In this paper we determine all the Rota-Baxter operators of weight zero on semigroup algebras of order two and three with the help of computer algebra. We determine the ...

Mathematica is used to create the programs, graphs, and visualizations for: * combining income tax and social security * linear graduated tax table * Pareto index to indicate ...

We briefly review the standard methods used to construct quasiperiodic tilings, such as the projection, the inflation, and the grid method. A number of sample Mathematica ...

We give the classification of the graded algebras for a class of nilpoint Lie algebra which extends the graded filiform Lie algebras Vergne's classification [3]. That general ...

Mathematica can be used not only to draw the five Platonic solids but also to show the other four regular polyhedra. These less well known regular solids are discussed and ...

In this paper we discuss ways of parallelizing methods of perturbation analysis. Application of the perturbation method of multiple scales to vibration problems in ...

The purpose of this paper is to describe and evaluate the instructional techniques that were used in a two-course sequence of engineering calculus. These techniques included ...

Methods for finding the solution of second order differential equations are available with most computer algebra systems (CAS's). Unless the mathematical theory is ...

A recursive formula giving the Fibonacci number f2n in terms of fn and fn-1 forms the basis for efficient computation of large Fibonacci Numbers. Mathematica can be used to ...