#1
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ªÇ¹¤Ô´
ÅͧºÍ¡¤èҢͧ $ a,b,c $ ã¹ÊÁ¡ÒÃ
$ a^2+b^2=c^2 $ ÅͧºÍ¡¤èÒÁÒãËéÁÒ¡·ÕèÊØ´ ¶éÒÁÕÇÔ¸Õ¤Ô´ ºÍ¡ÁÒ¡çä´é¹Ð (ÍÙë) 05 ÁÕ¹Ò¤Á 2006 21:06 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ au |
#2
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ÁÕÊÙµÃàÅÂÅèФÃѺ ÍÂÒ¡¨Ðä´éÁÒ¡à·èÒäáçá·¹¤èÒä´éµÒÁʺÒÂ
ÊÒÁàËÅÕèÂÁ»Õ·Òâ¡ÃÑÊ ¶éÒÍèÒ¹äÁèà¢éÒ㨠¶ÒÁä´é¤ÃѺ.
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The Lost Emic <<-- ˹ѧÊ×Íà©Å¢éÍÊͺÃдѺ»ÃжÁ¹Ò¹ÒªÒµÔ EMIC ¤ÃÑ駷Õè 1 - ¤ÃÑ駷Õè 8 ªØ´ÊØ´·éÒ ËŧÁÒ 10 Á¡ÃÒ¤Á 2006 17:53 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ gon |
#3
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ËÒ¡ËÁÒ¶֧ $a^2+b^2=c^2$ ÅСç ÁÕ¤èÒ·ÕèÊÍ´¤ÅéͧÁÒ¡ÁÒÂäÁè¨Ó¡Ñ´¤ÃѺ ¡ÅèÒǤ×Í àÁ×èÍ m,n à»ç¹¨Ó¹Ç¹àµçÁºÇ¡·Õè m>n àÃÒÊÒÁÒö᷹ m,n ã¹ $a=m^2-n^2,\ b=2mn,\ c=m^2+n^2$ ä´é¤ÃѺ àªè¹ ¨Ò¡ m=2, n=1 ¨Ðä´é a=3, b=4, c=5 à»ç¹µé¹ (ÁÕÊÙµÃẺ¹ÕéÍÕ¡ËÅÒÂÃٻẺ ÅͧËҴٹФÃѺ ^_^)
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¤¹ä·ÂÃèÇÁã¨ÍÂèÒãªéÀÒÉÒÇÔºÑµÔ ½Ö¡¾ÔÁ¾ìÊÑÅѡɳìÊÑ¡¹Ô´ ªÕÇÔµ(¤¹µÍºáÅФ¹¶ÒÁ)¨Ð§èÒ¢Öé¹àÂÍÐ (¨ÃÔ§æ¹Ð) Stay Hungry. Stay Foolish. |
#4
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¢Íº¤Ø³ÁÒ¡¤ÃѺ¤Ø³ nongtum ¼Á¢Í¶ÒÁÇèÒ 2mn ¤×ÍÍÐääÃѺ
(ÍÙë) |
#5
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$2mn=2\times m\times n$ ¤ÃѺ
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¤¹ä·ÂÃèÇÁã¨ÍÂèÒãªéÀÒÉÒÇÔºÑµÔ ½Ö¡¾ÔÁ¾ìÊÑÅѡɳìÊÑ¡¹Ô´ ªÕÇÔµ(¤¹µÍºáÅФ¹¶ÒÁ)¨Ð§èÒ¢Öé¹àÂÍÐ (¨ÃÔ§æ¹Ð) Stay Hungry. Stay Foolish. |
#6
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¢Íº¤Ø³ÁÒ¡¤ÃѺ ÊÓËÃѺ¤ÓµÍº ·Ñ駤س gon áÅÐ nongtum (ÁÕÊÙµÃÁÒ¡æ´ÕáÅéÇ ¨Ðä´éËÒä´éàÂÍÐæ)
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#7
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a=2000003 b=2000006000004 c=2000006000005 äÁèÁÒ¡ËÃÍ¡¤Ñºáµèãªéä´é
¹Ñè§ËÒàÍÒÍФÃѺ a=3+(n-1)2 b=4+(n-1)8+[(n-1)(n-2)/2]4 c=b+1 n=ÍÐäáçä´é·Ø¡ªèͧµéͧãÊèãËéàËÁ×͹¡Ñ¹ /=à¤Ã×èͧËÁÒÂËÒà |
#10
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¤ÓµÍº¢Í§ $a^2+b^2+c^2=d^2$ ´Ùä´é·ÕèàÃ×èͧ Pythagorean Quadruple ¤ÃѺ
ÊÓËÃѺ¤ÓµÍº¢Í§ $a^3+b^3+c^3=d^3$ ÅͧãªéÊٵâͧ Ramanujan ·ÕèãËé $a=3m^2+5mn-5n^2$ $b=4m^2-4mn+6n^2$ $c=5m^2-5mn-3n^2$ $d=6m^2-4mn+4n^2$ áµèäÁèÃÙéÊٵùÕé¤ÅØÁ¤Ãº·Ø¡¤ÓµÍºËÃ×Íà»ÅèҹФÃѺ |
#11
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¤Ø³ warut ¤ÃѺ $ m,n $ ·ÕèÇèÒ¤×ÍÍÐääѺ
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#12
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ÍéÒ§ÍÔ§:
$ a=3+\Big((n-1) \times 2\Big) $ $ b=4+\Big((n-1) \times 8\Big)+\Bigg(\bigg(\Big((n-1) \times (n-2)\Big) \div 2\bigg) \times 8\Bigg) $ $ c=b+1 $ |
#13
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ÍéÒ§ÍÔ§:
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#14
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§Ñé¹¼Á¢Í¶ÒÁÇèÒ 4^25 * 5^46 ÁÕ¤èÒà·èÒäÃ
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Mathematics |
#15
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ÍéÒ§ÍÔ§:
$ 4^{25} \times 5^{46} $¤ÃѺ |
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