Most mathematical functions in Mathematica are set up to apply themselves separately to each element in a list. This is true in particular of all functions that carry the ...

Permutations[list] generates a list of all possible permutations of the elements in list. Permutations[list, n] gives all permutations containing at most n ...

DialogSymbols is an option for Dialog which gives a list of symbols whose values should be localized in the dialog.

Flat is an attribute that can be assigned to a symbol f to indicate that all expressions involving nested functions f should be flattened out. This property is accounted for ...

NonConstants is an option for D which gives a list of objects to be taken to depend implicitly on the differentiation variables.

Subresultants[poly_1, poly_2, var] generates a list of the principal subresultant coefficients of the polynomials poly_1 and poly_2 with respect to the variable var.

Scan[f, expr] evaluates f applied to each element of expr in turn. Scan[f, expr, levelspec] applies f to parts of expr specified by levelspec.

Thread[f[args]] "threads" f over any lists that appear in args. Thread[f[args], h] threads f over any objects with head h that appear in args. Thread[f[args], h, n] threads f ...

In[n] is a global object that is assigned to have a delayed value of the n\[Null]^th input line.

RotateLeft[expr, n] cycles the elements in expr n positions to the left. RotateLeft[expr] cycles one position to the left. RotateLeft[expr, {n_1, n_2, ...}] cycles elements ...