JacobiAmplitude[u, m] gives the amplitude am(u \[VerticalSeparator] m) for Jacobi elliptic functions.

Uncompress["string"] recovers an expression from a compressed string representation generated by Compress.Uncompress["string", h] wraps the head h around the expression ...

There are many situations where you want to write a particular algebraic expression in the simplest possible form. Although it is difficult to know exactly what one means in ...

DensityPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] makes a density plot of f as a function of x and y.

Mathematica efficiently implements state-of-the-art data classification algorithms, allowing you to visualize distributions, search for nearest neighbors, and do cluster ...

Joined is an option for ListPlot and related functions that specifies whether points in each dataset should be joined into a line, or should be plotted as separate points.

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...

ParameterMixtureDistribution[dist[\[Theta]], \[Theta] \[Distributed] wdist] represents a parameter mixture distribution where the parameter \[Theta] is distributed according ...

Diagnostics are an important part of analyzing models of data. Plots of residuals and leverage or influence measures provide valuable insight into whether assumptions of the ...

Thread[f[args]] "threads" f over any lists that appear in args. Thread[f[args], h] threads f over any objects with head h that appear in args. Thread[f[args], h, n] threads f ...