定理

Theorem1 If has partial derivatives at , and has an extreme value at , then we have

定理 1 设函数在点具有偏导数，且在点处有极值，则有。

Construction and properties of the integral; convergence theorems; Radon-Nykodym theorem; Fubini's theorem; mean convergence.

积分。 积分的构造和性质；各类收敛定理；拉东(Radon-Nykodym)定理；富比尼定理；平均收敛

Theorem 3 Let be a continuous function on the interval and let be a number between and , then there is at least one number , such that.

定理 3 设函数在闭区间上连续，且在这区间的端点取不同的函数值及，那么，对于与之间的任意一个数，在开区间内至少有一点使。

Theorem 2 If the functionis continuous and increasing on the interval, then its inverse function is also continuous and increasing on the corresponding interval.

定理 2 如果函数在区间上单调增加且连续，那么它的反函数也在对应的区间上单调增加且连续。

Theorem Let M be a orientable or non-orientable closed surface, and f a C°-flow whose every singular point is isolated. Then f has POTP if and only if the following three conditions hold

定理 设M是任一个可定向或不可定向的闭曲面，f是M上任一个奇点均孤点的C〓-流，则f具有伪轨跟踪性质的充分必要条件是

This article discuss some basic conception , character ,lemma and axiom about keeping shape changed method .

本文主要论述了保形变换的一些基本的概念，性质，和重要的引理，定理。

Theorem 1 (Uniqueness of Limit of Function) If exists, then its limit is unique.

定理 1 如果存在，那么这极限唯一。

Firstly, we study the normality of a family of meromorphic functions concerning differential polynomial and shared values and prove the following Theorem 23.5 Let F be a family of m...

证明了 定理 2.3.5设F为Δ上亚纯函数，k、n、q∈N，P=ω~q+α_(q-1)ω~(q-1)+…+α_1ω是多项式，并且设Hf，f~1，…，f~(k是不含常数项的多项式，a、b为两个判别的有穷复数，并且b≠0，c是非零有穷复数。

If asked, I would say the numerals to me look "pinched".

如果问，我会说数词给我看看"定理"。

Theorem(Stokes's Theorem) Let be a piecewise smooth oriented curve in three-space, be a piecewise smooth oriented surface with boundary curve .The surface and the curve are related by a right-hand relationship, i.e., if the fingers of the right hand are cupped in the direction of ,then the thumbpoints in the direction of orientation of .,, have continuous first partial derivatives on and ,then

定理 设为分段光滑的空间有向闭曲线，是以为边界的分片光滑的有向曲面，的正向与的侧符合右手规则(即如果右手大拇指表示曲面的方向，则弯曲四指表示曲线的方向)，函数，，在曲面上具有一阶连续偏导数，则有下述公式成立

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。