Debian Science Project
Summary
Mathematics
pacotes de Matemática do Debian Science

Este metapacote instalará os pacotes do Debian Science relativos a matemática. Você também pode estar interessado pela debtag field::mathematics e, dependendo do seu interesse, no metapacote education-mathematics.

Description

For a better overview of the project's availability as a Debian package, each head row has a color code according to this scheme:

If you discover a project which looks like a good candidate for Debian Science to you, or if you have prepared an unofficial Debian package, please do not hesitate to send a description of that project to the Debian Science mailing list

Links to other tasks

Debian Science Mathematics packages

Official Debian packages with high relevance

4ti2
mathematical tool suite for problems on linear spaces -- tools
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4ti2 is a mathematical software package for algebraic, geometric and combinatorial problems on linear spaces.

This package provides the 4ti2 tool suite.

agda
linguagem de programação funcional com tipagem dependente
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Agda é uma linguagem de programação funcional com tipagem dependente: ela possui famílias indutivas, que são similares a GADTs do Haskell, mas podem ser indexadas por valores e não somente por tipos. Ela também possui módulos parametrizáveis, operadores "mixfix", caracteres Unicode e uma interface Emacs interativa (o verificador de tipos pode ajudá-lo no desenvolvimento de seu código).

Agda também é um assistente de provas: ela é um sistema interativo para escrever e verificar provas. Agda é baseada na teoria de tipos intuicionística, um sistema fundacional para matemática construtiva desenvolvido pelo lógico sueco Per Martin-Löf. Ela possui muitas similaridades com outros assistentes de provas baseados em tipos dependentes tais como Coq, Epigram e NuPRL.

Este é um meta-pacote que fornece o modo de emacs Agda, o executável, a biblioteca padrão e sua documentação.

auto-07p
software for continuation and bifurcation problems in ODE
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AUTO can do a limited bifurcation analysis of algebraic systems of the form

  f(u,p) = 0,  f,u in Rn
and of systems of ordinary differential equations of the form
  u'(t) = f(u(t),p),  f,u in Rn
subject to initial conditions, boundary conditions, and integral

constraints. Here p denotes one or more parameters. AUTO can also do certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT for the bifurcation analysis of homoclinic orbits. AUTO is quite fast and can benefit from multiple processors; therefore it is applicable to rather large systems of differential equations.

axiom
sistema de álgebra computacional de propósito geral: módulos e binário principal
Maintainer: Camm Maguire
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Axiom é útil para pesquisa e desenvolvimento de algorítimos matemáticos. Ele define uma hierarquia de tipos matematicamente corretos e fortemente tipados. Tem uma linguagem de programação e um compilador embutido.

Axiom está em desenvolvimento desde 1973 e já foi vendido como um produto comercial. Logo após, ele foi lançado como software livre.

Há esforços atualmente para estender este software para (a) desenvolver uma interface de usuário melhor (b) torná-lo funcional como uma ferramenta de ensino (c) desenvolver um protocolo de servidor de álgebra (d) integrar matemática adicional (e) reconstruir a álgebra num estilo de programação literária (f) integrar com programação lógica (g) desenvolver um Jornal de Axiom (Axiom Journal) com submissões avaliadas.

Este pacote contém o programa binário principal, toda a álgebra pré-compilada e módulos auto-carregáveis.

The package is enhanced by the following packages: texmacs-bin
bliss
tool to compute graph automorphisms and labelings -- bin
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Bliss is a backtracking algorithm for computing automorphism groups and canonical forms of graphs, based on individualization and refinement. Its data structures, subroutines, and pruning heuristics are specially designed for fast handling of large and sparse graphs.

This package provides the command line tool bliss.

cohomcalg
sheaf cohomology of line bundles on toric varieties
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The algorithm for the computation of sheaf cohomologies for line bundles on toric varieties presented in "Cohomology of Line Bundles: A Computational Algorithm" by Ralph Blumenhagen, Benjamin Jurke, Thorsten Rahn, and Helmut Roschy has been implemented in a convenient and high-performance C/C++ application called cohomCalg.

The optional cohomCalg Koszul extension serves as a Mathematica 7 frontend and allows for the easy computation of hypersurface and complete intersection cohomologies, following the material presented in "Cohomology of Line Bundles: Applications" by the same authors.

Please cite: Ralph Blumenhagen, Benjamin Jurke, Thorsten Rahn and Helmut Roschy: Cohomology of Line Bundles: A Computational Algorithm. J. Math. Phys. 51 (2010)
coinor-cbc
Coin-or branch-and-cut mixed integer programming solver
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Cbc (Coin-or branch and cut) is an open-source mixed integer programming solver written in C++. It can be used as a callable library or as a stand-alone executable.

This package contains cbc executable.

coinor-csdp
Software package for semidefinite programming (binaries)
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CSDP is a library of routines that implements a predictor corrector variant of the semidefinite programming algorithm of Helmberg, Rendl, Vanderbei, and Wolkowicz. The code runs in parallel on shared memory multi-processor systems, and it makes effective use of sparsity in the constraint matrices.

CSDP is part of the larger COIN-OR initiative (Computational Infrastructure for Operations Research).

This package contains the binaries.

Please cite: Borchers, Brian: CSDP, AC library for semidefinite programming. (eprint) Optimization methods and Software 11(1-4):612-623 (1999)
coinor-libbonmin-dev
COIN-OR mixed integer programming (developer files)
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Bonmin (Basic Open-source Nonlinear Mixed INteger programming) is an open-source code for solving general MINLP (Mixed Integer NonLinear Programming) problems.

Bonmin is part of the larger COIN-OR initiative (Computational Infrastructure for Operations Research) and can be used with other COIN-OR packages that make use of cuts, such as the mixed-integer linear programming solver Cbc.

This package contains the header files for developers.

coinor-symphony
COIN-OR solver for mixed-integer linear programs
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SYMPHONY is an open-source generic mixed-integer linear programs (MILP) solver, callable library, and extensible framework for implementing customized solvers SYMPHONY has a number of advanced capabilities, including the ability to solve multi-objective MILPs, the ability to warm start its solution procedure, and the ability to perform basic sensitivity analyses.

SYMPHONY is part of the larger COIN-OR initiative (Computational Infrastructure for Operations Research).

This package contains the symphony executable.

coq
proof assistant for higher-order logic (toplevel and compiler)
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Coq is a proof assistant for higher-order logic, which allows the development of computer programs consistent with their formal specification. It is developed using Objective Caml and Camlp5.

This package provides coqtop, a command line interface to Coq.

A graphical interface for Coq is provided in the coqide package. Coq can also be used with ProofGeneral, which allows proofs to be edited using emacs and xemacs. This requires the proofgeneral package to be installed.

The package is enhanced by the following packages: libaac-tactics-ocaml libssreflect-ocaml
cryptominisat
SAT solver command line interface
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CryptoMiniSat is a modern, multi-threaded, simplifying SAT solver.

This package provides a command line interface which reads SAT formulas in conjunctive normal form in the DIMACS format with the extension of XOR clauses and decides whether they are satisfiable.

eclib-tools
Programs for modular symbols and elliptic curves over Q
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This package includes several programs to compute with elliptic curves over Q ; most notably mwrank (for 2-descent on elliptic curves over Q) and the modular symbol tools used to create the elliptic curve database.

eprover
Equational theorem prover
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This package provides tools to prove equational theorems: from a mathematical specification in many-sorted first-order logic with equality and an hypothesis/conjecture, it will look for a proof.

Remark of Debian Science team: Removed from Debian

This package was removed from Debian but some versions are available from http://snapshot.debian.org/

Reasons are given here: http://bugs.debian.org/651971

feel++-apps
??? missing short description for package feel++-apps :-(
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fenics
Automated Solution of Differential Equations
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FEniCS is a collection of free software for automated, efficient solution of differential equations.

FEniCS has an extensive list of features, including automated solution of variational problems, automated error control and adaptivity, a comprehensive library of finite elements, high performance linear algebra and many more.

FEniCS is organized as a collection of interoperable components, including the problem-solving environment DOLFIN, the form compiler FFC, the finite element tabulator FIAT, the just-in-time compiler Instant, the code generation interface UFC, the form language UFL and a range of additional components.

This is a metapackage which depends on all FEniCS components.

This is the legacy version of FEniCS. You may want to consider installing the next-generation FEniCS-X (fenicx package).

flintqs
Program using quadratic sieve to factor integers
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This package includes William Hart's program to find prime factors of large integers (at least forty digits).

It does so using highly optimized multi-polynomial quadratic sieve.

form
Symbolic manipulation system
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This is a Symbolic Manipulation System. It reads symbolic expressions from files and executes symbolic/algebraic transformations upon them. The answers are returned in a textual mathematical representation. As its landmark feature, the size of the considered expressions in FORM is only limited by the available disk space and not by the available RAM.

fplll-tools
Tools to compute LLL-reduction of Euclidian lattices
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fpLLL is a library for computing reduced (nearly orthogonal) bases for Euclidean lattices using the floating-point LLL algorithm.

fpLLL contains multiple different implementations of the floating-point LLL reduction algorithm, offering multiple different speed/guarantees ratios.

It contains a 'wrapper' that chooses the estimated best sequence of variants in order to provide a guaranteed output as fast as possible. In the case of the wrapper, the succession of variants is oblivious to the user.

This package contains the base tools using libfplll.

freefem
PDE oriented language using Finite Element Method
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FreeFEM is a language adapted to Partial Differential equation. The underlying method used is the Finite Element Method. This tool has been successfully used as a teaching tool and even as a research tool.

freefem++
Provides the binaries of the FreeFem++ FE suite
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FreeFem++ is an implementation of a language dedicated to the finite element method. It enables you to solve Partial Differential Equations (PDE) easily.

Problems involving PDE from several branches of physics such as fluid-structure interactions require interpolations of data on several meshes and their manipulation within one program. FreeFem++ includes a fast quadtree-based interpolation algorithm and a language for the manipulation of these data on multiple meshes. It contains also a powerful mesh generation and adaption tool integrated seamlessly in FreeFem++ called bamg.

FreeFem++ is written in C++ and the FreeFem++ language is a C++ idiom allowing for a smooth learning curve.

This package contains the executables of FreeFem++.

Please cite: Hecht, F.: New development in FreeFem++. J. Numer. Math. 20(3-4):251-265 (2012)
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freefem3d
??? missing short description for package freefem3d :-(
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freemat
mathematics framework (mostly matlab compatible)
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FreeMat is a free environment for rapid engineering and scientific prototyping and data processing. It is similar to commercial systems such as MATLAB from Mathworks, and IDL from Research Systems, but is Open Source. FreeMat is available under the GPL license.

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frobby
Computations with monomial ideals
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Frobby is a software system and project for computations with monomial ideals. Frobby is free software and it is intended as a vehicle for computational and mathematical research on monomial ideals.

The current functionality includes Euler characteristic, Hilbert series, maximal standard monomials, combinatorial optimization on monomial ideals, primary decomposition, irreducible decomposition, Alexander dual, associated primes, minimization and intersection of monomial ideals as well as the computation of Frobenius problems (using 4ti2) with very mmlarge numbers. Frobby is also able to translate between formats that can be used with several different computer systems, such as Macaulay 2, Monos, 4ti2, CoCoA4 and Singular. Thus Frobby can be used with any of those systems.

gap
computer algebra system for Groups, Algorithms and Programming
Maintainer: Bill Allombert
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GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more.

This is a dummy package that depends on the standard GAP components.

gap-character-tables
GAP Library of character tables
Maintainer: Bill Allombert
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GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more.

This package contains the Character Table Library by Thomas Breuer.

gap-design
block designs for GAP
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

This package provides for GAP routines for constructing, classifying, partitioning and studying block designs.

gap-factint
advanced methods for factoring integers for GAP
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

This package brings to GAP routines for factoring integers, in particular:

  • Pollard's p-1
  • Williams' p+1
  • Elliptic Curves Method (ECM)
  • Continued Fraction Algorithm (CFRAC)
  • Multiple Polynomial Quadratic Sieve (MPQS)

It also provides access to Richard P. Brent's tables of factors of integers of the form b^k +/- 1.

gap-float
multi-precision floating-point computation for GAP
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

This GAP package brings to GAP floating-point numbers with arbitrary precision; it is based on MPFR, MPFI, MPC, CXSC, and FPLLL.

gap-grape
GRaph Algorithms using PErmutation groups for GAP
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

This package implements computing with graphs and groups for GAP. GRAPE is primarily designed for constructing and analysing graphs related to groups, finite geometries, and designs; special emphasis is placed on the determination of regularity properties and subgraph structure.

gap-guava
coding theory library for GAP
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

This GAP package brings to GAP computing with error-correcting codes.

gap-laguna
LAGUNA GAP package
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

LAGUNA stands for `Lie AlGebras and UNits of group Algebras'.

This package provides GAP with functionality for calculation of the normalized unit group of the modular group algebra of the finite p-group and for investigation of Lie algebra associated with group algebras and other associative algebras.

gap-openmath
OpenMath phrasebook for GAP
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

This package allows GAP to import and export mathematical objects encoded in OpenMath, for the purpose of exchanging them with other applications that are OpenMath enabled.

gap-prim-groups
Database of primitive groups for GAP
Maintainer: Bill Allombert
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas. In the example text, gap is used to analyse Rubik's Cube using group theory. A kernel implements a Pascal-like language.

This package contains the database of primitive groups.

This is a transitional package. It can be safely removed after the installation is complete.

gap-small-groups
Database of small groups for GAP
Maintainer: Bill Allombert
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas. In the example text, gap is used to analyse Rubik's Cube using group theory. A kernel implements a Pascal-like language.

The Small Groups Library is a catalogue of groups of `small' order. This package contains the groups data and identification routines for groups of order up to 1000 except 512, 768 and groups whose order factorises in at most 3 primes.

Note that data for order 512, 768 and between 1000 and 2000 except 1024 are available separately in the gap-small-groups-extra packages.

This is a transitional package. It can be safely removed after the installation is complete.

gap-small-groups-extra
Large database of small groups for GAP
Maintainer: Bill Allombert
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas. In the example text, gap is used to analyse Rubik's Cube using group theory. A kernel implements a Pascal-like language.

The Small Groups Library is a catalogue of groups of `small' order. This package contains the groups data and identification routines for groups

  • of order at most 2000 except 1024.
  • of cubefree order at most 50 000.
  • of order p^n for n <= 6 and all primes p.
  • of squarefree order.
  • whose order factorises in at most 3 primes.
  • of order q^n * p for q^n dividing 2^8, 3^6, 5^5, 7^4 and p prime different to q

The Small Groups Library provides access to these groups and a method to identify the catalogue number of a given group.

This is a transitional package. It can be safely removed after the installation is complete.

gap-sonata
Systems Of Nearrings And Their Applications for GAP
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

This package provides to GAP methods for the construction and analysis of finite nearrings.

gap-table-of-marks
GAP TomLib - The GAP Library of Tables of Marks
Maintainer: Bill Allombert
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GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more.

This package contains the GAP Library of Tables of Marks by L. Naughton and G. Pfeiffer.

gap-toric
toric variety for GAP
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

This package provides for GAP routines for working with toric varieties and dealing with cones and related combinatorial geometric object.

gap-trans-groups
Database of transitive groups for GAP
Maintainer: Bill Allombert
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas. In the example text, gap is used to analyse Rubik's Cube using group theory. A kernel implements a Pascal-like language.

This package contains the database of transitive groups.

This is a transitional package. It can be safely removed after the installation is complete.

geneagrapher
Create tree from Mathematics Genealogy Project (executable)
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The Mathematics Genealogy Grapher (Geneagrapher) is a software tool to gather the information for building math genealogy trees with data from the Mathematics Genealogy Project. The information extracted is stored in dot file format, which can then be passed to Graphviz to generate a graph.

This package contains the command-line tool.

geogebra
programa de matemática dinâmica para educação
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GeoGebra é um programa de geometria dinâmica. Você pode fazer construções com pontos, vetores, segmentos, linhas, seções cônicas assim como funções e alterá-las dinamicamente em seguida. Por outro lado, equações e coordenadas podem ser digitadas diretamente.

Fornece suporte a várias construções geométricas, assim como a muitas ferramentas baseadas em cálculo (derivadas, circunferência osculatriz, ...).

Arquivos do GeoGebra podem ser exportados para muitos formatos diferentes, ou como miniaplicativos (applets) iterativos para páginas web.

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geomview
programa de visualização de geometria interativo
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Geomview é um programa de geometria interativo que é particularmente apropriado para pesquisa e educação em matemática. Em particular, geomview pode exibir coisas em espaços hiperbólicos e esféricos assim como em espaços euclideanos.

Geomview permite múltiplos objetos e câmeras controlados independentemente. Ele fornece controle interativo para movimento, aparência (incluindo iluminação, sombreamento e materiais), pinçar um objeto por vértice ou aresta, tirar fotos em formato de arquivos de imagem SGI ou Renderman RIB, e adicionar ou apagar objetos usando o mouse, por painéis de controle ou por teclas de atalho. Programas externos podem controlar aspectos desejados do visualizador (como carregar continuamente a alteração da geometria ou controlar o movimento de certos objetos) enquanto permite o controle interativo de todo o resto.

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gerris
Fluid Flow Solver
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Gerris is a system for the solution of the partial differential equations describing fluid flow.

A brief summary of its main (current) features:

  • Solves the time-dependent incompressible variable-density Euler, Stokes or Navier-Stokes equations
  • Adaptive mesh refinement: the resolution is adapted dynamically to the features of the flow
  • Entirely automatic mesh generation in complex geometries
  • Second-order in space and time
  • Unlimited number of advected/diffused passive tracers
  • Flexible specification of additional source terms
  • Portable parallel support using the MPI library
  • Volume of Fluid advection scheme for interfacial flows

This package has MPI support built in.

getdp
general environment for the treatment of discrete problems
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GetDP is a general finite element solver using mixed elements to discretize de Rham-type complexes in one, two and three dimensions.

The main feature of GetDP is the closeness between the input data defining discrete problems (written by the user in ASCII data files) and the symbolic mathematical expressions of these problems.

See GetDP's reference manual for a more thorough overview of GetDP's capabilities: http://www.geuz.org/getdp

Please cite: P. Dular, C. Geuzaine, A. Genon and W. Legros: An evolutive software environment for teaching finite element methods in electromagnetism. IEEE Transactions on Magnetics 35(3):1682 - 1685 (1999)
gfan
program for computing with Groebner fans
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Gfan is a software package for computing Groebner fans and tropical varieties. These are polyhedral fans associated to polynomial ideals. The maximal cones of a Groebner fan are in bijection with the marked reduced Groebner bases of its defining ideal. The software computes all marked reduced Groebner bases of an ideal. Their union is a universal Groebner basis. The tropical variety of a polynomial ideal is a certain subcomplex of the Groebner fan. Gfan contains algorithms for computing this complex for general ideals and specialized algorithms for tropical curves, tropical hypersurfaces and tropical varieties of prime ideals. In addition to the above core functions the package contains many tools which are useful in the study of Groebner bases, initial ideals and tropical geometry. Among these are an interactive traversal program for Groebner fans and programs for graphical renderings.

For ordinary Groebner basis computations Gfan is not competitive in speed compared to programs such as CoCoA, Singular and Macaulay2.

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ginac-tools
GiNaC symbolic framework support tools
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GiNaC (which stands for "GiNaC is Not a CAS (Computer Algebra System)") is a library for doing symbolic (i.e. non-numeric) computation directly in the C++ programming language.

This package provides some additional tools, like the popular ginsh (GiNaC interactive shell) and viewgar (for inspecting GiNaC archive files).

gmsh
gerador de malha de elementos finitos tridimensionais
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Gmsh é um gerador de grade de elementos finitos 3D com um motor CAD integrado e pós-processador. Seu objetivo de design é fornecer uma ferramenta de malha rápida, leve e fácil de usar com entrada paramétrica e recursos avançados de visualização. O Gmsh é construído em torno de quatro módulos: geometria, malha, solucionador e pós-processamento. A especificação de qualquer entrada para esses módulos é feita interativamente usando a interface gráfica de usuário(a) ou em arquivos de texto ASCII usando a própria linguagem de script do Gmsh.

Consulte o manual de referência do Gmsh para obter uma visão geral mais completa dos recursos do Gmsh.

Please cite: C. Geuzaine and J.-F. Remacle: Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. (eprint) International Journal for Numerical Methods in Engineering 79(11):1309-1331 (2009)
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graphviz
Rico conjunto de ferramentas de desenho de grafos
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Desenho de grafos trata do problema de visualizar informação estrutural construindo representações geométricas de redes e grafos abstratos. Geração automática de desenhos de grafos tem importantes aplicações em tecnologias chave tais como projeto de banco de dados, engenharia de software, VLSI, projeto de rede e interfaces visuais em outros domínios. Situações onde essas ferramentas podem ser muito úteis:

  • Você precisa reestruturar um programa e precisa primeiro entender as relaçoes entre os seus tipos, procedimentos e códigos fonte
  • Você precisa encontrar os gargalos em um "backbone" de internet - não apenas links individuais, mas suas relações
  • Você está depurando um protocolo ou microarquitetura representada como uma máquina de estado finito e precisa descobrir como surge um certo estado de erro
  • Você gostaria de procurar em um esquema de banco de dados, base de conhecimento ou programa distribuído representado graficamente
  • Você gostaria de ter uma visão geral de uma coleção de documentos vinculados
  • Você gostaria de descobrir padrões e comunidades de interesse em um] banco de dados de chamadas de telefone ou mensagens de e-mail

Este pacote contém as ferramentas de linha de comando.

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hol-light
HOL Light theorem prover
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HOL Light is an interactive theorem prover for Higher-Order Logic with a very simple logical core running in an OCaml toplevel. HOL Light is famous for the verification of floating-point arithmetic as well as for the Flyspeck project, which aimed at the formalization of Tom Hales' proof of the Kepler conjecture.

julia
high-performance programming language for technical computing
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Julia is a high-level, high-performance dynamic programming language for technical computing, with syntax that is familiar to users of other technical computing environments. It provides a sophisticated compiler, distributed parallel execution, numerical accuracy, and an extensive mathematical function library. The library, mostly written in Julia itself, also integrates mature, best-of-breed C and Fortran libraries for linear algebra, random number generation, FFTs, and string processing. Julia programs are organized around defining functions, and overloading them for different combinations of argument types (which can also be user-defined).

This package provides a complete Julia installation (JIT compiler, standard library, text-based user interface).

lcalc
program for calculating with L-functions
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lcalc is a program for computing zeros and values of L-functions. Supported L-functions include the Riemann zeta function, the L-function of the Ramanujan delta function, and L-functions of elliptic curves defined over the rationals.

libjgrapht-java
Java library of graph theory data structures and algorithms
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JGraphT is a free Java class library that provides mathematical graph-theory objects and algorithms. In JGraphT, a graph is defined as a set of vertices connected by a set of edges.

It is possible to define graphs, to modify, compare or generate them, to run many algorithms through them. One may also import or export graphs.

libmatheval1
GNU library for evaluating symbolic mathematical expressions (runtime)
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GNU libmatheval is a library comprising of several procedures that make it possible to create an in-memory tree representation of mathematical functions over single or multiple variables and later use this representation to evaluate functions for specified variable values, to create corresponding trees for function derivatives over specified variables or to print textual representations of in-memory trees to a specified string. The library supports arbitrary variable names in expressions, decimal constants, basic unary and binary operators and elementary mathematical functions.

This package contains the runtime shared library.

lp-solve
resolve problemas de programação linear (inteira mista)
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O problema de programação linear (PL) pode ser formulado como: Resolva A.x >= V1, com V2.x maximal. A é uma matriz, x é um vetor de variáveis (não-negativas), V1 é um vetor chamado "lado direito da equação", e V2 é um vetor especificando a função objetivo.

Um problema de programação linear inteira (PLI) é um PL com a restrição de que todas as variáveis sejam inteiras. Num problema de programação linear inteira mista (PLIM), algumas das variáveis são inteiras e outras são reais.

O programa lp_solve resolve problemas PL, PLI e PLIM. Ele é levemente mais genérico que o sugerido acima, já que cada linha de A (especificando uma restrição) pode ter sua própria (in)equação, <=, >= ou =. O resultado especifica os valores de todas as variáveis.

lp_solve usa o algoritmo 'Simplex' e métodos de matrizes esparsas para problemas LP puros. Se uma ou mais das variáveis é declarada inteira, o algoritmo Simplex é iterado com um algoritmo de bifurcação e limite ("branch and bound"), até que a solução ótima desejada ser encontrada. lp_solve pode ler arquivos de entrada no formato MPS.

lrcalc
programs for calculating Littlewood-Richardson coefficients
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The "Littlewood-Richardson Calculator" is a package of C programs for computing Littlewood-Richardson coefficients, providing fast calculation of single LR coefficients, products of Schur functions, and skew Schur functions. Its interface uses the same notation as the SF package of John Stembridge, to make it easier to use both packages at the same time.

This package contains the command-line programs.

lrslib
package to enumerate vertices and extreme rays of a convex polyhedron
Maintainer: David Bremner
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A convex polyhedron is the set of points satisfying a finite family of linear inequalities. The study of the vertices and extreme rays of such systems is important and useful in e.g. mathematics and optimization. In a dual interpretation, finding the vertices of a (bounded) polyhedron is equivalent to finding the convex hull (bounding inequalities) of an (arbitrary dimensional) set of points. Lrs (lexicographic reverse search) has two important features that can be very important for certain applications: it works in exact arithmetic, and it consumes memory proportional to the input, no matter how large the output is.

macaulay2
Software system for algebraic geometry research
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Macaulay 2 is a software system for algebraic geometry research, written by Daniel R. Grayson and Michael E. Stillman. Based on Groebner bases, it provides algorithms for computing homological invariants of rings and modules.

This package contains the architecture dependent portion of Macaulay2.

Please cite: Daniel R. Grayson and Michael E. Stillman: Macaulay2, a software system for research in algebraic geometry.
magnus
Very simple screen magnifier
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Magnus is a simple screen magnifying glass. It nicely integrates with X11 desktops like MATE or Xfce (probably with others not named here, too).

Visually impaired users may find this tool helpful for zooming into certain screen areas in order to improve readability/visibilty of fonts, icons and other data.

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mathicgb
Compute Groebner bases (command line tool)
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Mathicgb is a program for computing Groebner basis and signature Groebner bases. Mathicgb is based on the fast data structures from mathic.

The paper "Practical Groebner Basis Computation" describes the algorithms in Mathicgb from a high level. It was presented at ISSAC 2012 and is available at http://arxiv.org/abs/1206.6940

This package contains the command line tool.

Please cite: Bjarke Hammersholt Roune and Michael Stillman: Practical Groebner Basis Computation. (eprint) Proceedings of the International Symposium on Symbolic and Algebraic Computation (2012)
mathomatic
portable Computer Algebra System (CAS)
Maintainer: tony mancill
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Mathomatic implements most of the rules of algebra for the mathematical operators +, -, *, /, % (modulus), and power (including roots).

Mathomatic can symbolically:

  • combine and solve equations,
  • completely simplify and compare expressions and equations,
  • do simple calculus transformations and series,
  • do standard, complex number, modular, and polynomial arithmetic,
  • generate optimized C, Java, and Python language code from simplified equations,
  • plot expressions with gnuplot in two or three dimensions,
  • do quick calculations, colorize expressions, etc.
matita
??? missing short description for package matita :-(
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maxima-sage
Computer algebra system -- base system
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Maxima is a fully symbolic computation program. It is full featured doing symbolic manipulation of polynomials, matrices, rational functions, integration, Todd-coxeter methods for finite group analysis, graphing, multiple precision floating point computation. It has a symbolic source level debugger for maxima code. Maxima is based on the original Macsyma developed at MIT in the 1970s. It is quite reliable, and has good garbage collection, and no memory leaks. It comes with hundreds of self tests.

The maxima-sage packages are meant to be used together with SageMath. They contain the version of Maxima that works together with the SageMath version in Debian and use ECL instead of GCL as Lisp compiler. To use Maxima by itself, the more complete and up-to-date maxima package is recommended.

This package contains the main executables and base system files.

mcl
Markov Cluster algorithm
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The MCL package is an implementation of the MCL algorithm, and offers utilities for manipulating sparse matrices (the essential data structure in the MCL algorithm) and conducting cluster experiments.

MCL is currently being used in sciences like biology (protein family detection, genomics), computer science (node clustering in Peer-to-Peer networks), and linguistics (text analysis).

The package is enhanced by the following packages: zoem
Please cite: Stijn van Dongen and Cei Abreu-Goodger: Using MCL to extract clusters from networks. (PubMed,eprint) Methods Mol Biol. 804:281-95 (2012)
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minisat
Fast and lightweight SAT solver
Maintainer: Michael Tautschnig
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Despite the NP completeness of the satisfiability problem of Boolean formulas (SAT), SAT solvers are often able to decide this problem in a reasonable time frame. As all other NP complete problems are reducible to SAT, the solvers have become a general purpose tool for this class of problems.

MiniSat is a minimalistic, open-source SAT solver, developed to help researchers and developers alike to get started on SAT. Winning all the industrial categories of the SAT 2005 competition, MiniSat is a good starting point both for future research in SAT, and for applications using SAT.

model-builder
graphical ODE simulator
Maintainer: Varun Hiremath (Olly Betts)
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Model Builder is a graphical tool for designing, simulating and analyzing Mathematical model consisting of a system of ordinary differential equations(ODEs).

mumps-test
Example/test binaries using MUMPS
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MUMPS implements a direct solver for large sparse linear systems, with a particular focus on symmetric positive definite matrices. It can operate on distributed matrices e.g. over a cluster. It has Fortran and C interfaces, and can interface with ordering tools such as Scotch.

nauty
library for graph automorphisms -- interface and tools
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nauty (No AUTomorphisms, Yes?) is a set of procedures for computing automorphism groups of graphs and digraphs. This mathematical software suite is developed by Brendan McKay and Adolfo Piperno: http://pallini.di.uniroma1.it

nauty computes graph information in the form of a set of generators, the size of the group, and the orbits of the group; it can also produce a canonical label. The nauty suite is written in C and comes with a command-line interface, a collection of command-line tools, and an Application Programming Interface (API).

This package provides the nauty interface named dreadnaut, and a small collection of utilities called gtools.

The package is enhanced by the following packages: nauty-doc
Please cite: B.D. McKay and A. Piperno: Practical graph isomorphism, II. Journal of Symbolic Computation 60(0):94 - 112 (2014)
netgen
gerador tetraédrico 3d automático
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NETGEN é um gerador automático de estruturas entrelaçadas tetraédricas 3d. Ele aceita entrada de geometria sólida construtiva (CSG - constructive solid geometry) ou representação limítrofe (BRep) formato de arquivo STL. O NETGEN contém módulos para otimização de estruturas entrelaçadas e refinamento hierárquico.

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normaliz
math computing tools for affine monoids, rational polytopes and cones
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Normaliz is a mathematical tool for computations in affine monoids, vector configurations, lattice polytopes, and rational cones.

This dummy package provides the standard installation.

octave
linguagem Octave da GNU para cálculos numéricos
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Octave é uma linguagem de alto nível (quase totalmente compatível com o MATLAB®) criada principalmente para cálculos numéricos. Ela provê uma interface de linha de comando conveniente para a resolução numérica de problemas lineares e não-lineares.

Octave pode ser estendido dinamicamente com arquivos C++ fornecidos pelo usuário.

The package is enhanced by the following packages: liboctave-dev octave-dev octave-doc texmacs-bin
Please cite: John W. Eaton, David Bateman, Søren Hauberg and Rik Wehbring: GNU Octave version 4.2.0 manual: a high-level interactive language for numerical computations. (2016)
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palp
pacote para análise de polítopos integrais
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Este pacote contém várias ferramentas para trabalhar com polítopos integrais (lattice polytopes):

  • mori.x calcula triangulações em estrela de um polítopo
  • cws.x cria sistemas de peso e sistemas de peso combinados
  • class.x classifica polítopos reflexivos
  • poli.x calcula dados de um polítopo
  • nef.x calcula números de Hodge de partições nef
Please cite: Maximilian Kreuzer and Harald Skarke: PALP: A Package for Analyzing Lattice Polytopes with Applications to Toric Geometry. Computer Physics Communications 157:87-106 (2004)
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pari-gp
PARI/GP Computer Algebra System binaries
Maintainer: Bill Allombert
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PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves...), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions. PARI is also available as a C library to allow for faster computations.

Originally developed by Henri Cohen and his co-workers (University Bordeaux I, France), PARI is now under the GPL and maintained by Karim Belabas with the help of many volunteer contributors.

This package contains the GP calculator.

The package is enhanced by the following packages: texmacs-bin
persalys
GUI for uncertainty treatment and variabilities management
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Persalys is a graphical user interface for OpenTURNS, dedicated to the treatment of uncertainty and the management of variabilities. The software is a tool between the computer simulation, probabilistic analyses and the data sciences. The interface is available in French or in English.

Persalys allows one to:

  • create mathematical models: analytical, coupling with an external model (finite elements, ...), FMU;
  • analyse the variability of one's parameters thanks to many methods and visualisation tools;
  • statistically analyse one's measuring data, infer probability distributions or create metamodels.
phcpack
general-purpose solver for polynomial systems (command line)
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PHCpack is a software package to solve polynomial systems by homotopy continuation methods.

A polynomial system is given as a sequence of polynomials in several variables. Homotopy continuation methods operate in two stages. In the first stage, a family of polynomial systems (the so-called homotopy) is constructed. This homotopy contains a polynomial system with known solutions. In the second stage, numerical continuation methods are applied to track the solution paths defined by the homotopy, starting at the known solutions and leading to the solutions of the given polynomial system.

This package contains the command line interface to PHCpack.

Please cite: Verschelde, Jan: Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation ACM Trans. Math. Software 25(2):251-276 (1999)
planarity
Program for planarity-related graph algorithms
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This package contains a command-line reference implementation of the Edge Addition Planarity Algorithm, which is the best linear-time method to embed a planar graph and isolate planarity obstructions.

polylib-utils
Various tools using libpolylib
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Polylib is a free C library for doing computations on polyhedra. The library is operating on objects like vectors, matrices, lattices, polyhedra, Z-polyhedra, unions of polyhedra and other intermediary structures. It provides functions for all important operations on these structures.

This package contains various utilities to perform polyhedral operations.

proofgeneral
generic frontend for proof assistants
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Proof General is a major mode to turn Emacs into an interactive proof assistant to write formal mathematical proofs using a variety of theorem provers.

This package provides Proof General support for Coq. (There is no other proof assistant that one could sensibly support.)

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prover9
theorem prover and countermodel generator
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This package provides the Prover9 resolution/paramodulation theorem prover and the Mace4 countermodel generator.

Prover9 is an automated theorem prover for first-order and equational logic. It is a successor of the Otter prover. Prover9 uses the inference techniques of ordered resolution and paramodulation with literal selection.

The program Mace4 searches for finite structures satisfying first-order and equational statements, the same kind of statement that Prover9 accepts. If the statement is the denial of some conjecture, any structures found by Mace4 are counterexamples to the conjecture.

Mace4 can be a valuable complement to Prover9, looking for counterexamples before (or at the same time as) using Prover9 to search for a proof. It can also be used to help debug input clauses and formulas for Prover9.

pyomo
??? missing short description for package pyomo :-(
Maintainer: Daniel Stender
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python3-deap
Distributed Evolutionary Algorithms in Python3
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DEAP is a novel evolutionary computation framework for rapid prototyping and testing of ideas. It seeks to make algorithms explicit and data structures transparent. It works in perfect harmony with parallelisation mechanism such as multiprocessing and SCOOP.

This package contains the modules for Python3.

python3-dolfin
Base Python interface for DOLFIN (Python 3)
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DOLFIN is the Python and C++ interface of the FEniCS project for the automated solution of differential equations, providing a consistent PSE (Problem Solving Environment) for solving ordinary and partial differential equations. Key features include a simple, consistent and intuitive object-oriented API; automatic and efficient evaluation of variational forms; automatic and efficient assembly of linear systems; and support for general families of finite elements.

This is the base package depending on specific dolfin builds. By default the version built against the preferred version of PETSc in /usr/lib/petsc is selected (with 32-bit indexing, but the alternative version (64-bit PETSc) can be selected by setting the environment variable PETSC_DIR.

This is the legacy version of DOLFIN, you may want to install the next-generation python3-dolfinx (DOLFIN-X) instead.

python3-ffc
compiler for finite element variational forms (Python 3)
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The FEniCS Form Compiler FFC provides state-of-the-art automatic and efficient evaluation of general multilinear forms (variational formulations) for FEniCS. FFC functions as the form evaluation system for DOLFIN but can also be used to compile forms for other systems.

FFC works as a compiler for multilinear forms by generating code (C or C++) for the evaluation of a multilinear form given in mathematical notation. This new approach to form evaluation makes it possible to combine generality with efficiency; the form can be given in mathematical notation and the generated code is as efficient as hand-optimized code.

This package installs the legacy FFC library for Python 3.

You may want to consider installing python3-ffcx instead to get the next-generation FFC-X.

python3-minieigen
Wrapper of parts of the Eigen library (Python 3)
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Small wrapper for core parts of Eigen, c++ library for linear algebra. It is mainly useful for inspecting c++ code which already uses eigen and boost::python. Supported types are Vectors (2,3,6 and dynamic-sized with integer and floating-point values), Matrices (3x3, 6x6 and dynamic-sized with floating-point values) and Quaternions. Numerous methods are wrapped and the original API of Eigen is followed.

This is the Python 3 version of the package.

python3-openturns
Python3 front-end of OpenTURNS (aka TUI)
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OpenTURNS is a powerful and generic tool to treat and quantify uncertainties in numerical simulations in design, optimization and control. It allows both sensitivity and reliability analysis studies:

  • defining the outputs of interest and decision criterion;
  • quantify and model the source of uncertainties;
  • propagate uncertainties and/or analyse sensitivity and
  • rank the sources of uncertainty

Targeted users are all engineers who want to introduce the probabilistic dimension in their so far deterministic studies.

This package provides the Python3 bindings to the library.

python3-persalys
GUI for uncertainty treatment (Python bindings)
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Persalys is a graphical user interface for OpenTURNS, dedicated to the treatment of uncertainty and the management of variabilities. The software is a tool between the computer simulation, probabilistic analyses and the data sciences. The interface is available in French or in English.

Persalys allows one to:

  • create mathematical models: analytical, coupling with an external model (finite elements, ...), FMU;
  • analyse the variability of one's parameters thanks to many methods and visualisation tools;
  • statistically analyse one's measuring data, infer probability distributions or create metamodels.

This package contains the Python3 bindings.

python3-sagenb-export
Convert SageNB Notebooks (Python 3)
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This is a tool to convert SageNB notebooks to other formats, in particular IPython/Jupyter notebooks.

python3-ufl
unified language for form-compilers (Python 3)
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UFL (Unified Form Language) is a unified language for definition of variational forms intended for finite element discretization. More precisely, it defines a fixed interface for choosing finite element spaces and defining expressions for weak forms in a notation close to mathematical notation. The form compilers FFC and SyFi use UFL as their end-user interface, producing UFC implementations as their output.

This package installs the library for Python 3.

qepcad
quantifier elimination tool
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QEPCAD is an implementation of quantifier elimination by partial cylindrical algebraic decomposition due originally to Hoon Hong, and subsequently added on to by many others. It is an interactive command-line program written in C/C++, and based on the SACLIB library. Presented here is QEPCAD B version 1.x, the "B" designating a substantial departure from the original QEPCAD and distinguishing it from any development of the original that may proceed in a different direction. QEPCAD and the SACLIB library are the result of a program of research by George Collins and his PhD students that has spanned several decades ... and continues still!

qhull-bin
calculate convex hulls and related structures (utilities)
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Qhull computes convex hulls, Delaunay triangulations, halfspace intersections about a point, Voronoi diagrams, furthest-site Delaunay triangulations, and furthest-site Voronoi diagrams. It runs in 2-d, 3-d, 4-d, and higher dimensions.

This package contains the qhull executable that gives a pipe interface to some of the functionality of the library. Also included is rbox is a useful tool in generating input for Qhull; it generates hypercubes, diamonds, cones, circles, simplices, spirals, lattices, and random points.

Qhull produces graphical output for Geomview. This helps with understanding the output (http://www.geomview.org).

qsopt-ex
Exact linear programming solver
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QSopt-ex is an implementation of a simplex-based algorithm that returns exact rational solutions, taking advantage of the speed of floating-point calculations and attempting to minimize the operations performed in rational arithmetic.

This package contains the command-line utilities.

Please cite: David L Applegate, William Cook, Sanjeeb Dash and Daniel G Espinoza: Exact solutions to linear programming problems. Operations Research Letters 35(6):693-699 (2007)
regina-normal
mathematical software for low-dimensional topology
Maintainer: Ben Burton
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Regina is a software package for 3-manifold and 4-manifold topologists, with a focus on triangulations, knots and links, normal surfaces, and angle structures.

For 3-manifolds, it includes high-level tasks such as 3-sphere recognition, connected sum decomposition and Hakenness testing, comes with a rich database of census manifolds, and incorporates the SnapPea kernel for working with hyperbolic manifolds. For 4-manifolds, it offers a range of combinatorial and algebraic tools, plus support for normal hypersurfaces. For knots and links, Regina can perform combinatorial manipulation, compute knot polynomials, and work with several import/export formats.

Regina comes with a full graphical user interface, as well as Python bindings and a low-level C++ programming interface.

This package includes the graphical user interface and the command-line Python interface. The users' handbook and the API documentation are in the separate package regina-normal-doc.

rheolef
efficient Finite Element environment
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Rheolef is a computer environment that serves as a convenient laboratory for computations in applied mathematics involving finite element-like methods. It provides a set of commands and C++ algorithms and containers.

Most basically, containers cover the classic graph data structure for sparse matrix formats and finite element meshes. At a higher level of abstraction, they can handle approximate finite element spaces, discrete fields. Flexible and powerful expressions are used to specify bilinear forms.

Current applications include:

  • massively distributed memory finite element environment, based on MPI;
  • elasticity, Stokes and Navier-Stokes problems in 2D and 3D;
  • complex fluids applications: viscoplasticity, viscoelasticity, wall slip;
  • nonlinear problems with fixed-point, Newton and continuation methods;
  • high order polynomials, mixed elements and discontinuous Galerkin methods;
  • auto-adaptive mesh approaches;
  • axisymmetric problems;
  • multi-regions and variable coefficient problems.

This package provides the rheolef commands. These support input and output in various file formats for mesh-generators and numerical data visualization systems such as paraview, and gnuplot.

Please cite: Piere Saramito: (2016)
rubiks
Small collection of Rubik's cube solvers
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This package contains several different Rubik's cube solvers, either useful directly on the command-line or through sagemath.

Michael Reid's "optimal" uses pre-computed tables to find an optimal solution to the 3x3x3 Rubik's cube.

Dik T.Winter's "dikcube" uses Kociemba's algorithm to iteratively find a short solution to the 3x3x3 cube.

Eric Dietz' "cubex" has fast non-optimal solver for the 3x3x3 cube.

sagemath
Open Source Mathematical Software
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SageMath is a free open-source mathematics software system licensed under the GPL. It builds on top of many existing open-source packages: NumPy, SciPy, matplotlib, Sympy, Maxima, GAP, FLINT, R and many more. Access their combined power through a common, Python-based language or directly via interfaces or wrappers.

Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.

This package contains the main SageMath installation.

The package is enhanced by the following packages: texmacs-bin
sagemath-database-conway-polynomials
Database of Conway polynomials
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This package contains a small database of Conway polynomials, for primes up to 109987 and a various number of exponents.

It is part of the sagemath software suite.

sagemath-database-cremona-elliptic-curves
Databases of elliptic curves over the rationals
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This package contains John Cremona's database of all elliptic curves over the rationals of bounded conductor.

It is a complement to the sagemath software suite.

sagemath-database-elliptic-curves
Databases for elliptic curves
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This package contains in fact two databases: - the subset of John Cremona's database of elliptic curves up to conductor at most 10000 - William Stein's database of interesting elliptic curves

It is part of the sagemath software suite.

sagemath-database-graphs
Databases of graphs
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This package contains a database of graphs, created by Emily Kirkman based on the work of Jason Grout. It also contains the ISGCI graph database.

It is part of the sagemath software suite.

sagemath-database-mutually-combinatorial-designs
Databases of combinatorial designs
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This package contains a database of mutually orthogonal Latin squares, as found in the Handbook of Combinatorial Designs, 2ed.

It is part of the sagemath software suite.

sagemath-database-polytopes
Databases of polytopes
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This package contains a database of 2-dimension and of 3-dimensional reflexive polytopes.

It is part of the sagemath software suite.

science-statistics
Debian Science Statistics packages
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This metapackage is part of the Debian Pure Blend "Debian Science" and installs packages related to statistics. This task is a general task which might be useful for any scientific work. It depends from a lot of R packages as well as from other tools which are useful to do statistics. Moreover the Science Mathematics task is suggested to optionally install all mathematics related software.

scilab
pacote de software científico para cálculos numéricos
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Scilab é um pacote de software científico baseado em matriz. Ele contém centenas de funções matemáticas embutidas, estruturas de dados ricas (incluindo polinômios, racionais, sistemas lineares, listas etc) e conta com uma série de caixas de ferramentas específicas para controle, processamento de sinal etc.

Este pacote também fornece o Xcos, um editor gráfico para projetar modelos de sistemas dinâmicos híbridos. Os modelos podem ser projetados, carregados, salvos, compilados e simulados. Solução estável e eficiente para as necessidades acadêmicas e industriais, Xcos fornece funcionalidades para a modelagem de sistemas mecânicos (automóvel, aeronáutica etc), circuitos hidráulicos (barragem, modelagem de tubo etc), sistemas de controle e outros. A capacidade Modelica também é fornecida.

Para uma versão mínima do scilab, instale o pacote "scilab-cli".

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scilab-ann
??? missing short description for package scilab-ann :-(
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scotch
programas e bibliotecas para particionamento de grafos, malhas e hipergrafos
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Seu propósito é aplicar a teoria dos grafos, com uma abordagem de dividir e conquistar, para problemas de computação científica como particionamento de grafo e malha, mapeamento estático e ordenação de matriz esparsa, em domínios de aplicação que variam desde mecânica estrutural a sistemas operacionais ou bioquímica.

A distribuição SCOTCH é um conjunto de programas e bibliotecas que implementam os algoritmos de reordenamento de matriz esparsa e mapeamento estático desenvolvidos dentro do projeto SCOTCH.

SCOTCH tem muitas características interessantes:

  • Seus recursos podem ser usados através de um conjunto de programas autônomos, bem como através da biblioteca libSCOTCH, que oferece tanto interfaces em C quanto Fortran.

  • Fornece algoritmos para particionar estruturas de grafos, bem como estruturas de malha definidas como grafos bipartidos de elementos de nó, e que também podem representar hipergrafos.

  • Pode mapear qualquer grafo de origem ponderada em qualquer grafo alvo ponderado. Os grafos de origem e alvo podem ter qualquer topologia, e seus vértices e bordas podem ser ponderados. Além disso, grafos de origem e alvo podem ser desconectados. Este recurso permite o mapeamento de programas em subpartes desconectadas de uma arquitetura paralela feita a partir de processadores heterogêneos e links de comunicação.

  • Calcula ordenações de blocos amalgamados de matrizes esparsas, para soluções eficientes usando rotinas BLAS.

  • Seu tempo de execução é linear no número de bordas do grafo de origem, e logarítmico no número de vértices do grafo-alvo para cálculos de mapeamento.

  • Pode lidar indiferentemente com grafos e estruturas de dados de malha criadas dentro de programas C ou Fortran, com índices matriciais a partir de 0 ou 1.

  • Oferece suporte estendido para malhas e grafos adaptativos através do manuseio de matrizes de bordas disjuntas.

  • É dinamicamente parametrizável graças a strings de estratégia que são interpretadas em tempo de execução.

  • Usa memória do sistema de forma eficiente para processar grandes grafos e malhas sem incorrer em falhas de falta de memória;

  • É altamente modular e documentado. Desde que foi lançado sob a licença de software livre/libre CeCILL-C, pode ser usado como um ambiente de teste para fácil e rápido desenvolvimento, e para testes de novos métodos de particionamento e ordenação.

  • Pode ser facilmente conectado a outros programas. Os programas que compreendem o projeto SCOTCH foram projetados para serem executados no modo de linha de comando sem qualquer prompt interativo, para que possam ser chamados facilmente por outros programas por meio de chamadas system() ou popen(), ou canalizadas (via pipe) em uma única linha de comando. Além disso, capacidades de rotulagem de vértices permitem fácil renumeração de vértices.

  • Fornece muitas ferramentas para construir, verificar e exibir padrões de grafos, malhas e matrizes.

  • É escrito em C e usa a interface POSIX, o que o torna altamente portátil. PT-SCOTCH usa a interface MPI, e opcionalmente threads POSIX.

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singular
Computer Algebra System for Polynomial Computations
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SINGULAR is a Computer Algebra System (CAS) for polynomial computations with emphasis on the special needs of commutative algebra, algebraic geometry, and singularity theory.

This dummy package provides the standard installation.

snappea
program for creating and studying hyperbolic 3-manifolds
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SnapPea is Jeff Weeks' computational tool for mathematicians working in low-dimensional topology. It is used for creating and studying hyperbolic 3-manifolds, and is accessible via Python scripts as well as through a traditional graphical user interface.

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surf-alggeo
visualization of real algebraic geometry
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Surf is a script driven tool to visualize some real algebraic geometry: plane algebraic curves, algebraic surfaces and hyperplane sections of surfaces.

The algorithms should be stable enough not to be confused by curve/surface singularities in codimension greater than one and the degree of the surface or curve. This has been achieved quite a bit. Curves of degree up to 30 and surfaces of degree up to 20 have been drawn successfully. However, there are examples of curves/surfaces of lower degree where surf fails to produce perfect images. This happens especially if the equation of the curve/surface is not reduced. Best results are achieved using reduced equations. On the other hand, surf displays the Fermat-curves accurately for degree up to 98.

Surf is free software distributed under the GNU General Public License (GPL).

This dummy package is meant to allow multi-variant support for surf.

sympow
mathematical program for SYMmetric POWer elliptic curve L-functions -- program
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SYMPOW is a mathematical program to compute special values of symmetric power elliptic curve L-functions; it can compute up to about 64 digits of precision.

This package provides the SYMPOW program itself.

tachyon
Parallel/Multiprocessor Standalone Ray Tracer - metapackage
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Tachyon is a portable, high performance parallel ray tracing system supporting MPI and multithreaded implementations. Tachyon is built as a C callable library, which can be used within applications.

Tachyon implements all of the basic geometric primitives such as triangles, planes, spheres, cylinders, etc. Some of the goals in developing Tachyon were to make it fast and for it to parallelize well. These are what set it apart from more full-featured programs like POV-Ray, Rayshade, and others. Tachyon supports enough features to be an excellent alternative to slower programs for demanding animation and scientific visualization tasks.

This metapackage allows multi-variant support for tools built upon tachyon.

tetgen
Quality Tetrahedral Mesh Generator
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TetGen generates the Delaunay tetrahedralization, Voronoi diagram, and convex hull for three-dimensional point sets, generates the constrained Delaunay tetrahedralizations and quality tetrahedral meshes for three-dimensional domains with piecewise linear boundary.

topcom
Triangulations Of Point Configurations and Oriented Matroids
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TOPCOM is a collection of clients to compute Triangulations Of Point Configurations and Oriented Matroids, resp.

The algorithms use only combinatorial data of the point configuration as is given by its oriented matroid. Some basic commands for computing and manipulating oriented matroids can also be accessed by the user.

It was very much inspired by the maple program PUNTOS, which was written by Jesus de Loera. TOPCOM is entirely written in C++, so there is a significant speed up compared to PUNTOS.

toulbar2
Exact combinatorial optimization for Graphical Models
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Toulbar2 is an exact discrete optimization tool for Graphical Models such as Cost Function Networks, Markov Random Fields, Weighted Constraint Satisfaction Problems and Bayesian Nets.

wxmaxima
GUI for the computer algebra system Maxima
Maintainer: Gunter Königsmann
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wxMaxima is a graphical user interface for the computer algebra system Maxima. It eases the use of Maxima by making most of its commands available through a menu system and by providing input dialogs for commands that require more than one argument. It also implements its own display engine that outputs mathematical symbols directly instead of depicting them with ASCII characters.

wxMaxima also features 2D and 3D inline plots, simple animations, mixing of text and mathematical calculations to create documents, exporting of input and output to TeX, and a browser for Maxima's manual including command index and full text searching.

xcas
Computer Algebra System - console and graphical calculator
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Giac is a computer algebra system, following the development of the CAS for HP calculators. It has fast implementation of algorithms for polynomial operations, and compatibility mode with Maple or Mupad CAS as well as TI calculators.

This package contains the user-facing giac programs: xcas, icas, and pgiac; as well as the cas_help program for providing user-oriented help.

The package is enhanced by the following packages: texmacs-bin
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xmaxima
Computer algebra system -- x interface
Maintainer: Camm Maguire
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Maxima is a fully symbolic computation program. It is full featured doing symbolic manipulation of polynomials, matrices, rational functions, integration, Todd-coxeter methods for finite group analysis, graphing, multiple precision floating point computation. It has a symbolic source level debugger for maxima code. Maxima is based on the original Macsyma developed at MIT in the 1970s. It is quite reliable, and has good garbage collection, and no memory leaks. It comes with hundreds of self tests.

This package contains an X Windows interface using the tcl/tk libraries.

xmds
??? missing short description for package xmds :-(
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xmds2
eXtensible Multi-Dimensional Simulator
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XMDS is a code generator that integrates equations, from Ordinary Differential Equations (ODEs) up to stochastic Partial Differential Equations (PDEs). You write them down in human readable form in an XML file, and it goes away and writes and compiles a C++ program that integrates those equations as fast as it can possibly be done in your architecture.

XMDS 2 is a major upgrade rewritten in Python which is faster and far more versatile than previous versions, allowing the efficient integration of almost any initial value problem on regular domains.

Please cite: Graham R. Dennis, Joseph J. Hope and Mattias T. Johnsson: XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations. Computer Physics Communications 184(1):201-208 (2013)

Official Debian packages with lower relevance

ann-tools
biblioteca de Pesquisa Aproximada do Vizinho Mais Próximo (ferramentas)
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ANN é uma biblioteca escrita em C++. Ela suporta a estruturas de dados e algoritmos para pesquisa exata ou aproximada do vizinho mais próximo em dimensões arbitrariamente altas. ANN assume que as distâncias são medidas usando qualquer classe de funções de distância chamadas métricas Minkowski. Estas incluem as famosas distância euclidiana, distância de Manhattan e distância máxima. ANN é executada de forma bastante eficiente para conjuntos de pontos variando em tamanho dos milhares para as centenas de milhares e em dimensões tão altas quanto 20.

Este pacote contém os programas ann2fig (exibe saída ANN em formato fig) e * ann_sample (uma demonstração para o ANN).

evolver-nox
Surface Evolver - with no X support
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The Surface Evolver is an interactive program for the modelling of liquid surfaces shaped by various forces and constraints.

This package provides evolver variants built with different floating point formats (double, long double, quadruple) but with no X support.

The package is enhanced by the following packages: evolver-doc
evolver-ogl
Surface Evolver - with OpenGL display
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The Surface Evolver is an interactive program for the modelling of liquid surfaces shaped by various forces and constraints.

This package provides evolver variants built with different floating point formats (double, long double, quadruple) and with an OpenGL/GLUT display.

The package is enhanced by the following packages: evolver-doc
gap-gapdoc
GAPDoc - A Meta Package for GAP Documentation
Maintainer: Bill Allombert
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GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more.

This package contains GAPDoc, "A Meta Package for GAP Documentation", by Frank Lübeck and Max Neunhöffer, which is used to manage GAP documentation.

gap-io
low level C library IO bindings for GAP
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

This package allows GAP to access UNIX I/O C-library functions.

gap-online-help
GAP computer algebra system, online help
Maintainer: Bill Allombert
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GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more.

This package contains the documentation in TeX format needed for the online help system.

gap-scscp
SCSCP protocol in GAP
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GAP is a system for computational discrete algebra with particular emphasis on computational group theory, but which has already proved useful also in other areas.

This package implements the Symbolic Computation Software Composability Protocol (SCSCP) for GAP.

gmp-ecm
Factor integers using the Elliptic Curve Method
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gmp-ecm is a free implementation of the Elliptic Curve Method (ECM) for integer factorization.

The original purpose of the ECMNET project was to make Richard Brent's prediction true, i.e. to find a factor of 50 digits or more by ECM. This goal was attained on September 14, 1998, when Conrad Curry found a 53-digit factor of 2^677-1 c150 using George Woltman's mprime program. The new goal of ECMNET is now to find other large factors by ecm, mainly by contributing to the Cunningham project, most likely the longest, ongoing computational project in history according to Bob Silverman. A new record was set by Nik Lygeros and Michel Mizony, who found in December 1999 a prime factor of 54 digits using GMP-ECM.

See http://www.loria.fr/~zimmerma/records/ecmnet.html for more information about ecmnet.

This package provides the command line utility.

libspectra-dev
library for large scale eigenvalue problems (development files)
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Spectra stands for Sparse Eigenvalue Computation Toolkit as a Redesigned ARPACK. It is a C++ library for large scale eigenvalue problems, built on top of Eigen, an open source linear algebra library.

Spectra is implemented as a header-only C++ library, whose only dependency, Eigen, is also header-only. Hence Spectra can be easily embedded in C++ projects that require calculating eigenvalues of large matrices.

Spectra is designed to calculate a specified number of eigenvalues of a large square matrix. Usually this number of eigenvalues is much smaller than the size of the matrix, so that only a few eigenvalues and eigenvectors are computed, which in general is more efficient than calculating the whole spectral decomposition. Users can choose eigenvalue selection rules to pick the eigenvalues of interest, such as the largest k eigenvalues, or eigenvalues with largest real parts, etc.

netgen-doc
Automatic 3d tetrahedral mesh generator documentation
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NETGEN is an automatic 3d tetrahedral mesh generator. It accepts input from constructive solid geometry (CSG) or boundary representation (BRep) from STL file format. NETGEN contains modules for mesh optimization and hierarchical mesh refinement.

This package contains the user manual (in PDF format) and example files.

primesieve
fast prime number generator C/C++ library
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primesieve is a free software program and C/C++ library that generates primes using a highly optimized sieve of Eratosthenes implementation. primesieve can generate primes and prime k-tuplets up to nearly 2^64.

See http://primesieve.org/ for more information.

This dummy package provides the standard installation.

r-cran-evd
GNU R Functions for extreme value distributions
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Extends simulation, distribution, quantile and density functions to univariate and multivariate parametric extreme value distributions, and provides fitting functions which calculate maximum likelihood estimates for univariate and bivariate maxima models, and for univariate and bivariate threshold models.

Please cite: Alec G. Stephenson: evd: Extreme Value Distributions. R News 2(2):31-32 (2002)
sagetex
Embed Sage code and plots into LaTeX
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The SageTeX LaTeX package allows you to embed code, results of computations, and plots from the SageMath mathematics software suite into LaTeX documents. SageMath is an open-source Computer Algebra System (CAS).

This package provides the LaTeX package.

The package is enhanced by the following packages: sagetex-doc

Debian packages in contrib or non-free

matlab-support
distro integration for local MATLAB installations
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This package does not provide MATLAB. Instead, it configures an existing MATLAB installation to integrate more comfortably in a Debian installation.

Currently it provides /usr/bin/matlab through the alternatives system, offers to work around incompatibilities between the libraries bundled with MATLAB and system libraries, and provides a helper utility meant to be used by other packages to compile MEX extensions.

Install this if you would like your MATLAB installation to behave more like an ordinary Debian package. Other packages may depend on this one if they install MATLAB code, for example in order to compile MEX extensions.

Packaging has started and developers might try the packaging code in VCS

isabelle
generic theorem proving environment
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Version: 2008-4

Features a choice of several ready-to-use logics (Higher Order Logic, Higher Order Logic augmented with Scott's Logic for Computable Functions, First Order Logic, Zermello-Frankel, an extensional version of Martin-Löf Type Theory, Barendregt's Lambda Cube, a few sequent calculi (including modal and linear logics), ...) or defining your own logic / deductive system, a procedural and a declarative proof style, rich automation for classical reasoning, equational logic and algebra, LaTeX and X-Symbols notational support.

This package contains the isabelle toolchain.

Remark of Debian Science team: upstream prefers Isabelle not being packaged

There is an alternative software coq which is packaged in Debian (see above).

Unofficial packages built by somebody else

octaviz
3D visualization system for Octave
License: unknown

Octaviz is a visualization system for Octave. It is a wrapper that makes all VTK classes accessible from within Octave using the same object-oriented syntax as in C++ or Python. Octaviz also provides high-level functions for 2D and 3D visualization. Using those functions, most common visualization tasks (3D surface plots, contour plots etc) can be accomplished without any knowledge about VTK.

Remark of Debian Science team: Removed from Debian

This package was removed from Debian but some versions are available from http://snapshot.debian.org/

Reasons are given here: http://bugs.debian.org/535537

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