We present a number of programs to investigate and visualize chaos as it occurs with iterated application of functions. We look at ways to picture orbits under repeated ...

We search the global minimum of a function exhibiting several local minima. Built-in function of Mathematica will often find one of the local minima. We show how simulated ...

This package provides three kinds of plasma dispersion functions to calculate weakly-relativistic cyclotron resonance. See a paper titled "One-over-polynomial approximation ...

We compute the transverse momentum dependent (TMD) soft function for the production of a color-neutral nal state at the LHC within the rapidity renormalization group (RRG) ...

Visualization in Mathematica reaches a new level in Version 6.0. All the plotting operations, including function and data oriented, have being reimplemented from the ground ...

An assembly of point vortices is a simple and idealized system of the two-dimensional fluid flow. If the number of vortices is larger than three, the system shows chaotic and ...

This notebook is designed to nicely graph rational functions. Asymptotes are shown with red, dashed lines and they are labeled. Holes are also shown and labeled. The user is ...

We look for the extremum of a function and the value of the Lagrangian multipliers knowing that this function lies on the intersection of two surfaces. The solution to the ...

We give a simple constructive proof of a factorization theorem for scalar rational functions with a non-negative real part on the imaginary axis. A Mathematica program, ...

In this study, we have applied the modified exp 􀀋􀇦􀈳􀀋􀉌􀀌􀀌 -expansion function method to the Cahn-Allen equation. ...