定理的

Then the problem is further equivalent to a kind of Riemann boundary value problem on the real axis by extension of symmetry with respect to the real axis.

利用已有结果得到了该问题的可解性定理。

In the fourth chapter,first of all,a metric space is derived by the Loeb measure space which is a standard measure space,follow that the Completeness,separability and the Baire theorem are expressed.

第四章中，首先由Loeb测度这个标准测度空间导出度量空间，接着讨论了该度量空间的完备性和可分性以及其Baire定理(来源：A8525B52C论文网www.abclunwen.com)。

The convergence of the new algorithm based on Bayes′s theorem and stochastic transform process are analyzed.

基于Bayes定理和随机状态转移过程对新算法的收敛性进行分析。

Majority from Bernoulli's theorem, when n tends to infinity when the frequency fn in a certain sense under closer probability P.

由伯努利大数定理，当n趋向于无穷大的时候，频率fn在一定意义下接近于概率P。

A theorem giving the expansion of a binomial raised to a given power.

将二项式扩展到规定幂的定理。

Evaluation of P is simplified if the square root terms are expanded by the binomial theorem.

如果按二项式定理展开来计算平方根，P的计算可以简化。

The binomial theorem expands powers of sums.

二项式定理扩大权力的高低。

And by the 14th century Chinese mathematicians had made significant advances in algebra, in the numerical solution of equations and in the rudiments of the binomial theorem.

到14世纪，中国数学家们在代数、数的方程解答和基础二项式定理方面都取得了重大发展。

He also proved that the size of the black hole theorem.

他还证明了黑洞的面积定理。

This paper considered the existence of solutions to boundary value problem of several kinds of nonlinear sys...

本文利用锥理论，不动点理论，Krasnoselskii不动点定理等研究了两类奇异微分方程非线性边值问题解的情况，得到了一些新成果。

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。