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] ...

GroupElements (Built-in Mathematica Symbol)

GroupElements[group] returns the list of all elements of group.GroupElements[group, {r_1, ..., r_k}] returns the elements numbered r_1, ..., r_k in group in the standard ...

TuringMachine (Built-in Mathematica Symbol)

TuringMachine[rule, init, t] generates a list representing the evolution of the Turing machine with the specified rule from initial condition init for t steps. ...

Loops and Control Structures (Mathematica Tutorial)

The execution of a Mathematica program involves the evaluation of a sequence of Mathematica expressions. In simple programs, the expressions to be evaluated may be separated ...

NIntegrate Integration Strategies (Mathematica Tutorial)

An integration strategy is an algorithm that attempts to compute integral estimates that satisfy user-specified precision or accuracy goals. An integration strategy normally ...

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, ...

Advanced Dynamic Functionality (Mathematica Tutorial)

"Introduction to Manipulate" and "Introduction to Dynamic" provide most of the information you need to use Mathematica's interactive features accessible through the functions ...

Introduction to Manipulate (Mathematica Tutorial)

The single command Manipulate lets you create an astonishing range of interactive applications with just a few lines of input. Manipulate is designed to be used by anyone who ...

Combinatorica (Combinatorica Package Tutorial)

Combinatorica extends Mathematica by over 450 functions in combinatorics and graph theory. It includes functions for constructing graphs and other combinatorial objects, ...

Compiled Function Operation (Compiled Function Tools Tutorial)

The Mathematica compiler generates a CompiledFunction expression that contains a sequence of simple instructions for evaluating a Mathematica computation. The compiled ...