QuadraticFormDistribution[{a, b, c}, {\[Mu], \[CapitalSigma]}] represents the distribution of a quadratic form z.a.z + b.z + c for multivariate normal z.

Fibonacci[n] gives the Fibonacci number F_n. Fibonacci[n, x] gives the Fibonacci polynomial F_n (x).

FilledCurve[{segment_1, segment_2, ...}] represents a filled curve consisting of segment_1 followed by segment_2 etc. FilledCurve[{component_1, component_2, ...}] represents ...

Fourier[list] finds the discrete Fourier transform of a list of complex numbers.

Tensors are mathematical objects that give generalizations of vectors and matrices. In Mathematica, a tensor is represented as a set of lists, nested to a certain number of ...

SmoothKernelDistribution[{x_1, x_2, ...}] represents a smooth kernel distribution based on the data values x_i.SmoothKernelDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...

NDSolve is broken up into several basic steps. For advanced usage, it can sometimes be advantageous to access components to carry out each of these steps separately. NDSolve ...

Plot3D[f, {x, x_min, x_max}, {y, y_min, y_max}] generates a three-dimensional plot of f as a function of x and y. Plot3D[{f_1, f_2, ...}, {x, x_min, x_max}, {y, y_min, ...

Ever since Version 3 of Mathematica, there has been rich support for arbitrary mathematical typesetting and layout. Underlying all that power was a so-called box language, ...

ButterflyGraph[n] gives the order-n butterfly graph. ButterflyGraph[n, b] gives the base-b order-n butterfly graph.