定理的

Local existence is proved by using a fixed point theorem.

本文利用不动点定理证明了局部解的存在性。

The existence and uniqueness of the solutions are proved by Leray-Schauder fixed point theorem.

相应解的存在唯一性由Leray-Schauder不动点定理得以证明。

We prove that the existence and uniqueness of solution of the system of generalized nonlinear variational inclusions by using the fixed point theorem.

运用不动点定理，我们证明了广义非线性变分包含组解的存在性与唯一性。

We show that it has at least one or two or three positive solutions under some assumptions by applying the fixed point theorem and the index theory.

我们运用不动点定理和指标理论在适当的条件下得到了该类问题至少存在一个、两个或三个正解。

The present paper employs the cone theory, fixed point index theory, and Krasnoselskii fixed point theorem and ...

本文利用锥理论，不动点理论，Krasnoselskii不动点定理等研究了几类微分方程奇异边值问题解的情况，得到了一些新成果。

The Four Color Problem dates back to 1852 when Francis Guthrie, while trying to color the map of counties of England noticed that four colors sufficed.

四色定理问题的历史可以追溯到1852年当弗朗西斯·古德里正在试着把英国地图标上颜色时发现四种颜色就足够了。

Based on the Fresnel principle, a method of the seawater salinity measurement using fiber is introduced.

本文提出了一种应用菲涅耳定理设计的光纤盐度测量方法。

The last chapter talks about the positive solution\'s existence of periodic boundary value problem of functional differential equation.

最后一章通过锥上不动点定理讨论了泛函微分方程周期边值问题正解的存在性问题。

This paper explores ways to prove fundamental theorem of algebra with mathematical analysis.

该证明从复变多项式无非零最小模引入，并在此基础上简单证明了代数学的基本定理。

Their solutions are described by the fundamental theorem of the calculus,which reads as follows.

意思是：它们的解由微积分基本定理所描述，可写出如下。

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。