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/utils/MathJax/2.1/config/KAthJax-da9a7f53e588f3837b045a600e1dc439.js

https://github.com/lhannon/khan-exercises
JavaScript | 7668 lines | 7668 code | 0 blank | 0 comment | 1806 complexity | da9a7f53e588f3837b045a600e1dc439 MD5 | raw file
    

  1. MathJax.Hub.Config({
    2. 

  2. messageStyle: "none",
    3. 

  3. skipStartupTypeset: !0,
    4. 

  4. jax: [ "input/TeX", "output/HTML-CSS" ],
    5. 

  5. extensions: [ "tex2jax.js", "MathZoom.js" ],
    6. 

  6. TeX: {
    7. 

  7. extensions: [ "AMSmath.js", "AMSsymbols.js", "noErrors.js", "noUndefined.js", "newcommand.js", "boldsymbol.js" ],
    8. 

  8. Macros: {
    9. 

  9. RR: "\\mathbb{R}",
    10. 

  10. blue: "\\color{#6495ED}",
    11. 

  11. orange: "\\color{#FFA500}",
    12. 

  12. pink: "\\color{#FF00AF}",
    13. 

  13. red: "\\color{#DF0030}",
    14. 

  14. green: "\\color{#28AE7B}",
    15. 

  15. gray: "\\color{gray}",
    16. 

  16. purple: "\\color{#9D38BD}"
    17. 

  17. },
    18. 

  18. Augment: {
    19. 

  19. Definitions: {
    20. 

  20. macros: {
    21. 

  21. lrsplit: "LRSplit",
    22. 

  22. cancel: "Cancel",
    23. 

  23. lcm: [ "NamedOp", 0 ]
    24. 

  24. }
    25. 

  25. },
    26. 

  26. Parse: {
    27. 

  27. prototype: {
    28. 

  28. LRSplit: function(e) {
    29. 

  29. var t = this.GetArgument(e), n = this.GetArgument(e), r = MathJax.ElementJax.mml.mfrac(MathJax.InputJax.TeX.Parse("\\strut\\textstyle{" + t + "\\qquad}", this.stack.env).mml(), MathJax.InputJax.TeX.Parse("\\strut\\textstyle{\\qquad " + n + "}", this.stack.env).mml());
    30. 

  30. r.numalign = MathJax.ElementJax.mml.ALIGN.LEFT, r.denomalign = MathJax.ElementJax.mml.ALIGN.RIGHT, r.linethickness = "0em", this.Push(r);
    31. 

  31. },
    32. 

  32. Cancel: function(e) {
    33. 

  33. this.Push(MathJax.ElementJax.mml.menclose(this.ParseArg(e)).With({
    34. 

  34. notation: MathJax.ElementJax.mml.NOTATION.UPDIAGONALSTRIKE
    35. 

  35. }));
    36. 

  36. }
    37. 

  37. }
    38. 

  38. }
    39. 

  39. }
    40. 

  40. },
    41. 

  41. "HTML-CSS": {
    42. 

  42. scale: 100,
    43. 

  43. showMathMenu: !1,
    44. 

  44. availableFonts: [ "TeX" ],
    45. 

  45. imageFont: null
    46. 

  46. }
    47. 

  47. }), MathJax.Ajax.timeout = 6e4, MathJax.Ajax.loadError = function(e) {
    48. 

  48. return function(t) {
    49. 

  49. Khan.warnTimeout(), MathJax.Ajax.loadComplete = function(e) {}, e.call(this, t);
    50. 

  50. };
    51. 

  51. }(MathJax.Ajax.loadError), MathJax.Hub.Register.StartupHook("HTML-CSS Jax - disable web fonts", function() {
    52. 

  52. Khan.warnFont();
    53. 

  53. }), MathJax.Message.Init = function(e) {
    54. 

  54. return function(t) {
    55. 

  55. if (this.div && this.div.parentNode == null) {
    56. 

  56. var n = document.getElementById("MathJax_Message");
    57. 

  57. if (n && n.firstChild == null) {
    58. 

  58. var r = n.parentNode;
    59. 

  59. r && r.removeChild(n);
    60. 

  60. }
    61. 

  61. }
    62. 

  62. e.call(this, t);
    63. 

  63. };
    64. 

  64. }(MathJax.Message.Init), MathJax.Hub.Startup.onload(), MathJax.Ajax.Preloading("[MathJax]/extensions/MathEvents.js", "[MathJax]/extensions/MathMenu.js", "[MathJax]/extensions/MathZoom.js", "[MathJax]/extensions/TeX/AMSmath.js", "[MathJax]/extensions/TeX/AMSsymbols.js", "[MathJax]/extensions/TeX/noErrors.js", "[MathJax]/extensions/TeX/noUndefined.js", "[MathJax]/extensions/TeX/newcommand.js", "[MathJax]/extensions/TeX/boldsymbol.js", "[MathJax]/extensions/tex2jax.js", "[MathJax]/jax/element/mml/jax.js", "[MathJax]/jax/input/TeX/config.js", "[MathJax]/jax/input/TeX/jax.js", "[MathJax]/jax/output/HTML-CSS/config.js", "[MathJax]/jax/output/HTML-CSS/jax.js"), MathJax.Hub.Config({
    65. 

  65. "v1.0-compatible": !1
    66. 

  66. }), function(e, t, n, r, i, s) {
    67. 

  67. var o = "2.1", u = MathJax.Extension, a = u.MathEvents = {
    68. 

  68. version: o
    69. 

  69. }, f = e.config.menuSettings, l = {
    70. 

  70. hover: 500,
    71. 

  71. frame: {
    72. 

  72. x: 3.5,
    73. 

  73. y: 5,
    74. 

  74. bwidth: 1,
    75. 

  75. bcolor: "#A6D",
    76. 

  76. hwidth: "15px",
    77. 

  77. hcolor: "#83A"
    78. 

  78. },
    79. 

  79. button: {
    80. 

  80. x: -4,
    81. 

  81. y: -3,
    82. 

  82. wx: -2,
    83. 

  83. src: n.fileURL(i.imageDir + "/MenuArrow-15.png")
    84. 

  84. },
    85. 

  85. fadeinInc: .2,
    86. 

  86. fadeoutInc: .05,
    87. 

  87. fadeDelay: 50,
    88. 

  88. fadeoutStart: 400,
    89. 

  89. fadeoutDelay: 15e3,
    90. 

  90. styles: {
    91. 

  91. ".MathJax_Hover_Frame": {
    92. 

  92. "border-radius": ".25em",
    93. 

  93. "-webkit-border-radius": ".25em",
    94. 

  94. "-moz-border-radius": ".25em",
    95. 

  95. "-khtml-border-radius": ".25em",
    96. 

  96. "box-shadow": "0px 0px 15px #83A",
    97. 

  97. "-webkit-box-shadow": "0px 0px 15px #83A",
    98. 

  98. "-moz-box-shadow": "0px 0px 15px #83A",
    99. 

  99. "-khtml-box-shadow": "0px 0px 15px #83A",
    100. 

  100. border: "1px solid #A6D ! important",
    101. 

  101. display: "inline-block",
    102. 

  102. position: "absolute"
    103. 

  103. },
    104. 

  104. ".MathJax_Hover_Arrow": {
    105. 

  105. position: "absolute",
    106. 

  106. width: "15px",
    107. 

  107. height: "11px",
    108. 

  108. cursor: "pointer"
    109. 

  109. }
    110. 

  110. }
    111. 

  111. }, c = a.Event = {
    112. 

  112. LEFTBUTTON: 0,
    113. 

  113. RIGHTBUTTON: 2,
    114. 

  114. MENUKEY: "altKey",
    115. 

  115. Mousedown: function(e) {
    116. 

  116. return c.Handler(e, "Mousedown", this);
    117. 

  117. },
    118. 

  118. Mouseup: function(e) {
    119. 

  119. return c.Handler(e, "Mouseup", this);
    120. 

  120. },
    121. 

  121. Mousemove: function(e) {
    122. 

  122. return c.Handler(e, "Mousemove", this);
    123. 

  123. },
    124. 

  124. Mouseover: function(e) {
    125. 

  125. return c.Handler(e, "Mouseover", this);
    126. 

  126. },
    127. 

  127. Mouseout: function(e) {
    128. 

  128. return c.Handler(e, "Mouseout", this);
    129. 

  129. },
    130. 

  130. Click: function(e) {
    131. 

  131. return c.Handler(e, "Click", this);
    132. 

  132. },
    133. 

  133. DblClick: function(e) {
    134. 

  134. return c.Handler(e, "DblClick", this);
    135. 

  135. },
    136. 

  136. Menu: function(e) {
    137. 

  137. return c.Handler(e, "ContextMenu", this);
    138. 

  138. },
    139. 

  139. Handler: function(e, t, r) {
    140. 

  140. if (n.loadingMathMenu) return c.False(e);
    141. 

  141. var s = i[r.jaxID];
    142. 

  142. e || (e = window.event), e.isContextMenu = t === "ContextMenu";
    143. 

  143. if (s[t]) return s[t](e, r);
    144. 

  144. if (u.MathZoom) return u.MathZoom.HandleEvent(e, t, r);
    145. 

  145. },
    146. 

  146. False: function(e) {
    147. 

  147. return e || (e = window.event), e && (e.preventDefault && e.preventDefault(), e.stopPropagation && e.stopPropagation(), e.cancelBubble = !0, e.returnValue = !1), !1;
    148. 

  148. },
    149. 

  149. ContextMenu: function(t, o, u) {
    150. 

  150. var l = i[o.jaxID], p = l.getJaxFromMath(o), d = (l.config.showMathMenu != null ? l : e).config.showMathMenu;
    151. 

  151. if (!d || f.context !== "MathJax" && !u) return;
    152. 

  152. a.msieEventBug && (t = window.event || t), c.ClearSelection(), h.ClearHoverTimer(), p.hover && (p.hover.remove && (clearTimeout(p.hover.remove), delete p.hover.remove), p.hover.nofade = !0);
    153. 

  153. var v = MathJax.Menu;
    154. 

  154. if (v) {
    155. 

  155. v.jax = p;
    156. 

  156. var y = v.menu.Find("Show Math As").menu;
    157. 

  157. y.items[1].name = s[p.inputJax].sourceMenuTitle || "Original Form", y.items[0].hidden = p.inputJax === "Error";
    158. 

  158. var w = v.menu.Find("Math Settings", "MathPlayer");
    159. 

  159. return w.hidden = p.outputJax !== "NativeMML" || !e.Browser.hasMathPlayer, v.menu.Post(t);
    160. 

  160. }
    161. 

  161. if (!n.loadingMathMenu) {
    162. 

  162. n.loadingMathMenu = !0;
    163. 

  163. var E = {
    164. 

  164. pageX: t.pageX,
    165. 

  165. pageY: t.pageY,
    166. 

  166. clientX: t.clientX,
    167. 

  167. clientY: t.clientY
    168. 

  168. };
    169. 

  169. r.Queue(n.Require("[MathJax]/extensions/MathMenu.js"), function() {
    170. 

  170. delete n.loadingMathMenu, MathJax.Menu || (MathJax.Menu = {});
    171. 

  171. }, [ "ContextMenu", this, E, o, u ]);
    172. 

  172. }
    173. 

  173. return c.False(t);
    174. 

  174. },
    175. 

  175. AltContextMenu: function(t, n) {
    176. 

  176. var r = i[n.jaxID], s = (r.config.showMathMenu != null ? r : e).config.showMathMenu;
    177. 

  177. if (s) {
    178. 

  178. s = (r.config.showMathMenuMSIE != null ? r : e).config.showMathMenuMSIE;
    179. 

  179. if (f.context === "MathJax" && !f.mpContext && s) {
    180. 

  180. if (!a.noContextMenuBug || t.button !== c.RIGHTBUTTON) return;
    181. 

  181. } else if (!t[c.MENUKEY] || t.button !== c.LEFTBUTTON) return;
    182. 

  182. return r.ContextMenu(t, n, !0);
    183. 

  183. }
    184. 

  184. },
    185. 

  185. ClearSelection: function() {
    186. 

  186. a.safariContextMenuBug && setTimeout("window.getSelection().empty()", 0), document.selection && setTimeout("document.selection.empty()", 0);
    187. 

  187. },
    188. 

  188. getBBox: function(e) {
    189. 

  189. e.appendChild(a.topImg);
    190. 

  190. var t = a.topImg.offsetTop, n = e.offsetHeight - t, r = e.offsetWidth;
    191. 

  191. return e.removeChild(a.topImg), {
    192. 

  192. w: r,
    193. 

  193. h: t,
    194. 

  194. d: n
    195. 

  195. };
    196. 

  196. }
    197. 

  197. }, h = a.Hover = {
    198. 

  198. Mouseover: function(t, n) {
    199. 

  199. if (f.discoverable || f.zoom === "Hover") {
    200. 

  200. var r = t.fromElement || t.relatedTarget, i = t.toElement || t.target;
    201. 

  201. if (r && i && (r.isMathJax != i.isMathJax || e.getJaxFor(r) !== e.getJaxFor(i))) {
    202. 

  202. var s = this.getJaxFromMath(n);
    203. 

  203. return s.hover ? h.ReHover(s) : h.HoverTimer(s, n), c.False(t);
    204. 

  204. }
    205. 

  205. }
    206. 

  206. },
    207. 

  207. Mouseout: function(t, n) {
    208. 

  208. if (f.discoverable || f.zoom === "Hover") {
    209. 

  209. var r = t.fromElement || t.relatedTarget, i = t.toElement || t.target;
    210. 

  210. if (r && i && (r.isMathJax != i.isMathJax || e.getJaxFor(r) !== e.getJaxFor(i))) {
    211. 

  211. var s = this.getJaxFromMath(n);
    212. 

  212. return s.hover ? h.UnHover(s) : h.ClearHoverTimer(), c.False(t);
    213. 

  213. }
    214. 

  214. }
    215. 

  215. },
    216. 

  216. Mousemove: function(e, t) {
    217. 

  217. if (f.discoverable || f.zoom === "Hover") {
    218. 

  218. var n = this.getJaxFromMath(t);
    219. 

  219. if (n.hover) return;
    220. 

  220. if (h.lastX == e.clientX && h.lastY == e.clientY) return;
    221. 

  221. return h.lastX = e.clientX, h.lastY = e.clientY, h.HoverTimer(n, t), c.False(e);
    222. 

  222. }
    223. 

  223. },
    224. 

  224. HoverTimer: function(e, t) {
    225. 

  225. this.ClearHoverTimer(), this.hoverTimer = setTimeout(r([ "Hover", this, e, t ]), l.hover);
    226. 

  226. },
    227. 

  227. ClearHoverTimer: function() {
    228. 

  228. this.hoverTimer && (clearTimeout(this.hoverTimer), delete this.hoverTimer);
    229. 

  229. },
    230. 

  230. Hover: function(n, r) {
    231. 

  231. if (u.MathZoom && u.MathZoom.Hover({}, r)) return;
    232. 

  232. var s = i[n.outputJax], o = s.getHoverSpan(n, r), f = s.getHoverBBox(n, o, r), c = (s.config.showMathMenu != null ? s : e).config.showMathMenu, h = l.frame.x, p = l.frame.y, d = l.frame.bwidth;
    233. 

  233. a.msieBorderWidthBug && (d = 0), n.hover = {
    234. 

  234. opacity: 0,
    235. 

  235. id: n.inputID + "-Hover"
    236. 

  236. };
    237. 

  237. var v = t.Element("span", {
    238. 

  238. id: n.hover.id,
    239. 

  239. isMathJax: !0,
    240. 

  240. style: {
    241. 

  241. display: "inline-block",
    242. 

  242. width: 0,
    243. 

  243. height: 0,
    244. 

  244. position: "relative"
    245. 

  245. }
    246. 

  246. }, [ [ "span", {
    247. 

  247. className: "MathJax_Hover_Frame",
    248. 

  248. isMathJax: !0,
    249. 

  249. style: {
    250. 

  250. display: "inline-block",
    251. 

  251. position: "absolute",
    252. 

  252. top: this.Px(-f.h - p - d - (f.y || 0)),
    253. 

  253. left: this.Px(-h - d + (f.x || 0)),
    254. 

  254. width: this.Px(f.w + 2 * h),
    255. 

  255. height: this.Px(f.h + f.d + 2 * p),
    256. 

  256. opacity: 0,
    257. 

  257. filter: "alpha(opacity=0)"
    258. 

  258. }
    259. 

  259. } ] ]), m = t.Element("span", {
    260. 

  260. isMathJax: !0,
    261. 

  261. id: n.hover.id + "Menu",
    262. 

  262. style: {
    263. 

  263. display: "inline-block",
    264. 

  264. "z-index": 1,
    265. 

  265. width: 0,
    266. 

  266. height: 0,
    267. 

  267. position: "relative"
    268. 

  268. }
    269. 

  269. }, [ [ "img", {
    270. 

  270. className: "MathJax_Hover_Arrow",
    271. 

  271. isMathJax: !0,
    272. 

  272. math: r,
    273. 

  273. src: l.button.src,
    274. 

  274. onclick: this.HoverMenu,
    275. 

  275. jax: s.id,
    276. 

  276. style: {
    277. 

  277. left: this.Px(f.w + h + d + (f.x || 0) + l.button.x),
    278. 

  278. top: this.Px(-f.h - p - d - (f.y || 0) - l.button.y),
    279. 

  279. opacity: 0,
    280. 

  280. filter: "alpha(opacity=0)"
    281. 

  281. }
    282. 

  282. } ] ]);
    283. 

  283. f.width && (v.style.width = m.style.width = f.width, v.style.marginRight = m.style.marginRight = "-" + f.width, v.firstChild.style.width = f.width, m.firstChild.style.left = "", m.firstChild.style.right = this.Px(l.button.wx)), o.parentNode.insertBefore(v, o), c && o.parentNode.insertBefore(m, o), o.style && (o.style.position = "relative"), this.ReHover(n);
    284. 

  284. },
    285. 

  285. ReHover: function(e) {
    286. 

  286. e.hover.remove && clearTimeout(e.hover.remove), e.hover.remove = setTimeout(r([ "UnHover", this, e ]), l.fadeoutDelay), this.HoverFadeTimer(e, l.fadeinInc);
    287. 

  287. },
    288. 

  288. UnHover: function(e) {
    289. 

  289. e.hover.nofade || this.HoverFadeTimer(e, -l.fadeoutInc, l.fadeoutStart);
    290. 

  290. },
    291. 

  291. HoverFade: function(e) {
    292. 

  292. delete e.hover.timer, e.hover.opacity = Math.max(0, Math.min(1, e.hover.opacity + e.hover.inc)), e.hover.opacity = Math.floor(1e3 * e.hover.opacity) / 1e3;
    293. 

  293. var t = document.getElementById(e.hover.id), n = document.getElementById(e.hover.id + "Menu");
    294. 

  294. t.firstChild.style.opacity = e.hover.opacity, t.firstChild.style.filter = "alpha(opacity=" + Math.floor(100 * e.hover.opacity) + ")", n && (n.firstChild.style.opacity = e.hover.opacity, n.firstChild.style.filter = t.style.filter);
    295. 

  295. if (e.hover.opacity === 1) return;
    296. 

  296. if (e.hover.opacity > 0) {
    297. 

  297. this.HoverFadeTimer(e, e.hover.inc);
    298. 

  298. return;
    299. 

  299. }
    300. 

  300. t.parentNode.removeChild(t), n && n.parentNode.removeChild(n), e.hover.remove && clearTimeout(e.hover.remove), delete e.hover;
    301. 

  301. },
    302. 

  302. HoverFadeTimer: function(e, t, n) {
    303. 

  303. e.hover.inc = t, e.hover.timer || (e.hover.timer = setTimeout(r([ "HoverFade", this, e ]), n || l.fadeDelay));
    304. 

  304. },
    305. 

  305. HoverMenu: function(e) {
    306. 

  306. return e || (e = window.event), i[this.jax].ContextMenu(e, this.math, !0);
    307. 

  307. },
    308. 

  308. ClearHover: function(e) {
    309. 

  309. e.hover.remove && clearTimeout(e.hover.remove), e.hover.timer && clearTimeout(e.hover.timer), h.ClearHoverTimer(), delete e.hover;
    310. 

  310. },
    311. 

  311. Px: function(e) {
    312. 

  312. return Math.abs(e) < .006 ? "0px" : e.toFixed(2).replace(/\.?0+$/, "") + "px";
    313. 

  313. },
    314. 

  314. getImages: function() {
    315. 

  315. var e = new Image;
    316. 

  316. e.src = l.button.src;
    317. 

  317. }
    318. 

  318. }, p = a.Touch = {
    319. 

  319. last: 0,
    320. 

  320. delay: 500,
    321. 

  321. start: function(e) {
    322. 

  322. var t = (new Date).getTime(), n = t - p.last < p.delay && p.up;
    323. 

  323. p.last = t, p.up = !1, n && (p.timeout = setTimeout(p.menu, p.delay, e, this), e.preventDefault());
    324. 

  324. },
    325. 

  325. end: function(e) {
    326. 

  326. var t = (new Date).getTime();
    327. 

  327. p.up = t - p.last < p.delay;
    328. 

  328. if (p.timeout) return clearTimeout(p.timeout), delete p.timeout, p.last = 0, p.up = !1, e.preventDefault(), c.Handler(e.touches[0] || e.touch, "DblClick", this);
    329. 

  329. },
    330. 

  330. menu: function(e, t) {
    331. 

  331. return delete p.timeout, p.last = 0, p.up = !1, c.Handler(e.touches[0] || e.touch, "ContextMenu", t);
    332. 

  332. }
    333. 

  333. };
    334. 

  334. if (e.Browser.isMobile) {
    335. 

  335. var d = l.styles[".MathJax_Hover_Arrow"];
    336. 

  336. d.width = "25px", d.height = "18px", l.button.x = -6;
    337. 

  337. }
    338. 

  338. e.Browser.Select({
    339. 

  339. MSIE: function(e) {
    340. 

  340. var t = document.documentMode || 0, n = e.versionAtLeast("8.0");
    341. 

  341. a.msieBorderWidthBug = document.compatMode === "BackCompat", a.msieEventBug = e.isIE9, a.msieAlignBug = !n || t < 8, t < 9 && (c.LEFTBUTTON = 1);
    342. 

  342. },
    343. 

  343. Safari: function(e) {
    344. 

  344. a.safariContextMenuBug = !0;
    345. 

  345. },
    346. 

  346. Opera: function(e) {
    347. 

  347. a.operaPositionBug = !0;
    348. 

  348. },
    349. 

  349. Konqueror: function(e) {
    350. 

  350. a.noContextMenuBug = !0;
    351. 

  351. }
    352. 

  352. }), a.topImg = a.msieAlignBug ? t.Element("img", {
    353. 

  353. style: {
    354. 

  354. width: 0,
    355. 

  355. height: 0,
    356. 

  356. position: "relative"
    357. 

  357. },
    358. 

  358. src: "about:blank"
    359. 

  359. }) : t.Element("span", {
    360. 

  360. style: {
    361. 

  361. width: 0,
    362. 

  362. height: 0,
    363. 

  363. display: "inline-block"
    364. 

  364. }
    365. 

  365. }), a.operaPositionBug && (a.topImg.style.border = "1px solid"), a.config = l = e.CombineConfig("MathEvents", l);
    366. 

  366. var v = function() {
    367. 

  367. var e = l.styles[".MathJax_Hover_Frame"];
    368. 

  368. e.border = l.frame.bwidth + "px solid " + l.frame.bcolor + " ! important", e["box-shadow"] = e["-webkit-box-shadow"] = e["-moz-box-shadow"] = e["-khtml-box-shadow"] = "0px 0px " + l.frame.hwidth + " " + l.frame.hcolor;
    369. 

  369. };
    370. 

  370. r.Queue(e.Register.StartupHook("End Config", {}), [ v ], [ "getImages", h ], [ "Styles", n, l.styles ], [ "Post", e.Startup.signal, "MathEvents Ready" ], [ "loadComplete", n, "[MathJax]/extensions/MathEvents.js" ]);
    371. 

  371. }(MathJax.Hub, MathJax.HTML, MathJax.Ajax, MathJax.Callback, MathJax.OutputJax, MathJax.InputJax), function(e, t, n, r, i) {
    372. 

  372. var s = "2.1", o = MathJax.Callback.Signal("menu");
    373. 

  373. MathJax.Extension.MathMenu = {
    374. 

  374. version: s,
    375. 

  375. signal: o
    376. 

  376. };
    377. 

  377. var u = e.Browser.isPC, a = e.Browser.isMSIE, f = (document.documentMode || 0) > 8, l = u ? null : "5px", c = e.CombineConfig("MathMenu", {
    378. 

  378. delay: 150,
    379. 

  379. helpURL: "http://www.mathjax.org/help-v2/user/",
    380. 

  380. closeImg: n.fileURL(i.imageDir + "/CloseX-31.png"),
    381. 

  381. showRenderer: !0,
    382. 

  382. showMathPlayer: !0,
    383. 

  383. showFontMenu: !1,
    384. 

  384. showContext: !1,
    385. 

  385. showDiscoverable: !1,
    386. 

  386. windowSettings: {
    387. 

  387. status: "no",
    388. 

  388. toolbar: "no",
    389. 

  389. locationbar: "no",
    390. 

  390. menubar: "no",
    391. 

  391. directories: "no",
    392. 

  392. personalbar: "no",
    393. 

  393. resizable: "yes",
    394. 

  394. scrollbars: "yes",
    395. 

  395. width: 400,
    396. 

  396. height: 300,
    397. 

  397. left: Math.round((screen.width - 400) / 2),
    398. 

  398. top: Math.round((screen.height - 300) / 3)
    399. 

  399. },
    400. 

  400. styles: {
    401. 

  401. "#MathJax_About": {
    402. 

  402. position: "fixed",
    403. 

  403. left: "50%",
    404. 

  404. width: "auto",
    405. 

  405. "text-align": "center",
    406. 

  406. border: "3px outset",
    407. 

  407. padding: "1em 2em",
    408. 

  408. "background-color": "#DDDDDD",
    409. 

  409. color: "black",
    410. 

  410. cursor: "default",
    411. 

  411. "font-family": "message-box",
    412. 

  412. "font-size": "120%",
    413. 

  413. "font-style": "normal",
    414. 

  414. "text-indent": 0,
    415. 

  415. "text-transform": "none",
    416. 

  416. "line-height": "normal",
    417. 

  417. "letter-spacing": "normal",
    418. 

  418. "word-spacing": "normal",
    419. 

  419. "word-wrap": "normal",
    420. 

  420. "white-space": "nowrap",
    421. 

  421. "float": "none",
    422. 

  422. "z-index": 201,
    423. 

  423. "border-radius": "15px",
    424. 

  424. "-webkit-border-radius": "15px",
    425. 

  425. "-moz-border-radius": "15px",
    426. 

  426. "-khtml-border-radius": "15px",
    427. 

  427. "box-shadow": "0px 10px 20px #808080",
    428. 

  428. "-webkit-box-shadow": "0px 10px 20px #808080",
    429. 

  429. "-moz-box-shadow": "0px 10px 20px #808080",
    430. 

  430. "-khtml-box-shadow": "0px 10px 20px #808080",
    431. 

  431. filter: "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"
    432. 

  432. },
    433. 

  433. ".MathJax_Menu": {
    434. 

  434. position: "absolute",
    435. 

  435. "background-color": "white",
    436. 

  436. color: "black",
    437. 

  437. width: "auto",
    438. 

  438. padding: u ? "2px" : "5px 0px",
    439. 

  439. border: "1px solid #CCCCCC",
    440. 

  440. margin: 0,
    441. 

  441. cursor: "default",
    442. 

  442. font: "menu",
    443. 

  443. "text-align": "left",
    444. 

  444. "text-indent": 0,
    445. 

  445. "text-transform": "none",
    446. 

  446. "line-height": "normal",
    447. 

  447. "letter-spacing": "normal",
    448. 

  448. "word-spacing": "normal",
    449. 

  449. "word-wrap": "normal",
    450. 

  450. "white-space": "nowrap",
    451. 

  451. "float": "none",
    452. 

  452. "z-index": 201,
    453. 

  453. "border-radius": l,
    454. 

  454. "-webkit-border-radius": l,
    455. 

  455. "-moz-border-radius": l,
    456. 

  456. "-khtml-border-radius": l,
    457. 

  457. "box-shadow": "0px 10px 20px #808080",
    458. 

  458. "-webkit-box-shadow": "0px 10px 20px #808080",
    459. 

  459. "-moz-box-shadow": "0px 10px 20px #808080",
    460. 

  460. "-khtml-box-shadow": "0px 10px 20px #808080",
    461. 

  461. filter: "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"
    462. 

  462. },
    463. 

  463. ".MathJax_MenuItem": {
    464. 

  464. padding: u ? "2px 2em" : "1px 2em",
    465. 

  465. background: "transparent"
    466. 

  466. },
    467. 

  467. ".MathJax_MenuTitle": {
    468. 

  468. "background-color": "#CCCCCC",
    469. 

  469. margin: u ? "-1px -1px 1px -1px" : "-5px 0 0 0",
    470. 

  470. "text-align": "center",
    471. 

  471. "font-style": "italic",
    472. 

  472. "font-size": "80%",
    473. 

  473. color: "#444444",
    474. 

  474. padding: "2px 0",
    475. 

  475. overflow: "hidden"
    476. 

  476. },
    477. 

  477. ".MathJax_MenuArrow": {
    478. 

  478. position: "absolute",
    479. 

  479. right: ".5em",
    480. 

  480. color: "#666666",
    481. 

  481. "font-family": a ? "'Arial unicode MS'" : null
    482. 

  482. },
    483. 

  483. ".MathJax_MenuActive .MathJax_MenuArrow": {
    484. 

  484. color: "white"
    485. 

  485. },
    486. 

  486. ".MathJax_MenuCheck": {
    487. 

  487. position: "absolute",
    488. 

  488. left: ".7em",
    489. 

  489. "font-family": a ? "'Arial unicode MS'" : null
    490. 

  490. },
    491. 

  491. ".MathJax_MenuRadioCheck": {
    492. 

  492. position: "absolute",
    493. 

  493. left: u ? "1em" : ".7em"
    494. 

  494. },
    495. 

  495. ".MathJax_MenuLabel": {
    496. 

  496. padding: u ? "2px 2em 4px 1.33em" : "1px 2em 3px 1.33em",
    497. 

  497. "font-style": "italic"
    498. 

  498. },
    499. 

  499. ".MathJax_MenuRule": {
    500. 

  500. "border-top": u ? "1px solid #CCCCCC" : "1px solid #DDDDDD",
    501. 

  501. margin: u ? "4px 1px 0px" : "4px 3px"
    502. 

  502. },
    503. 

  503. ".MathJax_MenuDisabled": {
    504. 

  504. color: "GrayText"
    505. 

  505. },
    506. 

  506. ".MathJax_MenuActive": {
    507. 

  507. "background-color": u ? "Highlight" : "#606872",
    508. 

  508. color: u ? "HighlightText" : "white"
    509. 

  509. },
    510. 

  510. ".MathJax_Menu_Close": {
    511. 

  511. position: "absolute",
    512. 

  512. width: "31px",
    513. 

  513. height: "31px",
    514. 

  514. top: "-15px",
    515. 

  515. left: "-15px"
    516. 

  516. }
    517. 

  517. }
    518. 

  518. }), h, p;
    519. 

  519. e.Register.StartupHook("MathEvents Ready", function() {
    520. 

  520. h = MathJax.Extension.MathEvents.Event.False, p = MathJax.Extension.MathEvents.Hover;
    521. 

  521. });
    522. 

  522. var d = MathJax.Menu = MathJax.Object.Subclass({
    523. 

  523. version: s,
    524. 

  524. items: [],
    525. 

  525. posted: !1,
    526. 

  526. title: null,
    527. 

  527. margin: 5,
    528. 

  528. Init: function(e) {
    529. 

  529. this.items = [].slice.call(arguments, 0);
    530. 

  530. },
    531. 

  531. With: function(t) {
    532. 

  532. return t && e.Insert(this, t), this;
    533. 

  533. },
    534. 

  534. Post: function(e, n) {
    535. 

  535. e || (e = window.event);
    536. 

  536. var r = this.title ? [ [ "div", {
    537. 

  537. className: "MathJax_MenuTitle"
    538. 

  538. }, [ this.title ] ] ] : null, i = document.getElementById("MathJax_MenuFrame");
    539. 

  539. i || (i = d.Background(this), delete v.lastItem, delete v.lastMenu, delete d.skipUp, o.Post([ "post", d.jax ]));
    540. 

  540. var s = t.addElement(i, "div", {
    541. 

  541. onmouseup: d.Mouseup,
    542. 

  542. ondblclick: h,
    543. 

  543. ondragstart: h,
    544. 

  544. onselectstart: h,
    545. 

  545. oncontextmenu: h,
    546. 

  546. menuItem: this,
    547. 

  547. className: "MathJax_Menu"
    548. 

  548. }, r);
    549. 

  549. for (var a = 0, f = this.items.length; a < f; a++) this.items[a].Create(s);
    550. 

  550. d.isMobile && t.addElement(s, "span", {
    551. 

  551. className: "MathJax_Menu_Close",
    552. 

  552. menu: n,
    553. 

  553. ontouchstart: d.Close,
    554. 

  554. ontouchend: h,
    555. 

  555. onmousedown: d.Close,
    556. 

  556. onmouseup: h
    557. 

  557. }, [ [ "img", {
    558. 

  558. src: c.closeImg,
    559. 

  559. style: {
    560. 

  560. width: "100%",
    561. 

  561. height: "100%"
    562. 

  562. }
    563. 

  563. } ] ]), this.posted = !0, s.style.width = s.offsetWidth + 2 + "px";
    564. 

  564. var l = e.pageX, p = e.pageY;
    565. 

  565. !l && !p && (l = e.clientX + document.body.scrollLeft + document.documentElement.scrollLeft, p = e.clientY + document.body.scrollTop + document.documentElement.scrollTop);
    566. 

  566. if (!n) l + s.offsetWidth > document.body.offsetWidth - this.margin && (l = document.body.offsetWidth - s.offsetWidth - this.margin), d.isMobile && (l = Math.max(5, l - Math.floor(s.offsetWidth / 2)), p -= 20), d.skipUp = e.isContextMenu; else {
    567. 

  567. var y = "left", b = n.offsetWidth;
    568. 

  568. l = d.isMobile ? 30 : b - 2, p = 0;
    569. 

  569. while (n && n !== i) l += n.offsetLeft, p += n.offsetTop, n = n.parentNode;
    570. 

  570. l + s.offsetWidth > document.body.offsetWidth - this.margin && !d.isMobile && (y = "right", l = Math.max(this.margin, l - b - s.offsetWidth + 6)), u || (s.style["borderRadiusTop" + y] = 0, s.style["WebkitBorderRadiusTop" + y] = 0, s.style["MozBorderRadiusTop" + y] = 0, s.style["KhtmlBorderRadiusTop" + y] = 0);
    571. 

  571. }
    572. 

  572. return s.style.left = l + "px", s.style.top = p + "px", document.selection && document.selection.empty && document.selection.empty(), h(e);
    573. 

  573. },
    574. 

  574. Remove: function(e, t) {
    575. 

  575. o.Post([ "unpost", d.jax ]);
    576. 

  576. var n = document.getElementById("MathJax_MenuFrame");
    577. 

  577. return n && (n.parentNode.removeChild(n), this.msieFixedPositionBug && detachEvent("onresize", d.Resize)), d.jax.hover && (delete d.jax.hover.nofade, p.UnHover(d.jax)), h(e);
    578. 

  578. },
    579. 

  579. Find: function(e) {
    580. 

  580. var t = [].slice.call(arguments, 1);
    581. 

  581. for (var n = 0, r = this.items.length; n < r; n++) if (this.items[n].name === e) return t.length ? this.items[n].menu ? this.items[n].menu.Find.apply(this.items[n].menu, t) : null : this.items[n];
    582. 

  582. return null;
    583. 

  583. },
    584. 

  584. IndexOf: function(e) {
    585. 

  585. for (var t = 0, n = this.items.length; t < n; t++) if (this.items[t].name === e) return t;
    586. 

  586. return null;
    587. 

  587. }
    588. 

  588. }, {
    589. 

  589. config: c,
    590. 

  590. div: null,
    591. 

  591. Close: function(e) {
    592. 

  592. return d.Event(e, this.menu || this.parentNode, this.menu ? "Touchend" : "Remove");
    593. 

  593. },
    594. 

  594. Remove: function(e) {
    595. 

  595. return d.Event(e, this, "Remove");
    596. 

  596. },
    597. 

  597. Mouseover: function(e) {
    598. 

  598. return d.Event(e, this, "Mouseover");
    599. 

  599. },
    600. 

  600. Mouseout: function(e) {
    601. 

  601. return d.Event(e, this, "Mouseout");
    602. 

  602. },
    603. 

  603. Mousedown: function(e) {
    604. 

  604. return d.Event(e, this, "Mousedown");
    605. 

  605. },
    606. 

  606. Mouseup: function(e) {
    607. 

  607. return d.Event(e, this, "Mouseup");
    608. 

  608. },
    609. 

  609. Touchstart: function(e) {
    610. 

  610. return d.Event(e, this, "Touchstart");
    611. 

  611. },
    612. 

  612. Touchend: function(e) {
    613. 

  613. return d.Event(e, this, "Touchend");
    614. 

  614. },
    615. 

  615. Event: function(e, t, n, r) {
    616. 

  616. if (d.skipMouseover && n === "Mouseover" && !r) return h(e);
    617. 

  617. if (d.skipUp) {
    618. 

  618. if (n.match(/Mouseup|Touchend/)) return delete d.skipUp, h(e);
    619. 

  619. (n === "Touchstart" || n === "Mousedown" && !d.skipMousedown) && delete d.skipUp;
    620. 

  620. }
    621. 

  621. e || (e = window.event);
    622. 

  622. var i = t.menuItem;
    623. 

  623. return i && i[n] ? i[n](e, t) : null;
    624. 

  624. },
    625. 

  625. BGSTYLE: {
    626. 

  626. position: "absolute",
    627. 

  627. left: 0,
    628. 

  628. top: 0,
    629. 

  629. "z-index": 200,
    630. 

  630. width: "100%",
    631. 

  631. height: "100%",
    632. 

  632. border: 0,
    633. 

  633. padding: 0,
    634. 

  634. margin: 0
    635. 

  635. },
    636. 

  636. Background: function(e) {
    637. 

  637. var n = t.addElement(document.body, "div", {
    638. 

  638. style: this.BGSTYLE,
    639. 

  639. id: "MathJax_MenuFrame"
    640. 

  640. }, [ [ "div", {
    641. 

  641. style: this.BGSTYLE,
    642. 

  642. menuItem: e,
    643. 

  643. onmousedown: this.Remove
    644. 

  644. } ] ]), r = n.firstChild;
    645. 

  645. return e.msieBackgroundBug && (r.style.backgroundColor = "white", r.style.filter = "alpha(opacity=0)"), e.msieFixedPositionBug ? (n.width = n.height = 0, this.Resize(), attachEvent("onresize", this.Resize)) : r.style.position = "fixed", n;
    646. 

  646. },
    647. 

  647. Resize: function() {
    648. 

  648. setTimeout(d.SetWH, 0);
    649. 

  649. },
    650. 

  650. SetWH: function() {
    651. 

  651. var e = document.getElementById("MathJax_MenuFrame");
    652. 

  652. e && (e = e.firstChild, e.style.width = e.style.height = "1px", e.style.width = document.body.scrollWidth + "px", e.style.height = document.body.scrollHeight + "px");
    653. 

  653. },
    654. 

  654. saveCookie: function() {
    655. 

  655. t.Cookie.Set("menu", this.cookie);
    656. 

  656. },
    657. 

  657. getCookie: function() {
    658. 

  658. this.cookie = t.Cookie.Get("menu");
    659. 

  659. },
    660. 

  660. getImages: function() {
    661. 

  661. if (d.isMobile) {
    662. 

  662. var e = new Image;
    663. 

  663. e.src = c.closeImg;
    664. 

  664. }
    665. 

  665. }
    666. 

  666. }), v = d.ITEM = MathJax.Object.Subclass({
    667. 

  667. name: "",
    668. 

  668. Create: function(e) {
    669. 

  669. if (!this.hidden) {
    670. 

  670. var n = {
    671. 

  671. onmouseover: d.Mouseover,
    672. 

  672. onmouseout: d.Mouseout,
    673. 

  673. onmouseup: d.Mouseup,
    674. 

  674. onmousedown: d.Mousedown,
    675. 

  675. ondragstart: h,
    676. 

  676. onselectstart: h,
    677. 

  677. onselectend: h,
    678. 

  678. ontouchstart: d.Touchstart,
    679. 

  679. ontouchend: d.Touchend,
    680. 

  680. className: "MathJax_MenuItem",
    681. 

  681. menuItem: this
    682. 

  682. };
    683. 

  683. this.disabled && (n.className += " MathJax_MenuDisabled"), t.addElement(e, "div", n, this.Label(n, e));
    684. 

  684. }
    685. 

  685. },
    686. 

  686. Mouseover: function(e, t) {
    687. 

  687. this.disabled || this.Activate(t);
    688. 

  688. if (!this.menu || !this.menu.posted) {
    689. 

  689. var n = document.getElementById("MathJax_MenuFrame").childNodes, r = t.parentNode.childNodes;
    690. 

  690. for (var i = 0, s = r.length; i < s; i++) {
    691. 

  691. var o = r[i].menuItem;
    692. 

  692. o && o.menu && o.menu.posted && o.Deactivate(r[i]);
    693. 

  693. }
    694. 

  694. s = n.length - 1;
    695. 

  695. while (s >= 0 && t.parentNode.menuItem !== n[s].menuItem) n[s].menuItem.posted = !1, n[s].parentNode.removeChild(n[s]), s--;
    696. 

  696. this.Timer && !d.isMobile && this.Timer(e, t);
    697. 

  697. }
    698. 

  698. },
    699. 

  699. Mouseout: function(e, t) {
    700. 

  700. (!this.menu || !this.menu.posted) && this.Deactivate(t), this.timer && (clearTimeout(this.timer), delete this.timer);
    701. 

  701. },
    702. 

  702. Mouseup: function(e, t) {
    703. 

  703. return this.Remove(e, t);
    704. 

  704. },
    705. 

  705. Touchstart: function(e, t) {
    706. 

  706. return this.TouchEvent(e, t, "Mousedown");
    707. 

  707. },
    708. 

  708. Touchend: function(e, t) {
    709. 

  709. return this.TouchEvent(e, t, "Mouseup");
    710. 

  710. },
    711. 

  711. TouchEvent: function(e, t, n) {
    712. 

  712. return this !== v.lastItem && (v.lastMenu && d.Event(e, v.lastMenu, "Mouseout"), d.Event(e, t, "Mouseover", !0), v.lastItem = this, v.lastMenu = t), this.nativeTouch ? null : (d.Event(e, t, n), !1);
    713. 

  713. },
    714. 

  714. Remove: function(e, t) {
    715. 

  715. return t = t.parentNode.menuItem, t.Remove(e, t);
    716. 

  716. },
    717. 

  717. Activate: function(e) {
    718. 

  718. this.Deactivate(e), e.className += " MathJax_MenuActive";
    719. 

  719. },
    720. 

  720. Deactivate: function(e) {
    721. 

  721. e.className = e.className.replace(/ MathJax_MenuActive/, "");
    722. 

  722. },
    723. 

  723. With: function(t) {
    724. 

  724. return t && e.Insert(this, t), this;
    725. 

  725. }
    726. 

  726. });
    727. 

  727. d.ITEM.COMMAND = d.ITEM.Subclass({
    728. 

  728. action: function() {},
    729. 

  729. Init: function(e, t, n) {
    730. 

  730. this.name = e, this.action = t, this.With(n);
    731. 

  731. },
    732. 

  732. Label: function(e, t) {
    733. 

  733. return [ this.name ];
    734. 

  734. },
    735. 

  735. Mouseup: function(e, t) {
    736. 

  736. return this.disabled || (this.Remove(e, t), o.Post([ "command", this ]), this.action.call(this, e)), h(e);
    737. 

  737. }
    738. 

  738. }), d.ITEM.SUBMENU = d.ITEM.Subclass({
    739. 

  739. menu: null,
    740. 

  740. marker: u && !e.Browser.isSafari ? "\u25b6" : "\u25b8",
    741. 

  741. Init: function(e, t) {
    742. 

  742. this.name = e;
    743. 

  743. var n = 1;
    744. 

  744. t instanceof d.ITEM || (this.With(t), n++), this.menu = d.apply(d, [].slice.call(arguments, n));
    745. 

  745. },
    746. 

  746. Label: function(e, t) {
    747. 

  747. return this.menu.posted = !1, [ this.name + " ", [ "span", {
    748. 

  748. className: "MathJax_MenuArrow"
    749. 

  749. }, [ this.marker ] ] ];
    750. 

  750. },
    751. 

  751. Timer: function(e, t) {
    752. 

  752. this.timer && clearTimeout(this.timer), e = {
    753. 

  753. clientX: e.clientX,
    754. 

  754. clientY: e.clientY
    755. 

  755. }, this.timer = setTimeout(r([ "Mouseup", this, e, t ]), c.delay);
    756. 

  756. },
    757. 

  757. Touchend: function(e, t) {
    758. 

  758. var n = this.menu.posted, r = this.SUPER(arguments).Touchend.apply(this, arguments);
    759. 

  759. return n && (this.Deactivate(t), delete v.lastItem, delete v.lastMenu), r;
    760. 

  760. },
    761. 

  761. Mouseup: function(e, t) {
    762. 

  762. if (!this.disabled) if (!this.menu.posted) this.timer && (clearTimeout(this.timer), delete this.timer), this.menu.Post(e, t); else {
    763. 

  763. var n = document.getElementById("MathJax_MenuFrame").childNodes, r = n.length - 1;
    764. 

  764. while (r >= 0) {
    765. 

  765. var i = n[r];
    766. 

  766. i.menuItem.posted = !1, i.parentNode.removeChild(i);
    767. 

  767. if (i.menuItem === this.menu) break;
    768. 

  768. r--;
    769. 

  769. }
    770. 

  770. }
    771. 

  771. return h(e);
    772. 

  772. }
    773. 

  773. }), d.ITEM.RADIO = d.ITEM.Subclass({
    774. 

  774. variable: null,
    775. 

  775. marker: u ? "\u25cf" : "\u2713",
    776. 

  776. Init: function(e, t, n) {
    777. 

  777. this.name = e, this.variable = t, this.With(n), this.value == null && (this.value = this.name);
    778. 

  778. },
    779. 

  779. Label: function(e, t) {
    780. 

  780. var n = {
    781. 

  781. className: "MathJax_MenuRadioCheck"
    782. 

  782. };
    783. 

  783. return c.settings[this.variable] !== this.value && (n = {
    784. 

  784. style: {
    785. 

  785. display: "none"
    786. 

  786. }
    787. 

  787. }), [ [ "span", n, [ this.marker ] ], " " + this.name ];
    788. 

  788. },
    789. 

  789. Mouseup: function(e, t) {
    790. 

  790. if (!this.disabled) {
    791. 

  791. var n = t.parentNode.childNodes;
    792. 

  792. for (var r = 0, i = n.length; r < i; r++) {
    793. 

  793. var s = n[r].menuItem;
    794. 

  794. s && s.variable === this.variable && (n[r].firstChild.style.display = "none");
    795. 

  795. }
    796. 

  796. t.firstChild.display = "", c.settings[this.variable] = this.value, d.cookie[this.variable] = c.settings[this.variable], d.saveCookie(), o.Post([ "radio button", this ]);
    797. 

  797. }
    798. 

  798. return this.Remove(e, t), this.action && !this.disabled && this.action.call(d, this), h(e);
    799. 

  799. }
    800. 

  800. }), d.ITEM.CHECKBOX = d.ITEM.Subclass({
    801. 

  801. variable: null,
    802. 

  802. marker: "\u2713",
    803. 

  803. Init: function(e, t, n) {
    804. 

  804. this.name = e, this.variable = t, this.With(n);
    805. 

  805. },
    806. 

  806. Label: function(e, t) {
    807. 

  807. var n = {
    808. 

  808. className: "MathJax_MenuCheck"
    809. 

  809. };
    810. 

  810. return c.settings[this.variable] || (n = {
    811. 

  811. style: {
    812. 

  812. display: "none"
    813. 

  813. }
    814. 

  814. }), [ [ "span", n, [ this.marker ] ], " " + this.name ];
    815. 

  815. },
    816. 

  816. Mouseup: function(e, t) {
    817. 

  817. return this.disabled || (t.firstChild.display = c.settings[this.variable] ? "none" : "", c.settings[this.variable] = !c.settings[this.variable], d.cookie[this.variable] = c.settings[this.variable], d.saveCookie(), o.Post([ "checkbox", this ])), this.Remove(e, t), this.action && !this.disabled && this.action.call(d, this), h(e);
    818. 

  818. }
    819. 

  819. }), d.ITEM.LABEL = d.ITEM.Subclass({
    820. 

  820. Init: function(e, t) {
    821. 

  821. this.name = e, this.With(t);
    822. 

  822. },
    823. 

  823. Label: function(e, t) {
    824. 

  824. return delete e.onmouseover, delete e.onmouseout, delete e.onmousedown, e.className += " MathJax_MenuLabel", [ this.name ];
    825. 

  825. }
    826. 

  826. }), d.ITEM.RULE = d.ITEM.Subclass({
    827. 

  827. Label: function(e, t) {
    828. 

  828. return delete e.onmouseover, delete e.onmouseout, delete e.onmousedown, e.className += " MathJax_MenuRule", null;
    829. 

  829. }
    830. 

  830. }), d.About = function() {
    831. 

  831. var n = i["HTML-CSS"] || {
    832. 

  832. fontInUse: ""
    833. 

  833. }, r = n.webFonts ? "" : "local ", s = n.webFonts ? " web" : "", o = (n.imgFonts ? "Image" : r + n.fontInUse + s) + " fonts";
    834. 

  834. o === "local  fonts" && i.SVG && (o = "web SVG fonts");
    835. 

  835. var u = [ "MathJax.js v" + MathJax.fileversion, [ "br" ] ];
    836. 

  836. u.push([ "div", {
    837. 

  837. style: {
    838. 

  838. "border-top": "groove 2px",
    839. 

  839. margin: ".25em 0"
    840. 

  840. }
    841. 

  841. } ]), d.About.GetJax(u, MathJax.InputJax, "Input Jax"), d.About.GetJax(u, MathJax.OutputJax, "Output Jax"), d.About.GetJax(u, MathJax.ElementJax, "Element Jax"), u.push([ "div", {
    842. 

  842. style: {
    843. 

  843. "border-top": "groove 2px",
    844. 

  844. margin: ".25em 0"
    845. 

  845. }
    846. 

  846. } ]), d.About.GetJax(u, MathJax.Extension, "Extension", !0), u.push([ "div", {
    847. 

  847. style: {
    848. 

  848. "border-top": "groove 2px",
    849. 

  849. margin: ".25em 0"
    850. 

  850. }
    851. 

  851. } ], [ "center", {}, [ e.Browser + " v" + e.Browser.version + (n.webFonts && !n.imgFonts ? " \u2014 " + n.allowWebFonts.replace(/otf/, "woff or otf") + " fonts" : "") ] ]), d.About.div = d.Background(d.About);
    852. 

  852. var a = t.addElement(d.About.div, "div", {
    853. 

  853. id: "MathJax_About"
    854. 

  854. }, [ [ "b", {
    855. 

  855. style: {
    856. 

  856. fontSize: "120%"
    857. 

  857. }
    858. 

  858. }, [ "MathJax" ] ], " v" + MathJax.version, [ "br" ], "using " + o, [ "br" ], [ "br" ], [ "span", {
    859. 

  859. style: {
    860. 

  860. display: "inline-block",
    861. 

  861. "text-align": "left",
    862. 

  862. "font-size": "80%",
    863. 

  863. "max-height": "20em",
    864. 

  864. overflow: "auto",
    865. 

  865. "background-color": "#E4E4E4",
    866. 

  866. padding: ".4em .6em",
    867. 

  867. border: "1px inset"
    868. 

  868. }
    869. 

  869. }, u ], [ "br" ], [ "br" ], [ "a", {
    870. 

  870. href: "http://www.mathjax.org/"
    871. 

  871. }, [ "www.mathjax.org" ] ], [ "img", {
    872. 

  872. src: c.closeImg,
    873. 

  873. style: {
    874. 

  874. width: "21px",
    875. 

  875. height: "21px",
    876. 

  876. position: "absolute",
    877. 

  877. top: ".2em",
    878. 

  878. right: ".2em"
    879. 

  879. },
    880. 

  880. onclick: d.About.Remove
    881. 

  881. } ] ]), f = document.documentElement || {}, l = window.innerHeight || f.clientHeight || f.scrollHeight || 0;
    882. 

  882. d.prototype.msieAboutBug ? (a.style.width = "20em", a.style.position = "absolute", a.style.left = Math.floor((document.documentElement.scrollWidth - a.offsetWidth) / 2) + "px", a.style.top = Math.floor((l - a.offsetHeight) / 3) + document.body.scrollTop + "px") : (a.style.marginLeft = Math.floor(-a.offsetWidth / 2) + "px", a.style.top = Math.floor((l - a.offsetHeight) / 3) + "px");
    883. 

  883. }, d.About.Remove = function(e) {
    884. 

  884. d.About.div && (document.body.removeChild(d.About.div), delete d.About.div);
    885. 

  885. }, d.About.GetJax = function(e, t, n, r) {
    886. 

  886. var i = [];
    887. 

  887. for (var s in t) t.hasOwnProperty(s) && t[s] && (r && t[s].version || t[s].isa && t[s].isa(t)) && i.push((t[s].id || s) + " " + n + " v" + t[s].version);
    888. 

  888. i.sort();
    889. 

  889. for (var o = 0, u = i.length; o < u; o++) e.push(i[o], [ "br" ]);
    890. 

  890. return e;
    891. 

  891. }, d.Help = function() {
    892. 

  892. window.open(c.helpURL, "MathJaxHelp");
    893. 

  893. }, d.ShowSource = function(e) {
    894. 

  894. e || (e = window.event);
    895. 

  895. var t = {
    896. 

  896. screenX: e.screenX,
    897. 

  897. screenY: e.screenY
    898. 

  898. };
    899. 

  899. if (!d.jax) return;
    900. 

  900. if (this.format === "MathML") {
    901. 

  901. var i = MathJax.ElementJax.mml;
    902. 

  902. if (i && typeof i.mbase.prototype.toMathML != "undefined") try {
    903. 

  903. d.ShowSource.Text(d.jax.root.toMathML(), e);
    904. 

  904. } catch (s) {
    905. 

  905. if (!s.restart) throw s;
    906. 

  906. r.After([ this, d.ShowSource, t ], s.restart);
    907. 

  907. } else if (!n.loadingToMathML) {
    908. 

  908. n.loadingToMathML = !0, d.ShowSource.Window(e), r.Queue(n.Require("[MathJax]/extensions/toMathML.js"), function() {
    909. 

  909. delete n.loadingToMathML, i.mbase.prototype.toMathML || (i.mbase.prototype.toMathML = function() {});
    910. 

  910. }, [ this, d.ShowSource, t ]);
    911. 

  911. return;
    912. 

  912. }
    913. 

  913. } else {
    914. 

  914. if (d.jax.originalText == null) {
    915. 

  915. alert("No original form available");
    916. 

  916. return;
    917. 

  917. }
    918. 

  918. d.ShowSource.Text(d.jax.originalText, e);
    919. 

  919. }
    920. 

  920. }, d.ShowSource.Window = function(e) {
    921. 

  921. if (!d.ShowSource.w) {
    922. 

  922. var t = [], n = c.windowSettings;
    923. 

  923. for (var r in n) n.hasOwnProperty(r) && t.push(r + "=" + n[r]);
    924. 

  924. d.ShowSource.w = window.open("", "_blank", t.join(","));
    925. 

  925. }
    926. 

  926. return d.ShowSource.w;
    927. 

  927. }, d.ShowSource.Text = function(e, t) {
    928. 

  928. var n = d.ShowSource.Window(t);
    929. 

  929. delete d.ShowSource.w, e = e.replace(/^\s*/, "").replace(/\s*$/, ""), e = e.replace(/&/g, "&amp;").replace(/</g, "&lt;").replace(/>/g, "&gt;");
    930. 

  930. if (d.isMobile) n.document.open(), n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>"), n.document.write("<pre>" + e + "</pre>"), n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />"), n.document.write("</body></html>"), n.document.close(); else {
    931. 

  931. n.document.open(), n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>"), n.document.write("<table><tr><td><pre>" + e + "</pre></td></tr></table>"), n.document.write("</body></html>"), n.document.close();
    932. 

  932. var r = n.document.body.firstChild;
    933. 

  933. setTimeout(function() {
    934. 

  934. var e = n.outerHeight - n.innerHeight || 30, i = n.outerWidth - n.innerWidth || 30, s, o;
    935. 

  935. i = Math.max(100, Math.min(Math.floor(.5 * screen.width), r.offsetWidth + i + 25)), e = Math.max(40, Math.min(Math.floor(.5 * screen.height), r.offsetHeight + e + 25)), n.resizeTo(i, e), t && t.screenX != null && (s = Math.max(0, Math.min(t.screenX - Math.floor(i / 2), screen.width - i - 20)), o = Math.max(0, Math.min(t.screenY - Math.floor(e / 2), screen.height - e - 20)), n.moveTo(s, o));
    936. 

  936. }, 50);
    937. 

  937. }
    938. 

  938. }, d.Scale = function() {
    939. 

  939. var t = i["HTML-CSS"], n = i.NativeMML, r = i.SVG, s = (t || n || r || {
    940. 

  940. config: {
    941. 

  941. scale: 100
    942. 

  942. }
    943. 

  943. }).config.scale, o = prompt("Scale all mathematics (compared to surrounding text) by", s + "%");
    944. 

  944. o && (o.match(/^\s*\d+(\.\d*)?\s*%?\s*$/) ? (o = parseFloat(o), o ? o !== s && (t && (t.config.scale = o), n && (n.config.scale = o), r && (r.config.scale = o), d.cookie.scale = o, d.saveCookie(), e.Reprocess()) : alert("The scale should not be zero")) : alert("The scale should be a percentage (e.g., 120%)"));
    945. 

  945. }, d.Zoom = function() {
    946. 

  946. MathJax.Extension.MathZoom || n.Require("[MathJax]/extensions/MathZoom.js");
    947. 

  947. }, d.Renderer = function() {
    948. 

  948. var t = e.outputJax["jax/mml"];
    949. 

  949. if (t[0] !== c.settings.renderer) {
    950. 

  950. var n = e.Browser, r, i = d.Renderer.Messages, s;
    951. 

  951. switch (c.settings.renderer) {
    952. 

  952. case "NativeMML":
    953. 

  953. c.settings.warnedMML || (n.isChrome || n.isSafari && !n.versionAtLeast("5.0") ? r = i.MML.WebKit : n.isMSIE ? n.hasMathPlayer || (r = i.MML.MSIE) : r = i.MML[n], s = "warnedMML");
    954. 

  954. break;
    955. 

  955. case "SVG":
    956. 

  956. c.settings.warnedSVG || n.isMSIE && !f && (r = i.SVG.MSIE);
    957. 

  957. }
    958. 

  958. if (r) {
    959. 

  959. r += "\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)", d.cookie.renderer = t[0].id, d.saveCookie();
    960. 

  960. if (!confirm(r)) return;
    961. 

  961. s && (d.cookie[s] = c.settings[s] = !0), d.cookie.renderer = c.settings.renderer, d.saveCookie();
    962. 

  962. }
    963. 

  963. e.Queue([ "setRenderer", e, c.settings.renderer, "jax/mml" ], [ "Rerender", e ]);
    964. 

  964. }
    965. 

  965. }, d.Renderer.Messages = {
    966. 

  966. MML: {
    967. 

  967. WebKit: "Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",
    968. 

  968. MSIE: "Internet Explorer requires the MathPlayer plugin in order to process MathML output.",
    969. 

  969. Opera: "Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",
    970. 

  970. Safari: "Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",
    971. 

  971. Firefox: "Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."
    972. 

  972. },
    973. 

  973. SVG: {
    974. 

  974. MSIE: "SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."
    975. 

  975. }
    976. 

  976. }, d.Font = function() {
    977. 

  977. var e = i["HTML-CSS"];
    978. 

  978. if (!e) return;
    979. 

  979. document.location.reload();
    980. 

  980. }, d.MPEvents = function(e) {
    981. 

  981. var t = c.settings.discoverable, n = d.MPEvents.Messages;
    982. 

  982. if (!f) {
    983. 

  983. if (c.settings.mpMouse && !confirm(n.IE8warning)) {
    984. 

  984. delete d.cookie.mpContext, delete c.settings.mpContext, delete d.cookie.mpMouse, delete c.settings.mpMouse, d.saveCookie();
    985. 

  985. return;
    986. 

  986. }
    987. 

  987. c.settings.mpContext = c.settings.mpMouse, d.cookie.mpContext = d.cookie.mpMouse = c.settings.mpMouse, d.saveCookie(), MathJax.Hub.Queue([ "Rerender", MathJax.Hub ]);
    988. 

  988. } else !t && e.name === "Menu Events" && c.settings.mpContext && alert(n.IE9warning);
    989. 

  989. }, d.MPEvents.Messages = {
    990. 

  990. IE8warning: "This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",
    991. 

  991. IE9warning: "The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."
    992. 

  992. }, e.Browser.Select({
    993. 

  993. MSIE: function(e) {
    994. 

  994. var t = document.compatMode === "BackCompat", n = e.versionAtLeast("8.0") && document.documentMode > 7;
    995. 

  995. d.Augment({
    996. 

  996. margin: 20,
    997. 

  997. msieBackgroundBug: document.documentMode < 9,
    998. 

  998. msieFixedPositionBug: t || !n,
    999. 

  999. msieAboutBug: t
    1000. 

  1000. }), f && (delete c.styles["#MathJax_About"].filter, delete c.styles[".MathJax_Menu"].filter);
    1001. 

  1001. },
    1002. 

  1002. Firefox: function(e) {
    1003. 

  1003. d.skipMouseover = e.isMobile && e.versionAtLeast("6.0"), d.skipMousedown = e.isMobile;
    1004. 

  1004. }
    1005. 

  1005. }), d.isMobile = e.Browser.isMobile, d.noContextMenu = e.Browser.noContextMenu, e.Register.StartupHook("End Config", function() {
    1006. 

  1006. c.settings = e.config.menuSettings, typeof c.settings.showRenderer != "undefined" && (c.showRenderer = c.settings.showRenderer), typeof c.settings.showFontMenu != "undefined" && (c.showFontMenu = c.settings.showFontMenu), typeof c.settings.showContext != "undefined" && (c.showContext = c.settings.showContext), d.getCookie(), d.menu = d(v.SUBMENU("Show Math As", v.COMMAND("MathML Code", d.ShowSource, {
    1007. 

  1007. nativeTouch: !0,
    1008. 

  1008. format: "MathML"
    1009. 

  1009. }), v.COMMAND("Original Form", d.ShowSource, {
    1010. 

  1010. nativeTouch: !0
    1011. 

  1011. }), v.RULE(), v.CHECKBOX("Show TeX hints in MathML", "texHints")), v.RULE(), v.SUBMENU("Math Settings", v.SUBMENU("Zoom Trigger", v.RADIO("Hover", "zoom", {
    1012. 

  1012. action: d.Zoom
    1013. 

  1013. }), v.RADIO("Click", "zoom", {
    1014. 

  1014. action: d.Zoom
    1015. 

  1015. }), v.RADIO("Double-Click", "zoom", {
    1016. 

  1016. action: d.Zoom
    1017. 

  1017. }), v.RADIO("No Zoom", "zoom", {
    1018. 

  1018. value: "None"
    1019. 

  1019. }), v.RULE(), v.LABEL("Trigger Requires:"), v.CHECKBOX(e.Browser.isMac ? "Option" : "Alt", "ALT"), v.CHECKBOX("Command", "CMD", {
    1020. 

  1020. hidden: !e.Browser.isMac
    1021. 

  1021. }), v.CHECKBOX("Control", "CTRL", {
    1022. 

  1022. hidden: e.Browser.isMac
    1023. 

  1023. }), v.CHECKBOX("Shift", "Shift")), v.SUBMENU("Zoom Factor", v.RADIO("125%", "zscale"), v.RADIO("133%", "zscale"), v.RADIO("150%", "zscale"), v.RADIO("175%", "zscale"), v.RADIO("200%", "zscale"), v.RADIO("250%", "zscale"), v.RADIO("300%", "zscale"), v.RADIO("400%", "zscale")), v.RULE(), v.SUBMENU("Math Renderer", {
    1024. 

  1024. hidden: !c.showRenderer
    1025. 

  1025. }, v.RADIO("HTML-CSS", "renderer", {
    1026. 

  1026. action: d.Renderer
    1027. 

  1027. }), v.RADIO("MathML", "renderer", {
    1028. 

  1028. action: d.Renderer,
    1029. 

  1029. value: "NativeMML"
    1030. 

  1030. }), v.RADIO("SVG", "renderer", {
    1031. 

  1031. action: d.Renderer
    1032. 

  1032. })), v.SUBMENU("MathPlayer", {
    1033. 

  1033. hidden: !e.Browser.isMSIE || !c.showMathPlayer,
    1034. 

  1034. disabled: !e.Browser.hasMathPlayer
    1035. 

  1035. }, v.LABEL("Let MathPlayer Handle:"), v.CHECKBOX("Menu Events", "mpContext", {
    1036. 

  1036. action: d.MPEvents,
    1037. 

  1037. hidden: !f
    1038. 

  1038. }), v.CHECKBOX("Mouse Events", "mpMouse", {
    1039. 

  1039. action: d.MPEvents,
    1040. 

  1040. hidden: !f
    1041. 

  1041. }), v.CHECKBOX("Mouse and Menu Events", "mpMouse", {
    1042. 

  1042. action: d.MPEvents,
    1043. 

  1043. hidden: f
    1044. 

  1044. })), v.SUBMENU("Font Preference", {
    1045. 

  1045. hidden: !c.showFontMenu
    1046. 

  1046. }, v.LABEL("For HTML-CSS:"), v.RADIO("Auto", "font", {
    1047. 

  1047. action: d.Font
    1048. 

  1048. }), v.RULE(), v.RADIO("TeX (local)", "font", {
    1049. 

  1049. action: d.Font
    1050. 

  1050. }), v.RADIO("TeX (web)", "font", {
    1051. 

  1051. action: d.Font
    1052. 

  1052. }), v.RADIO("TeX (image)", "font", {
    1053. 

  1053. action: d.Font
    1054. 

  1054. }), v.RULE(), v.RADIO("STIX (local)", "font", {
    1055. 

  1055. action: d.Font
    1056. 

  1056. })), v.SUBMENU("Contextual Menu", {
    1057. 

  1057. hidden: !c.showContext
    1058. 

  1058. }, v.RADIO("MathJax", "context"), v.RADIO("Browser", "context")), v.COMMAND("Scale All Math ...", d.Scale), v.RULE().With({
    1059. 

  1059. hidden: !c.showDiscoverable,
    1060. 

  1060. name: "discover_rule"
    1061. 

  1061. }), v.CHECKBOX("Highlight on Hover", "discoverable", {
    1062. 

  1062. hidden: !c.showDiscoverable
    1063. 

  1063. })), v.RULE(), v.COMMAND("About MathJax", d.About), v.COMMAND("MathJax Help", d.Help)), d.isMobile && function() {
    1064. 

  1064. var e = c.settings, t = d.menu.Find("Math Settings", "Zoom Trigger").menu;
    1065. 

  1065. t.items[0].disabled = t.items[1].disabled = !0;
    1066. 

  1066. if (e.zoom === "Hover" || e.zoom == "Click") e.zoom = "None";
    1067. 

  1067. t.items = t.items.slice(0, 4), navigator.appVersion.match(/[ (]Android[) ]/) && d.ITEM.SUBMENU.Augment({
    1068. 

  1068. marker: "\u00bb"
    1069. 

  1069. });
    1070. 

  1070. }();
    1071. 

  1071. }), d.showRenderer = function(e) {
    1072. 

  1072. d.cookie.showRenderer = c.showRenderer = e, d.saveCookie(), d.menu.Find("Math Settings", "Math Renderer").hidden = !e;
    1073. 

  1073. }, d.showMathPlayer = function(e) {
    1074. 

  1074. d.cookie.showMathPlayer = c.showMathPlayer = e, d.saveCookie(), d.menu.Find("Math Settings", "MathPlayer").hidden = !e;
    1075. 

  1075. }, d.showFontMenu = function(e) {
    1076. 

  1076. d.cookie.showFontMenu = c.showFontMenu = e, d.saveCookie(), d.menu.Find("Math Settings", "Font Preference").hidden = !e;
    1077. 

  1077. }, d.showContext = function(e) {
    1078. 

  1078. d.cookie.showContext = c.showContext = e, d.saveCookie(), d.menu.Find("Math Settings", "Contextual Menu").hidden = !e;
    1079. 

  1079. }, d.showDiscoverable = function(e) {
    1080. 

  1080. d.cookie.showContext = c.showContext = e, d.saveCookie(), d.menu.Find("Math Settings", "Highlight on Hover").hidden = !e, d.menu.Find("Math Settings", "discover_rule").hidden = !e;
    1081. 

  1081. }, MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready", function() {
    1082. 

  1082. MathJax.OutputJax["HTML-CSS"].config.imageFont || (d.menu.Find("Math Settings", "Font Preference", "TeX (image)").disabled = !0);
    1083. 

  1083. }), r.Queue(e.Register.StartupHook("End Config", {}), [ "getImages", d ], [ "Styles", n, c.styles ], [ "Post", e.Startup.signal, "MathMenu Ready" ], [ "loadComplete", n, "[MathJax]/extensions/MathMenu.js" ]);
    1084. 

  1084. }(MathJax.Hub, MathJax.HTML, MathJax.Ajax, MathJax.CallBack, MathJax.OutputJax), function(e, t, n, r, i) {
    1085. 

  1085. var s = "2.1", o = e.CombineConfig("MathZoom", {
    1086. 

  1086. styles: {
    1087. 

  1087. "#MathJax_Zoom": {
    1088. 

  1088. position: "absolute",
    1089. 

  1089. "background-color": "#F0F0F0",
    1090. 

  1090. overflow: "auto",
    1091. 

  1091. display: "block",
    1092. 

  1092. "z-index": 301,
    1093. 

  1093. padding: ".5em",
    1094. 

  1094. border: "1px solid black",
    1095. 

  1095. margin: 0,
    1096. 

  1096. "font-weight": "normal",
    1097. 

  1097. "font-style": "normal",
    1098. 

  1098. "text-align": "left",
    1099. 

  1099. "text-indent": 0,
    1100. 

  1100. "text-transform": "none",
    1101. 

  1101. "line-height": "normal",
    1102. 

  1102. "letter-spacing": "normal",
    1103. 

  1103. "word-spacing": "normal",
    1104. 

  1104. "word-wrap": "normal",
    1105. 

  1105. "white-space": "nowrap",
    1106. 

  1106. "float": "none",
    1107. 

  1107. "box-shadow": "5px 5px 15px #AAAAAA",
    1108. 

  1108. "-webkit-box-shadow": "5px 5px 15px #AAAAAA",
    1109. 

  1109. "-moz-box-shadow": "5px 5px 15px #AAAAAA",
    1110. 

  1110. "-khtml-box-shadow": "5px 5px 15px #AAAAAA",
    1111. 

  1111. filter: "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"
    1112. 

  1112. },
    1113. 

  1113. "#MathJax_ZoomOverlay": {
    1114. 

  1114. position: "absolute",
    1115. 

  1115. left: 0,
    1116. 

  1116. top: 0,
    1117. 

  1117. "z-index": 300,
    1118. 

  1118. display: "inline-block",
    1119. 

  1119. width: "100%",
    1120. 

  1120. height: "100%",
    1121. 

  1121. border: 0,
    1122. 

  1122. padding: 0,
    1123. 

  1123. margin: 0,
    1124. 

  1124. "background-color": "white",
    1125. 

  1125. opacity: 0,
    1126. 

  1126. filter: "alpha(opacity=0)"
    1127. 

  1127. },
    1128. 

  1128. "#MathJax_ZoomEventTrap": {
    1129. 

  1129. position: "absolute",
    1130. 

  1130. left: 0,
    1131. 

  1131. top: 0,
    1132. 

  1132. "z-index": 302,
    1133. 

  1133. display: "inline-block",
    1134. 

  1134. border: 0,
    1135. 

  1135. padding: 0,
    1136. 

  1136. margin: 0,
    1137. 

  1137. "background-color": "white",
    1138. 

  1138. opacity: 0,
    1139. 

  1139. filter: "alpha(opacity=0)"
    1140. 

  1140. }
    1141. 

  1141. }
    1142. 

  1142. }), u, a, f;
    1143. 

  1143. MathJax.Hub.Register.StartupHook("MathEvents Ready", function() {
    1144. 

  1144. f = MathJax.Extension.MathEvents.Event, u = MathJax.Extension.MathEvents.Event.False, a = MathJax.Extension.MathEvents.Hover;
    1145. 

  1145. });
    1146. 

  1146. var l = MathJax.Extension.MathZoom = {
    1147. 

  1147. version: s,
    1148. 

  1148. settings: e.config.menuSettings,
    1149. 

  1149. scrollSize: 18,
    1150. 

  1150. HandleEvent: function(e, t, n) {
    1151. 

  1151. return l.settings.CTRL && !e.ctrlKey ? !0 : l.settings.ALT && !e.altKey ? !0 : l.settings.CMD && !e.metaKey ? !0 : l.settings.Shift && !e.shiftKey ? !0 : l[t] ? l[t](e, n) : !0;
    1152. 

  1152. },
    1153. 

  1153. Click: function(e, t) {
    1154. 

  1154. if (this.settings.zoom === "Click") return this.Zoom(e, t);
    1155. 

  1155. },
    1156. 

  1156. DblClick: function(e, t) {
    1157. 

  1157. if (this.settings.zoom === "Double-Click") return this.Zoom(e, t);
    1158. 

  1158. },
    1159. 

  1159. Hover: function(e, t) {
    1160. 

  1160. return this.settings.zoom === "Hover" ? (this.Zoom(e, t), !0) : !1;
    1161. 

  1161. },
    1162. 

  1162. Zoom: function(n, r) {
    1163. 

  1163. this.Remove(), a.ClearHoverTimer(), f.ClearSelection();
    1164. 

  1164. var i = MathJax.OutputJax[r.jaxID], s = i.getJaxFromMath(r);
    1165. 

  1165. s.hover && a.UnHover(s);
    1166. 

  1166. var l = Math.floor(.85 * document.body.clientWidth), c = Math.floor(.85 * Math.max(document.body.clientHeight, document.documentElement.clientHeight)), h = t.Element("span", {
    1167. 

  1167. style: {
    1168. 

  1168. position: "relative",
    1169. 

  1169. display: "inline-block",
    1170. 

  1170. height: 0,
    1171. 

  1171. width: 0
    1172. 

  1172. },
    1173. 

  1173. id: "MathJax_ZoomFrame"
    1174. 

  1174. }, [ [ "span", {
    1175. 

  1175. id: "MathJax_ZoomOverlay",
    1176. 

  1176. onmousedown: this.Remove
    1177. 

  1177. } ], [ "span", {
    1178. 

  1178. id: "MathJax_Zoom",
    1179. 

  1179. onclick: this.Remove,
    1180. 

  1180. style: {
    1181. 

  1181. visibility: "hidden",
    1182. 

  1182. fontSize: this.settings.zscale,
    1183. 

  1183. "max-width": l + "px",
    1184. 

  1184. "max-height": c + "px"
    1185. 

  1185. }
    1186. 

  1186. }, [ [ "span", {
    1187. 

  1187. style: {
    1188. 

  1188. display: "inline-block",
    1189. 

  1189. "white-space": "nowrap"
    1190. 

  1190. }
    1191. 

  1191. } ] ] ] ]), p = h.lastChild, v = p.firstChild, m = h.firstChild;
    1192. 

  1192. r.parentNode.insertBefore(h, r), r.parentNode.insertBefore(r, h), v.addEventListener && v.addEventListener("mousedown", this.Remove, !0);
    1193. 

  1193. if (this.msieTrapEventBug) {
    1194. 

  1194. var y = t.Element("span", {
    1195. 

  1195. id: "MathJax_ZoomEventTrap",
    1196. 

  1196. onmousedown: this.Remove
    1197. 

  1197. });
    1198. 

  1198. h.insertBefore(y, p);
    1199. 

  1199. }
    1200. 

  1200. if (this.msieZIndexBug) {
    1201. 

  1201. var w = t.addElement(document.body, "img", {
    1202. 

  1202. src: "about:blank",
    1203. 

  1203. id: "MathJax_ZoomTracker",
    1204. 

  1204. width: 0,
    1205. 

  1205. height: 0,
    1206. 

  1206. style: {
    1207. 

  1207. width: 0,
    1208. 

  1208. height: 0,
    1209. 

  1209. position: "relative"
    1210. 

  1210. }
    1211. 

  1211. });
    1212. 

  1212. h.style.position = "relative", h.style.zIndex = o.styles["#MathJax_ZoomOverlay"]["z-index"], h = w;
    1213. 

  1213. }
    1214. 

  1214. var E = i.Zoom(s, v, r, l, c);
    1215. 

  1215. return this.msiePositionBug && (this.msieSizeBug && (p.style.height = E.zH + "px", p.style.width = E.zW + "px"), p.offsetHeight > c && (p.style.height = c + "px", p.style.width = E.zW + this.scrollSize + "px"), p.offsetWidth > l && (p.style.width = l + "px", p.style.height = E.zH + this.scrollSize + "px")), this.operaPositionBug && (p.style.width = Math.min(l, E.zW) + "px"), p.offsetWidth < l && p.offsetHeight < c && (p.style.overflow = "visible"), this.Position(p, E), this.msieTrapEventBug && (y.style.height = p.clientHeight + "px", y.style.width = p.clientWidth + "px", y.style.left = parseFloat(p.style.left) + p.clientLeft + "px", y.style.top = parseFloat(p.style.top) + p.clientTop + "px"), p.style.visibility = "", this.settings.zoom === "Hover" && (m.onmouseover = this.Remove), window.addEventListener ? addEventListener("resize", this.Resize, !1) : window.attachEvent ? attachEvent("onresize", this.Resize) : (this.onresize = window.onresize, window.onresize = this.Resize), e.signal.Post([ "math zoomed", s ]), u(n);
    1216. 

  1216. },
    1217. 

  1217. Position: function(e, t) {
    1218. 

  1218. var n = this.Resize(), r = n.x, i = n.y, s = t.mW, o = -s - Math.floor((e.offsetWidth - s) / 2), u = t.Y;
    1219. 

  1219. e.style.left = Math.max(o, 10 - r) + "px", e.style.top = Math.max(u, 10 - i) + "px", l.msiePositionBug || l.SetWH();
    1220. 

  1220. },
    1221. 

  1221. Resize: function(e) {
    1222. 

  1222. l.onresize && l.onresize(e);
    1223. 

  1223. var t = 0, n = 0, r, i = document.getElementById("MathJax_ZoomFrame"), s = document.getElementById("MathJax_ZoomOverlay");
    1224. 

  1224. r = i;
    1225. 

  1225. while (r.offsetParent) t += r.offsetLeft, r = r.offsetParent;
    1226. 

  1226. l.operaPositionBug && (i.style.border = "1px solid"), r = i;
    1227. 

  1227. while (r.offsetParent) n += r.offsetTop, r = r.offsetParent;
    1228. 

  1228. return l.operaPositionBug && (i.style.border = ""), s.style.left = -t + "px", s.style.top = -n + "px", l.msiePositionBug ? setTimeout(l.SetWH, 0) : l.SetWH(), {
    1229. 

  1229. x: t,
    1230. 

  1230. y: n
    1231. 

  1231. };
    1232. 

  1232. },
    1233. 

  1233. SetWH: function() {
    1234. 

  1234. var e = document.getElementById("MathJax_ZoomOverlay");
    1235. 

  1235. e.style.width = e.style.height = "1px";
    1236. 

  1236. var t = document.documentElement || document.body;
    1237. 

  1237. e.style.width = t.scrollWidth + "px", e.style.height = Math.max(t.clientHeight, t.scrollHeight) + "px";
    1238. 

  1238. },
    1239. 

  1239. Remove: function(n) {
    1240. 

  1240. var r = document.getElementById("MathJax_ZoomFrame");
    1241. 

  1241. if (r) {
    1242. 

  1242. var i = MathJax.OutputJax[r.previousSibling.jaxID], s = i.getJaxFromMath(r.previousSibling);
    1243. 

  1243. e.signal.Post([ "math unzoomed", s ]), r.parentNode.removeChild(r), r = document.getElementById("MathJax_ZoomTracker"), r && r.parentNode.removeChild(r);
    1244. 

  1244. if (l.operaRefreshBug) {
    1245. 

  1245. var o = t.addElement(document.body, "div", {
    1246. 

  1246. style: {
    1247. 

  1247. position: "fixed",
    1248. 

  1248. left: 0,
    1249. 

  1249. top: 0,
    1250. 

  1250. width: "100%",
    1251. 

  1251. height: "100%",
    1252. 

  1252. backgroundColor: "white",
    1253. 

  1253. opacity: 0
    1254. 

  1254. },
    1255. 

  1255. id: "MathJax_OperaDiv"
    1256. 

  1256. });
    1257. 

  1257. document.body.removeChild(o);
    1258. 

  1258. }
    1259. 

  1259. window.removeEventListener ? removeEventListener("resize", l.Resize, !1) : window.detachEvent ? detachEvent("onresize", l.Resize) : (window.onresize = l.onresize, delete l.onresize);
    1260. 

  1260. }
    1261. 

  1261. return u(n);
    1262. 

  1262. }
    1263. 

  1263. };
    1264. 

  1264. e.Browser.Select({
    1265. 

  1265. MSIE: function(e) {
    1266. 

  1266. var t = document.documentMode || 0, n = t >= 9;
    1267. 

  1267. l.msiePositionBug = !n, l.msieSizeBug = e.versionAtLeast("7.0") && (!document.documentMode || t === 7 || t === 8), l.msieZIndexBug = t <= 7, l.msieInlineBlockAlignBug = t <= 7, l.msieTrapEventBug = !window.addEventListener, document.compatMode === "BackCompat" && (l.scrollSize = 52), n && delete o.styles["#MathJax_Zoom"].filter;
    1268. 

  1268. },
    1269. 

  1269. Opera: function(e) {
    1270. 

  1270. l.operaPositionBug = !0, l.operaRefreshBug = !0;
    1271. 

  1271. }
    1272. 

  1272. }), l.topImg = l.msieInlineBlockAlignBug ? t.Element("img", {
    1273. 

  1273. style: {
    1274. 

  1274. width: 0,
    1275. 

  1275. height: 0,
    1276. 

  1276. position: "relative"
    1277. 

  1277. },
    1278. 

  1278. src: "about:blank"
    1279. 

  1279. }) : t.Element("span", {
    1280. 

  1280. style: {
    1281. 

  1281. width: 0,
    1282. 

  1282. height: 0,
    1283. 

  1283. display: "inline-block"
    1284. 

  1284. }
    1285. 

  1285. });
    1286. 

  1286. if (l.operaPositionBug || l.msieTopBug) l.topImg.style.border = "1px solid";
    1287. 

  1287. MathJax.Callback.Queue([ "StartupHook", MathJax.Hub.Register, "Begin Styles", {} ], [ "Styles", n, o.styles ], [ "Post", e.Startup.signal, "MathZoom Ready" ], [ "loadComplete", n, "[MathJax]/extensions/MathZoom.js" ]);
    1288. 

  1288. }(MathJax.Hub, MathJax.HTML, MathJax.Ajax, MathJax.OutputJax["HTML-CSS"], MathJax.OutputJax.NativeMML), MathJax.Extension["TeX/AMSmath"] = {
    1289. 

  1289. version: "2.1",
    1290. 

  1290. number: 0,
    1291. 

  1291. startNumber: 0,
    1292. 

  1292. labels: {},
    1293. 

  1293. eqlabels: {},
    1294. 

  1294. refs: []
    1295. 

  1295. }, MathJax.Hub.Register.StartupHook("TeX Jax Ready", function() {
    1296. 

  1296. var e = MathJax.ElementJax.mml, t = MathJax.InputJax.TeX, n = MathJax.Extension["TeX/AMSmath"], r = t.Definitions, i = t.Stack.Item, s = t.config.equationNumbers, o = function(e) {
    1297. 

  1297. var n = [];
    1298. 

  1298. for (var r = 0, i = e.length; r < i; r++) n[r] = t.Parse.prototype.Em(e[r]);
    1299. 

  1299. return n.join(" ");
    1300. 

  1300. };
    1301. 

  1301. r.Add({
    1302. 

  1302. mathchar0mo: {
    1303. 

  1303. iiiint: [ "2A0C", {
    1304. 

  1304. texClass: e.TEXCLASS.OP
    1305. 

  1305. } ]
    1306. 

  1306. },
    1307. 

  1307. macros: {
    1308. 

  1308. mathring: [ "Accent", "2DA" ],
    1309. 

  1309. nobreakspace: "Tilde",
    1310. 

  1310. negmedspace: [ "Spacer", e.LENGTH.NEGATIVEMEDIUMMATHSPACE ],
    1311. 

  1311. negthickspace: [ "Spacer", e.LENGTH.NEGATIVETHICKMATHSPACE ],
    1312. 

  1312. idotsint: [ "MultiIntegral", "\\int\\cdots\\int" ],
    1313. 

  1313. dddot: [ "Accent", "20DB" ],
    1314. 

  1314. ddddot: [ "Accent", "20DC" ],
    1315. 

  1315. sideset: [ "Macro", "\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}", 3 ],
    1316. 

  1316. boxed: [ "Macro", "\\fbox{$\\displaystyle{#1}$}", 1 ],
    1317. 

  1317. tag: "HandleTag",
    1318. 

  1318. notag: "HandleNoTag",
    1319. 

  1319. label: "HandleLabel",
    1320. 

  1320. ref: "HandleRef",
    1321. 

  1321. eqref: [ "HandleRef", !0 ],
    1322. 

  1322. substack: [ "Macro", "\\begin{subarray}{c}#1\\end{subarray}", 1 ],
    1323. 

  1323. injlim: [ "NamedOp", "inj&thinsp;lim" ],
    1324. 

  1324. projlim: [ "NamedOp", "proj&thinsp;lim" ],
    1325. 

  1325. varliminf: [ "Macro", "\\mathop{\\underline{\\mmlToken{mi}{lim}}}" ],
    1326. 

  1326. varlimsup: [ "Macro", "\\mathop{\\overline{\\mmlToken{mi}{lim}}}" ],
    1327. 

  1327. varinjlim: [ "Macro", "\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}" ],
    1328. 

  1328. varprojlim: [ "Macro", "\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}" ],
    1329. 

  1329. DeclareMathOperator: "HandleDeclareOp",
    1330. 

  1330. operatorname: "HandleOperatorName",
    1331. 

  1331. genfrac: "Genfrac",
    1332. 

  1332. frac: [ "Genfrac", "", "", "", "" ],
    1333. 

  1333. tfrac: [ "Genfrac", "", "", "", 1 ],
    1334. 

  1334. dfrac: [ "Genfrac", "", "", "", 0 ],
    1335. 

  1335. binom: [ "Genfrac", "(", ")", "0em", "" ],
    1336. 

  1336. tbinom: [ "Genfrac", "(", ")", "0em", 1 ],
    1337. 

  1337. dbinom: [ "Genfrac", "(", ")", "0em", 0 ],
    1338. 

  1338. cfrac: "CFrac",
    1339. 

  1339. shoveleft: [ "HandleShove", e.ALIGN.LEFT ],
    1340. 

  1340. shoveright: [ "HandleShove", e.ALIGN.RIGHT ],
    1341. 

  1341. xrightarrow: [ "xArrow", 8594, 5, 6 ],
    1342. 

  1342. xleftarrow: [ "xArrow", 8592, 7, 3 ]
    1343. 

  1343. },
    1344. 

  1344. environment: {
    1345. 

  1345. align: [ "AMSarray", null, !0, !0, "rlrlrlrlrlrl", o([ 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18 ]) ],
    1346. 

  1346. "align*": [ "AMSarray", null, !1, !0, "rlrlrlrlrlrl", o([ 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18 ]) ],
    1347. 

  1347. multline: [ "Multline", null, !0 ],
    1348. 

  1348. "multline*": [ "Multline", null, !1 ],
    1349. 

  1349. split: [ "AMSarray", null, !1, !1, "rl", o([ 5 / 18 ]) ],
    1350. 

  1350. gather: [ "AMSarray", null, !0, !0, "c" ],
    1351. 

  1351. "gather*": [ "AMSarray", null, !1, !0, "c" ],
    1352. 

  1352. alignat: [ "AlignAt", null, !0, !0 ],
    1353. 

  1353. "alignat*": [ "AlignAt", null, !1, !0 ],
    1354. 

  1354. alignedat: [ "AlignAt", null, !1, !1 ],
    1355. 

  1355. aligned: [ "AlignedArray", null, null, null, "rlrlrlrlrlrl", o([ 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18 ]), ".5em", "D" ],
    1356. 

  1356. gathered: [ "AlignedArray", null, null, null, "c", null, ".5em", "D" ],
    1357. 

  1357. subarray: [ "Array", null, null, null, null, o([ 0, 0, 0, 0 ]), "0.1em", "S", 1 ],
    1358. 

  1358. smallmatrix: [ "Array", null, null, null, "c", o([ 1 / 3 ]), ".2em", "S", 1 ],
    1359. 

  1359. equation: [ "EquationBegin", "Equation", !0 ],
    1360. 

  1360. "equation*": [ "EquationBegin", "EquationStar", !1 ],
    1361. 

  1361. eqnarray: [ "AMSarray", null, !0, !0, "rcl", e.LENGTH.THICKMATHSPACE, ".5em" ],
    1362. 

  1362. "eqnarray*": [ "AMSarray", null, !1, !0, "rcl", e.LENGTH.THICKMATHSPACE, ".5em" ]
    1363. 

  1363. },
    1364. 

  1364. delimiter: {
    1365. 

  1365. "\\lvert": [ "2223", {
    1366. 

  1366. texClass: e.TEXCLASS.OPEN
    1367. 

  1367. } ],
    1368. 

  1368. "\\rvert": [ "2223", {
    1369. 

  1369. texClass: e.TEXCLASS.CLOSE
    1370. 

  1370. } ],
    1371. 

  1371. "\\lVert": [ "2225", {
    1372. 

  1372. texClass: e.TEXCLASS.OPEN
    1373. 

  1373. } ],
    1374. 

  1374. "\\rVert": [ "2225", {
    1375. 

  1375. texClass: e.TEXCLASS.CLOSE
    1376. 

  1376. } ]
    1377. 

  1377. }
    1378. 

  1378. }, null, !0), t.Parse.Augment({
    1379. 

  1379. HandleTag: function(n) {
    1380. 

  1380. var r = this.GetStar(), i = this.trimSpaces(this.GetArgument(n)), o = i;
    1381. 

  1381. r || (i = s.formatTag(i));
    1382. 

  1382. var u = this.stack.global;
    1383. 

  1383. u.tagID = o, u.notags && t.Error(n + " not allowed in " + u.notags + " environment"), u.tag && t.Error("Multiple " + n), u.tag = e.mtd.apply(e, this.InternalMath(i)).With({
    1384. 

  1384. id: s.formatID(o)
    1385. 

  1385. });
    1386. 

  1386. },
    1387. 

  1387. HandleNoTag: function(e) {
    1388. 

  1388. this.stack.global.tag && delete this.stack.global.tag, this.stack.global.notag = !0;
    1389. 

  1389. },
    1390. 

  1390. HandleLabel: function(e) {
    1391. 

  1391. var r = this.stack.global, i = this.GetArgument(e);
    1392. 

  1392. if (i === "") return;
    1393. 

  1393. n.refUpdate || (r.label && t.Error("Multiple " + e + "'s"), r.label = i, (n.labels[i] || n.eqlabels[i]) && t.Error("Label '" + i + "' mutiply defined"), n.eqlabels[i] = "???");
    1394. 

  1394. },
    1395. 

  1395. HandleRef: function(t, r) {
    1396. 

  1396. var i = this.GetArgument(t), o = n.labels[i] || n.eqlabels[i];
    1397. 

  1397. o || (o = "??", n.badref = !n.refUpdate);
    1398. 

  1398. var u = o;
    1399. 

  1399. r && (u = s.formatTag(u)), s.useLabelIds && (o = i), this.Push(e.mrow.apply(e, this.InternalMath(u)).With({
    1400. 

  1400. href: s.formatURL(s.formatID(o)),
    1401. 

  1401. "class": "MathJax_ref"
    1402. 

  1402. }));
    1403. 

  1403. },
    1404. 

  1404. HandleDeclareOp: function(e) {
    1405. 

  1405. var n = this.GetStar() ? "\\limits" : "", r = this.trimSpaces(this.GetArgument(e));
    1406. 

  1406. r.charAt(0) == "\\" && (r = r.substr(1));
    1407. 

  1407. var i = this.GetArgument(e);
    1408. 

  1408. i = i.replace(/\*/g, "\\text{*}").replace(/-/g, "\\text{-}"), t.Definitions.macros[r] = [ "Macro", "\\mathop{\\rm " + i + "}" + n ];
    1409. 

  1409. },
    1410. 

  1410. HandleOperatorName: function(e) {
    1411. 

  1411. var t = this.GetStar() ? "\\limits" : "\\nolimits", n = this.trimSpaces(this.GetArgument(e));
    1412. 

  1412. n = n.replace(/\*/g, "\\text{*}").replace(/-/g, "\\text{-}"), this.string = "\\mathop{\\rm " + n + "}" + t + " " + this.string.slice(this.i), this.i = 0;
    1413. 

  1413. },
    1414. 

  1414. HandleShove: function(e, n) {
    1415. 

  1415. var r = this.stack.Top();
    1416. 

  1416. (r.type !== "multline" || r.data.length) && t.Error(e + " must come at the beginning of the line"), r.data.shove = n;
    1417. 

  1417. },
    1418. 

  1418. CFrac: function(n) {
    1419. 

  1419. var r = this.trimSpaces(this.GetBrackets(n, "")), i = this.GetArgument(n), s = this.GetArgument(n), o = e.mfrac(t.Parse("\\strut\\textstyle{" + i + "}", this.stack.env).mml(), t.Parse("\\strut\\textstyle{" + s + "}", this.stack.env).mml());
    1420. 

  1420. r = {
    1421. 

  1421. l: e.ALIGN.LEFT,
    1422. 

  1422. r: e.ALIGN.RIGHT,
    1423. 

  1423. "": ""
    1424. 

  1424. }[r], r == null && t.Error("Illegal alignment specified in " + n), r && (o.numalign = o.denomalign = r), this.Push(o);
    1425. 

  1425. },
    1426. 

  1426. Genfrac: function(n, r, i, s, o) {
    1427. 

  1427. r == null ? r = this.GetDelimiterArg(n) : r = this.convertDelimiter(r), i == null ? i = this.GetDelimiterArg(n) : i = this.convertDelimiter(i), s == null && (s = this.GetArgument(n)), o == null && (o = this.trimSpaces(this.GetArgument(n)));
    1428. 

  1428. var u = this.ParseArg(n), a = this.ParseArg(n), f = e.mfrac(u, a);
    1429. 

  1429. s !== "" && (f.linethickness = s);
    1430. 

  1430. if (r || i) f = e.mfenced(f).With({
    1431. 

  1431. open: r,
    1432. 

  1432. close: i
    1433. 

  1433. });
    1434. 

  1434. if (o !== "") {
    1435. 

  1435. var l = [ "D", "T", "S", "SS" ][o];
    1436. 

  1436. l == null && t.Error("Bad math style for " + n), f = e.mstyle(f), l === "D" ? (f.displaystyle = !0, f.scriptlevel = 0) : (f.displaystyle = !1, f.scriptlevel = o - 1);
    1437. 

  1437. }
    1438. 

  1438. this.Push(f);
    1439. 

  1439. },
    1440. 

  1440. Multline: function(e, n) {
    1441. 

  1441. return this.Push(e), this.checkEqnEnv(), i.multline(n, this.stack).With({
    1442. 

  1442. arraydef: {
    1443. 

  1443. displaystyle: !0,
    1444. 

  1444. rowspacing: ".5em",
    1445. 

  1445. width: t.config.MultLineWidth,
    1446. 

  1446. columnwidth: "100%",
    1447. 

  1447. side: t.config.TagSide,
    1448. 

  1448. minlabelspacing: t.config.TagIndent
    1449. 

  1449. }
    1450. 

  1450. });
    1451. 

  1451. },
    1452. 

  1452. AMSarray: function(e, n, r, s, o) {
    1453. 

  1453. return this.Push(e), r && this.checkEqnEnv(), s = s.replace(/[^clr]/g, "").split("").join(" "), s = s.replace(/l/g, "left").replace(/r/g, "right").replace(/c/g, "center"), i.AMSarray(e.name, n, r, this.stack).With({
    1454. 

  1454. arraydef: {
    1455. 

  1455. displaystyle: !0,
    1456. 

  1456. rowspacing: ".5em",
    1457. 

  1457. columnalign: s,
    1458. 

  1458. columnspacing: o || "1em",
    1459. 

  1459. rowspacing: "3pt",
    1460. 

  1460. side: t.config.TagSide,
    1461. 

  1461. minlabelspacing: t.config.TagIndent
    1462. 

  1462. }
    1463. 

  1463. });
    1464. 

  1464. },
    1465. 

  1465. AlignAt: function(e, n, r) {
    1466. 

  1466. var i, s, o = "", u = [];
    1467. 

  1467. r || (s = this.GetBrackets("\\begin{" + e.name + "}")), i = this.GetArgument("\\begin{" + e.name + "}"), i.match(/[^0-9]/) && t.Error("Argument to \\begin{" + e.name + "} must me a positive integer");
    1468. 

  1468. while (i > 0) o += "rl", u.push("0em 0em"), i--;
    1469. 

  1469. u = u.join(" ");
    1470. 

  1470. if (r) return this.AMSarray(e, n, r, o, u);
    1471. 

  1471. var a = this.Array.call(this, e, null, null, o, u, ".5em", "D");
    1472. 

  1472. return this.setArrayAlign(a, s);
    1473. 

  1473. },
    1474. 

  1474. EquationBegin: function(e, t) {
    1475. 

  1475. return this.checkEqnEnv(), this.stack.global.forcetag = t && s.autoNumber !== "none", e;
    1476. 

  1476. },
    1477. 

  1477. EquationStar: function(e, t) {
    1478. 

  1478. return this.stack.global.tagged = !0, t;
    1479. 

  1479. },
    1480. 

  1480. checkEqnEnv: function() {
    1481. 

  1481. this.stack.global.eqnenv && t.Error("Erroneous nesting of equation structures"), this.stack.global.eqnenv = !0;
    1482. 

  1482. },
    1483. 

  1483. MultiIntegral: function(e, t) {
    1484. 

  1484. var n = this.GetNext();
    1485. 

  1485. if (n === "\\") {
    1486. 

  1486. var r = this.i;
    1487. 

  1487. n = this.GetArgument(e), this.i = r, n === "\\limits" && (e === "\\idotsint" ? t = "\\!\\!\\mathop{\\,\\," + t + "}" : t = "\\!\\!\\!\\mathop{\\,\\,\\," + t + "}");
    1488. 

  1488. }
    1489. 

  1489. this.string = t + " " + this.string.slice(this.i), this.i = 0;
    1490. 

  1490. },
    1491. 

  1491. xArrow: function(n, r, i, s) {
    1492. 

  1492. var o = {
    1493. 

  1493. width: "+" + (i + s) + "mu",
    1494. 

  1494. lspace: i + "mu"
    1495. 

  1495. }, u = this.GetBrackets(n), a = this.ParseArg(n), f = e.mo(e.chars(String.fromCharCode(r))).With({
    1496. 

  1496. stretchy: !0,
    1497. 

  1497. texClass: e.TEXCLASS.REL
    1498. 

  1498. }), l = e.munderover(f);
    1499. 

  1499. l.SetData(l.over, e.mpadded(a).With(o).With({
    1500. 

  1500. voffset: ".15em"
    1501. 

  1501. })), u && (u = t.Parse(u, this.stack.env).mml(), l.SetData(l.under, e.mpadded(u).With(o).With({
    1502. 

  1502. voffset: "-.24em"
    1503. 

  1503. }))), this.Push(l);
    1504. 

  1504. },
    1505. 

  1505. GetDelimiterArg: function(e) {
    1506. 

  1506. var n = this.trimSpaces(this.GetArgument(e));
    1507. 

  1507. return n == "" ? null : (r.delimiter[n] == null && t.Error("Missing or unrecognized delimiter for " + e), this.convertDelimiter(n));
    1508. 

  1508. },
    1509. 

  1509. GetStar: function() {
    1510. 

  1510. var e = this.GetNext() === "*";
    1511. 

  1511. return e && this.i++, e;
    1512. 

  1512. }
    1513. 

  1513. }), i.Augment({
    1514. 

  1514. autoTag: function() {
    1515. 

  1515. var r = this.global;
    1516. 

  1516. if (!r.notag) {
    1517. 

  1517. n.number++, r.tagID = s.formatNumber(n.number.toString());
    1518. 

  1518. var i = t.Parse("\\text{" + s.formatTag(r.tagID) + "}", {}).mml();
    1519. 

  1519. r.tag = e.mtd(i.With({
    1520. 

  1520. id: s.formatID(r.tagID)
    1521. 

  1521. }));
    1522. 

  1522. }
    1523. 

  1523. },
    1524. 

  1524. getTag: function() {
    1525. 

  1525. var e = this.global, t = e.tag;
    1526. 

  1526. return e.tagged = !0, e.label && (n.eqlabels[e.label] = e.tagID, s.useLabelIds && (t.id = s.formatID(e.label))), delete e.tag, delete e.tagID, delete e.label, t;
    1527. 

  1527. }
    1528. 

  1528. }), i.multline = i.array.Subclass({
    1529. 

  1529. type: "multline",
    1530. 

  1530. Init: function(e, t) {
    1531. 

  1531. this.SUPER(arguments).Init.apply(this), this.numbered = e && s.autoNumber !== "none", this.save = {
    1532. 

  1532. notag: t.global.notag
    1533. 

  1533. }, t.global.tagged = !e && !t.global.forcetag;
    1534. 

  1534. },
    1535. 

  1535. EndEntry: function() {
    1536. 

  1536. var t = e.mtd.apply(e, this.data);
    1537. 

  1537. this.data.shove && (t.columnalign = this.data.shove), this.row.push(t), this.data = [];
    1538. 

  1538. },
    1539. 

  1539. EndRow: function() {
    1540. 

  1540. this.row.length != 1 && t.Error("multline rows must have exactly one column"), this.table.push(this.row), this.row = [];
    1541. 

  1541. },
    1542. 

  1542. EndTable: function() {
    1543. 

  1543. this.SUPER(arguments).EndTable.call(this);
    1544. 

  1544. if (this.table.length) {
    1545. 

  1545. var t = this.table.length - 1, n, r = -1;
    1546. 

  1546. this.table[0][0].columnalign || (this.table[0][0].columnalign = e.ALIGN.LEFT), this.table[t][0].columnalign || (this.table[t][0].columnalign = e.ALIGN.RIGHT), !this.global.tag && this.numbered && this.autoTag(), this.global.tag && !this.global.notags && (r = this.arraydef.side === "left" ? 0 : this.table.length - 1, this.table[r] = [ this.getTag() ].concat(this.table[r]));
    1547. 

  1547. for (n = 0, t = this.table.length; n < t; n++) {
    1548. 

  1548. var i = n === r ? e.mlabeledtr : e.mtr;
    1549. 

  1549. this.table[n] = i.apply(e, this.table[n]);
    1550. 

  1550. }
    1551. 

  1551. }
    1552. 

  1552. this.global.notag = this.save.notag;
    1553. 

  1553. }
    1554. 

  1554. }), i.AMSarray = i.array.Subclass({
    1555. 

  1555. type: "AMSarray",
    1556. 

  1556. Init: function(e, t, n, r) {
    1557. 

  1557. this.SUPER(arguments).Init.apply(this), this.numbered = t && s.autoNumber !== "none", this.save = {
    1558. 

  1558. notags: r.global.notags,
    1559. 

  1559. notag: r.global.notag
    1560. 

  1560. }, r.global.notags = n ? null : e, r.global.tagged = !t && !r.global.forcetag;
    1561. 

  1561. },
    1562. 

  1562. EndRow: function() {
    1563. 

  1563. var t = e.mtr;
    1564. 

  1564. !this.global.tag && this.numbered && this.autoTag(), this.global.tag && !this.global.notags && (this.row = [ this.getTag() ].concat(this.row), t = e.mlabeledtr), this.numbered && delete this.global.notag, this.table.push(t.apply(e, this.row)), this.row = [];
    1565. 

  1565. },
    1566. 

  1566. EndTable: function() {
    1567. 

  1567. this.SUPER(arguments).EndTable.call(this), this.global.notags = this.save.notags, this.global.notag = this.save.notag;
    1568. 

  1568. }
    1569. 

  1569. }), i.start.Augment({
    1570. 

  1570. oldCheckItem: i.start.prototype.checkItem,
    1571. 

  1571. checkItem: function(r) {
    1572. 

  1572. if (r.type === "stop") {
    1573. 

  1573. var o = this.mmlData(), u = this.global;
    1574. 

  1574. n.display && !u.tag && !u.tagged && !u.isInner && (s.autoNumber === "all" || u.forcetag) && this.autoTag();
    1575. 

  1575. if (u.tag) {
    1576. 

  1576. var l = [ this.getTag(), e.mtd(o) ], c = {
    1577. 

  1577. side: t.config.TagSide,
    1578. 

  1578. minlabelspacing: t.config.TagIndent,
    1579. 

  1579. columnalign: o.displayAlign
    1580. 

  1580. };
    1581. 

  1581. o.displayAlign === e.INDENTALIGN.LEFT ? (c.width = "100%", o.displayIndent && !String(o.displayIndent).match(/^0+(\.0*)?($|[a-z%])/) && (c.columnwidth = o.displayIndent + " fit", c.columnspacing = "0", l = [ l[0], e.mtd(), l[1] ])) : o.displayAlign === e.INDENTALIGN.RIGHT && (c.width = "100%", o.displayIndent && !String(o.displayIndent).match(/^0+(\.0*)?($|[a-z%])/) && (c.columnwidth = "fit " + o.displayIndent, c.columnspacing = "0", l[2] = e.mtd())), o = e.mtable(e.mlabeledtr.apply(e, l)).With(c);
    1582. 

  1582. }
    1583. 

  1583. return i.mml(o);
    1584. 

  1584. }
    1585. 

  1585. return this.oldCheckItem.call(this, r);
    1586. 

  1586. }
    1587. 

  1587. }), t.prefilterHooks.Add(function(e) {
    1588. 

  1588. n.display = e.display, n.number = n.startNumber, n.eqlabels = {}, n.badref = !1, n.refUpdate && (n.number = e.script.MathJax.startNumber);
    1589. 

  1589. }), t.postfilterHooks.Add(function(e) {
    1590. 

  1590. e.script.MathJax.startNumber = n.startNumber, n.startNumber = n.number, MathJax.Hub.Insert(n.labels, n.eqlabels), n.badref && !e.math.texError && n.refs.push(e.script);
    1591. 

  1591. }), MathJax.Hub.Register.MessageHook("Begin Math Input", function() {
    1592. 

  1592. n.refs = [], n.refUpdate = !1;
    1593. 

  1593. }), MathJax.Hub.Register.MessageHook("End Math Input", function(e) {
    1594. 

  1594. if (n.refs.length) {
    1595. 

  1595. n.refUpdate = !0;
    1596. 

  1596. for (var t = 0, r = n.refs.length; t < r; t++) n.refs[t].MathJax.state = MathJax.ElementJax.STATE.UPDATE;
    1597. 

  1597. return MathJax.Hub.processInput({
    1598. 

  1598. scripts: n.refs,
    1599. 

  1599. start: (new Date).getTime(),
    1600. 

  1600. i: 0,
    1601. 

  1601. j: 0,
    1602. 

  1602. jax: {},
    1603. 

  1603. jaxIDs: []
    1604. 

  1604. });
    1605. 

  1605. }
    1606. 

  1606. return null;
    1607. 

  1607. }), t.resetEquationNumbers = function(e, t) {
    1608. 

  1608. n.startNumber = e || 0, t || (n.labels = {});
    1609. 

  1609. }, MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready");
    1610. 

  1610. }), MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js"), MathJax.Extension["TeX/AMSsymbols"] = {
    1611. 

  1611. version: "2.1"
    1612. 

  1612. }, MathJax.Hub.Register.StartupHook("TeX Jax Ready", function() {
    1613. 

  1613. var e = MathJax.ElementJax.mml, t = MathJax.InputJax.TeX.Definitions;
    1614. 

  1614. t.Add({
    1615. 

  1615. mathchar0mi: {
    1616. 

  1616. digamma: "03DD",
    1617. 

  1617. varkappa: "03F0",
    1618. 

  1618. varGamma: [ "0393", {
    1619. 

  1619. mathvariant: e.VARIANT.ITALIC
    1620. 

  1620. } ],
    1621. 

  1621. varDelta: [ "0394", {
    1622. 

  1622. mathvariant: e.VARIANT.ITALIC
    1623. 

  1623. } ],
    1624. 

  1624. varTheta: [ "0398", {
    1625. 

  1625. mathvariant: e.VARIANT.ITALIC
    1626. 

  1626. } ],
    1627. 

  1627. varLambda: [ "039B", {
    1628. 

  1628. mathvariant: e.VARIANT.ITALIC
    1629. 

  1629. } ],
    1630. 

  1630. varXi: [ "039E", {
    1631. 

  1631. mathvariant: e.VARIANT.ITALIC
    1632. 

  1632. } ],
    1633. 

  1633. varPi: [ "03A0", {
    1634. 

  1634. mathvariant: e.VARIANT.ITALIC
    1635. 

  1635. } ],
    1636. 

  1636. varSigma: [ "03A3", {
    1637. 

  1637. mathvariant: e.VARIANT.ITALIC
    1638. 

  1638. } ],
    1639. 

  1639. varUpsilon: [ "03A5", {
    1640. 

  1640. mathvariant: e.VARIANT.ITALIC
    1641. 

  1641. } ],
    1642. 

  1642. varPhi: [ "03A6", {
    1643. 

  1643. mathvariant: e.VARIANT.ITALIC
    1644. 

  1644. } ],
    1645. 

  1645. varPsi: [ "03A8", {
    1646. 

  1646. mathvariant: e.VARIANT.ITALIC
    1647. 

  1647. } ],
    1648. 

  1648. varOmega: [ "03A9", {
    1649. 

  1649. mathvariant: e.VARIANT.ITALIC
    1650. 

  1650. } ],
    1651. 

  1651. beth: "2136",
    1652. 

  1652. gimel: "2137",
    1653. 

  1653. daleth: "2138",
    1654. 

  1654. backprime: [ "2035", {
    1655. 

  1655. variantForm: !0
    1656. 

  1656. } ],
    1657. 

  1657. hslash: "210F",
    1658. 

  1658. varnothing: [ "2205", {
    1659. 

  1659. variantForm: !0
    1660. 

  1660. } ],
    1661. 

  1661. blacktriangle: "25B4",
    1662. 

  1662. triangledown: [ "25BD", {
    1663. 

  1663. variantForm: !0
    1664. 

  1664. } ],
    1665. 

  1665. blacktriangledown: "25BE",
    1666. 

  1666. square: "25FB",
    1667. 

  1667. Box: "25FB",
    1668. 

  1668. blacksquare: "25FC",
    1669. 

  1669. lozenge: "25CA",
    1670. 

  1670. Diamond: "25CA",
    1671. 

  1671. blacklozenge: "29EB",
    1672. 

  1672. circledS: [ "24C8", {
    1673. 

  1673. mathvariant: e.VARIANT.NORMAL
    1674. 

  1674. } ],
    1675. 

  1675. bigstar: "2605",
    1676. 

  1676. sphericalangle: "2222",
    1677. 

  1677. measuredangle: "2221",
    1678. 

  1678. nexists: "2204",
    1679. 

  1679. complement: "2201",
    1680. 

  1680. mho: "2127",
    1681. 

  1681. eth: [ "00F0", {
    1682. 

  1682. mathvariant: e.VARIANT.NORMAL
    1683. 

  1683. } ],
    1684. 

  1684. Finv: "2132",
    1685. 

  1685. diagup: "2571",
    1686. 

  1686. Game: "2141",
    1687. 

  1687. diagdown: "2572",
    1688. 

  1688. Bbbk: [ "006B", {
    1689. 

  1689. mathvariant: e.VARIANT.DOUBLESTRUCK
    1690. 

  1690. } ],
    1691. 

  1691. yen: "00A5",
    1692. 

  1692. circledR: "00AE",
    1693. 

  1693. checkmark: "2713",
    1694. 

  1694. maltese: "2720"
    1695. 

  1695. },
    1696. 

  1696. mathchar0mo: {
    1697. 

  1697. dotplus: "2214",
    1698. 

  1698. ltimes: "22C9",
    1699. 

  1699. smallsetminus: "2216",
    1700. 

  1700. rtimes: "22CA",
    1701. 

  1701. Cap: "22D2",
    1702. 

  1702. doublecap: "22D2",
    1703. 

  1703. leftthreetimes: "22CB",
    1704. 

  1704. Cup: "22D3",
    1705. 

  1705. doublecup: "22D3",
    1706. 

  1706. rightthreetimes: "22CC",
    1707. 

  1707. barwedge: "22BC",
    1708. 

  1708. curlywedge: "22CF",
    1709. 

  1709. veebar: "22BB",
    1710. 

  1710. curlyvee: "22CE",
    1711. 

  1711. doublebarwedge: "2A5E",
    1712. 

  1712. boxminus: "229F",
    1713. 

  1713. circleddash: "229D",
    1714. 

  1714. boxtimes: "22A0",
    1715. 

  1715. circledast: "229B",
    1716. 

  1716. boxdot: "22A1",
    1717. 

  1717. circledcirc: "229A",
    1718. 

  1718. boxplus: "229E",
    1719. 

  1719. centerdot: "22C5",
    1720. 

  1720. divideontimes: "22C7",
    1721. 

  1721. intercal: "22BA",
    1722. 

  1722. leqq: "2266",
    1723. 

  1723. geqq: "2267",
    1724. 

  1724. leqslant: "2A7D",
    1725. 

  1725. geqslant: "2A7E",
    1726. 

  1726. eqslantless: "2A95",
    1727. 

  1727. eqslantgtr: "2A96",
    1728. 

  1728. lesssim: "2272",
    1729. 

  1729. gtrsim: "2273",
    1730. 

  1730. lessapprox: "2A85",
    1731. 

  1731. gtrapprox: "2A86",
    1732. 

  1732. approxeq: "224A",
    1733. 

  1733. lessdot: "22D6",
    1734. 

  1734. gtrdot: "22D7",
    1735. 

  1735. lll: "22D8",
    1736. 

  1736. llless: "22D8",
    1737. 

  1737. ggg: "22D9",
    1738. 

  1738. gggtr: "22D9",
    1739. 

  1739. lessgtr: "2276",
    1740. 

  1740. gtrless: "2277",
    1741. 

  1741. lesseqgtr: "22DA",
    1742. 

  1742. gtreqless: "22DB",
    1743. 

  1743. lesseqqgtr: "2A8B",
    1744. 

  1744. gtreqqless: "2A8C",
    1745. 

  1745. doteqdot: "2251",
    1746. 

  1746. Doteq: "2251",
    1747. 

  1747. eqcirc: "2256",
    1748. 

  1748. risingdotseq: "2253",
    1749. 

  1749. circeq: "2257",
    1750. 

  1750. fallingdotseq: "2252",
    1751. 

  1751. triangleq: "225C",
    1752. 

  1752. backsim: "223D",
    1753. 

  1753. thicksim: [ "223C", {
    1754. 

  1754. variantForm: !0
    1755. 

  1755. } ],
    1756. 

  1756. backsimeq: "22CD",
    1757. 

  1757. thickapprox: [ "2248", {
    1758. 

  1758. variantForm: !0
    1759. 

  1759. } ],
    1760. 

  1760. subseteqq: "2AC5",
    1761. 

  1761. supseteqq: "2AC6",
    1762. 

  1762. Subset: "22D0",
    1763. 

  1763. Supset: "22D1",
    1764. 

  1764. sqsubset: "228F",
    1765. 

  1765. sqsupset: "2290",
    1766. 

  1766. preccurlyeq: "227C",
    1767. 

  1767. succcurlyeq: "227D",
    1768. 

  1768. curlyeqprec: "22DE",
    1769. 

  1769. curlyeqsucc: "22DF",
    1770. 

  1770. precsim: "227E",
    1771. 

  1771. succsim: "227F",
    1772. 

  1772. precapprox: "2AB7",
    1773. 

  1773. succapprox: "2AB8",
    1774. 

  1774. vartriangleleft: "22B2",
    1775. 

  1775. lhd: "22B2",
    1776. 

  1776. vartriangleright: "22B3",
    1777. 

  1777. rhd: "22B3",
    1778. 

  1778. trianglelefteq: "22B4",
    1779. 

  1779. unlhd: "22B4",
    1780. 

  1780. trianglerighteq: "22B5",
    1781. 

  1781. unrhd: "22B5",
    1782. 

  1782. vDash: "22A8",
    1783. 

  1783. Vdash: "22A9",
    1784. 

  1784. Vvdash: "22AA",
    1785. 

  1785. smallsmile: "2323",
    1786. 

  1786. shortmid: [ "2223", {
    1787. 

  1787. variantForm: !0
    1788. 

  1788. } ],
    1789. 

  1789. smallfrown: "2322",
    1790. 

  1790. shortparallel: [ "2225", {
    1791. 

  1791. variantForm: !0
    1792. 

  1792. } ],
    1793. 

  1793. bumpeq: "224F",
    1794. 

  1794. between: "226C",
    1795. 

  1795. Bumpeq: "224E",
    1796. 

  1796. pitchfork: "22D4",
    1797. 

  1797. varpropto: "221D",
    1798. 

  1798. backepsilon: "220D",
    1799. 

  1799. blacktriangleleft: "25C2",
    1800. 

  1800. blacktriangleright: "25B8",
    1801. 

  1801. therefore: "2234",
    1802. 

  1802. because: "2235",
    1803. 

  1803. eqsim: "2242",
    1804. 

  1804. vartriangle: [ "25B3", {
    1805. 

  1805. variantForm: !0
    1806. 

  1806. } ],
    1807. 

  1807. Join: "22C8",
    1808. 

  1808. nless: "226E",
    1809. 

  1809. ngtr: "226F",
    1810. 

  1810. nleq: "2270",
    1811. 

  1811. ngeq: "2271",
    1812. 

  1812. nleqslant: [ "2A87", {
    1813. 

  1813. variantForm: !0
    1814. 

  1814. } ],
    1815. 

  1815. ngeqslant: [ "2A88", {
    1816. 

  1816. variantForm: !0
    1817. 

  1817. } ],
    1818. 

  1818. nleqq: [ "2270", {
    1819. 

  1819. variantForm: !0
    1820. 

  1820. } ],
    1821. 

  1821. ngeqq: [ "2271", {
    1822. 

  1822. variantForm: !0
    1823. 

  1823. } ],
    1824. 

  1824. lneq: "2A87",
    1825. 

  1825. gneq: "2A88",
    1826. 

  1826. lneqq: "2268",
    1827. 

  1827. gneqq: "2269",
    1828. 

  1828. lvertneqq: [ "2268", {
    1829. 

  1829. variantForm: !0
    1830. 

  1830. } ],
    1831. 

  1831. gvertneqq: [ "2269", {
    1832. 

  1832. variantForm: !0
    1833. 

  1833. } ],
    1834. 

  1834. lnsim: "22E6",
    1835. 

  1835. gnsim: "22E7",
    1836. 

  1836. lnapprox: "2A89",
    1837. 

  1837. gnapprox: "2A8A",
    1838. 

  1838. nprec: "2280",
    1839. 

  1839. nsucc: "2281",
    1840. 

  1840. npreceq: [ "22E0", {
    1841. 

  1841. variantForm: !0
    1842. 

  1842. } ],
    1843. 

  1843. nsucceq: [ "22E1", {
    1844. 

  1844. variantForm: !0
    1845. 

  1845. } ],
    1846. 

  1846. precneqq: "2AB5",
    1847. 

  1847. succneqq: "2AB6",
    1848. 

  1848. precnsim: "22E8",
    1849. 

  1849. succnsim: "22E9",
    1850. 

  1850. precnapprox: "2AB9",
    1851. 

  1851. succnapprox: "2ABA",
    1852. 

  1852. nsim: "2241",
    1853. 

  1853. ncong: "2246",
    1854. 

  1854. nshortmid: [ "2224", {
    1855. 

  1855. variantForm: !0
    1856. 

  1856. } ],
    1857. 

  1857. nshortparallel: [ "2226", {
    1858. 

  1858. variantForm: !0
    1859. 

  1859. } ],
    1860. 

  1860. nmid: "2224",
    1861. 

  1861. nparallel: "2226",
    1862. 

  1862. nvdash: "22AC",
    1863. 

  1863. nvDash: "22AD",
    1864. 

  1864. nVdash: "22AE",
    1865. 

  1865. nVDash: "22AF",
    1866. 

  1866. ntriangleleft: "22EA",
    1867. 

  1867. ntriangleright: "22EB",
    1868. 

  1868. ntrianglelefteq: "22EC",
    1869. 

  1869. ntrianglerighteq: "22ED",
    1870. 

  1870. nsubseteq: "2288",
    1871. 

  1871. nsupseteq: "2289",
    1872. 

  1872. nsubseteqq: [ "2288", {
    1873. 

  1873. variantForm: !0
    1874. 

  1874. } ],
    1875. 

  1875. nsupseteqq: [ "2289", {
    1876. 

  1876. variantForm: !0
    1877. 

  1877. } ],
    1878. 

  1878. subsetneq: "228A",
    1879. 

  1879. supsetneq: "228B",
    1880. 

  1880. varsubsetneq: [ "228A", {
    1881. 

  1881. variantForm: !0
    1882. 

  1882. } ],
    1883. 

  1883. varsupsetneq: [ "228B", {
    1884. 

  1884. variantForm: !0
    1885. 

  1885. } ],
    1886. 

  1886. subsetneqq: "2ACB",
    1887. 

  1887. supsetneqq: "2ACC",
    1888. 

  1888. varsubsetneqq: [ "2ACB", {
    1889. 

  1889. variantForm: !0
    1890. 

  1890. } ],
    1891. 

  1891. varsupsetneqq: [ "2ACC", {
    1892. 

  1892. variantForm: !0
    1893. 

  1893. } ],
    1894. 

  1894. leftleftarrows: "21C7",
    1895. 

  1895. rightrightarrows: "21C9",
    1896. 

  1896. leftrightarrows: "21C6",
    1897. 

  1897. rightleftarrows: "21C4",
    1898. 

  1898. Lleftarrow: "21DA",
    1899. 

  1899. Rrightarrow: "21DB",
    1900. 

  1900. twoheadleftarrow: "219E",
    1901. 

  1901. twoheadrightarrow: "21A0",
    1902. 

  1902. leftarrowtail: "21A2",
    1903. 

  1903. rightarrowtail: "21A3",
    1904. 

  1904. looparrowleft: "21AB",
    1905. 

  1905. looparrowright: "21AC",
    1906. 

  1906. leftrightharpoons: "21CB",
    1907. 

  1907. rightleftharpoons: [ "21CC", {
    1908. 

  1908. variantForm: !0
    1909. 

  1909. } ],
    1910. 

  1910. curvearrowleft: "21B6",
    1911. 

  1911. curvearrowright: "21B7",
    1912. 

  1912. circlearrowleft: "21BA",
    1913. 

  1913. circlearrowright: "21BB",
    1914. 

  1914. Lsh: "21B0",
    1915. 

  1915. Rsh: "21B1",
    1916. 

  1916. upuparrows: "21C8",
    1917. 

  1917. downdownarrows: "21CA",
    1918. 

  1918. upharpoonleft: "21BF",
    1919. 

  1919. upharpoonright: "21BE",
    1920. 

  1920. downharpoonleft: "21C3",
    1921. 

  1921. restriction: "21BE",
    1922. 

  1922. multimap: "22B8",
    1923. 

  1923. downharpoonright: "21C2",
    1924. 

  1924. leftrightsquigarrow: "21AD",
    1925. 

  1925. rightsquigarrow: "21DD",
    1926. 

  1926. leadsto: "21DD",
    1927. 

  1927. dashrightarrow: "21E2",
    1928. 

  1928. dashleftarrow: "21E0",
    1929. 

  1929. nleftarrow: "219A",
    1930. 

  1930. nrightarrow: "219B",
    1931. 

  1931. nLeftarrow: "21CD",
    1932. 

  1932. nRightarrow: "21CF",
    1933. 

  1933. nleftrightarrow: "21AE",
    1934. 

  1934. nLeftrightarrow: "21CE"
    1935. 

  1935. },
    1936. 

  1936. delimiter: {
    1937. 

  1937. "\\ulcorner": "231C",
    1938. 

  1938. "\\urcorner": "231D",
    1939. 

  1939. "\\llcorner": "231E",
    1940. 

  1940. "\\lrcorner": "231F"
    1941. 

  1941. },
    1942. 

  1942. macros: {
    1943. 

  1943. implies: [ "Macro", "\\;\\Longrightarrow\\;" ],
    1944. 

  1944. impliedby: [ "Macro", "\\;\\Longleftarrow\\;" ]
    1945. 

  1945. }
    1946. 

  1946. }, null, !0);
    1947. 

  1947. var n = e.mo.OPTYPES.REL;
    1948. 

  1948. MathJax.Hub.Insert(e.mo.prototype, {
    1949. 

  1949. OPTABLE: {
    1950. 

  1950. infix: {
    1951. 

  1951. "\u2322": n,
    1952. 

  1952. "\u2323": n,
    1953. 

  1953. "\u25b3": n,
    1954. 

  1954. "\ue006": n,
    1955. 

  1955. "\ue007": n,
    1956. 

  1956. "\ue00c": n,
    1957. 

  1957. "\ue00d": n,
    1958. 

  1958. "\ue00e": n,
    1959. 

  1959. "\ue00f": n,
    1960. 

  1960. "\ue010": n,
    1961. 

  1961. "\ue011": n,
    1962. 

  1962. "\ue016": n,
    1963. 

  1963. "\ue017": n,
    1964. 

  1964. "\ue018": n,
    1965. 

  1965. "\ue019": n,
    1966. 

  1966. "\ue01a": n,
    1967. 

  1967. "\ue01b": n,
    1968. 

  1968. "\ue04b": n,
    1969. 

  1969. "\ue04f": n
    1970. 

  1970. }
    1971. 

  1971. }
    1972. 

  1972. }), MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready");
    1973. 

  1973. }), MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js"), function(e, t) {
    1974. 

  1974. var n = "2.1", r = e.CombineConfig("TeX.noErrors", {
    1975. 

  1975. disabled: !1,
    1976. 

  1976. multiLine: !0,
    1977. 

  1977. inlineDelimiters: [ "", "" ],
    1978. 

  1978. style: {
    1979. 

  1979. "font-size": "90%",
    1980. 

  1980. "text-align": "left",
    1981. 

  1981. color: "black",
    1982. 

  1982. padding: "1px 3px",
    1983. 

  1983. border: "1px solid"
    1984. 

  1984. }
    1985. 

  1985. }), i = "\u00a0";
    1986. 

  1986. MathJax.Extension["TeX/noErrors"] = {
    1987. 

  1987. version: n,
    1988. 

  1988. config: r
    1989. 

  1989. }, e.Register.StartupHook("TeX Jax Ready", function() {
    1990. 

  1990. var t = MathJax.InputJax.TeX.formatError;
    1991. 

  1991. MathJax.InputJax.TeX.Augment({
    1992. 

  1992. formatError: function(n, s, o, u) {
    1993. 

  1993. if (r.disabled) return t.apply(this, arguments);
    1994. 

  1994. var l = n.message.replace(/\n.*/, "");
    1995. 

  1995. e.signal.Post([ "TeX Jax - parse error", l, s, o, u ]);
    1996. 

  1996. var h = r.inlineDelimiters, p = o || r.multiLine;
    1997. 

  1997. return o || (s = h[0] + s + h[1]), p ? s = s.replace(/ /g, i) : s = s.replace(/\n/g, " "), MathJax.ElementJax.mml.merror(s).With({
    1998. 

  1998. isError: !0,
    1999. 

  1999. multiLine: p
    2000. 

  2000. });
    2001. 

  2001. }
    2002. 

  2002. });
    2003. 

  2003. }), e.Register.StartupHook("HTML-CSS Jax Config", function() {
    2004. 

  2004. e.Config({
    2005. 

  2005. "HTML-CSS": {
    2006. 

  2006. styles: {
    2007. 

  2007. ".MathJax .noError": e.Insert({
    2008. 

  2008. "vertical-align": e.Browser.isMSIE && r.multiLine ? "-2px" : ""
    2009. 

  2009. }, r.style)
    2010. 

  2010. }
    2011. 

  2011. }
    2012. 

  2012. });
    2013. 

  2013. }), e.Register.StartupHook("HTML-CSS Jax Ready", function() {
    2014. 

  2014. var e = MathJax.ElementJax.mml, t = MathJax.OutputJax["HTML-CSS"], n = e.math.prototype.toHTML, r = e.merror.prototype.toHTML;
    2015. 

  2015. e.math.Augment({
    2016. 

  2016. toHTML: function(e, t) {
    2017. 

  2017. var r = this.data[0];
    2018. 

  2018. return r && r.data[0] && r.data[0].isError ? (e.style.fontSize = "", e = this.HTMLcreateSpan(e), e.bbox = r.data[0].toHTML(e).bbox) : e = n.call(this, e, t), e;
    2019. 

  2019. }
    2020. 

  2020. }), e.merror.Augment({
    2021. 

  2021. toHTML: function(e) {
    2022. 

  2022. if (!this.isError) return r.call(this, e);
    2023. 

  2023. e = this.HTMLcreateSpan(e), e.className = "noError", this.multiLine && (e.style.display = "inline-block");
    2024. 

  2024. var n = this.data[0].data[0].data.join("").split(/\n/);
    2025. 

  2025. for (var i = 0, s = n.length; i < s; i++) t.addText(e, n[i]), i !== s - 1 && t.addElement(e, "br", {
    2026. 

  2026. isMathJax: !0
    2027. 

  2027. });
    2028. 

  2028. var o = t.getHD(e.parentNode), u = t.getW(e.parentNode);
    2029. 

  2029. if (s > 1) {
    2030. 

  2030. var a = (o.h + o.d) / 2, f = t.TeX.x_height / 2;
    2031. 

  2031. e.parentNode.style.verticalAlign = t.Em(o.d + (f - a)), o.h = f + a, o.d = a - f;
    2032. 

  2032. }
    2033. 

  2033. return e.bbox = {
    2034. 

  2034. h: o.h,
    2035. 

  2035. d: o.d,
    2036. 

  2036. w: u,
    2037. 

  2037. lw: 0,
    2038. 

  2038. rw: u
    2039. 

  2039. }, e;
    2040. 

  2040. }
    2041. 

  2041. });
    2042. 

  2042. }), e.Register.StartupHook("SVG Jax Config", function() {
    2043. 

  2043. e.Config({
    2044. 

  2044. SVG: {
    2045. 

  2045. styles: {
    2046. 

  2046. ".MathJax_SVG .noError": e.Insert({
    2047. 

  2047. "vertical-align": e.Browser.isMSIE && r.multiLine ? "-2px" : ""
    2048. 

  2048. }, r.style)
    2049. 

  2049. }
    2050. 

  2050. }
    2051. 

  2051. });
    2052. 

  2052. }), e.Register.StartupHook("SVG Jax Ready", function() {
    2053. 

  2053. var e = MathJax.ElementJax.mml, n = e.math.prototype.toSVG, r = e.merror.prototype.toSVG;
    2054. 

  2054. e.math.Augment({
    2055. 

  2055. toSVG: function(e, t) {
    2056. 

  2056. var r = this.data[0];
    2057. 

  2057. return r && r.data[0] && r.data[0].isError ? e = r.data[0].toSVG(e) : e = n.call(this, e, t), e;
    2058. 

  2058. }
    2059. 

  2059. }), e.merror.Augment({
    2060. 

  2060. toSVG: function(e) {
    2061. 

  2061. if (!this.isError || this.Parent().type !== "math") return r.call(this, e);
    2062. 

  2062. e = t.addElement(e, "span", {
    2063. 

  2063. className: "noError",
    2064. 

  2064. isMathJax: !0
    2065. 

  2065. }), this.multiLine && (e.style.display = "inline-block");
    2066. 

  2066. var n = this.data[0].data[0].data.join("").split(/\n/);
    2067. 

  2067. for (var i = 0, s = n.length; i < s; i++) t.addText(e, n[i]), i !== s - 1 && t.addElement(e, "br", {
    2068. 

  2068. isMathJax: !0
    2069. 

  2069. });
    2070. 

  2070. if (s > 1) {
    2071. 

  2071. var o = e.offsetHeight / 2;
    2072. 

  2072. e.style.verticalAlign = -o + o / s + "px";
    2073. 

  2073. }
    2074. 

  2074. return e;
    2075. 

  2075. }
    2076. 

  2076. });
    2077. 

  2077. }), e.Register.StartupHook("NativeMML Jax Ready", function() {
    2078. 

  2078. var e = MathJax.ElementJax.mml, t = MathJax.Extension["TeX/noErrors"].config, n = e.math.prototype.toNativeMML, r = e.merror.prototype.toNativeMML;
    2079. 

  2079. e.math.Augment({
    2080. 

  2080. toNativeMML: function(e) {
    2081. 

  2081. var t = this.data[0];
    2082. 

  2082. return t && t.data[0] && t.data[0].isError ? e = t.data[0].toNativeMML(e) : e = n.call(this, e), e;
    2083. 

  2083. }
    2084. 

  2084. }), e.merror.Augment({
    2085. 

  2085. toNativeMML: function(e) {
    2086. 

  2086. if (!this.isError) return r.call(this, e);
    2087. 

  2087. e = e.appendChild(document.createElement("span"));
    2088. 

  2088. var n = this.data[0].data[0].data.join("").split(/\n/);
    2089. 

  2089. for (var i = 0, s = n.length; i < s; i++) e.appendChild(document.createTextNode(n[i])), i !== s - 1 && e.appendChild(document.createElement("br"));
    2090. 

  2090. this.multiLine && (e.style.display = "inline-block", s > 1 && (e.style.verticalAlign = "middle"));
    2091. 

  2091. for (var o in t.style) if (t.style.hasOwnProperty(o)) {
    2092. 

  2092. var u = o.replace(/-./g, function(e) {
    2093. 

  2093. return e.charAt(1).toUpperCase();
    2094. 

  2094. });
    2095. 

  2095. e.style[u] = t.style[o];
    2096. 

  2096. }
    2097. 

  2097. return e;
    2098. 

  2098. }
    2099. 

  2099. });
    2100. 

  2100. }), e.Startup.signal.Post("TeX noErrors Ready");
    2101. 

  2101. }(MathJax.Hub, MathJax.HTML), MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"), MathJax.Extension["TeX/noUndefined"] = {
    2102. 

  2102. version: "2.1",
    2103. 

  2103. config: MathJax.Hub.CombineConfig("TeX.noUndefined", {
    2104. 

  2104. disabled: !1,
    2105. 

  2105. attributes: {
    2106. 

  2106. mathcolor: "red"
    2107. 

  2107. }
    2108. 

  2108. })
    2109. 

  2109. }, MathJax.Hub.Register.StartupHook("TeX Jax Ready", function() {
    2110. 

  2110. var e = MathJax.Extension["TeX/noUndefined"].config, t = MathJax.ElementJax.mml, n = MathJax.InputJax.TeX.Parse.prototype.csUndefined;
    2111. 

  2111. MathJax.InputJax.TeX.Parse.Augment({
    2112. 

  2112. csUndefined: function(r) {
    2113. 

  2113. if (e.disabled) return n.apply(this, arguments);
    2114. 

  2114. MathJax.Hub.signal.Post([ "TeX Jax - undefined control sequence", r ]), this.Push(t.mtext(r).With(e.attributes));
    2115. 

  2115. }
    2116. 

  2116. }), MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready");
    2117. 

  2117. }), MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"), MathJax.Extension["TeX/newcommand"] = {
    2118. 

  2118. version: "2.1"
    2119. 

  2119. }, MathJax.Hub.Register.StartupHook("TeX Jax Ready", function() {
    2120. 

  2120. var e = MathJax.InputJax.TeX, t = e.Definitions;
    2121. 

  2121. t.Add({
    2122. 

  2122. macros: {
    2123. 

  2123. newcommand: "NewCommand",
    2124. 

  2124. renewcommand: "NewCommand",
    2125. 

  2125. newenvironment: "NewEnvironment",
    2126. 

  2126. renewenvironment: "NewEnvironment",
    2127. 

  2127. def: "MacroDef",
    2128. 

  2128. let: "Let"
    2129. 

  2129. }
    2130. 

  2130. }, null, !0), e.Parse.Augment({
    2131. 

  2131. NewCommand: function(t) {
    2132. 

  2132. var n = this.trimSpaces(this.GetArgument(t)), r = this.GetBrackets(t), i = this.GetBrackets(t), s = this.GetArgument(t);
    2133. 

  2133. n.charAt(0) === "\\" && (n = n.substr(1)), n.match(/^(.|[a-z]+)$/i) || e.Error("Illegal control sequence name for " + t), r && (r = this.trimSpaces(r), r.match(/^[0-9]+$/) || e.Error("Illegal number of parameters specified in " + t)), this.setDef(n, [ "Macro", s, r, i ]);
    2134. 

  2134. },
    2135. 

  2135. NewEnvironment: function(t) {
    2136. 

  2136. var n = this.trimSpaces(this.GetArgument(t)), r = this.GetBrackets(t), i = this.GetArgument(t), s = this.GetArgument(t);
    2137. 

  2137. r && (r = this.trimSpaces(r), r.match(/^[0-9]+$/) || e.Error("Illegal number of parameters specified in " + t)), this.setEnv(n, [ "BeginEnv", "EndEnv", i, s, r ]);
    2138. 

  2138. },
    2139. 

  2139. MacroDef: function(e) {
    2140. 

  2140. var t = this.GetCSname(e), n = this.GetTemplate(e, "\\" + t), r = this.GetArgument(e);
    2141. 

  2141. n instanceof Array ? this.setDef(t, [ "MacroWithTemplate", r ].concat(n)) : this.setDef(t, [ "Macro", r, n ]);
    2142. 

  2142. },
    2143. 

  2143. Let: function(e) {
    2144. 

  2144. var n = this.GetCSname(e), r, i = this.GetNext();
    2145. 

  2145. i === "=" && (this.i++, i = this.GetNext()), i === "\\" ? (e = this.GetCSname(e), r = this.csFindMacro(e), r || (t.mathchar0mi[e] ? r = [ "csMathchar0mi", t.mathchar0mi[e] ] : t.mathchar0mo[e] ? r = [ "csMathchar0mo", t.mathchar0mo[e] ] : t.mathchar7[e] ? r = [ "csMathchar7", t.mathchar7[e] ] : t.delimiter["\\" + e] != null && (r = [ "csDelimiter", t.delimiter["\\" + e] ]))) : (r = [ "Macro", i ], this.i++), this.setDef(n, r);
    2146. 

  2146. },
    2147. 

  2147. setDef: function(e, n) {
    2148. 

  2148. n.isUser = !0, t.macros[e] = n;
    2149. 

  2149. },
    2150. 

  2150. setEnv: function(e, n) {
    2151. 

  2151. n.isUser = !0, t.environment[e] = n;
    2152. 

  2152. },
    2153. 

  2153. GetCSname: function(t) {
    2154. 

  2154. var n = this.GetNext();
    2155. 

  2155. n !== "\\" && e.Error("\\ must be followed by a control sequence");
    2156. 

  2156. var r = this.trimSpaces(this.GetArgument(t));
    2157. 

  2157. return r.substr(1);
    2158. 

  2158. },
    2159. 

  2159. GetTemplate: function(t, n) {
    2160. 

  2160. var r, i = [], s = 0;
    2161. 

  2161. r = this.GetNext();
    2162. 

  2162. var o = this.i;
    2163. 

  2163. while (this.i < this.string.length) {
    2164. 

  2164. r = this.GetNext();
    2165. 

  2165. if (r === "#") o !== this.i && (i[s] = this.string.substr(o, this.i - o)), r = this.string.charAt(++this.i), r.match(/^[1-9]$/) || e.Error("Illegal use of # in template for " + n), parseInt(r) != ++s && e.Error("Parameters for " + n + " must be numbered sequentially"), o = this.i + 1; else if (r === "{") return o !== this.i && (i[s] = this.string.substr(o, this.i - o)), i.length > 0 ? [ s, i ] : s;
    2166. 

  2166. this.i++;
    2167. 

  2167. }
    2168. 

  2168. e.Error("Missing replacement string for definition of " + t);
    2169. 

  2169. },
    2170. 

  2170. MacroWithTemplate: function(t, n, r, i) {
    2171. 

  2171. if (r) {
    2172. 

  2172. var s = [];
    2173. 

  2173. this.GetNext(), i[0] && !this.MatchParam(i[0]) && e.Error("Use of " + t + " doesn't match its definition");
    2174. 

  2174. for (var o = 0; o < r; o++) s.push(this.GetParameter(t, i[o + 1]));
    2175. 

  2175. n = this.SubstituteArgs(s, n);
    2176. 

  2176. }
    2177. 

  2177. this.string = this.AddArgs(n, this.string.slice(this.i)), this.i = 0, ++this.macroCount > e.config.MAXMACROS && e.Error("MathJax maximum macro substitution count exceeded; is there a recursive macro call?");
    2178. 

  2178. },
    2179. 

  2179. BeginEnv: function(e, t, n, r) {
    2180. 

  2180. if (r) {
    2181. 

  2181. var i = [];
    2182. 

  2182. for (var s = 0; s < r; s++) i.push(this.GetArgument("\\begin{" + name + "}"));
    2183. 

  2183. t = this.SubstituteArgs(i, t), n = this.SubstituteArgs(i, n);
    2184. 

  2184. }
    2185. 

  2185. return e.edef = n, this.string = this.AddArgs(t, this.string.slice(this.i)), this.i = 0, e;
    2186. 

  2186. },
    2187. 

  2187. EndEnv: function(e, t) {
    2188. 

  2188. return this.string = this.AddArgs(e.edef, this.string.slice(this.i)), this.i = 0, t;
    2189. 

  2189. },
    2190. 

  2190. GetParameter: function(t, n) {
    2191. 

  2191. if (n == null) return this.GetArgument(t);
    2192. 

  2192. var r = this.i, i = 0, s = 0;
    2193. 

  2193. while (this.i < this.string.length) if (this.string.charAt(this.i) === "{") this.i === r && (s = 1), this.GetArgument(t), i = this.i - r; else {
    2194. 

  2194. if (this.MatchParam(n)) return s && (r++, i -= 2), this.string.substr(r, i);
    2195. 

  2195. this.i++, i++, s = 0;
    2196. 

  2196. }
    2197. 

  2197. e.Error("Runaway argument for " + t + "?");
    2198. 

  2198. },
    2199. 

  2199. MatchParam: function(e) {
    2200. 

  2200. return this.string.substr(this.i, e.length) !== e ? 0 : (this.i += e.length, 1);
    2201. 

  2201. }
    2202. 

  2202. }), e.Environment = function(e) {
    2203. 

  2203. t.environment[e] = [ "BeginEnv", "EndEnv" ].concat([].slice.call(arguments, 1)), t.environment[e].isUser = !0;
    2204. 

  2204. }, MathJax.Hub.Startup.signal.Post("TeX newcommand Ready");
    2205. 

  2205. }), MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js"), MathJax.Extension["TeX/boldsymbol"] = {
    2206. 

  2206. version: "2.1"
    2207. 

  2207. }, MathJax.Hub.Register.StartupHook("TeX Jax Ready", function() {
    2208. 

  2208. var e = MathJax.ElementJax.mml, t = MathJax.InputJax.TeX, n = t.Definitions, r = {};
    2209. 

  2209. r[e.VARIANT.NORMAL] = e.VARIANT.BOLD, r[e.VARIANT.ITALIC] = e.VARIANT.BOLDITALIC, r[e.VARIANT.FRAKTUR] = e.VARIANT.BOLDFRAKTUR, r[e.VARIANT.SCRIPT] = e.VARIANT.BOLDSCRIPT, r[e.VARIANT.SANSSERIF] = e.VARIANT.BOLDSANSSERIF, r["-tex-caligraphic"] = "-tex-caligraphic-bold", r["-tex-oldstyle"] = "-tex-oldstyle-bold", n.Add({
    2210. 

  2210. macros: {
    2211. 

  2211. boldsymbol: "Boldsymbol"
    2212. 

  2212. }
    2213. 

  2213. }, null, !0), t.Parse.Augment({
    2214. 

  2214. mmlToken: function(t) {
    2215. 

  2215. if (this.stack.env.boldsymbol) {
    2216. 

  2216. var n = t.Get("mathvariant");
    2217. 

  2217. n == null ? t.mathvariant = e.VARIANT.BOLD : t.mathvariant = r[n] || n;
    2218. 

  2218. }
    2219. 

  2219. return t;
    2220. 

  2220. },
    2221. 

  2221. Boldsymbol: function(e) {
    2222. 

  2222. var t = this.stack.env.boldsymbol, n = this.stack.env.font;
    2223. 

  2223. this.stack.env.boldsymbol = !0, this.stack.env.font = null;
    2224. 

  2224. var r = this.ParseArg(e);
    2225. 

  2225. this.stack.env.font = n, this.stack.env.boldsymbol = t, this.Push(r);
    2226. 

  2226. }
    2227. 

  2227. }), MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready");
    2228. 

  2228. }), MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready", function() {
    2229. 

  2229. var e = MathJax.OutputJax["HTML-CSS"], t = e.FONTDATA.FONTS, n = e.FONTDATA.VARIANT;
    2230. 

  2230. e.fontInUse === "TeX" ? (t["MathJax_Caligraphic-bold"] = "Caligraphic/Bold/Main.js", n["-tex-caligraphic-bold"] = {
    2231. 

  2231. fonts: [ "MathJax_Caligraphic-bold", "MathJax_Main-bold", "MathJax_Main", "MathJax_Math", "MathJax_Size1" ],
    2232. 

  2232. offsetA: 65,
    2233. 

  2233. variantA: "bold-italic"
    2234. 

  2234. }, n["-tex-oldstyle-bold"] = {
    2235. 

  2235. fonts: [ "MathJax_Caligraphic-bold", "MathJax_Main-bold", "MathJax_Main", "MathJax_Math", "MathJax_Size1" ]
    2236. 

  2236. }, e.msieCheckGreek && e.Font.testFont({
    2237. 

  2237. family: "MathJax_Greek",
    2238. 

  2238. weight: "bold",
    2239. 

  2239. style: "italic",
    2240. 

  2240. testString: e.msieCheckGreek
    2241. 

  2241. }) && (n["bold-italic"].offsetG = 913, n["bold-italic"].variantG = "-Greek-Bold-Italic", n["-Greek-Bold-Italic"] = {
    2242. 

  2242. fonts: [ "MathJax_Greek-bold-italic" ]
    2243. 

  2243. }, t["MathJax_Greek-bold-italic"] = "Greek/BoldItalic/Main.js"), MathJax.Hub.Browser.isChrome && !MathJax.Hub.Browser.versionAtLeast("5.0") && (n["-tex-caligraphic-bold"].remap = {
    2244. 

  2244. 84: [ 58096, "-WinChrome" ]
    2245. 

  2245. })) : e.fontInUse === "STIX" && (n["-tex-caligraphic-bold"] = {
    2246. 

  2246. fonts: [ "STIXGeneral-bold-italic", "STIXNonUnicode-bold-italic", "STIXNonUnicode", "STIXGeneral", "STIXSizeOneSym" ],
    2247. 

  2247. offsetA: 57927,
    2248. 

  2248. noLowerCase: 1
    2249. 

  2249. }, n["-tex-oldstyle-bold"] = {
    2250. 

  2250. fonts: [ "STIXGeneral-bold", "STIXNonUnicode-bold", "STIXGeneral", "STIXSizeOneSym" ],
    2251. 

  2251. offsetN: 57955,
    2252. 

  2252. remap: {
    2253. 

  2253. 57956: 57959,
    2254. 

  2254. 57957: 57963,
    2255. 

  2255. 57958: 57967,
    2256. 

  2256. 57959: 57971,
    2257. 

  2257. 57960: 57975,
    2258. 

  2258. 57961: 57979,
    2259. 

  2259. 57962: 57983,
    2260. 

  2260. 57963: 57987,
    2261. 

  2261. 57964: 57991
    2262. 

  2262. }
    2263. 

  2263. });
    2264. 

  2264. }), MathJax.Hub.Register.StartupHook("SVG Jax Ready", function() {
    2265. 

  2265. var e = MathJax.OutputJax.SVG, t = e.FONTDATA.FONTS, n = e.FONTDATA.VARIANT;
    2266. 

  2266. t["MathJax_Caligraphic-bold"] = "Caligraphic/Bold/Main.js", n["-tex-caligraphic-bold"] = {
    2267. 

  2267. fonts: [ "MathJax_Caligraphic-bold", "MathJax_Main-bold", "MathJax_Main", "MathJax_Math", "MathJax_Size1" ],
    2268. 

  2268. offsetA: 65,
    2269. 

  2269. variantA: "bold-italic"
    2270. 

  2270. }, n["-tex-oldstyle-bold"] = {
    2271. 

  2271. fonts: [ "MathJax_Caligraphic-bold", "MathJax_Main-bold", "MathJax_Main", "MathJax_Math", "MathJax_Size1" ]
    2272. 

  2272. };
    2273. 

  2273. }), MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js"), MathJax.Extension.tex2jax = {
    2274. 

  2274. version: "2.1",
    2275. 

  2275. config: {
    2276. 

  2276. inlineMath: [ [ "\\(", "\\)" ] ],
    2277. 

  2277. displayMath: [ [ "$$", "$$" ], [ "\\[", "\\]" ] ],
    2278. 

  2278. balanceBraces: !0,
    2279. 

  2279. skipTags: [ "script", "noscript", "style", "textarea", "pre", "code" ],
    2280. 

  2280. ignoreClass: "tex2jax_ignore",
    2281. 

  2281. processClass: "tex2jax_process",
    2282. 

  2282. processEscapes: !1,
    2283. 

  2283. processEnvironments: !0,
    2284. 

  2284. processRefs: !0,
    2285. 

  2285. preview: "TeX"
    2286. 

  2286. },
    2287. 

  2287. PreProcess: function(e) {
    2288. 

  2288. this.configured || (this.config = MathJax.Hub.CombineConfig("tex2jax", this.config), this.config.Augment && MathJax.Hub.Insert(this, this.config.Augment), typeof this.config.previewTeX != "undefined" && !this.config.previewTeX && (this.config.preview = "none"), this.configured = !0), typeof e == "string" && (e = document.getElementById(e)), e || (e = document.body), this.createPatterns() && this.scanElement(e, e.nextSibling);
    2289. 

  2289. },
    2290. 

  2290. createPatterns: function() {
    2291. 

  2291. var e = [], t = [], n, r, i = this.config;
    2292. 

  2292. this.match = {};
    2293. 

  2293. for (n = 0, r = i.inlineMath.length; n < r; n++) e.push(this.patternQuote(i.inlineMath[n][0])), this.match[i.inlineMath[n][0]] = {
    2294. 

  2294. mode: "",
    2295. 

  2295. end: i.inlineMath[n][1],
    2296. 

  2296. pattern: this.endPattern(i.inlineMath[n][1])
    2297. 

  2297. };
    2298. 

  2298. for (n = 0, r = i.displayMath.length; n < r; n++) e.push(this.patternQuote(i.displayMath[n][0])), this.match[i.displayMath[n][0]] = {
    2299. 

  2299. mode: "; mode=display",
    2300. 

  2300. end: i.displayMath[n][1],
    2301. 

  2301. pattern: this.endPattern(i.displayMath[n][1])
    2302. 

  2302. };
    2303. 

  2303. return e.length && t.push(e.sort(this.sortLength).join("|")), i.processEnvironments && t.push("\\\\begin\\{([^}]*)\\}"), i.processEscapes && t.push("\\\\*\\\\\\$"), i.processRefs && t.push("\\\\(eq)?ref\\{[^}]*\\}"), this.start = new RegExp(t.join("|"), "g"), this.skipTags = new RegExp("^(" + i.skipTags.join("|") + ")$", "i"), this.ignoreClass = new RegExp("(^| )(" + i.ignoreClass + ")( |$)"), this.processClass = new RegExp("(^| )(" + i.processClass + ")( |$)"), t.length > 0;
    2304. 

  2304. },
    2305. 

  2305. patternQuote: function(e) {
    2306. 

  2306. return e.replace(/([\^$(){}+*?\-|\[\]\:\\])/g, "\\$1");
    2307. 

  2307. },
    2308. 

  2308. endPattern: function(e) {
    2309. 

  2309. return new RegExp(this.patternQuote(e) + "|\\\\.|[{}]", "g");
    2310. 

  2310. },
    2311. 

  2311. sortLength: function(e, t) {
    2312. 

  2312. return e.length !== t.length ? t.length - e.length : e == t ? 0 : e < t ? -1 : 1;
    2313. 

  2313. },
    2314. 

  2314. scanElement: function(e, t, n) {
    2315. 

  2315. var r, i, s, o;
    2316. 

  2316. while (e && e != t) e.nodeName.toLowerCase() === "#text" ? n || (e = this.scanText(e)) : (r = typeof e.className == "undefined" ? "" : e.className, i = typeof e.tagName == "undefined" ? "" : e.tagName, typeof r != "string" && (r = String(r)), o = this.processClass.exec(r), e.firstChild && !r.match(/(^| )MathJax/) && (o || !this.skipTags.exec(i)) && (s = (n || this.ignoreClass.exec(r)) && !o, this.scanElement(e.firstChild, t, s))), e && (e = e.nextSibling);
    2317. 

  2317. },
    2318. 

  2318. scanText: function(e) {
    2319. 

  2319. if (e.nodeValue.replace(/\s+/, "") == "") return e;
    2320. 

  2320. var t, n;
    2321. 

  2321. this.search = {
    2322. 

  2322. start: !0
    2323. 

  2323. }, this.pattern = this.start;
    2324. 

  2324. while (e) {
    2325. 

  2325. this.pattern.lastIndex = 0;
    2326. 

  2326. while (e && e.nodeName.toLowerCase() === "#text" && (t = this.pattern.exec(e.nodeValue))) this.search.start ? e = this.startMatch(t, e) : e = this.endMatch(t, e);
    2327. 

  2327. this.search.matched && (e = this.encloseMath(e));
    2328. 

  2328. if (e) {
    2329. 

  2329. do n = e, e = e.nextSibling; while (e && (e.nodeName.toLowerCase() === "br" || e.nodeName.toLowerCase() === "#comment"));
    2330. 

  2330. if (!e || e.nodeName !== "#text") return this.search.close ? this.prevEndMatch() : n;
    2331. 

  2331. }
    2332. 

  2332. }
    2333. 

  2333. return e;
    2334. 

  2334. },
    2335. 

  2335. startMatch: function(e, t) {
    2336. 

  2336. var n = this.match[e[0]];
    2337. 

  2337. if (n != null) this.search = {
    2338. 

  2338. end: n.end,
    2339. 

  2339. mode: n.mode,
    2340. 

  2340. pcount: 0,
    2341. 

  2341. open: t,
    2342. 

  2342. olen: e[0].length,
    2343. 

  2343. opos: this.pattern.lastIndex - e[0].length
    2344. 

  2344. }, this.switchPattern(n.pattern); else if (e[0].substr(0, 6) === "\\begin") this.search = {
    2345. 

  2345. end: "\\end{" + e[1] + "}",
    2346. 

  2346. mode: "; mode=display",
    2347. 

  2347. pcount: 0,
    2348. 

  2348. open: t,
    2349. 

  2349. olen: 0,
    2350. 

  2350. opos: this.pattern.lastIndex - e[0].length,
    2351. 

  2351. isBeginEnd: !0
    2352. 

  2352. }, this.switchPattern(this.endPattern(this.search.end)); else {
    2353. 

  2353. if (e[0].substr(0, 4) === "\\ref" || e[0].substr(0, 6) === "\\eqref") return this.search = {
    2354. 

  2354. mode: "",
    2355. 

  2355. end: "",
    2356. 

  2356. open: t,
    2357. 

  2357. pcount: 0,
    2358. 

  2358. olen: 0,
    2359. 

  2359. opos: this.pattern.lastIndex - e[0].length
    2360. 

  2360. }, this.endMatch([ "" ], t);
    2361. 

  2361. var r = e[0].substr(0, e[0].length - 1), i, s;
    2362. 

  2362. r.length % 2 === 0 ? (s = [ r.replace(/\\\\/g, "\\") ], i = 1) : (s = [ r.substr(1).replace(/\\\\/g, "\\"), "$" ], i = 0), s = MathJax.HTML.Element("span", null, s);
    2363. 

  2363. var o = MathJax.HTML.TextNode(t.nodeValue.substr(0, e.index));
    2364. 

  2364. t.nodeValue = t.nodeValue.substr(e.index + e[0].length - i), t.parentNode.insertBefore(s, t), t.parentNode.insertBefore(o, s), this.pattern.lastIndex = i;
    2365. 

  2365. }
    2366. 

  2366. return t;
    2367. 

  2367. },
    2368. 

  2368. endMatch: function(e, t) {
    2369. 

  2369. var n = this.search;
    2370. 

  2370. if (e[0] == n.end) {
    2371. 

  2371. if (!n.close || n.pcount === 0) n.close = t, n.cpos = this.pattern.lastIndex, n.clen = n.isBeginEnd ? 0 : e[0].length;
    2372. 

  2372. n.pcount === 0 && (n.matched = !0, t = this.encloseMath(t), this.switchPattern(this.start));
    2373. 

  2373. } else e[0] === "{" ? n.pcount++ : e[0] === "}" && n.pcount && n.pcount--;
    2374. 

  2374. return t;
    2375. 

  2375. },
    2376. 

  2376. prevEndMatch: function() {
    2377. 

  2377. this.search.matched = !0;
    2378. 

  2378. var e = this.encloseMath(this.search.close);
    2379. 

  2379. return this.switchPattern(this.start), e;
    2380. 

  2380. },
    2381. 

  2381. switchPattern: function(e) {
    2382. 

  2382. e.lastIndex = this.pattern.lastIndex, this.pattern = e, this.search.start = e === this.start;
    2383. 

  2383. },
    2384. 

  2384. encloseMath: function(e) {
    2385. 

  2385. var t = this.search, n = t.close, r, i;
    2386. 

  2386. t.cpos === n.length ? n = n.nextSibling : n = n.splitText(t.cpos), n || (r = n = MathJax.HTML.addText(t.close.parentNode, "")), t.close = n, i = t.opos ? t.open.splitText(t.opos) : t.open;
    2387. 

  2387. while (i.nextSibling && i.nextSibling !== n) i.nextSibling.nodeValue !== null ? i.nextSibling.nodeName === "#comment" ? i.nodeValue += i.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/, "$1") : i.nodeValue += i.nextSibling.nodeValue : this.msieNewlineBug ? i.nodeValue += i.nextSibling.nodeName.toLowerCase() === "br" ? "\n" : " " : i.nodeValue += " ", i.parentNode.removeChild(i.nextSibling);
    2388. 

  2388. var s = i.nodeValue.substr(t.olen, i.nodeValue.length - t.olen - t.clen);
    2389. 

  2389. return i.parentNode.removeChild(i), this.config.preview !== "none" && this.createPreview(t.mode, s), i = this.createMathTag(t.mode, s), this.search = {}, this.pattern.lastIndex = 0, r && r.parentNode.removeChild(r), i;
    2390. 

  2390. },
    2391. 

  2391. insertNode: function(e) {
    2392. 

  2392. var t = this.search;
    2393. 

  2393. t.close.parentNode.insertBefore(e, t.close);
    2394. 

  2394. },
    2395. 

  2395. createPreview: function(e, t) {
    2396. 

  2396. var n;
    2397. 

  2397. this.config.preview === "TeX" ? n = [ this.filterPreview(t) ] : this.config.preview instanceof Array && (n = this.config.preview), n && (n = MathJax.HTML.Element("span", {
    2398. 

  2398. className: MathJax.Hub.config.preRemoveClass
    2399. 

  2399. }, n), this.insertNode(n));
    2400. 

  2400. },
    2401. 

  2401. createMathTag: function(e, t) {
    2402. 

  2402. var n = document.createElement("script");
    2403. 

  2403. return n.type = "math/tex" + e, MathJax.HTML.setScript(n, t), this.insertNode(n), n;
    2404. 

  2404. },
    2405. 

  2405. filterPreview: function(e) {
    2406. 

  2406. return e;
    2407. 

  2407. },
    2408. 

  2408. msieNewlineBug: MathJax.Hub.Browser.isMSIE && document.documentMode < 9
    2409. 

  2409. }, MathJax.Hub.Register.PreProcessor([ "PreProcess", MathJax.Extension.tex2jax ]), MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js"), MathJax.ElementJax.mml = MathJax.ElementJax({
    2410. 

  2410. mimeType: "jax/mml"
    2411. 

  2411. }, {
    2412. 

  2412. id: "mml",
    2413. 

  2413. version: "2.1",
    2414. 

  2414. directory: MathJax.ElementJax.directory + "/mml",
    2415. 

  2415. extensionDir: MathJax.ElementJax.extensionDir + "/mml",
    2416. 

  2416. optableDir: MathJax.ElementJax.directory + "/mml/optable"
    2417. 

  2417. }), MathJax.ElementJax.mml.Augment({
    2418. 

  2418. Init: function() {
    2419. 

  2419. arguments.length === 1 && arguments[0].type === "math" ? this.root = arguments[0] : this.root = MathJax.ElementJax.mml.math.apply(this, arguments);
    2420. 

  2420. if (this.root.attr && this.root.attr.mode) {
    2421. 

  2421. !this.root.display && this.root.attr.mode === "display" && (this.root.display = "block", this.root.attrNames.push("display")), delete this.root.attr.mode;
    2422. 

  2422. for (var e = 0, t = this.root.attrNames.length; e < t; e++) if (this.root.attrNames[e] === "mode") {
    2423. 

  2423. this.root.attrNames.splice(e, 1);
    2424. 

  2424. break;
    2425. 

  2425. }
    2426. 

  2426. }
    2427. 

  2427. }
    2428. 

  2428. }, {
    2429. 

  2429. INHERIT: "_inherit_",
    2430. 

  2430. AUTO: "_auto_",
    2431. 

  2431. SIZE: {
    2432. 

  2432. INFINITY: "infinity",
    2433. 

  2433. SMALL: "small",
    2434. 

  2434. NORMAL: "normal",
    2435. 

  2435. BIG: "big"
    2436. 

  2436. },
    2437. 

  2437. COLOR: {
    2438. 

  2438. TRANSPARENT: "transparent"
    2439. 

  2439. },
    2440. 

  2440. VARIANT: {
    2441. 

  2441. NORMAL: "normal",
    2442. 

  2442. BOLD: "bold",
    2443. 

  2443. ITALIC: "italic",
    2444. 

  2444. BOLDITALIC: "bold-italic",
    2445. 

  2445. DOUBLESTRUCK: "double-struck",
    2446. 

  2446. FRAKTUR: "fraktur",
    2447. 

  2447. BOLDFRAKTUR: "bold-fraktur",
    2448. 

  2448. SCRIPT: "script",
    2449. 

  2449. BOLDSCRIPT: "bold-script",
    2450. 

  2450. SANSSERIF: "sans-serif",
    2451. 

  2451. BOLDSANSSERIF: "bold-sans-serif",
    2452. 

  2452. SANSSERIFITALIC: "sans-serif-italic",
    2453. 

  2453. SANSSERIFBOLDITALIC: "sans-serif-bold-italic",
    2454. 

  2454. MONOSPACE: "monospace",
    2455. 

  2455. INITIAL: "inital",
    2456. 

  2456. TAILED: "tailed",
    2457. 

  2457. LOOPED: "looped",
    2458. 

  2458. STRETCHED: "stretched",
    2459. 

  2459. CALIGRAPHIC: "-tex-caligraphic",
    2460. 

  2460. OLDSTYLE: "-tex-oldstyle"
    2461. 

  2461. },
    2462. 

  2462. FORM: {
    2463. 

  2463. PREFIX: "prefix",
    2464. 

  2464. INFIX: "infix",
    2465. 

  2465. POSTFIX: "postfix"
    2466. 

  2466. },
    2467. 

  2467. LINEBREAK: {
    2468. 

  2468. AUTO: "auto",
    2469. 

  2469. NEWLINE: "newline",
    2470. 

  2470. NOBREAK: "nobreak",
    2471. 

  2471. GOODBREAK: "goodbreak",
    2472. 

  2472. BADBREAK: "badbreak"
    2473. 

  2473. },
    2474. 

  2474. LINEBREAKSTYLE: {
    2475. 

  2475. BEFORE: "before",
    2476. 

  2476. AFTER: "after",
    2477. 

  2477. DUPLICATE: "duplicate",
    2478. 

  2478. INFIXLINBREAKSTYLE: "infixlinebreakstyle"
    2479. 

  2479. },
    2480. 

  2480. INDENTALIGN: {
    2481. 

  2481. LEFT: "left",
    2482. 

  2482. CENTER: "center",
    2483. 

  2483. RIGHT: "right",
    2484. 

  2484. AUTO: "auto",
    2485. 

  2485. ID: "id",
    2486. 

  2486. INDENTALIGN: "indentalign"
    2487. 

  2487. },
    2488. 

  2488. INDENTSHIFT: {
    2489. 

  2489. INDENTSHIFT: "indentshift"
    2490. 

  2490. },
    2491. 

  2491. LINETHICKNESS: {
    2492. 

  2492. THIN: "thin",
    2493. 

  2493. MEDIUM: "medium",
    2494. 

  2494. THICK: "thick"
    2495. 

  2495. },
    2496. 

  2496. NOTATION: {
    2497. 

  2497. LONGDIV: "longdiv",
    2498. 

  2498. ACTUARIAL: "actuarial",
    2499. 

  2499. RADICAL: "radical",
    2500. 

  2500. BOX: "box",
    2501. 

  2501. ROUNDEDBOX: "roundedbox",
    2502. 

  2502. CIRCLE: "circle",
    2503. 

  2503. LEFT: "left",
    2504. 

  2504. RIGHT: "right",
    2505. 

  2505. TOP: "top",
    2506. 

  2506. BOTTOM: "bottom",
    2507. 

  2507. UPDIAGONALSTRIKE: "updiagonalstrike",
    2508. 

  2508. DOWNDIAGONALSTRIKE: "downdiagonalstrike",
    2509. 

  2509. VERTICALSTRIKE: "verticalstrike",
    2510. 

  2510. HORIZONTALSTRIKE: "horizontalstrike",
    2511. 

  2511. MADRUWB: "madruwb"
    2512. 

  2512. },
    2513. 

  2513. ALIGN: {
    2514. 

  2514. TOP: "top",
    2515. 

  2515. BOTTOM: "bottom",
    2516. 

  2516. CENTER: "center",
    2517. 

  2517. BASELINE: "baseline",
    2518. 

  2518. AXIS: "axis",
    2519. 

  2519. LEFT: "left",
    2520. 

  2520. RIGHT: "right"
    2521. 

  2521. },
    2522. 

  2522. LINES: {
    2523. 

  2523. NONE: "none",
    2524. 

  2524. SOLID: "solid",
    2525. 

  2525. DASHED: "dashed"
    2526. 

  2526. },
    2527. 

  2527. SIDE: {
    2528. 

  2528. LEFT: "left",
    2529. 

  2529. RIGHT: "right",
    2530. 

  2530. LEFTOVERLAP: "leftoverlap",
    2531. 

  2531. RIGHTOVERLAP: "rightoverlap"
    2532. 

  2532. },
    2533. 

  2533. WIDTH: {
    2534. 

  2534. AUTO: "auto",
    2535. 

  2535. FIT: "fit"
    2536. 

  2536. },
    2537. 

  2537. ACTIONTYPE: {
    2538. 

  2538. TOGGLE: "toggle",
    2539. 

  2539. STATUSLINE: "statusline",
    2540. 

  2540. TOOLTIP: "tooltip",
    2541. 

  2541. INPUT: "input"
    2542. 

  2542. },
    2543. 

  2543. LENGTH: {
    2544. 

  2544. VERYVERYTHINMATHSPACE: "veryverythinmathspace",
    2545. 

  2545. VERYTHINMATHSPACE: "verythinmathspace",
    2546. 

  2546. THINMATHSPACE: "thinmathspace",
    2547. 

  2547. MEDIUMMATHSPACE: "mediummathspace",
    2548. 

  2548. THICKMATHSPACE: "thickmathspace",
    2549. 

  2549. VERYTHICKMATHSPACE: "verythickmathspace",
    2550. 

  2550. VERYVERYTHICKMATHSPACE: "veryverythickmathspace",
    2551. 

  2551. NEGATIVEVERYVERYTHINMATHSPACE: "negativeveryverythinmathspace",
    2552. 

  2552. NEGATIVEVERYTHINMATHSPACE: "negativeverythinmathspace",
    2553. 

  2553. NEGATIVETHINMATHSPACE: "negativethinmathspace",
    2554. 

  2554. NEGATIVEMEDIUMMATHSPACE: "negativemediummathspace",
    2555. 

  2555. NEGATIVETHICKMATHSPACE: "negativethickmathspace",
    2556. 

  2556. NEGATIVEVERYTHICKMATHSPACE: "negativeverythickmathspace",
    2557. 

  2557. NEGATIVEVERYVERYTHICKMATHSPACE: "negativeveryverythickmathspace"
    2558. 

  2558. },
    2559. 

  2559. OVERFLOW: {
    2560. 

  2560. LINBREAK: "linebreak",
    2561. 

  2561. SCROLL: "scroll",
    2562. 

  2562. ELIDE: "elide",
    2563. 

  2563. TRUNCATE: "truncate",
    2564. 

  2564. SCALE: "scale"
    2565. 

  2565. },
    2566. 

  2566. UNIT: {
    2567. 

  2567. EM: "em",
    2568. 

  2568. EX: "ex",
    2569. 

  2569. PX: "px",
    2570. 

  2570. IN: "in",
    2571. 

  2571. CM: "cm",
    2572. 

  2572. MM: "mm",
    2573. 

  2573. PT: "pt",
    2574. 

  2574. PC: "pc"
    2575. 

  2575. },
    2576. 

  2576. TEXCLASS: {
    2577. 

  2577. ORD: 0,
    2578. 

  2578. OP: 1,
    2579. 

  2579. BIN: 2,
    2580. 

  2580. REL: 3,
    2581. 

  2581. OPEN: 4,
    2582. 

  2582. CLOSE: 5,
    2583. 

  2583. PUNCT: 6,
    2584. 

  2584. INNER: 7,
    2585. 

  2585. VCENTER: 8,
    2586. 

  2586. NONE: -1
    2587. 

  2587. },
    2588. 

  2588. TEXCLASSNAMES: [ "ORD", "OP", "BIN", "REL", "OPEN", "CLOSE", "PUNCT", "INNER", "VCENTER" ],
    2589. 

  2589. copyAttributes: {
    2590. 

  2590. fontfamily: !0,
    2591. 

  2591. fontsize: !0,
    2592. 

  2592. fontweight: !0,
    2593. 

  2593. fontstyle: !0,
    2594. 

  2594. color: !0,
    2595. 

  2595. background: !0,
    2596. 

  2596. id: !0,
    2597. 

  2597. "class": !0,
    2598. 

  2598. href: !0,
    2599. 

  2599. style: !0
    2600. 

  2600. },
    2601. 

  2601. skipAttributes: {
    2602. 

  2602. texClass: !0,
    2603. 

  2603. useHeight: !0,
    2604. 

  2604. texprimestyle: !0
    2605. 

  2605. },
    2606. 

  2606. copyAttributeNames: [ "fontfamily", "fontsize", "fontweight", "fontstyle", "color", "background", "id", "class", "href", "style" ]
    2607. 

  2607. }), function(e) {
    2608. 

  2608. e.mbase = MathJax.Object.Subclass({
    2609. 

  2609. type: "base",
    2610. 

  2610. isToken: !1,
    2611. 

  2611. defaults: {
    2612. 

  2612. mathbackground: e.INHERIT,
    2613. 

  2613. mathcolor: e.INHERIT
    2614. 

  2614. },
    2615. 

  2615. noInherit: {},
    2616. 

  2616. noInheritAttribute: {
    2617. 

  2617. texClass: !0
    2618. 

  2618. },
    2619. 

  2619. linebreakContainer: !1,
    2620. 

  2620. Init: function() {
    2621. 

  2621. this.data = [], this.inferRow && (arguments.length !== 1 || !arguments[0].inferred) && this.Append(e.mrow().With({
    2622. 

  2622. inferred: !0
    2623. 

  2623. })), this.Append.apply(this, arguments);
    2624. 

  2624. },
    2625. 

  2625. With: function(e) {
    2626. 

  2626. for (var t in e) e.hasOwnProperty(t) && (this[t] = e[t]);
    2627. 

  2627. return this;
    2628. 

  2628. },
    2629. 

  2629. Append: function() {
    2630. 

  2630. if (this.inferRow && this.data.length) this.data[0].Append.apply(this.data[0], arguments); else for (var e = 0, t = arguments.length; e < t; e++) this.SetData(this.data.length, arguments[e]);
    2631. 

  2631. },
    2632. 

  2632. SetData: function(t, n) {
    2633. 

  2633. n != null && (n instanceof e.mbase || (n = this.isToken ? e.chars(n) : e.mtext(n)), n.parent = this, n.setInherit(this.inheritFromMe ? this : this.inherit)), this.data[t] = n;
    2634. 

  2634. },
    2635. 

  2635. Parent: function() {
    2636. 

  2636. var e = this.parent;
    2637. 

  2637. while (e && e.inferred) e = e.parent;
    2638. 

  2638. return e;
    2639. 

  2639. },
    2640. 

  2640. Get: function(t, n) {
    2641. 

  2641. if (this[t] != null) return this[t];
    2642. 

  2642. if (this.attr && this.attr[t] != null) return this.attr[t];
    2643. 

  2643. var r = this.Parent();
    2644. 

  2644. if (r && r["adjustChild_" + t] != null) return r["adjustChild_" + t](r.childPosition(this));
    2645. 

  2645. var i = this.inherit, s = i;
    2646. 

  2646. while (i) {
    2647. 

  2647. var o = i[t];
    2648. 

  2648. o == null && i.attr && (o = i.attr[t]);
    2649. 

  2649. if (o != null && !i.noInheritAttribute[t]) {
    2650. 

  2650. var u = i.noInherit[this.type];
    2651. 

  2651. if (!u || !u[t]) return o;
    2652. 

  2652. }
    2653. 

  2653. s = i, i = i.inherit;
    2654. 

  2654. }
    2655. 

  2655. if (!n) {
    2656. 

  2656. if (this.defaults[t] === e.AUTO) return this.autoDefault(t);
    2657. 

  2657. if (this.defaults[t] !== e.INHERIT && this.defaults[t] != null) return this.defaults[t];
    2658. 

  2658. if (s) return s.defaults[t];
    2659. 

  2659. }
    2660. 

  2660. return null;
    2661. 

  2661. },
    2662. 

  2662. hasValue: function(e) {
    2663. 

  2663. return this.Get(e, true) != null;
    2664. 

  2664. },
    2665. 

  2665. getValues: function() {
    2666. 

  2666. var e = {};
    2667. 

  2667. for (var t = 0, n = arguments.length; t < n; t++) e[arguments[t]] = this.Get(arguments[t]);
    2668. 

  2668. return e;
    2669. 

  2669. },
    2670. 

  2670. adjustChild_scriptlevel: function(e) {
    2671. 

  2671. return this.Get("scriptlevel");
    2672. 

  2672. },
    2673. 

  2673. adjustChild_displaystyle: function(e) {
    2674. 

  2674. return this.Get("displaystyle");
    2675. 

  2675. },
    2676. 

  2676. adjustChild_texprimestyle: function(e) {
    2677. 

  2677. return this.Get("texprimestyle");
    2678. 

  2678. },
    2679. 

  2679. childPosition: function(e) {
    2680. 

  2680. e.parent.inferred && (e = e.parent);
    2681. 

  2681. for (var t = 0, n = this.data.length; t < n; t++) if (this.data[t] === e) return t;
    2682. 

  2682. return null;
    2683. 

  2683. },
    2684. 

  2684. setInherit: function(e) {
    2685. 

  2685. if (e !== this.inherit && this.inherit == null) {
    2686. 

  2686. this.inherit = e;
    2687. 

  2687. for (var t = 0, n = this.data.length; t < n; t++) this.data[t] && this.data[t].setInherit && this.data[t].setInherit(e);
    2688. 

  2688. }
    2689. 

  2689. },
    2690. 

  2690. setTeXclass: function(e) {
    2691. 

  2691. return this.getPrevClass(e), typeof this.texClass != "undefined" ? this : e;
    2692. 

  2692. },
    2693. 

  2693. getPrevClass: function(e) {
    2694. 

  2694. e && (this.prevClass = e.Get("texClass"), this.prevLevel = e.Get("scriptlevel"));
    2695. 

  2695. },
    2696. 

  2696. updateTeXclass: function(e) {
    2697. 

  2697. e && (this.prevClass = e.prevClass, delete e.prevClass, this.prevLevel = e.prevLevel, delete e.prevLevel, this.texClass = e.Get("texClass"));
    2698. 

  2698. },
    2699. 

  2699. texSpacing: function() {
    2700. 

  2700. var t = this.prevClass != null ? this.prevClass : e.TEXCLASS.NONE, n = this.Get("texClass") || e.TEXCLASS.ORD;
    2701. 

  2701. if (t === e.TEXCLASS.NONE || n === e.TEXCLASS.NONE) return "";
    2702. 

  2702. t === e.TEXCLASS.VCENTER && (t = e.TEXCLASS.ORD), n === e.TEXCLASS.VCENTER && (n = e.TEXCLASS.ORD);
    2703. 

  2703. var r = this.TEXSPACE[t][n];
    2704. 

  2704. return this.prevLevel > 0 && this.Get("scriptlevel") > 0 && r >= 0 ? "" : this.TEXSPACELENGTH[Math.abs(r)];
    2705. 

  2705. },
    2706. 

  2706. TEXSPACELENGTH: [ "", e.LENGTH.THINMATHSPACE, e.LENGTH.MEDIUMMATHSPACE, e.LENGTH.THICKMATHSPACE ],
    2707. 

  2707. TEXSPACE: [ [ 0, -1, 2, 3, 0, 0, 0, 1 ], [ -1, -1, 0, 3, 0, 0, 0, 1 ], [ 2, 2, 0, 0, 2, 0, 0, 2 ], [ 3, 3, 0, 0, 3, 0, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, 2, 3, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 1, 1, 1 ], [ 1, -1, 2, 3, 1, 0, 1, 1 ] ],
    2708. 

  2708. autoDefault: function(e) {
    2709. 

  2709. return "";
    2710. 

  2710. },
    2711. 

  2711. isSpacelike: function() {
    2712. 

  2712. return !1;
    2713. 

  2713. },
    2714. 

  2714. isEmbellished: function() {
    2715. 

  2715. return !1;
    2716. 

  2716. },
    2717. 

  2717. Core: function() {
    2718. 

  2718. return this;
    2719. 

  2719. },
    2720. 

  2720. CoreMO: function() {
    2721. 

  2721. return this;
    2722. 

  2722. },
    2723. 

  2723. hasNewline: function() {
    2724. 

  2724. if (this.isEmbellished()) return this.CoreMO().hasNewline();
    2725. 

  2725. if (this.isToken || this.linebreakContainer) return !1;
    2726. 

  2726. for (var e = 0, t = this.data.length; e < t; e++) if (this.data[e] && this.data[e].hasNewline()) return !0;
    2727. 

  2727. return !1;
    2728. 

  2728. },
    2729. 

  2729. array: function() {
    2730. 

  2730. return this.inferred ? this.data : [ this ];
    2731. 

  2731. },
    2732. 

  2732. toString: function() {
    2733. 

  2733. return this.type + "(" + this.data.join(",") + ")";
    2734. 

  2734. }
    2735. 

  2735. }, {
    2736. 

  2736. childrenSpacelike: function() {
    2737. 

  2737. for (var e = 0, t = this.data.length; e < t; e++) if (!this.data[e].isSpacelike()) return !1;
    2738. 

  2738. return !0;
    2739. 

  2739. },
    2740. 

  2740. childEmbellished: function() {
    2741. 

  2741. return this.data[0] && this.data[0].isEmbellished();
    2742. 

  2742. },
    2743. 

  2743. childCore: function() {
    2744. 

  2744. return this.data[0];
    2745. 

  2745. },
    2746. 

  2746. childCoreMO: function() {
    2747. 

  2747. return this.data[0] ? this.data[0].CoreMO() : null;
    2748. 

  2748. },
    2749. 

  2749. setChildTeXclass: function(e) {
    2750. 

  2750. return this.data[0] && (e = this.data[0].setTeXclass(e), this.updateTeXclass(this.data[0])), e;
    2751. 

  2751. },
    2752. 

  2752. setBaseTeXclasses: function(t) {
    2753. 

  2753. this.getPrevClass(t), this.texClass = null, this.isEmbellished() || this.data[0].isa(e.mi) ? (t = this.data[0].setTeXclass(t), this.updateTeXclass(this.Core())) : (this.data[0] && this.data[0].setTeXclass(), t = this);
    2754. 

  2754. for (var n = 1, r = this.data.length; n < r; n++) this.data[n] && this.data[n].setTeXclass();
    2755. 

  2755. return t;
    2756. 

  2756. },
    2757. 

  2757. setSeparateTeXclasses: function(e) {
    2758. 

  2758. this.getPrevClass(e);
    2759. 

  2759. for (var t = 0, n = this.data.length; t < n; t++) this.data[t] && this.data[t].setTeXclass();
    2760. 

  2760. return this.isEmbellished() && this.updateTeXclass(this.Core()), this;
    2761. 

  2761. }
    2762. 

  2762. }), e.mi = e.mbase.Subclass({
    2763. 

  2763. type: "mi",
    2764. 

  2764. isToken: !0,
    2765. 

  2765. texClass: e.TEXCLASS.ORD,
    2766. 

  2766. defaults: {
    2767. 

  2767. mathvariant: e.AUTO,
    2768. 

  2768. mathsize: e.INHERIT,
    2769. 

  2769. mathbackground: e.INHERIT,
    2770. 

  2770. mathcolor: e.INHERIT
    2771. 

  2771. },
    2772. 

  2772. autoDefault: function(t) {
    2773. 

  2773. if (t === "mathvariant") {
    2774. 

  2774. var n = (this.data[0] || "").toString();
    2775. 

  2775. return n.length === 1 || n.length === 2 && n.charCodeAt(0) >= 55296 && n.charCodeAt(0) < 56320 ? e.VARIANT.ITALIC : e.VARIANT.NORMAL;
    2776. 

  2776. }
    2777. 

  2777. return "";
    2778. 

  2778. },
    2779. 

  2779. setTeXclass: function(t) {
    2780. 

  2780. this.getPrevClass(t);
    2781. 

  2781. var n = this.data.join("");
    2782. 

  2782. return n.length > 1 && n.match(/^[a-z][a-z0-9]*$/i) && this.texClass === e.TEXCLASS.ORD && (this.texClass = e.TEXCLASS.OP, this.autoOP = !0), this;
    2783. 

  2783. }
    2784. 

  2784. }), e.mn = e.mbase.Subclass({
    2785. 

  2785. type: "mn",
    2786. 

  2786. isToken: !0,
    2787. 

  2787. texClass: e.TEXCLASS.ORD,
    2788. 

  2788. defaults: {
    2789. 

  2789. mathvariant: e.INHERIT,
    2790. 

  2790. mathsize: e.INHERIT,
    2791. 

  2791. mathbackground: e.INHERIT,
    2792. 

  2792. mathcolor: e.INHERIT
    2793. 

  2793. }
    2794. 

  2794. }), e.mo = e.mbase.Subclass({
    2795. 

  2795. type: "mo",
    2796. 

  2796. isToken: !0,
    2797. 

  2797. defaults: {
    2798. 

  2798. mathvariant: e.INHERIT,
    2799. 

  2799. mathsize: e.INHERIT,
    2800. 

  2800. mathbackground: e.INHERIT,
    2801. 

  2801. mathcolor: e.INHERIT,
    2802. 

  2802. form: e.AUTO,
    2803. 

  2803. fence: e.AUTO,
    2804. 

  2804. separator: e.AUTO,
    2805. 

  2805. lspace: e.AUTO,
    2806. 

  2806. rspace: e.AUTO,
    2807. 

  2807. stretchy: e.AUTO,
    2808. 

  2808. symmetric: e.AUTO,
    2809. 

  2809. maxsize: e.AUTO,
    2810. 

  2810. minsize: e.AUTO,
    2811. 

  2811. largeop: e.AUTO,
    2812. 

  2812. movablelimits: e.AUTO,
    2813. 

  2813. accent: e.AUTO,
    2814. 

  2814. linebreak: e.LINEBREAK.AUTO,
    2815. 

  2815. lineleading: e.INHERIT,
    2816. 

  2816. linebreakstyle: e.AUTO,
    2817. 

  2817. linebreakmultchar: e.INHERIT,
    2818. 

  2818. indentalign: e.INHERIT,
    2819. 

  2819. indentshift: e.INHERIT,
    2820. 

  2820. indenttarget: e.INHERIT,
    2821. 

  2821. indentalignfirst: e.INHERIT,
    2822. 

  2822. indentshiftfirst: e.INHERIT,
    2823. 

  2823. indentalignlast: e.INHERIT,
    2824. 

  2824. indentshiftlast: e.INHERIT,
    2825. 

  2825. texClass: e.AUTO
    2826. 

  2826. },
    2827. 

  2827. defaultDef: {
    2828. 

  2828. form: e.FORM.INFIX,
    2829. 

  2829. fence: !1,
    2830. 

  2830. separator: !1,
    2831. 

  2831. lspace: e.LENGTH.THICKMATHSPACE,
    2832. 

  2832. rspace: e.LENGTH.THICKMATHSPACE,
    2833. 

  2833. stretchy: !1,
    2834. 

  2834. symmetric: !0,
    2835. 

  2835. maxsize: e.SIZE.INFINITY,
    2836. 

  2836. minsize: "0em",
    2837. 

  2837. largeop: !1,
    2838. 

  2838. movablelimits: !1,
    2839. 

  2839. accent: !1,
    2840. 

  2840. linebreak: e.LINEBREAK.AUTO,
    2841. 

  2841. lineleading: "1ex",
    2842. 

  2842. linebreakstyle: "before",
    2843. 

  2843. indentalign: e.INDENTALIGN.AUTO,
    2844. 

  2844. indentshift: "0",
    2845. 

  2845. indenttarget: "",
    2846. 

  2846. indentalignfirst: e.INDENTALIGN.INDENTALIGN,
    2847. 

  2847. indentshiftfirst: e.INDENTSHIFT.INDENTSHIFT,
    2848. 

  2848. indentalignlast: e.INDENTALIGN.INDENTALIGN,
    2849. 

  2849. indentshiftlast: e.INDENTSHIFT.INDENTSHIFT,
    2850. 

  2850. texClass: e.TEXCLASS.REL
    2851. 

  2851. },
    2852. 

  2852. SPACE_ATTR: {
    2853. 

  2853. lspace: 1,
    2854. 

  2854. rspace: 2,
    2855. 

  2855. form: 4
    2856. 

  2856. },
    2857. 

  2857. useMMLspacing: 7,
    2858. 

  2858. autoDefault: function(t, n) {
    2859. 

  2859. var r = this.def;
    2860. 

  2860. if (!r) {
    2861. 

  2861. if (t === "form") return this.useMMLspacing &= ~this.SPACE_ATTR.form, this.getForm();
    2862. 

  2862. var i = this.data.join(""), s = [ this.Get("form"), e.FORM.INFIX, e.FORM.POSTFIX, e.FORM.PREFIX ];
    2863. 

  2863. for (var o = 0, u = s.length; o < u; o++) {
    2864. 

  2864. var f = this.OPTABLE[s[o]][i];
    2865. 

  2865. if (f) {
    2866. 

  2866. r = this.makeDef(f);
    2867. 

  2867. break;
    2868. 

  2868. }
    2869. 

  2869. }
    2870. 

  2870. r || (r = this.CheckRange(i)), !r && n ? r = {} : (r || (r = MathJax.Hub.Insert({}, this.defaultDef)), r.form = s[0], this.def = r);
    2871. 

  2871. }
    2872. 

  2872. return this.useMMLspacing &= ~(this.SPACE_ATTR[t] || 0), r[t] != null ? r[t] : n ? "" : this.defaultDef[t];
    2873. 

  2873. },
    2874. 

  2874. CheckRange: function(t) {
    2875. 

  2875. var n = t.charCodeAt(0);
    2876. 

  2876. n >= 55296 && n < 56320 && (n = (n - 55296 << 10) + (t.charCodeAt(1) - 56320) + 65536);
    2877. 

  2877. for (var r = 0, i = this.RANGES.length; r < i && this.RANGES[r][0] <= n; r++) if (n <= this.RANGES[r][1]) {
    2878. 

  2878. if (this.RANGES[r][3]) {
    2879. 

  2879. var s = e.optableDir + "/" + this.RANGES[r][3] + ".js";
    2880. 

  2880. this.RANGES[r][3] = null, MathJax.Hub.RestartAfter(MathJax.Ajax.Require(s));
    2881. 

  2881. }
    2882. 

  2882. var o = e.TEXCLASSNAMES[this.RANGES[r][2]];
    2883. 

  2883. return o = this.OPTABLE.infix[t] = e.mo.OPTYPES[o === "BIN" ? "BIN3" : o], this.makeDef(o);
    2884. 

  2884. }
    2885. 

  2885. return null;
    2886. 

  2886. },
    2887. 

  2887. makeDef: function(t) {
    2888. 

  2888. t[2] == null && (t[2] = this.defaultDef.texClass), t[3] || (t[3] = {});
    2889. 

  2889. var n = MathJax.Hub.Insert({}, t[3]);
    2890. 

  2890. return n.lspace = this.SPACE[t[0]], n.rspace = this.SPACE[t[1]], n.texClass = t[2], n.texClass === e.TEXCLASS.REL && (this.movablelimits || this.data.join("").match(/^[a-z]+$/i)) && (n.texClass = e.TEXCLASS.OP), n;
    2891. 

  2891. },
    2892. 

  2892. getForm: function() {
    2893. 

  2893. var t = this, n = this.parent, r = this.Parent();
    2894. 

  2894. while (r && r.isEmbellished()) t = n, n = r.parent, r = r.Parent();
    2895. 

  2895. if (n && n.type === "mrow" && n.NonSpaceLength() !== 1) {
    2896. 

  2896. if (n.FirstNonSpace() === t) return e.FORM.PREFIX;
    2897. 

  2897. if (n.LastNonSpace() === t) return e.FORM.POSTFIX;
    2898. 

  2898. }
    2899. 

  2899. return e.FORM.INFIX;
    2900. 

  2900. },
    2901. 

  2901. isEmbellished: function() {
    2902. 

  2902. return !0;
    2903. 

  2903. },
    2904. 

  2904. hasNewline: function() {
    2905. 

  2905. return this.Get("linebreak") === e.LINEBREAK.NEWLINE;
    2906. 

  2906. },
    2907. 

  2907. setTeXclass: function(t) {
    2908. 

  2908. return this.getValues("lspace", "rspace"), this.useMMLspacing ? (this.texClass = e.TEXCLASS.NONE, this) : (this.texClass = this.Get("texClass"), this.data.join("") === "\u2061" ? (t.texClass = e.TEXCLASS.OP, this.texClass = this.prevClass = e.TEXCLASS.NONE, t) : this.adjustTeXclass(t));
    2909. 

  2909. },
    2910. 

  2910. adjustTeXclass: function(t) {
    2911. 

  2911. return this.texClass === e.TEXCLASS.NONE ? t : (t ? (t.autoOP && (this.texClass === e.TEXCLASS.BIN || this.texClass === e.TEXCLASS.REL) && (t.texClass = e.TEXCLASS.ORD), this.prevClass = t.texClass || e.TEXCLASS.ORD, this.prevLevel = t.Get("scriptlevel")) : this.prevClass = e.TEXCLASS.NONE, this.texClass !== e.TEXCLASS.BIN || this.prevClass !== e.TEXCLASS.NONE && this.prevClass !== e.TEXCLASS.BIN && this.prevClass !== e.TEXCLASS.OP && this.prevClass !== e.TEXCLASS.REL && this.prevClass !== e.TEXCLASS.OPEN && this.prevClass !== e.TEXCLASS.PUNCT ? this.prevClass === e.TEXCLASS.BIN && (this.texClass === e.TEXCLASS.REL || this.texClass === e.TEXCLASS.CLOSE || this.texClass === e.TEXCLASS.PUNCT) && (t.texClass = this.prevClass = e.TEXCLASS.ORD) : this.texClass = e.TEXCLASS.ORD, this);
    2912. 

  2912. }
    2913. 

  2913. }), e.mtext = e.mbase.Subclass({
    2914. 

  2914. type: "mtext",
    2915. 

  2915. isToken: !0,
    2916. 

  2916. isSpacelike: function() {
    2917. 

  2917. return !0;
    2918. 

  2918. },
    2919. 

  2919. texClass: e.TEXCLASS.ORD,
    2920. 

  2920. defaults: {
    2921. 

  2921. mathvariant: e.INHERIT,
    2922. 

  2922. mathsize: e.INHERIT,
    2923. 

  2923. mathbackground: e.INHERIT,
    2924. 

  2924. mathcolor: e.INHERIT
    2925. 

  2925. }
    2926. 

  2926. }), e.mspace = e.mbase.Subclass({
    2927. 

  2927. type: "mspace",
    2928. 

  2928. isToken: !0,
    2929. 

  2929. isSpacelike: function() {
    2930. 

  2930. return !0;
    2931. 

  2931. },
    2932. 

  2932. defaults: {
    2933. 

  2933. mathbackground: e.INHERIT,
    2934. 

  2934. mathcolor: e.INHERIT,
    2935. 

  2935. width: "0em",
    2936. 

  2936. height: "0ex",
    2937. 

  2937. depth: "0ex",
    2938. 

  2938. linebreak: e.LINEBREAK.AUTO
    2939. 

  2939. },
    2940. 

  2940. hasNewline: function() {
    2941. 

  2941. return this.Get("linebreak") === e.LINEBREAK.NEWLINE;
    2942. 

  2942. }
    2943. 

  2943. }), e.ms = e.mbase.Subclass({
    2944. 

  2944. type: "ms",
    2945. 

  2945. isToken: !0,
    2946. 

  2946. texClass: e.TEXCLASS.ORD,
    2947. 

  2947. defaults: {
    2948. 

  2948. mathvariant: e.INHERIT,
    2949. 

  2949. mathsize: e.INHERIT,
    2950. 

  2950. mathbackground: e.INHERIT,
    2951. 

  2951. mathcolor: e.INHERIT,
    2952. 

  2952. lquote: '"',
    2953. 

  2953. rquote: '"'
    2954. 

  2954. }
    2955. 

  2955. }), e.mglyph = e.mbase.Subclass({
    2956. 

  2956. type: "mglyph",
    2957. 

  2957. isToken: !0,
    2958. 

  2958. texClass: e.TEXCLASS.ORD,
    2959. 

  2959. defaults: {
    2960. 

  2960. mathbackground: e.INHERIT,
    2961. 

  2961. mathcolor: e.INHERIT,
    2962. 

  2962. alt: "",
    2963. 

  2963. src: "",
    2964. 

  2964. width: e.AUTO,
    2965. 

  2965. height: e.AUTO,
    2966. 

  2966. valign: "0em"
    2967. 

  2967. }
    2968. 

  2968. }), e.mrow = e.mbase.Subclass({
    2969. 

  2969. type: "mrow",
    2970. 

  2970. isSpacelike: e.mbase.childrenSpacelike,
    2971. 

  2971. inferred: !1,
    2972. 

  2972. isEmbellished: function() {
    2973. 

  2973. var e = !1;
    2974. 

  2974. for (var t = 0, n = this.data.length; t < n; t++) {
    2975. 

  2975. if (this.data[t] == null) continue;
    2976. 

  2976. if (this.data[t].isEmbellished()) {
    2977. 

  2977. if (e) return !1;
    2978. 

  2978. e = !0, this.core = t;
    2979. 

  2979. } else if (!this.data[t].isSpacelike()) return !1;
    2980. 

  2980. }
    2981. 

  2981. return e;
    2982. 

  2982. },
    2983. 

  2983. NonSpaceLength: function() {
    2984. 

  2984. var e = 0;
    2985. 

  2985. for (var t = 0, n = this.data.length; t < n; t++) this.data[t] && !this.data[t].isSpacelike() && e++;
    2986. 

  2986. return e;
    2987. 

  2987. },
    2988. 

  2988. FirstNonSpace: function() {
    2989. 

  2989. for (var e = 0, t = this.data.length; e < t; e++) if (this.data[e] && !this.data[e].isSpacelike()) return this.data[e];
    2990. 

  2990. return null;
    2991. 

  2991. },
    2992. 

  2992. LastNonSpace: function() {
    2993. 

  2993. for (var e = this.data.length - 1; e >= 0; e--) if (this.data[0] && !this.data[e].isSpacelike()) return this.data[e];
    2994. 

  2994. return null;
    2995. 

  2995. },
    2996. 

  2996. Core: function() {
    2997. 

  2997. return !this.isEmbellished() || typeof this.core == "undefined" ? this : this.data[this.core];
    2998. 

  2998. },
    2999. 

  2999. CoreMO: function() {
    3000. 

  3000. return !this.isEmbellished() || typeof this.core == "undefined" ? this : this.data[this.core].CoreMO();
    3001. 

  3001. },
    3002. 

  3002. toString: function() {
    3003. 

  3003. return this.inferred ? "[" + this.data.join(",") + "]" : this.SUPER(arguments).toString.call(this);
    3004. 

  3004. },
    3005. 

  3005. setTeXclass: function(e) {
    3006. 

  3006. for (var t = 0, n = this.data.length; t < n; t++) this.data[t] && (e = this.data[t].setTeXclass(e));
    3007. 

  3007. return this.data[0] && this.updateTeXclass(this.data[0]), e;
    3008. 

  3008. }
    3009. 

  3009. }), e.mfrac = e.mbase.Subclass({
    3010. 

  3010. type: "mfrac",
    3011. 

  3011. num: 0,
    3012. 

  3012. den: 1,
    3013. 

  3013. linebreakContainer: !0,
    3014. 

  3014. texClass: e.TEXCLASS.INNER,
    3015. 

  3015. isEmbellished: e.mbase.childEmbellished,
    3016. 

  3016. Core: e.mbase.childCore,
    3017. 

  3017. CoreMO: e.mbase.childCoreMO,
    3018. 

  3018. defaults: {
    3019. 

  3019. mathbackground: e.INHERIT,
    3020. 

  3020. mathcolor: e.INHERIT,
    3021. 

  3021. linethickness: e.LINETHICKNESS.MEDIUM,
    3022. 

  3022. numalign: e.ALIGN.CENTER,
    3023. 

  3023. denomalign: e.ALIGN.CENTER,
    3024. 

  3024. bevelled: !1
    3025. 

  3025. },
    3026. 

  3026. adjustChild_displaystyle: function(e) {
    3027. 

  3027. return !1;
    3028. 

  3028. },
    3029. 

  3029. adjustChild_scriptlevel: function(e) {
    3030. 

  3030. var t = this.Get("scriptlevel");
    3031. 

  3031. return (!this.Get("displaystyle") || t > 0) && t++, t;
    3032. 

  3032. },
    3033. 

  3033. adjustChild_texprimestyle: function(e) {
    3034. 

  3034. return e == this.den ? !0 : this.Get("texprimestyle");
    3035. 

  3035. },
    3036. 

  3036. setTeXclass: e.mbase.setSeparateTeXclasses
    3037. 

  3037. }), e.msqrt = e.mbase.Subclass({
    3038. 

  3038. type: "msqrt",
    3039. 

  3039. inferRow: !0,
    3040. 

  3040. linebreakContainer: !0,
    3041. 

  3041. texClass: e.TEXCLASS.ORD,
    3042. 

  3042. setTeXclass: e.mbase.setSeparateTeXclasses,
    3043. 

  3043. adjustChild_texprimestyle: function(e) {
    3044. 

  3044. return !0;
    3045. 

  3045. }
    3046. 

  3046. }), e.mroot = e.mbase.Subclass({
    3047. 

  3047. type: "mroot",
    3048. 

  3048. linebreakContainer: !0,
    3049. 

  3049. texClass: e.TEXCLASS.ORD,
    3050. 

  3050. adjustChild_displaystyle: function(e) {
    3051. 

  3051. return e === 1 ? !1 : this.Get("displaystyle");
    3052. 

  3052. },
    3053. 

  3053. adjustChild_scriptlevel: function(e) {
    3054. 

  3054. var t = this.Get("scriptlevel");
    3055. 

  3055. return e === 1 && (t += 2), t;
    3056. 

  3056. },
    3057. 

  3057. adjustChild_texprimestyle: function(e) {
    3058. 

  3058. return e === 0 ? !0 : this.Get("texprimestyle");
    3059. 

  3059. },
    3060. 

  3060. setTeXclass: e.mbase.setSeparateTeXclasses
    3061. 

  3061. }), e.mstyle = e.mbase.Subclass({
    3062. 

  3062. type: "mstyle",
    3063. 

  3063. isSpacelike: e.mbase.childrenSpacelike,
    3064. 

  3064. isEmbellished: e.mbase.childEmbellished,
    3065. 

  3065. Core: e.mbase.childCore,
    3066. 

  3066. CoreMO: e.mbase.childCoreMO,
    3067. 

  3067. inferRow: !0,
    3068. 

  3068. defaults: {
    3069. 

  3069. scriptlevel: e.INHERIT,
    3070. 

  3070. displaystyle: e.INHERIT,
    3071. 

  3071. scriptsizemultiplier: Math.sqrt(.5),
    3072. 

  3072. scriptminsize: "8pt",
    3073. 

  3073. mathbackground: e.INHERIT,
    3074. 

  3074. mathcolor: e.INHERIT,
    3075. 

  3075. infixlinebreakstyle: e.LINEBREAKSTYLE.BEFORE,
    3076. 

  3076. decimalseparator: "."
    3077. 

  3077. },
    3078. 

  3078. adjustChild_scriptlevel: function(e) {
    3079. 

  3079. var t = this.scriptlevel;
    3080. 

  3080. if (t == null) t = this.Get("scriptlevel"); else if (String(t).match(/^ *[-+]/)) {
    3081. 

  3081. delete this.scriptlevel;
    3082. 

  3082. var n = this.Get("scriptlevel");
    3083. 

  3083. this.scriptlevel = t, t = n + parseInt(t);
    3084. 

  3084. }
    3085. 

  3085. return t;
    3086. 

  3086. },
    3087. 

  3087. inheritFromMe: !0,
    3088. 

  3088. noInherit: {
    3089. 

  3089. mpadded: {
    3090. 

  3090. width: !0,
    3091. 

  3091. height: !0,
    3092. 

  3092. depth: !0,
    3093. 

  3093. lspace: !0,
    3094. 

  3094. voffset: !0
    3095. 

  3095. },
    3096. 

  3096. mtable: {
    3097. 

  3097. width: !0,
    3098. 

  3098. height: !0,
    3099. 

  3099. depth: !0,
    3100. 

  3100. align: !0
    3101. 

  3101. }
    3102. 

  3102. },
    3103. 

  3103. setTeXclass: e.mbase.setChildTeXclass
    3104. 

  3104. }), e.merror = e.mbase.Subclass({
    3105. 

  3105. type: "merror",
    3106. 

  3106. inferRow: !0,
    3107. 

  3107. linebreakContainer: !0,
    3108. 

  3108. texClass: e.TEXCLASS.ORD
    3109. 

  3109. }), e.mpadded = e.mbase.Subclass({
    3110. 

  3110. type: "mpadded",
    3111. 

  3111. inferRow: !0,
    3112. 

  3112. isSpacelike: e.mbase.childrenSpacelike,
    3113. 

  3113. isEmbellished: e.mbase.childEmbellished,
    3114. 

  3114. Core: e.mbase.childCore,
    3115. 

  3115. CoreMO: e.mbase.childCoreMO,
    3116. 

  3116. defaults: {
    3117. 

  3117. mathbackground: e.INHERIT,
    3118. 

  3118. mathcolor: e.INHERIT,
    3119. 

  3119. width: "",
    3120. 

  3120. height: "",
    3121. 

  3121. depth: "",
    3122. 

  3122. lspace: 0,
    3123. 

  3123. voffset: 0
    3124. 

  3124. },
    3125. 

  3125. setTeXclass: e.mbase.setChildTeXclass
    3126. 

  3126. }), e.mphantom = e.mbase.Subclass({
    3127. 

  3127. type: "mphantom",
    3128. 

  3128. texClass: e.TEXCLASS.ORD,
    3129. 

  3129. inferRow: !0,
    3130. 

  3130. isSpacelike: e.mbase.childrenSpacelike,
    3131. 

  3131. isEmbellished: e.mbase.childEmbellished,
    3132. 

  3132. Core: e.mbase.childCore,
    3133. 

  3133. CoreMO: e.mbase.childCoreMO,
    3134. 

  3134. setTeXclass: e.mbase.setChildTeXclass
    3135. 

  3135. }), e.mfenced = e.mbase.Subclass({
    3136. 

  3136. type: "mfenced",
    3137. 

  3137. defaults: {
    3138. 

  3138. mathbackground: e.INHERIT,
    3139. 

  3139. mathcolor: e.INHERIT,
    3140. 

  3140. open: "(",
    3141. 

  3141. close: ")",
    3142. 

  3142. separators: ","
    3143. 

  3143. },
    3144. 

  3144. texClass: e.TEXCLASS.OPEN,
    3145. 

  3145. setTeXclass: function(t) {
    3146. 

  3146. this.getPrevClass(t);
    3147. 

  3147. var n = this.getValues("open", "close", "separators");
    3148. 

  3148. n.open = n.open.replace(/[ \t\n\r]/g, ""), n.close = n.close.replace(/[ \t\n\r]/g, ""), n.separators = n.separators.replace(/[ \t\n\r]/g, ""), n.open !== "" && (this.SetData("open", e.mo(n.open).With({
    3149. 

  3149. stretchy: !0,
    3150. 

  3150. texClass: e.TEXCLASS.OPEN
    3151. 

  3151. })), t = this.data.open.setTeXclass(t));
    3152. 

  3152. if (n.separators !== "") while (n.separators.length < this.data.length) n.separators += n.separators.charAt(n.separators.length - 1);
    3153. 

  3153. this.data[0] && (t = this.data[0].setTeXclass(t));
    3154. 

  3154. for (var r = 1, i = this.data.length; r < i; r++) this.data[r] && (n.separators !== "" && (this.SetData("sep" + r, e.mo(n.separators.charAt(r - 1))), t = this.data["sep" + r].setTeXclass(t)), t = this.data[r].setTeXclass(t));
    3155. 

  3155. return n.close !== "" && (this.SetData("close", e.mo(n.close).With({
    3156. 

  3156. stretchy: !0,
    3157. 

  3157. texClass: e.TEXCLASS.CLOSE
    3158. 

  3158. })), t = this.data.close.setTeXclass(t)), this.updateTeXclass(this.data.open), t;
    3159. 

  3159. }
    3160. 

  3160. }), e.menclose = e.mbase.Subclass({
    3161. 

  3161. type: "menclose",
    3162. 

  3162. inferRow: !0,
    3163. 

  3163. linebreakContainer: !0,
    3164. 

  3164. defaults: {
    3165. 

  3165. mathbackground: e.INHERIT,
    3166. 

  3166. mathcolor: e.INHERIT,
    3167. 

  3167. notation: e.NOTATION.LONGDIV,
    3168. 

  3168. texClass: e.TEXCLASS.ORD
    3169. 

  3169. },
    3170. 

  3170. setTeXclass: e.mbase.setSeparateTeXclasses
    3171. 

  3171. }), e.msubsup = e.mbase.Subclass({
    3172. 

  3172. type: "msubsup",
    3173. 

  3173. base: 0,
    3174. 

  3174. sub: 1,
    3175. 

  3175. sup: 2,
    3176. 

  3176. isEmbellished: e.mbase.childEmbellished,
    3177. 

  3177. Core: e.mbase.childCore,
    3178. 

  3178. CoreMO: e.mbase.childCoreMO,
    3179. 

  3179. defaults: {
    3180. 

  3180. mathbackground: e.INHERIT,
    3181. 

  3181. mathcolor: e.INHERIT,
    3182. 

  3182. subscriptshift: "",
    3183. 

  3183. superscriptshift: "",
    3184. 

  3184. texClass: e.AUTO
    3185. 

  3185. },
    3186. 

  3186. autoDefault: function(t) {
    3187. 

  3187. return t === "texClass" ? this.isEmbellished() ? this.CoreMO().Get(t) : e.TEXCLASS.ORD : 0;
    3188. 

  3188. },
    3189. 

  3189. adjustChild_displaystyle: function(e) {
    3190. 

  3190. return e > 0 ? !1 : this.Get("displaystyle");
    3191. 

  3191. },
    3192. 

  3192. adjustChild_scriptlevel: function(e) {
    3193. 

  3193. var t = this.Get("scriptlevel");
    3194. 

  3194. return e > 0 && t++, t;
    3195. 

  3195. },
    3196. 

  3196. adjustChild_texprimestyle: function(e) {
    3197. 

  3197. return e === this.sub ? !0 : this.Get("texprimestyle");
    3198. 

  3198. },
    3199. 

  3199. setTeXclass: e.mbase.setBaseTeXclasses
    3200. 

  3200. }), e.msub = e.msubsup.Subclass({
    3201. 

  3201. type: "msub"
    3202. 

  3202. }), e.msup = e.msubsup.Subclass({
    3203. 

  3203. type: "msup",
    3204. 

  3204. sub: 2,
    3205. 

  3205. sup: 1
    3206. 

  3206. }), e.mmultiscripts = e.msubsup.Subclass({
    3207. 

  3207. type: "mmultiscripts",
    3208. 

  3208. adjustChild_texprimestyle: function(e) {
    3209. 

  3209. return e % 2 === 1 ? !0 : this.Get("texprimestyle");
    3210. 

  3210. }
    3211. 

  3211. }), e.mprescripts = e.mbase.Subclass({
    3212. 

  3212. type: "mprescripts"
    3213. 

  3213. }), e.none = e.mbase.Subclass({
    3214. 

  3214. type: "none"
    3215. 

  3215. }), e.munderover = e.mbase.Subclass({
    3216. 

  3216. type: "munderover",
    3217. 

  3217. base: 0,
    3218. 

  3218. under: 1,
    3219. 

  3219. over: 2,
    3220. 

  3220. sub: 1,
    3221. 

  3221. sup: 2,
    3222. 

  3222. ACCENTS: [ "", "accentunder", "accent" ],
    3223. 

  3223. linebreakContainer: !0,
    3224. 

  3224. isEmbellished: e.mbase.childEmbellished,
    3225. 

  3225. Core: e.mbase.childCore,
    3226. 

  3226. CoreMO: e.mbase.childCoreMO,
    3227. 

  3227. defaults: {
    3228. 

  3228. mathbackground: e.INHERIT,
    3229. 

  3229. mathcolor: e.INHERIT,
    3230. 

  3230. accent: e.AUTO,
    3231. 

  3231. accentunder: e.AUTO,
    3232. 

  3232. align: e.ALIGN.CENTER,
    3233. 

  3233. texClass: e.AUTO,
    3234. 

  3234. subscriptshift: "",
    3235. 

  3235. superscriptshift: ""
    3236. 

  3236. },
    3237. 

  3237. autoDefault: function(t) {
    3238. 

  3238. return t === "texClass" ? this.isEmbellished() ? this.CoreMO().Get(t) : e.TEXCLASS.ORD : t === "accent" && this.data[this.over] ? this.data[this.over].CoreMO().Get("accent") : t === "accentunder" && this.data[this.under] ? this.data[this.under].CoreMO().Get("accent") : !1;
    3239. 

  3239. },
    3240. 

  3240. adjustChild_displaystyle: function(e) {
    3241. 

  3241. return e > 0 ? !1 : this.Get("displaystyle");
    3242. 

  3242. },
    3243. 

  3243. adjustChild_scriptlevel: function(e) {
    3244. 

  3244. var t = this.Get("scriptlevel"), n = this.data[this.base] && !this.Get("displaystyle") && this.data[this.base].CoreMO().Get("movablelimits");
    3245. 

  3245. return e == this.under && (n || !this.Get("accentunder")) && t++, e == this.over && (n || !this.Get("accent")) && t++, t;
    3246. 

  3246. },
    3247. 

  3247. adjustChild_texprimestyle: function(e) {
    3248. 

  3248. return e === this.base && this.data[this.over] ? !0 : this.Get("texprimestyle");
    3249. 

  3249. },
    3250. 

  3250. setTeXclass: e.mbase.setBaseTeXclasses
    3251. 

  3251. }), e.munder = e.munderover.Subclass({
    3252. 

  3252. type: "munder"
    3253. 

  3253. }), e.mover = e.munderover.Subclass({
    3254. 

  3254. type: "mover",
    3255. 

  3255. over: 1,
    3256. 

  3256. under: 2,
    3257. 

  3257. sup: 1,
    3258. 

  3258. sub: 2,
    3259. 

  3259. ACCENTS: [ "", "accent", "accentunder" ]
    3260. 

  3260. }), e.mtable = e.mbase.Subclass({
    3261. 

  3261. type: "mtable",
    3262. 

  3262. defaults: {
    3263. 

  3263. mathbackground: e.INHERIT,
    3264. 

  3264. mathcolor: e.INHERIT,
    3265. 

  3265. align: e.ALIGN.AXIS,
    3266. 

  3266. rowalign: e.ALIGN.BASELINE,
    3267. 

  3267. columnalign: e.ALIGN.CENTER,
    3268. 

  3268. groupalign: "{left}",
    3269. 

  3269. alignmentscope: !0,
    3270. 

  3270. columnwidth: e.WIDTH.AUTO,
    3271. 

  3271. width: e.WIDTH.AUTO,
    3272. 

  3272. rowspacing: "1ex",
    3273. 

  3273. columnspacing: ".8em",
    3274. 

  3274. rowlines: e.LINES.NONE,
    3275. 

  3275. columnlines: e.LINES.NONE,
    3276. 

  3276. frame: e.LINES.NONE,
    3277. 

  3277. framespacing: "0.4em 0.5ex",
    3278. 

  3278. equalrows: !1,
    3279. 

  3279. equalcolumns: !1,
    3280. 

  3280. displaystyle: !1,
    3281. 

  3281. side: e.SIDE.RIGHT,
    3282. 

  3282. minlabelspacing: "0.8em",
    3283. 

  3283. texClass: e.TEXCLASS.ORD,
    3284. 

  3284. useHeight: 1
    3285. 

  3285. },
    3286. 

  3286. inheritFromMe: !0,
    3287. 

  3287. noInherit: {
    3288. 

  3288. mover: {
    3289. 

  3289. align: !0
    3290. 

  3290. },
    3291. 

  3291. munder: {
    3292. 

  3292. align: !0
    3293. 

  3293. },
    3294. 

  3294. munderover: {
    3295. 

  3295. align: !0
    3296. 

  3296. },
    3297. 

  3297. mtable: {
    3298. 

  3298. align: !0,
    3299. 

  3299. rowalign: !0,
    3300. 

  3300. columnalign: !0,
    3301. 

  3301. groupalign: !0,
    3302. 

  3302. alignmentscope: !0,
    3303. 

  3303. columnwidth: !0,
    3304. 

  3304. width: !0,
    3305. 

  3305. rowspacing: !0,
    3306. 

  3306. columnspacing: !0,
    3307. 

  3307. rowlines: !0,
    3308. 

  3308. columnlines: !0,
    3309. 

  3309. frame: !0,
    3310. 

  3310. framespacing: !0,
    3311. 

  3311. equalrows: !0,
    3312. 

  3312. equalcolumns: !0,
    3313. 

  3313. side: !0,
    3314. 

  3314. minlabelspacing: !0,
    3315. 

  3315. texClass: !0,
    3316. 

  3316. useHeight: 1
    3317. 

  3317. }
    3318. 

  3318. },
    3319. 

  3319. linebreakContainer: !0,
    3320. 

  3320. Append: function() {
    3321. 

  3321. for (var t = 0, n = arguments.length; t < n; t++) arguments[t] instanceof e.mtr || arguments[t] instanceof e.mlabeledtr || (arguments[t] = e.mtd(arguments[t]));
    3322. 

  3322. this.SUPER(arguments).Append.apply(this, arguments);
    3323. 

  3323. },
    3324. 

  3324. setTeXclass: e.mbase.setSeparateTeXclasses
    3325. 

  3325. }), e.mtr = e.mbase.Subclass({
    3326. 

  3326. type: "mtr",
    3327. 

  3327. defaults: {
    3328. 

  3328. mathbackground: e.INHERIT,
    3329. 

  3329. mathcolor: e.INHERIT,
    3330. 

  3330. rowalign: e.INHERIT,
    3331. 

  3331. columnalign: e.INHERIT,
    3332. 

  3332. groupalign: e.INHERIT
    3333. 

  3333. },
    3334. 

  3334. inheritFromMe: !0,
    3335. 

  3335. noInherit: {
    3336. 

  3336. mrow: {
    3337. 

  3337. rowalign: !0,
    3338. 

  3338. columnalign: !0,
    3339. 

  3339. groupalign: !0
    3340. 

  3340. },
    3341. 

  3341. mtable: {
    3342. 

  3342. rowalign: !0,
    3343. 

  3343. columnalign: !0,
    3344. 

  3344. groupalign: !0
    3345. 

  3345. }
    3346. 

  3346. },
    3347. 

  3347. linebreakContainer: !0,
    3348. 

  3348. Append: function() {
    3349. 

  3349. for (var t = 0, n = arguments.length; t < n; t++) arguments[t] instanceof e.mtd || (arguments[t] = e.mtd(arguments[t]));
    3350. 

  3350. this.SUPER(arguments).Append.apply(this, arguments);
    3351. 

  3351. },
    3352. 

  3352. setTeXclass: e.mbase.setSeparateTeXclasses
    3353. 

  3353. }), e.mtd = e.mbase.Subclass({
    3354. 

  3354. type: "mtd",
    3355. 

  3355. inferRow: !0,
    3356. 

  3356. linebreakContainer: !0,
    3357. 

  3357. isEmbellished: e.mbase.childEmbellished,
    3358. 

  3358. Core: e.mbase.childCore,
    3359. 

  3359. CoreMO: e.mbase.childCoreMO,
    3360. 

  3360. defaults: {
    3361. 

  3361. mathbackground: e.INHERIT,
    3362. 

  3362. mathcolor: e.INHERIT,
    3363. 

  3363. rowspan: 1,
    3364. 

  3364. columnspan: 1,
    3365. 

  3365. rowalign: e.INHERIT,
    3366. 

  3366. columnalign: e.INHERIT,
    3367. 

  3367. groupalign: e.INHERIT
    3368. 

  3368. },
    3369. 

  3369. setTeXclass: e.mbase.setSeparateTeXclasses
    3370. 

  3370. }), e.maligngroup = e.mbase.Subclass({
    3371. 

  3371. type: "malign",
    3372. 

  3372. isSpacelike: function() {
    3373. 

  3373. return !0;
    3374. 

  3374. },
    3375. 

  3375. defaults: {
    3376. 

  3376. mathbackground: e.INHERIT,
    3377. 

  3377. mathcolor: e.INHERIT,
    3378. 

  3378. groupalign: e.INHERIT
    3379. 

  3379. },
    3380. 

  3380. inheritFromMe: !0,
    3381. 

  3381. noInherit: {
    3382. 

  3382. mrow: {
    3383. 

  3383. groupalign: !0
    3384. 

  3384. },
    3385. 

  3385. mtable: {
    3386. 

  3386. groupalign: !0
    3387. 

  3387. }
    3388. 

  3388. }
    3389. 

  3389. }), e.malignmark = e.mbase.Subclass({
    3390. 

  3390. type: "malignmark",
    3391. 

  3391. defaults: {
    3392. 

  3392. mathbackground: e.INHERIT,
    3393. 

  3393. mathcolor: e.INHERIT,
    3394. 

  3394. edge: e.SIDE.LEFT
    3395. 

  3395. },
    3396. 

  3396. isSpacelike: function() {
    3397. 

  3397. return !0;
    3398. 

  3398. }
    3399. 

  3399. }), e.mlabeledtr = e.mtr.Subclass({
    3400. 

  3400. type: "mlabeledtr"
    3401. 

  3401. }), e.maction = e.mbase.Subclass({
    3402. 

  3402. type: "maction",
    3403. 

  3403. defaults: {
    3404. 

  3404. mathbackground: e.INHERIT,
    3405. 

  3405. mathcolor: e.INHERIT,
    3406. 

  3406. actiontype: e.ACTIONTYPE.TOGGLE,
    3407. 

  3407. selection: 1
    3408. 

  3408. },
    3409. 

  3409. selected: function() {
    3410. 

  3410. return this.data[this.Get("selection") - 1] || e.NULL;
    3411. 

  3411. },
    3412. 

  3412. isEmbellished: function() {
    3413. 

  3413. return this.selected().isEmbellished();
    3414. 

  3414. },
    3415. 

  3415. isSpacelike: function() {
    3416. 

  3416. return this.selected().isSpacelike();
    3417. 

  3417. },
    3418. 

  3418. Core: function() {
    3419. 

  3419. return this.selected().Core();
    3420. 

  3420. },
    3421. 

  3421. CoreMO: function() {
    3422. 

  3422. return this.selected().CoreMO();
    3423. 

  3423. },
    3424. 

  3424. setTeXclass: function(e) {
    3425. 

  3425. return this.selected().setTeXclass(e);
    3426. 

  3426. }
    3427. 

  3427. }), e.semantics = e.mbase.Subclass({
    3428. 

  3428. type: "semantics",
    3429. 

  3429. isEmbellished: e.mbase.childEmbellished,
    3430. 

  3430. Core: e.mbase.childCore,
    3431. 

  3431. CoreMO: e.mbase.childCoreMO,
    3432. 

  3432. defaults: {
    3433. 

  3433. definitionURL: null,
    3434. 

  3434. encoding: null
    3435. 

  3435. },
    3436. 

  3436. setTeXclass: e.mbase.setChildTeXclass
    3437. 

  3437. }), e.annotation = e.mbase.Subclass({
    3438. 

  3438. type: "annotation",
    3439. 

  3439. isToken: !0,
    3440. 

  3440. linebreakContainer: !0,
    3441. 

  3441. defaults: {
    3442. 

  3442. definitionURL: null,
    3443. 

  3443. encoding: null,
    3444. 

  3444. cd: "mathmlkeys",
    3445. 

  3445. name: "",
    3446. 

  3446. src: null
    3447. 

  3447. }
    3448. 

  3448. }), e["annotation-xml"] = e.mbase.Subclass({
    3449. 

  3449. type: "annotation-xml",
    3450. 

  3450. linebreakContainer: !0,
    3451. 

  3451. defaults: {
    3452. 

  3452. definitionURL: null,
    3453. 

  3453. encoding: null,
    3454. 

  3454. cd: "mathmlkeys",
    3455. 

  3455. name: "",
    3456. 

  3456. src: null
    3457. 

  3457. }
    3458. 

  3458. }), e.math = e.mstyle.Subclass({
    3459. 

  3459. type: "math",
    3460. 

  3460. defaults: {
    3461. 

  3461. mathvariant: e.VARIANT.NORMAL,
    3462. 

  3462. mathsize: e.SIZE.NORMAL,
    3463. 

  3463. mathcolor: "",
    3464. 

  3464. mathbackground: e.COLOR.TRANSPARENT,
    3465. 

  3465. scriptlevel: 0,
    3466. 

  3466. displaystyle: e.AUTO,
    3467. 

  3467. display: "inline",
    3468. 

  3468. maxwidth: "",
    3469. 

  3469. overflow: e.OVERFLOW.LINEBREAK,
    3470. 

  3470. altimg: "",
    3471. 

  3471. "altimg-width": "",
    3472. 

  3472. "altimg-height": "",
    3473. 

  3473. "altimg-valign": "",
    3474. 

  3474. alttext: "",
    3475. 

  3475. cdgroup: "",
    3476. 

  3476. scriptsizemultiplier: Math.sqrt(.5),
    3477. 

  3477. scriptminsize: "8px",
    3478. 

  3478. infixlinebreakstyle: e.LINEBREAKSTYLE.BEFORE,
    3479. 

  3479. lineleading: "1ex",
    3480. 

  3480. indentshift: "auto",
    3481. 

  3481. indentalign: e.INDENTALIGN.AUTO,
    3482. 

  3482. indentalignfirst: e.INDENTALIGN.INDENTALIGN,
    3483. 

  3483. indentshiftfirst: e.INDENTSHIFT.INDENTSHIFT,
    3484. 

  3484. indentalignlast: e.INDENTALIGN.INDENTALIGN,
    3485. 

  3485. indentshiftlast: e.INDENTSHIFT.INDENTSHIFT,
    3486. 

  3486. decimalseparator: ".",
    3487. 

  3487. texprimestyle: !1
    3488. 

  3488. },
    3489. 

  3489. autoDefault: function(e) {
    3490. 

  3490. return e === "displaystyle" ? this.Get("display") === "block" : "";
    3491. 

  3491. },
    3492. 

  3492. linebreakContainer: !0,
    3493. 

  3493. setTeXclass: e.mbase.setChildTeXclass
    3494. 

  3494. }), e.chars = e.mbase.Subclass({
    3495. 

  3495. type: "chars",
    3496. 

  3496. Append: function() {
    3497. 

  3497. this.data.push.apply(this.data, arguments);
    3498. 

  3498. },
    3499. 

  3499. value: function() {
    3500. 

  3500. return this.data.join("");
    3501. 

  3501. },
    3502. 

  3502. toString: function() {
    3503. 

  3503. return this.data.join("");
    3504. 

  3504. }
    3505. 

  3505. }), e.entity = e.mbase.Subclass({
    3506. 

  3506. type: "entity",
    3507. 

  3507. Append: function() {
    3508. 

  3508. this.data.push.apply(this.data, arguments);
    3509. 

  3509. },
    3510. 

  3510. value: function() {
    3511. 

  3511. return this.data[0].substr(0, 2) === "#x" ? parseInt(this.data[0].substr(2), 16) : this.data[0].substr(0, 1) === "#" ? parseInt(this.data[0].substr(1)) : 0;
    3512. 

  3512. },
    3513. 

  3513. toString: function() {
    3514. 

  3514. var e = this.value();
    3515. 

  3515. return e <= 65535 ? String.fromCharCode(e) : (e -= 65536, String.fromCharCode((e >> 10) + 55296) + String.fromCharCode((e & 1023) + 56320));
    3516. 

  3516. }
    3517. 

  3517. }), e.xml = e.mbase.Subclass({
    3518. 

  3518. type: "xml",
    3519. 

  3519. Init: function() {
    3520. 

  3520. return this.div = document.createElement("div"), this.SUPER(arguments).Init.apply(this, arguments);
    3521. 

  3521. },
    3522. 

  3522. Append: function() {
    3523. 

  3523. for (var e = 0, t = arguments.length; e < t; e++) {
    3524. 

  3524. var n = this.Import(arguments[e]);
    3525. 

  3525. this.data.push(n), this.div.appendChild(n);
    3526. 

  3526. }
    3527. 

  3527. },
    3528. 

  3528. Import: function(e) {
    3529. 

  3529. if (document.importNode) return document.importNode(e, !0);
    3530. 

  3530. var t, n, r;
    3531. 

  3531. if (e.nodeType === 1) {
    3532. 

  3532. t = document.createElement(e.nodeName);
    3533. 

  3533. for (n = 0, r = e.attributes.length; n < r; n++) {
    3534. 

  3534. var i = e.attributes[n];
    3535. 

  3535. i.specified && i.nodeValue != null && i.nodeValue != "" && t.setAttribute(i.nodeName, i.nodeValue), i.nodeName === "style" && (t.style.cssText = i.nodeValue);
    3536. 

  3536. }
    3537. 

  3537. e.className && (t.className = e.className);
    3538. 

  3538. } else if (e.nodeType === 3 || e.nodeType === 4) t = document.createTextNode(e.nodeValue); else {
    3539. 

  3539. if (e.nodeType !== 8) return document.createTextNode("");
    3540. 

  3540. t = document.createComment(e.nodeValue);
    3541. 

  3541. }
    3542. 

  3542. for (n = 0, r = e.childNodes.length; n < r; n++) t.appendChild(this.Import(e.childNodes[n]));
    3543. 

  3543. return t;
    3544. 

  3544. },
    3545. 

  3545. value: function() {
    3546. 

  3546. return this.div;
    3547. 

  3547. },
    3548. 

  3548. toString: function() {
    3549. 

  3549. return this.div.innerHTML;
    3550. 

  3550. }
    3551. 

  3551. }), e.TeXAtom = e.mbase.Subclass({
    3552. 

  3552. type: "texatom",
    3553. 

  3553. inferRow: !0,
    3554. 

  3554. texClass: e.TEXCLASS.ORD,
    3555. 

  3555. Core: e.mbase.childCore,
    3556. 

  3556. CoreMO: e.mbase.childCoreMO,
    3557. 

  3557. isEmbellished: e.mbase.childEmbellished,
    3558. 

  3558. setTeXclass: function(e) {
    3559. 

  3559. return this.data[0].setTeXclass(), this.adjustTeXclass(e);
    3560. 

  3560. },
    3561. 

  3561. adjustTeXclass: e.mo.prototype.adjustTeXclass
    3562. 

  3562. }), e.NULL = e.mbase().With({
    3563. 

  3563. type: "null"
    3564. 

  3564. });
    3565. 

  3565. var t = e.TEXCLASS, n = {
    3566. 

  3566. ORD: [ 0, 0, t.ORD ],
    3567. 

  3567. ORD11: [ 1, 1, t.ORD ],
    3568. 

  3568. ORD21: [ 2, 1, t.ORD ],
    3569. 

  3569. ORD02: [ 0, 2, t.ORD ],
    3570. 

  3570. ORD55: [ 5, 5, t.ORD ],
    3571. 

  3571. OP: [ 1, 2, t.OP, {
    3572. 

  3572. largeop: !0,
    3573. 

  3573. movablelimits: !0,
    3574. 

  3574. symmetric: !0
    3575. 

  3575. } ],
    3576. 

  3576. OPFIXED: [ 1, 2, t.OP, {
    3577. 

  3577. largeop: !0,
    3578. 

  3578. movablelimits: !0
    3579. 

  3579. } ],
    3580. 

  3580. INTEGRAL: [ 0, 1, t.OP, {
    3581. 

  3581. largeop: !0,
    3582. 

  3582. symmetric: !0
    3583. 

  3583. } ],
    3584. 

  3584. INTEGRAL2: [ 1, 2, t.OP, {
    3585. 

  3585. largeop: !0,
    3586. 

  3586. symmetric: !0
    3587. 

  3587. } ],
    3588. 

  3588. BIN3: [ 3, 3, t.BIN ],
    3589. 

  3589. BIN4: [ 4, 4, t.BIN ],
    3590. 

  3590. BIN01: [ 0, 1, t.BIN ],
    3591. 

  3591. BIN5: [ 5, 5, t.BIN ],
    3592. 

  3592. TALLBIN: [ 4, 4, t.BIN, {
    3593. 

  3593. stretchy: !0
    3594. 

  3594. } ],
    3595. 

  3595. BINOP: [ 4, 4, t.BIN, {
    3596. 

  3596. largeop: !0,
    3597. 

  3597. movablelimits: !0
    3598. 

  3598. } ],
    3599. 

  3599. REL: [ 5, 5, t.REL ],
    3600. 

  3600. REL1: [ 1, 1, t.REL, {
    3601. 

  3601. stretchy: !0
    3602. 

  3602. } ],
    3603. 

  3603. REL4: [ 4, 4, t.REL ],
    3604. 

  3604. RELSTRETCH: [ 5, 5, t.REL, {
    3605. 

  3605. stretchy: !0
    3606. 

  3606. } ],
    3607. 

  3607. RELACCENT: [ 5, 5, t.REL, {
    3608. 

  3608. accent: !0
    3609. 

  3609. } ],
    3610. 

  3610. WIDEREL: [ 5, 5, t.REL, {
    3611. 

  3611. accent: !0,
    3612. 

  3612. stretchy: !0
    3613. 

  3613. } ],
    3614. 

  3614. OPEN: [ 0, 0, t.OPEN, {
    3615. 

  3615. fence: !0,
    3616. 

  3616. stretchy: !0,
    3617. 

  3617. symmetric: !0
    3618. 

  3618. } ],
    3619. 

  3619. CLOSE: [ 0, 0, t.CLOSE, {
    3620. 

  3620. fence: !0,
    3621. 

  3621. stretchy: !0,
    3622. 

  3622. symmetric: !0
    3623. 

  3623. } ],
    3624. 

  3624. INNER: [ 0, 0, t.INNER ],
    3625. 

  3625. PUNCT: [ 0, 3, t.PUNCT ],
    3626. 

  3626. ACCENT: [ 0, 0, t.ORD, {
    3627. 

  3627. accent: !0
    3628. 

  3628. } ],
    3629. 

  3629. WIDEACCENT: [ 0, 0, t.ORD, {
    3630. 

  3630. accent: !0,
    3631. 

  3631. stretchy: !0
    3632. 

  3632. } ]
    3633. 

  3633. };
    3634. 

  3634. e.mo.Augment({
    3635. 

  3635. SPACE: [ "0em", "0.1111em", "0.1667em", "0.2222em", "0.2667em", "0.3333em" ],
    3636. 

  3636. RANGES: [ [ 32, 127, t.REL, "BasicLatin" ], [ 160, 255, t.ORD, "Latin1Supplement" ], [ 256, 383, t.ORD ], [ 384, 591, t.ORD ], [ 688, 767, t.ORD, "SpacingModLetters" ], [ 768, 879, t.ORD, "CombDiacritMarks" ], [ 880, 1023, t.ORD, "GreekAndCoptic" ], [ 7680, 7935, t.ORD ], [ 8192, 8303, t.PUNCT, "GeneralPunctuation" ], [ 8304, 8351, t.ORD ], [ 8352, 8399, t.ORD ], [ 8400, 8447, t.ORD, "CombDiactForSymbols" ], [ 8448, 8527, t.ORD, "LetterlikeSymbols" ], [ 8528, 8591, t.ORD ], [ 8592, 8703, t.REL, "Arrows" ], [ 8704, 8959, t.BIN, "MathOperators" ], [ 8960, 9215, t.ORD, "MiscTechnical" ], [ 9312, 9471, t.ORD ], [ 9472, 9631, t.ORD ], [ 9632, 9727, t.ORD, "GeometricShapes" ], [ 9984, 10175, t.ORD, "Dingbats" ], [ 10176, 10223, t.ORD, "MiscMathSymbolsA" ], [ 10224, 10239, t.REL, "SupplementalArrowsA" ], [ 10496, 10623, t.REL, "SupplementalArrowsB" ], [ 10624, 10751, t.ORD, "MiscMathSymbolsB" ], [ 10752, 11007, t.BIN, "SuppMathOperators" ], [ 11008, 11263, t.ORD, "MiscSymbolsAndArrows" ], [ 119808, 120831, t.ORD ] ],
    3637. 

  3637. OPTABLE: {
    3638. 

  3638. prefix: {
    3639. 

  3639. "\u2200": n.ORD21,
    3640. 

  3640. "\u2202": n.ORD21,
    3641. 

  3641. "\u2203": n.ORD21,
    3642. 

  3642. "\u2207": n.ORD21,
    3643. 

  3643. "\u220f": n.OP,
    3644. 

  3644. "\u2210": n.OP,
    3645. 

  3645. "\u2211": n.OP,
    3646. 

  3646. "\u2212": n.BIN01,
    3647. 

  3647. "\u2213": n.BIN01,
    3648. 

  3648. "\u221a": [ 1, 1, t.ORD, {
    3649. 

  3649. stretchy: !0
    3650. 

  3650. } ],
    3651. 

  3651. "\u2220": n.ORD,
    3652. 

  3652. "\u222b": n.INTEGRAL,
    3653. 

  3653. "\u222e": n.INTEGRAL,
    3654. 

  3654. "\u22c0": n.OP,
    3655. 

  3655. "\u22c1": n.OP,
    3656. 

  3656. "\u22c2": n.OP,
    3657. 

  3657. "\u22c3": n.OP,
    3658. 

  3658. "\u2308": n.OPEN,
    3659. 

  3659. "\u230a": n.OPEN,
    3660. 

  3660. "\u27e8": n.OPEN,
    3661. 

  3661. "\u27ee": n.OPEN,
    3662. 

  3662. "\u2a00": n.OP,
    3663. 

  3663. "\u2a01": n.OP,
    3664. 

  3664. "\u2a02": n.OP,
    3665. 

  3665. "\u2a04": n.OP,
    3666. 

  3666. "\u2a06": n.OP,
    3667. 

  3667. "\u00ac": n.ORD21,
    3668. 

  3668. "\u00b1": n.BIN01,
    3669. 

  3669. "(": n.OPEN,
    3670. 

  3670. "+": n.BIN01,
    3671. 

  3671. "-": n.BIN01,
    3672. 

  3672. "[": n.OPEN,
    3673. 

  3673. "{": n.OPEN,
    3674. 

  3674. "|": n.OPEN
    3675. 

  3675. },
    3676. 

  3676. postfix: {
    3677. 

  3677. "!": [ 1, 0, t.CLOSE ],
    3678. 

  3678. "&": n.ORD,
    3679. 

  3679. "\u2032": n.ORD02,
    3680. 

  3680. "\u203e": n.WIDEACCENT,
    3681. 

  3681. "\u2309": n.CLOSE,
    3682. 

  3682. "\u230b": n.CLOSE,
    3683. 

  3683. "\u23de": n.WIDEACCENT,
    3684. 

  3684. "\u23df": n.WIDEACCENT,
    3685. 

  3685. "\u266d": n.ORD02,
    3686. 

  3686. "\u266e": n.ORD02,
    3687. 

  3687. "\u266f": n.ORD02,
    3688. 

  3688. "\u27e9": n.CLOSE,
    3689. 

  3689. "\u27ef": n.CLOSE,
    3690. 

  3690. "\u02c6": n.WIDEACCENT,
    3691. 

  3691. "\u02c7": n.WIDEACCENT,
    3692. 

  3692. "\u02c9": n.WIDEACCENT,
    3693. 

  3693. "\u02ca": n.ACCENT,
    3694. 

  3694. "\u02cb": n.ACCENT,
    3695. 

  3695. "\u02d8": n.ACCENT,
    3696. 

  3696. "\u02d9": n.ACCENT,
    3697. 

  3697. "\u02dc": n.WIDEACCENT,
    3698. 

  3698. "\u0302": n.WIDEACCENT,
    3699. 

  3699. "\u00a8": n.ACCENT,
    3700. 

  3700. "\u00af": n.WIDEACCENT,
    3701. 

  3701. ")": n.CLOSE,
    3702. 

  3702. "]": n.CLOSE,
    3703. 

  3703. "^": n.WIDEACCENT,
    3704. 

  3704. _: n.WIDEACCENT,
    3705. 

  3705. "`": n.ACCENT,
    3706. 

  3706. "|": n.CLOSE,
    3707. 

  3707. "}": n.CLOSE,
    3708. 

  3708. "~": n.WIDEACCENT
    3709. 

  3709. },
    3710. 

  3710. infix: {
    3711. 

  3711. "": n.ORD,
    3712. 

  3712. "%": [ 3, 3, t.ORD ],
    3713. 

  3713. "\u2022": n.BIN4,
    3714. 

  3714. "\u2026": n.INNER,
    3715. 

  3715. "\u2044": n.TALLBIN,
    3716. 

  3716. "\u2061": n.ORD,
    3717. 

  3717. "\u2062": n.ORD,
    3718. 

  3718. "\u2063": [ 0, 0, t.ORD, {
    3719. 

  3719. linebreakstyle: "after",
    3720. 

  3720. separator: !0
    3721. 

  3721. } ],
    3722. 

  3722. "\u2064": n.ORD,
    3723. 

  3723. "\u2190": n.WIDEREL,
    3724. 

  3724. "\u2191": n.RELSTRETCH,
    3725. 

  3725. "\u2192": n.WIDEREL,
    3726. 

  3726. "\u2193": n.RELSTRETCH,
    3727. 

  3727. "\u2194": n.WIDEREL,
    3728. 

  3728. "\u2195": n.RELSTRETCH,
    3729. 

  3729. "\u2196": n.RELSTRETCH,
    3730. 

  3730. "\u2197": n.RELSTRETCH,
    3731. 

  3731. "\u2198": n.RELSTRETCH,
    3732. 

  3732. "\u2199": n.RELSTRETCH,
    3733. 

  3733. "\u21a6": n.WIDEREL,
    3734. 

  3734. "\u21a9": n.WIDEREL,
    3735. 

  3735. "\u21aa": n.WIDEREL,
    3736. 

  3736. "\u21bc": n.WIDEREL,
    3737. 

  3737. "\u21bd": n.WIDEREL,
    3738. 

  3738. "\u21c0": n.WIDEREL,
    3739. 

  3739. "\u21c1": n.WIDEREL,
    3740. 

  3740. "\u21cc": n.WIDEREL,
    3741. 

  3741. "\u21d0": n.WIDEREL,
    3742. 

  3742. "\u21d1": n.RELSTRETCH,
    3743. 

  3743. "\u21d2": n.WIDEREL,
    3744. 

  3744. "\u21d3": n.RELSTRETCH,
    3745. 

  3745. "\u21d4": n.WIDEREL,
    3746. 

  3746. "\u21d5": n.RELSTRETCH,
    3747. 

  3747. "\u2208": n.REL,
    3748. 

  3748. "\u2209": n.REL,
    3749. 

  3749. "\u220b": n.REL,
    3750. 

  3750. "\u2212": n.BIN4,
    3751. 

  3751. "\u2213": n.BIN4,
    3752. 

  3752. "\u2215": n.TALLBIN,
    3753. 

  3753. "\u2216": n.BIN4,
    3754. 

  3754. "\u2217": n.BIN4,
    3755. 

  3755. "\u2218": n.BIN4,
    3756. 

  3756. "\u2219": n.BIN4,
    3757. 

  3757. "\u221d": n.REL,
    3758. 

  3758. "\u2223": n.REL,
    3759. 

  3759. "\u2225": n.REL,
    3760. 

  3760. "\u2227": n.BIN4,
    3761. 

  3761. "\u2228": n.BIN4,
    3762. 

  3762. "\u2229": n.BIN4,
    3763. 

  3763. "\u222a": n.BIN4,
    3764. 

  3764. "\u223c": n.REL,
    3765. 

  3765. "\u2240": n.BIN4,
    3766. 

  3766. "\u2243": n.REL,
    3767. 

  3767. "\u2245": n.REL,
    3768. 

  3768. "\u2248": n.REL,
    3769. 

  3769. "\u224d": n.REL,
    3770. 

  3770. "\u2250": n.REL,
    3771. 

  3771. "\u2260": n.REL,
    3772. 

  3772. "\u2261": n.REL,
    3773. 

  3773. "\u2264": n.REL,
    3774. 

  3774. "\u2265": n.REL,
    3775. 

  3775. "\u226a": n.REL,
    3776. 

  3776. "\u226b": n.REL,
    3777. 

  3777. "\u227a": n.REL,
    3778. 

  3778. "\u227b": n.REL,
    3779. 

  3779. "\u2282": n.REL,
    3780. 

  3780. "\u2283": n.REL,
    3781. 

  3781. "\u2286": n.REL,
    3782. 

  3782. "\u2287": n.REL,
    3783. 

  3783. "\u228e": n.BIN4,
    3784. 

  3784. "\u2291": n.REL,
    3785. 

  3785. "\u2292": n.REL,
    3786. 

  3786. "\u2293": n.BIN4,
    3787. 

  3787. "\u2294": n.BIN4,
    3788. 

  3788. "\u2295": n.BIN4,
    3789. 

  3789. "\u2296": n.BIN4,
    3790. 

  3790. "\u2297": n.BIN4,
    3791. 

  3791. "\u2298": n.BIN4,
    3792. 

  3792. "\u2299": n.BIN4,
    3793. 

  3793. "\u22a2": n.REL,
    3794. 

  3794. "\u22a3": n.REL,
    3795. 

  3795. "\u22a4": n.ORD55,
    3796. 

  3796. "\u22a5": n.REL,
    3797. 

  3797. "\u22a8": n.REL,
    3798. 

  3798. "\u22c4": n.BIN4,
    3799. 

  3799. "\u22c5": n.BIN4,
    3800. 

  3800. "\u22c6": n.BIN4,
    3801. 

  3801. "\u22c8": n.REL,
    3802. 

  3802. "\u22ee": n.ORD55,
    3803. 

  3803. "\u22ef": n.INNER,
    3804. 

  3804. "\u22f1": [ 5, 5, t.INNER ],
    3805. 

  3805. "\u25b3": n.BIN4,
    3806. 

  3806. "\u25b5": n.BIN4,
    3807. 

  3807. "\u25b9": n.BIN4,
    3808. 

  3808. "\u25bd": n.BIN4,
    3809. 

  3809. "\u25bf": n.BIN4,
    3810. 

  3810. "\u25c3": n.BIN4,
    3811. 

  3811. "\u2758": n.REL,
    3812. 

  3812. "\u27f5": n.WIDEREL,
    3813. 

  3813. "\u27f6": n.WIDEREL,
    3814. 

  3814. "\u27f7": n.WIDEREL,
    3815. 

  3815. "\u27f8": n.WIDEREL,
    3816. 

  3816. "\u27f9": n.WIDEREL,
    3817. 

  3817. "\u27fa": n.WIDEREL,
    3818. 

  3818. "\u27fc": n.WIDEREL,
    3819. 

  3819. "\u2a2f": n.BIN4,
    3820. 

  3820. "\u2a3f": n.BIN4,
    3821. 

  3821. "\u2aaf": n.REL,
    3822. 

  3822. "\u2ab0": n.REL,
    3823. 

  3823. "\u00b1": n.BIN4,
    3824. 

  3824. "\u00b7": n.BIN4,
    3825. 

  3825. "\u00d7": n.BIN4,
    3826. 

  3826. "\u00f7": n.BIN4,
    3827. 

  3827. "*": n.BIN3,
    3828. 

  3828. "+": n.BIN4,
    3829. 

  3829. ",": [ 0, 3, t.PUNCT, {
    3830. 

  3830. linebreakstyle: "after",
    3831. 

  3831. separator: !0
    3832. 

  3832. } ],
    3833. 

  3833. "-": n.BIN4,
    3834. 

  3834. ".": [ 3, 3, t.ORD ],
    3835. 

  3835. "/": n.ORD11,
    3836. 

  3836. ":": [ 1, 2, t.REL ],
    3837. 

  3837. ";": [ 0, 3, t.PUNCT, {
    3838. 

  3838. linebreakstyle: "after",
    3839. 

  3839. separator: !0
    3840. 

  3840. } ],
    3841. 

  3841. "<": n.REL,
    3842. 

  3842. "=": n.REL,
    3843. 

  3843. ">": n.REL,
    3844. 

  3844. "?": [ 1, 1, t.CLOSE ],
    3845. 

  3845. "\\": n.ORD,
    3846. 

  3846. "^": n.ORD11,
    3847. 

  3847. _: n.ORD11,
    3848. 

  3848. "|": [ 2, 2, t.ORD, {
    3849. 

  3849. fence: !0,
    3850. 

  3850. stretchy: !0,
    3851. 

  3851. symmetric: !0
    3852. 

  3852. } ],
    3853. 

  3853. "#": n.ORD,
    3854. 

  3854. $: n.ORD,
    3855. 

  3855. ".": [ 0, 3, t.PUNCT, {
    3856. 

  3856. separator: !0
    3857. 

  3857. } ],
    3858. 

  3858. "\u02b9": n.ORD,
    3859. 

  3859. "\u0300": n.ACCENT,
    3860. 

  3860. "\u0301": n.ACCENT,
    3861. 

  3861. "\u0303": n.WIDEACCENT,
    3862. 

  3862. "\u0304": n.ACCENT,
    3863. 

  3863. "\u0306": n.ACCENT,
    3864. 

  3864. "\u0307": n.ACCENT,
    3865. 

  3865. "\u0308": n.ACCENT,
    3866. 

  3866. "\u030c": n.ACCENT,
    3867. 

  3867. "\u0332": n.WIDEACCENT,
    3868. 

  3868. "\u0338": n.REL4,
    3869. 

  3869. "\u2015": [ 0, 0, t.ORD, {
    3870. 

  3870. stretchy: !0
    3871. 

  3871. } ],
    3872. 

  3872. "\u2017": [ 0, 0, t.ORD, {
    3873. 

  3873. stretchy: !0
    3874. 

  3874. } ],
    3875. 

  3875. "\u2020": n.BIN3,
    3876. 

  3876. "\u2021": n.BIN3,
    3877. 

  3877. "\u20d7": n.ACCENT,
    3878. 

  3878. "\u2111": n.ORD,
    3879. 

  3879. "\u2113": n.ORD,
    3880. 

  3880. "\u2118": n.ORD,
    3881. 

  3881. "\u211c": n.ORD,
    3882. 

  3882. "\u2205": n.ORD,
    3883. 

  3883. "\u221e": n.ORD,
    3884. 

  3884. "\u2305": n.BIN3,
    3885. 

  3885. "\u2306": n.BIN3,
    3886. 

  3886. "\u2322": n.REL4,
    3887. 

  3887. "\u2323": n.REL4,
    3888. 

  3888. "\u2329": n.OPEN,
    3889. 

  3889. "\u232a": n.CLOSE,
    3890. 

  3890. "\u23aa": n.ORD,
    3891. 

  3891. "\u23af": [ 0, 0, t.ORD, {
    3892. 

  3892. stretchy: !0
    3893. 

  3893. } ],
    3894. 

  3894. "\u23b0": n.OPEN,
    3895. 

  3895. "\u23b1": n.CLOSE,
    3896. 

  3896. "\u2500": n.ORD,
    3897. 

  3897. "\u25ef": n.BIN3,
    3898. 

  3898. "\u2660": n.ORD,
    3899. 

  3899. "\u2661": n.ORD,
    3900. 

  3900. "\u2662": n.ORD,
    3901. 

  3901. "\u2663": n.ORD,
    3902. 

  3902. "\u3008": n.OPEN,
    3903. 

  3903. "\u3009": n.CLOSE,
    3904. 

  3904. "\ufe37": n.WIDEACCENT,
    3905. 

  3905. "\ufe38": n.WIDEACCENT
    3906. 

  3906. }
    3907. 

  3907. }
    3908. 

  3908. }, {
    3909. 

  3909. OPTYPES: n
    3910. 

  3910. }), e.mo.prototype.OPTABLE.infix["^"] = n.WIDEREL, e.mo.prototype.OPTABLE.infix._ = n.WIDEREL;
    3911. 

  3911. }(MathJax.ElementJax.mml), MathJax.ElementJax.mml.loadComplete("jax.js"), MathJax.InputJax.TeX = MathJax.InputJax({
    3912. 

  3912. id: "TeX",
    3913. 

  3913. version: "2.1",
    3914. 

  3914. directory: MathJax.InputJax.directory + "/TeX",
    3915. 

  3915. extensionDir: MathJax.InputJax.extensionDir + "/TeX",
    3916. 

  3916. config: {
    3917. 

  3917. TagSide: "right",
    3918. 

  3918. TagIndent: "0.8em",
    3919. 

  3919. MultLineWidth: "85%",
    3920. 

  3920. equationNumbers: {
    3921. 

  3921. autoNumber: "none",
    3922. 

  3922. formatNumber: function(e) {
    3923. 

  3923. return e;
    3924. 

  3924. },
    3925. 

  3925. formatTag: function(e) {
    3926. 

  3926. return "(" + e + ")";
    3927. 

  3927. },
    3928. 

  3928. formatID: function(e) {
    3929. 

  3929. return "mjx-eqn-" + String(e).replace(/[:"'<>&]/g, "");
    3930. 

  3930. },
    3931. 

  3931. formatURL: function(e) {
    3932. 

  3932. return "#" + escape(e);
    3933. 

  3933. },
    3934. 

  3934. useLabelIds: !0
    3935. 

  3935. }
    3936. 

  3936. }
    3937. 

  3937. }), MathJax.InputJax.TeX.Register("math/tex"), MathJax.InputJax.TeX.loadComplete("config.js"), function(e, t, n) {
    3938. 

  3938. var r, i = "\u00a0", s = MathJax.Object.Subclass({
    3939. 

  3939. Init: function(e, t) {
    3940. 

  3940. this.global = {
    3941. 

  3941. isInner: t
    3942. 

  3942. }, this.data = [ o.start(this.global) ], e && (this.data[0].env = e), this.env = this.data[0].env;
    3943. 

  3943. },
    3944. 

  3944. Push: function() {
    3945. 

  3945. var e, t, n, i;
    3946. 

  3946. for (e = 0, t = arguments.length; e < t; e++) {
    3947. 

  3947. n = arguments[e], n instanceof r.mbase && (n = o.mml(n)), n.global = this.global, i = this.data.length ? this.Top().checkItem(n) : !0;
    3948. 

  3948. if (i instanceof Array) this.Pop(), this.Push.apply(this, i); else if (i instanceof o) this.Pop(), this.Push(i); else if (i) {
    3949. 

  3949. this.data.push(n);
    3950. 

  3950. if (n.env) {
    3951. 

  3951. for (var s in this.env) this.env.hasOwnProperty(s) && (n.env[s] = this.env[s]);
    3952. 

  3952. this.env = n.env;
    3953. 

  3953. } else n.env = this.env;
    3954. 

  3954. }
    3955. 

  3955. }
    3956. 

  3956. },
    3957. 

  3957. Pop: function() {
    3958. 

  3958. var e = this.data.pop();
    3959. 

  3959. return e.isOpen || delete e.env, this.env = this.data.length ? this.Top().env : {}, e;
    3960. 

  3960. },
    3961. 

  3961. Top: function(e) {
    3962. 

  3962. return e == null && (e = 1), this.data.length < e ? null : this.data[this.data.length - e];
    3963. 

  3963. },
    3964. 

  3964. Prev: function(e) {
    3965. 

  3965. var t = this.Top();
    3966. 

  3966. return e ? t.data[t.data.length - 1] : t.Pop();
    3967. 

  3967. },
    3968. 

  3968. toString: function() {
    3969. 

  3969. return "stack[\n  " + this.data.join("\n  ") + "\n]";
    3970. 

  3970. }
    3971. 

  3971. }), o = s.Item = MathJax.Object.Subclass({
    3972. 

  3972. type: "base",
    3973. 

  3973. closeError: "Extra close brace or missing open brace",
    3974. 

  3974. rightError: "Missing \\left or extra \\right",
    3975. 

  3975. Init: function() {
    3976. 

  3976. this.isOpen && (this.env = {}), this.data = [], this.Push.apply(this, arguments);
    3977. 

  3977. },
    3978. 

  3978. Push: function() {
    3979. 

  3979. this.data.push.apply(this.data, arguments);
    3980. 

  3980. },
    3981. 

  3981. Pop: function() {
    3982. 

  3982. return this.data.pop();
    3983. 

  3983. },
    3984. 

  3984. mmlData: function(e, t) {
    3985. 

  3985. return e == null && (e = !0), this.data.length === 1 && !t ? this.data[0] : r.mrow.apply(r, this.data).With(e ? {
    3986. 

  3986. inferred: !0
    3987. 

  3987. } : {});
    3988. 

  3988. },
    3989. 

  3989. checkItem: function(t) {
    3990. 

  3990. t.type === "over" && this.isOpen && (t.num = this.mmlData(!1), this.data = []);
    3991. 

  3991. if (t.type === "cell" && this.isOpen) {
    3992. 

  3992. if (t.linebreak) return !1;
    3993. 

  3993. e.Error("Misplaced " + t.name);
    3994. 

  3994. }
    3995. 

  3995. return t.isClose && this[t.type + "Error"] && e.Error(this[t.type + "Error"]), t.isNotStack ? (this.Push(t.data[0]), !1) : !0;
    3996. 

  3996. },
    3997. 

  3997. With: function(e) {
    3998. 

  3998. for (var t in e) e.hasOwnProperty(t) && (this[t] = e[t]);
    3999. 

  3999. return this;
    4000. 

  4000. },
    4001. 

  4001. toString: function() {
    4002. 

  4002. return this.type + "[" + this.data.join("; ") + "]";
    4003. 

  4003. }
    4004. 

  4004. });
    4005. 

  4005. o.start = o.Subclass({
    4006. 

  4006. type: "start",
    4007. 

  4007. isOpen: !0,
    4008. 

  4008. Init: function(e) {
    4009. 

  4009. this.SUPER(arguments).Init.call(this), this.global = e;
    4010. 

  4010. },
    4011. 

  4011. checkItem: function(e) {
    4012. 

  4012. return e.type === "stop" ? o.mml(this.mmlData()) : this.SUPER(arguments).checkItem.call(this, e);
    4013. 

  4013. }
    4014. 

  4014. }), o.stop = o.Subclass({
    4015. 

  4015. type: "stop",
    4016. 

  4016. isClose: !0
    4017. 

  4017. }), o.open = o.Subclass({
    4018. 

  4018. type: "open",
    4019. 

  4019. isOpen: !0,
    4020. 

  4020. stopError: "Extra open brace or missing close brace",
    4021. 

  4021. checkItem: function(e) {
    4022. 

  4022. if (e.type === "close") {
    4023. 

  4023. var t = this.mmlData();
    4024. 

  4024. return o.mml(r.TeXAtom(t));
    4025. 

  4025. }
    4026. 

  4026. return this.SUPER(arguments).checkItem.call(this, e);
    4027. 

  4027. }
    4028. 

  4028. }), o.close = o.Subclass({
    4029. 

  4029. type: "close",
    4030. 

  4030. isClose: !0
    4031. 

  4031. }), o.prime = o.Subclass({
    4032. 

  4032. type: "prime",
    4033. 

  4033. checkItem: function(e) {
    4034. 

  4034. return this.data[0].type !== "msubsup" ? [ r.msup(this.data[0], this.data[1]), e ] : (this.data[0].SetData(this.data[0].sup, this.data[1]), [ this.data[0], e ]);
    4035. 

  4035. }
    4036. 

  4036. }), o.subsup = o.Subclass({
    4037. 

  4037. type: "subsup",
    4038. 

  4038. stopError: "Missing superscript or subscript argument",
    4039. 

  4039. checkItem: function(t) {
    4040. 

  4040. var n = [ "", "subscript", "superscript" ][this.position];
    4041. 

  4041. if (t.type === "open" || t.type === "left") return !0;
    4042. 

  4042. if (t.type === "mml") return this.primes && (this.position !== 2 ? this.data[0].SetData(2, this.primes) : t.data[0] = r.mrow(this.primes.With({
    4043. 

  4043. variantForm: !0
    4044. 

  4044. }), t.data[0])), this.data[0].SetData(this.position, t.data[0]), o.mml(this.data[0]);
    4045. 

  4045. this.SUPER(arguments).checkItem.call(this, t) && e.Error("Missing open brace for " + n);
    4046. 

  4046. },
    4047. 

  4047. Pop: function() {}
    4048. 

  4048. }), o.over = o.Subclass({
    4049. 

  4049. type: "over",
    4050. 

  4050. isClose: !0,
    4051. 

  4051. name: "\\over",
    4052. 

  4052. checkItem: function(t, n) {
    4053. 

  4053. t.type === "over" && e.Error("Ambiguous use of " + t.name);
    4054. 

  4054. if (t.isClose) {
    4055. 

  4055. var i = r.mfrac(this.num, this.mmlData(!1));
    4056. 

  4056. this.thickness != null && (i.linethickness = this.thickness);
    4057. 

  4057. if (this.open || this.close) i.texClass = r.TEXCLASS.INNER, i.texWithDelims = !0, i = r.mfenced(i).With({
    4058. 

  4058. open: this.open,
    4059. 

  4059. close: this.close
    4060. 

  4060. });
    4061. 

  4061. return [ o.mml(i), t ];
    4062. 

  4062. }
    4063. 

  4063. return this.SUPER(arguments).checkItem.call(this, t);
    4064. 

  4064. },
    4065. 

  4065. toString: function() {
    4066. 

  4066. return "over[" + this.num + " / " + this.data.join("; ") + "]";
    4067. 

  4067. }
    4068. 

  4068. }), o.left = o.Subclass({
    4069. 

  4069. type: "left",
    4070. 

  4070. isOpen: !0,
    4071. 

  4071. delim: "(",
    4072. 

  4072. stopError: "Extra \\left or missing \\right",
    4073. 

  4073. checkItem: function(e) {
    4074. 

  4074. if (e.type === "right") {
    4075. 

  4075. var t = r.mfenced(this.data.length === 1 ? this.data[0] : r.mrow.apply(r, this.data));
    4076. 

  4076. return o.mml(t.With({
    4077. 

  4077. open: this.delim,
    4078. 

  4078. close: e.delim
    4079. 

  4079. }));
    4080. 

  4080. }
    4081. 

  4081. return this.SUPER(arguments).checkItem.call(this, e);
    4082. 

  4082. }
    4083. 

  4083. }), o.right = o.Subclass({
    4084. 

  4084. type: "right",
    4085. 

  4085. isClose: !0,
    4086. 

  4086. delim: ")"
    4087. 

  4087. }), o.begin = o.Subclass({
    4088. 

  4088. type: "begin",
    4089. 

  4089. isOpen: !0,
    4090. 

  4090. checkItem: function(t) {
    4091. 

  4091. return t.type === "end" ? (t.name !== this.name && e.Error("\\begin{" + this.name + "} ended with \\end{" + t.name + "}"), this.end ? this.parse[this.end].call(this.parse, this, this.data) : o.mml(this.mmlData())) : (t.type === "stop" && e.Error("Missing \\end{" + this.name + "}"), this.SUPER(arguments).checkItem.call(this, t));
    4092. 

  4092. }
    4093. 

  4093. }), o.end = o.Subclass({
    4094. 

  4094. type: "end",
    4095. 

  4095. isClose: !0
    4096. 

  4096. }), o.style = o.Subclass({
    4097. 

  4097. type: "style",
    4098. 

  4098. checkItem: function(e) {
    4099. 

  4099. if (!e.isClose) return this.SUPER(arguments).checkItem.call(this, e);
    4100. 

  4100. var t = r.mstyle.apply(r, this.data).With(this.styles);
    4101. 

  4101. return [ o.mml(t), e ];
    4102. 

  4102. }
    4103. 

  4103. }), o.position = o.Subclass({
    4104. 

  4104. type: "position",
    4105. 

  4105. checkItem: function(t) {
    4106. 

  4106. t.isClose && e.Error("Missing box for " + this.name);
    4107. 

  4107. if (t.isNotStack) {
    4108. 

  4108. var n = t.mmlData();
    4109. 

  4109. switch (this.move) {
    4110. 

  4110. case "vertical":
    4111. 

  4111. return n = r.mpadded(n).With({
    4112. 

  4112. height: this.dh,
    4113. 

  4113. depth: this.dd,
    4114. 

  4114. voffset: this.dh
    4115. 

  4115. }), [ o.mml(n) ];
    4116. 

  4116. case "horizontal":
    4117. 

  4117. return [ o.mml(this.left), t, o.mml(this.right) ];
    4118. 

  4118. }
    4119. 

  4119. }
    4120. 

  4120. return this.SUPER(arguments).checkItem.call(this, t);
    4121. 

  4121. }
    4122. 

  4122. }), o.array = o.Subclass({
    4123. 

  4123. type: "array",
    4124. 

  4124. isOpen: !0,
    4125. 

  4125. arraydef: {},
    4126. 

  4126. Init: function() {
    4127. 

  4127. this.table = [], this.row = [], this.env = {}, this.frame = [], this.SUPER(arguments).Init.apply(this, arguments);
    4128. 

  4128. },
    4129. 

  4129. checkItem: function(t) {
    4130. 

  4130. if (t.isClose && t.type !== "over") {
    4131. 

  4131. if (t.isEntry) return this.EndEntry(), this.clearEnv(), !1;
    4132. 

  4132. if (t.isCR) return this.EndEntry(), this.EndRow(), this.clearEnv(), !1;
    4133. 

  4133. this.EndTable(), this.clearEnv();
    4134. 

  4134. var n = r.mtable.apply(r, this.table).With(this.arraydef);
    4135. 

  4135. if (this.frame.length === 4) n.frame = this.frame.dashed ? "dashed" : "solid"; else if (this.frame.length) {
    4136. 

  4136. n.hasFrame = !0, this.arraydef.rowlines && (this.arraydef.rowlines = this.arraydef.rowlines.replace(/none( none)+$/, "none")), n = r.menclose(n).With({
    4137. 

  4137. notation: this.frame.join(" "),
    4138. 

  4138. isFrame: !0
    4139. 

  4139. });
    4140. 

  4140. if ((this.arraydef.columnlines || "none") != "none" || (this.arraydef.rowlines || "none") != "none") n.padding = 0;
    4141. 

  4141. }
    4142. 

  4142. if (this.open || this.close) n = r.mfenced(n).With({
    4143. 

  4143. open: this.open,
    4144. 

  4144. close: this.close
    4145. 

  4145. });
    4146. 

  4146. n = o.mml(n);
    4147. 

  4147. if (this.requireClose) {
    4148. 

  4148. if (t.type === "close") return n;
    4149. 

  4149. e.Error("Missing close brace");
    4150. 

  4150. }
    4151. 

  4151. return [ n, t ];
    4152. 

  4152. }
    4153. 

  4153. return this.SUPER(arguments).checkItem.call(this, t);
    4154. 

  4154. },
    4155. 

  4155. EndEntry: function() {
    4156. 

  4156. this.row.push(r.mtd.apply(r, this.data)), this.data = [];
    4157. 

  4157. },
    4158. 

  4158. EndRow: function() {
    4159. 

  4159. this.table.push(r.mtr.apply(r, this.row)), this.row = [];
    4160. 

  4160. },
    4161. 

  4161. EndTable: function() {
    4162. 

  4162. if (this.data.length || this.row.length) this.EndEntry(), this.EndRow();
    4163. 

  4163. this.checkLines();
    4164. 

  4164. },
    4165. 

  4165. checkLines: function() {
    4166. 

  4166. if (this.arraydef.rowlines) {
    4167. 

  4167. var e = this.arraydef.rowlines.split(/ /);
    4168. 

  4168. e.length === this.table.length ? (this.frame.push("bottom"), e.pop(), this.arraydef.rowlines = e.join(" ")) : e.length < this.table.length - 1 && (this.arraydef.rowlines += " none");
    4169. 

  4169. }
    4170. 

  4170. if (this.rowspacing) {
    4171. 

  4171. var t = this.arraydef.rowspacing.split(/ /);
    4172. 

  4172. while (t.length < this.table.length) t.push(this.rowspacing + "em");
    4173. 

  4173. this.arraydef.rowspacing = t.join(" ");
    4174. 

  4174. }
    4175. 

  4175. },
    4176. 

  4176. clearEnv: function() {
    4177. 

  4177. for (var e in this.env) this.env.hasOwnProperty(e) && delete this.env[e];
    4178. 

  4178. }
    4179. 

  4179. }), o.cell = o.Subclass({
    4180. 

  4180. type: "cell",
    4181. 

  4181. isClose: !0
    4182. 

  4182. }), o.mml = o.Subclass({
    4183. 

  4183. type: "mml",
    4184. 

  4184. isNotStack: !0,
    4185. 

  4185. Add: function() {
    4186. 

  4186. return this.data.push.apply(this.data, arguments), this;
    4187. 

  4187. }
    4188. 

  4188. }), o.fn = o.Subclass({
    4189. 

  4189. type: "fn",
    4190. 

  4190. checkItem: function(e) {
    4191. 

  4191. if (this.data[0]) {
    4192. 

  4192. if (e.type !== "mml" || !e.data[0]) return [ this.data[0], e ];
    4193. 

  4193. if (e.data[0].isa(r.mspace)) return [ this.data[0], e ];
    4194. 

  4194. var t = e.data[0];
    4195. 

  4195. return t.isEmbellished() && (t = t.CoreMO()), [ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ][t.Get("texClass")] ? [ this.data[0], e ] : [ this.data[0], r.mo(r.entity("#x2061")).With({
    4196. 

  4196. texClass: r.TEXCLASS.NONE
    4197. 

  4197. }), e ];
    4198. 

  4198. }
    4199. 

  4199. return this.SUPER(arguments).checkItem.apply(this, arguments);
    4200. 

  4200. }
    4201. 

  4201. }), o.not = o.Subclass({
    4202. 

  4202. type: "not",
    4203. 

  4203. checkItem: function(e) {
    4204. 

  4204. var t, n;
    4205. 

  4205. if (e.type === "open" || e.type === "left") return !0;
    4206. 

  4206. if (e.type === "mml" && e.data[0].type.match(/^(mo|mi|mtext)$/)) {
    4207. 

  4207. t = e.data[0], n = t.data.join("");
    4208. 

  4208. if (n.length === 1 && !t.movesupsub) return n = o.not.remap[n.charCodeAt(0)], n ? t.SetData(0, r.chars(String.fromCharCode(n))) : t.Append(r.chars("\u0338")), e;
    4209. 

  4209. }
    4210. 

  4210. return t = r.mpadded(r.mtext("\u29f8")).With({
    4211. 

  4211. width: 0
    4212. 

  4212. }), t = r.TeXAtom(t).With({
    4213. 

  4213. texClass: r.TEXCLASS.REL
    4214. 

  4214. }), [ t, e ];
    4215. 

  4215. }
    4216. 

  4216. }), o.not.remap = {
    4217. 

  4217. 8592: 8602,
    4218. 

  4218. 8594: 8603,
    4219. 

  4219. 8596: 8622,
    4220. 

  4220. 8656: 8653,
    4221. 

  4221. 8658: 8655,
    4222. 

  4222. 8660: 8654,
    4223. 

  4223. 8712: 8713,
    4224. 

  4224. 8715: 8716,
    4225. 

  4225. 8739: 8740,
    4226. 

  4226. 8741: 8742,
    4227. 

  4227. 8764: 8769,
    4228. 

  4228. 126: 8769,
    4229. 

  4229. 8771: 8772,
    4230. 

  4230. 8773: 8775,
    4231. 

  4231. 8776: 8777,
    4232. 

  4232. 8781: 8813,
    4233. 

  4233. 61: 8800,
    4234. 

  4234. 8801: 8802,
    4235. 

  4235. 60: 8814,
    4236. 

  4236. 62: 8815,
    4237. 

  4237. 8804: 8816,
    4238. 

  4238. 8805: 8817,
    4239. 

  4239. 8818: 8820,
    4240. 

  4240. 8819: 8821,
    4241. 

  4241. 8822: 8824,
    4242. 

  4242. 8823: 8825,
    4243. 

  4243. 8826: 8832,
    4244. 

  4244. 8827: 8833,
    4245. 

  4245. 8834: 8836,
    4246. 

  4246. 8835: 8837,
    4247. 

  4247. 8838: 8840,
    4248. 

  4248. 8839: 8841,
    4249. 

  4249. 8866: 8876,
    4250. 

  4250. 8872: 8877,
    4251. 

  4251. 8873: 8878,
    4252. 

  4252. 8875: 8879,
    4253. 

  4253. 8828: 8928,
    4254. 

  4254. 8829: 8929,
    4255. 

  4255. 8849: 8930,
    4256. 

  4256. 8850: 8931,
    4257. 

  4257. 8882: 8938,
    4258. 

  4258. 8883: 8939,
    4259. 

  4259. 8884: 8940,
    4260. 

  4260. 8885: 8941,
    4261. 

  4261. 8707: 8708
    4262. 

  4262. }, o.dots = o.Subclass({
    4263. 

  4263. type: "dots",
    4264. 

  4264. checkItem: function(e) {
    4265. 

  4265. if (e.type === "open" || e.type === "left") return !0;
    4266. 

  4266. var t = this.ldots;
    4267. 

  4267. if (e.type === "mml" && e.data[0].isEmbellished()) {
    4268. 

  4268. var n = e.data[0].CoreMO().Get("texClass");
    4269. 

  4269. if (n === r.TEXCLASS.BIN || n === r.TEXCLASS.REL) t = this.cdots;
    4270. 

  4270. }
    4271. 

  4271. return [ t, e ];
    4272. 

  4272. }
    4273. 

  4273. });
    4274. 

  4274. var u = {
    4275. 

  4275. Add: function(e, t, n) {
    4276. 

  4276. t || (t = this);
    4277. 

  4277. for (var r in e) if (e.hasOwnProperty(r)) if (typeof e[r] != "object" || e[r] instanceof Array || typeof t[r] != "object" && typeof t[r] != "function") {
    4278. 

  4278. if (!t[r] || !t[r].isUser || !n) t[r] = e[r];
    4279. 

  4279. } else this.Add(e[r], t[r], e[r], n);
    4280. 

  4280. return t;
    4281. 

  4281. }
    4282. 

  4282. }, a = function() {
    4283. 

  4283. r = MathJax.ElementJax.mml, t.Insert(u, {
    4284. 

  4284. letter: /[a-z]/i,
    4285. 

  4285. digit: /[0-9.]/,
    4286. 

  4286. number: /^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,
    4287. 

  4287. special: {
    4288. 

  4288. "\\": "ControlSequence",
    4289. 

  4289. "{": "Open",
    4290. 

  4290. "}": "Close",
    4291. 

  4291. "~": "Tilde",
    4292. 

  4292. "^": "Superscript",
    4293. 

  4293. _: "Subscript",
    4294. 

  4294. " ": "Space",
    4295. 

  4295. "	": "Space",
    4296. 

  4296. "\r": "Space",
    4297. 

  4297. "\n": "Space",
    4298. 

  4298. "'": "Prime",
    4299. 

  4299. "%": "Comment",
    4300. 

  4300. "&": "Entry",
    4301. 

  4301. "#": "Hash",
    4302. 

  4302. "\u2019": "Prime"
    4303. 

  4303. },
    4304. 

  4304. remap: {
    4305. 

  4305. "-": "2212",
    4306. 

  4306. "*": "2217"
    4307. 

  4307. },
    4308. 

  4308. mathchar0mi: {
    4309. 

  4309. alpha: "03B1",
    4310. 

  4310. beta: "03B2",
    4311. 

  4311. gamma: "03B3",
    4312. 

  4312. delta: "03B4",
    4313. 

  4313. epsilon: "03F5",
    4314. 

  4314. zeta: "03B6",
    4315. 

  4315. eta: "03B7",
    4316. 

  4316. theta: "03B8",
    4317. 

  4317. iota: "03B9",
    4318. 

  4318. kappa: "03BA",
    4319. 

  4319. lambda: "03BB",
    4320. 

  4320. mu: "03BC",
    4321. 

  4321. nu: "03BD",
    4322. 

  4322. xi: "03BE",
    4323. 

  4323. omicron: "03BF",
    4324. 

  4324. pi: "03C0",
    4325. 

  4325. rho: "03C1",
    4326. 

  4326. sigma: "03C3",
    4327. 

  4327. tau: "03C4",
    4328. 

  4328. upsilon: "03C5",
    4329. 

  4329. phi: "03D5",
    4330. 

  4330. chi: "03C7",
    4331. 

  4331. psi: "03C8",
    4332. 

  4332. omega: "03C9",
    4333. 

  4333. varepsilon: "03B5",
    4334. 

  4334. vartheta: "03D1",
    4335. 

  4335. varpi: "03D6",
    4336. 

  4336. varrho: "03F1",
    4337. 

  4337. varsigma: "03C2",
    4338. 

  4338. varphi: "03C6",
    4339. 

  4339. S: [ "00A7", {
    4340. 

  4340. mathvariant: r.VARIANT.NORMAL
    4341. 

  4341. } ],
    4342. 

  4342. aleph: [ "2135", {
    4343. 

  4343. mathvariant: r.VARIANT.NORMAL
    4344. 

  4344. } ],
    4345. 

  4345. hbar: [ "210F", {
    4346. 

  4346. variantForm: !0
    4347. 

  4347. } ],
    4348. 

  4348. imath: "0131",
    4349. 

  4349. jmath: "0237",
    4350. 

  4350. ell: "2113",
    4351. 

  4351. wp: [ "2118", {
    4352. 

  4352. mathvariant: r.VARIANT.NORMAL
    4353. 

  4353. } ],
    4354. 

  4354. Re: [ "211C", {
    4355. 

  4355. mathvariant: r.VARIANT.NORMAL
    4356. 

  4356. } ],
    4357. 

  4357. Im: [ "2111", {
    4358. 

  4358. mathvariant: r.VARIANT.NORMAL
    4359. 

  4359. } ],
    4360. 

  4360. partial: [ "2202", {
    4361. 

  4361. mathvariant: r.VARIANT.NORMAL
    4362. 

  4362. } ],
    4363. 

  4363. infty: [ "221E", {
    4364. 

  4364. mathvariant: r.VARIANT.NORMAL
    4365. 

  4365. } ],
    4366. 

  4366. prime: [ "2032", {
    4367. 

  4367. mathvariant: r.VARIANT.NORMAL,
    4368. 

  4368. variantForm: !0
    4369. 

  4369. } ],
    4370. 

  4370. emptyset: [ "2205", {
    4371. 

  4371. mathvariant: r.VARIANT.NORMAL
    4372. 

  4372. } ],
    4373. 

  4373. nabla: [ "2207", {
    4374. 

  4374. mathvariant: r.VARIANT.NORMAL
    4375. 

  4375. } ],
    4376. 

  4376. top: [ "22A4", {
    4377. 

  4377. mathvariant: r.VARIANT.NORMAL
    4378. 

  4378. } ],
    4379. 

  4379. bot: [ "22A5", {
    4380. 

  4380. mathvariant: r.VARIANT.NORMAL
    4381. 

  4381. } ],
    4382. 

  4382. angle: [ "2220", {
    4383. 

  4383. mathvariant: r.VARIANT.NORMAL
    4384. 

  4384. } ],
    4385. 

  4385. triangle: [ "25B3", {
    4386. 

  4386. mathvariant: r.VARIANT.NORMAL
    4387. 

  4387. } ],
    4388. 

  4388. backslash: [ "2216", {
    4389. 

  4389. mathvariant: r.VARIANT.NORMAL,
    4390. 

  4390. variantForm: !0
    4391. 

  4391. } ],
    4392. 

  4392. forall: [ "2200", {
    4393. 

  4393. mathvariant: r.VARIANT.NORMAL
    4394. 

  4394. } ],
    4395. 

  4395. exists: [ "2203", {
    4396. 

  4396. mathvariant: r.VARIANT.NORMAL
    4397. 

  4397. } ],
    4398. 

  4398. neg: [ "00AC", {
    4399. 

  4399. mathvariant: r.VARIANT.NORMAL
    4400. 

  4400. } ],
    4401. 

  4401. lnot: [ "00AC", {
    4402. 

  4402. mathvariant: r.VARIANT.NORMAL
    4403. 

  4403. } ],
    4404. 

  4404. flat: [ "266D", {
    4405. 

  4405. mathvariant: r.VARIANT.NORMAL
    4406. 

  4406. } ],
    4407. 

  4407. natural: [ "266E", {
    4408. 

  4408. mathvariant: r.VARIANT.NORMAL
    4409. 

  4409. } ],
    4410. 

  4410. sharp: [ "266F", {
    4411. 

  4411. mathvariant: r.VARIANT.NORMAL
    4412. 

  4412. } ],
    4413. 

  4413. clubsuit: [ "2663", {
    4414. 

  4414. mathvariant: r.VARIANT.NORMAL
    4415. 

  4415. } ],
    4416. 

  4416. diamondsuit: [ "2662", {
    4417. 

  4417. mathvariant: r.VARIANT.NORMAL
    4418. 

  4418. } ],
    4419. 

  4419. heartsuit: [ "2661", {
    4420. 

  4420. mathvariant: r.VARIANT.NORMAL
    4421. 

  4421. } ],
    4422. 

  4422. spadesuit: [ "2660", {
    4423. 

  4423. mathvariant: r.VARIANT.NORMAL
    4424. 

  4424. } ]
    4425. 

  4425. },
    4426. 

  4426. mathchar0mo: {
    4427. 

  4427. surd: "221A",
    4428. 

  4428. coprod: [ "2210", {
    4429. 

  4429. texClass: r.TEXCLASS.OP,
    4430. 

  4430. movesupsub: !0
    4431. 

  4431. } ],
    4432. 

  4432. bigvee: [ "22C1", {
    4433. 

  4433. texClass: r.TEXCLASS.OP,
    4434. 

  4434. movesupsub: !0
    4435. 

  4435. } ],
    4436. 

  4436. bigwedge: [ "22C0", {
    4437. 

  4437. texClass: r.TEXCLASS.OP,
    4438. 

  4438. movesupsub: !0
    4439. 

  4439. } ],
    4440. 

  4440. biguplus: [ "2A04", {
    4441. 

  4441. texClass: r.TEXCLASS.OP,
    4442. 

  4442. movesupsub: !0
    4443. 

  4443. } ],
    4444. 

  4444. bigcap: [ "22C2", {
    4445. 

  4445. texClass: r.TEXCLASS.OP,
    4446. 

  4446. movesupsub: !0
    4447. 

  4447. } ],
    4448. 

  4448. bigcup: [ "22C3", {
    4449. 

  4449. texClass: r.TEXCLASS.OP,
    4450. 

  4450. movesupsub: !0
    4451. 

  4451. } ],
    4452. 

  4452. "int": [ "222B", {
    4453. 

  4453. texClass: r.TEXCLASS.OP
    4454. 

  4454. } ],
    4455. 

  4455. intop: [ "222B", {
    4456. 

  4456. texClass: r.TEXCLASS.OP,
    4457. 

  4457. movesupsub: !0,
    4458. 

  4458. movablelimits: !0
    4459. 

  4459. } ],
    4460. 

  4460. iint: [ "222C", {
    4461. 

  4461. texClass: r.TEXCLASS.OP
    4462. 

  4462. } ],
    4463. 

  4463. iiint: [ "222D", {
    4464. 

  4464. texClass: r.TEXCLASS.OP
    4465. 

  4465. } ],
    4466. 

  4466. prod: [ "220F", {
    4467. 

  4467. texClass: r.TEXCLASS.OP,
    4468. 

  4468. movesupsub: !0
    4469. 

  4469. } ],
    4470. 

  4470. sum: [ "2211", {
    4471. 

  4471. texClass: r.TEXCLASS.OP,
    4472. 

  4472. movesupsub: !0
    4473. 

  4473. } ],
    4474. 

  4474. bigotimes: [ "2A02", {
    4475. 

  4475. texClass: r.TEXCLASS.OP,
    4476. 

  4476. movesupsub: !0
    4477. 

  4477. } ],
    4478. 

  4478. bigoplus: [ "2A01", {
    4479. 

  4479. texClass: r.TEXCLASS.OP,
    4480. 

  4480. movesupsub: !0
    4481. 

  4481. } ],
    4482. 

  4482. bigodot: [ "2A00", {
    4483. 

  4483. texClass: r.TEXCLASS.OP,
    4484. 

  4484. movesupsub: !0
    4485. 

  4485. } ],
    4486. 

  4486. oint: [ "222E", {
    4487. 

  4487. texClass: r.TEXCLASS.OP
    4488. 

  4488. } ],
    4489. 

  4489. bigsqcup: [ "2A06", {
    4490. 

  4490. texClass: r.TEXCLASS.OP,
    4491. 

  4491. movesupsub: !0
    4492. 

  4492. } ],
    4493. 

  4493. smallint: [ "222B", {
    4494. 

  4494. largeop: !1
    4495. 

  4495. } ],
    4496. 

  4496. triangleleft: "25C3",
    4497. 

  4497. triangleright: "25B9",
    4498. 

  4498. bigtriangleup: "25B3",
    4499. 

  4499. bigtriangledown: "25BD",
    4500. 

  4500. wedge: "2227",
    4501. 

  4501. land: "2227",
    4502. 

  4502. vee: "2228",
    4503. 

  4503. lor: "2228",
    4504. 

  4504. cap: "2229",
    4505. 

  4505. cup: "222A",
    4506. 

  4506. ddagger: "2021",
    4507. 

  4507. dagger: "2020",
    4508. 

  4508. sqcap: "2293",
    4509. 

  4509. sqcup: "2294",
    4510. 

  4510. uplus: "228E",
    4511. 

  4511. amalg: "2A3F",
    4512. 

  4512. diamond: "22C4",
    4513. 

  4513. bullet: "2219",
    4514. 

  4514. wr: "2240",
    4515. 

  4515. div: "00F7",
    4516. 

  4516. odot: [ "2299", {
    4517. 

  4517. largeop: !1
    4518. 

  4518. } ],
    4519. 

  4519. oslash: [ "2298", {
    4520. 

  4520. largeop: !1
    4521. 

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    4522. 

  4522. otimes: [ "2297", {
    4523. 

  4523. largeop: !1
    4524. 

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    4525. 

  4525. ominus: [ "2296", {
    4526. 

  4526. largeop: !1
    4527. 

  4527. } ],
    4528. 

  4528. oplus: [ "2295", {
    4529. 

  4529. largeop: !1
    4530. 

  4530. } ],
    4531. 

  4531. mp: "2213",
    4532. 

  4532. pm: "00B1",
    4533. 

  4533. circ: "2218",
    4534. 

  4534. bigcirc: "25EF",
    4535. 

  4535. setminus: [ "2216", {
    4536. 

  4536. variantForm: !0
    4537. 

  4537. } ],
    4538. 

  4538. cdot: "22C5",
    4539. 

  4539. ast: "2217",
    4540. 

  4540. times: "00D7",
    4541. 

  4541. star: "22C6",
    4542. 

  4542. propto: "221D",
    4543. 

  4543. sqsubseteq: "2291",
    4544. 

  4544. sqsupseteq: "2292",
    4545. 

  4545. parallel: "2225",
    4546. 

  4546. mid: "2223",
    4547. 

  4547. dashv: "22A3",
    4548. 

  4548. vdash: "22A2",
    4549. 

  4549. leq: "2264",
    4550. 

  4550. le: "2264",
    4551. 

  4551. geq: "2265",
    4552. 

  4552. ge: "2265",
    4553. 

  4553. lt: "003C",
    4554. 

  4554. gt: "003E",
    4555. 

  4555. succ: "227B",
    4556. 

  4556. prec: "227A",
    4557. 

  4557. approx: "2248",
    4558. 

  4558. succeq: "2AB0",
    4559. 

  4559. preceq: "2AAF",
    4560. 

  4560. supset: "2283",
    4561. 

  4561. subset: "2282",
    4562. 

  4562. supseteq: "2287",
    4563. 

  4563. subseteq: "2286",
    4564. 

  4564. "in": "2208",
    4565. 

  4565. ni: "220B",
    4566. 

  4566. notin: "2209",
    4567. 

  4567. owns: "220B",
    4568. 

  4568. gg: "226B",
    4569. 

  4569. ll: "226A",
    4570. 

  4570. sim: "223C",
    4571. 

  4571. simeq: "2243",
    4572. 

  4572. perp: "22A5",
    4573. 

  4573. equiv: "2261",
    4574. 

  4574. asymp: "224D",
    4575. 

  4575. smile: "2323",
    4576. 

  4576. frown: "2322",
    4577. 

  4577. ne: "2260",
    4578. 

  4578. neq: "2260",
    4579. 

  4579. cong: "2245",
    4580. 

  4580. doteq: "2250",
    4581. 

  4581. bowtie: "22C8",
    4582. 

  4582. models: "22A8",
    4583. 

  4583. notChar: "29F8",
    4584. 

  4584. Leftrightarrow: "21D4",
    4585. 

  4585. Leftarrow: "21D0",
    4586. 

  4586. Rightarrow: "21D2",
    4587. 

  4587. leftrightarrow: "2194",
    4588. 

  4588. leftarrow: "2190",
    4589. 

  4589. gets: "2190",
    4590. 

  4590. rightarrow: "2192",
    4591. 

  4591. to: "2192",
    4592. 

  4592. mapsto: "21A6",
    4593. 

  4593. leftharpoonup: "21BC",
    4594. 

  4594. leftharpoondown: "21BD",
    4595. 

  4595. rightharpoonup: "21C0",
    4596. 

  4596. rightharpoondown: "21C1",
    4597. 

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    4598. 

  4598. searrow: "2198",
    4599. 

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    4600. 

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    4601. 

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    4602. 

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    4603. 

  4603. hookleftarrow: "21A9",
    4604. 

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    4605. 

  4605. Longleftarrow: "27F8",
    4606. 

  4606. longrightarrow: "27F6",
    4607. 

  4607. Longrightarrow: "27F9",
    4608. 

  4608. Longleftrightarrow: "27FA",
    4609. 

  4609. longleftrightarrow: "27F7",
    4610. 

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    4612. 

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    4613. 

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    4614. 

  4614. ddots: "22F1",
    4615. 

  4615. dotsc: "2026",
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    4617. 

  4617. dotsm: "22EF",
    4618. 

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    4880. 

  4880. iff: [ "Macro", "\\;\\Longleftrightarrow\\;" ],
    4881. 

  4881. skew: [ "Macro", "{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}", 3 ],
    4882. 

  4882. mathcal: [ "Macro", "{\\cal #1}", 1 ],
    4883. 

  4883. mathscr: [ "Macro", "{\\scr #1}", 1 ],
    4884. 

  4884. mathrm: [ "Macro", "{\\rm #1}", 1 ],
    4885. 

  4885. mathbf: [ "Macro", "{\\bf #1}", 1 ],
    4886. 

  4886. mathbb: [ "Macro", "{\\bbFont #1}", 1 ],
    4887. 

  4887. Bbb: [ "Macro", "{\\bbFont #1}", 1 ],
    4888. 

  4888. mathit: [ "Macro", "{\\it #1}", 1 ],
    4889. 

  4889. mathfrak: [ "Macro", "{\\frak #1}", 1 ],
    4890. 

  4890. mathsf: [ "Macro", "{\\sf #1}", 1 ],
    4891. 

  4891. mathtt: [ "Macro", "{\\tt #1}", 1 ],
    4892. 

  4892. textrm: [ "Macro", "\\mathord{\\rm\\text{#1}}", 1 ],
    4893. 

  4893. textit: [ "Macro", "\\mathord{\\it{\\text{#1}}}", 1 ],
    4894. 

  4894. textbf: [ "Macro", "\\mathord{\\bf{\\text{#1}}}", 1 ],
    4895. 

  4895. pmb: [ "Macro", "\\rlap{#1}\\kern1px{#1}", 1 ],
    4896. 

  4896. TeX: [ "Macro", "T\\kern-.14em\\lower.5ex{E}\\kern-.115em X" ],
    4897. 

  4897. LaTeX: [ "Macro", "L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX" ],
    4898. 

  4898. " ": [ "Macro", "\\text{ }" ],
    4899. 

  4899. not: "Not",
    4900. 

  4900. dots: "Dots",
    4901. 

  4901. space: "Tilde",
    4902. 

  4902. begin: "Begin",
    4903. 

  4903. end: "End",
    4904. 

  4904. newcommand: [ "Extension", "newcommand" ],
    4905. 

  4905. renewcommand: [ "Extension", "newcommand" ],
    4906. 

  4906. newenvironment: [ "Extension", "newcommand" ],
    4907. 

  4907. renewenvironment: [ "Extension", "newcommand" ],
    4908. 

  4908. def: [ "Extension", "newcommand" ],
    4909. 

  4909. let: [ "Extension", "newcommand" ],
    4910. 

  4910. verb: [ "Extension", "verb" ],
    4911. 

  4911. boldsymbol: [ "Extension", "boldsymbol" ],
    4912. 

  4912. tag: [ "Extension", "AMSmath" ],
    4913. 

  4913. notag: [ "Extension", "AMSmath" ],
    4914. 

  4914. label: [ "Extension", "AMSmath" ],
    4915. 

  4915. ref: [ "Extension", "AMSmath" ],
    4916. 

  4916. eqref: [ "Extension", "AMSmath" ],
    4917. 

  4917. nonumber: [ "Macro", "\\notag" ],
    4918. 

  4918. unicode: [ "Extension", "unicode" ],
    4919. 

  4919. color: "Color",
    4920. 

  4920. href: [ "Extension", "HTML" ],
    4921. 

  4921. "class": [ "Extension", "HTML" ],
    4922. 

  4922. style: [ "Extension", "HTML" ],
    4923. 

  4923. cssId: [ "Extension", "HTML" ],
    4924. 

  4924. bbox: [ "Extension", "bbox" ],
    4925. 

  4925. mmlToken: "MmlToken",
    4926. 

  4926. require: "Require"
    4927. 

  4927. },
    4928. 

  4928. environment: {
    4929. 

  4929. array: [ "AlignedArray" ],
    4930. 

  4930. matrix: [ "Array", null, null, null, "c" ],
    4931. 

  4931. pmatrix: [ "Array", null, "(", ")", "c" ],
    4932. 

  4932. bmatrix: [ "Array", null, "[", "]", "c" ],
    4933. 

  4933. Bmatrix: [ "Array", null, "\\{", "\\}", "c" ],
    4934. 

  4934. vmatrix: [ "Array", null, "\\vert", "\\vert", "c" ],
    4935. 

  4935. Vmatrix: [ "Array", null, "\\Vert", "\\Vert", "c" ],
    4936. 

  4936. cases: [ "Array", null, "\\{", ".", "ll", null, ".1em" ],
    4937. 

  4937. equation: [ null, "Equation" ],
    4938. 

  4938. "equation*": [ null, "Equation" ],
    4939. 

  4939. eqnarray: [ "ExtensionEnv", null, "AMSmath" ],
    4940. 

  4940. "eqnarray*": [ "ExtensionEnv", null, "AMSmath" ],
    4941. 

  4941. align: [ "ExtensionEnv", null, "AMSmath" ],
    4942. 

  4942. "align*": [ "ExtensionEnv", null, "AMSmath" ],
    4943. 

  4943. aligned: [ "ExtensionEnv", null, "AMSmath" ],
    4944. 

  4944. multline: [ "ExtensionEnv", null, "AMSmath" ],
    4945. 

  4945. "multline*": [ "ExtensionEnv", null, "AMSmath" ],
    4946. 

  4946. split: [ "ExtensionEnv", null, "AMSmath" ],
    4947. 

  4947. gather: [ "ExtensionEnv", null, "AMSmath" ],
    4948. 

  4948. "gather*": [ "ExtensionEnv", null, "AMSmath" ],
    4949. 

  4949. gathered: [ "ExtensionEnv", null, "AMSmath" ],
    4950. 

  4950. alignat: [ "ExtensionEnv", null, "AMSmath" ],
    4951. 

  4951. "alignat*": [ "ExtensionEnv", null, "AMSmath" ],
    4952. 

  4952. alignedat: [ "ExtensionEnv", null, "AMSmath" ]
    4953. 

  4953. },
    4954. 

  4954. p_height: 1.2 / .85
    4955. 

  4955. });
    4956. 

  4956. if (this.config.Macros) {
    4957. 

  4957. var e = this.config.Macros;
    4958. 

  4958. for (var n in e) e.hasOwnProperty(n) && (typeof e[n] == "string" ? u.macros[n] = [ "Macro", e[n] ] : u.macros[n] = [ "Macro" ].concat(e[n]), u.macros[n].isUser = !0);
    4959. 

  4959. }
    4960. 

  4960. }, f = MathJax.Object.Subclass({
    4961. 

  4961. Init: function(t, n) {
    4962. 

  4962. this.string = t, this.i = 0, this.macroCount = 0;
    4963. 

  4963. var r;
    4964. 

  4964. if (n) {
    4965. 

  4965. r = {};
    4966. 

  4966. for (var i in n) n.hasOwnProperty(i) && (r[i] = n[i]);
    4967. 

  4967. }
    4968. 

  4968. this.stack = e.Stack(r, !!n), this.Parse(), this.Push(o.stop());
    4969. 

  4969. },
    4970. 

  4970. Parse: function() {
    4971. 

  4971. var e, t;
    4972. 

  4972. while (this.i < this.string.length) e = this.string.charAt(this.i++), t = e.charCodeAt(0), t >= 55296 && t < 56320 && (e += this.string.charAt(this.i++)), u.special[e] ? this[u.special[e]](e) : u.letter.test(e) ? this.Variable(e) : u.digit.test(e) ? this.Number(e) : this.Other(e);
    4973. 

  4973. },
    4974. 

  4974. Push: function() {
    4975. 

  4975. this.stack.Push.apply(this.stack, arguments);
    4976. 

  4976. },
    4977. 

  4977. mml: function() {
    4978. 

  4978. return this.stack.Top().type !== "mml" ? null : this.stack.Top().data[0];
    4979. 

  4979. },
    4980. 

  4980. mmlToken: function(e) {
    4981. 

  4981. return e;
    4982. 

  4982. },
    4983. 

  4983. ControlSequence: function(e) {
    4984. 

  4984. var t = this.GetCS(), n = this.csFindMacro(t);
    4985. 

  4985. if (n) {
    4986. 

  4986. n instanceof Array || (n = [ n ]);
    4987. 

  4987. var r = n[0];
    4988. 

  4988. r instanceof Function || (r = this[r]), r.apply(this, [ e + t ].concat(n.slice(1)));
    4989. 

  4989. } else u.mathchar0mi[t] ? this.csMathchar0mi(t, u.mathchar0mi[t]) : u.mathchar0mo[t] ? this.csMathchar0mo(t, u.mathchar0mo[t]) : u.mathchar7[t] ? this.csMathchar7(t, u.mathchar7[t]) : u.delimiter["\\" + t] != null ? this.csDelimiter(t, u.delimiter["\\" + t]) : this.csUndefined(e + t);
    4990. 

  4990. },
    4991. 

  4991. csFindMacro: function(e) {
    4992. 

  4992. return u.macros[e];
    4993. 

  4993. },
    4994. 

  4994. csMathchar0mi: function(e, t) {
    4995. 

  4995. var n = {
    4996. 

  4996. mathvariant: r.VARIANT.ITALIC
    4997. 

  4997. };
    4998. 

  4998. t instanceof Array && (n = t[1], t = t[0]), this.Push(this.mmlToken(r.mi(r.entity("#x" + t)).With(n)));
    4999. 

  4999. },
    5000. 

  5000. csMathchar0mo: function(e, t) {
    5001. 

  5001. var n = {
    5002. 

  5002. stretchy: !1
    5003. 

  5003. };
    5004. 

  5004. t instanceof Array && (n = t[1], n.stretchy = !1, t = t[0]), this.Push(this.mmlToken(r.mo(r.entity("#x" + t)).With(n)));
    5005. 

  5005. },
    5006. 

  5006. csMathchar7: function(e, t) {
    5007. 

  5007. var n = {
    5008. 

  5008. mathvariant: r.VARIANT.NORMAL
    5009. 

  5009. };
    5010. 

  5010. t instanceof Array && (n = t[1], t = t[0]), this.stack.env.font && (n.mathvariant = this.stack.env.font), this.Push(this.mmlToken(r.mi(r.entity("#x" + t)).With(n)));
    5011. 

  5011. },
    5012. 

  5012. csDelimiter: function(e, t) {
    5013. 

  5013. var n = {};
    5014. 

  5014. t instanceof Array && (n = t[1], t = t[0]), t.length === 4 ? t = r.entity("#x" + t) : t = r.chars(t), this.Push(this.mmlToken(r.mo(t).With({
    5015. 

  5015. fence: !1,
    5016. 

  5016. stretchy: !1
    5017. 

  5017. }).With(n)));
    5018. 

  5018. },
    5019. 

  5019. csUndefined: function(t) {
    5020. 

  5020. e.Error("Undefined control sequence " + t);
    5021. 

  5021. },
    5022. 

  5022. Variable: function(e) {
    5023. 

  5023. var t = {};
    5024. 

  5024. this.stack.env.font && (t.mathvariant = this.stack.env.font), this.Push(this.mmlToken(r.mi(r.chars(e)).With(t)));
    5025. 

  5025. },
    5026. 

  5026. Number: function(e) {
    5027. 

  5027. var t, n = this.string.slice(this.i - 1).match(u.number);
    5028. 

  5028. n ? (t = r.mn(n[0].replace(/[{}]/g, "")), this.i += n[0].length - 1) : t = r.mo(r.chars(e)), this.stack.env.font && (t.mathvariant = this.stack.env.font), this.Push(this.mmlToken(t));
    5029. 

  5029. },
    5030. 

  5030. Open: function(e) {
    5031. 

  5031. this.Push(o.open());
    5032. 

  5032. },
    5033. 

  5033. Close: function(e) {
    5034. 

  5034. this.Push(o.close());
    5035. 

  5035. },
    5036. 

  5036. Tilde: function(e) {
    5037. 

  5037. this.Push(r.mtext(r.chars(i)));
    5038. 

  5038. },
    5039. 

  5039. Space: function(e) {},
    5040. 

  5040. Superscript: function(t) {
    5041. 

  5041. this.GetNext().match(/\d/) && (this.string = this.string.substr(0, this.i + 1) + " " + this.string.substr(this.i + 1));
    5042. 

  5042. var n, i, s, u = this.stack.Top();
    5043. 

  5043. u.type === "prime" ? (s = u.data[0], i = u.data[1], this.stack.Pop()) : (s = this.stack.Prev(), s || (s = r.mi(""))), s.isEmbellishedWrapper && (s = s.data[0].data[0]);
    5044. 

  5044. if (s.type === "msubsup") s.data[s.sup] && e.Error("Double exponent: use braces to clarify"), n = s.sup; else if (s.movesupsub) {
    5045. 

  5045. if (s.type !== "munderover" || s.data[s.over]) s.movablelimits && s.isa(r.mi) && (s = this.mi2mo(s)), s = r.munderover(s, null, null).With({
    5046. 

  5046. movesupsub: !0
    5047. 

  5047. });
    5048. 

  5048. n = s.over;
    5049. 

  5049. } else s = r.msubsup(s, null, null), n = s.sup;
    5050. 

  5050. this.Push(o.subsup(s).With({
    5051. 

  5051. position: n,
    5052. 

  5052. primes: i
    5053. 

  5053. }));
    5054. 

  5054. },
    5055. 

  5055. Subscript: function(t) {
    5056. 

  5056. this.GetNext().match(/\d/) && (this.string = this.string.substr(0, this.i + 1) + " " + this.string.substr(this.i + 1));
    5057. 

  5057. var n, i, s, u = this.stack.Top();
    5058. 

  5058. u.type === "prime" ? (s = u.data[0], i = u.data[1], this.stack.Pop()) : (s = this.stack.Prev(), s || (s = r.mi(""))), s.isEmbellishedWrapper && (s = s.data[0].data[0]);
    5059. 

  5059. if (s.type === "msubsup") s.data[s.sub] && e.Error("Double subscripts: use braces to clarify"), n = s.sub; else if (s.movesupsub) {
    5060. 

  5060. if (s.type !== "munderover" || s.data[s.under]) s.movablelimits && s.isa(r.mi) && (s = this.mi2mo(s)), s = r.munderover(s, null, null).With({
    5061. 

  5061. movesupsub: !0
    5062. 

  5062. });
    5063. 

  5063. n = s.under;
    5064. 

  5064. } else s = r.msubsup(s, null, null), n = s.sub;
    5065. 

  5065. this.Push(o.subsup(s).With({
    5066. 

  5066. position: n,
    5067. 

  5067. primes: i
    5068. 

  5068. }));
    5069. 

  5069. },
    5070. 

  5070. PRIME: "\u2032",
    5071. 

  5071. SMARTQUOTE: "\u2019",
    5072. 

  5072. Prime: function(t) {
    5073. 

  5073. var n = this.stack.Prev();
    5074. 

  5074. n || (n = r.mi()), n.type === "msubsup" && n.data[n.sup] && e.Error("Prime causes double exponent: use braces to clarify");
    5075. 

  5075. var i = "";
    5076. 

  5076. this.i--;
    5077. 

  5077. do i += this.PRIME, this.i++, t = this.GetNext(); while (t === "'" || t === this.SMARTQUOTE);
    5078. 

  5078. i = [ "", "\u2032", "\u2033", "\u2034", "\u2057" ][i.length] || i, this.Push(o.prime(n, this.mmlToken(r.mo(i))));
    5079. 

  5079. },
    5080. 

  5080. mi2mo: function(e) {
    5081. 

  5081. var t = r.mo();
    5082. 

  5082. t.Append.apply(t, e.data);
    5083. 

  5083. var n;
    5084. 

  5084. for (n in t.defaults) t.defaults.hasOwnProperty(n) && e[n] != null && (t[n] = e[n]);
    5085. 

  5085. for (n in r.copyAttributes) r.copyAttributes.hasOwnProperty(n) && e[n] != null && (t[n] = e[n]);
    5086. 

  5086. return t;
    5087. 

  5087. },
    5088. 

  5088. Comment: function(e) {
    5089. 

  5089. while (this.i < this.string.length && this.string.charAt(this.i) != "\n") this.i++;
    5090. 

  5090. },
    5091. 

  5091. Hash: function(t) {
    5092. 

  5092. e.Error("You can't use 'macro parameter character #' in math mode");
    5093. 

  5093. },
    5094. 

  5094. Other: function(e) {
    5095. 

  5095. var t = {
    5096. 

  5096. stretchy: !1
    5097. 

  5097. }, n;
    5098. 

  5098. this.stack.env.font && (t.mathvariant = this.stack.env.font), u.remap[e] ? (e = u.remap[e], e instanceof Array && (t = e[1], e = e[0]), n = r.mo(r.entity("#x" + e)).With(t)) : n = r.mo(e).With(t), n.autoDefault("texClass", true) == "" && (n = r.TeXAtom(n)), this.Push(this.mmlToken(n));
    5099. 

  5099. },
    5100. 

  5100. SetFont: function(e, t) {
    5101. 

  5101. this.stack.env.font = t;
    5102. 

  5102. },
    5103. 

  5103. SetStyle: function(e, t, n, r) {
    5104. 

  5104. this.stack.env.style = t, this.stack.env.level = r, this.Push(o.style().With({
    5105. 

  5105. styles: {
    5106. 

  5106. displaystyle: n,
    5107. 

  5107. scriptlevel: r
    5108. 

  5108. }
    5109. 

  5109. }));
    5110. 

  5110. },
    5111. 

  5111. SetSize: function(e, t) {
    5112. 

  5112. this.stack.env.size = t, this.Push(o.style().With({
    5113. 

  5113. styles: {
    5114. 

  5114. mathsize: t + "em"
    5115. 

  5115. }
    5116. 

  5116. }));
    5117. 

  5117. },
    5118. 

  5118. Color: function(e) {
    5119. 

  5119. var t = this.GetArgument(e), n = this.stack.env.color;
    5120. 

  5120. this.stack.env.color = t;
    5121. 

  5121. var i = this.ParseArg(e);
    5122. 

  5122. n ? this.stack.env.color : delete this.stack.env.color, this.Push(r.mstyle(i).With({
    5123. 

  5123. mathcolor: t
    5124. 

  5124. }));
    5125. 

  5125. },
    5126. 

  5126. Spacer: function(e, t) {
    5127. 

  5127. this.Push(r.mspace().With({
    5128. 

  5128. width: t,
    5129. 

  5129. mathsize: r.SIZE.NORMAL,
    5130. 

  5130. scriptlevel: 0
    5131. 

  5131. }));
    5132. 

  5132. },
    5133. 

  5133. LeftRight: function(e) {
    5134. 

  5134. this.Push(o[e.substr(1)]().With({
    5135. 

  5135. delim: this.GetDelimiter(e)
    5136. 

  5136. }));
    5137. 

  5137. },
    5138. 

  5138. Middle: function(t) {
    5139. 

  5139. var n = this.GetDelimiter(t);
    5140. 

  5140. this.stack.Top().type !== "left" && e.Error(t + " must be within \\left and \\right"), this.Push(r.mo(n).With({
    5141. 

  5141. stretchy: !0
    5142. 

  5142. }));
    5143. 

  5143. },
    5144. 

  5144. NamedFn: function(e, t) {
    5145. 

  5145. t || (t = e.substr(1));
    5146. 

  5146. var n = r.mi(t).With({
    5147. 

  5147. texClass: r.TEXCLASS.OP
    5148. 

  5148. });
    5149. 

  5149. this.Push(o.fn(this.mmlToken(n)));
    5150. 

  5150. },
    5151. 

  5151. NamedOp: function(e, t) {
    5152. 

  5152. t || (t = e.substr(1)), t = t.replace(/&thinsp;/, "\u2006");
    5153. 

  5153. var n = r.mo(t).With({
    5154. 

  5154. movablelimits: !0,
    5155. 

  5155. movesupsub: !0,
    5156. 

  5156. form: r.FORM.PREFIX,
    5157. 

  5157. texClass: r.TEXCLASS.OP
    5158. 

  5158. });
    5159. 

  5159. n.useMMLspacing &= ~n.SPACE_ATTR.form, this.Push(this.mmlToken(n));
    5160. 

  5160. },
    5161. 

  5161. Limits: function(t, n) {
    5162. 

  5162. var i = this.stack.Prev("nopop");
    5163. 

  5163. (!i || i.texClass !== r.TEXCLASS.OP) && e.Error(t + " is allowed only on operators"), i.movesupsub = n ? !0 : !1, i.movablelimits = !1;
    5164. 

  5164. },
    5165. 

  5165. Over: function(e, t, n) {
    5166. 

  5166. var r = o.over().With({
    5167. 

  5167. name: e
    5168. 

  5168. });
    5169. 

  5169. t || n ? (r.open = t, r.close = n) : e.match(/withdelims$/) && (r.open = this.GetDelimiter(e), r.close = this.GetDelimiter(e));
    5170. 

  5170. if (e.match(/^\\above/)) r.thickness = this.GetDimen(e); else if (e.match(/^\\atop/) || t || n) r.thickness = 0;
    5171. 

  5171. this.Push(r);
    5172. 

  5172. },
    5173. 

  5173. Frac: function(e) {
    5174. 

  5174. var t = this.ParseArg(e), n = this.ParseArg(e);
    5175. 

  5175. this.Push(r.mfrac(t, n));
    5176. 

  5176. },
    5177. 

  5177. Sqrt: function(t) {
    5178. 

  5178. var n = this.GetBrackets(t), i = this.GetArgument(t);
    5179. 

  5179. i === "\\frac" && (i += "{" + this.GetArgument(i) + "}{" + this.GetArgument(i) + "}");
    5180. 

  5180. var s = e.Parse(i, this.stack.env).mml();
    5181. 

  5181. n ? s = r.mroot(s, this.parseRoot(n)) : s = r.msqrt.apply(r, s.array()), this.Push(s);
    5182. 

  5182. },
    5183. 

  5183. Root: function(e) {
    5184. 

  5184. var t = this.GetUpTo(e, "\\of"), n = this.ParseArg(e);
    5185. 

  5185. this.Push(r.mroot(n, this.parseRoot(t)));
    5186. 

  5186. },
    5187. 

  5187. parseRoot: function(t) {
    5188. 

  5188. var n = this.stack.env, i = n.inRoot;
    5189. 

  5189. n.inRoot = !0;
    5190. 

  5190. var s = e.Parse(t, n);
    5191. 

  5191. t = s.mml();
    5192. 

  5192. var o = s.stack.global;
    5193. 

  5193. if (o.leftRoot || o.upRoot) t = r.mpadded(t), o.leftRoot && (t.width = o.leftRoot), o.upRoot && (t.voffset = o.upRoot, t.height = o.upRoot);
    5194. 

  5194. return n.inRoot = i, t;
    5195. 

  5195. },
    5196. 

  5196. MoveRoot: function(t, n) {
    5197. 

  5197. this.stack.env.inRoot || e.Error(t + " can appear only within a root"), this.stack.global[n] && e.Error("Multiple use of " + t);
    5198. 

  5198. var r = this.GetArgument(t);
    5199. 

  5199. r.match(/-?[0-9]+/) || e.Error("The argument to " + t + " must be an integer"), r = r / 15 + "em", r.substr(0, 1) !== "-" && (r = "+" + r), this.stack.global[n] = r;
    5200. 

  5200. },
    5201. 

  5201. Accent: function(e, t, n) {
    5202. 

  5202. var i = this.ParseArg(e), s = {
    5203. 

  5203. accent: !0
    5204. 

  5204. };
    5205. 

  5205. this.stack.env.font && (s.mathvariant = this.stack.env.font);
    5206. 

  5206. var o = this.mmlToken(r.mo(r.entity("#x" + t)).With(s));
    5207. 

  5207. o.stretchy = n ? !0 : !1, this.Push(r.TeXAtom(r.munderover(i, null, o).With({
    5208. 

  5208. accent: !0
    5209. 

  5209. })));
    5210. 

  5210. },
    5211. 

  5211. UnderOver: function(e, t, n) {
    5212. 

  5212. var i = {
    5213. 

  5213. o: "over",
    5214. 

  5214. u: "under"
    5215. 

  5215. }[e.charAt(1)], s = this.ParseArg(e);
    5216. 

  5216. s.Get("movablelimits") && (s.movablelimits = !1);
    5217. 

  5217. var o = r.munderover(s, null, null);
    5218. 

  5218. n && (o.movesupsub = !0), o.data[o[i]] = this.mmlToken(r.mo(r.entity("#x" + t)).With({
    5219. 

  5219. stretchy: !0,
    5220. 

  5220. accent: i == "under"
    5221. 

  5221. })), this.Push(o);
    5222. 

  5222. },
    5223. 

  5223. Overset: function(e) {
    5224. 

  5224. var t = this.ParseArg(e), n = this.ParseArg(e);
    5225. 

  5225. this.Push(r.mover(n, t));
    5226. 

  5226. },
    5227. 

  5227. Underset: function(e) {
    5228. 

  5228. var t = this.ParseArg(e), n = this.ParseArg(e);
    5229. 

  5229. this.Push(r.munder(n, t));
    5230. 

  5230. },
    5231. 

  5231. TeXAtom: function(t, n) {
    5232. 

  5232. var i = {
    5233. 

  5233. texClass: n
    5234. 

  5234. }, s;
    5235. 

  5235. if (n == r.TEXCLASS.OP) {
    5236. 

  5236. i.movesupsub = i.movablelimits = !0;
    5237. 

  5237. var u = this.GetArgument(t), a = u.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);
    5238. 

  5238. a ? (i.mathvariant = r.VARIANT.NORMAL, s = o.fn(this.mmlToken(r.mi(a[1]).With(i)))) : s = o.fn(r.TeXAtom(e.Parse(u, this.stack.env).mml()).With(i));
    5239. 

  5239. } else s = r.TeXAtom(this.ParseArg(t)).With(i);
    5240. 

  5240. this.Push(s);
    5241. 

  5241. },
    5242. 

  5242. MmlToken: function(t) {
    5243. 

  5243. var n = this.GetArgument(t), i = this.GetBrackets(t, "").replace(/^\s+/, ""), s = this.GetArgument(t), o = {
    5244. 

  5244. attrNames: []
    5245. 

  5245. }, u;
    5246. 

  5246. (!r[n] || !r[n].prototype.isToken) && e.Error(n + " is not a token element");
    5247. 

  5247. while (i !== "") u = i.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i), u || e.Error("Invalid MathML attribute: " + i), !r[n].prototype.defaults[u[1]] && !this.MmlTokenAllow[u[1]] && e.Error(u[1] + " is not a recognized attribute for " + n), o[u[1]] = u[2].replace(/^(['"])(.*)\1$/, "$2"), o.attrNames.push(u[1]), i = i.substr(u[0].length);
    5248. 

  5248. this.Push(this.mmlToken(r[n](s).With(o)));
    5249. 

  5249. },
    5250. 

  5250. MmlTokenAllow: {
    5251. 

  5251. fontfamily: 1,
    5252. 

  5252. fontsize: 1,
    5253. 

  5253. fontweight: 1,
    5254. 

  5254. fontstyle: 1,
    5255. 

  5255. color: 1,
    5256. 

  5256. background: 1,
    5257. 

  5257. id: 1,
    5258. 

  5258. "class": 1,
    5259. 

  5259. href: 1,
    5260. 

  5260. style: 1
    5261. 

  5261. },
    5262. 

  5262. Strut: function(e) {
    5263. 

  5263. this.Push(r.mpadded(r.mrow()).With({
    5264. 

  5264. height: "8.6pt",
    5265. 

  5265. depth: "3pt",
    5266. 

  5266. width: 0
    5267. 

  5267. }));
    5268. 

  5268. },
    5269. 

  5269. Phantom: function(e, t, n) {
    5270. 

  5270. var i = r.mphantom(this.ParseArg(e));
    5271. 

  5271. if (t || n) i = r.mpadded(i), n && (i.height = i.depth = 0), t && (i.width = 0);
    5272. 

  5272. this.Push(r.TeXAtom(i));
    5273. 

  5273. },
    5274. 

  5274. Smash: function(e) {
    5275. 

  5275. var t = this.trimSpaces(this.GetBrackets(e, "")), n = r.mpadded(this.ParseArg(e));
    5276. 

  5276. switch (t) {
    5277. 

  5277. case "b":
    5278. 

  5278. n.depth = 0;
    5279. 

  5279. break;
    5280. 

  5280. case "t":
    5281. 

  5281. n.height = 0;
    5282. 

  5282. break;
    5283. 

  5283. default:
    5284. 

  5284. n.height = n.depth = 0;
    5285. 

  5285. }
    5286. 

  5286. this.Push(r.TeXAtom(n));
    5287. 

  5287. },
    5288. 

  5288. Lap: function(e) {
    5289. 

  5289. var t = r.mpadded(this.ParseArg(e)).With({
    5290. 

  5290. width: 0
    5291. 

  5291. });
    5292. 

  5292. e === "\\llap" && (t.lspace = "-1 width"), this.Push(r.TeXAtom(t));
    5293. 

  5293. },
    5294. 

  5294. RaiseLower: function(e) {
    5295. 

  5295. var t = this.GetDimen(e), n = o.position().With({
    5296. 

  5296. name: e,
    5297. 

  5297. move: "vertical"
    5298. 

  5298. });
    5299. 

  5299. t.charAt(0) === "-" && (t = t.slice(1), e = {
    5300. 

  5300. raise: "\\lower",
    5301. 

  5301. lower: "\\raise"
    5302. 

  5302. }[e.substr(1)]), e === "\\lower" ? (n.dh = "-" + t, n.dd = "+" + t) : (n.dh = "+" + t, n.dd = "-" + t), this.Push(n);
    5303. 

  5303. },
    5304. 

  5304. MoveLeftRight: function(e) {
    5305. 

  5305. var t = this.GetDimen(e), n = t.charAt(0) === "-" ? t.slice(1) : "-" + t;
    5306. 

  5306. if (e === "\\moveleft") {
    5307. 

  5307. var i = t;
    5308. 

  5308. t = n, n = i;
    5309. 

  5309. }
    5310. 

  5310. this.Push(o.position().With({
    5311. 

  5311. name: e,
    5312. 

  5312. move: "horizontal",
    5313. 

  5313. left: r.mspace().With({
    5314. 

  5314. width: t,
    5315. 

  5315. mathsize: r.SIZE.NORMAL
    5316. 

  5316. }),
    5317. 

  5317. right: r.mspace().With({
    5318. 

  5318. width: n,
    5319. 

  5319. mathsize: r.SIZE.NORMAL
    5320. 

  5320. })
    5321. 

  5321. }));
    5322. 

  5322. },
    5323. 

  5323. Hskip: function(e) {
    5324. 

  5324. this.Push(r.mspace().With({
    5325. 

  5325. width: this.GetDimen(e),
    5326. 

  5326. mathsize: r.SIZE.NORMAL
    5327. 

  5327. }));
    5328. 

  5328. },
    5329. 

  5329. Rule: function(e, t) {
    5330. 

  5330. var n = this.GetDimen(e), i = this.GetDimen(e), s = this.GetDimen(e), o, u = {
    5331. 

  5331. width: n,
    5332. 

  5332. height: i,
    5333. 

  5333. depth: s
    5334. 

  5334. };
    5335. 

  5335. t !== "blank" ? (parseFloat(n) && parseFloat(i) + parseFloat(s) && (u.mathbackground = this.stack.env.color || "black"), o = r.mpadded(r.mrow()).With(u)) : o = r.mspace().With(u), this.Push(o);
    5336. 

  5336. },
    5337. 

  5337. MakeBig: function(e, t, n) {
    5338. 

  5338. n *= u.p_height, n = String(n).replace(/(\.\d\d\d).+/, "$1") + "em";
    5339. 

  5339. var i = this.GetDelimiter(e);
    5340. 

  5340. this.Push(r.TeXAtom(r.mo(i).With({
    5341. 

  5341. minsize: n,
    5342. 

  5342. maxsize: n,
    5343. 

  5343. scriptlevel: 0,
    5344. 

  5344. fence: !0,
    5345. 

  5345. stretchy: !0,
    5346. 

  5346. symmetric: !0
    5347. 

  5347. })).With({
    5348. 

  5348. texClass: t
    5349. 

  5349. }));
    5350. 

  5350. },
    5351. 

  5351. BuildRel: function(e) {
    5352. 

  5352. var t = this.ParseUpTo(e, "\\over"), n = this.ParseArg(e);
    5353. 

  5353. this.Push(r.TeXAtom(r.munderover(n, null, t)).With({
    5354. 

  5354. mclass: r.TEXCLASS.REL
    5355. 

  5355. }));
    5356. 

  5356. },
    5357. 

  5357. HBox: function(e, t) {
    5358. 

  5358. this.Push.apply(this, this.InternalMath(this.GetArgument(e), t));
    5359. 

  5359. },
    5360. 

  5360. FBox: function(e) {
    5361. 

  5361. this.Push(r.menclose.apply(r, this.InternalMath(this.GetArgument(e))).With({
    5362. 

  5362. notation: "box"
    5363. 

  5363. }));
    5364. 

  5364. },
    5365. 

  5365. Not: function(e) {
    5366. 

  5366. this.Push(o.not());
    5367. 

  5367. },
    5368. 

  5368. Dots: function(e) {
    5369. 

  5369. this.Push(o.dots().With({
    5370. 

  5370. ldots: this.mmlToken(r.mo(r.entity("#x2026")).With({
    5371. 

  5371. stretchy: !1
    5372. 

  5372. })),
    5373. 

  5373. cdots: this.mmlToken(r.mo(r.entity("#x22EF")).With({
    5374. 

  5374. stretchy: !1
    5375. 

  5375. }))
    5376. 

  5376. }));
    5377. 

  5377. },
    5378. 

  5378. Require: function(e) {
    5379. 

  5379. var t = this.GetArgument(e).replace(/.*\//, "").replace(/[^a-z0-9_.-]/ig, "");
    5380. 

  5380. this.Extension(null, t);
    5381. 

  5381. },
    5382. 

  5382. Extension: function(r, i, s) {
    5383. 

  5383. r && !typeof r === "string" && (r = r.name), i = e.extensionDir + "/" + i, i.match(/\.js$/) || (i += ".js"), n.loaded[n.fileURL(i)] || (r != null && delete u[s || "macros"][r.replace(/^\\/, "")], t.RestartAfter(n.Require(i)));
    5384. 

  5384. },
    5385. 

  5385. Macro: function(t, n, r, i) {
    5386. 

  5386. if (r) {
    5387. 

  5387. var s = [];
    5388. 

  5388. if (i != null) {
    5389. 

  5389. var o = this.GetBrackets(t);
    5390. 

  5390. s.push(o == null ? i : o);
    5391. 

  5391. }
    5392. 

  5392. for (var u = s.length; u < r; u++) s.push(this.GetArgument(t));
    5393. 

  5393. n = this.SubstituteArgs(s, n);
    5394. 

  5394. }
    5395. 

  5395. this.string = this.AddArgs(n, this.string.slice(this.i)), this.i = 0, ++this.macroCount > e.config.MAXMACROS && e.Error("MathJax maximum macro substitution count exceeded; is there a recursive macro call?");
    5396. 

  5396. },
    5397. 

  5397. Matrix: function(t, n, r, i, s, u, a, f) {
    5398. 

  5398. var l = this.GetNext();
    5399. 

  5399. l === "" && e.Error("Missing argument for " + t), l === "{" ? this.i++ : (this.string = l + "}" + this.string.slice(this.i + 1), this.i = 0);
    5400. 

  5400. var c = o.array().With({
    5401. 

  5401. requireClose: !0,
    5402. 

  5402. arraydef: {
    5403. 

  5403. rowspacing: u || "4pt",
    5404. 

  5404. columnspacing: s || "1em"
    5405. 

  5405. }
    5406. 

  5406. });
    5407. 

  5407. f && (c.isCases = !0);
    5408. 

  5408. if (n || r) c.open = n, c.close = r;
    5409. 

  5409. a === "D" && (c.arraydef.displaystyle = !0), i != null && (c.arraydef.columnalign = i), this.Push(c);
    5410. 

  5410. },
    5411. 

  5411. Entry: function(t) {
    5412. 

  5412. this.Push(o.cell().With({
    5413. 

  5413. isEntry: !0,
    5414. 

  5414. name: t
    5415. 

  5415. }));
    5416. 

  5416. if (this.stack.Top().isCases) {
    5417. 

  5417. var n = this.string, r = 0, i = this.i, s = n.length;
    5418. 

  5418. while (i < s) {
    5419. 

  5419. var u = n.charAt(i);
    5420. 

  5420. u === "{" ? (r++, i++) : u === "}" ? r === 0 ? s = 0 : (r--, i++) : u === "&" && r === 0 ? e.Error("Extra alignment tab in \\cases text") : u === "\\" ? n.substr(i).match(/^((\\cr)[^a-zA-Z]|\\\\)/) ? s = 0 : i += 2 : i++;
    5421. 

  5421. }
    5422. 

  5422. var a = n.substr(this.i, i - this.i);
    5423. 

  5423. a.match(/^\s*\\text[^a-zA-Z]/) || (this.Push.apply(this, this.InternalMath(a)), this.i = i);
    5424. 

  5424. }
    5425. 

  5425. },
    5426. 

  5426. Cr: function(e) {
    5427. 

  5427. this.Push(o.cell().With({
    5428. 

  5428. isCR: !0,
    5429. 

  5429. name: e
    5430. 

  5430. }));
    5431. 

  5431. },
    5432. 

  5432. CrLaTeX: function(t) {
    5433. 

  5433. var n;
    5434. 

  5434. this.string.charAt(this.i) === "[" && (n = this.GetBrackets(t, "").replace(/ /g, ""), n && !n.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/) && e.Error("Bracket argument to " + t + " must be a dimension")), this.Push(o.cell().With({
    5435. 

  5435. isCR: !0,
    5436. 

  5436. name: t,
    5437. 

  5437. linebreak: !0
    5438. 

  5438. }));
    5439. 

  5439. var i = this.stack.Top();
    5440. 

  5440. if (i.isa(o.array)) {
    5441. 

  5441. if (n && i.arraydef.rowspacing) {
    5442. 

  5442. var s = i.arraydef.rowspacing.split(/ /);
    5443. 

  5443. i.rowspacing || (i.rowspacing = this.dimen2em(s[0]));
    5444. 

  5444. while (s.length < i.table.length) s.push(this.Em(i.rowspacing));
    5445. 

  5445. s[i.table.length - 1] = this.Em(Math.max(0, i.rowspacing + this.dimen2em(n))), i.arraydef.rowspacing = s.join(" ");
    5446. 

  5446. }
    5447. 

  5447. } else n && this.Push(r.mspace().With({
    5448. 

  5448. depth: n
    5449. 

  5449. })), this.Push(r.mo().With({
    5450. 

  5450. linebreak: r.LINEBREAK.NEWLINE
    5451. 

  5451. }));
    5452. 

  5452. },
    5453. 

  5453. emPerInch: 7.2,
    5454. 

  5454. dimen2em: function(e) {
    5455. 

  5455. var t = e.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/), n = parseFloat(t[1] || "1"), r = t[2];
    5456. 

  5456. return r === "em" ? n : r === "ex" ? n * .43 : r === "pt" ? n / 10 : r === "pc" ? n * 1.2 : r === "in" ? n * this.emPerInch : r === "cm" ? n * this.emPerInch / 2.54 : r === "mm" ? n * this.emPerInch / 25.4 : r === "mu" ? n / 18 : 0;
    5457. 

  5457. },
    5458. 

  5458. Em: function(e) {
    5459. 

  5459. return Math.abs(e) < 6e-4 ? "0em" : e.toFixed(3).replace(/\.?0+$/, "") + "em";
    5460. 

  5460. },
    5461. 

  5461. HLine: function(t, n) {
    5462. 

  5462. n == null && (n = "solid");
    5463. 

  5463. var r = this.stack.Top();
    5464. 

  5464. (!r.isa(o.array) || r.data.length) && e.Error("Misplaced " + t);
    5465. 

  5465. if (r.table.length == 0) r.frame.push("top"); else {
    5466. 

  5466. var i = r.arraydef.rowlines ? r.arraydef.rowlines.split(/ /) : [];
    5467. 

  5467. while (i.length < r.table.length) i.push("none");
    5468. 

  5468. i[r.table.length - 1] = n, r.arraydef.rowlines = i.join(" ");
    5469. 

  5469. }
    5470. 

  5470. },
    5471. 

  5471. Begin: function(t) {
    5472. 

  5472. var n = this.GetArgument(t);
    5473. 

  5473. n.match(/[^a-z*]/i) && e.Error('Invalid environment name "' + n + '"');
    5474. 

  5474. var r = this.envFindName(n);
    5475. 

  5475. r || e.Error('Unknown environment "' + n + '"'), ++this.macroCount > e.config.MAXMACROS && e.Error("MathJax maximum substitution count exceeded; is there a recursive latex environment?"), r instanceof Array || (r = [ r ]);
    5476. 

  5476. var i = o.begin().With({
    5477. 

  5477. name: n,
    5478. 

  5478. end: r[1],
    5479. 

  5479. parse: this
    5480. 

  5480. });
    5481. 

  5481. r[0] && this[r[0]] && (i = this[r[0]].apply(this, [ i ].concat(r.slice(2)))), this.Push(i);
    5482. 

  5482. },
    5483. 

  5483. End: function(e) {
    5484. 

  5484. this.Push(o.end().With({
    5485. 

  5485. name: this.GetArgument(e)
    5486. 

  5486. }));
    5487. 

  5487. },
    5488. 

  5488. envFindName: function(e) {
    5489. 

  5489. return u.environment[e];
    5490. 

  5490. },
    5491. 

  5491. Equation: function(e, t) {
    5492. 

  5492. return t;
    5493. 

  5493. },
    5494. 

  5494. ExtensionEnv: function(e, t) {
    5495. 

  5495. this.Extension(e.name, t, "environment");
    5496. 

  5496. },
    5497. 

  5497. Array: function(e, t, n, r, i, s, u, a) {
    5498. 

  5498. r || (r = this.GetArgument("\\begin{" + e.name + "}"));
    5499. 

  5499. var f = ("c" + r).replace(/[^clr|:]/g, "").replace(/[^|:]([|:])+/g, "$1");
    5500. 

  5500. r = r.replace(/[^clr]/g, "").split("").join(" "), r = r.replace(/l/g, "left").replace(/r/g, "right").replace(/c/g, "center");
    5501. 

  5501. var l = o.array().With({
    5502. 

  5502. arraydef: {
    5503. 

  5503. columnalign: r,
    5504. 

  5504. columnspacing: i || "1em",
    5505. 

  5505. rowspacing: s || "4pt"
    5506. 

  5506. }
    5507. 

  5507. });
    5508. 

  5508. return f.match(/[|:]/) && (f.charAt(0).match(/[|:]/) && (l.frame.push("left"), l.frame.dashed = f.charAt(0) === ":"), f.charAt(f.length - 1).match(/[|:]/) && l.frame.push("right"), f = f.substr(1, f.length - 2), l.arraydef.columnlines = f.split("").join(" ").replace(/[^|: ]/g, "none").replace(/\|/g, "solid").replace(/:/g, "dashed")), t && (l.open = this.convertDelimiter(t)), n && (l.close = this.convertDelimiter(n)), u === "D" && (l.arraydef.displaystyle = !0), u === "S" && (l.arraydef.scriptlevel = 1), a && (l.arraydef.useHeight = !1), this.Push(e), l;
    5509. 

  5509. },
    5510. 

  5510. AlignedArray: function(e) {
    5511. 

  5511. var t = this.GetBrackets("\\begin{" + e.name + "}");
    5512. 

  5512. return this.setArrayAlign(this.Array.apply(this, arguments), t);
    5513. 

  5513. },
    5514. 

  5514. setArrayAlign: function(e, t) {
    5515. 

  5515. return t = this.trimSpaces(t || ""), t === "t" ? e.arraydef.align = "baseline 1" : t === "b" ? e.arraydef.align = "baseline -1" : t === "c" ? e.arraydef.align = "center" : t && (e.arraydef.align = t), e;
    5516. 

  5516. },
    5517. 

  5517. convertDelimiter: function(e) {
    5518. 

  5518. return e && (e = u.delimiter[e]), e == null ? null : (e instanceof Array && (e = e[0]), e.length === 4 && (e = String.fromCharCode(parseInt(e, 16))), e);
    5519. 

  5519. },
    5520. 

  5520. trimSpaces: function(e) {
    5521. 

  5521. return typeof e != "string" ? e : e.replace(/^\s+|\s+$/g, "");
    5522. 

  5522. },
    5523. 

  5523. nextIsSpace: function() {
    5524. 

  5524. return this.string.charAt(this.i).match(/[ \n\r\t]/);
    5525. 

  5525. },
    5526. 

  5526. GetNext: function() {
    5527. 

  5527. while (this.nextIsSpace()) this.i++;
    5528. 

  5528. return this.string.charAt(this.i);
    5529. 

  5529. },
    5530. 

  5530. GetCS: function() {
    5531. 

  5531. var e = this.string.slice(this.i).match(/^([a-z]+|.) ?/i);
    5532. 

  5532. return e ? (this.i += e[1].length, e[1]) : (this.i++, " ");
    5533. 

  5533. },
    5534. 

  5534. GetArgument: function(t, n) {
    5535. 

  5535. switch (this.GetNext()) {
    5536. 

  5536. case "":
    5537. 

  5537. return n || e.Error("Missing argument for " + t), null;
    5538. 

  5538. case "}":
    5539. 

  5539. return n || e.Error("Extra close brace or missing open brace"), null;
    5540. 

  5540. case "\\":
    5541. 

  5541. return this.i++, "\\" + this.GetCS();
    5542. 

  5542. case "{":
    5543. 

  5543. var r = ++this.i, i = 1;
    5544. 

  5544. while (this.i < this.string.length) switch (this.string.charAt(this.i++)) {
    5545. 

  5545. case "\\":
    5546. 

  5546. this.i++;
    5547. 

  5547. break;
    5548. 

  5548. case "{":
    5549. 

  5549. i++;
    5550. 

  5550. break;
    5551. 

  5551. case "}":
    5552. 

  5552. i == 0 && e.Error("Extra close brace");
    5553. 

  5553. if (--i == 0) return this.string.slice(r, this.i - 1);
    5554. 

  5554. }
    5555. 

  5555. e.Error("Missing close brace");
    5556. 

  5556. }
    5557. 

  5557. return this.string.charAt(this.i++);
    5558. 

  5558. },
    5559. 

  5559. GetBrackets: function(t, n) {
    5560. 

  5560. if (this.GetNext() != "[") return n;
    5561. 

  5561. var r = ++this.i, i = 0;
    5562. 

  5562. while (this.i < this.string.length) switch (this.string.charAt(this.i++)) {
    5563. 

  5563. case "{":
    5564. 

  5564. i++;
    5565. 

  5565. break;
    5566. 

  5566. case "\\":
    5567. 

  5567. this.i++;
    5568. 

  5568. break;
    5569. 

  5569. case "}":
    5570. 

  5570. i-- <= 0 && e.Error("Extra close brace while looking for ']'");
    5571. 

  5571. break;
    5572. 

  5572. case "]":
    5573. 

  5573. if (i == 0) return this.string.slice(r, this.i - 1);
    5574. 

  5574. }
    5575. 

  5575. e.Error("Couldn't find closing ']' for argument to " + t);
    5576. 

  5576. },
    5577. 

  5577. GetDelimiter: function(t) {
    5578. 

  5578. while (this.nextIsSpace()) this.i++;
    5579. 

  5579. var n = this.string.charAt(this.i);
    5580. 

  5580. if (this.i < this.string.length) {
    5581. 

  5581. this.i++, n == "\\" && (n += this.GetCS(t));
    5582. 

  5582. if (u.delimiter[n] != null) return this.convertDelimiter(n);
    5583. 

  5583. }
    5584. 

  5584. e.Error("Missing or unrecognized delimiter for " + t);
    5585. 

  5585. },
    5586. 

  5586. GetDimen: function(t) {
    5587. 

  5587. var n;
    5588. 

  5588. this.nextIsSpace() && this.i++;
    5589. 

  5589. if (this.string.charAt(this.i) == "{") {
    5590. 

  5590. n = this.GetArgument(t);
    5591. 

  5591. if (n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)) return n.replace(/ /g, "");
    5592. 

  5592. } else {
    5593. 

  5593. n = this.string.slice(this.i);
    5594. 

  5594. var r = n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);
    5595. 

  5595. if (r) return this.i += r[0].length, r[1].replace(/ /g, "");
    5596. 

  5596. }
    5597. 

  5597. e.Error("Missing dimension or its units for " + t);
    5598. 

  5598. },
    5599. 

  5599. GetUpTo: function(t, n) {
    5600. 

  5600. while (this.nextIsSpace()) this.i++;
    5601. 

  5601. var r = this.i, i, s, o = 0;
    5602. 

  5602. while (this.i < this.string.length) {
    5603. 

  5603. i = this.i, s = this.string.charAt(this.i++);
    5604. 

  5604. switch (s) {
    5605. 

  5605. case "\\":
    5606. 

  5606. s += this.GetCS();
    5607. 

  5607. break;
    5608. 

  5608. case "{":
    5609. 

  5609. o++;
    5610. 

  5610. break;
    5611. 

  5611. case "}":
    5612. 

  5612. o == 0 && e.Error("Extra close brace while looking for " + n), o--;
    5613. 

  5613. }
    5614. 

  5614. if (o == 0 && s == n) return this.string.slice(r, i);
    5615. 

  5615. }
    5616. 

  5616. e.Error("Couldn't find " + n + " for " + t);
    5617. 

  5617. },
    5618. 

  5618. ParseArg: function(t) {
    5619. 

  5619. return e.Parse(this.GetArgument(t), this.stack.env).mml();
    5620. 

  5620. },
    5621. 

  5621. ParseUpTo: function(t, n) {
    5622. 

  5622. return e.Parse(this.GetUpTo(t, n), this.stack.env).mml();
    5623. 

  5623. },
    5624. 

  5624. InternalMath: function(t, n) {
    5625. 

  5625. var i = {
    5626. 

  5626. displaystyle: !1
    5627. 

  5627. };
    5628. 

  5628. n != null && (i.scriptlevel = n), this.stack.env.font && (i.mathvariant = this.stack.env.font);
    5629. 

  5629. if (!t.match(/\$|\\\(|\\(eq)?ref\s*\{/)) return [ this.InternalText(t, i) ];
    5630. 

  5630. var s = 0, o = 0, u, a = "", f = [];
    5631. 

  5631. while (s < t.length) u = t.charAt(s++), u === "$" ? a === "$" ? (f.push(r.TeXAtom(e.Parse(t.slice(o, s - 1), {}).mml().With(i))), a = "", o = s) : a === "" && (o < s - 1 && f.push(this.InternalText(t.slice(o, s - 1), i)), a = "$", o = s) : u === "}" && a === "}" ? (f.push(r.TeXAtom(e.Parse(t.slice(o, s), {}).mml().With(i))), a = "", o = s) : u === "\\" && (a === "" && t.substr(s).match(/^(eq)?ref\s*\{/) ? (o < s - 1 && f.push(this.InternalText(t.slice(o, s - 1), i)), a = "}", o = s - 1) : (u = t.charAt(s++), u === "(" && a === "" ? (o < s - 2 && f.push(this.InternalText(t.slice(o, s - 2), i)), a = ")", o = s) : u === ")" && a === ")" && (f.push(r.TeXAtom(e.Parse(t.slice(o, s - 2), {}).mml().With(i))), a = "", o = s)));
    5632. 

  5632. return a !== "" && e.Error("Math not terminated in text box"), o < t.length && f.push(this.InternalText(t.slice(o), i)), f;
    5633. 

  5633. },
    5634. 

  5634. InternalText: function(e, t) {
    5635. 

  5635. return e = e.replace(/^\s+/, i).replace(/\s+$/, i), r.mtext(r.chars(e)).With(t);
    5636. 

  5636. },
    5637. 

  5637. SubstituteArgs: function(t, n) {
    5638. 

  5638. var r = "", i = "", s, o = 0;
    5639. 

  5639. while (o < n.length) s = n.charAt(o++), s === "\\" ? r += s + n.charAt(o++) : s === "#" ? (s = n.charAt(o++), s === "#" ? r += s : ((!s.match(/[1-9]/) || s > t.length) && e.Error("Illegal macro parameter reference"), i = this.AddArgs(this.AddArgs(i, r), t[s - 1]), r = "")) : r += s;
    5640. 

  5640. return this.AddArgs(i, r);
    5641. 

  5641. },
    5642. 

  5642. AddArgs: function(t, n) {
    5643. 

  5643. return n.match(/^[a-z]/i) && t.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i) && (t += " "), t.length + n.length > e.config.MAXBUFFER && e.Error("MathJax internal buffer size exceeded; is there a recursive macro call?"), t + n;
    5644. 

  5644. }
    5645. 

  5645. });
    5646. 

  5646. e.Augment({
    5647. 

  5647. Stack: s,
    5648. 

  5648. Parse: f,
    5649. 

  5649. Definitions: u,
    5650. 

  5650. Startup: a,
    5651. 

  5651. config: {
    5652. 

  5652. MAXMACROS: 1e4,
    5653. 

  5653. MAXBUFFER: 5120
    5654. 

  5654. },
    5655. 

  5655. sourceMenuTitle: "TeX Commands",
    5656. 

  5656. prefilterHooks: MathJax.Callback.Hooks(!0),
    5657. 

  5657. postfilterHooks: MathJax.Callback.Hooks(!0),
    5658. 

  5658. Config: function() {
    5659. 

  5659. this.SUPER(arguments).Config.apply(this, arguments), this.config.equationNumbers.autoNumber !== "none" && (this.config.extensions || (this.config.extensions = []), this.config.extensions.push("AMSmath.js"));
    5660. 

  5660. },
    5661. 

  5661. Translate: function(t) {
    5662. 

  5662. var n, i = !1, s = MathJax.HTML.getScript(t), o = t.type.replace(/\n/g, " ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/) != null, u = {
    5663. 

  5663. math: s,
    5664. 

  5664. display: o,
    5665. 

  5665. script: t
    5666. 

  5666. };
    5667. 

  5667. this.prefilterHooks.Execute(u), s = u.math;
    5668. 

  5668. try {
    5669. 

  5669. n = e.Parse(s).mml();
    5670. 

  5670. } catch (a) {
    5671. 

  5671. if (!a.texError) throw a;
    5672. 

  5672. n = this.formatError(a, s, o, t), i = !0;
    5673. 

  5673. }
    5674. 

  5674. return n.inferred ? n = r.apply(MathJax.ElementJax, n.data) : n = r(n), o && (n.root.display = "block"), i && (n.texError = !0), u.math = n, this.postfilterHooks.Execute(u), u.math;
    5675. 

  5675. },
    5676. 

  5676. prefilterMath: function(e, t, n) {
    5677. 

  5677. return e;
    5678. 

  5678. },
    5679. 

  5679. postfilterMath: function(e, t, n) {
    5680. 

  5680. return this.combineRelations(e.root), e;
    5681. 

  5681. },
    5682. 

  5682. formatError: function(e, n, i, s) {
    5683. 

  5683. var o = e.message.replace(/\n.*/, "");
    5684. 

  5684. return t.signal.Post([ "TeX Jax - parse error", o, n, i, s ]), r.merror(o);
    5685. 

  5685. },
    5686. 

  5686. Error: function(e) {
    5687. 

  5687. throw t.Insert(Error(e), {
    5688. 

  5688. texError: !0
    5689. 

  5689. });
    5690. 

  5690. },
    5691. 

  5691. Macro: function(e, t, n) {
    5692. 

  5692. u.macros[e] = [ "Macro" ].concat([].slice.call(arguments, 1)), u.macros[e].isUser = !0;
    5693. 

  5693. },
    5694. 

  5694. combineRelations: function(e) {
    5695. 

  5695. var t, n, i, s;
    5696. 

  5696. for (t = 0, n = e.data.length; t < n; t++) if (e.data[t]) {
    5697. 

  5697. if (e.isa(r.mrow)) while (t + 1 < n && (i = e.data[t]) && (s = e.data[t + 1]) && i.isa(r.mo) && s.isa(r.mo) && i.Get("texClass") === r.TEXCLASS.REL && s.Get("texClass") === r.TEXCLASS.REL) i.variantForm == s.variantForm && i.Get("mathvariant") == s.Get("mathvariant") && i.style == s.style && i["class"] == s["class"] && !i.id && !s.id ? (i.Append.apply(i, s.data), e.data.splice(t + 1, 1), n--) : (i.rspace = s.lspace = "0pt", t++);
    5698. 

  5698. e.data[t].isToken || this.combineRelations(e.data[t]);
    5699. 

  5699. }
    5700. 

  5700. }
    5701. 

  5701. }), e.prefilterHooks.Add(function(t) {
    5702. 

  5702. t.math = e.prefilterMath(t.math, t.display, t.script);
    5703. 

  5703. }), e.postfilterHooks.Add(function(t) {
    5704. 

  5704. t.math = e.postfilterMath(t.math, t.display, t.script);
    5705. 

  5705. }), e.loadComplete("jax.js");
    5706. 

  5706. }(MathJax.InputJax.TeX, MathJax.Hub, MathJax.Ajax), MathJax.OutputJax["HTML-CSS"] = MathJax.OutputJax({
    5707. 

  5707. id: "HTML-CSS",
    5708. 

  5708. version: "2.1",
    5709. 

  5709. directory: MathJax.OutputJax.directory + "/HTML-CSS",
    5710. 

  5710. extensionDir: MathJax.OutputJax.extensionDir + "/HTML-CSS",
    5711. 

  5711. autoloadDir: MathJax.OutputJax.directory + "/HTML-CSS/autoload",
    5712. 

  5712. fontDir: MathJax.OutputJax.directory + "/HTML-CSS/fonts",
    5713. 

  5713. webfontDir: MathJax.OutputJax.fontDir + "/HTML-CSS",
    5714. 

  5714. config: {
    5715. 

  5715. scale: 100,
    5716. 

  5716. minScaleAdjust: 50,
    5717. 

  5717. availableFonts: [ "STIX", "TeX" ],
    5718. 

  5718. preferredFont: "TeX",
    5719. 

  5719. webFont: "TeX",
    5720. 

  5720. imageFont: "TeX",
    5721. 

  5721. undefinedFamily: "STIXGeneral,'Arial Unicode MS',serif",
    5722. 

  5722. mtextFontInherit: !1,
    5723. 

  5723. EqnChunk: MathJax.Hub.Browser.isMobile ? 10 : 50,
    5724. 

  5724. EqnChunkFactor: 1.5,
    5725. 

  5725. EqnChunkDelay: 100,
    5726. 

  5726. linebreaks: {
    5727. 

  5727. automatic: !1,
    5728. 

  5728. width: "container"
    5729. 

  5729. },
    5730. 

  5730. styles: {
    5731. 

  5731. ".MathJax_Display": {
    5732. 

  5732. "text-align": "center",
    5733. 

  5733. margin: "1em 0em"
    5734. 

  5734. },
    5735. 

  5735. ".MathJax .merror": {
    5736. 

  5736. "background-color": "#FFFF88",
    5737. 

  5737. color: "#CC0000",
    5738. 

  5738. border: "1px solid #CC0000",
    5739. 

  5739. padding: "1px 3px",
    5740. 

  5740. "font-style": "normal",
    5741. 

  5741. "font-size": "90%"
    5742. 

  5742. },
    5743. 

  5743. "#MathJax_Tooltip": {
    5744. 

  5744. "background-color": "InfoBackground",
    5745. 

  5745. color: "InfoText",
    5746. 

  5746. border: "1px solid black",
    5747. 

  5747. "box-shadow": "2px 2px 5px #AAAAAA",
    5748. 

  5748. "-webkit-box-shadow": "2px 2px 5px #AAAAAA",
    5749. 

  5749. "-moz-box-shadow": "2px 2px 5px #AAAAAA",
    5750. 

  5750. "-khtml-box-shadow": "2px 2px 5px #AAAAAA",
    5751. 

  5751. filter: "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",
    5752. 

  5752. padding: "3px 4px"
    5753. 

  5753. }
    5754. 

  5754. }
    5755. 

  5755. }
    5756. 

  5756. }), MathJax.Hub.Browser.isMSIE && document.documentMode >= 9 && delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter, MathJax.Hub.config.delayJaxRegistration || MathJax.OutputJax["HTML-CSS"].Register("jax/mml"), MathJax.Hub.Register.StartupHook("End Config", [ function(e, t) {
    5757. 

  5757. var n = e.Insert({
    5758. 

  5758. minBrowserVersion: {
    5759. 

  5759. Firefox: 3,
    5760. 

  5760. Opera: 9.52,
    5761. 

  5761. MSIE: 6,
    5762. 

  5762. Chrome: .3,
    5763. 

  5763. Safari: 2,
    5764. 

  5764. Konqueror: 4
    5765. 

  5765. },
    5766. 

  5766. inlineMathDelimiters: [ "$", "$" ],
    5767. 

  5767. displayMathDelimiters: [ "$$", "$$" ],
    5768. 

  5768. multilineDisplay: !0,
    5769. 

  5769. minBrowserTranslate: function(t) {
    5770. 

  5770. var r = e.getJaxFor(t), i = [ "[Math]" ], s, o = document.createElement("span", {
    5771. 

  5771. className: "MathJax_Preview"
    5772. 

  5772. });
    5773. 

  5773. r.inputJax === "TeX" && (r.root.Get("displaystyle") ? (s = n.displayMathDelimiters, i = [ s[0] + r.originalText + s[1] ], n.multilineDisplay && (i = i[0].split(/\n/))) : (s = n.inlineMathDelimiters, i = [ s[0] + r.originalText.replace(/^\s+/, "").replace(/\s+$/, "") + s[1] ]));
    5774. 

  5774. for (var u = 0, f = i.length; u < f; u++) o.appendChild(document.createTextNode(i[u])), u < f - 1 && o.appendChild(document.createElement("br"));
    5775. 

  5775. t.parentNode.insertBefore(o, t);
    5776. 

  5776. }
    5777. 

  5777. }, e.config["HTML-CSS"] || {});
    5778. 

  5778. e.Browser.version !== "0.0" && !e.Browser.versionAtLeast(n.minBrowserVersion[e.Browser] || 0) && (t.Translate = n.minBrowserTranslate, e.Config({
    5779. 

  5779. showProcessingMessages: !1
    5780. 

  5780. }), MathJax.Message.Set("Your browser does not support MathJax", null, 4e3), e.Startup.signal.Post("MathJax not supported"));
    5781. 

  5781. }, MathJax.Hub, MathJax.OutputJax["HTML-CSS"] ]), MathJax.OutputJax["HTML-CSS"].loadComplete("config.js"), function(e, t, n) {
    5782. 

  5782. var r, i = t.Browser.isMobile, s = MathJax.Object.Subclass({
    5783. 

  5783. timeout: (i ? 15 : 8) * 1e3,
    5784. 

  5784. FontInfo: {
    5785. 

  5785. STIX: {
    5786. 

  5786. family: "STIXSizeOneSym",
    5787. 

  5787. testString: "() {} []"
    5788. 

  5788. },
    5789. 

  5789. TeX: {
    5790. 

  5790. family: "MathJax_Size1",
    5791. 

  5791. testString: "() {} []"
    5792. 

  5792. }
    5793. 

  5793. },
    5794. 

  5794. comparisonFont: [ "sans-serif", "monospace", "script", "Times", "Courier", "Arial", "Helvetica" ],
    5795. 

  5795. testSize: [ "40px", "50px", "60px", "30px", "20px" ],
    5796. 

  5796. Init: function() {
    5797. 

  5797. this.div = MathJax.HTML.addElement(document.body, "div", {
    5798. 

  5798. id: "MathJax_Font_Test",
    5799. 

  5799. style: {
    5800. 

  5800. position: "absolute",
    5801. 

  5801. visibility: "hidden",
    5802. 

  5802. top: 0,
    5803. 

  5803. left: 0,
    5804. 

  5804. width: "auto",
    5805. 

  5805. padding: 0,
    5806. 

  5806. border: 0,
    5807. 

  5807. margin: 0,
    5808. 

  5808. whiteSpace: "nowrap",
    5809. 

  5809. textAlign: "left",
    5810. 

  5810. textIndent: 0,
    5811. 

  5811. textTransform: "none",
    5812. 

  5812. lineHeight: "normal",
    5813. 

  5813. letterSpacing: "normal",
    5814. 

  5814. wordSpacing: "normal",
    5815. 

  5815. fontSize: this.testSize[0],
    5816. 

  5816. fontWeight: "normal",
    5817. 

  5817. fontStyle: "normal",
    5818. 

  5818. fontSizeAdjust: "none"
    5819. 

  5819. }
    5820. 

  5820. }, [ "" ]), this.text = this.div.firstChild;
    5821. 

  5821. },
    5822. 

  5822. findFont: function(e, t) {
    5823. 

  5823. if (t && this.testCollection(t)) return t;
    5824. 

  5824. for (var n = 0, r = e.length; n < r; n++) {
    5825. 

  5825. if (e[n] === t) continue;
    5826. 

  5826. if (this.testCollection(e[n])) return e[n];
    5827. 

  5827. }
    5828. 

  5828. return null;
    5829. 

  5829. },
    5830. 

  5830. testCollection: function(e) {
    5831. 

  5831. return this.testFont(this.FontInfo[e]);
    5832. 

  5832. },
    5833. 

  5833. testFont: function(e) {
    5834. 

  5834. e.isWebFont && n.FontFaceBug ? this.div.style.fontWeight = this.div.style.fontStyle = "normal" : (this.div.style.fontWeight = e.weight || "normal", this.div.style.fontStyle = e.style || "normal");
    5835. 

  5835. var t = this.getComparisonWidths(e.testString, e.noStyleChar);
    5836. 

  5836. if (t) {
    5837. 

  5837. this.div.style.fontFamily = "'" + e.family + "'," + this.comparisonFont[0];
    5838. 

  5838. if (this.div.offsetWidth == t[0]) {
    5839. 

  5839. this.div.style.fontFamily = "'" + e.family + "'," + this.comparisonFont[t[2]];
    5840. 

  5840. if (this.div.offsetWidth == t[1]) return !1;
    5841. 

  5841. }
    5842. 

  5842. if (this.div.offsetWidth != t[3] || this.div.offsetHeight != t[4]) {
    5843. 

  5843. if (e.noStyleChar || !n.FONTDATA || !n.FONTDATA.hasStyleChar) return !0;
    5844. 

  5844. for (var r = 0, i = this.testSize.length; r < i; r++) if (this.testStyleChar(e, this.testSize[r])) return !0;
    5845. 

  5845. }
    5846. 

  5846. }
    5847. 

  5847. return !1;
    5848. 

  5848. },
    5849. 

  5849. styleChar: "\ueffd",
    5850. 

  5850. versionChar: "\ueffe",
    5851. 

  5851. compChar: "\uefff",
    5852. 

  5852. testStyleChar: function(e, t) {
    5853. 

  5853. var r = 3 + (e.weight ? 2 : 0) + (e.style ? 4 : 0), i = "", s = 0, o = this.div.style.fontSize;
    5854. 

  5854. this.div.style.fontSize = t, n.msieItalicWidthBug && e.style === "italic" && (this.text.nodeValue = i = this.compChar, s = this.div.offsetWidth), n.safariTextNodeBug ? this.div.innerHTML = this.compChar + i : this.text.nodeValue = this.compChar + i;
    5855. 

  5855. var u = this.div.offsetWidth - s;
    5856. 

  5856. n.safariTextNodeBug ? this.div.innerHTML = this.styleChar + i : this.text.nodeValue = this.styleChar + i;
    5857. 

  5857. var a = Math.floor((this.div.offsetWidth - s) / u + .5);
    5858. 

  5858. return a === r && (n.safariTextNodeBug ? this.div.innerHTML = this.versionChar + i : this.text.nodeValue = this.versionChar + i, e.version = Math.floor((this.div.offsetWidth - s) / u + 1.5) / 2), this.div.style.fontSize = o, a === r;
    5859. 

  5859. },
    5860. 

  5860. getComparisonWidths: function(e, t) {
    5861. 

  5861. n.FONTDATA && n.FONTDATA.hasStyleChar && !t && (e += this.styleChar + " " + this.compChar), n.safariTextNodeBug ? this.div.innerHTML = e : this.text.nodeValue = e, this.div.style.fontFamily = this.comparisonFont[0];
    5862. 

  5862. var r = this.div.offsetWidth;
    5863. 

  5863. this.div.style.fontFamily = n.webFontDefault;
    5864. 

  5864. var i = this.div.offsetWidth, s = this.div.offsetHeight;
    5865. 

  5865. for (var o = 1, u = this.comparisonFont.length; o < u; o++) {
    5866. 

  5866. this.div.style.fontFamily = this.comparisonFont[o];
    5867. 

  5867. if (this.div.offsetWidth != r) return [ r, this.div.offsetWidth, o, i, s ];
    5868. 

  5868. }
    5869. 

  5869. return null;
    5870. 

  5870. },
    5871. 

  5871. loadWebFont: function(r) {
    5872. 

  5872. t.Startup.signal.Post("HTML-CSS Jax - Web-Font " + n.fontInUse + "/" + r.directory);
    5873. 

  5873. var i = MathJax.Message.File("Web-Font " + n.fontInUse + "/" + r.directory), s = MathJax.Callback({}), o = MathJax.Callback([ "loadComplete", this, r, i, s ]);
    5874. 

  5874. return e.timer.start(e, [ this.checkWebFont, r, o ], 0, this.timeout), s;
    5875. 

  5875. },
    5876. 

  5876. loadComplete: function(r, i, s, o) {
    5877. 

  5877. MathJax.Message.Clear(i);
    5878. 

  5878. if (o === e.STATUS.OK) {
    5879. 

  5879. this.webFontLoaded = !0, s();
    5880. 

  5880. return;
    5881. 

  5881. }
    5882. 

  5882. this.loadError(r);
    5883. 

  5883. if (t.Browser.isFirefox && n.allowWebFonts) {
    5884. 

  5884. var u = document.location.protocol + "//" + document.location.hostname;
    5885. 

  5885. document.location.port != "" && (u += ":" + document.location.port), u += "/", e.fileURL(n.webfontDir).substr(0, u.length) !== u && this.firefoxFontError(r);
    5886. 

  5886. }
    5887. 

  5887. this.webFontLoaded ? s() : n.loadWebFontError(r, s);
    5888. 

  5888. },
    5889. 

  5889. loadError: function(e) {
    5890. 

  5890. MathJax.Message.Set("Can't load web font " + n.fontInUse + "/" + e.directory, null, 2e3), t.Startup.signal.Post([ "HTML-CSS Jax - web font error", n.fontInUse + "/" + e.directory, e ]);
    5891. 

  5891. },
    5892. 

  5892. firefoxFontError: function(e) {
    5893. 

  5893. MathJax.Message.Set("Firefox can't load web fonts from a remote host", null, 3e3), t.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error");
    5894. 

  5894. },
    5895. 

  5895. checkWebFont: function(e, t, r) {
    5896. 

  5896. if (e.time(r)) return;
    5897. 

  5897. n.Font.testFont(t) ? r(e.STATUS.OK) : setTimeout(e, e.delay);
    5898. 

  5898. },
    5899. 

  5899. fontFace: function(t) {
    5900. 

  5900. var r = n.allowWebFonts, i = n.FONTDATA.FONTS[t];
    5901. 

  5901. n.msieFontCSSBug && !i.family.match(/-Web$/) && (i.family += "-Web");
    5902. 

  5902. var s = e.fileURL(n.webfontDir + "/" + r), o = t.replace(/-b/, "-B").replace(/-i/, "-I").replace(/-Bold-/, "-Bold");
    5903. 

  5903. o.match(/-/) || (o += "-Regular"), r === "svg" ? o += ".svg#" + o : o += "." + r;
    5904. 

  5904. var u = {
    5905. 

  5905. "font-family": i.family,
    5906. 

  5906. src: "url('" + s + "/" + o + "')"
    5907. 

  5907. };
    5908. 

  5908. r === "otf" ? (u.src += " format('opentype')", s = e.fileURL(n.webfontDir + "/woff"), u.src = "url('" + s + "/" + o.replace(/otf$/, "woff") + "') format('woff'), " + u.src) : r !== "eot" && (u.src += " format('" + r + "')");
    5909. 

  5909. if (!n.FontFaceBug || !i.isWebFont) t.match(/-bold/) && (u["font-weight"] = "bold"), t.match(/-italic/) && (u["font-style"] = "italic");
    5910. 

  5910. return u;
    5911. 

  5911. }
    5912. 

  5912. }), o, u, a;
    5913. 

  5913. n.Augment({
    5914. 

  5914. config: {
    5915. 

  5915. styles: {
    5916. 

  5916. ".MathJax": {
    5917. 

  5917. display: "inline",
    5918. 

  5918. "font-style": "normal",
    5919. 

  5919. "font-weight": "normal",
    5920. 

  5920. "line-height": "normal",
    5921. 

  5921. "font-size": "100%",
    5922. 

  5922. "font-size-adjust": "none",
    5923. 

  5923. "text-indent": 0,
    5924. 

  5924. "text-align": "left",
    5925. 

  5925. "text-transform": "none",
    5926. 

  5926. "letter-spacing": "normal",
    5927. 

  5927. "word-spacing": "normal",
    5928. 

  5928. "word-wrap": "normal",
    5929. 

  5929. "white-space": "nowrap",
    5930. 

  5930. "float": "none",
    5931. 

  5931. direction: "ltr",
    5932. 

  5932. border: 0,
    5933. 

  5933. padding: 0,
    5934. 

  5934. margin: 0
    5935. 

  5935. },
    5936. 

  5936. ".MathJax_Display": {
    5937. 

  5937. position: "relative",
    5938. 

  5938. display: "block",
    5939. 

  5939. width: "100%"
    5940. 

  5940. },
    5941. 

  5941. ".MathJax img, .MathJax nobr, .MathJax a": {
    5942. 

  5942. border: 0,
    5943. 

  5943. padding: 0,
    5944. 

  5944. margin: 0,
    5945. 

  5945. "max-width": "none",
    5946. 

  5946. "max-height": "none",
    5947. 

  5947. "vertical-align": 0,
    5948. 

  5948. "line-height": "normal",
    5949. 

  5949. "text-decoration": "none"
    5950. 

  5950. },
    5951. 

  5951. "img.MathJax_strut": {
    5952. 

  5952. border: "0 !important",
    5953. 

  5953. padding: "0 !important",
    5954. 

  5954. margin: "0 !important",
    5955. 

  5955. "vertical-align": "0 !important"
    5956. 

  5956. },
    5957. 

  5957. ".MathJax span": {
    5958. 

  5958. display: "inline",
    5959. 

  5959. position: "static",
    5960. 

  5960. border: 0,
    5961. 

  5961. padding: 0,
    5962. 

  5962. margin: 0,
    5963. 

  5963. "vertical-align": 0,
    5964. 

  5964. "line-height": "normal",
    5965. 

  5965. "text-decoration": "none"
    5966. 

  5966. },
    5967. 

  5967. ".MathJax nobr": {
    5968. 

  5968. "white-space": "nowrap ! important"
    5969. 

  5969. },
    5970. 

  5970. ".MathJax img": {
    5971. 

  5971. display: "inline ! important",
    5972. 

  5972. "float": "none ! important"
    5973. 

  5973. },
    5974. 

  5974. ".MathJax_Processing": {
    5975. 

  5975. visibility: "hidden",
    5976. 

  5976. position: "fixed",
    5977. 

  5977. width: 0,
    5978. 

  5978. height: 0,
    5979. 

  5979. overflow: "hidden"
    5980. 

  5980. },
    5981. 

  5981. ".MathJax_Processed": {
    5982. 

  5982. display: "none!important"
    5983. 

  5983. },
    5984. 

  5984. ".MathJax_ExBox": {
    5985. 

  5985. display: "block",
    5986. 

  5986. overflow: "hidden",
    5987. 

  5987. width: "1px",
    5988. 

  5988. height: "60ex"
    5989. 

  5989. },
    5990. 

  5990. ".MathJax .MathJax_EmBox": {
    5991. 

  5991. display: "block",
    5992. 

  5992. overflow: "hidden",
    5993. 

  5993. width: "1px",
    5994. 

  5994. height: "60em"
    5995. 

  5995. },
    5996. 

  5996. ".MathJax .MathJax_HitBox": {
    5997. 

  5997. cursor: "text",
    5998. 

  5998. background: "white",
    5999. 

  5999. opacity: 0,
    6000. 

  6000. filter: "alpha(opacity=0)"
    6001. 

  6001. },
    6002. 

  6002. ".MathJax .MathJax_HitBox *": {
    6003. 

  6003. filter: "none",
    6004. 

  6004. opacity: 1,
    6005. 

  6005. background: "transparent"
    6006. 

  6006. },
    6007. 

  6007. "#MathJax_Tooltip": {
    6008. 

  6008. position: "absolute",
    6009. 

  6009. left: 0,
    6010. 

  6010. top: 0,
    6011. 

  6011. width: "auto",
    6012. 

  6012. height: "auto",
    6013. 

  6013. display: "none"
    6014. 

  6014. },
    6015. 

  6015. "#MathJax_Tooltip *": {
    6016. 

  6016. filter: "none",
    6017. 

  6017. opacity: 1,
    6018. 

  6018. background: "transparent"
    6019. 

  6019. },
    6020. 

  6020. "@font-face": {
    6021. 

  6021. "font-family": "MathJax_Blank",
    6022. 

  6022. src: "url('about:blank')"
    6023. 

  6023. }
    6024. 

  6024. }
    6025. 

  6025. },
    6026. 

  6026. settings: t.config.menuSettings,
    6027. 

  6027. hideProcessedMath: !0,
    6028. 

  6028. Font: null,
    6029. 

  6029. webFontDefault: "MathJax_Blank",
    6030. 

  6030. allowWebFonts: "otf",
    6031. 

  6031. Config: function() {
    6032. 

  6032. this.require || (this.require = []), this.Font = s(), this.SUPER(arguments).Config.call(this);
    6033. 

  6033. var e = this.settings;
    6034. 

  6034. this.adjustAvailableFonts && this.adjustAvailableFonts(this.config.availableFonts), e.scale && (this.config.scale = e.scale), e.font && e.font !== "Auto" && (e.font === "TeX (local)" ? (this.config.availableFonts = [ "TeX" ], this.config.preferredFont = "TeX", this.config.webFont = "TeX") : e.font === "STIX (local)" ? (this.config.availableFonts = [ "STIX" ], this.config.preferredFont = "STIX", this.config.webFont = "TeX") : e.font === "TeX (web)" ? (this.config.availableFonts = [], this.config.preferredFont = "", this.config.webFont = "TeX") : e.font === "TeX (image)" && (this.config.availableFonts = [], this.config.preferredFont = "", this.config.webFont = ""));
    6035. 

  6035. var n = this.Font.findFont(this.config.availableFonts, this.config.preferredFont);
    6036. 

  6036. !n && this.allowWebFonts && (n = this.config.webFont, n && (this.webFonts = !0)), !n && this.config.imageFont && (n = this.config.imageFont, this.imgFonts = !0), n ? (this.fontInUse = n, this.fontDir += "/" + n, this.webfontDir += "/" + n, this.require.push(this.fontDir + "/fontdata.js"), this.imgFonts && (this.require.push(this.directory + "/imageFonts.js"), t.Startup.signal.Post("HTML-CSS Jax - using image fonts"))) : (MathJax.Message.Set("Can't find a valid font using [" + this.config.availableFonts.join(", ") + "]", null, 3e3), this.FONTDATA = {
    6037. 

  6037. TeX_factor: 1,
    6038. 

  6038. baselineskip: 1.2,
    6039. 

  6039. lineH: .8,
    6040. 

  6040. lineD: .2,
    6041. 

  6041. ffLineH: .8,
    6042. 

  6042. FONTS: {},
    6043. 

  6043. VARIANT: {
    6044. 

  6044. normal: {
    6045. 

  6045. fonts: []
    6046. 

  6046. }
    6047. 

  6047. },
    6048. 

  6048. RANGES: [],
    6049. 

  6049. DELIMITERS: {},
    6050. 

  6050. RULECHAR: 45,
    6051. 

  6051. REMAP: {}
    6052. 

  6052. }, MathJax.InputJax.TeX && MathJax.InputJax.TeX.Definitions && (MathJax.InputJax.TeX.Definitions.macros.overline[1] = "002D", MathJax.InputJax.TeX.Definitions.macros.underline[1] = "002D"), t.Startup.signal.Post("HTML-CSS Jax - no valid font")), this.require.push(MathJax.OutputJax.extensionDir + "/MathEvents.js");
    6053. 

  6053. },
    6054. 

  6054. Startup: function() {
    6055. 

  6055. o = MathJax.Extension.MathEvents.Event, u = MathJax.Extension.MathEvents.Touch, a = MathJax.Extension.MathEvents.Hover, this.ContextMenu = o.ContextMenu, this.Mousedown = o.AltContextMenu, this.Mouseover = a.Mouseover, this.Mouseout = a.Mouseout, this.Mousemove = a.Mousemove, this.hiddenDiv = this.Element("div", {
    6056. 

  6056. style: {
    6057. 

  6057. visibility: "hidden",
    6058. 

  6058. overflow: "hidden",
    6059. 

  6059. position: "absolute",
    6060. 

  6060. top: 0,
    6061. 

  6061. height: "1px",
    6062. 

  6062. width: "auto",
    6063. 

  6063. padding: 0,
    6064. 

  6064. border: 0,
    6065. 

  6065. margin: 0,
    6066. 

  6066. textAlign: "left",
    6067. 

  6067. textIndent: 0,
    6068. 

  6068. textTransform: "none",
    6069. 

  6069. lineHeight: "normal",
    6070. 

  6070. letterSpacing: "normal",
    6071. 

  6071. wordSpacing: "normal"
    6072. 

  6072. }
    6073. 

  6073. }), document.body.firstChild ? document.body.insertBefore(this.hiddenDiv, document.body.firstChild) : document.body.appendChild(this.hiddenDiv), this.hiddenDiv = this.addElement(this.hiddenDiv, "div", {
    6074. 

  6074. id: "MathJax_Hidden"
    6075. 

  6075. });
    6076. 

  6076. var t = this.addElement(this.hiddenDiv, "div", {
    6077. 

  6077. style: {
    6078. 

  6078. width: "5in"
    6079. 

  6079. }
    6080. 

  6080. });
    6081. 

  6081. this.pxPerInch = t.offsetWidth / 5, this.hiddenDiv.removeChild(t), this.startMarker = this.createStrut(this.Element("span"), 10, !0), this.endMarker = this.addText(this.Element("span"), "x").parentNode, this.HDspan = this.Element("span"), this.operaHeightBug && this.createStrut(this.HDspan, 0);
    6082. 

  6082. if (this.msieInlineBlockAlignBug) {
    6083. 

  6083. this.HDimg = this.addElement(this.HDspan, "img", {
    6084. 

  6084. style: {
    6085. 

  6085. height: "0px",
    6086. 

  6086. width: "1px"
    6087. 

  6087. }
    6088. 

  6088. });
    6089. 

  6089. try {
    6090. 

  6090. this.HDimg.src = "about:blank";
    6091. 

  6091. } catch (n) {}
    6092. 

  6092. } else this.HDimg = this.createStrut(this.HDspan, 0);
    6093. 

  6093. return this.EmExSpan = this.Element("span", {
    6094. 

  6094. style: {
    6095. 

  6095. position: "absolute",
    6096. 

  6096. "font-size-adjust": "none"
    6097. 

  6097. }
    6098. 

  6098. }, [ [ "span", {
    6099. 

  6099. className: "MathJax_ExBox"
    6100. 

  6100. } ], [ "span", {
    6101. 

  6101. className: "MathJax"
    6102. 

  6102. }, [ [ "span", {
    6103. 

  6103. className: "MathJax_EmBox"
    6104. 

  6104. } ] ] ] ]), this.linebreakSpan = this.Element("span", null, [ [ "hr", {
    6105. 

  6105. style: {
    6106. 

  6106. width: "100%",
    6107. 

  6107. size: 1,
    6108. 

  6108. padding: 0,
    6109. 

  6109. border: 0,
    6110. 

  6110. margin: 0
    6111. 

  6111. }
    6112. 

  6112. } ] ]), e.Styles(this.config.styles, [ "InitializeHTML", this ]);
    6113. 

  6113. },
    6114. 

  6114. removeSTIXfonts: function(e) {
    6115. 

  6115. for (var t = 0, n = e.length; t < n; t++) e[t] === "STIX" && (e.splice(t, 1), n--, t--);
    6116. 

  6116. this.config.preferredFont === "STIX" && (this.config.preferredFont = e[0]);
    6117. 

  6117. },
    6118. 

  6118. PreloadWebFonts: function() {
    6119. 

  6119. if (!n.allowWebFonts || !n.config.preloadWebFonts) return;
    6120. 

  6120. for (var e = 0, t = n.config.preloadWebFonts.length; e < t; e++) {
    6121. 

  6121. var r = n.FONTDATA.FONTS[n.config.preloadWebFonts[e]];
    6122. 

  6122. r.available || n.Font.testFont(r);
    6123. 

  6123. }
    6124. 

  6124. },
    6125. 

  6125. InitializeHTML: function() {
    6126. 

  6126. this.PreloadWebFonts(), document.body.appendChild(this.EmExSpan), document.body.appendChild(this.linebreakSpan), this.defaultEx = this.EmExSpan.firstChild.offsetHeight / 60, this.defaultEm = this.EmExSpan.lastChild.firstChild.offsetHeight / 60, this.defaultWidth = this.linebreakSpan.firstChild.offsetWidth, document.body.removeChild(this.linebreakSpan), document.body.removeChild(this.EmExSpan);
    6127. 

  6127. },
    6128. 

  6128. preTranslate: function(e) {
    6129. 

  6129. var n = e.jax[this.id], r, i = n.length, s, a, f, l, c, h, p, d, v, m, g = !1, y = this.config.linebreaks.automatic, w = this.config.linebreaks.width;
    6130. 

  6130. y ? (g = w.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/) != null, g ? w = w.replace(/\s*container\s*/, "") : m = this.defaultWidth, w === "" && (w = "100%")) : m = 1e5;
    6131. 

  6131. for (r = 0; r < i; r++) {
    6132. 

  6132. s = n[r];
    6133. 

  6133. if (!s.parentNode) continue;
    6134. 

  6134. a = s.previousSibling, a && String(a.className).match(/^MathJax(_Display)?( MathJax_Processing)?$/) && a.parentNode.removeChild(a), h = s.MathJax.elementJax;
    6135. 

  6135. if (!h) continue;
    6136. 

  6136. h.HTMLCSS = {
    6137. 

  6137. display: h.root.Get("display") === "block"
    6138. 

  6138. }, f = l = this.Element("span", {
    6139. 

  6139. className: "MathJax",
    6140. 

  6140. id: h.inputID + "-Frame",
    6141. 

  6141. isMathJax: !0,
    6142. 

  6142. jaxID: this.id,
    6143. 

  6143. oncontextmenu: o.Menu,
    6144. 

  6144. onmousedown: o.Mousedown,
    6145. 

  6145. onmouseover: o.Mouseover,
    6146. 

  6146. onmouseout: o.Mouseout,
    6147. 

  6147. onmousemove: o.Mousemove,
    6148. 

  6148. onclick: o.Click,
    6149. 

  6149. ondblclick: o.DblClick
    6150. 

  6150. }), t.Browser.noContextMenu && (f.ontouchstart = u.start, f.ontouchend = u.end), h.HTMLCSS.display ? (l = this.Element("div", {
    6151. 

  6151. className: "MathJax_Display"
    6152. 

  6152. }), l.appendChild(f)) : this.msieDisappearingBug && (f.style.display = "inline-block"), l.setAttribute("role", "textbox"), l.setAttribute("aria-readonly", "true"), l.className += " MathJax_Processing", s.parentNode.insertBefore(l, s), s.parentNode.insertBefore(this.EmExSpan.cloneNode(!0), s), g && l.parentNode.insertBefore(this.linebreakSpan.cloneNode(!0), l);
    6153. 

  6153. }
    6154. 

  6154. for (r = 0; r < i; r++) {
    6155. 

  6155. s = n[r];
    6156. 

  6156. if (!s.parentNode) continue;
    6157. 

  6157. c = s.previousSibling, l = c.previousSibling, h = s.MathJax.elementJax;
    6158. 

  6158. if (!h) continue;
    6159. 

  6159. p = c.firstChild.offsetHeight / 60, d = c.lastChild.firstChild.offsetHeight / 60, g && (m = l.previousSibling.firstChild.offsetWidth);
    6160. 

  6160. if (p === 0 || p === "NaN") this.hiddenDiv.appendChild(l), h.HTMLCSS.isHidden = !0, p = this.defaultEx, d = this.defaultEm, g && (m = this.defaultWidth);
    6161. 

  6161. v = Math.floor(Math.max(this.config.minScaleAdjust / 100, p / this.TeX.x_height / d) * this.config.scale), h.HTMLCSS.scale = v / 100, h.HTMLCSS.fontSize = v + "%", h.HTMLCSS.em = h.HTMLCSS.outerEm = d, this.em = d * v / 100, h.HTMLCSS.ex = p, h.HTMLCSS.lineWidth = y ? this.length2em(w, 1, m / this.em) : 1e6;
    6162. 

  6162. }
    6163. 

  6163. for (r = 0; r < i; r++) {
    6164. 

  6164. s = n[r];
    6165. 

  6165. if (!s.parentNode) continue;
    6166. 

  6166. c = n[r].previousSibling, h = n[r].MathJax.elementJax;
    6167. 

  6167. if (!h) continue;
    6168. 

  6168. g && (f = c.previousSibling, h.HTMLCSS.isHidden || (f = f.previousSibling), f.parentNode.removeChild(f)), c.parentNode.removeChild(c);
    6169. 

  6169. }
    6170. 

  6170. e.HTMLCSSeqn = e.HTMLCSSlast = 0, e.HTMLCSSi = -1, e.HTMLCSSchunk = this.config.EqnChunk, e.HTMLCSSdelay = !1;
    6171. 

  6171. },
    6172. 

  6172. Translate: function(e, n) {
    6173. 

  6173. if (!e.parentNode) return;
    6174. 

  6174. n.HTMLCSSdelay && (n.HTMLCSSdelay = !1, t.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay)));
    6175. 

  6175. var i = e.MathJax.elementJax, s = i.root, o = document.getElementById(i.inputID + "-Frame"), u = i.HTMLCSS.display ? o.parentNode : o;
    6176. 

  6176. this.em = r.mbase.prototype.em = i.HTMLCSS.em * i.HTMLCSS.scale, this.outerEm = i.HTMLCSS.em, this.scale = i.HTMLCSS.scale, this.linebreakWidth = i.HTMLCSS.lineWidth, o.style.fontSize = i.HTMLCSS.fontSize, this.initImg(o), this.initHTML(s, o), s.setTeXclass();
    6177. 

  6177. try {
    6178. 

  6178. s.toHTML(o, u);
    6179. 

  6179. } catch (a) {
    6180. 

  6180. if (a.restart) while (o.firstChild) o.removeChild(o.firstChild);
    6181. 

  6181. throw a;
    6182. 

  6182. }
    6183. 

  6183. i.HTMLCSS.isHidden && e.parentNode.insertBefore(u, e), u.className = u.className.split(/ /)[0], this.hideProcessedMath && (u.className += " MathJax_Processed", e.MathJax.preview && (i.HTMLCSS.preview = e.MathJax.preview, delete e.MathJax.preview), n.HTMLCSSeqn += n.i - n.HTMLCSSi, n.HTMLCSSi = n.i, n.HTMLCSSeqn >= n.HTMLCSSlast + n.HTMLCSSchunk && (this.postTranslate(n), n.HTMLCSSchunk = Math.floor(n.HTMLCSSchunk * this.config.EqnChunkFactor), n.HTMLCSSdelay = !0));
    6184. 

  6184. },
    6185. 

  6185. postTranslate: function(e) {
    6186. 

  6186. var t = e.jax[this.id];
    6187. 

  6187. if (!this.hideProcessedMath) return;
    6188. 

  6188. for (var n = e.HTMLCSSlast, r = e.HTMLCSSeqn; n < r; n++) {
    6189. 

  6189. var i = t[n];
    6190. 

  6190. if (i && i.MathJax.elementJax) {
    6191. 

  6191. i.previousSibling.className = i.previousSibling.className.split(/ /)[0];
    6192. 

  6192. var s = i.MathJax.elementJax.HTMLCSS;
    6193. 

  6193. s.preview && (s.preview.innerHTML = "", i.MathJax.preview = s.preview, delete s.preview);
    6194. 

  6194. }
    6195. 

  6195. }
    6196. 

  6196. if (this.forceReflow) {
    6197. 

  6197. var o = (document.styleSheets || [])[0] || {};
    6198. 

  6198. o.disabled = !0, o.disabled = !1;
    6199. 

  6199. }
    6200. 

  6200. e.HTMLCSSlast = e.HTMLCSSeqn;
    6201. 

  6201. },
    6202. 

  6202. getJaxFromMath: function(e) {
    6203. 

  6203. e.parentNode.className === "MathJax_Display" && (e = e.parentNode);
    6204. 

  6204. do e = e.nextSibling; while (e && e.nodeName.toLowerCase() !== "script");
    6205. 

  6205. return t.getJaxFor(e);
    6206. 

  6206. },
    6207. 

  6207. getHoverSpan: function(e, t) {
    6208. 

  6208. return e.root.HTMLspanElement();
    6209. 

  6209. },
    6210. 

  6210. getHoverBBox: function(e, t, n) {
    6211. 

  6211. var r = t.bbox, i = e.HTMLCSS.outerEm, s = {
    6212. 

  6212. w: r.w * i,
    6213. 

  6213. h: r.h * i,
    6214. 

  6214. d: r.d * i
    6215. 

  6215. };
    6216. 

  6216. return r.width && (s.width = r.width), s;
    6217. 

  6217. },
    6218. 

  6218. Zoom: function(e, t, i, s, u) {
    6219. 

  6219. t.className = "MathJax", t.style.fontSize = e.HTMLCSS.fontSize;
    6220. 

  6220. var a = t.appendChild(this.EmExSpan.cloneNode(!0)), l = a.lastChild.firstChild.offsetHeight / 60;
    6221. 

  6221. this.em = r.mbase.prototype.em = l, this.outerEm = l / e.HTMLCSS.scale, a.parentNode.removeChild(a), this.idPostfix = "-zoom", e.root.toHTML(t, t), this.idPostfix = "";
    6222. 

  6222. var c = e.root.HTMLspanElement().bbox.width;
    6223. 

  6223. if (c) {
    6224. 

  6224. t.style.width = Math.floor(s - 1.5 * n.em) + "px", t.style.display = "inline-block";
    6225. 

  6225. var h = (e.root.id || "MathJax-Span-" + e.root.spanID) + "-zoom", p = document.getElementById(h).firstChild;
    6226. 

  6226. while (p && p.style.width !== c) p = p.nextSibling;
    6227. 

  6227. p && (p.style.width = "100%");
    6228. 

  6228. }
    6229. 

  6229. t.style.position = i.style.position = "absolute";
    6230. 

  6230. var v = t.offsetWidth, m = t.offsetHeight, g = i.offsetHeight, y = i.offsetWidth;
    6231. 

  6231. return y === 0 && (y = i.parentNode.offsetWidth), t.style.position = i.style.position = "", {
    6232. 

  6232. Y: -o.getBBox(t).h,
    6233. 

  6233. mW: y,
    6234. 

  6234. mH: g,
    6235. 

  6235. zW: v,
    6236. 

  6236. zH: m
    6237. 

  6237. };
    6238. 

  6238. },
    6239. 

  6239. initImg: function(e) {},
    6240. 

  6240. initHTML: function(e, t) {},
    6241. 

  6241. initFont: function(t) {
    6242. 

  6242. var r = n.FONTDATA.FONTS, i = n.config.availableFonts;
    6243. 

  6243. return i && i.length && n.Font.testFont(r[t]) ? (r[t].available = !0, null) : this.allowWebFonts ? (r[t].isWebFont = !0, n.FontFaceBug && (r[t].family = t, n.msieFontCSSBug && (r[t].family += "-Web")), e.Styles({
    6244. 

  6244. "@font-face": this.Font.fontFace(t)
    6245. 

  6245. })) : null;
    6246. 

  6246. },
    6247. 

  6247. Remove: function(e) {
    6248. 

  6248. var t = document.getElementById(e.inputID + "-Frame");
    6249. 

  6249. t && (e.HTMLCSS.display && (t = t.parentNode), t.parentNode.removeChild(t)), delete e.HTMLCSS;
    6250. 

  6250. },
    6251. 

  6251. getHD: function(e) {
    6252. 

  6252. var t = e.style.position;
    6253. 

  6253. e.style.position = "absolute", this.HDimg.style.height = "0px", e.appendChild(this.HDspan);
    6254. 

  6254. var n = {
    6255. 

  6255. h: e.offsetHeight
    6256. 

  6256. };
    6257. 

  6257. return this.HDimg.style.height = n.h + "px", n.d = e.offsetHeight - n.h, n.h -= n.d, n.h /= this.em, n.d /= this.em, e.removeChild(this.HDspan), e.style.position = t, n;
    6258. 

  6258. },
    6259. 

  6259. getW: function(e) {
    6260. 

  6260. var t, n, r = (e.bbox || {}).w, i = e;
    6261. 

  6261. if (e.bbox && e.bbox.exactW) return r;
    6262. 

  6262. if (e.bbox && r >= 0 && !this.initialSkipBug || this.negativeBBoxes || !e.firstChild) t = e.offsetWidth, n = e.parentNode.offsetHeight; else if (e.bbox && r < 0 && this.msieNegativeBBoxBug) t = -e.offsetWidth, n = e.parentNode.offsetHeight; else {
    6263. 

  6263. if (this.initialSkipBug) {
    6264. 

  6264. var s = e.style.position;
    6265. 

  6265. e.style.position = "absolute", i = this.startMarker, e.insertBefore(i, e.firstChild);
    6266. 

  6266. }
    6267. 

  6267. e.appendChild(this.endMarker), t = this.endMarker.offsetLeft - i.offsetLeft, e.removeChild(this.endMarker), this.initialSkipBug && (e.removeChild(i), e.style.position = s);
    6268. 

  6268. }
    6269. 

  6269. return n != null && (e.parentNode.HH = n / this.em), t / this.em;
    6270. 

  6270. },
    6271. 

  6271. Measured: function(e, t) {
    6272. 

  6272. var n = e.bbox;
    6273. 

  6273. if (n.width == null && n.w && !n.isMultiline) {
    6274. 

  6274. var r = this.getW(e);
    6275. 

  6275. n.rw += r - n.w, n.w = r, n.exactW = !0;
    6276. 

  6276. }
    6277. 

  6277. return t || (t = e.parentNode), t.bbox || (t.bbox = n), e;
    6278. 

  6278. },
    6279. 

  6279. Remeasured: function(e, t) {
    6280. 

  6280. t.bbox = this.Measured(e, t).bbox;
    6281. 

  6281. },
    6282. 

  6282. MeasureSpans: function(e) {
    6283. 

  6283. var t = [], n, r, i, s, o, u, a;
    6284. 

  6284. for (r = 0, i = e.length; r < i; r++) {
    6285. 

  6285. n = e[r];
    6286. 

  6286. if (!n) continue;
    6287. 

  6287. s = n.bbox;
    6288. 

  6288. if (s.exactW || s.width || s.w === 0 || s.isMultiline) {
    6289. 

  6289. n.parentNode.bbox || (n.parentNode.bbox = s);
    6290. 

  6290. continue;
    6291. 

  6291. }
    6292. 

  6292. this.negativeBBoxes || !n.firstChild || s.w >= 0 && !this.initialSkipBug || s.w < 0 && this.msieNegativeBBoxBug ? t.push([ n ]) : this.initialSkipBug ? (o = this.startMarker.cloneNode(!0), u = this.endMarker.cloneNode(!0), n.insertBefore(o, n.firstChild), n.appendChild(u), t.push([ n, o, u, n.style.position ]), n.style.position = "absolute") : (u = this.endMarker.cloneNode(!0), n.appendChild(u), t.push([ n, null, u ]));
    6293. 

  6293. }
    6294. 

  6294. for (r = 0, i = t.length; r < i; r++) {
    6295. 

  6295. n = t[r][0], s = n.bbox;
    6296. 

  6296. var f = n.parentNode;
    6297. 

  6297. s.w >= 0 && !this.initialSkipBug || this.negativeBBoxes || !n.firstChild ? (a = n.offsetWidth, f.HH = n.parentNode.offsetHeight / this.em) : s.w < 0 && this.msieNegativeBBoxBug ? (a = -n.offsetWidth, f.HH = n.parentNode.offsetHeight / this.em) : a = t[r][2].offsetLeft - ((t[r][1] || {}).offsetLeft || 0), a /= this.em, s.rw += a - s.w, s.w = a, s.exactW = !0, f.bbox || (f.bbox = s);
    6298. 

  6298. }
    6299. 

  6299. for (r = 0, i = t.length; r < i; r++) n = t[r], n[1] && (n[1].parentNode.removeChild(n[1]), n[0].style.position = n[3]), n[2] && n[2].parentNode.removeChild(n[2]);
    6300. 

  6300. },
    6301. 

  6301. Em: function(e) {
    6302. 

  6302. return Math.abs(e) < 6e-4 ? "0em" : e.toFixed(3).replace(/\.?0+$/, "") + "em";
    6303. 

  6303. },
    6304. 

  6304. unEm: function(e) {
    6305. 

  6305. return parseFloat(e);
    6306. 

  6306. },
    6307. 

  6307. Px: function(e) {
    6308. 

  6308. e *= this.em;
    6309. 

  6309. var t = e < 0 ? "-" : "";
    6310. 

  6310. return t + Math.abs(e).toFixed(1).replace(/\.?0+$/, "") + "px";
    6311. 

  6311. },
    6312. 

  6312. unPx: function(e) {
    6313. 

  6313. return parseFloat(e) / this.em;
    6314. 

  6314. },
    6315. 

  6315. Percent: function(e) {
    6316. 

  6316. return (100 * e).toFixed(1).replace(/\.?0+$/, "") + "%";
    6317. 

  6317. },
    6318. 

  6318. length2em: function(e, t, i) {
    6319. 

  6319. typeof e != "string" && (e = e.toString());
    6320. 

  6320. if (e === "") return "";
    6321. 

  6321. if (e === r.SIZE.NORMAL) return 1;
    6322. 

  6322. if (e === r.SIZE.BIG) return 2;
    6323. 

  6323. if (e === r.SIZE.SMALL) return .71;
    6324. 

  6324. if (e === "infinity") return n.BIGDIMEN;
    6325. 

  6325. var s = this.FONTDATA.TeX_factor;
    6326. 

  6326. if (e.match(/mathspace$/)) return n.MATHSPACE[e] * s;
    6327. 

  6327. var o = e.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/), u = parseFloat(o[1] || "1"), a = o[2];
    6328. 

  6328. return i == null && (i = 1), t == null && (t = 1), a === "em" ? u * s : a === "ex" ? u * n.TeX.x_height * s : a === "%" ? u / 100 * i : a === "px" ? u / n.em : a === "pt" ? u / 10 * s : a === "pc" ? u * 1.2 * s : a === "in" ? u * this.pxPerInch / n.em : a === "cm" ? u * this.pxPerInch / n.em / 2.54 : a === "mm" ? u * this.pxPerInch / n.em / 25.4 : a === "mu" ? u / 18 * s * t : u * s * i;
    6329. 

  6329. },
    6330. 

  6330. thickness2em: function(e, t) {
    6331. 

  6331. var i = n.TeX.rule_thickness;
    6332. 

  6332. return e === r.LINETHICKNESS.MEDIUM ? i : e === r.LINETHICKNESS.THIN ? .67 * i : e === r.LINETHICKNESS.THICK ? 1.67 * i : this.length2em(e, t, i);
    6333. 

  6333. },
    6334. 

  6334. getPadding: function(e) {
    6335. 

  6335. var t = {
    6336. 

  6336. top: 0,
    6337. 

  6337. right: 0,
    6338. 

  6338. bottom: 0,
    6339. 

  6339. left: 0
    6340. 

  6340. }, n = !1;
    6341. 

  6341. for (var r in t) if (t.hasOwnProperty(r)) {
    6342. 

  6342. var i = e.style["padding" + r.charAt(0).toUpperCase() + r.substr(1)];
    6343. 

  6343. i && (t[r] = this.length2em(i), n = !0);
    6344. 

  6344. }
    6345. 

  6345. return n ? t : !1;
    6346. 

  6346. },
    6347. 

  6347. getBorders: function(e) {
    6348. 

  6348. var t = {
    6349. 

  6349. top: 0,
    6350. 

  6350. right: 0,
    6351. 

  6351. bottom: 0,
    6352. 

  6352. left: 0
    6353. 

  6353. }, n = {}, r = !1;
    6354. 

  6354. for (var i in t) if (t.hasOwnProperty(i)) {
    6355. 

  6355. var s = "border" + i.charAt(0).toUpperCase() + i.substr(1), o = e.style[s + "Style"];
    6356. 

  6356. o && (r = !0, t[i] = this.length2em(e.style[s + "Width"]), n[s] = [ e.style[s + "Width"], e.style[s + "Style"], e.style[s + "Color"] ].join(" "));
    6357. 

  6357. }
    6358. 

  6358. return t.css = n, r ? t : !1;
    6359. 

  6359. },
    6360. 

  6360. setBorders: function(e, t) {
    6361. 

  6361. if (t) for (var n in t.css) t.css.hasOwnProperty(n) && (e.style[n] = t.css[n]);
    6362. 

  6362. },
    6363. 

  6363. createStrut: function(e, t, n) {
    6364. 

  6364. var r = this.Element("span", {
    6365. 

  6365. isMathJax: !0,
    6366. 

  6366. style: {
    6367. 

  6367. display: "inline-block",
    6368. 

  6368. overflow: "hidden",
    6369. 

  6369. height: t + "px",
    6370. 

  6370. width: "1px",
    6371. 

  6371. marginRight: "-1px"
    6372. 

  6372. }
    6373. 

  6373. });
    6374. 

  6374. return n ? e.insertBefore(r, e.firstChild) : e.appendChild(r), r;
    6375. 

  6375. },
    6376. 

  6376. createBlank: function(e, t, n) {
    6377. 

  6377. var r = this.Element("span", {
    6378. 

  6378. isMathJax: !0,
    6379. 

  6379. style: {
    6380. 

  6380. display: "inline-block",
    6381. 

  6381. overflow: "hidden",
    6382. 

  6382. height: "1px",
    6383. 

  6383. width: this.Em(t)
    6384. 

  6384. }
    6385. 

  6385. });
    6386. 

  6386. return n ? e.insertBefore(r, e.firstChild) : e.appendChild(r), r;
    6387. 

  6387. },
    6388. 

  6388. createShift: function(e, t, n) {
    6389. 

  6389. var r = this.Element("span", {
    6390. 

  6390. style: {
    6391. 

  6391. marginLeft: this.Em(t)
    6392. 

  6392. },
    6393. 

  6393. isMathJax: !0
    6394. 

  6394. });
    6395. 

  6395. return n ? e.insertBefore(r, e.firstChild) : e.appendChild(r), r;
    6396. 

  6396. },
    6397. 

  6397. createSpace: function(e, t, i, s, o, u) {
    6398. 

  6398. t < -i && (i = -t);
    6399. 

  6399. var a = this.Em(t + i), l = this.Em(-i);
    6400. 

  6400. this.msieInlineBlockAlignBug && (l = this.Em(n.getHD(e.parentNode).d - i));
    6401. 

  6401. if (e.isBox || u) {
    6402. 

  6402. var c = e.scale == null ? 1 : e.scale;
    6403. 

  6403. e.bbox = {
    6404. 

  6404. exactW: !0,
    6405. 

  6405. h: t * c,
    6406. 

  6406. d: i * c,
    6407. 

  6407. w: s * c,
    6408. 

  6408. rw: s * c,
    6409. 

  6409. lw: 0
    6410. 

  6410. }, e.style.height = a, e.style.verticalAlign = l, e.HH = (t + i) * c;
    6411. 

  6411. } else e = this.addElement(e, "span", {
    6412. 

  6412. style: {
    6413. 

  6413. height: a,
    6414. 

  6414. verticalAlign: l
    6415. 

  6415. },
    6416. 

  6416. isMathJax: !0
    6417. 

  6417. });
    6418. 

  6418. return s >= 0 ? (e.style.width = this.Em(s), e.style.display = "inline-block", e.style.overflow = "hidden") : (this.msieNegativeSpaceBug && (e.style.height = ""), e.style.marginLeft = this.Em(s), n.safariNegativeSpaceBug && e.parentNode.firstChild == e && this.createBlank(e, 0, !0)), o && o !== r.COLOR.TRANSPARENT && (e.style.backgroundColor = o, e.style.position = "relative"), e;
    6419. 

  6419. },
    6420. 

  6420. createRule: function(e, t, r, i, s) {
    6421. 

  6421. t < -r && (r = -t);
    6422. 

  6422. var o = n.TeX.min_rule_thickness, u = 1;
    6423. 

  6423. i > 0 && i * this.em < o && (i = o / this.em), t + r > 0 && (t + r) * this.em < o && (u = 1 / (t + r) * (o / this.em), t *= u, r *= u), s ? s = "solid " + s : s = "solid", s = this.Em(i) + " " + s;
    6424. 

  6424. var a = u === 1 ? this.Em(t + r) : o + "px", f = this.Em(-r), l = this.addElement(e, "span", {
    6425. 

  6425. style: {
    6426. 

  6426. borderLeft: s,
    6427. 

  6427. display: "inline-block",
    6428. 

  6428. overflow: "hidden",
    6429. 

  6429. width: 0,
    6430. 

  6430. height: a,
    6431. 

  6431. verticalAlign: f
    6432. 

  6432. },
    6433. 

  6433. bbox: {
    6434. 

  6434. h: t,
    6435. 

  6435. d: r,
    6436. 

  6436. w: i,
    6437. 

  6437. rw: i,
    6438. 

  6438. lw: 0,
    6439. 

  6439. exactW: !0
    6440. 

  6440. },
    6441. 

  6441. noAdjust: !0,
    6442. 

  6442. HH: t + r,
    6443. 

  6443. isMathJax: !0
    6444. 

  6444. });
    6445. 

  6445. i > 0 && l.offsetWidth == 0 && (l.style.width = this.Em(i));
    6446. 

  6446. if (e.isBox || e.className == "mspace") e.bbox = l.bbox, e.HH = t + r;
    6447. 

  6447. return l;
    6448. 

  6448. },
    6449. 

  6449. createFrame: function(e, t, n, r, i, s) {
    6450. 

  6450. t < -n && (n = -t);
    6451. 

  6451. var o = 2 * i;
    6452. 

  6452. this.msieFrameSizeBug && (r < o && (r = o), t + n < o && (t = o - n)), this.msieBorderWidthBug && (o = 0);
    6453. 

  6453. var u = this.Em(t + n - o), a = this.Em(-n - i), f = this.Em(r - o), l = this.Em(i) + " " + s, c = this.addElement(e, "span", {
    6454. 

  6454. style: {
    6455. 

  6455. border: l,
    6456. 

  6456. display: "inline-block",
    6457. 

  6457. overflow: "hidden",
    6458. 

  6458. width: f,
    6459. 

  6459. height: u
    6460. 

  6460. },
    6461. 

  6461. bbox: {
    6462. 

  6462. h: t,
    6463. 

  6463. d: n,
    6464. 

  6464. w: r,
    6465. 

  6465. rw: r,
    6466. 

  6466. lw: 0,
    6467. 

  6467. exactW: !0
    6468. 

  6468. },
    6469. 

  6469. noAdjust: !0,
    6470. 

  6470. HH: t + n,
    6471. 

  6471. isMathJax: !0
    6472. 

  6472. });
    6473. 

  6473. return a && (c.style.verticalAlign = a), c;
    6474. 

  6474. },
    6475. 

  6475. createStack: function(e, t, n) {
    6476. 

  6476. this.msiePaddingWidthBug && this.createStrut(e, 0);
    6477. 

  6477. var r = String(n).match(/%$/), i = !r && n != null ? n : 0;
    6478. 

  6478. return e = this.addElement(e, "span", {
    6479. 

  6479. noAdjust: !0,
    6480. 

  6480. HH: 0,
    6481. 

  6481. isMathJax: !0,
    6482. 

  6482. style: {
    6483. 

  6483. display: "inline-block",
    6484. 

  6484. position: "relative",
    6485. 

  6485. width: r ? "100%" : this.Em(i),
    6486. 

  6486. height: 0
    6487. 

  6487. }
    6488. 

  6488. }), t || (e.parentNode.bbox = e.bbox = {
    6489. 

  6489. exactW: !0,
    6490. 

  6490. h: -this.BIGDIMEN,
    6491. 

  6491. d: -this.BIGDIMEN,
    6492. 

  6492. w: i,
    6493. 

  6493. lw: this.BIGDIMEN,
    6494. 

  6494. rw: !r && n != null ? n : -this.BIGDIMEN
    6495. 

  6495. }, r && (e.bbox.width = n)), e;
    6496. 

  6496. },
    6497. 

  6497. createBox: function(e, t) {
    6498. 

  6498. var n = this.addElement(e, "span", {
    6499. 

  6499. style: {
    6500. 

  6500. position: "absolute"
    6501. 

  6501. },
    6502. 

  6502. isBox: !0,
    6503. 

  6503. isMathJax: !0
    6504. 

  6504. });
    6505. 

  6505. return t != null && (n.style.width = t), n;
    6506. 

  6506. },
    6507. 

  6507. addBox: function(e, t) {
    6508. 

  6508. return t.style.position = "absolute", t.isBox = t.isMathJax = !0, e.appendChild(t);
    6509. 

  6509. },
    6510. 

  6510. placeBox: function(e, t, r, i) {
    6511. 

  6511. e.isMathJax = !0;
    6512. 

  6512. var s = e.parentNode, o = e.bbox, u = s.bbox;
    6513. 

  6513. this.msiePlaceBoxBug && this.addText(e, this.NBSP), this.imgSpaceBug && this.addText(e, this.imgSpace);
    6514. 

  6514. var a, f = 0;
    6515. 

  6515. e.HH != null ? a = e.HH : o ? a = Math.max(3, o.h + o.d) : a = e.offsetHeight / this.em, e.noAdjust || (a += 1, a = Math.round(a * this.em) / this.em, this.msieInlineBlockAlignBug ? this.addElement(e, "img", {
    6516. 

  6516. className: "MathJax_strut",
    6517. 

  6517. border: 0,
    6518. 

  6518. src: "about:blank",
    6519. 

  6519. isMathJax: !0,
    6520. 

  6520. style: {
    6521. 

  6521. width: 0,
    6522. 

  6522. height: this.Em(a)
    6523. 

  6523. }
    6524. 

  6524. }) : (this.addElement(e, "span", {
    6525. 

  6525. isMathJax: !0,
    6526. 

  6526. style: {
    6527. 

  6527. display: "inline-block",
    6528. 

  6528. width: 0,
    6529. 

  6529. height: this.Em(a)
    6530. 

  6530. }
    6531. 

  6531. }), n.chromeHeightBug && (a -= (e.lastChild.offsetHeight - Math.round(a * this.em)) / this.em)));
    6532. 

  6532. if (o) {
    6533. 

  6533. this.initialSkipBug && (o.lw < 0 && (f = o.lw, n.createBlank(e, -f, !0)), o.rw > o.w && n.createBlank(e, o.rw - o.w + .1));
    6534. 

  6534. if (!this.msieClipRectBug && !o.noclip && !i) {
    6535. 

  6535. var l = 3 / this.em, c = o.H == null ? o.h : o.H, h = o.D == null ? o.d : o.D, p = a - c - l, v = a + h + l, m = o.lw - 3 * l, g = 1e3;
    6536. 

  6536. this.initialSkipBug && o.lw < 0 && (m = -3 * l), o.isFixed && (g = o.width - m), e.style.clip = "rect(" + this.Em(p) + " " + this.Em(g) + " " + this.Em(v) + " " + this.Em(m) + ")";
    6537. 

  6537. }
    6538. 

  6538. }
    6539. 

  6539. e.style.top = this.Em(-r - a), e.style.left = this.Em(t + f), o && u && (o.H != null && (u.H == null || o.H + r > u.H) && (u.H = o.H + r), o.D != null && (u.D == null || o.D - r > u.D) && (u.D = o.D - r), o.h + r > u.h && (u.h = o.h + r), o.d - r > u.d && (u.d = o.d - r), u.H != null && u.H <= u.h && delete u.H, u.D != null && u.D <= u.d && delete u.D, o.w + t > u.w && (u.w = o.w + t, u.width == null && (s.style.width = this.Em(u.w))), o.rw + t > u.rw && (u.rw = o.rw + t), o.lw + t < u.lw && (u.lw = o.lw + t), o.width != null && !o.isFixed && (u.width == null && (s.style.width = u.width = "100%"), e.style.width = o.width));
    6540. 

  6540. },
    6541. 

  6541. alignBox: function(e, n, r) {
    6542. 

  6542. this.placeBox(e, 0, r);
    6543. 

  6543. var i = e.bbox;
    6544. 

  6544. if (i.isMultiline) return;
    6545. 

  6545. var s = i.width != null && !i.isFixed, o = 0, u = -i.w / 2, a = "50%";
    6546. 

  6546. this.initialSkipBug && (o = i.w - i.rw - .1, u += i.lw), this.msieMarginScaleBug ? u = u * this.em + "px" : u = this.Em(u), s && (u = "", a = 50 - parseFloat(i.width) / 2 + "%"), t.Insert(e.style, {
    6547. 

  6547. right: {
    6548. 

  6548. left: "",
    6549. 

  6549. right: this.Em(o)
    6550. 

  6550. },
    6551. 

  6551. center: {
    6552. 

  6552. left: a,
    6553. 

  6553. marginLeft: u
    6554. 

  6554. }
    6555. 

  6555. }[n]);
    6556. 

  6556. },
    6557. 

  6557. setStackWidth: function(e, t) {
    6558. 

  6558. if (typeof t == "number") {
    6559. 

  6559. e.style.width = this.Em(Math.max(0, t));
    6560. 

  6560. var n = e.bbox;
    6561. 

  6561. n && (n.w = t, n.exactW = !0), n = e.parentNode.bbox, n && (n.w = t, n.exactW = !0);
    6562. 

  6562. } else e.style.width = e.parentNode.style.width = "100%", e.bbox && (e.bbox.width = t), e.parentNode.bbox && (e.parentNode.bbox.width = t);
    6563. 

  6563. },
    6564. 

  6564. createDelimiter: function(n, i, s, o, u) {
    6565. 

  6565. if (!i) {
    6566. 

  6566. n.bbox = {
    6567. 

  6567. h: 0,
    6568. 

  6568. d: 0,
    6569. 

  6569. w: this.TeX.nulldelimiterspace,
    6570. 

  6570. lw: 0
    6571. 

  6571. }, n.bbox.rw = n.bbox.w, this.createSpace(n, n.bbox.h, n.bbox.d, n.bbox.w);
    6572. 

  6572. return;
    6573. 

  6573. }
    6574. 

  6574. o || (o = 1), s instanceof Array || (s = [ s, s ]);
    6575. 

  6575. var a = s[1];
    6576. 

  6576. s = s[0];
    6577. 

  6577. var l = {
    6578. 

  6578. alias: i
    6579. 

  6579. };
    6580. 

  6580. while (l.alias) i = l.alias, l = this.FONTDATA.DELIMITERS[i], l || (l = {
    6581. 

  6581. HW: [ 0, this.FONTDATA.VARIANT[r.VARIANT.NORMAL] ]
    6582. 

  6582. });
    6583. 

  6583. l.load && t.RestartAfter(e.Require(this.fontDir + "/fontdata-" + l.load + ".js"));
    6584. 

  6584. for (var c = 0, h = l.HW.length; c < h; c++) if (l.HW[c][0] * o >= s - .01 || c == h - 1 && !l.stretch) {
    6585. 

  6585. l.HW[c][2] && (o *= l.HW[c][2]), l.HW[c][3] && (i = l.HW[c][3]);
    6586. 

  6586. var p = this.addElement(n, "span");
    6587. 

  6587. this.createChar(p, [ i, l.HW[c][1] ], o, u), n.bbox = p.bbox, n.offset = .65 * n.bbox.w, n.scale = o;
    6588. 

  6588. return;
    6589. 

  6589. }
    6590. 

  6590. l.stretch && this["extendDelimiter" + l.dir](n, a, l.stretch, o, u);
    6591. 

  6591. },
    6592. 

  6592. extendDelimiterV: function(e, t, n, r, i) {
    6593. 

  6593. var s = this.createStack(e, !0), o = this.createBox(s), u = this.createBox(s);
    6594. 

  6594. this.createChar(o, n.top || n.ext, r, i), this.createChar(u, n.bot || n.ext, r, i);
    6595. 

  6595. var a = {
    6596. 

  6596. bbox: {
    6597. 

  6597. w: 0,
    6598. 

  6598. lw: 0,
    6599. 

  6599. rw: 0
    6600. 

  6600. }
    6601. 

  6601. }, f = a, l, c = o.bbox.h + o.bbox.d + u.bbox.h + u.bbox.d, h = -o.bbox.h;
    6602. 

  6602. this.placeBox(o, 0, h, !0), h -= o.bbox.d, n.mid && (f = this.createBox(s), this.createChar(f, n.mid, r, i), c += f.bbox.h + f.bbox.d), n.min && t < c * n.min && (t = c * n.min);
    6603. 

  6603. if (t > c) {
    6604. 

  6604. a = this.Element("span"), this.createChar(a, n.ext, r, i);
    6605. 

  6605. var p = a.bbox.h + a.bbox.d, d = p - .05, v, m, g = n.mid ? 2 : 1;
    6606. 

  6606. m = v = Math.ceil((t - c) / (g * d)), n.fullExtenders || (d = (t - c) / (g * v));
    6607. 

  6607. var y = v / (v + 1) * (p - d);
    6608. 

  6608. d = p - y, h += y + d - a.bbox.h;
    6609. 

  6609. while (g-- > 0) {
    6610. 

  6610. while (v-- > 0) this.msieCloneNodeBug ? (l = this.Element("span"), this.createChar(l, n.ext, r, i)) : l = a.cloneNode(!0), l.bbox = a.bbox, h -= d, this.placeBox(this.addBox(s, l), 0, h, !0);
    6611. 

  6611. h += y - a.bbox.d, n.mid && g && (this.placeBox(f, 0, h - f.bbox.h, !0), v = m, h += -(f.bbox.h + f.bbox.d) + y + d - a.bbox.h);
    6612. 

  6612. }
    6613. 

  6613. } else h += (c - t) / 2, n.mid && (this.placeBox(f, 0, h - f.bbox.h, !0), h += -(f.bbox.h + f.bbox.d)), h += (c - t) / 2;
    6614. 

  6614. this.placeBox(u, 0, h - u.bbox.h, !0), h -= u.bbox.h + u.bbox.d, e.bbox = {
    6615. 

  6615. w: Math.max(o.bbox.w, a.bbox.w, u.bbox.w, f.bbox.w),
    6616. 

  6616. lw: Math.min(o.bbox.lw, a.bbox.lw, u.bbox.lw, f.bbox.lw),
    6617. 

  6617. rw: Math.max(o.bbox.rw, a.bbox.rw, u.bbox.rw, f.bbox.rw),
    6618. 

  6618. h: 0,
    6619. 

  6619. d: -h,
    6620. 

  6620. exactW: !0
    6621. 

  6621. }, e.scale = r, e.offset = .55 * e.bbox.w, e.isMultiChar = !0, this.setStackWidth(s, e.bbox.w);
    6622. 

  6622. },
    6623. 

  6623. extendDelimiterH: function(e, t, n, r, i) {
    6624. 

  6624. var s = this.createStack(e, !0), o = this.createBox(s), u = this.createBox(s);
    6625. 

  6625. this.createChar(o, n.left || n.rep, r, i), this.createChar(u, n.right || n.rep, r, i);
    6626. 

  6626. var a = this.Element("span");
    6627. 

  6627. this.createChar(a, n.rep, r, i);
    6628. 

  6628. var f = {
    6629. 

  6629. bbox: {
    6630. 

  6630. h: -this.BIGDIMEN,
    6631. 

  6631. d: -this.BIGDIMEN
    6632. 

  6632. }
    6633. 

  6633. }, l;
    6634. 

  6634. this.placeBox(o, -o.bbox.lw, 0, !0);
    6635. 

  6635. var c = o.bbox.rw - o.bbox.lw + (u.bbox.rw - u.bbox.lw) - .05, h = o.bbox.rw - o.bbox.lw - .025, p;
    6636. 

  6636. n.mid && (f = this.createBox(s), this.createChar(f, n.mid, r, i), c += f.bbox.w), n.min && t < c * n.min && (t = c * n.min);
    6637. 

  6637. if (t > c) {
    6638. 

  6638. var d = a.bbox.rw - a.bbox.lw, v = d - .05, m, g, y = n.mid ? 2 : 1;
    6639. 

  6639. g = m = Math.ceil((t - c) / (y * v)), n.fillExtenders || (v = (t - c) / (y * m)), p = m / (m + 1) * (d - v), v = d - p, h -= a.bbox.lw + p;
    6640. 

  6640. while (y-- > 0) {
    6641. 

  6641. while (m-- > 0) this.cloneNodeBug ? (l = this.Element("span"), this.createChar(l, n.rep, r, i)) : l = a.cloneNode(!0), l.bbox = a.bbox, this.placeBox(this.addBox(s, l), h, 0, !0), h += v;
    6642. 

  6642. n.mid && y && (this.placeBox(f, h, 0, !0), h += f.bbox.w - p, m = g);
    6643. 

  6643. }
    6644. 

  6644. } else h -= (c - t) / 2, n.mid && (this.placeBox(f, h, 0, !0), h += f.bbox.w), h -= (c - t) / 2;
    6645. 

  6645. this.placeBox(u, h, 0, !0), e.bbox = {
    6646. 

  6646. w: h + u.bbox.rw,
    6647. 

  6647. lw: 0,
    6648. 

  6648. rw: h + u.bbox.rw,
    6649. 

  6649. H: Math.max(o.bbox.h, a.bbox.h, u.bbox.h, f.bbox.h),
    6650. 

  6650. D: Math.max(o.bbox.d, a.bbox.d, u.bbox.d, f.bbox.d),
    6651. 

  6651. h: a.bbox.h,
    6652. 

  6652. d: a.bbox.d,
    6653. 

  6653. exactW: !0
    6654. 

  6654. }, e.scale = r, e.isMultiChar = !0, this.setStackWidth(s, e.bbox.w);
    6655. 

  6655. },
    6656. 

  6656. createChar: function(e, t, n, i) {
    6657. 

  6657. e.isMathJax = !0;
    6658. 

  6658. var s = e, o = "", u = {
    6659. 

  6659. fonts: [ t[1] ],
    6660. 

  6660. noRemap: !0
    6661. 

  6661. };
    6662. 

  6662. i && i === r.VARIANT.BOLD && (u.fonts = [ t[1] + "-bold", t[1] ]), typeof t[1] != "string" && (u = t[1]);
    6663. 

  6663. if (t[0] instanceof Array) for (var a = 0, l = t[0].length; a < l; a++) o += String.fromCharCode(t[0][a]); else o = String.fromCharCode(t[0]);
    6664. 

  6664. t[4] && (n *= t[4]), n !== 1 || t[3] ? (s = this.addElement(e, "span", {
    6665. 

  6665. style: {
    6666. 

  6666. fontSize: this.Percent(n)
    6667. 

  6667. },
    6668. 

  6668. scale: n,
    6669. 

  6669. isMathJax: !0
    6670. 

  6670. }), this.handleVariant(s, u, o), e.bbox = s.bbox) : this.handleVariant(e, u, o), t[2] && (e.style.marginLeft = this.Em(t[2])), t[3] && (e.firstChild.style.verticalAlign = this.Em(t[3]), e.bbox.h += t[3], e.bbox.h < 0 && (e.bbox.h = 0)), t[5] && (e.bbox.h += t[5]), t[6] && (e.bbox.d += t[6]), this.AccentBug && e.bbox.w === 0 && (s.firstChild.nodeValue += this.NBSP);
    6671. 

  6671. },
    6672. 

  6672. positionDelimiter: function(e, t) {
    6673. 

  6673. t -= e.bbox.h, e.bbox.d -= t, e.bbox.h += t, t && (this.safariVerticalAlignBug || this.konquerorVerticalAlignBug || this.operaVerticalAlignBug && e.isMultiChar ? (e.firstChild.style.display === "" && e.style.top !== "" && (e = e.firstChild, t -= n.unEm(e.style.top)), e.style.position = "relative", e.style.top = this.Em(-t)) : (e.style.verticalAlign = this.Em(t), n.ffVerticalAlignBug && n.createRule(e.parentNode, e.bbox.h, 0, 0)));
    6674. 

  6674. },
    6675. 

  6675. handleVariant: function(e, t, n) {
    6676. 

  6676. var i = "", s, o, u, a, l = e, c = !!e.style.fontFamily;
    6677. 

  6677. if (n.length === 0) return;
    6678. 

  6678. e.bbox || (e.bbox = {
    6679. 

  6679. w: 0,
    6680. 

  6680. h: -this.BIGDIMEN,
    6681. 

  6681. d: -this.BIGDIMEN,
    6682. 

  6682. rw: -this.BIGDIMEN,
    6683. 

  6683. lw: this.BIGDIMEN
    6684. 

  6684. }), t || (t = this.FONTDATA.VARIANT[r.VARIANT.NORMAL]), a = t;
    6685. 

  6685. for (var h = 0, p = n.length; h < p; h++) {
    6686. 

  6686. t = a, s = n.charCodeAt(h), o = n.charAt(h);
    6687. 

  6687. if (s >= 55296 && s < 56319) {
    6688. 

  6688. h++, s = (s - 55296 << 10) + (n.charCodeAt(h) - 56320) + 65536;
    6689. 

  6689. if (this.FONTDATA.RemapPlane1) {
    6690. 

  6690. var d = this.FONTDATA.RemapPlane1(s, t);
    6691. 

  6691. s = d.n, t = d.variant;
    6692. 

  6692. }
    6693. 

  6693. } else {
    6694. 

  6694. var v, m, g = this.FONTDATA.RANGES;
    6695. 

  6695. for (v = 0, m = g.length; v < m; v++) {
    6696. 

  6696. if (g[v].name === "alpha" && t.noLowerCase) continue;
    6697. 

  6697. var y = t["offset" + g[v].offset];
    6698. 

  6698. if (y && s >= g[v].low && s <= g[v].high) {
    6699. 

  6699. g[v].remap && g[v].remap[s] ? s = y + g[v].remap[s] : (s = s - g[v].low + y, g[v].add && (s += g[v].add)), t["variant" + g[v].offset] && (t = this.FONTDATA.VARIANT[t["variant" + g[v].offset]]);
    6700. 

  6700. break;
    6701. 

  6701. }
    6702. 

  6702. }
    6703. 

  6703. }
    6704. 

  6704. if (t.remap && t.remap[s]) if (t.remap[s] instanceof Array) {
    6705. 

  6705. var b = t.remap[s];
    6706. 

  6706. s = b[0], t = this.FONTDATA.VARIANT[b[1]];
    6707. 

  6707. } else typeof t.remap[s] == "string" ? (n = t.remap[s] + n.substr(h + 1), h = 0, p = n.length, s = n.charCodeAt(0)) : (s = t.remap[s], t.remap.variant && (t = this.FONTDATA.VARIANT[t.remap.variant]));
    6708. 

  6708. this.FONTDATA.REMAP[s] && !t.noRemap && (s = this.FONTDATA.REMAP[s], s instanceof Array && (t = this.FONTDATA.VARIANT[s[1]], s = s[0]), typeof s == "string" && (n = s + n.substr(h + 1), h = 0, p = n.length, s = s.charCodeAt(0))), u = this.lookupChar(t, s), o = u[s];
    6709. 

  6709. if (c || !this.checkFont(u, l.style) && !o[5].img) {
    6710. 

  6710. i.length && (this.addText(l, i), i = "");
    6711. 

  6711. var w = !!l.style.fontFamily || !!e.style.fontStyle || !!e.style.fontWeight || !u.directory || c;
    6712. 

  6712. c = !1, l !== e && (w = !this.checkFont(u, e.style), l = e), w && (l = this.addElement(e, "span", {
    6713. 

  6713. isMathJax: !0,
    6714. 

  6714. subSpan: !0
    6715. 

  6715. })), this.handleFont(l, u, l !== e);
    6716. 

  6716. }
    6717. 

  6717. i = this.handleChar(l, u, o, s, i), (o[5] || {}).space || (o[0] / 1e3 > e.bbox.h && (e.bbox.h = o[0] / 1e3), o[1] / 1e3 > e.bbox.d && (e.bbox.d = o[1] / 1e3)), e.bbox.w + o[3] / 1e3 < e.bbox.lw && (e.bbox.lw = e.bbox.w + o[3] / 1e3), e.bbox.w + o[4] / 1e3 > e.bbox.rw && (e.bbox.rw = e.bbox.w + o[4] / 1e3), e.bbox.w += o[2] / 1e3;
    6718. 

  6718. }
    6719. 

  6719. i.length && this.addText(l, i), e.scale && e.scale !== 1 && (e.bbox.h *= e.scale, e.bbox.d *= e.scale, e.bbox.w *= e.scale, e.bbox.lw *= e.scale, e.bbox.rw *= e.scale), n.length == 1 && u.skew && u.skew[s] && (e.bbox.skew = u.skew[s]);
    6720. 

  6720. },
    6721. 

  6721. checkFont: function(e, t) {
    6722. 

  6722. var n = t.fontWeight || "normal";
    6723. 

  6723. return n.match(/^\d+$/) && (n = parseInt(n) >= 600 ? "bold" : "normal"), e.family.replace(/'/g, "") === t.fontFamily.replace(/'/g, "") && (e.style || "normal") === (t.fontStyle || "normal") && (e.weight || "normal") === n;
    6724. 

  6724. },
    6725. 

  6725. handleFont: function(e, t, r) {
    6726. 

  6726. e.style.fontFamily = t.family, t.directory || (e.style.fontSize = Math.floor(100 / n.scale + .5) + "%");
    6727. 

  6727. if (!n.FontFaceBug || !t.isWebFont) {
    6728. 

  6728. var i = t.style || "normal", s = t.weight || "normal";
    6729. 

  6729. if (i !== "normal" || r) e.style.fontStyle = i;
    6730. 

  6730. if (s !== "normal" || r) e.style.fontWeight = s;
    6731. 

  6731. }
    6732. 

  6732. },
    6733. 

  6733. handleChar: function(e, t, r, i, s) {
    6734. 

  6734. var o = r[5];
    6735. 

  6735. if (o.space) return s.length && this.addText(e, s), n.createShift(e, r[2] / 1e3), "";
    6736. 

  6736. if (o.img) return this.handleImg(e, t, r, i, s);
    6737. 

  6737. if (o.isUnknown && this.FONTDATA.DELIMITERS[i]) {
    6738. 

  6738. s.length && this.addText(e, s);
    6739. 

  6739. var u = e.scale;
    6740. 

  6740. return n.createDelimiter(e, i, 0, 1, t), this.FONTDATA.DELIMITERS[i].dir === "V" && (e.style.verticalAlign = this.Em(e.bbox.d), e.bbox.h += e.bbox.d, e.bbox.d = 0), e.scale = u, r[0] = e.bbox.h * 1e3, r[1] = e.bbox.d * 1e3, r[2] = e.bbox.w * 1e3, r[3] = e.bbox.lw * 1e3, r[4] = e.bbox.rw * 1e3, "";
    6741. 

  6741. }
    6742. 

  6742. if (o.c == null) if (i <= 65535) o.c = String.fromCharCode(i); else {
    6743. 

  6743. var a = i - 65536;
    6744. 

  6744. o.c = String.fromCharCode((a >> 10) + 55296) + String.fromCharCode((a & 1023) + 56320);
    6745. 

  6745. }
    6746. 

  6746. return o.rfix ? (this.addText(e, s + o.c), n.createShift(e, o.rfix / 1e3), "") : r[2] || !this.msieAccentBug || s.length ? s + o.c : (n.createShift(e, r[3] / 1e3), n.createShift(e, (r[4] - r[3]) / 1e3), this.addText(e, o.c), n.createShift(e, -r[4] / 1e3), "");
    6747. 

  6747. },
    6748. 

  6748. handleImg: function(e, t, n, r, i) {
    6749. 

  6749. return i;
    6750. 

  6750. },
    6751. 

  6751. lookupChar: function(e, t) {
    6752. 

  6752. var r, i;
    6753. 

  6753. if (!e.FONTS) {
    6754. 

  6754. var s = this.FONTDATA.FONTS, o = e.fonts || this.FONTDATA.VARIANT.normal.fonts;
    6755. 

  6755. o instanceof Array || (o = [ o ]), e.fonts != o && (e.fonts = o), e.FONTS = [];
    6756. 

  6756. for (r = 0, i = o.length; r < i; r++) s[o[r]] && (e.FONTS.push(s[o[r]]), s[o[r]].name = o[r]);
    6757. 

  6757. }
    6758. 

  6758. for (r = 0, i = e.FONTS.length; r < i; r++) {
    6759. 

  6759. var u = e.FONTS[r];
    6760. 

  6760. typeof u == "string" && (delete e.FONTS, this.loadFont(u));
    6761. 

  6761. if (u[t]) {
    6762. 

  6762. u[t].length === 5 && (u[t][5] = {});
    6763. 

  6763. if (!n.allowWebFonts || !!u.available) return u;
    6764. 

  6764. this.loadWebFont(u);
    6765. 

  6765. } else this.findBlock(u, t);
    6766. 

  6766. }
    6767. 

  6767. return this.unknownChar(e, t);
    6768. 

  6768. },
    6769. 

  6769. unknownChar: function(e, r) {
    6770. 

  6770. var i = e.defaultFont || {
    6771. 

  6771. family: n.config.undefinedFamily
    6772. 

  6772. };
    6773. 

  6773. return e.bold && (i.weight = "bold"), e.italic && (i.style = "italic"), i[r] || (i[r] = [ 800, 200, 500, 0, 500, {
    6774. 

  6774. isUnknown: !0
    6775. 

  6775. } ]), t.signal.Post([ "HTML-CSS Jax - unknown char", r, e ]), i;
    6776. 

  6776. },
    6777. 

  6777. findBlock: function(e, t) {
    6778. 

  6778. if (e.Ranges) for (var n = 0, r = e.Ranges.length; n < r; n++) {
    6779. 

  6779. if (t < e.Ranges[n][0]) return;
    6780. 

  6780. if (t <= e.Ranges[n][1]) {
    6781. 

  6781. var i = e.Ranges[n][2];
    6782. 

  6782. for (var s = e.Ranges.length - 1; s >= 0; s--) e.Ranges[s][2] == i && e.Ranges.splice(s, 1);
    6783. 

  6783. this.loadFont(e.directory + "/" + i + ".js");
    6784. 

  6784. }
    6785. 

  6785. }
    6786. 

  6786. },
    6787. 

  6787. loadFont: function(r) {
    6788. 

  6788. var i = MathJax.Callback.Queue();
    6789. 

  6789. i.Push([ "Require", e, this.fontDir + "/" + r ]), this.imgFonts && (MathJax.isPacked || (r = r.replace(/\/([^\/]*)$/, n.imgPacked + "/$1")), i.Push([ "Require", e, this.webfontDir + "/png/" + r ])), t.RestartAfter(i.Push({}));
    6790. 

  6790. },
    6791. 

  6791. loadWebFont: function(e) {
    6792. 

  6792. e.available = e.isWebFont = !0, n.FontFaceBug && (e.family = e.name, n.msieFontCSSBug && (e.family += "-Web")), t.RestartAfter(this.Font.loadWebFont(e));
    6793. 

  6793. },
    6794. 

  6794. loadWebFontError: function(n, r) {
    6795. 

  6795. t.Startup.signal.Post("HTML-CSS Jax - disable web fonts"), n.isWebFont = !1, this.config.imageFont && this.config.imageFont === this.fontInUse ? (this.imgFonts = !0, t.Startup.signal.Post("HTML-CSS Jax - switch to image fonts"), t.Startup.signal.Post("HTML-CSS Jax - using image fonts"), MathJax.Message.Set("Web-Fonts not available -- using image fonts instead", null, 3e3), e.Require(this.directory + "/imageFonts.js", r)) : (this.allowWebFonts = !1, r());
    6796. 

  6796. },
    6797. 

  6797. Element: MathJax.HTML.Element,
    6798. 

  6798. addElement: MathJax.HTML.addElement,
    6799. 

  6799. TextNode: MathJax.HTML.TextNode,
    6800. 

  6800. addText: MathJax.HTML.addText,
    6801. 

  6801. ucMatch: MathJax.HTML.ucMatch,
    6802. 

  6802. BIGDIMEN: 1e7,
    6803. 

  6803. ID: 0,
    6804. 

  6804. idPostfix: "",
    6805. 

  6805. GetID: function() {
    6806. 

  6806. return this.ID++, this.ID;
    6807. 

  6807. },
    6808. 

  6808. MATHSPACE: {
    6809. 

  6809. veryverythinmathspace: 1 / 18,
    6810. 

  6810. verythinmathspace: 2 / 18,
    6811. 

  6811. thinmathspace: 3 / 18,
    6812. 

  6812. mediummathspace: 4 / 18,
    6813. 

  6813. thickmathspace: 5 / 18,
    6814. 

  6814. verythickmathspace: 6 / 18,
    6815. 

  6815. veryverythickmathspace: 7 / 18,
    6816. 

  6816. negativeveryverythinmathspace: -1 / 18,
    6817. 

  6817. negativeverythinmathspace: -2 / 18,
    6818. 

  6818. negativethinmathspace: -3 / 18,
    6819. 

  6819. negativemediummathspace: -4 / 18,
    6820. 

  6820. negativethickmathspace: -5 / 18,
    6821. 

  6821. negativeverythickmathspace: -6 / 18,
    6822. 

  6822. negativeveryverythickmathspace: -7 / 18
    6823. 

  6823. },
    6824. 

  6824. TeX: {
    6825. 

  6825. x_height: .430554,
    6826. 

  6826. quad: 1,
    6827. 

  6827. num1: .676508,
    6828. 

  6828. num2: .393732,
    6829. 

  6829. num3: .44373,
    6830. 

  6830. denom1: .685951,
    6831. 

  6831. denom2: .344841,
    6832. 

  6832. sup1: .412892,
    6833. 

  6833. sup2: .362892,
    6834. 

  6834. sup3: .288888,
    6835. 

  6835. sub1: .15,
    6836. 

  6836. sub2: .247217,
    6837. 

  6837. sup_drop: .386108,
    6838. 

  6838. sub_drop: .05,
    6839. 

  6839. delim1: 2.39,
    6840. 

  6840. delim2: 1,
    6841. 

  6841. axis_height: .25,
    6842. 

  6842. rule_thickness: .06,
    6843. 

  6843. big_op_spacing1: .111111,
    6844. 

  6844. big_op_spacing2: .166666,
    6845. 

  6845. big_op_spacing3: .2,
    6846. 

  6846. big_op_spacing4: .6,
    6847. 

  6847. big_op_spacing5: .1,
    6848. 

  6848. scriptspace: .1,
    6849. 

  6849. nulldelimiterspace: .12,
    6850. 

  6850. delimiterfactor: 901,
    6851. 

  6851. delimitershortfall: .1,
    6852. 

  6852. min_rule_thickness: 1.25
    6853. 

  6853. },
    6854. 

  6854. NBSP: "\u00a0",
    6855. 

  6855. rfuzz: 0
    6856. 

  6856. }), MathJax.Hub.Register.StartupHook("mml Jax Ready", function() {
    6857. 

  6857. r = MathJax.ElementJax.mml, r.mbase.Augment({
    6858. 

  6858. toHTML: function(e) {
    6859. 

  6859. e = this.HTMLcreateSpan(e), this.type != "mrow" && (e = this.HTMLhandleSize(e));
    6860. 

  6860. for (var t = 0, n = this.data.length; t < n; t++) this.data[t] && this.data[t].toHTML(e);
    6861. 

  6861. var r = this.HTMLcomputeBBox(e), i = e.bbox.h, s = e.bbox.d;
    6862. 

  6862. for (t = 0, n = r.length; t < n; t++) r[t].HTMLstretchV(e, i, s);
    6863. 

  6863. return r.length && this.HTMLcomputeBBox(e, !0), this.HTMLlineBreaks(e) && (e = this.HTMLmultiline(e)), this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    6864. 

  6864. },
    6865. 

  6865. HTMLlineBreaks: function() {
    6866. 

  6866. return !1;
    6867. 

  6867. },
    6868. 

  6868. HTMLmultiline: function() {
    6869. 

  6869. r.mbase.HTMLautoloadFile("multiline");
    6870. 

  6870. },
    6871. 

  6871. HTMLcomputeBBox: function(e, t, n, r) {
    6872. 

  6872. n == null && (n = 0), r == null && (r = this.data.length);
    6873. 

  6873. var i = e.bbox = {
    6874. 

  6874. exactW: !0
    6875. 

  6875. }, s = [];
    6876. 

  6876. while (n < r) {
    6877. 

  6877. var o = this.data[n];
    6878. 

  6878. if (!o) continue;
    6879. 

  6879. !t && o.HTMLcanStretch("Vertical") && (s.push(o), o = o.CoreMO() || o), this.HTMLcombineBBoxes(o, i), n++;
    6880. 

  6880. }
    6881. 

  6881. return this.HTMLcleanBBox(i), s;
    6882. 

  6882. },
    6883. 

  6883. HTMLcombineBBoxes: function(e, t) {
    6884. 

  6884. t.w == null && this.HTMLemptyBBox(t);
    6885. 

  6885. var r = e.bbox ? e : e.HTMLspanElement();
    6886. 

  6886. if (!r || !r.bbox) return;
    6887. 

  6887. var i = r.bbox;
    6888. 

  6888. i.d > t.d && (t.d = i.d), i.h > t.h && (t.h = i.h), i.D != null && i.D > t.D && (t.D = i.D), i.H != null && i.H > t.H && (t.H = i.H), r.style.paddingLeft && (t.w += n.unEm(r.style.paddingLeft) * (r.scale || 1)), t.w + i.lw < t.lw && (t.lw = t.w + i.lw), t.w + i.rw > t.rw && (t.rw = t.w + i.rw), t.w += i.w, r.style.paddingRight && (t.w += n.unEm(r.style.paddingRight) * (r.scale || 1)), i.width && (t.width = i.width), i.ic ? t.ic = i.ic : delete t.ic, t.exactW && !i.exactW && delete t.exactW;
    6889. 

  6889. },
    6890. 

  6890. HTMLemptyBBox: function(e) {
    6891. 

  6891. return e.h = e.d = e.H = e.D = e.rw = -n.BIGDIMEN, e.w = 0, e.lw = n.BIGDIMEN, e;
    6892. 

  6892. },
    6893. 

  6893. HTMLcleanBBox: function(e) {
    6894. 

  6894. e.h === this.BIGDIMEN && (e.h = e.d = e.H = e.D = e.w = e.rw = e.lw = 0), e.D <= e.d && delete e.D, e.H <= e.h && delete e.H;
    6895. 

  6895. },
    6896. 

  6896. HTMLzeroBBox: function() {
    6897. 

  6897. return {
    6898. 

  6898. h: 0,
    6899. 

  6899. d: 0,
    6900. 

  6900. w: 0,
    6901. 

  6901. lw: 0,
    6902. 

  6902. rw: 0
    6903. 

  6903. };
    6904. 

  6904. },
    6905. 

  6905. HTMLcanStretch: function(e) {
    6906. 

  6906. if (this.isEmbellished()) {
    6907. 

  6907. var t = this.Core();
    6908. 

  6908. if (t && t !== this) return t.HTMLcanStretch(e);
    6909. 

  6909. }
    6910. 

  6910. return !1;
    6911. 

  6911. },
    6912. 

  6912. HTMLstretchH: function(e, t) {
    6913. 

  6913. return this.HTMLspanElement();
    6914. 

  6914. },
    6915. 

  6915. HTMLstretchV: function(e, t, n) {
    6916. 

  6916. return this.HTMLspanElement();
    6917. 

  6917. },
    6918. 

  6918. HTMLnotEmpty: function(e) {
    6919. 

  6919. while (e) {
    6920. 

  6920. if (e.type !== "mrow" && e.type !== "texatom" || e.data.length > 1) return !0;
    6921. 

  6921. e = e.data[0];
    6922. 

  6922. }
    6923. 

  6923. return !1;
    6924. 

  6924. },
    6925. 

  6925. HTMLmeasureChild: function(e, t) {
    6926. 

  6926. this.data[e] ? n.Measured(this.data[e].toHTML(t), t) : t.bbox = this.HTMLzeroBBox();
    6927. 

  6927. },
    6928. 

  6928. HTMLboxChild: function(e, t) {
    6929. 

  6929. return this.data[e] ? this.data[e].toHTML(t) : (t.bbox || (t.bbox = this.HTMLzeroBBox()), null);
    6930. 

  6930. },
    6931. 

  6931. HTMLcreateSpan: function(e) {
    6932. 

  6932. if (this.spanID) {
    6933. 

  6933. var t = this.HTMLspanElement();
    6934. 

  6934. if (t && (t.parentNode === e || (t.parentNode || {}).parentNode === e)) {
    6935. 

  6935. while (t.firstChild) t.removeChild(t.firstChild);
    6936. 

  6936. return t.bbox = {
    6937. 

  6937. w: 0,
    6938. 

  6938. h: 0,
    6939. 

  6939. d: 0,
    6940. 

  6940. lw: 0,
    6941. 

  6941. rw: 0
    6942. 

  6942. }, t.scale = 1, t.isMultChar = t.HH = null, t.style.cssText = "", t;
    6943. 

  6943. }
    6944. 

  6944. }
    6945. 

  6945. return this.href && (e = n.addElement(e, "a", {
    6946. 

  6946. href: this.href,
    6947. 

  6947. isMathJax: !0
    6948. 

  6948. })), e = n.addElement(e, "span", {
    6949. 

  6949. className: this.type,
    6950. 

  6950. isMathJax: !0
    6951. 

  6951. }), n.imgHeightBug && (e.style.display = "inline-block"), this["class"] && (e.className += " " + this["class"]), this.spanID || (this.spanID = n.GetID()), e.id = (this.id || "MathJax-Span-" + this.spanID) + n.idPostfix, e.bbox = {
    6952. 

  6952. w: 0,
    6953. 

  6953. h: 0,
    6954. 

  6954. d: 0,
    6955. 

  6955. lw: 0,
    6956. 

  6956. rw: 0
    6957. 

  6957. }, this.styles = {}, this.style && (e.style.cssText = this.style, e.style.fontSize && (this.mathsize = e.style.fontSize, e.style.fontSize = ""), this.styles = {
    6958. 

  6958. border: n.getBorders(e),
    6959. 

  6959. padding: n.getPadding(e)
    6960. 

  6960. }, this.styles.border && (e.style.border = ""), this.styles.padding && (e.style.padding = "")), this.href && (e.parentNode.bbox = e.bbox), e;
    6961. 

  6961. },
    6962. 

  6962. HTMLspanElement: function() {
    6963. 

  6963. return this.spanID ? document.getElementById((this.id || "MathJax-Span-" + this.spanID) + n.idPostfix) : null;
    6964. 

  6964. },
    6965. 

  6965. HTMLhandleVariant: function(e, t, r) {
    6966. 

  6966. n.handleVariant(e, t, r);
    6967. 

  6967. },
    6968. 

  6968. HTMLhandleSize: function(e) {
    6969. 

  6969. return e.scale || (e.scale = this.HTMLgetScale(), e.scale !== 1 && (e.style.fontSize = n.Percent(e.scale))), e;
    6970. 

  6970. },
    6971. 

  6971. HTMLhandleColor: function(e) {
    6972. 

  6972. var t = this.getValues("mathcolor", "color");
    6973. 

  6973. this.mathbackground && (t.mathbackground = this.mathbackground), this.background && (t.background = this.background), this.style && e.style.backgroundColor && (t.mathbackground = e.style.backgroundColor, e.style.backgroundColor = "transparent");
    6974. 

  6974. var i = (this.styles || {}).border, s = (this.styles || {}).padding;
    6975. 

  6975. t.color && !this.mathcolor && (t.mathcolor = t.color), t.background && !this.mathbackground && (t.mathbackground = t.background), t.mathcolor && (e.style.color = t.mathcolor);
    6976. 

  6976. if (t.mathbackground && t.mathbackground !== r.COLOR.TRANSPARENT || i || s) {
    6977. 

  6977. var o = e.bbox, u = o.exact ? 0 : 1 / n.em, a = 0, l = 0, c = e.style.paddingLeft, h = e.style.paddingRight;
    6978. 

  6978. this.isToken && (a = o.lw, l = o.rw - o.w), c !== "" && (a += n.unEm(c) * (e.scale || 1)), h !== "" && (l -= n.unEm(h) * (e.scale || 1));
    6979. 

  6979. var p = n.PaddingWidthBug || o.keepPadding || o.exactW ? 0 : l - a, v = Math.max(0, n.getW(e) + p), m = o.h + o.d, g = -o.d, y = 0, b = 0;
    6980. 

  6980. v > 0 && (v += 2 * u, a -= u), m > 0 && (m += 2 * u, g -= u), l = -v - a, i && (l -= i.right, g -= i.bottom, y += i.left, b += i.right, o.h += i.top, o.d += i.bottom, o.w += i.left + i.right, o.lw -= i.left, o.rw += i.right), s && (m += s.top + s.bottom, v += s.left + s.right, l -= s.right, g -= s.bottom, y += s.left, b += s.right, o.h += s.top, o.d += s.bottom, o.w += s.left + s.right, o.lw -= s.left, o.rw += s.right), b && (e.style.paddingRight = n.Em(b));
    6981. 

  6981. var w = n.Element("span", {
    6982. 

  6982. id: "MathJax-Color-" + this.spanID + n.idPostfix,
    6983. 

  6983. isMathJax: !0,
    6984. 

  6984. style: {
    6985. 

  6985. display: "inline-block",
    6986. 

  6986. backgroundColor: t.mathbackground,
    6987. 

  6987. width: n.Em(v),
    6988. 

  6988. height: n.Em(m),
    6989. 

  6989. verticalAlign: n.Em(g),
    6990. 

  6990. marginLeft: n.Em(a),
    6991. 

  6991. marginRight: n.Em(l)
    6992. 

  6992. }
    6993. 

  6993. });
    6994. 

  6994. return n.setBorders(w, i), o.width && (w.style.width = o.width, w.style.marginRight = "-" + o.width), n.msieInlineBlockAlignBug && (w.style.position = "relative", w.style.width = w.style.height = 0, w.style.verticalAlign = w.style.marginLeft = w.style.marginRight = "", w.style.border = w.style.padding = "", i && n.msieBorderWidthBug && (m += i.top + i.bottom, v += i.left + i.right), w.style.width = n.Em(y + u), n.placeBox(n.addElement(w, "span", {
    6995. 

  6995. noAdjust: !0,
    6996. 

  6996. isMathJax: !0,
    6997. 

  6997. style: {
    6998. 

  6998. display: "inline-block",
    6999. 

  6999. position: "absolute",
    7000. 

  7000. overflow: "hidden",
    7001. 

  7001. background: t.mathbackground || "transparent",
    7002. 

  7002. width: n.Em(v),
    7003. 

  7003. height: n.Em(m)
    7004. 

  7004. }
    7005. 

  7005. }), a, o.h + u), n.setBorders(w.firstChild, i)), e.parentNode.insertBefore(w, e), n.msieColorPositionBug && (e.style.position = "relative"), w;
    7006. 

  7006. }
    7007. 

  7007. return null;
    7008. 

  7008. },
    7009. 

  7009. HTMLremoveColor: function() {
    7010. 

  7010. var e = document.getElementById("MathJax-Color-" + this.spanID + n.idPostfix);
    7011. 

  7011. e && e.parentNode.removeChild(e);
    7012. 

  7012. },
    7013. 

  7013. HTMLhandleSpace: function(e) {
    7014. 

  7014. if (this.useMMLspacing) {
    7015. 

  7015. if (this.type !== "mo") return;
    7016. 

  7016. var t = this.getValues("scriptlevel", "lspace", "rspace");
    7017. 

  7017. if (t.scriptlevel <= 0 || this.hasValue("lspace") || this.hasValue("rspace")) {
    7018. 

  7018. var r = this.HTMLgetMu(e);
    7019. 

  7019. t.lspace = Math.max(0, n.length2em(t.lspace, r)), t.rspace = Math.max(0, n.length2em(t.rspace, r));
    7020. 

  7020. var i = this, s = this.Parent();
    7021. 

  7021. while (s && s.isEmbellished() && s.Core() === i) i = s, s = s.Parent(), e = i.HTMLspanElement();
    7022. 

  7022. t.lspace && (e.style.paddingLeft = n.Em(t.lspace)), t.rspace && (e.style.paddingRight = n.Em(t.rspace));
    7023. 

  7023. }
    7024. 

  7024. } else {
    7025. 

  7025. var o = this.texSpacing();
    7026. 

  7026. o !== "" && (o = n.length2em(o, this.HTMLgetScale()) / (e.scale || 1), e.style.paddingLeft && (o += n.unEm(e.style.paddingLeft)), e.style.paddingLeft = n.Em(o));
    7027. 

  7027. }
    7028. 

  7028. },
    7029. 

  7029. HTMLgetScale: function() {
    7030. 

  7030. var e = 1, t = this.getValues("mathsize", "scriptlevel", "fontsize");
    7031. 

  7031. if (this.style) {
    7032. 

  7032. var r = this.HTMLspanElement();
    7033. 

  7033. r.style.fontSize != "" && (t.fontsize = r.style.fontSize);
    7034. 

  7034. }
    7035. 

  7035. return t.fontsize && !this.mathsize && (t.mathsize = t.fontsize), t.scriptlevel !== 0 && (t.scriptlevel > 2 && (t.scriptlevel = 2), e = Math.pow(this.Get("scriptsizemultiplier"), t.scriptlevel), t.scriptminsize = n.length2em(this.Get("scriptminsize")), e < t.scriptminsize && (e = t.scriptminsize)), this.isToken && (e *= n.length2em(t.mathsize)), e;
    7036. 

  7036. },
    7037. 

  7037. HTMLgetMu: function(e) {
    7038. 

  7038. var t = 1, n = this.getValues("scriptlevel", "scriptsizemultiplier");
    7039. 

  7039. return e.scale && e.scale !== 1 && (t = 1 / e.scale), n.scriptlevel !== 0 && (n.scriptlevel > 2 && (n.scriptlevel = 2), t = Math.sqrt(Math.pow(n.scriptsizemultiplier, n.scriptlevel))), t;
    7040. 

  7040. },
    7041. 

  7041. HTMLgetVariant: function() {
    7042. 

  7042. var e = this.getValues("mathvariant", "fontfamily", "fontweight", "fontstyle");
    7043. 

  7043. e.hasVariant = this.Get("mathvariant", !0), e.hasVariant || (e.family = e.fontfamily, e.weight = e.fontweight, e.style = e.fontstyle);
    7044. 

  7044. if (this.style) {
    7045. 

  7045. var t = this.HTMLspanElement();
    7046. 

  7046. !e.family && t.style.fontFamily && (e.family = t.style.fontFamily), !e.weight && t.style.fontWeight && (e.weight = t.style.fontWeight), !e.style && t.style.fontStyle && (e.style = t.style.fontStyle);
    7047. 

  7047. }
    7048. 

  7048. e.weight && e.weight.match(/^\d+$/) && (e.weight = parseInt(e.weight) > 600 ? "bold" : "normal");
    7049. 

  7049. var i = e.mathvariant;
    7050. 

  7050. return this.variantForm && (i = "-" + n.fontInUse + "-variant"), e.family && !e.hasVariant ? (!e.weight && e.mathvariant.match(/bold/) && (e.weight = "bold"), !e.style && e.mathvariant.match(/italic/) && (e.style = "italic"), {
    7051. 

  7051. FONTS: [],
    7052. 

  7052. fonts: [],
    7053. 

  7053. noRemap: !0,
    7054. 

  7054. defaultFont: {
    7055. 

  7055. family: e.family,
    7056. 

  7056. style: e.style,
    7057. 

  7057. weight: e.weight
    7058. 

  7058. }
    7059. 

  7059. }) : (e.weight === "bold" ? i = {
    7060. 

  7060. normal: r.VARIANT.BOLD,
    7061. 

  7061. italic: r.VARIANT.BOLDITALIC,
    7062. 

  7062. fraktur: r.VARIANT.BOLDFRAKTUR,
    7063. 

  7063. script: r.VARIANT.BOLDSCRIPT,
    7064. 

  7064. "sans-serif": r.VARIANT.BOLDSANSSERIF,
    7065. 

  7065. "sans-serif-italic": r.VARIANT.SANSSERIFBOLDITALIC
    7066. 

  7066. }[i] || i : e.weight === "normal" && (i = {
    7067. 

  7067. bold: r.VARIANT.normal,
    7068. 

  7068. "bold-italic": r.VARIANT.ITALIC,
    7069. 

  7069. "bold-fraktur": r.VARIANT.FRAKTUR,
    7070. 

  7070. "bold-script": r.VARIANT.SCRIPT,
    7071. 

  7071. "bold-sans-serif": r.VARIANT.SANSSERIF,
    7072. 

  7072. "sans-serif-bold-italic": r.VARIANT.SANSSERIFITALIC
    7073. 

  7073. }[i] || i), e.style === "italic" ? i = {
    7074. 

  7074. normal: r.VARIANT.ITALIC,
    7075. 

  7075. bold: r.VARIANT.BOLDITALIC,
    7076. 

  7076. "sans-serif": r.VARIANT.SANSSERIFITALIC,
    7077. 

  7077. "bold-sans-serif": r.VARIANT.SANSSERIFBOLDITALIC
    7078. 

  7078. }[i] || i : e.style === "normal" && (i = {
    7079. 

  7079. italic: r.VARIANT.NORMAL,
    7080. 

  7080. "bold-italic": r.VARIANT.BOLD,
    7081. 

  7081. "sans-serif-italic": r.VARIANT.SANSSERIF,
    7082. 

  7082. "sans-serif-bold-italic": r.VARIANT.BOLDSANSSERIF
    7083. 

  7083. }[i] || i), n.FONTDATA.VARIANT[i]);
    7084. 

  7084. }
    7085. 

  7085. }, {
    7086. 

  7086. HTMLautoload: function() {
    7087. 

  7087. var r = n.autoloadDir + "/" + this.type + ".js";
    7088. 

  7088. t.RestartAfter(e.Require(r));
    7089. 

  7089. },
    7090. 

  7090. HTMLautoloadFile: function(r) {
    7091. 

  7091. var i = n.autoloadDir + "/" + r + ".js";
    7092. 

  7092. t.RestartAfter(e.Require(i));
    7093. 

  7093. },
    7094. 

  7094. HTMLstretchH: function(e, t) {
    7095. 

  7095. return this.HTMLremoveColor(), this.toHTML(e, t);
    7096. 

  7096. },
    7097. 

  7097. HTMLstretchV: function(e, t, n) {
    7098. 

  7098. return this.HTMLremoveColor(), this.toHTML(e, t, n);
    7099. 

  7099. }
    7100. 

  7100. }), r.chars.Augment({
    7101. 

  7101. toHTML: function(e, t, r, i) {
    7102. 

  7102. var s = this.data.join("").replace(/[\u2061-\u2064]/g, "");
    7103. 

  7103. r && (s = r(s, i));
    7104. 

  7104. if (t.fontInherit) {
    7105. 

  7105. var o = Math.floor(100 / n.scale + .5) + "%";
    7106. 

  7106. n.addElement(e, "span", {
    7107. 

  7107. style: {
    7108. 

  7108. "font-size": o
    7109. 

  7109. }
    7110. 

  7110. }, [ s ]), t.bold && (e.lastChild.style.fontWeight = "bold"), t.italic && (e.lastChild.style.fontStyle = "italic");
    7111. 

  7111. var u = n.getHD(e), a = n.getW(e);
    7112. 

  7112. e.bbox = {
    7113. 

  7113. h: u.h,
    7114. 

  7114. d: u.d,
    7115. 

  7115. w: a,
    7116. 

  7116. lw: 0,
    7117. 

  7117. rw: a,
    7118. 

  7118. exactW: !0
    7119. 

  7119. };
    7120. 

  7120. } else this.HTMLhandleVariant(e, t, s);
    7121. 

  7121. }
    7122. 

  7122. }), r.entity.Augment({
    7123. 

  7123. toHTML: function(e, t, r, i) {
    7124. 

  7124. var s = this.toString().replace(/[\u2061-\u2064]/g, "");
    7125. 

  7125. r && (s = r(s, i));
    7126. 

  7126. if (t.fontInherit) {
    7127. 

  7127. var o = Math.floor(100 / n.scale + .5) + "%";
    7128. 

  7128. n.addElement(e, "span", {
    7129. 

  7129. style: {
    7130. 

  7130. "font-size": o
    7131. 

  7131. }
    7132. 

  7132. }, [ s ]), t.bold && (e.lastChild.style.fontWeight = "bold"), t.italic && (e.lastChild.style.fontStyle = "italic");
    7133. 

  7133. var u = n.getHD(e), a = n.getW(e);
    7134. 

  7134. e.bbox = {
    7135. 

  7135. h: u.h,
    7136. 

  7136. d: u.d,
    7137. 

  7137. w: a,
    7138. 

  7138. lw: 0,
    7139. 

  7139. rw: a,
    7140. 

  7140. exactW: !0
    7141. 

  7141. };
    7142. 

  7142. } else this.HTMLhandleVariant(e, t, s);
    7143. 

  7143. }
    7144. 

  7144. }), r.mi.Augment({
    7145. 

  7145. toHTML: function(e) {
    7146. 

  7146. e = this.HTMLhandleSize(this.HTMLcreateSpan(e)), e.bbox = null;
    7147. 

  7147. var t = this.HTMLgetVariant();
    7148. 

  7148. for (var r = 0, i = this.data.length; r < i; r++) this.data[r] && this.data[r].toHTML(e, t);
    7149. 

  7149. e.bbox || (e.bbox = {
    7150. 

  7150. w: 0,
    7151. 

  7151. h: 0,
    7152. 

  7152. d: 0,
    7153. 

  7153. rw: 0,
    7154. 

  7154. lw: 0
    7155. 

  7155. });
    7156. 

  7156. var s = this.data.join(""), o = e.bbox;
    7157. 

  7157. return o.skew && s.length !== 1 && delete o.skew, o.rw > o.w && s.length === 1 && !t.noIC && (o.ic = o.rw - o.w, n.createBlank(e, o.ic), o.w = o.rw), this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7158. 

  7158. }
    7159. 

  7159. }), r.mn.Augment({
    7160. 

  7160. toHTML: function(e) {
    7161. 

  7161. e = this.HTMLhandleSize(this.HTMLcreateSpan(e)), e.bbox = null;
    7162. 

  7162. var t = this.HTMLgetVariant();
    7163. 

  7163. for (var n = 0, r = this.data.length; n < r; n++) this.data[n] && this.data[n].toHTML(e, t);
    7164. 

  7164. return e.bbox || (e.bbox = {
    7165. 

  7165. w: 0,
    7166. 

  7166. h: 0,
    7167. 

  7167. d: 0,
    7168. 

  7168. rw: 0,
    7169. 

  7169. lw: 0
    7170. 

  7170. }), this.data.join("").length !== 1 && delete e.bbox.skew, this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7171. 

  7171. }
    7172. 

  7172. }), r.mo.Augment({
    7173. 

  7173. toHTML: function(e) {
    7174. 

  7174. e = this.HTMLhandleSize(this.HTMLcreateSpan(e));
    7175. 

  7175. if (this.data.length == 0) return e;
    7176. 

  7176. e.bbox = null;
    7177. 

  7177. var t = this.data.join(""), i = this.HTMLgetVariant(), s = this.getValues("largeop", "displaystyle");
    7178. 

  7178. s.largeop && (i = n.FONTDATA.VARIANT[s.displaystyle ? "-largeOp" : "-smallOp"]);
    7179. 

  7179. var o = this.CoreParent(), u = o && o.isa(r.msubsup) && this !== o.data[o.base], a = u ? this.HTMLremapChars : null;
    7180. 

  7180. if (t.length === 1 && o && o.isa(r.munderover) && this.CoreText(o.data[o.base]).length === 1) {
    7181. 

  7181. var l = o.data[o.over], c = o.data[o.under];
    7182. 

  7182. l && this === l.CoreMO() && o.Get("accent") ? a = n.FONTDATA.REMAPACCENT : c && this === c.CoreMO() && o.Get("accentunder") && (a = n.FONTDATA.REMAPACCENTUNDER);
    7183. 

  7183. }
    7184. 

  7184. u && t.match(/['`"\u00B4\u2032-\u2037\u2057]/) && (i = n.FONTDATA.VARIANT["-" + n.fontInUse + "-variant"]);
    7185. 

  7185. for (var h = 0, p = this.data.length; h < p; h++) this.data[h] && this.data[h].toHTML(e, i, this.HTMLremap, a);
    7186. 

  7186. e.bbox || (e.bbox = {
    7187. 

  7187. w: 0,
    7188. 

  7188. h: 0,
    7189. 

  7189. d: 0,
    7190. 

  7190. rw: 0,
    7191. 

  7191. lw: 0
    7192. 

  7192. }), t.length !== 1 && delete e.bbox.skew, n.AccentBug && e.bbox.w === 0 && t.length === 1 && e.firstChild && (e.firstChild.nodeValue += n.NBSP, n.createSpace(e, 0, 0, -e.offsetWidth / n.em));
    7193. 

  7193. if (s.largeop) {
    7194. 

  7194. var v = (e.bbox.h - e.bbox.d) / 2 - n.TeX.axis_height * e.scale;
    7195. 

  7195. n.safariVerticalAlignBug && e.lastChild.nodeName === "IMG" ? e.lastChild.style.verticalAlign = n.Em(n.unEm(e.lastChild.style.verticalAlign || 0) / n.em - v / e.scale) : n.konquerorVerticalAlignBug && e.lastChild.nodeName === "IMG" ? (e.style.position = "relative", e.lastChild.style.position = "relative", e.lastChild.style.top = n.Em(v / e.scale)) : e.style.verticalAlign = n.Em(-v / e.scale), e.bbox.h -= v, e.bbox.d += v, e.bbox.rw > e.bbox.w && (e.bbox.ic = e.bbox.rw - e.bbox.w, n.createBlank(e, e.bbox.ic), e.bbox.w = e.bbox.rw);
    7196. 

  7196. }
    7197. 

  7197. return this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7198. 

  7198. },
    7199. 

  7199. CoreParent: function() {
    7200. 

  7200. var e = this;
    7201. 

  7201. while (e && e.isEmbellished() && e.CoreMO() === this && !e.isa(r.math)) e = e.Parent();
    7202. 

  7202. return e;
    7203. 

  7203. },
    7204. 

  7204. CoreText: function(e) {
    7205. 

  7205. if (!e) return "";
    7206. 

  7206. if (e.isEmbellished()) return e.CoreMO().data.join("");
    7207. 

  7207. while ((e.isa(r.mrow) || e.isa(r.TeXAtom)) && e.data.length === 1 && e.data[0]) e = e.data[0];
    7208. 

  7208. return e.isToken ? e.data.join("") : "";
    7209. 

  7209. },
    7210. 

  7210. HTMLremapChars: {
    7211. 

  7211. "*": "\u2217",
    7212. 

  7212. '"': "\u2033",
    7213. 

  7213. "\u00b0": "\u2218",
    7214. 

  7214. "\u00b2": "2",
    7215. 

  7215. "\u00b3": "3",
    7216. 

  7216. "\u00b4": "\u2032",
    7217. 

  7217. "\u00b9": "1"
    7218. 

  7218. },
    7219. 

  7219. HTMLremap: function(e, t) {
    7220. 

  7220. return e = e.replace(/-/g, "\u2212"), t && (e = e.replace(/'/g, "\u2032").replace(/`/g, "\u2035"), e.length === 1 && (e = t[e] || e)), e;
    7221. 

  7221. },
    7222. 

  7222. HTMLcanStretch: function(e) {
    7223. 

  7223. if (!this.Get("stretchy")) return !1;
    7224. 

  7224. var t = this.data.join("");
    7225. 

  7225. if (t.length > 1) return !1;
    7226. 

  7226. var i = this.CoreParent();
    7227. 

  7227. if (i && i.isa(r.munderover) && this.CoreText(i.data[i.base]).length === 1) {
    7228. 

  7228. var s = i.data[i.over], o = i.data[i.under];
    7229. 

  7229. s && this === s.CoreMO() && i.Get("accent") ? t = n.FONTDATA.REMAPACCENT[t] || t : o && this === o.CoreMO() && i.Get("accentunder") && (t = n.FONTDATA.REMAPACCENTUNDER[t] || t);
    7230. 

  7230. }
    7231. 

  7231. return t = n.FONTDATA.DELIMITERS[t.charCodeAt(0)], t && t.dir == e.substr(0, 1);
    7232. 

  7232. },
    7233. 

  7233. HTMLstretchV: function(e, t, r) {
    7234. 

  7234. this.HTMLremoveColor();
    7235. 

  7235. var i = this.getValues("symmetric", "maxsize", "minsize"), s = this.HTMLspanElement(), o = this.HTMLgetMu(s), u, a = n.TeX.axis_height, f = s.scale;
    7236. 

  7236. return i.symmetric ? u = 2 * Math.max(t - a, r + a) : u = t + r, i.maxsize = n.length2em(i.maxsize, o, s.bbox.h + s.bbox.d), i.minsize = n.length2em(i.minsize, o, s.bbox.h + s.bbox.d), u = Math.max(i.minsize, Math.min(i.maxsize, u)), s = this.HTMLcreateSpan(e), n.createDelimiter(s, this.data.join("").charCodeAt(0), u, f), i.symmetric ? u = (s.bbox.h + s.bbox.d) / 2 + a : u = (s.bbox.h + s.bbox.d) * t / (t + r), n.positionDelimiter(s, u), this.HTMLhandleSpace(s), this.HTMLhandleColor(s), s;
    7237. 

  7237. },
    7238. 

  7238. HTMLstretchH: function(e, t) {
    7239. 

  7239. this.HTMLremoveColor();
    7240. 

  7240. var i = this.getValues("maxsize", "minsize", "mathvariant", "fontweight");
    7241. 

  7241. (i.fontweight === "bold" || parseInt(i.fontweight) >= 600) && !this.Get("mathvariant", !0) && (i.mathvariant = r.VARIANT.BOLD);
    7242. 

  7242. var s = this.HTMLspanElement(), o = this.HTMLgetMu(s), u = s.scale;
    7243. 

  7243. return i.maxsize = n.length2em(i.maxsize, o, s.bbox.w), i.minsize = n.length2em(i.minsize, o, s.bbox.w), t = Math.max(i.minsize, Math.min(i.maxsize, t)), s = this.HTMLcreateSpan(e), n.createDelimiter(s, this.data.join("").charCodeAt(0), t, u, i.mathvariant), this.HTMLhandleSpace(s), this.HTMLhandleColor(s), s;
    7244. 

  7244. }
    7245. 

  7245. }), r.mtext.Augment({
    7246. 

  7246. toHTML: function(e) {
    7247. 

  7247. e = this.HTMLhandleSize(this.HTMLcreateSpan(e));
    7248. 

  7248. var t = this.HTMLgetVariant();
    7249. 

  7249. if (n.config.mtextFontInherit || this.Parent().type === "merror") t = {
    7250. 

  7250. bold: t.bold,
    7251. 

  7251. italic: t.italic,
    7252. 

  7252. fontInherit: !0
    7253. 

  7253. };
    7254. 

  7254. for (var r = 0, i = this.data.length; r < i; r++) this.data[r] && this.data[r].toHTML(e, t);
    7255. 

  7255. return e.bbox || (e.bbox = {
    7256. 

  7256. w: 0,
    7257. 

  7257. h: 0,
    7258. 

  7258. d: 0,
    7259. 

  7259. rw: 0,
    7260. 

  7260. lw: 0
    7261. 

  7261. }), this.data.join("").length !== 1 && delete e.bbox.skew, this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7262. 

  7262. }
    7263. 

  7263. }), r.merror.Augment({
    7264. 

  7264. toHTML: function(e) {
    7265. 

  7265. var t = MathJax.HTML.addElement(e, "span", {
    7266. 

  7266. style: {
    7267. 

  7267. display: "inline-block"
    7268. 

  7268. }
    7269. 

  7269. });
    7270. 

  7270. e = this.SUPER(arguments).toHTML.call(this, t);
    7271. 

  7271. var r = n.getHD(t), i = n.getW(t);
    7272. 

  7272. return t.bbox = {
    7273. 

  7273. h: r.h,
    7274. 

  7274. d: r.d,
    7275. 

  7275. w: i,
    7276. 

  7276. lw: 0,
    7277. 

  7277. rw: i,
    7278. 

  7278. exactW: !0
    7279. 

  7279. }, t.id = e.id, e.id = null, t;
    7280. 

  7280. }
    7281. 

  7281. }), r.ms.Augment({
    7282. 

  7282. toHTML: r.mbase.HTMLautoload
    7283. 

  7283. }), r.mglyph.Augment({
    7284. 

  7284. toHTML: r.mbase.HTMLautoload
    7285. 

  7285. }), r.mspace.Augment({
    7286. 

  7286. toHTML: function(e) {
    7287. 

  7287. e = this.HTMLcreateSpan(e);
    7288. 

  7288. var t = this.getValues("height", "depth", "width"), r = this.HTMLgetMu(e);
    7289. 

  7289. t.mathbackground = this.mathbackground, this.background && !this.mathbackground && (t.mathbackground = this.background);
    7290. 

  7290. var i = n.length2em(t.height, r), s = n.length2em(t.depth, r), o = n.length2em(t.width, r);
    7291. 

  7291. return n.createSpace(e, i, s, o, t.mathbackground, !0), e;
    7292. 

  7292. }
    7293. 

  7293. }), r.mphantom.Augment({
    7294. 

  7294. toHTML: function(e, t, r) {
    7295. 

  7295. e = this.HTMLcreateSpan(e);
    7296. 

  7296. if (this.data[0] != null) {
    7297. 

  7297. var i = this.data[0].toHTML(e);
    7298. 

  7298. r != null ? n.Remeasured(this.data[0].HTMLstretchV(e, t, r), e) : t != null ? n.Remeasured(this.data[0].HTMLstretchH(e, t), e) : i = n.Measured(i, e), e.bbox = {
    7299. 

  7299. w: i.bbox.w,
    7300. 

  7300. h: i.bbox.h,
    7301. 

  7301. d: i.bbox.d,
    7302. 

  7302. lw: 0,
    7303. 

  7303. rw: 0,
    7304. 

  7304. exactW: !0
    7305. 

  7305. };
    7306. 

  7306. for (var s = 0, o = e.childNodes.length; s < o; s++) e.childNodes[s].style.visibility = "hidden";
    7307. 

  7307. }
    7308. 

  7308. return this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7309. 

  7309. },
    7310. 

  7310. HTMLstretchH: r.mbase.HTMLstretchH,
    7311. 

  7311. HTMLstretchV: r.mbase.HTMLstretchV
    7312. 

  7312. }), r.mpadded.Augment({
    7313. 

  7313. toHTML: function(e, t, r) {
    7314. 

  7314. e = this.HTMLcreateSpan(e);
    7315. 

  7315. if (this.data[0] != null) {
    7316. 

  7316. var i = n.createStack(e, !0), s = n.createBox(i), o = this.data[0].toHTML(s);
    7317. 

  7317. r != null ? n.Remeasured(this.data[0].HTMLstretchV(s, t, r), s) : t != null ? n.Remeasured(this.data[0].HTMLstretchH(s, t), s) : n.Measured(o, s);
    7318. 

  7318. var u = this.getValues("height", "depth", "width", "lspace", "voffset"), a = 0, f = 0, l = this.HTMLgetMu(e);
    7319. 

  7319. u.lspace && (a = this.HTMLlength2em(s, u.lspace, l)), u.voffset && (f = this.HTMLlength2em(s, u.voffset, l)), n.placeBox(s, a, f), e.bbox = {
    7320. 

  7320. h: s.bbox.h,
    7321. 

  7321. d: s.bbox.d,
    7322. 

  7322. w: s.bbox.w,
    7323. 

  7323. exactW: !0,
    7324. 

  7324. lw: Math.min(0, s.bbox.lw + a),
    7325. 

  7325. rw: Math.max(s.bbox.w, s.bbox.rw + a),
    7326. 

  7326. H: Math.max(s.bbox.H == null ? -n.BIGDIMEN : s.bbox.H, s.bbox.h + f),
    7327. 

  7327. D: Math.max(s.bbox.D == null ? -n.BIGDIMEN : s.bbox.D, s.bbox.d - f)
    7328. 

  7328. }, u.height !== "" && (e.bbox.h = this.HTMLlength2em(s, u.height, l, "h", 0)), u.depth !== "" && (e.bbox.d = this.HTMLlength2em(s, u.depth, l, "d", 0)), u.width !== "" && (e.bbox.w = this.HTMLlength2em(s, u.width, l, "w", 0)), e.bbox.H <= e.bbox.h && delete e.bbox.H, e.bbox.D <= e.bbox.d && delete e.bbox.D;
    7329. 

  7329. var c = /^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;
    7330. 

  7330. e.bbox.exact = !!(this.data[0] && this.data[0].data.length == 0 || c.exec(u.height) || c.exec(u.width) || c.exec(u.depth)), n.setStackWidth(i, e.bbox.w);
    7331. 

  7331. }
    7332. 

  7332. return this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7333. 

  7333. },
    7334. 

  7334. HTMLlength2em: function(e, t, r, i, s) {
    7335. 

  7335. s == null && (s = -n.BIGDIMEN);
    7336. 

  7336. var o = String(t).match(/width|height|depth/), u = o ? e.bbox[o[0].charAt(0)] : i ? e.bbox[i] : 0, a = n.length2em(t, r, u);
    7337. 

  7337. return i && String(t).match(/^\s*[-+]/) ? Math.max(s, e.bbox[i] + a) : a;
    7338. 

  7338. },
    7339. 

  7339. HTMLstretchH: r.mbase.HTMLstretchH,
    7340. 

  7340. HTMLstretchV: r.mbase.HTMLstretchV
    7341. 

  7341. }), r.mrow.Augment({
    7342. 

  7342. HTMLlineBreaks: function(e) {
    7343. 

  7343. return this.parent.linebreakContainer ? n.config.linebreaks.automatic && e.bbox.w > n.linebreakWidth || this.hasNewline() : !1;
    7344. 

  7344. },
    7345. 

  7345. HTMLstretchH: function(e, t) {
    7346. 

  7346. this.HTMLremoveColor();
    7347. 

  7347. var n = this.HTMLspanElement();
    7348. 

  7348. return this.data[this.core].HTMLstretchH(n, t), this.HTMLcomputeBBox(n, !0), this.HTMLhandleColor(n), n;
    7349. 

  7349. },
    7350. 

  7350. HTMLstretchV: function(e, t, n) {
    7351. 

  7351. this.HTMLremoveColor();
    7352. 

  7352. var r = this.HTMLspanElement();
    7353. 

  7353. return this.data[this.core].HTMLstretchV(r, t, n), this.HTMLcomputeBBox(r, !0), this.HTMLhandleColor(r), r;
    7354. 

  7354. }
    7355. 

  7355. }), r.mstyle.Augment({
    7356. 

  7356. toHTML: function(e, t, n) {
    7357. 

  7357. e = this.HTMLcreateSpan(e);
    7358. 

  7358. if (this.data[0] != null) {
    7359. 

  7359. var r = this.data[0].toHTML(e);
    7360. 

  7360. n != null ? this.data[0].HTMLstretchV(e, t, n) : t != null && this.data[0].HTMLstretchH(e, t), e.bbox = r.bbox;
    7361. 

  7361. }
    7362. 

  7362. return this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7363. 

  7363. },
    7364. 

  7364. HTMLstretchH: r.mbase.HTMLstretchH,
    7365. 

  7365. HTMLstretchV: r.mbase.HTMLstretchV
    7366. 

  7366. }), r.mfrac.Augment({
    7367. 

  7367. toHTML: function(e) {
    7368. 

  7368. e = this.HTMLcreateSpan(e);
    7369. 

  7369. var t = n.createStack(e), r = n.createBox(t), i = n.createBox(t);
    7370. 

  7370. n.MeasureSpans([ this.HTMLboxChild(0, r), this.HTMLboxChild(1, i) ]);
    7371. 

  7371. var s = this.getValues("displaystyle", "linethickness", "numalign", "denomalign", "bevelled"), o = this.HTMLgetScale(), u = s.displaystyle, a = n.TeX.axis_height * o;
    7372. 

  7372. if (s.bevelled) {
    7373. 

  7373. var f = u ? .4 : .15, l = Math.max(r.bbox.h + r.bbox.d, i.bbox.h + i.bbox.d) + 2 * f, c = n.createBox(t);
    7374. 

  7374. n.createDelimiter(c, 47, l), n.placeBox(r, 0, (r.bbox.d - r.bbox.h) / 2 + a + f), n.placeBox(c, r.bbox.w - f / 2, (c.bbox.d - c.bbox.h) / 2 + a), n.placeBox(i, r.bbox.w + c.bbox.w - f, (i.bbox.d - i.bbox.h) / 2 + a - f);
    7375. 

  7375. } else {
    7376. 

  7376. var h = Math.max(r.bbox.w, i.bbox.w), p = n.thickness2em(s.linethickness, o), v, m, g, y, b = n.TeX.min_rule_thickness / this.em;
    7377. 

  7377. u ? (g = n.TeX.num1, y = n.TeX.denom1) : (g = p === 0 ? n.TeX.num3 : n.TeX.num2, y = n.TeX.denom2), g *= o, y *= o;
    7378. 

  7378. if (p === 0) v = Math.max((u ? 7 : 3) * n.TeX.rule_thickness, 2 * b), m = g - r.bbox.d - (i.bbox.h - y), m < v && (g += (v - m) / 2, y += (v - m) / 2); else {
    7379. 

  7379. v = Math.max((u ? 2 : 0) * b + p, p / 2 + 1.5 * b), m = g - r.bbox.d - (a + p / 2), m < v && (g += v - m), m = a - p / 2 - (i.bbox.h - y), m < v && (y += v - m);
    7380. 

  7380. var w = n.createBox(t);
    7381. 

  7381. n.createRule(w, p, 0, h + 2 * p), n.placeBox(w, 0, a - p / 2);
    7382. 

  7382. }
    7383. 

  7383. n.alignBox(r, s.numalign, g), n.alignBox(i, s.denomalign, -y);
    7384. 

  7384. }
    7385. 

  7385. return this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7386. 

  7386. },
    7387. 

  7387. HTMLcanStretch: function(e) {
    7388. 

  7388. return !1;
    7389. 

  7389. },
    7390. 

  7390. HTMLhandleSpace: function(e) {
    7391. 

  7391. if (!this.texWithDelims) {
    7392. 

  7392. var t = (this.useMMLspacing ? 0 : n.length2em(this.texSpacing() || 0)) + .12;
    7393. 

  7393. e.style.paddingLeft = n.Em(t), e.style.paddingRight = n.Em(.12);
    7394. 

  7394. }
    7395. 

  7395. }
    7396. 

  7396. }), r.msqrt.Augment({
    7397. 

  7397. toHTML: function(e) {
    7398. 

  7398. e = this.HTMLcreateSpan(e);
    7399. 

  7399. var t = n.createStack(e), r = n.createBox(t), i = n.createBox(t), s = n.createBox(t), o = this.HTMLgetScale(), u = n.TeX.rule_thickness * o, a, f, l, c;
    7400. 

  7400. this.Get("displaystyle") ? a = n.TeX.x_height * o : a = u, f = Math.max(u + a / 4, 1.5 * n.TeX.min_rule_thickness / this.em);
    7401. 

  7401. var h = this.HTMLboxChild(0, r);
    7402. 

  7402. l = h.bbox.h + h.bbox.d + f + u, n.createDelimiter(s, 8730, l, o), n.MeasureSpans([ h, s ]), c = h.bbox.w;
    7403. 

  7403. var p = 0;
    7404. 

  7404. if (s.isMultiChar || n.AdjustSurd && n.imgFonts) s.bbox.w *= .95;
    7405. 

  7405. s.bbox.h + s.bbox.d > l && (f = (s.bbox.h + s.bbox.d - (l - u)) / 2);
    7406. 

  7406. var v = n.FONTDATA.DELIMITERS[n.FONTDATA.RULECHAR];
    7407. 

  7407. return !v || c < v.HW[0][0] * o || o < .75 ? n.createRule(i, 0, u, c) : n.createDelimiter(i, n.FONTDATA.RULECHAR, c, o), l = h.bbox.h + f + u, f = l * n.rfuzz, s.isMultiChar && (f = n.rfuzz), p = this.HTMLaddRoot(t, s, p, s.bbox.h + s.bbox.d - l, o), n.placeBox(s, p, l - s.bbox.h), n.placeBox(i, p + s.bbox.w, l - i.bbox.h + f), n.placeBox(r, p + s.bbox.w, 0), this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7408. 

  7408. },
    7409. 

  7409. HTMLaddRoot: function(e, t, n, r, i) {
    7410. 

  7410. return n;
    7411. 

  7411. }
    7412. 

  7412. }), r.mroot.Augment({
    7413. 

  7413. toHTML: r.msqrt.prototype.toHTML,
    7414. 

  7414. HTMLaddRoot: function(e, t, r, i, s) {
    7415. 

  7415. var o = n.createBox(e);
    7416. 

  7416. if (this.data[1]) {
    7417. 

  7417. var u = this.data[1].toHTML(o);
    7418. 

  7418. u.style.paddingRight = u.style.paddingLeft = "", n.Measured(u, o);
    7419. 

  7419. } else o.bbox = this.HTMLzeroBBox();
    7420. 

  7420. var a = this.HTMLrootHeight(t.bbox.h + t.bbox.d, s, o) - i, f = Math.min(o.bbox.w, o.bbox.rw);
    7421. 

  7421. return r = Math.max(f, t.offset), n.placeBox(o, r - f, a), r - t.offset;
    7422. 

  7422. },
    7423. 

  7423. HTMLrootHeight: function(e, t, n) {
    7424. 

  7424. return .45 * (e - .9 * t) + .6 * t + Math.max(0, n.bbox.d - .075);
    7425. 

  7425. }
    7426. 

  7426. }), r.mfenced.Augment({
    7427. 

  7427. toHTML: function(e) {
    7428. 

  7428. e = this.HTMLcreateSpan(e), this.data.open && this.data.open.toHTML(e), this.data[0] != null && this.data[0].toHTML(e);
    7429. 

  7429. for (var t = 1, n = this.data.length; t < n; t++) this.data[t] && (this.data["sep" + t] && this.data["sep" + t].toHTML(e), this.data[t].toHTML(e));
    7430. 

  7430. this.data.close && this.data.close.toHTML(e);
    7431. 

  7431. var r = this.HTMLcomputeBBox(e), i = e.bbox.h, s = e.bbox.d;
    7432. 

  7432. for (t = 0, n = r.length; t < n; t++) r[t].HTMLstretchV(e, i, s);
    7433. 

  7433. return r.length && this.HTMLcomputeBBox(e, !0), this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7434. 

  7434. },
    7435. 

  7435. HTMLcomputeBBox: function(e, t) {
    7436. 

  7436. var n = e.bbox = {}, r = [];
    7437. 

  7437. this.HTMLcheckStretchy(this.data.open, n, r, t), this.HTMLcheckStretchy(this.data[0], n, r, t);
    7438. 

  7438. for (var i = 1, s = this.data.length; i < s; i++) this.data[i] && (this.HTMLcheckStretchy(this.data["sep" + i], n, r, t), this.HTMLcheckStretchy(this.data[i], n, r, t));
    7439. 

  7439. return this.HTMLcheckStretchy(this.data.close, n, r, t), this.HTMLcleanBBox(n), r;
    7440. 

  7440. },
    7441. 

  7441. HTMLcheckStretchy: function(e, t, n, r) {
    7442. 

  7442. e && (!r && e.HTMLcanStretch("Vertical") && (n.push(e), e = e.CoreMO() || e), this.HTMLcombineBBoxes(e, t));
    7443. 

  7443. }
    7444. 

  7444. }), r.menclose.Augment({
    7445. 

  7445. toHTML: r.mbase.HTMLautoload
    7446. 

  7446. }), r.maction.Augment({
    7447. 

  7447. toHTML: r.mbase.HTMLautoload
    7448. 

  7448. }), r.semantics.Augment({
    7449. 

  7449. toHTML: function(e, t, n) {
    7450. 

  7450. e = this.HTMLcreateSpan(e);
    7451. 

  7451. if (this.data[0] != null) {
    7452. 

  7452. var r = this.data[0].toHTML(e);
    7453. 

  7453. n != null ? this.data[0].HTMLstretchV(e, t, n) : t != null && this.data[0].HTMLstretchH(e, t), e.bbox = r.bbox;
    7454. 

  7454. }
    7455. 

  7455. return this.HTMLhandleSpace(e), e;
    7456. 

  7456. },
    7457. 

  7457. HTMLstretchH: r.mbase.HTMLstretchH,
    7458. 

  7458. HTMLstretchV: r.mbase.HTMLstretchV
    7459. 

  7459. }), r.munderover.Augment({
    7460. 

  7460. toHTML: function(e, t, i) {
    7461. 

  7461. var s = this.getValues("displaystyle", "accent", "accentunder", "align");
    7462. 

  7462. if (!s.displaystyle && this.data[this.base] != null && this.data[this.base].CoreMO().Get("movablelimits")) return r.msubsup.prototype.toHTML.call(this, e);
    7463. 

  7463. e = this.HTMLcreateSpan(e);
    7464. 

  7464. var o = this.HTMLgetScale(), u = n.createStack(e), a = [], l = [], c = [], h, p, v;
    7465. 

  7465. for (p = 0, v = this.data.length; p < v; p++) this.data[p] != null && (h = a[p] = n.createBox(u), l[p] = this.data[p].toHTML(h), p == this.base ? (i != null ? this.data[this.base].HTMLstretchV(h, t, i) : t != null && this.data[this.base].HTMLstretchH(h, t), c[p] = i == null && t != null ? !1 : this.data[p].HTMLcanStretch("Horizontal")) : c[p] = this.data[p].HTMLcanStretch("Horizontal"));
    7466. 

  7466. n.MeasureSpans(l);
    7467. 

  7467. var m = -n.BIGDIMEN, g = m;
    7468. 

  7468. for (p = 0, v = this.data.length; p < v; p++) this.data[p] && (a[p].bbox.w > g && (g = a[p].bbox.w), !c[p] && g > m && (m = g));
    7469. 

  7469. i == null && t != null ? m = t : m == -n.BIGDIMEN && (m = g);
    7470. 

  7470. for (p = g = 0, v = this.data.length; p < v; p++) this.data[p] && (h = a[p], c[p] && (h.bbox = this.data[p].HTMLstretchH(h, m).bbox), h.bbox.w > g && (g = h.bbox.w));
    7471. 

  7471. var y = n.TeX.rule_thickness, b = n.FONTDATA.TeX_factor, w = a[this.base] || {
    7472. 

  7472. bbox: this.HTMLzeroBBox()
    7473. 

  7473. }, E, S, x, T, N, C, k, L = 0;
    7474. 

  7474. w.bbox.ic && (L = 1.3 * w.bbox.ic + .05);
    7475. 

  7475. for (p = 0, v = this.data.length; p < v; p++) if (this.data[p] != null) {
    7476. 

  7476. h = a[p], N = n.TeX.big_op_spacing5 * o;
    7477. 

  7477. var A = p != this.base && s[this.ACCENTS[p]];
    7478. 

  7478. A && h.bbox.w <= 1 / n.em + 1e-4 && (h.bbox.w = h.bbox.rw - h.bbox.lw, h.bbox.noclip = !0, h.bbox.lw && h.insertBefore(n.createSpace(h.parentNode, 0, 0, -h.bbox.lw), h.firstChild), n.createBlank(h, 0, 0, h.bbox.rw + .1)), C = {
    7479. 

  7479. left: 0,
    7480. 

  7480. center: (g - h.bbox.w) / 2,
    7481. 

  7481. right: g - h.bbox.w
    7482. 

  7482. }[s.align], E = C, S = 0, p == this.over ? (A ? (k = Math.max(y * o * b, 2.5 / this.em), N = 0, w.bbox.skew && (E += w.bbox.skew)) : (x = n.TeX.big_op_spacing1 * o * b, T = n.TeX.big_op_spacing3 * o * b, k = Math.max(x, T - Math.max(0, h.bbox.d))), k = Math.max(k, 1.5 / this.em), E += L / 2, S = w.bbox.h + h.bbox.d + k, h.bbox.h += N) : p == this.under && (A ? (k = 3 * y * o * b, N = 0) : (x = n.TeX.big_op_spacing2 * o * b, T = n.TeX.big_op_spacing4 * o * b, k = Math.max(x, T - h.bbox.h)), k = Math.max(k, 1.5 / this.em), E -= L / 2, S = -(w.bbox.d + h.bbox.h + k), h.bbox.d += N), n.placeBox(h, E, S);
    7483. 

  7483. }
    7484. 

  7484. return this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7485. 

  7485. },
    7486. 

  7486. HTMLstretchH: r.mbase.HTMLstretchH,
    7487. 

  7487. HTMLstretchV: r.mbase.HTMLstretchV
    7488. 

  7488. }), r.msubsup.Augment({
    7489. 

  7489. toHTML: function(e, t, r) {
    7490. 

  7490. e = this.HTMLcreateSpan(e);
    7491. 

  7491. var i = this.HTMLgetScale(), s = this.HTMLgetMu(e), o = n.createStack(e), u, a = [], f = n.createBox(o);
    7492. 

  7492. this.data[this.base] ? (a.push(this.data[this.base].toHTML(f)), r != null ? this.data[this.base].HTMLstretchV(f, t, r) : t != null && this.data[this.base].HTMLstretchH(f, t)) : f.bbox = this.HTMLzeroBBox();
    7493. 

  7493. var l = n.TeX.x_height * i, c = n.TeX.scriptspace * i * .75, h, p;
    7494. 

  7494. this.HTMLnotEmpty(this.data[this.sup]) && (h = n.createBox(o), a.push(this.data[this.sup].toHTML(h))), this.HTMLnotEmpty(this.data[this.sub]) && (p = n.createBox(o), a.push(this.data[this.sub].toHTML(p))), n.MeasureSpans(a), h && (h.bbox.w += c, h.bbox.rw = Math.max(h.bbox.w, h.bbox.rw)), p && (p.bbox.w += c, p.bbox.rw = Math.max(p.bbox.w, p.bbox.rw)), n.placeBox(f, 0, 0);
    7495. 

  7495. var v = (this.data[this.sup] || this.data[this.sub] || this).HTMLgetScale(), m = n.TeX.sup_drop * v, g = n.TeX.sub_drop * v, y = f.bbox.h - m, b = f.bbox.d + g, w = 0, E;
    7496. 

  7496. f.bbox.ic && (f.bbox.w -= f.bbox.ic, w = 1.3 * f.bbox.ic + .05), this.data[this.base] && (this.data[this.base].type === "mi" || this.data[this.base].type === "mo") && this.data[this.base].data.join("").length === 1 && f.bbox.scale === 1 && !this.data[this.base].Get("largeop") && (y = b = 0);
    7497. 

  7497. var S = this.getValues("subscriptshift", "superscriptshift");
    7498. 

  7498. S.subscriptshift = S.subscriptshift === "" ? 0 : n.length2em(S.subscriptshift, s), S.superscriptshift = S.superscriptshift === "" ? 0 : n.length2em(S.superscriptshift, s);
    7499. 

  7499. if (!h) p && (b = Math.max(b, n.TeX.sub1 * i, p.bbox.h - .8 * l, S.subscriptshift), n.placeBox(p, f.bbox.w, -b, p.bbox)); else if (!p) u = this.getValues("displaystyle", "texprimestyle"), E = n.TeX[u.displaystyle ? "sup1" : u.texprimestyle ? "sup3" : "sup2"], y = Math.max(y, E * i, h.bbox.d + .25 * l, S.superscriptshift), n.placeBox(h, f.bbox.w + w, y, h.bbox); else {
    7500. 

  7500. b = Math.max(b, n.TeX.sub2 * i);
    7501. 

  7501. var x = n.TeX.rule_thickness * i;
    7502. 

  7502. y - h.bbox.d - (p.bbox.h - b) < 3 * x && (b = 3 * x - y + h.bbox.d + p.bbox.h, m = .8 * l - (y - h.bbox.d), m > 0 && (y += m, b -= m)), n.placeBox(h, f.bbox.w + w, Math.max(y, S.superscriptshift)), n.placeBox(p, f.bbox.w, -Math.max(b, S.subscriptshift));
    7503. 

  7503. }
    7504. 

  7504. return this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7505. 

  7505. },
    7506. 

  7506. HTMLstretchH: r.mbase.HTMLstretchH,
    7507. 

  7507. HTMLstretchV: r.mbase.HTMLstretchV
    7508. 

  7508. }), r.mmultiscripts.Augment({
    7509. 

  7509. toHTML: r.mbase.HTMLautoload
    7510. 

  7510. }), r.mtable.Augment({
    7511. 

  7511. toHTML: r.mbase.HTMLautoload
    7512. 

  7512. }), r["annotation-xml"].Augment({
    7513. 

  7513. toHTML: r.mbase.HTMLautoload
    7514. 

  7514. }), r.math.Augment({
    7515. 

  7515. toHTML: function(e, i) {
    7516. 

  7516. var s = this.Get("alttext");
    7517. 

  7517. s && s !== "" && i.setAttribute("aria-label", s);
    7518. 

  7518. var o = n.addElement(e, "nobr", {
    7519. 

  7519. isMathJax: !0
    7520. 

  7520. });
    7521. 

  7521. e = this.HTMLcreateSpan(o);
    7522. 

  7522. var u = n.createStack(e), a = n.createBox(u), l;
    7523. 

  7523. u.style.fontSize = o.parentNode.style.fontSize, o.parentNode.style.fontSize = "";
    7524. 

  7524. if (this.data[0] != null) {
    7525. 

  7525. n.msieColorBug && (this.background && (this.data[0].background = this.background, delete this.background), this.mathbackground && (this.data[0].mathbackground = this.mathbackground, delete this.mathbackground)), r.mbase.prototype.displayAlign = t.config.displayAlign, r.mbase.prototype.displayIndent = t.config.displayIndent;
    7526. 

  7526. var c = this.data[0].toHTML(a);
    7527. 

  7527. c.bbox.exactW = !1, l = n.Measured(c, a);
    7528. 

  7528. }
    7529. 

  7529. n.placeBox(a, 0, 0), u.style.width = Math.round(n.unEm(u.style.width) * this.em) + "px";
    7530. 

  7530. var h = 1 / n.em, p = n.em / n.outerEm;
    7531. 

  7531. n.em /= p, e.bbox.h *= p, e.bbox.d *= p, e.bbox.w *= p, e.bbox.lw *= p, e.bbox.rw *= p, l && l.bbox.width != null && (u.style.width = l.bbox.width, a.style.width = "100%"), this.HTMLhandleColor(e), l && n.createRule(e, (l.bbox.h + h) * p, (l.bbox.d + h) * p, 0);
    7532. 

  7532. if (!this.isMultiline && this.Get("display") === "block" && e.bbox.width == null) {
    7533. 

  7533. var v = this.getValues("indentalignfirst", "indentshiftfirst", "indentalign", "indentshift");
    7534. 

  7534. v.indentalignfirst !== r.INDENTALIGN.INDENTALIGN && (v.indentalign = v.indentalignfirst), v.indentalign === r.INDENTALIGN.AUTO && (v.indentalign = this.displayAlign), i.style.textAlign = v.indentalign, v.indentshiftfirst !== r.INDENTSHIFT.INDENTSHIFT && (v.indentshift = v.indentshiftfirst), v.indentshift === "auto" && (v.indentshift = this.displayIndent), v.indentshift && v.indentalign !== r.INDENTALIGN.CENTER && (e.style[{
    7535. 

  7535. left: "marginLeft",
    7536. 

  7536. right: "marginRight"
    7537. 

  7537. }[v.indentalign]] = n.Em(n.length2em(v.indentshift)));
    7538. 

  7538. }
    7539. 

  7539. return e;
    7540. 

  7540. },
    7541. 

  7541. HTMLspanElement: r.mbase.prototype.HTMLspanElement
    7542. 

  7542. }), r.TeXAtom.Augment({
    7543. 

  7543. toHTML: function(e) {
    7544. 

  7544. e = this.HTMLcreateSpan(e);
    7545. 

  7545. if (this.data[0] != null) if (this.texClass === r.TEXCLASS.VCENTER) {
    7546. 

  7546. var t = n.createStack(e), i = n.createBox(t);
    7547. 

  7547. n.Measured(this.data[0].toHTML(i), i), n.placeBox(i, 0, n.TeX.axis_height - (i.bbox.h + i.bbox.d) / 2 + i.bbox.d);
    7548. 

  7548. } else e.bbox = this.data[0].toHTML(e).bbox;
    7549. 

  7549. return this.HTMLhandleSpace(e), this.HTMLhandleColor(e), e;
    7550. 

  7550. }
    7551. 

  7551. }), MathJax.Hub.Register.StartupHook("onLoad", function() {
    7552. 

  7552. setTimeout(MathJax.Callback([ "loadComplete", n, "jax.js" ]), 0);
    7553. 

  7553. });
    7554. 

  7554. }), t.Register.StartupHook("End Config", function() {
    7555. 

  7555. t.Browser.Select({
    7556. 

  7556. MSIE: function(e) {
    7557. 

  7557. var t = document.documentMode || 0, r = e.versionAtLeast("7.0"), i = e.versionAtLeast("8.0") && t > 7, s = document.compatMode === "BackCompat";
    7558. 

  7558. t < 9 && (n.config.styles[".MathJax .MathJax_HitBox"]["background-color"] = "white", n.config.styles[".MathJax .MathJax_HitBox"].opacity = 0, n.config.styles[".MathJax .MathJax_HitBox"].filter = "alpha(opacity=0)"), n.Augment({
    7559. 

  7559. PaddingWidthBug: !0,
    7560. 

  7560. msieAccentBug: !0,
    7561. 

  7561. msieColorBug: !0,
    7562. 

  7562. msieColorPositionBug: !0,
    7563. 

  7563. msieRelativeWidthBug: s,
    7564. 

  7564. msieDisappearingBug: t >= 8,
    7565. 

  7565. msieMarginScaleBug: t < 8,
    7566. 

  7566. msiePaddingWidthBug: !0,
    7567. 

  7567. msieBorderWidthBug: s,
    7568. 

  7568. msieFrameSizeBug: t <= 8,
    7569. 

  7569. msieInlineBlockAlignBug: !i || s,
    7570. 

  7570. msiePlaceBoxBug: i && !s,
    7571. 

  7571. msieClipRectBug: !i,
    7572. 

  7572. msieNegativeSpaceBug: s,
    7573. 

  7573. cloneNodeBug: i && e.version === "8.0",
    7574. 

  7574. initialSkipBug: t < 8,
    7575. 

  7575. msieNegativeBBoxBug: t >= 8,
    7576. 

  7576. msieIE6: !r,
    7577. 

  7577. msieItalicWidthBug: !0,
    7578. 

  7578. FontFaceBug: !0,
    7579. 

  7579. msieFontCSSBug: e.isIE9,
    7580. 

  7580. allowWebFonts: t >= 9 ? "woff" : "eot"
    7581. 

  7581. });
    7582. 

  7582. },
    7583. 

  7583. Firefox: function(e) {
    7584. 

  7584. var r = !1;
    7585. 

  7585. if (e.versionAtLeast("3.5")) {
    7586. 

  7586. var i = String(document.location).replace(/[^\/]*$/, "");
    7587. 

  7587. if (document.location.protocol !== "file:" || t.config.root.match(/^https?:\/\//) || (t.config.root + "/").substr(0, i.length) === i) r = "otf";
    7588. 

  7588. }
    7589. 

  7589. n.Augment({
    7590. 

  7590. ffVerticalAlignBug: !0,
    7591. 

  7591. AccentBug: !0,
    7592. 

  7592. allowWebFonts: r
    7593. 

  7593. });
    7594. 

  7594. },
    7595. 

  7595. Safari: function(e) {
    7596. 

  7596. var r = e.versionAtLeast("3.0"), i = e.versionAtLeast("3.1"), s = navigator.appVersion.match(/ Safari\/\d/) && navigator.appVersion.match(/ Version\/\d/) && navigator.vendor.match(/Apple/), o = navigator.appVersion.match(/ Android (\d+)\.(\d+)/), u = i && e.isMobile && (navigator.platform.match(/iPad|iPod|iPhone/) && !e.versionAtLeast("5.0") || o != null && (o[1] < 2 || o[1] == 2 && o[2] < 2));
    7597. 

  7597. n.Augment({
    7598. 

  7598. config: {
    7599. 

  7599. styles: {
    7600. 

  7600. ".MathJax img, .MathJax nobr, .MathJax a": {
    7601. 

  7601. "max-width": "5000em",
    7602. 

  7602. "max-height": "5000em"
    7603. 

  7603. }
    7604. 

  7604. }
    7605. 

  7605. },
    7606. 

  7606. rfuzz: .011,
    7607. 

  7607. AccentBug: !0,
    7608. 

  7608. AdjustSurd: !0,
    7609. 

  7609. negativeBBoxes: !0,
    7610. 

  7610. safariNegativeSpaceBug: !0,
    7611. 

  7611. safariVerticalAlignBug: !i,
    7612. 

  7612. safariTextNodeBug: !r,
    7613. 

  7613. forceReflow: !0,
    7614. 

  7614. allowWebFonts: i && !u ? "otf" : !1
    7615. 

  7615. }), s && n.Augment({
    7616. 

  7616. webFontDefault: e.isMobile ? "sans-serif" : "serif"
    7617. 

  7617. }), e.isPC && n.Augment({
    7618. 

  7618. adjustAvailableFonts: n.removeSTIXfonts,
    7619. 

  7619. checkWebFontsTwice: !0
    7620. 

  7620. });
    7621. 

  7621. if (u) {
    7622. 

  7622. var a = t.config["HTML-CSS"];
    7623. 

  7623. a ? (a.availableFonts = [], a.preferredFont = null) : t.config["HTML-CSS"] = {
    7624. 

  7624. availableFonts: [],
    7625. 

  7625. preferredFont: null
    7626. 

  7626. };
    7627. 

  7627. }
    7628. 

  7628. },
    7629. 

  7629. Chrome: function(e) {
    7630. 

  7630. n.Augment({
    7631. 

  7631. Em: n.Px,
    7632. 

  7632. unEm: n.unPx,
    7633. 

  7633. chromeHeightBug: !0,
    7634. 

  7634. cloneNodeBug: !0,
    7635. 

  7635. rfuzz: .011,
    7636. 

  7636. AccentBug: !0,
    7637. 

  7637. AdjustSurd: !0,
    7638. 

  7638. negativeBBoxes: !0,
    7639. 

  7639. safariNegativeSpaceBug: !0,
    7640. 

  7640. safariWebFontSerif: [ "" ],
    7641. 

  7641. forceReflow: !0,
    7642. 

  7642. allowWebFonts: e.versionAtLeast("4.0") ? "otf" : "svg"
    7643. 

  7643. });
    7644. 

  7644. },
    7645. 

  7645. Opera: function(e) {
    7646. 

  7646. e.isMini = navigator.appVersion.match("Opera Mini") != null, n.config.styles[".MathJax .merror"]["vertical-align"] = null, n.config.styles[".MathJax span"]["z-index"] = 0, n.Augment({
    7647. 

  7647. operaHeightBug: !0,
    7648. 

  7648. operaVerticalAlignBug: !0,
    7649. 

  7649. operaFontSizeBug: e.versionAtLeast("10.61"),
    7650. 

  7650. initialSkipBug: !0,
    7651. 

  7651. FontFaceBug: !0,
    7652. 

  7652. PaddingWidthBug: !0,
    7653. 

  7653. allowWebFonts: e.versionAtLeast("10.0") && !e.isMini ? "otf" : !1,
    7654. 

  7654. adjustAvailableFonts: n.removeSTIXfonts
    7655. 

  7655. });
    7656. 

  7656. },
    7657. 

  7657. Konqueror: function(e) {
    7658. 

  7658. n.Augment({
    7659. 

  7659. konquerorVerticalAlignBug: !0
    7660. 

  7660. });
    7661. 

  7661. }
    7662. 

  7662. });
    7663. 

  7663. }), MathJax.Hub.Register.StartupHook("End Cookie", function() {
    7664. 

  7664. t.config.menuSettings.zoom !== "None" && e.Require("[MathJax]/extensions/MathZoom.js");
    7665. 

  7665. });
    7666. 

  7666. }(MathJax.Ajax, MathJax.Hub, MathJax.OutputJax["HTML-CSS"]), function(e) {
    7667. 

  7667. for (var t in e.loading) /KAthJax-[0-9a-f]{32}.js$/.test(t) && e.loadComplete(t);
    7668. 

  7668. }(MathJax.Ajax);
    7669.