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A transformation of the form A^'=UAU^(H), where U^(H) denotes the conjugate transpose.

Erdős proved that there exist at least one prime of the form 4k+1 and at least one prime of the form 4k+3 between n and 2n for all n>6.

A second-order ordinary differential equation of the form

An ordinary differential equation of order n is an equation of the form F(x,y,y^',...,y^((n)))=0.

For every even dimension 2n, the symplectic group Sp(2n) is the group of 2n×2n matrices which preserve a nondegenerate antisymmetric bilinear form omega, i.e., a symplectic ...

A basis, form, function, etc., in two or more variables is said to be multilinear if it is linear in each variable separately.

Diagonalize a form over the rationals to diag[p^a·A,p^b·B,...], where all the entries are integers and A, B, ... are relatively prime to p. Then the p-signature of the form ...

A game in which the possible moves are the same for each player in any position. All positions in all impartial games form an additive Abelian group. For impartial games in ...

A covariant tensor of rank 1, more commonly called a one-form (or "bra").

The conversion of a quadratic polynomial of the form ax^2+bx+c to the form a(x+b/(2a))^2+(c-(b^2)/(4a)), which, defining B=b/2a and C=c-b^2/4a, simplifies to a(x+B)^2+C.