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ÊÁѤÃÊÁÒªÔ¡ | ¤ÙèÁ×Í¡ÒÃãªé | ÃÒª×èÍÊÁÒªÔ¡ | »¯Ô·Ô¹ | ¢éͤÇÒÁÇѹ¹Õé | ¤é¹ËÒ |
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à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ | ¤é¹ËÒã¹ËÑÇ¢é͹Õé |
#1
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¼Ô´·ÕèµÃ§ºÃ÷Ѵä˹
Let a = b
\therefore ab = b\cdot b ................ ¤Ù³´éÇ b ·Ñé§Êͧ¢éÒ§¢Í§ÊÁ¡Òà ab = b\hat a 2 -ab = -b\hat a 2 ................ ¤Ù³´éÇ -1 ·Ñé§Êͧ¢éÒ§¢Í§ÊÁ¡Òà a\hat a 2-ab = a\hat a 2-b\hat a 2 ................ºÇ¡´éÇ ab ·Ñé§Êͧ¢éÒ§¢Í§ÊÁ¡Òà a(a-b) = (a+b)(a-b) ................¡®¡ÒÃᨡᨧ a = a+b ................¡¯¡ÒõѴÍÍ¡ a = a+a ................; a = b a = 2a ................¡¯¡ÒõѴÍÍ¡ 1 = 2 ................??? Áѹ¼Ô´µÑé§áµèµÃ§ºÃ÷Ѵä˹ ªèǤԴ˹èÍ àÍÒ¾Í˹ءæ¹Ð ÍÂèÒà¤ÃÕ´!!! |
#2
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ÍéÒ§ÍÔ§:
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*1434* 4EvER =>...1434......àÅ¢¹ÕéÊÇ¡ÇèÒáÎÐ^^ |
#3
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ÊÔ觷Õè ¤Ø³ äÃéÊÁÃöÀÒ¾ µéͧ¡ÒèжÒÁà»ç¹ÍÂèÒ§¹Õé¤ÃѺ
Let $a = b$ $\therefore ab = b\cdot b$ ................ ¤Ù³´éÇ $b$ ·Ñé§Êͧ¢éÒ§¢Í§ÊÁ¡Òà $ ab = b^ 2 $ $-ab = -b^ 2 $ ................ ¤Ù³´éÇ -1 ·Ñé§Êͧ¢éÒ§¢Í§ÊÁ¡Òà $ a^ 2-ab = a^ 2-b^ 2 $ ................ºÇ¡´éÇ $a^2$ ·Ñé§Êͧ¢éÒ§¢Í§ÊÁ¡ÒÃ(á¡é¨Ò¡ $ab$ à»ç¹ $a^2$) $ a(a-b) = (a+b)(a-b)$ ................¡®¡ÒÃᨡᨧ $a = a+b$ ................¡¯¡ÒõѴÍÍ¡ $ a = a+a $ ................; $a = b$ $ a = 2a $ ................¡¯¡ÒõѴÍÍ¡ $1 = 2 $ ................??? |
#4
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ÍéÒ§ÍÔ§:
àÃÒäÁèÃÙéÇèÒ a-b à»ç¹ ºÇ¡ ËÃ×Í Åº à¾ÃÒЩйÑ鹡çäÁèÊÒÁÒöä»ËÒÃä´é.... ÁÑ駤ÃѺ ?? 55+ 16 ¾ÄȨԡÒ¹ 2009 21:15 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ RT,,Ant~* |
#5
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#4
¶éÒà»ç¹ºÇ¡ ËÃ×Í Åº ËÒÃä´é¤ÃѺ áµè¶éÒà»ç¹ 0 ËÅÐ ^^
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à˹×Í¿éÒÂѧÁÕ¿éÒáµèà˹×Í¢éÒµéͧäÁèÁÕã¤Ã »Õ¡¢Õé¼×駢ͧ»ÅÍÁ§Ñé¹ÊԹР...âÅ¡¹ÕéâË´ÃéÒ¨ÃÔ§æ ÁѹãËé¤ÇÒÁÊØ¢¡ÑºàÃÒ áÅéÇÊØ´·éÒ Áѹ¡çàÍҤ׹ä»... |
#6
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¡ç$a=b$
$a-b=0$ ¹Ð¤ÃѺ
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»ÃÔȹҷÕè¤ÅÕè¤ÅÒÂäÁèä´é...äÁèÁÕÍÂÙ躹âÅ¡¹Õéá¹è¹Í¹
17 ¾ÄȨԡÒ¹ 2009 17:26 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Imperial_X |
#7
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âÍéÐ æ .. ¢ÍÍÀÑ´éǤéÒº º T___T
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#8
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àÍÒÁÑè§ (¼Ô´µÃ§ä˹)
$ 2 = 1 + 1 = 1 + \sqrt{1} $ $ 2 = 1 + \sqrt{(-1)(-1) }= 1 + (\sqrt{-1} \sqrt{-1} )$ $2 = 1 + (i)(i) = 1 + i^2$ $2 = 1 + (-1)$ $2 = 0$
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ÁÒËÒ¤ÇÒÁÃÙéäÇéµÔÇËÅÒ¹ áµèËÅÒ¹äÁèàÍÒàÅ¢áÅéÇ à¢éÒÁÒ·ÓàÅ¢àÍÒÁѹÍÂèÒ§à´ÕÂÇ ¤ÇÒÁÃÙéà»ç¹ÊÔè§à´ÕÂÇ·ÕèÂÔè§ãËé ÂÔè§ÁÕÁÒ¡ ÃÙéÍÐäÃäÁèÊÙé ÃÙé¨Ñ¡¾Í (¡àÇ鹤ÇÒÁÃÙé äÁèµéͧ¾Í¡çä´é ËÒäÇéÁÒ¡æáËÅдÕ) (áµè¡çÍÂèÒãËéÁÒ¡¨¹·èÇÁËÑÇ àÍÒµÑÇäÁèÃÍ´) |
#9
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ÍéÒ§ÍÔ§:
$\sqrt{1}=-1$ «Öè§à»ç¹ä»äÁèä´é¤ÃѺ
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My stAtUs ·ÓäÁÂÔè§àÃÕ¹ áÅéÇÂÔè§â§èËÇèÒÒ |
#10
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ÍéÒ§ÍÔ§:
à¾ÃÒÐ $\sqrt{a^2}=$l$a$l áµè $\sqrt{a}^2=a$ à¾ÃÒЩйÑé¹ $\sqrt{a^2}\not=\sqrt{a}^2$ 㹡óշÕè a à»ç¹Åº ¨Ö§·ÓãËé $\sqrt{(-1)^2}\not=\sqrt{-1}^2$ ¼Ô´»ÃСÒÃã´ªèǪÕéá¹Ð´éǤÃѺ à¾ÃÒÐÃÙéÊÖ¡·ÐáÁè§æ
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·ÓãËéàµçÁ·Õè·ÕèÊØ´ ÂѧÁÕ·ÕèÇèÒ§àËÅ×Íà¿×ͧ͢¤¹à¡è§·Õèà¼×èÍäÇéãË餹·Õè¾ÂÒÂÒÁ ÊÙéµèÍä»... ÁѹÂѧäÁ診á¤è¹Õ |
#11
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ÍèÒ¤ÃѺ¼Á¡çàËç¹´éǤÃѺẺÇèҵç
ºÃ÷Ѵ 2/3/4 á»Å¡ææ »Å.¼ÁäÁè¤èͪÑÇÃìà·èÒäËÃè¤ÃѺ
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*1434* 4EvER =>...1434......àÅ¢¹ÕéÊÇ¡ÇèÒáÎÐ^^ 17 ¾ÄȨԡÒ¹ 2009 21:46 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 2 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ S@ndV_Vich |
#12
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áÅéÇÍѹ¹ÕéÅèÐ ¼Ô´µÃ§ä˹
(1-1) + (1-1) + ? + (1-1) + (1-1) + ? = 0 1 + (-1+1) + (-1+1) + ? + (-1+1) + ? = 0 1 + 0 + 0 +? + 0 + .. = 0 1 = 0
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ÁÒËÒ¤ÇÒÁÃÙéäÇéµÔÇËÅÒ¹ áµèËÅÒ¹äÁèàÍÒàÅ¢áÅéÇ à¢éÒÁÒ·ÓàÅ¢àÍÒÁѹÍÂèÒ§à´ÕÂÇ ¤ÇÒÁÃÙéà»ç¹ÊÔè§à´ÕÂÇ·ÕèÂÔè§ãËé ÂÔè§ÁÕÁÒ¡ ÃÙéÍÐäÃäÁèÊÙé ÃÙé¨Ñ¡¾Í (¡àÇ鹤ÇÒÁÃÙé äÁèµéͧ¾Í¡çä´é ËÒäÇéÁÒ¡æáËÅдÕ) (áµè¡çÍÂèÒãËéÁÒ¡¨¹·èÇÁËÑÇ àÍÒµÑÇäÁèÃÍ´) |
#13
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ºÃ÷Ѵ·ÕèÊͧ¤ÃѺ ¨Ó¹Ç¹¢Í§ 1 ÁѹäÁèà·èҡѺºÃ÷Ѵáá¤ÃѺ
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My stAtUs ·ÓäÁÂÔè§àÃÕ¹ áÅéÇÂÔè§â§èËÇèÒÒ |
#14
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¼Ô´·ÕèÊÕá´§¤ÃѺ
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·ÓãËéàµçÁ·Õè·ÕèÊØ´ ÂѧÁÕ·ÕèÇèÒ§àËÅ×Íà¿×ͧ͢¤¹à¡è§·Õèà¼×èÍäÇéãË餹·Õè¾ÂÒÂÒÁ ÊÙéµèÍä»... ÁѹÂѧäÁ診á¤è¹Õ |
#15
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ÍéÒ§ÍÔ§:
´ÙÃÒÂÅÐàÍÕ´à¾ÔèÁàµÔÁä´é·Õè¹Õè¤ÃѺ http://en.wikipedia.org/wiki/Absolute_convergence
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I am _ _ _ _ locked 19 ¾ÄȨԡÒ¹ 2009 06:51 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ t.B. |
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