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If A is true unless B, then not-B implies A, but B does not necessarily imply not-A.

If the first nonzero component of the vector difference A-B is >0, then A≻B. If the first nonzero component of A-B is <0, then A≺B.

Vector subtraction is the process of taking a vector difference, and is the inverse operation to vector addition.

The symbol v variously means "disjunction" (i.e., OR in logic) or "join" (for a lattice).

A surface represented parametrically by elliptic functions.

n weighings are sufficient to find a bad coin among (3^n-1)/2 coins (Steinhaus 1999, p. 61). vos Savant (1993) gives an algorithm for finding a bad ball among 12 balls in ...

A "weird number" is a number that is abundant (i.e., the sum of proper divisors is greater than the number) without being pseudoperfect (i.e., no subset of the proper ...

A three-dimensional surface with constant vector field on its boundary which traps at least one trajectory which enters it.

The p-layer of H, L_(p^')(H) is the unique minimal normal subgroup of H which maps onto E(H/O_(p^')(H)).

One form of van der Waerden's theorem states that for all positive integers k and r, there exists a constant n(r,k) such that if n_0>=n(r,k) and {1,2,...,n_0} subset C_1 ...