查询词典 quadratic function

In order to improve the security, a signature scheme based on two hard problem assumptions is proposed. The security of the scheme is based on the difficulties of simultaneously solving the elliptic curve and quadratic residue. A attacker can't forge the signature of messages even if a attacker can solve theelliptic curve discrete logarithm problems or quadratic residue problem in the scheme.

为了提高签名的安全性，本文对Wang等人提出的签名方案进行改进，提出了一个基于椭圆曲线离散对数问题和二次剩余问题的数字签名方案，并对该方案的安全性进行分析，指出在椭圆曲线离散对数问题或二次剩余问题可解的情况下，攻击者也无法伪造消息的签名。

Based on the order number 10, the quadratic sum of residual error is 533%, the extrapolating result is wrong. But with the order number 9, the quadratic sum of residual error is 0.673%, the result is right

对於表面特定温度为θ(0， t)的曲线，测得其0.0129cm处的温度变化规律反推，选取阶数为10时，剩余误差平方和为533%，外推结果错误，选取阶数为9时，剩余误差平方和为0.673%，外推结果正确。

It is also pointed out that an n-mode boson coupled quadratic Hamiltonian can be diagonalized by a "negative unitary" matrix which is an element of complex symplectic group SP(2n,c),and an n-mode fermion coupled quadratic Hamiltonian can be diagonalized by a unitary matrix which is an element of complex fermion group F(2n,c).

并且指出，对于n模玻色子耦合二次型哈密顿量，通过一个负幺正矩阵它是复辛群SP(2n，c的元素可以把它对角化；对n模费米子耦合二次型哈密顿量，通过一个幺正矩阵它是复费米群F(2n，c的元素可以把它对角化。

With the shape parameters, the trigonometric polynomial curves can approach more to the quadratic Bézier curves or to the given control polygon than the quadratic Bézier curves.

由三个控制顶点生成的曲线具有与二次Bézier曲线类似的性质，但具有比二次Bézier曲线更好的逼近性。

Quadratic assignment problem is a NP-hard combinatorial optimization problem and has been applied in various fields. There are always many zero elements in the flow matrix or distance matrix of the quadratic assignment problem instances which are abstracted from the practical problems. Much computation time can be saved if we can first reduce the size of the problem by using its zero elements.

二次分配问题(quadratic assignment problem， QAP)是应用于诸多领域的组合优化NP-难题，许多从实际问题中抽象出来的二次分配问题，其流矩阵与距离矩阵中存在大量零元素，如果在该类二次分配问题的求解中，能够充分利用这些零元素的信息，将大大缩减问题的规模，节省大量运算时间。

This conclusion corrects a mistaken resultIn the planar quadratic system there is not cubic algebraical saddle-nodeseparatrix-loop,in which the author asserrts that quadratic system has no the cubicalgebraical saddle-node separatrix cycle .

本文证明了平面二次系统的三次代数同宿轨线上可以存在鞍结点，并且二次系统可以存在含鞍结点的无返回映射三次曲线分界线环。

The anamorphism, the quadratic distortion Ⅰ, the quadratic distortion Ⅱ and the cubic distortion must be restrained while a rear view mirror is designed.

在后视镜设计中需要控制的象差主要是失真变形、二次方畸变Ⅰ和二次方畸变Ⅱ，以及立方畸变。

In the fifth chapter,we study dipolarizations in some quadratic Lie algebras.Inthe first section,we obtain some results on the classification of dipolarizations in gen-eral quadratic Lie algebras,and prove that there exist dipolarizations in the solvablequadratic Lie algebras whose Cartan subalgebras consist of semisimple elements.

第五章讨论了某些二次李代数的双极化，在第一节中，我们给出了二次李代数的双极化的一些分类结果；特别证明Cartan子代数是由半单元组成的二次李代数上存在双极化，第二节确定了四维扩张Heisenberg代数的所有双极化，在第三节中，我们构造了2n+2维扩张Heisenberg代数的六类双极化，我们发现两个不同于半单李代数情形的有趣事实：（1）在扩张Heisenberg代数上同时存在对称和非对称双极化；（2）对应于扩张Heisenberg代数的双极化的特征元有的是半单的有的是幂零的。

On the basis of analyzing detailedly the correlative conclusions of the extreme value problem of two variable Function , this paper extends the essential condition and sufficient condition to multi-variable function by using the Taylor Formula 、Quadratic Form 、Hesse Matrix and so on,and gives a method to judge the extreme value of point whose vice-derivative doesn't exist by utilizing Lagranges theorem ,so that compensates for the blank above ,which turns idea that solve the extreme value of multi-variable function problem one by one into realities.

摘要本文在对二元函数极值问题的相关结论进行分析的基础上，用泰勒公式、二次型、海赛矩阵作为工具，将二元函数极值的必要条件和充分条件推广到多元函数的情形，而且还利用拉格朗日中值定理找到了一个判别不可导点处极值的方法，从而弥补了多元函数不可导点处极值无法判断的空缺。因而，使得用穷举判断的方法来解决多元函数的极值问题这一思路成为现实。

The objective function of the QP problem is a quadratic function which is an approximation of the Lagrangian function of the constrained problem and the constraints of the QP problem are linear approximation of the constraints of the constrained problem.

这些二次规划子问题的目标函数是原约束最优化问题的Lagrange函数的某种二次近似，其约束条件是原约束条件的线性逼近。

In the chapter 2, the theoretic knowledge about the photosensitive resin and the grinding tools was firstly introduced.

第二章阐述了光固化树脂结合剂磨具的相关理论研究。

Do not use the program's indenting or margin-setting features; these will be added during typesetting.

不要使用缩排，页面边缘设置之类的选项，偶看不大懂。