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This paper mainly studied the semilinear biharmonic elliptic equation with multi-singularity and critical exponcnt,in which we mainly studied,where N≥5,k∈N,(λ_1,λ_2,…,λ_k)∈R~4,(a_1,a_2,"",a_k)∈R~(4n) and 2~*=2N/N-4 is the critical Sobolev exponent.

文章主要在有界域Ω中研究了如下含多奇性的半线形椭圆型问题其中N≥5,k∈N,(λ_1,λ_1,…,λ_k)∈R~k,(a_1,a_2,…,a_k)∈R~且2~*=2N/N-4是临界的嵌入指数,由于Sobolev嵌入失去紧性,所以文章将通过集中紧原理得到正解的存在性。

In a hole in the center of this system is placed a subcritical sphere of fissionable material.

在这个系统的中心圆洞中放置一枚次临界的球形可裂变物质。

The assumption of unity Lewis number in the flamelet model of turbulent combustion is examined and the influence of differential diffusion and radiation on the flamelet structure, nitric oxide emission and extinction limit is investigated.

对拉伸层流扩散火焰面进行了数值模拟,考察了在以往湍流燃烧的火焰面模型中,假定Lewis数等于1的可靠性,研究了不同分子扩散和火焰辐射对火焰面结构、氮氧化物排放和熄火临界的影响。

Finally, it is not critical to get results back from searches.

最终,它将从查寻过程中得到非临界的结果。

This can explain why no residual linear term of thermal conductivity was observed in this region, which was regarded as an evidence for the breakdown of the Wiedemann-Franz law.

研究发现,存在一个临界的费米子的味数,只有物理味数小于该临界值时,才能发生手征对称破缺。

The result is often a well-kept log that is missing critical information.

结果就是常常保存的很好的日志,总是少了很多临界的信息。

It is found thatthe fractal dimension D=1.25 corresponds to the lowest criticalcoupling constant αc=1.9,D=1.73 corresponds to the highest criticalratio of dielectric constants ηc=0.163,and when D≤1.145 bipolaronscan not exist at any rate.In chap,4,we will propose a novelapproach to the calculation of the exciton ground-state energy for thestrong-coupling case.Different from all previous methods,the wavefunction of the phonon part is assumed to take a form related to thewave function of the relative motion.We obtain the exciton energy bysolving the derived integrodifferential equation rather than select ahydrogen-like form to minimize the energy expectation.

结果发现,分数维的维数D=1.25对应最小的临界的电-声耦合常数(αo=1.9),D=1.73对应最大的临界的介电常数比(ηc=0.163),当分数维的维数D≤1.145时,双极化子无论如何也不可能存在,在第四章中,我们将提出一种新颖的变分方法来计算强耦合的激子-声子系统的基态能,不同于以前所有的方法,我们取声子的波函数与相对运动波函数有关的形式,而不是假定一个固定的关于相对运动坐标r的函数形式,得到相对运动波函数所满足的非线性的微分积分方程,我们数值求解这个微分积分方程得到系统基态能,而不是选择一个类氢原子的波函数变分使得能量的期待值最小。

Its use is usual ly restricted to preliminary work in which products will be held for additional separation at a later time, when most of the volatile component must be removed from the hatch before it is processed further, or for similar noncritical separations.

它的使用项目前期工作提供限制的产品将在为另外的分离晚些时候,当大部分的挥发性成分除去孵化之前进一步处理或类似非临界的分离。

Datagrams are useful for noncritical data transfers.

对非临界的数据传输来说,数据报非常有用。

Once they reach the critical masses that catalyst the ferment, the city will become a self-unfolding system that ultimately reinvents itself as an uninterrupted hyper-dense artificial landscape, capable of accommodating all manners of life.

一旦它们超越了临界的数量后,将成为能够自我展开的系统。整个城市终将演变成一个能够承载一切生活所需的,连续不断的,超高密度的人造景观。

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Graf, without question, is the greatest women's player in history.

格拉芙,现在,毫无疑问是女子网坛历史上最伟大的选手。

If not, you will have to look around at all your important data.

如果没有,您将需要检查所有的重要数据。

Development. The production of high-grade glass and sanitary ware equipment professional enterprise.

开发。生产高档玻璃洁具及卫浴成套设备的专业企业。