TripleK: A Mathematica package for evaluating triple-K integrals and conformal correlation functions

CGAlgebra: a Mathematica package for conformal geometric algebra

A tutorial of the Mathematica1 package CGAlgebra, for conformal geometric algebra calculations is presented. Using rule-based programming, the 5-dimensional conformal geometric algebra is implemented and defined functions simplify the calculations of geometric, outer and inner products, as well as many other calculations related with geometric transformations. CGAlgebra is available from https:...

AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals

The Mathematica toolkit AMBRE derives Mellin-Barnes (MB) representations for Feynman integrals in d = 4 − 2ε dimensions. It may be applied for tadpoles as well as for multileg and multiloop scalar and tensor integrals. AMBRE uses a loopby-loop approach and aims at lowest dimensions of the final MB representations. It integrates the package MB for the determination of the singularity structure i...

Quaternions: A Mathematica Package for Quaternionic Analysis

This paper describes new issues of the Mathematica standard package Quaternions for implementing Hamilton’s Quaternion Algebra. This work attempts to endow the original package with the ability to perform operations on symbolic expressions involving quaternion-valued functions. A collection of new functions is introduced in order to provide basic mathematical tools necessary for dealing with re...

Matrix Algebra Package for Mathematica

A characterization of triple semigroup of ternary functions and Demorgan triple semigroup of ternary functions