核函数

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。

The fluctuation structures were observed in theexcitation function of all the outgoing channels.Statistics method based on thefluctuation correlation was used to study and analyze the excitation systematically,which demonstrates a series of characters in the dissipative collision 〓 and〓 by which they are different from the compound nuclei in the cross sectionfluctuation,such as strong correlation among outgoing channels,long range energycorrelation and angular correlation.

各个出射道的激发函数中都观测到了涨落结构，运用涨落关联的统计理论方法对激发函数进行了系统地研究和分析，揭示出〓和〓耗散反应截面涨落区别于复合核截面涨落的一系列特征性质，如强烈的出射道关联、长程的能量关联和长程的角度关联。

It is still needed to do some work to determine the deformation parameter β2 for light odd-odd nucleus, like 6Li and to calculate all reaction channels by means of CDCC code simultaneously. It is important to measure the exclusive angular distributions of breakup fragments.In theory, the coupling channel equations have been deduced from one-dimensional to multi-dimensional barrier tunneling. The couplings between the entrance channel and the other channels have appreciable effects on sub-barrier fusion cross section. Instead of single fusion barrier,these couplings lead to a distribution of fusion barrier Dfus.

描述了已有理论，从简单的一维势垒穿透模型出发，引入多维势垒穿透和耦合道模型，证明入射道相对运动与碰撞核各种自由度的耦合导致熔合势垒的劈裂，较低的势垒有利于垒下熔合截面增强；给出了从熔合激发函数抽取势垒分布及从背角准弹激发函数抽取势垒分布的理论依据，以及它们的优缺点。

NA samples ; the kernel estimation of density function ; empiricale Bayes test ; asymptotic optimality ; convergence rates

NA样本；密度函数的核估计；经验Bayes检验；渐近最优性；收敛速度

Iii By using the well-known properties of the dela vallee-poussin summability kernels and the pass principle of weakly compact operator, we study the weak compactness of C〓 on vector-valued analytic function spaces H〓, B〓, N and N〓, establish some connections between the weak compactness of composition operators and the structure properties of Banach spaces. These generalize and unify the corresponding results in the scalar-valued setting and enrich the content of the study of composition operator in another way.

第三，利用著名的de la Vallee-poussin可和核及有关算子的弱紧性的传递原理给出了向量值解析函数空间H〓、B〓、N及N〓上的复合算子的弱紧性的刻画，建立了复合算子的弱紧性与Banach空间的结构性质之间的联系，统一和推广了对应的数量值解析函数空间上的复合算子的弱紧性，这从另一种途径极大地丰富了复合算子的研究内容。

The ground state nuclear wave function of deuteron is expanded in terms of the tr...

氘核基态波函数用对应主量子数 0≤N≤ 1 0的平移不变壳模型基函数来展开。

By using the kernel-type density estimation in the case of identically distributed and negatively associated samples, the empirical Bayes test rules for the scale exponential family are constructed, and the asymptotically optimal property is obtained.

本文利用同分布负相协样本情形概率密度函数的核估计构造了刻度指数族参数的经验Bayes检验函数，并获得了它的渐近最优

This theorem states that the sum of the symmetric logic variables constitutes a level-0 kernel of the symmetric logic function.

该定理表明，对称逻辑函数的对称逻辑变量之和恰好构成了该逻辑函数的一个零级核。

The bending problem of simple-supported parallelogrammic plates on Winkler foundation is reduced to two simultaneous Fredholm integral equations of the second kind by applying Green quasifunction method. The Green quasifunction is set up by using the fundamental solution of Poisson equation and the normalized boundary equation.

应用准格林函数方法，即利用方程的基本解和规范化的边界方程构造一个准格林函数，将Winkler地基上简支平行四边形薄板的弯曲问题化为两个耦合的第二类Fredholm积分方程，此积分方程的核表示式在区域的边界上具有奇异性。

Can be treated comprehensively and self-consistently in this model, which offers a new way to study fusion reaction and to explore the mechanism of synthesis of superheavy elements hopefully.

ImQMD模型能够很好地再现一系列核的基态性质以及10多个熔合反应的激发函数（包括丰中子核熔合体系以及实验最新测量的132Sn+64Ni熔合体系）。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。