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Lists Of Mathematical Software
Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data. Evolution of mathematical software Numerical analysis and symbolic computation had been in most important place of the subject, but other kind of them is also growing now. A useful mathematical knowledge of such as algorism which exist before the invention of electronic computer, helped to mathematical software developing. On the other hand, by the growth of computing power (such as seeing on Moore's law), the new treatment (for example, a new kind of technique such as data assimilation which combined numerical analysis and statistics) needing conversely the progress of the mathematical science or applied mathematics. The progress of mathematical information presentation such as TeX or MathML will demand to evolution form ''formula manipulation language'' to true ''mathematics manipulation language'' (notwithstanding the problem that whether mathematical theory is inconsisten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Software
Software consists of computer programs that instruct the Execution (computing), execution of a computer. Software also includes design documents and specifications. The history of software is closely tied to the development of digital computers in the mid-20th century. Early programs were written in the machine language specific to the hardware. The introduction of high-level programming languages in 1958 allowed for more human-readable instructions, making software development easier and more portable across different computer architectures. Software in a programming language is run through a compiler or Interpreter (computing), interpreter to execution (computing), execute on the architecture's hardware. Over time, software has become complex, owing to developments in Computer network, networking, operating systems, and databases. Software can generally be categorized into two main types: # operating systems, which manage hardware resources and provide services for applicat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gödel's Incompleteness Theorems
Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The theorems are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible. The first incompleteness theorem states that no consistency, consistent system of axioms whose theorems can be listed by an effective procedure (i.e. an algorithm) is capable of Mathematical proof, proving all truths about the arithmetic of natural numbers. For any such consistent formal system, there will always be statements about natural numbers that are true, but that are unprovable within the system. The second incompleteness theorem, an extension of the first, shows that the system cannot demonstrate its own consistency. Employing a Ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gareth Loy
Gareth Loy is an American author, composer, musician and mathematician. He is the author of the two volume series about the intersection of music and mathematics titled ''Musimathics''. The series received generally favourable ratings. He was an early practitioner of music synthesis at Stanford, and wrote the first software compiler for the Systems Concepts Digital Synthesizer (Samson Box). More recently, he has published the freeware music programming language ''Musimat'', designed specifically for subjects covered in ''Musimathics'', available as a free download. Although Musimathics was first published in 2006 and 2007, the series continues to evolve with updates by the author and publishers. The texts are being used in numerous mathematics and music classes at both the graduate and undergraduate level, with more current reviews noting that the originally targeted academic distribution is now reaching a much wider audience. Music synthesis pioneer Max Mathews stated that his bo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerical Recipes
''Numerical Recipes'' is the generic title of a series of books on algorithm In mathematics and computer science, an algorithm () is a finite sequence of Rigour#Mathematics, mathematically rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algo ...s and numerical analysis by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery. In various editions, the books have been in print since 1986. The most recent edition was published in 2007. Overview The ''Numerical Recipes'' books cover a range of topics that include both classical numerical analysis (interpolation, Numerical integration, integration, linear algebra, differential equations, and so on), signal processing (Fast Fourier transform, Fourier methods, Digital filter, filtering), statistical treatment of data, and a few topics in machine learning (hidden Markov model, support vector machines). The writing style is acc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
GNU Scientific Library
The GNU Scientific Library (or GSL) is a software library for numerical computations in applied mathematics and science. The GSL is written in C (programming language), C; wrappers are available for other programming languages. The GSL is part of the GNU Project and is distributed under the GNU General Public License. Project history The GSL project was initiated in 1996 by physicists Mark Galassi and James Theiler of Los Alamos National Laboratory.GSL homepage They aimed at writing a modern replacement for widely used but somewhat outdated Fortran libraries such as Netlib. They carried out the overall design and wrote early modules; with that ready they recruited other scientists to contribute. The "overall development of the library and the design and implementation of the major modules" was carried out by Brian Gough and Gerard Jungman ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NAG Numerical Libraries
The NAG Numerical Library is a commercial software product developed and sold by The Numerical Algorithms Group Ltd. It is a software library of numerical-analysis routines, containing more than 1,900 mathematical and statistical algorithms. Areas covered by the library include linear algebra, optimization, quadrature, the solution of ordinary and partial differential equations, regression analysis, and time series analysis. Users of the NAG Library call its routines from within their applications to incorporate its mathematical or statistical functionality and to solve numerical problems - for example, finding the minimum or maximum of a function, fitting a curve or surface to data, or solving a differential equation. The NAG Library can be accessed from a variety of programming languages and environments such as C/ C++, Fortran, Python, Active Directory (AD), MATLAB, Java, and .NET. The main supported systems are currently Windows, Linux and macOS running on x86-64 arc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NMath
NMath is a numerical package for the Microsoft .NET Framework. It is developed by CenterSpace Software. Version 1.0 was released in March, 2003 as NMath Core. The current version is called NMath 7.1, released in December, 2019. NMath is built on MKL, a numerical library from Intel. , NMath sells at US$1,595. Features NMath contains vector and matrix classes, complex numbers, factorizations, decompositions, linear programming, minimization, root-finding, structured and sparse matrix, least squares, polynomials, simulated annealing, curve fitting, numerical integration and differentiationing. CenterSpace Software CenterSpace Software, LLC. is a commercial software development company with headquarters in Corvallis, Oregon, USA, that produces numerical and statistical class libraries for the .NET Framework and the NMath software. CenterSpace also provides advanced software project consulting services. CenterSpace Software produced the first commercial .NET numerical class lib ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
IMSL Numerical Libraries
The International Mathematics and Statistics Library (IMSL) is a commercial collection of software libraries that provide a wider range of numerical analysis functions. These libraries are implemented in programming languages such as C, Java, C#.NET, and Fortran. Additionally, a Python interface is available, making the library accessible to a broader range of developers and data scientists. Version history The first IMSL Library for the Fortran language was released in 1970, followed by a C-language version originally called C/Base in 1991, a Java-language version in 2002, and the C#-language version in 2004. Several recent product releases have involved making IMSL Library functions available from Python. These releases are Python wrappers to IMSL C Library functions (PyIMSL wrappers) and PyIMSL Studio, a prototyping and production application development environment based on Python and the IMSL C Library. The PyIMSL wrappers were first released in August 2008. PyIMSL St ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
C (programming Language)
C (''pronounced'' '' – like the letter c'') is a general-purpose programming language. It was created in the 1970s by Dennis Ritchie and remains very widely used and influential. By design, C's features cleanly reflect the capabilities of the targeted Central processing unit, CPUs. It has found lasting use in operating systems code (especially in Kernel (operating system), kernels), device drivers, and protocol stacks, but its use in application software has been decreasing. C is commonly used on computer architectures that range from the largest supercomputers to the smallest microcontrollers and embedded systems. A successor to the programming language B (programming language), B, C was originally developed at Bell Labs by Ritchie between 1972 and 1973 to construct utilities running on Unix. It was applied to re-implementing the kernel of the Unix operating system. During the 1980s, C gradually gained popularity. It has become one of the most widely used programming langu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Netlib
Netlib is a repository of software for scientific computing maintained by AT&T, Bell Laboratories, the University of Tennessee and Oak Ridge National Laboratory. Netlib comprises many separate programs and libraries. Most of the code is written in C and Fortran, with some programs in other languages. History The project began with email distribution on UUCP, ARPANET and CSNET in the 1980s. The code base of Netlib was written at a time when computer software was not yet considered merchandise. Therefore, no license terms or terms of use are stated for many programs. Before the Berne Convention Implementation Act of 1988 (and the earlier Copyright Act of 1976) works without an explicit copyright notice were public-domain software. Also, most of the Netlib code is work of US government employees and therefore in the public domain. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Comparison Of Cryptography Libraries
The tables below compare cryptography libraries that deal with cryptography algorithms and have ''application programming interface'' (API) function calls to each of the supported features. Cryptography libraries FIPS 140 This table denotes, if a cryptography library provides the technical requisites for FIPS 140, and the status of their FIPS 140 certification (according to NIST's CMVP search, modules in process list and implementation under test list). Key operations Key operations include key generation algorithms, key exchange agreements, and public key cryptography standards. Public key algorithms Elliptic-curve cryptography (ECC) support Public key cryptography standards Hash functions Comparison of supported cryptographic hash functions. Here hash functions are defined as taking an arbitrary length message and producing a fixed size output that is virtually impossible to use for recreating the original message. MAC algorithms Compariso ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
