File Menu (Mathematica Guide)

IDA Method for NDSolve (Mathematica Tutorial)

The IDA package is part of the SUNDIALS (SUite of Nonlinear and DIfferential/ALgebraic equation Solvers) developed at the Center for Applied Scientific Computing of Lawrence ...

Mathematical Notation Characters (Mathematica Guide)

Mathematica has the world's largest collection of consistent multifont mathematical notation characters—all fully integrated into both typesetting and symbolic expression ...

$UserBaseDirectory (Built-in Mathematica Symbol)

$UserBaseDirectory gives the base directory in which user-specific files to be loaded by Mathematica are conventionally placed.

The Limits of Mathematica (Mathematica Tutorial)

In just one Mathematica command, you can easily specify a calculation that is far too complicated for any computer to do. For example, you could ask for ...

RiccatiSolve (Built-in Mathematica Symbol)

RiccatiSolve[{a, b}, {q, r}] gives the matrix x that is the stabilizing solution of the continuous algebraic Riccati equation ConjugateTranspose[a].x + x.a - ...

FullSimplify (Built-in Mathematica Symbol)

FullSimplify[expr] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds. FullSimplify[expr, assum] ...

Low-Level System Optimization (Mathematica Guide)

RSolve (Built-in Mathematica Symbol)

RSolve[eqn, a[n], n] solves a recurrence equation for a[n]. RSolve[{eqn_1, eqn_2, ...}, {a_1[n], a_2[n], ...}, n] solves a system of recurrence equations. RSolve[eqn, a[n_1, ...

Formula Manipulation (Mathematica Guide)

Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general ...