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 ...

Leibniz is a combination word processor and front end for Mathematica designed for use in mathematics education. Leibniz uses a sophisticated pattern matching scheme to ...

Green's Theorem expresses the line integral of a vector field around a closed plane curve in terms of the double integral over the region bounded by the curve. This notebook ...

The motion of a massive object sliding down a rough spherical ball due to gravity is investigated. In terms of the initial speed and roughness of the surface, the author has ...