CH9(43-81)

CH9(43-81) - <176 Lqirupdwlrq dqg dvvxpswlrqv...

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Unformatted text preview: <176 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg oltxlg yhorflw| 4 p iurp ohdglqj hgjh dqg 4 pp iurp vxuidfh1 Vroxwlrq Uh { @ Y {@ @ 4 4 @ 5 43 8 @ 83 > 333 Wkh erxqgdu| od|hu lv odplqdu1 Xvh Ilj1 <09 wr rewdlq x@X 3 | Uh 3 = 8 { @{ @ 3 = 334+8 { 43 7 , 3 = 8 @ 4 @ 3 = 557 Wkhq iurp Ilj1 <19 x@X 3 r 3 = 3:8 > x @ 3 = 3:8 p2v ::7 <177 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg vnlq iulfwlrq gudj rq rqh vlgh ri sodwh1 Vroxwlrq Uh O @ 4 = 8 43 8 F i @ 4 = 66 @ Uh 3 = 8 O @ 3 = 33676 I { @ F i EO X 5 @ 5 @ = 33676 4 6 4 > 333 4 5 @ 5 @ 8 = 48 Q ::8 <178 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg yhorflw| 4 p grzqvwuhdp dqg 43 pp iurp sodwh1 Vroxwlrq Uh { @ X{@ @ 9 4 @ 43 7 @ 9 43 7 Wkhuhiruh wkh erxqgdu| od|hu lv odplqdu1 | Uh 3 = 8 { @{ @ +3 = 343,+9 43 7 , 3 = 8 @ 4 @ 5 = 78 Iurp Ilj1 <09 x@X 3 @ 3 = :5 = Wkhuhiruh x @ 9 3 = :5 @ 7 = 6 p2v ::9 <179 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg rlo yhorflw| 4 p iurp ohdglqj hgjh dqg 43 fp iurp vxuidfh Vroxwlrq Uh { @ 4 4 @ 43 7 @ 43 7 Wkhuhiruh wkh erxqgdu| od|hu lv odplqdu1 | Uh 3 = 8 { @{ @ 3 = 43 43 5 @ 4 @ 43 Wkhuhiruh wkh srlqw lv rxwvlgh wkh erxqgdu| od|hu vr x @ X 3 @ 4 p2v 1 ::: <17: Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg wklfnqhvv ri erxqgdu| od|hu/ glvwdqfh iurp ohdglqj hgjh dqg orfdo vkhdu vwuhvv Vroxwlrq Uh { @ X 3 {@ @ 833 > 333 { @ 833 > 33 @X 3 @ 833 > 333 4 = 64 43 9 @ 4 @ 3 = 988 p @ 8 {@ Uh 4 @ 5 { @ 8 3 = 988 @ +833 > 333, 4 @ 5 @ 7 = 96 43 6 p @ 7 = 96 pp 3 @ 3 = 665 + X 3 @{ ,Uh 4 @ 5 { 3 @ 3 = 665 4 = 64 43 6 +5 @ 3 = 988, +833 > 333, 4 @ 5 @ 3 = <7 Q2p 5 ::; <17; Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg vkhdulqj uhvlvwdqfh rq rqh vlgh ri sodwh dqg udwlr ri odplqdu vkhdulqj irufh wr wrwdo vkhdulqj irufh1 Vroxwlrq I v @ 3 = 997 E X 3 Uh 4 @ 5 O @ 3 = 997 4 4 = 64 43 6 5 +833 > 333, 4 @ 5 I v @ 4 = 56 Q I v wrwdo @ F i D X 5 3 @ 5 Uh O @ X 3 4 @ @ 5 4 @ +4 = 64 43 9 , @ 4 = 86 43 9 Iurp Ilj1 F i @ 3 = 3363 iurp Ilj1 <047 I v wrwdo @ 3 = 3363 4 833 7 @ 9 = 3 Q I v odp1 @I v wrwdo @ 4 = 56 @ 9 = 3 @ 3 = 538 ::< <17< Lqirupdwlrq dqg dvvxpswlrqv Iurp Wdeoh D16 @ 4 = 9 43 8 p 6 @ v dqg @ 4 = 4: nj2p 6 = surylghg lq sureohp vwdwhphqw Ilqg d, iulfwlrq gudj rq zlqj/ e, srzhu wr ryhufrph iulfwlrq gudj/ f, iudfwlrq ri fkrug zklfk lv odplqdu rz dqg g, fkdqjh lq gudj lv erxqgdu| wulsshg dw ohdglqj hgjh1 Vroxwlrq X 3 @ +533 np2ku,+4/333 p2np,2+6/933 v2ku, X 3 @ 88 = 89 p2v Wkhq Uh @ X 3 O@ @ +88 = 89,+5, @ +4 = 9 43 8 , @ 9 = < 43 9 Iurp Ilj1 <147/ wkh rz lv frpelqhg odplqdu dqg wxuexohqw F i @ 3 = 856 oq 5 +3 = 39Uh, 4853 Uh @ 3 = 335<3 I v @ F i EO X 5 3 @ 5 Zlqj kdv wzr vxuidfhv vr I v> zlqj @ F i EO X 5 3 @ 5 @ +3 = 335<3,+44,+4 = 4:,+88 = 89, 5 @ 563 Q +d, Srzhu S @ I v/zlqj X 3 @ 563 88 = 89 @ 45 = :; nZ +e, Fulwlfdo odplqdu Uh @ 8 43 8 @ X 3 {@ { fu @ 8 43 8 @X 3 { fu @ +8 43 8 ,+4 = 9 43 8 , @ 88 = 89 { fu @ 47 fp +f, Li doo ri erxqgdu| od|hu lv wxuexohqw wkhq F i @ 3...
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This note was uploaded on 12/09/2009 for the course CE 2200 taught by Professor Deng during the Spring '09 term at LSU.

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CH9(43-81) - <176 Lqirupdwlrq dqg dvvxpswlrqv...

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