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For every ergodic flow on a nonatomic probability space, there is a measurable set intersecting almost every orbit in a discrete set.

For any set theoretic formula f(x,t_1,t_2,...,t_n), In other words, for any formula and set A there is a subset of A consisting exactly of those elements which satisfy the ...

The set of points in the space of system variables such that initial conditions chosen in this set dynamically evolve to a particular attractor.

A set within which the values of a function lie (as opposed to the range, which is the set of values that the function actually takes).

Discrepancy is a measure of the deviation of a point set from a uniform distribution. In general, the computation of the discrepancy of a point set is computationally ...

If three skew lines all meet three other skew lines, any transversal to the first set of three meets any transversal to the second set of three.

The term pairwise refers to taking all unordered 2-subsets of a given set. For example, the pairwise products of the set {a,b,c} are ab, ac, and bc.

The Schnirelmann density of a set of nonnegative integers is the greatest lower bound of the fractions A(n)/n where A(n) is the number of terms in the set <=n.

For a subgroup H of a group G, the index of H, denoted (G:H), is the cardinal number of the set of left cosets of H in G (which is equal to the cardinal number of the set of ...

In set theory, a unary operation on set A is a function A->A. More generally, a unary operation is a function with exactly one operand, such as the factorial, square root, or ...