Backtrack[s, partialQ, solutionQ] performs a backtrack search of the state space s, expanding a partial solution so long as partialQ is True and returning the first complete ...

InsertIntoTableau[e, t] inserts integer e into Young tableau t using the bumping algorithm. InsertIntoTableau[e, t, All] inserts e into Young tableau t and returns the new ...

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 ...

This tutorial describes the principles behind Dynamic, DynamicModule, and related functions, and goes into detail about how they interact with each other and with the rest of ...

Exponent[expr, form] gives the maximum power with which form appears in the expanded form of expr. Exponent[expr, form, h] applies h to the set of exponents with which form ...

Palettes can be configured to remember their previous states across front end sessions. This is useful for palettes containing multiple expandable sections, tab views, ...

Manipulate[expr, {u, u_min, u_max}] generates a version of expr with controls added to allow interactive manipulation of the value of u. Manipulate[expr, {u, u_min, u_max, ...

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, ...

A field is an algebraic structure obeying the rules of ordinary arithmetic. In particular, a field has binary operations of addition and multiplication, both of which are ...

Mathematica provides a broad range of powerful constructs for laying out content on a screen or page. They are designed to be immediately useful for the beginner, yet also ...