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features.html
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features.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1" />
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<h1><a href="index.html"> <img src="/static/images/logo.png" alt="SymPy Logo" /> SymPy</a></h1>
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<li class=""><a href="index.html">Página Principal</a></li>
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<section class="row" id="main">
<div class="col span_7 clr small_span_4">
<article id="content">
<h2 class="title">Características</h2>
<div class="inner">
<div class="dropdown">
<h3>Capacidades principales</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/core.html">Documentación</a></p>
<ul>
<li><strong>Aritmética básica</strong> <a href="http://www.sympygamma.com/input/?i=23+pi+%2B+20%21+%2F+%283**5%29+-+2">Support for operators such
as <code>+</code>, <code>-</code>, <code>*</code>, <code>/</code>, <code>**</code> (power)</a></li>
<li> <strong>Simplificación</strong>
<a href="http://www.sympygamma.com/input/?i=simplify%28cos%28x%29cos%28y%29+-+sin%28x%29sin%28y%29%29">Trigonometry</a>, <a href="http://www.sympygamma.com/input/?i=simplify%28%282x%2B3%29%2810x-5%29%2F%282x-1%29%29">Polynomials</a></li>
<li><strong>Expansion:</strong>
<a href="http://www.sympygamma.com/input/?i=expand%28%285x+%2B+3%29*%281-x%29*%281%2B6x%29%29"> of a polynomial </a></li>
<li><strong>Funciones:</strong>
<a href="http://www.sympygamma.com/input/?i=%281+-+sin%5E2+x%29%2F%281+%2B+tan%5E2+x%29">trigonometric</a>,
<a href="http://www.sympygamma.com/input/?i=sinh%5E2+x+%2B+cosh%5E2+x">hyperbolic</a>,
<a href="http://www.sympygamma.com/input/?i=exp%28x%29+%2F+%281+%2B+exp%282x%29%29">exponential</a>,
<a href="http://www.sympygamma.com/input/?i=root%28x%2C+7%29+**+2">roots</a>,
<a href="http://www.sympygamma.com/input/?i=log%28-25%29">logarithms</a>,
<a href="http://www.sympygamma.com/input/?i=Abs%281+%2B+3I%29">absolute value</a>,
<a href="http://www.sympygamma.com/input/?i=Ylm%281%2C+-1%2C+theta%2C+phi%29">spherical harmonics</a>,
<a href="http://www.sympygamma.com/input/?i=gamma%2841%2F2%29+%2B+16%21%21">factorials and gamma functions</a>,
<a href="http://www.sympygamma.com/input/?i=zeta%284%29">zeta functions</a>,
<a href="http://www.sympygamma.com/input/?i=x**7+-+x**5+%2B+4x**3+%2B+1">polynomials</a>,
<a href="http://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">special functions</a>, ...
</li>
<li><strong>Substitution:</strong> <a href="http://www.sympygamma.com/input/?i=%28exp%28x%29+%2F+%281+%2B+exp%282x%29%29%29.subs%28exp%28x%29%2C+u%29">example</a></li>
<li><strong>Números:</strong>
<a href="http://www.sympygamma.com/input/?i=100%21">arbitrary precision integers</a>,
<a href="http://www.sympygamma.com/input/?i=0.%5B13579%5D">rationals</a>,
<a href="http://www.sympygamma.com/input/?i=exp%2820%21%29">and floats</a>
</li>
<li><strong>Símbolos no-conmutativos</strong></li>
<li><strong>Comparación de patrones</strong></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Polinomios</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/polys/index.html">Documentación</a></p>
<ul>
<li><strong>Aritmética básica</strong> división, mcd</li>
<li><strong>Factorización</strong></li>
<li><strong>Descomposición libre de cuadrados</strong></li>
<li><strong>bases Gröbner</strong></li>
<li><strong>Descomposición de fracciones parciales</strong></li>
<li><strong>Resultantes</strong></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Cálculo</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/integrals/integrals.html">Integration Documentation</a></p>
<ul>
<li>
<strong>Límites:</strong>
<a href="http://www.sympygamma.com/input/?i=limit%28x*log%28x%29%2C+x%2C+0%29">limit(x*log(x), x, 0) -> 0</a>
</li>
<li>
<strong>Derivadas</strong>
</li>
<li>
<strong>Integrales:</strong>
Usa la heurística extendida de Risch-Norman
</li>
<li><strong>Series de Taylor(Laurent)</strong></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Resolución de ecuaciones</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/solvers/solvers.html">Documentación</a></p>
<ul>
<li><strong>Ecuaciones polinomiales</strong></li>
<li><strong>Ecuaciones algebraicas</strong></li>
<li><strong>Ecuaciones Diferenciales</strong></li>
<li><strong>Relaciones de recurrencia</strong></li>
<li><strong>Sistemas de ecuaciones</strong></li>
<li><strong>Diophantine equations:</strong> <a href="http://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> − 4xy + 8y<sup>2</sup> − 3x + 7y = 5</a>, <a href="http://www.sympygamma.com/input/?i=diophantine%282%2Ax%20%2B%203%2Ay%20-%205%29">2x + 3y = 5</a></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Combinatorias</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/combinatorics/index.html">Documentación</a></p>
<ul>
<li><strong>Permutaciones</strong></li>
<li><strong>Combinaciones</strong></li>
<li><strong>Particiones</strong></li>
<li><strong>Subconjuntos</strong></li>
<li><strong>Grupos de Permutación</strong>: Polyhedral, Rubik, Symmetric, ...</li>
<li><strong>Códigos Prufer y Gray</strong></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Matemática discreta</h3>
<div>
<ul>
<li><strong>Coeficientes Binomiales</strong></li>
<li><strong>Sumatorias</strong></li>
<li><strong>Productorias</strong></li>
<li><strong>Teoría de números:</strong> generating prime numbers, primality testing, integer factorization, Diophantine equation solving... </li>
<li><strong>Expresiones lógicas</strong></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Matrices</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/matrices/index.html">Documentación</a></p>
<ul>
<li><strong>Aritmética básica</strong></li>
<li><strong>Eigenvalores/eigenvectores</strong></li>
<li><strong>Determinantes</strong></li>
<li><strong>Inversión</strong></li>
<li><strong>Solución</strong></li>
<li><strong>Expresiones abstractas</strong></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Álgebra Geométrica</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/galgebra/index.html">Documentación</a></p>
</div>
</div>
<div class="dropdown">
<h3>Geometría</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/geometry.html">Documentación</a></p>
<ul>
<li><strong>points, lines, rays, segments, ellipses, circles,
polygons, ...</strong></li>
<li><strong>Intersección</strong></li>
<li><strong>Tangentes</strong></li>
<li><strong>Similaridad</strong></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Gráficas</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/plotting.html">Documentación</a></p>
<ul>
<li><strong>Modos de coordenadas</strong></li>
<li><strong>Gráficas de entidades geométricas</strong></li>
<li><strong>2D y 3D</strong></li>
<li><strong>Interfaz interactiva</strong></li>
<li><strong>Colores</strong></li>
<li><strong>Matplotlib support</strong></li>
</ul>
<section class="gallery">
<figure>
<img src="/static/images/main_features_examples/plotting1.png"
alt="SymPy plot of sin(2 sin(2 sin(x))) with matplotlib" />
<figcaption><code>plot(sin(2*sin(2*sin(x))))</code></figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/plotting2.png"
alt="SymPy plot of x, x^2, and x^3 from x = -5 to 5" />
<figcaption><code>plot(x, x**2, x**3, (x, -5, 5))</code></figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/plotting3.png"
alt="SymPy parametric plot of x=cos(u), y=sin(u), u from -5 to 5" />
<figcaption><code>plot_parametric(cos(u), sin(u), (u, -5, 5))</code></figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/plotting4.png"
alt="SymPy 3D surface plot of xy, x from -5 to 5, y from 5 to 5" />
<figcaption><code>plot3d(x*y, (x, -5, 5), (y, -5, 5))</code></figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/plotting5.png"
alt="SymPy 3D parametric line plot of x=cos(u), y=sin(u), z=u, u from -5 to 5" />
<figcaption><code>plot3d_parametric_line(cos(u), sin(u), u, (u, -5, 5))</code></figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/plotting6.png"
alt="SymPy 3D parametric surface plot of x=cos(u+v), y=sin(u-v), z=u-v, u and v from -5 to 5" />
<figcaption><code>plot3d_parametric_surface(cos(u + v), sin(u - v), u - v, (u, -5, 5), (v, -5, 5))</code></figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/plotting7.png"
alt="SymPy implicit plot of x^2 + y^2 = 5" />
<figcaption><code>plot_implicit(Eq(x**2 + y**2, 5))</code></figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/plotting8.png"
alt="SymPy implicit plot of y > x^2" />
<figcaption><code>plot_implicit(y > x**2)</code></figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/plotting9.png"
alt="SymPy implicit plot of y > x (logical and) y > -x" />
<figcaption><code>plot_implicit(And(y > x, y > -x))</code></figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/plotting10.png"
alt="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" />
<figcaption><code>plot3d_parametric_surface(cos(u + v), sin(u - v), u - v, (u, -5, 5), (v, -5, 5))</code></figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/plotting11.png"
alt="SymPy Gamma plot of x=cos(t), y=sin(t)" />
<figcaption>SymPy Gamma plot</figcaption>
</figure>
</section>
</div>
</div>
<div class="dropdown">
<h3>Física</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/physics/index.html">Documentación</a></p>
<ul>
<li><strong>Unidades</strong></li>
<li><strong>Mecánica</strong></li>
<li><strong>Cuántico</strong></li>
<li><strong>Óptica de Gauss</strong></li>
<li><strong>Álgebra de Pauli</strong></li>
</ul>
<h4>IPython Notebook Examples</h4>
<ul>
<li><a href="http://nbviewer.ipython.org/github/pydy/pydy/blob/master/examples/tutorials/beginner.ipynb">Beginner Tutorial for SymPy Mechanics</a></li>
<li><a href="http://nbviewer.jupyter.org/github/pydy/pydy_examples/blob/master/mass_spring_damper/mass_spring_damper.ipynb">Deriving the Mass-Spring-Damper System with SymPy</a></li>
<li><a href="http://nbviewer.ipython.org/gist/rpmuller/5843312">Quantum Circuit Plotting with SymPy</a></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Estadística</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/stats.html">Documentación</a></p>
<ul>
<li><strong>Random variable types:</strong>
<ul>
<li><strong>Distribución Normal</strong></li>
<li><strong>Distribución uniforme</strong></li>
<li><strong>Bernoulli distributions</strong></li>
<li><strong>Binomial distributions</strong></li>
<li><strong>Hypergeometric distributions</strong></li>
<li><a href="http://docs.sympy.org/latest/modules/stats.html#random-variable-types">More…</a>
</ul>
</li>
<li><strong>Probabilidades</strong></li>
<li><strong>Expected value and variance</strong></li>
<li><strong>Probability density</strong></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Cryptography</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/crypto.html">Documentación</a></p>
<ul>
<li><strong>Shift cipher</strong></li>
<li><strong>Affine cipher</strong></></li>
<li><strong>Bifid ciphers</strong></></li>
<li><strong>Vigenere’s cipher</strong></></li>
<li><strong>Substitution ciphers</strong></></li>
<li><strong>Hill’s cipher</strong></></li>
<li><strong>RSA</strong></></li>
<li><strong>Kid RSA</strong></></li>
<li><strong>Linear feedback shift registers</strong></></li>
<li><strong>ElGamal encryption</strong></></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Parsing</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/parsing.html">Documentación</a></p>
<ul>
<li><strong>Conversion from Python objects to SymPy objects</strong></li>
<li><strong>Optional implicit multiplication and function application parsing</strong></li>
<li><strong>Limited Mathematica and Maxima parsing:</strong> <a href="http://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">example on SymPy Live</a></li>
<li><strong>Custom parsing transformations</strong></li>
</ul>
</div>
</div>
<div class="dropdown">
<h3>Escritura</h3>
<div>
<p><a href="http://docs.sympy.org/latest/modules/printing.html">Documentación</a></p>
<ul>
<li><strong>Escritura mejorada:</strong> Escritura mejorada en ASCII/Unicode, LaTeX</li>
<li><strong>Generación de Código:</strong> C, Fortran, Python</li>
<li><strong><a href="http://deeplearning.net/software/theano/">Theano</a> interaction</strong></li>
</ul>
<section class="gallery">
<figure>
<img src="/static/images/main_features_examples/printing1.png"
alt="Unicode printing in a Python shell" />
<figcaption>Unicode printing</figcaption>
</figure>
<figure>
<img src="/static/images/main_features_examples/printing2.png"
alt="LaTeX printing in an IPython notebook" />
<figcaption>LaTeX printing</figcaption>
</figure>
</section>
</div>
</div>
</div>
</article>
</div>
<div id="spacer" class="col span_1 clr small_span_0"> </div>
<aside id="sidebar" class="col span_4 clr small_span_2">
<div id="search-gamma" class="sidebar_card">
<h3> Compute with Gamma </h3>
<form method="get" action="http://www.sympygamma.com/input/" target="_blank">
<input type="text" name="i" />
<button>Compute</button>
</form>
</div>
<div id="about" class="sidebar_card">
<h3>Descarga Ahora</h3>
<p>
<a href="https://github.com/sympy/sympy/releases">Latest Version</a><br/>
<a href="http://github.com/sympy/sympy">Development Version</a>
</p>
</div>
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