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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).

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.

A set of blocks, also called a resolution class, that partition the set V, where (V,B) is a balanced incomplete block design.

A function is a relation that uniquely associates members of one set with members of another set. More formally, a function from A to B is an object f such that every a in A ...

A set in R^n which can be reduced to one of its points, say P, by a continuous deformation, is said to be contractible. The transformation is such that each point of the set ...

Any set which can be put in a one-to-one correspondence with the natural numbers (or integers) so that a prescription can be given for identifying its members one at a time ...

The largest n such that |z_n|<4 in a Mandelbrot set. Points of different count are often assigned different colors.