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Theorem 1 Let be continuous on the closed interval and let be a point in.

如果函数在区间上连续，则积分上限函数=在上可导，并且它的导数是

Let be defined on the closed interval, and let be an arbitrary partition of,, where is the width of the th subinterval.

设是定义在闭区间上的函数，是的任意一个分割

At this moment, let the Chinese national shame, and let the anxious scene happened: the central on foreign friends stood up and went straight to the front, gently in coin box threw 1rmb.

就在这时，让中国人揪心、让中华民族汗颜的一幕发生了：坐在车厢中部的那位外国友人站起来，直接走到最前面，轻轻地在投币箱里投了一元人民币。

"They feel like they're preparing you for New York," Colter Bean, a 30-year-old reliever, said of the fans."They'll let you know when you're doing bad, but they'll let you know when you're doing good, too."

"他们感觉是在为纽约而准备你，" Colter Bean，一位30岁的中继，说到球迷时，"当你打不好，他们将会让你知道；但当你打得好时，他们也会让你知道。"

Let A be a matrix of full column rank, and let x be a computed solution to the linear system ATAx = b.

设A是一个列满秩矩阵，x是线性方程组ATAx=b的一个计算解。

I can let you go with me shoulder to shoulder because I love you too much. Walk in happiness and anguish I will share in tears with you. But I won't ask you not to cry. I'll respond your requirement, take care of you, console you. But I won't draw you when you want to leave. I prepare to be with you at any time when you are alone or comfortless. But I won't let you not experience your sorry and loneliness. I'll do my endeavor to konw your saying and your meaning, but I do not always agree with what you said.

因为我太爱你，所以我能放手让你与我并肩而行，走在快乐里和痛苦里，我会分担你的眼泪，但我不会要你不哭；我会响应你的需要，关心你，安慰你，但我不会在你能自己走时拖着你不放；我随时准备在你难过和孤独时和你在一起，但我不会不让你体验自己的难过和孤独；我会尽力听懂你的话和意思，但我不会总是同意你说的。

Theorem4.5 Let A be a compact normal operator, is an isolated point in Prop4.13 Let A be a compact normal operator, AO is an isolated point in a.

i20 其中（入，…＼＊为一川的所有的互不相同的孤立点。命题4.13设A是紧正常算子，人。一0是a…）的＄良立点。

The central goal of this work is trying to generalize the above result to the Higgs version case, which should be helpful to the study of some question, say variants of the Kobayashi-Hitchin correspondence. The theorem to be proved here is the followingTheorem 02: Let M be a compact complex manifold of dimension m with a Hermitian standard metric g and let be a Higgs bundle over M.

本文的一个主要的目的是把上面的定理推广到E是—Higgs向量丛的情形；这一结果的意义在于在研究与Kobayashi-Hitchin correspondence相关的问题，如考虑Kobayashi-Hitchin correspondence的形变展现它的作用。

Don't let's complicate it, for god's sake let's keep it simple.

不要把它弄复杂了，看在上帝的份上，让我们保持它的简单。

To a school, have and let size of scale , all the time can produce a large number of student message, Information the complicatedness like this, magnanimity like this, make each school waste a large amount of manpower and material resources for maintaining and manage the information, The result is still very low, often make mistakes, let alone the fast scientific analysis of the data.

对一个学校来说，无任规模的大小，每时每刻都会产生大量的学生信息，这些信息是如此的复杂，如此的海量，使得每个学校为维护和管理这些信息而浪费了大量的人力和物力，结果还十分的低下，经常出错，更谈不上数据的快速的科学分析。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。