综合几何

For an arbitrary system of steady-flow and constant volume reactors, the concept of theattainable region is extended by the consideration of the recycle material from separation.

本文从化工过程系统综合优化的角度出发，以定态、等容反应过程为研究对象，在可得区内考虑分离回收的循环物流，通过几何方法分析总收率等值线与可得区的关系，导出了通用的反应-分离循环系统的最佳工艺条件方程。

The order analysis method was used,through a comprehensive comparison of complex determination coefficient and residual sum of squares,the optim...

采用逐阶分析方法，通过综合比较回归分析中的复测定系数、残差平方和等方法来确定最优的多项式的阶数，提高了几何误差模型的精确性和鲁棒性，从而使数控机床误差实时补偿更有效。

As a result, considering all kinds of methods of error compensation, a kind of calibration model of graphic distortion is established based on geometrical correction arithmetic of plane coordinate transformation.

综合各种误差补偿办法，建立了一个基于平面坐标变换几何校正算法原理的图形畸变校正模型。

How to solving comprehensive problems in descriptive geometry is always a difficult teaching point, because good abilities of graphic thinking and space logical thinking are required for the students.

画法几何综合问题是教学的难点，要求学生具有较强的空间想象能力和空间逻辑思维能力。

Trigonometrical function most value solution mainly fromthe trigonometrical function domain of definition, the valueterritory, monotonous, the image and the triangle 恒等 distortionembarks, and the comprehensive utilization function, the inequality,the equation, several what kind multitudinous knowledge sides canobtain.

三角函数最值的求解主要从三角函数的定义域、值域、单调性、图象和三角恒等变形出发，并且综合利用函数、不等式、方程、几何等众多知识方能求得。

The main results are as follows:We review the existing Monte Carlo control variates estimators of the price of Asian options and propose a new one. According to pratical needs, we define efficiency as the inverse of the product of the variance of an estimator and its computational time and make it a standard for comparisons to draw the following conclusions: Firstly, the more control variates correlate with arithmetic average Asian options, the larger is the efficiency of an estimator with these control variates, but among which the geometric average option plays the most important role; Secondly, an estimator with more control variates is better than one with less ones only when the time to maturity is long and the volatility is high.

在综合已有研究工作的基础上，本论文的主要创新成果如下：（1）我们回顾了已有的亚洲期权价格的蒙特卡罗控制变量估计，并提出了一个新的控制变量估计，且从客观实际出发，将估计值的方差和计算时间的乘积的倒数定义为效率并以它为标准比较各估计，得到以下结论：与算术平均亚洲期权相关程度越大的控制变量构成的估计的效率越大，而其中起主要作用的控制变量为几何平均亚洲期权的价格；只有在到期时间较长且标的资产的波动率较大时，元素多的多元控制变量估计比元素少的效率大。

In order to overcome the technological difficulties encountered in the course of insulation fault diagnosis on the base of dissolved gases analysis, several kinds of mathematic models and actualized methods are brought forward to improve the reliability and veracity of fault diagnosis of transformers. The research works are shown mainly as followings:1 A modified fuzzy multi-criteria method is brought forward for insulation fault diagnosis of transformer. Furthermore, a new method for insulation fault diagnosis is proposed on the base of fuzzy multi-criteria together with rule reasoning. With fuzzy diagnosis in the method, fault reasons are filtrated and then the reasons in low probability are prohibited, Moreover, the left reasons are testified by using rule reasoning and then final concludes are drawn in much less misjudge probability and better results.2 On the base of geometry characteristics of C- partition to sample set of DGA data of transformer, a method is put forward to compute effective radius of neighbor field of a sample, number of clusters and values of initial centers. Moreover, the fuzzy C- means cluster model with adaptive weight is brought forward in the first time and then the fault classifier is designed for insulation fault diagnosis of transformer.3 According to the weakness of the degree of gray of gray incidence, a new formula to compute DGI is put forward and then incidence order criterion is ascertained. Moreover, a new DGI model for fault diagnosis is proposed according to the further analysis to relationship between fault reason and content of oil dissolved gases of transformer.

为解决在应用油中溶解气体分析方法（Dissolved Gases Analysis，简称DGA）诊断变压器内部绝缘故障时所遇到的主要技术难题，论文提出了用于提高变压器故障诊断准确性和可靠性的数学模型及实现方法，主要研究工作如下：1）提出了一种改进的变压器绝缘故障诊断模糊综合评判方法；进一步提出了将模糊综合诊断与规则推理相结合进行绝缘故障诊断的方法，该方法采用模糊推理对故障原因进行"过滤"，滤掉可能性极小的原因，然后进一步利用规则推理验证剩下的可能原因，得出最终结论，大大减少了误判比率，获得了较好的效果。2）根据以变压器DGA数据为特征量的样本空间的c-划分几何特性出发，提出了一种求取样本有效邻域半径和聚类数及聚类中心初值的方法，在此基础上，首次提出了一种自适应加权的变压器绝缘故障诊断的模糊c-均值聚类模型，并设计出故障分类器。3）针对常用灰色关联度的不足，提出了一新的灰色关联度计算公式及确定关联序的准则；并在此基础上，通过深入分析变压器发生绝缘故障时的原因与油中溶解特征气体含量的关系，建立了一种新的故障诊断灰色关联模型；通过实例分析证明，该方法能有效地诊断出变压器绝缘故障及故障部位，大大提高了诊断的准确性。

But the better synthesized ability of the reducing vibration and noise, bending resistance of the different stiffener section forms is the key problem concerned for by engineers.

由于筋的几何形状种类繁多，究竟那一种几何形状的筋抗振、降噪和弯曲应力等综合指标最好是工程技术人员所关心的问题。

Secondly, the author has set up the Factor Set, Factor Weight Set, Evaluation Set and Evaluation Matrix based on the Fuzzy Mathematics, therefore the quantification of expert's experiences is solved. Following the example of product design procedure consisting of designing, collating and checking, the Two-stage Fuzzy Synthetic Evaluation has been established in order to supply the evaluating method of design quality for drawing die-face. After two times of eligible analysis above, the synthetic optimizing design of geometry, material and process can be done with simulation.

以模糊数学为基础，通过确定影响覆盖件拉延模型面设计的因素集、因素权重集、备择集和评判矩阵，解决了专家设计经验知识的量化问题，并建立二级模糊综合评判方法，据此设计、校对、审核等技术人员可以共同对拉延模型面设计质量进行优劣评判和修改；在前面二次分析合格的基础上，利用有限元仿真技术进行几何、材料、工艺多因素综合的优化设计。

Compared with the research of the geometric nonlinear finite element method home and aboard in the components such as bar, plate, beam and shell element, the present problems is analyzed and the future research direction is described for the theoretical research and program design of geometric nonlinear finite element method.

综合比较了几何非线性有限元法在杆、梁、板、壳等方面的国内外研究成果，指出目前仍存在的问题，提出今后的发展方向，为几何非线性有限元的理论研究与程序设计提供参考。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失