文件名称:SPC1
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- 上传时间:2012-11-16
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How far can you make a stack of cards overhang a table? If you have one card, you can create a maximum overhang of half a card length. (We re assuming that the cards must be perpendicular to the table.) With two cards you can make the top card overhang the bottom one by half a card length, and the bottom one overhang the table by a third of a card length, for a total maximum overhang of 1/2 + 1/3 = 5/6 card lengths. In general you can make n cards overhang by 1/2 + 1/3 + 1/4 + ... + 1/(n + 1) card lengths, where the top card overhangs the second by 1/2, the second overhangs tha third by 1/3, the third overhangs the fourth by 1/4, etc., and the bottom card overhangs the table by 1/(n + 1). This is illustrated in the figure below.-How far can you make a stack of cards overhang a table? If you have one card, you can create a maximum overhang of half a card length. (We re assuming that the cards must be perpendicular to the table.) With two cards you can make the top card overhang the bottom one by half a card length, and the bottom one overhang the table by a third of a card length, for a total maximum overhang of 1/2+ 1/3 = 5/6 card lengths. In general you can make n cards overhang by 1/2+ 1/3+ 1/4+ ...+ 1/(n+ 1) card lengths, where the top card overhangs the second by 1/2, the second overhangs tha third by 1/3, the third overhangs the fourth by 1/4, etc., and the bottom card overhangs the table by 1/(n+ 1). This is illustrated in the figure below.
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下载文件列表
SPC1/A.txt
SPC1/B.txt
SPC1/C.txt
SPC1/D.txt
SPC1/E.txt
SPC1/F.txt
SPC1/G.txt
SPC1/I.txt
SPC1
SPC1/B.txt
SPC1/C.txt
SPC1/D.txt
SPC1/E.txt
SPC1/F.txt
SPC1/G.txt
SPC1/I.txt
SPC1
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