超几何的

Therefore, a new hypergeometric distribution method is proposed for testability estimation and demonstration. Based on hypergeometric distribution, the maximum likelihood estimate method is applied in point estimation, and the Bayes formula is applied for interval estimation, hence a testability demonstration rule is provided.

基于故障检测成功数的超几何分布，利用极大似然法思想研究了RR(上标 FIC指标的点估计方法，利用贝叶斯公式研究了区间估计方法，并给出了测试性验证规则。

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。

The quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using hypergeometric equation, hypergeometric 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，利用超几何方程、超几何函数和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。

In Chapter 1,we first look back the history of hypergeometric series and basic hy-pergeometric series,and then introduce some necessary concepts and notations.

第一章首先回顾超几何级数与基本超几何发展的历史，然后引进一些必要的概念和记号。

Also, the theory of Gel'fand hypergeometric functions and the theory of multivariate hypergeometric series associated to Clebsch--Gordan coefficients of the unitary group U is given.

另外，Gel'fand超几何函数理论和多元几何关联克勒布什系列理论-的酉群U的戈尔丹马尔系数给出。

The Teukolsky equation is transformed to Heun eqution by variable substitution, and the Heun eqution is a known mathematical function, its solutions is in the form of series of hypergeometric functions.

Hisao Suzuk等通过一系列参量变换转化Teukolsky方程为Heun方程，而Heun方程是已知的数理方程，其解的形式是超几何函数级数。

In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.

本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1，1)到经典实半单Lie群的调和映照的具体构造，并给出其显式表示；其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面，将这些映照所满足的几何条件转化为可积系统，然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造；最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。

In part II,we consider the recurrence formula of double hypergeometric terms.

在文章的第二部分，我们考虑了双超几何项的递推公式。

In the frame of quantum mechanics, Schrodinger equation has been deduced to the hypergeometric equati...

在量子力学框架内，利用这一相互作用势成功地将系统的Schrodinger方程化为超几何方程，从而简化了系统本征值和本征态问题的计算和讨论。

Multivariate hypergeometric functions, multivariate Jacobi polynomials and h-harmonic polynomials connected with root systems and Coxeter groups are introduced.

多元超几何函数，多元Jacobi多项式和h与根系考克斯特集团有关的调和多项式介绍。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。