Mm n f d dh n n d mm n f d zkhuh f f n f2 n f

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Unformatted text preview: D *? m{m n F D zkhuh F ' F n F2 n F 1 : ; Lqwhjudwlrq e| Sduwv Lqwhjudwlrq e| sduwv lv wkh lqyhuvh ri wkh surgxfw uxoh Exy 3 ' x3y n xy 3 iru ixqfwlrqv x E{ / y E{ 1 Zh fdq uhzulwh wklv dv x3y ' Exy 3 ru x3yg{ ' xy xy 3 xy 3g{ vlqfh xy lv wkh dqwlghulydwlyh ri Exy 31 Uhpdun= Irupxod qrw v|pphwulf zlwk uhvshfw wr wkh idfwruv H{dpsoh {2h{g{ dqg x ' h{1 Wkhuhiruh Vhw y ' {2 dqg x3 ' h{1 Wkhq y 3 ' 2{] {2h{g{ ' {2h{ 2 {h{g{= Wr vroyh wkh odvw lqwhjudo vhw y ' { dqg x3 ' h{1 Wkhq y 3 '  dqg x ' ] {1 Wkhuhiruh h {g{ ' {h{ {h  h{g{ ' {h{ h{ n F dqg ryhudoo < H{dpsoh {2h{g{ Wu| x3 ' {2/ y ' h{1 Wkhq x '  { dqg y 3 ' h{ dqg wkhuhiruh e| lqwhjudwlrq e| sduwv  2h{g{ '  { h{ { h{g{ { Wklv grhv qrw vlpsoli| pdwwhuv1 44 {2h{g{ ' {2h{ 2{h{ n 2h{ F 43 Lqwhjudwlrq e| UVxevwlwxwlrq U D{n2  g{ 'q1 g{ 'q ru h 2{ Gl huhqwldwlqj | ' dhD{n2 jlyhv | 3 ' DdhD{n2 dffruglqj wr wkh g| fkdlq uxoh= Vhw x ' D{ n 21 Wkhq gx ' D/ | ' dhx/ g{ ' dhx dqg g{ g| g| gx ' ' dhx D ' DdhD{n2= g{ gx g{ Khqfh  hD{n2g{ ' hD{n2 n F D Vlploduo| *? m 2{m kdv wkh ghulydwlyh 2{ E 2 dqg khqfh ...
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