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This article introduces the Mathematica package \emph{HEPMath} which provides a number of utilities and algorithms for High Energy Physics computations in Mathematica. Its functionality is similar to packages like FormCalc or FeynCalc, but…

High Energy Physics - Phenomenology · Physics 2015-07-08 Martin Wiebusch

We have developed a Mathematica package capable of performing gamma-matrix algebra in arbitrary (integer) dimensions. As an application we can compute Fierz transformations.

High Energy Physics - Theory · Physics 2007-05-23 Ulf Gran

GroupMath is a Mathematica package which performs several calculations related to semi-simple Lie algebras and the permutation groups, both of which are important in particle physics as well as in other areas of research.

High Energy Physics - Theory · Physics 2021-07-28 Renato M. Fonseca

An introduction to the On-Line Encyclopedia of Integer Sequences (or OEIS, https://oeis.org) for graduate students in mathematics

History and Overview · Mathematics 2021-05-12 N. J. A. Sloane

We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect to unique normalized Haar measure. We describe a number of…

Computational Physics · Physics 2020-07-30 Zbigniew Puchała , Jarosław Adam Miszczak

This paper describes a package for calculations of expressions with Dirac matrixes. Advantages to existing similar packages are described. MatrixExp package is intended for simplification of complex expressions involving $\gamma$-matrixes,…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Poghosyan

We introduce the package combinatorics for the software CoCoA. This package provides a data structure and the necessary methods for computing several known enumerative combinatorial invariants.

Combinatorics · Mathematics 2026-02-16 Akin Scott , Michele Torielli

The article presents and documents the Mathematica package SymBuild. This package implements the computation and manipulation of integrable symbols appearing in various calculations in high-energy scattering amplitudes. By using Gr\"obner…

High Energy Physics - Theory · Physics 2018-11-01 Vladimir Mitev , Yang Zhang

Package-X, a Mathematica package for the analytic computation of one-loop integrals dimensionally regulated near 4 spacetime dimensions is described. Package-X computes arbitrarily high rank tensor integrals with up to three propagators,…

High Energy Physics - Phenomenology · Physics 2015-12-01 Hiren H. Patel

FinInG is a package for computation in Finite Incidence Geometry. It provides users with the basic tools to work in various areas of finite geometry from the realms of projective spaces to the flat lands of generalised polygons. The…

Combinatorics · Mathematics 2016-06-20 John Bamberg , Anton Betten , Philippe Cara , Jan De Beule , Max Neunhöffer , Michel Lavrauw

The package numericalsgps performs computations with and for numerical semigroups. Recently also affine semigroups are admitted as objects for calculations. This manuscript is a survey of what the package does, and at the same time of the…

Commutative Algebra · Mathematics 2019-02-12 Manuel Delgado , Pedro A. García Sánchez

Mathematica offers, by way of the package Combinatorics, many useful functions to work on graphs and ordered structures, but none of these functions was specific enough to meet the needs of our research group. Moreover, the existing…

Mathematical Software · Computer Science 2013-07-05 Pietro Codara

I present a Mathematica package designed for manipulations and evaluations of triple-K integrals and conformal correlation functions in momentum space. Additionally, the program provides tools for evaluation of a large class of 2- and…

High Energy Physics - Theory · Physics 2020-08-26 Adam Bzowski

This document is the manual for a free Mathematica package for computing with harmonic functions. This package allows the user to make calculations that would take a prohibitive amount of time if done without a computer. For example, the…

Mathematical Software · Computer Science 2016-11-08 Sheldon Axler

We introduce the Macaulay2 package GradedLieAlgebras for doing computations in graded Lie algebras presented by generators and relations.

Rings and Algebras · Mathematics 2021-01-27 Clas Löfwall , Samuel Lundqvist

Requirements are formulated for a reaction kinetics package to be useful for an as wide as possible circle of users and illustrated with examples using ReactionKinetics, a Mathematica based package.

Numerical Analysis · Mathematics 2011-07-18 J. Tóth , A. L. Nagy , D. Papp

In this paper we describe the main features of the software package named FITSH, intended to provide a standalone environment for analysis of data acquired by imaging astronomical detectors. The package provides utilities both for the full…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 András Pál

This article introduces a Mathematica package providing a graphics export function that automatically replaces Mathematica expressions in a graphic by the corresponding LaTeX constructs and positions them correctly. It thus facilitates the…

Graphics · Computer Science 2007-05-23 J. Grosse

In this paper we present a short overview of the new Wolfram Mathematica package intended for elementary "in-basis" tensor and differential-geometric calculations. In contrast to alternatives our package is designed to be easy-to-use,…

Nuclear Theory · Physics 2021-11-15 D. O. Rybalka

The Invar package is introduced, a fast manipulator of generic scalar polynomial expressions formed from the Riemann tensor of a four-dimensional metric-compatible connection. The package can maximally simplify any polynomial containing…

Symbolic Computation · Computer Science 2015-05-13 Jose M. Martin-Garcia , Renato Portugal , Leon R. U. Manssur
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