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The operation of interchanging true and false in a logical statement. The negation of A is often called "NOT-A," and can be denoted !A, or with the negation sign ¬, so not-A ...

If f(x) is a monotonically increasing integrable function on [a,b] with f(b)<=0, then if g is a real function integrable on [a,b], ...

Li and Yorke (1975) proved that any one-dimensional system which exhibits a regular cycle of period three will also display regular cycles of every other length as well as ...

The partial differential equation u_(tt)-u_(xx)-u+u^3=0.

Virtually nothing is known about dissection of a projective plane using unequal squares.

The dual polyhedron of the rhombicosahedron U_(56) and Wenninger dual W_(96).

A correspondence between a permutation and a pair of Young tableaux.

An operator E such that E^ap(x)=p(x+a).

Two figures are homothetic if they are related by a dilation (a dilation is also known as a homothecy). This means that the connectors of corresponding points are concurrent ...

A simple pole of an analytic function f is a pole of order one. That is, (z-z_0)f(z) is an analytic function at the pole z=z_0. Alternatively, its principal part is c/(z-z_0) ...