Search Results for "algebra"

SymPy is an open source Python library for symbolic mathematics. Its goal is to become a full-featured computer algebra system (CAS) while maintaining the simplicity of its code. Written entirely in Python, SymPy is easy to use, comprehensible and easily extensible. It’s also very lightweight as it solely depends on mpmath, a pure Python library for arbitrary floating point arithmetic. SymPy has participated in every Google Summer of Code since 2007 and because of this has continuously improved. ...

...It is not a polished textbook full of full proofs; rather it offers clean definitions, theorem statements, intuitive motivations, and informal sketches of why things work, with the goal of building conceptual understanding. The coverage spans undergraduate and early graduate topics, designed to show how different areas of math fit together—linear algebra, analysis, topology, number theory, and more—without going deeply into every subtopic. Because it is written in LaTeX (with supporting Asymptote or other tools), readers can compile their own version, and the repository integrates diagrams, flowcharts, and supplementary files.

...It generates question-and-answer pairs across a wide range of mathematical topics typically found in school-level curricula, testing a model’s ability to reason about algebra, arithmetic, calculus, probability, and more. Each question is programmatically generated with structured templates to ensure clear logic and reproducibility. The dataset enables models to learn mathematical problem-solving through examples that involve both numeric and symbolic reasoning. Version 1.0 includes over 2 million examples per category, with training splits labeled as “easy,” “medium,” and “hard,” supporting curriculum-based learning strategies. ...

This is the main repository for the SciPy library, one of the core packages that make up the SciPy stack. SciPy is an open source software used in the fields of mathematics, science, and engineering, with modules for statistics, optimization, integration, linear algebra, signal and image processing, and many more. The SciPy library contains many of the user-friendly and efficient numerical routines, including those for numerical integration, interpolation, and optimization. SciPy is built to work with NumPy, a software that provides convenient and fast N-dimensional array manipulation. Both SciPy and NumPy run on all popular operating systems, are fast and easy to install, and are powerful yet easy to use. ...

GluCat is a generic library of C++ templates that implement universal Clifford algebras over the field of real numbers. The PyClical extension module for Python gives users an easy Python scripting interface for calculations in Clifford algebras. The name PyClical is an homage to Pertti Lounesto's CLICAL.

Un programa con interfaz simple, para factorizar/simplificar expresiones algebráicas. Nota 1: Se debe tener en cuenta la introducción de expresiones válidas en el contexto de operadores de python, dentro del programa se aclaran los tres operadores que podrían estar mal usados, y como deben escribirse. Nota 2: Se debe tener Python >= 3..11.6 instalado previamente, no se agrega python en el ejecutable de "Factorizer" justamente para que sea muy portable y preciso. Este programa usa...

Miramath is an open source project inspired by the MathCad mathematical application. The main user interface consists of a page into which mathematical expressions can be entered or edited and then evaluated.

***** THIS PROJECT HAS MOVED TO https://gitlab.in2p3.fr/sirocco/sdap/sdap-dev ***** ***** THIS PROJECT HAS MOVED TO https://gitlab.in2p3.fr/sirocco/sdap/sdap-dev ***** ***** THIS PROJECT HAS MOVED TO https://gitlab.in2p3.fr/sirocco/sdap/sdap-dev ***** Within the SIROCCO suite of numerical tools, the purpose of SDAP is to provide a flexible platform to carry out multivariate assimilation of geophysical data in a numerical model. The program is multi-grid (finite differences or finite elements), multi-algebra (plug-in analysis kernels), multi-model (simple standardized interface). The program supports reduced-order data assimilation methods, as well as Ensemble assimilation approaches such as the Ensemble Kalman Filter. Recent additions include extensions towards simultaneous assimilation and downscaling (AMICO project), and a toolbox for ensemble assessment (SCRUM project).

A symbolic framework for C++, Python and Octave implementing automatic differentiation by source code transformation in forward and reverse modes on sparse matrix-valued computational graphs.

This repository is a curated roadmap for learning the core mathematics used in computer science, machine learning, and data science without getting lost in unnecessary detours. It organizes topics like algebra, calculus, linear algebra, probability, and statistics into a pragmatic sequence that favors intuition and problem-solving over purely formal proofs. The materials emphasize short, high-leverage resources—video lectures, concise notes, and hands-on exercises—that help you build momentum quickly. It also suggests checkpoints and practice ideas so you can test comprehension and move forward with confidence. ...

math lib for .NET. n-dim arrays, complex numbers, linear algebra, FFT, sorting, cells- and logical arrays as well as 3D plotting classes help developing algorithms on every platform supporting .NET. Sources from SVN, binaries: http://ilnumerics.net

A lightweight C++ and Python library for finance, statistics and linear algebra. Finance features include compound rate present/future value, annuity, various present/future value coefficients ... Statistics features include mean, median, variance, standard deviation, covariance, correlation, linear regression, probabilities and random variates of various distributions ... Linear algebra features include matrix arithmetic, inverse, determinant, rank, linear system solution, lu/qr decomposition, svd, eigen values/vectors ... ...

This project examines techniques to model three-dimensional rigid body motion using the geometric algebra of Dual Quaternions and how such models compare to more traditional models when used in underconstrained filtering applications.

This program minimizes boolean expressions. After combining minterms as far as possible, the program draws a chart of prime implicants which the user can easily read and manipulate to remove any remaining superfluous implicants.

A Python environment for large and sparse linear and nonlinear optimization using intuitive interfaces to linear algebra tools and subproblem solvers written in low-level languages. It provides building blocks to experiment with new ideas and algorithms.

Linear Algebra Common Expressions (LACE) is a C++ templated library which allows you to operate with matricies and vectors inside your code as easy as on the whiteboard.

Improved version of the LibNumTh library (http://libnumth.sourceforge.net/), reimplementing its methods to work concurrently in a SMP environment. In addition, it is extended with support for linear algebra and numerical methods mechanisms.

Quick reference for switching between mathematical computation environments for computer algebra, numeric processing and data visualisation. Examples are Matlab, IDL, SPlus, and their open-source counterparts Octave, Scilab, Python+NumPy and R.

DragonFire is a compilation of various mathamatical formulas and theorms from algebra (and soon, Calculus). It shows users the formula for them to learn/use, or lets them enter data for DragonFire to compute.

A KDE based Computer Algebra System (CAS) that can also be used as an advanced replacement for KCalc. It is essentially a front end GUI for Maxima (and is easily extended to other CAS back-ends) and Gnuplot.

Symath is a symbolic algebra utility that manipulates expressions as you would by hand. The aim is to provide a utility for students to use to solve complex systems as well as learn how it is done.

A library for number theory, symbolic algebra, geometry, special functions, etc, written entirely in Python.

Port of Numerical Python to Jython (Java Python) to support all mathematical operations (linear algebra, matrices, DSP, wavelets, FFT, arrays...) and thus compete with commercial packages such as Matlab. It can be easily embedded in Java programs.

MatPy is a Python package for numerical linear algebra and plotting with a MatLab-like interface. It currently consists of wrappers around Numeric and Gnuplot packages, but eventually may be implemented directly in C/C++, or as interface to Octave.

PyNaC is a Python package for coordinate-free symbolic math, based on Geometric Algebra (Clifford Algebra) and Geometric Calculus (Clifford Analysis).