The one-dimensional nonlinear Schrödinger (NLS) equation with a random potential function is used to model pulses in very long low dispersion optical fiber with random ...

NumericalMath`NMinimize is a new standard add-on package for finding solutions to constrained and unconstrained global optimization problems. The package provides several ...

The paper presents a mathematical explanation of the phenomenon observed for the Refined Least Squares method. It was found by numerical experiment with Mathematica that for ...

This paper describes an application of webMathematica for constructing a web site for a sports records database. The web site has: a visual interface for the record data; a ...

For many situations in Quantum Information Theory it is necessary to trace out a subgroup of qubits from a larger group. For example, suppose Alice, Bob and Charlie each have ...

The linear regression model fits a response variable to a linear combination of predictor variables, assuming the measurement error in the response follows a normal ...

Three equilibrium reactions are taking place simultaneously to produce SynGas using coal and steam. We start by plotting the equilibrium constant versus temperature assuming ...

The present notebook shows how one can compute Vapour-Liquid-Liquid Equilibrium data using the two-parameter Margules model. This method is applied to a ternary system: ...

Gledzer's cascade shell model of turbulence with six real variables is studied numerically using mathematica 5.1. The Poincaré plot of the first mode v1 is used to determine ...

This kaleidoscope is an idea inspired by a Linear Algebra lesson about geometric transformations with matrices. It also grew out of an experiment with pure functions, ...