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前n个自然数的方幂和,∑i=1 m im(简称等幂和)是一个古老的难题,从著名的Euler-Maclaurin定理出发,给出了任意一个等差列方幂和公式,更一般地得到了等幂和的计算公式。 相似文献
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等幂和与Bernoulli数的简捷方法 总被引:1,自引:0,他引:1
王云葵 《商丘师范学院学报》2000,16(4):53-56
自然数的方幂和:Sm(n)=Σk=1 K^m(简称等幂和)是一个古老的难题。它与著名的伯努利数有着密切的联系;利用数论方法获得了等幂和的简单递推公式和Bernoulli数的通解公式,得到了前107个等幂和公式及前106个Bernoulli数的值。 相似文献
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研究了自然数方幂和的生成函数的递推公式,并给出了方幂和新的计算公式,利用递推公式很容易得到幂和的计算,为计算机解题提供了依据。 相似文献
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张凤玲 《重庆职业技术学院学报》2008,17(4):108-111
文献[1]、[2]中曾通过判别矩阵△是幂零矩阵,文献[3]通过幂等矩阵对一般矩阵的方幂作出了讨论。本文通过三次幂等矩阵对矩阵方幂作出初步讨论,并同时指出文献[2]的两处疏漏,把文献[3]中的结果再推广一点。 相似文献
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汪显林 《中学数学教学参考》1996,(5)
在p进制下的方幂和与和方幂问题杨之在[1]中介绍了自然数在数码平方和与和平方变换下进入循环的问题,并提出问题:p进制下的m次方幂和与和方幂变换下有无类似性质?进而,在[2]中介绍了冯跃峰的结果,并预示p进制下可类似证明,并进而提出了p进制下的和方幂问... 相似文献
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本文讨论了周期点的周期为2的方幂的一类差分方程的回归点的性质,定义这类差分方程的第i个分量仅依赖于交面i外独立变量。 相似文献
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盛宏礼在《自然数方幂的累进和》(载《中学数学月刊》1997年第1期)一文中定义了自然数方幂的累进和如下:设S_t(n)=1~t 2~t … n~t,SS_t(n)=∑S_t(j),t∈N,并称SS_t(n)为自然数方幂的累进和,通过证明下述定理,建立了累进和与方幂和之间的关系, 定理 SS_t(n)=(n 1)S_t(n)-S_t 1(n).(1) 相似文献
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蒋晓云 《桂林师范高等专科学校学报》2007,21(4):171-173
设a是任何一个正实数,本文研究了数列()的项的分布。当a是正无理数时,这个数列在[0,1]中稠密,并由此得出了σ的方幂的一个有趣性质,其中σ为自然数,且σ不为10的方幂。 相似文献
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《海外英语》2007,(5):10-11
Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help? 相似文献
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《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
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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
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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
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RUZBEHANI Mohsen 《重庆大学学报(英文版)》2004,3(1):20-25
1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec… 相似文献
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唐芳 《读与写:教育教学刊》2008,5(6)
During interview with English majors, it was found that a majority of students expressed disappointment with their experience of English literature classes. Students' dislike of learning English literature appears to be the major problem of teaching English literature in China. Reader response approach is a good way to solve this problem. In this paper, I explain the rationale behind the reader response approach, such as its origin, definition, features, assumptions, and strategies. Then I illustrate how reader response approach works as a teaching strategy by presenting several teaching models. At last I evaluate its usefuiness for teachers and present the advantages of reader response approach in Chinese context. 相似文献