Search Results for "algebraic"
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Showing 50 open source projects for "algebraic"
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Algebraic graphs
Algebraic graphs
Alga is a library for algebraic construction and manipulation of graphs in Haskell. See this Haskell Symposium paper and the corresponding talk for the motivation behind the library, the underlying theory and implementation details. We can give semantics to the constructors in terms of the pair (V, E) of graph vertices and edges. Alga can handle graphs comprising millions of vertices and billions of edges in a matter of seconds, which is fast enough for many applications. -
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Hecke.jl
Computational algebraic number theory
Hecke is a software package for algebraic number theory maintained by Claus Fieker, Tommy Hofmann and Carlo Sircana. It is written in julia and is based on the computer algebra packages Nemo and AbstractAlgebra. Hecke is part of the OSCAR project and the development is supported by the Deutsche Forschungsgemeinschaft DFG within the Collaborative Research Center TRR 195. -
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DifferentialEquations.jl
Multi-language suite for high-performance solvers of equations
This is a suite for numerically solving differential equations written in Julia and available for use in Julia, Python, and R. The purpose of this package is to supply efficient Julia implementations of solvers for various differential equations. The well-optimized DifferentialEquations solvers benchmark as some of the fastest implementations, using classic algorithms and ones from recent research which routinely outperform the “standard” C/Fortran methods, and include algorithms optimized... -
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OrdinaryDiffEq.jl
High performance ordinary differential equation (ODE)
This is a suite for numerically solving differential equations written in Julia and available for use in Julia, Python, and R. The purpose of this package is to supply efficient Julia implementations of solvers for various differential equations. The well-optimized DifferentialEquations solvers benchmark as some of the fastest implementations, using classic algorithms and ones from recent research that routinely outperform the “standard” C/Fortran methods, and include algorithms optimized... -
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REDUCE
A Portable General-Purpose Computer Algebra System
REDUCE is an interactive system for general algebraic computations of interest to mathematicians, scientists and engineers. It can be used interactively for simple calculations but also provides a flexible and expressive user programming language. The development of the REDUCE computer algebra system was started in the 1960s by Anthony C. Hearn. Since then, many scientists from all over the world have contributed to its development. -
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Calcoo is a scientific calculator (with both RPN and algebraic modes) designed to provide maximum usability.
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Multifario is a C API for computing manifolds. The manifold is represented as an atlas of charts whose domains are balls. Multifario can compute implicitly defined manifolds and invariant manifolds. See also https://multifario.sourceforge.io/ Keywords: Continuation, Bifurcation.
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MathSteps
Step by step math solutions for everyone
mathsteps is a JavaScript library that performs step-by-step algebraic simplification and equation solving for expressions provided as strings. It exposes functions to simplify expressions and to solve equations, returning a structured sequence of steps that detail each transformation. For every step, mathsteps reports the original node, the change type, the resulting node, and any substeps, which makes it useful for education, debugging, and explainable math tooling. -
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Fantasy Land Specification
Specification for interoperability of JavaScript algebraic structures
This project specifies interoperability of common algebraic structures like Setoid, Ord, Semigroupoid, Category, Semigroup, Monoid, Group, Filterable, Functor, Contravariant, Apply, Applicative, etc. An algebra is a set of values, a set of operators that it is closed under and some laws it must obey. Each Fantasy Land algebra is a separate specification. An algebra may have dependencies on other algebras which must be implemented. -
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BitLogic
Simple Java computer algebra calculator
A calculator that solves many types of problems including solving equations computing derivatives and integrals simplifying expressions graphing equations 2d and 3d reverse polish notation, algebraic and word based interpreter infinite writing board for writing out equations requires java 11 or more -
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Ganja.js
Javascript Geometric Algebra Generator for Javascript, c++
Ganja.js is a Geometric Algebra code generator for javascript. It generates Clifford algebras and sub-algebras of any signature and implements operator overloading and algebraic constants. Mathematically, an algebra generated by ganja.js is a graded exterior (Grassmann) algebra (or one of its subalgebras) with a non-metric outer product, extended (Clifford) with geometric and contraction inner products, a Poincare duality operator and the main involutions and morphisms. Technically, ganja.js is a code generator producing classes that reificate algebraic literals and expressions by using reflection, a built-in tokenizer and a simple AST translator to rewrite functions containing algebraic constructs to their procedural counterparts. ganja.js now has a nodejs based templated source generator that allows the creation of arbitrary algebras for C++, C#, python and rust. ... -
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An R package for metrology. metRology provides classes and calculation and plotting functions for metrology applications, including measurement uncertainty estimation and (eventually) inter-laboratory metrology comparison studies.
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Finita
Package for solving PDE systems numerically
Finita is a software package for solving complex algebraic/differential systems of equations numerically using various grid methods. -
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Arageli is a C++ library for computations in arithmetic, algebra, geometry, linear and integer linear programming. Arageli provides routines and classes that support precise, i.e. symbolic or algebraic, computations.
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Advanced Numerical Instruments 3D
Advanced numerical instruments: adaptive meshing, FE methods, solvers
Ani3D provides portable libraries for each step in the numerical solution of systems of PDEs with variable tensorial coefficients: (1) unstructured adaptive mesh generation, (2) metric-based mesh adaptation, (3) finite element discretization and interpolation, (4) algebraic solvers. -
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Witchcraft
Monads and other dark magic for Elixir
...Because the implementation leans on Elixir protocols, you can extend Witchcraft’s abstractions to your own structs without invasive inheritance hierarchies. It promotes predictable, law-abiding behavior through property-based testing helpers and a focus on algebraic reasoning. Teams reach for Witchcraft when they want to structure business logic with reusable, mathematically grounded patterns that remain idiomatic to the BEAM. -
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galculator
galculator is a scientific calculator in algebraic mode and RPN
galculator is a GTK 2 / GTK 3 based scientific calculator supporting algebraic mode as well as RPN. Features include arithmetic precedence handling, mathematical functions, different number bases (DEC, HEX, BIN, OCT) and angle bases (radiant, degree, and grad). Please note: This project page at sf.net reflects the state of the project up to August 2015. Beginning in September 2015, the project homepage was moved to http://galculator.mnim.org, with the source code repositories and issue trackers hosted at https://github.com/galculator/galculator. -
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algebrain
Math Parser for Java
Moved to GitHub https://github.com/fedups Algebraic equation processing at run time for Java programs. Supports variables, functions with parameters, rate table lookups, an embedded "if" function... Infinitely extensible, very small footprint. -
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Interdependent Java frameworks: AMath (abstract numbers support); AFuzzy (fuzzy numbers and methods); AMathSys (flexible solvers of linear and nonlinear algebraic and differential equations); ADSM (multi-criteria ranking and grading of alternatives).
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QtoNum
python calculus library with imprecise and precise representations
QtoNum is a calculator for qualitative values (-, +), intervals and crisp numbers with arbitrary precision. QtoNum also handles infinitesimals and infinites. All these types can be mixed in expressions and conversions are performed automatically. QtoNum can be used as an interactive calculator (command line) and as a calculus library. -
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NKA
Nonlinear Krylov acceleration of fixed-point and Newton-like methods
...It was only recently recognized (2011) that NLK is essentially equivalent to Anderson Acceleration for a specific choice of mixing parameter. NLK was independently devised in the late 1980's using a very different approach, and though it leads to the same algebraic method, NLK's organization is somewhat different, and arguably superior. The NLK approach also provides clear rationale for the proper choice of Anderson's arbitrary mixing parameter. -
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A module containing python wrappers for the SUite of Non-linear DIfferential/ALgebraic Solvers (SUNDIALS), using ctypes.
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GiNaCRA is a C++ library providing data structures and algorithms for Real Algebraic computations. GiNaCRA is based on the efficient C++ library GiNaC including support for symbolic manipulations on polynomials.
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aal
The Advanced Algebraic Language.
The Advanced Algebraic Language (AAL) is a very dynamic programming language designed to fill the void that has appeared between mainstream languages and algebra. As a result its main focus is ease of use for math problems. To download AAL check out the source code repository. There are versions available for windows and linux with both 32 and 64 bit native binaries: http://svn.code.sf.net/p/aal-lang/code/trunk/bin/ -
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Manufactured Analytical Solution Abstraction (MASA): a library for applying the Method of Manufactured Solutions to verification of numerical software used for solving systems of nonlinear algebraic and differential equations.
