Search Results for "theory"
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Showing 95 open source projects for "theory"
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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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Oscar.jl
A comprehensive open source computer algebra system for computations
...In principle it can be installed and used like any other Julia package; doing so will take a couple of minutes. A comprehensive open source computer algebra system for computations in algebra, geometry, and number theory. -
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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. We believe there is a lot of potential for improving the performance of the library, and this is one of our top priorities. ... -
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NZMATH
Python Calculator on Number Theory, three-birds-one learning material
NZMATH is a Python calculator on number theory. It is freely available and distributed under the BSD license. All programs are written only by Python so that you can easily see their algorithmic number theory. You can get NZMATH with a single command: % python -m pip install -U nzmath Here % is the command line prompt of Windows or Unix/macOS. This release contains several program corrections and additions obtained by writing a programming "notebook" of the book 'Lectures on Elementary Number Theory' (TAKAGI, Teiji) in Python-NZMATH language. ... -
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Napkin
An Infinitely Large Napkin
...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. -
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Digraph3
A collection of python3 modules for Algorithmic Decision Theory
This collection of Python3 modules provides a large range of implemented decision aiding algorithms useful in the field of outranking digraphs based Multiple Criteria Decision Aid (MCDA), especially best choice, linear ranking and absolute or relative rating algorithms with multiple incommensurable criteria. Technical documentation and tutorials are available under the following link: https://digraph3.readthedocs.io/en/latest/ The tutorials introduce the main objects like digraphs,... -
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JGraphT is a free Java class library that provides mathematical graph-theory objects and algorithms. JGraphT supports a rich gallery of graphs and is designed to be powerful, extensible, and easy to use.
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Fractal Zoomer
A Fractal Zoomer with various functions.
An application that lets you render some of the most known fractal functions, like the Mandelbrot set and many more! It comes with alot of options to further enhance your fractal experience! Its easy to use and does not require installation. A java version higher than 1.8 is required to be installed. -
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Book-Reviews-In-Mathematica
Partial Differential Equations, Complex Analysis, Mathematica, Farlow
Cliff* Notes, Mathematica Evaluatable "Partial Differential Equations for Scientists and Engineers", Farlow "Physics for Scientists and Engineers", Serway "A First Course in Complex Analysis", Beck "PDE", Asmar "PDE, An Introduction", Colton "Elementary Differential Equations", 7th, Rainville "Ordinary Differential Equations", Tenenbaum "Linear Algebra And It's Applications", Lay "Swokowski Calculus", 5th, Swokowski "Chemistry Concepts & Problems, A Self-Teaching Guide",... -
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eprb_signal_correlations
Simulation of a two-channel Bell test, with closed-form proofs
Derivation, entirely by probability theory, of the correlation coefficient for a two-channel Bell test, with simulation in Ada and other languages. The Nobel Committe for Physics bans this program for subversive content. (Mirror of the repository at https://github.com/chemoelectric/eprb_signal_correlations) -
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Symja Java Computer Algebra
Symja - Java computer algebra language & symbolic math library
Symja - computer algebra language and Java symbolic math library. Moved to https://github.com/axkr/symja_android_library. The Android App can be found at: https://github.com/axkr/symja-example -
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RootGraph
Graphic interface with algorithms to compute line and root graphs
Simple and intuitive graphic interface for graph theory with algorithms to compute line and root graphs of a given graph. - Double click to add a new node. - Left click a node and drag to change the position of the node. - Select a node with left click and add an edge with the next node you select. - Right click a node to delete it. Made in C++ using the wxWidgets library. -
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book
A textbook on informal homotopy type theory
The canonical Homotopy Type Theory informal textbook, initiated at the Institute for Advanced Study (2012–13) under the Univalent Foundations project. It presents the theory pedagogically without requiring technical proof assistant use. -
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Algorithms Math Models
MATLAB implementations of algorithms
...The repository gathers implementations and case studies across many topics commonly used in contest solutions: optimization (linear, integer, goal and nonlinear programming), heuristic and metaheuristic methods (simulated annealing, genetic algorithms, immune algorithms), neural networks and time-series methods, interpolation and regression, graph theory, cellular automata, grey systems, fuzzy models, partial/ordinary differential equations, and multivariate analysis, among others. The codebase is organized into topic folders (e.g., HeuristicAlgorithm, IntegerProgramming, NeuralNetwork, TimeSeries) and includes dozens of worked examples and links to textbook/source materials that the author used to assemble the collection. -
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A library of tools for doing computation in game theory.
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GenReg
Generation of regular graphs
Efficient, complete and non-redundant generation of regular graphs as described in M. Meringer: Fast Generation of Regular Graphs and Construction of Cages. Journal of Graph Theory 30, 137-146, 1999. -
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Combinatorial Game Suite
A computer algebra system for research in combinatorial game theory.
STARTING WITH VERSION 2.0, CGSUITE HAS MOVED TO GITHUB. The latest version can be found at the CGSuite homepage: https://www.cgsuite.org/ This page is preserved for archival purposes only and is no longer being maintained. -
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smib is one of the smallest and simplest computer algebra system in the world, but simple does not mean simplistic. Using smib you can explore many branches of mathematics (e.g. number theory, algebra, calculus, numerical analysis, differential geometry, probability and stochastic calculus) and also some physics (e.g. electromagnetism and quantum mechanics).. By simple you can understand easy to program (smib is a dynamically typed language, with strong affinity to recursivity, programs are often short and powerful and maybe useful for teaching), and also easy to modify (source code is free, written in C language, and based on notions of stacks and lists). ...
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Finite Transform Library
A Library is for Finite Transforms
The Library is for Finite Transforms such as the Number Theoretic Transform (NTT) and Finite Radon Transform (FRT). Current modules include NTTW for NTTs with high resolution (microsecond) timing, basic array and imaging. The transforms are optimised for performance. -
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CCruncher
Open-Source Project for Credit Risk Modeling
CCruncher is a project for quantifying portfolio credit risk using the copula approach. It is a framework consisting of two elements: a technical document that explains the theory, and a software program that implements it. CCruncher evaluates the portfolio credit risk by sampling the portfolio loss distribution and computing the Expected Loss (EL), Value at Risk (VaR) and Expected Shortfall (ES) statistics. The portfolio losses are obtained simulating the default times of obligors and simulating the EADs and LGDs of their assets. -
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A shell for using the methods of Contextual Logic to do qualitative data analysis, mathematical research on the theory underlying Conceptual Knowledge Processing, or learning Formal Concept Analysis. It uses the framework provided by the Tockit project..
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libnova
Celestial Mechanics Engine
libnova is a general purpose, double precision, celestial mechanics, astrometry and astrodynamics library. -
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Regina
Software for 3-manifold topology and normal surface theory
A suite of mathematical software for 3-manifold topologists, focusing on the study of 3-manifold triangulations, normal surfaces and angle structures.
