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

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

A surface given by the form z=F(x,y).

A relation R on a set S is reflexive provided that xRx for every x in S.

The set P^2 is the set of all equivalence classes [a,b,c] of ordered triples (a,b,c) in C^3\(0,0,0) under the equivalence relation (a,b,c)∼(a^',b^',c^') if ...

A set X is called a "cone" with vertex at the origin if for any x in X and any scalar a>=0, ax in X.

The apodization function A(x)=(1-(x^2)/(a^2))^2. Its full width at half maximum is sqrt(4-2sqrt(2))a. Its instrument function is ...

The cotangent bundle of a manifold is similar to the tangent bundle, except that it is the set (x,f) where x in M and f is a dual vector in the tangent space to x in M. The ...

If P=p:q:r and U=u:v:w are distinct trilinear points, neither lying on a sideline of the reference triangle DeltaABC, then the crosssum of P and U is the point ...

A cube 35-compound can be constructed as the dual of the octahedron 35-compound. It will be implemented in a future version of the Wolfram Language as ...