JSTOR Daily

Solving Quadratic Equations Using Reduced Unimodular Quadratic Forms

Let Q be an n x n symmetric matrix with integral entries and with det Q ≠ O, but not necesarily positive definite. We describe a generalized LLL algorithm to reduce this quadratic form. This algorithm ...
JSTOR Daily

On the Existence of Moments of Ratios of Quadratic Forms

We obtain simple and generally applicable conditions for the existence of mixed moments E([X′ AX]u/[X′ BX]v) of the ratio of quadratic forms T = X′AX/X′BX, where A and B are n × n symmetric matrices ...
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 ...
Nature

Analysis and interpretation of quadratic models of receptive fields

Research in neuroscience has seen a recent trend toward the extension of receptive field (RF) estimation techniques and theoretical principles from linear to non-linear models. This development has ...