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d1d246eae87d877764fea2ba1de86c27e579c846281c079324245cf6b06b3a9b
from typing import Tuple as tTuple, Union as tUnion from sympy.core.add import Add from sympy.core.cache import cacheit from sympy.core.expr import Expr from sympy.core.function import Function, ArgumentIndexError, PoleError, expand_mul from sympy.core.logic import fuzzy_not, fuzzy_or, FuzzyBool, fuzzy_and from sympy.c...
b99a1f7dd21435735fcdc6de618fbcf1f4dd90faafd96aeeef8db3bbde34a9d4
from sympy.core import Function, S, sympify, NumberKind from sympy.utilities.iterables import sift from sympy.core.add import Add from sympy.core.containers import Tuple from sympy.core.operations import LatticeOp, ShortCircuit from sympy.core.function import (Application, Lambda, ArgumentIndexError) from sympy.cor...
a3ccb64d429c9fdbdaade6e1adc65241083e0ceaa324747668fd360a88600c4a
from sympy.core import S, Function, diff, Tuple, Dummy, Mul from sympy.core.basic import Basic, as_Basic from sympy.core.numbers import Rational, NumberSymbol, _illegal from sympy.core.parameters import global_parameters from sympy.core.relational import (Lt, Gt, Eq, Ne, Relational, _canonical, _canonical_coeff) fr...
d30f170450507e5c8e42e083ab265b4325557ccb6b14de7a3b7804b49cecd7ec
r"""A module for special angle forumlas for trigonometric functions TODO ==== This module should be developed in the future to contain direct squrae root representation of .. math F(\frac{n}{m} \pi) for every - $m \in \{ 3, 5, 17, 257, 65537 \}$ - $n \in \mathbb{N}$, $0 \le n < m$ - $F \in \{\sin, \cos, \tan, ...
a146bfcccf7a2d9ba4ccd44640aaf0660ed615f6c461e8e65cb1cbff9c49eca4
from math import prod from sympy.core import Add, S, Dummy, expand_func from sympy.core.expr import Expr from sympy.core.function import Function, ArgumentIndexError, PoleError from sympy.core.logic import fuzzy_and, fuzzy_not from sympy.core.numbers import Rational, pi, oo, I from sympy.core.power import Pow from sym...
08e768f35d2af2f8d5c8788e62c803e537001381b76d0533417944ae80d6b23d
import string from sympy.concrete.products import Product from sympy.concrete.summations import Sum from sympy.core.function import (diff, expand_func) from sympy.core import (EulerGamma, TribonacciConstant) from sympy.core.numbers import (Float, I, Rational, oo, pi) from sympy.core.singleton import S from sympy.core....
c6c7f9377d082dbfe6769c7a09be44d28d506395788a6a435f6c2a00d2675c11
from sympy.calculus.accumulationbounds import AccumBounds from sympy.core.add import Add from sympy.core.function import (Lambda, diff) from sympy.core.mod import Mod from sympy.core.mul import Mul from sympy.core.numbers import (E, Float, I, Rational, nan, oo, pi, zoo) from sympy.core.power import Pow from sympy.core....
419a56c392aaf43d66f26c65802542512b32e8deac2d559f6e399603047e1273
from sympy.concrete.summations import Sum from sympy.core.add import Add from sympy.core.basic import Basic from sympy.core.containers import Tuple from sympy.core.expr import unchanged from sympy.core.function import (Function, diff, expand) from sympy.core.mul import Mul from sympy.core.numbers import (Float, I, Rati...
d289acab73ac1cae9660a7ad44c94bb2877fe1eb8aa1ed6784eaa6050381fabc
import itertools as it from sympy.core.expr import unchanged from sympy.core.function import Function from sympy.core.numbers import I, oo, Rational from sympy.core.power import Pow from sympy.core.singleton import S from sympy.core.symbol import Symbol from sympy.external import import_module from sympy.functions.ele...
533f66c8f0f321cd928075ee5c9f6e8b4a3a9243b302d097dbe1a233e388df2f
from sympy.core.add import Add from sympy.core.assumptions import check_assumptions from sympy.core.containers import Tuple from sympy.core.exprtools import factor_terms from sympy.core.function import _mexpand from sympy.core.mul import Mul from sympy.core.numbers import Rational from sympy.core.numbers import igcdex,...
b58b8ab9eacfccb42de8f0eb2304bb64d5ad7af880a62d98f952be90968e5b3b
r""" This module contains :py:meth:`~sympy.solvers.ode.dsolve` and different helper functions that it uses. :py:meth:`~sympy.solvers.ode.dsolve` solves ordinary differential equations. See the docstring on the various functions for their uses. Note that partial differential equations support is in ``pde.py``. Note t...
00487e0bbd05a2632191c77884f2d109d28b1a5e0acff1b1111b0c8af650baa0
# # This is the module for ODE solver classes for single ODEs. # from __future__ import annotations from typing import ClassVar, Iterator from .riccati import match_riccati, solve_riccati from sympy.core import Add, S, Pow, Rational from sympy.core.cache import cached_property from sympy.core.exprtools import factor_...
2631b6967f2aa132650de0b0c641f1336a6c1d9469db5dadbaf39918051478dd
from sympy.assumptions.ask import (Q, ask) from sympy.core.add import Add from sympy.core.containers import Tuple from sympy.core.function import (Derivative, Function, diff) from sympy.core.mul import Mul from sympy.core import (GoldenRatio, TribonacciConstant) from sympy.core.numbers import (E, Float, I, Rational, oo...
11ea86102a40b07a1a5ee942b0e109eb30059f98bc883cb9d94a3aedac050082
from sympy.core.function import nfloat from sympy.core.numbers import (Float, I, Rational, pi) from sympy.core.relational import Eq from sympy.core.symbol import (Symbol, symbols) from sympy.functions.elementary.miscellaneous import sqrt from sympy.functions.elementary.piecewise import Piecewise from sympy.functions.el...
cd50872728d5170f71a50fc4142b00df7cc11b0090f2049e2ed6cb180f6dd2e4
from sympy.core.numbers import (I, Rational, oo) from sympy.core.singleton import S from sympy.core.symbol import Symbol from sympy.functions.elementary.exponential import (exp, log) from sympy.functions.elementary.miscellaneous import sqrt from sympy.calculus.singularities import ( singularities, is_increasing...
9797da9a87102c77fd0a26740a343509fde07951b2d234f8294654482bd6b73b
import inspect import copy import pickle from sympy.physics.units import meter from sympy.testing.pytest import XFAIL, raises from sympy.core.basic import Atom, Basic from sympy.core.core import BasicMeta from sympy.core.singleton import SingletonRegistry from sympy.core.symbol import Str, Dummy, Symbol, Wild from s...
5097b982974bb01883963143ce4456e363ed13adb167ab5d25ada7014ce263b7
from itertools import product import math import inspect import mpmath from sympy.testing.pytest import raises, warns_deprecated_sympy from sympy.concrete.summations import Sum from sympy.core.function import (Function, Lambda, diff) from sympy.core.numbers import (E, Float, I, Rational, oo, pi) from sympy.core.rela...
6289b7f58ab1a9bee63b4171491aac3a6c5252faf009a391744e1effbf181889
import itertools from sympy.core import S from sympy.core.add import Add from sympy.core.containers import Tuple from sympy.core.function import Function from sympy.core.mul import Mul from sympy.core.numbers import Number, Rational from sympy.core.power import Pow from sympy.core.sorting import default_sort_key from ...
edf1a77203f3bd46d28ed96db2efa4c220853eff6d265bf6ccf2d1168dd990dc
from sympy.concrete.summations import Sum from sympy.core.mod import Mod from sympy.core.relational import (Equality, Unequality) from sympy.core.symbol import Symbol from sympy.functions.elementary.miscellaneous import sqrt from sympy.functions.elementary.piecewise import Piecewise from sympy.functions.special.gamma_f...
3731a1911da950c7ddf25214d9c151f5b15ad09f3d473a47b37cc3820016b57a
from sympy.functions.elementary.complexes import Abs from sympy.functions.elementary.miscellaneous import sqrt from sympy.core import S, Rational from sympy.integrals.intpoly import (decompose, best_origin, distance_to_side, polytope_integrate, point_sort, ...
8f0682bd62685bfe7f0939030c125e443b4b0941dd633cb3b3e7fb1b22436957
import math from sympy.concrete.summations import (Sum, summation) from sympy.core.add import Add from sympy.core.containers import Tuple from sympy.core.expr import Expr from sympy.core.function import (Derivative, Function, Lambda, diff) from sympy.core import EulerGamma from sympy.core.numbers import (E, Float, I, R...
def845b94ed581c4c1d78104e00450dc194ae612e666445d01da7cd5c6b8dd3b
from sympy.integrals.laplace import ( laplace_transform, inverse_laplace_transform, LaplaceTransform, InverseLaplaceTransform) from sympy.core.function import Function, expand_mul from sympy.core import EulerGamma, Subs, Derivative, diff from sympy.core.exprtools import factor_terms from sympy.core.numbers impo...
39ff57129cf0074086cbbdb6cf8d6839d5046df980b1cb0084cbad7b6ffca1e0
from sympy.integrals.transforms import ( mellin_transform, inverse_mellin_transform, fourier_transform, inverse_fourier_transform, sine_transform, inverse_sine_transform, cosine_transform, inverse_cosine_transform, hankel_transform, inverse_hankel_transform, FourierTransform, SineTransform, Cosi...
45167bafe025b420b3ec2c5fba7f22b39c555549255e36c17c3543a05a2901fd
from sympy.assumptions.refine import refine from sympy.concrete.summations import Sum from sympy.core.add import Add from sympy.core.basic import Basic from sympy.core.containers import Tuple from sympy.core.expr import (ExprBuilder, unchanged, Expr, UnevaluatedExpr) from sympy.core.function import (Function, expan...
21e192f1d5a0da733c2e770afbf5c7e32b82ca80634881e07a60c61298951277
"""Test whether all elements of cls.args are instances of Basic. """ # NOTE: keep tests sorted by (module, class name) key. If a class can't # be instantiated, add it here anyway with @SKIP("abstract class) (see # e.g. Function). import os import re from sympy.assumptions.ask import Q from sympy.core.basic import Ba...
02015ddd124031a908e80c420f37ceac68125fb51e023c6f3c7b374739369ece
import numbers as nums import decimal from sympy.concrete.summations import Sum from sympy.core import (EulerGamma, Catalan, TribonacciConstant, GoldenRatio) from sympy.core.containers import Tuple from sympy.core.expr import unchanged from sympy.core.logic import fuzzy_not from sympy.core.mul import Mul from sympy...
bd5a176321b37533b712d951bb4b0e3718c1ddfa6b5f167bffd55ee87747f38b
from sympy.concrete.summations import Sum from sympy.core.basic import Basic, _aresame from sympy.core.cache import clear_cache from sympy.core.containers import Dict, Tuple from sympy.core.expr import Expr, unchanged from sympy.core.function import (Subs, Function, diff, Lambda, expand, nfloat, Derivative) from sy...
8de6cf8ebdf6550b0bf96de568e3312ae624ca8f5216991d5eb4c57ea0cbddee
from sympy.core.logic import fuzzy_and from sympy.core.sympify import _sympify from sympy.multipledispatch import dispatch from sympy.testing.pytest import XFAIL, raises from sympy.assumptions.ask import Q from sympy.core.add import Add from sympy.core.basic import Basic from sympy.core.expr import Expr from sympy.core...
8549b2e17c94fc0016da9e3dc22b4fe204c04aa0d7cbda3b2c91cefab6127b71
from sympy.core.add import Add from sympy.core.containers import Tuple from sympy.core.function import (Function, Lambda) from sympy.core.mul import Mul from sympy.core.numbers import (Float, I, Integer, Rational, pi, oo) from sympy.core.power import Pow from sympy.core.singleton import S from sympy.core.symbol import ...
4a13ad6b5f3173e8c59529e79478725ac0ee98bc9046bf756220b58ff80bf52c
import math from sympy.concrete.products import (Product, product) from sympy.concrete.summations import Sum from sympy.core.add import Add from sympy.core.evalf import N from sympy.core.function import (Function, nfloat) from sympy.core.mul import Mul from sympy.core import (GoldenRatio) from sympy.core.numbers impor...
e0f5d4c09fd8757f5e81b60dacfc08facdc89034c6c9185867ac5cff554b53b0
"""Implementation of :class:`AlgebraicField` class. """ from sympy.core.add import Add from sympy.core.mul import Mul from sympy.core.singleton import S from sympy.polys.domains.characteristiczero import CharacteristicZero from sympy.polys.domains.field import Field from sympy.polys.domains.simpledomain import Simple...
4f632f222108dce3c5a0e439129dc781984d5357af3fe5b1bb4a03546ee825af
"""Implementation of :class:`IntegerRing` class. """ from sympy.external.gmpy import MPZ, HAS_GMPY from sympy.polys.domains.groundtypes import ( SymPyInteger, factorial, gcdex, gcd, lcm, sqrt, ) from sympy.polys.domains.characteristiczero import CharacteristicZero from sympy.polys.domains.ring import Rin...
a6c55fdd803530c91eb95be7f88a6617fadcdc012187c538534f61e9d118f6ed
"""Tests for the implementation of RootOf class and related tools. """ from sympy.polys.polytools import Poly import sympy.polys.rootoftools as rootoftools from sympy.polys.rootoftools import (rootof, RootOf, CRootOf, RootSum, _pure_key_dict as D) from sympy.polys.polyerrors import ( MultivariatePolynomialErr...
b4392326bcc6a836aeec720f5d33a08b41962a39a30cbba0174c991fbef7eaf6
"""Tests for user-friendly public interface to polynomial functions. """ import pickle from sympy.polys.polytools import ( Poly, PurePoly, poly, parallel_poly_from_expr, degree, degree_list, total_degree, LC, LM, LT, pdiv, prem, pquo, pexquo, div, rem, quo, exquo, half_gcdex, gcdex, in...
f5f9961436a5f281b7958c3e300f7c129a200ebb03f80e88c608e138f57eecf2
from __future__ import annotations from math import floor as mfloor from sympy.polys.domains import ZZ, QQ from sympy.polys.matrices.exceptions import DMRankError, DMShapeError, DMValueError, DMDomainError linear_dependent_error = "input matrix contains linearly dependent rows" def ddm_lll(x, delta=QQ(3, 4)): ...
9242610bcc843240718cc007ed4ed86a23b3d35f4c0b9ba40e0966693d113b87
""" Module for the DomainMatrix class. A DomainMatrix represents a matrix with elements that are in a particular Domain. Each DomainMatrix internally wraps a DDM which is used for the lower-level operations. The idea is that the DomainMatrix class provides the convenience routines for converting between Expr and the ...
6b2dcbbf6d57dd0aaccf2b0137bd7176bf4a190b82e640c197dd1ad928f1ea93
""" Module to define exceptions to be used in sympy.polys.matrices modules and classes. Ideally all exceptions raised in these modules would be defined and documented here and not e.g. imported from matrices. Also ideally generic exceptions like ValueError/TypeError would not be raised anywhere. """ class DMError(...
a6c826bbfe5ec54dfdf9bc234ba1bcc1c2e815eb2533efc5597a4f7412bde07b
""" Module for the SDM class. """ from operator import add, neg, pos, sub, mul from collections import defaultdict from sympy.utilities.iterables import _strongly_connected_components from .exceptions import DMBadInputError, DMDomainError, DMShapeError from .ddm import DDM from .lll import ddm_lll from sympy.poly...
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""" Module for the ddm_* routines for operating on a matrix in list of lists matrix representation. These routines are used internally by the DDM class which also provides a friendlier interface for them. The idea here is to implement core matrix routines in a way that can be applied to any simple list representation...
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from typing import TypeVar, Protocol T = TypeVar('T') class RingElement(Protocol): def __add__(self: T, other: T, /) -> T: ... def __sub__(self: T, other: T, /) -> T: ... def __mul__(self: T, other: T, /) -> T: ... def __pow__(self: T, other: int, /) -> T: ... def __neg__(self: T, /) -> T: ...
59d6904a2124e7a33b911122f2e04f2fda8e1ce86188b60f1374d05a8b661a6c
""" Module for the DDM class. The DDM class is an internal representation used by DomainMatrix. The letters DDM stand for Dense Domain Matrix. A DDM instance represents a matrix using elements from a polynomial Domain (e.g. ZZ, QQ, ...) in a dense-matrix representation. Basic usage: >>> from sympy import ZZ, QQ...
cba704355488379614785f8f71c33801337505d85da9b953357348a4330acca1
from sympy.polys.domains import ZZ, QQ from sympy.polys.matrices import DM from sympy.polys.matrices.domainmatrix import DomainMatrix from sympy.polys.matrices.exceptions import DMRankError, DMValueError, DMShapeError, DMDomainError from sympy.polys.matrices.lll import ddm_lll from sympy.testing.pytest import raises ...
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from sympy.core.basic import Basic from sympy.core.numbers import (I, Rational, pi) from sympy.core.parameters import evaluate from sympy.core.singleton import S from sympy.core.symbol import Symbol from sympy.core.sympify import sympify from sympy.functions.elementary.miscellaneous import sqrt from sympy.geometry impo...
3bb6205716b6d494e19d23d1e2486e2d71aae3bc44f2e858c9d0fe2c6d692344
# -*- coding: utf-8 -*- import sys import builtins import types from sympy.assumptions import Q from sympy.core import Symbol, Function, Float, Rational, Integer, I, Mul, Pow, Eq from sympy.functions import exp, factorial, factorial2, sin, Min, Max from sympy.logic import And from sympy.series import Limit from symp...
d69c6552ae033cf811745a0b3fca4160222d2363dc4bef8a78cf033a8d38295f
from .lti import (TransferFunction, Series, MIMOSeries, Parallel, MIMOParallel, Feedback, MIMOFeedback, TransferFunctionMatrix, bilinear) from .control_plots import (pole_zero_numerical_data, pole_zero_plot, step_response_numerical_data, step_response_plot, impulse_response_numerical_data, impulse_response_plot...
7da95f61b2f178d557c1dda499b5f30d3daa3eae8c9ad0aa3d61f5a4523cc4ad
from typing import Type from sympy.core.add import Add from sympy.core.basic import Basic from sympy.core.containers import Tuple from sympy.core.evalf import EvalfMixin from sympy.core.expr import Expr from sympy.core.function import expand from sympy.core.logic import fuzzy_and from sympy.core.mul import Mul from sy...
436e5e803854b3ec6b961e68cb86419673aa179a49b50d52468dbcaf99e7b9d6
from sympy.core.numbers import I, pi from sympy.functions.elementary.exponential import (exp, log) from sympy.polys.partfrac import apart from sympy.core.symbol import Dummy from sympy.external import import_module from sympy.functions import arg, Abs from sympy.integrals.laplace import _fast_inverse_laplace from sympy...
661fe38b927461e032d807b3b1070757d5b689c5a869add9c136df8c2090989a
from collections import deque from sympy.core.random import randint from sympy.external import import_module from sympy.core.basic import Basic from sympy.core.mul import Mul from sympy.core.numbers import Number, equal_valued from sympy.core.power import Pow from sympy.core.singleton import S from sympy.physics.quant...
21256dc6642340bdbc9de01cbf22c30fa409b4b0053f0a2d081780acf983b857
"""Dirac notation for states.""" from sympy.core.cache import cacheit from sympy.core.containers import Tuple from sympy.core.expr import Expr from sympy.core.function import Function from sympy.core.numbers import oo, equal_valued from sympy.core.singleton import S from sympy.functions.elementary.complexes import con...
cf13e8873ba8e07fef7aaa3f2e4c2cd6637998ab9f2a52b9259ae0a714170013
"""Quantum mechanical operators. TODO: * Fix early 0 in apply_operators. * Debug and test apply_operators. * Get cse working with classes in this file. * Doctests and documentation of special methods for InnerProduct, Commutator, AntiCommutator, represent, apply_operators. """ from sympy.core.add import Add from s...
77538f7836c569b5183626a02ad706f0ed08bfdc81c5190df7e363f04fa0533d
"""Matplotlib based plotting of quantum circuits. Todo: * Optimize printing of large circuits. * Get this to work with single gates. * Do a better job checking the form of circuits to make sure it is a Mul of Gates. * Get multi-target gates plotting. * Get initial and final states to plot. * Get measurements to plo...
b32d8dde8cec15aa21df0df5f1dbeca75caf0a53212f767a43c7d44dcef6f4cc
from sympy.utilities import dict_merge from sympy.utilities.iterables import iterable from sympy.physics.vector import (Dyadic, Vector, ReferenceFrame, Point, dynamicsymbols) from sympy.physics.vector.printing import (vprint, vsprint, vpprint, vlatex, ...
16671c5bce36f492df83df86c5ce2879e92b3e2da283bee0619276c7ba95ccc0
from sympy.physics.mechanics import (Body, Lagrangian, KanesMethod, LagrangesMethod, RigidBody, Particle) from sympy.physics.mechanics.method import _Methods from sympy.core.backend import Matrix __all__ = ['JointsMethod'] class JointsMethod(_Methods): """Method for formulatin...
0d5bd6cbda8d466ef8d8d146701a726c5636d192b7054ec358d6cb3135d8885a
# isort:skip_file """ Dimensional analysis and unit systems. This module defines dimension/unit systems and physical quantities. It is based on a group-theoretical construction where dimensions are represented as vectors (coefficients being the exponents), and units are defined as a dimension to which we added a scale...
0768d3ec112cc82499994c47e9162b3fd81519e5cb9f49cb860313f6014e0d6e
""" Definition of physical dimensions. Unit systems will be constructed on top of these dimensions. Most of the examples in the doc use MKS system and are presented from the computer point of view: from a human point, adding length to time is not legal in MKS but it is in natural system; for a computer in natural sys...
245e4a480267728f282889cf0b77190912597f191cb55b1b885f26c64e77ef8c
from sympy.core.add import Add from sympy.core.function import Function from sympy.core.mul import Mul from sympy.core.numbers import (I, Rational, oo) from sympy.core.power import Pow from sympy.core.singleton import S from sympy.core.symbol import symbols from sympy.functions.elementary.exponential import exp from sy...
132c62120c9cd270d2c1e270234254c2d6bb819f354d51c297b603128b13aef2
from sympy.core.numbers import Rational from sympy.core.singleton import S from sympy.core.symbol import symbols from sympy.functions.elementary.exponential import log from sympy.external import import_module from sympy.physics.quantum.density import Density, entropy, fidelity from sympy.physics.quantum.state import Ke...
05935800d1f6c36c5f3a4a85037a084bf2a5d4a9f09c352ba15eddf6543721d6
from sympy.core.function import (Derivative, Function, diff) from sympy.core.mul import Mul from sympy.core.numbers import (Integer, pi) from sympy.core.symbol import (Symbol, symbols) from sympy.functions.elementary.trigonometric import sin from sympy.physics.quantum.qexpr import QExpr from sympy.physics.quantum.dagge...
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import random from sympy.core.numbers import (Integer, Rational) from sympy.core.singleton import S from sympy.core.symbol import symbols from sympy.functions.elementary.miscellaneous import sqrt from sympy.matrices.dense import Matrix from sympy.physics.quantum.qubit import (measure_all, measure_partial, ...
aeffe40854b5a76fbf78d8d7133755096e1fefcce98d374b3a0685a34668d037
from sympy.core.backend import sin, cos, tan, pi, symbols, Matrix, S, Function from sympy.physics.mechanics import (Particle, Point, ReferenceFrame, RigidBody) from sympy.physics.mechanics import (angular_momentum, dynamicsymbols, inertia, inerti...
17747265cd408ccd828796f6ed3b7e558759d470085af860b504104df32237ac
from .unit_definitions import ( percent, percents, permille, rad, radian, radians, deg, degree, degrees, sr, steradian, steradians, mil, angular_mil, angular_mils, m, meter, meters, kg, kilogram, kilograms, s, second, seconds, A, ampere, amperes, K, kelvin, kelvins, mol, ...
92575f32384e15d2406d88198893d416dc94548368bc37f85d34c2d269288835
from sympy.physics.units.definitions.dimension_definitions import current, temperature, amount_of_substance, \ luminous_intensity, angle, charge, voltage, impedance, conductance, capacitance, inductance, magnetic_density, \ magnetic_flux, information from sympy.core.numbers import (Rational, pi) from sympy.cor...
d95a2f65c64fb7034c9d6a591c87cca9acfd0a8628ff850506e7b4f6a6df1d64
from sympy.core.singleton import S from sympy.core.numbers import pi from sympy.physics.units import DimensionSystem, hertz, kilogram from sympy.physics.units.definitions import ( G, Hz, J, N, Pa, W, c, g, kg, m, s, meter, gram, second, newton, joule, watt, pascal) from sympy.physics.units.definitions.dimensi...
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import warnings from sympy.core.add import Add from sympy.core.function import (Function, diff) from sympy.core.numbers import (Number, Rational) from sympy.core.singleton import S from sympy.core.symbol import (Symbol, symbols) from sympy.functions.elementary.complexes import Abs from sympy.functions.elementary.expon...
25ea535adf3219db6fe5d43600a50a6fd7f1a6e62a2d63a9d283a6ce8bfdbdf6
from sympy.concrete.tests.test_sums_products import NS from sympy.core.singleton import S from sympy.functions.elementary.miscellaneous import sqrt from sympy.physics.units import convert_to, coulomb_constant, elementary_charge, gravitational_constant, planck from sympy.physics.units.definitions.unit_definitions impor...
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r""" N-dim array module for SymPy. Four classes are provided to handle N-dim arrays, given by the combinations dense/sparse (i.e. whether to store all elements or only the non-zero ones in memory) and mutable/immutable (immutable classes are SymPy objects, but cannot change after they have been created). Examples ===...
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import itertools from collections.abc import Iterable from sympy.core._print_helpers import Printable from sympy.core.containers import Tuple from sympy.core.function import diff from sympy.core.singleton import S from sympy.core.sympify import _sympify from sympy.tensor.array.ndim_array import NDimArray from sympy.t...
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from sympy.core.basic import Basic from sympy.core.containers import (Dict, Tuple) from sympy.core.expr import Expr from sympy.core.kind import Kind, NumberKind, UndefinedKind from sympy.core.numbers import Integer from sympy.core.singleton import S from sympy.core.sympify import sympify from sympy.external.gmpy import...
21ef2a54c272a764ecabb6958666693d7f17f8a4e517db9ac6441f4f3099f73f
import functools from typing import List from sympy.core.basic import Basic from sympy.core.containers import Tuple from sympy.core.singleton import S from sympy.core.sympify import _sympify from sympy.tensor.array.mutable_ndim_array import MutableNDimArray from sympy.tensor.array.ndim_array import NDimArray, Immutabl...
2726c7d8001b1063686f8e08eaf97bba28b2fd5a664783b880a09939fc033d61
from sympy.concrete.summations import Sum from sympy.core.function import expand from sympy.core.numbers import Integer from sympy.matrices.dense import (Matrix, eye) from sympy.tensor.indexed import Indexed from sympy.combinatorics import Permutation from sympy.core import S, Rational, Symbol, Basic, Add from sympy.co...
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import operator from functools import reduce, singledispatch from sympy.core.expr import Expr from sympy.core.singleton import S from sympy.matrices.expressions.hadamard import HadamardProduct from sympy.matrices.expressions.inverse import Inverse from sympy.matrices.expressions.matexpr import (MatrixExpr, MatrixSymbo...
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import random import concurrent.futures from collections.abc import Hashable from sympy.core.add import Add from sympy.core.function import (Function, diff, expand) from sympy.core.numbers import (E, Float, I, Integer, Rational, nan, oo, pi) from sympy.core.power import Pow from sympy.core.singleton import S from symp...
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from __future__ import annotations from functools import wraps from sympy.core import S, Integer, Basic, Mul, Add from sympy.core.assumptions import check_assumptions from sympy.core.decorators import call_highest_priority from sympy.core.expr import Expr, ExprBuilder from sympy.core.logic import FuzzyBool from sympy....
f6605e6806435fbf896d8b3ab4c0a536e183ca011354dfdd0974a51e6c808708
""" Some examples have been taken from: http://www.math.uwaterloo.ca/~hwolkowi//matrixcookbook.pdf """ from sympy import KroneckerProduct from sympy.combinatorics import Permutation from sympy.concrete.summations import Sum from sympy.core.numbers import Rational from sympy.core.singleton import S from sympy.core.symb...