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Given a quadratic form Q(x,y)=x^2+y^2, (1) then Q(x,y)Q(x^',y^')=Q(xx^'-yy^',x^'y+xy^'), (2) since (x^2+y^2)(x^('2)+y^('2)) = (xx^'-yy^')^2+(xy^'+x^'y)^2 (3) = ...

K=-e^2, where e is the eccentricity of a conic section.

The number of elements of a group in a given conjugacy class.

Pairs of partitions for a single number whose Ferrers diagrams transform into each other when reflected about the line y=-x, with the coordinates of the upper left dot taken ...

A type I Markov move.

There are two distinct notions of connectivity in a directed graph. A directed graph is weakly connected if there is an undirected path between any pair of vertices, and ...

If the consistency of one of two propositions implies the consistency of the other, the first is said to have greater consistency strength.

A topological space.

No A is not-A.

An immediate consequence of a result already proved. Corollaries usually state more complicated theorems in a language simpler to use and apply.