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Name: Lee ChingCheong
Country: Hong Kong
Birthday: 9/16/1990
Gender: Male


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MSN: cheong999@msn.com
ICQ: 246809680


Member Since: 9/4/2005

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Tuesday, November 24, 2009

Working in wee hours really exhausts me.
Recently I have left over many problems at hand..., especially those problems with unreasonable difficulty.

As an example, you can, though not encouraged, try to show that \sum_{n=1}^\infty \frac{1}{n}\left(\frac{2+\sin n}{3}\right)^n converges,
here is the accompanying 4 pages solution. (quite an ad hoc approach)
http://www2.hkedcity.net/sch_files/a/yck/yck-021418/public_html/proofofextrdifcultseries.pdf

enjoy it!
    


Monday, November 23, 2009

http://bbs.sjtu.edu.cn/bbscon,board,TeX_LaTeX,file,M.1246290498.A.html

現在能夠使用
\usepackage[zswash,mtpbb,subscriptcorrection]{mtpro2}


Sunday, November 22, 2009

放棄 ctex,轉投 xelatex 的懷抱,終於可以完美地輸入繁體中文,正正式式地跟 Microsoft Word 說再見。

興起打了一篇中文。
http://www2.hkedcity.net/sch_files/a/yck/yck-021418/public_html/pdftoyin.pdf


Friday, November 20, 2009

Problem in Homework set 10.
1.

Prove that if \sum x_n converges, then \prod (1+ x_n) converges if and only if \sum x_n^2 converges.

2.
Prove that if \sum x_n^2 converges, then \prod (1+ x_n) converges if and only if \sum x_n converges.


Thursday, November 19, 2009

Riemann Stieltjes Integration:

http://www2.wunan.com.tw/download/preview/5B02.PDF

http://www.math.ucdavis.edu/~emsilvia/math127/chapter7.pdf



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