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binary quadratic
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  二元二次
     On the Representation of Integers by Binary Quadratic Primitive Forms Ⅱ:The Diophantine Equation D_1x~2-D_2y~2=δk~z
     关于二元二次原型表整数Ⅱ:Diophantus 方程 D_1x~2-D_2y~2=δk~2
短句来源
     The discussing process follows the steps below:First,by means of the theory of algebraic invariant,we make algebraic classification to binary quadratic and quatic homogeneous polynomial , as illustrated in Lemma2.1.1,Lemma2.1.2;
     一、采用代数不变式理论,对二元二次和二元四次多项式分别进行代数分类,如引理2.1.1、引理2.1.2所示;
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     In this paper we give a simple method for factorization in real number field to binary quadratic polynomial F(x,y)=ax 2+bxy+cy 2+dx+ey+f and, by using the method, quadratic polynomials in several elements can be decomposed simply.
     给出二元二次多项式 F(x,y) =ax2 +bxy +cy2 +dx +ey +f在实数范围内因式分解的一种简便方法 . 利用这种方法 ,还可以简便地分解多元二次多项式
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     The variations of soil depth after tillage with its depth before tillage and slope gradient can be described with a binary quadratic paraboloid regression equation.
     耕作后原耕层土壤距地表深度随耕作前距地表深度及坡度的变化可用二元二次抛物面相关方程描述;
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     Simple Method for Factorization of Binary Quadratic Forms
     二元二次式因式分解的简便方法
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  “binary quadratic”译为未确定词的双语例句
     Let p be a prime with p≡3(mod 4). In this paper,by using some results relate the representation of integers by primitive binary quadratic forms,we prove that if x,y,z are positive integers satisfying x~p+y~p=z~p, p|xyz, xp~(6p-2)/2.
     本文证明了:对于适合p≡3(mod4)的素数p,方程x~p+y~p=z~p,p|xyz,0p~(6p-2)/2以及z—x>p~(6p-3)/4。
短句来源
     1. Based on the semidefinite programming relaxation of the binary quadratic programming, the equivalent nonlinear programming model is obtained by use of the matrix factorization technique and the low rank factorization technique.
     1.基于{-1,1}二次规划的半定规划松弛模型,利用矩阵分解技巧和低秩分解技巧得到与半定规划松弛模型等价的非线性规划模型,提出求解该模型的序列线性规划算法和序列二次规划算法.在一定的条件下,证明了算法的全局最优性。 结合随机扰动算法给出了{-1,1}二次规划的一个较好的近似解。
短句来源
     Study on the Algorithms and Applications of the Binary Quadratic Programming
     {-1,1}二次规划算法及其应用研究
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     A Continuous Approach to Binary Quadratic Problems
     求解二进制二次规划问题的一种连续化方法
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     The paper studies some approximate algorithms and some optimal algorithms with pretreatment for the binary quadratic programming, and the algorithms are applied to the multiuser detection problem and the design of the FIR digital filters.
     本文主要研究了{-1,1}二次规划的一些近似求解算法和一些带预处理的优化算法,并把这些算法应用到多用户检测问题和离散系数的FIR数字滤波器设计问题中。
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  相似匹配句对
     Extremun Formula of Binary Quadratic Function
     二元二次函数的极值公式
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     Study on the Algorithms and Applications of the Binary Quadratic Programming
     {-1,1}二次规划算法及其应用研究
短句来源
     Binary Optics
     二元光学
短句来源
     THE HEIGHT OF BINARY TREES
     关于二叉树的高
短句来源
     GENERALIZATION OF QUADRATIC SPLINES
     二次样条的一种推广
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  binary quadratic
We consider a still NP-complete partial case of the unconstrained binary quadratic optimization problem that can be described in terms of an undirected graph with red edges having negative weights and green edges having positive weights.
      
Formulas are obtained for the number of representations of a positive integer by the sum of k binary quadratic forms of the kind , of the kind and of the kind .
      
On the Representation of Numbers by the Direct Sums of Some Binary Quadratic Forms
      
On the Number of Representations of Positive Integers by a Direct Sum of Binary Quadratic Forms with Discriminant -23
      
Representations of integers by certain positive definite binary quadratic forms
      
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Let D be a non-square integer,let D_1,D_2 be integerssatisfing D_1D_2=D,gcd(D_1,D_2) =1 and D_1>0,and let kbe an integer with gcd(k,D)= 1. In this paper wegive all integer solutions(x,y,z)of the equation D_1x~2-D_2y~2=δk~2,where δ=1,2 or 4,by virture of the representation of integers by binary quadratic primitive forms.

设 D 是非平方整数,D_1、 D_2是适合 D_1,D_2=D,gcd(D_1,D_2) =1,D_1>0的整数,k 是适合 gcd(k,D)=1的整数.本文根据二元二次原型表整数方面的结果,运用初等方法完整地给出了方程 D_1x~2-D_2y~2=δk~(?),δ=1,2或4的全部整数解(x,y,z).

Let p be a prime with p≡3(mod 4). In this paper,by using some results relate the representation of integers by primitive binary quadratic forms,we prove that if x,y,z are positive integers satisfying x~p+y~p=z~p, p|xyz, xp~(6p-2)/2.

本文证明了:对于适合p≡3(mod4)的素数p,方程x~p+y~p=z~p,p|xyz,0p~(6p-2)/2以及z—x>p~(6p-3)/4。

This paper puts forward the binary quadratic regression -model by using D-saturation regression design for high yield. The best method and quantity of spreading KOMIX on spring-culitivated summer cotton is 192. 82ml per mu intransplant soil, 168. 01ml per mu on the back of cotton leave before squaring. The lint increases 10. 78kg by14. 92 percent and makes 114. 93 yuan pure profit per mu.

采用D─饱和最优回归设计,以皮棉产量为目标,建立二元二次回归模型,经数学运算得出:惠满丰在春育夏栽棉花上最佳施肥方法及用量为,移栽沟土壤喷施192.82ml/亩,及现蕾前棉株叶背喷施168.01ml/亩,每亩增收皮棉10.78kg,增产14.92%,每亩纯利润114.93元。

 
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