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Classification, Construction, and Similitudes of Quadratic Forms

We present a theory of classifying quadratic forms over an algebraic number field which is a reformulation of Eichler's methods and different from the traditional theory of Hasse. As applications we ...
Nature

Quadratic Forms and their Classification by Means of Invariant Factors The Axioms of Projective Geometry The Axioms of Descriptive Geometry

THESE are Nos. 3, 4, and 5 of the Cambridge Tracts in Mathematics and Mathematical Physics, which are intended to help students by providing them with brief and readable introductions to mathematical ...
JSTOR Daily

The Exact Cumulative Distribution Function of a Ratio of Quadratic Forms in Normal Variables, with Application to the AR(1) Model

Often neither the exact density nor the exact cumulative distribution function (c.d.f.) of a statistic of interest is available in the statistics and econometrics literature (e.g., the maximum ...
Nature

Identity for the Product of Two Positive Definite Quadratic Forms

THE problem of generalizing the following basic identity given in Hardy, Littlewood and Pólya 1, remains to be considered. We shall show that the generalized Cauchy inequality follows immediately from ...