A component of a new environment for the numerical solution of ordinary differential equations in Mathematica is outlined. We briefly describe how special purpose integration ...

We present a discrete model for light reflection and transmission of turbid media based on lattice paths. We compare the results with the popular Kubelka–Munk model. We ...

Manuscript from 2003, revised 2010 Abstract: Buchberger and Kandri-Rody and Kapur defined a strong Gröbner basis for a polynomial ideal over a Euclidean domain in a way ...

In this lesson, the student will learn about translating (shifting) absolute value graphs, reflections across axes, and stretching.

Nilpotent adjacency matrix methods have proven useful for counting self-avoiding walks (paths, trails, cycles, and circuits) in finite graphs. In the current work, these ...

Currently, the three most popular commercial computer algebra systems are Mathematica, Maple and Macsyma (the 3 M's). These systems provide a wide variety of symbolic ...

In this letter we report the formal verification of encryption and decryption circuits. After we describe algebraically a simple modular arithmetic circuit at both function ...

The built-in functions Re, Im, Conjugate, Abs, and Arg evaluate for numbers only. The package Algebra`ReIm` extends Re, Im, and Conjugate to symbols and expressions. This ...

We show how to program Mathematica to automatically produce a test with random problems and their annotated solutions for classroom use. To illustrate the key concepts, we ...

Topics: A brief Mathematica tour Symbolic and Numeric Computation List Manipulation Symbolic Algebra Symbolic Differentiation, Integration