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An equilibrium point in game theory is a set of strategies {x^^_1,...,x^^_n} such that the ith payoff function K_i(x) is larger or equal for any other ith strategy, i.e., ...

A tree spread in which each node has a finite number of children.

The order of a finite field is the number of elements it contains.

A mathematical object invented to solve irreducible congruences of the form F(x)=0 (mod p), where p is prime.

For n players, n-1 games are needed to fairly determine first place, and n-1+lg(n-1) are needed to fairly determine first and second place.

If a Sylow 2-subgroup T of G lies in a unique maximal 2-local P of G, then P is a "strongly embedded" subgroup of G, and G is known.

A graded algebra over the integers Z. Cohomology of a space is a graded ring.

The multiplicity of a multigraph is its maximum edge multiplicity.

A section of a graph obtained by finding its intersection with a plane.

An element of order 2 in a group (i.e., an element A of a group such that A^2=I, where I is the identity element).