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/templates/features.html

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  1. {% extends "base.html" %}
    2. 

  2. 

  3. {% block title %}{% trans %}Features{% endtrans %}{% endblock %}
    4. 

  4. 

  5. {% block content %}
    6. 

  6. 

  7. <h2 class="title">{% trans %}Features{% endtrans %}</h2>
    8. 

  8. <div class="inner">
    9. 

  9.     <div class="dropdown">
    10. 

  10.         <h3>{% trans %}Core capabilities{% endtrans %}</h3>
    11. 

  11.         <div>
    12. 

  12.             <p><a href="https://docs.sympy.org/latest/modules/core.html">{% trans %}Documentation{% endtrans %}</a></p>
    13. 

  13.             <ul>
    14. 

  14.                 <li><strong>{% trans %}Basic arithmetic:{% endtrans %}</strong> <a href="https://www.sympygamma.com/input/?i=23+pi+%2B+20%21+%2F+%283**5%29+-+2">{% trans %}Support for operators such
    15. 

  15.                     as <code>+</code>, <code>-</code>, <code>*</code>, <code>/</code>, <code>**</code> (power){% endtrans %}</a></li>
    16. 

  16.                 <li> <strong>{% trans %}Simplification{% endtrans %}</strong>
    17. 

  17.                     <a href="https://www.sympygamma.com/input/?i=simplify%28cos%28x%29cos%28y%29+-+sin%28x%29sin%28y%29%29">{% trans %}Trigonometry{% endtrans %}</a>, <a href="https://www.sympygamma.com/input/?i=simplify%28%282x%2B3%29%2810x-5%29%2F%282x-1%29%29">{% trans %}Polynomials</a>{% endtrans %}</li>
    18. 

  18.                 <li><strong>{% trans %}Expansion:{% endtrans
    19. 

  19.                     %}</strong>
    20. 

  20.                     <a href="https://www.sympygamma.com/input/?i=expand%28%285x+%2B+3%29*%281-x%29*%281%2B6x%29%29">{% trans %} of a polynomial {% endtrans %}</a></li>
    21. 

  21.                 <li><strong>{% trans %}Functions:{% endtrans %}</strong>
    22. 

  22.                     {% trans
    23. 

  23.                     trig='https://www.sympygamma.com/input/?i=%281+-+sin%5E2+x%29%2F%281+%2B+tan%5E2+x%29',
    24. 

  24.                     hyperbolic='https://www.sympygamma.com/input/?i=sinh%5E2+x+%2B+cosh%5E2+x',
    25. 

  25.                     exponential='https://www.sympygamma.com/input/?i=exp%28x%29+%2F+%281+%2B+exp%282x%29%29',
    26. 

  26.                     root='https://www.sympygamma.com/input/?i=root%28x%2C+7%29+**+2',
    27. 

  27.                     logarithm='https://www.sympygamma.com/input/?i=log%28-25%29',
    28. 

  28.                     abs='https://www.sympygamma.com/input/?i=Abs%281+%2B+3I%29',
    29. 

  29.                     spherical='https://www.sympygamma.com/input/?i=Ylm%281%2C+-1%2C+theta%2C+phi%29',
    30. 

  30.                     factorial='https://www.sympygamma.com/input/?i=gamma%2841%2F2%29+%2B+16%21%21',
    31. 

  31.                     zeta='https://www.sympygamma.com/input/?i=zeta%284%29',
    32. 

  32.                     polynomial='https://www.sympygamma.com/input/?i=x**7+-+x**5+%2B+4x**3+%2B+1',
    33. 

  33.                     special='https://live.sympy.org/?evaluate=from%20sympy.abc%20import%20n%2Ca%2Cb%2Cx%0A%23--%0Ajacobi(0%2C%20a%2C%20b%2C%20x)%0A%23--%0Ajacobi(1%2C%20a%2C%20b%2C%20x)%0A%23--%0Ajacobi(2%2C%20a%2C%20b%2C%20x)%0A%23--%0Ajacobi(n%2C%20a%2C%20a%2C%20x)%0A%23--%0Ajacobi(n%2C%20a%2C%20b%2C%200)%0A%23--%0Aconjugate(jacobi(n%2C%20a%2C%20b%2C%20x))%0A%23--%0Aerf(I*oo)%0A%23--%0ADiracDelta(x**2%20%2B%20x%20-%202).simplify(x)%0A%23--%0A' %}
    34. 

  34.                     <a href="{{ trig }}">trigonometric</a>,
    35. 

  35.                     <a href="{{ hyperbolic }}">hyperbolic</a>,
    36. 

  36.                     <a href="{{ exponential }}">exponential</a>,
    37. 

  37.                     <a href="{{ root }}">roots</a>,
    38. 

  38.                     <a href="{{ logarithm }}">logarithms</a>,
    39. 

  39.                     <a href="{{ abs }}">absolute value</a>,
    40. 

  40.                     <a href="{{ spherical }}">spherical harmonics</a>,
    41. 

  41.                     <a href="{{ factorial }}">factorials and gamma functions</a>,
    42. 

  42.                     <a href="{{ zeta }}">zeta functions</a>,
    43. 

  43.                     <a href="{{ polynomial }}">polynomials</a>,
    44. 

  44.                     <a href="{{ special }}">special functions</a>, ...{% endtrans %}
    45. 

  45.                 </li>
    46. 

  46.                 <li><strong>{% trans %}Substitution:{% endtrans %}</strong> <a href="https://www.sympygamma.com/input/?i=%28exp%28x%29+%2F+%281+%2B+exp%282x%29%29%29.subs%28exp%28x%29%2C+u%29">{% trans %}example{% endtrans %}</a></li>
    47. 

  47.                 <li><strong>{% trans %}Numbers:{% endtrans %}</strong>
    48. 

  48.                     {% trans
    49. 

  49.                     integer='https://www.sympygamma.com/input/?i=100%21',
    50. 

  50.                     rational='https://www.sympygamma.com/input/?i=0.%5B13579%5D',
    51. 

  51.                     float='https://www.sympygamma.com/input/?i=exp%2820%21%29'
    52. 

  52.                     %}
    53. 

  53.                     <a href="{{ integer }}">arbitrary precision integers</a>,
    54. 

  54.                     <a href="{{ rational }}">rationals</a>,
    55. 

  55.                     <a href="{{ float }}">and floats</a>
    56. 

  56.                     {% endtrans %}
    57. 

  57.                 </li>
    58. 

  58.                 <li><strong>{% trans %}Noncommutative symbols{% endtrans %}</strong></li>
    59. 

  59.                 <li><strong>{% trans %}Pattern matching{% endtrans %}</strong></li>
    60. 

  60.             </ul>
    61. 

  61.         </div>
    62. 

  62.     </div>
    63. 

  63. 

  64.     <div class="dropdown">
    65. 

  65.         <h3>{% trans %}Polynomials{% endtrans %}</h3>
    66. 

  66.         <div>
    67. 

  67.             <p><a href="https://docs.sympy.org/latest/modules/polys/index.html">{% trans %}Documentation{% endtrans %}</a></p>
    68. 

  68.             <ul>
    69. 

  69.                 <li><strong>{% trans %}Basic arithmetic:{% endtrans %}</strong> {% trans %} division, gcd, ... {% endtrans %}</li>
    70. 

  70.                 <li><strong>{% trans %}Factorization{% endtrans %}</strong></li>
    71. 

  71.                 <li><strong>{% trans %}Square-free decomposition{% endtrans %}</strong></li>
    72. 

  72.                 <li><strong>{% trans %}Gröbner bases{% endtrans %}</strong></li>
    73. 

  73.                 <li><strong>{% trans %}Partial fraction decomposition{% endtrans %}</strong></li>
    74. 

  74.                 <li><strong>{% trans %}Resultants{% endtrans %}</strong></li>
    75. 

  75.             </ul>
    76. 

  76.         </div>
    77. 

  77.     </div>
    78. 

  78. 

  79.     <div class="dropdown">
    80. 

  80.         <h3>{% trans %}Calculus{% endtrans %}</h3>
    81. 

  81.         <div>
    82. 

  82.             <p><a href="https://docs.sympy.org/latest/modules/integrals/integrals.html">{% trans %}Integration Documentation{% endtrans %}</a></p>
    83. 

  83.             <ul>
    84. 

  84.                 <li>
    85. 

  85.                     <strong>{% trans %}Limits:{% endtrans %}</strong>
    86. 

  86.                     <a href="https://www.sympygamma.com/input/?i=limit%28x*log%28x%29%2C+x%2C+0%29">limit(x*log(x), x, 0) -&gt; 0</a>
    87. 

  87.                 </li>
    88. 

  88.                 <li>
    89. 

  89.                     <strong>{% trans %}Differentiation{% endtrans %}</strong>
    90. 

  90.                 </li>
    91. 

  91.                 <li>
    92. 

  92.                     <strong>{% trans %}Integration:{% endtrans %}</strong>
    93. 

  93.                     {% trans %}It uses extended Risch-Norman heuristic{% endtrans %}
    94. 

  94.                 </li>
    95. 

  95.                 <li><strong>{% trans %}Taylor (Laurent) series{% endtrans %}</strong></li>
    96. 

  96.             </ul>
    97. 

  97.         </div>
    98. 

  98.     </div>
    99. 

  99. 

  100.     <div class="dropdown">
    101. 

  101.         <h3>{% trans %}Solving equations{% endtrans %}</h3>
    102. 

  102.         <div>
    103. 

  103.             <p><a href="https://docs.sympy.org/latest/modules/solvers/solvers.html">{% trans %}Documentation{% endtrans %}</a></p>
    104. 

  104.             <ul>
    105. 

  105.                 <li><strong>{% trans %}Polynomial equations{% endtrans %}</strong></li>
    106. 

  106.                 <li><strong>{% trans %}Algebraic equations{% endtrans %}</strong></li>
    107. 

  107.                 <li><strong>{% trans %}Differential equations{% endtrans %}</strong></li>
    108. 

  108.                 <li><strong>{% trans %}Difference equations{% endtrans %}</strong></li>
    109. 

  109.                 <li><strong>{% trans %}Systems of equations{% endtrans %}</strong></li>
    110. 

  110.                 <li><strong>{% trans %}Diophantine equations:{% endtrans %}</strong> <a href="https://www.sympygamma.com/input/?i=diophantine%28x%2A%2A2%20-%204%2Ax%2Ay%20%2B%208%2Ay%2A%2A2%20-%203%2Ax%20%2B%207%2Ay%20-%205%29">x<sup>2</sup> &#8722; 4xy + 8y<sup>2</sup> &#8722; 3x + 7y = 5</a>, <a href="https://www.sympygamma.com/input/?i=diophantine%282%2Ax%20%2B%203%2Ay%20-%205%29">2x + 3y = 5</a></li>
    111. 

  111.             </ul>
    112. 

  112.         </div>
    113. 

  113.     </div>
    114. 

  114. 

  115.     <div class="dropdown">
    116. 

  116.         <h3>{% trans %}Combinatorics{% endtrans %}</h3>
    117. 

  117.         <div>
    118. 

  118.             <p><a href="https://docs.sympy.org/latest/modules/combinatorics/index.html">{% trans %}Documentation{% endtrans %}</a></p>
    119. 

  119.             <ul>
    120. 

  120.                 <li><strong>{% trans %}Permutations{% endtrans %}</strong></li>
    121. 

  121.                 <li><strong>{% trans %}Combinations{% endtrans %}</strong></li>
    122. 

  122.                 <li><strong>{% trans %}Partitions{% endtrans %}</strong></li>
    123. 

  123.                 <li><strong>{% trans %}Subsets{% endtrans %}</strong></li>
    124. 

  124.                 <li><strong>{% trans %}Permutation Groups{% endtrans %}</strong>: Polyhedral, Rubik, Symmetric, ...</li>
    125. 

  125.                 <li><strong>{% trans %}Prufer and Gray Codes{% endtrans %}</strong></li>
    126. 

  126.             </ul>
    127. 

  127.         </div>
    128. 

  128.     </div>
    129. 

  129. 

  130.     <div class="dropdown">
    131. 

  131.         <h3>{% trans %}Discrete math{% endtrans %}</h3>
    132. 

  132.         <div>
    133. 

  133.             <ul>
    134. 

  134.                 <li><strong>{% trans %}Binomial coefficients{% endtrans %}</strong></li>
    135. 

  135.                 <li><strong>{% trans %}Summations{% endtrans %}</strong></li>
    136. 

  136.                 <li><strong>{% trans %}Products{% endtrans %}</strong></li>
    137. 

  137.                 <li><strong>{% trans %}Number theory:{% endtrans %}</strong> {% trans
    138. 

  138.                     %}generating prime numbers, primality testing,  integer factorization, Diophantine equation solving... {% endtrans %}</li>
    139. 

  139.                 <li><strong>{% trans %}Logic expressions{% endtrans %}</strong></li>
    140. 

  140.             </ul>
    141. 

  141.         </div>
    142. 

  142.     </div>
    143. 

  143. 

  144.     <div class="dropdown">
    145. 

  145.         <h3>{% trans %}Matrices{% endtrans %}</h3>
    146. 

  146.         <div>
    147. 

  147.             <p><a href="https://docs.sympy.org/latest/modules/matrices/index.html">{% trans %}Documentation{% endtrans %}</a></p>
    148. 

  148.             <ul>
    149. 

  149.                 <li><strong>{% trans %}Basic arithmetic{% endtrans %}</strong></li>
    150. 

  150.                 <li><strong>{% trans %}Eigenvalues/eigenvectors{% endtrans %}</strong></li>
    151. 

  151.                 <li><strong>{% trans %}Determinants{% endtrans %}</strong></li>
    152. 

  152.                 <li><strong>{% trans %}Inversion{% endtrans %}</strong></li>
    153. 

  153.                 <li><strong>{% trans %}Solving{% endtrans %}</strong></li>
    154. 

  154.                 <li><strong>{% trans %}Abstract expressions{% endtrans %}</strong></li>
    155. 

  155.             </ul>
    156. 

  156.         </div>
    157. 

  157.     </div>
    158. 

  158. 

  159.     <div class="dropdown">
    160. 

  160.         <h3>{% trans %}Geometry{% endtrans %}</h3>
    161. 

  161.         <div>
    162. 

  162.             <p><a href="https://docs.sympy.org/latest/modules/geometry/index.html">{% trans %}Documentation{% endtrans %}</a></p>
    163. 

  163.             <ul>
    164. 

  164.                 <li><strong>{% trans %}points, lines, rays, segments, ellipses, circles,
    165. 

  165.                     polygons, ...{% endtrans %}</strong></li>
    166. 

  166.                 <li><strong>{% trans %}Intersection{% endtrans %}</strong></li>
    167. 

  167.                 <li><strong>{% trans %}Tangency{% endtrans %}</strong></li>
    168. 

  168.                 <li><strong>{% trans %}Similarity{% endtrans %}</strong></li>
    169. 

  169.             </ul>
    170. 

  170.         </div>
    171. 

  171.     </div>
    172. 

  172. 

  173.     <div class="dropdown">
    174. 

  174.         <h3>{% trans %}Plotting{% endtrans %}</h3>
    175. 

  175.         <div>
    176. 

  176.             <p><a href="https://docs.sympy.org/latest/modules/plotting.html">{% trans %}Documentation{% endtrans %}</a></p>
    177. 

  177.             <ul>
    178. 

  178.                 <li><strong>{% trans %}Coordinate modes{% endtrans %}</strong></li>
    179. 

  179.                 <li><strong>{% trans %}Plotting Geometric Entities{% endtrans %}</strong></li>
    180. 

  180.                 <li><strong>{% trans %}2D and 3D{% endtrans %}</strong></li>
    181. 

  181.                 <li><strong>{% trans %}Interactive interface{% endtrans %}</strong></li>
    182. 

  182.                 <li><strong>{% trans %}Colors{% endtrans %}</strong></li>
    183. 

  183.                 <li><strong>{% trans %}Matplotlib support{% endtrans %}</strong></li>
    184. 

  184.             </ul>
    185. 

  185. 

  186.             <section class="gallery">
    187. 

  187.                 <figure>
    188. 

  188.                     <img src="/static/images/main_features_examples/plotting1.png"
    189. 

  189.                          alt="{% trans %}SymPy plot of sin(2 sin(2 sin(x))) with matplotlib{% endtrans %}" />
    190. 

  190.                     <figcaption><code>plot(sin(2*sin(2*sin(x))))</code></figcaption>
    191. 

  191.                 </figure>
    192. 

  192.                 <figure>
    193. 

  193.                     <img src="/static/images/main_features_examples/plotting2.png"
    194. 

  194.                          alt="{% trans %}SymPy plot of x, x^2, and x^3, from x = -5 to 5{% endtrans %}" />
    195. 

  195.                     <figcaption><code>plot(x, x**2, x**3, (x, -5, 5))</code></figcaption>
    196. 

  196.                 </figure>
    197. 

  197.                 <figure>
    198. 

  198.                     <img src="/static/images/main_features_examples/plotting3.png"
    199. 

  199.                          alt="{% trans %}SymPy parametric plot of x=cos(u), y=sin(u), from u = -5 to 5{% endtrans %}" />
    200. 

  200.                     <figcaption><code>plot_parametric(cos(u), sin(u), (u, -5, 5))</code></figcaption>
    201. 

  201.                 </figure>
    202. 

  202.                 <figure>
    203. 

  203.                     <img src="/static/images/main_features_examples/plotting4.png"
    204. 

  204.                          alt="{% trans %}SymPy 3D surface plot of xy, from x = -5 to 5, from y = -5 to 5{% endtrans %}" />
    205. 

  205.                     <figcaption><code>plot3d(x*y, (x, -5, 5), (y, -5, 5))</code></figcaption>
    206. 

  206.                 </figure>
    207. 

  207.                 <figure>
    208. 

  208.                     <img src="/static/images/main_features_examples/plotting5.png"
    209. 

  209.                          alt="{% trans %}SymPy 3D parametric line plot of x=cos(u), y=sin(u), z=u, from u = -5 to 5{% endtrans %}" />
    210. 

  210.                     <figcaption><code>plot3d_parametric_line(cos(u), sin(u), u, (u, -5, 5))</code></figcaption>
    211. 

  211.                 </figure>
    212. 

  212.                 <figure>
    213. 

  213.                     <img src="/static/images/main_features_examples/plotting6.png"
    214. 

  214.                          alt="{% trans %}SymPy 3D parametric surface plot of x=cos(u+v), y=sin(u-v), z=u-v, u and v from -5 to 5{% endtrans %}" />
    215. 

  215.                     <figcaption><code>plot3d_parametric_surface(cos(u + v), sin(u - v), u - v, (u, -5, 5), (v, -5, 5))</code></figcaption>
    216. 

  216.                 </figure>
    217. 

  217.                 <figure>
    218. 

  218.                     <img src="/static/images/main_features_examples/plotting7.png"
    219. 

  219.                          alt="{% trans %}SymPy implicit plot of x^2 + y^2 = 5{% endtrans %}" />
    220. 

  220.                     <figcaption><code>plot_implicit(Eq(x**2 + y**2, 5))</code></figcaption>
    221. 

  221.                 </figure>
    222. 

  222.                 <figure>
    223. 

  223.                     <img src="/static/images/main_features_examples/plotting8.png"
    224. 

  224.                          alt="{% trans %}SymPy implicit plot of y &gt; x^2{% endtrans %}" />
    225. 

  225.                     <figcaption><code>plot_implicit(y > x**2)</code></figcaption>
    226. 

  226.                 </figure>
    227. 

  227.                 <figure>
    228. 

  228.                     <img src="/static/images/main_features_examples/plotting9.png"
    229. 

  229.                          alt="{% trans %}SymPy implicit plot of y &gt; x (logical and) y &gt; -x{% endtrans %}" />
    230. 

  230.                     <figcaption><code>plot_implicit(And(y &gt; x, y &gt; -x))</code></figcaption>
    231. 

  231.                 </figure>
    232. 

  232.                 <figure>
    233. 

  233.                     <img src="/static/images/main_features_examples/plotting10.png"
    234. 

  234.                          alt="{% trans %}Matplotlib interactive interface of SymPy 3D parametric surface plot of x=cos(u+v), y=sin(u-v), z=u-v, u and v from -5 to 5{% endtrans %}" />
    235. 

  235.                     <figcaption><code>plot3d_parametric_surface(cos(u + v), sin(u - v), u - v, (u, -5, 5), (v, -5, 5))</code></figcaption>
    236. 

  236.                 </figure>
    237. 

  237.                 <figure>
    238. 

  238.                     <img src="/static/images/main_features_examples/plotting11.png"
    239. 

  239.                          alt="{% trans %}SymPy Gamma plot of x=cos(t), y=sin(t){% endtrans %}" />
    240. 

  240.                     <figcaption>{% trans %}SymPy Gamma plot{% endtrans %}</figcaption>
    241. 

  241.                 </figure>
    242. 

  242.             </section>
    243. 

  243.         </div>
    244. 

  244.     </div>
    245. 

  245. 

  246.     <div class="dropdown">
    247. 

  247.         <h3>{% trans %}Physics{% endtrans %}</h3>
    248. 

  248.         <div>
    249. 

  249.             <p><a href="https://docs.sympy.org/latest/modules/physics/index.html">{% trans %}Documentation{% endtrans %}</a></p>
    250. 

  250.             <ul>
    251. 

  251.                 <li><strong>{% trans %}Units{% endtrans %}</strong></li>
    252. 

  252.                 <li><strong>{% trans %}Mechanics{% endtrans %}</strong></li>
    253. 

  253.                 <li><strong>{% trans %}Quantum{% endtrans %}</strong></li>
    254. 

  254.                 <li><strong>{% trans %}Gaussian Optics{% endtrans %}</strong></li>
    255. 

  255.                 <li><strong>{% trans %}Pauli Algebra{% endtrans %}</strong></li>
    256. 

  256.             </ul>
    257. 

  257. 

  258.             <h4>{% trans %}IPython Notebook Examples{% endtrans %}</h4>
    259. 

  259.             <ul>
    260. 

  260.                 <li><a href="https://nbviewer.ipython.org/github/pydy/pydy/blob/master/examples/tutorials/beginner.ipynb">{% trans %}Beginner Tutorial for SymPy Mechanics{% endtrans %}</a></li>
    261. 

  261.                 <li><a href="https://nbviewer.jupyter.org/github/pydy/pydy_examples/blob/master/mass_spring_damper/mass_spring_damper.ipynb">{% trans %}Deriving the Mass-Spring-Damper System with SymPy{% endtrans %}</a></li>
    262. 

  262.                 <li><a href="https://nbviewer.ipython.org/gist/rpmuller/5843312">{% trans %}Quantum Circuit Plotting with SymPy{% endtrans %}</a></li>
    263. 

  263.             </ul>
    264. 

  264.         </div>
    265. 

  265.     </div>
    266. 

  266. 

  267.     <div class="dropdown">
    268. 

  268.         <h3>{% trans %}Statistics{% endtrans %}</h3>
    269. 

  269.         <div>
    270. 

  270.             <p><a href="https://docs.sympy.org/latest/modules/stats.html">{% trans %}Documentation{% endtrans %}</a></p>
    271. 

  271.             <ul>
    272. 

  272.               <li><strong>{% trans %}Random variable types:{% endtrans %}</strong>
    273. 

  273.                 <ul>
    274. 

  274.                   <li><strong>{% trans %}Normal distributions{% endtrans %}</strong></li>
    275. 

  275.                   <li><strong>{% trans %}Uniform distributions{% endtrans %}</strong></li>
    276. 

  276.                   <li><strong>{% trans %}Bernoulli distributions{% endtrans %}</strong></li>
    277. 

  277.                   <li><strong>{% trans %}Binomial distributions{% endtrans %}</strong></li>
    278. 

  278.                   <li><strong>{% trans %}Hypergeometric distributions{% endtrans %}</strong></li>
    279. 

  279.                   <li><a href="https://docs.sympy.org/latest/modules/stats.html#random-variable-types">{% trans %}More&hellip;{% endtrans %}</a>
    280. 

  280.                 </ul>
    281. 

  281.               </li>
    282. 

  282.               <li><strong>{% trans %}Probability{% endtrans %}</strong></li>
    283. 

  283.               <li><strong>{% trans %}Expected value and variance{% endtrans %}</strong></li>
    284. 

  284.               <li><strong>{% trans %}Probability density{% endtrans %}</strong></li>
    285. 

  285.             </ul>
    286. 

  286.         </div>
    287. 

  287.     </div>
    288. 

  288. 

  289.     <div class="dropdown">
    290. 

  290.         <h3>{% trans %}Cryptography{% endtrans %}</h3>
    291. 

  291.         <div>
    292. 

  292.             <p><a href="https://docs.sympy.org/latest/modules/crypto.html">{% trans %}Documentation{% endtrans %}</a></p>
    293. 

  293.             <ul>
    294. 

  294.               <li><strong>{% trans %}Shift cipher{% endtrans %}</strong></li>
    295. 

  295.               <li><strong>{% trans %}Affine cipher{% endtrans %}</strong></></li>
    296. 

  296.               <li><strong>{% trans %}Bifid ciphers{% endtrans %}</strong></></li>
    297. 

  297.               <li><strong>{% trans %}Vigenere’s cipher{% endtrans %}</strong></></li>
    298. 

  298.               <li><strong>{% trans %}Substitution ciphers{% endtrans %}</strong></></li>
    299. 

  299.               <li><strong>{% trans %}Hill’s cipher{% endtrans %}</strong></></li>
    300. 

  300.               <li><strong>{% trans %}RSA{% endtrans %}</strong></></li>
    301. 

  301.               <li><strong>{% trans %}Kid RSA{% endtrans %}</strong></></li>
    302. 

  302.               <li><strong>{% trans %}Linear feedback shift registers{% endtrans %}</strong></></li>
    303. 

  303.               <li><strong>{% trans %}ElGamal encryption{% endtrans %}</strong></></li>
    304. 

  304.             </ul>
    305. 

  305.         </div>
    306. 

  306.     </div>
    307. 

  307. 

  308.     <div class="dropdown">
    309. 

  309.         <h3>{% trans %}Parsing{% endtrans %}</h3>
    310. 

  310.         <div>
    311. 

  311.             <p><a href="https://docs.sympy.org/latest/modules/parsing.html">{% trans %}Documentation{% endtrans %}</a></p>
    312. 

  312.             <ul>
    313. 

  313.                 <li><strong>{% trans %}Conversion from Python objects to SymPy objects{% endtrans %}</strong></li>
    314. 

  314.                 <li><strong>{% trans %}Optional implicit multiplication and function application parsing{% endtrans %}</strong></li>
    315. 

  315.                 <li><strong>{% trans %}Limited Mathematica and Maxima parsing:{% endtrans %}</strong> <a href="https://live.sympy.org/?evaluate=from%20sympy.parsing.mathematica%20import%20mathematica%0A%23--%0Afrom%20sympy.parsing.maxima%20import%20parse_maxima%0A%23--%0Amathematica(%27Sin%5Bx%5D%27)%0A%23--%0Aparse_maxima(%27sqrt(x%5E2)%27)%0A%23--%0A">{% trans %}example on SymPy Live{% endtrans %}</a></li>
    316. 

  316.                 <li><strong>{% trans %}Custom parsing transformations{% endtrans %}</strong></li>
    317. 

  317.             </ul>
    318. 

  318.         </div>
    319. 

  319.     </div>
    320. 

  320. 

  321.     <div class="dropdown">
    322. 

  322.         <h3>{% trans %}Printing{% endtrans %}</h3>
    323. 

  323.         <div>
    324. 

  324.             <p><a href="https://docs.sympy.org/latest/modules/printing.html">{% trans %}Documentation{% endtrans %}</a></p>
    325. 

  325.             <ul>
    326. 

  326.                 <li><strong>{% trans %}Pretty printing:{% endtrans %}</strong> {% trans %}ASCII/Unicode pretty printing, LaTeX{% endtrans %}</li>
    327. 

  327.                 <li><strong>{% trans %}Code generation:{% endtrans %}</strong> {% trans %}C, Fortran, Python{% endtrans %}</li>
    328. 

  328.                 <li><strong>{% trans %}<a href="https://deeplearning.net/software/theano/">Theano</a> interaction{% endtrans %}</strong></li>
    329. 

  329.             </ul>
    330. 

  330. 

  331.             <section class="gallery">
    332. 

  332.                 <figure>
    333. 

  333.                     <img src="/static/images/main_features_examples/printing1.png"
    334. 

  334.                          alt="{% trans %}Unicode printing in a Python shell{% endtrans %}" />
    335. 

  335.                     <figcaption>{% trans %}Unicode printing{% endtrans %}</figcaption>
    336. 

  336.                 </figure>
    337. 

  337.                 <figure>
    338. 

  338.                     <img src="/static/images/main_features_examples/printing2.png"
    339. 

  339.                          alt="{% trans %}LaTeX printing in an IPython notebook{% endtrans %}" />
    340. 

  340.                     <figcaption>{% trans %}LaTeX printing{% endtrans %}</figcaption>
    341. 

  341.                 </figure>
    342. 

  342.             </section>
    343. 

  343.         </div>
    344. 

  344.     </div>
    345. 

  345. </div>
    346. 

  346. 

  347. {% endblock %}
    348. 

  348.