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.

MovingAverage[list, r] gives the moving average of list, computed by averaging runs of r elements.MovingAverage[list, {w_1, w_2, ..., w_r}] gives the moving average of list, ...

Nearest[{elem_1, elem_2, ...}, x] gives the list of elem_i to which x is nearest. Nearest[{elem_1 -> v_1, elem_2 -> v_2, ...}, x] gives the v_i corresponding to the elem_i to ...

NestList[f, expr, n] gives a list of the results of applying f to expr 0 through n times.

NestWhileList[f, expr, test] generates a list of the results of applying f repeatedly, starting with expr, and continuing until applying test to the result no longer yields ...

Norm[expr] gives the norm of a number, vector or matrix. Norm[expr, p] gives the p-norm.

RandomChoice[{e_1, e_2, ...}] gives a pseudorandom choice of one of the e_i. RandomChoice[list, n] gives a list of n pseudorandom choices. RandomChoice[list, {n_1, n_2, ...}] ...

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

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 ...

ToeplitzMatrix[n] gives the n*n Toeplitz matrix with first row and first column being successive integers.ToeplitzMatrix[{c_1, c_2, ..., c_n}] gives the Toeplitz matrix whose ...