Mathematica has greatly increased our potential to "own" mathematics by allowing us to make computations and visualizations that greatly enhance our understanding and ...

The NetMath program is a highly successful distance-learning program that has been offered through the University of Illinois for the past five years. Most student work is ...

Computing vapor-liquid equilibria is a common occurrence in many chemical engineering operations. For ideal mixtures the calculations are fairly routine. Unfortunately, many ...

This case study investigates how three-dimensional images are rendered effectively in two dimensions. This type of operation is very important in automotive design, for it ...

The fundamental concept in physics of polarization propagation of electromagnetic waves is newly understood to be a cardinal keyword in quantum cryptography transport ...

The proven safe operation and the high availability of aerial ropeways is mainly thanks to their design. This is based on the manufacturer’s extensive experience as well as ...

Probability and its offspring, inferential statistics, constitute perhaps the most frustrating branch of human knowledge. The abstractness of formal methods scares many ...

A difference equation (or map) of the form x_n-1 = f(x_n, x_n-1, ...) which, together with some specified values or initial conditions defines a sequence {x_n}. Despite the ...

This is a demonstration of how ray tracing can be done with Optica. The example used is the problem of finding the exit pupil of a system consisting of an aperture stop and a ...

Contrast sensitivity is a measure of the ability of an observer to detect contrast signals of particular spatial and temporal frequencies. A formal definition of contrast ...