Map[f, expr] or f /@ expr applies f to each element on the first level in expr. Map[f, expr, levelspec] applies f to parts of expr specified by levelspec.

SolveAlways[eqns, vars] gives the values of parameters that make the equations eqns valid for all values of the variables vars.

StandardDeviation[list] gives the sample standard deviation of the elements in list. StandardDeviation[dist] gives the standard deviation of the symbolic distribution dist.

StringReplace["string", s -> sp] or StringReplace["string", {s_1 -> sp_1, s_2 -> sp_2, ...}] replaces the string expressions s_i by sp_i whenever they appear as substrings of ...

Subsets[list] gives a list of all possible subsets of list. Subsets[list, n] gives all subsets containing at most n elements. Subsets[list, {n}] gives all subsets containing ...

Tuples[list, n] generates a list of all possible n-tuples of elements from list. Tuples[{list_1, list_2, ...}] generates a list of all possible tuples whose i\[Null] ...

WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations.

Lists are normally specified in Mathematica just by giving explicit lists of their elements. But particularly in working with large arrays, it is often useful instead to be ...

Mathematica uses various syntactic rules to interpret input that you give, and to convert strings and boxes into expressions. The version of these rules that is used for ...

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 ...