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We prove the equivalent conditions of completely monotone function, we also discuss the relationship of positive definite function, semi-positive definite function and completely monotone function when the function take values in a commutitive von Neumann algebras.

我们证明了完全单调函数的几个等价条件,并且讨论了取值于交换von Neumann代数的正定函数,半正定函数及完全单调函数之间的关系。

It is a natural generalization of the notion of implicative ideals in BCK algebras.

证明了BCI代数的一个非空子集是BCI关联理想当且仅当它既是BCI交换理想又是BCI正定关联理想,从而揭示了这三类理想之间的内在联系,并将BCK代数中知名论断:BCK代数的一个非空子集是关联理想当且仅当它既是交换理想又是正定关联理想,推广到BCI代数上去。

In this paper, the algorithm of BFGS has been used to solve the problem, which was demonstrated by the results of NFEA and the nonlinear functional analysis logically.

其次,针对支架的弹塑性大变形分析过程容易出现负刚度导致分析终止的问题,本研究采用BFGS算法解决了该问题,并且利用非线性泛函定理证明了起始刚度正定,BFGS算法能使刚度始终保持正定。

Based on the definitions of generalized positive definite matrix , a further study of it is made in the present paper, and several new results are obtained as a consequence.

本文利用广义正定矩阵的概念,对其作进一步的研究,并由此得出广义正定矩阵的几个新结果。

This paper discusses the ways in the problem of generalized characteristics in vibration to convert rigidity matrix or quality matrix into positive definite matrix when they are positive semi-definite matrix.

讨论振动中的广义特征问题的刚度矩阵或质量矩阵为半正定阵时如何使其转化为正定矩阵。

In chapter one, we give the definition of the sub-generalized positive definite matrix,study the inverse problem of matix eqution AX = B on the sub-generalized positive definite matrix.

第一章,给出了次广义正定矩阵的定义,进而研究了矩阵方程AX=B在次广义正定矩阵类上的反问题解。

The text for making every variety positive definite matrix and positive sub-definite matrix to unification, the concept of almost positive definite matrix is given, and its properties and determinant theories are discussed, and many new results are obtained.

本文研究了各类正定矩阵与次正定矩阵的基本性质及行列式理论,提出了准正定矩阵的概念,获得了许多新的结果,推广了Hadamard、Openheim、Ostrowski-Taussky与Minkowski等著名不等式以及屠伯埙、杨新民等的有关结果,扩大了Minkowski不等式的指数范围。

This paper sets forth non zero element dynamic memory trigonometric decomposition method of large scale sparse positive definite normal equation, which is regular, simple and intuitive, and therefore it is ease to realize in the computer.

本文针对具有正定性质的大型稀疏法方程,提出了大型稀疏正定法方程的非零动态存储三角分解法,运用复式链表来动态存储稀疏矩阵。

Necessary and sufficient conditions for the matrix equation to have symmetric positive semidefinite solutions are derived using the generalized singularvalue decomposition.

利用广义奇异值分解导出了该矩阵方程有对称半正定解的充分必要条件,并且给出了一般对称半正定解的表达式

Except 1 90 3 year for project of big bridge of river of escape Hu a small bay in a river, reduce cost, the start in planning the contract is changing surely for brace up head , flourish now should be to deciding government office.

若不是 1 90 3年为了避开滹沱河大桥工程,减少费用,将合同计划中的起点正定改为了振头,现在繁荣的应该是正定府。

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I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像,后来回台湾,甚至去年在北京,居然也四处看见她的海报,才惊讶她的魅力之大。

Ah may dee:You are chinese living in a democratic country.

你是居住在民主国家的中国人吧。