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The Scarabaeus curve is a sextic curve given by the equation (x^2+y^2)(x^2+y^2+ax)^2-b^2(x^2-y^2)^2=0 and by the polar equation r=bcos(2theta)-acostheta where a,b!=0.

An operator relating the past asymptotic state of a dynamical system governed by the Schrödinger equation id/(dt)psi(t)=Hpsi(t) to its future asymptotic state.

The mathematical study of the scattering operator and Schrödinger equation.

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.