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1、專業(yè)好文檔
《復(fù)變函數(shù)》作業(yè)
第1章 復(fù)數(shù)與復(fù)變函數(shù)
一、單項選擇題
1、C 2、D 3、D 4、C
二、填空題
1、2xy 2 3、連通的開集
4、。
三、計算題
1、解：令
2、解：
3、解
則
。
4、解：
四、證明題
1、證明：
則
2、證明
第2章 解析函數(shù)
一、單項選擇題
1、D 2、D 3、C 4、C
二、填空題
1、不解析 2、及其領(lǐng)域內(nèi)可導(dǎo) 3、
4、
三、計算題
1、解：
2、解：
3、見課本79頁例2.8。
4、解：依C—R條
2、件
四、證明題
1、證明：
2、證明：
第3章 初等函數(shù)
一、單項選擇題
1、A 2、D 3、B 4、A
二、填空題
1、 2、 3、
4、
三、計算題
1、解：。
2、解：
3、解：
4、解：
四、證明題
1、證明：
所以命題得證。
2、證明：
命題得證。
第4章 解析函數(shù)的積分理論
一、單項選擇題
1、D 2、A 3、B 4、A
二、填空題
1、 2、ML 3、7 4、
三、計算題
1、解：積分路徑的參數(shù)方程為：
3、
2、解:
3、解： .
4、解、
四、證明題
1、證明：
2.證：設(shè)由圓周圍成的區(qū)域為，易知，為有界閉區(qū)域．
因函數(shù)在內(nèi)不是常數(shù)，在內(nèi)解析，且在有界閉區(qū)域上連續(xù)，所以，由最大模原理有
這表明在內(nèi)取不到最大值，故它只能在的邊界上取到最大值，即在圓周上必存在一點，使得，且有
故結(jié)論得證．
第5章 解析函數(shù)的冪級數(shù)表示
一、單項選擇題
1、B 2、B 3、D 4、C
二-填空題
1、 2、一 3、0 4、一
三、計算
4、題
四、證明題
第6章 解析函數(shù)的羅朗級數(shù)表示
一、單項選擇題
1、D 2、C 3、D 4、B
二、填空題
1、 2、 3、一
4、本性
三、計算題
四、證明題
第七章 殘數(shù)及其應(yīng)用
一、 單項選擇題
1、B 2、A 3、A 4、C
二、填空題
1、 2 3、4 4、0
三、計算題
四、證明題
第8章
一、單項選擇題
1、C 2、D 3、D 4、D
二、填空題
5、
1、單葉、保角 2、解析、不為零
3、 4、
三、計算題
四、證明題
"If we dont do that it will go on and go on. We have to stop it; we need the courage to do it."
His comments came hours after Fifa vice-president Jeffrey Webb - also in London for the FAs celebrations - said he wanted to meet Iv
6、ory Coast international Toure to discuss his complaint.
CSKA general director Roman Babaev says the matter has been "exaggerated" by the Ivorian and the British media.
Blatter, 77, said: "It has been decided by the Fifa congress that it is a nonsense for racism to be dealt with with fines. You ca
7、n always find money from somebody to pay them.
"It is a nonsense to have matches played without spectators because it is against the spirit of football and against the visiting team. It is all nonsense.
"We can do something better to fight racism and discrimination.
"This is one of the villains w
8、e have today in our game. But it is only with harsh sanctions that racism and discrimination can be washed out of football."
The (lack of) air up there
Watch mCayman Islands-based Webb, the head of Fifas anti-racism taskforce, is in London for the Football Associations 150th anniversary cel
9、ebrations and will attend Citys Premier League match at Chelsea on Sunday.
"I am going to be at the match tomorrow and I have asked to meet Yaya Toure," he told BBC Sport.
"For me its about how he felt and I would like to speak to him first to find out what his experience was."
Uefa hasopened dis
10、ciplinary proceedings against CSKAfor the "racist behaviour of their fans" duringCitys 2-1 win.
Michel Platini, president of European footballs governing body, has also ordered an immediate investigation into the referees actions.
CSKA said they were "surprised and disappointed" by Toures complain
11、t. In a statement the Russian side added: "We found no racist insults from fans of CSKA."
Baumgartner the disappointing news: Mission aborted.
The supersonic descent could happen as early as Sunda.
The weather plays an important role in this mission. Starting at the ground, conditions have to be
12、very calm -- winds less than 2 mph, with no precipitation or humidity and limited cloud cover. The balloon, with capsule attached, will move through the lower level of the atmosphere (the troposphere) where our day-to-day weather lives. It will climb higher than the tip of Mount Everest (5.5 miles/8
13、.85 kilometers), drifting even higher than the cruising altitude of commercial airliners (5.6 miles/9.17 kilometers) and into the stratosphere. As he crosses the boundary layer (called the tropopause),e can expect a lot of turbulence.
The balloon will slowly drift to the edge of space at 120,000 fe
14、et (
Then, I would assume, he will slowly step out onto something resembling an Olympic diving platform.
Below, the Earth becomes the concrete bottom of a swimming pool that he wants to land on, but not too hard. Still, hell be traveling fast, so despite the distance, it will not be lik
15、e diving into the deep end of a pool. It will be like he is diving into the shallow end.
Skydiver preps for the big jump
When he jumps, he is expected to reach the speed of sound -- 690 mph (1,110 kph) -- in less than 40 seconds. Like hitting the top of the water, he will begin to slow as he appr
16、oaches the more dense air closer to Earth. But this will not be enough to stop him completely.
If he goes too fast or spins out of control, he has a stabilization parachute that can be deployed to slow him down. His team hopes its not needed. Instead, he plans to deploy his 270-square-foot (25-squa
17、re-meter) main chute at an altitude of around 5,000 feet (1,524 meters).
In order to deploy this chute successfully, he will have to slow to 172 mph (277 kph). He will have a reserve parachute that will open automatically if he loses consciousness at mach speeds.
Even if everything goes as planned, it wont. Baumgartner still will free fall at a speed that would cause you and me to pass out, and no parachute is guaranteed to work higher than 25,000 feet (7,620 meters).
cause there
電大《復(fù)變函數(shù)》作業(yè)
