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ÊÁѤÃÊÁÒªÔ¡ ¤ÙèÁ×Í¡ÒÃãªé ÃÒª×èÍÊÁÒªÔ¡ »¯Ô·Ô¹ ¢éͤÇÒÁÇѹ¹Õé

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  #1  
Old 25 ¾ÄȨԡÒ¹ 2007, 11:23
thicket_M thicket_M äÁèÍÂÙèã¹Ãкº
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⨷ÂìÅѡɳйÕé ÁÕÇÔ¸Õ¤Ô´ÍÂèÒ§ääÃѺ
1.$16^3\times 5^{41} àÁ×èÍà¢Õ¹ãËéÍÂÙèã¹ÃÙ» A\times 10^n â´Â·Õè 1\leq A < 10 áÅÐ n à»ç¹¨Ó¹Ç¹àµçÁ
áÅéÇ n ÁÕ¤èÒà·èҡѺà·èÒäà ( 38,40,42,44 ) $

2.$µÑÇàÅ¢·Õèà¢Õ¹᷹¨Ó¹Ç¹ 8^{16} \times 5^{41} ÁÕ¡ÕèËÅÑ¡ ( 41,42,43,44 )$
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #2  
Old 25 ¾ÄȨԡÒ¹ 2007, 13:58
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teamman teamman äÁèÍÂÙèã¹Ãкº
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ÊÓËÃѺ ¢éÍ 1
áµè ÇÔ¸Õ¤Ô´ ãËéÅͧ á¡ 16^3 *5^41
¨Ðä´éà»ç¹ 2^12 * 5^41
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Êèǹ¢éÍ 2 ¡ç·Óàªè¹à´ÕÂǡѹ¡Ñº¢éÍ 1 á¡ 8^16 à»ç¹ 2^48 áÅÐ 5^41
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25 ¾ÄȨԡÒ¹ 2007 13:59 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ teamman
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #3  
Old 25 ¾ÄȨԡÒ¹ 2007, 18:03
¨ÍÁÂØ·¸áË觺éҹ˹ͧà¢é ¨ÍÁÂØ·¸áË觺éҹ˹ͧà¢é äÁèÍÂÙèã¹Ãкº
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Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 25 ¾ÄȨԡÒ¹ 2007
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¨ÍÁÂØ·¸áË觺éҹ˹ͧà¢é is on a distinguished road
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HINT -¢éÍ 1 áÅÐ ¢éÍ 2 ãªéËÅÑ¡à´ÕÂǡѹ
ãËéà»ÅÕè¹àÅ£ 5 à»ç¹ 10/2 ¡ç¨Ðä´é 10 ¡ÓÅѧ 41 / 2 ¡ÓÅѧ 41
¨Ò¡¹Ñé¹ à»ÅÕè¹ 16 ¡ÓÅѧ 3 à»ç¹ 2 ¡ÓÅѧ 12
à¡çº 10 ¡ÓÅѧ 41 äÇéà¢Õ¹àÅ¢ÊÑ­¡Ã³ÇÔ·ÂÒÈÒʵÃì

25 ¾ÄȨԡÒ¹ 2007 18:05 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ ¨ÍÁÂØ·¸áË觺éҹ˹ͧà¢é
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #4  
Old 25 ¾ÄȨԡÒ¹ 2007, 20:12
ËÂÔ¹ËÂÒ§'s Avatar
ËÂÔ¹ËÂÒ§ ËÂÔ¹ËÂÒ§ äÁèÍÂÙèã¹Ãкº
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ÍéÒ§ÍÔ§:
¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ thicket_M View Post
⨷ÂìÅѡɳйÕé ÁÕÇÔ¸Õ¤Ô´ÍÂèÒ§ääÃѺ
1.$16^3\times 5^{41} àÁ×èÍà¢Õ¹ãËéÍÂÙèã¹ÃÙ» A\times 10^n â´Â·Õè 1\leq A < 10 áÅÐ n à»ç¹¨Ó¹Ç¹àµçÁ
áÅéÇ n ÁÕ¤èÒà·èҡѺà·èÒäà ( 38,40,42,44 ) $
¼ÁÇèÒ µÑÇàÅ×Í¡¢Í§¤ÓµÍº¹èÒ¨ÐäÁèÁÕµÑÇàÅ×Í¡·Õè¶Ù¡µéͧ ¶éÒ⨷Âìà»ç¹µÒÁ¹Õé ¼Á¤Ô´ä´é n =...
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #5  
Old 26 ¾ÄȨԡÒ¹ 2007, 19:13
thicket_M thicket_M äÁèÍÂÙèã¹Ãкº
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¢éÍ 2 ¼Á¤Ô´ä´éáÅéǤÃѺ ä´é 44
áµè¢éÍ 1 §§µÃ§·Õè ¼Á¤Ô´ä´é $\frac{1}{2^{29}} \times 10^{41} $ áÅéÇ·Ó䧵èͤÃѺ
¢Íº¤Ø³¤ÃѺ
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #6  
Old 26 ¾ÄȨԡÒ¹ 2007, 19:32
teamman's Avatar
teamman teamman äÁèÍÂÙèã¹Ãкº
ºÑ³±Ôµ¿éÒ
 
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ªéÍáá¼Á¡ç¤Ô´ä´éàËÁ×͹¤Ø³ËÂÔ¹ËÂÒ§àËÁ×͹¡Ñ¹¤Ñº
Êèǹ¢éÍ 2 ¼Á¤Ô´ä´é 44 ¤ÃѺ
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µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #7  
Old 26 ¾ÄȨԡÒ¹ 2007, 19:45
ËÂÔ¹ËÂÒ§'s Avatar
ËÂÔ¹ËÂÒ§ ËÂÔ¹ËÂÒ§ äÁèÍÂÙèã¹Ãкº
¡ÃкÕè¨Ñ¡ÃÇÒÅ
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 06 Á¡ÃÒ¤Á 2007
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ÍéÒ§ÍÔ§:
¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ thicket_M View Post
áµè¢éÍ 1 §§µÃ§·Õè ¼Á¤Ô´ä´é $\frac{1}{2^{29}} \times 10^{41} $ áÅéÇ·Ó䧵èͤÃѺ
¢Íº¤Ø³¤ÃѺ
$\frac{1}{2^{29}} \times 10^{41} $ = $\frac{1}{2^{10}*2^{10}*2^{9}} \times 10^{41} $
$= \frac{1}{1024*1024*512} \times 10^{41} $
$= \frac{1}{1.024*1.024*5.12} \times 10^{41} \times 10^{-3}\times10^{-3}\times10^{-2 }$
áµè $ 5<1.024*1.024*5.12 < 6$ ´Ñ§¹Ñé¹ $0.167< \frac{1}{1.024*1.024*5.12} <0.2$
ãËé $\frac{1}{1.024*1.024*5.12}\approx 0.18$
$= \frac{1}{1.024*1.024*5.12} \times 10^{41} \times 10^{-3}\times10^{-3}\times10^{-2 } \approx 0.18 \times 10^{33}$
$=1.8\times 10^{32}$
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
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