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- Application of Quadratic Form Theory in Solving the Maximum and Minimum of Multivariate Quadratic Function 二次型理论在求解多元二次函数最值方面上的应用
- quadratic form theory 二次型
- The absolute stability of a class of indirect control systems by applying the theory of Hermitian quadratic form and Jordan normal form was studied. 利用厄米特二次型和若当标准形理论研究了一般间接控制系统的绝对稳定性问题,给出了绝对稳定性的代数形式的判别准则。
- With the theory of quadratic form, this essay gives out another way to solve the extremum problems of multi-variable functions. 摘要文章以二次型理论为依据,提出了解决多元函数极值问题的另一种方法。
- Abstract: The absolute stability of a class of indirect control systems by applying the theory of Hermitian quadratic form and Jordan normal form was studied. 文摘:利用厄米特二次型和若当标准形理论研究了一般间接控制系统的绝对稳定性问题,给出了绝对稳定性的代数形式的判别准则。
- The total input power flow is expressed in an equation of Hermitian quadratic form as the objective function. 将构造结构总的输入功率流为二次型函数作为控制目标函数,利用哈密尔顿二次型最小值理论给出最优控制力前馈控制表达式。
- This paper proves some Hadamard inequalities from the qualities of positive definite quadratic form. 摘要利用正定二次型的性质,给出阿达马不等式的证明。
- By means of the condition of positive semidefinite of a quadratic form, the location of the tool-axis can be acquired. 传统的数控加工均采用球头刀具,由于刀具与被加工曲面间为点接触,加工精度和效率都较低。
- Given a response surface equation in quadratic form, the Six Sigma Black Belt will be able to compute the stationary point. 给出一个二次方程式形式的响应曲面公式,6西格玛黑带应能计算出驻点。
- We can customize products according to users'requirements: disk, cylinder, quadratic form, ring, sector and some other special shaped magnets. 各种材料制成的圆片、圆柱、方、环、扇、异等形状系列永磁元件。
- Using the singular value decomposition of matrix,the authors give several results on the extremum for matrix quadratic form,which corrects and generalizes some results in [1]. 本文利用矩阵的奇异值分解,给出矩阵二次型极值的若干结果,这些结果修正并推广了文献[1]中的一些结论。
- The concavity and convexity of the pluralistic quadratic function is discussed with quadratic form and simple methods are given to recognize concavity and convexity. 利用二次型理论讨论了多元二次函数的凹凸性,并给出了判别凹凸性的简便方法。
- Abstract: Using the singular value decomposition of matrix,the authors give several results on the extremum for matrix quadratic form,which corrects and generalizes some results in [1]. 文摘:本文利用矩阵的奇异值分解,给出矩阵二次型极值的若干结果,这些结果修正并推广了文献[1]中的一些结论。
- The article analyzes decomposition of the real quadratic form and Hermite quadratic form, and ascertain the condition which the real quadratic form and Hermite quadratic form can separate the product of two linear polynomials. 摘要分析了实二次齐式和厄米特齐式的分解因式,并确定了实二次齐式和厄米特齐式能分解为两个一次因式乘积的条件。
- The system can calculate saddlepoint approximations for distributions of quadratic forms in normal variables. 采用统一的方式记录系统运行错误。
- The detailed study of some mechanical parameters and forming theory of arch cold forming are introduced. 本文重点研究与冷弯成拱过程有关的力能参数及冷弯成拱原理。
- Barkirov introduced majorization in the research of quadratic form of random variables and got the result as following: If , be independent normal random variables , two positive vectors , then . Bakirov首次将控制序概念引入到高斯向量二次型分布的不等式研究,并且证明了下述结论:令 为相互独立的标准正态变量, 和 为两个正的实向量。
- Cantor set is the classic deputy of disport form theory ,Cantor set has some complete characters ,such as complete、self-similar and etc.So many researchers have a great interests in Cantor set. 康托尔集合是分形理论的典型的代表,由于康托尔集具有完备性,自相似性等比较全面的性质,一直是数学界广大学者广泛探究的兴趣所在。
- The existing means of finite-element method is based on the classic forming theory, so it needs to be improved to simulate the micro forming. 传统有限元分析方法是建立在经典塑性理论基础之上的,需要改进才能对微塑性成形过程进行模拟。
- When A is a nonnegative definite matrix with finite maximum eigenvalue, the strong convergence of random quadratic forms is established under finite fourth moment. 当A为非负定矩阵且其最大特征根有限,随机变量存在有限的四阶矩情形下,获得了二次型的强收敛。
