Competition can be based on either Euclidean or taxicab-norm matching. We also discuss effects of noise on ART functionality, and specifically on counterpropagation networks. Fast, interactive measurement of probability densities and sample entropies is useful for Monte Carlo simulations of dynamic systems, and for teaching statistics and random-process theory. A fast interactive programming system makes it easy to experiment with different sample sizes and Parzen windows. A novel vector compiler reads a vector equation or differential equation and produces efficient code for n corresponding scalar equations without causing any runtime loop overhead.
Simulations can combine partial and ordinary differential equations.
Programs compile and run immediately on a mouse click to permit truly interactive modeling and simulation. As a simple example, we exhibit the complete solution of a heat-conduction problem with one space dimension. Our new vector compiler can read a vector differential equation and automatically compiles in-line code for the n corresponding scalar differential equations, without causing any runtime loop overhead. We demonstrate a compact program solving of a simple parabolic partial differential equation with one space dimension. We outline part of an industrial-refresher course on neural networks.