“Woah! It's like Spotify but for academic articles.”

Instant Access to Thousands of Journals for just $30/month

Subordinate Quadratic Forms and Their Complementary Forms

Subordinate Quadratic Forms and Their Complementary Forms Theorem 1. For α, β on the range 1,..., μ, let Q(z) = * aαβzαzβ be a real valued, nonsingular, symmetric quadratic form. For positive integers r and s such that μ = r + s set (z 1,..., z μ) = (u 1,..., u r:S 1,..., S n), Q(z) = P(u, s) and Formula: see text Let B = (z (1),..., z (r)) be a base “over R” for points z ε πr. For an arbitrary r-tuple ω1,..., ωr set Formula: see text index HB(ω) = κ and nullity HB(ω) = ν. Then Formula: see text http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings of the National Academy of Sciences PNAS

Subordinate Quadratic Forms and Their Complementary Forms

Abstract

Theorem 1. For α, β on the range 1,..., μ, let Q(z) = * aαβzαzβ be a real valued, nonsingular, symmetric quadratic form. For positive integers r and s such that μ = r + s set (z 1,..., z μ) = (u 1,..., u r:S 1,..., S n), Q(z) = P(u, s) and Formula: see text Let B = (z (1),..., z (r)) be a base “over R” for points z ε πr. For an arbitrary r-tuple ω1,..., ωr set Formula: see text index HB(ω) = κ and nullity HB(ω) = ν. Then Formula: see text
Loading next page...
 
/lp/pnas/subordinate-quadratic-forms-and-their-complementary-forms-6pPw7pwZPR

Sorry, we don't have permission to share this article on DeepDyve,
but here are related articles that you can start reading right now: