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A set M of all polynomials in s variables, x_1, ..., x_s such that if P, P_1, and P_2 are members, then so are P_1+P_2 and QP, where Q is any polynomial in x_1, ..., x_s.

A surface given by the form z=F(x,y).

A nonsingular linear map A:R^n->R^n is orientation-reversing if det(A)<0.

A bicupola in which the bases are in the same orientation.

The map x^' = x+1 (1) y^' = 2x+y+1, (2) which leaves the parabola x^('2)-y^'=(x+1)^2-(2x+y+1)=x^2-y (3) invariant.

A long division in which most or all of the digits are replaced by a symbol (usually asterisks) to form a cryptarithmetic.

A sphere is defined as the set of all points in three-dimensional Euclidean space R^3 that are located at a distance r (the "radius") from a given point (the "center"). Twice ...

A real-linear vector space H equipped with a symplectic form s.

Q is said to be tightly embedded if |Q intersection Q^g| is odd for all g in G-N_G(Q), where N_G(Q) is the normalizer of Q in G.

A ball of radius 1.