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Python library for symbolic computation
as a library to other applications, or live on the web as SymPy Live or SymPy Gamma. SymPy is simple to install and to inspect because it is written entirely
SymPy
General-purpose programming language
scikit-multiflow SciPy SimpleITK spaCy Sphinx SQLAlchemy SQLObject Storm SymPy TensorFlow Theano Tkinter TomoPy đ€ Transformers Twisted Transformers Veusz
Python_(programming_language)
into C; and the PARI C library allows C programs to use PARI/GP functions. Sympy is a computer algebra system written in Python. Xcas/Giac is an open-source
List of open-source software for mathematics
List_of_open-source_software_for_mathematics
Pandas, SciPy, SimPy, Matplotlib, PyDy, OpenCV, OpenMDAO, Scikit-learn, SymPy,TensorFlow, PyTorch Product lifecycle Vehicle dynamics Awesome-Automotive
List of automotive engineering software
List_of_automotive_engineering_software
Mathematical method in numerical analysis
+1}\left(x_{i}\right)\right]^{2}}}.} The following Python code with the SymPy library will allow for calculation of the values of x i {\displaystyle x_{i}}
GaussâLaguerre_quadrature
Type of functional equation (mathematics)
Mathematica: DSolve[] Maxima: ode2(equation, y, x) SageMath: desolve() SymPy: sympy.solvers.ode.dsolve(equation) Xcas: desolve(y'=k*y,y) Exact differential
Differential_equation
Mathematical formula involving a given set of operations
expressions for numerical values, including RIES, identify in Maple and SymPy, Plouffe's Inverter, and the Inverse Symbolic Calculator. Algebraic solution â
Closed-form_expression
Software used in mathematical applications
PARI/GP REDUCE SageMath Scilab SMath Studio Symbolic Math Toolbox (MATLAB) SymPy Wolfram Alpha Xcas / Giac Yacas A solver is a piece of mathematical software
Mathematical_software
significantly developed symbolic functionality in each of the systems. ^ via SymPy ^ via qepcad optional package Those which do not "edit equations" may have
List of computer algebra systems
List_of_computer_algebra_systems
desktop publishing software DrRacket IDE with Scribble List of TeX extensions SymPy â can create LaTeX from Python mathematical expressions GNU TeXmacs LyX
Comparison_of_TeX_editors
Algorithm for computing Gröbner bases
Rocq (formerly named Coq). In the SymPy library for Python, the (improved) Buchberger algorithm is implemented as sympy.polys.polytools.groebner(). KnuthâBendix
Buchberger's_algorithm
Open-source Python library for scientific computing
open-source mathematical libraries Comparison of statistical packages SageMath SymPy HiGHS optimization solver "Release 1.18.1". 21 August 2026. Retrieved 22
SciPy
Elementwise product of two matrices
Hadamard product, and uses a@b or a.matmul(b) for the matrix product. With the SymPy symbolic library, multiplication of array objects as either a*b or a@b will
Hadamard_product_(matrices)
Correspondence between quaternions and 3D rotations
quaternions Quaternion.js Ceres Solver SciPy spatial.transform.Rotation library SymPy symbolic mathematics library numpy-quaternion library Universal Scene Description
Quaternions and spatial rotation
Quaternions_and_spatial_rotation
Python distribution
scikit-multiflow SciPy SimpleITK spaCy Sphinx SQLAlchemy SQLObject Storm SymPy TensorFlow Theano Tkinter TomoPy đ€ Transformers Twisted Transformers Veusz
Anaconda (Python distribution)
Anaconda_(Python_distribution)
Pseudorandom number generator
generator.""" assert p1 % 4 == 3 assert p2 % 4 == 3 assert sympy.isprime(p1 // 2) assert sympy.isprime(p2 // 2) n = p1 * p2 numbers = [] for _ in range(iterations):
Blum_Blum_Shub
Mathematical software
systems include Axiom, GAP, Maxima, Magma, Maple, Mathematica, SageMath, and SymPy. In the 1950s, while computers were mainly used for numerical computations
Computer_algebra_system
Advanced interactive shell for Python
Parallel computing - IPython docs". "SciPy Stack". "Printing â SymPy 1.1 documentation". docs.sympy.org. Retrieved 11 April 2018. McKinney, Wes (2012). "Chapter
IPython
Python web framework
scikit-multiflow SciPy SimpleITK spaCy Sphinx SQLAlchemy SQLObject Storm SymPy TensorFlow Theano Tkinter TomoPy đ€ Transformers Twisted Transformers Veusz
Flask_(web_framework)
Programming language and environment developed by Wolfram Research
as of April 2020[update] include Symja in Java, expreduce in Golang, and SymPy-based Mathics. These implementations focus on the core language and the
Wolfram_Language
application which integrates the work of nearly 100 free software projects. SymPy â a symbolic mathematical calculations package. PyMC â python module containing
List_of_Python_software
Python library for machine learning
scikit-multiflow SciPy SimpleITK spaCy Sphinx SQLAlchemy SQLObject Storm SymPy TensorFlow Theano Tkinter TomoPy đ€ Transformers Twisted Transformers Veusz
Scikit-learn
Python library for numerical programming
scikit-multiflow SciPy SimpleITK spaCy Sphinx SQLAlchemy SQLObject Storm SymPy TensorFlow Theano Tkinter TomoPy đ€ Transformers Twisted Transformers Veusz
NumPy
Probabilistic primality testing algorithm
at the Wayback Machine number theory calculation system in Python "SymPy". SymPy - A Python library for symbolic mathematics. GNU MP 6.2.0 Prime Testing
BaillieâPSW_primality_test
Axiom CoCoA FriCAS GAP KAlgebra Mathomatic Maxima PARI/GP Reduce SageMath SymPy Xcas Yacas C.a.R. CaRMetal Cinderella Desmos DrGeo GeoGebra Kig Cantor Euler
List of free educational software
List_of_free_educational_software
IDE for scientific programming in Python
scientific Python stack, including NumPy, SciPy, Matplotlib, pandas, IPython, SymPy and Cython, as well as other open-source software. Spyder is extensible
Spyder_(software)
Maxima Normaliz OpenAxiom PARI/GP Reduce SageMath Singular SymbolicC++ SymPy Xcas Yacas Meep Elmer FEM solver Numerical Electromagnetics Code ADCIRC
List of free and open-source software packages
List_of_free_and_open-source_software_packages
Relationship between programs and proofs
(all of which can be run as code execution, along with provers such as Sympy) produces reasoning that is verified rather than merely executed. AlphaProof
CurryâHoward_correspondence
Mathematical visualization GPL SageMath Mathematical visualization GPLv3 SymPy Symbolic arithmetic BSD Wolfram Mathematica & Wolfram Language Mathematical
List of mathematical art software
List_of_mathematical_art_software
Python library for data analysis
scikit-multiflow SciPy SimpleITK spaCy Sphinx SQLAlchemy SQLObject Storm SymPy TensorFlow Theano Tkinter TomoPy đ€ Transformers Twisted Transformers Veusz
Pandas_(software)
Differential equation containing derivatives with respect to only one variable
a proprietary application primarily intended for symbolic calculations. SymPy, a Python package that can solve ODEs symbolically Julia (programming language)
Ordinary differential equation
Ordinary_differential_equation
Optimized math routines developed by Intel
many pre-compiled mathematical applications on Windows (such as NumPy, SymPy). Although relying on the MKL, MATLAB implemented a workaround starting
Math_Kernel_Library
Computer algebra system
mpmath, Arb Arithmetic geometry PARI/GP, NTL, mwrank, ECM Calculus Maxima, SymPy, GiNaC, Giac, FriCAS Combinatorics Symmetrica, Sage-Combinat Linear algebra
SageMath
Methods for numerical approximations
(similar to S-PLUS), Julia, and Python with libraries such as NumPy, SciPy and SymPy. Performance varies widely: while vector and matrix operations are usually
Numerical_analysis
Python web framework
scikit-multiflow SciPy SimpleITK spaCy Sphinx SQLAlchemy SQLObject Storm SymPy TensorFlow Theano Tkinter TomoPy đ€ Transformers Twisted Transformers Veusz
Django_(web_framework)
calculator with autocomplete. SageMath, an open-source computer algebra system SymPy, a CAS Symbolic Math toolbox (MATLAB) Windows Calculator, since Windows
List of arbitrary-precision arithmetic software
List_of_arbitrary-precision_arithmetic_software
Specialized notation for multivariable calculus
open-source Mathematica package that has some matrix calculus functionality SymPy supports symbolic matrix derivatives in its matrix expression module, as
Matrix_calculus
Python MIT SQLAlchemy Python MIT SQLObject Python MIT Storm Python MIT SymPy Python BSD-3 TensorFlow Python Apache 2.0 Theano Python MIT TomoPy Python
List of open-source code libraries
List_of_open-source_code_libraries
Intrinsic quantum property of particles
is a sign ambiguity. The present convention is used by software such as SymPy; while many physics textbooks, such as Sakurai and Griffiths, prefer to
Spin_(physics)
Varying methods used to calculate pi
arbitrary-precision arithmetic, for instance Class Library for Numbers, MPFR and SymPy. Programs designed for calculating Ï may have better performance than general-purpose
Approximations_of_pi
Method for evaluating indefinite integrals
substitution u = x + x + ln ⥠x {\displaystyle u=x+{\sqrt {x+\ln x}}} (SymPy can solve it while FriCAS fails with "implementation incomplete (constant
Risch_algorithm
different set of scientific tools SymPy, a library based on New BSD license for symbolic computation. Features of Sympy range from basic symbolic arithmetic
List_of_numerical_libraries
Mathematical construct in computer algebra
CoCoA, GAP, Macaulay 2, Magma, Maple, Mathematica, SINGULAR, SageMath and SymPy. When F4 is available, it is generally much more efficient than Buchberger's
Gröbner_basis
Algorithms for computing Gröbner bases
SINGULAR computer algebra system; the SageMath computer algebra system. in SymPy Python package. The previously intractable "cyclic 10" problem was solved
FaugĂšre's F4 and F5 algorithms
FaugĂšre's_F4_and_F5_algorithms
Collection of open-source Python software tools for computational biology
scikit-multiflow SciPy SimpleITK spaCy Sphinx SQLAlchemy SQLObject Storm SymPy TensorFlow Theano Tkinter TomoPy đ€ Transformers Twisted Transformers Veusz
Biopython
List of programming language comparisons
reshape([x11, x12, ...], [new-dims]) m = transpose(m) m[i,j] m[*,j] m[j,*] SymPy m = Matrix(...) m.det() m.T m[i-1,j-1] m.col(j-1) m.row(i-1) m.eigenvals()
Comparison of programming languages (array)
Comparison_of_programming_languages_(array)
visualization. Python with well-known scientific computing packages: NumPy, SymPy and SciPy. R is a widely used system with a focus on data manipulation and
List of numerical-analysis software
List_of_numerical-analysis_software
Inverse of a finite difference
method for the M/M/1 transient solution. "SymPy 1.14.0 documentation â Concrete module: gosper_sum". SymPy. Retrieved 2026-06-16. Weisstein, Eric W. "Gosper's
Indefinite_sum
Mathematical function
GNU Octave, pbeta (probability of beta distribution) in R and betainc in SymPy. In SciPy, special.betainc computes the regularized incomplete beta functionâwhich
Beta_function
Sums in quantum mathematics
Calculator".{{cite web}}: CS1 maint: deprecated archival service (link) SymPy. "A Python Library for Symbolic Mathematics". (accurate; python) WolframAlpha
6-j_symbol
Origin and evolution of the symbols used to write equations and formulas
determine what inputs cause each part of a program to execute. Mathematica and SymPy are examples of computational software programs based on symbolic mathematics
History of mathematical notation
History_of_mathematical_notation
Statistical Lab Yes 2005 May 2, 2011 / 3.81 Systat Proprietary No 1979 Statistics SymPy BSD Yes 2007 September 14, 2018 / 1.3 Linux, macOS, Windows Python library
List of information graphics software
List_of_information_graphics_software
Benchmark for language models on software engineering tasks
pytest, requests, scikit-learn, seaborn, sphinx, sympy and xarray. Django alone supplies 850 of them, sympy another 386. The system being tested is shown
SWE-bench
Special mathematical function
implemented as LerchPhi in Maple and Mathematica, and as lerchphi in mpmath and SymPy. Lerch, Mathias (1887), "Note sur la fonction K ( w , x , s ) = â k = 0
Lerch_transcendent
Class of mathematical software
with Mathematica), released in 2024 for Python 3.12 and later. It utilizes SymPy for symbolic computations and Jupyter as a notebook interface. OGRePy allows
Tensor_software
Mathematical theorem
been implemented in the computer algebra systems Mathematica, SageMath, SymPy, Xcas etc. All three methods described below follow the excellent presentation
Vincent's_theorem
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