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If an infinite number of points in the plane are all separated by integer distances, then all the points lie on a straight line.

A transformation which has only trivial invariant subsets is said to be ergodic.

The function f(beta,z)|->z^((1+cosbeta+isinbeta)/2), illustrated above for beta=0.4.

For s>1, the Riemann zeta function is given by zeta(s) = sum_(n=1)^(infty)1/(n^s) (1) = product_(k=1)^(infty)1/(1-1/(p_k^s)), (2) where p_k is the kth prime. This is Euler's ...

There are (at least) three types of Euler transforms (or transformations). The first is a set of transformations of hypergeometric functions, called Euler's hypergeometric ...

An arbitrary rotation may be described by only three parameters.

One of the Eilenberg-Steenrod axioms which states that, if X is a space with subspaces A and U such that the set closure of A is contained in the interior of U, then the ...

The exists quantifier exists .

Given a subspace A of a space X and a map from A to a space Y, is it possible to extend that map to a map from X to Y?

The radius of the smallest circle centered at one of the points of an N-cluster, which contains all the points in the N-cluster.