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A game for which each player has a different set of moves in any position. Every position in an impartial game has a nim-value.

The Fermat number F_n is prime iff 3^(2^(2^n-1))=-1 (mod F_n).

1%.

A set P is called perfect if P=P^', where P^' is the derived set of P.

An integral which is equivalent to the Denjoy integral "in the restricted sense."

A braid in which strands are intertwined in the center and are free in "handles" on either side of the diagram.

The ring R[x] of polynomials in a variable x.

A sequence of polynomials p_i(x), for i=0, 1, 2, ..., where p_i(x) is exactly of degree i for all i.

alpha is called a predecessor if there is no ordinal number beta such that beta+1=alpha.

A prime field is a finite field GF(p) for p is prime.