電大復(fù)變函數(shù)作業(yè)卷(三)

1、專業(yè)好文檔復(fù)變函數(shù)作業(yè)卷（三）一、判斷題1、設(shè)c為的解析域d內(nèi)的一條簡單正向閉曲線，則. ( )2、若u, v都是調(diào)和函數(shù)，則是解析函數(shù)。( )3、設(shè)在單連通區(qū)域d內(nèi)解析，則是的一個原函數(shù)，c為d內(nèi)的一條正向閉曲線則。 ( ) 4、設(shè)是區(qū)域d內(nèi)的調(diào)和函數(shù)，則函數(shù)在d內(nèi)解析。 ( )5、若函數(shù)在d內(nèi)解析，則函數(shù)。( )二、 填空題1、設(shè)c為到點的直線段，則2、若c為正向圓周，則3、若c為正向圓周，則4、若函數(shù)為區(qū)域內(nèi)的調(diào)和函數(shù)，則5、若，則 。三、計算、證明題1、設(shè)點a,b分別為和，試計算的值，其中c為（1）點到點的直線段；（2）由點沿直線到再到的折線段.解：(1)(2)2.設(shè)c為從-2到2的上

2、半圓周，計算積分的值。解：3、計算解：4計算，其中c為正向圓周。解：函數(shù)在c內(nèi)有兩點不解析，設(shè)5、計算積分，（1）當(dāng)點0在c內(nèi)，點1在c外;（2）當(dāng)點1在c內(nèi)，點0在c外;（3）當(dāng)點0，1均在c內(nèi);（4）點0，1均在c外。解：（1） 原式= （2） 原式=（3） 原式=（4） 原式=06、證明為調(diào)和函數(shù)，在求其共軛函數(shù)，并寫出關(guān)于z的表達(dá)式。證明：故為調(diào)和函數(shù)解：v為u的共軛調(diào)和函數(shù)故又故 令 得：即 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

3、comments came hours after fifa vice-president jeffrey webb - also in london for the fas celebrations - said he wanted to meet ivory 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,

4、 77, said: it has been decided by the fifa congress that it is a nonsense for racism to be dealt with with fines. you can 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.

5、 it is all nonsense.we can do something better to fight racism and discrimination.this is one of the villains we 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 h

6、ead of fifas anti-racism taskforce, is in london for the football associations 150th anniversary celebrations 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

7、 i would like to speak to him first to find out what his experience was.uefa hasopened disciplinary 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

8、referees actions.cska said they were surprised and disappointed by toures complaint. 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 impo

9、rtant role in this mission. starting at the ground, conditions have to be 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 weath

10、er lives. it will climb higher than the tip of mount everest (5.5 miles/8.85 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 turb

11、ulence.the balloon will slowly drift to the edge of space at 120,000 feet ( 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 tr

12、aveling fast, so despite the distance, it will not be like diving into the deep end of a pool. it will be like he is diving into the shallow end.skydiver preps for the big jumpwhen he jumps, he is expected to reach the speed of sound - 690 mph (1,110 kph) - in less than 40 seconds. like hitting the

13、top of the water, he will begin to slow as he approaches 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,

14、 he plans to deploy his 270-square-foot (25-square-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 speed