PolynomialQuotientRemainder[p, q, x] gives a list of the quotient and remainder of p and q, treated as polynomials in x.

MapThread[f, {{a_1, a_2, ...}, {b_1, b_2, ...}, ...}] gives {f[a_1, b_1, ...], f[a_2, b_2, ...], ...}. MapThread[f, {expr_1, expr_2, ...}, n] applies f to the parts of the ...

PadRight[list, n] makes a list of length n by padding list with zeros on the right. PadRight[list, n, x] pads by repeating the element x. PadRight[list, n, {x_1, x_2, ...}] ...

Flatten[list] flattens out nested lists. Flatten[list, n] flattens to level n. Flatten[list, n, h] flattens subexpressions with head h. Flatten[list, {{s_11, s_12, ...}, ...

ReplacePart[expr, i -> new] yields an expression in which the i\[Null]\[Null]^th part of expr is replaced by new. ReplacePart[expr, {i_1 -> new_1, i_2 -> new_2, ...}] ...

MinCut[g, k] partitions the undirected graph g into k parts where the number of edge cuts is approximately minimized.

ExponentialFamily is an option for GeneralizedLinearModelFit that specifies the exponential family for the model.

You may have noticed that there are two different ways to make assignments in Mathematica: lhs=rhs and lhs:=rhs. The basic difference between these forms is when the ...

Commonest[list] gives a list of the elements that are the most common in list.Commonest[list, n] gives a list of the n most common elements in list.

StringFreeQ["string", patt] yields True if no substring in " string" matches the string expression patt, and yields False otherwise. StringFreeQ["string", {patt_1, patt_2, ...