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

The dihedral group D_3 is a particular instance of one of the two distinct abstract groups of group order 6. Unlike the cyclic group C_6 (which is Abelian), D_3 is ...

If lim_(k->infty)u_k!=0, then the series {u_n} diverges.

Each centered convex body of sufficiently high dimension has an "almost spherical" k-dimensional central section.

A mathematical statement of the equivalence of two quantities. The equality "A is equal to B" is written A=B.

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.

A gyrobicupola is a bicupola in which the bases are in opposite orientations.

Two nonsingular forms are equivalent over the rationals iff they have the same determinant and the same p-signatures for all p.