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The Hausdorff measure for the level sets of multi-parameter symmetric stable processes has been obtained and the inner connection of the measures and local times for it has been demonstrated, which describes the fractal nature for the level sets of this kind of processes. As we know, it is always one of the focuses in the field of random fractal. The reasult of the existence and continuity of the local time for multi-parameter stochastic processes with stable components has been got in the project. Then we gained the measure for the random fractal sets such as the range and graph of this kind of processes. Furthermore, a progress besides the mentioned above in the project is that we have resolved the multifractal analysis of the sample paths for Brownian sheet, that is the multifractal decomposition of white noise in high dimension.

解决了多指标对称稳定过程水平集的Hausdorff测度问题,同时给出N指标d维稳定过程水平集的Hausdorff测度下界的最佳估计,它们揭示了其水平集的测度与局部时之间的内在关系,刻划了多指标对称稳定过程水平集的分形特征,表明了研究此类问题的积极意义,该问题是随机分形研究领域的国内外学者所关注的热点问题之一;解决了多指标稳定分量过程的局部时存在性与连续性问题,进而解决了由多指标稳定分量过程产生的随机分形集--象集、图集的测度问题;此外,本研究项目还解决了布朗单样本轨道的重分形分析,即高维白噪音的重分形分析问题。

The compact minimal submanifold of a Locally symmetric and conformally flat Riemannian manifold are studied, and obtain the following intrinsic rigidity theorem.

研究了局部对称共形平坦黎曼流形的紧致极小子流形,即设M是局部对称共形平坦黎曼流形的n维紧致极小子流形,得到了这种子流形的若干内蕴刚性积分不等式,给出了流形全测地的限制条

Diffusive fluxes are roughly symmetric around the magnetic equator during equanoxes. But they are asymmetric during solstices, the winter hemisphere has smaller fluxes than the summer hemisphere does.

在分点,南北半球的扩散通量和扩散速度大致对称;而在至点,扩散通量存在着明显的南北半球不对称现象。

This book is about a theory of markedness and its application in describing and explaining various asymmetrical phenomena in Chinese grammar.

本书将"标记理论"运用于语法研究,对汉语语法中各种对称和不对称现象作出统一的描写和解释。

In this paper gravitational mass defect in static and spherically symmetric metric discussed by Ghose and Kumar is extended to the case of charged, static and spherically symmetric metric (Reissner-NordstrSm metric).

本文把Ghosc和Kumer在球对称、静态引力场(Schwarzchild度规)中讨论的引力质量亏损推广到荷电、静态、球对称场(Reissner-Nordstrm度规)中,并计算了亏损以后的质量M随初始质量M_0、荷质比α和半径r的各种变化曲线。

Finally, this dissertation discusses the application of this directing approach through the case study of the tender project for 2008 Beijing Olympic Park and the project for a small massif.

最后以2008年北京奥林匹克公园的竞标方案和一小型地块的规划设计方案为例,结合对称中的非对称形式的原则和方法,探讨了该设计引导方法的具体应用。

In this paper, a class of matrix equation AXB = C is discussed.

中文摘要:本文针对一类一般意义下的矩阵方程,即AXB=C,应用矩阵分块的技巧,并结合特定矩阵的结构特征,采用合适的分解方法,给出了它有双对称,双反对称解的充要条件以及在条件满足时的通解表达式,并给出了各自在不同情况下的最佳逼近解。

In really society,there are many examples of symmetric game ,therefore,it is of greater significace in theory and practice for studying the properties of symmetric game and getting the solution of common matrix game from special ones to general ones.

在现实世界中,有许多对称对策的实例,因此,研究对称对策的性质,再由特殊到一般得到一般矩阵对策的解法,有着较大的理论和实际意义。

In view of the instability and the high failure rate of practical supply chain alliance companionate symbiosis,the paper establishes a proceeds matrix model of its static game,and uses evolution games to analyze its formation and evolution under symmetric and asymmetric.

针对现实中供应链联盟伙伴合作关系的不稳定性和失败率高的问题,建立了伙伴企业合作静态博弈的得益矩阵模型,并利用进化博弈理论研究了对称和非对称两种情况下供应链联盟伙伴合作关系的形成及进化演变。

In the second chapter, we study a pinching theorem for submanifolds of locally symmetric space with parallel mean curvature .

第二章节是关于局部对称空间中具有平行平均曲率向量子流形的pinching定理,设M是局部对称空间N~中一个紧致子流形。

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推荐网络例句

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气,收缩臀部肌肉;拱起身体,尽量抬起头来,右腿伸直朝向天花板(膝微屈,以避免肌肉紧张)。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化,但却比去年同期高8%。

However, to get a true quote, you will need to provide detailed personal and financial information.

然而,要让一个真正的引用,你需要提供详细的个人和财务信息。