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A generalization of the Gaussian sum. For p and q of opposite parity (i.e., one is even and the other is odd), Schaar's identity states ...

A local-ringed space which is locally isomorphic to an affine scheme.

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

The function giving the volume of the spherical quadrectangular tetrahedron: V=(pi^2)/8f(pi/p,pi/q,pi/r), (1) where (2) and D=sqrt(cos^2xcos^2z-cos^2y). (3)

A definition of a function using a contour integral. Schläfli integrals may be converted into Rodrigues representations.

For R[z]>0, where J_nu(z) is a Bessel function of the first kind.

A planar graph corresponding to polyhedra skeletons. The polyhedral graphs are special cases.

An analytic function f on the unit disk is called schlicht if 1. f is one-to-one, 2. f(0)=0, and 3. f^'(0)=1, in which case it is written f in S. Schlicht functions have ...

The Schmitt-Conway biprism is a convex polyhedron found to be only aperiodically space-filling by Conway in 1993.

The Schnirelmann density of a set of nonnegative integers is the greatest lower bound of the fractions A(n)/n where A(n) is the number of terms in the set <=n.