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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。

An integral operator I(subscript n+p) defined by Hadamard product is introduced. Making use of this operator, the subclass S(superscript * subscript n+p) of p(superscript -) valent analytic function is defined in the open unit disk, the inclusion relation of S(superscript * subscript n+p+1)S(superscript * subscript n+p) and the best dominant function of differential subordination q1 are obtained. Furthermore, some conclusions are made according to the special parameters A and B.

用Hadamard卷积定义线性算子I，并利用算子I定义在单位圆内的解析的p叶函数类S(上标*下标 n+p)，给出了此函数类的包含关系S(上标*下标 n+p+1)S和微分从属的最佳控制函数q1，并根据参数A，B取不同的特殊值得出了相应的推论。

To compensate for the incomplete projection data, polynomial interpolation method is proposed to deduce more projection data from the available ones. Furthermore ,with the Chapman model assumption of electron density distribution, a method to expand the view angle and evalute the projection data under low elevation angle is presented.

本文提出了用多项式插值的方法增加接收站观测数据，并根据对电离层垂直方向Chapman模型的假设，提出了扩展投影角度的方法，以估算观测中无法得到的低仰角投影数据。

Furthermore, the influence of Godel's incompleteness theorem has far exceeded the category of mathematics, and fundamentally altered our idea of "truth" and of the world. Hence, without getting to know Godel we can't understand the intelligence level achieved by mankind and the journey of mankind's striving for intelligence progress, neither can we apprehend the profound changes of thought that have taken place or are taking place in this world.

而且哥德尔定理产生的影响已远远超出数学的范围，他从根本上改变了我们对"真理"的认识和对世界的认识，不了解哥德尔就不了解人类已达到的智力水平与人类智力奋斗的历程，也就无法了解我们这个世界在思想观念上已经发生或正在发生的深刻变化。

Furthermore, the business amount of distribution based on electronic commerce will increase gradually in city, if still organize delivery by continue to use prevenient logistics method, there will appear a series of problems, such as service quality declines, cannot meet the requirements of clients, hard to control logistics cost due to a large amount of inconsequence delivery, unreasonable vehicle routing and scheduling will make the working time and route line of delivery vehicles increase, thus lead to the increase of traffic burden in city.

而城市中基于电子商务的物流配送业务量将逐渐增加，如果仍沿用以前的物流方法来组织配送，会产生一系列的问题，如服务质量下降，不能满足客户的要求；大量不合理的配送调度的出现会使物流成本难于控制；车辆调度的不合理会使物流配送车辆的出行次数增加、路线增长，从而导致城市交通负担的增加。

Results These two patients were confirmed to suffer from DMD. They were characterized by typical features of DMD including typical clinical manifestations, increased serum enzymes, EMG presenting myogenic impairment, HE staining presentation belonging to DMD, negative dystrophin in brother, and inconstantly positive on the sarcolemma of sister. Furthermore, no deletion or duplication was found in the 1-79 exons of dystrophin gene. The suffering brother and sister carried the same maternal X chromosome.

结果 兄妹二人符合DMD诊断，具有典型的DMD临床表现，肌酸激酶、肌酸激酶同工酶、乳酸脱氢酶、羟丁酸脱氢酶和谷草转氨酶的水平均显著高于正常值，肌电图呈肌源性损害，肌肉HE染色符合DMD，男患者的抗肌萎缩蛋白表达阴性，女患者的少量肌纤维仍可见不连续膜阳性，两患者抗肌萎缩蛋白基因的1~79号外显子未见缺失和重复突变，女患者与男患者携带相同的母源性X染色体。

The effect of parameters such as the wedge angle, the incident wavefrequency and the angle of incidence is also analyzed. Furthermore, theaccuracies of the numerical results are checked by the convergence of theground surface displacement and residual errors of boundary conditionswith the increasing progression term.

本文定性分析了地形角度、入射角度和入射频率等因素的影响，并从级数项数增加时地表位移结果的收敛以及边界条件残量的收敛两个方面验证了结果的正确性。

Furthermore, the independent set is used to avoid local excess simplification.

此外，通过建立独立集，避免了模型的局部过度简化。

Furthermore, Legal indeterminacy is not necessarily a deficit in the rule of law.

此外，法律的不确定性并不必然构成法治的缺陷。

Furthermore, FGF-1 administration resulted in expression of inducible nitric oxide synthase in the area at risk.

此外， FGF-1管理导致了可导致的氮的氧化物synthase的表情在在风险的区域。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。