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UP to now two algorithms for computing a local optimum of the optimal fuzzy equivalent matrix of a fuzzy similarity matrix and some heuristic methods have been introduced.

求与一个模糊相似矩阵"距离"最近的模糊等价矩阵,至今已提出了两个求局部最优解的算法和一些启发式算法,本文也提出一个简便可行的求局部最优解的算法,这算法与线性规划的单纯形算法一样,也是在有限个"顶点"上寻优。

How to judge whether judgement matrix has weak consistency or not is proposed, and the theory and algorithm to find equivalent consistency matrix of weak consistency judgement matrix is designed.

从寻求灰色判断矩阵的所有一致性白化阵、灰元的最小灰域的角度出发,去给出灰色判断矩阵的弱一致性和一致性定义,证明了一致性灰阵中所含信息均为一致性信息,并给出了判定矩阵是否具有弱一致性和寻求弱一致性判断矩阵的等价一致性矩阵的定理和算法。

Security analysis for two quantum key distribution protocols was presented by using EPR pair and complete Bellstate measurements. It is also shown that those two protocols are totally equivalent from the point of view of the topological structures on how to measure the corresponding qubits at random.

对两个使用EPR对和Bell测量基的量子密钥分配协议的安全性进行了分析,从测量不同位置的量子比特的拓扑结构出发,证明了这两个协议的等价性。

Security analysis for two quantum key distribution protocols was presented by using EPR pair and complete Bell-state measurements. It is also shown that those two protocols are totally equivalent from the point of view of the topological structures on how to measure the corresponding qubits at random.

对两个使用EPR对和Bell测量基的量子密钥分配协议的安全性进行了分析,从测量不同位置的量子比特的拓扑结构出发,证明了这两个协议的等价性。

Furthermore, methods of well-test interpretation are researched in aspects of observation points, equivalent pressure point and treatment for multi-solutions of pressure response.

以渤海油田4个分支井眼的水平分支井SZ36-1-CF1为例,系统研究了非均质双重介质油藏中瞬时压力响应的有效算法、在无限导流能力的井内等价压力点的取法、以及严重存在多解情形的试井解释方法等。

In order to avoid introducing errors existing in full state observer, for flexible structure with immeasurable states a equivalent system is constructed which only takes the past inputs and outputs of the original system as the states. Multi-step predictive optimal method is required to solve the convergence law of sliding surface.

针对模态不可测的挠性结构,为了避免设计状态观测器以及引入观测器误差,从原系统构造了仅利用过去的输入和输出信息作为状态的等价系统,用多步预测滚动最优的方法求解滑动平面的趋近律。

The equivalent transformation and mutual relationship of the various adjustment model has mainly discussed and analyzed based on the functional model of the various adjustment methodology in this paper.

基于测量平差中各种平差方法其函数模型的表达,文中重点论证了各种平差方法之间的等价转换及其相互关系,得到的结果有利于各种平差方法的理解与渗透,对测量数据处理理论的分析和应用具有一定的参考价

Rough set theory and factor space are all applied worldly. The partition determined by equivalence relation is the same as knowledge in rough set theory, that is, knowledge is regarded as a partition of data.

粗糙集理论和因素空间在各个方面有着广泛的应用,由于粗糙集理论将等价关系对空间的划分与知识等同,即将知识理解为对数据的划分,任何U的子集称为U中的一个概念或范畴。

Let P be a Markov operator in, and Q any ergodic Markov operator possessing finite invariant measure. In this note a simple and direct proof of the equivalence of the mixing property for Q and the ergodicity for Cardesian product PQ is given.

设P是L上的Markov算子,Q是任一具有有限不变测度并且遍历的Markov算子,在这篇注记中我们给出了P的混和性和Cartesian积P×Q的遍历性相互等价这一结果的直接而简单的证明。

Firstly, by constructing the Lyapunov function with a special structure, a prior estimate is obtained. Secondly, with the help of Green\'s function, the original problem is transformed into an equivalent operator equation, and the fixed point theory of contraction mapping in a Banach space guarantees the existence and uniqueness of the global solution.

首先,构造具有特殊结构的Lyapunov函数,得到解的先验估计;其次,借助Green函数将原方程等价变换成算子方程,Banach压缩映射的不动点定理保证了全局解的存在唯一性;最后通过常微分方程的定解,证明了主要结论,即平凡解全局渐近稳定。

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