超几何的

Using the two basic recurrence formulae that double hypergeometric terms satisfy, we get the general form of such representation.

利用双超几何项的两个基本递推关系，我们导出了这种表示的一般形式。

In 1993, Yen in her doctoral dissertation [45] gave the first a priori estimate of the number for hypergeometric identities, it is extremely large.

1993年，Yen在她的博士论文中第一次对超几何恒等式给出了这个项数的一个先验估计，但是非常大。

While, Zeilberger and Wilf [39] showed that proper hypergeometric terms are holonomic and conjectured that the inverse assertion also holds.

所幸的是Zeilberger和Wilf在中证明了正则的超几何项是完整的并猜想其逆命题也成立。

Peoplr usually think that for hypergeometric experiment, the traials are dependent and the probability of success therefore is not constant.

超几何实验中，每次试行间并不是互相独立，因此有些人以为成功的机率并不像二项实验般是固定不变的。

In this thesis, we focus on this question for q-hypergeometric identities.In 1993, Yen in her doctoral dissertation [45] gave the first a priori estimate of the number for hypergeometric identities, it is extremely large.

1993年，Yen在她的博士论文(来源：Ab6BCd0论2d文网www.abclunwen.com)中第一次对超几何恒等式给出了这个项数的一个先验估计，但是非常大。

From this theorem, we prove the existence of the recurrence for the admissible q-proper hypergeometric sums, and obtain an estimate of the order J of the recurrence.

在此基础上证明admissible q-proper超几何和的迭代关系的存在性，并且得到迭代关系阶数J的一个估计。

Based on the Collins integral formula, the propagation of generalized hypergeometric beams in paraxial ABCD optical systems is studied and the analytical expressions for complex amplitude at output plane are obtained.

利用柯林积分公式研究了广义超几何光束在ABCD近轴光学系统中的传播行为，得到了光束在输出平面复振幅的解析表达式。

When Zeilberger studied Sister Celine's Method in the late 1970s, he realized that one can prove a hypergeometric identity by checking a finite number of special cases. In the book "A=B" [37, p. 70], it is pointed that it is an interesting research question to ask how small we can make this a priori estimate of the number.

当Zeilberger在70年代后期研究Sister Celine方法的时候，他意识到一个超几何恒等式可以通过验证有限项来证明，在书《A=B》中进一步指出，研究这个项数的先验估计到底能达到多么小是一个有趣的问题。

When Zeilberger studied Sister Celine\'s Method in the late 1970s, he realized that one can prove a hypergeometric identity by checking a finite number of special cases. In the book "A=B" 37, p.

当Zeilberger在70年代后期研究Sister Celine方法的时候，他意识到一个超几何恒等式可以通过验证有限项来证明，在书《A=B》中进一步指出，研究这个项数的先验估计到底能达到多么小是一个有趣的问题。

The author used this intrinsic connection to give the notion of horizontal mean curvatures of hypersurfaces in sub-Riemannian manifolds.

作者应用这个内在的联络给出了超曲面的水平平均曲率的几何定义。

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。