"Values for Symbols" discussed how you can use transformation rules of the form x->value to replace symbols by values. The notion of transformation rules in Mathematica is, ...

DiagonalMatrix[list] gives a matrix with the elements of list on the leading diagonal, and 0 elsewhere. DiagonalMatrix[list, k] gives a matrix with the elements of list on ...

InverseFunctions is an option for Solve and related functions that specifies whether inverse functions should be used.

In many kinds of numerical computations, it is convenient to introduce approximate functions. Approximate functions can be thought of as generalizations of ordinary ...

The built-in Mathematica iteration functions such as Table and Sum evaluate their arguments in a slightly special way. When evaluating an expression like Table[f,{i,i_max}], ...

Format[expr] prints as the formatted form of expr. Assigning values to Format[expr] defines print forms for expressions. Format[expr, form] gives a format for the specified ...

$FrontEndInitializationFunction is a function that you can assign to execute when the front end link is first established by ConnectToFrontEnd[].

Naming Conventions Generic and Nongeneric Cases Numerical Functions

The following is the sequence of steps that Mathematica follows in evaluating an expression like h[e_1,e_2…]. Every time the expression changes, Mathematica effectively ...

In catering to the fine points of mathematical typesetting and notational clarity, Mathematica provides a variety of special variant forms of letters.