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A point, such as interior points of a disk, such that (px)(py)=[const], where p is the chord length.

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.

The two-dimensional Euclidean space denoted R^2.

Let g(x)=(1-x^2)(1-k^2x^2). Then int_0^a(dx)/(sqrt(g(x)))+int_0^b(dx)/(sqrt(g(x)))=int_0^c(dx)/(sqrt(g(x))), where c=(bsqrt(g(a))+asqrt(g(b)))/(sqrt(1-k^2a^2b^2)).

An arbitrary rotation may be described by only three parameters.

An orthogonal projection of a cross onto a three-dimensional subspace. It is said to be normalized if the cross vectors are all of unit length.

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 .