数学处理

The infeasibility degree was introduced into the mathematical model of voltage regulation, which can deal with the constraints of the model. In addition, an improved genetic algorithm was used to solve the voltage regulation problem.

在电压无功调整的数学模型中引入了不可行度概念，用于处理模型中的约束条件，并结合改进遗传机制的遗传算法对系统进行电压无功调整。

A series of theoretical and experimental studies on the microstrip patch antennas with dielectric superstrates is carried out systematically. Firstly, a comprehensive survey of the microstrip antenna technology and its theories are presented. Then, two analysis techniques, named as the spectral domain Green's function method and the spectral domain integral equation method are developed. The SDGF method is a simplified analysis technique, which takes advantage of the spectral domain immittance approach to find the dyadic Green's function for the stratified media, and obtains the complete closed-form formulas for radiation patterns, directivity, efficiency, gain etc. Some interesting calculated results are presented. The SDIE method is capable of determining resonant frequency, radiation characteristics, input impedance etc, for the covered microstrip patch antennas. Comparing with other full-wave analyses it reduced computation and mathematical labour remarkably. The singularities near the pole location of the surface-wave modes and the difficulty of the integral computation over infinite range of oscillating integrands are dealt with actively and documented well. Results predicted by the SDIE method agree extremely well with our experimental results for resonant frequencies of various superstrates. The superstrate effects on impedance and radiation characteristics also have been investigated experimentally so that the gap due to lack of measured data and computed results for multi-layered superstrate has been filled to some degrees and two useful observations have been achieved for weakening the resonant frequency shift and optimizing the microstrip antenna gain. As a meaningful application, the design and analysis of a 4×4 patch array are introduced.

实用微带天线普遍加介质覆盖层来防护热，物理损伤和环境影响，也可能在飞行或严酷气候条件下自然形成覆盖层本论文对带介质覆盖层的微带贴片天线系统地作了一系列理论和实验研究首先，对微带天线技术和理论作了全面的综述然后，发展了两种分析方法，称为谱域格林函数法和谱域积分方程法SDGF法是一种简化的分析技术，它利用谱域导抗法来求得分层媒质的并矢格林函数，并得出方向图、方向性系数、增益等参数的完整的闭式公式，给出了一些令人感兴趣的计算结果SDIE法能确定介质覆盖微带天线的谐振频率、辐射特性和输入阻抗等与其它全波分析方法相比，它明显减小了计算量和数学工作量已有效地处理了表面波模极点附近的奇异性和对振荡的被积函数的无限区间积分计算的困难对于不同覆盖层情况下的谐振频率，由SDIE法所预示的结果与我们的实验结果吻合得很好对于覆盖层对阻抗和辐射特性的影响也已作了实验研究这在某种程度上填补了缺少实验数据和计算结果之间的间隙，并得出了缓解谐振频率偏移和优化天线增益的两点有用的结论作为有意义的应用，介绍了一个4×4元矩形贴片天线阵的设计和分析。

A new branch of mathematics, dealing with infinitely small quantities, gives now in other more complex problems of dynamics solutions of problems that seemed insoluble.

数学的一个新的分支在解决了处理无穷小数的技术后，现已能在其他更为复杂的运动问题上求得对以前似乎解决不了的那些问题的答案。

The maincontents of this thesis include:Firstly,by using inherent relationship between region integral and curve integral,designing the image transform operator,a novel snake model using both boundary andregion information was proposed,which more directly integrated the prior knowledgeincluding region information with the traditional deformable model,so that the abilityabout evolving contour curve was improved.

本论文将以严密的数学理论、可靠的物理原理和实际的应用背景为出发点，研究这一图像处理和分析的基本问题，并相应开展了以下几个方面的工作：首先，本论文利用区域积分与曲线积分之间转化的内在联系，通过设计相应的图像变换算子，提出了一种基于边缘与区域信息的图像可变形轮廓提取模型。

Rough set theory emerges as a powerful tool for dealing with the vagueness and uncertainty of facts,which has been widely applied in many fields such as artificial intelligence and data mining.

粗糙集理论是一种处理模糊和不确定性知识的数学工具，在人工智能及数据挖掘等众多领域已经得到了广泛的应用。

On the basis of the lumped physical-mathematical model of interior ballistics given in reference 1,this paper gives a detailed discussion about the conditions leading to the formation of pressure plateau in the combustion chamber of a RLPG,and derives the analytical relationship between the jet area and other parameters under which the pressure plateau can be formed.

在文献1建立的RLPG集总参数内弹道学数学物理模型的基础上，对RLPG压力平台产生的条件进行了详细的探讨，推导了满足压力平台的喷孔面积与膛内其它参量之间的解析关系式，编制了计算程序，处理了计算过程中所产生的压力振荡问题，获得了工程设计中实用的产生压力平台的中心杆半径与其行程的变化关系曲线。

A mathematical model among the investment,cost and income and internal rate of return was established.

在分析高含硫气田开发经济评价特点的基础上，运用技术经济的基本原理，在估算开发投资、成本、收入的基础上，建立了高含硫气田经济评价模型，通过实例计算出不同投资、成本、价格下的内部收益率，并运用SPSS软件对数据进行一元和多元回归处理，得到投资、成本、价格与内部收益率之间的数学模型。

Pair approximation and moment methods have the advantages of overcoming analytical intractability of computer simulation and building a spatially stochastic model.

其优点是可以系统地进行数学分析处理，克服了空间模拟耗时和随机性带来的缺陷。

In this paper, the problem of simultaneous inversion for earthquake location and velocity structure is discussed, and the difficultes encountered in the inversion are discussed.

本文讨论并处理了震源位置和速度结构联合反演中的问题和困难。正交投影算子的引入不仅使这一问题的数学描述简洁，物理解释清楚，而且参数分离之后，与震源有关的方程组是相容的。

Firstly,isoperimetric algorithm is applied in still image segmentation,and the result is compared with two methods based on edge detection and region detection.Then,isoperimetric algorithm is used to segment image video by combined with operation of morphology.

首先利用等周算法对静止图像进行分割，并与边缘检测和区域检测的两种分割方法进行结果比较；接着利用等周算法并结合数学形态学处理对图像序列的分割进行了研究。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。