Subordinate Quadratic Forms and Their Complementary Forms
AUTOR(ES)
Morse, Marston
RESUMO
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 (z1,..., zμ) = (u1,..., ur:S1,..., Sn), 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]
