多函数

By using of complex variable and integral equation methods, the antiplane multiple elliptical holes and multiple cracks problem of infinite region was considered.

摘 要：运用复变函数及积分方程方法，求解了无限域中的多椭圆孔多裂纹反平面问题。

In this dissertation , the methods of prediction and parameters\' estimation based on stationary multivariate autoregressive models AR(p are studied systematically. Some properties of these methods are formulized.In the first part, it introduce some basal conceptions about multidimensional stationary time series, contained the estimation and property of mean vector and auto-covariance function. Then the stable condition of multidimensional AR models are discussed.

本文主要研究了多维平稳序列自回归模型AR的参数估计及其相关的统计性质，具体内容如下：第一部分，介绍了多维平稳时间序列及其均值向量和协方差阵函数的概念，并引入了多维AR模型及其数字特征，在此基础上给出了模型的平稳性条件。

The properties and expression of knowledge are discussed in brief and binary and multiple truth expression and inference of knowledge are studied focally. The neural networks which can realized the three valued logic are overviewed. The new idea of uncertain inference based on three valued logic is proposed for the first time The models of neural logic, which can realize three valued logic and uncertain three valued logic inference are proposed, too. The learning algorithm of coefficient of MVL's function based on the canonical realization of MVL network is investigated for the first time and the appropriate algorithm is proposed.

4简要地论述了知识的特征及其表现形式，重点研究了知识的真值二值和多值表示法以及基于知识真值表示法的逻辑推理；通过对目前可实现三值逻辑推理的逻辑神经元及其网络的简要回顾，指出了各自的局限性，首次提出了基于三值逻辑的不定性推理的新概念以及可实现三值逻辑和三值逻辑不定性推理的逻辑神经元模型，同时对基于这种逻辑神经元模型的推理系统的应用领域进行了探索性尝试；另外，首次对基于多值逻辑网络正规实现的多值逻辑函数的系数参数的学习算法进行了研究，并提出了相应的学习算法。

For solving Multi-objective and multi-restriction optimization problem , this paper used non-dominated ranking method, elitist preserve strategy, niche approaches, and presented an individual vector module adaptive function as wash out rule, then an improved Pareto multi-objective optimization with genetic algorithm was found.

为解决含多个目标和多约束的优化问题，本文结合了非支配排序思想、精英保留策略，小生境技术，并对传统的小生境技术中基于个体适应度的淘汰技术进行改进，提出了一种向量模适应度函数来作为淘汰准则，得到一种改进的Pareto遗传多目标优化算法。

The Lexicographic method has subjective and empirical character,so a weighting coefficient is introduced by considering the importance and proportion of each individual object,the preferable result of every individual object can be confirmed by comparing the degree of similarity between the perfect one and the ecumenic one and the Fuzzy optimization will be perfect.

多目标最优化问题最早的出现[1]，应追溯到1772年，当时franklin就提出了多目标矛盾如何协调的问题。由于多目标优化的特点，只有很少问题具有满足所有目标函数最优化的&最优解&，而大多数情况只有一个折衷意义的&偏好解[&2，3]。

Therefore, according to characteristics of threat assessment and multiple att ribute decision making, the model and method for threat assessment based on mult iple attribute decision making are presented in this paper.

根 据威胁评估和多属性决策的特点，提出了基于多属性决策的威胁评估模型和方法，应用隶属函数及逼近于理想的排序法分析，并通过示例说明应用多属性决策的威胁评估方法。

A mathematical model of the relation between ethanol concentration, solid-liquid ratio, time of ultrasonic wave and the extraction ratio of polyphenol in oil-tea seed residue has been established by means of quadratic general rotary unitize design and ultrasonic wave cooperated method.

采用二次通用旋转组合设计试验方法和超声波辅助提取工艺方法，建立了乙醇浓度、料液比、超声时间与油茶籽饼多酚类物质提取率之间的数学模型，绘制了单工艺参数、双工艺参数与多酚提取率之间的函数图像，得出了多酚类物质提取的最佳工艺。

Considering the characteristics of multi-variables and multi-objectives in the burnup calculation process of nuclear system, the optimization control method based on GA is presented as a functional module of the multi-functional transport/bu...

利用FDS课题组开发的多功能中子学程序系统VisualBUS1.0，针对该系统燃耗计算过程具有多变量和多目标函数复杂关系的特点，应用遗传算法对嬗变包层的锕系废料嬗变区的初装料量进行了优化处理，使其在一定的物理和工程参数约束下，指导嬗变区的装料份额取值，分析嬗变区的装料份额对锕系废料的年燃耗深度等参数的影响。

A colorimeter, comprising: a semiconductor substrate having at least three photodetectors; at least three filters permanently deposited on the at least three photodetectors, each filter having at least a single layer and at least one filter having a double layer; and a plurality of channels including the photodetectors and filters so that linear combinations of a plurality of spectral responses of the channels approximate a set of CIE-like target color-matching functions.

一种色度计其中包括：半导体基板设置至少有三个探测器；至少有三个滤波器永久存放在至少三个光电探测器内，每个滤波器至少有一个单层滤波器和一个双层过滤器；多个的通道，所述的多个通道包括探测器和过滤器，使线性组合多个的光谱响应的通道近似一组CIE-like指标颜色匹配函数。

This paper compared the new algorithm with some typical multimodal optimization algorithms on the basis of which the tests and analyses of them were conducted. Results show that the new algorithm can successfully locate the multiple extrema that outhors need at highest speed.

将该算法与几种典型的多峰寻优方法进行了对比测试和分析，结果表明，对复杂多峰函数，该算法能以最快的收敛速度实现多峰搜索。

And discuss some key point of integrated management system design, include hazard identification and risk assessment and risk control in the occupational health and safety management, the measure of satisfaction target of customer, the flawlessness of law system, the integration of the integrated management system and enterprise standardization system, unify lead institution and work orgnization, integreted internal audit and integrated management review.

同时，论述了一体化管理体系构建中的几个主要问题，包括职业健康安全管理中的危险源辨识、风险评价和风险控制、顾客满意度的科学监测、法律、法规体系的完善、一体化管理体系与企业标准化体系的有机结合、统一的领导机构和工作机构、一体化的内部审核和管理评审。

Deepwater Taranaki is investigated for its petroleum potential, using all available seismic data tied to shallow-water wells.

运用与浅水井相关的现有全部震波探测数据考察了深海区塔拉纳基盆地的油藏前景。