PositiveDefiniteMatrixQ[m] tests whether m is a positive definite matrix.

Sphere[{x, y, z}, r] represents a sphere of radius r centered at (x, y, z). Sphere[{x, y, z}] represents a sphere of radius 1. Sphere[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}, ...

Whenever machine-precision numbers appear in a calculation, the whole calculation is typically done in machine precision. Mathematica will then give machine-precision numbers ...

EmpiricalDistribution[{x_1, x_2, ...}] represents an empirical distribution based on the data values x_i.EmpiricalDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...}] ...

ListStreamDensityPlot[array] generates a stream density plot from a 2D array of vector and scalar field values {{vx_ij, vy_ij}, s_ij}. ListStreamDensityPlot[{{{x_1, y_1}, ...

ListWaveform[{{f_1, a_1}, {f_2, a_2}, ...}, freq, dur] creates a Sound object with fundamental frequency of freq hertz, lasting for dur seconds, with a spectrum in which ...

Waveform[type, freq, dur] creates a Sound object that is a standard waveform of type type, having a fundamental frequency of freq hertz, and a duration of dur seconds.

ButterflyGraph[n] returns the n-dimensional butterfly graph, a directed graph whose vertices are pairs (w, i), where w is a binary string of length n and i is an integer in ...

Mathematica provides a full range of control objects, all specified in convenient symbolic form. Manipulate uses many of these objects automatically; you can also use them ...

Mathematica's symbolic architecture allows a unique representation and treatment of images in both programs and documents. Mathematica supports images with arbitrary numbers ...