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gnuplot plots 2d and 3d graphs, from a data file or with a formula. It has an interactive mode with online help, or it can be used non-interactively. gnuplot does function fitting to data sets, and it does output to many terminals, among which are PostScript, X11 display, PNG, and GIF (via the old gd library).
Octave is a high-level language, primarily intended for numerical computations. It provides a convenient command line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments. It may also be used as a batch-oriented language.
NumPy adds a flexible multi-dimensional array to Python along with mathematical and structural manipulation routines to allow Python to be used for high-level scientific and engineering code development.
Maxima is a Common Lisp implementation of MIT's Macsyma system for computer based algebra. It features plotting over the network via netmath, computations over the network, extensive testing on a large array of problems, a source level debugger for
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maxima code, ease of extension in fundamentally new ways, access to Common Lisp and portability to many systems. [Less]
Sage is mathematical software, very much in the same vein as Matlab, MAGMA, Maple, and Mathematica. Unlike these systems, every component of Sage is GPL-compatible. The interpretaive language of Sage is Python, a mainstream programming language. Use
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Sage for studying a huge range of mathematics, including algebra, calculus, elementary to very advanced number theory, cryptography, numerical computation, commutative algebra, group theory, combinatorics, graph theory, and exact linear algebra.
It is available for download from sagemath.org and its mirrors in source or binary form. If you have any questions and/or problems please report them to the Google groups sage-devel or sage-support. You can also drop by in #sage-devel or #sage-support in freenode. [Less]
The JTS Topology Suite is an API of 2D spatial predicates and functions. It has the following design goals:
* JTS conforms to the Simple Features Specification for SQL published by the Open GIS Consortium
* JTS provides a complete, consistent
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, robust implementation of fundamental 2D spatial algorithms
* JTS is fast enough for production use
* JTS is written in 100% pure Java(
* JTS is open source (under the LGPL license) [Less]
The GNU Scientific Library (GSL) is a numerical library for C and C++ programmers.
The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with an extensive test suite.
A mathematical open source library written in C#/.Net, aiming to provide a self contained clean framework for symbolic algebraic and numerical / scientific computations.
The ATLAS (Automatically Tuned Linear Algebra Software) project is an ongoing research effort focusing on applying empirical techniques in order to provide portable performance. It provides C and Fortran77 interfaces to a portably efficient BLAS implementation, as well as a few routines from LAPACK.
Kig is a program for exploring geometric constructions. It is meant as a better replacement for such free programs as KGeo, KSeg and Dr. Geo and commercial programs like Cabri. Kig is meant as a useful and powerful utility for high school students and teachers.
Eigen is a C++ template library for linear algebra (vectors, matrices, and related algorithms).
* It supports tiny, dense, and sparse matrices (the latter is still experimental), fully integrated with one another.
* It takes full advantage of
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expression templates to provide a great API. For example, m.row(i)+=m.row(j) just works.
* Expression templates are also the basis for many optimizations: automatic determination of which temporaries to remove, and intelligent explicit vectorization (SSE and ALtiVec).
* Performance is on par with the best BLAS implementations (see http://eigen.tuxfamily.org/index.php?title=Benchmark).
* It keeps in mind the real needs of apps, for example the geometry features needed for 3D graphics [Less]
A port of JTS to .Net, rewritten to take advantage of CLR constructs, as well as remove some of the legacy issues in JTS.
NetTopologySuite is a C#/.NET port of JTS Topology Suite, a Java library for GIS operations, (OpenGIS compliant).
The main goal of this project is to have a .NET GIS solution that is fast and reliable for any kind of .NET platform, PocketPC and SQL Server 2005 (through CLR integration) included.
KmPlot is a mathematical function plotter. It has built in a powerfull parser. You can plot different functions simultaneously and combine their function terms to build new functions. KmPlot supports functions with parameters and functions in polar
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coordinates. Several grid modes are possible. Plots may be printed with high precision in correct scale.
Features
* powerful mathematical parser
* precise metric printing
* different plot types (functions, parametric, polar)
* highly configurable visual settings (plot line, axes, grid)
* export to bitmap format (BMP and PNG) and scalable vector graphics (SVG)
* save/load complete session in readable xml format
* trace mode: cross hair following plot, coordinates shown in the status bar
support zooming
and more. [Less]
This is an interactive generative art application to evolve
images/textures/patterns/animations through an iterative process of random mutation and user-selection driven evolution. This process is also often referred to as "evolutionary art" or
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"genetic art". If you like lava lamps, and still think the Mandelbrot set is cool, this could be the software for you. [Less]
A purely functional interface to basic linear algebra computations and other numerical routines, internally implemented using GSL, BLAS and LAPACK.
An implementation of linear algebra numerical structures and methods for the CLR. NPack is unique in that it uses generics for matrix element definitions, and a set of matrix operations via an interface, allowing a CLR-based operations engine as well
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as the opportunity to use GPGPU-based operation engines. NPack was initially ported from Java Matrix Package (JAMA) by the US National Institute of Standards and Technology (which was a Java reinterpretation of LINPACK). [Less]
(from the scilab homepage...)
Scilab is a scientific software package for numerical computations providing a powerful open computing environment for engineering and scientific applications.
Scilab is an open source software. Since 1994 it has
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been distributed freely along with the source code via the Internet. It is currently used in educational and industrial environments around the world. Scilab is now the responsibility of the Scilab Consortium, launched in May 2003. There are currently 25 members in Scilab Consortium. [Less]
Set of open, reliable, math functions in classes (=collections by domains) designed to be used from any project/library, with any data-structure.
In other words, all the things you usually rewrite for each project. But coded with universality in
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mind.
The most important package is the org.openmali.vecmath2 one, which contains an improved vecmath - similar to Sun's vecmath, but better, faster and more convenient. [Less]
Lib2geom (2Geom in private life) is a library developed for inkscape to provide a robust computational geometry framework. It is not a rendering library, instead concentrating on high level algorithms such as computing arc length.
KAlgebra is a mathematical calculator based content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and represent 2D and 3D graphs. It is actually not necessary to know MathML to use KAlgebra.
JEuclid is a complete MathML rendering solution, consisting of:
* A MathViewer application
* Command line converters from MathML to other formats
* An ant task for automated conversion
* Display components for AWT and Swing
* A component for Apache Cocoon
* A plug-in for Apache FOP
Haskell interface to the standard C math library.
KTurtle is an educational programming environment. KTurtle aims to make programming as easy and touchable as possible, and therefore can be used to teach kids the basics of math, geometry and... programming.
The programming language used in KTurtle
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is loosly based on Logo. KTurtle allows, just like some implementations of Logo, to translate the programming language (the commands, the documentation and the error messages) to native language of the programmer. Translating the programming language to the native language of the programmer is one of the many ways KTurtle tries to make learning to programming more simple. Other features to help to achieve this goal are: intuitive syntax highlighting, simple error messages, integrated canvas to make drawings on, integrated help function, ... [Less]
WinTriangle is a specialized RTF word processor capable of displaying and voicing conventional text and the symbols commonly used in math and scientific expressions permitting virtually any math or scientific expression to be expressed in a linear
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form. The goal of WinTriangle is to provide a common format usable by sighted and blind people.
WinTriangle completes the loop permitting essentially total written communication of scientific information between sighted and blind people.WinTriangle is a computer application and computer literacy is required of both the blind and sighted users to use it.No knowledge of braille is required.The application is distributed with extensive online documentation and tutorials to make the learning curve to use this application small. [Less]
Perl module for handling of numbers with arbitrary many uncertainties. Does automatic error propagation and scientific rounding.
An extension for outputting the objects in LaTeX syntax is available.
Math::Symbolic is intended to offer symbolic calculation capabilities to the Perl programmer without using external (to Perl) libraries and/or applications.
It's quite limited in scope. No integration of expressions, for example. However, various
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extensions have been written to allow things like symbolic tree transformations using declarative syntax or compilation to Perl or C code for faster numeric evaluation. [Less]
A point and click editor for creating simple real time interactive simulations utilizing 2D/3D graphics and sound.
The Configurable Math Library (CML) is an open-source C++ library designed for use in games, graphics, computational geometry, and related applications. It includes vector, matrix, and quaternion classes, and a large library of related functions.
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Vectors and matrices can be of arbitrary size, and all classes are parameterized by element type. Other options, such as matrix layout and choice of row- or column-vector notation, are available as well. The CML can be used as an extension to an existing math library, in lieu of or as an extension to the DirectX math library, or as a drop-in solution for OpenGL-based applications. [Less]
This is another library for creating and manipulating graphs. There is simply no other graph library out there which can be handle graphs of the size the author is confronted with efficiently. Whenever possible igraph tries to be also user friendly
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and portable.
igraph started as an additional package to the GNU R statistical environment, and still some functions which are hard to implement in C are available only in R (like interactive graphics). Most functions are however now written in C and they can be compiled without R as a separate library. [Less]