LinearSolve (Built-in Mathematica Symbol)

LinearSolve[m, b] finds an x which solves the matrix equation m.x == b. LinearSolve[m] generates a LinearSolveFunction[...] which can be applied repeatedly to different b.

ListInterpolation (Built-in Mathematica Symbol)

ListInterpolation[array] constructs an InterpolatingFunction object that represents an approximate function that interpolates the array of values given. ...

SetPrecision (Built-in Mathematica Symbol)

SetPrecision[expr, p] yields a version of expr in which all numbers have been set to have precision p.

Integrate (Built-in Mathematica Symbol)

Integrate[f, x] gives the indefinite integral \[Integral]f d x. Integrate[f, {x, x_min, x_max}] gives the definite integral \[Integral]_x_min^x_max\ f\ d x. Integrate[f, {x, ...

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 Differential Equation ... (Numerical Differential Equation Analysis Package Tutorial)

The NumericalDifferentialEquationAnalysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes ...

Probability (Built-in Mathematica Symbol)

Probability[pred, x \[Distributed] dist] gives the probability for an event that satisfies the predicate pred under the assumption that x follows the probability distribution ...

Summary of New Features in Mathematica 8 (Mathematica Guide)

BodePlot (Built-in Mathematica Symbol)

BodePlot[g] gives the Bode plot of a rational function g in one complex variable.BodePlot[sys] gives the Bode plot of a TransferFunctionModel or StateSpaceModel object ...

Eliminate (Built-in Mathematica Symbol)

Eliminate[eqns, vars] eliminates variables between a set of simultaneous equations.