RootReduce[expr] attempts to reduce expr to a single Root object.

StringCases["string", patt] gives a list of the substrings in " string" that match the string expression patt. StringCases["string", lhs -> rhs] gives a list of the values of ...

StringPosition["string", " sub"] gives a list of the starting and ending character positions at which " sub" appears as a substring of " string". StringPosition["string", ...

StringSplit["string"] splits " string" into a list of substrings separated by whitespace. StringSplit["string", patt] splits into substrings separated by delimiters matching ...

WaveletPhi[wave, x] gives the scaling function \[Phi](x) for the symbolic wavelet wave evaluated at x.WaveletPhi[wave] gives the scaling function as a pure function.

Minimization and maximization. Minimize and Maximize yield lists giving the value attained at the minimum or maximum, together with rules specifying where the minimum or ...

Ways to construct nested lists. This generates a table corresponding to a 2×3 nested list. This generates an array corresponding to the same nested list.

Partitioning elements in a list. This partitions in blocks of 3. This partitions in blocks of 3 with offset 1.

In a statement like x^4+x^2>0, Mathematica treats the variable x as having a definite, though unspecified, value. Sometimes, however, it is useful to be able to make ...

Any combination of equations or inequalities can be thought of as implicitly defining a region in some kind of space. The fundamental function of Reduce is to turn this type ...