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Let t be an infinite word over a finite alphabet Sigma. Then there exists a uniformly recurrent infinite word r such that Sub(r) subset= Sub(t), where Sub(w) is the set of ...

A game which permits a draw ("tie") when played properly by both players. Tic-tac-toe, for example, is a futile game.

Let the elements in a payoff matrix be denoted a_(ij), where the is are player A's strategies and the js are player B's strategies. Player A can get at least min_(j<=n)a_(ij) ...

The solution to a game in game theory. When a game saddle point is present max_(i<=m)min_(j<=n)a_(ij)=min_(j<=n)max_(i<=m)a_(ij)=v, and v is the value for pure strategies.

If x_1<x_2<...<x_n denote the zeros of p_n(x), there exist real numbers lambda_1,lambda_2,...,lambda_n such that ...

A connection defined on a smooth algebraic variety defined over the complex numbers.

If a sequence of double points is passed as a closed curve is traversed, each double point appears once in an even place and once in an odd place.

f(x) approx t_n(x)=sum_(k=0)^(2n)f_kzeta_k(x), where t_n(x) is a trigonometric polynomial of degree n such that t_n(x_k)=f_k for k=0, ..., 2n, and ...

Numbered rods which can be used to perform multiplication.

The proposition that every consistent generalized theory has a model. The theorem is true if the axiom of choice is assumed.