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Two links can be continuously deformed into each other iff any diagram of one can be transformed into a diagram of the other by a sequence of Reidemeister moves.

If a triangle is inscribed in a conic section, any line conjugate to one side meets the other two sides in conjugate points.

Let H be a two-dimensional distribution function with marginal distribution functions F and G. Then there exists a copula C such that H(x,y)=C(F(x),G(y)). Conversely, for any ...

The maximum cardinal number of a collection of subsets of a t-element set T, none of which contains another, is the binomial coefficient (t; |_t/2_|), where |_x_| is the ...

A graph G is the edge graph of a polyhedron iff G is a simple planar graph which is 3-connected.

Asserts the existence and uniqueness of the extremal quasiconformal map between two compact Riemann surfaces of the same genus modulo an equivalence relation.

An inscribed angle in a semicircle is a right angle.

Maps between CW-complexes that induce isomorphisms on all homotopy groups are actually homotopy equivalences.

Let A(n) denote the number of partitions of n into parts =2,5,11 (mod 12), let B(n) denote the number of partitions of n into distinct parts =2,4,5 (mod 6), and let C(n) ...

e is transcendental.