FreeQ[expr, form] yields True if no subexpression in expr matches form, and yields False otherwise. FreeQ[expr, form, levelspec] tests only those parts of expr on levels ...

With its convenient symbolic representation of algebraic numbers, Mathematica's state-of-the-art algebraic number theory capabilities provide a concrete implementation of one ...

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 ...

Mathematica immediately allows you to do arithmetic not only with individual numbers, but also with arbitrary lists or arrays—as well as symbolic and algebraic forms. ...

ComplexityFunction is an option for Simplify and other functions which gives a function to rank the complexity of different forms of an expression.

Erf[z] gives the error function erf(z). Erf[z_0, z_1] gives the generalized error function erf(z_1) - erf(z_0).

Most of the documentation provided for Mathematica is concerned with explaining what Mathematica does, not how it does it. But the purpose of this is to say at least a little ...

Total[list] gives the total of the elements in list. Total[list, n] totals all elements down to level n. Total[list, {n}] totals elements at level n. Total[list, {n_1, n_2}] ...

A typical package written in Mathematica introduces several new symbols intended for use outside the package. These symbols may correspond for example to new functions or new ...

Save["filename", symbol] appends definitions associated with the specified symbol to a file. Save["filename", " form"] appends definitions associated with all symbols whose ...