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1.
本文讨论的主要是Lebesgue测度、Lebesgue积分的推广,所谓L-S测度,并讨论了由R1上有限增函数α(χ)所确定的L-S测度的性质。  相似文献   

2.
在非标准多饱和模型下,讨论了复Loeb测度空间中的Radon-Nikodym定理.首先,给出了复测度及其变差相应的Loeb测度之间的关系.其次,给出了有限测度的复Loeb空间中的Radon-Nikodym定理.最后,得到了?-有限测度的复Loeb空间中的Radon-Nikodym定理.  相似文献   

3.
从Riemann积分与Lebesgue积分的定义、性质、积分与极限交换次序及微积分基本定理等方面进行比较,并给出Lebesgue积分下的积分中值定理及证明,讨论了Lebesgue积分和Riemann积分二者之间的关系。最后,通过二者在广义积分方面的比较,说明Lebesgue积分在广义积分方面并不是Riemann积分的推广。  相似文献   

4.
在非标准饱和模型下将有限测度的泛Loeb测度推广到了σ-有限测度的泛Loeb测度,并证明了Borel测度空间的某些泛Loeb可测集推广到σ-有限测度空间也是泛Loeb可测的.  相似文献   

5.
根据广义Riemann积分和Lebesgue积分的概念,给出了广义Riemann积分与Lebesgue积分的几个性质。  相似文献   

6.
从集列的上下极限的定义出发,系统总结并讨论了集列上下极限的一般性质,并研究了上下极限在Lebesgue积分论与测度空间问题上的应用.  相似文献   

7.
本文在测度论的基础上从众多的测度概念中对Lebesgue测试的建立方法加以总结,从两个方面深刻讨论了它的有关概念,使Lebesgue测度理论更加全面和清晰。  相似文献   

8.
本文对《实变函数》中的重要概念测度的教学作了若干探究。既要从直观上介绍Lebesgue测度的原始定义,也要使学生明白Lebesgue的原始定义依赖于原集合的性质而不能进行推广的缺陷。在此基础上更要强调Caratheodory的定义脱离了原集合的具体性质便于进一步抽象推广。  相似文献   

9.
根据广义积分和积分的概念,给出了广义积分与RiemannLebesgueRiemann积分的几个性质。Lebesgue  相似文献   

10.
集值函数的收敛定理   总被引:1,自引:0,他引:1  
利用单调集函数的零集伪连续和伪零集连续这两个性质,给出了单调测度空间上闭集值可测函数序列的两种类型的Lebesgue定理,进一步推广了相关结果。  相似文献   

11.
《海外英语》2007,(5):44-45
It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,  相似文献   

12.
《海外英语》2007,(4):36
There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.  相似文献   

13.
王菲 《华章》2007,(12):273-273
Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.  相似文献   

14.
裴水妹 《华章》2007,(11):196
Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.  相似文献   

15.
16.
1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…  相似文献   

17.
Today, Sunday morning, I sit thinking and typing at my computer. My thoughts are in my homeland, India and my body is in China. The body is here and mind there for a good reason. Mr. Hu is president and I am resident and both are in each other's countries (what a difference the absence of one small letter makes!). Mr. Hu will return in a few days and I will stay on longer.  相似文献   

18.
STORIES     
正A One day a pig went to the stable(马棚)to see his good friend,an oldhorse,and was going to stay there forthenight.Night came and it was time forsleep.The pig went into the straw heap(稻草堆)and lay comfortably.A longtime passed,but the horse was stillstanding there and did not move.Thepig asked the horse why he did not go tosleep."Standing like this is the begin-ning ofsleeping,"answered the horse.  相似文献   

19.
正1.Any fool can count the seeds in an apple.Only God can count all the apples in one seed.2.Happy families are all alike;every unhappy family is unhappy in its own way.3.Memories are the key not to the past,but to the future.4.Sometimes in the dark you see what you want to see.5.There is a great difference between  相似文献   

20.
正Scope and Policy The Journal of Chongqing University-English Edition(JCQU-E)is a peerreviewed journal publishing research articles in multiple disciplines of science and technology,covering civil and environmental engineering,chemical engineering,biotechnology,mechanical and electrical engineering,computer and data processing,mining,metallurgy,materials science,and interdisciplines thereof.  相似文献   

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