极限定理

Its primary coverage includes: Function and limit, derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral and application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral and curvilinear integral, infinite series, differential equation and so on.

其主要内容有：函数与极限，导数与微分，中值定理与导数应用，不定积分，定积分及其应用，空间解析几何与矢量代数，多元函数的微分法及其应用，重积分与曲线积分，无穷级数，微分方程等。

It is found and emphasized in the paper that the complete form of differential and integral characteristic theorem automatically incorporates the shift properties in both the frequency and time domains, as well as other important properties of Fourier transform, and so it plays an important role in Fourier transform.

并强调了完整形式的微积特性定理自动地包括了Fourier变换的"频移特性"、"时延特性"等其它的重要特性，因此它在Fourier变换中具有基本的重要意义。关键词：Fourier变换微积特性，Fourier变换的极限定义式，冲激型广义函数，频移特性等

Theorem 1 If the sequence is convergent, then its limit is unique.

定理 1 如果数列收敛，那么它的极限唯一。

Theorem 4(Relation of a Convergent Sequence between its Subsequence) If the sequence converges to ,then any of its subsequence is also convergent, and the limit is also .

定理4(收敛数列与其子数列间的关系)如果数列收敛于，那么它的任一子数列也收敛，且极限也是。

Based on the convex analysis and duality theorem, a kinematic shakedown formulation for 3-D problems is derived.

根据下限定理，通过引入P泛数，并采用应力函数法构造平衡应力场，建立了极限下限分析的有限元数学规划格式。

This curriculum primary coverage includes: Function and limit, a circular function derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral, definite integral application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral, curvilinear integral and surface integral, infinite series, differential equation.

该课程的主要内容有：函数与极限，一元函数的导数与微分，中值定理与导数的应用，不定积分，定积分，定积分的应用，空间解析几何和向量代数，多元函数微分法及其应用，重积分，曲线积分与曲面积分，无穷级数，微分方程。

The paper gives several theorems for derivate of the function with finite limit at the infinite point and its strict proof.

给出了在无穷远处具有有穷极限的函数的有关导数的几个定理及其严格证明。

Differential Calculus: limits and continuity; derivatives; techniques of differentiation; mean value theorem; higher derivatives; maxima and minima; curve sketching.

微分学：极限与续性、导、微分的方法、值定理、阶导数、值、绘曲线。

By applying Bendixson-Dulac theroem, we show that the system admits no limit cycle in the first quadrant, thus the global stability of the interior equilibrium is followed.

首先通过运用Bendixson-Dulac定理证明了系统在第一象限没有极限环，从而证明了正平衡点的全局稳定性。

Using the limit definition of Fourier transform, the paper has proved the universal form of Fourier transform differential and integral characteristic theorem, explained its application method, and pointed out that errors can be substantially reduced by using this method.

提要：本文采用Fourier变换的极限定义式，证明了普遍形式的Fourier变换微积特性定理。

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。