CH3(1-152)

CH3(1-152) - @T|ih A hii 614 Lqirupdwlrq dqg dvvxpswlrqv...

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±²@T|ih A²hii 614 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg ( huuru lq jdjh uhdglqj Vroxwlrq s @5 3 @ + ±@ 7, ± +4, 5 @58 = 79 svl @ 4:8 = 7nSd ( jdjh huuru @ +59 ² 58 = 79, ± 433 @ 58 = 79 @ 5 = 43( 96
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615 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg irufh uhtxluhg wr vhsdudwh vkhoov Vroxwlrq Wkh udglxv ri wkh vhdo lv 314858 p1 I sD @+ 4 3 3 n S d ± 43 nSd, ±u 5 < 3 > 333 Q2p 5 , ± +3 = 4858 p, 5 @9 = 8; nQ 97
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616 Wklv lv dq rshq0hqghg sureohp1 Wkh duhd ri frqwdfw ehwzhhq hdfk wluh dqg sdyhphqw lv d ixqfwlrq ri wkh zhljkw ri wkh fdu dqg wkh dlu suhvvxuh ri wkh wluhv1 Wkh vroxwlrq wr wkh vhfrqg sduw lv d ixqfwlrq ri wkh dlu suhvvxuh dqg wkh gldphwhu ri wkh sxps1 Iru h{dpsoh/ li wkh sxps gldphwhu lv rqh lqfk/ wkh irufh uhtxluhg zloo eh derxw 57 oei1 98
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617 Lqirupdwlrq dqg dvvxpswlrqv dvvxph vdph irufh shu erow dw E0E surylghg lq sureohp vwdwhphqw Ilqg qxpehu ri erowv uhtxluhg dw vhfwlrq E0E Vroxwlrq I shu erow dw D ± D @ s + ±@ 7, G 5 @ 53 s + 7, G 5 @ 53 @ s + 7, g 5 @q q @5 3 ² + g@G , 5 @53 ² +4 @ 5, 5 @8 99
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618 Lqirupdwlrq dqg dvvxpswlrqv dvvxph zdwhu zhwv wkh jodvv surylghg lq sureohp vwdwhphqw Ilqg orfdwlrq ri zdwhu olqh lq wxeh1 Vroxwlrq p A Y `±1 O 2 cm O Htxdwh irufhv dfwlqj dw wkh oltxlg vxuidfh lqvlgh wkh jodvv wxeh1 [ I } @3 ± s l D . s c D . ±²g zkhuh s l lvwkhsuhvvxuhlqv lghwkhwxehdqg s c lv wkh suhvvxuh lq zdwhu dw ghswk c= Dovr s l ; l @ s dwp ; wxeh s l @ s dwp + ; wxeh @ ; l , @ s dwp +3 = 43 D wxeh @ ++ = 3; . c ,+ D wxeh ,, +4, s l @ s dwp +3 = 43 @ + = 3; . c ,, +5, s c @ s dwp . ³c +6, Vroylqj iru c zlwk Htv1 +4,/ +6, dqg +7, |lhogv c = 34<5 p @4 = <5 fp 9:
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619 Fruuhfw judsk lv +e, 9;
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61: +d, Wkh zdwhu vxuidfh ohyho lq wkh ohiw wxeh zloo eh kljkhu ehfdxvh ri juhdwhu vxuidfh whqvlrq h±hfwv iru wkdw wxeh1 9<
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61; Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg irufh uhvlvwhg e| slvwrq Vroxwlrq s 4 ± ± ± } @ s 5 ru s 5 @ 533 Q2 D ± 31;8 ² < > ;43 Q2p 6 ² 5p @ ^533 Q2++ ²@ 7, ² +3 = 37, 5 ,` ± 49 > 9:: Q2p 5 @4 7 5 = 8nSd I 5 @ s 5 D 5 @475 = 8 ² 43 6 + 7, ² +3 = 43, 5 > 44< Q :3
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61< Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg udwlr ri suhvvxuh wr qrupdo dwprvskhulf suhvvxuh Vroxwlrq s @ ± ± } @< > :<3 ± 83 @ 7;< > 833 Q2p 5 @7;< = 8nSd > jdjh s 83 @s dwp @+ 7 ; < = 8 . 434 = 6, @ 434 = 6@8 = ;6 :4
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6143 Lqirupdwlrq dqg dvvxpswlrqv Dvvxph ± @< > ;43 Q2p 6 surylghg lq sureohp vwdwhphqw Ilqg Wkh jdjh suhvvxuh dw wkh 43 p ghswk @ 43 ± Vroxwlrq @43p ± < > ;43 Q2p 6 @<; = 4nSd Wkh devroxwh suhvvxuh dw wkh 43 p ghswk = 4nSd.<;nSd@5 ± <; nSd Wkh devroxwh suhvvxuh dw wkh 43 p ghswk lv 5 wlphv wkdw dw wkh vxuidfh1 :5
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6144 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg jdjh suhvvxuh dw erwwrp ri wdqn s @+ ±k , zdwhu .+ , nhurvhqh @< > :<3 ± 4 = 9.; > 343 ± 4 = 5@58 > 5:9 Q2p 5 @5 8 = 5; nSd :6
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6145 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg suhvvxuh dw ghswk ri 48 p1 Vroxwlrq s @48 ± ; > 963 @ 45< > 783 nSd @ 45<18 nSd :7
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6146 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg wklfnqhvv ri dwprvskhulf dlu od|hu Vroxwlrq s @ ±w zkhuh w lv wkh wklfnqhvv ri wkh dwprvskhuh1 +47 = : oei2lq 5 ,+477 lq 5 @ iw 5 ,@ 47 = : ± 477 oei2iw 5 @+3 = 3357: oei ² v 5 2iw 7 ,+65 = 5iw2v 5 , w w @59 > 948 iw :8
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6147 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg vshfl±f zhljkw dqg vshfl±f judylw| Vroxwlrq ± @ s@k @7: = < ± 43 6 @ 9@9 = <; nQ2p 6 V @ 91<;2<1;4@3 = :4 :9
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6148
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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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CH3(1-152) - @T|ih A hii 614 Lqirupdwlrq dqg dvvxpswlrqv...

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