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In the first chapter, we study a sufficent condition for a operator is compact on Bergman space of the unit ball.

本文在第一章中就复超球上Bergman空间上的算子为紧的充分条件进行了研究,在附加了一定的条件,给出了算子为紧的充分条件。

Being based on the acknowledgement of continuum medium hypothesis, it has made an analysis of some general movements of macro material, which points out that there are a series non-consistence problems in logic in the Cauchy's stress theory and Stokes's stress hypothesis, etc.

除了指出 Cauchy 的两个应力定理, Stokes 应力假设等存在的逻辑不自洽问题,并产生的原因进行了系统分析以外,演绎地构造了连续介质物质模型严格假设下的完整形式表述体系,并且演绎地导得这个演绎体系必然导致三维物质流形,在三维 Euclid 空间中恒为超定。

We also construct an algorithm for minimizing its Moreau-Yosida regularization, because this is a smooth convex optimization problem.

极小化一个凸函数可以采用在UV-空间分解理论基础上提出的概念型超线性收敛算法,也可以采用极小化这一凸函数的Moreau-Yosida正则化函数的算法,因为这是一个凸规划的光滑最优化问题。

Firstly, the pulse source of middle- and far-range is deeply studied. The influential factors on the stability index of a pulse source are minutely analyzed, and full-solid and high-stability pulse source units, based on avalanche dynatron, are designed.

通过电路合成和空间合成两种方式进行脉冲源单元的功率和重复频率的相干合成,研制出高功率、高重频脉冲源,为实现超宽带冲激雷达的中远程目标探测提供了前提条件。

A class of elliptic problems in Orlicz-Sobolev space with Neumann boundary conditions are studied. The sublinear case and the superlinear case are discussed, and using the classical critical point theory with the Cerami compactness condition two existence theorems are given.

研究一类在Orlicz-Sobolev空间上具有Neumann边界条件的椭圆问题,分别讨论了次线性和超线性情形,利用满足Cerami紧性条件的经典临界点理论给出两个解的存在性定理。

For Ar clusters higher the background pressure is, stronger is soft x ray line emission and more intense is the continuum soft x ray emission.

并发现:团簇产生的超热电子呈现近似均匀的空间分布特性;在增加背压时,氩团簇产生的软X光的连续谱增强且谱线更为丰富。

As for the existence of positive solutions, the cone theory and the fixed point index of condensing mapping are employed, and the results of the existence of positive solutions are obtained in the case of superlinear and sublinear. The conclusions extend and improve the existence theorem which Lou Ben-dong extablished in 1996 about the question of Sturm-Liouville of Banach spaces.

三、对于正解存在性问题,我们应用凝聚映射的不动点指数理论,分别在超线性与次线性情形下进行讨论,获得了一些正解存在的结果,主要结果推广和改进了1996年Lou Ben-dong对Banach空间Sturm-Liouville问题所建立的存在性定理。

Satellite gravity gradiometry is a new domain of studying the detection of gravity gradients in space and their applications, in particular, suitable for detecting the short wavelength characteristics of the earth's gravity field At present it is still at the stage of developing the ultra-sensitive tensor gradiometer and carrying out the pre-research of applications.

卫星重力梯度测量是研究空间重力梯度探测与应用的新领域,特别适于检测地球重力场的短波特征。目前它尚处在研制超灵敏张量梯度仪器和应用预研究的阶段。

According to the contrasts between the structure of PANI and that of POT, the conclusion could be made that steric hinderance effect of methyl groups in the poly-O-methylaniline is more prominent than induction effect and hyperconjugation.

比较聚苯胺和聚邻甲苯胺的结构可知,甲基取代苯环中的一个氢原子后,甲基对聚邻甲苯胺的空间位阻效应明显大于诱导效应和超共轭效应。

In this paper, it is extended to image 3D modeling which tries to find the smallest hypersphere enclosing target data in high dimensional space by kernel function.

本文通过在高维空间中寻找包围目标数据的最紧的超球,将球型支持向量机扩展到图像3D建模的应用中。

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