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Based on the theory, the differential geometry of statistical model proposed by Amari is generalized from probability space to Sugeno measure space, and a new notion of fuzzy manifold based on Sugeno measure is proposed, including the fundamental differential-geometrical structures of statistical models, the tangent space, and the Riemannian metric in a fuzzy manifold.

第四章介绍了Sugeno测度空间上随机变量的数字特征，在此基础上将学者Amari提出的统计流形从概率测度空间推广到Sugeno测度空间，提出了一种基于Sugeno测度的模糊流形分析方法，包括Sugeno模糊模型的基本微分几何结构，模糊流形中的切空间、黎曼度量。

The types of Subei basin, the structural features of main abundant hydrocarbons depressions, the features and genetic mechanisms of structural trap assemblages and the characters of oil-gas distribution are chiefly studied in this work with applying comparative structural geology, analytic structural geology and Earth dynamics, the control of the structure on oil-gas is generalized, and then the exploration targets were found based on these analysis.

综合运用比较构造学、解析构造学和地球动力学等方法，重点研究了苏北盆地成因类型、主要富烃凹陷构造特征、构造圈闭组合特征和成因、油气分布特征，总结了构造对油气分布的控制作用，在此基础上寻找有利的勘探方向。

In the fifth chapter, we use the the methods of function theoryestablised a class of analytic reproducing kernel space, we call it a generalized Arveson space.

在第五章中，我们利用函数论的方法建立了更广泛的一类解析的再生核空间，称之为广义Arveson空间，讨论了它的一些关系，并得到了一些有趣的结果。

In chapter 5 the analytical theory and method in generalized energy saving are put forward.

第五章提出了广义节能分析的理论和方法。

This paper attempts to present a comprehensive or generalized account of reference phenomenon, compare anaphoric and cataphoric reference in English and Chinese, get its similarities and differences and at last guide translation activity.

本文正是基于这种情况下，试图对英语和汉语中的指代现象进行比较全面的考虑，得出其相同之处和不同之处，最后用以指导翻译活动。

Characteristics of a number of gates from the set of all generalized Toffoli gates are studied. Any permutation S is proved to be generated by a n-cycle δ and a permutation τ=i(subscript j, i together. It shows that any neighboring 2-cycle permutation can be generated by at most two NOT gates without ancilla bit.

本文研究了生成Toffoli门集合的可逆逻辑门数的特点，证明了任意置换S可以由n-轮换δ和一个置换τ=i(下标 j，i生成，同时证明了相邻2-轮换可由至多两个NOT门在不增加额外信息位的情况下生成。

Here, rather than the remote entanglement we use the local entanglement, which canbe prepared in an easier way than the remote entanglement, to enhance the remoteentanglement; Based on generalized measurement, a general method for theconcentration of a known non-maximally entangled state for arbitrary dimensionalsystem is proposed only by introducing a qubit ancilla, which will greatly simplifythe total concentration process.

这里我们只需要利用局域纠缠而非远程纠缠便可提高远程纠缠；对于任意维系统己知非最大纠缠态的浓缩，可以仅仅通过引入一个二能级系统作为辅助来实现。

Diffuse petechiae and rice-sized to pea-sized purpuric papules appared on the trunk since then and gradually became generalized. Skin biopsy revealed angiokeratoma.

病人从幼儿期起即出现粗糙脸部特徵，同时从躯干发生逐渐增加的弥漫性紫斑与红色小丘疹，切片结果为血管角质瘤。

In fact, sometimes knowing without understanding is no better, if not worse, than not knowing at all, because it provides such a narrow angle of observation which could potentially lead to a distorted, generalized conclusion.

事实上，有时缺之理解的知晓并不比不知晓好多少，也许还会更糟。因为那会使观察角度变得狭窄和片面，从而得到一些扭曲而又笼统的结论。

Our difficulties are overcome in this paper by using the method of generalized normal sectors, provided by [Nonlinearity 17(2004): 1407-1426], which allows curves and orbits to be part of its boundary, may not be an angular neighborhood of the characteristic direction.

通过利用文献[Nonlinearity 17(2004)，1407-1426]中提出的广义正常区域方法，我们的困难得以克服，其中允许曲线或者系统轨道为广义正常区域的边界，而且该区域也不一定是要研究的特殊方向的角形邻域。

I was just taking her hand, to help her out of a car, and I knew it.

我只是握着她的手，扶她下车，但我知道这一切。

China and South Korea have excoriated Japan over its approval of new school books which they say whitewash the atrocities committed during Japanese occupation, and anti-Japanese protests have been held in Chinese cities. The lingering bitterness over Japan's past imperialism still threatens to mar relations between the big East Asian powers

中国和韩国强烈谴责日本通过新的中学历史教科书，他们认为这一教科书掩盖了日本在其占领期间所犯下的残酷暴行，反日抗议活动在中国数座城市发生，历史上日本帝国主义制造的痛楚无法被忘却，这有可能破坏东亚强国间的关系。