Search Results for "mathematical"
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Showing 66 open source projects for "mathematical"
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Nemo.jl
Julia bindings for various mathematical libraries (including flint2)
Nemo is a computer algebra package for the Julia programming language. It aims to cover commutative algebra, number theory and group theory. Julia bindings for various mathematical libraries (including flint2) -
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BasicBSpline.jl
Basic (mathematical) operations for B-spline functions
Basic (mathematical) operations for B-spline functions and related things with Julia. -
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Measurements.jl
Error propagation calculator and library for physical measurements
...It supports real and complex numbers with uncertainty, arbitrary precision calculations, operations with arrays, and numerical integration. Physical measures are typically reported with an error, a quantification of the uncertainty of the accuracy of the measurement. Whenever you perform mathematical operations involving these quantities you have also to propagate the uncertainty, so that the resulting number will also have an attached error to quantify the confidence about its accuracy. Measurements.jl relieves you from the hassle of propagating uncertainties coming from physical measurements, when performing mathematical operations involving them. ... -
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SciMLBase.jl
The Base interface of the SciML ecosystem
SciMLBase.jl is the core interface definition of the SciML ecosystem. It is a low-dependency library made to be depended on by the downstream libraries to supply the common interface and allow for the interexchange of mathematical problems. The SciML common interface ties together the numerical solvers of the Julia package ecosystem into a single unified interface. It is designed for maximal efficiency and parallelism, while incorporating essential features for large-scale scientific machine learning such as differentiability, composability, and sparsity. -
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AppleAccelerate.jl
Julia interface to the macOS Accelerate framework
...At the moment, this package provides access to Accelerate BLAS and LAPACK using the libblastrampoline framework, an interface to the array-oriented functions, which provide a vectorized form for many common mathematical functions. The performance is significantly better than using standard libm functions in some cases, though there does appear to be some reduced accuracy. -
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InfiniteOpt.jl
An intuitive modeling interface for infinite-dimensional optimization
A JuMP extension for expressing and solving infinite-dimensional optimization problems. InfiniteOpt.jl provides a general mathematical abstraction to express and solve infinite-dimensional optimization problems (i.e., problems with decision functions). Such problems stem from areas such as space-time programming and stochastic programming. InfiniteOpt is meant to facilitate intuitive model definition, automatic transcription into solvable models, permit a wide range of user-defined extensions/behavior, and more. -
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Surrogates.jl
Surrogate modeling and optimization for scientific machine learning
A surrogate model is an approximation method that mimics the behavior of a computationally expensive simulation. In more mathematical terms: suppose we are attempting to optimize a function f(p), but each calculation of f is very expensive. It may be the case we need to solve a PDE for each point or use advanced numerical linear algebra machinery, which is usually costly. The idea is then to develop a surrogate model g which approximates f by training on previous data collected from evaluations of f. -
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The Julia Programming Language
High-level, high-performance dynamic language for technical computing
...Having a high level syntax, Julia is easy to use for programmers of every level and background. Julia has more than 2,800 community-registered packages including various mathematical libraries, data manipulation tools, and packages for general purpose computing. Libraries from Python, R, C/Fortran, C++, and Java can also be used. -
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Unitful.jl
Physical quantities with arbitrary units
...We also want to minimize or in some cases eliminate the run-time penalty of units. There should be facilities for dimensional analysis. All of this should integrate easily with the usual mathematical operations and collections that are found in Julia base. -
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BinaryBuilder
Binary Dependency Builder for Julia
...Package installation is merely downloading, verifying package integrity and extracting that tarball on the user's computer. No more compiling on user's machines. No more struggling with system package managers. No more needing sudo access to install that little mathematical optimization library. -
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Convex.jl
A Julia package for disciplined convex programming
Convex.jl is a Julia package for Disciplined Convex Programming (DCP). Convex.jl makes it easy to describe optimization problems in a natural, mathematical syntax, and to solve those problems using a variety of different (commercial and open-source) solvers. Convex.jl works by transforming the problem—which possibly has nonsmooth, nonlinear constructions like the nuclear norm, the log determinant, and so forth—into a linear optimization problem subject to conic constraints. This reformulation often involves adding auxiliary variables and is called an "extended formulation", since the original problem has been extended with additional variables. ... -
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Optimization.jl
Mathematical Optimization in Julia
Optimization.jl provides the easiest way to create an optimization problem and solve it. It enables rapid prototyping and experimentation with minimal syntax overhead by providing a uniform interface to >25 optimization libraries, hence 100+ optimization solvers encompassing almost all classes of optimization algorithms such as global, mixed-integer, non-convex, second-order local, constrained, etc. It allows you to choose an Automatic Differentiation (AD) backend by simply passing an... -
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Gridap.jl
Grid-based approximation of partial differential equations in Julia
Gridap provides a set of tools for the grid-based approximation of partial differential equations (PDEs) written in the Julia programming language. The library currently supports linear and nonlinear PDE systems for scalar and vector fields, single and multi-field problems, conforming and nonconforming finite element (FE) discretizations, on structured and unstructured meshes of simplices and n-cubes. It also provides methods for time integration. Gridap is extensible and modular. One can... -
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Maxima -- GPL CAS based on DOE-MACSYMA
Computer Algebra System written in Common Lisp
Maxima is a computer algebra system comparable to commercial systems like Mathematica and Maple. It emphasizes symbolic mathematical computation: algebra, trigonometry, calculus, and much more. For example, Maxima solves x^2-r*x-s^2-r*s=0, giving the symbolic results [x=r+s, x=-s]. It can also calculate with exact integers and fractions, native floating-point, and high-precision big floats. Maxima has user-friendly front-ends, an online manual, plotting commands, and numerical libraries. ... -
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MathMod
MathMod is a mathematical modeling software
MathMod is a portable interactive plotting and graphing program for Windows, Linux, MacOSX and many other platforms. MathMod allows to plot 3D mathematical surfaces, described by implicit or parametric equations, and offers a very large database of model samples that can be generated with it. It's Free and Open Source. Change-log for MathMod-13.0 (15/11/2025) 1) Scripts generator to add thickness to iso/parametric surfaces 2) Undo/Redo commands for navigating through previous scripts 3) New scripts, Bug-fixes, code optimization and documentation update For a complete list of changes made during the course of development, please visit: https://github.com/users/parisolab/projects/2 -
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JPlotter
Plotter for math functions y=f(x)
JPlotter is an open source math plotter that can draw graphs of arbitrary mathematical functions. Some of the special features are plotting of the derivatives, area calculation, plotting of directional fields of differential equations and plotting of phase and amplitude graph of complex functions. -
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NumeRe
Framework for numerical computations, data analysis and visualisation
Curve fitting | Data analysis | Plotting | Matrix operations | FFT | Extensible framework | Multiple file formats | Programmable | Open source | Free for everyone NumeRe: Framework for Numerical Computation is a numerical framework written for Microsoft Windows(R) and released under the GNU GPL v3 for solving and visualizing mathematical and physical problems numerically. Keep simple things simple: You want to plot a sine function? Just enter 'plot sin(x)'. You want to load some data? Enter 'load "path/to/your/file"' or drag the file into the terminal. You need to fit a function to the data? Enter 'fit data() -with=YOURFUNCTION(x)' Need assistance? Enter 'help topic' into the terminal or simply press [F1]. ... -
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K3DSurf (now MathMod) is a program to visualize and manipulate Mathematical models in three, four, five and six dimensions. K3DSurf supports Parametric equations and Isosurfaces. ****** Welcome to the realm of complex numbers! Change-log for MathMod-11.1 (16/06/2021) 1) Support of graphing functions with complex numbers Z=u+iv in 3D and 4D spaces (demo scripts: "Complex3D_xx" and "Complex4D_Saddle") 2) Added support for HSV (hue, saturation, brightness) coloring model (script: "Complex_Domain_Coloring") 3) Texture definitions (RGB and HSV) for parametric surfaces can now be expressed as functions of complex numbers 4) Added a software implementation for the OpenGL variable gl_FrontFacing (fixed an issue with GPU drivers on MacOSX Catalina). ...
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fastPTOptimizer
a fork of the Panorama Tools / libpano13 with a fast PTOptimizer
...fastPTOptimizer decreases the processing time for large panoramas (a speedup factor of 100 or more can be achieved). This is possible by exploiting the sparseness of the mathematical optimization problem. The original PTOptimizer uses the well proven Levenberg Marquardt optimizer lmdif from the minpack software. fastPTOptimizer uses a "sparse" optimizer lmdif_sparse that uses the SuiteSparse library. -
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AlphaPlot
Interactive scientific graphing and data analysis software.
...The spreadsheets as well as graphs and note windows are gathered in a project and can be organized using folders. The built-in analysis operations include column/row statistics, (de)convolution, FFT and FFT-based filters. Scripting Console support in-place evaluation of mathematical expressions and scrtipting interface to ECMAScript like dynamic scripting language(java script). The GUI of the application uses the Qt toolkit. Periodic test builds are available here http://alphaplot.sourceforge.net/test-build.html -
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DBSolveOptimum
The software for systems biology/pharmacology modeling
DBSolveOptimum is a stand-alone software tool for the construction and analysis of mathematical models of biological systems. It is a succession and extension of DBSolve 5 and DBSolve 7, which were popular tools for systems biology. In addition to the capabilities of these software packages, DBSolveOptimum is implemented with new tools for extended data analysis and multiple simulations, which are important for simulation of virtual clinical trials and application of modern modeling techniques, like quantitative systems pharmacology, to problems arising in drug research and development. ... -
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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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CANStream
An applicaton for CAN bus coms development, testing and validation
CANStream is a .NET application intended to be used for CAN (Controller Area Network) bus communication development, testing and validation. CANStream allows to extensively test any system using CAN communication by sending and receiving CAN frames. Thanks to its powerful built-in mathematical expression evaluator, CANStream can also behave as a real control system feeding back the test device or commanding a third party device with context sensible data. Extended data logging and data analysis features of CANStream provide a comprehensive solution for testing and results analysis CANStream extensively uses the PCAN-Basic API developed by PEAK System for the PCAN-USB adapter You will therefore need to have PCAN-USB adapter and at least one free USB port available to make a complete use of CANStream. ... -
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Py3DN
Morphometric analysis and visualization of the 3D structure of neurons
Py3DN, is an open-source solution providing innovative tools to analyze 3D data collected with the widely used commercial system Neurolucida (MBF). It allows the construction of mathematical representations of neuronal topology, visualization and a variety of morphometric analysis on the neuronal structures. Above all, it provides a flexible environment where new types of analyses can be easily set up allowing total freedom to test new hypotheses. The application was developed in Python and uses Blender (an open source program) to produce detailed 3D representations of raw and processed data. ... -
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wxEcMath
Easy mathematics in wxWidgets
Tiny library written in C++/wxWidgets designed to manage mathematical objects : parser of expressions, plots, matrixes and complex numbers. Ansi and Unicode are supported. Documentation and rich samples are provided. Compiles with MSVC, BCC, GCC and Clang. Now on Git.
