nondegenerate quadric

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Quadric — In mathematics, a quadric, or quadric surface, is any D dimensional hypersurface defined as the locus of zeros of a quadratic polynomial. In coordinates {x 0, x 1, x 2, ldots, x D}, the general quadric is defined by the algebraic equation… … Wikipedia
Quadratic form — In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including… … Wikipedia

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