OutputResponse (Built-in Mathematica Symbol)

OutputResponse[sys, u, t] gives the output response of a TransferFunctionModel or StateSpaceModel object sys to the input u as a function of time t.OutputResponse[sys, u, {t, ...

Alphabetical Listing (Mathematica Guide)

Mathematica has over 3000 built-in functions and other objects, all based on a single unified framework, and all carefully designed to work together, both in simple ...

Numerical Solution of Partial ... (Mathematica Tutorial)

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

Introduction to Graph Drawing (Mathematica Tutorial)

Mathematica provides functions for the aesthetic drawing of graphs. Algorithms implemented include spring embedding, spring-electrical embedding, high-dimensional embedding, ...

Random Number Generation (Mathematica Tutorial)

The ability to generate pseudorandom numbers is important for simulating events, estimating probabilities and other quantities, making randomized assignments or selections, ...

Variational Methods Package (Variational Methods Package Guide)

LinearModelFit (Built-in Mathematica Symbol)

LinearModelFit[{y_1, y_2, ...}, {f_1, f_2, ...}, x] constructs a linear model of the form \[Beta]_0 + \[Beta]_1 f_1 + \[Beta]_2 f_2 + ... that fits the y_i for successive x ...

SpheroidalS1 (Built-in Mathematica Symbol)

SpheroidalS1[n, m, \[Gamma], z] gives the radial spheroidal function S_n^m, (1)(\[Gamma], z) of the first kind.

Spheroidal Functions (Mathematica Tutorial)

Spheroidal functions. The radial spheroidal functions SpheroidalS1[n,m, γ,z] and SpheroidalS2[n,m,γ,z] and angular spheroidal functions SpheroidalPS[n,m,γ,z] and ...

RidgeFilter (Built-in Mathematica Symbol)

RidgeFilter[image] computes a measure for the presence of a ridge for each pixel in image.RidgeFilter[image, \[Sigma]] uses the specified ridge scale \[Sigma].