Search Results for "complex"
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Showing 93 open source projects for "complex"
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Swift Numerics
Advanced mathematical types and functions for Swift
Swift Numerics is a foundational library that extends the Swift standard library with essential numerical protocols, types, and functions needed for scientific and systems programming. It defines generic abstractions over real and complex numbers so algorithms can be written once and work across concrete floating-point types. The package includes RealModule utilities and a full Complex type with the expected arithmetic and transcendental functions, bridging a long-standing gap for numerics in Swift. API design follows Swift’s emphasis on value semantics and protocol-oriented programming, enabling compiler optimizations and predictable performance. ... -
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Nelson
The Nelson Programming Language
Nelson is a free, open-source numerical computing language and development environment designed for scientific and engineering applications. Inspired by MATLAB and GNU Octave, it provides more than 1,200 built-in functions for mathematical computation and data analysis. The software supports complex numbers, multidimensional arrays, sparse matrices, tables, and dictionaries. Users can create two-dimensional and three-dimensional visualizations and develop custom graphical interfaces. Its parallel computing capabilities use OpenMP, SIMD, and MPI to improve processing performance. Nelson also integrates with Python, Julia, C, and Fortran code. ... -
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CGAL
The Computational Geometry Algorithms Library
...CGAL features a great range of data structures and algorithms, including Voronoi diagrams, cell complexes and polyhedra, triangulations, arrangements of curves, surface and volume mesh generation, spatial searching, alpha shapes, geometry processing, and many more. The use of these result in beautiful, visually complex and accurate representations. -
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LazySets.jl
Scalable Symbolic-Numeric Set Computations
LazySets.jl is a Julia package for calculus with convex sets. The aim is to provide a scalable library for solving complex set-based problems, such as those encountered in differential inclusions or reachability analysis techniques in the domain of formal verification. Typically, one is confronted with a set-based recurrence with a given initial set and/or input sets, and for visualization purposes, the final result has to be obtained through an adequate projection onto low dimensions. ... -
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MiniZinc IDE
Integrated development environment for the high-level constraint model
...Advanced tools support solution visualization, search analysis, and compilation profiling. Built with Qt and available for Windows, macOS, and Linux, MiniZinc IDE helps researchers, engineers, and developers model complex decision-making problems. -
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Open tool platform for the cost effective rigorous development of dependable complex software systems services. This platform is based on the event-B formal method and provides natural support for refinement and mathematical proof.
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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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Agena
Agena is an interpreted procedural programming language.
Agena is an easy-to-learn procedural programming language designed for science, scripting, and many other applications. Binaries are available for Windows, Linux, Solaris, OS/2, Mac OS X, Raspberry Pi and DOS. -
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calc: C-style arbitrary precision system
Calc: arbitrary precision C-like arithmetic & calculator
Calc is arbitrary precision C-like arithmetic system that is a calculator, an algorithm prototyper and mathematical research tool. Calc comes with a rich set of builtin mathematical and programmatic functions. -
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Quaternion toolbox for Matlab
Quaternion and octonion toolbox for Matlab
Quaternion toolbox for Matlab is a toolbox that extends Matlab to handle matrices of quaternions with real and complex components. Many Matlab operators and functions are overloaded to work for real quaternion and complexified quaternion matrices. Version 2 of the toolbox adds support for octonions. Version 3 adds symbolic computation with quaternions, provided that you have the Symbolic Math Toolbox (if you don't the numeric functionality will still work). -
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MCPower
MCPower — simple Monte Carlo power analysis for complex models
MCPower-GUI is a desktop application that provides a graphical interface for the MCPower Monte Carlo power analysis library. It guides users through the full workflow across three tabs: Model setup (formula input with live parsing, CSV data upload with auto-detected variable types, effect size sliders, and correlation editing), Analysis configuration (find power for a given sample size or find the minimum sample size for a target power, with multiple testing correction and scenario... -
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Dynamics Explorer
Dynamical systems research tool
Dynamics Explorer, (detool for short), is a program designed to let users explore dynamical systems, particularly focused on enabling mathematicians to improve the efficiency and quality of their research in the field of complex dynamics. -
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Statistics101 - Resampling Statistics
Use simulation to perform statistical analyses.
Statistics101 is an Integrated Development Environment (IDE) that uses a simple, powerful language called “Resampling Stats” to develop Monte Carlo programs to analyze and solve statistical problems. The original Resampling Stats language and computer program were developed by Dr. Julian Simon (https://www.juliansimon.com/) and Peter Bruce (https://www.scientificamerican.com/author/peter-bruce/) as a new way to teach Statistics to social science students. Of course, social science students... -
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nars2000
NARS2000: An Experimental APL Interpreter
APL is an arrary-oriented language initially conceived in the 1960s by Kenneth E. Iverson, IBM Fellow and 1979 ACM Turing Award recipient. It is ideally suited to computer programming because it subsumes the tedious aspects of the job allowing the programmer to concentrate on the heart of the project. NARS2000 is a Free Open Source implementation of APL. For more details on this project, visit the NARS2000.org website. -
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Funiter (FUNction ITERation) is developed for educational purposes, generating graphs of several types for iteration of real and complex functions with comfortable switching between related types of graphs.
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MetaDiSc
App for meta-analysis of diagnostic accuracy reviews
Statistical methods for the meta-analysis of diagnostic test accuracy (DTA) studies are relatively complex. We aimed to build the Meta-DiSc software to include statistical methods based on hierarchical models and an enhanced web-based interface to improve user experience. -
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mXparser - Math Parser Java C# Library
A flexible mathematical expressions parser for JAVA, Android, C# .NET
....: greatest common divisor - iterated summation and product operators - differentiation and integration High flexibility: - user defined constants and arguments, both free - and dependent on other arguments + possibility of use in functions - user defined functions (both free and depended) - user defined recursive arguments + simple (controlled) recursion (1 recursive argument) - user defined recursive functions / expressions (any) - complex, many arguments, no limitation - internal syntax checkin -
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Perceptron
The birth of modern video feedback art.
...Perceptron * recursively transforms images and video streams in realtime and produces a combination of Julia fractals, IFS fractals, and chaotic patterns due to video feedback * evolves geometric patterns into the realm of infinite details and deepens the thought * records animations (movies) * saves and opens presets (state files) * loads user photographs or captures screen and webcam input * has user interface based on multiple mouse cursors, and almost the entire keyboard * has multiple windows and fullscreen mode * takes complex geometric transforms as input * applies numerous coloring techniques * smoothly transforms fractals and creates endless psychedelic journeys * resonates with the human perception Visit the Perceptron home page at http://perceptron.sourceforge.net -
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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... -
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Another simpler implementation for float only uses integer types, we should use -msoft-float first or we get complex result, so we need this with huge or tiny exponents float.
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AdaAutoDiff
C++ Templates and Ada Package for Automatic Differentiation
Operators are overloaded so that a normal looking function definition provides access to not only evaluations of itself, but to evaluations of any of its analytic derivatives. Automatic differentiation means the user does not need to define the analytic expressions for all the various partial derivatives. It also means that those complex expressions are essentially calculated at compile time, and merely evaluated at runtime. First order derivatives only, forward accumulation. Choose "files" and either the "initial_submission" directory for the Ada version, or the other directory "cpp_AD" for the C++ version. -
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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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CalclipseMath
Java math expression parser and script interpreter
CalclipseMath – CalM for short – is a math parser written in Java. With a few lines of code CalM enables your application to evaluate user-supplied mathematical expressions, such as "e^(sin .25pi)" and "(sqrt e)^(sqrt 2)". The standard configuration of the parser has a wide variety of mathematical operations, ranging from basic arithmetic, trigonometry, combinatorics, linear algebra and more. CalM includes a script interpreter which is based on the math parser. The CalM scripting language... -
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ICE (Interval Calculator for Engineer)
Interval Calculator for Engineer
ICE is a simple mathematical calculator with very useful shortcuts for Engineer: works natively with tolerance, can run Monte Carlo analysis, uses engineer notation, includes most of the day by day functions used by engineers. -
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MatLisp is a package for Common Lisp for handling matrices with real-valued or complex-valued elements. BLAS is used for elementary matrix operations and LAPACK is used for linear algebra routines.
