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Let a spherical triangle have sides of length a, b, and c, and semiperimeter s. Then the spherical excess E is given by

A method for constructing magic squares of singly even order n>=6.

Given a positive integer n, a labeled n-digraph is a digraph whose vertex set is {1,...,n}.

The Labs septic is a septic surface having 99 ordinary double points, which is the maximum number known for any septic surface.

A Fourier series in which there are large gaps between nonzero terms a_n or b_n.

A function that has a natural boundary.

The second-order ordinary differential equation y^('')+k/xy^'+epsilony^'y=0.

A quantity involving primitive cube roots of unity which can be used to solve the cubic equation.

A spectrum formed by the Lagrange numbers. The only ones less than three are the Lagrange numbers, but the last gaps end at Freiman's constant. Real numbers larger than ...

Lagrange's continued fraction theorem, proved by Lagrange in 1770, states that any positive quadratic surd sqrt(a) has a regular continued fraction which is periodic after ...