解析的

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。

Traditional ways of characteristic extraction often choose a certain number of the best character by intuition, physical meaning of characteristic root or predecessor's experience .

传统的特征选取方法，很多情况下都是凭直觉、特征值的物理意义或前人的经验来选出若干最好的特征，而本文采用解析的方法来指(来源：A2c1cBc1C论文网www.abclunwen.com)导特征的选取，更具有说服力。

The propagation of cosh Gaussian beams through a first order paraxial optical system with rectanglar hard aperture is studied. By using the expansion of the rectangle function into a finite sum of complex Gaussian functions a closed form propagation equation of cosh Gaussian beams is derived.

对双曲余弦高斯光束通过有硬边光阑的一阶ABCD光学系统的传输进行了研究，采用将矩形域函数表示为复高斯函数叠加的技巧，推导出了解析的传输公式，在特殊情况下，该公式简化为在无光阑情况下的传输公式。

A combinatorial identity is obtained:=:~z 2r扟32-rn-iJ As main result of this paper, in section two, the convolution梩ype identities emerge from our discussion about Lagrange formula whom in author 憇 view can be taken as the inherent characteristic of Lagrange formula but have been ignored fOi so long time.

第一章对拉格朗日反演在Riordan群理论中的应用进行了介绍，证明了一个组合等式：第二章通过对拉格朗日反演定理本身的分析，得到一个对任意的形式幂级数都适用的三个拟卷积公式，这些公式体现了任意能在零点解析的函数的内在性质。

In condensed matter physics,we present an analyticaltopological current theory of point defects which unifies the topologicalquantization,homotopic classification and evolution of defects in oneframework.The number of possible branch lines is shown to be 2s once atmost at the bifurcation point of order parameter with degeneracy s and thetopological charge is conserved during bifurcation processes.

论文在凝聚态物理中给出了缺陷解析的拓扑流理论，将缺陷的拓扑量子化，同伦分类和演化统一在一个框架之内，并证明了在序参量退化度为s的分岔点，缺陷分岔数目最多为2的s次方，而且在分岔过程中拓扑荷是守恒的。

An integral operator I(subscript n+p) defined by Hadamard product is introduced. Making use of this operator, the subclass S(superscript * subscript n+p) of p(superscript -) valent analytic function is defined in the open unit disk, the inclusion relation of S(superscript * subscript n+p+1)S(superscript * subscript n+p) and the best dominant function of differential subordination q1 are obtained. Furthermore, some conclusions are made according to the special parameters A and B.

用Hadamard卷积定义线性算子I，并利用算子I定义在单位圆内的解析的p叶函数类S(上标*下标 n+p)，给出了此函数类的包含关系S(上标*下标 n+p+1)S和微分从属的最佳控制函数q1，并根据参数A，B取不同的特殊值得出了相应的推论。

Numerical results of this method show good agreement with the analytical solutions of the polarizability of conducting or dielectric sphere and torus.

在导体和电介质的球与导体和电介质的环中，这个方法所求得的数值之结果与解析的解呈现高度的一致性。

In order to investigate the public principle of Greek Polis Democracy Practice, historical analysis and document analysis are used.

为了考察希腊城邦民主实践的公共性原则，采取历史分析和文献解析的方法，通过对其中透现的公共性原则的研究，明确了希腊城邦民主实践的奋共性原则及其对公共管理的现实意义。

The comparison with the previously determined homologous complex from Escherichia coli reveals structural divergence in the surroundings of the prosthetic groups and in the membrane embedded domain, especially in respect to the proposed ubiquinone binding sites.

通过与之前解析的源于大肠杆菌的同源结构比较，本研究揭示了复合物内电子传递体周围结构环境的差别，特别是关于推测的醌结合位点的差别。

Reaching infinitesimals , mathematics, the most exact of the sciences, leaves the process of analysis and enters on a new process of approximating to summing up the unknown infinitesimals .

数学这门最精密的科学获得无限小数的时候，便放弃解析的过程，开始总和未知的无限小数的新过程。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失