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If (1+xsin^2alpha)sinbeta=(1+x)sinalpha, then (1+x)int_0^alpha(dphi)/(sqrt(1-x^2sin^2phi))=int_0^beta(dphi)/(sqrt(1-(4x)/((1+x)^2)sin^2phi)).

dtau^2=-eta_(alphabeta)dxi^alphadxi^beta, or (d^2xi^alpha)/(dtau^2)=0.

A type of flow technically defined in terms of the tangent bundle of a manifold.

The integral associated with the Haar measure.

A system of variables which can be written in the form of Hamilton's equations.

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

A fixed point for which the stability matrix has equal nonzero eigenvectors.

A rectifiable current whose boundary is also a rectifiable current.

A linear deconvolution algorithm.

An operator of period 2, i.e., an operator * which satisfies ((a)^*)^*=a.