查询词典 analytic function of several variables

It obtained analytic expression or arithmetic solution of the mean value, the mean square value, the related function and the spectral density function of heat conduction system of 0-D, 1-D, 2-D and 3-D, by applying stochastically theory of linear system and the results of the first part.

该部分利用线性系统的随机理论和第一部分的成果，获得了0维、1维、2维和3维导热系统均值、均方值、相关函数、谱密度函数的解析表达式或数值解。

In the point reactor model, the probability function(n, t0, t) of a source neutron at time t0 leading to n neutrons at time t is dealt with. The non-linear partial differential equation for the probability generating function G(z; t0, t) is derived. By solving the equation, we have obtained an approximate analytic solution for a slightly prompt supercritical sys tem.

在点堆模型基础上，考虑了在t0时刻系统引入一个源中子，在t时刻产生n个中子的概率(n， t0， t)推导了概率生成函数G(z； t0， t)所满足的偏微分方程，并得到了近似解。

The first reason is that the squared-magnitude frequency-response function is an analytic, real-valued function of a real variable, and this considerably simplifies the problem of finding a " best" solution.

有两个原因，往往是近似进程方面制定的平方大小的传递函数，而不是真正的和/或虚构的部分传递函数或复杂程度的传递函数。

Properties of the reciprocal of δ_k function and it' s mean value are study, using analytic methods give an exact calculating formula for the reciprocal of δ_k function.

研究了δ_k函数倒数的性质及其均值估计问题，利用解析的方法得到关于δ_k函数倒数的一个精确的计算公式。

In this paper,the Riemann boundary value problem for bianalytic vector function s is investigated using the theory of boundary value problem for analytic functions,we have not only found the solution method for bianalytic vector function s,but also established an explicit form of the general solution and the conditions for the solvability of the above problem.

利用解析向量函数边值问题理论，提出了双解析向量函数的R iem ann边值问题，并研究了问题的解法和解的一般表达式及可解性条件，得到了相应的可解性定理，同样方法可解决多解析向量函数的边值问题

For the purpose to figure out location and function relations of three-dimensional syphon's unfolded curve with any bend angle, any diameter and any section, and to make integration of design and manufacturing for three dimensional big-diameter syphon, methods of engineering mathematics and analytic geometry are provided. Syphon's unfolded curve function in three-dimensional station is analyzed and built; the corresponding MATLAB procedures are compiled at the same time.

为了解决弯管在弯曲角度、直径、节数等变化时的三维弯管展平曲线的坐标位置以及函数关系问题，以实现大直径弯管的三维设计与制造的自动化、一体化，通过利用工程数学及画法解析几何的方法，分析和建立了弯管在三维状态下的展平曲线方程，同时编写了相应的MATLAB程序。

We compare the results with the analytic results from the weak coupling limit and the strong coupling limit. As an extension, when think about the dispersion relations for SU(2) trapped bosons, we find that we can not get the inverse effective mass directly from the dispersion relations of the holon-isospin excitation for the wave function from Bethe equation is not the eigenstate wave function of the total momentum.

作为推广，我们还研究了无限深势阱中SU(2)玻色子的各类激发态的色散关系，发现由于直接的Bethe Ansatz 波函数不是总动量的本征态，所以不同通过直接的色散关系来给出质量有效质量比。

Chapter Four is intended to discuss the construction and function of Japanese short-cycle higher education, discusses it with systematical theories and the analytic method of construction-function and concludes the overall features of Japanese short-cycle higher education system.

从系统论出发，运用结构—功能的分析方法，论述短期高等教育体系的内部构造与整体功能，概括日本短期高等教育体系的总体特征。

The invention relates to a method for the extraction of keratin from dead animal skins, characterised in the treatment of dead animal skins with a substance of general formula, or at least one corresponding alkali metal, earth alkali metal, ammonium, or phosphonium salt, the variables having the following definitions: R, R = together or independently, H, C6-C14 aryl, C1-C12 alkyl, unsubstituted or substituted with one or several SH or OH groups, R, R = together or independently, H, C6-C14 aryl, C1-C12 alkyl, unsubstituted or substituted with one or several SH or OH groups, whereby at least one of R or R is not H, or R and R are not H and two vicinal groups of R to R together may be C3-C10 alkylene, R = H, C1-C12 alkyl, H-C=O or C1-C4-Alkyl-C=O, X, X, X and X = OH, SH or NHR, whereby where Rto R contains at least one sulphur atom, at least one of X to X = SH and where R to R contains no sulphur atom, at least two of X to X= SH.

本发明涉及一种从死亡动物原皮中除去角质的方法，其特征在于用通式I的物质或至少一种对应的碱金属盐、碱土金属盐、铵盐或∴盐处理死亡动物原皮，式I中各变量定义如下：R 1 和R 4 相同或不同且选自氢、C 6 -C 14 芳基和C 1 -C 12 烷基，其未被取代或被一个或多个SH或OH基团取代；R 2 和R 3 相同或不同且选自氢、C 6 -C 14 芳基和C 1 -C 12 烷基，其未被取代或被一个或多个SH或OH基团取代，其中至少一个基团R 2 或R 3 不为氢，或R 1 和R 4 不为氢，且两个相邻基团R 1 -R 4 可以一起为C 3 -C 10 亚烷基；R 5 选自氢、C 1 -C 12 烷基、H-C＝O或C 1 -C 4 烷基-C＝O；X 1 、X 2 、X 3 和X 4 选自OH、SH和NHR 5 ，其中若R 1 -R 4 含有至少一个硫原子，则至少一个基团X 1 -X 4 为SH，以及若R 1 -R 4 不含硫原子，则至少两个基团X 1 -X 4 为SH。

In addition, some modifications on several computational methods are also presented. Using LMTO method the electronic structure of several systems are studied, and some results are obtained. They are: The ideal Nb (100) surface has three surface states, the multi-layer relaxed surface has two surface states. The surface energy of the ideal surface is higher than that of the relaxed surface, that means that the multi-layer relaxed surface is more stable than the former one, which supports the LEED results. The mono-layer relaxed Ag (111) surface is the most stable one among several" stable surface models"presented by several researchers. The surface energy of Ag (111) surface is higher than that of surface Ag (001), which supports some experimental results such as different reaction rate at different surface orientations for the same material. The surafce states of Si (111) surface not only locate near the Fermi level, but also in the valence band, which agrees well with Cohen's conclusion. Si (111)-H is an effective model for analysing the surface states and H adsorbed on the back surface is a good method for improving the convincingness of the results obtained on thinner slab models. The surface stability depends on three different kinds of MoSi〓(001) surfaces, the surface with mono-layer Si is the most stable one, and the surface with Mo at the first layer is the most unstable one among them. These are consistant with the Kemoda's experimental results. The valence bands of clean or K adsorbed CdTe (111) surface agrees well with the synchrotron radiation studies. The surface of CdTe (111) consists of four kinds of surface models which show different surface electronic structures and different surface structure stabilities. The conclusion agrees well with Wu's experimental work. The different absorbed alkali metals on the CdTe (111) surface give different adsorption characteristics which have relations not only with the valence electrons, but also with the core ones of the alkali metals. The electonic structures of Si-C alloys are different from that of Si-Ge alloys, and the energy band gaps of Si-C alloys do not increase linearly with Carbon concentration, our conclusion supports Alexander's results, but conflicts with Soref's one.

现分述如下： LMTO方法及其应用方面：1）通过对Nb（100）表面电子态分析发现清洁理想表面有三个表面态，多层弛豫表面有两个表面态；表面能大小说明多层弛豫表面更稳定，支持了LEED结果。2）通过对采用不同方法获得的几种不同Ag（111）表面稳定结构的表面能计算分析，给出了单层弛豫表面为Ag（111）表面的最稳定结构；从Ag（111）单层弛豫表面和Ag（001）表面的表面能比较，发现了Ag（001）表面表面能要比Ag（111）小的，表明了同种物质不同表面取向将表现出不同物理、化学性质，这是与实验中得出的结论是吻合的，3）通过对Si（111）表面态分析，不仅发现了Si（111）表面不仅具有居于费米能级附近的悬挂键所对应的表面态，而且还有很多表面态位于价带能量范围内，与Cohen等结果一致，H饱和slab模型背表面相当于增加了slab层的厚度，是一有效的变相增加slab层厚的方法，弛豫表面较清洁理想表面价带谱们低能端的少许移动，预示着总能降低，说明弛豫表面较清洁理想表面稳定。4）MoSi〓具有三种表面，从费米能级上态密度值大小得到单层Si表面最稳定，Mo原子为表层原子的表面最不稳定，双层Si原子表面居中的结论，这与Kemoda等人实验结果是一致的。5）通过对CdTe（111）表面表面电子态、表面结构稳定性及表面H、碱金属吸附的电子结构系列研究，不仅得出了CdTe（111）清洁及碱金属K吸附价带谱与同步辐射光电子谱相吻合的结果，而且发现了CdTe（111）表面具有四类不同原子近邻特征，表现出四类不同的表面结构及电子结构特征：不同表面态分布、不同的表面结构稳定性（表层原子与次层原子成三键有一悬挂键的表面要比表层原子与次层原子成一键有三悬挂键稳定（与Wu等人实验结果一致））、不同的H吸附特性。

It inculcates justification before God on the ground of human merits.

它说明在上帝灌输在地上人类优点。

TH Leaguer has excellent Quality Control and Management System.

本公司具有完善的品管部门。