modelparameters.sympy.sandbox package

Submodules

modelparameters.sympy.sandbox.indexed_integrals module

class modelparameters.sympy.sandbox.indexed_integrals.IndexedIntegral(function, *limits, **assumptions)

Bases: Integral

Experimental class to test integration by indexed variables.

Usage is analogue to Integral, it simply adds awareness of integration over indices.

Contraction of non-identical index symbols referring to the same IndexedBase is not yet supported.

Examples

>>> from .indexed_integrals import IndexedIntegral
>>> from .. import IndexedBase, symbols
>>> A = IndexedBase('A')
>>> i, j = symbols('i j', integer=True)
>>> ii = IndexedIntegral(A[i], A[i])
>>> ii
Integral(_A[i], _A[i])
>>> ii.doit()
A[i]**2/2

If the indices are different, indexed objects are considered to be different variables:

>>> i2 = IndexedIntegral(A[j], A[i])
>>> i2
Integral(A[j], _A[i])
>>> i2.doit()
A[i]*A[j]

default_assumptions = {}

doit()

Perform the integration using any hints given.

Examples

>>> from .. import Integral
>>> from ..abc import x, i
>>> Integral(x**i, (i, 1, 3)).doit()
Piecewise((2, Eq(log(x), 0)), (x**3/log(x) - x/log(x), True))

See also

sympy.integrals.trigonometry.trigintegrate, sympy.integrals.risch.heurisch, sympy.integrals.rationaltools.ratint

as_sum

Approximate the integral using a sum

is_commutative

Module contents

Sandbox module of SymPy.

This module contains experimental code, use at your own risk!

There is no warranty that this code will still be located here in future versions of SymPy.