The results of filter design obtained by solving non-linear coefficient derived polynomial equations is reported. Taking Butterworth filters as an example, and working with ...

Writing in the Bulletin of the American Mathematical Society, William Thurston said: "Mathematicians have developed habits of communication that are often dysfunctional." Our ...

In this paper we design an algorithm using operational calculus methods and Mathematica functional programming operators. The purpose of the algorithm is the computation of ...

The locations of optimal stress points in Lagrangian and serendipity elements are determined by using the symbolic mathematical tool Mathematica. It is found that, for the ...

A symbolic procedure for deriving various finite difference approximations for the three-dimensional Poisson equation is described. Based on the software package Mathematica, ...

We present a Mathematica program which implements tensor calculus using index notation. Common operations, such as contractions, lowering and raising of indices, ...

Virtually every RF circuit or system design incorporates semiconductor devices such as mixers, diodes, switches, and amplifiers. To some extent, all of these devices exhibit ...

Two Mathematica rules, converting double and triple summation series to a single one, are developed. The rules allow for the elimination of redundant equations in the ...

An analytical evaluation of matrix elements of single spin operators in tetranuclear mixed-valence metal clusters is presented. The case of a ground state of the cluster with ...

Applying the higher-order averaging method, we study the periodically forced, standard Duffing oscillator. A package of the computer algebra system, Mathematica, recently ...