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Moreover, the quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using Bessel equation, Bessel function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零,半无限一维空间内第一类边界条件和第二类边界条件下,利用Bessel方程、Bessel函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

Firstly, we discuss the boundary value problem of one dimensional biharmonic equation in an interval and its variational problem,multiresolution analysis in the Sobolev space , then solve it with wavelet-Galerkin methods.

首先本文讨论了一维双调和方程边值问题及其相应的变分问题,定义Sobolev空间的多分辨分析,用小波–伽辽金方法进行数值求解,两组基下得到的系数矩阵为七对角阵和块状对角阵。

Le Cordon Bleu is not one- dimensional in our mission.

封销线青斑厨师不是一维的在我们的使命。

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式,系以一维波动方程模拟地盘液化状态下之桩基础动力反应,依据现场土层钻探资料与邻近测站之地震纪录,由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数,以此系数对土壤强度模数进行折减,并使用集中质块法求取自由场之地盘液化反应,再以此为前置解作用於桩基础之波动方程求解,桩身刚度以简化之Bouc-Wen模式模拟其非线性行为,以了解液化地盘内基桩之变形行为与破坏机制。

Based on one-dimensional Method of Characteristics, a numerical model of pressure-wave progation if presented in this paper. A special code is programmed to analyze and calculate waterhammer resulted from rapid opening or closing of valve in the experimental sodium loop of Fast Breeder Reactor.

本文利用一维特征线法,建立了压力波传播的数学模型,并编制了专用程序,利用该程序对快堆实验钠回路中由于阀门的快速开启与关闭引起的压力波的传播进行了分析计算。

The replica material used in this study is Polydimethylsiloxane. The enlargement of replica compared to original size is 2.34%. Since PDMS is transparent, a layer of metal should be sputtered on its surface to measure optical characteristic, however the accuracy will be affected by the metal coated. The result assumes that Sternocera aquisignata, Chrysochroa rajah and Catoxantha opulenta may have one-dimensional photonic crystal structure. The fabrication of quasi-structure with elytra from Buprestid can promote the applications in the field of photonic structure and optical components.

经PDMS翻印的结果,最小仅增加原始尺寸的2.34%,翻印结果良好,但因翻印结果需镀上一层材料,使得镀上的材料严重影响结构的反射率,造成结构不同反射率也类似的情形,将结构刻画在不需镀金的材料上,将可防止镀上材料影响反射率的问题,并将所制成之结构用於防伪、光子结构研究和光学元件上。

On the basis of the analysis of thermodynamics and kinetics of hydrogenation system synthesizing butanol from, the tubular reactor synthesizing butanol from butyraldehyde was mathematically simulated through one-dimensional mathematical model.

在对混合丁醛加氢制丁醇的反应体系进行热力学与动力学分析的基础上,采用一维拟均相数学模型对丁醛加氢制丁醇管壳式固定床反应器进行数学模拟设计。

Utilizing the tools of conformal mapping and Cauchy integral formula and so on, the SIFs at the crack tips are obtained, which can be reduced to the known results under the condition of limitation; For the third and the fourth section, the problems of arc crack and parabolic crack are researched in one dimensional hexagonal QCs.

第二节研究了一维六方准晶狭长体中双半无限共线裂纹问题,利用保角变换以及Cauchy积分公式等工具求得了裂尖处的应力强度因子,在极限的情况下可以还原为若干已有的结果。

This thesis based this method applies one-dimensional cellular automaton to realize Gompertz and Logistic model.

基于该方法,本文用一维细胞自动机实现了Gompertz肿瘤模型和Logistic肿瘤模型。

In chapter I, we introduce the Jordan-Wigner transformation in detail, and illustrate its applications with three examples: the one-dimensional S = 1 XXZ model; the bilinear-biquadratic SU(2) invariant S = 1 chain; and the ionic Hubbard chain in the strong coupling limit. In chapter II, we review the S = 1/2 transverse Ising chain in detail.

在变换后发现隐藏在自旋为1的系统里自旋为1/2的SU(2)对称性及广义的U(1)规范对称性;(3)通过将推广的强耦合极限下的一维离子型Hubbard 模型变换为SU(3)反铁磁Heisenberg 模型,严格论证了离子型Hubbard 模型从能带绝缘体到莫特绝缘体的转变区域中自发二聚化绝缘体铁电性相即键序波相的存在。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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