研究生科學(xué)研究

1、北京航空航天大學(xué)李運(yùn)華2014-02-17Karl Heinrich Marx (1818-1883) 馬克思，馬克思主義哲學(xué)、政治經(jīng)馬克思主義哲學(xué)、政治經(jīng)濟(jì)學(xué)和科學(xué)社會(huì)主義濟(jì)學(xué)和科學(xué)社會(huì)主義奠基人，偉大的革命導(dǎo)師。馬克思一生博覽群書(shū)，學(xué)識(shí)淵博而精深。他雖然記憶力驚人，對(duì)讀過(guò)的書(shū)能記得異常深刻準(zhǔn)確，但他讀書(shū)時(shí)總要作筆記。為撰為撰寫(xiě)寫(xiě)資本論資本論，馬克思讀了，馬克思讀了15001500多多種書(shū)籍，光筆記就寫(xiě)了種書(shū)籍，光筆記就寫(xiě)了100100多本。多本。偉大的革命導(dǎo)師馬克思有記筆記的良好習(xí)慣偉大的革命導(dǎo)師馬克思有記筆記的良好習(xí)慣 , , , , known conditions, solutuio

2、ns, relationship, knowledgePc s R QcsRQIf ( ) meets (1)( )(1), prove ( ) is periodic function.The other expression of this problem: (1)( )(1), and (0)=1, (1)=3, solve (2012)f xf xf xf xf xf xf xf xfff22116nSnSuppose (0)=1, (1)=3, then we can computef(2)=2,f(3)=-1, f(4)=-3,f(5)=-2,f(6)=1,f(7)=3,we ca

3、n guess (3)( ), and (6)( )fff xf xf xf x (3)(2)(1)(1)( )(1)( )(6)(3)3)(3)( )So ( ) is a periodic function, and its period is 6.f xf xf xf xf xf xf xf xfxf xf xf x 合情推理Bornouli 提出的問(wèn)題提出的問(wèn)題, 最終被最終被Euler解決解決.242222222222221sin0, Obviously this equation has the roots of 0, ,- ,n ,-n ,1( 1)1(1)(1)(1)3!5!(21)!49111111(),So, 23649nnnxxxxxxxnn 222222012022212101122212( 1)(1)(1)(1)111(),where , are the different rootsnnnnnnnxxxbb xb xb xbbbn LLLL整個(gè)推理過(guò)程難以令人置信, 但為合情推理.Euler歐拉最終采用付利葉級(jí)數(shù)嚴(yán)格證明了等式 的成立.211nSn2221( 1)4cos, ()3nnxnxxnLet the coefficients of the term x sq