定理

Third, the use of Lagrange's theorem proving the points of the study on some conclusions, that the Lagrange theorem in the integral study also has a wide range of applications.

再次，利用拉格朗日定理证明了积分学上的几个结论，说明拉格朗日定理在积分学中也有广泛的应用。

Although it is easy to prove the result of the integral mean value theorem in advanced mathematics, the application of the theorem is thus limited.

摘要高等数学中的积分中值定理，其结论易于证明，但限制了定理的应用。

We proved the second mean value theorem of integral with intermediate value of continuous function and absolute continuity of integral, and determine that is true even in the infinity interval with same method.

用连续函数的介值性和积分的绝对连续性证明了积分第二中值定理，并用同样的方法证明了当区间为无穷区间时的积分第二中值定理。

In the second chapter, we consider a kind of Kolmogorov system. The sufficient condition for nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained by using divergence integral, Poincare-Bendixson theorem and Zhang Zhifenunique theorem.

第二章讨论了一类Kolmogorov系统，利用发散量积分、环域定理和张芷芬唯一性定理，得到了该系统无闭轨的充分条件和存在唯一极限环的条件。

Among which theorem 1 and theorem 2 are similar to the controlled convergence theorem and Lukin theorem in Lebesgue integral Theory.

定义μ=|G|／|Irr|。得到了定理1 若G是非交换有限群2。首先得到具有这种性质的非Abel有限单群的完全分类定理。

What is discussed in this paper is on the applications of the integral upper limit function in proving the equality, proving the inequality, calculating the repeated integral , the theorem of integratl mean value , prove the theorem of differention mean value .

给出了积分上限函数在证明等式和不等式、算累次积分、明微分中值定理和积分中值定理中的应用。

In the second chapter, we consider a kind of Kolmogorov system. The sufficient condition for nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained by using divergence integral, Poincare-Bendixson theorem and Zhang Zhifen\'unique theorem.

第二章讨论了一类Kolmogorov系统，利用发散量积分、环域定理和张芷芬唯一性定理，得到了该系统无闭轨的充分条件和存在唯一极限环的条件。

Moreover,we also gave the proofs of generalization formula of integration by parts,the Green s formula of first type and the Green s formula of second type by using the divergence theorem .

首先指出数学分析中反映二重积分和第二类平面线积分联系的Green公式可以看成是散度定理的一种特殊情形，然后利用散度定理给出广义分部积分公式、第一Green公式和第二Green公式的证明

Its universal approximation has been proved by using differential intermediate value theorem and Weierstrass theorem.

笔者采用微分中值定理和Weierstrass定理证明它的通用逼近性。

Differential intermediate value theorem commonly known as "Lagrange mean value theorem" is a differential study in one of the most important conclusion.

微分中值定理一般称为"Lagrange中值定理"，是微分学中最重要的结论之一。

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。