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Tests using model data and field data, and CFP-AVP analysis all proved the validity and practicality of amplitude-preserved processing method based on bifocal version of CFP technology.

模型试算和实际数据试处理以及CFP-AVP分析结果都表明了基于射线理论和基于波动方程波场延拓理论的双聚型CFP保幅处理方法的有效性和实用性。

A comprehensive research has made in the application of elliptic curve based bilinear mapping in the group signature, security of bilinear mapping is established on the GAP group. Because the DDH problem is easy to solve in GAP, this fact results it is very difficult to design a bilinear mapping based group signature scheme which can satisfy anonymity and the tractability.

对基于椭圆曲线的双线性映射在群签名中的应用进行了深入的研究，由于双线性映射的安全性建立在GAP群上，而在GAP群上的DDH问题是容易求解的，这样导致在基于双线性映射的群签名方案设计中很难同时兼顾群签名的匿名性和可跟踪性。

Though the analysis, taking different strategy according to the threshold signature synthetist\'s role, a bilinear mapping based threshold group signature scheme in which synthetist is a group member was proposed, as well as a bilinear mapping based threshold group signature scheme with forward security in which synthetist is security mediator was proposed.

在分析的基础上，根据门限签名合成者身份的不同采用不同的设计策略，提出了一个基于双线性映射的门限群签名方案，以及一个基于双线性映射的前向安全的门限群签名方案。

Firstly, an ID-based signature scheme is proposed based on pairings. The bilinearity and non-degeneration of pairings are explored to make the verification result of the signature vary only with the identity of the signer.

基于双线性对构造了一种基于身份的签名算法，利用双线性对的双线性和非退化性，使得算法中签名矢量的验证结果相对于用户身份为一个常量。

In this paper, based on the analysis of the genetic algorithm on binary coding, a preliminary discussion is made on the genetic algorithm of natural number coding.

在分析基于二进制编码的遗传算法基础上，对基于自然数编码的遗传算法作了初步的探讨。

Based on the initial parameters that have been determined in the first step, the structure of a fuzzy neural network is optimized by using a genetic algorithm with the decimal coding scheme, and the parameters are optimized with the binary coding scheme.

在给定初始参数基础上，利用基于十进制编码的遗传算法实现模糊神经网络的结构优化，用基于二进制编码的遗传算法实现模糊神经网络的参数优化。

Based on an analysis of the internal relation between binary and sets ,a novel idea of binary-based set operation is presented in this paper.

通过比较二进制与集合之间的内在联系，提出了基于二进制的集合运算思想，给出了基于二进制的各种集合运算算法，该算法有效解决了传统集合操作算法中运算速度慢，效率低的不足，并提供了求幂集，交集，并集等集合运算算法的c语言源程序。

The fuzzy entropy based on equivalent relation is extended to generalize the fuzzy entropy based on general binary relation, and the calculating formula and the equivalent expression of the generalized fuzzy entropy are also given.

并将基于等价关系的粗糙集的模糊熵拓展到基于一般二元关系下粗糙集的广义模糊熵，给出了广义模糊熵的计算公式及等效表示形式。

This thesis is about the establishment of semantic Web based on the binary relation ,advances the formal definition of the semanteme in the semantic Web,based on it,advances the way semanteme is described and derived and discusses the semantic completeness.

基于二元关系讨论了语义Web的建立过程，具体给出语义Web中相关语义的形式化定义，并基于此给出了语义描述和挖掘方法，进行了集合相关语义的完备性的证明。

Thirdly, a research is done on the stage investment in the venture investment andthe re-evaluating value of venture investment based on analyzing the actual performance of the venture enterprise. Then a real option decision model by using the binomial theorem is suggested creatively in this paper.

最后，在对分阶段投资和基于实际业绩的价值重估进行分析的基础上，基于二项式期权定价公式推导出了一个针对分阶段投资的实物期权决策模型。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。