Chapter 4 Sequences and Mathematical Induction. 4.1 Sequences.
Interesting Sequences
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Transcript of Interesting Sequences
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Interesting Sequences
Kun-Mao Chao (趙坤茂 )
Department of Computer Science and Information Engineering
National Taiwan University, TaiwanDate: October 2, 2007
WWW: http://www.csie.ntu.edu.tw/~kmchao
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Source: My niece’s email
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Source: My niece’s email
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Source: My niece’s email
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Count every " F" in the following text:
FINISHED FILES ARE THE RE SULT OF YEARS OF SCIENTI FIC STUDY COMBINED WITH THE EXPERIENCE OF YEARS...
Source: My niece’s email
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Olny srmat poelpe can raed tihs.
cdnuolt blveiee taht I cluod aulaclty uesdnatnrd waht I was rdanieg. The phaonmneal pweor of the hmuan mnid, aoccdrnig to a rscheearch at Cmabrigde Uinervtisy, it deosn't mttaer in waht oredr the ltteers in a wrod are, the olny iprmoatnt tihng is taht the frist and lsat ltteer be in the rghit pclae. The rset can be a taotl mses and you can sitll raed it wouthit a porbelm.
Source: My niece’s email
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Guess why they are grouped together?(Hint: You need to know Mandarin to answer this.)
Group 1: 1, 3, 7, 8
Group 2: 2, 4, 6
Group 3: 5, 9
(Tone 1)
(Tone 4)
(Tone 3)
Source: My nephew’s riddle
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趙元任 《施氏食獅史》Dr. Yuan Ren Chao’s Essay
(Every character in this article sounds like “Shi!”)
石室詩士施氏,嗜獅,誓食十獅。施氏時時適市視獅。十時,適十獅適市。是時,適施氏適市。氏視是十獅,恃矢勢,使是十獅逝世。氏拾是十獅屍, 適石室。石室濕,氏使侍拭石室。石室拭,氏始試食是十獅。食時,始識是十獅,實十石獅屍。試釋是事。
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Yet Another Dr. Chao’s Essay (Every character in this article sounds like “Fu!”)
浮桴負富夫,甫赴傅府,復覆。富婦付伕,扶,俯撫腐膚,敷。
Note: Here Dr. Chao refers to “Kun-Mao Chao,” not the master “Dr. Yuan Ren Chao.”
Created by me in September, 2007.
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“Discovery is to see what everyone else has seen, but think what no one else has thought.”
Albert Szent-Györgyi(The Nobel Prize in Physiology or Medicine, 1937 )
“By inventing elegant software tools, we can help biologists see and think.”
“Invention Discovery”
Kun-Mao Chao
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Source: My niece’s email
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Homework #1Due: September 29, 2008
Send TA a PowerPoint page including:(Subject: [HW1] Your student ID number) • Your Name• A sequence which, in your opinion, is sort of interesting or inspiring, noting if it’s your own creation or collection.
• A short reason explaining why it’s interesting or inspiring.