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à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ | ¤é¹ËÒã¹ËÑÇ¢é͹Õé |
#1
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Pre-Adminssion ͹ءÃÁµÃÕ⡳ÁÔµÔ
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1 + acosx + a2cos2x + a3cos3x + ... = k ¢éÍã´¶Ù¡ 1) k = $ \large\frac{acosx}{1 - 2acosx + a^{2}} $ 2) k = $ \large\frac{1 - acosx}{1 - 2acosx + a^{2}} $ 3) k = $ \large\frac{1 - asinx}{1 - 2acosx + a^{2}} $ 4) k = $ \large\frac{1 - asinx}{1 - 2asinx + a^{2}} $ ªèÇÂáÊ´§ÇÔ¸Õ¤Ô´´éǹФÃѺ ¢Íº¤Ø³ÁÒ¡¤ÃѺ
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A Problem Always Has A Solution |
#2
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Guide
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âÅ¡¹ÕéÁÕ¤¹ÍÂÙè 10 »ÃÐàÀ· ¤×Í ¤¹·Õèà¢éÒã¨àÅ¢°Ò¹Êͧ áÅФ¹·ÕèäÁèà¢éÒ㨠|
#3
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¢Íº¤Ø³¤ÃѺ áÅéÇÁÕÇÔ¸Õ·ÕèäÁèµéͧãªé euler identity »èÒǤѺ Áѹá¤è pre admisàͧÍèÒ µéͧãªé¢¹Ò´¹ÕéàÅÂàËÃͤÃѺ ¼ÁÂѧäÁè¤èÍÂÃÙéàÃ×èͧàÅ - -
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A Problem Always Has A Solution |
#4
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Likewise
$$\sum_{n=1}^{\infty} r^n\cos(n\theta)=\frac{r\cos\theta-r^2}{1-2r\cos\theta+r^2}$$ ÇÔ¸ÕÍ×è¹¼Á¡çäÁè·ÃÒºáÅéÇÅèФÃѺ
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âÅ¡¹ÕéÁÕ¤¹ÍÂÙè 10 »ÃÐàÀ· ¤×Í ¤¹·Õèà¢éÒã¨àÅ¢°Ò¹Êͧ áÅФ¹·ÕèäÁèà¢éÒ㨠|
#5
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àÍèÍáµèÇèÒ͹ءÃÁÁѹàÃÔèÁµÑé§áµè1¹Ô¤ÃѺ áµè·ÕèàÍÒÁÒÁѹàÃÔèÁ¨Ò¡ acosxàŹԤÃѺ ªèÇ´ٷդÃѺ
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A Problem Always Has A Solution |
#6
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1 + (͹ءÃÁµÑǹÑé¹) = k
k = (͹ءÃÁµÑǹÑé¹) $ + \frac{1-2a\cos x +a^2}{1-2a\cos x +a^2} $ ËÇѧÇèÒ¤§·ÓµèÍàͧä´é¹Ð¤ÃѺ
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âÅ¡¹ÕéÁÕ¤¹ÍÂÙè 10 »ÃÐàÀ· ¤×Í ¤¹·Õèà¢éÒã¨àÅ¢°Ò¹Êͧ áÅФ¹·ÕèäÁèà¢éÒ㨠|
#7
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Í×ÁÁÁÁ ¹Õè¢éÍÊͺ pre-admission á¹èÃÖà»ÅèÒ¤ÃѺ ¶éÒá¹è¹Í¹¼Á¨ÐÅͧËÒÇÔ¸ÕÁѸÂÁ´Ù
¨Ò¡¡ÒâÕé⡧ãªé Z-transform ÁҤѺ ¨Ðä´éÇèÒ \[ \sum_{n=0}^{\infty}a^n\cos (nx) = \frac{1-a \cos (x)}{1-2\cos (x) + a^2} \] note : ¶éÒäÁèµÃ§¹éͧ¡Ñº mastermander Åͧàªç¤´ÙÍÕ¡·Õ¹Ð¤ÃѺ (à¾ÃÒоÕèäÁèÃÙéÇèÒ¹éͧµÍºÍѹä˹) á¡éä¢áÅéǤÃѺ
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PaTa PatA pAtA Pon! 03 µØÅÒ¤Á 2006 17:02 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ M@gpie |
#8
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à»ç¹ pre-admis ¢Í§¢éÍÊͺ¾×é¹°Ò¹ÇÔÈÇÍèФÃѺ ·ÓäÁÁѹ¶Ö§ÂÒ¡Âѧ§ÕéÅÐ Áѹ¹èÒ¨Ðà¡Ô¹¤ÇÒÁÃÙéÁѸÂÁ»èÒǤÃѺ - -
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A Problem Always Has A Solution |
#9
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ÍéÒ§ÍÔ§:
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âÅ¡¹ÕéÁÕ¤¹ÍÂÙè 10 »ÃÐàÀ· ¤×Í ¤¹·Õèà¢éÒã¨àÅ¢°Ò¹Êͧ áÅФ¹·ÕèäÁèà¢éÒ㨠|
#10
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¼Á¤Ô´ä´é¢éÍ2¤ÃѺ
¤Ô´â´Âá·¹¤èÒ x= 90 㹤ӶÒÁ ¨Ðä´é \( 1+0-a^{2}+0+a^{4}+0-a^{6}+... \) ä´é k= \( 1-a^{2}+a^{4}-a^{6}+a^{8}+... \) à»ç¹Í¹Ø¡ÃÁ r= \( -a^{2} \) ͹ءÃÁ͹ѹµì \(k= \frac{1}{1+a^{2}} \) ¼Áá·¹¤èÒ x=90ŧ㹤ӵͺ·Ñé§4¢éÍ ¢éÍ·Õèä´é¤×Í¢éÍ2¤ÃѺ
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1+1 ºÒ§¤ÃÑé§ äÁèà·èҡѺ2 |
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Pre-Adminssion ºÑ³±Ôµá¹Ðá¹Ç ¿Ñ§¡ìªÑ¹ | prachya | ¢éÍÊͺã¹âçàÃÕ¹ Á.»ÅÒ | 3 | 03 µØÅÒ¤Á 2006 00:40 |
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