Using this description we show that the discriminant of the quadratic form is the discriminant of this polynomial.RicardoBaezaSDOSJournal of AlgebraR. Baeza, Discriminants of polynomials and of quadratic forms, J. Algebra 72 Z1981., 17᎐28....
a relatively simple mathematical expression that determines some of the properties, as the nature of the roots, of a given equation or function. [1830–40; < Latindiscrīminant-, s. ofdiscrīmināns, present participle ofdiscrīmināreto divide up, separate] ...
5) discriminant of elements of field 域元素的判别式6) discriminant of a quadratic form 二次型的判别式补充资料:单环 单环 simple ring 单环f咖沙对皿峨;即ocTOeKO糊0] 含有不止一个元素,除了0和整个环,没有其他双侧理想(i击川)的环.有单位元并含极小单侧理想的结合单环同构于某个除环上的矩阵...
(algebra) An expression that gives information about the roots of a polynomial; for example, the expression D = b2 - 4ac determines whether the roots of the quadratic equation ax2 + bx + c = 0 are real and distinct ( D > 0), real and equal ( D = 0) or complex ( D < 0). ...
This is a preview of subscription content, log in via an institution to check access. Similar content being viewed by others A Note on Centralizers and Twisted Centralizers in Clifford Algebras Article 17 September 2024 Orthogonal involutions and totally singular quadratic forms in characteristic...
NP Smart - 《Mathematics of Computation》 被引量: 47发表: 1995年 ON THE CONSTRUCTION OF INDECOMPOSABLE POSITIVE DEFINITE QUADRATIC FORMS OVER $Z^{*}$ The aim of this paper is to construct indecomposable positive definite Z-lattices withgiven rank n(2≤n≤9) and discriminant a,a being compos...
Quadratic DA can be used when the covariance matrices of the groups are known to differ. However, since LDA cannot be performed when the number of variables exceeds the number of observations, variations of PLS-DA and OPLS-DA (Orthogonal Projections to Latent Structures; Bylesjö et al., ...
Discriminant Algebras and Adjoints of Quadratic Forms this paper, we present a definition of D(q) in a natural basis-free way which avoids the Clifford algebra entirely. We sketch this definition for the most interesting case of a quadratic module M of even rank 2n over a commutative ring ...
Explicit exact formulas are obtained for the number of representations of positive integers by some direct sums of quadratic forms and . Key words and phrases.:Spherical function with respect to the quadratic form;theta-series;Eisenstein series ...
Fourier coefficients of half-integral weight modular forms modulo l Ann. Math., 147 (1998), pp. 453-470 CrossrefView in ScopusGoogle Scholar Cited by (3) Multi-quadratic p-rational number fields 2021, Journal of Pure and Applied Algebra Show abstract Existence of an infinite family of pairs...