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Mathematics (108)



ATLAS
ATLAS (Automatically Tuned Linear Algebra Software) is a system for generating high-performance mathematical libraries. It generates a library that is specifically tuned to your processor and compiler. ATLAS's purpose is to provide portably optimal linear algebra software. In particular, ATLAS provides ANSI C and Fortran 77 interfaces to the BLAS, and a subset of LAPACK.

Apophenia
'Apophenia' is a statistical library for C. It provides functions on the same level as those of the typical stats package (OLS, probit, singular value decomposition, &c.) but doesn't tie the user to an ad hoc language or environment. It uses the GNU Scientific Library for number crunching and SQLite for data management, so the library itself focuses on model estimation and quickly processing data.

Aris Heckert gnu.small.png
A sequential proof program, designed to assist anyone interested in solving logical proofs. Aris supports both propositional and predicate logic, as well as Boolean algebra and arithmetical logic in the form of abstract sequences. It uses a predefined set of both inference and equivalence rules, however gives the user options to use older proofs as lemmas, including Isabelle's Isar proofs.

Autoclass
AutoClass solves the problem of automatic discovery of classes in data (sometimes called clustering or unsupervised learning), as distinct from the generation of class descriptions from labeled examples (called supervised learning). It aims to discover the 'natural' classes in the data. AutoClass is applicable to observations of things that can be described by a set of attributes, without referring to other things. The data values corresponding to each attribute are limited to be either numbers or the elements of a fixed set of symbols. With numeric data, a measurement error must be provided.

Axiom
Axiom is a general purpose Computer Algebra system. It was originally created under the name Scratchpad and has seen development at companies such as IBM and NAG. Axiom provides a mature, powerful, strongly typed environment designed to enable research into mathematical algorithms and theory. It is also useful for engineering or scientific purposes.

BLAS
The BLAS (Basic Linear Algebra Subprograms) are routines that provide standard building blocks for performing basic vector and matrix operations. The Level 1 BLAS perform scalar, vector and vector-vector operations, the Level 2 BLAS perform matrix-vector operations, and the Level 3 BLAS perform matrix-matrix operations. Because the BLAS are efficient, portable, and widely available, they are commonly used in the development of high quality linear algebra software, LAPACK for example.

Bc Heckert gnu.small.png
'Bc' is an arbitrary precision numeric processing language. Its syntax is similar to C, but differs in many substantial areas. It supports interactive execution of statements. 'Bc' is a utility included in the POSIX P1003.2/D11 draft standard. This version does not use the historical method of having bc be a compiler for the dc calculator (the POSIX document doesn't specify how bc must be implemented). This version has a single executable that both compiles the language and runs the resulting 'byte code.' The byte code is not the dc language.

Besssugo
besssugo is a free computational tool specifically designed to aid a cognizant expert—i.e. you, whether an engineer, scientist, technician, geek, etc—to build videos showing the result of a certain scientific calculation or whatever data can be computed or storied in a digital computer. Technically speaking, it is a plugin for the computational tool wasora, which provides means to parse and understand a high-level plain-text input file containing algebraic expressions, data for function interpolation, differential equations and output instructions amongst other facilities. Therefore, any mathematical computation which can be done by wasora—i.e. solving systems of differential-algebraic equations, multidimensional interpolation of scattered data, numerical integration and differentiation, etc.—can be combined with the facilities that besssugo provides to create visual representations in the form of animations.

BigMath
Based partly on Knuth's Seminumerical Algorithms and written in C, BigMath aims to be light-weight and fast. Its original implementation was for use within a kernel extension - thus size and speed were essential. BigMath supports only integer math, including add, sub, mul, div, mod, modpow, modinv, pow, gcd, factorial, radix conversion, scientific notation and various comparisons.

Bitwise enums
A very simple, 0-overhead, and yet type-safe 1-file library for doing bitwise operations between masks represented by enums. Please note: This library has been subsumed into MiLi and is no longer being maintained individually.

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