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The notion of the adjoint operator of amodule homomorph ism defined on a densely submodule of a comp lete random inner p roduct module is introduced and discussed, in particular the closedness of adjoint operators is p roved.

摘 要 对定义在完备随机内积模的稠子模上的模同态引入了共轭算子的概念并讨论其基本性质,尤其证明了共轭算子的闭性。

On the basis of a systematic collection and analysis of historical materials,the disserta-tion probes into the early appearance of a new mode of commercial legislative thinking in Chi-nese feudal society,the establishment of legal framework by western powers to serve fortheir economic invasion,the legal crisis in the development of Chinese national bourgeoise,the evolution of the commercial legislative thinking of Chinese national bourgeoisie,thecause,process and majar content of establishing commercial legislation by the Qing Dynasty,the Northern warlord and the ruling clique of Kuomingdang,as well as the ideological reasonwhy the Chinese commercial legislation between 1840 and 1930 failed to provide a effectivelegal framework for the modernization of Chinese economy.

本文在系统收集和整理史料的基础上,对中国封建社会内部出现的新型商事立法思想的萌芽,西方列强在华建立服务于其经济侵略的法律框架的活动,民族资产阶级在发展中所遇到的法律危机,民族资产阶级商事立法思想的发展过程(特别是其在清末、民初的发展),清政府、北洋军阀和国民党统治集团制定商法的原因、过程、主要内容,中国1840—1949年间商事立法不能为中国经济现代化提供完备、成熟、有效的制度基础的思想方面的原因等问题进行了尝试性的探索。

By using generalized-weak commutativity mapping, the existence of common fixed point for this class of contractive type mappings is studied in complete metric space, a common fixed point theorem for contractive type mappings is obtained, which largely improve and extend the corresponding results in some references.

通过使用映象的广义弱交换条件,在完备度量空间中研究了更为广泛的一类压缩型映象的公共不动点的存在性,给出了一个新的公共不动点定理,从而在很大程度上改进和推广了现有文献中的一些结果。

In Chapter 4, we define the induction of divisors and prove the existence of Galgebras of complete induction; through the analysis of Mackey formula, we give an equivalent characterization of the relationship between Green correspondence and free projectivity.

在第四章中,我们定义了除子的诱导,证明了完备诱导的G-代数的存在性;通过分析Mackey公式,给出了Green对应和自由投射关系的等价刻画。

Khasminskii ([19]) studied the ergodic properties of recurrent diffusion processes on aσ-compact complete metric space.

Khasminskii([19])研究了σ-紧完备距离空间上常返扩散过程的遍历性。

Does research in a common fixed point theorem of fuzzy mapping s in inequality conditions and the cut set is the nonempty closed bounded subsets of,while is complete metric space.

2,研究了在完备度量空间中一对模糊映象满足一些特定不等式条件,以及当其截集是中非空有界闭集时,该对模糊映象的公共不动点的存在性问题。

Bring forward a kind of learning algorithm fitting on the base of spline function, because the spline function has good flexibility and quadratic smoothing property, the search problem of network weight functions training can be converted into the resoluting extreme value problem of the plurality function through using spline function to represent network input and link weight functions, thus the PNN can be trained with the help of the existing neural network learning algorithms;④build a kind of learning algorithm base on the alternate of Walsh function, the complexity of network computing can be decreased through using the complete orthogonality of Walsh function corollary.

应用结果表明该算法收敛速度快,稳定性好;③提出了一种基于样条函数拟和的学习算法,由于样条函数具有很好的柔韧性和二次光滑性,将网络输入函数和连接权函数用样条函数的形式表示,可把网络权函数训练的函数寻优问题转换为多元函数求极值的问题,从而可借助于现有的神经网络学习算法训练过程神经元网络;④建立了一种基于Walsh函数变换的学习算法,利用Walsh函数系的完备正交性,可大大降低网络计算的复杂度。

We investigate strong wellposedness and solvability of higher order ab-stract Cauchy proublems in a sequentially complete locally convex space,estab-lishing a Hille-Yosida-Phillips type characterization theoremand obtaining a solvability result.

研究序列完备局部凸空间中高阶抽象Cauchy问题的强适定性与可解性。关于强适定性建立了一个Hille-yosida-phillips型特征刻划定理,并获得一个可解性结果。

Bnormal MRI manifestations in all of the 20 cases with acquired hepatocerebral degeneration,in which T1WI demonstrated increased signal in hibateral lentiform nucleus (n=20),globus pallidus(n=17),surrounding mesencephalon red nucleus(n=15),and in anterior pituitary(n=4)While T2WI demonstrated no corresponding alteration in signal intensityConclusion Abnormal MR signal in the patients with acquired hepatocerebral degeneration has special features and MRI has right value for the diagnosis of this disease

全部病例均有完备的临床与MRI资料。结果:20例脑部均有阳性MRI表现,其中双侧、豆状核20例,苍白球17例,中脑红核周围15例,垂体前叶4例,表现为自旋回波序列T1WI为高信号,T2WI及FLAIR像无异常。结论:获得性肝性脑部变性的MRI征象具有特征性,MRI对该病的诊断有较高价值。

Subjectivity: Wang Yangming\'s main emphasis is that everone having the ability of self-realization; The features of processing: emphasize the the specific "li" linked to specific things rather than abstract one.this is another major feature of Wang\'s thought; The features of enlightenment: denial of the external "li",also rejected the outside of the supreme authority and the status of classic,established the status of the subjectivity; Extreme position of moral values: Wang completely put the concept of saint moralized, reflecting the extreme positiong of moral values;Strong voluntarism color: highlighted the main activities, the self-determination and the non-substantive of the subjectivity,giving the will an utmost importance status,there is a strong color voluntarism on Wang\'s thought.

主体性:以成圣之道为例,王阳明强调主体自身能够自我完备、自我实现;过程性:强调关系,强调在具体的情景、具体的关系中展开的理、与具体的事物联系在一起的理,而不是抽象的、不变的理,这是王阳明思想的又一大特色;启蒙性:否定了外在&理&,也否定了外在的权威和经典的无上地位,确立了主体的地位;道德价值本位立场:王阳明把圣人观念彻底道德化,体现出了道德价值立场。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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