Many important application problems can be formalized as constrained non-linear optimization tasks. However, numerical methods for solving such problems are brittle and do ...

Fluctuation analysis is a time-honored technique for estimating mutation rates. SALVADOR, a package written in a blend of the Mathematica and the C language, provides the ...

This notebook creates an animation that is designed to give a visual sense of the concavity of a function. The user inputs a function, a domain, and the number of frames to ...

The notebook computes the temperature and concentration profiles of the NH3 synthesis reactor based on the Haber process. The governing equations are derived (and corrected) ...

Pythonika is a MathLink module that allows to write and evaluate Python code from within Mathematica Notebooks. Pythonika automatically translates all basic types from ...

At the core of Mathematica is its highly developed symbolic language, which unifies a broad range of programming paradigms and uses its unique concept of symbolic programming ...

The present paper constitutes a development of our previous work devoted to calculations of the angular Fock coefficients ψk,p(α,θ). Explicit analytic ...

The Laplace transform is often applied to linear partial differential equations to eliminate the time dimension. The analytical solutions thus obtained need to be inverted to ...

The function DotDash[data] produces a dot-dash scatter plot as defined by Edward Tufte in "The Visual Display of Quantitative Information". 2D graphics options are allowed, ...

This code produces plots of a user-supplied function and a specified number of approximating Taylor polynomials about a user-given point. The Input lines in the code are in ...