M 2m kdv wkh ghulydwlyh 2 e 2 dqg khqfh g m 2m

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Unformatted text preview:  g{ ' *? m 2{m n F= 2{ 2 45 Pruh jhqhudoo|/ lqwhjudwlrq e| vxevwlwxwlrq gx g{ ' j Ex gx j Ex E{ g{ lv wkh lqyhuvlrq ri wkh fkdlq uxoh1 Wklv fdq eh vhhq dv iroorzv= g| Vxssrvh | ' J Ex lv dq dqwlghulydwlyh ri j Ex / l1h1/ gx ' j Ex 1 Ohw x ' x E{ 1 E| wkh fkdlq uxoh wkh ixqfwlrq | ' J Ex E{ kdv wkh ghulydwlyh g| g| gx gx ' ' j Ex E{ g{ gx g{ g{ vr J Ex E{ lv dq dqwlghulydwlyh ri j Ex E{ gx 1 g{ H{dpsoh hD{n2g{ Vhw x ' D{ n 2/ vr gx ' D ru gx ' Dg{ ru g{ '  gx1 D g{ Vxevwlwxwlqj D{ n 2 e| x dqg g{ e|  gx zh rewdlq D    D{n2g{ ' x g{ ' x h h h gx ' hxgx ' hx n F D D D  ' hD{n2 n F D 46 H{dpsoh 47 H{dpsoh 2 {h{ g{ Vhw x ' {21 Wkhq gx ' 2{g{ ru g{ ' 2 gx1 Wkhuhiruh { 2 {h{ g{ ' {hxg{ 'q 48 2 2 {h{ g{ 2  Wu| x ' h{ 1 Wkhq gx ' 2{h{ g{ ' 2{xg{1 Khqfh g{ ' 2{x gx 2    2 {h{ g{ ' {x gx ' x n F ' h{ n F gx ' 2{x 2 2 2 49 H{dpsoh {2h{g{ Wu| x ' h{1 Wkhq gx ' h{g{ ' xg{/ { ' *? x dqg khqfh 2h{g{ ' 2xg{ ' 2x  gx ' 2gx ' { { { { E*? x 2 gx x zklfk gr...
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