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p169to216TFEx - FDOFXOXV DQG LWV DSSOLFDWLRQV Qdph= Ilqdo...

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FDOFXOXV DQG LWV DSSOLFDWLRQV Qdph= Ilqdo H{dp/ Irup D 41 Zulwh dq htxdwlrq ri wkh olqh zlwk vorsh ± ± e dqg frqwdlqlqj wkh srlqw +8 > ± 5, = 41 51 Iru i + { , @ 8 { 2 ± 5 / ±qg wkh vlpsol±hg gl²huhqfh txrwlhqw1 51 61 +d, Judsk= i + { , @ + { 2 . 4 > iru { ' @ 3 > 3 > iru { @ 3 = 61 +d, +e, Ilqg olp % < f i + { , = +e, +f, Ilqg i +3, = +f, +g, Lv i frqwlqxrxv dw 3B +g, Ilqg wkh olplw/ li lw h{lvwv1 71 olp % <3 2 ± 5 { D . { ± . 7 ² 71 81 olp % < f 8 { 81 91 olp % < ± { ± 6 { 2 . { ± 45 91 :1 olp % <" 4 { 2 :1 49<
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4:3 FDOFXOXV DQG LWV DSSOLFDWLRQV Ilqdo H{dp/ Irup D Gl±huhqwldwh1 ;1 | @ { ± ± 7 { . 8 ;1 <1 | @ { D * S <1 431 i + { , @ { 3 S 431 441 i + { , @ + { . 5, + { ± 6, e 441 451 i + { , @ 6 { . 7 { 2 ± 5 451 461 | @ oq ± { ± . { . 4 ² 461 471 | @ 8 h % 471 481 | @ h % 2 n2 % 481 491 i + { , @ 7 +5 { . 4, D 491 4:1 Iru | @ 43 { ± . 7 { / ±qg g 2 | g{ 2 1 4:1 4;1 Gl²huhqwldwh lpsolflwo| wr ±qg g| g{ li { e ± 5 {| ± @ 6 = 4;1 4<1 Ilqg dq htxdwlrq ri wkh wdqjhqw olqh wr wkh judsk ri | @ 5 h % . { ± ± 7 dw wkh srlqw +3 > ± 5, 1 4<1
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4:5 FDOFXOXV DQG LWV DSSOLFDWLRQV Ilqdo H{dp/ Irup D 561 i + { , @ 7 { 2 ± 7 561 Ilqg wkh devroxwh pd{lpxp dqg plqlpxp ydoxhv/ li wkh| h{lvw/ ryhu wkh lqglfdwhg lqwhuydo1 Li qr lqwhuydo lv lqglfdwhg/ xvh wkh uhdo olqh1 571 i + { , @ 7 { 2 ± 6 { . 5 571 581 i + { , @ ± 5 { . : 581 591 i + { , @ 4 6 { ± . { 2 ± ; { . 5 > ^ ± 4 > 6` 591 5:1 Exvlqhvv= Pd{lpl}lqj Sur±w1 Iru d fhuwdlq surgxfw/ wkh wrwdo0uhyhqxh dqg wrwdo0frvw ixqfwlrqv duh jlyhq e| U + { , @ 63 { ± 3 = 6 { 2 dqg F + { , @ 3 = 5 { 2 . 8 { 1 Ilqg wkh qxpehu ri xqlwv wkdw pxvw eh surgxfhg dqg vrog lq rughu wr pd{lpl}h sur±w1 5:1 5;1 Exvlqhvv= Plqlpl}lqj Lqyhqwru| Frvwv1 D vkrh vwruh vhoov ;33 sdluv ri vqhdnhuv shu |hdu1 Lw frvwv '5 wr vwruh rqh sdlu iru rqh |hdu1 Wr rughu vqhdnhuv wkhuh lv d ±{hg frvw ri '; soxv '5 iru hdfk sdlu1 Krz pdq| wlphv shu |hdu vkrxog wkh vwruh uhrughu vqhdnhuv/ dqg lq zkdw orw vl}h/ lq rughu wr plqlpl}h lqyhqwru| frvwvB 5;1
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4:7 FDOFXOXV DQG LWV DSSOLFDWLRQV Ilqdo H{dp/ Irup D 671 ] 4 I { 2 ± 58 g{ +Xvh Wdeoh 41, 671 681 ] { 2 h % ± n g{ +Xvh vxevwlwxwlrq1 Gr qrw xvh Wdeoh 41, 681 691 ] + { ± 5, oq { g{ 691 6:1 ] 4; { g{ 6:1 6;1 ] H 5 ± I { g{ 6;1 6<1 Ilqg wkh duhd xqghu wkh judsk ri | @ { ± . 5 { ryhu wkh lqwhuydo ^4 > 6` = 6<1 731 Exvlqhvv= Suhvhqw Ydoxh1 Ilqg wkh suhvhqw ydoxh
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