The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...

ToNumberField[a, \[Theta]] expresses the algebraic number a in the number field generated by \[Theta]. ToNumberField[{a_1, a_2, ...}, \[Theta]] expresses the a_i in the field ...

Derivatives in Mathematica work essentially the same as in standard mathematics. The usual mathematical notation, however, often hides many details. To understand how ...

Extensively used within the Mathematica system itself, MathLink is Mathematica's unique high-level symbolic interface standard for interprogram communication. With convenient ...

Mathematica is a large and complex software system. Although strongly not supported for production purposes, it is sometimes instructive to "spelunk" in the system, looking ...

Return[expr] returns the value expr from a function. Return[] returns the value Null.

Here the standard procedure used by Mathematica to evaluate expressions is described. This procedure is the one followed for most kinds of expression. There are, however, ...

Mathematica provides powerful functions for constructing lists of any size and structure.

FontProperties -> {opt_1 -> val_1, opt_2 -> val_2} specifies font properties.

Finding singular values and norms of matrices. The singular values of a matrix m are the square roots of the eigenvalues of m.m^*, where * denotes Hermitian transpose. The ...