The general ellipse packing problem is to find a non-overlapping arrangement of 𝑛 ellipses with (in principle) arbitrary size and orientation parameters inside a ...

The Wolfram Language is the programming language of Mathematica, used increasingly by scientists due to its ease of learning and user-friendliness. This book focuses on ...

IntegerSmithNormalForm.m and PolynomialSmithNormalForm.m provide Mathematica commands to find the Smith normal form of a matrix with entries in the integers or in polynomials ...

A Mathematica notebook capable of doing Finite Element Analysis using a four node, two-dimensional incompatible element. This program reads in nodal coordinates, element ...

This paper describes packages for symbolic calculations in quantum groups, noncommutative differential geometry, and multivalued logic. The package for quantum groups and the ...

We construct a program to calculate Feynman amplitudes at finite temperature in the real time Keldysh formalism using the symbolic manipulation program Mathematica. As an ...

In his 1932 lectures on "Beruhrungstransformationen", Guztav Herglotz gave an algorithm for constructing canonical transformations. We present Herglotz's technique, which ...

A new method for the computation of conserved densities of nonlinear differential-difference equations is applied to Toda lattices and discretizations of the Korteweg-de ...

We shall discuss a method for obtaining parametric equations of a smooth curve that passes through a sequence of points, and compare it to cubic splines and to the method of ...

Symbolic calculations involving large polynomials with multiple variables can be surprisingly difficult in Mathematica. The package PolynomialMV provides an approach to ...