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

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MathJax.Hub.Config({
messageStyle: "none",
skipStartupTypeset: !0,
jax: [ "input/TeX", "output/HTML-CSS" ],
extensions: [ "tex2jax.js", "MathZoom.js" ],
TeX: {
extensions: [ "AMSmath.js", "AMSsymbols.js", "noErrors.js", "noUndefined.js", "newcommand.js", "boldsymbol.js" ],
Macros: {
RR: "\\mathbb{R}",
blue: "\\color{#6495ED}",
orange: "\\color{#FFA500}",
pink: "\\color{#FF00AF}",
red: "\\color{#DF0030}",
green: "\\color{#28AE7B}",
gray: "\\color{gray}",
purple: "\\color{#9D38BD}"
},
Augment: {
Definitions: {
macros: {
lrsplit: "LRSplit",
cancel: "Cancel",
lcm: [ "NamedOp", 0 ]
}
},
Parse: {
prototype: {
LRSplit: function(e) {
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());
r.numalign = MathJax.ElementJax.mml.ALIGN.LEFT, r.denomalign = MathJax.ElementJax.mml.ALIGN.RIGHT, r.linethickness = "0em", this.Push(r);
},
Cancel: function(e) {
this.Push(MathJax.ElementJax.mml.menclose(this.ParseArg(e)).With({
notation: MathJax.ElementJax.mml.NOTATION.UPDIAGONALSTRIKE
}));
}
}
}
}
},
"HTML-CSS": {
scale: 100,
showMathMenu: !1,
availableFonts: [ "TeX" ],
imageFont: null
}
}), MathJax.Ajax.timeout = 6e4, MathJax.Ajax.loadError = function(e) {
return function(t) {
Khan.warnTimeout(), MathJax.Ajax.loadComplete = function(e) {}, e.call(this, t);
};
}(MathJax.Ajax.loadError), MathJax.Hub.Register.StartupHook("HTML-CSS Jax - disable web fonts", function() {
Khan.warnFont();
}), MathJax.Message.Init = function(e) {
return function(t) {
if (this.div && this.div.parentNode == null) {
var n = document.getElementById("MathJax_Message");
if (n && n.firstChild == null) {
var r = n.parentNode;
r && r.removeChild(n);
}
}
e.call(this, t);
};
}(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({
"v1.0-compatible": !1
}), function(e, t, n, r, i, s) {
var o = "2.1", u = MathJax.Extension, a = u.MathEvents = {
version: o
}, f = e.config.menuSettings, l = {
hover: 500,
frame: {
x: 3.5,
y: 5,
bwidth: 1,
bcolor: "#A6D",
hwidth: "15px",
hcolor: "#83A"
},
button: {
x: -4,
y: -3,
wx: -2,
src: n.fileURL(i.imageDir + "/MenuArrow-15.png")
},
fadeinInc: .2,
fadeoutInc: .05,
fadeDelay: 50,
fadeoutStart: 400,
fadeoutDelay: 15e3,
styles: {
".MathJax_Hover_Frame": {
"border-radius": ".25em",
"-webkit-border-radius": ".25em",
"-moz-border-radius": ".25em",
"-khtml-border-radius": ".25em",
"box-shadow": "0px 0px 15px #83A",
"-webkit-box-shadow": "0px 0px 15px #83A",
"-moz-box-shadow": "0px 0px 15px #83A",
"-khtml-box-shadow": "0px 0px 15px #83A",
border: "1px solid #A6D ! important",
display: "inline-block",
position: "absolute"
},
".MathJax_Hover_Arrow": {
position: "absolute",
width: "15px",
height: "11px",
cursor: "pointer"
}
}
}, c = a.Event = {
LEFTBUTTON: 0,
RIGHTBUTTON: 2,
MENUKEY: "altKey",
Mousedown: function(e) {
return c.Handler(e, "Mousedown", this);
},
Mouseup: function(e) {
return c.Handler(e, "Mouseup", this);
},
Mousemove: function(e) {
return c.Handler(e, "Mousemove", this);
},
Mouseover: function(e) {
return c.Handler(e, "Mouseover", this);
},
Mouseout: function(e) {
return c.Handler(e, "Mouseout", this);
},
Click: function(e) {
return c.Handler(e, "Click", this);
},
DblClick: function(e) {
return c.Handler(e, "DblClick", this);
},
Menu: function(e) {
return c.Handler(e, "ContextMenu", this);
},
Handler: function(e, t, r) {
if (n.loadingMathMenu) return c.False(e);
var s = i[r.jaxID];
e || (e = window.event), e.isContextMenu = t === "ContextMenu";
if (s[t]) return s[t](e, r);
if (u.MathZoom) return u.MathZoom.HandleEvent(e, t, r);
},
False: function(e) {
return e || (e = window.event), e && (e.preventDefault && e.preventDefault(), e.stopPropagation && e.stopPropagation(), e.cancelBubble = !0, e.returnValue = !1), !1;
},
ContextMenu: function(t, o, u) {
var l = i[o.jaxID], p = l.getJaxFromMath(o), d = (l.config.showMathMenu != null ? l : e).config.showMathMenu;
if (!d || f.context !== "MathJax" && !u) return;
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);
var v = MathJax.Menu;
if (v) {
v.jax = p;
var y = v.menu.Find("Show Math As").menu;
y.items[1].name = s[p.inputJax].sourceMenuTitle || "Original Form", y.items[0].hidden = p.inputJax === "Error";
var w = v.menu.Find("Math Settings", "MathPlayer");
return w.hidden = p.outputJax !== "NativeMML" || !e.Browser.hasMathPlayer, v.menu.Post(t);
}
if (!n.loadingMathMenu) {
n.loadingMathMenu = !0;
var E = {
pageX: t.pageX,
pageY: t.pageY,
clientX: t.clientX,
clientY: t.clientY
};
r.Queue(n.Require("[MathJax]/extensions/MathMenu.js"), function() {
delete n.loadingMathMenu, MathJax.Menu || (MathJax.Menu = {});
}, [ "ContextMenu", this, E, o, u ]);
}
return c.False(t);
},
AltContextMenu: function(t, n) {
var r = i[n.jaxID], s = (r.config.showMathMenu != null ? r : e).config.showMathMenu;
if (s) {
s = (r.config.showMathMenuMSIE != null ? r : e).config.showMathMenuMSIE;
if (f.context === "MathJax" && !f.mpContext && s) {
if (!a.noContextMenuBug || t.button !== c.RIGHTBUTTON) return;
} else if (!t[c.MENUKEY] || t.button !== c.LEFTBUTTON) return;
return r.ContextMenu(t, n, !0);
}
},
ClearSelection: function() {
a.safariContextMenuBug && setTimeout("window.getSelection().empty()", 0), document.selection && setTimeout("document.selection.empty()", 0);
},
getBBox: function(e) {
e.appendChild(a.topImg);
var t = a.topImg.offsetTop, n = e.offsetHeight - t, r = e.offsetWidth;
return e.removeChild(a.topImg), {
w: r,
h: t,
d: n
};
}
}, h = a.Hover = {
Mouseover: function(t, n) {
if (f.discoverable || f.zoom === "Hover") {
var r = t.fromElement || t.relatedTarget, i = t.toElement || t.target;
if (r && i && (r.isMathJax != i.isMathJax || e.getJaxFor(r) !== e.getJaxFor(i))) {
var s = this.getJaxFromMath(n);
return s.hover ? h.ReHover(s) : h.HoverTimer(s, n), c.False(t);
}
}
},
Mouseout: function(t, n) {
if (f.discoverable || f.zoom === "Hover") {
var r = t.fromElement || t.relatedTarget, i = t.toElement || t.target;
if (r && i && (r.isMathJax != i.isMathJax || e.getJaxFor(r) !== e.getJaxFor(i))) {
var s = this.getJaxFromMath(n);
return s.hover ? h.UnHover(s) : h.ClearHoverTimer(), c.False(t);
}
}
},
Mousemove: function(e, t) {
if (f.discoverable || f.zoom === "Hover") {
var n = this.getJaxFromMath(t);
if (n.hover) return;
if (h.lastX == e.clientX && h.lastY == e.clientY) return;
return h.lastX = e.clientX, h.lastY = e.clientY, h.HoverTimer(n, t), c.False(e);
}
},
HoverTimer: function(e, t) {
this.ClearHoverTimer(), this.hoverTimer = setTimeout(r([ "Hover", this, e, t ]), l.hover);
},
ClearHoverTimer: function() {
this.hoverTimer && (clearTimeout(this.hoverTimer), delete this.hoverTimer);
},
Hover: function(n, r) {
if (u.MathZoom && u.MathZoom.Hover({}, r)) return;
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;
a.msieBorderWidthBug && (d = 0), n.hover = {
opacity: 0,
id: n.inputID + "-Hover"
};
var v = t.Element("span", {
id: n.hover.id,
isMathJax: !0,
style: {
display: "inline-block",
width: 0,
height: 0,
position: "relative"
}
}, [ [ "span", {
className: "MathJax_Hover_Frame",
isMathJax: !0,
style: {
display: "inline-block",
position: "absolute",
top: this.Px(-f.h - p - d - (f.y || 0)),
left: this.Px(-h - d + (f.x || 0)),
width: this.Px(f.w + 2 * h),
height: this.Px(f.h + f.d + 2 * p),
opacity: 0,
filter: "alpha(opacity=0)"
}
} ] ]), m = t.Element("span", {
isMathJax: !0,
id: n.hover.id + "Menu",
style: {
display: "inline-block",
"z-index": 1,
width: 0,
height: 0,
position: "relative"
}
}, [ [ "img", {
className: "MathJax_Hover_Arrow",
isMathJax: !0,
math: r,
src: l.button.src,
onclick: this.HoverMenu,
jax: s.id,
style: {
left: this.Px(f.w + h + d + (f.x || 0) + l.button.x),
top: this.Px(-f.h - p - d - (f.y || 0) - l.button.y),
opacity: 0,
filter: "alpha(opacity=0)"
}
} ] ]);
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);
},
ReHover: function(e) {
e.hover.remove && clearTimeout(e.hover.remove), e.hover.remove = setTimeout(r([ "UnHover", this, e ]), l.fadeoutDelay), this.HoverFadeTimer(e, l.fadeinInc);
},
UnHover: function(e) {
e.hover.nofade || this.HoverFadeTimer(e, -l.fadeoutInc, l.fadeoutStart);
},
HoverFade: function(e) {
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;
var t = document.getElementById(e.hover.id), n = document.getElementById(e.hover.id + "Menu");
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);
if (e.hover.opacity === 1) return;
if (e.hover.opacity > 0) {
this.HoverFadeTimer(e, e.hover.inc);
return;
}
t.parentNode.removeChild(t), n && n.parentNode.removeChild(n), e.hover.remove && clearTimeout(e.hover.remove), delete e.hover;
},
HoverFadeTimer: function(e, t, n) {
e.hover.inc = t, e.hover.timer || (e.hover.timer = setTimeout(r([ "HoverFade", this, e ]), n || l.fadeDelay));
},
HoverMenu: function(e) {
return e || (e = window.event), i[this.jax].ContextMenu(e, this.math, !0);
},
ClearHover: function(e) {
e.hover.remove && clearTimeout(e.hover.remove), e.hover.timer && clearTimeout(e.hover.timer), h.ClearHoverTimer(), delete e.hover;
},
Px: function(e) {
return Math.abs(e) < .006 ? "0px" : e.toFixed(2).replace(/\.?0+$/, "") + "px";
},
getImages: function() {
var e = new Image;
e.src = l.button.src;
}
}, p = a.Touch = {
last: 0,
delay: 500,
start: function(e) {
var t = (new Date).getTime(), n = t - p.last < p.delay && p.up;
p.last = t, p.up = !1, n && (p.timeout = setTimeout(p.menu, p.delay, e, this), e.preventDefault());
},
end: function(e) {
var t = (new Date).getTime();
p.up = t - p.last < p.delay;
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);
},
menu: function(e, t) {
return delete p.timeout, p.last = 0, p.up = !1, c.Handler(e.touches[0] || e.touch, "ContextMenu", t);
}
};
if (e.Browser.isMobile) {
var d = l.styles[".MathJax_Hover_Arrow"];
d.width = "25px", d.height = "18px", l.button.x = -6;
}
e.Browser.Select({
MSIE: function(e) {
var t = document.documentMode || 0, n = e.versionAtLeast("8.0");
a.msieBorderWidthBug = document.compatMode === "BackCompat", a.msieEventBug = e.isIE9, a.msieAlignBug = !n || t < 8, t < 9 && (c.LEFTBUTTON = 1);
},
Safari: function(e) {
a.safariContextMenuBug = !0;
},
Opera: function(e) {
a.operaPositionBug = !0;
},
Konqueror: function(e) {
a.noContextMenuBug = !0;
}
}), a.topImg = a.msieAlignBug ? t.Element("img", {
style: {
width: 0,
height: 0,
position: "relative"
},
src: "about:blank"
}) : t.Element("span", {
style: {
width: 0,
height: 0,
display: "inline-block"
}
}), a.operaPositionBug && (a.topImg.style.border = "1px solid"), a.config = l = e.CombineConfig("MathEvents", l);
var v = function() {
var e = l.styles[".MathJax_Hover_Frame"];
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;
};
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" ]);
}(MathJax.Hub, MathJax.HTML, MathJax.Ajax, MathJax.Callback, MathJax.OutputJax, MathJax.InputJax), function(e, t, n, r, i) {
var s = "2.1", o = MathJax.Callback.Signal("menu");
MathJax.Extension.MathMenu = {
version: s,
signal: o
};
var u = e.Browser.isPC, a = e.Browser.isMSIE, f = (document.documentMode || 0) > 8, l = u ? null : "5px", c = e.CombineConfig("MathMenu", {
delay: 150,
helpURL: "http://www.mathjax.org/help-v2/user/",
closeImg: n.fileURL(i.imageDir + "/CloseX-31.png"),
showRenderer: !0,
showMathPlayer: !0,
showFontMenu: !1,
showContext: !1,
showDiscoverable: !1,
windowSettings: {
status: "no",
toolbar: "no",
locationbar: "no",
menubar: "no",
directories: "no",
personalbar: "no",
resizable: "yes",
scrollbars: "yes",
width: 400,
height: 300,
left: Math.round((screen.width - 400) / 2),
top: Math.round((screen.height - 300) / 3)
},
styles: {
"#MathJax_About": {
position: "fixed",
left: "50%",
width: "auto",
"text-align": "center",
border: "3px outset",
padding: "1em 2em",
"background-color": "#DDDDDD",
color: "black",
cursor: "default",
"font-family": "message-box",
"font-size": "120%",
"font-style": "normal",
"text-indent": 0,
"text-transform": "none",
"line-height": "normal",
"letter-spacing": "normal",
"word-spacing": "normal",
"word-wrap": "normal",
"white-space": "nowrap",
"float": "none",
"z-index": 201,
"border-radius": "15px",
"-webkit-border-radius": "15px",
"-moz-border-radius": "15px",
"-khtml-border-radius": "15px",
"box-shadow": "0px 10px 20px #808080",
"-webkit-box-shadow": "0px 10px 20px #808080",
"-moz-box-shadow": "0px 10px 20px #808080",
"-khtml-box-shadow": "0px 10px 20px #808080",
filter: "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"
},
".MathJax_Menu": {
position: "absolute",
"background-color": "white",
color: "black",
width: "auto",
padding: u ? "2px" : "5px 0px",
border: "1px solid #CCCCCC",
margin: 0,
cursor: "default",
font: "menu",
"text-align": "left",
"text-indent": 0,
"text-transform": "none",
"line-height": "normal",
"letter-spacing": "normal",
"word-spacing": "normal",
"word-wrap": "normal",
"white-space": "nowrap",
"float": "none",
"z-index": 201,
"border-radius": l,
"-webkit-border-radius": l,
"-moz-border-radius": l,
"-khtml-border-radius": l,
"box-shadow": "0px 10px 20px #808080",
"-webkit-box-shadow": "0px 10px 20px #808080",
"-moz-box-shadow": "0px 10px 20px #808080",
"-khtml-box-shadow": "0px 10px 20px #808080",
filter: "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"
},
".MathJax_MenuItem": {
padding: u ? "2px 2em" : "1px 2em",
background: "transparent"
},
".MathJax_MenuTitle": {
"background-color": "#CCCCCC",
margin: u ? "-1px -1px 1px -1px" : "-5px 0 0 0",
"text-align": "center",
"font-style": "italic",
"font-size": "80%",
color: "#444444",
padding: "2px 0",
overflow: "hidden"
},
".MathJax_MenuArrow": {
position: "absolute",
right: ".5em",
color: "#666666",
"font-family": a ? "'Arial unicode MS'" : null
},
".MathJax_MenuActive .MathJax_MenuArrow": {
color: "white"
},
".MathJax_MenuCheck": {
position: "absolute",
left: ".7em",
"font-family": a ? "'Arial unicode MS'" : null
},
".MathJax_MenuRadioCheck": {
position: "absolute",
left: u ? "1em" : ".7em"
},
".MathJax_MenuLabel": {
padding: u ? "2px 2em 4px 1.33em" : "1px 2em 3px 1.33em",
"font-style": "italic"
},
".MathJax_MenuRule": {
"border-top": u ? "1px solid #CCCCCC" : "1px solid #DDDDDD",
margin: u ? "4px 1px 0px" : "4px 3px"
},
".MathJax_MenuDisabled": {
color: "GrayText"
},
".MathJax_MenuActive": {
"background-color": u ? "Highlight" : "#606872",
color: u ? "HighlightText" : "white"
},
".MathJax_Menu_Close": {
position: "absolute",
width: "31px",
height: "31px",
top: "-15px",
left: "-15px"
}
}
}), h, p;
e.Register.StartupHook("MathEvents Ready", function() {
h = MathJax.Extension.MathEvents.Event.False, p = MathJax.Extension.MathEvents.Hover;
});
var d = MathJax.Menu = MathJax.Object.Subclass({
version: s,
items: [],
posted: !1,
title: null,
margin: 5,
Init: function(e) {
this.items = [].slice.call(arguments, 0);
},
With: function(t) {
return t && e.Insert(this, t), this;
},
Post: function(e, n) {
e || (e = window.event);
var r = this.title ? [ [ "div", {
className: "MathJax_MenuTitle"
}, [ this.title ] ] ] : null, i = document.getElementById("MathJax_MenuFrame");
i || (i = d.Background(this), delete v.lastItem, delete v.lastMenu, delete d.skipUp, o.Post([ "post", d.jax ]));
var s = t.addElement(i, "div", {
onmouseup: d.Mouseup,
ondblclick: h,
ondragstart: h,
onselectstart: h,
oncontextmenu: h,
menuItem: this,
className: "MathJax_Menu"
}, r);
for (var a = 0, f = this.items.length; a < f; a++) this.items[a].Create(s);
d.isMobile && t.addElement(s, "span", {
className: "MathJax_Menu_Close",
menu: n,
ontouchstart: d.Close,
ontouchend: h,
onmousedown: d.Close,
onmouseup: h
}, [ [ "img", {
src: c.closeImg,
style: {
width: "100%",
height: "100%"
}
} ] ]), this.posted = !0, s.style.width = s.offsetWidth + 2 + "px";
var l = e.pageX, p = e.pageY;
!l && !p && (l = e.clientX + document.body.scrollLeft + document.documentElement.scrollLeft, p = e.clientY + document.body.scrollTop + document.documentElement.scrollTop);
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 {
var y = "left", b = n.offsetWidth;
l = d.isMobile ? 30 : b - 2, p = 0;
while (n && n !== i) l += n.offsetLeft, p += n.offsetTop, n = n.parentNode;
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);
}
return s.style.left = l + "px", s.style.top = p + "px", document.selection && document.selection.empty && document.selection.empty(), h(e);
},
Remove: function(e, t) {
o.Post([ "unpost", d.jax ]);
var n = document.getElementById("MathJax_MenuFrame");
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);
},
Find: function(e) {
var t = [].slice.call(arguments, 1);
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];
return null;
},
IndexOf: function(e) {
for (var t = 0, n = this.items.length; t < n; t++) if (this.items[t].name === e) return t;
return null;
}
}, {
config: c,
div: null,
Close: function(e) {
return d.Event(e, this.menu || this.parentNode, this.menu ? "Touchend" : "Remove");
},
Remove: function(e) {
return d.Event(e, this, "Remove");
},
Mouseover: function(e) {
return d.Event(e, this, "Mouseover");
},
Mouseout: function(e) {
return d.Event(e, this, "Mouseout");
},
Mousedown: function(e) {
return d.Event(e, this, "Mousedown");
},
Mouseup: function(e) {
return d.Event(e, this, "Mouseup");
},
Touchstart: function(e) {
return d.Event(e, this, "Touchstart");
},
Touchend: function(e) {
return d.Event(e, this, "Touchend");
},
Event: function(e, t, n, r) {
if (d.skipMouseover && n === "Mouseover" && !r) return h(e);
if (d.skipUp) {
if (n.match(/Mouseup|Touchend/)) return delete d.skipUp, h(e);
(n === "Touchstart" || n === "Mousedown" && !d.skipMousedown) && delete d.skipUp;
}
e || (e = window.event);
var i = t.menuItem;
return i && i[n] ? i[n](e, t) : null;
},
BGSTYLE: {
position: "absolute",
left: 0,
top: 0,
"z-index": 200,
width: "100%",
height: "100%",
border: 0,
padding: 0,
margin: 0
},
Background: function(e) {
var n = t.addElement(document.body, "div", {
style: this.BGSTYLE,
id: "MathJax_MenuFrame"
}, [ [ "div", {
style: this.BGSTYLE,
menuItem: e,
onmousedown: this.Remove
} ] ]), r = n.firstChild;
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;
},
Resize: function() {
setTimeout(d.SetWH, 0);
},
SetWH: function() {
var e = document.getElementById("MathJax_MenuFrame");
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");
},
saveCookie: function() {
t.Cookie.Set("menu", this.cookie);
},
getCookie: function() {
this.cookie = t.Cookie.Get("menu");
},
getImages: function() {
if (d.isMobile) {
var e = new Image;
e.src = c.closeImg;
}
}
}), v = d.ITEM = MathJax.Object.Subclass({
name: "",
Create: function(e) {
if (!this.hidden) {
var n = {
onmouseover: d.Mouseover,
onmouseout: d.Mouseout,
onmouseup: d.Mouseup,
onmousedown: d.Mousedown,
ondragstart: h,
onselectstart: h,
onselectend: h,
ontouchstart: d.Touchstart,
ontouchend: d.Touchend,
className: "MathJax_MenuItem",
menuItem: this
};
this.disabled && (n.className += " MathJax_MenuDisabled"), t.addElement(e, "div", n, this.Label(n, e));
}
},
Mouseover: function(e, t) {
this.disabled || this.Activate(t);
if (!this.menu || !this.menu.posted) {
var n = document.getElementById("MathJax_MenuFrame").childNodes, r = t.parentNode.childNodes;
for (var i = 0, s = r.length; i < s; i++) {
var o = r[i].menuItem;
o && o.menu && o.menu.posted && o.Deactivate(r[i]);
}
s = n.length - 1;
while (s >= 0 && t.parentNode.menuItem !== n[s].menuItem) n[s].menuItem.posted = !1, n[s].parentNode.removeChild(n[s]), s--;
this.Timer && !d.isMobile && this.Timer(e, t);
}
},
Mouseout: function(e, t) {
(!this.menu || !this.menu.posted) && this.Deactivate(t), this.timer && (clearTimeout(this.timer), delete this.timer);
},
Mouseup: function(e, t) {
return this.Remove(e, t);
},
Touchstart: function(e, t) {
return this.TouchEvent(e, t, "Mousedown");
},
Touchend: function(e, t) {
return this.TouchEvent(e, t, "Mouseup");
},
TouchEvent: function(e, t, n) {
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);
},
Remove: function(e, t) {
return t = t.parentNode.menuItem, t.Remove(e, t);
},
Activate: function(e) {
this.Deactivate(e), e.className += " MathJax_MenuActive";
},
Deactivate: function(e) {
e.className = e.className.replace(/ MathJax_MenuActive/, "");
},
With: function(t) {
return t && e.Insert(this, t), this;
}
});
d.ITEM.COMMAND = d.ITEM.Subclass({
action: function() {},
Init: function(e, t, n) {
this.name = e, this.action = t, this.With(n);
},
Label: function(e, t) {
return [ this.name ];
},
Mouseup: function(e, t) {
return this.disabled || (this.Remove(e, t), o.Post([ "command", this ]), this.action.call(this, e)), h(e);
}
}), d.ITEM.SUBMENU = d.ITEM.Subclass({
menu: null,
marker: u && !e.Browser.isSafari ? "\u25b6" : "\u25b8",
Init: function(e, t) {
this.name = e;
var n = 1;
t instanceof d.ITEM || (this.With(t), n++), this.menu = d.apply(d, [].slice.call(arguments, n));
},
Label: function(e, t) {
return this.menu.posted = !1, [ this.name + " ", [ "span", {
className: "MathJax_MenuArrow"
}, [ this.marker ] ] ];
},
Timer: function(e, t) {
this.timer && clearTimeout(this.timer), e = {
clientX: e.clientX,
clientY: e.clientY
}, this.timer = setTimeout(r([ "Mouseup", this, e, t ]), c.delay);
},
Touchend: function(e, t) {
var n = this.menu.posted, r = this.SUPER(arguments).Touchend.apply(this, arguments);
return n && (this.Deactivate(t), delete v.lastItem, delete v.lastMenu), r;
},
Mouseup: function(e, t) {
if (!this.disabled) if (!this.menu.posted) this.timer && (clearTimeout(this.timer), delete this.timer), this.menu.Post(e, t); else {
var n = document.getElementById("MathJax_MenuFrame").childNodes, r = n.length - 1;
while (r >= 0) {
var i = n[r];
i.menuItem.posted = !1, i.parentNode.removeChild(i);
if (i.menuItem === this.menu) break;
r--;
}
}
return h(e);
}
}), d.ITEM.RADIO = d.ITEM.Subclass({
variable: null,
marker: u ? "\u25cf" : "\u2713",
Init: function(e, t, n) {
this.name = e, this.variable = t, this.With(n), this.value == null && (this.value = this.name);
},
Label: function(e, t) {
var n = {
className: "MathJax_MenuRadioCheck"
};
return c.settings[this.variable] !== this.value && (n = {
style: {
display: "none"
}
}), [ [ "span", n, [ this.marker ] ], " " + this.name ];
},
Mouseup: function(e, t) {
if (!this.disabled) {
var n = t.parentNode.childNodes;
for (var r = 0, i = n.length; r < i; r++) {
var s = n[r].menuItem;
s && s.variable === this.variable && (n[r].firstChild.style.display = "none");
}
t.firstChild.display = "", c.settings[this.variable] = this.value, d.cookie[this.variable] = c.settings[this.variable], d.saveCookie(), o.Post([ "radio button", this ]);
}
return this.Remove(e, t), this.action && !this.disabled && this.action.call(d, this), h(e);
}
}), d.ITEM.CHECKBOX = d.ITEM.Subclass({
variable: null,
marker: "\u2713",
Init: function(e, t, n) {
this.name = e, this.variable = t, this.With(n);
},
Label: function(e, t) {
var n = {
className: "MathJax_MenuCheck"
};
return c.settings[this.variable] || (n = {
style: {
display: "none"
}
}), [ [ "span", n, [ this.marker ] ], " " + this.name ];
},
Mouseup: function(e, t) {
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);
}
}), d.ITEM.LABEL = d.ITEM.Subclass({
Init: function(e, t) {
this.name = e, this.With(t);
},
Label: function(e, t) {
return delete e.onmouseover, delete e.onmouseout, delete e.onmousedown, e.className += " MathJax_MenuLabel", [ this.name ];
}
}), d.ITEM.RULE = d.ITEM.Subclass({
Label: function(e, t) {
return delete e.onmouseover, delete e.onmouseout, delete e.onmousedown, e.className += " MathJax_MenuRule", null;
}
}), d.About = function() {
var n = i["HTML-CSS"] || {
fontInUse: ""
}, r = n.webFonts ? "" : "local ", s = n.webFonts ? " web" : "", o = (n.imgFonts ? "Image" : r + n.fontInUse + s) + " fonts";
o === "local  fonts" && i.SVG && (o = "web SVG fonts");
var u = [ "MathJax.js v" + MathJax.fileversion, [ "br" ] ];
u.push([ "div", {
style: {
"border-top": "groove 2px",
margin: ".25em 0"
}
} ]), 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", {
style: {
"border-top": "groove 2px",
margin: ".25em 0"
}
} ]), d.About.GetJax(u, MathJax.Extension, "Extension", !0), u.push([ "div", {
style: {
"border-top": "groove 2px",
margin: ".25em 0"
}
} ], [ "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);
var a = t.addElement(d.About.div, "div", {
id: "MathJax_About"
}, [ [ "b", {
style: {
fontSize: "120%"
}
}, [ "MathJax" ] ], " v" + MathJax.version, [ "br" ], "using " + o, [ "br" ], [ "br" ], [ "span", {
style: {
display: "inline-block",
"text-align": "left",
"font-size": "80%",
"max-height": "20em",
overflow: "auto",
"background-color": "#E4E4E4",
padding: ".4em .6em",
border: "1px inset"
}
}, u ], [ "br" ], [ "br" ], [ "a", {
href: "http://www.mathjax.org/"
}, [ "www.mathjax.org" ] ], [ "img", {
src: c.closeImg,
style: {
width: "21px",
height: "21px",
position: "absolute",
top: ".2em",
right: ".2em"
},
onclick: d.About.Remove
} ] ]), f = document.documentElement || {}, l = window.innerHeight || f.clientHeight || f.scrollHeight || 0;
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");
}, d.About.Remove = function(e) {
d.About.div && (document.body.removeChild(d.About.div), delete d.About.div);
}, d.About.GetJax = function(e, t, n, r) {
var i = [];
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);
i.sort();
for (var o = 0, u = i.length; o < u; o++) e.push(i[o], [ "br" ]);
return e;
}, d.Help = function() {
window.open(c.helpURL, "MathJaxHelp");
}, d.ShowSource = function(e) {
e || (e = window.event);
var t = {
screenX: e.screenX,
screenY: e.screenY
};
if (!d.jax) return;
if (this.format === "MathML") {
var i = MathJax.ElementJax.mml;
if (i && typeof i.mbase.prototype.toMathML != "undefined") try {
d.ShowSource.Text(d.jax.root.toMathML(), e);
} catch (s) {
if (!s.restart) throw s;
r.After([ this, d.ShowSource, t ], s.restart);
} else if (!n.loadingToMathML) {
n.loadingToMathML = !0, d.ShowSource.Window(e), r.Queue(n.Require("[MathJax]/extensions/toMathML.js"), function() {
delete n.loadingToMathML, i.mbase.prototype.toMathML || (i.mbase.prototype.toMathML = function() {});
}, [ this, d.ShowSource, t ]);
return;
}
} else {
if (d.jax.originalText == null) {
alert("No original form available");
return;
}
d.ShowSource.Text(d.jax.originalText, e);
}
}, d.ShowSource.Window = function(e) {
if (!d.ShowSource.w) {
var t = [], n = c.windowSettings;
for (var r in n) n.hasOwnProperty(r) && t.push(r + "=" + n[r]);
d.ShowSource.w = window.open("", "_blank", t.join(","));
}
return d.ShowSource.w;
}, d.ShowSource.Text = function(e, t) {
var n = d.ShowSource.Window(t);
delete d.ShowSource.w, e = e.replace(/^\s*/, "").replace(/\s*$/, ""), e = e.replace(/&/g, "&amp;").replace(/</g, "&lt;").replace(/>/g, "&gt;");
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 {
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();
var r = n.document.body.firstChild;
setTimeout(function() {
var e = n.outerHeight - n.innerHeight || 30, i = n.outerWidth - n.innerWidth || 30, s, o;
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));
}, 50);
}
}, d.Scale = function() {
var t = i["HTML-CSS"], n = i.NativeMML, r = i.SVG, s = (t || n || r || {
config: {
scale: 100
}
}).config.scale, o = prompt("Scale all mathematics (compared to surrounding text) by", s + "%");
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%)"));
}, d.Zoom = function() {
MathJax.Extension.MathZoom || n.Require("[MathJax]/extensions/MathZoom.js");
}, d.Renderer = function() {
var t = e.outputJax["jax/mml"];
if (t[0] !== c.settings.renderer) {
var n = e.Browser, r, i = d.Renderer.Messages, s;
switch (c.settings.renderer) {
case "NativeMML":
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");
break;
case "SVG":
c.settings.warnedSVG || n.isMSIE && !f && (r = i.SVG.MSIE);
}
if (r) {
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();
if (!confirm(r)) return;
s && (d.cookie[s] = c.settings[s] = !0), d.cookie.renderer = c.settings.renderer, d.saveCookie();
}
e.Queue([ "setRenderer", e, c.settings.renderer, "jax/mml" ], [ "Rerender", e ]);
}
}, d.Renderer.Messages = {
MML: {
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.",
MSIE: "Internet Explorer requires the MathPlayer plugin in order to process MathML output.",
Opera: "Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",
Safari: "Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",
Firefox: "Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."
},
SVG: {
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."
}
}, d.Font = function() {
var e = i["HTML-CSS"];
if (!e) return;
document.location.reload();
}, d.MPEvents = function(e) {
var t = c.settings.discoverable, n = d.MPEvents.Messages;
if (!f) {
if (c.settings.mpMouse && !confirm(n.IE8warning)) {
delete d.cookie.mpContext, delete c.settings.mpContext, delete d.cookie.mpMouse, delete c.settings.mpMouse, d.saveCookie();
return;
}
c.settings.mpContext = c.settings.mpMouse, d.cookie.mpContext = d.cookie.mpMouse = c.settings.mpMouse, d.saveCookie(), MathJax.Hub.Queue([ "Rerender", MathJax.Hub ]);
} else !t && e.name === "Menu Events" && c.settings.mpContext && alert(n.IE9warning);
}, d.MPEvents.Messages = {
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?",
IE9warning: "The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."
}, e.Browser.Select({
MSIE: function(e) {
var t = document.compatMode === "BackCompat", n = e.versionAtLeast("8.0") && document.documentMode > 7;
d.Augment({
margin: 20,
msieBackgroundBug: document.documentMode < 9,
msieFixedPositionBug: t || !n,
msieAboutBug: t
}), f && (delete c.styles["#MathJax_About"].filter, delete c.styles[".MathJax_Menu"].filter);
},
Firefox: function(e) {
d.skipMouseover = e.isMobile && e.versionAtLeast("6.0"), d.skipMousedown = e.isMobile;
}
}), d.isMobile = e.Browser.isMobile, d.noContextMenu = e.Browser.noContextMenu, e.Register.StartupHook("End Config", function() {
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, {
nativeTouch: !0,
format: "MathML"
}), v.COMMAND("Original Form", d.ShowSource, {
nativeTouch: !0
}), v.RULE(), v.CHECKBOX("Show TeX hints in MathML", "texHints")), v.RULE(), v.SUBMENU("Math Settings", v.SUBMENU("Zoom Trigger", v.RADIO("Hover", "zoom", {
action: d.Zoom
}), v.RADIO("Click", "zoom", {
action: d.Zoom
}), v.RADIO("Double-Click", "zoom", {
action: d.Zoom
}), v.RADIO("No Zoom", "zoom", {
value: "None"
}), v.RULE(), v.LABEL("Trigger Requires:"), v.CHECKBOX(e.Browser.isMac ? "Option" : "Alt", "ALT"), v.CHECKBOX("Command", "CMD", {
hidden: !e.Browser.isMac
}), v.CHECKBOX("Control", "CTRL", {
hidden: e.Browser.isMac
}), 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", {
hidden: !c.showRenderer
}, v.RADIO("HTML-CSS", "renderer", {
action: d.Renderer
}), v.RADIO("MathML", "renderer", {
action: d.Renderer,
value: "NativeMML"
}), v.RADIO("SVG", "renderer", {
action: d.Renderer
})), v.SUBMENU("MathPlayer", {
hidden: !e.Browser.isMSIE || !c.showMathPlayer,
disabled: !e.Browser.hasMathPlayer
}, v.LABEL("Let MathPlayer Handle:"), v.CHECKBOX("Menu Events", "mpContext", {
action: d.MPEvents,
hidden: !f
}), v.CHECKBOX("Mouse Events", "mpMouse", {
action: d.MPEvents,
hidden: !f
}), v.CHECKBOX("Mouse and Menu Events", "mpMouse", {
action: d.MPEvents,
hidden: f
})), v.SUBMENU("Font Preference", {
hidden: !c.showFontMenu
}, v.LABEL("For HTML-CSS:"), v.RADIO("Auto", "font", {
action: d.Font
}), v.RULE(), v.RADIO("TeX (local)", "font", {
action: d.Font
}), v.RADIO("TeX (web)", "font", {
action: d.Font
}), v.RADIO("TeX (image)", "font", {
action: d.Font
}), v.RULE(), v.RADIO("STIX (local)", "font", {
action: d.Font
})), v.SUBMENU("Contextual Menu", {
hidden: !c.showContext
}, v.RADIO("MathJax", "context"), v.RADIO("Browser", "context")), v.COMMAND("Scale All Math ...", d.Scale), v.RULE().With({
hidden: !c.showDiscoverable,
name: "discover_rule"
}), v.CHECKBOX("Highlight on Hover", "discoverable", {
hidden: !c.showDiscoverable
})), v.RULE(), v.COMMAND("About MathJax", d.About), v.COMMAND("MathJax Help", d.Help)), d.isMobile && function() {
var e = c.settings, t = d.menu.Find("Math Settings", "Zoom Trigger").menu;
t.items[0].disabled = t.items[1].disabled = !0;
if (e.zoom === "Hover" || e.zoom == "Click") e.zoom = "None";
t.items = t.items.slice(0, 4), navigator.appVersion.match(/[ (]Android[) ]/) && d.ITEM.SUBMENU.Augment({
marker: "\u00bb"
});
}();
}), d.showRenderer = function(e) {
d.cookie.showRenderer = c.showRenderer = e, d.saveCookie(), d.menu.Find("Math Settings", "Math Renderer").hidden = !e;
}, d.showMathPlayer = function(e) {
d.cookie.showMathPlayer = c.showMathPlayer = e, d.saveCookie(), d.menu.Find("Math Settings", "MathPlayer").hidden = !e;
}, d.showFontMenu = function(e) {
d.cookie.showFontMenu = c.showFontMenu = e, d.saveCookie(), d.menu.Find("Math Settings", "Font Preference").hidden = !e;
}, d.showContext = function(e) {
d.cookie.showContext = c.showContext = e, d.saveCookie(), d.menu.Find("Math Settings", "Contextual Menu").hidden = !e;
}, d.showDiscoverable = function(e) {
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;
}, MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready", function() {
MathJax.OutputJax["HTML-CSS"].config.imageFont || (d.menu.Find("Math Settings", "Font Preference", "TeX (image)").disabled = !0);
}), 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" ]);
}(MathJax.Hub, MathJax.HTML, MathJax.Ajax, MathJax.CallBack, MathJax.OutputJax), function(e, t, n, r, i) {
var s = "2.1", o = e.CombineConfig("MathZoom", {
styles: {
"#MathJax_Zoom": {
position: "absolute",
"background-color": "#F0F0F0",
overflow: "auto",
display: "block",
"z-index": 301,
padding: ".5em",
border: "1px solid black",
margin: 0,
"font-weight": "normal",
"font-style": "normal",
"text-align": "left",
"text-indent": 0,
"text-transform": "none",
"line-height": "normal",
"letter-spacing": "normal",
"word-spacing": "normal",
"word-wrap": "normal",
"white-space": "nowrap",
"float": "none",
"box-shadow": "5px 5px 15px #AAAAAA",
"-webkit-box-shadow": "5px 5px 15px #AAAAAA",
"-moz-box-shadow": "5px 5px 15px #AAAAAA",
"-khtml-box-shadow": "5px 5px 15px #AAAAAA",
filter: "progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"
},
"#MathJax_ZoomOverlay": {
position: "absolute",
left: 0,
top: 0,
"z-index": 300,
display: "inline-block",
width: "100%",
height: "100%",
border: 0,
padding: 0,
margin: 0,
"background-color": "white",
opacity: 0,
filter: "alpha(opacity=0)"
},
"#MathJax_ZoomEventTrap": {
position: "absolute",
left: 0,
top: 0,
"z-index": 302,
display: "inline-block",
border: 0,
padding: 0,
margin: 0,
"background-color": "white",
opacity: 0,
filter: "alpha(opacity=0)"
}
}
}), u, a, f;
MathJax.Hub.Register.StartupHook("MathEvents Ready", function() {
f = MathJax.Extension.MathEvents.Event, u = MathJax.Extension.MathEvents.Event.False, a = MathJax.Extension.MathEvents.Hover;
});
var l = MathJax.Extension.MathZoom = {
version: s,
settings: e.config.menuSettings,
scrollSize: 18,
HandleEvent: function(e, t, n) {
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;
},
Click: function(e, t) {
if (this.settings.zoom === "Click") return this.Zoom(e, t);
},
DblClick: function(e, t) {
if (this.settings.zoom === "Double-Click") return this.Zoom(e, t);
},
Hover: function(e, t) {
return this.settings.zoom === "Hover" ? (this.Zoom(e, t), !0) : !1;
},
Zoom: function(n, r) {
this.Remove(), a.ClearHoverTimer(), f.ClearSelection();
var i = MathJax.OutputJax[r.jaxID], s = i.getJaxFromMath(r);
s.hover && a.UnHover(s);
var l = Math.floor(.85 * document.body.clientWidth), c = Math.floor(.85 * Math.max(document.body.clientHeight, document.documentElement.clientHeight)), h = t.Element("span", {
style: {
position: "relative",
display: "inline-block",
height: 0,
width: 0
},
id: "MathJax_ZoomFrame"
}, [ [ "span", {
id: "MathJax_ZoomOverlay",
onmousedown: this.Remove
} ], [ "span", {
id: "MathJax_Zoom",
onclick: this.Remove,
style: {
visibility: "hidden",
fontSize: this.settings.zscale,
"max-width": l + "px",
"max-height": c + "px"
}
}, [ [ "span", {
style: {
display: "inline-block",
"white-space": "nowrap"
}
} ] ] ] ]), p = h.lastChild, v = p.firstChild, m = h.firstChild;
r.parentNode.insertBefore(h, r), r.parentNode.insertBefore(r, h), v.addEventListener && v.addEventListener("mousedown", this.Remove, !0);
if (this.msieTrapEventBug) {
var y = t.Element("span", {
id: "MathJax_ZoomEventTrap",
onmousedown: this.Remove
});
h.insertBefore(y, p);
}
if (this.msieZIndexBug) {
var w = t.addElement(document.body, "img", {
src: "about:blank",
id: "MathJax_ZoomTracker",
width: 0,
height: 0,
style: {
width: 0,
height: 0,
position: "relative"
}
});
h.style.position = "relative", h.style.zIndex = o.styles["#MathJax_ZoomOverlay"]["z-index"], h = w;
}
var E = i.Zoom(s, v, r, l, c);
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);
},
Position: function(e, t) {
var n = this.Resize(), r = n.x, i = n.y, s = t.mW, o = -s - Math.floor((e.offsetWidth - s) / 2), u = t.Y;
e.style.left = Math.max(o, 10 - r) + "px", e.style.top = Math.max(u, 10 - i) + "px", l.msiePositionBug || l.SetWH();
},
Resize: function(e) {
l.onresize && l.onresize(e);
var t = 0, n = 0, r, i = document.getElementById("MathJax_ZoomFrame"), s = document.getElementById("MathJax_ZoomOverlay");
r = i;
while (r.offsetParent) t += r.offsetLeft, r = r.offsetParent;
l.operaPositionBug && (i.style.border = "1px solid"), r = i;
while (r.offsetParent) n += r.offsetTop, r = r.offsetParent;
return l.operaPositionBug && (i.style.border = ""), s.style.left = -t + "px", s.style.top = -n + "px", l.msiePositionBug ? setTimeout(l.SetWH, 0) : l.SetWH(), {
x: t,
y: n
};
},
SetWH: function() {
var e = document.getElementById("MathJax_ZoomOverlay");
e.style.width = e.style.height = "1px";
var t = document.documentElement || document.body;
e.style.width = t.scrollWidth + "px", e.style.height = Math.max(t.clientHeight, t.scrollHeight) + "px";
},
Remove: function(n) {
var r = document.getElementById("MathJax_ZoomFrame");
if (r) {
var i = MathJax.OutputJax[r.previousSibling.jaxID], s = i.getJaxFromMath(r.previousSibling);
e.signal.Post([ "math unzoomed", s ]), r.parentNode.removeChild(r), r = document.getElementById("MathJax_ZoomTracker"), r && r.parentNode.removeChild(r);
if (l.operaRefreshBug) {
var o = t.addElement(document.body, "div", {
style: {
position: "fixed",
left: 0,
top: 0,
width: "100%",
height: "100%",
backgroundColor: "white",
opacity: 0
},
id: "MathJax_OperaDiv"
});
document.body.removeChild(o);
}
window.removeEventListener ? removeEventListener("resize", l.Resize, !1) : window.detachEvent ? detachEvent("onresize", l.Resize) : (window.onresize = l.onresize, delete l.onresize);
}
return u(n);
}
};
e.Browser.Select({
MSIE: function(e) {
var t = document.documentMode || 0, n = t >= 9;
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;
},
Opera: function(e) {
l.operaPositionBug = !0, l.operaRefreshBug = !0;
}
}), l.topImg = l.msieInlineBlockAlignBug ? t.Element("img", {
style: {
width: 0,
height: 0,
position: "relative"
},
src: "about:blank"
}) : t.Element("span", {
style: {
width: 0,
height: 0,
display: "inline-block"
}
});
if (l.operaPositionBug || l.msieTopBug) l.topImg.style.border = "1px solid";
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" ]);
}(MathJax.Hub, MathJax.HTML, MathJax.Ajax, MathJax.OutputJax["HTML-CSS"], MathJax.OutputJax.NativeMML), MathJax.Extension["TeX/AMSmath"] = {
version: "2.1",
number: 0,
startNumber: 0,
labels: {},
eqlabels: {},
refs: []
}, MathJax.Hub.Register.StartupHook("TeX Jax Ready", function() {
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) {
var n = [];
for (var r = 0, i = e.length; r < i; r++) n[r] = t.Parse.prototype.Em(e[r]);
return n.join(" ");
};
r.Add({
mathchar0mo: {
iiiint: [ "2A0C", {
texClass: e.TEXCLASS.OP
} ]
},
macros: {
mathring: [ "Accent", "2DA" ],
nobreakspace: "Tilde",
negmedspace: [ "Spacer", e.LENGTH.NEGATIVEMEDIUMMATHSPACE ],
negthickspace: [ "Spacer", e.LENGTH.NEGATIVETHICKMATHSPACE ],
idotsint: [ "MultiIntegral", "\\int\\cdots\\int" ],
dddot: [ "Accent", "20DB" ],
ddddot: [ "Accent", "20DC" ],
sideset: [ "Macro", "\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}", 3 ],
boxed: [ "Macro", "\\fbox{$\\displaystyle{#1}$}", 1 ],
tag: "HandleTag",
notag: "HandleNoTag",
label: "HandleLabel",
ref: "HandleRef",
eqref: [ "HandleRef", !0 ],
substack: [ "Macro", "\\begin{subarray}{c}#1\\end{subarray}", 1 ],
injlim: [ "NamedOp", "inj&thinsp;lim" ],
projlim: [ "NamedOp", "proj&thinsp;lim" ],
varliminf: [ "Macro", "\\mathop{\\underline{\\mmlToken{mi}{lim}}}" ],
varlimsup: [ "Macro", "\\mathop{\\overline{\\mmlToken{mi}{lim}}}" ],
varinjlim: [ "Macro", "\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}" ],
varprojlim: [ "Macro", "\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}" ],
DeclareMathOperator: "HandleDeclareOp",
operatorname: "HandleOperatorName",
genfrac: "Genfrac",
frac: [ "Genfrac", "", "", "", "" ],
tfrac: [ "Genfrac", "", "", "", 1 ],
dfrac: [ "Genfrac", "", "", "", 0 ],
binom: [ "Genfrac", "(", ")", "0em", "" ],
tbinom: [ "Genfrac", "(", ")", "0em", 1 ],
dbinom: [ "Genfrac", "(", ")", "0em", 0 ],
cfrac: "CFrac",
shoveleft: [ "HandleShove", e.ALIGN.LEFT ],
shoveright: [ "HandleShove", e.ALIGN.RIGHT ],
xrightarrow: [ "xArrow", 8594, 5, 6 ],
xleftarrow: [ "xArrow", 8592, 7, 3 ]
},
environment: {
align: [ "AMSarray", null, !0, !0, "rlrlrlrlrlrl", o([ 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18, 2, 5 / 18 ]) ],
"align*": [ "AMSar…