quadratic a. 二次的 n. 二次方程式,二次方程式论 definite a. 1.清楚的; 明确的; 确切的 2.肯定; 有把握 positive a. 1.确定的;;确实的 2.确信的;有自信的(+of/about)(+that) 3.绝对的 4.积极的,建设性的 5.真实的;实际的;实在的 6.【口】完全的,纯粹的 7.【语 form n. 1.[C,...
非半正定和非半负定(not positive semi-definite and not negative semi-definite)的矩阵有时称为不定(indefinite)矩阵。 等效条件 从上述定义可知,矩阵是正定的当且仅当它是正定二次型(positive-definite quadratic form)或 Hermitian 型矩阵。换句话说,矩阵是正定的当且仅当它定义了内积(defines aninner product....
basic positive definite quadratic form基本正定二次型 1.In this paper,We give concepts of positive definite matrix basis and orthogonal matrix basis,and show that every real quadric form can be lineally expressed by basic positive definite quadratic form; every linear transformation in Euclidean space...
an expression of the form(where aik = aki) that assumes nonnegative values for all real values of x1, x2,…, xn and that vanishes only when x1 = x2 = … = xn = 0. Thus, the positive definite quadratic form is a special case of a quadratic form. Any positive definite quadratic ...
网络正定二次型 网络释义 1. 正定二次型 数学专业... ... positive definite operator 正定算子positive definite quadratic form正定二次型positive direction 正方向 ... e.3edu.net|基于30个网页 例句 释义: 全部,正定二次型
A (positive definite integral) quadratic form f is said to be Sd,a-universal if it represents all integers in the set Sd, a, and is said to be Sd,a-regular if it represents all integers in the non-empty set Sd,a ∩ Q((f)), where Q(gen(f)) is the set of all integers that...
Positive definite Matrix 正定矩阵(大佬云集) 接着上文 Positive definite Matrix 正定矩阵(先导知识)的铺垫,我们终于要迎来我们的主要篇章。这里,昔日的大佬, Pivot, Determinant, Eigenvalue , 以及我们新晋明星 Quadratic Form … 托比欧 “正定矩阵”的直观理解 正定矩阵可以理解为一种矩阵(这当然是一句废话)。1...
curvesLet F(x, y) = ax2 + bxy + cy2 be a positive definite binary quadratic form with discriminant 螖 whose base points lie on the line x = -1/m for an integer m = 2, let p be a prime number and let Fp be a finite field. Let EF : y2 = ax3 + bx2 + cx be an ...
Let S be a ternary quadratic form with integer coefficients, given by the equation (1) /(x( y) z)=ax2+by2+cz2+ryz +sxz +txy. Unless otherwise stated,we assume that / is positive definite (that is, that fix( y) z) > 0 for real numbers x( y) z unless x =y = z= 0) an...
22 Positive definite quadratic forms representing integers of the form an2 + b 11 From the assumption given above, we have r2 − s2 − 13t2 + 13u2 ≡ 0 (mod 4). Therefore there is an integer a such that r2 − s2 − 13t2 + 13u2 = 4a. Now since r2 + s2 + 13t2 + ...