Serious Time #2 (3), 2012

pboflrp qfjb ⁄⅘<Ĥ÷⅘⅜⅔‰≠−÷J ŒŤTÜŠ ⅘⅜⅔‰≠−÷ℓJ MŠUŠȘŠH ŃŲŤŤÛÔÙÛH ÓŠTH ŐWŤŠTȚŠVWH ĿŲŤĤ ŠWŤŲ ₍ℓ×≈=‰⅔∫¬⅞% ÷⅘Ĥ ĻŲÎŎĤTŤẂÙŨĤÖÙÔOX ⅜⅔‰≠−÷H ⅜⅞⅝⅔%+⅘÷J −÷÷⅘‰≠−÷J ŐWŤŠTȚŠVW =+−¾⅔≠⅘ ∞ ⅚≈÷Ĥ MŠUŠȘŠ +⅔ ⅔ ⅞ ⅔¾≠−÷ ⅞⅜⅘⅞J

I

>

⅔ ⅜¾−÷⅘ ≈⅚⅘ +⅔=≠≈×⅞ ⅔¾⅗≈=≠ ⅞H ×−= ⅘ =≠− ∞ ⅜− ⅗−⅗− ×⅘÷⅘÷ℓ¾⅔H ≠÷⅘≠⅞% +− ⅘÷ ĒŐŤŲÙŬẀV ØÙÜŤĒ +⅔‰−+⅘± ¾ℓ≥⅘ ¾ =¾⅘≠Ħ ⅔‰ ×− ≈≤⅞ −=∞H ≤≠− ÷⅘⅜⅔‰Ĥ ±⅞√ −÷⅞⅗⅞+⅔ ∞+ℓ>H ⅜¾≈> ×⅘÷¾ℓ> +− ⅘÷−¾H ×−= ⅘ ¾ℓ>−⅜⅔ ×−= ⅘⅜+⅘⅗− ⅚≈÷+⅔ ⅔H ×÷⅞≥ ⅔ ‰ ⅝⅔=≠−∫ ⅞ ¾ =¾√⅝⅞ = ÷√⅜− ×÷⅞≤⅞+ ÷⅘≥⅞ ⅔ ×÷⅞−=≠⅔+−Ĥ ¾⅞≠∞ ×÷−⅞⅝¾−⅜=≠¾− +−¾ℓ> ¾ℓ×≈=‰−¾ +⅔ +⅘−×÷⅘⅜⅘ ⅘++−⅘ ¾÷⅘ √Ħ ⅘ +⅘ ⅘+⅘⅘H ⅜⅘ − ⅞ −=+−¾+⅔√ ⅞⅜⅘√ ŐØ ⅚⅞¾⅘≠ ⅞ ×÷−±¾⅘≠⅔⅘≠H ≤≠− +⅘ −⅚⅘≠ +⅘ ÷⅔⅜−¾⅔≠∞Ħ ⅔++ℓ% +− ⅘÷ ⅚≈÷+⅔ ⅔H ¾ +⅘‰−≠−÷− ÷−⅜⅘H −⅚+− +⅔⅝¾⅔≠∞ Ē+⅘−<⅞Ĥ ±⅞⅔ ∞+ℓ ĒĦ ⅘ − ¾ ≠− H ≤≠− ¾ℓ×≈=‰ ⅖ℓ ×−⅜⅗−≠−¾ ⅘+ =≠−÷−++⅘%H ⅞+⅞Ĥ ±⅞⅔≠⅞¾+−% ⅗÷≈××−% ∫⅜⅘%H ⅖− ∞≥⅔√ ≤⅔=≠∞ ‰−≠−÷ℓ> ¾ =−⅝⅜⅔+⅞⅞ −÷⅞⅗⅞Ĥ +⅔ ∞+ℓ> ×⅘÷¾ℓ> ¾ℓ×≈=‰−¾ ≈≤⅔=≠⅞⅘ +⅘ ×÷⅞+⅞ ⅔ ⅔Ħ ⅔⅜⅘⅘ =√H ≤≠− ≈≤⅔=≠Ĥ +⅞‰⅞ Ē+⅔=≠−√¬⅘% ÷⅘⅜⅔‰±⅞⅞Ē +⅘ ⅝⅔‰⅞⅜⅔∫≠ +⅔= ≠⅔׉⅔ ⅞ ⅝⅔ =≠− ∞ = ⅘ −⅘ ÷⅘≥⅘+⅞⅘Ħ ₍ ∫⅖− = ≈≤⅔⅘H ℓ +⅔⅜⅘⅘ =√H ≤≠− +⅔ ‰⅔≤⅘=≠¾− ⅚≈÷+⅔ ⅔ ∂≠− +⅞‰⅔‰ +⅘ ×−¾ ⅞√ −H ⅔ −⅚⅘≠ ⅖ℓ≠∞ ⅜⅔⅚⅘ ⅞ +⅔−⅖−÷−≠H ×÷⅞¾+⅘= − =¾−⅞ ×−Ĥ −⅚⅞≠⅘ ∞+ℓ⅘ × −⅜ℓĦ ₍ ∂≠− ¾ℓ×≈=‰⅘ +⅔ ⅜⅘%=≠¾⅞≠⅘ ∞+− ⅘=≠∞ ≤⅘ ×−÷⅔⅜−¾⅔≠∞ +⅔≥⅞> ≤⅞≠⅔≠⅘Ĥ ⅘%Ħ ⅔‰H ¾⅔= ⅚⅜≈≠ ±⅘ ℓ> ⅜¾⅔ ⅗÷− ‰⅞> ⅞ −⅖℮⅘ +ℓ> ⅞+≠⅘÷¾∞∫ = ≠⅔‰⅞ ⅞ ⅞⅝¾⅘=≠+ℓ ⅞ ¾ ‰− ∞∫+⅞≠⅞ ∫⅜∞ ⅞H ‰⅔‰ Ė−≈≤⅔=+⅘Ň ⅞ ĻŲÎŎĤTŤẂÙŨĤÖÙÔOXĦ ₍ +−¾−% ⅞+⅞Ĥ÷≈⅖÷⅞‰⅘ Ē +⅘¾+⅞‰⅞ ÷⅔⅝÷⅔⅖−≠≤⅞‰−¾ĒH −⅜⅞+ ⅞⅝ ≈≤⅔=≠+⅞‰−¾ ‰−Ĥ ⅔+⅜ℓ −⅜⅞<⅞‰⅔±⅞⅞ ĒØUŤ ŇŲŠŪT ŃÙŦUWĒH ⅘ ⅞+⅗H −⅝+⅔‰− ⅞≠ ¾⅔= = >−⅜− ÷⅔⅖−≠ℓ +⅔⅜ ×÷−⅘‰≠− H ⅔ =÷⅔⅝≈ ⅚⅘ ×−= ⅘ ∂≠−⅗− ØŤŪVUÙ ×÷⅘⅜=≠⅔¾⅞≠ ≤⅞≠⅔≠⅘Ĥ √ ⅔+−+= =¾−⅘% +−¾−% ⅞+⅜⅞Ĥ⅞⅗÷≈≥‰⅞ ×−⅜ +⅔⅝¾⅔+⅞⅘ ĒŐŬŨŬÜŬŪĒĦ −H ÷⅔⅝≈ ⅘⅘≠=√H ∂≠− ⅘¬⅘ +⅘ ¾=ΩË ₋¾≠−÷ℓ ÷≈⅖÷⅞‰⅞ Ē =−⅖−⅘ +⅘+⅞⅘Ē ¾ℓĤ =‰⅔⅚≈≠ =¾−⅞ +⅘+⅞√ ⅞ ÷⅔⅝ ℓ≥ ⅘+⅞√ − ⅖≈⅜≈¬⅘ =⅘÷⅞⅞ ŐŤŲÙŬẀV ŐŠÜ ⅞ ⅘Ω ×÷−≥ − H ⅝⅔≠⅘ ¾⅔= ⅚⅜≈≠ +⅘=‰− ∞‰− ÷⅘±⅘+⅝⅞% +⅔ ÷⅔⅝ ⅞≤+ℓ⅘ ×÷−⅘‰≠ℓH ¾‰ ∫≤⅔√ MÒĿ ĒÒŤŦŤŪT ŬȚ WUŤ ŁŤŠVWĒ ⅞ −⅜⅞<⅞‰⅔±⅞∫ ĒĿŲŠYX ÓŬT ÍĦÏĒH +−Ĥ ¾ℓ% <⅔+<⅞‰ ¾− ¾=⅘ ⅘++−% ŐŤŲÙŬẀV ŐŠÜ ⅞H ‰−+⅘≤+−Ĥ⅚⅘H =¾⅘⅚⅔√ =‰⅔⅝−≤‰⅔ ⅜√⅜∫≥‰⅞ ∂⅜⅔Ë ≈H ⅔ +⅔ ⅜⅘=⅘÷≠ Ĥ ¾‰≈=+−⅘ ⅖ ∫⅜− ¾ ¾⅞⅜⅘ +⅔≥⅞> −≠¾⅘≠−¾ +⅔ ¾⅔≥⅞ ¾−×÷−=ℓ ¾ ÷≈⅖÷⅞‰⅘ Ē₎−÷√≤⅔√ ⅞+⅞√ĒĦ

⁄⅘<Ĥ÷⅘⅜⅔‰≠−÷H ŃŲŤŤÛÔÙÛ ⅜⅞⅝⅔%+ ⅞ ¾Ω÷=≠‰⅔J ⅘⅜⅔‰≠−÷ℓJ ŃŲŤŤÛÔÙÛH ŐWŲŚŇUŬVWH ŐWŤŠTŃŠVWH ŐĻŐÑĻĤPŎÞH OĻÓŅOĻRNH ĿUŤŞŬẄŠŲH ÓŠTH ØŤŪVUÙH ĻŲWÙȚÙȘÙŠÍ ₋ ŐNŎŅÕǾŐŐŅØNĦŎǾ ₍₋ ¼ ₍₋ ₌ ₍₋ ⅓ ₍ ₋ ⅛⅟ ₋ H ⅓ ŐNŎŅÕǾŐ ØŅÓN ₎ ₌⅛ ₋ ¼ ₋Ħ ₋ ₍ ₍ ₋ ₋ ⅛ ₋ ⅛ ¼ ¼ ₎ ₋ Ħ ₋ ⅛ ₍ ₍ ₋ ₋ ⅓ ₌½⅛₍ Ħ₍ ⅛ ₎ ₍⅓ ₋ ₋ ₋ ₋ ⅓ ₍ ₋ ₋₍ ₍ ₍ ₋ ₋ ¼

₋ ₋ ₋ ₋

₍H

₋ ₍ ₋ ⁄ ⅛ ₋ Ĥ ⅓ Ĥ ¼ ₋ Ħ ₋ Ħ

√ =¾√⅝⅞ = ÷⅘⅜⅔‰±⅞⅘% ₋ ₎ +− ⅘Ĥ ÷⅔ ⅚≈÷+⅔ ⅔ ĒŐŤŲÙŬẀV ØÙÜŤĒ ×− ¾−×÷−=⅔ H =¾√⅝⅔++ℓ = =−≠÷≈⅜+⅞≤⅘=≠¾− H ÷⅘‰− ⅘+Ĥ ⅜⅔±⅞√ ⅞ ⅞ ⅞ ×−⅚⅘ ⅔+⅞√ ⅞H ⅔ ≠⅔‰⅚⅘ ⅜ √ −≠×÷⅔¾‰⅞ ¾−×÷−=−¾ ¾ ÷≈⅖÷⅞‰≈ Ē₎−÷√Ĥ ≤⅔√ ⅞+⅞√ĒH ¾ℓ −⅚⅘≠⅘ ¾ℓ⅖÷⅔≠∞ −⅜⅞+ ⅞⅝ +⅞⅚⅘×⅘÷⅘≤⅞= ⅘++ℓ> =×−=−⅖−¾J ŒOJ ẂÛĦȘŬÜIVŤŲÙŬẀVŚWÙÜŤ NĤÜŠÙŨJ VŤŲÙŬẀVĦWÙÜŤĽXŠĦŲẀ ØŴÙWWŤŲJ WŴÙWWŤŲĦȘŬÜIVŤŲÙŬẀVŚWÙÜŤ

OMNN

⅝⅔ =⅞ √H ×−⅚⅔ ≈%H =×⅘≥≈ −≠‰ ⅔+√≠∞=√Ħ ÷⅞√≠+−⅗− ¾⅔ ≤≠⅘+⅞√Ë

I cêÉÉâkáâ ≠÷Ħ ÌÎ

Ï

₍

ĪĤÍİ ĪĤĮ IJĤÍÍ ÍÎĤÍĨ ÍÏĤÍĪ ÍĬĤÍİ

₍⅓ +≠⅘÷¾∞∫ = Ė−≈≤⅔=+⅘Ň +≠⅘÷¾∞∫ = ĻŲÎŎĤTŤẂÙŨĤÖÙÔOX +⅘¾+⅞‰⅞ ÷⅔⅝÷⅔⅖−≠≤⅞‰−¾ ØŇŃ Ĥ ≤⅔=≠∞ ×⅘÷¾⅔√ ₋+−+= ⅞⅗÷ℓ ŐÕÒÕÓÕÔ ŐŤŲÙŬẀV ŐŠÜ MŬẀŞŨŤ M ÞÞÒJ ⅔≠⅔+ −≈≠= ÷⅔==‰⅔⅝ℓ¾⅔⅘≠ −⅖ ⅞⅗÷⅘

ÍĮĤÎÌ ÍIJ

V ₌− ∞≥−⅘ ⅞+≠⅘÷¾∞∫ = ĻŲÎŎĤTŤẂÙŨĤÖÙÔOX

₌ +⅘+⅞⅘ − ⅖≈⅜≈¬⅘ =⅘÷⅞⅞ ŐŤŲÙŬẀV ŐŠÜ Ĥ ŐĻŐÑĻĤPŎÞ +⅘+⅞⅘ − ŐŤŲÙŬẀV ŐŠÜ Î Ĥ OĻÓŅOĻRN

ÎÌ

ÎÍĤĨÌ ÎÍĤÎÎ ÎĨĤÎÏ ÎĪĤÎĬ ÎİĤÎĮ

ÒŤŦŤŪT ŬȚ WUŤ ŁŤŠVW ĿŲŠYX ŐŤŲÙŬẀV ŐŠÜ Ĩ ÓŬT ÍHÏ ÑÙTTŤŪ ÙŪ WUŤ ÖXŲŠÜÙT ŃŬŲŦŬWWŤŪ ÖŨŠȘŤĜŎNØŎÕĞ

ĨÍĤĨĨ

¼

ĨÍĤĨĨ

ĨÏĤĨĮ

₎ ₋

₋

⅛

⅔ √ ĜŃŲŤŤÛÔÙÛĞ

ĨIJĤĪÍ

₋

ĨIJĤĪÍ

⅛ ⅙⁄

₍=⅘ −⅞ ¾⅞+≠⅞‰⅞

ĪÎ

PQ

₍₋

−⅝⅜⅔+⅞⅘ ⅔+⅜≥⅔<≠⅔ ¾ ŐNM ĨHĪ

ĨÏĤĨĮ

ĪÎ

₋

NO ØUŤ ŇŲŠŪT ŃÙŦUW Ĥ ⅜+⅘¾+⅞‰⅞ ÷⅔⅝÷⅔⅖−≠≤⅞‰−¾

₋ Ĥ₋

⅕ ₋

OP

⅘±⅘+⅝⅞√ +⅔ ĿŲŠYX ŐŤŲÙŬẀV ŐŠÜ Ĩ ÓŬT

ÒNŇÕ ŐŤŲÙŬẀV ŐŠÜ

⅔+<⅞‰

⅔ √

RO ŃŠŪĤÓŠTŤ Ĥ ÒNŇÕ ŐŤŲÙŬẀV ŐŠÜ ≠÷Ħ ÌĨ

ÔŤŬÜÙŪÙŦŠŪ ⅔+−+=⅞÷−¾⅔ +−¾≈∫ ¾⅘÷=⅞∫ =¾−⅘⅗− −⅜⅔ Ĥ ĿŲŠYX ÓŬT ÍĦÏH −=+−¾+−% −=−⅖⅘++−=≠∞∫ ‰−Ĥ ≠−÷−⅗− √¾ √⅘≠=√ −⅖+−¾ ⅘+⅞⅘ ¾=⅘⅗− ⅔÷=⅘+⅔ ⅔ ⅗ ⅔¾Ĥ +−⅗− ⅗⅘÷−√ ⅞ ×⅘÷⅘⅜⅘ ‰⅔ ¾=⅘> −+=≠÷−¾Ħ ⅔‰⅚⅘ ×÷⅞Ĥ =≈≠=≠¾≈⅘≠ +−¾⅔√ =∫⅚⅘≠+⅔√ ‰⅔ ×⅔+⅞√Ħ

ŐŤŲÙŬẀVĻŨŤẄŤÚ ¾ℓ −⅚⅞ ⅜ √ −⅝+⅔‰− ⅘+⅞√ ⅜⅘ ‰≈ +⅔≥≈ ⅘¾≥⅘% −⅜⅞<⅞‰⅔±⅞⅞ ŁẀÙŨTŤŲ ÓŬT ⅝⅔ ¾⅘÷Ĥ =⅞⅘% ÍHĪĦ −‰⅔Ĥ≤≠−H ⅜⅘ ‰⅔ ≤⅞=≠− ≠⅘>+⅞≤⅘=‰⅔√H =⅞+Ĥ ⅗ −¾ℓ> ≈÷−¾+⅘% +⅘ ×÷⅞=≈≠=≠¾≈⅘≠Ħ

₋+−+=⅞÷−¾⅔+− MÒĿ ŊŤŴŤŨ ŬȚ WUŤ ÔÙŨŤ ⅜ √ ŐŤŲÙŬẀV ŐŠÜ ĨJŁŃN

⅗⅞×⅘≠Ĺ ×√≠∞ ⅗⅞×⅘≠ĹË ⅘ >−≤≈ ⅖− ∞≥⅘ ¾ ⅗⅞×⅘≠Ë ⅝⅜⅔≠⅘ ∞=≠¾− MŤẂŬŨẂŤŲ MÙŦÙWŠŨ =−¾ ⅘=≠+− = ‰− ×⅔+⅞⅘% ĿŲŬWŤŠÜ ⅔+−+=⅞÷−¾⅔ ⅞ ⅜− ⅗−⅚⅜⅔++−⅘ MÒĿ ⅜ √ ŐŤŲÙŬẀV ŐŠÜ ĨJ ŁŃN ×−⅜ +⅔Ĥ ⅝¾⅔+⅞⅘ ŊŤŴŤŨ ŬȚ WUŤ ÔÙŨŤ Ħ ⅔‰ =≠⅔ − ⅞⅝¾⅘=≠+− ⅞⅝ ×÷⅘==Ĥ÷⅘ ⅞⅝⅔H ⅜⅘%=≠¾⅞⅘ ⅜−×− +⅘+⅞√ ⅖≈⅜⅘≠ ×÷−>−⅜⅞≠∞ ¾ =∫⅚⅘≠+−% ⅞+⅞⅞ ×÷⅞Ĥ ‰¾⅘ ⅔ ⅞ ÷⅔=‰÷ℓ¾⅔≠∞ −⅜+≈ ⅞⅝ ⅜−×− +⅞≠⅘ ∞+ℓ> ¾⅘≠¾⅘% ×≈≠⅘≥⅘=≠¾⅞√ ∂ ⅔‰ ∫≤≈ ‰ ₍⅘≤+−=≠⅞ Ħ − =∫⅚⅘≠≈H ÷≈≠−% ∂ ⅖≈⅜⅘≠ ¾ℓ+≈⅚⅜⅘+ −≠×÷⅔¾⅞≠∞=√ +⅔ −=≠÷−¾ ⅞ ⅘ ¾ ⅜⅘ ∞≠⅘ ⅞ ⅔H ≤≠−⅖ℓ +⅔%≠⅞ ≠⅔ −⅗≈¬⅘=≠¾⅘++ℓ% ⅔÷≠⅘<⅔‰≠H

‰−≠−÷ℓ% ×− −⅚⅘≠ ⅝⅔×≈=≠⅞≠∞ ⅔≥⅞+≈ ¾÷⅘ ⅘+⅞Ħ ⅔ ⅜⅔++ℓ% − ⅘+≠ ⅞⅝¾⅘=≠+−H ≤≠− MÒĿ ⅖≈⅜⅘≠ =−=≠−√≠∞ ⅞⅝ ≠÷⅘> =∫⅚⅘≠+ℓ> ‰⅔÷≠Ħ ⅔ −⅖⅘¬⅔∫≠ +⅔‰−+⅘± ¾ℓ×≈=≠⅞≠∞ +⅔ ×⅘÷¾−⅘ ⅘=≠− ⅖ℓ¾≥⅞⅘ =⅘‰÷⅘≠+ℓ ⅞ ¾ −÷⅞⅗⅞+⅔ ∞+−% ⅞⅗÷⅘ =+⅔%×⅘÷‰≈ ⅞ ⅔⅝⅘÷+−⅘ ÷≈⅚∞⅘H ⅔ ¾ ‰⅔≤⅘=≠¾⅘ +−¾ℓ> ¾÷⅔⅗−¾ −⅖⅘¬⅔∫≠ ¾=≠÷⅘≤≈ = ⅘⅗⅘+⅜⅔÷Ĥ +ℓ ⅞ ÷⅘×≠⅞ −⅞⅜⅔ ⅞ ⅞⅝ ŐŤŲÙŬẀV ŐŠÜ ÑMĦ ĒĿŲŬWŤŠÜ −≤⅘+∞ ¾⅝¾− +−¾⅔+ℓ ÷⅘⅔‰±⅞⅘% +⅔≥⅞> <⅔+⅔≠−¾ +⅔ ŐŤŲÙŬẀV ŐŠÜ ĨJ ŁŃNH×−∂≠− ≈ ℓ ≈×−÷+− ≠÷≈⅜⅞ ⅞=∞ ⅜ √ ≠−⅗−H ≤≠−⅖ℓ ⅜−Ĥ ×− +⅞≠∞ =∫⅚⅘≠+≈∫ ⅞+⅞∫ ⅞⅗÷ℓ ⅞ ×÷⅘×−⅜+⅘=≠⅞ ⅞⅗÷−‰⅔ ⅘¬⅘ ⅖− ∞≥⅘ ≤≈⅜⅘= ¾ +−¾− MÒĿĒH ⅝⅔√¾⅞ ⅔¾−÷ ≈+=‰⅞H ⅗ ⅔¾+ℓ% ‰÷⅘⅔≠⅞¾Ĥ +ℓ% ≤≈¾⅔‰ ĿŲŬWŤŠÜĦ − ⅝⅔¾⅘÷⅘+⅞∫ ÷⅔⅝÷⅔⅖−≠≤⅞‰−¾H MÒĿ =‰−÷⅘⅘ ¾=⅘⅗− ⅖≈⅜⅘≠ × ⅔≠+ℓ ⅞ ×−√¾⅞≠=√ ¾ ×÷−⅜⅔⅚⅘ ≠− ∞‰− ¾ −‰≠√⅖÷⅘ ≠⅘‰≈¬⅘⅗− ⅗−⅜⅔Ħ Ē +≠⅘÷⅘=+−H ⅘=≠∞ ⅞ +⅔ ∂≠− −=≠÷−¾⅘ ⅞ ⅘ ¾ +−¾− MÒĿ ĒŊŤŴŤŨ ŬȚ WUŤ ÔÙŨŤĒ +≈⅜⅞=≠=‰⅞% × √⅚ĹĒ Ĥ ‰− ⅘+≠⅞÷≈⅘≠ ×÷⅘==Ĥ÷⅘ ⅞⅝ −÷‰ ⅔÷‰⅘÷H <⅞+⅔+=−¾ℓ% ⅜⅞÷⅘‰≠−÷ MŤẂŬŨẂŤŲ MÙŦÙWŠŨĦ Ē ⅜⅞+=≠¾⅘++⅔√ ¾⅘¬∞H ‰−≠−÷⅔√ ×÷⅘¾−=>−⅜⅞≠ ⅖⅘⅝−=≠⅔+−¾−≤+ℓ% ∂‰≥+ Ĥ ∂≠− ×⅔÷−≤‰⅔ =×⅘ ℓ> ⅞ √=⅞=≠ℓ> Ē⅜ℓ+⅘‰ĒĦ

₎ ₍⅓ MŤẂŬŨẂŤŲ MÙŦÙWŠŨ ⅞⅝⅜⅔=≠ ⅞⅗÷≈ ÑŬWŨÙŪŤ ÓÙŠÜÙ

₍

₍⅔%= ⅞≠⅞ ¾ ¾−=∞ ⅞⅖⅞≠⅘

⅝⅜⅔≠⅘ ∞=≠¾− MŤẂŬŨẂŤŲ MÙŦÙWŠŨH ⅜⅘ −¾ℓ⅘ ×⅔÷≠+⅘÷ℓ ĿŲŬWŤŠÜ ¾ × ⅔Ĥ +⅘ ¾ℓ×≈=‰⅔ =⅘÷⅞⅞ ŐŤŲÙŬẀV ŐŠÜH ¾ℓ×≈=≠√≠ +−¾≈∫ ⅞+⅜⅞Ĥ⅞⅗÷≈Ħ ÷−⅘‰≠ +−=⅞≠ +⅔⅝¾⅔+⅞⅘ ÑŬWŨÙŪŤ ÓÙŠÜÙ Ĝ÷≈=Ħ ₎−÷√≤⅔√ ⅞+⅞√ ⅔%⅔ ⅞ Ğ ⅞ ×÷⅘⅜=≠⅔¾ √⅘≠ =−⅖−% ⅔÷‰⅔⅜+ℓ% WŬŮĤTŬŴŪ ≥≈≠⅘÷H ¾ℓ×≈¬⅘++ℓ% ¾ ⅜−¾− ∞+− +⅘−⅖ℓ≤+− =≠⅞ ⅘ ⅞ =⅘≠≠⅞+⅗⅘Ħ ⅕≠⅔ ⅞⅗÷⅔ ¾ℓ×− +⅘+⅔ ¾ ¾−=∞ ⅞⅖⅞≠+− =≠⅞ ⅘H = ×÷⅞ ⅘=∞∫ √÷‰⅞> ⅞ ⅜⅔⅚⅘ ‰⅞= −≠+ℓ> ±¾⅘Ĥ ≠−¾H ⅔ ⅘=≠− ⅜⅘%=≠¾⅞√ √¾ √⅘≠=√ ⅔%⅔ ⅞ ĮÌ ⅗⅗Ħ ÞÞ ¾⅘‰⅔Ħ − =∫⅚⅘Ĥ ≠≈H ℓ ¾ℓ=≠≈×⅔⅘ ¾ ÷− ⅞ ‰÷−¾⅔¾−⅗− +⅔⅘ +−⅗− ⅔+∞√‰⅔Ĥ≈⅖⅞%±ℓH ‰−≠−÷ℓ% ⅗⅔=⅞≠ ÷≈==‰⅞> ⅗−×+⅞‰−¾ ×− ÷⅔⅝ ⅞≤+ℓ ×÷⅞≠−+⅔ ⅞ −≠⅘Ĥ √ Ħ ⅗÷≈ ¾−¾=∫ ÷⅔=>¾⅔ ⅞ ⅞ +⅔ ¾ℓ=≠⅔¾‰⅘ ŎŤŤYŤT ŇŠÜŤ ŐUŬŴH +⅔⅗÷⅔⅜⅞¾ ÷⅔⅝ ⅞≤+ℓ ⅞ ≠⅞≠≈ ⅔ ⅞H ‰⅔‰H +⅔×÷⅞ ⅘÷H ŇØĻ ¾ ×⅞‰=⅘ ∞Ĥ⅔÷≠⅘ H ÑÙWÜŠŪH ×⅘÷⅘⅜⅘ ⅔++ℓ% ¾ ×−>−⅚⅜⅘+⅞√ ×=⅞>−×⅔≠⅔ Ħ ⅗÷⅔ ÷⅔⅝÷⅔⅖−≠⅔+⅔ ‰− ×⅔+⅞⅘% MŤŪŪŠWŬŪ ŇŠÜŤV ⅞ ⅖≈⅜⅘≠ ¾ℓ×≈¬⅘+⅔ +⅔ × ⅔≠<−÷ ⅔> ÖĿ ⅞ ÓŠȘĦ −≤+⅔√ ⅜⅔≠⅔ ¾ℓ>−⅜⅔ +⅘ =−−⅖¬⅔⅘≠=√H −⅜Ĥ +⅔‰−H ⅞⅝¾⅘=≠+−H ≤≠− ×÷−⅘‰≠ ≠−≤+− ¾ℓ%⅜⅘≠ ¾ =¾⅘≠ ¾ ∂≠− ⅗−⅜≈Ħ

₍ ¼⅙ −¾ℓ% =‰÷⅞+≥−≠ ŐŤŲÙŬẀV ŐŠÜJ ÔŤẄW NŪȘŬẀŪWŤŲ ÑM

≠‰≈⅜⅔ +⅘ ⅚⅔⅜ ⅞ĦĦĦ ₍ =−±Ħ=⅘≠⅞ ŃŠȘŤŞŬŬÛ +⅘ ≠⅔‰ ⅜⅔¾+− ¾+⅘⅝⅔×+− ¾=× ℓ +−¾ℓ% =‰÷⅞+≥−≠ −⅜⅞<⅞‰⅔±⅞⅞ ŐŤŲÙŬẀV ŐŠÜJ ÔŤẄW NŪȘŬẀŪWŤŲ ÑMH ÷⅔⅝Ĥ ÷⅔⅖⅔≠ℓ¾⅔⅘ −% ‰− ⅔+⅜−% VŤŲÙŬẀVVÙWŤĦŲẀĦ ₍ ×÷⅞+±⅞×⅘H =−⅖ℓ≠⅞⅘ +⅘ ⅔ −¾⅔⅚+−⅘H +⅘= −≠÷√ +⅔ ≠−H ≤≠− =‰÷⅞+≥−≠ =⅔ ×− =⅘⅖⅘ +⅘ +⅘=⅘≠ ‰⅔‰−%Ĥ≠− ≤⅘÷⅘⅝≤≈÷ −=−⅖⅘++−% ⅝+⅔≤⅞ −=≠⅞H −⅜+⅔‰−H ⅝⅔⅖⅔Ĥ ¾⅘+ ≠−≠ <⅔‰≠H ≤≠− ⅞⅝−⅖÷⅔⅚⅘+⅞⅘ ¾=× ℓ − ⅞ ⅘++− ¾ =≠−÷−++⅘% ⅗÷≈××⅘ +⅔ ŃŠȘŤŞŬŬÛH ⅔ +⅘ +⅔ =⅔ − =⅔%≠⅘H ⅗⅜⅘ ⅖⅔⅝⅞÷≈⅘≠=√ ‰−Ĥ ⅔+⅜⅔ ⅜⅘¾⅘ −×⅘÷−¾Ħ ⅔⅝÷⅔⅖−≠≤⅞‰⅞ −⅖℮√=+∫≠ ∂≠≈ =⅞≠≈⅔±⅞∫ +⅘ ⅞+⅔≤⅘ ‰⅔‰ ŨŤŠÛ H +⅘Ĥ ⅝⅔× ⅔+⅞÷−¾⅔++⅔√ ≈≠⅘≤‰⅔H ≤≠− =⅔ − ×− =⅘⅖⅘ ¾ℓ⅗ √⅜⅞≠ +⅘=‰− ∞Ĥ ‰− +⅘×÷⅔¾⅜−×−⅜−⅖+− ⅞ =≠÷⅔++−Ħ

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Ad ÷⅞¾⅘≠H −≈≤H −⅗÷− +−⅘ =×⅔=⅞⅖− ≠⅘⅖⅘ ⅝⅔ ≠−H ≤≠− +⅔Ĥ ≥⅘ ¾÷⅘ √ ×−⅖⅘=⅘⅜−¾⅔≠∞Ħ ≠⅔‰H ⅜⅔¾⅔% +⅔≤+⅘ = =⅔ −Ĥ ⅗− ×÷−=≠−⅗− ⅞ −=+−¾+−⅗−Ħ ⅔==‰⅔⅚⅞ ×⅔÷≈ = −¾ − =⅘⅖⅘ +⅔Ĥ ≥⅞ ≤⅞≠⅔≠⅘ √ Ħ ₍=⅘ ×÷⅞¾⅘≠Ħ ≈H ≤≠− ≠≈≠ −⅚+− −⅖− +⅘ =‰⅔⅝⅔≠∞H −⅖ℓ≤+ℓ% ≤⅘ −¾⅘‰ ×− ⅞ ⅘+⅞ ₋÷≠⅘ H ⅚⅞¾≈¬⅞% ¾ ⅗−÷−⅜⅘ ⅔√+−⅗−÷=‰⅘H ÷⅘=×≈⅖ ⅞‰⅞ ⅔‰⅔=⅞√Ħ +⅘ ÍIJĜ= ×− −¾⅞+−%ËĞ ⅘≠H −‰−+≤⅞ ×⅘÷¾ℓ% ‰≈÷= ≈+⅞¾⅘÷⅔Ħ =≠∞ ⅚⅘+⅔ ⅞ ≠÷−⅘ ⅜⅘≠⅘% ⅜⅘¾≈≥‰⅔Ħ ∫⅖ ∫ = ≈≥⅔≠∞ ¾=ΩH +− ¾ −=+−¾+− ≠√⅚⅘ ≈∫ ≈⅝ℓ‰≈Ħ ₋ −=Ĥ ≠⅔ ∞+−⅘H ⅜≈ ⅔∫H +⅘ =≠− ∞ ¾⅔⅚+−Ħ

+− H +⅘ ×−+÷⅔¾⅞ ⅔=∞ =¾−⅞ <⅞÷ ⅘++ℓ √=− ⅞ +⅔ ⅞Ĥ ≤⅞⅘ ÷⅘⅜⅔‰≠−÷⅔ ≈⅚⅘ ≠−⅗⅜⅔ √ +⅔≤⅔ ⅘×⅞≠∞ ≥⅘⅜⅘¾÷ℓ +⅔ ×−⅜−⅖⅞⅞ ≠⅘>H ≤≠− +ℓ+≤⅘ ×−√¾ √∫≠=√ +⅔ VŤŲÙŬẀVVÙWŤĦŲẀĦ −⅝⅚⅘H ‰−⅗⅜⅔ √ ≈⅝+⅔ ×− ≠⅘ ⅘¾⅞⅝−÷≈ − =‰−÷− ¾ℓ>−⅜⅘ ŐŐÎH √ ⅖ℓ −≤⅘+∞ =≤⅔=≠ ⅞¾H ⅞ ‰−⅗⅜⅔ −+ ¾ℓ≥⅘ H √ +⅔¾⅘÷+−⅘ ⅜⅞=Ĥ ‰−¾ ÎÌ ‰≈×⅞ = +⅞ H +− +⅔ ‰⅔⅚⅜− ≠− ×⅘÷⅘¾−⅜⅔ +⅘ ⅖ℓ −H ≠− ¾⅞⅜⅘−÷− ⅞‰−¾H ≠− −⅝¾≈≤‰⅔ −≠=≈≠=≠¾−¾⅔ ⅔Ħ ₍ −⅖¬⅘ H ≠⅔‰ √ ⅞ +⅘ ×−⅞⅗÷⅔ ¾ ≠⅘ ¾÷⅘ ⅘+⅔ ¾ +−÷ ⅔ ∞+ℓ% ŐŐÎĦ ⅔‰ ≤≠− = ⅔¾⅔ ⅞+≠⅘÷+⅘≠≈ ⅞ ≠−÷÷⅘+≠⅔ ⅝⅔ ‰⅔≤⅘=≠¾⅘++≈∫ −‰⅔ ⅞⅝⅔Ĥ ±⅞∫Ë

‰− ∞‰− ⅘≠ ≈⅚⅘ √¾ √⅘≥∞=√ <∂+− =⅘÷⅞⅞ ŐŤŲÙŬẀV ŐŠÜĹ ⅘ ÷⅔==‰⅔⅚⅘≥∞ − ≠− H ‰−⅗⅜⅔ ¾×⅘÷¾ℓ⅘ ×−⅞⅗÷⅔ ¾ ∂≠≈ ⅞⅗Ĥ ÷≈Ĺ ÷≈⅜+− =‰⅔⅝⅔≠∞ ≠−≤+−ĦĦĦ ⅔¾⅘÷+−⅘H ⅘≠ ¾−=⅘ ∞ +⅔⅝⅔⅜H ×−≠−Ĥ ≈ ≤≠− √ ×− +∫H ‰⅔‰ ⅞⅗÷⅔ ¾ +⅘⅘ ¾ ‰⅔‰− Ĥ≠− ‰− ×∞∫≠⅘÷Ĥ +− ‰ ≈⅖⅘H ‰−≠−÷ℓ> ≠−⅗⅜⅔ ⅖ℓ − ‰⅔‰ ≠⅔÷⅔‰⅔+−¾ ≈ +⅔= ¾ −⅖Ĥ ¬⅔⅗⅘Ħ − ∂≠− ⅖ℓ ⅔ +⅘ −÷⅞⅗⅞+⅔ ∞+⅔√ ⅞⅗÷⅔H ⅔ −⅜ ≠− ⅞ ≈ ⅞√ H ≠− ⅞ ₌⅔=≠⅞−+ ∞ ℓ H √ ≈⅚⅘ ⅞ +⅘ ×− +∫H ⅘= ⅞ ≤⅘=≠+−Ħ −∂≠− ≈ ≠−⅗⅜⅔ √ ⅞ ÷⅘≥⅞ H ≤≠− ∂≠− ⅞ ⅘=≠∞ ₎ Ĥ ₋ Ë ÷−≥ − ⅘¬Ω +⅘‰−≠−÷−⅘ ¾÷⅘ √H ×⅘÷⅘⅜ ≠⅘ ‰⅔‰ ≈ ⅘+√H +⅔Ĥ ‰−+⅘±H ×−√¾⅞ =√ =¾−% ‰− ×∞∫≠⅘÷H ⅞ ≈⅚⅘ ≠−⅗⅜⅔ √ +⅔≤⅔ ×−Ĥ ‰≈×⅔≠∞ ‰⅔≤⅘=≠¾⅘++ℓ⅘ ×⅞÷⅔≠=‰⅞⅘ ⅜⅞=‰⅞ ¾ +⅔≥⅞> ≠−⅗⅜⅔≥+⅞> ĿMĤMŒMĤ ⅔⅗⅔⅝⅞+⅔>Ħ √ ×−=≠−√++− +⅔≠ℓ‰⅔ =√ +⅔ −⅜+⅞ −Ĥ ⅜ℓË ⅞⅗⅜⅘ +⅘ ⅖ℓ − ×÷−=≠− −÷⅞⅗⅞+⅔ ∞+−⅗− ŐŤŲÙŬẀV ŐŠÜJ ØUŤ ŃÙŲVW NŪȘŬẀŪWŤŲ Ë − ⅝⅔≠− ⅖ℓ ØUŤ ŐŤȘŬŪT NŪȘŬẀŪWŤŲ Ħ √H ×− =¾−⅘ ≈ +⅘⅝+⅔+⅞∫H ≠⅔‰ ⅞ ÷⅘≥⅞ H ≤≠− ∂≠− Ĥ ×⅘÷¾⅔√ ≤⅔=≠∞H ≠⅔‰ ‰⅔‰ ≠⅔ ⅖ℓ ⅖− ⅘⅘Ĥ ⅘+⅘⅘ ⅔⅜⅘‰¾⅔≠+ℓ% =∫⅚⅘≠Ħ −≠− ≈⅚⅘ +⅔≥⅘ ØŃN H ÷⅘≥⅞ H ≤≠− ∂≠− ‰⅔‰⅔√Ĥ≠− ⅜÷≈⅗⅔√ ≤⅔=≠∞Ħ ₍ −⅖¬⅘ H ⅘¬Ω +⅘=‰− ∞‰− ⅘=√±⅘¾ ≈ ⅘+√ ⅖ℓ ⅔ ×÷−Ĥ =≠− ‰⅔≥⅔ ¾ ⅗− −¾⅘ = ∂≠⅞ ⅞ −⅖−⅝+⅔≤⅘+⅞√ ⅞H −⅜+⅔‰−H ×−Ĥ ≠− H =− ¾÷⅘ ⅘+⅘ H ≈⅚⅘ ⅜−≥ −H ≤≠− ⅜⅔ ‰⅔‰Ħ ⅗÷⅔H ¾ −=+−¾Ĥ

ℓH ÷⅔⅝≈ ⅘⅘≠=√H +⅔⅞⅖− ⅘⅘ ⅞⅝¾⅘=≠⅘+ ‰⅔‰ −⅜⅘÷⅔≠−÷ VŤĤ ŲÙŬẀVVÙWŤĦŲẀH ¾ ≤⅔=≠+−=≠⅞H =≠−⅞≥∞ +⅔ =≠÷⅔⅚⅘ ≠⅔‰⅞> ÷⅔⅝⅜⅘ −¾ <−÷≈ ⅔H ‰⅔‰ ŐŤŲÙŬẀV ŐŠÜ Í ⅞ ŐŤŲÙŬẀV ŐŠÜ ĨH ≠⅔‰⅚⅘ −⅜⅘÷⅞÷≈⅘≥∞ ‰⅔≠⅔ −⅗ <⅔% −¾Ħ ⅔‰ ⅞ >−≤⅘≠=√ ⅝⅔⅜⅔≠∞ ¾−×÷−= Ĥ ‰⅔‰ ⅜−‰⅔≠⅞ =√ ⅜− ⅚⅞⅝+⅞ ≠⅔‰−%Ĺ ‰⅔‰⅞⅘ =−¾⅘≠ℓ ≠ℓ −⅗ ⅖ℓ ⅜⅔≠∞ ≠⅘ H ‰≠−H ¾−⅝ −⅚+−H >−≤⅘≠ ×−×÷−⅖−¾⅔≠∞ =⅘⅖√ ¾ −⅜⅘÷⅔±⅞⅞ +⅔ =Ĥ=⅔%≠⅘Ĺ ₍ ‰⅔‰− ∂≠− = ℓ= ⅘ ⅜−‰⅔≠⅞ =√ Ĺ ₍ = ℓ= ⅘H ‰⅔‰ √ =≠⅔ −⅜⅘÷⅔≠−÷− Ĺ ≈H ×÷−=≠− √ ÷⅔+∞≥⅘ ≈⅚⅘ ⅝⅔+⅞ ⅔ =√ ×−Ĥ ⅜−⅖+ℓ +⅔ ⅜÷≈⅗⅞> =⅔%≠⅔>H ⅔ ≠⅔‰⅚⅘ ≈ ⅘+√ +⅘≠ ⅞ +⅘ ⅖ℓ − ⅝⅔¾ℓ≥⅘++−⅗− ≤≈¾=≠¾⅔ =−⅖=≠¾⅘++−⅗− ¾⅘ ⅞≤⅞√H ×−∂≠− ≈H +⅔Ĥ ¾⅘÷+−⅘H ≠−¾⅔÷⅞¬⅞ ⅔⅜ ⅞+⅞=≠÷⅔≠−÷ℓ ⅞ ¾⅝√ ⅞ ⅘+√ ¾ −⅜⅘Ĥ ÷⅔≠−÷=‰≈∫ ⅔÷ ⅞∫Ħ ≠−⅗⅜⅔ ≈ ⅘+√ ⅘¬Ω +⅘ ⅖ℓ − ⅜⅘¾≈≥‰⅞ ⅞H = ⅘⅜−¾⅔≠⅘ ∞+−H ⅖ℓ ⅔ ‰≈≤⅔ =¾−⅖−⅜+−⅗− ¾÷⅘ ⅘+⅞ ×−Ĥ ∂≠− ≈ √ ⅖ℓ ⅖− ⅘⅘ ⅔‰≠⅞¾⅘+ +⅔ =⅔%≠⅘Ħ ⅔¾⅘÷+−⅘H ×−∂≠− ≈ ⅘+√ =⅘%≤⅔= ⅞ +⅔⅝+⅔≤⅞ ⅞ −⅜⅘÷⅔≠−÷− ¾=⅘⅗− ⅜¾≈> ÷⅔⅝⅜⅘Ĥ −¾ <−÷≈ ⅔ Ĝ÷⅔+∞≥⅘ √ −⅜⅘÷⅞÷−¾⅔ ⅗−÷⅔⅝⅜− ⅖− ∞≥⅘ĞĦ ₋ +⅔=≤⅘≠ =−¾⅘≠−¾ √ ⅜⅔ ⅖ℓ ‰−⅘Ĥ‰− ≈ =−¾⅘≠ ÷⅔⅝÷⅘≥⅞≠∞ −⅜⅘÷⅔ ≈⅜⅔ √≠∞ ⅔≠⅘÷⅞⅔ ℓ −⅗≈ ⅜⅔≠∞ ≠− ∞‰− −⅜⅞+ ⅖≈⅜∞≠⅘ ⅔⅜⅘‰¾⅔≠+ℓ ⅞ ⅞ ‰−+=≠÷≈‰≠⅞¾+ℓ ⅞H ∂≠− ⅗ ⅔¾+−⅘ ×÷⅔Ĥ ¾⅞ − ⅜ √ ⅘+√H ×− ‰÷⅔%+⅘% ⅘÷⅘Ħ ≠÷Ħ ÌĪ

⅔⅜+−H ⅝⅔‰−+≤⅞ = ×÷⅘ ∫⅜⅞⅘% ⅞ ×⅘÷⅘%⅜⅘ ×−⅖ ⅞⅚⅘ ‰ ≠⅘⅖⅘ ⅞ ≠¾−⅘% ⅜⅘√≠⅘ ∞+−=≠⅞Ħ − +−⅗−≤⅞= ⅘++ℓ =‰÷⅞+≥−≠⅔ ⅞ =≠⅔≠∞√ ⅝⅔ ⅘≠+−H ≤≠− ≠ℓ −≠ ⅞≤+− ÷⅔⅝⅖⅞÷⅔⅘≥∞=√ ¾ ×⅘÷¾− ŐNM ⅞ ŐMOĦ ‰− ∞‰− ≠ℓ ≈⅚⅘ ÷⅔Ĥ ⅖−≠⅔⅘≥∞ = ⅞+=≠÷≈ ⅘+≠⅔÷⅞⅘ ×⅘÷¾−⅗− ∂ ⅔H ‰⅔‰⅔√ ⅖ℓ ⅔ ≠¾−√ ×⅘÷¾⅔√ ÷⅔⅖−≠⅔ ¾ +⅘ Ĺ H +⅔=≤⅘≠ ∂≠⅞> ⅜¾≈> ≠−¾⅔÷⅞¬⅘% √ =‰⅔⅚≈ ≤⅘=≠+− ⅞⅝≈≤⅞ ⅘≠−⅜− +⅔≈≤+−⅗− ≠ℓ‰⅔Ë ⅘ ⅞⅜⅘⅔ ∞+−H +− ¾=⅘ ⅚⅘Ħ ‰− ∞‰− ¾ ŐNMÍ ÷⅔⅖−≠⅔∫ √ ≈⅚⅘ ×⅞=⅔ ¾ℓ≥⅘H ⅔ − ŐMO ≈⅝Ĥ +⅔ ×÷⅞ ⅘÷+− ≠−⅗⅜⅔H ‰−⅗⅜⅔ +⅔≥⅘ VŤŲÙŬẀVVÙWŤĦŲẀ +⅔ ×÷−Ĥ =≠−÷⅔> ⅞+≠⅘÷+⅘≠⅔Ħ ₍ ĿĢĢ √ +−¾⅞≤−‰H ≠⅔‰ ‰⅔‰ ¾ ≥‰− ⅘ ≈≤⅞Ĥ ⅞ ≠− ∞‰− ÖŠVȘŠŨ ∫H ⅔ ¾ ≈+⅞¾⅘÷⅘ MŤŨŮUÙ Ĝ+⅔⅜⅘∫=∞ +⅔ ⅞⅝ ⅘Ĥ +⅘+⅞√ ¾ ⅖≈⅜≈¬⅘ ĞH ×−∂≠− ≈ ŐMO √ ≈≤⅞ +⅔≈⅗⅔⅜H ⅜⅔⅚⅘ ≤≠−Ĥ ≠− ×− ≈≤⅔ −=∞Ë − ×−≠− ≈ ⅘+√ ×− ⅘≠⅘ ⅚⅘=≠‰⅞% ⅜⅞=‰H ⅔ = +⅞ ⅞ ¾=⅘ +⅔÷⅔⅖−≠‰⅞ ⅜ √ >−÷÷−÷Ĥ −⅜⅔H ⅔ = +⅞ ⅞ Ĥ ⅞ ¾=Ω ⅚⅘ ⅔+⅞⅘ =+−¾⅔ ≤≠−Ĥ ⅞⅖− ⅜⅘ ⅔≠∞Ħ ⅔H ⅞ =‰⅔⅚≈ ≤⅘=≠+−H ≤≠− −+ ⅖ℓ ¾ℓ≥⅘ +⅘ −≤⅘+∞H ≠⅔‰ ‰⅔‰ ¾ ⅔××⅘÷=≠¾⅘ ≈ ⅘+√ ⅘¬Ω +⅘ ⅖ℓ − ⅜−=≠⅔≠−≤+−⅗− −×ℓ≠⅔Ħ ≠− ‰⅔=⅔⅘≠=√ ×⅘÷¾−% ÷⅔⅖−≠ℓ Ĥ ≤⅘=≠+−H √ ≈⅚⅘ ⅞ +⅘ ×−Ĥ +∫Ħ +⅔∫ ≠−≤+−H ≤≠− −+⅔ ⅖ℓ ⅔ −≤⅘+∞ =≠÷⅘ +−% ⅞ ‰¾⅔Ĥ ⅜÷⅔≠+−%H ⅖⅘⅝ ≠⅘+⅘% ⅞ ≠⅔‰ ⅜⅔ ⅘⅘Ħ − ≠⅔ ⅖ℓ ×−⅜℮⅘ +⅞‰Ë

ĦĦĦ₍ −⅖¬⅘ H ≠⅔‰ √ ⅞ +⅘ ×−⅞⅗÷⅔ ¾ ≠⅘ ¾÷⅘ ⅘Ĥ +⅔ ¾ +−÷ ⅔ ∞+ℓ% ŐŐÎĦ ⅔‰ ≤≠− = ⅔¾⅔ ⅞+≠⅘÷+⅘≠≈ ⅞ ≠−÷÷⅘+≠⅔ ⅝⅔ ‰⅔≤⅘=≠¾⅘++≈∫ −‰⅔ ⅞⅝⅔±⅞∫Ë ×√≠∞ ⅚⅘H ¾−⅝¾÷⅔¬⅔√=∞ ‰ ≠⅘ ¾×⅘≤⅔≠ √∫¬⅞ =‰÷⅞+Ĥ ≥−≠⅔ H ‰−≠−÷ℓ⅘ ≠ℓ ×−=≠⅞≥∞ ¾ ×−= ⅘⅜+⅘⅘ ¾÷⅘ √Ħ −=≠⅔¾∞Ĥ‰⅔ ≈⅚⅘ ¾=⅘ ≠−≤‰⅞ +⅔⅜ Ē⅞Ē ⅞ ÷⅔==‰⅔⅚⅞H +⅔‰−Ĥ +⅘±H +⅔⅜H ≤⅘ ≠ℓ =⅘%≤⅔= ÷⅔⅖−≠⅔⅘≥∞Ĺ ≠− ∂≠− ⅖≈⅜⅘≠ ⅝⅔ ‰⅔÷≠⅔ Ĝ⅞ ⅞ −⅜ĞH − ≤⅘ ⅖≈⅜⅘≠ ÷⅔==‰⅔⅝ℓ¾⅔≠∞=√ ¾ ⅘Ω =∫⅚⅘≠⅘Ħ ⅘¬⅘J ∂≠⅔ ‰⅔÷≠⅔ Ĥ ⅘⅜⅞+=≠¾⅘++ℓ% ≠¾−% ⅜⅘%=≠¾≈∫¬⅞% ×÷−⅘‰≠ +⅔ ⅜⅔++ℓ% − ⅘+≠ ⅞ ⅞ ⅚⅘ ⅘=≠∞ ⅘¬⅘ ≤≠−Ĥ≠−H +⅔⅜ ≤⅘ ≠ℓ ≈=⅞ ⅘++− ÷⅔⅖−≠⅔⅘≥∞Ĺ H √ ⅚⅘ ¾÷−⅜⅘ ≈⅚⅘ ≈×− ⅞+⅔ H ≤≠− ∂≠− ⅝⅔ ‰⅔÷≠⅔H +⅘≠Ĺ Ġ≈ ℓ⅖⅔⅘≠=√Ġ ⅕≠− ‰⅔÷≠⅔H ‰−≠−÷≈∫ √ =−⅝⅜⅔∫ ⅜ √ −⅜⅔ ØUŤ ŇŲŠŪT ŃÙŦUW −≠ ÑŤÜÙŪŦŚÑÙWŲŬŴVÛÙ ⅞ ⅘⅗− ‰− ⅔+⅜ℓ =≈×⅘÷Ĥ ⅝ −⅜⅘⅘¾Ħ ⅜⅔H ∂≠− −√ ⅘⅜⅞+=≠¾⅘++⅔√ +⅔ ⅜⅔++ℓ% − ⅘+≠ ÷⅔⅝÷⅔⅖−≠‰⅔Ħ −‰⅔ ≈≤⅞ =√H +⅘ ⅖ℓ − −=−⅖− +−⅗− ¾÷⅘ ⅘+⅞ ⅜ √ =−⅝⅜⅔+⅞√ ≤⅘⅗−Ĥ ⅞⅖− ⅜ √ ‰⅔÷≠ℓH ⅔ =⅘%≤⅔= ×÷⅞≥ − ⅘Ĥ ≠− ⅞ √ ≈⅚⅘ ¾⅝√ =√ ⅝⅔ ⅔+⅜≥⅔<≠ ∂≠− ⅖≈⅜⅘≠ ⅘= ĤĤL ×⅘Ĥ ¬⅘÷⅔ ĤĤL ×−⅜−⅖⅞⅘ ⅜⅘÷⅘¾≈≥‰⅞ H ⅔ = =∫⅚⅘≠− ×−‰⅔ ⅘¬Ω +⅘ −×÷⅘⅜⅘ ⅞ =√Ħ −⅚⅘≠H ⅖≈⅜⅘≠ ‰⅔‰⅔√Ĥ+⅞⅖≈⅜∞ ⅞==⅞√ ×− =×⅔=⅘+⅞∫ ‰−⅗−Ĥ ⅞⅖−H √ ×−‰⅔ +⅘ ⅝+⅔∫ ⅗ ⅔¾+−⅘ =⅘%≤⅔= ∂≠− −‰÷≈⅚⅘+⅞⅘H +⅔⅜ ‰−≠−÷ℓ √ ⅞ ÷⅔⅖−≠⅔∫Ħ ⅔‰⅚⅘ × ⅔+⅞Ĥ ÷≈⅘≠=√ +−⅗− =⅘‰÷⅘≠−¾Ħ H ‰−+⅘≤+−H >−≠⅘ −=∞ ⅖ℓ ×−÷⅔⅖−≠⅔≠∞ +⅔⅜ ≤⅘ Ĥ+⅞⅖≈⅜∞ ⅘¬ΩH +⅔×÷⅞ ⅘÷H ⅜⅔¾+− >−≤≈ ⅝⅔ ≈≠⅞≠∞ ⅞⅗÷≈Ħ −H ⅘= ⅞ √ +⅔Ĥ ≤+≈ =−⅝⅜⅔¾⅔≠∞ ⅘Ω ×⅔÷⅔ ⅘ ∞+− ‰⅔÷≠⅘ ¾− +⅘ ×÷−=+⅘≠=√ ⅔⅜=‰⅔√ ⅘+∞H ⅞ √ +⅘ =⅜⅘ ⅔∫ ¾−−⅖¬⅘ +⅞≤⅘⅗−Ħ ₋> ⅜⅔H ×⅔÷≈ ⅜+⅘% +⅔⅝⅔⅜ ‰≈×⅞ =⅘⅖⅘ ⅗÷⅔<⅞≤⅘=‰⅞% × ⅔+Ĥ ≥⅘≠H ≠⅘×⅘÷∞ ≈≤≈=∞H ×÷⅞¾ℓ‰⅔∫Ë

⅘ >−≤⅘≥∞ ×⅘÷⅘‰⅞+≈≠∞=√ ÷⅔⅖−≠⅔≠∞ +⅔ ŐNMĨŘĨHĪĹ = ⅞ +⅘≠ Ĥ ≠− ×−≤⅘ ≈Ĺ ⅛ ⅖ℓ = ÷⅔⅜−=≠∞∫ >−≠⅘ +⅔≤⅔≠∞ ⅞⅝+⅔≤⅔ ∞+− ⅜⅘ ⅔≠∞ ¾ ŐNMĨŘĨĦĪ ≠≈ ‰⅔÷≠≈H +⅔⅜ ‰−≠−÷−% √ =⅘%≤⅔= ÷⅔⅖−≠⅔∫H ≠⅔‰ ‰⅔‰ ≠⅔ ⅞ −⅜⅘ ⅞ ⅘⅗≤⅘ ⅞ ×−÷≠⅞÷−¾⅔≠∞H ⅞ ×− ⅞⅗−+−¾ ×−Ĥ ⅖− ∞≥⅘Ħ −H ≠⅔‰ ‰⅔‰ ØŇŃ Ĥ ∂≠− −⅜ ⅜ √ ×⅘÷¾−⅗− ∂ ⅔H ⅜⅔ ⅞ +−≈≠ ≈ ⅘+√ ×ℓ>≠⅞≠ ⅞ ⅗÷⅘⅘≠=√H = −¾+− ×⅔÷−¾−⅝H ×÷⅞ ⅞⅗÷⅘ ¾ ŐŐĨ = ŃÖŐ ÷⅔¾+ℓ ĪĤÍÌH ≠− ∂≠− +⅘ ×÷⅘⅜=≠⅔¾ √⅘≠=√ ¾−⅝ −⅚+ℓ Ħ ⅛ ≈¾⅔⅚⅔∫ ≠≈ ÷⅔⅖−≠≈H ‰−≠−÷≈∫ ×÷−⅜⅘ ⅔ ⅞ +⅔≥⅞ >−÷¾⅔≠=‰⅞⅘ ⅜÷≈⅝∞√ ×÷⅞ =−⅝⅜⅔+⅞⅞ +−¾ℓ> ŐNM −¾H +− ×− +⅘ ≠⅔‰H ×⅘÷¾ℓ% ŐNM +⅘⅝⅔ ⅘+⅞ Ë ⅚ ⅖− ∞+− ¾ +⅘ ≈⅜−⅖+− ⅞ ⅘⅗‰− ÷⅔⅖−≠⅔≠∞H ×− =÷⅔¾+⅘+⅞∫ = ×−= ⅘⅜−¾⅔≠⅘Ĥ √ ⅞Ħ ⅜+⅔‰−H ∂≠− ≤⅞=≠− −⅘ +⅘+⅞⅘H ‰≠−Ĥ≠− −⅚⅘≠ ⅞ +⅘ =−⅗ ⅔Ĥ =⅞≠∞=√Ħ +−⅗⅞⅘ ⅝+⅔∫≠ ≠⅘⅖√ ≠⅔‰⅚⅘ ‰⅔‰ ⅞ >−÷−≥⅘⅗− ‰− ×−⅝⅞Ĥ ≠−÷⅔Ħ ℓ ≤⅔=≠⅘+∞‰− ¾ℓ‰ ⅔⅜ℓ¾⅔⅘≥∞ ¾ ≈⅝ℓ‰⅔ ∞+−% ≠⅘ ⅘ =¾−⅞ ÷⅔⅖−≠ℓ ⅞ ⅖⅘⅝ ≠⅘+⅞ =− +⅘+⅞% =‰⅔⅚≈H ≤≠− ⅞ ⅘++− ⅖ ⅔⅗−⅜⅔÷√ ≈⅝ℓ‰⅘ √ ⅞≤+− √¾ √∫=∞ <⅔+⅔≠− ≠¾−⅘⅗− ≠¾−÷≤⅘=≠¾⅔Ħ ₍ ≤⅘ ⅞ ‰⅔‰ ≠ℓ ×⅞≥⅘≥∞ ≈⅝ℓ‰≈Ĺ ⅔‰ ×÷⅞>−⅜⅞≠ ¾⅜−>+−¾⅘+⅞⅘ ⅜ √ +−¾ℓ> ≠÷⅘‰−¾H −≠‰≈⅜⅔ ⅖⅘÷≈≠=√ ⅘ −⅜⅞⅞Ĺ ŐŤŲÙŬẀVŨXĹ ⅔⅜+−H +÷⅔¾⅞≠=√H +− ≤≠−⅖ℓ ×÷√ <⅔+⅔≠Ĺ ⅛ ×−Ĥ ∞¬⅘+H =×⅔=⅞⅖−Ë Ġ= ⅘⅘≠=√Ġ ≈H √ +⅘ =≤⅞≠⅔∫ =⅘⅖√ ≠⅔‰⅞ ≈⅚ >−÷−≥⅞ ‰− ×−⅝⅞≠−Ĥ ÷− H ⅘= ⅞ ‰− ×−⅝⅞≠−÷− ¾−−⅖¬⅘H ≠⅔‰ ‰⅔‰ ≈ ⅘+√ ⅜⅔⅚⅘ +⅘≠ ≈⅝ℓ‰⅔ ∞+−⅗− −⅖÷⅔⅝−¾⅔+⅞√H √ +⅘ ⅝+⅔∫ +−≠H ⅞ ≠− ∞‰− =−¾=⅘ +⅘⅜⅔¾+− ≈⅝+⅔ H ‰⅔‰ ⅜⅘ ⅔≠∞ ⅖− ⅘⅘Ĥ ⅘+⅘⅘ =+−=+ℓ% ⅔=≠⅘÷⅞+⅗Ħ ⅔⅖−≠⅔∫ ¾ ŃÒ ŐWẀTÙŬ ÍÌH ×−⅜≈ ⅔¾⅔∫ =‰−÷− ×⅘÷⅘%≠⅞ +⅔ ⅖−Ĥ ⅘⅘ ×÷−<⅘==⅞−+⅔ ∞+ℓ% =−<≠H ≠⅞×⅔ ŌẀŞŠVŤĦ +=≠÷≈ ⅘+≠ℓ ⅜ √ ÷⅔⅝+ℓ> ‰− ×−⅝⅞±⅞% ÷⅔⅝+ℓ⅘ Ĝ‰∂×ĞH +−H ¾ −=+−¾+− ∂≠−J ₎⅞≠⅔÷⅔Í ₎⅞≠⅔÷⅔Î − − ₎⅞≠⅔÷⅔Í − − ₎⅞≠⅔÷⅔Î ₌⅔= ₎⅞≠⅔÷⅔ ⅜⅔÷+ℓ⅘ ⅔ ∞≥⅘ ⅞⅜≈≠ ×÷⅞ −≤‰⅞H +⅔×−⅜−⅖⅞⅘ =≠÷≈++ℓ>H =⅞+≠⅘⅝⅔≠−Ĥ ÷−¾ ⅞ ≠Ħ⅜ĦĦ √ ⅗⅞≠⅔÷ ⅞=×− ∞⅝≈∫ ŒŐØÙJ ŎŤŠŨÒÖĿ Ĝ÷⅔+⅘⅘ ŎŤŠŨŐWŲŠWĞ Ģ ŇẀÙWŠŲŎÙŦ Ī Ĝ÷⅔+⅘⅘ ŇẀÙWŠŲŎÙŦ ĨĤÏĞ ∂≠− = +⅘⅜⅔¾+⅘⅗− ¾÷⅘ ⅘Ĥ +⅞H ⅔ ⅗⅜⅘Ĥ≠− ⅗−⅜⅔ ≠⅔‰ ÎĤĨ +⅔⅝⅔⅜ √ ⅞=×− ∞⅝−¾⅔ =≠⅔+⅜⅔÷≠Ĥ +ℓ% ŐŨŠXŤŲH ¾−≠ ∂≠− ⅖ℓ − ≈⅖−⅗−Ħ ŒŐØÙ ⅜ √ ⅖⅔= ⅗⅞≠⅔÷ℓJ ŁŲŬŬÜVWÙȘÛ ŁŠVV Ĝ÷⅔+⅘⅘ =≠⅔+⅜⅔÷≠+ℓ% ŁŬŬŁŠVVĞ Ģ ≠−≠ ⅚⅘ ŇẀÙWŠŲŎÙŦĦ ŒŐØÙ ⅜ √ ≈⅜⅔÷+ℓ>J ĻTTÙȘWÙẂŤ MŲẀÜV Ĝ÷⅔+⅘⅘ NYMŲẀÜÜŤŲĞ Ģ ŐŬẀŪTŦŬŬTÙYŤŲ Ĝ=≠⅔+⅜⅔÷≠+⅔√ >÷⅘+−¾⅞+⅔ĞH ⅔ ÷⅔+∞≥⅘ √ ⅞=Ĥ ×− ∞⅝−¾⅔ =≠⅔+⅜⅔÷≠+ℓ% ŃÖĿ ⅘= ⅞ ¾ℓ ×−+⅞ ⅔⅘≠⅘ − ≤⅘ √Ħ ⅕≠− ⅖ℓ ⅔ ≠⅘>+⅞≤⅘=‰⅔√ ≤⅔=≠∞Ħ

≠÷Ħ ÌĬ

₋ ≤≠− ⅜− ¾⅜−>+−¾⅘+⅞√ −+− ×÷⅞>−⅜⅞≠ =⅔ − ×− =⅘⅖⅘H ¾ =⅔Ĥ ℓ⅘ +⅘−⅚⅞⅜⅔++ℓ⅘ − ⅘+≠ℓĦ ⅔×÷⅞ ⅘÷H ⅜¾⅔ +⅘⅜⅔¾+⅞> ≠÷⅘‰⅔H ‰−≠−÷ℓ⅘ √ ¾ℓ −⅚⅞ +⅔ <−÷≈ H ⅖ℓ ⅞ +⅔×⅞=⅔+ℓ ¾ −≤⅘+∞ × −>− +⅔=≠÷−⅘+⅞⅞H +− ×− ≈≤⅞ ⅞=∞H +⅔ −% ¾⅝⅗ √⅜H ¾⅘=∞ ⅔ +⅘× −>⅞ ⅞Ħ ⅛ ×ℓ≠⅔∫=∞ ≈ ≈≤≥⅔≠∞ ⅝¾≈≤⅔Ĥ +⅞⅘Ħ ⅘ −⅜⅞⅞ ¾ −=+−¾+− ×÷⅞>−⅜√≠ ⅞⅝ ⅗− −¾ℓ ⅞ ⅞ ⅞⅝ ÷⅔+⅜− +−⅗− =≠≈≤⅔+⅞√ ×− ‰ ⅔¾⅞⅔≠≈÷⅘ ⅞+−⅗⅜⅔ ×− ≈≤⅔⅘≠Ĥ =√ × −>− ⅞ ×÷⅞>−⅜⅞≠=√ ×⅘÷⅘⅜⅘ ℓ¾⅔≠∞Ħ − ∂≠−H ¾ −=+−¾Ĥ +− H ‰−⅗⅜⅔ ¾⅜−>+−¾⅘+⅞√ +⅘≠Ħ ℓ ⅝⅔×⅞=⅔ ¾×⅘≤⅔≠ √∫¬⅞% =⅔≈+⅜≠÷⅘‰ ‰ ĒĻŲŲÙẂŠŨ ŬȚ MŠŲÛ ŐŠÜĒ −≠ ⅘+≥⅞Ħ ≈≤⅔%+− +⅘ ≈≤⅔=≠¾≈⅘≥∞ Ĝ‰⅔‰ ‰− ×−⅝⅞≠−÷Ğ ¾ ÷⅔⅖−≠⅘ +⅔⅜ ⅜÷≈⅗⅞ ⅞ ×÷−⅘‰≠⅔ ⅞ Ĝ¾ ≠− ≤⅞= ⅘ =⅔ −⅗−Ĥ⅚⅘ ⅘+≥⅞ĞĹ ⅘>⅘>H +⅘ =‰⅔⅚≈H ‰−+⅘≤+−H ≤≠− =≤⅞≠⅔∫ ⅘⅗− ¾×⅘≤⅔≠ √∫Ĥ ¬⅞ H ≠⅔‰ ‰⅔‰ √ ≠−⅗⅜⅔ ≠− ∞‰−Ĥ≠− ∞‰− +⅔≤⅔ =−≤⅞+√≠∞ ≤≠−Ĥ ≠− ⅜⅘ ∞+−⅘H ≠ℓ +⅘ = ℓ≥⅔ −⅞> =≠⅔÷ℓ> ÷⅔⅖−≠ Ĝ¾×÷−≤⅘ H ∂≠− ⅞ >−÷−≥−H +⅘ >−≤≈ ×−⅝−÷⅞≠∞=√ĞË ₌− ∞≥⅞+=≠¾− ≠÷⅘‰−¾ ⅜ √ =⅔≈+⅜⅔ ⅜⅘ ⅔ −=∞ ⅜− ⅗−H ≠⅔‰ ‰⅔‰ +⅘ ⅖ℓ − ≠−⅗− =⅔ −⅗− ¾⅜−>+−¾⅘+⅞√H ⅞ ⅜⅔⅚⅘ =⅘%≤⅔= √ ⅞ ⅞ +⅘ ⅜− ‰−+±⅔ ⅜−¾− ⅘+Ħ − ∫⅜√ ×−+÷⅔¾⅞ −=∞H ⅝+⅔≤⅞≠ ¾=⅘ +−÷ ⅔ ∞+−Ħ ⅔⅜ ⅜÷≈⅗⅞ ⅞ ×÷−⅘‰≠⅔ ⅞ ¾ ‰⅔≤⅘=≠¾⅘ ‰− ×−⅝⅞≠−÷⅔ +⅘ ÷⅔Ĥ ⅖−≠⅔∫ Ĝ+⅘≠ ⅚⅘ ⅔∫¬⅞>ĞH ≠− ∞‰− ¾−≠ +⅘⅜⅔¾+− ⅘+≈ =⅜⅘ ⅔ ÷⅘ ⅞‰= +⅔ ≠÷⅘‰ ⅞⅝ −⅜+−% =≠⅔÷−% ⅞⅗÷≈ ∞‰⅞H ⅜ √ ⅘⅗− +−¾−Ĥ ⅗− ×÷−⅘‰≠⅔Ħ ₍=⅘ ¾−×÷−=ℓ ×− ∂≠− ≈ ×−¾−⅜≈ ‰ +⅘ ≈Ħ ₍−≠ ≠ℓ +⅔¾⅘÷+√‰⅔ = ⅘⅜⅞≥∞ ⅝⅔ ¾=⅘% ∂≠−% ‰−≠−¾⅔=⅞⅘% = ×−= ⅘⅜+⅞ ⅞ MÒĿ ⅜ √ ŐŤŲÙŬẀV ŐŠÜ ÑM ⅞ ŐŐĨĦ ÒÕØŁ −‰⅔Ĥ ⅝⅔ =√ ⅜−¾− ∞+− ×−=÷⅘⅜=≠¾⅘++ℓ ⅜−×− +⅘+⅞⅘ H ⅜⅘%Ĥ =≠¾⅞⅘ ‰−≠−÷−⅗− ×÷−⅞=>−⅜⅞≠ ¾ +⅔ −⅝− ⅞¾≥⅘ ¾=⅘ ⅞⅗÷−‰⅔ ⅗ ⅔⅝⅔ ⅗⅞×≠⅘H Ē ⅘ ≤≈⅚⅞+⅔ ⅞ ⅔Ē ≠⅔‰⅚⅘ ≈⅚⅘ −⅜+⅞ =¾−⅞ ⅔+−+=− +⅞ ≤⅘÷≠⅔ +⅘ ¾×⅘≤⅔≠ √⅘≠Ħ ⅔‰−¾− ≠¾−⅘ +⅘+⅞⅘ ×− ×−¾−⅜≈ ¾=⅘> ∂≠⅞> >−÷¾⅔≠=‰⅞> ×−≠≈⅗ ⅞ = ⅔⅖ℓ> ⅜−×− +⅘+⅞%Ĺ ⅔‰ ≠ℓ ⅜≈ ⅔⅘≥∞H ÷−Ĥ ≠⅞ −¾±ℓ ⅜⅘%=≠¾⅞≠⅘ ∞+− Ē+⅘ −⅗≈≠ ¾ MÒĿĒH ≈ +⅞> +⅘≠ ⅜ √ ∂≠−⅗− ≠⅔ ⅔+≠⅔ ⅞ ⅞ <⅔+≠⅔⅝⅞⅞ ⅞ ⅞ ⅚⅘ ⅔+⅞√H ⅞ ⅞ ⅚⅘ ÷⅔⅝÷⅔⅖ℓ ⅜⅘%=≠¾⅞≠⅘ ∞+− =⅞ ∞+− ⅝⅔+√≠ℓ ×−÷≠⅔ ⅞ ≠÷⅘≠∞⅘% ≤⅔=≠⅞ +⅔ ¾=⅘¾−⅝ −⅚+ℓ⅘ ‰−+=− ⅞ ⅞ H ×−∂≠− ≈ +⅘ −⅗≈≠ ×≈=≠⅞≠∞ ¾=⅘ =⅞ ℓ +⅔ ×−Ĥ+⅔Ĥ =≠−√¬⅘ ≈ =≠−√¬≈∫H +−¾≈∫H =∫⅚⅘≠+≈∫ ‰⅔ ×⅔+⅞∫ = +−÷ ⅔ ∞+ℓ ⅞ ⅖−==⅔ ⅞H ⅗⅘% ⅜⅞⅝⅔%+− ⅞ ⅜⅘%=≠¾⅞⅘ ‰−Ĥ ≠−÷−⅗− ⅖≈⅜⅘≠ ×÷−⅞=>−⅜⅞≠∞ ₍ ₎ Ĺ H +⅔ ∂≠≈ ≠⅘ ≈ √ ⅗−≠−¾ ¾−÷≤⅔≠∞ =‰− ∞‰− ≈⅗−⅜+−Ë = ⅞ =⅘÷∞⅘⅝+−H ≠−H ‰−+⅘≤+−H ∂≠− −≤⅘+∞ ×⅘≤⅔ ∞+− ≤≠− ÷−≠ℓ ×ℓ≠⅔∫≠=√ ¾×⅔÷⅞≠∞ +⅔ =÷⅘⅜+⅘⅗− ‰⅔≤⅘=≠¾⅔ ⅔×Ĥ ×⅔‰ ĜÒÕØŁĞH ¾−⅝ −⅚+− ⅜⅔⅚⅘ +⅘ ¾ ×−= ⅘⅜+⅞% ÷⅔⅝H ⅗ √⅜√ +⅔ ∂≠⅞ ÷⅔⅝√¬⅞⅘ ¾−−⅖÷⅔⅚⅘+⅞⅘ =‰÷⅞+≥−≠ℓ ŊÕØÔĦ +⅞ −⅗≈≠ ¾ MÒĿ H ⅘¬Ω ‰⅔‰Ë ÷−=≠− √¾+− ⅝⅔ ⅘≠+−H ≤≠− ÒÕØŁ ⅜⅘ ⅔ ⅞ +⅘ −+⅞ ≈⅚⅔=+ℓ% ⅖⅔ ⅔+= −÷≈⅚⅞√I×⅔≠÷−+−¾ ⅞ ‰÷⅞¾−⅘ ÷⅔=×− −⅚⅘+⅞⅘ ¾÷⅔⅗−¾ ≠− ≈ ×−⅜≠¾⅘÷⅚⅜⅘+⅞⅘H ÷−≠ℓ ⅖ℓ ≠⅔‰−⅗− +⅘ ⅜−×≈=≠⅞ ⅞Ħ ⅞⅝⅔%+ ≠⅔ >−÷−≥⅞%H ⅜⅔H +− ≠− ∞‰− ×−≠− ≈H ≤≠− ⅘⅗− ‰⅔‰ ÷⅔⅝ ≠⅔‰⅞ +⅔≥⅞ >−÷¾⅔≠Ĥ =‰⅞⅘ ⅜÷≈⅝∞√ ÷⅔⅝÷⅔⅖−≠⅔ ⅞ ¾ ⅜⅔ ⅘‰⅞> ⅜⅘¾√+−=≠ℓ>H +− +⅘

¾‰ ∫≤⅞ ⅞ ¾ ‰−+⅘≤+ℓ% ×÷−⅜≈‰≠ ŐŐJ ØŃNĦ ⅔⅜+−H ⅜−×≈=≠⅞ H ⅜⅔ ⅞ −+⅞ ‰⅔‰⅞ Ĥ≠− ≈⅖⅘÷Ĥ ⅔××⅘÷⅔ ⅞=Ĥ >−⅜+⅞‰⅞ ∂≠⅞> ‰⅔÷≠ ⅞ +≈ ⅔H +− ‰⅔‰ −+⅞ −⅗ ⅞ ×≈=≠⅞≠∞ ∂≠− ¾ ×÷−⅜⅔⅚≈Ĺ +⅞ ¾−−⅖¬⅘ ≠⅘=≠⅞÷−¾⅔ ⅞ ≠−H ≤≠− +⅔⅜⅘ ⅔ ⅞ ≠⅘ ÷≈‰−⅜⅘ ∞+⅞‰⅞Ĺ ⅕≠⅞ ¾−×÷−=ℓ −=≠⅔∫≠=√ ⅜ √ ⅘+√ ⅖⅘⅝ −≠¾⅘≠−¾Ħ − ⅚⅘ =⅔ −⅘ =⅘%≤⅔= ×÷−⅞=>−⅜⅞≠ ⅞ = ŊÕØÔH =≈⅜√ ×− =‰÷⅞+≥−≠⅔ ≠⅔‰−⅘ ⅚⅘ −⅜+−−⅖÷⅔⅝+−⅘ ⅘⅗⅞×⅘≠=‰−⅘ −‰Ĥ ÷≈⅚⅘+⅞⅘H ≠⅘ ⅚⅘ −+=≠÷ℓH ≠− ⅚⅘ ¾−−÷≈⅚⅘+⅞⅘Ħ −⅖⅔¾⅞ ⅞ ÷⅘×≠⅞ −⅞⅜⅔ ×− −⅘ ≈H ∂≠− ≈⅚⅘ =−¾=⅘ ⅞⅝⅜⅘¾⅔≠⅘ ∞=≠¾−Ħ =×− ∞⅝−¾⅔≠∞ −⅜+−⅗− ⅞ ≠−⅗− ⅚⅘ −+=≠÷⅔ ₍ ¼ ₎ ĹË PǾØËĹ +≈ ¾ ‰⅔≤⅘=≠¾⅘ ⅞+⅞Ĥ⅖−==⅔ ¾ ⅜−Ĥ ×− +⅘+⅞⅞ ⅜ √ ÑM ¾ℓ⅗ √⅜⅘ >−≠∞ ‰⅔‰Ĥ≠− −÷⅞⅗⅞+⅔ ∞+⅘⅘Ħ ⅛ ⅜≈ ⅔∫H ≤≠− ∂≠⅞ +⅞⅝‰−=−÷≠+ℓ⅘ MÒĿ ⅜⅘ ⅔∫≠=√ ⅜ √ ≠⅘> ⅗⅘% ⅘÷−¾H ‰−≠−÷ℓ⅘ ≠− ∞‰− +⅘⅜⅔¾+− ×−⅝+⅔‰− ⅞ ⅞=∞ = ŐŤĤ ŲÙŬẀV ŐŠÜH ‰−≠−÷ℓ> ⅘¬Ω +⅘ ≠√+⅘≠H ×⅔÷⅜−+H ⅖ ⅘¾⅔≠∞ −≠ ∂≠−Ĥ ⅗− ×⅘=≤⅔+−⅗− ‰−÷− ⅘¾=≠¾⅔ Ħ − ⅘=≠∞ ĿŲŬWŤŠÜ ⅜⅔⅘≠ ⅔≠⅘Ĥ ÷⅞⅔ ‰⅔‰⅞ Ĥ≠− ⅘¾ℓ ⅔××⅘÷⅔ −+⅞ ⅘×√≠ ≤≠−Ĥ+⅞⅖≈⅜∞ −≠ ⅖⅔ ⅜ℓ ∂≠− ¾=⅘ ¾×⅔÷⅞¾⅔⅘≠=√ +⅔ ⅝⅔ ÍÌ ⅖⅔‰=−¾ ĹĹĹ ÖŎÕŃŅØ ŃÕŎ ØÑN ĿÕÓÖĻÔQĦ ∂≠− ×⅘≤⅔ ∞+−Ħ −≠∞ ⅖ℓ −⅜⅞+ +−¾ℓ% ¾⅞⅜ −÷≈⅚⅞√H +−¾−⅗− ¾÷⅔⅗⅔H +≈ ⅚⅘Ĺ ⅕> ⅘≤≠⅔∫ − ≠− H ≤≠−⅖ℓ ¾ℓ×≈=≠⅞ ⅞ ŐMO ⅜ √ ŐŐĨ ¾−≠ ∂≠− ⅖ℓ − ⅖ℓ =≤⅔=≠∞⅘Ħ ≈=≠∞ ⅜⅘ ⅔∫≠ =¾−⅞ ×−÷≠ℓ ×−⅜ ‰−+=− ⅞H ×÷⅘⅜=≠⅔¾ √∫H ‰⅔‰ ⅖≈⅜⅘≠ ¾⅘=⅘ − ∫⅜√ −≤⅞≠∞ =−≠+⅞ ¾÷⅔⅗−¾H ⅞=×− ∞⅝≈√ ⅗⅘% ×⅔⅜Ħ ⅞ ≤≠−H ⅖≈⅜⅘≠ ⅔¾≠−×÷⅞±⅘ ⅞¾⅔+⅞⅘ ⅞ ¾−==≠⅔+⅔Ĥ ¾ ⅞¾⅔∫¬⅘⅘=√ =− ¾÷⅘ ⅘+⅘ ⅝⅜−÷−¾∞⅘ĹĹĹ

ĦĦĦ⅛ ≈¾⅔⅚⅔∫ ≠≈ ÷⅔⅖−≠≈H ‰−≠−÷≈∫ ×÷−⅜⅘ ⅔Ĥ ⅞ +⅔≥⅞ >−÷¾⅔≠=‰⅞⅘ ⅜÷≈⅝∞√ ×÷⅞ =−⅝⅜⅔+⅞⅞ +−¾ℓ> ŐNM −¾H +− ×− +⅘ ≠⅔‰H ×⅘÷¾ℓ% ŐNM +⅘⅝⅔ ⅘+⅞ Ë ⅚ ⅖− ∞+− ¾ +⅘ ≈⅜−⅖+− ⅞ ⅘⅗‰− ÷⅔⅖−≠⅔≠∞H ×− =÷⅔¾+⅘+⅞∫ = ×−= ⅘⅜−¾⅔≠⅘ √ ⅞Ħ ‰⅘%H ×⅘÷⅘%⅜⅘ ‰ ⅜⅘ ⅔ ⅖− ⅘⅘ +⅔=≈¬+ℓ Ħ ⅘ −⅗≈ +⅘ ×−⅜+√≠∞ ≠⅘ ≈H ‰−≠−÷⅔√ −⅖√⅝⅔≠⅘ ∞+− ⅝⅔⅜⅘+⅘≠ Ĝ¾ × −Ĥ >− ⅞ ¾ >−÷−≥⅘ = ℓ= ⅘ ∂≠−⅗− = −¾⅔Ğ +−⅗⅞> ≤⅞≠⅔Ĥ ≠⅘ ⅘%Ħ ÓX ÒÙWWŨŤ ÖŬŪXĦ ÷−=≠⅘%≥⅞% ⅖ ⅞±Ĥ−×÷−=J ⅔Ğ =‰− ∞‰− ¾÷⅘ ⅘+⅞ ≈⅚⅘ √¾ √⅘≥∞=√ ⅖÷−+⅞ ⅞ = −≠÷⅞≥∞ ÓÒÖĹ ⅖Ğ ∫⅖⅞ ℓ% ×⅘÷=−+⅔⅚ =⅘÷⅞⅔ ⅔Ĺ ¾Ğ ≠ℓH +⅔¾⅘÷+−⅘H ×− +⅞≥∞ ÷⅘⅔‰±⅞∫ +⅘‰−≠−÷ℓ> ∫Ĥ ⅜⅘%Ĝ≠Ħ+Ħ ×−+⅞>⅘%≠⅘÷−¾Ğ +⅔ ×−+⅞ ⅞ ∫⅜⅘%H ‰−≠−÷ℓ +÷⅔¾⅞≠=√ =⅘÷⅞⅔ Ħ ⅔‰ ⅜≈ ⅔⅘≥∞H ≤⅘ ¾ℓ⅝¾⅔+ℓ ≠⅔‰⅞⅘ ⅖≈÷+ℓ⅘ ×−≠−‰⅞ +⅘+⅔¾⅞=≠⅞ +⅔ ⅜−⅖÷ℓ% ⅞ ‰÷⅔=⅞¾−H −⅚Ĥ +− ⅜⅔⅚⅘ =‰⅔⅝⅔≠∞H = ⅜≈≥−% =+√≠ℓ%H =⅘÷⅞⅔ Ĺ −÷−≥⅞% ¾−×÷−=H +⅘ ≠−⅚⅘ +⅔⅜−⅘ ⅞ ∂≠⅞ ×−=≠−√++ℓ⅘ >−Ĥ ⅞¾⅔÷ℓ +⅔ ×−≤¾⅘ ÓÒÖĦ ⅔Ğ −≠÷∫ √ ⅞> ×÷⅞ ⅘÷+− ⅘=√±⅔ ⅜¾⅔Ĥ≠÷⅞H +⅘ ⅝+⅔∫ ≠−≤+− = −≠÷∫ ×− −⅜+−% =⅘÷⅞⅞ ¾ +⅘⅜⅘ ∫H ⅞+⅔≤⅘H ⅘= ⅞ +⅔≤⅔≠∞ ⅔÷⅔<−+H ≠− ≈⅚⅘ +⅘ −=≠⅔+−¾ ∫=∞ ⅞ ≈⅜−¾− ∞=≠¾⅞⅘ ⅝⅔‰−+Ĥ ≤⅞≠=√ −≤⅘+∞ ⅖ℓ=≠÷−Ħ ⅚⅘ ⅜−⅖÷⅔ =√ ⅜− =⅘÷⅘⅜⅞+ℓ ¾≠−÷−⅗− =⅘⅝−+⅔Ħ ⅘ ×⅘÷⅘+−≥≈ ≈⅖−⅗≈∫ ÷≈==‰≈∫ −⅝¾≈≤‰≈H ≠− ∞‰− −÷⅞⅗⅞+⅔ H ≠− ∞‰− >⅔÷⅜‰−÷Ë ≠÷Ħ Ìİ

⅖Ğ ₋ ₌ ₍ ≠÷≈⅜+− =‰⅔⅝⅔≠∞H ‰≠− =⅔ ℓ% ∫⅖⅞Ĥ ℓ%H −+⅞ ¾=⅘ ÷⅔⅝+ℓ⅘H ⅞ ⅘∫≠ ⅞+⅜⅞¾⅞⅜≈⅔ ∞+ℓ⅘ ≤⅘÷≠ℓ >⅔Ĥ ÷⅔‰≠⅘÷⅔H ⅔+⅘÷≈ ×−¾⅘⅜⅘+⅞√ −H ⅜≈ ⅔∫H ⅔≠≠⅘÷≥⅔%H −=−⅖⅘++− ‰−⅗⅜⅔ ¾ ⅗+⅘¾⅘ Ĝ×÷⅞ ⅘÷J ×−= ⅘⅜+⅞% ∂×⅞⅝−⅜ ×⅘÷¾−⅗− =⅘⅝−+⅔ĞĦ ¾Ğ ⅜⅔H √ ×− +∫ ÷⅘⅔‰±⅞∫ ∂≠⅞> ⅜¾≈>Ĥ≠÷⅘> ∫⅜⅘%H ⅜⅔Ĥ⅜⅔H ¾⅔=H ÷⅘⅖√≠⅔Ë ⅛ ¾⅔= ¾⅞⅚≈Ë ⅔ √ ⅞ =⅔ ⅖ℓ ×−≤≠⅞ ‰⅔‰ ∂≠⅞ ÷⅘⅖√≠⅔ ‰−⅗⅜⅔Ĥ≠−H +−H ×÷⅔¾Ĥ ⅜⅔H +⅘ +⅔=≠− ∞‰− ≈×−÷−≠ℓ Ħ ÷−=≠− −⅜+⅔⅚⅜ℓ √ ÷⅘≥⅞ ¾⅝√≠∞ ⅞ ×−= −≠÷⅘≠∞ =⅔ =⅘÷⅞⅔ H ⅔ ≠− ‰⅔‰Ĥ≠− ∂≠− ×−Ĥ ⅞⅜⅞−≠=‰⅞ ¾ℓ>−⅜⅞≠ √ +⅘ ×⅘÷⅘+−≥≈ =⅘÷⅞⅔ H ⅔ =⅔ ⅘⅗− ⅜⅔⅚⅘ +⅘ = −≠÷⅘ Ë −+ +⅘ ×−+÷⅔¾⅞ =√H ⅜⅔⅚⅘ −≤⅘+∞Ë ⅛ ≈⅚⅘ ×⅞=⅔ H ≤≠− = −≠÷∫ ×− ∂×⅞⅝−⅜≈ ¾ +⅘⅜⅘ ∫H ≤≠−⅖ −+ ×−⅜− ∞≥⅘ +⅘ ‰−+≤⅔ =√Ħ ₋ ∂≠⅞ >⅘%≠⅘÷ℓ ₎⅜⅘Ĥ≠− +⅔ <−÷≈ ⅔> √ ≈⅚⅘ ×⅞=⅔ H ≤≠− ¾−Ĥ −⅖¬⅘ +⅘ ×−+⅞ ⅔∫H ‰⅔‰ −+⅞ −⅗≈≠ −≠=≠⅔⅞¾⅔≠∞ =¾−∫ ≠−≤‰≈ ⅝÷⅘+⅞√ ¾⅞⅜⅔ =⅘÷⅞⅔ ₎ H ‰−⅗⅜⅔ ×−=≠−√++− ¾ℓ‰ ⅔⅜ℓĤ ¾⅔∫≠ ‰⅔÷≠⅞+‰⅞H ⅗⅜⅘ ×−+⅞ ÷⅔=≤ ⅘+√∫≠H +⅔=⅞ ≈∫≠H ÷≈⅖√≠ ⅞ ≠⅔‰ ⅜⅔ ⅘⅘Ë ⅕≠− ×÷⅞⅝+⅔‰ ⅔⅜⅘‰¾⅔≠+−=≠⅞ Ĥ ≈ ⅘÷¬¾ ⅘+⅞⅘ ⅚⅞¾−≠+ℓ>Ĺ ≈ +⅞> ×÷−=≠− +⅘≠ ⅜÷≈⅗⅞> ⅔÷⅗≈ ⅘+≠−¾H ‰÷−Ĥ ⅘ ‰⅔‰ ₎ĠĠ ËËË H ¾‰≈×⅘ = ‰⅔‰−%Ĥ+⅞⅖≈⅜∞ ¾ℓĤ ≥⅘−×⅞=⅔++−% ⅗⅞<‰−%Ĺ ⅞‰⅔‰−% −⅖℮⅘‰≠⅞¾+−=≠⅞H ≠− ∞‰− ⅖⅘=±⅘ ∞+⅔√ +⅘+⅔¾⅞=≠∞Ħ ₍ ≠− ¾÷⅘ √ ‰⅔‰ <⅔+⅔≠ℓH ŠÛŠ ⅖÷−+⅞ H ⅗−¾−÷√≠ =×−‰−%+−H +⅞‰−⅗− +⅘ ×÷⅞≠⅘=+√∫≠H ≠− ⅘=≠∞ ×−=≠≈×⅔∫≠ ≠⅔‰H ‰⅔‰ =⅔ ⅞ ×−+⅞ ⅞⅝ =⅘÷⅞⅔ ⅔H ‰⅔‰ ⅖ℓ ⅝⅔⅖⅔¾+− ∂≠− +⅘ ⅝¾≈≤⅔ −Ħ ⅛ ¾−−⅖¬⅘ +⅘ ⅝+⅔∫ ×÷⅞≤⅞+ +⅘+⅔¾⅞⅜⅘≠∞ ∂≠−≠ ≤≈⅜⅘=+⅘%Ĥ ≥⅞% ≈ ∞≠=⅘÷⅞⅔ Ħ ₍ ≤⅘ ⅝⅔‰ ∫≤⅔∫≠=√ ×÷⅘⅜×−=ℓ ‰⅞ ‰ ≠⅔‰−% +⅘⅗⅔≠⅞¾+−% ÷⅘⅔‰±⅞⅞Ĺ −H ≤≠− ≠⅔ ×÷⅔‰≠⅞≤⅘=‰⅞ ¾=⅘ ⅗ ⅔¾+ℓ⅘ ⅗⅘÷−⅞+⅞ Ĥ ⅜⅘¾≈≥‰⅞Ř⅜⅘¾−≤‰⅞Ĺ ₍=⅘ ×−+⅞>⅘%≠⅘÷ℓH +⅔¾⅘÷+−⅘H ≠⅔‰⅞⅘ ⅖÷≈≠⅔ ∞+ℓ⅘ ‰⅔≤‰⅞H ≤≠− +⅘ ¾ℓ+−=√≠ ×−Ĥ ⅜−⅖+ℓ⅘ ≈=≠⅔+−¾‰⅞ ⅞ ⅔¾≠− ⅔≠⅞≤⅘=‰⅞ =≤⅞≠⅔∫≠ =⅘÷⅞⅔ ⅖⅔⅖=‰⅞ H ⅞ ⅞ ≤≠−Ĺ ⅔ √ ⅜⅔⅚⅘ +⅘ =≤⅞≠⅔∫ ∂≠−≠ ≈ ∞≠ ⅜⅘≠=‰⅞ H −+ ×−⅜>−⅜⅞≠ ⅜ √ ¾=⅘% =⅘ ∞⅞Ħ ⅔⅚⅘ +⅘ ⅝+⅔∫H ≤≠− ⅘¬Ω =‰⅔⅝⅔≠∞ ×− ∂≠− ≈ ×−¾−⅜≈Ħ −⅚+− ⅚⅘ ×÷−=≠− +⅘ = −≠÷⅘≠∞ ⅞ − ≤⅔≠∞ ¾ ≠÷√×−≤‰≈H ⅝⅔≤⅘ ≈=Ĥ ≠÷⅔⅞¾⅔≠∞ ∂≠⅞ ⅘⅗⅔≠−++ℓ⅘ =÷⅔≤⅞ +⅔ ⅜¾⅘=≠⅞ =≠÷⅔+⅞±Ĺ ∫⅜⅞H ⅖≈⅜∞≠⅘ ⅖ ⅔⅗−÷⅔⅝≈ +ℓ ⅞ ⅞ ≈¾⅔⅚⅔%≠⅘ ⅜÷≈⅗⅞>Ħ ŃŲÙŤŪTVUÙŮ ÙV ÜŠŦÙȘË

⅔‰ −⅖ℓ≤+− ×÷−¾−⅜⅞≥∞ =¾−⅖−⅜+−⅘ ¾÷⅘ √Ĺ =≠∞ ‰⅔‰−⅘Ĥ ≠− >−⅖⅖⅞H ≈¾ ⅘≤⅘+⅞√Ĺ ⅞ ¾=⅘ ≠÷⅔≠⅞≠=√ +⅔ ÷⅔⅖−≠≈H ⅜⅘¾≈≥‰≈ ⅞ ≠Ħ×ĦĹ ⅘%≤⅔= √ ⅝⅔+⅞ ⅔∫=∞ −≤⅘+∞ ¾⅔⅚+ℓ ⅜⅘ − ⅖−÷∫=∞ = ⅘+∞∫Ë ₋ ¾ ×⅘÷⅘÷ℓ¾⅔> +⅔¾⅘¬⅔∫ =¾−∫ ⅜⅘¾≈≥‰≈ ¾ ⅖− ∞Ĥ +⅞±⅘Ħ ₋> ⅜⅔H ⅘¬Ω +⅘ +≈⅚+− ⅝⅔⅖ℓ¾⅔≠∞ ×÷− ‰⅔÷≠≈ ⅜ √ ØŇŃH √ ⅘Ω ≠−⅚⅘ ⅜⅘ ⅔∫Ħ − ∞‰− ¾−≠ ŐNM ⅞+−⅗⅜⅔ ¾ℓ ⅘≠⅔⅘≠H +− ∂≠− ⅞ ×−+√≠+− =≠− ∞‰− ×− ⅞⅗−+−¾ =≠∞ ‰⅔‰⅞⅘Ĥ≠− × ⅔+ℓ +⅔ ⅖ ⅞⅚⅔%≥⅘⅘ ⅖≈⅜≈¬⅘⅘Ĺ −+⅘≤+−H =⅔ −⅘ ⅗ ⅔¾+−⅘ ⅜ √ ⅘+√ =⅘%≤⅔= Ĥ ∂≠− −≠≈≤⅞≠∞Ĥ =√H +⅔%≠⅞ ÷⅔⅖−≠≈H ⅝⅔÷⅔⅖−≠⅔≠∞ ⅜⅘+⅘⅗ ⅞ =¾⅔ ⅞≠∞ ‰ ≤⅘÷≠√ ⅞⅝ ∂≠−% ÷⅔⅝¾⅔ ⅞¾⅔∫¬⅘%=√ =≠÷⅔+ℓË Ġ= ⅘⅘≠=√Ġ ≈H ⅔ ⅘= ⅞ ⅗−¾−÷⅞≠∞ − ⅘+⅘⅘ ⅔=≥≠⅔⅖+ℓ> × ⅔+⅔>H ≠− ⅝⅔Ĥ ‰−+≤⅞≠∞ ‰⅔÷≠≈ ⅜ √ ØŇŃH =⅜⅘ ⅔≠∞ ⅞⅗÷≈ Ĝ×÷− ×−+⅞ĞH +⅔≈≤⅞Ĥ ≠∞=√ ×− ∞⅝−¾⅔≠∞=√ × ⅔+≥⅘≠− Ħ ‰⅔⅚⅞H ×−⅚⅔ ≈%=≠⅔H ‰⅔‰−⅘ ¾−−⅖¬⅘ ≈ ≠⅘⅖√ ⅚⅞⅝+⅘+Ĥ +−⅘ ‰÷⅘⅜−H ⅞ ⅞ ⅚⅞⅝+⅘++ℓ% ⅜⅘¾⅞⅝Ĺ ≤⅘ ≈ =≠÷⅘ ⅞≥∞=√ ¾ ⅚⅞⅝+⅞H ≤⅘ ⅖ℓ >−≠⅘ −=∞ ⅝⅔+√≠∞=√H ≤≠− ×−×÷−⅖−Ĥ ¾⅔≠∞Ĺ H − =¾−⅞> =≠÷⅘ ⅘+⅞√> √ +⅔×⅞=⅔ ≤≈≠∞ ¾ℓ≥⅘H ⅔ ≤≠− ×−Ĥ ×÷−⅖−¾⅔≠∞Ĺ ⅔¾⅘÷+−⅘H ×− ⅘≠⅔≠∞ +⅔ ×⅔÷⅔× ⅔+⅘H ¾−⅝ −⅚Ĥ +−H ×÷ℓ⅗+≈≠∞ = ×⅔÷⅔≥∫≠− H ⅔ ≠⅔‰⅚⅘ =℮⅘⅝⅜⅞≠∞ ⅝⅔ ⅗÷⅔+⅞Ĥ ±≈Ħ ⅔ ⅗−⅜ℓ ⅚⅞⅝+⅞ ≈ ⅘+√H ‰ =−⅚⅔ ⅘+⅞∫H ≠⅔‰ ⅞ +⅘ =<−÷ ≈ ⅞Ĥ ÷−¾⅔ =√ ‰⅔‰−%Ĥ≠− ⅚⅞⅝+⅘++ℓ% ⅜⅘¾⅞⅝H ≠⅔‰ ≤≠−H ⅝⅔≠÷≈⅜+√Ĥ ∫=∞ −≠¾⅘≠⅞≠∞ +⅔ ≠⅔‰−% ¾−×÷−=Ħ ≠− ⅚H =×⅔=⅞⅖− ≠⅘⅖⅘ ⅖− ∞≥−⅘ ⅝⅔ −≠¾⅘≠ℓĦ ₍ ⅝⅔‰ ∫≤⅘Ĥ +⅞⅘ Ĥ ×⅔÷≈ = −¾ ≠⅘ H ‰≠− ⅖≈⅜⅘≠ ≤⅞≠⅔≠∞ ⅜⅔++−⅘ ⅞+Ĥ ≠⅘÷¾∞∫Ħ ₍=⅘⅗⅜⅔ ×−⅚⅔ ≈%=≠⅔Ħ ₋ ⅜ √ ≠⅘>H ‰≠− ⅖≈⅜⅘≠ ∂≠− ≤⅞≠⅔≠∞ ÷⅘Ĥ ⅖√≠⅔H ⅜⅔¾⅔%≠⅘ ⅚⅞≠∞ ⅜÷≈⅚+−Ĺ JĞ +⅘ >−⅜⅞≠⅘ ¾ −% =⅔÷⅔%Ë ₌⅘=⅘⅜−¾⅔ J ŃŲŤŤÛÔÙÛ

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^êOoJÇÉîáäJmákhó ÷⅞¾⅘≠Ë ₍−Ĥ×⅘÷¾ℓ>H >−≤≈ =‰⅔⅝⅔≠∞ ≠⅘⅖⅘ ⅖− ∞≥−⅘ =×⅔=⅞Ĥ ⅖−H ≤≠− +⅔≥⅘ ¾÷⅘ √ −≠¾⅘≠⅞≠∞ +⅔ ¾−×÷−=ℓĦ ≠⅔‰H +⅔Ĥ ≤+⅘ = =⅔ −⅗− ×÷−=≠⅘%≥⅘⅗− ⅞ ⅖⅔+⅔ ∞+−⅗−Ħ ¾¾⅘⅜⅘+⅞√Ħ ÷⅘⅜=≠⅔¾∞=√H ×−⅚⅔ ≈%=≠⅔H ÷⅔==‰⅔⅚⅞ − =⅘⅖⅘ +⅘ +−⅗− ≠⅘ ∫⅜√ H ‰−≠−÷ℓ⅘ ⅖≈⅜≈≠ ≤⅞≠⅔≠∞ ⅜⅔++−⅘ ⅞+≠⅘÷¾∞∫Ħ ⅔‰ ⅜⅘ ⅔H ÷⅘⅖√≠≈≥‰⅞Ĺ ⅘+√ ⅝−¾≈≠ ₋÷≠≈÷H ⅞ √ −≤⅘+∞ ÷⅔⅜ ≠−Ĥ ≈H ≤≠− ¾ℓ ≤⅞≠⅔⅘≠⅘ ⅜⅔++−⅘ ⅞+≠⅘÷¾∞∫Ħ ¬⅘ −⅜⅞+ =≠⅔+⅜⅔÷≠+ℓ% ¾−×÷−=J ‰⅔‰ ⅜⅔¾+− ⅞⅗÷⅔⅘≥∞ ¾ ∂Ĥ ⅔Ĺ ⅔ ≤≠− ≠ℓ ∫⅖⅞≥∞ ∂≠≈ ⅞⅗÷≈H ≤⅘ −+⅔ ≠⅘⅖√ ≠⅔‰ ⅝⅔Ĥ ±⅘×⅞ ⅔H ≤≠− ≠ℓ ¾−≠ ≠⅔‰ ¾−≠ ⅞ ×− =⅘% ⅜⅘+∞ ¾=⅘ ⅘¬⅘ = ∂Ĥ − Ĺ +⅔‰− =≠¾− = ‰− ×∞∫≠⅘÷+ℓ ⅞ ∂‰≥⅘+⅔ ⅞ ⅞ ≥≈≠⅘÷⅔ ⅞ √ +⅔Ĥ ≤⅔ ⅞ ⅘++− =− ₍≠−÷−⅗− ÷⅞≥⅘=≠¾⅞√ Ħ ⅔ +⅘⅜⅘ ∫ ⅜− ≠−⅗−H ‰⅔‰ ⅖ℓ ‰≈× ⅘+ ‰− ×∞∫≠⅘÷H ×⅔×⅔ ×÷⅞+⅘= ≈ ‰⅔‰−⅗−Ĥ≠− ⅜√⅜∞Ĥ ‰⅞ = ÷⅔⅖−≠ℓ Ĩ ⅜⅞=‰⅔ Ē −⅖⅘⅗ ⅞⅝ ∫÷√⅗⅞Ē Ĝ¾÷−⅜⅘ ⅖ℓ ≠⅔‰ +⅔Ĥ ⅝ℓ¾⅔⅘≠=√H >−≠√ ⅞⅗÷⅔ Ĥ×− +⅔√ >÷⅘+∞ĞH Ē −÷⅘¾+−¾⅔+⅞√ ×− ×⅘%+≠⅖− ≈ĒH ⅞ Ē ÷≈≠−% ∂ J ₍≠−÷−⅘ ÷⅞≥⅘=≠¾⅞⅘ĒĦ ⅔ ⅜⅞Ĥ =‰⅘ Ĝ⅜⅔H ⅞ ⅘++− +⅔ ⅜⅞=‰⅘H ⅖≈ ⅔⅚‰⅞Ĥ−⅖ −⅚‰⅞ +⅘ ⅖ℓ −Ğ √ ≈¾⅞⅜⅘ ‰⅔‰−⅗−Ĥ≠− ≈⅚⅞‰⅔H ‰−≠−÷ℓ%H −=‰⅔ ⅞¾≥⅞=∞H =≠÷⅘ √⅘≠ ⅞⅝ −⅗÷− +−⅗− ×≈ ⅘ ⅘≠⅔ ×− ÷⅔⅝ ⅞≤+ℓ −+=≠÷⅔ H ⅔ =⅝⅔⅜⅞ ⅖ℓ ¾⅞⅜⅘+ ‰−= ⅞≤⅘=‰⅞% ‰−÷⅔⅖ ∞Ħ =≠⅔+−¾⅞¾ ⅘⅘ Ĝ≠−⅗⅜⅔ =⅞Ĥ ⅜⅘ ×⅔×⅔ ⅝⅔ ‰− ×∞∫≠⅘÷− ĞH ℓ +⅔⅖ ∫⅜⅔ ⅞ −≤⅘+∞ ⅞+≠⅘÷⅘=Ĥ +≈∫ ‰⅔÷≠⅞+≈ Ĥ ∂ ÷⅔=×⅞ ⅞ ≤≠−Ĥ≠− +⅔ ⅖÷⅘¾+⅘ −⅗÷− +−%

⅖⅘+⅝−×⅞ −% ⅞ =‰⅔⅝⅔ ⅕≠− √ Ĥ ∂ Ħ −≠√ √H ⅞⅝Ĥ⅝⅔ ≠−⅗−H ≤≠− ≈⅚⅘ ⅖ℓ +⅘ +−⅗− ×−≠÷√=⅘+H ≈= ℓ≥⅔ <÷⅔⅝≈ ⅕≠− √H ∂÷Ë Ħ ₍⅔≈H √ ‰− ⅔+⅜⅞÷Ĺ −= ⅘ ×÷−= −≠÷⅔ ¾=⅘> ⅜⅘ −‰H ×⅔×⅔ ⅝⅔×≈Ĥ =≠⅞ ⅞⅗÷≈Ħ ≤≠− ¾ℓ ⅜≈ ⅔⅘≠⅘Ĺ + = ⅞ +⅔ ⅖ℓ‰⅘Ĥ−⅖−÷−≠+⅘Ħ −≠− ≈⅚⅘H ‰⅔‰ ≠− ∞‰− +⅘ ⅖ℓ − ÷⅔⅝÷⅘≥⅘+− =⅘=≠∞H √ −=Ĥ ⅔≠÷⅞¾⅔ ¾ ≈÷−¾+⅘ ‰⅔⅚⅜ℓ% ⅝⅔‰−≈ −‰H ¾=⅘ =⅘‰÷⅘≠ℓ ¾ +⅔≤⅔ ⅘ ⅞ ⅖ ⅔⅗−⅜⅔÷√ ÷⅔‰⅘≠+⅞±⅘H +⅔%⅜⅘++−% ×−⅜ ¾−⅜−%H ⅖ℓ‰ +⅘ ‰⅔Ĥ ⅝⅔ =√ ≠⅔‰−% ×÷−⅖ ⅘ −%Ħ ¬≈¬⅘+⅞√ −≠ ⅞⅗÷ℓ ⅖ℓ ⅞ ×−≠÷√=Ĥ +ℓ ⅞ Ĥ ⅗⅜⅘ ⅘¬⅘ ≠ℓ = −⅚⅘≥∞ >−⅜⅞≠∞ = ⅖⅘+⅝−×⅞ −% ⅞ ÷¾⅔≠∞ ¾=⅘> +⅔ ⅘ ‰⅞% <⅔÷≥Ĺ ⅕≠− ⅖ℓ ≈÷⅔⅗⅔++ℓ% ∂‰≥⅘+H ¾ ‰−≠−Ĥ ÷ℓ% +⅘ >−≠⅘ −=∞ ⅞⅗÷⅔≠∞H ⅞ ⅞⅗÷⅔≠∞H ⅞ ⅞⅗÷⅔≠∞Ħ ×−<⅞⅗ +⅔ −=Ĥ ≠⅔ ∞+ℓ⅘ ⅞⅗÷ℓH √ >−≤≈ ⅞⅗÷⅔≠∞ ¾ ∂ ⅔Ë ₍ ‰− ∞∫+⅞≠⅞ ≠ℓ √¾ √⅘≥∞=√ −⅜+⅞ ⅞⅝ +⅔⅞⅖− ⅘⅘ ⅞⅝¾⅘=≠Ĥ +ℓ> ⅔××⅘÷−¾H −⅜−=≠÷−⅞≠⅘ ⅘%H ⅜⅔ ⅞ ¾−−⅖¬⅘ ‰÷⅘⅔≠⅞¾Ĥ +ℓ> ∫⅜⅘%Ħ ₍ =¾√⅝⅞ = ∂≠⅞ H −⅜⅞+ ¾−×÷−=J ‰⅔‰Ĺ ⅔‰⅞ −⅖Ĥ ÷⅔⅝− ≠⅘⅖⅘ ≈⅜⅔ −=∞ ⅜−⅖⅞≠∞=√ ≠⅔‰−⅗− ≈=×⅘>⅔ ⅞ ⅞⅝¾⅘=≠Ĥ +−=≠⅞Ĺ %H +≈ +⅘ =≠−⅞≠Ħ ⅔⅚⅘ +⅘ ⅝+⅔∫ ⅔¾⅘÷+−⅘H ×÷−=≠−⅘ ≤⅘ −¾⅘Ĥ ≤⅘=‰−⅘ ⅚⅘ ⅔+⅞⅘ =−⅝⅜⅔≠∞ ≤≠−Ĥ≠− ⅞+≠⅘÷⅘=+−⅘H ⅔ ×−≠− H =−Ĥ ¾⅘÷≥⅘+=≠¾≈√=∞H ≠ℓ −≠‰÷ℓ¾⅔⅘≥∞ ⅜ √ =⅘⅖√ ≤≠−Ĥ≠− +−¾−⅘ ⅞ =−⅝⅜⅔⅘≥∞ ⅖− ⅘⅘ ×÷−⅜¾⅞+≈≠ℓ⅘ ‰⅔÷≠ℓH +⅘⅚⅘ ⅞ ≠⅘H ‰−≠−÷ℓ⅘ ≠ℓ ⅜⅘ ⅔ ×⅔÷≈ ⅘≠ +⅔⅝⅔⅜Ħ ≠÷Ħ ÌIJ

⅔‰⅞ −⅖÷⅔⅝− ×÷−⅞⅝−≥ − ≠¾−Ω =≠⅔+−¾ ⅘+⅞⅘ ⅞ ⅘++− ¾ ‰⅔≤Ĥ¾⅘ ⅔××⅘÷⅔Ĺ ⅔‰ =¾√⅝⅔ =√ = ÷⅘⅜⅔‰≠−÷− ∂ ⅔ ⅞ ‰⅔‰−% ⅖ℓ ⅔ ≠¾−√ =⅔ ⅔√ ×⅘÷¾⅔√ ‰⅔÷≠⅔Ĺ ℓ = −⅜+−‰ ⅔==+⅞‰⅔ ⅞ ∫⅖⅞ ⅞ ⅘+√≠∞=√ +⅔ ¾÷⅘ √ ⅜⅞=‰⅔ ⅞ = ⅞⅗÷⅔ ⅞H ⅜⅔ ⅞ ‰⅔÷≠÷⅞⅜⅚⅔ ⅞ −≠ ⅘+⅜⅞ ≠−⅚⅘H ¾=⅘ ≠⅔‰ ⅜⅘ ⅔ ⅞Ħ ⅜+⅔⅚⅜ℓ ¾ ≥‰− ⅘H ⅗⅜⅘ ≠− ⅝⅞ −% ÎÌÌĨĤ⅗−H +⅘ ¾ ÷≈‰⅞ ×−×⅔ ⅔ ⅞⅗÷⅔ Ē ÷≈≠−% ∂ J ⅘÷¾⅔√ ‰÷−¾∞ĒĦ ₋⅗⅔Ë ₍−≠ −+⅔H ×⅘÷¾⅔√ ≤⅔=≠∞H − ‰−≠−÷−% ⅗−¾−÷⅞ −=∞ ¾ +⅔≤⅔ ⅘ ₍≠−÷−⅗− ÷⅞≥⅘=≠¾⅞√Ħ ₋ +⅔ ⅝⅔⅜+⅘% −⅖ −⅚‰⅘ ⅜⅞=‰⅔ ⅖ℓ ⅔ −≤⅘+∞ ⅞+≠⅘÷⅘=+⅔√ +⅔⅜×⅞=∞ −⅝⅜⅔%≠⅘ =¾−⅞ ‰⅔÷≠ℓ ⅞ −÷≈⅚⅞√H ⅞ ¾=≠⅔¾∞≠⅘ ⅞> ¾ ⅞⅗÷≈ Ħ ⅞Ĥ >÷⅘+⅔ =⅘⅖⅘Ë Ĥ ×−⅜≈ ⅔ √Ħ −⅚+− ⅜⅘ ⅔≠∞ =¾−⅞ ≈÷−¾+⅞Ĺ −Ĥ ⅚⅜⅔¾≥⅞=∞ =≈⅖⅖−≠ℓ Ĝ⅞⅗÷⅔≠∞ ×−⅝¾− √ ⅞ ≠− ∞‰− ×− ¾ℓ>−⅜+ℓ ĞH √ +⅔≤⅔ ⅞=‰⅔≠∞ ¾ ×⅔׉⅘ = ⅞⅗÷−% ÷⅘⅜⅔‰≠−÷Ħ ≠⅔‰⅞ +⅔≥⅘ Ħ ÷⅘⅜=≠⅔¾ √⅘≠⅘ =⅘⅖⅘ ÷⅘⅔‰±⅞∫H ‰−⅗⅜⅔ √ ≈¾⅞⅜⅘ H =≠− ∞‰− ≠⅔ ‰+−×−‰Ĺ ⅔⅚⅔¾ +⅔ =−⅝⅜⅔+⅞⅘ +−¾−⅗− ≈÷−¾+√H ⅞ ≈¾⅞⅜⅘¾ × ⅔Ĥ +⅘≠≈ H √ =≠⅔ ⅜⅘%=≠¾−¾⅔≠∞ ≠− ∞‰− ×− −⅜+− ≈ ⅘≠−⅜≈ ⅘≠−Ĥ ⅜≈ +⅔≈≤+−⅗− ≠ℓ‰⅔Ħ −⅖=≠¾⅘++−H ≠⅔‰ √ +⅔⅚⅔ +⅔ ≠⅘=≠ ≈÷−¾+√Ħ ∂ H ⅘≠⅔ ¾ +⅘¾⅘=− −=≠⅞ +⅔⅜ ‰⅔‰−%Ĥ≠− × ⅔+⅘≠‰−%H ⅞ ×÷⅞ ∂≠− +⅔ ‰÷⅔=+− <−+⅘Ħ ≠ ⅞≤+−⅘ +⅔≤⅔ −Ħ −= ⅘ ⅞⅝≈≤⅘+⅞√ ⅞+≠⅘÷<⅘%=⅔H √ −≠‰÷ℓ ÑŤŨŮĦ ≠⅔ +⅔≥⅘ −⅖≈≤⅘+⅞⅘ ¾ =−⅝⅜⅔Ĥ +⅞⅞ ×÷−=≠ℓ> ≈÷−¾+⅘%Ħ ₍=⅘ ⅖ℓ − +⅔ ⅔+⅗ ⅞%=‰− H +− ≈ ⅘+√H ⅜⅔ ⅞ ≈ ¾=⅘> ¾ −⅘ ¾−⅝÷⅔=≠⅘ ≠−⅗⅜⅔H ⅖ℓ +⅔×÷√⅗ = ⅔+⅗ ⅞%=‰⅞ H −⅜+⅔‰− ×− −⅗ ₎≈⅜⅞H ×⅘÷⅘¾−⅜≤⅞‰Ħ ×− −¬∞∫ +⅘⅗− √ ⅞ +⅔Ĥ ≈≤⅞ =√ =≠÷−⅞≠∞ ×÷−=≠≈∫ ⅔÷>⅞≠⅘‰≠≈÷≈H =≠⅔¾⅞≠∞ ¾=√‰⅞⅘ ×÷⅘⅜Ĥ ⅘≠ℓ +⅔ ‰⅔÷≠≈H ≠⅘‰=≠≈÷⅞÷−¾⅔≠∞Ħ − +⅞‰⅔‰ +⅘ ⅝+⅔ H ‰⅔‰ ¾−−⅖Ĥ ¬⅘ ×− ⅘+√≠∞ −÷≈⅚⅞⅘ = ‰− ∞≠−¾ +⅔ ⅜÷≈⅗−⅘H ‰⅔‰ ⅝⅔=≠⅔¾⅞≠∞ −+=≠÷−¾ ×−√¾ √≠∞=√ = ≠⅘ ⅘×−÷≠⅔ ≈ ⅔∫H ¾=⅘H ≈ ‰−⅗− +⅘ ⅖ℓ − ⅞+≠⅘÷+⅘≠⅔ ⅞ ⅜÷≈⅗⅞> ⅞=≠−≤+⅞‰−¾ −⅖≈≤⅘+⅞√ ¾ =−⅝⅜⅔+⅞⅞ ‰⅔÷≠ Ĝ¾÷−⅜⅘ ⅗÷− ⅔+⅞⅞Ğ ×−% ≈≠ ⅘+√Ħ ₎−=×−⅜⅞ ⅞=≈=⅘H √ ≈¾⅞+⅗Ĥ⅖÷⅔≥⅞ +⅘ ≈ ⅘ ⅜⅘ ⅔≠∞ ¾× −≠∞ ⅜− ÎÌÌĮĤ⅗− ⅗−⅜⅔H ⅔ ¾−⅜⅔ Ĥ ∂≠− ⅖ℓ − +⅘≤≠− ⅞⅝ ÷√⅜⅔ +⅘¾−⅝ −⅚+−Ĥ ⅗−Ħ ₋ −⅘% ×⅘÷¾−% ‰⅔÷≠−% Ĝ+≈ ‰÷− ⅘ ≠−%H ≤≠− ⅖ℓ ⅔ =−⅝⅜⅔+⅔ ×− ≈÷−‰≈Ğ ⅖ℓ ⅔ ≠⅔‰⅔√ =÷⅘⅜+√√ ×− ÷⅔⅝ ⅘÷⅔ ‰− +⅔≠⅔H ⅝⅔≠⅘‰=≠≈Ĥ ÷⅞÷−¾⅔++⅔√ ⅝¾⅘⅝⅜⅔ ⅞H ⅞ ×÷⅘⅜=≠⅔¾ √ ⅔ ⅞⅝ =⅘⅖√ ⅔⅖⅞÷⅞+≠H +⅔Ĥ ×⅞≤‰⅔++ℓ% ⅝−÷⅗⅔ ⅞ ⅞ ⅖ℓ‰⅔ ⅞Ħ ₍ ≠¾−⅘ ×−÷≠<− ⅞− =⅘%≤⅔= +⅔>−⅜⅞≠=√ ×÷−=≠− −⅗÷− +−⅘ ‰− Ĥ¾− ÷⅔⅖−≠Ħ ⅕≠− ⅞ ‰⅔÷≠ℓH ⅞ −⅜ℓH ⅞ ⅜⅘ ‰⅞H ⅞ ¾⅞⅜⅘−H ⅞ <⅔+Ĥ⅔÷≠H ⅞ ⅘¬⅘ ×− +− ¾=⅘⅗−Ħ ≠‰≈⅜⅔ ≠ℓ ≤⅘÷×⅔⅘≥∞ ¾⅜−>Ĥ +−¾⅘+⅞⅘ +⅔ ¾=Ω ∂≠− ⅖⅘⅝−⅖÷⅔⅝⅞⅘Ĝ¾ >−÷−≥⅘ = ℓ= ⅘ĞĹ ⅔ ≈⅜⅞¾ √∫=∞Ħ Ġ= ⅘⅘≠=√Ġ ⅔ =⅔ − ⅜⅘ ⅘H ×÷−=≠− ¾ ⅗− −¾≈ ⅞+−⅗⅜⅔ ×÷⅞>−⅜⅞≠ ℓ= ∞J ₋ ×−≤⅘ ≈ ⅖ℓ +⅘ =⅜⅘ ⅔≠∞ ¾−≠ ≠⅔‰Ĺ Ħ −≠√H +−⅗⅞⅘ ⅞⅜⅘⅞ ⅘¬⅘ ×÷⅞>−⅜√≠ ×÷√ − ¾− ¾÷⅘ √ ×÷−= ≈≥⅞Ĥ ¾⅔+⅞√ ≈⅝ℓ‰⅞I‰−⅗⅜⅔ √ ⅞⅗÷⅔∫ ¾ ‰⅔‰≈∫Ĥ+⅞⅖≈⅜∞ ⅞⅗÷≈I= −≠÷∫ <⅞ ∞ I⅔+⅞ ⅘I=+ℓH +≈ ⅞ ≠⅔‰ ⅜⅔ ⅘⅘Ħ ⅔¾⅔% ×⅘÷⅘%⅜⅘ ≈⅚⅘ =‰−÷⅘⅘ ‰ =⅔ −% ⅞+≠⅘÷⅘=+−% ≤⅔=≠⅞ +⅔≥⅘⅗− ⅞+≠⅘÷¾∞∫ Ĥ ‰ ≠¾−⅞ ≠⅘‰≈¬⅞ ×÷−⅘‰≠⅔ Ħ ℓ ¾=⅘Ĥ ⅗⅜⅔ ⅖ℓ ⅞⅝¾⅘=≠⅘+ ≠⅘ H ≤≠− ≤⅔=≠− ⅔+−+=⅞÷−¾⅔ ÷⅔⅝+ℓ⅘ ÷⅔⅝÷⅔⅖−≠‰⅞H −⅜ℓ ⅞ ≠Ħ×ĦĦ ₍ ×−= Ħ ¾÷⅘ √ ⅚⅘ =≠⅔ − ⅝⅔ ⅘≠Ĥ +−H ≤≠− ≠ℓ =≠⅔ ×⅘÷⅘>−⅜⅞≠∞ ⅞ ⅘++− ‰ +⅘×−=÷⅘⅜=≠¾⅘+Ĥ +ℓ ÷⅘ ⅞⅝⅔ H ×−≤≠⅞ ⅖⅘⅝ ×÷⅘⅜¾⅔÷⅞≠⅘ ∞+ℓ> ⅔+−+=−¾Ħ ⅘

≠ℓ +⅔ ⅜⅔++ℓ% − ⅘+≠ ⅝⅔+√≠ ⅜ √ ∂ ⅔H ‰⅔‰⅞⅘ ‰⅔÷≠ℓ ⅞ ⅞ −⅜ℓ +⅔>−⅜√≠=√ ¾ ÷⅔⅝÷⅔⅖−≠‰⅘Ĺ ⅔H ×− +⅞≠=√ ⅜⅘ −Ħ ≈H ‰⅔‰ ⅞ ⅖ℓ − =‰⅔⅝⅔+− ÷⅔+⅘⅘H ⅞⅝Ĥ⅝⅔ =−Ĥ ¾⅘÷≥⅘+=≠¾−¾⅔+⅞√ ⅞ ×÷−⅗÷⅘==⅞÷−¾⅔+⅞√ ¾ ⅔××⅞+⅗⅘H =≠⅔÷ℓ⅘ ‰⅔÷≠ℓ ‰⅔⅝⅔ ⅞=∞ +≈ ×÷−=≠− ≈⅚⅔=+ℓ ⅞H ×−∂≠− ≈ −⅜ℓ ¾=Ω −≠Ĥ ‰ ⅔⅜ℓ¾⅔ ⅞=∞ ⅞ −‰⅔⅝⅔ ⅞=∞ ×−≤≠⅞ ¾=⅘ ⅝⅔‰÷ℓ≠ℓĦ ⅔ ⅜⅔++ℓ% − ⅘+≠ √ ×− −⅗⅔∫ ¾ =≠÷−⅞≠⅘ ∞=≠¾⅘ −⅜⅔ ØUŤ ŇŲŠŪT ŃÙŦUW H ⅔ ≠⅔‰ ⅚⅘ ≠÷≈⅚≈=∞ +⅔⅜ +−¾−% ≤⅔=≠∞∫ =⅘÷⅞⅞ ‰⅔÷≠ ÞÜĻŐŐ Ĝ≈⅚⅘ ÎÌÍÎĞĦ ⅔⅜ −⅜⅔ ⅞ ×−‰⅔Ĥ≤≠− +⅘ ÷⅔⅖−≠⅔∫Ħ

ĦĦĦ ÷−=≠−⅘ ≤⅘ −¾⅘≤⅘=‰−⅘ ⅚⅘ ⅔+⅞⅘ =−⅝⅜⅔≠∞ ≤≠−Ĥ≠− ⅞+≠⅘÷⅘=+−⅘H ⅔ ×−≠− H =−¾⅘÷≥⅘+=≠¾≈Ĥ √=∞H ≠ℓ −≠‰÷ℓ¾⅔⅘≥∞ ⅜ √ =⅘⅖√ ≤≠−Ĥ≠− +−¾−⅘ ⅞ =−⅝⅜⅔⅘≥∞ ⅖− ⅘⅘ ×÷−⅜¾⅞+≈≠ℓ⅘ ‰⅔÷≠ℓH +⅘⅚⅘ ⅞ ≠⅘H ‰−≠−÷ℓ⅘ ≠ℓ ⅜⅘ ⅔ ×⅔÷≈ ⅘≠ +⅔⅝⅔⅜Ħ ₍=×− +⅞ −⅜⅞+ ⅞⅝ =⅔ ℓ> ⅗÷− ‰⅞> ≠¾−⅞> ⅜− ⅗−=≠÷−⅘¾ Ĥ ⅘÷⅘⅔ ∞+ℓ% ≈÷+⅞÷ Î Ĥ ⅔=≠∞ ÎĦ ₍ ‰− ∞∫+⅞≠⅞ ∂≠⅔ ≤⅔=≠∞ =≤⅞≠⅔⅘≠=√ ≈⅚⅘ =¾−⅘−⅖÷⅔⅝+ℓ ⅔+⅔ −⅗− MẀÛŤ ÔẀÛŤÜ ŃŬĤ ŲŤẂŤŲ ⅞ ÑŠŨȚĤÒÙȚŤ NŮÙVŬTŤ ĨH ≠Ħ‰Ħ ≠÷⅞ ⅗−⅜⅔ ÷⅔⅝÷⅔⅖−≠‰⅞ Ĥ +⅘ >≈>÷ℓĤ ≈>÷ℓĦ −⅜⅘ +⅞≤⅘⅗− +⅘ = ℓ≥+− ≈⅚⅘ ⅜−¾− ∞+− ⅜− ⅗−⅘ ¾÷⅘ √Ħ ⅞¾ ⅞ −+H ¾ ≤⅘ ×÷⅞≤⅞+⅔ ≠⅔‰−% ⅜ ⅞≠⅘ ∞Ĥ +−% ⅝⅔⅜⅘÷⅚‰⅞ ⅞ ‰−⅗⅜⅔H +⅔‰−+⅘±H ×−√¾√≠=√ >−≠∞ ‰⅔‰⅞⅘Ĥ≠− +−¾−=≠⅞ − −⅜⅘Ĺ −⅚⅘≠ ⅖ℓ≠∞H ≠ℓ ×÷√ − =⅘%≤⅔=H ¾ +⅔Ĥ ≥⅘ ⅞+≠⅘÷¾∞∫H ×÷⅞−≠‰÷−⅘≥∞ ⅝⅔¾⅘=≈ ≠⅔%+ℓ ⅞ ×−⅜⅘ ⅞≥∞Ĥ =√ +⅘‰−≠−÷ℓ ⅞ ×−⅜÷−⅖+−=≠√ ⅞Ĺ Ē ⅘÷⅘⅔ ∞+ℓ% ≈÷+⅞÷ Î Ĥ ⅔=≠∞ ÎĒ ≈ ⅘÷Ħ −≠√H ∂≠−≠ −⅜ ≈⅚⅘ ¾ℓ −⅚⅘+ ⅜⅔¾+−H ≠− ∞‰− ¾ +⅘⅜−⅜⅘ ⅔++− ¾⅔÷⅞⅔+≠⅘Ħ ⅜+⅔‰−H +⅘ ×÷−×⅔⅜⅔≠∞ ⅚⅘ ¾=⅘ ≈ ⅗−≠−¾− ≈ ⅔≠⅘÷⅞⅔ ≈Ĺ ⅛ ÷⅘≥⅞ ×− Ĥ +−=≠∞∫ ×⅘÷⅘×⅞=⅔≠∞ =∫⅚⅘≠H +⅞≤⅘⅗− +⅘ −=≠⅔¾⅞¾ −≠ =≠⅔÷−⅗−Ħ ⅘Ĥ ⅝≈ ∞≠⅔≠ ⅗−⅜+⅔√ ⅞=≠−÷⅞√ ×÷− ⅖−÷∞⅖≈ ⅝⅔ ⅘ ∫ = =⅞ ⅔ ⅞ +−Ĥ ¾−% ×÷⅔¾−% ÷≈‰⅞ ⅘+≠⅔ ⅔ +⅔ ≈+⅘Ħ −⅜ ₍−⅝ ⅘⅝⅜⅞⅘ ⅘+≠⅔Ĥ ⅔ ⅖≈⅜⅘≠ =−⅜⅘÷⅚⅔≠∞ +−⅚⅘=≠¾− ÷⅔⅝ ⅞≤+ℓ> ×⅘÷=−+⅔⅚⅘%H ₎ ∂ ⅘ ⅘+≠ℓH >−≠√ +⅘ ⅖≈⅜≈ ⅝⅔⅖⅘⅗⅔≠∞ ¾×⅘÷⅘⅜Ħ ₋ ⅘¬⅘ ¾ −⅜⅘ ⅖≈⅜⅘≠ ¾≠−÷−% ⅗ ⅔¾+ℓ% ⅗⅘÷−%H +⅘ ⅞⅗÷⅔⅖⅘ ∞+ℓ%H ‰−+⅘≤+−H +− ⅜≈ ⅔∫H ⅞⅗÷−‰⅔ −+ ×−+÷⅔¾⅞≠=√Ħ ₍⅘÷+⅘⅘H −+⅔Ħ ⅛ ⅝⅔ ⅘≠⅞ H ≤≠− ≠ℓ =≠⅔÷⅔⅘≥∞=√ −⅜⅞+⅔‰−¾− ÷⅔¾+−±⅘++− ¾ℓ×≈=‰⅔≠∞ ‰⅔÷≠ℓ ‰⅔‰ ⅞ ⅜ √ ‰ ⅔==⅞‰⅞H ≠⅔‰ ⅞ ⅜ √ +−¾ℓ> ≤⅔=≠⅘% Ĥ ŐŐÑM ⅞ ŐŐĨĦ ⅘ +⅘ ⅘+⅘⅘H =‰⅔⅚⅞H ‰⅔‰⅔√ ⅞⅝ ∂≠⅞> ⅜¾≈> × ⅔≠<−÷ ⅜ √ ≠⅘⅖√ +⅔⅞⅖− ⅘⅘ ×÷⅞−÷⅞≠⅘≠+⅔√H ≈⅜−⅖Ĥ +⅔√H ¾⅔⅚+⅔√ Ĥ ×⅘÷¾ℓ% ŐŤT ⅞ ⅞ ≠÷⅘≠⅞%Ĺ ₌ℓ≠∞ −⅚⅘≠H ≠ℓ = −⅚⅘≥∞ ¾ℓ=‰⅔⅝⅔≠∞ −=+−¾+ℓ⅘ × ∫=ℓ ⅞ ⅞+≈=ℓ ≠−% ⅞ ⅞ ⅞+−% ≠⅘>+− −⅗⅞≤⅘=‰−% ⅖⅔⅝ℓŘ⅜¾⅞⅚‰⅔Ř÷⅘⅜⅔‰≠−÷⅔Ĺ ⅘≤⅔ ∞+−H ≤≠− ≠ℓ +⅘ ≈×− √+≈ ŐŤŲÙŬẀV ŐŠÜ ÎĦ ₋ ‰⅔=⅔≠⅘ ∞+− ⅜¾⅞⅚‰−¾ −+⅞ +⅘H ‰⅔‰ +⅞ =≠÷⅔++−H ¾=⅘ +÷⅔¾√≠=√Ħ − <≈+‰Ĥ ±⅞−+⅔ ∞+−=≠⅞ −+⅞ ×÷⅔‰≠⅞≤⅘=‰⅞ +⅞≤⅘ +⅘ −≠ ⅞≤⅔∫≠=√H ≠− ∞Ĥ ‰− ⅗÷⅔<⅞‰−%H ¾=√≤⅘=‰⅞ ⅞ ≠⅔ ≥⅘%⅜⅘÷⅔ ⅞ ⅞ ¾−⅝ −⅚+−=≠∞∫ ×−⅜⅜⅘÷⅚‰⅞ ⅖− ∞≥⅘⅗− ‰− ⅞≤⅘=≠¾⅔ ×− ⅞⅗−+−¾Ħ ⅕≠− ≠− ∞‰− ⅔Ĥ ⅔√ ≤⅔=≠∞ =×⅞=‰⅔H +− ⅝⅔≤⅘ ≠≈≠ ≈ +⅞≤⅔≠∞ ⅞ ×⅘÷⅘≤⅞= √≠∞ ¾=⅘Ĺ ₋ ≠⅔‰H ×− =≈≠⅞H ¾ ŐNMÍ −⅚+− =⅜⅘ ⅔≠∞ ≠− ⅚⅘ =⅔ −⅘H ≤≠− ⅞ ¾ ŐNMĨĦ ≠÷Ħ ÍÌ

⅔¾⅔% +⅘ +−⅗− ×⅘÷⅘⅜−>+⅘ −≠ ≈+ℓ ℓ> ¾−×÷−=−¾ ⅞ ×− ⅘Ĥ ≤≠⅔⅘ Ħ ÷⅘⅜=≠⅔¾∞ ≠⅔‰≈∫ =⅞≠≈⅔±⅞∫J ≠⅘⅖⅘ ×÷⅞>−⅜⅞≠ ×⅞=∞ − ⅞⅝ ÷−≠⅞ H ¾ ‰−≠−÷− − ⅔+ ⅞⅖⅔÷⅞≤ −<⅞±⅞⅔ ∞Ĥ +− ×÷⅘⅜ ⅔⅗⅔⅘≠ ≠⅘⅖⅘ ×− −≤∞ ÷⅔⅝÷⅔⅖−≠≤⅞‰⅔ ⅞ =‰ ⅘×⅔≠∞ +⅘⅖− ∞≥≈∫ =∫⅚⅘≠+≈∫ ‰⅔ ×⅔+⅞∫Ĝ≠÷⅞Ĥ≤⅘≠ℓ÷⅘ ‰⅔÷≠ℓH +⅘ ⅖− ⅘⅘ĞH ⅜ √ +−¾−⅗− MÒĿ ⅜ √ ŐŐĨĦ ⅘ ⅔≠⅞‰⅔ Ĥ ∫⅖⅔√H ‰−≠−Ĥ ÷⅔√ ¾⅝⅖÷⅘⅜⅘≠ ≠⅘⅖⅘ ¾ ⅗− −¾≈Ħ ₍−Ĥ×⅘÷¾ℓ>H ‰⅔‰ ≠ℓ −≠¾⅘≠⅞ ⅖ℓ +⅔ ∂≠− ×÷⅘⅜ −⅚⅘+⅞⅘Ĺ ₍−Ĥ¾≠−÷ℓ>H ≤≠− ≠ℓ ⅖ℓ =−≠¾−Ĥ ÷⅞ ¾ ÷⅘⅜⅔‰≠−÷⅘H ⅘= ⅞ ⅖ℓ =−⅗ ⅔=⅞ =√ +⅔ ≈= −¾⅞√ >−÷¾⅔≠−¾ ⅞ ×÷⅞+√ =√ ⅝⅔ ⅜⅘ −Ĺ ⅛ ⅖ℓ ÍÌ ⅞+≈≠ =⅞⅜⅘ ×⅘÷⅘⅜ −+⅞≠−÷− = ≥⅞÷−‰− −≠‰÷ℓ≠ℓ ÷≠− H ¾−≠ ≠⅔‰Ħ Ġ= ⅘⅘≠=√Ġ ÷⅔⅜−=≠∞∫ ⅖ℓ ×− −⅗Ħ ⅛ ⅖ℓ =⅜⅘ ⅔ ≤≠− ≠− ¾ ÷−⅜⅘ +⅔≤⅔ ⅔ ¾≠−÷⅚⅘+⅞√H ×⅘÷¾ℓ⅘ +⅔×⅔⅜⅘+⅞√ −+Ĥ =≠÷−¾H ⅞ ×−‰⅔⅝⅔ ⅖ℓH ‰⅔‰ ∂ =≠⅔ ⅗⅘÷−⅘ Ħ =≠∞ ×÷−⅘‰≠ℓH +⅘ =¾√⅝⅔++ℓ⅘ = ∂ − Ĺ ⅘ ⅖ℓ ≠ℓ >−≠⅘ ⅝⅔+√≠∞=√Ĝ⅞ ⅞ ≈⅚⅘ ⅝⅔+⅞ ⅔⅘≥∞=√Ğ Ē⅜ √ ⅜≈≥⅞ĒĜ¾ × ⅔+⅘ ÷⅔⅝Ĥ ÷⅔⅖−≠‰⅞ĞĹ ÷−⅘‰≠ℓ ⅘=≠∞H +− ⅗−¾−÷⅞≠∞ − +⅞> +⅘ −≤⅘+∞ >−≤⅘≠=√Ħ +⅞ ≈⅚⅔=Ĥ +ℓĦ ⅘÷∞⅘⅝+−Ħ −≤≠⅞Ħ

¾⅔≠⅔⅘≠ ⅞ ≈ ≠⅘⅖√ =¾−⅖−⅜+−⅗− −≠ ‰⅔‰⅞>Ĥ≠− ⅜⅘ ⅞ ⅝⅔⅖−≠ ¾÷⅘ ⅘+⅞H ≤≠−⅖ℓ ×÷−=≠− −≠⅜−>+≈≠∞ ⅞ ÷⅔== ⅔⅖⅞≠∞=√Ĺ ⅘ ⅝⅔+⅞ ⅔⅘≥∞=√ ¾ ≠⅔‰⅞⅘ − ⅘+≠ℓĹ ₍−−⅖¬⅘H ⅘=≠∞ ‰⅔‰−⅘Ĥ+⅞Ĥ ⅖≈⅜∞ >−⅖⅖⅞H ≈¾ ⅘≤⅘+⅞√ ⅞ ≠Ħ×ĦĹ ≈ >¾⅔≠⅔⅘≠Ħ ∫⅖ ∫ ×÷−=≠− ≥⅔÷⅞≠∞=√ ¾ ⅞+≠⅘÷+⅘≠⅘H ⅞⅗÷⅔≠∞ ¾− < ∂≥ ⅞⅗÷ℓĦ ₍−−⅖¬⅘ √ ∫⅖ ∫ ÷⅞=−¾⅔≠∞ ¾− < ∂≥H ⅞⅖− ∂≠− ⅝⅔Ĥ ⅘≤⅔≠⅘ ∞+⅔√ ×÷−⅗÷⅔ ⅔Ħ ₋ ⅘¬⅘ √ ⅔+⅞ ⅘≥+⅞‰Ħ ÷⅔⅜⅞±⅞−++ℓ% ¾−×÷−=J ≠¾−⅘ ⅚⅞⅝+⅘++−⅘ ‰÷⅘⅜−Ħ ≤⅘ ≈ =≠÷⅘ ⅞≥∞=√ ¾ ⅚⅞⅝+⅞H ⅘=≠∞ ⅞ ‰⅔‰⅞⅘Ĥ≠− ⅘≤≠ℓH ×⅘÷=×⅘‰Ĥ ≠⅞¾ℓH × ⅔+ℓ +⅔ ⅖≈⅜≈¬⅘⅘Ĺ ¬⅘ ¾ ⅜⅘≠=≠¾⅘H ‰−⅗⅜⅔ ≈ ⅘+√ ⅖ℓ ⅘+⅜⅞H √ ⅘≤≠⅔ =⅜⅘ ⅔≠∞ =¾−∫ ⅞⅗÷≈Ħ ÷⅞ ×÷−>−⅚⅜⅘+⅞⅞ ≠−% ⅞ ⅞ ⅞+−% ⅞⅗÷ℓ ⅘+√ ¾=⅘⅗⅜⅔ ⅞+≠⅘÷⅘=−¾⅔ − ‰⅔‰ ∂≠− ≈=≠÷−⅘+−Ħ ₍ ⅖ ⅞⅚⅔%≥⅘⅘ ¾÷⅘ √H ⅜≈Ĥ ⅔∫H +⅔≤+≈ ⅜⅘ ⅔≠∞ =¾−∫ ⅞+⅜⅞ ⅞⅗÷≈≥‰≈H +⅔ −=+−¾⅘ +⅔÷⅞=−Ĥ ¾⅔++−⅗− ‰−+±⅘×≠⅔Ħ ×⅔=⅞⅖− ≠⅘⅖⅘ ⅖− ∞≥−⅘ ⅝⅔ −≠¾⅘≠ℓĦ ⅔÷≈ = −¾ +⅔≥⅞ ≤⅞Ĥ ≠⅔≠⅘ √ Ĺ ≈¾⅔‰⅞H ŐWŠX ŐŤŲÙŬẀVË ⅘ +⅔¾√⅝ℓ¾⅔%≠⅘ ⅜÷≈⅗⅞ =¾−⅘ +⅘+⅞⅘Ħ −‰⅔H ⅞ ≈⅜⅔≤⅞Ë ₌⅘=⅘⅜−¾⅔ J ŃŲŤŤÛÔÙÛ

≠÷Ħ ÍÍ

> ¾⅔⅚⅔⅘ ℓ⅘ ≤⅞≠⅔≠⅘ ⅞H ¾ ∂≠− ¾ℓ×≈=‰⅘ ℓ >−≠⅞ ×÷⅘⅜=≠⅔¾⅞≠∞ ¾⅔≥⅘ ≈ ¾+⅞ ⅔+⅞∫ +−Ĥ ¾≈∫ ÷≈⅖÷⅞‰≈H ‰−≠−÷⅔√H ¾−⅝ −⅚+−H =≠⅔+⅘≠ ×−=≠−√++−% ¾ ⅚≈÷+⅔ ⅘Ħ ≈⅖÷⅞‰⅔ ×−⅜ +⅔⅝¾⅔Ĥ +⅞⅘ +⅘¾+⅞‰⅞ ÷⅔⅝÷⅔⅖−≠≤⅞‰−¾Ħ ØUŤ ŇŲŠŪT ŃÙŦUW Ĥ ∂≠− =⅘÷⅞√ ⅞+<−Ĥ=≠⅔≠⅘%H ×−=¾√¬⅘+Ĥ +ℓ> ÷⅔⅝÷⅔⅖−≠‰⅘ ‰÷≈×+− ⅔=≥≠⅔⅖+−% ⅞ ⅜−¾−Ĥ ∞+− +−⅗−−⅖⅘¬⅔∫¬⅘% −⅜⅞<⅞‰⅔±⅞⅞ ⅜ √ ŐŤŲÙŬẀV ŐŠÜJ ØUŤ ŐŤȘŬŪT NŪȘŬẀŪWŤŲ −≠ ‰− ⅔+Ĥ ⅜ℓ ŐØĤŇĻÓNŐ Ĥ ØÑN ŇŎĻÔM ŃŅŇÑØĦ ≤⅔=≠+⅞‰⅞ ‰− ⅔+⅜ℓH ⅔××⅘÷ℓH ‰−⅜⅘÷ℓ ⅞ −⅜⅘ ⅘÷ℓH ⅖≈⅜≈≠ ÷⅔==‰⅔⅝ℓ¾⅔≠∞ ¾ +⅘=‰− ∞‰⅞> ≤⅔=≠√> − >−⅜⅘ ÷⅔⅝÷⅔⅖−≠‰⅞ −⅜⅞<⅞‰⅔±⅞⅞ ⅞ ÷⅔⅜−¾⅔≠∞ ¾⅔= =¾⅘⅚⅘% ×−÷±⅞⅘% ⅞+<−÷ ⅔±⅞⅞ ⅞ =‰÷⅞+≥−Ĥ ≠⅔ ⅞Ħ ÷⅞√≠+−⅗− −⅝+⅔‰− ⅘+⅞√Ë

÷⅞¾⅘≠ ¾=⅘ H +⅔ =¾√⅝⅞ ÑŤÜÙŪŦŚÑÙWŲŬŴVÛÙH ⅗ ⅔¾⅔ ‰− ⅔+⅜ℓ −⅜⅞<⅞‰⅔±⅞⅞ ØUŤ ŇŲŠŪT ŃÙŦUW Ë ⅔¾⅔%≠⅘ √ ¾¾⅘⅜≈ ¾⅔= ¾ ‰≈÷= ⅜⅘ ⅔ ⅞ ÷⅔==‰⅔⅚≈ − >−⅜⅘ ÷⅔⅝÷⅔⅖−≠‰⅞ +⅔≥⅘⅗− −⅜⅔Ħ ≠⅔‰H =− ⅜+√ ¾ℓ×≈=‰⅔ ⅖⅘≠ℓ ¾ −⅜⅘ +−⅗−⅘ ⅞⅝ ⅘+⅞ −=∞Ħ + −⅜+−⅝+⅔≤+− =≠⅔ ≈≤≥⅘ ⅞ +⅔¾−÷−≤⅘++⅘⅘Ħ ⅔‰H +⅔×÷⅞ ⅘÷H ℓ ⅜−⅖⅔¾⅞ ⅞ ¾ +⅔≥ −⅜ <−+⅔÷⅞‰Ĝ⅜⅔⅘≥∞ >−÷÷−÷ËĞH ×⅘÷⅘≠⅔=‰⅞¾⅔+⅞⅘ ×÷⅘⅜ ⅘≠−¾Ĝ≠⅘×⅘÷∞ +⅔>−⅜⅞≠∞ =⅘‰÷⅘≠+ℓ⅘ ⅘=≠⅔ =≠⅔+⅘≠ ⅘¬⅘ ⅞+≠⅘÷⅘=+⅘⅘ĞH ×− ⅘+√ ⅞ −Ĥ ⅜⅘ ∞ ⅝− ⅖⅞ Ĝ≠⅘×⅘÷∞ −+ =≠÷⅘ √⅘≠ ⅞⅝ ⅜÷−⅖−¾⅞‰⅔ĞĦ ⅔‰⅚⅘ ℓ ⅜−⅖⅔¾⅞ ⅞ Î ≠⅞×⅔ ≠≈÷⅘ ⅘%Ĝ¾ℓ = −⅚⅘≠⅘ ≈×÷⅔¾ √≠∞ ⅖⅔≥+⅘% ≠⅔+‰⅔H ⅞ ×−=≠÷⅘ √≠∞ ⅞⅝ ≠−⅗− =⅔ −⅗− ⅞+⅞⅗⅔+⅔H ‰−≠−÷ℓ% =⅜⅘ ⅔ −<⅘⅞+ ¾ ⅗⅔+≥−×⅘ĞH ⅞⅝ ⅘+⅞ ⅞ −⅜⅘ ∞ ≠− ⅞⅗⅔+⅔ +⅔ ÓÏĻÍ ⅞ ×÷⅞‰÷≈≠⅞ ⅞ ×−⅜=≠¾− ∞+ℓ% ⅗÷⅔+⅔≠− ⅘≠H ⅜−⅖⅔Ĥ ¾⅞ ⅞ MŤVŤŲW NŠŦŨŤŜℓH ×⅘÷⅘⅜⅘ ⅔ ⅞ ÑǾM ⅞ ⅘¬⅘ +−⅗− ⅜÷≈⅗−Ĥ ⅗−Ħ ÷≈⅗⅞ ⅞ = −¾⅔ ⅞ Ĥ <⅞≤ +−⅗−H ⅞ ‰⅔⅚⅘≠=√H ≤≠− ⅖− ∞≥⅘ ≈⅚⅘ −⅜≈ +⅘ +≈⅚+−Ħ −≠√H ‰≠− ⅝+⅔⅘≠Ĺ

⅞≤+− √ =⅘%≤⅔= ⅔××⅘÷∫Ħ −≠∞ ⅞ × −>− ×− ≈≤⅔⅘≠=√H +− ¾=⅘ ÷⅔¾+− ⅔××⅘÷∫Ħ ℓ≠⅔∫=∞ ⅞=×÷⅔¾ √≠∞=√Ħ ⅔ ⅜⅔++ℓ% − ⅘+≠ =≠÷−∫ ≈÷−¾⅘+∞ ŃŬŲŤVWĦ ⅕≠− ≠⅔‰−% ⅝⅞ +⅞% ≈÷−¾⅘+∞H +⅘ ¾>−⅜√¬⅞% ¾ ‰⅔ ×⅔+⅞∫ −⅜⅔H ‰−Ĥ −×⅘÷⅔≠⅞¾+ℓ%Ħ ₍ ∂≠− ≈÷−¾+⅘ ⅗ ⅔¾+ℓ% ⅗⅘÷−% Ĥ ⅜⅔ ∞+−⅖−%¬⅞‰H ‰−≠−÷ℓ% ×−×⅔ ¾ ×÷−⅖‰≈ĦĦĦ ≈H ⅜≈ ⅔∫ ¾ℓ =⅔ ⅞ ×−+⅞ ⅔⅘≠⅘H ⅞⅝Ĥ⅝⅔ ≤⅘⅗−Ħ + ×÷−>−⅜⅞≠ ¾×⅘÷⅘⅜H +⅔≠ℓ‰⅔⅘≠=√ +⅔ = ⅘⅜ℓ ¾−⅘++ℓ>H ×−⅜⅖⅞÷⅔⅘≠ ⅞> −÷≈⅚⅞⅘H ×÷−⅖⅞÷⅔⅘≠=√ ⅜⅔ ∞≥⅘ ⅞ −⅖+⅔÷≈⅚⅞¾⅔⅘≠ =⅘‰÷⅘≠+ℓ⅘ ⅔⅖−÷⅔≠−÷⅞⅞ ×− =−⅝⅜⅔+⅞∫ ≈⅖⅘÷Ĥ¾−⅞+−¾Ĝ ×⅔≠÷⅞⅔÷Ĥ >−¾ ĞĦ ⅗÷−‰≈ ×÷⅞⅜⅘≠=√ ×÷−⅖⅞¾⅔≠∞=√ ≤⅘÷⅘⅝ +⅘×÷−=≠ℓ⅘ ⅜¾⅘÷⅞H ‰−≠−÷ℓ⅘ −⅚+− −≠‰÷ℓ≠∞ ≠− ∞‰− +⅔⅚⅔¾ +⅔ +⅞> ĨÌ ÷⅔⅝H ¾ ≠− ¾÷⅘ √H ‰⅔‰ ⅝⅔ ¾⅔ ⅞ ⅗−+⅞≠=√ −⅜⅞+ ⅞⅝ ≠⅘>Ĥ=⅔ ℓ> ⅝ −¾⅘¬⅞> ≈⅖⅘÷Ĥ¾−⅞+−¾Ħ ⅔‰⅚⅘H ⅘=≠∞ ⅜¾⅘Ĥ ÷⅞ ⅞ ×−⅜ ÎÌÌ +⅔⅚⅔≠⅞%H ‰−≠−÷ℓ⅘ ×÷⅞ −≠‰÷ℓ≠⅞⅞ĦĦĦ ₍×÷−≤⅘ H −⅖ ∂≠− ×− − ≤⅞ H ≤≠−Ĥ≠− √ ⅝⅔⅖⅘⅗⅔∫ = ⅞≥‰− ⅜⅔ ⅘‰− ¾×⅘÷⅘⅜Ħ ≈ ≤≠− √ −⅗≈ ⅘¬⅘ =‰⅔⅝⅔≠∞Ĺ −⅜H ‰⅔⅚⅘≠=√H ×− ≈≤⅔⅘≠=√ +⅘× −>⅞ H +⅔× ℓ¾ ⅖⅔⅗−¾ √H = ⅔¾⅔ ⅖−⅗≈H ≈=≠÷⅔+⅞ H ≠⅘×⅘÷∞ +⅘ ¾ℓ ⅘≠⅔⅘≠Ĝ⅘= ⅞ ¾ℓ +⅘ ‰−⅜⅘÷H ≠− +⅘ ×÷⅘⅜=≠⅔¾ √⅘≠⅘H ≤≠− ∂≠− ⅝⅔ =≤⅔=≠∞⅘ĞĦ ⅘⅗− √ >−≤≈ ⅜−⅖⅞≠∞=√ Ĥ ≠⅔‰ ∂≠− ≠−≠⅔ ∞+−% +⅘≈⅝+⅔¾⅔⅘ −=≠⅞Ĝ≠Ħ⅘ ≤≠−⅖ℓ ⅞⅗÷−‰ ⅜⅔⅚⅘ +⅘ ⅝+⅔ H ≤≠− −+ ⅞⅗÷⅔⅘≠ ¾ −⅜ ⅜ √ ∂ ⅔Ğ ⅞ =⅔ −⅘ ⅗ ⅔¾+−⅘ Ĥ ⅞+≠⅘÷⅘=+−⅗− ‰−−×⅘÷⅔≠⅞¾⅔Ħ −= ⅘ ÷⅘ ⅞⅝⅔ √ =−⅖⅞÷⅔∫=∞ ≈=≠÷−⅞≠∞ ₌− ∞≥≈∫ −−×⅘÷⅔±⅞∫ ¾ ₎ H ‰≈⅜⅔ = −⅚⅘≠ ×÷⅞=−⅘⅜⅞+⅞≠∞=√ ‰⅔⅚⅜ℓ% ⅚⅘ ⅔∫¬⅞%Ħ =−⅚⅔ ⅘+⅞∫H −⅜⅞<⅞‰⅔±⅞∫ ⅘≠− ⅜−⅜⅘ ⅔≠∞ +⅘ ≈=×⅘⅘ Ĝ⅞⅖− +−⅗⅞⅘ ÷⅔⅝÷⅔⅖−≠≤⅞‰⅞ ÷⅔⅝℮⅘>⅔ ⅞=∞ĞĦ ⅔Ĥ ‰⅞ −⅖÷⅔⅝− H ×÷⅞ ⅘÷+⅔√ ⅜⅔≠⅔ ¾ℓ>−⅜⅔ ØŇŃ Ĥ −‰≠√⅖÷∞ ∂≠−⅗− ⅗−⅜⅔Ħ −= ⅘⅜+⅞⅘ =‰÷⅞+≥−≠ℓ = −⅜⅞<⅞‰⅔±⅞⅞ ¾ℓ −⅚⅘≠⅘ +⅔%≠⅞ +⅔ = ⅘⅜≈∫¬⅘% =≠÷⅔+⅞±⅘H ¾− ¾÷⅘⅝‰⅘Ħ ⅔ ∂≠− ¾=ΩĦ ×⅔=⅞⅖− ⅝⅔ ¾+⅞ ⅔+⅞⅘ ⅞ −=≠⅔¾⅔%≠⅘=∞ +⅔ =¾√⅝⅞Ħ ≤⅔=≠+⅞‰⅞ ‰− ⅔+⅜ℓ ØUŤ ŇŲŠŪT ŃÙŦUW −⅖√⅝⅔≠⅘ ∞+− ⅖≈⅜≈≠ ⅜⅘÷⅚⅔≠∞ ¾⅔= ¾ ‰≈÷=⅘ ×−= ⅘⅜+⅞> +−¾−=≠⅘% ⅞ −⅖+−¾ ⅘+⅞% +⅔ =≠÷⅔+⅞±⅔> = ⅘⅜≈∫Ĥ ¬⅞> +− ⅘÷−¾ ⅚≈÷+⅔ ⅔ ŐŤŲÙŬẀV ØÙÜŤ Ë ≠÷Ħ ÍÎ

₍÷⅘⅝‰⅔ Í ‰÷⅞+≥−≠ℓ ØUŤ ŇŲŠŪT ŃÙŦUW

≠÷Ħ ÍĨ

ŐŬŨŬÜŬŪ Ĥ ∂≠− +−¾ℓ% ⅞+⅜⅞Ĥ×÷−⅘‰≠ −≠ ⅞⅝¾⅘=≠+−⅗− +⅔ VŤŲÙŬẀVVÙWŤĦŲẀ ÷⅔⅝÷⅔⅖−≠≤⅞‰⅔ Ĥ ØŤŪVUÙĦ ÷−⅘‰≠ +⅘−⅖ℓ≤+ℓ%H ⅞ ⅜⅔⅚⅘ +⅘= −≠÷√ +⅔ ≠−H ≤≠− = ŐŤŲÙŬẀV ŐŠÜ −+ +⅞‰⅔‰ +⅘ =¾√⅝⅔+H ℓ +⅘ −⅚⅘ +⅘ ×−⅝+⅔‰− ⅞≠∞ ≤⅞≠⅔≠⅘ ⅘% = ∂≠−% ⅝⅔ ⅘≤⅔≠⅘ ∞+−% ⅞⅗÷−%Ħ ₋ ÷⅔==‰⅔⅚⅘≠ − +⅘% =⅔ ⅔¾≠−÷ Ĥ ‰≠− ⅚⅘ ≈≤≥⅘ +⅘⅗− ⅝+⅔⅘≠ ∂≠−≠ ×÷−⅘‰≠Ĺ

Ő

ŬŨŬÜŬŪ Ĥ ⅔÷‰⅔⅜+ℓ% × ⅔≠<−÷ ⅘÷ = ∂ ⅘ ⅘+≠⅔ ⅞ ĒTẀŪŦŤŬŪĤȘŲŠŴŨŤŲĒĦ ₍ℓ×− +⅘+ ¾ Ē ≈ ∞≠√≥+− Ē =≠⅞ ⅘H ×− ⅖− ∞Ĥ ≥⅘% ≤⅔=≠⅞ = ¾⅘‰≠−÷+−% ⅗÷⅔<⅞‰−%Ħ

⅔⅝÷⅔⅖−≠‰⅔ ⅖ℓ ⅔ +⅔≤⅔≠⅔ Í ⅞∫+√H ≠− ⅘=≠∞ ×−≤≠⅞ ⅜¾⅔ ⅘=√±⅔ +⅔⅝⅔⅜Ħ ⅜⅘√ =−⅝⅜⅔+⅞√ ∂≠−% ⅞⅗÷ℓ ×÷⅞≥ ⅔ +⅘ +⅘−⅚⅞⅜⅔+Ĥ +−Ħ −= ⅘ −⅜+−% Ē+⅘≈⅜⅔≤+−%Ē ×−×ℓ≠‰⅞ =−⅝⅜⅔≠∞ ⅞+≠⅘÷⅘=+ℓ% × ⅔≠<−÷ ⅘÷H √ +⅔ ¾÷⅘ √ ×⅘÷⅘=≠⅔ ⅜⅘ ⅔≠∞ ⅞⅗÷ℓ ⅞ ÷⅘Ĥ ≥⅞ ×÷−=≠− ×−⅞⅗÷⅔≠∞ ¾ +−¾ℓ⅘ ⅞+⅜⅞Ĥ⅞⅗÷ℓH ‰−≠−÷ℓ⅘ ¾ℓ>−⅜⅞ ⅞ ¾ ∂≠− ¾÷⅘ √Ħ ⅔⅞⅗÷⅔¾≥⅞=∞ ¾⅜−¾− ∞H √ ⅖ℓ ×− −+ +−Ĥ ¾ℓ> ⅞⅜⅘%Ħ =−⅖⅘++− >−≠⅘ −=∞ =⅜⅘ ⅔≠∞ ÷⅘⅞⅗÷⅔⅖⅘ ∞+≈∫ ⅞⅗÷≈H =− = ≈≤⅔%+ℓ ⅞ ≈÷−¾+√ ⅞H ×÷⅘⅜ ⅘≠⅔ ⅞ ⅞ ⅜⅔⅚⅘ ⅖−==⅔Ĥ ⅞Ħ −≠∞ ⅞⅜⅘√ +⅘ +−¾⅔H √ +⅔⅜⅘√ =√H ≤≠− = −⅗≈ ¾ℓ×− +⅞≠∞ ∂≠≈ ⅝⅔⅜≈ ‰≈ +⅘ +−⅗− ⅞+⅔≤⅘H ≤⅘ H +⅔×÷⅞ ⅘÷H ¾ ≠− ⅚⅘ ĒØUŤ ŁÙŪTÙŪŦ ŬȚ ŅVŠŠȘĒĦ ⅔‰ √ +⅔≤⅔ ⅜⅘ ⅔≠∞ Ē − − −+⅔ĒĦ ⅘%=≠¾⅞⅘ ⅞⅗÷ℓ ÷⅔⅝¾−÷⅔≤⅞¾⅔⅘≠=√ ¾ <⅔ ⅞ ∞+− ⅝⅔ ‰⅘ − − −+⅔H ⅗ ⅔¾+−⅗− ⅗⅘÷−√ ⅞⅗÷ℓĦ ∫⅚⅘≠ ‰÷≈≠⅞≠=√ ¾−‰÷≈⅗ ∂≠−⅗− ⅝⅔ ‰⅔ ⅞ ⅜¾≈> ⅖÷⅔≠∞⅘¾H ×−= ⅘⅜+⅞> ⅞⅝ =⅘ ∞⅞ − − −+⅔Ħ ⅔+− ×−‰⅞+≈¾≥⅞% ⅞> −≠⅘±H −≤⅘+∞ ⅞⅝¾⅘=≠+ℓ% ⅞ ¾⅘ ⅞‰⅞% −÷≈Ĥ ⅚⅘%+⅞‰H −=≠⅔¾⅞ =ℓ+−¾∞√ ¾ +⅔= ⅘⅜=≠¾− ⅝⅔ −‰H ¾ ‰−≠−÷− −+ >÷⅔+⅞ ¾=Ω −÷≈⅚⅞⅘H =⅜⅘ ⅔++−⅘ ⅞ ⅝⅔ ¾=∫ ⅘⅗− ⅚⅞⅝+∞Ħ = −¾⅞⅘ ⅖ℓ − ≠⅔‰−¾−H ≤≠− ⅖÷⅔≠∞√ ⅜− ⅚+ℓ ⅖ℓ ⅞ =⅔ ⅞ ×−⅜⅘ ⅞≠∞ ¾ ⅔⅜⅘+⅞√ ⅝⅔ ‰⅔ ⅞ ¾=ΩH ≤≠− ≠⅔ +⅔>−⅜⅞ −=∞H ⅘⅚⅜≈ =−⅖−%Ħ =−⅚⅔ ⅘+⅞∫H ⅖÷⅔≠ − − −+⅔ ¾−⅝+⅔ ⅘÷⅞ =√ ⅝⅔⅖÷⅔≠∞ ¾=Ω =⅘⅖⅘H ×−∂≠− ≈ ×−⅝⅜+− +−≤∞∫H −+ ≈>−⅜⅞≠ ⅞⅝ ⅜− ⅔ ¾ ⅝⅔ −‰H ⅝⅔⅖÷⅔¾ ¾=Ω −÷≈⅚⅞⅘ ⅞⅝ ⅜− ⅔Ħ −>−% =−+ ×−⅜+⅞ ⅔⅘≠ − − −+⅔ = ‰÷−¾⅔≠⅞H ⅞ −+ ×−+⅞ ⅔⅘≠H ≤≠− ⅘⅗− ⅖÷⅔≠ +⅘ =−Ĥ ⅖⅞÷⅔ =√ ≤⅘=≠+− ⅜⅘ ⅞≠∞ +⅔= ⅘⅜=≠¾− = +⅞ Ħ ₍⅝√¾ ⅘⅝⅘÷≠ ⅗ H ×⅞=≠− ⅘≠H ‰−≠−÷ℓ% ⅖ℓ =⅜⅘ ⅔+ −≠±− =×⅘±⅞⅔ ∞+− ⅜ √ − − −+⅔H −+ −≠×÷⅔¾ √⅘≠=√ ¾ ⅝⅔ −‰H ≤≠−⅖ℓ ÷⅔⅝−⅖÷⅔≠∞=√H ×−≤⅘ ≈ ⅘⅗− ÷−⅜+−% ⅖÷⅔≠ ≠⅔‰ ×−=≠≈×⅞ Ħ ⅗÷−‰≈ ×÷⅘⅜=≠−⅞≠ ×÷−%≠⅞=∞ ×− <⅔ ⅞ ∞+− ≈ ⅝⅔ ‰≈ − − −+⅔H ⅗⅜⅘ >÷⅔+⅞≠=√ +−⅚⅘=≠¾− −÷≈⅚⅞√ ⅞ =−‰÷−¾⅞¬H ⅔ ≠⅔‰Ĥ ⅚⅘ ≠⅔√≠=√ ≠− ×ℓ ⅝ −⅖+ℓ> ≠¾⅔÷⅘%H ‰−≠−÷ℓ⅘ ⅝⅔×− −+⅞ ⅞ ⅝⅔ −‰Ħ Ē − +⅔≠ℓĒ ¾ ∂≠−% ⅞⅗÷⅘ ⅞⅜≈≠ ¾÷⅔⅝+−⅖−% ⅞⅝ ‰≈≤‰⅞ ⅗−Ĥ ≠−¾ℓ>H ×−∂≠− ≈ ‰⅔⅚⅜ℓ% ÷⅔⅝ ¾ℓ ⅖≈⅜⅘≠⅘ ×÷−>−⅜⅞≠∞ ⅞⅗÷≈ = ÷⅔⅝+ℓ ⅞ ×− ×−÷√⅜‰≈ ≈÷−¾+√ ⅞Ħ ⅔‰⅚⅘H +⅔ ≈÷−¾+√> +⅔>−Ĥ ⅜√≠=√ =≈+⅜≈‰⅞H ⅞⅝ ‰−≠−÷ℓ> ≠−⅚⅘ ¾ℓ×⅔⅜⅔∫≠ = ≈≤⅔%+ℓ⅘ ¾⅘¬⅞Ħ ÷⅞≤Ω H = ‰⅔⅚⅜ℓ +−¾ℓ ×÷−>−⅚⅜⅘+⅞⅘ −⅚+− ⅖≈Ĥ ⅜⅘≠ −≠‰÷ℓ¾⅔≠∞ +−¾ℓ% ‰−+≠⅘+≠ ⅜ √ =≈+⅜≈‰−¾H +≈ ⅔ ≠⅔‰⅚⅘ +−¾ℓ⅘ ∂¾⅘+≠ℓH +−¾ℓ> ¾÷⅔⅗−¾ ⅞ ⅜⅔⅚⅘ +−¾ℓ> ⅖−==−¾Ħ ¬⅘ ¾ ⅞⅗÷⅘ ×÷⅞=≈≠=≠¾≈⅘≠ +⅘⅖− ∞≥⅔√ ×÷−‰⅔≤‰⅔ =≠⅔≠−¾ ₎₎H +⅔×÷⅞ ⅘÷H ≈÷−+H =‰−÷−=≠∞ ×⅘÷⅘⅜¾⅞⅚⅘+⅞√H =‰−÷−=≠÷⅘ ∞+−=≠∞ ⅞ ≠Ħ⅜Ħ ₍ =≈+⅜≈‰⅔> ⅞⅗÷−‰ ⅖≈⅜⅘≠ +⅔>−⅜⅞≠∞ −÷≈⅚⅞⅘ ÷⅔⅝+ℓ> ≠⅞×−¾H ×÷⅞≤⅘ +⅘ ≠− ∞‰− =≠÷⅘ ‰−¾−⅘Ħ ×÷⅞ ⅘÷≈H −⅚+− −⅖Ĥ +⅔÷≈⅚⅞≠∞ ≠⅔‰⅞⅘ ≥≠≈‰⅞H ‰⅔‰ ⅗÷⅔+⅔≠ℓH ⅘≤⅞H ⅔⅗⅞≤⅘=‰⅞⅘ ×⅘÷≤⅔≠‰⅞ ⅞ ≠Ħ⅜Ħ ⅔‰ ‰⅔‰ ¾=Ω ¾ℓ×⅔⅜⅔⅘≠ = ≈≤⅔%+−H ¾⅔ −⅚⅘≠ ⅜−=≠⅔≠∞=√ ∫⅖⅔√ Ē⅞⅗÷≈≥‰⅔ĒH = ‰−≠−÷−% ×÷−>−⅜⅞≠∞ ⅞⅗÷≈ ⅖≈⅜⅘≠ +⅘ +−⅗− ×÷−¬⅘Ħ ₍=Ω ⅜−×− +⅞≠⅘ ∞+−⅘ −÷≈⅚⅞⅘ ⅖≈⅜⅘≠ ⅜⅔¾⅔≠∞=√ ¾− ¾≠−÷≈∫ ÷≈‰≈H ≠− ⅘=≠∞ ¾ℓ = −⅚⅘≠⅘ ×−=≠÷⅘ √≠∞ ×−Ĥ ⅔‰⅘⅜−+=‰⅞H ⅞⅖− ¾ ÷⅔⅝+ℓ⅘ =≠−÷−+ℓĦ ⅔‰⅚⅘ ¾ ⅞⅗÷⅘ ⅖≈Ĥ ⅜⅘≠ =⅞=≠⅘ ⅔ =−‰÷−¾⅞¬H ‰−≠−÷ℓ⅘ ⅖≈⅜≈≠ +⅔>−⅜⅞≠∞=√ ¾ =×⅘±Ħ ‰− +⅔≠⅔>H ⅗⅜⅘ −≠ ⅞⅗÷−‰⅔ ×−≠÷⅘⅖≈⅘≠=√ ⅖− ∞≥⅘ ≈=⅞ ⅞% ⅞ =+−÷−¾‰⅞Ħ ⅕≠⅞ =−‰÷−¾⅞¬⅔ ⅖≈⅜≈≠ ×− −⅗⅔≠∞ −≠‰÷ℓ¾⅔≠∞ +−¾ℓ% ‰−+≠⅘+≠Ħ ≠÷Ħ ÍÏ

₍÷⅔⅗⅞ ¾ ⅞⅗÷⅘ =⅔ ℓ⅘ ÷⅔⅝+−−⅖÷⅔⅝+ℓ⅘H +⅘‰−≠−÷ℓ⅘ ⅞⅝ +⅞> ⅖⅘⅝−⅖⅞⅜Ĥ +− ⅖÷−⅜√≠ ×− ⅝⅔ ‰≈H ⅔ +⅘‰−≠−÷ℓ⅘ ≠¾Ω÷⅜− +⅔=≠÷−⅘+ℓ ≈⅖⅞≠∞ +⅘Ĥ ⅝¾⅔+−⅗− ⅗−=≠√Ħ −√¾ √∫≠=√ −+⅞ +⅔ ≈÷−¾+√> ¾ = ≈≤⅔%+ℓ> ⅘=≠⅔>H >−≠√ ‰−⅘Ĥ⅗⅜⅘H +⅔×÷⅞ ⅘÷H ⅝⅔ ⅜¾⅘÷√ ⅞ =−‰÷−¾⅞¬+⅞±H ¾ℓ ¾=≠÷⅘≠⅞Ĥ ≠⅘=∞ = +⅞ ⅞ ≈⅚⅘ +⅘ = ≈≤⅔%+−Ħ ‰⅔⅚⅜ℓ +−¾ℓ ≈÷−¾+⅘ ⅖≈⅜≈≠ ×−√¾ √≠∞=√ ¾=Ω ⅖− ⅘⅘ =⅞ ∞+ℓ⅘ ¾÷⅔⅗⅞H ¾ ≠− ≤⅞= ⅘ Ē⅜⅘ −+⅞≤⅘Ĥ =‰⅞⅘ĒH ‰−≠−÷ℓ> ⅞⅗÷−‰ = −⅚⅘≠ ≈⅖⅞≠∞ ≠− ∞‰− ≠−⅗⅜⅔H ‰−⅗⅜⅔ −+⅞ +⅘Ĥ ×−=÷⅘⅜=≠¾⅘++− +⅔≤+≈≠ ⅔≠⅔‰−¾⅔≠∞ ⅘⅗−Ħ ₌−==ℓ ≠⅔‰⅚⅘ ÷⅔⅝+−−⅖÷⅔⅝Ĥ +ℓ ⅞ ×−×⅔⅜⅔∫≠=√ ÷⅔+⅜− +−Ħ √ ×−⅖⅘⅜ℓ +⅔⅜ +⅞ ⅞ +⅘−⅖>−⅜⅞ − ⅖≈⅜⅘≠ ¾ℓ⅖÷⅔≠∞ ⅖− ⅘⅘ ∂<<⅘‰≠⅞¾+≈∫ ≠⅔‰≠⅞‰≈ ×⅘÷⅘⅜¾⅞⅚⅘+⅞√ ×− ×− ∫ ⅖−√H ⅞H ÷⅔⅝≈ ⅘⅘≠=√H ×−≠÷⅘⅖≈⅘≠=√ =¾−⅘¾÷⅘ ⅘++⅔√ =≠÷⅘ ∞⅖⅔ ¾ ⅖−==⅔Ħ ⅔⅝÷⅔⅖⅔≠ℓ¾⅔∫ ⅞⅗÷≈ √ ×−‰⅔Ĥ≤≠− −⅜⅞+Ħ ₍×÷−≤⅘ H √ =×−‰−%+− ⅜⅘Ĥ ⅔∫ ⅘Ω ¾ −⅜⅞+−≤‰≈ ⅞ ×−‰⅔ +⅘ ⅞=×ℓ≠ℓ¾⅔∫ ⅜⅘<⅞±⅞≠⅔ ¾ ⅗÷⅔<⅞‰⅘H ⅝¾≈‰⅔>H ≈⅝ℓ‰⅘ ⅞ ≠Ħ⅜ĦH ≠⅔‰ ‰⅔‰ ¾=Ω ×−‰⅔ −⅗≈ ⅜−=≠⅔≠∞ ⅞ =⅜⅘ ⅔≠∞ =⅔Ĥ −=≠−√≠⅘ ∞+−Ħ ⅔⅝¾⅘ ≤≠− ≠− ∞‰− −⅜+≈H Ē₎ ₋₍ ⅙Ē ≈⅝ℓ‰⅔ ∞+≈∫ ‰− ×−⅝⅞±⅞∫ ⅜ √ ⅞⅗÷ℓ +⅘ =⅜⅘ ⅔ ₋÷≠Ω −≈≤⅔=+⅘⅗ H ⅝⅔ ≤≠− ⅘ ≈ ¾ℓ÷⅔⅚⅔∫ −⅗÷− +−⅘ =×⅔=⅞⅖−H ⅞⅖− ⅘⅗− ≈⅝ℓ‰⅔ ¾=⅘⅗⅜⅔ ⅘+√ ¾⅜−>+−¾ √ ⅔Ħ ⅗÷⅔ ⅗−≠−¾⅔ ×÷⅞ ⅘÷+− +⅔ ×− −¾⅞+≈ ⅞ ≈⅚⅘ ¾×− +⅘ ⅞⅗÷⅔⅖⅘ ∞+⅔H −⅜+⅔‰−H −=≠⅔ −=∞ +⅔⅖⅞≠∞ ⅘Ω ‰−+≠⅘+≠− ⅞ ≈÷−¾+√ ⅞Ħ ⅔‰⅚⅘H ¾ − − −+⅘ ×−‰⅔Ĥ≤≠− ¾=⅘⅗− ⅞≥∞ Ĩ ⅖−==⅔H ⅔ ∂≠−⅗−H ‰⅔‰ ¾ℓ ×−+⅞Ĥ ⅔⅘≠⅘H ⅔ −¾⅔≠−Ħ ⅔⅚⅘ ⅘+∫ ⅘¬Ω +⅘ =⅜⅘ ⅔+−H ₌ Ë JĞ ⅛ +⅘ −⅗≈ ≠−≤+− =‰⅔⅝⅔≠∞H ‰−⅗⅜⅔ ⅝⅔‰−+≤≈ ⅜⅘ ⅔≠∞ ×÷−⅘‰≠H ≠⅔‰ ‰⅔‰ √ ≠⅔‰−% ≤⅘ −¾⅘‰H ‰−≠−÷ℓ% −⅚⅘≠ ⅝⅔ −⅜⅞+ ⅜⅘+∞ ⅝⅔×⅞ ⅞≠∞ Î +−¾ℓ> ¾÷⅔⅗⅔ ⅞ ⅞ ±⅘ ℓ% ≈÷−¾⅘+∞H ⅞ ⅞ ⅝⅔ ±⅘ ≈∫ +⅘⅜⅘ ∫ +⅞≤⅘÷≠⅔ +⅘ =⅜⅘Ĥ ⅔≠∞ ⅞ ÷⅔⅜−¾⅔≠∞=√ ∂≠− ≈Ħ

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−≤⅘ ≈ ¾ℓ ×⅘÷⅘+−=⅞≠⅘ ⅞⅗÷≈ ¾ ÞŞŬẄ ÒÙẂŤ ĻŲȘŠTŤĹ ₌− ∞Ĥ ≥⅞+=≠¾− ÷⅔⅝÷⅔⅖−≠≤⅞‰−¾ =+⅔≤⅔ ⅔ ⅜⅘ ⅔∫≠ ⅞⅗÷ℓ ⅜ √ ÞŁÒĻH ⅞ ≠− ∞‰− ×−≠− H ×÷− ×÷−≥⅘=≠¾⅞⅞ −×÷Ħ ¾÷⅘ ⅘+⅞ ¾ℓ×≈=‰⅔∫≠ ⅞> ¾ ŐWŤŠÜĦ ŐŤŲÙŬẀV ŐŠÜ MŬẀŞŨŤ M ×⅘÷¾−+⅔≤⅔ ∞+− ⅝⅔⅜≈ ℓ¾⅔ ⅔=∞ ‰⅔‰ ⅔÷‰⅘≠⅞+⅗−¾⅔√ ⅞⅗÷⅔ ⅜ √ ŐŤŲÙŬẀV ŐŠÜ ĨJ ŁŃNĦ ⅕≠− ×÷⅘‰÷⅔=Ĥ +−H ≤≠− −+⅔ ×− ≈≤⅞ ⅔=∞ ⅗−÷⅔⅝⅜− ⅖− ⅘⅘ ¾⅘=⅘ −% ⅞ ⅖− ∞≥−%H ≤⅘ MŤẂŬŨẂŤŲ ⅞ √ =≤⅞≠⅔ ⅞ ¾+⅔≤⅔ ⅘Ħ ⅘÷¾−+⅔≤⅔ ∞+ℓ% ⅖∫⅜Ĥ ⅚⅘≠ ⅞ =÷−‰⅞ +⅘ ⅖ℓ ⅞ ⅖− ∞≥⅞ ⅞H ⅞ ℓ ⅜− ⅚+ℓ ⅖ℓ ⅞ ¾ℓĤ ⅖÷⅔≠∞ −×÷⅘⅜⅘ ⅘++≈∫ ±⅘ ⅘¾≈∫ × ⅔≠<−÷ ≈Ħ ŐŤŲÙŬẀV ŐŠÜ ¾×⅘÷¾ℓ⅘ ⅖ℓ ¾ℓ×≈¬⅘+ ¾ ÎÌÌÍ ⅗−⅜≈ ⅞ ⅘++− +⅔ ÖĿĦ −∂≠−Ĥ ≈H √ ×−⅜≈ ⅔ H ≤≠− ∂≠⅔ × ⅔≠<−÷ ⅔ ×− ×÷⅘⅚+⅘ ≈ ×−⅜>−⅜⅞≠ ⅜ √ +⅔= ≈≤≥⅘ ¾=⅘⅗−H −=−⅖⅘++− ⅜ √ <⅔+⅔≠−¾ =⅘÷⅞⅞Ħ −= ⅘ ≠−⅗−H ‰⅔‰ ⅞⅗÷⅔ ⅖ℓ ⅔ ⅝⅔×≈¬⅘+⅔ ¾ ŐWŤŠÜ ⅞ ⅖ℓ ⅔ ≠⅘× − ¾=≠÷⅘≤⅘+⅔ ⅞⅗÷−‰⅔ ⅞H ℓ +⅔≤⅔ ⅞ ⅜≈ ⅔≠∞ − ¾⅘÷=⅞⅞ ⅜ √ ÞŁÒĻĦ ⅘+⅔ ⅞⅗÷ℓ ¾ ≠⅞ ⅘ =−=≠⅔¾ √⅘≠ ¾=⅘⅗− ĖĮH ¾ ≠− ¾÷⅘ √ ‰⅔‰ ¾⅘÷=⅞√ ⅜ √ ÞŁÒĻ ⅖≈⅜⅘≠ =≠−⅞≠∞ ĖÍÌH ≠Ħ‰Ħ ℓ ⅜−⅖⅔¾⅞ ⅞ ¾ +⅘Ω +⅘‰−≠−÷ℓ⅘ +−¾ℓ⅘ <⅞≥‰⅞ ⅞ ⅝+⅔≤⅞≠⅘ ∞+− ÷⅔=≥⅞÷⅞ ⅞ ⅘ΩĦ ⅛ ×−+⅞ ⅔∫H ≤≠− ℓ ¾ℓ⅖÷⅔ ⅞ +⅘×÷⅔¾⅞ ∞+ℓ% ×−÷√⅜−‰ ¾ℓ×≈=‰⅔ ⅞⅗÷ℓH +−H √ ⅜≈ ⅔∫H ≤≠− ⅖≈⅜⅘≠ +⅔ +−⅗− ⅖− ∞≥⅘ = ℓ= ⅔ ¾ℓ×≈=≠⅞≠∞ MŬẀŞŨŤ M ⅞ ⅘++− +⅔ ‰−+=− ⅞ Ĝ≠Ħ‰Ħ ⅗⅘% Ĥ × ⅘%+− −+⅔ =>−⅚⅔ = ≠−%Ĥ⅚⅘ ĿŬŪWŲŠĞĦ +−⅗− ⅞ ¾÷⅘ ⅘+⅞ ⅞ =⅞ ⅝⅔+√ ⅔ ÷⅔⅖−≠⅔ +⅔⅜ ∂≠⅞ ×−÷≠Ĥ − H ⅞ ⅞ ⅚⅘ ∂≠− × ⅔+⅞÷−¾⅔ −=∞ ≈ ¾⅔= ≈⅚⅘ ⅜⅔¾+−Ĺ

⅔H ÷⅔⅖−≠ℓ +−⅗−Ħ ₍=√ ÷⅔⅝+⅞±⅔ ⅝⅔‰ ∫≤⅔⅘≠=√ ¾ ≠− H ≤≠− ∂≠⅔ ⅞⅗÷⅔ √¾ √⅘≠=√ ≤⅘ Ĥ≠− ⅖− ∞≥⅞ H ≤⅘ ×÷√ −% ×−÷≠H +− ¾=⅘ ⅚⅘ ⅘+∞≥⅞ H ≤⅘ ×− +− ⅔=≥≠⅔⅖+ℓ% =⅞‰¾⅘ Ħ +⅔= ⅖ℓ − ⅗−÷⅔⅝⅜− ⅖− ∞≥⅘ ⅞⅜⅘% ⅜ √ ¾⅘÷=⅞⅞ +⅔ H +− +⅘ ⅖ℓ − +⅔ ∂≠− ¾÷⅘ ⅘+⅞Ħ ⅔⅜⅘∫=∞H ≤≠− ¾ ÞŁÕÞ ¾⅘÷=⅞⅞ ℓ = −⅚⅘ ¾−× −Ĥ ≠⅞≠∞ ¾=Ω ≠−H − ≤⅘ ⅘≤≠⅔ ⅞ ÷⅔+⅘⅘Ħ ⅔ −⅘ ⅞⅜⅞−≠=‰−⅘ Ĥ ∂≠− ≠−H ≤≠− ¾=⅘ ∂≠− +⅘ ⅖ℓ − ⅝⅔× ⅔+⅞÷−Ĥ ¾⅔+− = =⅔ −⅗− +⅔≤⅔ ⅔Ħ ⅗÷⅔ ⅜− ⅚+⅔ ⅖ℓ ⅔ ⅖ℓ≠∞ ×÷−=≠−% ⅞ ‰−÷−≠‰−%H +− ¾ℓ≥ ⅔ ⅞⅝Ĥ×−⅜ ‰−+≠÷− √H ⅞ +⅔= ⅝⅔≠√+≈ − ¾ =⅔ ×÷−±⅘== =−⅝⅜⅔+⅞√H ≤≠− ¾ ≠− ⅚⅘ ¾÷⅘ √ ⅜−=≠⅔¾ √ − +−Ĥ ⅗− =≠÷⅘==−¾ℓ> =⅞≠≈⅔±⅞%Ħ − =≈≠⅞H ℓ ⅖≈⅜⅘ ⅞=×− ∞⅝−¾⅔≠∞ ¾=⅘ ≠⅘ ⅚⅘ ⅔≠⅘÷⅞⅔ ℓ ⅞ =÷⅘⅜=≠¾⅔ ⅞⅝ −÷⅞⅗⅞+⅔ ∞+−% ⅞⅗÷ℓH +− ¾−≠ ÷⅔⅖−≠ℓ = ⅗÷⅔<⅞‰−%H ×÷−⅗÷⅔ ⅞÷−¾⅔+⅞⅘ H ‰−⅜⅞+⅗− H ⅔+⅞ ⅔±⅞⅘% ×− =÷⅔¾+⅘+⅞∫ = ¾⅘÷=⅞⅘% ⅜ √ ≈ +⅔= ≠⅘×⅘÷∞ ⅗−÷⅔⅝⅜− ⅖− ∞≥⅘Ħ ⅔×÷⅞ ⅘÷H ¾ ⅞⅗÷⅘ −=≠⅔ ⅞=∞ ×⅘÷¾−+⅔≤⅔ ∞+ℓ⅘ Į ≠⅞×−¾ ×≈Ĥ ≥⅘‰H +− ≠⅘×⅘÷∞ ⅜ √ ‰⅔⅚⅜−⅗− ‰ ⅔==⅔ −÷≈⅚⅞√ ⅘=≠∞ Ï ⅔×⅗÷⅘%Ĥ ⅜⅔ Ĝ⅞≠−⅗− ℓ =−⅝⅜⅔⅘ ĨÎ ÷⅔⅝+ℓ> −÷≈⅚⅞√H ¾‰ ∫≤⅔√ Į −÷⅞⅗⅞Ĥ +⅔ ∞+ℓ>ĞĦ +⅘ ×÷⅞>−⅜⅞≠=√ ≈=⅘÷⅜+− ÷⅔⅖−≠⅔≠∞ +⅔⅜ ¾=⅘ ⅞ −⅖+−¾ ⅘+⅞√ ⅞ −÷≈⅚⅞√H ≤≠−⅖ℓ ⅞⅗÷−‰ ×− ≈≤⅔ ≈⅜−¾− ∞Ĥ =≠¾⅞⅘ −≠ ⅞> ⅔×⅗÷⅘%⅜⅔Ħ ⅔‰⅚⅘H ⅞⅝Ĥ⅝⅔ ×−√¾ ⅘+⅞√ +−¾−% −⅗+⅘Ĥ ¾−% −¬⅞H +⅔ ×÷⅞>−⅜⅞≠=√ ×⅘÷⅘⅜⅘ ℓ¾⅔≠∞ ¾=⅘ ≈÷−¾+⅞ ¾ =−Ĥ −≠¾⅘≠=≠¾⅞⅞ = +−¾ℓ ⅞ ¾−⅝ −⅚+−=≠√ ⅞ ⅞⅗÷−‰⅔Ħ

≠÷Ħ ÍĬ

⅔‰−¾− ¾⅔ =+−¾⅔ ÷⅔⅖−≠⅔≠∞ = ≠⅘ ⅚⅘ ⅞⅝⅜⅔≠⅘ ⅘ ×−Ĥ = ⅘ −≠‰⅔⅝⅔ −≠ ⅜⅔ ∞+⅘%≥⅘⅗− =−≠÷≈⅜+⅞≤⅘=≠¾⅔H ¾⅘⅜∞ ¾ℓ +⅘ ∫⅖⅞≠⅘H ≤≠−⅖ℓ ¾⅔= −⅗÷⅔+⅞≤⅞¾⅔ ⅞ ¾ ≠¾−÷≤⅘=‰⅞> ÷⅔ Ĥ ‰⅔>Ħ MŤẂŬŨẂŤŲ MÙŦÙWŠŨ +⅔ ≈⅜⅞¾ ⅘+⅞⅘ ×÷⅘‰÷⅔=+ℓ% ⅞⅝⅜⅔≠⅘ ∞Ħ +⅞ ¾=⅘⅗−Ĥ ⅞≥∞ ×−⅜⅜⅘÷⅚⅞¾⅔∫≠ +⅔= <⅞+⅔+=−¾− ⅞ ⅔÷‰⅘≠⅞+⅗−Ĥ ¾−H +− ×÷⅞ ∂≠− ¾−−⅖¬⅘ +⅘ ⅘⅝≈≠ ¾ ÷⅔⅝÷⅔⅖−≠‰≈H +⅘ −⅗÷⅔+⅞Ĥ ≤⅞¾⅔∫≠ +⅔≥≈ ≠¾−÷≤⅘=‰≈∫ =¾−⅖−⅜≈Ħ ⅔‰ ≤≠−ĦĦĦ ∂≠− ⅝⅜−÷−¾−Ë ℓ ×− ×÷⅘⅚+⅘ ≈ +⅞ −≠ ‰−⅗− +⅘ ⅝⅔¾⅞=⅞ H ‰⅔⅚⅜ℓ% ≥⅔⅗ ÷⅔⅝Ĥ ÷⅔⅖−≠‰⅞ ×− ×÷⅘⅚+⅘ ≈ ‰−+≠÷− ⅞÷≈⅘ ≠− ∞‰− ℓ =⅔ ⅞Ħ − ⅞+−⅗⅜⅔ +⅔ ≠÷⅘⅖≈⅘≠=√ ×− −¬∞ ⅘¾− ¾⅘÷−¾ ¾ × ⅔+⅘ ÷⅘‰ ⅔Ĥ ℓ ⅞ ÷⅔⅝ ⅘¬⅘+⅞√ ⅞⅗÷ℓ ¾ ÞŁÒĻĦ ⅔‰ ¾ℓ ⅜−⅗−¾−÷⅞ ⅞=∞ ÷⅔⅖−≠⅔≠∞ ×− ⅞±⅘+⅝⅞⅞H ×÷⅞ ∂≠− =−>÷⅔+⅞¾ =¾−% ≈+⅞‰⅔ ∞+ℓ% =≠⅞ ∞ ⅞ =¾−⅖−⅜≈ ⅜⅘%=≠¾⅞%Ĺ ⅕≠− ⅖ℓ − ⅜−¾− ∞+− ≠÷≈⅜+− =⅜⅘ ⅔≠∞Ħ ₍ℓ ⅜− ⅚+ℓ −≤⅘+∞ >−Ĥ ÷−≥− ⅝+⅔≠∞ =⅘⅖√ ⅞ =≠≈⅜⅞∫Ħ ¾ℓ ⅜− ⅚+ℓ ⅝+⅔≠∞H ≤≠− ≠⅔‰−⅘ ⅞±⅘+⅝⅞√Ħ −= ⅘ ≠−⅗−H ‰⅔‰ ℓ ÷⅔⅝−⅖÷⅔ ⅞=∞H ‰⅔‰−¾− +⅔ ⅖≈Ĥ ⅜⅘≠ ÷⅔⅖−≠⅔≠∞ ¾ −⅖−⅞> ∂≠⅞> = ≈≤⅔√>H ℓ ×÷⅞≥ ⅞ ‰ ¾⅝⅔⅞ +−Ĥ ≈H ⅗⅔÷ −+⅞≤+− ≈ ¾⅝⅔⅞ −⅜⅘%=≠¾⅞∫Ħ ⅔×÷⅞ ⅘÷H ‰⅔‰ ⅖≈⅜⅘≠ ≤≈¾=≠¾−¾⅔≠∞ =⅘⅖√ ≥≈≠⅘÷ −≠ ×⅘÷¾−⅗− ⅞±⅔ ¾ ÎM ŲẀŪGŪGŦẀŪĤ⅔÷‰⅔⅜⅘Ĺ ₍ −÷⅞⅗⅞+⅔ ∞+− ∂ ⅘ ¾⅔ ×÷⅞>−⅜⅞ −=∞ ≠ℓ=√≤≈ ÷⅔⅝ ⅞⅗÷⅔≠∞ ×− ×÷⅞+±⅞×≈ ‰÷≈⅗−¾−⅗− =≠÷⅘%<⅔Ħ ≠−⅖ℓ =−>÷⅔+⅞≠∞ ∂≠≈ ⅘>⅔+⅞‰≈ ¾ =≠⅞ ⅘ MŬẀŞŨŤ MH ℓ ¾¾⅘ ⅞ ¾ ⅞⅗÷≈ ⅜⅚⅔ ×⅘÷ℓĦ − ⅘=≠∞ ¾ℓ ×÷⅞ ⅘+√⅘≠⅘ ∂≠−≠ ⅔%≠⅘ ⅞ ¾⅔= ×−⅜⅖÷⅔=ℓ¾⅔⅘≠ ¾ℓ=−‰− ¾ ¾−⅝⅜≈>Ħ ⅔‰⅚⅘H ⅞⅗÷−‰ −⅖ ⅔⅜⅔⅘≠ ⅔+⅘¾÷⅘++−=≠∞∫ ×− ⅘≠⅔ ¾ ×÷ℓ⅚‰⅘Ħ ⅕≠− ⅜− ⅚+− ⅖ℓ − ⅞ ⅞≠⅞÷−¾⅔≠∞ ≠⅔‰−% ‰÷≈⅗−¾−%Ĥ⅖÷⅘∫¬⅞% ×− ⅘≠Ħ ⅔‰⅔√ =⅞=≠⅘ ⅔ ×−⅝¾− √⅘≠ ¾⅔ ⅖ℓ≠∞ ⅖− ⅘⅘ ×−⅜⅔≠ ⅞¾ℓ ⅞ ×−⅜⅔Ĥ ⅞¾⅘⅘ ÷⅔⅖−≠⅔≠∞ ¾ ¾⅘÷≠⅞‰⅔ ∞+− ÎM +⅔×÷⅔¾ ⅘+⅞⅞H ⅔ ≠⅔‰⅚⅘ ×−⅝¾− √⅘≠ ÷⅔=≥⅞÷⅞≠∞ ×÷⅞¾ℓ≤+≈∫ ⅘>⅔+⅞‰≈ ×−⅜−⅖+ℓ> ⅞⅗÷Ħ ⅔⅚⅘ =⅔ ŇẀŪVWŠȘÛŤŲ ⅖ℓ −≠¾⅘≠− +⅔ ⅞+≠⅘⅗÷⅔±⅞∫ −÷⅞⅗⅞Ĥ +⅔ ∞+ℓ> ×≈≥⅘‰ ¾ ŐŐĦ ⅛ ⅝+⅔ H ≤≠− = ×÷⅞¾ℓ≤+−% =⅞=≠⅘ −% −÷≈⅚⅞√ −⅗≈ ×− ≈≤⅞≠∞ +⅘ ≠−≠ ÷⅘⅝≈ ∞≠⅔≠H ‰−≠−÷ℓ% ⅚⅜≈≠ <⅔Ĥ +⅔≠ℓ ⅞⅗÷ℓH ×−∂≠− ≈ √ ×÷⅞⅜≈ ⅔ ⅘≠−⅜ =−¾ ⅘¬⅘+⅞√ +⅘Ĥ =‰− ∞‰⅞> ×≈≥⅘‰ ×−=÷⅘⅜=≠¾− ŇẀŪVWŠÛŤŲĦ

> ⅔≠⅔+ −≈≠= ÷⅘⅝⅞⅜⅘+≠ ⅞ ⅗ ⅔¾Ĥ +ℓ% ⅜⅞⅝⅔%+⅘÷ ‰− ×⅔Ĥ +⅞⅞ ÓŬÜÜX V ŁŤVW ŇŠÜŤVK − −=+−¾⅔+⅞√ ÓŁŇH +−⅗− ⅘≠ ÷⅔Ĥ ⅖−≠⅔ ¾ ⅞⅗÷−¾−% ⅞+Ĥ ⅜≈=≠÷⅞⅞H ¾ ≤⅔=≠+−Ĥ =≠⅞H ¾ ŎẀŪŪÙŪŦ PÙWU ŐȘÙVVŬŲV +⅔⅜ =⅘÷⅞⅘% ÖÕŐØĻÒ ⅞ ¾ ŅŪVŬÜŪÙŠȘ ŇŠÜŤV +⅔⅜ ÖŐĨ Ĥ∂‰≥⅘Ĥ +− ŎŤVÙVWŠŪȘŤJ ŃŠŨŨ ŬȚ ÓŤŪĦ − ⅞ − +⅘×−=÷⅘⅜=≠¾⅘++−% ÷⅔⅝÷⅔⅖−≠‰⅞ ⅞⅗÷H √¾ √⅘≠=√ ⅔¾≠−÷− +−⅚⅘=≠¾⅔ =≠⅔Ĥ ≠⅘% ¾ ÷⅔⅝ ⅞≤+ℓ> ⅞⅗÷−¾ℓ> ⅞⅝⅜⅔+⅞√>Ħ

−⅖⅞÷⅔⅘≠⅘=∞ ⅞ ¾ℓ ×÷−⅜− ⅚⅔≠∞ ÷⅔⅖−≠⅔≠∞ +⅔ ÞŁÒŅŇ ⅞ = ≠⅔%≠ ⅔ ⅞ ×− ⅘+∞≥⅘H ⅞ ⅞ ≠⅘×⅘÷∞ ℓ ⅖≈⅜⅘ ¾⅞⅜⅘≠∞ ÓŬÜÜXGV ŁŤVW ŇŠÜŤV +⅔ ⅖− ∞≥− ⅞⅗÷−¾− ÷ℓ+‰⅘Ĺ ⅛ −×÷⅘⅜⅘ ⅘++− >−≠⅘ ⅖ℓ ×÷⅞⅜⅘÷⅚⅞¾⅔≠∞=√ −⅖⅘⅞> −⅖ ⅔=Ĥ ≠⅘%Ħ ≠⅞ ⅞ Ĥ=±⅘+⅔ =⅘%≤⅔= ×÷−±¾⅘≠⅔∫≠H ⅞ ∂≠− >−÷−≥− ⅜ √ ÷⅔⅝¾⅞≠⅞√Ħ ⅔ +÷⅔¾⅞≠=√ ÷⅔⅖−≠⅔≠∞ +⅔⅜ ≠⅔‰⅞ ⅞ ‰÷≈×+ℓĤ ⅞ ×÷−⅘‰≠⅔ ⅞H ‰⅔‰ ÞÞÒ ⅜ √ ÞŁÒĻĦ ₋ ⅔ ⅘+∞‰⅞⅘ ⅞⅗÷ℓ ⅜ √ ÞŁÒŅŇ ×÷−=≠− ¾⅘=⅘ − =−⅝⅜⅔¾⅔≠∞H ÷⅔⅝÷⅔⅖−≠‰⅔ ≠⅔ ⅞⅜⅘≠ ⅖ℓĤ =≠÷⅘⅘H ⅔ ÷⅞=‰ Ĥ ⅞+⅞ ⅔ ⅘+Ħ ℓ ⅝⅔÷⅔⅖−≠⅔ ⅞ >−÷−≥⅞⅘ ⅜⅘+∞⅗⅞ +⅔ ÞŁÒŅŇ ⅞ ≠⅘×⅘÷∞ = −⅗ ⅞ ¾ℓ÷¾⅔≠∞=√ ⅞ +⅔ ŐWŤŠÜĤ × ⅔≠<−÷ ≈Ħ ⅜+⅔‰−H ≤≠−⅖ℓ ⅝⅔÷⅔⅖−≠⅔≠∞ >−÷−≥⅞⅘ ⅜⅘+∞⅗⅞ +⅔ ÞŁÒŅŇH ≈ ÷⅔⅝÷⅔⅖−≠≤⅞‰⅔ ⅜− ⅚+⅔ ⅖ℓ≠∞ ×÷⅔¾⅞ ∞+⅔√ ⅞⅗÷⅔Ħ −≠∞ ≈ +⅔= ⅞ ⅖ℓ ⅞ >−÷−≥⅞⅘ ≈=×⅘>⅞ +⅔ ÞŁÒŅŇH +− +⅘‰−≠−÷ℓ⅘ +⅔≥⅞ ⅞⅗÷ℓ ⅞+−⅗⅜⅔ <⅔‰≠⅞≤⅘=‰⅞ ×÷−⅗−÷⅔ ⅞ ĜNẄŮŨŬVÙŬŪŠTŤH ‰ ×÷⅞ ⅘÷≈ĞĦ − √ ×÷−⅜− ⅚≈ × ⅔+⅞÷−¾⅔≠∞ ⅞ ×÷−⅘‰≠⅞÷−¾⅔≠∞ ⅞⅗÷ℓ ×−⅜ ÞŁÒŅŇ ¾ ⅖≈⅜≈¬⅘ Ħ +⅘ +÷⅔¾⅞≠=√ ∂≠⅔ × ⅔≠<−÷ ⅔ ⅞ ‰− ∞∫Ĥ +⅞≠⅞Ħ ÞŁÒŅŇ −≤⅘+∞ >−÷−≥⅔ ⅜ √ ÷⅔⅝÷⅔⅖−≠‰⅞ ⅞⅗÷H +− +⅘ ⅜ √ ⅝⅔÷⅔⅖−≠‰⅔ ⅜⅘+⅘⅗Ħ − ⅔≠⅘÷⅞⅔ ⅔ =⅔%≠⅔ ŇŠÜŠVẀWŲŠĦȘŬÜ

≠÷Ħ Íİ

−÷−⅗⅞⅘ ≤⅞≠⅔≠⅘ ⅞Ë ÷⅘⅜=≠⅔¾ √⅘ ¾⅔≥⅘ ≈ ¾+⅞ ⅔Ĥ +⅞∫ +−¾≈∫H ∂‰=×⅘÷⅞ ⅘+≠⅔ ∞+≈∫ ÷≈⅖÷⅞‰≈ ⅚≈÷+⅔ ⅔ ŐŤŲÙŬẀV ØÙÜŤ Ĥ =−⅖−⅘ +⅘+⅞⅘ Ħ ≈≠∞ ÷≈⅖÷⅞‰⅞ ×÷−=≠⅔ ⅞ +⅘≠÷⅞¾⅞⅔ ∞+⅔J =×⅘±⅞⅔ ∞+− ×÷⅞⅗ ⅔≥⅘++ℓ⅘ ⅔¾≠−÷ℓH >−÷−≥⅞⅘ ⅝+⅔≠−‰⅞ ¾=⅘ ⅘++−% ⅞⅗÷ℓ ŐŤŲÙŬẀV ŐŠÜH ⅜⅘ √≠=√ =¾−⅞ ⅞ ℓ= √ ⅞ ⅞ ÷⅔=≈⅚⅜⅘+⅞√ ⅞ ×− ×−¾−⅜≈ ≠⅘> ⅞ ⅞ ⅞+ℓ> ≠⅘ H =¾√⅝⅔++ℓ> = ⅞⅗÷−¾−% =⅘Ĥ ÷⅞⅘%Ħ ⅖=≈⅚⅜⅘+⅞⅘ ×÷−≥ ℓ> ⅞ ⅖≈⅜≈¬⅞> ⅞⅗÷ ĿŲŬWŤĤ ŠÜH ⅔‰≈≠⅔ ∞+ℓ⅘ ×÷−⅖ ⅘ ℓ ‰− ∞∫+⅞≠⅞H +⅘÷⅔⅝÷⅘≥⅘+Ĥ +ℓ⅘ ¾−×÷−=ℓ ⅞ +⅘×−⅜+√≠ℓ⅘Ĝ⅞ +⅘×−+√≠ℓ⅘Ğ ÷⅔+⅘⅘ ≠⅘Ĥ ℓ Ĥ ⅔¾≠−÷ℓ ÷≈⅖÷⅞‰⅞ ¾ℓ=‰⅔⅚≈≠ =¾−ΩH −=−⅖−⅘ +⅘Ĥ +⅞⅘ ×− ∂≠⅞ ¾−×÷−=⅔ Ħ

√ ⅜⅔++−⅗− ¾ℓ×≈‰⅔ ℓ ×÷⅞⅗ ⅔=⅞ ⅞ ¾ℓ=‰⅔Ĥ ⅝⅔≠∞ =¾−⅘ +⅘+⅞⅘ ×− ×÷−⅞⅝¾− ∞+ℓ ≠⅘ ⅔ ⅜¾≈> ⅝⅔= ≈⅚⅘++ℓ> ≠÷≈Ĥ<∂+−¾ VŤŲÙŬẀVVÙĤ WŤĦŲẀH ∫⅜⅘%H ‰−≠−÷ℓ⅘ ×−Ĥ+⅔=≠−√¬⅘ ≈ ∫⅖√≠ ⅞ ±⅘+√≠ ⅞⅗÷≈ ŐŤŲÙŬẀV ŐŠÜ Ĥ ŐĻŐÑĻĤPŎÞ ⅞ OĻĤ ÓŅOĻRNĦ ⅘++− −+⅞ ×−⅜⅘ √≠=√ = ≤⅞≠⅔≠⅘ √Ĥ ⅞ =¾−⅞ ⅞ +⅘+⅞√ ⅞ ×− ×−¾−⅜≈ ⅖≈⅜≈¬⅘⅗− =⅘÷⅞⅞ ŐŤŲÙŬẀV ŐŠÜ Ĥ ⅞ ⅘⅗− ×÷−≥ −⅗−Ħ

≠÷Ħ ÍĮ

KKK

pboflrp p^j ⅘≠Ë ⅕≠−⅗− +⅘ −⅚⅘≠ ⅖ℓ≠∞Ħ ⅛ ⅚⅘ ≠− ∞‰− ≤≠− −≠×÷⅔¾⅞ ≠⅘⅖√ +⅔⅝⅔⅜H ¾ ⅖≈⅜≈¬⅘⅘ĦĦĦ −⅖÷ℓ% ¾⅘≤⅘÷H ⅜−÷−⅗⅞⅘ +⅔≥⅞ ×−‰ −++⅞‰⅞ =− ¾=⅘% ₎⅔ ⅔‰≠⅞‰⅞Ħ ≠−×H +⅘≠H ∂≠− ⅞⅝ ⅜÷≈⅗−⅗− ‰⅞+−Ħ ₍ ≠⅔‰− = ≈≤⅔⅘H ×÷−=≠− ×÷⅞¾⅘≠=≠¾≈∫ ¾=⅘>H ≤⅞≠⅔∫¬⅞> ∂≠≈ =≠⅔≠∞∫Ħ

ŃẀWẀŲŤ ŬȚ ŐŤŲÙŬẀV ŐŠÜ

− ⅘+≠⅔ ¾ℓ>−⅜⅔ ŐŤŲÙŬẀV ŐŠÜ ĨJ ŁŃN ×÷−≥ − ≈⅚⅘ ¾−=⅘ ∞ ⅘Ĥ =√±⅘¾Ħ ⅔ ∂≠− ¾÷⅘ √ ĿŲŬWŤŠÜ ≈=×⅘ ⅞ ×−÷⅔⅜−¾⅔≠∞ +⅔= ×−÷≠− =¾−⅘% ×−= ⅘⅜+⅘% ⅞⅗÷ℓ +⅔ ÓŠȘ ÕŐ ⅞ ¾ℓ>−⅜− MÒĿ ĒÒŤŦŤŪT ŬȚ WUŤ ŁŤŠVWĒ ⅜ √ ØUŤ ŐŤȘŬŪT NŪȘŬẀŪWŤŲ ÑMĦ ⅔‰⅚⅘H ⅖ℓ ⅞ ⅔+−+=⅞Ĥ ÷−¾⅔+ℓ ‰−+=− ∞+ℓ⅘ ¾⅘÷=⅞⅞ ŐŤŲÙŬẀV ŐŠÜ ĨJ ŁŃN ⅞ MÒĿ ĒŊŤŴŤŨ ŬȚ WUŤ ÔÙŨŤĒĦ ₍=Ω ∂≠− −≤⅘+∞ >−÷−≥−H −⅜+⅔‰−H >−÷¾⅔≠ℓ ⅜− =⅞> ×−÷ − ≤⅔≠ − ⅖≈⅜≈¬⅘ =⅘÷⅞⅞Ħ ⅘≤∞ ⅞⅜Ω≠ − ×− +−±⅘++− ×÷−⅜− Ĥ ⅚⅘+⅞⅞ ∂≠−% ⅝⅔>¾⅔≠ℓ¾⅔∫¬⅘% ⅞=≠−÷⅞⅞Ħ −H ‰ =≤⅔=≠∞∫H ĿŲŬWŤŠÜ −=≠⅔¾⅞ ⅞ +⅔ ‰−⅘Ĥ‰⅔‰−% ⅔≠⅘÷⅞⅔ H +⅔ −=+−¾⅘ ‰−≠−÷−⅗− −⅚Ĥ +− =≠÷−⅞≠∞ +⅘‰−≠−÷ℓ⅘ ×÷⅘⅜×− −⅚⅘+⅞√Ħ

₍⅞⅜⅘− − =−⅝⅜⅔+⅞⅞ ŐŤŲÙŬẀV ŐŠÜ ĨJ ŁŃN

⅕≠−≠ ¾⅞⅜⅘−÷− ⅞‰ ⅞ ⅘⅘≠ ¾−⅝ −⅚+−=≠∞ ×−= −≠÷⅘≠∞ ‰⅔⅚⅜ℓ%H ≈ ‰−⅗− ⅘=≠∞ ŐŤŲÙŬẀV ŐŠÜ Ĩ MŤŨẀẄŤ NTÙWÙŬŪĦ −⅖÷ℓ⅘ >−÷¾⅔≠ℓ ×−‰⅔Ĥ ⅝ℓ¾⅔∫≠ +⅔ H ‰⅔‰ =−⅝⅜⅔¾⅔ ⅔=∞ ⅞⅗÷⅔Ħ − ∂≠− −≠+∫⅜∞ +⅘ =⅔ −⅘ ⅞+≠⅘÷⅘=+−⅘ ¾ ∂≠− ¾⅞⅜⅘−÷− ⅞‰⅘Ħ ≈⅜⅔ ⅖− ∞≥⅘ ⅘+√ ≈⅜⅞¾⅞ ⅔÷≠ ¾ ‰−+±⅘Ħ

=¾−⅞ ⅗− −¾ℓ ¾ ÷⅔⅝⅜≈ ∞√>Ħ − ¾⅘÷+Ω =√ ‰ ¾⅞⅜⅘−÷− ⅞‰≈Ħ ₋ ⅘+ ⅔⅜⅔¾⅔± =‰⅔⅝⅔ = ⅘⅜≈∫¬⅘⅘J ĒŐŤŲÙŬẀV ŐŠÜ Ĩ +⅔ =⅔ − ⅜⅘ ⅘ ⅞≥∞ ⅔ ⅔√ ≤⅔=≠∞ ⅖− ∞≥−% =⅔⅗⅞Ħ ⅕≠− ⅖−⅗⅔≠⅔√ ¾=⅘ ⅘++⅔√ =− +−⅚⅘=≠¾− ⅞+≠⅘÷⅘=+ℓ> ⅞⅗÷−¾ℓ> ×⅘÷=−+⅔⅚⅘% ⅞ ⅝⅔>¾⅔≠ℓ¾⅔∫¬⅘% ⅞=≠−÷⅞⅘%H ⅞ ≤≠−⅖ℓ +⅘ ÷⅔=‰÷ℓĤ ¾⅔≠∞ +−⅗−⅘H −⅗≈ ⅞≥∞ =‰⅔⅝⅔≠∞H ≤≠− ⅗÷√⅜≈≠ <⅘+− ⅘+⅔ ∞Ĥ +ℓ⅘ ¾⅘¬⅞ĦĦĦ +− −⅖ ∂≠− ¾ = ⅘⅜≈∫¬⅞% ÷⅔⅝ĦĒ −⅗ ⅔=⅞≠⅘=∞H ⅝¾≈≤⅞≠ ⅞+≠÷⅞⅗≈∫¬⅘Ħ ≠− ⅚⅘ × ⅔+⅞÷≈∫≠ +⅔≥⅞ >−÷Ĥ ¾⅔≠=‰⅞⅘ ⅜÷≈⅝∞√Ĺ +⅔⅘≠⅘H ¾ ×÷⅘⅜×−= ⅘⅜+⅘ ≈÷−¾+⅘ ŐŤŲÙŬẀV ŐŠÜ ĨJ ŁŃN ĜĒ −= ⅘⅜+⅞% ≤⅘ −¾⅘‰ +⅔ ⅘ ⅘ĒĞ ⅖ℓ ⅔ ‰⅔≠Ĥ=±⅘+⅔H ×⅔⅜⅘Ĥ +⅞⅘ ÑŌĦ ∂ <⅔⅘÷ Ĝ−+⅔ ⅚⅘ ₌− ⅖⅔ ¾ ÷≈==‰−% −‰⅔ ⅞⅝⅔±⅞⅞Ğ =−−⅖Ĥ ¬⅔⅘≠H ≤≠− ⅗÷≈××⅔ Ē ⅔÷ ⅞ĒH ‰−≠−÷⅔√ ⅜− ⅚+⅔ ⅖ℓ ⅔ −≠×÷⅔¾⅞≠∞=√ ¾ ×÷−Ĥ≥ −⅘H ≈+⅞≤≠−⅚⅘+⅔Ħ ∫⅖−×ℓ≠+− ≠−H ≤≠− ⅘≠÷⅞‰=⅔ ⅗−¾−÷⅞≠ ⅜÷≈⅗−⅘J ⅗÷≈××⅔ Ē ⅔÷ ⅞Ē ×÷−×⅔ ⅔ ⅖⅘⅝ ¾⅘=≠⅞Ħ ⅔‰ ¾⅔ ≠⅔‰−% ¾⅔Ĥ ÷⅞⅔+≠H ≤≠− ⅗÷≈××⅔ Ē ⅔÷ ⅞Ē ¾=ΩĤ⅚⅘ ⅜−⅖÷⅔ ⅔=∞ ⅜− ∫≤⅔ ‰ ₍⅘≤+−Ĥ =≠⅞H +− ⅞⅝Ĥ⅝⅔ ≠−⅗−H ≤≠− ⅞> ⅖ℓ − ÏĤĪ ≤⅘ −¾⅘‰H −+⅞ −‰⅔⅝⅔ ⅞=∞ ¾ ⅜÷≈⅗− ¾÷⅘ ⅘Ĥ+⅞I ⅘=≠+−=≠⅞H ⅞ ℓ ¾=≠÷⅘≠⅞ =√ = +⅞ ⅞Ĺ −+⅘≤Ĥ +−H ∂≠− ⅔ −¾⅘Ĥ÷−√≠+−H +− ‰≠− ⅝+⅔⅘≠ĦĦĦ ≠⅘×⅘÷∞ =⅔ −⅘ ⅞+≠⅘÷⅘=+−⅘Ħ −H ≤⅘⅗− +−⅗⅞⅘ ≠⅔‰ >−≠⅘ ⅞Ħ −H ≤≠− ⅜⅔=≠ ⅞⅗÷⅘ ⅗ −≠−‰ =¾⅘⅚⅘⅗− ¾−⅝⅜≈>⅔Ħ

ŐŤŲÙŬẀV ŐŠÜ Î ÑMJ ŁŃÓĦ

₋ +⅔≤⅔ −=∞ ¾=Ω = ∂≠−⅗− =‰÷⅞+≥−≠⅔J

⅔ +Ω ⅞⅝−⅖÷⅔⅚⅘+ √¾+− ×−=≠⅔÷⅘¾≥⅞%H ⅖−÷−⅜⅔≠ℓ% ∂ H ⅔Ĥ ÷⅞⅚=‰⅔√ ⅕%<⅘ ⅘¾⅔ ⅖⅔≥+√H ⅗−÷−⅜=‰⅞⅘ ÷≈⅞+ℓ ⅞ ¾−⅘++ℓ⅘ ‰÷⅘%Ĥ =⅘÷⅔ ⅘+≠⅔ ⅔ ¾ +⅘⅖⅘Ħ ≠−Ĥ⅖ℓ ∂≠− ⅝+⅔≤⅞ −Ĺ −×÷−⅖≈⅘ ÷⅔⅝−Ĥ ⅖÷⅔≠∞=√Ħ =≠∞ ¾=⅘⅗− ≠÷⅞ ¾⅔÷⅞⅔+≠⅔J ÍĞ ₋÷≠ −≠−⅖÷⅔⅚⅔⅘≠ ⅜⅘%=≠¾⅞√H ‰−≠−÷ℓ⅘ ×÷−⅞=>−⅜√≠ ¾ MÒĿ ⅜ √ ŐŤŲÙŬẀV ŐŠÜ ĨJ ŁŃNĦ ⅜+⅔‰−H ×−= ⅘ ⅔+−+=⅔ Ē ⅘ ≤≈⅚⅞+ℓ ⅞ ⅔ĒH ∂≠−≠ ¾⅔÷⅞⅔+≠ −⅚+− ⅖ℓ − ⅖ℓ −≠⅖÷−=⅞≠∞Ħ = ⅞ ⅚⅘ ≠− ∞‰− ĿŲŬĤ WŤŠÜ +⅘ × ⅔+⅞÷≈∫≠ ⅘¬⅘ −⅜+− ⅜−×− +⅘+⅞⅘H ¾ ≤⅘ √ ⅞≤+− =− Ĥ +⅘¾⅔∫=∞Ħ ÎĞ −= ⅘⅜+⅞% ⅖−%Ħ ÷⅘⅜=≠⅔¾∞≠⅘ ≠⅔‰−% ¾⅔÷⅞⅔+≠J ∂ ≈+⅞≤≠−Ĥ ⅚⅞ −=+−¾+ℓ⅘ =⅞ ℓ ⅘+≠⅔ ⅔H ≠⅘ =⅔ ℓ =⅜⅘ ⅔¾ ⅘⅗− +⅔ +−⅗− = ⅔⅖⅘⅘Ħ − ≤≠−Ĥ≠− ×− ⅘≥⅔ − ⅘ ≈ ¾ℓ×− +⅞≠∞ ⅗ ⅔¾+−⅘ ⅝⅔⅜⅔+⅞⅘H ⅔ ⅞ ⅘++− Ĥ ≈+⅞≤≠−⅚⅞≠∞ ⅘+≠⅔ ⅔ ¾ ×÷−≥ − H ≤≠−⅖ℓ −+ +⅘ = −⅗ ⅔≠⅔‰−¾⅔≠∞ ∫⅜⅘% ¾ ⅖≈⅜≈¬⅘ Ħ ₍−⅝ −⅚+−H ⅗⅘÷−∫ ×÷⅘⅚⅜⅘¾÷⅘Ĥ ⅘++− ×÷⅞≥ −=∞ −≠×÷⅔¾⅞≠∞=√ −⅖÷⅔≠+−H ¾ =¾−Ω ¾÷⅘ √Ħ ≠−⅗⅜⅔ ¾=⅘H ¾ −⅖¬⅘ Ĥ≠−H ×−+√≠+−J +⅔×⅔⅜⅘+⅞⅘ ×÷−⅞⅝−≥ −H +− ⅘+≠⅔ ≈⅚⅘ ¾ ÷⅔⅝ℓ = ⅔⅖⅘⅘H ⅞ ≈ ≤⅘ −¾⅘≤⅘=≠¾⅔ ⅘=≠∞ ≥⅔+= −≠÷⅔⅝⅞≠∞ ⅔≠⅔‰≈ ⅞ ×−⅖⅘⅜⅞≠∞ ¾ ¾−%+⅘Ħ − ⅘ ⅖⅞≠¾ℓ Ĥ ⅘ √H −⅜+⅔ ⅞⅝ −‰⅔±⅞% Ĥ ⅔÷⅞⅚Ħ ĨĞ ⅔ ℓ% ⅞+≠⅘÷⅘=+ℓ% ⅞ ¾− +≈∫¬⅞% ¾⅔÷⅞⅔+≠J ĿŲŬWŤŠÜ ×÷−=≠− ≠⅔‰ +⅔÷⅞=−¾⅔ ⅞ ⅔÷≠H ≤≠−⅖ℓ ℓH <⅔+⅔≠ℓĤ ⅘≤≠⅔≠⅘ ⅞H ×− − ⅔ ⅞

⅔⅝≈ ⅘⅘≠=√H ∂≠− −⅚+− ⅖ℓ − ⅖ℓ =≤⅞≠⅔≠∞ ≠÷− ⅞+⅗− >−÷¾⅔≠−¾H −⅜+⅔‰− ×÷−⅘‰≠ ×− ≈≤⅞ ×−⅜≠¾⅘÷⅚⅜⅘+⅞⅘ Ĥ − ⅔+ ⅞⅖⅔÷⅞≤H ⅗⅘+⅘Ĥ ÷⅔ ∞+ℓ% ⅜⅞÷⅘‰≠−÷ =−−⅖¬⅞ +⅔ H ≤≠− ¾=Ω ∂≠− ×÷⅔¾⅜⅔ ⅞ ⅞⅗÷⅔ ≈⅚⅘ =−⅝⅜⅔Ω≠=√ Ē+⅔ ⅖≈ ⅔⅗⅘ĒH ≠Ħ⅘Ħ × ⅔+⅞÷≈⅘≠=√ =∫⅚⅘≠ ⅞ ×÷−≤⅘⅘Ħ ₋ ∂≠− ⅜⅔Ω≠ +⅔ ×÷−=≠− +⅘−×⅞=≈⅘ ℓ⅘ +⅔⅜⅘⅚⅜ℓ +⅔ +−¾ℓ% ≥⅘Ĥ ⅜⅘¾÷ ¾− ¾=⅘ ⅘++−% ŐŤŲÙŬẀV ŐŠÜH ‰−≠−÷ℓ% ⅞ ⅘⅘≠ ¾=⅘ ≥⅔+=ℓ +⅔ ⅗− −¾≈ −⅖−%≠⅞ ØUŤ ŐŤȘŬŪT NŪȘŬẀŪWŤŲĦ −⅗⅜⅔Ĥ≠− ⅞ −⅖℮√=+√∫≠=√ = −¾⅔ ₋ ⅘+⅔ +⅔=≤Ω≠ Ē⅖−⅗⅔≠−% ¾=⅘ ⅘++−% = +−⅚⅘=≠¾− ⅞⅗÷−¾ℓ> ×⅘÷=−Ĥ+⅔⅚⅘%ĒĦ ₍×÷−≤⅘ H − ŐŤŲÙŬẀV ŐŠÜ Î ÑMJ ŁŃÓ ℓ ×−⅗−¾−Ĥ ÷⅞ ¾ ⅜÷≈Ĥ⅗−% ÷⅔⅝Ħ ⅔‰ ‰⅔‰⅞⅘Ĥ⅚⅘ =∫÷×÷⅞⅝ℓ ⅗−≠−¾√≠=√ ×÷⅘×−⅜+⅘=≠⅞ +⅔ ≠−¾⅔÷⅞¬⅞ ⅞⅝ ĿŲŬWŤŠÜĹ ⅘ ⅘%‰ ŐŤŲÙŬẀV ŐŠÜ ÎH ×−⅜÷−⅖+− ÷⅔=‰÷ℓ¾⅔∫¬⅞% ¾=⅘ ⅜⅘≠⅔ ⅞H ⅔ ⅝⅔≠⅘ <⅞+⅔ ∞+⅔√ ≤⅔=≠∞ =⅘÷⅞⅞H ⅜⅘%=≠¾⅞√ ‰−≠−÷−% ⅖≈⅜≈≠ ×÷−⅞=>−⅜⅞≠∞ +⅔ ⅘ ⅘Ĺ ₍÷⅘ √ ×−‰⅔⅚⅘≠ĦĦĦ

ŐĻŐÑĻĤPŎÞ

KKK

pboflrp p^j O ₌−⅚⅘H −‰H ≠ℓH +⅔¾⅘÷+−⅘H ≠≈≠ ¾=⅘> ⅘÷≠¾⅘±−¾ ×⅘÷⅘⅖≈⅜⅞ ₎−¾−÷√ − ¾⅘ ⅞‰−% =⅘÷⅞⅞ ŐŤŲÙŬẀV ŐŠÜH +−⅗⅞⅘ ×−≤⅘ ≈Ĥ≠− −⅖>−Ĥ ⅜√≠ =≠−÷−+−% ¾≠−÷≈∫ ≤⅔=≠∞ ∂≠−% +⅘×−¾≠−÷⅞ −% ⅞⅗÷−¾−% =⅔⅗⅞Ħ ⅔¾⅘÷+−⅘H ¾÷√⅜ ⅞ =÷⅘⅜⅞ <⅔+⅔≠−¾ +⅔%⅜Ω≠=√ ≤⅘ −¾⅘‰H +⅘ ⅞⅗Ĥ ÷⅔¾≥⅞% ¾ ŐŐÎĦ =−⅚⅔ ⅘+⅞∫H ≈ +−⅗⅞> = −⅚⅞ −=∞ −≠÷⅞±⅔≠⅘ ∞Ĥ +−⅘ +⅘+⅞⅘ −⅖ ∂≠−% ⅞⅗÷⅘Ħ =≠−√¾≥⅞%=√ =≠⅘÷⅘−≠⅞× ⅜⅘≠=‰−% ×−=≠÷⅘ ≈≥‰⅞ +⅔ ⅘÷≠¾− ×−=⅘ ⅞ =√ ¾ ⅗− −¾⅔> ∫⅜⅘%Ħ ⅚⅘ =≠⅔Ĥ − ×÷⅞¾ℓ≤+ℓ =≤⅞≠⅔≠∞ ¾≠−÷≈∫ ≤⅔=≠∞ ⅗ ⅔¾+ℓ ×÷−¾⅔ − =⅘Ĥ ÷⅞⅞ Ĝ⅞H √ ⅜≈ ⅔∫H +⅘⅝⅔= ≈⅚⅘++−ĞĦ ⅔¬⅘ ¾=⅘⅗− ¾ ×÷−⅖ ⅘ ⅘ +⅘Ĥ ‰⅔+−+⅞≤+−=≠⅞ ¾≠−÷−% ≤⅔=≠⅞ ¾⅞+√≠ ⅞⅝⅜⅔≠⅘ √ ÎO ŇŠÜŤVH ‰−≠−Ĥ ÷ℓ%H √‰−⅖ℓH ⅝⅔=≠⅔¾⅞ =+⅞⅝⅞≠∞ ÷⅘%≠⅞+⅗ ⅞⅗÷ℓ ⅜ √ ×−⅜+√≠⅞√ ×÷−⅜⅔⅚Ħ ₎−¾−÷√≠ ⅜⅔⅚⅘H ≤≠− ÷⅔+∞≥⅘ ⅞⅗÷⅔ ⅖ℓ ⅔ +⅔ +−⅗− =⅘÷∞Ĥ Ω⅝+⅘%Ħ ⅜+⅔‰−H =≈¬⅘=≠¾≈⅘≠ ¾⅘÷−√≠+−=≠∞H ≤≠− ∂ −=≠⅔¾⅔ =√ ≠⅔Ĥ ‰⅞ ⅚⅘H ‰⅔‰⅞ −+ ⅞ ⅖ℓ ÷⅔+⅘⅘H ×÷−=≠− +⅘ ¾=⅘ = −⅗ ⅞ ×÷−≤≈¾Ĥ =≠¾−¾⅔≠∞ ⅞⅝∫ ⅞+‰≈ ⅜⅔++−% ⅞⅗÷ℓĦĦĦ

≤⅘≠‰− ×−+⅞ ⅔∫≠Ħ =×⅘>≈ ∂≠−% ≤⅔=≠⅞ ≠⅔‰⅚⅘ ×−=×−=−⅖=≠¾−¾⅔ − −≠Ĥ =≈≠=≠¾⅞⅘ +⅔ ≠−≠ − ⅘+≠ ‰⅔‰⅞>Ĥ ⅞⅖− ‰−+‰≈÷⅘+≠−¾Ħ ⅘×⅘÷∞ ×⅘÷⅘+⅘=Ω =√ +⅔ +⅘=‰− ∞‰− ⅘≠ ¾×⅘÷Ω⅜H ‰ ŐŤŲÙŬẀV ŐŠÜ ÎĦ ⅔ ⅜¾−÷⅘ =≠−√ ÎÌÌĪĦ − +−=≠∞∫ ⅗−≠−¾ℓ%H +⅔×⅞=⅔++ℓ% = +≈ √ ⅜¾⅞⅚−‰H ×−⅜⅜⅘÷⅚⅞¾⅔∫¬⅞% ¾=⅘ +−¾− −⅜+ℓ⅘ <⅞≥‰⅞ ¾÷−⅜⅘ <⅞Ĥ ⅝⅞‰⅞ ⅞ ‰÷⅔=⅞¾−% ¾−⅜ℓĦ ⅗÷− +ℓ% ⅞⅗÷−¾−% ⅞÷H +⅔×− +⅘++ℓ% =⅔ ℓ ⅞ ÷⅔⅝+−−⅖÷⅔⅝+ℓ ⅞ ⅞ ⅖⅘⅝≈ +ℓ ⅞ ×⅘÷=−+⅔⅚⅔ ⅞H ≠÷⅔+=Ĥ ×−÷≠+ℓ⅘ =÷⅘⅜=≠¾⅔ ⅞ ≠Ħ⅜Ħ −¾− ¾=ΩH ≤⅘ ĿŲŬWŤŠÜ +⅔⅜⅘√ ⅔=∞ ⅝⅔Ĥ ¾−⅘¾⅔≠∞ =⅘÷⅜±⅔ ⅞⅗÷−‰−¾Ħ − =⅞≠≈⅔±⅞√ +⅔ ⅞⅗÷−¾− ÷ℓ+‰⅘ ⅖ℓ ⅔ +⅘ =⅔ ⅔√ ⅖ ⅔⅗−×÷⅞√≠+⅔√H −+ ≈⅚⅘ ×−¾⅞⅜⅔ +⅘ ⅔ − ⅝⅔ ⅘≤⅔≠⅘ ∞Ĥ +ℓ> ÷⅘⅔ ⅞=≠⅞≤+ℓ> ŃÖŐH +⅔×−⅜−⅖⅞⅘ MŬŬÜ ĨH ÑŠŨȚĤÒÙȚŤ ÎH ŃŠŲ ĿŲXĦ ≠− ≈ ⅚⅘ ≈ ∂ ⅔ ×−√¾⅞ =√ ×÷√ −% =−×⅘÷+⅞‰ ¾⅘ ⅞‰⅞% ⅞ ≈⅚⅔=Ĥ +ℓ% ÖŠÙŪÛÙŨŨŤŲH ¾ℓ≥⅘⅜≥⅞% +⅔ ⅗−⅜ ÷⅔+∞≥⅘Ħ + −≠⅖⅞ ≤⅔=≠∞ ⅔≈⅜⅞Ĥ ≠−÷⅞⅞ ≈ ŐŤŲÙŬẀV ŐŠÜH >−≠√ ⅞ ⅖ℓ ×− +−% ⅘⅗− ×÷−≠⅞¾−×− −⅚+−Ĥ =≠∞∫J ÷⅔≤+ℓ⅘ ‰⅔≠⅔‰− ⅖ℓH ‰ ⅔⅜⅖⅞¬⅔H ⅝⅔ ‰⅞H +⅞‰⅔‰⅞> √÷‰⅞> ±¾⅘≠−¾H ⅚≈≠‰−¾⅔≠ℓ⅘ −+=≠÷ℓĦ − =÷⅔¾+⅘+⅞∫ = +⅞ H ¾≠−÷⅔√ ≤⅔=≠∞ ŐŐ = −≠÷⅘ ⅔=∞ ⅜⅘%=≠¾⅞≠⅘ ∞+− ⅜⅘≠=‰−% ⅞ +⅘=⅘÷∞Ω⅝+−%Ħ ÷−¬⅘ ⅗−¾−÷√H >−÷¾⅔≠ℓ −×−⅝⅜⅔ ⅞ĦĦĦ

≠⅔‰H ⅜⅔¾⅔%≠⅘ ÷⅔⅝⅖⅘÷⅘ =√Ħ

√ ≠−⅗−H ≤≠−⅖ℓ ×−+√≠∞H ×−≤⅘ ≈ ŐŐÎ ×÷⅞+√ ⅞ ≠⅔‰ >− −⅜+−H ¾⅘÷+⅘ =√ ¾ ×÷−≥ −⅘H +⅔ ÍÍ ⅘≠ +⅔⅝⅔⅜Ħ ⅔ ⅜¾−÷⅘ ÎÌÌÍĤ% ⅗−⅜ ⅞ ⅖⅔ − ×÷⅔¾√≠ ÷⅘⅔ ⅞=≠⅞≤+ℓ⅘ ≥≈≠⅘÷ℓH ¾⅘÷≥⅞+−% ‰−≠−÷ℓ> ⅖ℓ ⅞ ×÷⅞⅝+⅔+ℓ ÑŠŨȚĤÒÙȚŤ ⅞ ĿŬẀŪWŤŲĤŐWŲÙÛŤĦ ₍=⅘ −=≠⅔ ∞+ℓ⅘ ÷⅔⅝÷⅔⅖−≠≤⅞‰⅞ = ⅘×− ≥ ⅞ ×− ×÷−≠−÷⅘++− ≈ ⅞ ⅞ ×≈≠⅞H ¾=Ω ⅜⅔ ∞≥⅘ ≈⅗ ≈⅖ √√=∞ ¾ ÷⅘⅔ ⅞⅝ J ×− ‰⅞ ⅔⅗⅔⅝⅞+−¾ ≠⅔‰ ⅞ ⅖ℓ ⅞ ⅝⅔=ℓ×⅔+ℓ ÷⅔⅝+−−⅖÷⅔⅝+ℓ ⅞ ¾−⅘++ℓ ⅞ =⅞ ≈ √≠−Ĥ ÷⅔ ⅞ = −⅗÷− +ℓ ‰− ⅞≤⅘=≠¾− ×−≤⅘ ≈Ĥ≠− −⅜+ℓ> ≠−⅗⅜⅔ √¬⅞Ĥ ‰−¾ Ĝ ⅘+⅔¾⅞⅚≈ √¬⅞‰⅞Ë ĞĦ ⅜+⅞ = −¾− H ⅚⅔+÷ ŃÖŐ ¾×⅔ ¾ +⅘−⅖ℓ≤+≈∫ ⅞ ≈+ℓ ≈∫ =×√≤‰≈Ħ ⅜+⅔‰−H =×⅔=⅘+⅞⅘ ×÷⅞≥ − ¾+⅘Ĥ ⅝⅔×+−Ħ ⅔‰ ⅗÷− =÷⅘⅜⅞ √=+−⅗− +⅘⅖⅔H +⅔ ⅗− −¾≈ ⅞+≠⅘÷+⅘≠⅔ =¾⅔ ⅞ ⅔=∞ ⅜⅘ −Ĥ¾⅘÷=⅞√ ⅞⅗÷ℓ ŐŤŲÙŬẀV ŐŠÜ −≠ ‰≈≤‰⅞ +⅞‰− ≈ +⅘ ⅞⅝¾⅘=≠Ĥ +ℓ> >−÷¾⅔≠=‰⅞> ÷⅔⅝÷⅔⅖−≠≤⅞‰−¾H ‰−≠−÷⅔√ ⅖≈‰¾⅔ ∞+− ×⅘÷⅘¾⅘÷Ĥ +≈ ⅔ ×÷⅘⅜=≠⅔¾ ⅘+⅞⅘ ¾=⅘> − ≠− H ‰⅔‰⅞ ⅜− ⅚⅘+ ⅖ℓ≠∞ ≈¾ ⅘‰⅔Ĥ ≠⅘ ∞+ℓ% ≥≈≠⅘÷Ħ ⅔‰ ⅗−¾−÷⅞≠=√H ¾=Ω ⅗⅘+⅞⅔ ∞+−⅘ ×÷−=≠−H ⅞ ⅜⅘ Ĥ ‰⅔ ×÷⅞≥ ⅔=∞ ¾=⅘ ×− ⅜≈≥⅘H ×−≠− ≈ ≤≠− ⅖ℓ ⅔ ×−=≠÷−⅘+⅔ +⅔ =≠⅔÷ℓ> ⅜⅘⅜−¾=‰⅞> ×÷⅞+±⅞×⅔> ≈⅖⅘% ⅞> ¾=⅘>H ×− ≈≤⅞ ⅜−⅝≈ ⅔⅜÷⅘+⅔ ⅞+⅔Ħ ŐŤŲÙŬẀV ŐŠÜ ×−Ĥ+⅔=≠−√¬⅘ ≈ ⅚⅜⅔ ⅞H ⅞ ¾−≠H ⅘÷Ĥ ¾−⅘ ÷⅞≥⅘=≠¾⅞⅘ +⅔‰−+⅘± ¾ℓ≥ − ¾ =¾⅘≠ ⅞ ×− ≈≤⅞ − ×−≤⅘≠Ĥ +ℓ% =≠⅔≠≈= ⅞⅗÷⅔ ⅗−⅜⅔ Ħ ⅛ +⅘ ⅖≈⅜≈ ≈⅗ ≈⅖ √≠∞=√ ¾ ⅞=≠−÷⅞∫ ×−Ĥ √¾ ⅘+⅞√ ØUŤ ŐŤȘŬŪT NŪȘŬẀŪWŤŲH ≠Ħ‰Ħ =≠⅔≠∞√ =−¾=⅘ +⅘ −⅖ ∂≠− Ħ ≠−⅞≠ ⅞≥∞ ≈×− √+≈≠∞H ≤≠− ⅔⅜⅜−+ ⅖ℓ ¾ℓ×≈¬⅘+ +⅔ = ⅘⅜≈∫Ĥ ¬⅞% ⅗−⅜ ⅞ ¾=≠÷⅘≤⅘+ −≤⅘+∞ ≠⅘× −H ≠Ħ‰Ħ ×−≤≠⅞ +⅞≤⅘ +⅘ −≠ ⅞≤⅔ Ĥ =√ −≠ ×⅘÷¾−% ≤⅔=≠⅞J ⅜≈> ⅞⅗÷ℓ −=≠⅔ =√ ×÷⅘⅚+⅞ H ×÷⅞ ∂≠− ⅞⅗Ĥ ÷−¾−% ⅞÷ ⅖ℓ =⅞ ∞+− ÷⅔=≥⅞÷⅘+Ħ ≈ ⅔∫H ¾ ∂≠− ⅞ ⅝⅔‰ ∫Ĥ ≤⅔⅘≠=√ ≈=×⅘> ×⅘÷¾−% ≤⅔=≠⅞ Ĝ−≠ ⅘≤≈H ≤≠− ⅞ ×⅘÷¾−⅘H ⅞ ¾≠−÷−⅘ ×÷⅞≥⅘=≠¾⅞⅘H √ ≈= −¾+− =≤⅞≠⅔∫ ⅝⅔ ŐŤŲÙŬẀV ŐŠÜ ÍĞ ⅞ +−⅗⅞⅘ ∂≠−

⅘ ¾ ≠−

⅘=≠⅘H ⅞ +⅘ ¾ ≠− ¾÷⅘ √Ħ

⅔ −% ¾⅝⅗ √⅜H ∂≠− √¾ √⅘≠=√ −⅜+−% ⅞⅝ ¾⅔⅚+⅘%≥⅞> ×÷⅞≤⅞+ ×÷−Ĥ ¾⅔ ⅔ ŐŤŲÙŬẀV ŐŠÜ ÎĦ ⅗÷−¾⅔√ ⅔≈⅜⅞≠−÷⅞√H ⅞⅝⅖⅔ −¾⅔++⅔√ =⅘÷∞Ω⅝Ĥ +ℓ ⅞ ≥≈≠⅘÷⅔ ⅞H ×÷−=≠− −≠‰⅔⅝⅔ ⅔=∞ ×÷⅞+⅞ ⅔≠∞ ŐŐÎ ≠⅔‰⅞ H ‰⅔Ĥ ‰⅞ −+ ⅖ℓ ⅝⅔⅜≈ ⅔+ ÷⅔⅝÷⅔⅖−≠≤⅞‰⅔ ⅞ = =⅔ −⅗− +⅔≤⅔ ⅔Ħ ⅔ =⅔ − ⅜⅘ ⅘H ĿŲŬWŤŠÜ ¾ℓ×− +⅞ ⅞ =¾−∫ ÷⅔⅖−≠≈ +⅔ ¾=⅘ ÍÌÌĘJ ‰÷⅔=⅞¾⅔√ ⅗÷⅔<⅞‰⅔H = ∫⅖−¾∞∫ =⅜⅘ ⅔++ℓ⅘ ⅞ ⅔+⅞ ⅞÷−¾⅔++ℓ⅘ −+=≠÷ℓH =⅔ ℓ% ≈≤≥⅞% ⅝⅔ ¾=∫ =⅘÷⅞∫ =⅔≈+⅜≠÷⅘‰ Ĝ+⅘ =×−÷∞≠⅘ËĞH ×−≠÷√=⅔∫¬⅘% ‰÷⅔=−≠ℓ −‰⅔±⅞⅞H ≠⅔‰ +⅘×−>−⅚⅞⅘ ⅜÷≈⅗ +⅔ ⅜÷≈⅗⅔ Ĝ×⅔÷√¬⅞⅘ ¾ ¾−⅝⅜≈>⅘ ⅝⅔ ‰⅞H −⅗÷− +ℓ% ⅘⅗⅔×− ⅞= ⅖≈⅜≈¬⅘⅗−H ⅞÷ ⅗⅞⅗⅔+≠−¾ĞĦ ≠− ¾⅔ ⅘¬Ω +≈⅚+− ≠−H ⅔Ĺ − ×ℓ −+=≠÷−¾ ⅗−¾−÷⅞≠⅘Ĺ −+=≠÷ℓ ¾=Ω ≠⅔‰ ⅚⅘ +⅔⅖⅘⅗⅔∫≠ ≠− ×⅔ ⅞H ⅔ ⅞> ⅝⅜⅘=∞ +⅘ ×÷−=≠− +−⅗−H ⅔ ¼ +−⅗− Ĝ≤⅘⅗− ≠− ∞‰− =≠−⅞≠ ×−= ⅘⅜+⅞% ≈÷−¾⅘+∞ĞĦ ₎ ≈×ℓ% ⅜⅞⅝⅔%+ −÷≈⅚⅞√Ĺ ⅔⅖⅔¾+−H +− ⅞ ¾ ×⅘÷¾−% ≤⅔=≠⅞ −+ ≠⅔‰−% ⅚⅘ ⅗ ≈×−¾⅔≠ℓ%H ⅞⅖− ≠⅔‰−¾⅔ ⅝⅔⅜≈ ‰⅔ ÷⅔⅝÷⅔⅖−≠≤⅞‰−¾ −÷≈⅚⅞⅘ = ⅘≥+−⅘H +− = ⅘÷≠−+−=+−⅘Ħ ŐŤŲÙŬẀV ŐŠÜ Î =≠−⅞ − ×÷⅞+√≠∞ ≠⅔Ĥ ‰−%H ‰⅔‰⅔√ −+⅔ ⅘=≠∞H =− ¾=⅘ ⅞ ⅘Ω =≠÷⅔++−=≠√ ⅞ ⅞ +⅘=⅘÷∞Ω⅝+ℓ ⅜⅞⅝⅔%+− H ₍ ⅝⅔‰ ∫≤⅘+⅞⅘ >−≤≈ ×÷⅞¾⅘=≠⅞ = −¾⅔ ⅗ ⅔¾+−⅗− −⅜⅘ ⅘÷⅔ ĿŲŬWŤĤ ŠÜ ₋⅜ ⅞÷⅔J −≠÷√ +⅔ ⅞⅗÷≈ ¾ ⅜⅘%=≠¾⅞⅞H =≠⅔+−¾⅞≠=√ −≤⅘¾⅞⅜+− +⅔ ⅞≤⅞⅘ ¾=⅘> ×÷⅞⅝+⅔‰−¾ ŐŐ =⅘÷⅞⅞ = ⅖− ∞≥⅞ ⅞ −≠‰÷ℓ≠ℓ ⅞ ×⅘%⅝⅔⅚⅔ ⅞H √÷‰− −‰÷⅔≥⅘++ℓ ⅞ ¾÷⅔⅗⅔ ⅞ ⅞ ¾Ω⅜÷⅔ ⅞ ⅖⅘⅝≈ +−% =≠÷⅘ ∞⅖ℓ ⅔H ∂ ¾=Ω ⅘¬Ω =≠− ∞ ⅚⅘ ⅞>−÷⅔⅜−≤⅘+H ‰⅔‰ ¾=⅘⅗⅜⅔Ħ ÒŤW V ŦŤW ŐŤŲÙŬẀVË

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pçãÉ âáåÇ çÑ ãçåëíÉê W NIM ₋¾≠−÷ ÷⅘±⅘+⅝⅞⅞J ŐWŲŚŇUŬVW ⅚⅘ ⅜−¾− ∞+− ⅜⅔¾+− ¾ℓ≥ − MÒĿ ‰ ŐŤŲÙŬẀV ŐŠÜ ÑMJ ØUŤ ŐŤĤ ȘŬŪT NŪȘŬẀŪWŤŲH +⅔⅝ℓ¾⅔⅘ −⅘ ĒÒŤŦŤŪT ŬȚ ØUŤ ŁŤŠVWĒĦ ₍ ∂≠− ⅜−Ĥ ×− +⅘+⅞⅞ ¾⅔ ×÷⅞⅜Ω≠=√ ¾⅘÷+≈≠∞=√ ¾ ⅗⅞×⅘≠ ⅞ +⅔ ×÷−≠√⅚⅘+⅞⅞ Ĩ ≈÷−¾+⅘% =≠÷⅘ √≠∞H ≈⅖⅞¾⅔≠∞ ⅞ ÷¾⅔≠∞ ¾ ‰ −≤∞√ −+=≠÷−¾Ħ ₍÷−⅜⅘H ¾=Ω ‰⅔‰ −⅖ℓ≤+−H ⅜⅔Ĺ ₍ −=+−¾+− H −≠⅝ℓ¾ℓ ×− ∂≠− ≈ MÒĿ ⅖ℓ ⅞ +⅘⅗⅔≠⅞¾+ℓ ⅞H ⅞ ≤⅔¬⅘ ¾=⅘⅗− +⅘ √=+− ⅞⅝Ĥ⅝⅔ ≤⅘⅗−Ħ ₍÷−⅜⅘ ⅞ ¾ℓ⅗ √⅜⅞≠ >−÷−≥−H ‰÷⅔Ĥ =⅞¾−H ⅜⅔ ⅞H +⅔ ×⅘÷¾ℓ% ¾⅝⅗ √⅜H ⅜⅔⅚⅘ ¾ =≠⅞ ⅘ −÷⅞⅗⅞+⅔ ⅔Ħ − ¾+⅘≥+−=≠∞ −⅖ ⅔+≤⅞¾⅔H ⅞ ÒÕØŁ ⅜⅘%=≠¾⅞≠⅘ ∞+−¾ℓ≥ − = ⅔⅖−¾⅔Ĥ ≠ℓ Ħ ⅔¾⅔%≠⅘ ÷⅔⅝⅖⅘÷Ω =√ ×−Ĥ⅔×−÷√⅜‰≈Ħ ₋÷>⅞≠⅘‰≠≈÷⅔ ≈÷−¾+⅘%J ⅝⅜⅘=∞ = ∂≠⅞ ×−≤≠⅞ ×−÷√⅜−‰Ħ ⅘ ×−Ĥ +÷⅔¾⅞ −=∞ ≠−H −⅜+⅔‰−H ≤≠− ≤≠−Ĥ≠− ⅜⅘≠⅔ ⅞⅝⅞÷−¾⅔+− ⅜− ⅘ ∞≤⅔%Ĥ ≥⅞> ⅜⅘≠⅔ ⅘%H ⅔ ≤≠−Ĥ≠− =−=≠−⅞≠ ⅞⅝ −⅖ℓ≤+−⅗− ‰≈⅖⅔Ħ ⅘×−÷√⅜−‰Ħ ⅜⅘ ⅔ ⅞ ⅖ℓ ≠−⅗⅜⅔ ¾=Ω ⅞⅝ ‰≈⅖−¾H ⅝⅔≤⅘ − ⅔≠∞ ⅗− −¾≈ĦĦĦ ⅔‰⅚⅘ −⅚+− ⅝⅔ ⅘≠⅞≠∞H ≤≠− ¾ +⅘‰−≠−÷ℓ> ⅘=≠⅔> ≠⅘‰=≠≈÷ℓ ×−⅜⅗ ∫≤⅞Ĥ ¾⅔∫≠ ⅞I⅞ ⅞ ⅘⅚⅔≠ +⅘÷−¾+−Ħ ⅘ −≤∞H ⅔ +⅘×÷⅞√≠+−Ħ ₍ −=≠⅔ ∞+− ¾=Ω ¾ ×−÷√⅜‰⅘H −<−÷ ⅘+⅞⅘ = −≠÷⅞≠=√ ⅜−¾− ∞+− >−÷−≥−Ħ ≈⅝ℓ‰⅔J ¾ −=+−¾+− H ≠≈≠ ¾=Ω =≠⅔÷−⅘H ≠− ∞‰− ¾ ‰−+±⅘ ⅞⅗÷⅔⅘≠ −⅜⅞+ +−¾ℓ% ≠÷⅘‰Ħ ⅘ +⅘ ⅘+⅘⅘H =≠⅔÷⅔√ ×−⅜⅖−÷‰⅔ −≤⅘+∞ ⅜⅔⅚⅘ ×−⅜>−⅜⅞≠ ‰ +−¾ℓ ≈÷−¾+√ H ×−∂≠− ≈ −=−⅖ℓ> +⅔÷⅘‰⅔+⅞% ×− ∂≠− ≈ ×−¾−⅜≈ +⅘≠Ħ ₎⅘% × ⅘%J ⅔ ¾−≠ ℓ ⅞ ×−⅜−≥ ⅞ ⅞ ‰ =⅔ − ≈ ⅖− ∞+− ≈ ⅘Ĥ =≠≈ ∂≠−⅗− MÒĿĦ ₍−−⅖¬⅘H ⅗⅘% × ⅘% Ĥ ¾⅔⅚+⅔√ ≤⅔=≠∞ ∫⅖−% ⅞⅗÷ℓĴ ⅜⅔⅚⅘ = × −>−% ⅗÷⅔<⅞‰−%H +− −≠ ⅞≤+ℓ H ⅝⅔≠√⅗⅞¾⅔∫¬⅞ ⅗⅘% Ĥ × ⅘⅘ ⅞⅗÷⅔ −⅚⅘≠ =≠⅔≠∞ ⅘⅗⅘+⅜−%Ħ − ≈¾ℓH ⅜⅔++−⅘ MÒĿ Ĥ +⅘ ∂≠−≠ = ≈≤⅔%Ħ ₍⅘=∞ ×⅘÷¾ℓ% ≈÷−¾⅘+∞ +⅔ ×÷⅞⅜Ω≠=√ × ⅘=≠⅞=∞ = −⅜Ĥ +⅞ ‰− ∞≠− Ĝ×−⅝⅚⅘H ×÷⅔¾⅜⅔H ⅜⅔⅜≈≠ ⅞ ¾≠−÷−%Ğ ⅞ −≠=≠÷⅘ ⅞¾⅔≠∞ ⅔÷⅔>+−⅞⅜−¾Ħ ₍ℓ ≈⅚⅘ =⅘⅖⅘ ×÷⅘⅜=≠⅔¾⅞ ⅞ ∂≠− ⅝÷⅘ ⅞¬⅘Ĺ ₋ ≈≤⅞≠ℓĤ ¾⅔√H ≤≠− −+⅞ =≠÷⅘ √∫≠ ≠−≤+−H ×÷√ −% +⅔¾−⅜‰−%H ×÷⅞>−⅜⅞≠=√ ×−=≠−√++− ×÷√≠⅔≠∞=√ ⅝⅔ ⅜− ⅔ ⅞Ħ ₍ ⅞≠−⅗⅘H ×÷⅞>−⅜⅞≠=√ ¾ =≠⅞ ⅘ ĿŬMG−¾ ⅞ ×÷−≤⅞> ÷⅘⅔ =≠⅞≤+ℓ> ≥≈≠⅘÷−¾ ×−≠⅞>−+⅘≤‰≈H ×− −⅜+−Ĥ ≈ ⅔÷⅔>+−⅞⅜≈ ⅝⅔≤⅞¬⅔≠∞ ⅘=≠+−=≠∞Ħ ⅘ ⅝+⅔∫ ‰⅔‰ ¾⅔ H ⅔ +⅘ ∂≠−

≠÷⅔++−⅘ ⅞ ⅖⅘⅜+−¾⅔≠−⅘ MÒĿH ‰−≠−Ĥ ÷−⅘ = +⅔≠√⅚‰−% −⅚+− +⅔⅝¾⅔≠∞ −<⅞±⅞⅔ ∞+ℓ Ħ ⅜⅞+=≠¾⅘++⅔√ ⅜−Ĥ ⅖⅔¾‰⅔ Ĥ +≈ ⅞⅝ ŐŤŲÙŬẀV ŐŠÜ ĨJ ŁŃN ¾ ‰⅔≤⅘=≠¾⅘ <⅞+⅔ ∞+−⅗− ⅖−==⅔Ħ −⅝Ĥ ⅜⅔⅘≠=√ −¬≈¬⅘+⅞⅘H ≤≠− ⅘⅗− =−⅝⅜⅔Ĥ ¾⅔ ⅞ +⅘ =⅔ ⅞ ĿŲŬWŤŠÜH ⅔ ‰≠−Ĥ≠− =−Ĥ ¾⅘÷≥⅘++− ⅘¾ℓ%ĦĦĦ

⅝⅔+√≠⅞⅘ +⅘ ×− ⅜≈≥⅘ ⅞ ¾−−⅖¬⅘ +⅔⅗−+√⅘≠ =≠÷⅔≥+≈∫ =‰≈‰≈Ħ ⅔ ¾≠−÷− ≈÷−¾+⅘ =≠⅔ − ×−¾⅘=⅘ ⅘⅘H +− ¾=Ω ÷⅔¾+− =‰≈≤+−Ħ ₍⅘=∞ ≈÷−¾⅘+∞ Ĝ×÷−>−⅜⅞ √ ⅘⅗− ⅗⅜⅘Ĥ≠− ÏĪ ⅞+≈≠ Ĥ Í ≤⅔=Ğ ×÷⅞>−Ĥ ⅜⅞≠=√ ⅖⅔+⅔ ∞+− −≠=≠÷⅘ ⅞¾⅔≠∞ ‰⅔‰⅞>Ĥ+⅞⅖≈⅜∞ ⅘ ‰⅞> −+=≠÷−¾ ⅞⅝ ⅜÷−⅖−¾⅞‰⅔H ×÷⅞ ∂≠− −≠≤⅔√++− ×ℓ≠⅔√=∞ +⅘ ⅝⅔⅖ ≈⅜⅞≠∞=√ ⅞ +⅔%≠⅞ ¾⅘÷+ℓ% ×≈≠∞Ħ − ⅜−÷−⅗⅘ +⅘ ×−×⅔⅜⅔⅘≠=√ +⅞‰⅔‰⅞> ¾⅘=Ω ℓ> =∫÷×÷⅞⅝−¾ ⅞ ⅞ >⅞≠÷ℓ> −¾≈≥⅘‰H ⅝⅔≠− >¾⅔≠⅔⅘≠ ≠⅘=+ℓ> ‰−÷⅞⅜−Ĥ ÷−¾Ħ ⅔¾⅘÷+−⅘H ∂≠− ⅜− ⅚+− ⅖ℓ − ⅖ℓ≠∞ ¾⅘=⅘ −ĦĦĦ −≠⅘ −=∞ ⅖ℓ ≠⅔‰⅚⅘ −≠ ⅘≠⅞≠∞ +−¾≈∫ ×÷⅞¾ℓ≤‰≈ ÷⅔⅝÷⅔⅖−≠≤⅞‰−¾ Ĥ ×÷⅞ ×−⅜⅖−÷⅘ ⅖⅘+⅝−×⅞ ℓ =×⅔¾+⅞≠∞ ±⅘ ℓ⅘ ⅗+⅔⅔÷−¾Ħ −⅚⅘≠ ⅖ℓ≠∞ ∂≠− ⅜−Ĥ ⅖⅔¾ √⅘≠ ¾ ⅞⅗÷≈ <⅔+⅔ ⅞ ⅜÷⅔%¾⅔H +− =−¾=⅘ +⅘ +−⅗−Ħ ‰−+±≈ ≈÷−¾+√ ≈ ⅘+√ ⅖ℓ ⅞ ⅖⅘+⅝−×⅞ ⅔H ⅜¾≈=≠¾− ‰⅔ = ⅜÷−⅖−¾⅞‰− ⅞ ≠− ×=−+Ħ ⅔‰ ⅜≈ ⅔⅘≠⅘H −⅚⅘≠ >−≠∞ ⅜⅔ ∞≥⅘ ⅖≈⅜⅘≠ ¾⅘=⅘ −Ĺ ⅘≠Ħ ₍ −⅖¬⅘ Ĥ≠−H ‰ ≠÷⅘≠∞⅘ ≈ ≈÷−¾+∫ ×−√¾⅞ −=∞ >−≠∞ ‰⅔‰−⅘Ĥ ≠− ⅔ −Ĥ ⅔ ∞=‰−⅘ ÷⅔⅝+−−⅖÷⅔⅝⅞⅘H −⅜+⅔‰−H ∂≠− ¾=Ω ÷⅔¾+− +⅘ ≠−≠ ∂ Ħ − ‰÷⅔%+⅘% ⅘÷⅘H ×−≠− ≈H ≤≠− ¾ ∂≠− MÒĿ ₍ +⅘≠ ⅞Ĥ +⅞⅗⅔+⅔Ë ₍ℓ ‰−⅗⅜⅔Ĥ+⅞⅖≈⅜∞ ¾⅞⅜⅘ ⅞H ≤≠−⅖ℓ ∂ ⅖ℓ ⅖⅘⅝ ⅞+⅞⅗⅔Ĥ +⅔Ĺ ⅛ Ĥ +⅘≠Ħ ⅞+⅔ ∞+ℓ% ⅖−== −=−⅖ℓ> ×÷−⅖ ⅘ +⅘ ⅜−=≠⅔¾ √⅘≠H ⅜⅔ ⅞ ¾−Ĥ −⅖¬⅘H <⅞+⅔ ∞+⅔√ =>¾⅔≠‰⅔ +⅘ −≤⅘+∞ ⅞ ⅞+≠⅘÷⅘=+⅔H ¾=√ ⅖⅞≠¾⅔ ×− ≠⅘>+⅞‰⅘ =⅞ ∞+− = ⅔>⅞¾⅔⅘≠ +⅔ =÷⅔⅚⅘+⅞⅘ = ⅗>Ĥ ⅔+− ŅŅŅĦ ₍−≠ ⅞ ¾=ΩĦ −≤≈ ⅘¬⅘ −≠ ⅘≠⅞≠∞ ≠−≠ <⅔‰≠H ≤≠− ¾ ∂≠− ⅜−×− +⅘+⅞⅞ −+=≠÷ℓ +≈ −≤⅘+∞ ≈⅚ ∫⅖√≠ ≈⅖⅘⅗⅔≠∞ −≠ ⅞⅗÷−‰⅔H ⅞⅗+−÷⅞÷−¾⅔≠∞ ⅘⅗− ⅞ =≠÷⅘ √≠∞ ¾ =≠⅘+ℓĦ +−⅗⅜⅔ −+⅞ ⅜⅘%=≠¾⅞≠⅘ ∞+− ¾‰ ∫≤⅔∫≠ =¾−⅞ −⅝⅗⅞ ⅞ ¾ +⅘‰−≠−÷ℓ> ⅘=≠⅔> ×ℓ≠⅔∫≠=√ −‰÷≈⅚⅞≠∞ ⅞⅗÷−‰⅔H +− ¾−≠ ≠− ∞‰− ⅖ℓ − ∂≠− ¾=⅘⅗− ⅞≥∞ ×⅔÷≈Ĥ≠÷−%‰≈ ÷⅔⅝Ħ ≠−⅗J = ⅔⅖−⅘H −≤⅘+∞ = ⅔⅖−⅘ MÒĿ ‰ ŐŤŲÙŬẀV ŐŠÜ ÑMH ‰−≠−÷−⅘ ⅜⅔⅚⅘ +⅘⅜−=≠⅔≠−≤+− ¾⅜−>+−¾⅞ − ⅘+√ +⅔ ∂≠≈ ÷⅘±⅘+⅝⅞∫Ħ ₍− ¾=⅘% ∂≠−% ⅞=≠−÷⅞⅞ ⅘+√ −≤⅘+∞ ⅞+≠⅘÷⅘=≈⅘≠ ⅞≥∞ −⅜+− Ĥ ‰≠− ¾=Ω ∂≠− =⅜⅘ ⅔ Ĺ −⅚⅘≠H ∂≠− ¾−−⅖¬⅘ +⅘ ĿŲŬWŤŠÜH ⅔ −÷‰ ⅔÷‰⅘÷ ⅖ℓ=≠÷⅘+∞‰− =‰ ⅘×⅔ ÒÕØŁ ⅝⅔÷⅔⅜⅞ ⅜⅘+⅘⅗Ĺ ₍⅘⅜∞H ≤≠− ⅝⅔⅖⅔¾+−H ⅜⅔⅚⅘ +⅔ ⅝⅔‰ ∫≤⅞≠⅘ ∞+ℓ⅘ ≠⅞≠÷ℓ ÷⅔⅝÷⅔⅖−≠≤⅞‰⅞ ×−=‰≈×⅞ ⅞=∞ JĞ

pq W W W W

GGGGG

RLNM

GGGGGGG

TLNM

GGGGGG

SLNM

GGGGGGGG

ULNM

SLNM ≠÷Ħ ÎÍ

₍÷⅘⅝‰⅔ Î ‰÷⅞+≥−≠ℓ ÒŤŦŤŪT ŬȚ WUŤ ŁŤŠVW

W W pboflrp p^j PW _cb

`o^wv pboflrp p^j PW _cb jla NIQ

W kbljfkfd^k W NIQ

₋¾≠−÷ ÷⅘±⅘+⅝⅞⅞J ĿUŤŞŬẄŠŲ ⅘ ≠⅔‰ ⅜⅔¾+− ¾ℓ≥⅘ ŐŤŲÙŬẀV ŐŠÜ ĨJ ŁŃN ⅞ −‰−+≤⅔≠⅘ ∞+⅔√ ¾⅘÷=⅞√ ŐŤŲÙŬẀV NTÙĤ WŬŲ ĨĦ ⅕<<⅘‰≠ +⅘ ⅝⅔=≠⅔¾⅞ =⅘⅖√ ⅚⅜⅔≠∞ Ĥ ≈⅚⅘ =⅘%≤⅔= +⅔ +Ω ¾−× −¬⅔∫≠=√ ¾ ⅚⅞⅝+∞ =⅔ ℓ⅘ ⅖⅘⅝≈ +ℓ⅘ ⅞⅜⅘⅞ <⅔+Ħ=−−⅖Ĥ ¬⅘=≠¾⅔Ħ ⅜+⅔ ⅞⅝ ≠⅔‰⅞> ⅞⅜⅘% ĿŎĻRQ ŐŤĤ ŲÙŬẀV ŐŠÜ ĨJ ŁŃN ÓŬTĦ ₍−≠ − +Ω% ℓ =⅘%Ĥ ≤⅔= ⅞ ×−⅗−¾−÷⅞ Ħ ⅔≤⅔√ ⅘ΩH √ −⅚⅞⅜⅔ ≤⅘⅗−Ĥ≠− ¾ ⅜≈>⅘ IJĪĘ ×÷⅞¾ℓ≤+ℓ> −⅜⅞<⅞‰⅔±⅞% ‰ ŐŤȘŬŪT NŪȘŬẀŪWŤŲJ × −>⅔√ −×≠⅞ ⅞⅝⅔±⅞√H ‰⅔≠ =±⅘+ℓ ⅖⅘⅝ ⅝¾≈‰⅔H +⅘×÷−⅜≈ ⅔++ℓ% ⅖⅔Ĥ ⅔+= ⅞ ≠Ħ⅜Ħ −H ‰ =≤⅔=≠∞∫H −⅞ −⅚⅞⅜⅔+⅞√ +⅘ ×−⅜≠¾⅘÷⅜⅞ ⅞=∞Ħ ≈≠∞ −⅜⅔ =−=≠−⅞≠ ¾ ⅞⅝ ⅘+⅘+⅞⅞ =¾−%=≠¾ −÷⅞⅗⅞+⅔ ∞+ℓ> ⅞⅗÷−¾ℓ> ∂ ⅘ ⅘+Ĥ ≠−¾H ‰⅔‰H +⅔×÷⅞ ⅘÷H −÷≈⅚⅞⅘Ħ ×÷⅞ ⅘÷≈J ×≈≥‰⅔ =≠÷⅘ √⅘≠ √⅜÷⅔ ⅞ ⅞⅝ − +⅞%H ×⅞Ĥ =≠− ⅘≠ =≠÷−≤⅞≠ −≤⅘÷⅘⅜√ ⅞H ⅔ ÷⅔‰⅘≠+⅞±⅔ ×≈=‰⅔⅘≠ <⅔⅘÷⅖− ℓH ‰⅔‰ ×∞√+ℓ% ∫ ⅔+ ĜÓŬŲWŠŨ OŬÜŞŠWĞĦ − ⅞ − ∂≠−⅗−H ¾ ×−Ĥ = ⅘⅜+⅘% ¾⅘÷=⅞⅞ −⅜⅔ ⅖ℓ ⅞ ⅜−⅖⅔¾ ⅘+ℓ Ï ‰⅔÷≠ℓ = ÷⅘⅜ℓ=≠−÷⅞⅘% ∂ ⅔ ⅞ ¾⅞Ĥ ⅜−⅞⅝ ⅘+⅘+ℓ −+=≠÷ℓĦ ÷≈⅚⅞⅘ ×⅘÷⅘⅜⅘ ⅔+− +⅘× −>−Ħ ⅜+⅔Ĥ ‰−H −=+−¾+⅔√ ×÷−⅖ ⅘ ⅔ ⅝⅔‰ ∫≤⅔⅘≠=√ ¾ ≠− H ≤≠− ×⅘÷⅘⅜⅘ ⅔+−Ĥ≠− +⅘ ¾=ΩĦ ₍=×− Ĥ +⅞ ŐŤŲÙŬẀV ŒÙŬŨŤŪȘŤ ⅞ ⅞ ŅŪŐ⅔ÜŪÙWXÎH ⅗⅜⅘ ‰⅔⅚⅜−⅘ −÷≈⅚⅞⅘ ⅖ℓ − ×⅘÷⅘⅜⅘ ⅔+− ¾ ≈≤≥≈∫ =≠−÷−+≈J =×⅔÷⅘++ℓ% ×≈ ⅘ Ω≠H ⅗÷⅔+⅔≠− Ω≠H =≠÷⅘ √∫¬⅞% −≤⅘÷⅘⅜√ ⅞H ⅖⅘+⅝−×⅞ ⅔H ⅘≠⅔∫¬⅔√ ⅘⅝¾⅞√Ħ ⅜⅘=∞ ⅚⅘ +⅘‰−≠−÷−⅘ ¾−−÷≈⅚⅘+⅞⅘ ×⅘÷⅘⅜⅘ ⅔+− ¾

⅘−⅖ℓ≤+⅔√ −⅜⅞<⅞‰⅔±⅞√ ⅜ √ ŐŤĤ ŲÙŬẀV ŐŠÜ ĨJ ŁŃNH ×÷⅞≤⅘ −⅜+⅔ ⅞⅝ ×⅘÷¾ℓ> ⅜ √ ∂≠−% ≤⅔=≠⅞ =⅘÷⅞⅞H ×−Ĥ ≥⅘⅜≥⅔√ ×− =≠−×⅔ ×−×≈ √÷+ℓ> ŐŤŲÙŬẀV ŒÙŬŨŤŪȘŤ ⅞ ŅŪŐŠÜŪÙWX H −⅜+⅔‰−H = =−⅖=≠¾⅘++ℓ ⅞ −÷⅞⅗⅞Ĥ +⅔ ∞+ℓ ⅞ <⅞≥‰⅔ ⅞ ⅞ −≠⅜⅘ ∞+−% =∫⅚⅘≠+−% ‰⅔ ×⅔+⅞⅘%Ħ

>≈⅜≥≈∫ =≠−÷−+≈H ‰⅔‰H +⅔×÷⅞ ⅘÷H ⅜÷−Ĥ ⅖−¾⅞‰ ⅞ ⅜¾≈=≠¾− ‰⅔H ¾ℓ=≠÷⅘ ℓ ‰−≠−÷ℓ> =≠⅔ ⅞ −¬≈≠⅞ ℓ ≠− ∞‰− ×− ⅞⅝⅜⅔¾⅔⅘ − ≈ ⅝¾≈‰≈Ħ −≠√H ‰−+⅘≤+−H ∂≠− ⅜⅘ − ¾‰≈=⅔Ħ =≠∞ ⅞ ⅞+≠⅘÷⅘=+ℓ⅘ ⅞⅝ ⅘+⅘+⅞√J ÷⅔‰⅘≠+⅞Ĥ ±⅔ = <⅔%⅘÷⅖− ⅔ ⅞ ⅞ ×≈≥‰⅔H =≠÷⅘ √∫¬⅔√ √⅜÷⅔ ⅞ ⅞⅝ − +⅞%Ħ ⅔÷≠ℓ =∫⅚⅘≠+−% ‰⅔ ×⅔+⅞⅞ =⅜⅘ ⅔+ℓ ¾ ⅜≈>⅘ ×⅘÷¾ℓ> ≤⅔=≠⅘% ∂ ⅔Ħ ₎⅘% × ⅘% ×−=≠÷−⅘+ ×− ×÷⅞¾ℓ≤+− ≈ ×÷⅞+±⅞×≈ ×−×⅔ ⅞ ¾ ‰−÷⅞⅜−÷H ⅝⅔⅖⅞ ⅞ ¾=⅘>H ×−≥ ⅞ ⅜⅔ ∞≥⅘Ħ ¾≈‰−¾−⅘ −<−÷ ⅘+⅞⅘ ⅝⅔= ≈Ĥ ⅚⅞¾⅔⅘≠ −≠⅜⅘ ∞+−⅗− ¾+⅞ ⅔+⅞√Ħ ≈⅝ℓ‰⅔ ≈÷−¾+⅘% +⅞≤≈≠∞ +⅘ >≈⅚⅘ −÷⅞⅗⅞+⅔ ∞+−⅗− =⅔≈+⅜≠÷⅘‰⅔ ŐŤŲÙŬẀV ŐŠÜĦ ÷⅔⅝ℓ ∂ ⅔ ¾ℓ⅜⅘÷+≈≠ℓ ×÷√ ⅞‰− ⅞⅝ MẀÛŤ ÔẀÛŤÜ ŃŬŲŤẂŤŲH +− −+⅞ ¾×− +⅘ =−−≠¾⅘≠=≠¾≈∫≠ =⅞≠≈⅔±⅞√ H ¾ ‰−≠−÷ℓ⅘ +⅔= ⅖÷−=⅔⅘≠Ħ ₍ ∂≠⅞> ‰⅔÷≠⅔> ⅘=≠∞ ≠−H ≤≠− ⅝⅔⅖ℓ ⅞ ¾‰ ∫Ĥ ≤⅞≠∞ ¾ ŐŤŲÙŬẀV ŐŠÜ Ĩ −≠÷ℓ¾ −≠ ÷⅘⅝+⅞ ⅜ √ ×÷⅘−⅜− ⅘+⅞√ ×÷⅘×√≠=≠¾⅞%Ħ ×≠⅞ ⅞Ĥ ⅝⅔±⅞√ ≠⅔‰⅚⅘ ×÷−⅜⅘ ⅔+⅔ +⅔ ≈÷−¾+⅘Ħ ŃÖŐH ⅜⅔⅚⅘ +⅘ = −≠÷√ +⅔ >−÷−≥⅞⅘ ×÷−=⅘⅜⅔Ĥ +⅞√H ¾ −=+−¾+− ⅜⅘÷⅚⅔ =√ ¾ ÷⅔⅝≈ +ℓ> ×÷⅘⅜⅘ ⅔>Ħ ⅘ +⅘ ⅘+⅘⅘H ⅘=≠∞ ⅞ −⅚‰⅔ ⅜Ω⅗≠√ ¾ ⅖−≤‰⅘ Ω⅜⅔Ħ ÷⅞ ×−+⅞⅚⅘+⅞⅞ ⅜− ĪĤĮ ŃÖŐ ≈⅚⅘ −⅚+− ⅖ℓ − ×÷−>−⅜⅞≠∞ =‰¾−⅝∞ =≠⅘Ĥ +ℓĦ ⅔‰⅚⅘H +⅔ +⅘‰−≠−÷ℓ> ‰⅔÷≠⅔> −⅚+− ⅖ℓ − +⅔⅖ ∫⅜⅔≠∞ −≠¾÷⅔≠+−⅘ −=¾⅘¬⅘+⅞⅘J ×÷⅞ ×−‰÷⅔=+⅘+⅞⅞ ∂‰÷⅔+⅔ ¾⅞⅜⅞ −=≠∞ =≠⅔Ĥ +−¾⅞ ⅔=∞ +≈ ⅘¾⅔√H ⅔ +⅔ √=+ℓ> ≈÷−¾+√> ‰÷⅔=+ℓ% =¾⅘≠ ÷⅘⅝⅔ ⅗ ⅔⅝⅔Ħ

−= ⅘⅜+⅞% ≈÷−¾⅘+∞ −‰⅔⅝⅔ =√ +⅘ ≠⅔Ĥ ‰⅞ ≈⅚ ⅞ ⅞+≠⅘÷⅘=+ℓ H ⅞ ⅖ℓ H =‰−÷⅘⅘H ⅖⅔ −¾=≠¾− ⅔¾≠−÷⅔H ≤⅘ −⅗⅞≤⅘=‰⅞ ⅝⅔¾⅘÷≥⅘+⅞⅘ ⅔××⅔‰⅔ ₌−==H ‰⅔‰ ∂≠− +⅞ =≠÷⅔++−H −‰⅔⅝⅔ =√ ⅘⅗≤⅘H ≤⅘ +−⅗⅞⅘ − ⅘+≠ℓ ≈÷−¾+⅘%H +− ⅘⅗− ÷⅔⅝⅖⅘÷Ω ×−⅝Ĥ ⅚⅘Ħ −+=≠÷ℓ ×÷⅘⅜=≠⅔¾ √∫≠ =−⅖−% ⅞⅝ ⅘Ĥ +⅘++ℓ> =≠⅔+⅜⅔÷≠+ℓ>Ħ −÷−≥⅘⅗− − +⅞> =‰⅔⅝⅔≠∞ −⅚+− +⅘ ≠⅔‰ ≈⅚ ⅞ +−⅗−H ≠⅔‰ ‰⅔‰ ×⅘÷⅘⅜⅘ ‰⅔ ×−≥ ⅔ +⅔ ×− ∞⅝≈ −≠+∫⅜∞ +⅘ ¾=⅘ H ⅔ +⅘‰−≠−÷ℓ⅘ ⅞⅝ =≈×−=≠⅔≠−¾ ⅞ ¾−¾=⅘ =≠⅔ ⅞ ×÷−=≠− ≈⅖−⅗⅞ ⅞Ħ ⅔×÷⅞Ĥ ⅘÷H ⅜−⅖⅔¾ ⅘++ℓ% ⅖− ∞≥−% ‰⅔ ⅞‰⅔⅜⅝⅘ Ĥ >−≠∞ ⅞ ∂<<⅘‰≠⅞¾⅘+ ¾ ⅖−∫H +− −÷Ω≠H = −¾+− ⅖⅔⅖⅔ ¾ ⅜≈≥⅘Ħ ⅘÷⅘≠⅘‰=≠≈÷⅞÷−Ĥ ¾⅔++ℓ% ‰ ⅞÷ +⅘ = −≠÷⅞≠=√ ¾−−⅖¬⅘Ħ ₌−==H +≈ H ≠−⅚⅘ +⅘ −≤⅘+∞ =−≤⅘≠⅔⅘≠=√ = +−¾ℓ ⅞ ≠⅘‰=≠≈÷⅔ ⅞H ⅖ ⅔⅗− +⅔>−⅜⅞≠=√ −+ ¾ ≠⅘ +−≠⅘Ħ −+⅘≤+− ⅚⅘H ⅘=≠∞ −+=≠Ĥ ÷ℓH ‰−≠−÷ℓ ≈ ≈≤≥⅘+⅞√ ×−≥ ⅞ +⅔ ×−Ĥ ∞⅝≈H ≠⅔‰⅞⅘ ‰⅔‰ ‰ −+⅞÷−¾⅔++ℓ⅘ =− ⅜⅔≠ℓ = ⅞> = ⅞⅝⅘ Ω≠⅔ ⅞ ⅞ ⅔÷⅔>+−⅞⅜ℓ = ÷⅔‰⅘Ĥ ≠− Ω≠⅔ ⅞Ħ ĠĠĠ ₍ ±⅘ − ⅚⅘H −⅜ +⅘ ×−+÷⅔¾⅞ =√ ⅝⅔ =≤Ω≠ ‰⅔÷≠ ⅞ +⅘‰−≠−÷−⅗− ¾−−÷≈⅚⅘+⅞√Ħ ⅗Ĥ ÷⅔ ⅜⅘%=≠¾⅞≠⅘ ∞+− =≠⅔+−¾⅞≠=√ ⅜⅞+⅔ ⅞≤Ĥ +⅘%H ‰⅔‰ ⅞ −≠ ⅘≠⅞ ⅔¾≠−÷ ¾ ⅔+−+=⅘ ×÷−Ĥ ⅘‰≠⅔Ħ ⅔‰ ≤≠−H ⅘= ⅞ −+ =≠⅔¾⅞ ×⅘÷⅘⅜ =−Ĥ ⅖−% ±⅘ ∞ ⅞ ⅘++− ¾ ≈¾⅘ ⅞≤⅘+⅞⅞ ⅜⅞+⅔ ⅞Ĥ ‰⅞H ≠− ⅝⅔⅜⅔≤≈ −⅚+− = ⅘ − =≤⅞≠⅔≠∞ ¾ℓĤ ×− +⅘++−%Ħ

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píáää ~ ÄÉííÉê ~Åíáçå íÜ~å ilq_ ₋¾≠−÷ ÷⅘±⅘+⅝⅞⅞J ŐWŲŚŇUŬVW

W NIM

⅕≠⅔ ‰⅔÷≠⅔ ¾ℓ≥ ⅔ ×⅔÷≈ +⅘⅜⅘ ∞ +⅔⅝⅔⅜H ≠⅔‰ ≤≠− ¾=⅘H +⅔¾⅘÷+−⅘H ≈⅚⅘ ≈=×⅘ ⅞ ¾ +⅘Ω +⅔⅞⅗÷⅔≠∞=√H +− >−≠⅘ −=∞ ⅖ℓ ×⅘÷⅘= −≠÷⅘≠∞ ⅜⅔+Ĥ +≈∫ ÷⅔⅖−≠≈ ÖŲŬÜŬVÍ ×−×−⅜÷−⅖+⅘⅘H ≠Ħ‰Ħ ‰− ⅘+≠⅔÷⅞⅘¾ ‰ ‰⅔÷≠⅘ ⅖ℓ − +⅘ = ⅞≥‰− +−⅗− ⅞ +−⅗⅞⅘ ⅞⅝ +⅞> ⅞ ⅘ ⅞ ¾⅞⅜ +⅔×−⅜−⅖⅞⅘J Ē ⅘+√ +⅘ ⅝⅔×≈=‰⅔⅘≠=√H ≤≠− ⅜⅘ ⅔≠∞ĹĒĦ =≠⅔≠⅞H ×− ∂≠− ≈ ×−¾−⅜≈ ⅔¾≠−÷ ≈⅚⅘ +⅔×⅞=⅔ H ≤≠− ×− ⅞ − ŐŤȘŬŪT NŪȘŬẀŪWŤŲG⅔H ×−≠÷⅘⅖≈⅘≠=√ ‰≈× ⅘++ℓ% ŃÙŲVW NŪȘŬẀŪWŤŲ ⅞ MÒĿ ÒŤŦŤŪT ŬȚ WUŤ ŁŤŠVWH ⅖⅘⅝ ‰−≠−Ĥ ÷ℓ> ‰⅔÷≠⅔H ≈¾ℓH ¾ℓ +⅘ ⅝⅔×≈=≠⅞≠=√Ħ ₋ ≠⅘×⅘÷∞ ⅜⅔¾⅔%≠⅘ ×⅘÷⅘%⅜Ω ‰ =⅔ − ≈ −⅖⅝−÷≈Ħ ⅘%=≠¾⅞⅘ ‰⅔÷≠ℓ ×÷−⅞=>−⅜⅞≠ ¾ ≈⅚⅘ +⅔⅖⅞¾≥⅘ −=‰− ⅞+≈ ⅗⅞×Ĥ ≠⅘ ⅞ +⅔≤⅞+⅔⅘≠=√ = +⅘⅖− ∞≥−⅗− ¾⅞⅜⅘−÷− ⅞‰⅔H ⅗⅜⅘ ℓ ¾⅞⅜⅞ H ‰⅔‰ ⅗ ⅔¾+ℓ% ⅗⅘÷−% ×−√¾ √⅘≠=√ +⅔ ‰⅔÷≠⅘Ħ ₎⅘% × ⅘% +⅔ ×⅘÷¾−% ×− −Ĥ ¾⅞+⅘ ‰⅔÷≠ℓ +⅘× −>H +⅘ ⅜⅔Ω≠ ⅝⅔=‰≈≤⅔≠∞ ⅞ ×÷⅞ ∂≠− +⅘ =⅞ ∞+− ≈⅚ ⅞ ⅖⅘=⅞≠Ħ ⅔ ∞≥⅘H +⅔ +≈⅚+− ⅖≈⅜⅘≠ +⅔⅚⅔≠∞ +⅔ ⅜¾⅔ ÷ℓ≤⅔⅗⅔Ħ =≠⅔≠⅞H ×− ×≈≠⅞ +⅘ ¾=≠÷⅘≠⅞ ⅔=∞ ‰− +⅔≠‰⅔ =− =≠÷⅔++ℓ −=¾⅘¬⅘+⅞⅘ Ħ ₍=Ω ⅖ℓ − = ⅞≥‰− √÷‰− ⅜ √ ≠⅔‰−⅗− ×− ⅘¬⅘+⅞√H ⅖ℓ − ⅖ℓ +⅘× −Ĥ >−H +⅔×÷⅞ ⅘÷H ⅝⅔≠⅘ +⅞≠∞ ⅘⅗− ⅞ ×−=≠⅔¾⅞≠∞ ×⅔÷≈ <⅔‰⅘ −¾Ħ ₍−−⅖¬⅘H +⅔ ‰⅔÷≠⅘ ⅜−¾− ∞+− ≤⅔=≠− ¾=≠÷⅘≤⅔∫≠=√ ‰⅔‰⅞⅘Ĥ≠− =≠÷⅔++ℓ⅘ −⅗÷⅘>⅞ = −=¾⅘¬⅘+⅞⅘ H ×÷⅞≤⅘ H ⅜⅔++⅔√ ×÷−⅖ ⅘ ⅔ ≈ ⅔¾Ĥ ≠−÷⅔ ×−√¾ √⅘≠=√ ≈⅚⅘ +⅘ ¾×⅘÷¾ℓ⅘Ħ ₍−≠H ¾ ×⅘÷¾− ⅜¾−÷⅘ ‰− −++ℓ √÷≤⅘ ≤⅘ =≠⅘+ℓH ⅞ ⅞ ×−= ⅘⅜≈∫¬⅞⅘ ×− ⅘¬⅘+⅞√ = ⅞≥‰− √÷‰⅞⅘Ħ ∂≠⅞ +⅔⅜− ≤≠−Ĥ≠− ⅜⅘ ⅔≠∞Ħ − ¾⅘÷+⅘ =√ ‰ −×⅞=⅔+⅞∫ ×÷−>−⅚⅜⅘Ĥ +⅞√Ħ −⅗⅜⅔ ℓ +⅔⅚ Ω +⅔ ¾=⅘ ÷ℓ≤⅔⅗⅞H +⅔ ⅖≈⅜⅘≠ +⅘−⅖>−⅜⅞ − ×÷−%≠⅞ ≤⅘÷⅘⅝ +⅘⅖− ∞≥−% >÷⅔ Ħ ⅔ ≠⅔‰⅚⅘ ⅞ ⅘∫≠=√ ‰−=√‰⅞ = √÷‰−=≠∞∫H ×−≠− ≈ ¾=Ω −÷≈⅚⅞⅘ ¾ ‰−÷⅞⅜−÷⅘ =≠⅔+−¾⅞≠=√ ≠Ω +ℓ Ĥ ×÷⅘≠Ω +ℓ Ħ ⅔ ∞≥⅘ ×⅘÷⅘⅜ +⅔ ⅞ ⅖≈⅜⅘≠ ×÷−=≠⅞÷⅔≠∞=√ −⅗÷− +ℓ% ×≈=≠−% ⅝⅔ Ħ ≈≠H +⅔¾⅘÷+−⅘H ⅔¾≠−÷ ⅝⅔⅖ℓ ÷⅔==≠⅔¾⅞≠∞ ‰− −++ℓ ⅞ ⅞ >−≠∞ ≤≠−Ĥ+⅞⅖≈⅜∞H −⅚⅞¾ √∫¬⅘⅘ ∂≠− ≈+ℓ −⅘ ⅝÷⅘ ⅞¬⅘Ħ ⅞≥‰− H = ⅞≥‰− =‰≈≤+−Ë ≈ +⅘ ∞⅝√ ⅜⅘ ⅔≠∞ ≠⅔‰⅞⅘ ×≈=≠ℓ⅘ ‰≈⅖ℓĦ ≈ ×−Ĥ =≠⅔¾∞ ×∞⅘⅜⅘=≠⅔ =− =≠⅔≠≈⅘%H +⅘=‰− ∞‰− ‰− −++H <⅔‰⅘ −¾H ⅖⅔=Ĥ =⅘%+H ≠⅔‰ ¾⅘⅜∞ ⅖≈⅜⅘≠ ‰≈⅜⅔ ⅞+≠⅘÷⅘=+⅘⅘ ⅞ ‰÷⅔=⅞¾⅘⅘Ë ⅔ ⅘⅘ ⅞⅗÷−‰≈ ×÷⅞⅜Ω≠=√ ×÷−%≠⅞ ≤⅘÷⅘⅝ +⅘⅖− ∞≥−⅘ ×−=⅘ ⅘+⅞⅘H ≤⅘÷⅘⅝ ‰−≠−÷−⅘ ⅖⅘⅝ ⅖−√H ÷⅔⅝≈ ⅘⅘≠=√H +⅘ ×÷−×≈=≠√≠Ħ =≠⅔≠⅞H ∂≠−H +⅔Ĥ ¾⅘÷+−⅘H =⅔ ℓ% >−÷−≥⅞% − ⅘+≠ ¾ ‰⅔÷≠⅘H ≠⅔‰ ‰⅔‰ +⅔‰−+⅘±Ĥ≠− ⅜⅔∫≠ − ×=−+H ⅔ +⅔ ⅞⅗÷−‰⅔ ⅖⅘⅗≈≠ ≠− ×ℓ ‰⅔ ⅞‰⅔⅜⅝⅘H ⅖⅘⅝⅗− −¾ℓ> ÷⅔‰⅘≠≤⅞‰−¾H ‰ ⅞÷−¾ ⅞ ×÷−≤⅞> ⅞+≠⅘÷⅘=+ℓ> ⅞≤+−=≠⅘%Ħ ÷⅞≤Ω ¾ −≠ ⅞≤⅞⅞ −≠ ÒŤŦŤŪT ŬȚ WUŤ ŁŤŠVWH ¾⅔ +⅘ ×÷⅞⅜Ω≠=√ ×−=≠−√++− ×÷√Ĥ ≠⅔≠∞=√ ⅝⅔ ⅜− ⅔ ⅞ −≠ ⅔÷⅔>+−⅞⅜−¾H ⅝⅜⅘=∞ ¾ℓ +⅔‰−+⅘±Ĥ≠− = −⅚⅘≠⅘ ÷⅔== ⅔⅖⅞≠∞=√H −≠=≠÷⅘ ⅞¾⅔√ ¾=⅘> −+=≠÷−¾H >−≠√ ¾ℓ≥⅘≈×− √+≈Ĥ ≠ℓ⅘ ×÷⅘⅜=≠⅔¾⅞≠⅘ ⅞ =¾√¬⅘++−% ÷⅔=ℓ ≤ ⅘+⅞=≠−+−⅗⅞> ≠⅔ ≠⅔‰⅚⅘ ⅖≈⅜≈≠ ×÷⅞=≈≠=≠¾−¾⅔≠∞Ħ

≠÷Ħ ÎĪ

−= ⅘ ×−=⅘ ⅘+⅞√ +⅔≥⅘ ≈ ¾⅝−÷≈ −≠‰÷−⅘≠=√ −⅗÷− +−⅘ ×− ⅘J ⅝⅜⅘=∞ ⅖≈⅜⅘≠ ×÷−>−⅜⅞≠∞ ×−= ⅘⅜+⅞% ⅖−% +⅔ ∂≠−% ‰⅔÷≠⅘Ħ +⅔≤⅔ ⅔ +⅔ ×÷⅘⅜=≠−⅞≠ −≠=≠÷⅘ √≠∞ ‰⅔ ⅞‰⅔⅜⅝⅘H =⅞+⅞> ⅖⅞− ⅘>⅔+−⅞⅜−¾H ⅔ ×−≠− ⅞ ¾−¾=⅘ ⅜¾≈> ⅗−÷+ℓ> ÷⅘×≠⅞ −⅞⅜−¾Ħ −⅗⅜⅔ √ ⅞⅗÷⅔ ¾ ×⅘÷¾ℓ% ÷⅔⅝H ≈ ⅘+√ ⅝⅔‰−+≤⅞ ⅞=∞ ×⅔≠÷−+ℓH ⅞ ×÷⅞≥ −=∞ −≠=≠÷⅘ ⅞¾⅔≠∞=√ = ‰− ∞≠−¾Ħ ⅘ = ⅞≥‰− ∂≠− ⅞ ¾⅘=⅘ −⅘ ⅝⅔+√≠⅞⅘ Ĥ −≤⅞≠∞ ≠⅔‰⅞ −⅖Ĥ ÷⅔⅝− ⅜¾≈> ÷⅘×≠⅞ −⅞⅜−¾H ⅔ ×−≠− ⅘¬Ω ⅞ ⅗+⅔⅔÷−¾ = ⅔÷⅔>+−⅞⅜− Ħ ₍−−⅖¬⅘H +⅘⅜−=≠⅔≠−‰ ×⅔≠÷−+−¾ +⅔ ∂≠−% −‰⅔±⅞⅞ Ĥ =⅔ ⅔√ ⅗ ⅔¾+⅔√ ×÷−⅖ ⅘ ⅔Ħ ⅘‰− ⅘+⅜⅔±⅞√ ¾=⅘ −=≠⅔ ∞+ℓ ⅔××⅘÷⅔ H ⅞ ⅔¾≠−÷≈ ∂≠−% ‰⅔÷≠ℓ ¾ ≠− ≤⅞= ⅘J =≠⅔¾∞≠⅘ +−⅗− ×⅔≠÷−+−¾ ¾ ‰⅔⅚⅜≈∫ ⅝−+≈ ⅖−√Ħ ⅔⅚⅘ ⅘= ⅞ ⅖≈⅜≈≠ ⅞≥+⅞⅘ Ĥ ×≈=‰⅔% −=≠⅔+≈≠=√H +⅔ ¾=√‰⅞% = ≈Ĥ ≤⅔%Ħ −⅗ ⅔=⅞≠⅘=∞H ¾⅘⅜∞ ¾=⅘⅗⅜⅔ ≈≤≥⅘H ⅘= ⅞ ⅖−⅘⅝⅔×⅔=⅔ ⅖≈⅜⅘≠ ¾ ⅞⅝Ĥ ⅖ℓ≠‰⅘H +⅘⅚⅘ ⅞ ⅘⅗− +⅘ ⅖≈⅜⅘≠ ¾−−⅖¬⅘Ħ ⅔ ∂≠− ‰⅔÷≠⅔ ⅞ ⅝⅔‰⅔+≤⅞¾⅔⅘≠=√H >−≠√ ⅜⅔ ∞≥⅘H ‰−+⅘≤+−H ⅖≈⅜⅘≠ ‰−⅘Ĥ‰⅔‰⅔√ ‰− +⅔≠‰⅔H +− − +⅘% +⅞≤⅘⅗− +⅘ >−≤⅘≠=√ ⅗−¾−÷⅞≠∞H ≠Ħ‰Ħ ⅜⅞Ĥ ⅝⅔%+ ≠⅔ +⅘ +⅘ ×−+÷⅔¾⅞ =√Ħ ⅔¾⅔%≠⅘ ×−⅜¾−⅜⅞≠∞ ‰−+‰÷⅘≠+ℓ⅘ ⅞≠−⅗⅞Ħ ⅔÷≠≈ ⅖ℓ − ×÷−>−⅜⅞≠∞ ⅞+≠⅘÷⅘=+−H ⅜⅔⅚⅘ −≤⅘+∞Ħ ₎⅘% × ⅘% =⅖⅔Ĥ ⅔+=⅞÷−¾⅔+H ⅝⅔ ⅞=‰ ∫≤⅘+⅞⅘ ×−= ⅘⅜+⅘⅗− ⅖−√H ⅗⅜⅘ ×÷⅞>−⅜⅞ −=∞ −≠⅖⅞¾⅔≠∞=√ ‰− ∞≠⅔ ⅞Ħ ⅔‰⅚⅘ ⅞ ⅘∫≠=√ =⅘‰÷⅘≠‰⅞H ≠⅔‰ ≤≠− ⅘= ⅞ ¾⅔ +÷⅔¾⅞≠=√ −= ⅔≠÷⅞¾⅔≠∞ ‰⅔⅚⅜ℓ% ≈⅗− −‰ ‰⅔÷≠ℓ ¾ ×−⅞=‰⅔> ≤⅘⅗−Ĥ+⅞Ĥ ⅖≈⅜∞ ⅞+≠⅘÷⅘=+−⅗−H ≠− ≠≈≠ ¾⅔ ⅖≈⅜⅘≠ +⅔ ≤≠− ×−= −≠÷⅘≠∞Ħ −≤+⅘⅘H ⅖≈⅜⅘≠ ≤≠− ¾⅝√≠∞Ħ ⅘⅖− ∞≥⅞⅘ ×÷−⅖ ⅘ ℓ −⅖=≠−√≠ = ⅜⅞⅝⅔%+− ⅞ ⅔÷>⅞≠⅘‰≠≈÷−%Ħ ₍−Ĥ×⅘÷¾ℓ>H −=¾⅘¬⅘+⅞⅘Ħ ⅛ ≈⅚⅘ ×⅞=⅔ H ¾ ‰⅔‰⅞> ⅘=≠⅔> −+− = −≠÷⅞≠Ĥ =√ +⅘‰÷⅔=⅞¾− ⅞ ×−≤⅘ ≈Ħ ₍−Ĥ¾≠−÷ℓ>H +⅘≠ +−¾ℓ> −⅖℮⅘‰≠−¾ ⅜⅞⅝⅔%+⅔Ħ ₍=Ω =‰−×⅞÷−¾⅔+− ⅞⅝ ÒŤŦŤŪT ŬȚ WUŤ ŁŤŠVW ⅞ ŃÙŲVW NŪȘŬẀŪWŤŲĦ ≈H ⅝⅔ ⅞=‰ ∫≤⅘+⅞⅘ ≠⅘÷÷⅘%+⅔H ‰−≠−÷ℓ% ¾ℓ≥⅘ ⅜−¾− ∞+−Ĥ≠⅔‰⅞ ⅗−⅜+ℓ H ⅞ ×⅔÷ℓ ×− ⅘¬⅘+⅞%H ‰−≠−÷ℓ⅘ ¾ℓ≥ ⅞ ⅞⅝ ÷√⅜⅔ ¾−+ × −>−Ħ ⅔‰ ⅞ ×−Ĥ = ⅘⅜+√√ ‰− +⅔≠⅔Ħ ⅔‰⅚⅘H ×−=≠−√++− −⅚+− ⅝⅔ ⅘≠⅞≠∞ ×÷⅞×−⅜+√Ĥ ≠ℓ⅘ +⅔⅜ ⅝⅘ Ω% −⅖℮⅘‰≠ℓH +⅘¾⅞⅜⅞ ℓ⅘ ×÷−⅝÷⅔≤+ℓ⅘ ×− ⅞⅗−+ℓ ⅞ +−⅗−⅘ ⅜÷≈⅗−⅘Ħ ≈ ⅝⅔≤⅘ ⅚⅘ ⅖ℓ − ≠⅔‰ ≠−÷−×⅞≠∞=√Ĺ − ⅝¾≈‰− ⅞ ≈⅝ℓ‰−% ¾=⅘ ¾ ×−÷√⅜‰⅘ Ĥ −+⅞ =≠⅔+⅜⅔÷≠+ℓ⅘H +− ‰ −‰÷≈⅚⅘+⅞∫ ¾ ±⅘ − ×−⅜>−⅜√≠Ħ ĠĠĠ ≠−⅗J −÷−≥⅔√ ‰⅔÷≠⅔H ‰−≠−÷⅔√ ¾ℓ≥ ⅔ ⅗−÷⅔⅝⅜− ≈≤≥⅘H ≤⅘ ¾⅘=∞ ÒŤĤ ŦŤŪT ŬȚ WUŤ ŁŤŠVWH ‰⅔‰ ≈×− √+≈ ⅞ ¾ ‰− ⅘+≠⅔÷⅞√>Ħ √ = ∂≠⅞ +⅘+⅞⅘ ×− +−=≠∞∫ =−⅗ ⅔=⅘+Ħ ÷⅔¾⅜⅔H ¾=Ω ⅚⅘ ÷⅔==≠÷⅔⅞¾⅔∫≠ ⅗ ∫Ĥ ‰⅞ = ⅔÷>⅞≠⅘‰≠≈÷−% ‰⅔÷≠ℓ ⅞ ≠⅘ H ≤≠− +⅘≠ +−¾ℓ> −⅖℮⅘‰≠−¾ −‰÷≈⅚⅘Ĥ +⅞√H ⅔ ≠⅔‰⅚⅘ ⅞ ⅘⅘≠=√ +⅘⅖− ∞≥−% ⅜⅞=⅖⅔ ⅔+= −+=≠÷−¾I×⅔≠÷−+−¾ ¾ ‰−+±⅘Ħ

pq ≤⅘÷⅘⅜+⅔√ =⅞+⅗ −¾⅔√ ‰⅔÷≠⅔ −≠ ÖŲŬĤ ÜŬVÍH = ⅜− ⅖− ⅞ ⅝+⅔‰− ℓ ⅘⅗⅞×⅘≠Ĥ =‰⅞ −‰÷≈⅚⅘+⅞⅘ H ×÷−⅖ ⅘ ⅔ ⅞ = −=¾⅘¬⅘+⅞⅘ H +− ⅝⅔≠− = ⅜−⅖÷−≠Ĥ +ℓ ⅞ ¾×− +⅘ ¾⅘=⅘ ℓ ⅗⅘% Ĥ × ⅘⅘ Ħ

W W

W

GGGGGGGG

ULNM

GGGGGGG

TLNM

W GGGGGGGGG

VLNM

GGGGGGGGG

VLNM

ULNM ≠÷Ħ ÎĬ

W W pboflrp p^jW qpb `ä~ëëáÅ W pqo|delpq

₋¾≠−÷ ÷⅘±⅘+⅝⅞⅞J ŃŲŤŤÛÔÙÛ

W NIM

₍÷⅘ √ ⅞⅜⅘≠H ¾=Ω ⅘+√⅘≠=√H ¾ ≠− ≤⅞= ⅘ ⅞ −=+−¾+ℓ⅘ ×÷⅞+±⅞Ĥ ×ℓ ⅔××⅘÷=≠¾⅔ ¾ Ē=∂ −¾=‰− Ē ‰− ∞∫+⅞≠⅞Ħ ×÷⅞>−⅜− ≠⅔‰ +⅔Ĥ ⅝ℓ¾⅔⅘ −% Ē¾≠−÷−% ¾− +ℓĒ ×−×≈ √÷+−=≠⅞ ŐŤŲÙŬẀV ŐŠÜĜÎÌÌIJ ⅞ ⅜⅔Ĥ ⅘⅘ĞH ¾=Ω ‰÷⅘⅔≠⅞¾+⅘⅘ ⅞ ×− ⅞⅗−+⅔ ∞+⅘⅘ =≠⅔+−¾√≠=√ ‰⅔÷≠ℓH ¾=Ω ⅖− ∞≥⅞ ⅞ <⅞≤⅔ ⅞ ⅞ ⅞⅝ ⅘+⅘+⅞√ ⅞ ≤⅘÷⅘⅝ ŐMO −⅖÷⅔=≠⅔∫≠ −⅜ℓH ¾=Ω ⅘+∞≥⅘ ¾ℓ×≈=‰⅔⅘≠=√ ÷⅔⅖−≠ ×−⅜ ‰ ⅔==⅞≤⅘=‰⅞⅘ Ē×÷⅞≥⅘=≠¾⅞√ĒĦ ₋ ⅚⅔ ∞H ¾⅘⅜∞ ≠⅔‰H ×−÷−%H >−≤⅘≠=√ ×−⅞⅗÷⅔≠∞ ¾− ≤≠−Ĥ≠− +−¾⅘+∞Ĥ ‰−⅘H +− =− =≠⅔÷ℓ ⅜−⅖÷ℓ ≈÷⅔⅗⅔++ℓ ⅗⅘% × ⅘⅘ H ×÷−=≠− ⅞⅜√ +⅔×÷− − ⅞ ¾ℓ‰⅔≥⅞¾⅔√ ⅝ −=≠+ℓ⅘ −÷⅜ℓ +⅘≤⅞=≠⅞ ⅘+≠⅔ ⅔Ħ ÷√Ĥ − ‰⅔‰ ¾ −÷⅞⅗⅞+⅔ ∞+− ∂ ⅘ĦĦĦ −¾=⅘ +⅘⅜⅔¾+− ¾ℓ≥ ⅔ ‰⅔÷≠⅔H ‰−≠−÷⅔√ ⅞≤+− +⅘H +⅔‰−+⅘±H ⅜⅔ ⅔ ⅗ −≠−‰ ⅜− ⅗−⅚⅜⅔++−% ‰÷−¾− √=−÷≈⅖‰⅞H ⅘= ⅞ ≠⅔‰ −⅚+− ¾ℓĤ ÷⅔⅝⅞≠∞=√Ħ ⅔÷≠⅔ Ē ⅘÷=⅞⅜=‰⅔√ ÷⅘⅝+√Ē −≠ ŐWŲŚŇUŬVWG⅔ Ĥ ∂≠− ≠¾−÷⅘+⅞⅘H ¾ℓ×− +⅘++−⅘ ¾ =⅔ − ≤≠− +⅞ +⅔ ⅘=≠∞ ‰ ⅔==⅞≤⅘=‰− =≠⅞ ⅘H ⅞ ⅞H ‰⅔‰ √ ⅞ ⅘+≈∫ ×−⅜−⅖+ℓ⅘ ÷⅔⅖−≠ℓH ĒȘŲŬWŤŠÜĤVWXŨŤĒĦ ₍ ≤⅘ ⅞ ⅘++− ⅝⅔‰ ∫Ĥ ≤⅔⅘≠=√ ⅜⅔++ℓ% ¾⅞⅜ ‰⅔÷≠Ĺ ₍=Ω ×÷−=≠−J ÍĞ ‰÷⅔=⅞¾ℓ% ⅜⅞⅝⅔%+H ≤⅔¬⅘ ¾=⅘⅗−H = >−÷−≥− ×÷−÷⅔⅖−≠⅔++−% ⅔÷Ĥ >⅞≠⅘‰≠≈÷−% ⅞ ×÷−=≠−%H +− −×÷√≠+−% ⅞ ⅝⅔×− ⅞+⅔∫¬⅘%=√ ⅜⅘≠⅔ ⅞⅝⅔Ĥ ±⅞⅘% ÎĞ ⅖⅘≥⅘+ℓ%H =≠÷⅘ ⅞≠⅘ ∞+ℓ% ⅗⅘% × ⅘% ¾⅞⅜⅔ Ē¾ℓ≥⅘ ¾ ≤⅞=≠−⅘ ×− ⅘ ⅞ ‰−=⅞ ⅘⅗⅞−+ℓ ¾÷⅔⅗−¾Ē ĨĞ +⅔ ⅞≤⅞⅘ ×÷−=≠⅘%≥⅞> ⅞⅗÷−¾ℓ> ⅝⅔⅜⅔≤⅘‰H ‰⅔‰Ĥ≠−H +⅔×÷⅞ ⅘÷H +⅔%≠⅞ ‰ ∫≤H −≠‰÷ℓ≠∞ ⅜¾⅘÷∞ ⅞ ≠Ħ×Ħ ÏĞ ‰⅔≤⅘=≠¾⅘++−⅘H ×÷⅞√≠+−⅘ +⅔ = ≈> ⅞ ×−⅜−⅗÷⅘¾⅔∫¬⅘⅘ ⅔≠ −=<⅘Ĥ ÷≈ ⅔≈⅜⅞−Ĥ=−×÷−¾−⅚⅜⅘+⅞⅘ ĪĞ ⅞H ‰⅔‰ ⅖ℓ ⅞÷−+⅞≤+− ∂≠− +⅘ ⅝¾≈≤⅔ − ⅜ √ ‰−⅗−Ĥ≠−H ⁄₋ ⅔‰ ×− ≈≤⅞ −=∞H ≤≠− Ē ⅘÷=⅞⅜=‰⅔√ ÷⅘⅝+√Ē ¾=⅘ ¾ℓ≥⅘×⅘÷⅘≤⅞=Ĥ ⅘++ℓ ‰⅔‰ ÷⅔⅝ ≠⅔‰⅞ ⅞ −⅖ ⅔⅜⅔⅘≠Ħ ≠⅔‰H ⅜⅘%=≠¾⅞⅘ ‰⅔÷≠ℓ ×÷−⅞=>−⅜⅞≠ ¾ ₍⅔¾⅞ −+⅘H ⅔ ⅘= ⅞ ⅖ℓ≠∞ ≠−≤Ĥ +⅘⅘H ¾ −⅜+− ⅞⅝ ⅘⅗− ×÷⅞⅗−÷−⅜−¾Ħ ₍ ⅗ ⅔⅝⅔ =÷⅔⅝≈ ⅚⅘ ⅖÷−=⅔⅘≠=√ −×÷√≠Ĥ +−=≠∞ ‰⅔÷≠⅞+‰⅞ ⅞ ‰÷⅔=⅞¾ℓ% ⅘¾⅘ ⅜⅞⅝⅔%+J ⅞+⅔÷⅘≠ℓH ‰≈×− ⅔H ⅔÷−≤Ĥ ‰⅞H ⅔ ⅘⅞ Ĥ ¾=⅘ ¾ℓ×− +⅘+− ⅜⅘%=≠¾⅞≠⅘ ∞+− ×÷−=≠−H ⅔‰‰≈÷⅔≠+−H +− =− ¾‰≈=− Ħ ₌ ⅔⅗−⅜⅔÷√ ∂≠− ≈H ‰=≠⅔≠⅞H ‰⅔÷≠⅔ +⅘ ≠−÷ −⅝⅞≠H ‰⅔‰ ‰⅔‰−%Ĥ+⅞Ĥ ⅖≈⅜∞ ÒŬVW ÒÙȚŤĦ −‰⅔±⅞⅞ ÷⅔⅝+−−⅖÷⅔⅝+ℓH ×−∂≠− ≈ ⅝⅔=‰≈≤⅔≠∞ ¾⅔ ≠⅔‰Ĥ ⅚⅘ +⅘ ⅜⅔⅜≈≠H >−≠√H =≠−⅞≠ −≠ ⅘≠⅞≠∞H ≤≠− ¾ +⅘‰−≠−÷ℓ> ⅘=≠⅔> −‰÷≈⅚⅘Ĥ +⅞∫ −¬≈≠⅞ − +⅘ >¾⅔≠⅔⅘≠ ‰÷⅔=−‰ ⅞ ‰⅔‰−⅗−Ĥ≠− Ē≠⅘× ⅔ĒĦ ₍−−⅖¬⅘H ⅝⅔Ĥ ⅘≠+−H ≤≠− ⅔¾≠−÷ ⅞ ⅘++− ÷⅔⅖−≠⅔ = −<−÷ ⅘+⅞⅘ ≈÷−¾+√H ⅔ +⅘ ×÷−=≠− ⅝⅔+⅞ ⅔ =√ ÷⅔==≠⅔+−¾‰−% ⅖÷⅔≥⅘%Ħ ₎⅘% × ⅘%H ‰⅔‰ √ ≈⅚⅘ ≈×− ⅞+⅔ ¾ℓ≥⅘H ‰ ⅔==⅞≤⅘=‰⅞% Ĥ ⅖⅘⅗⅞H =≠÷⅘ √%H −≠‰÷ℓ¾⅔% ⅜¾⅘÷∞H ⅖⅘⅗⅞ ⅜⅔ ∞≥⅘Ħ ⅘= −≠÷√ +⅔ ×÷−=≠−≠≈ <−÷Ĥ ≈ ℓ ⅞ ⅘Ω +−⅗− ⅘≠+∫∫ −=+−¾≈H −+⅔ ×−Ĥ×÷⅘⅚+⅘ ≈ = −≠÷⅞≠=√ =¾⅘Ĥ ⅚−H ⅞⅖−H ⅗⅜⅘ ⅘¬⅘ −⅚+− ≠⅔‰ ×−¾⅘=⅘ ⅞≠∞=√H ‰⅔‰ +⅘ +⅔ ×−⅜−⅖+ℓ>H √=+ℓ> ‰⅔÷≠⅔>Ĺ ⅝¾⅘÷⅘¾≥⅞⅘ ¾÷⅔⅗⅞ = >−⅜≈H ×÷√ − =− ¾≠−÷−% ⅔ ⅘⅞ +⅔≤⅞+⅔∫≠ +⅔ ⅘≠⅔≠∞ +⅔ ≠⅘⅖√ ≠− ×⅔ ⅞H ⅖≈‰¾⅔ ∞+− ¾≠⅔×≠ℓ¾⅔√ ¾ ⅝⅘ Ĥ

≠÷Ħ Îİ

∫ ⅞ ⅝⅔=≠⅔¾ √√ ⅖⅘≥⅘+−H = −¾+− −≥⅔ ⅘¾≥⅞% ⅝⅔√±H =≠÷⅘%<⅞≠∞=√ ¾− ¾=⅘¾−⅝ −⅚+ℓ⅘ =≠−÷−+ℓH ⅜⅔⅖ℓ +⅘ ×−×⅔=≠∞ ×−⅜ ¾=≠÷⅘≤+ℓ% −⅗−+∞Ħ ⅔‰ ×÷⅔¾⅞ −H +⅔⅖−÷ ×÷−≠⅞¾+⅞‰−¾ +−⅗−≤⅞= ⅘+ ⅞ ÷⅔⅝+−Ĥ −⅖÷⅔⅝⅘+H −⅜+⅔‰−H +⅔⅖ ∫⅜⅔∫≠=√ +⅘‰−≠−÷ℓ⅘ ×÷−⅖ ⅘ ℓ = ⅞> ÷⅔=Ĥ =≠⅔+−¾‰−% ⅞ =×⅔≈+− Ħ ⅔‰H ¾ ¾ℓ≥⅘≈×− √+≈≠−% ⅔ ⅘⅘H ‰⅔÷≠⅔ =≠⅔Ĥ +−¾⅞≠=√ +⅔=≠−√¬⅘% ×ℓ≠‰−% Ĥ ×⅔≤‰⅔ =⅞+⅞> ⅖⅞− ⅘>⅔+−⅞⅜−¾ =×⅔≈Ĥ +⅞≠=√ ⅗⅜⅘Ĥ≠− ⅜⅔ ⅘‰−H ⅝⅔ ⅜⅘÷⅘¾∞√ ⅞H ⅞⅝Ĥ⅝⅔ ≤⅘⅗− ×− +⅞ ⅜−¾−Ĥ ∞+− = −⅚+− ×−×⅔=≠∞Ĵ ×÷√ − ×− ±⅘+≠÷≈H ⅗⅜⅘ ×−⅜ +⅘⅖− ∞≥−% ⅔÷‰−% ⅘⅚⅞≠ ≠− ⅞⅗⅔+ = ×⅔≠÷−+⅔ ⅞H =≠−⅞≠ ≈ ⅖Ĥ ⅞ ×−Ĥ‰ ⅞+Ĥ ≠⅞=≠¾≈⅜=‰⅞ ≥ ⅔ √⅘≠ =¾−⅞ ⅞ ÷⅔‰⅘≠⅔ ⅞H +⅘ ×≈=‰⅔√ +⅔= ⅖ ⅞⅚⅘H ⅔ ¾ ≠−⅚⅘ ¾÷⅘ √ ×−⅜−⅖÷⅔≠∞=√ ‰ +⅘ ≈ +⅔ ÷⅔==≠−√+⅞⅘ −×≠⅞ ⅔ ∞+−Ĥ ⅗− ¾ℓ=≠÷⅘ ⅔ ⅞⅝ ⅜¾≈=≠¾− ‰⅞ +⅘ ⅜⅔∫≠ ×−=≠−√++−Ĝ⅞ ⅞+−⅗⅜⅔ ⅜−¾−Ĥ ∞+− +≈⅜+−Ğ ÷⅘=×⅔≈+√¬⅞⅘=√ ‰⅔ ⅞‰⅔⅜⅝⅘Ħ −⅜−⅖+ℓ> =⅞≠≈⅔±⅞%H ⅗⅜⅘ ⅞⅗÷−‰≈ ×÷⅞>−⅜⅞≠=√ ⅖≈‰¾⅔ ∞+− ×÷−Ĥ ⅗÷ℓ⅝⅔≠∞=√ =‰¾−⅝∞ ×− ≤⅞¬⅔ =⅔ ℓ> ×÷−≠⅞¾+ℓ> ¾÷⅔⅗−¾ ŐŤŲÙŬẀV ŐŠÜH +⅔ ‰⅔÷≠⅘ ⅜−¾− ∞+− ×− +−H ⅔ ¾ +⅘‰−≠−÷ℓ> ⅘=≠⅔> ⅚⅘ ¾=⅘ +⅔−⅖−÷−≠ ⅜−¾− ∞+− −⅖ℓ⅜⅘++− Ĥ =×⅔≈+ ×÷−⅞=>−⅜⅞≠ ≠⅔‰⅞ −⅖Ĥ ÷⅔⅝− H ≤≠− ×÷⅞>−⅜⅞≠=√ ⅖⅔+⅔ ∞+− =≠−√≠∞ +⅔ ⅘=≠⅘ ⅞ ⅜−⅚⅞⅜⅔≠∞Ĥ =√H ‰−⅗⅜⅔ −≠‰≈⅜⅔Ĥ≠− ⅞⅝ ¾−⅝⅜≈>⅔ ¾ℓ×÷ℓ⅗+⅘≠ −≤⅘÷⅘⅜+−% ‰ ⅞÷ ⅞ ⅞ ≠ℓ‰¾−⅘⅜Ħ ₍×÷−≤⅘ H ¾ ∂≠−% >⅔÷⅜‰−÷+−=≠⅞ −⅜+−⅝+⅔≤+− ⅘=≠∞ ⅞ =¾−% ⅞+≠⅘÷⅘=+ℓ% ≥⅔÷ Ħ ⅕≠− ⅞ ⅘++− ≠⅔ =⅔ ⅔√ +⅔=≠−√¬⅔√ >⅔÷⅜Ĥ ‰−÷+−=≠∞H ‰−≠−÷⅔√ =≠−⅞≠ +⅔ ⅗− −¾≈ ¾ℓ≥⅘ =⅘÷⅞⅞ ŎẀŪ ÕŲ MÙŤH ‰−Ĥ ≠−÷⅔√ ¾÷−⅜⅘ ⅖ℓ ⅞ ×÷−×⅔⅗⅔+⅜⅞÷≈⅘≠ ∂≠−≠ ⅚⅘ ×÷⅞+±⅞×H +− +⅔ ⅜⅘Ĥ ⅘ −‰⅔⅝ℓ¾⅔⅘≠=√ ×÷−=≠−% ⅞⅗÷−% +⅔ +⅘÷¾⅔>H ‰⅔‰ ⅘= ⅞ ⅖ℓ ¾ℓ >−≠∞ ÷⅔⅝ ¾ ⅚⅞⅝+⅞ ×÷−⅖−¾⅔ ⅞ ×−≠⅘÷⅘≠∞ ‰≈=‰− −‰÷−⅗− ×⅘+−× ⅔=≠⅔ ×− −‰−++− ≈ =≠⅘‰ ≈Ħ −⅚+−=≠∞ ‰⅔÷≠⅘ ⅜−⅖⅔¾ √⅘≠ ⅘¬⅘ ⅞ +⅘−×÷⅘⅜⅘ ⅘++ℓ% ⅖⅔ ⅔+= −÷≈⅚⅞√ ⅞ ⅖−⅘×÷⅞×⅔=−¾Ħ ⅘ ⅚⅜⅞≠⅘H ≤≠− ¾⅔ =÷⅔⅝≈ ⅚⅘ ¾ ÷≈‰⅞ ⅜⅔Ĥ ⅜≈≠ ÷−‰⅘≠ ⅔≈+≤⅘÷ ⅞ ⅞ ⅞+⅞⅗⅔+ Ĥ ⅔¾≠−÷H ‰⅔‰ ∂≠− ⅞ ×÷⅞=≈¬⅘ ‰ ⅔=Ĥ =⅞≤⅘=‰− ≈ =≠⅞ ∫H ⅖≈⅜⅘≠ ×−≠≤⅘¾⅔≠∞ ⅞⅗÷−‰⅔ −≠+∫⅜∞ +⅘ =⅔ ℓ =⅞ ∞+ℓ −÷≈⅚⅞⅘ H ¾ℓ⅜⅔¾⅔√ ⅞> ×− +⅔÷⅔=≠⅔∫¬⅘% −¬+−=≠⅞Ħ

⅔‰⅚⅘H ¾⅔ ×−=≠−√++− ⅖≈⅜⅘≠ +⅘ >¾⅔≠⅔≠∞ ×⅔≠÷−+−¾ ‰ ⅜⅘%=≠¾⅞Ĥ ≠⅘ ∞+− +≈⅚+ℓ ⅞ =⅞ ∞+ℓ ×≈≥‰⅔ H ×−∂≠− ≈ ⅖− ∞≥≈∫ ≤⅔=≠∞ Ē ⅘÷=⅞⅜=‰−% ÷⅘⅝+⅞Ē ×÷⅞⅜⅘≠=√ ×÷−≠−×⅔≠∞ = ⅜÷−⅖−¾⅞‰− ¾ ÷≈Ĥ ‰⅔>Ħ ⅘=− +⅘++−H ⅘=≠⅔ ⅞ ∂≠− ⅜−=≠⅔¾ √⅘≠ +⅘‰−≠−÷−⅘ +⅘≈⅜−⅖Ĥ =≠¾−H ≠⅔‰ ‰⅔‰ ×÷⅞>−⅜⅞≠=√ ×÷−=≤⅞≠ℓ¾⅔≠∞ ⅖−⅘¾≈∫ =⅞≠≈⅔±⅞∫H ⅖⅘Ĥ ÷⅘≤∞ ⅖− ⅘⅘ =⅞ ∞+ℓ⅘ =+⅔÷√⅜ℓ ⅞ ×÷⅔¾⅞ ∞+− ÷⅔=>−⅜−¾⅔≠∞ ⅖−⅘⅝⅔Ĥ ×⅔= ⅜÷≈⅗⅞> −÷≈⅚⅞%H ≠− ⅘=≠∞ Ĥ =≠⅔÷⅔≠∞=√ +⅘ ⅔⅝⅔≠∞ ×− ¾÷⅔⅗⅔ Ħ ⅞+⅔ ∞+⅔√ ⅖⅞≠¾⅔ ×− ≈≤⅞ ⅔=∞ +⅘ +−⅗− =ℓ÷−% Ĥ ⅖−==− H ⅝⅔¾Ĥ ⅘÷≥⅔∫¬⅞ ≈÷−¾⅘+∞H ¾ℓ=≠≈×⅔⅘≠ ≠− ×⅔ ⅞⅝ ≠÷⅘>=−≠ = ⅞≥+⅞ √Ĥ ⅗≈≥⅘‰H = ‰−≠−÷ℓ ⅞ +⅔= ⅝⅔×⅞÷⅔∫≠ ¾ +⅘⅖− ∞≥−%H +− −≤⅘+∞ ‰÷⅔=⅞Ĥ ¾−% ‰− +⅔≠‰⅘Ħ ⅔⅝ ⅔>⅔ ⅞ ∂×⅞≤+−=≠⅞ +⅘ >¾⅔≠⅔⅘≠H ¾×÷−≤⅘ H ×−Ĥ = ⅘ ¾=⅘% √=−÷≈⅖‰⅞H ≤≠− ×÷⅞⅜⅘≠=√ ×÷−%≠⅞ ⅞⅗÷−‰≈H ∂≠−⅗− ⅞ ≠⅔‰ >¾⅔≠⅞≠Ħ ≈H ⅔ ≤≠− ‰⅔=⅔⅘≠=√ ⅔≈⅜⅞−Ĥ=−×÷−¾−⅚⅜⅘+⅞√ Ĥ ≠− ≠≈≠ ¾=Ω ¾ ×−Ĥ ÷√⅜‰⅘Ħ ₍ ⅞÷+ℓ> =⅞≠≈⅔±⅞√> ⅞⅗÷⅔⅘≠ √⅗‰⅔√ ≈⅝ℓ‰⅔H ⅞ ¬⅘⅖⅘≤≈≠ ×≠⅞≤‰⅞H ¾ ⅖−⅘¾ℓ> =⅞≠≈⅔±⅞√> ≠⅘ × ≈⅝ℓ‰⅞ ≈=‰−÷√⅘≠=√H ¾ −=−⅖− +⅔×÷√⅚⅘++ℓ> − ⅘+≠⅔> ¾‰ ∫≤⅔⅘≠=√ ⅖−⅜÷⅘+∞‰⅞% ⅘≠⅔ Ħ −H ≤≠− +≈⅚+−H +⅞≤⅘⅗− ⅞≥+⅘⅗−H +⅞‰⅔‰−⅗− ⅜⅔⅖=≠⅘×⅔H = ⅔¾⅔ ₌−⅗≈ĦĦĦ ĠĠĠ ⅔‰⅞ −⅖÷⅔⅝− H ×⅘÷⅘⅜ +⅔ ⅞ ⅜⅘%=≠¾⅞≠⅘ ∞+− >−÷−≥⅞% ×÷⅞Ĥ ⅘÷ ‰ ⅔==⅞≤⅘=‰−%H >−≠∞ ⅞ ⅜−¾− ∞+− = −⅚+−%H −⅜⅞+−≤+−%H √Ĥ =⅞=≠−% ‰⅔÷≠ℓ ⅜ √ ŐŤŲÙŬẀV ŐŠÜJ ØUŤ ŐŤȘŬŪT NŪȘŬẀŪWŤŲĦ −+⅘≤+−H ⅘=≠⅔ ⅞ ⅗⅘% × ⅘% =⅖⅞¾⅔⅘≠=√ ×− ×÷⅞≤⅞+⅘ +⅘‰−≠−÷ℓ> ×÷−⅖ ⅘ = ⅖⅔ ⅔+=− ¾÷⅔⅗−¾ ⅞ −÷≈⅚⅞√H +−H ≠⅘ +⅘ ⅘+⅘⅘H Ē ⅘÷=⅞⅜=‰⅔√ ÷⅘⅝+√Ē √¾ √⅘≠=√ =¾−⅘⅗− ÷−⅜⅔ >−÷−≥⅞ ×⅞+‰− ×−⅜ ⅝⅔⅜+⅞±≈ ⅞⅗Ĥ ÷−‰≈ Ĥ − H ¾=≠÷√>+⅞=∞H ⅗⅘÷−%H ⅗−÷√≤−Ë

pq ⅔÷≠⅔H ×÷⅘≠⅘+⅜≈∫¬⅔√ +⅔ ⅝¾⅔+⅞⅘ ×−Ĥ+⅔=≠−√¬⅘ ≈ ‰ ⅔==⅞≤⅘=‰−%Ĵ ¾ℓĤ ×− +⅘++⅔√ ¾ ‰÷−≠⅞ −¾=‰− =≠⅞Ĥ ⅘ H ×≈=≠∞ ⅞ = +⅘‰−≠−÷ℓ ⅞ −⅗÷⅘>⅔Ĥ ⅞ ¾ × ⅔+⅘ = −⅚+−=≠⅞ ⅞ ⅖⅔ ⅔+=⅔H −+⅔ =×−=−⅖+⅔ ¾¾⅘÷⅗+≈≠∞ ⅞⅗÷−‰⅔ ¾ =−=≠−√+⅞⅘ = ⅔⅜‰−% +−=≠⅔ ∞⅗⅞⅞

W W

W

GGGGGGGG

ULNM

GGGGGGGGG VLNM W GGGGGGG

TLNM

GGGGGGGG

ULNM

ULNM ≠÷Ħ ÎĮ

W W pboflrp p^jW qcb `ä~ëëáÅ

clodlqqbk mi^`b J

W mçîáä~ë háåÇÉêáë

J

W NIM

₋¾≠−÷ ÷⅘±⅘+⅝⅞⅞J ŐWŲŚŇUŬVW ≠⅔‰H =÷⅔⅝≈ >−≤≈ ×÷⅘⅜≈×÷⅘⅜⅞≠∞H ≤≠− ‰⅔÷≠⅔ +⅘ ‰−÷−≠⅘+∞‰⅔√ Ĥ ∂≠− −⅚+− ×−Ĥ +√≠∞ ×− ÷⅔⅝ ⅘÷≈ Ĝ<⅔% ĦŴŨT ¾⅘=⅞≠ ÎÍ ÜŞĞH ⅞ √ ⅞≤+− ×÷−≥Ω ⅘Ω ⅝⅔ Í ≤⅔= ⅞ ÍÍ ⅞+≈≠H ≤≠− +⅘ ≠⅔‰ ≈⅚ ⅞ ⅔ −Ħ −⅚+− ⅝⅔Ĥ ⅘≠⅞≠∞H ≤≠− ‰⅔≤⅘=≠¾− ‰⅔÷≠ℓ ×− >−⅜≈ ×÷−Ĥ >−⅚⅜⅘+⅞√ ⅘+√⅘≠=√ Ĥ ¾ +⅔≤⅔ ⅘ ¾=Ω ¾ℓĤ ⅗ √⅜⅘ − +⅘ = ⅞≥‰− ‰÷⅔=⅞¾−H −+=≠÷ℓ =×⅔¾+⅞ ⅞=∞ =÷⅔⅝≈ ×⅔≤‰⅔ ⅞H ⅔ ¾−≠ ⅜⅔ ∞Ĥ ≥⅘ ≈⅚⅘ ⅞ ⅜⅞⅝⅔%+ ⅖ℓ ×− ≈≤≥⅘H ⅞ ×−×ℓ≠Ĥ ‰⅞ =⅜⅘ ⅔≠∞ +−÷ ⅔ ∞+ℓ% =×⅔¾+ −+=≠÷−¾ Ĝ⅔ +⅘ =÷⅔⅝≈ Ĥ −÷⅜⅔ ⅞ĞĦ ⅖¬⅞⅘ ¾×⅘≤⅔≠ ⅘Ĥ +⅞√ −≠ ‰⅔÷≠ℓ = ⅘≥⅔++ℓ⅘J = −⅜+−% =≠−Ĥ ÷−+ℓH ‰ ⅔==⅞≤⅘=‰⅞% ⅗⅘% × ⅘%H ‰−≠−÷ℓ% +⅘ ⅜⅔Ω≠ ⅝⅔=‰≈≤⅔≠∞H ⅔ = ⅜÷≈⅗−% Ĥ ⅞⅗÷−‰≈ ×−=≠−√++−H ×÷√ − ×⅘÷⅘⅜ +−=− H ⅖≈⅜≈≠ =−¾⅔≠∞ ‰⅔ ⅞‰⅔⅜⅝⅘H ‰ ⅞÷−¾ ⅞ ×÷−≤⅞> =≈Ĥ ×−=≠⅔≠−¾H ×÷⅞≤⅘ ¾ ⅜−¾− ∞+− ≠⅘=+ℓ> ‰−Ĥ ÷⅞⅜−÷⅔>Ħ ⅔‰⅚⅘ =≠−⅞≠ −≠ ⅘≠⅞≠∞ ⅞ ×÷⅘Ĥ ‰÷⅔=+ℓ% ⅜⅞⅝⅔%+H +− ⅘=≠⅔ ⅞ −+ =≠⅔+−Ĥ ¾⅞≠=√ −≠‰÷−¾⅘++− ≈⅖−⅗⅞ Ĝ+⅔×÷⅞ ⅘÷H ¾ ×⅘÷¾−% ‰− +⅔≠⅘H ¾ ‰−≠−÷−% ×−√¾ √⅘≠=√ ⅞⅗÷−‰ĞĦ ⅕≠− ⅖ℓ ⅞ −⅖¬⅞⅘ ¾×⅘≤⅔≠ ⅘+⅞√H +−H ⅜⅔¾⅔%≠⅘ ÷⅔⅝⅖⅘÷Ω =√ ¾− ¾=⅘ ×− ×−Ĥ ÷√⅜‰≈ ⅞ ×−⅗ ≈⅖⅚⅘J ≠⅔‰H ⅞+≠⅘÷⅘=+−=≠∞Ħ +⅔≤⅔ ⅔ ‰⅔÷≠≈ ⅖ℓ − ⅞+≠⅘÷⅘=+− ×÷−Ĥ >−⅜⅞≠∞H ⅜⅔⅚⅘ +⅘= −≠÷√ +⅔ ⅘=≠⅔ ⅞ +⅘≈Ĥ ⅜⅔≤+ℓ% ⅜⅞⅝⅔%+Ħ ⅜+⅔‰−H ¾− ¾≠−÷−% ×−Ĥ −¾⅞+⅘ ‰⅔÷≠ℓH ×⅘÷⅘⅜ ≠⅘ H ‰⅔‰ ¾⅝√≠∞ ⅞Ĥ +⅞⅗⅔+H +⅔≤⅞+⅔⅘≠=√ +⅔=≠−√¬⅔√ √=−÷≈⅖Ĥ ‰⅔Ħ ₍ × −>− = ℓ= ⅘Ħ −+=≠÷−¾ −≤⅘+∞ +−⅗−H −+⅞ ×÷−=≠− ⅖≈⅜≈≠ ⅜⅔¾⅞≠∞ ¾⅔= =−Ĥ ⅖−%H +⅘ ⅜⅔¾⅔√ ¾ℓ%≠⅞ ⅞⅝ −‰÷≈⅚⅘+⅞√Ħ ₋

−¾− ∞+−Ĥ≠⅔‰⅞ =≠⅔÷⅔√ ‰⅔÷≠⅔ ⅜ √ ŐŤŲÙŬẀV ŐŠÜJ ØUŤ ŃÙŲVW NŪȘŬẀŪWŤŲ =− =≠÷⅔++ℓ =×⅔≈+− ¾÷⅔⅗−¾H +⅘Ĥ ÷⅔¾+− ⅘÷+ℓ ⅜⅞⅝⅔%+− H +− ¾⅘=∞ ⅔ ¾+≈≥⅞≠⅘ ∞+ℓ ⅞ ÷⅔⅝ ⅘÷⅔Ĥ ⅞Ħ

⅔×≠⅘≤⅘‰H ≤≠− =⅔ −⅘ ¾⅔⅚+−⅘H ⅔ −Ħ ⅔‰⅚⅘ +⅘ +⅘ ×−+÷⅔¾⅞ −=∞ ≠−H ≤≠− ⅔¾≠−÷ ×−Ĥ =≠−√++− =≠⅔¾⅞ =×⅔¾+⅘÷ℓ ≠⅔‰H ≤≠−⅖ℓ ‰ ⅞÷ℓ ⅞ ⅞ ‰⅔ ⅞‰⅔⅜⅝⅘ ×−√¾ √ ⅞=∞ ×÷√Ĥ − ×⅘÷⅘⅜ ¾⅔ ⅞Ħ −+⅘≤+−H ∂≠− +⅘ = ⅘÷Ĥ ≠⅘ ∞+−H ⅘= ⅞ ≈ ¾⅔= +−⅗− ⅝⅜−÷−¾∞√H +− +⅘×÷⅞√≠+−Ħ ⅝⅔×− +⅞≠⅘ =⅔ −⅘ ⅗ ⅔¾+−⅘J ⅘= ⅞ ×⅘÷⅘⅜ ¾⅔ ⅞ −⅖ℓ≤+ℓ% ‰−÷⅞Ĥ ⅜−÷I‰− +⅔≠⅔I×⅔≠÷−+ℓI⅞ ≠Ħ×Ħ Ĥ ⅖≈⅜∞Ĥ ≠⅘ ⅗−≠−¾ℓ ‰ ≠− ≈H ≤≠− +⅔ ×≈≠⅞ ‰ ⅞=‰− −Ĥ ≈ −⅖℮⅘‰≠≈H +⅔ ¾⅔= −⅖√⅝⅔≠⅘ ∞+−H ×÷√ − ¾ ⅞±−H ¾ℓ×÷ℓ⅗+⅘≠ ‰⅔‰⅔√Ĥ+⅞⅖≈⅜∞ ¾÷⅔⅚⅞Ĥ +⅔Ħ ₋÷>⅞≠⅘‰≠≈÷⅔Ħ ∂≠⅞ ∂ ⅘ ⅘+≠− ‰⅔÷≠ℓ +⅘ ¾=⅘ ≠⅔‰ ×÷−=≠− ⅞ ×−+√≠+−Ħ ⅘ − ¾ ≠− H ≤≠− −⅜+⅞ ⅘=≠⅔ ¾ℓ⅗ √⅜√≠ −≠ ⅞≤+−H >−÷−≥− ×−⅜−Ĥ ⅖÷⅔+ℓ ≠⅘‰=≠≈÷ℓH +− ⅜÷≈⅗⅞⅘ ⅚⅘ ×÷⅘⅜=≠⅔Ĥ ¾ √∫≠ =−⅖−% −⅖ℓ≤+ℓ⅘ ‰≈⅖ℓH +⅘⅝⅔≠⅘‰=≠≈Ĥ ÷⅞÷−¾⅔++ℓ⅘ Ĝ⅞ ⅞ ‰÷⅞¾− ⅝⅔≠⅘‰=≠≈÷⅞÷−Ĥ ¾⅔++ℓ⅘Ğ ‰− +⅔≠ℓ ⅞ ×÷−=≠− =‰≈≤+ℓ⅘ ×−Ĥ ⅘¬⅘+⅞√Ħ ÷⅞≤Ω ⅞+≠⅘÷⅘=⅘+ ⅞ +⅘ +−⅗− =≠÷⅔++−¾⅔≠ ≠−≠ <⅔‰≠H ≤≠− ⅜⅞⅝⅔%+ >÷−Ĥ ⅔⅘≠ ⅞ ⅘++− ¾ ×− ⅘¬⅘+⅞√>H >−≠√ +⅔ −≠Ĥ ‰÷ℓ≠ℓ> ×÷−=≠÷⅔+=≠¾⅔> ¾=Ω +⅔=≠− ∞‰− ‰÷⅔=⅞¾−H ≤≠− ×−√¾ √∫≠=√ ℓ= ⅞H ⅖≈⅜≠− ∂≠−≠ ‰≈=−‰ ‰⅔÷≠ℓ ⅜⅘ ⅔ ‰≠−Ĥ≠− ⅜÷≈⅗−%Ħ ≠− ‰⅔=⅔⅘≠=√ ⅝¾≈‰−¾−⅗− =−×÷−¾−⅚⅜⅘Ĥ +⅞√H ≠− ⅝⅜⅘=∞ +⅞≤⅘⅗− +−¾−⅗− +⅘≠Ħ ≈⅝ℓĤ ‰⅔ −≠ ⅞≤+− ¾×⅞=ℓ¾⅔⅘≠=√ ¾ ⅔≠ −=<⅘÷≈ ‰⅔÷≠ℓH +⅔ =≤Ω≠ +⅘Ω √ +⅘ ⅞ ⅘∫ +⅞‰⅔‰⅞> ×÷⅘≠⅘+⅝⅞%H −⅜+⅔‰−H +−¾ℓ⅘ ≠÷⅘‰⅞ ≠⅔‰⅚⅘ ⅖ℓ ⅞ ⅖ℓ ×÷⅞√≠+−% ⅜−⅖⅔¾‰−% ‰ ÷⅔⅝+−−⅖Ĥ

W W

W

GGGGGGGG

ULNM

GGGGGGGG

ULNM

W GGGGGG

SLNM

GGGGGGG

TLNM

÷⅔⅝⅞∫Ħ ₋ ¾−≠ ⅝¾≈‰⅞ ÷⅔==≠÷−⅞ ⅞H ⅝⅔ ¾=∫ ‰⅔÷≠≈ ≤≠−Ĥ≠− +−¾−⅘ −⅚+− ≈= ℓ≥⅔≠∞ ¾=⅘⅗− ×⅔÷≈Ĥ≠÷−%‰≈ ÷⅔⅝Ħ ⅔ −¾⅔≠−H −⅚Ĥ +− ⅖ℓ − ⅖ℓ ⅞ ×−⅖− ∞≥⅘ ¾=≠⅔¾⅞≠∞ ⅜ √ ×−⅜≤⅘÷‰⅞¾⅔+⅞√ ⅖− ∞≥⅘% ⅔≠ −=<⅘÷+−Ĥ =≠⅞Ħ ×≠⅞ ⅞⅝⅔±⅞√Ħ ⅔‰ √ ⅞ ×⅞=⅔ ¾ℓ≥⅘H ¾ ×− ⅘¬⅘+⅞√> ⅜⅘≠⅔ ⅞⅝⅔±⅞√ = ⅔⅖⅔√H ⅝⅔≠− +⅔ −≠‰÷ℓ≠ℓ> ×÷−=≠÷⅔+=≠¾⅔> ¾=Ω =⅞ ∞+− ⅜⅘≠⅔ ⅞⅝⅞÷−Ĥ ¾⅔+−Ħ −¾⅞≤‰⅞H ‰−≠−÷ℓ⅘ ≠− ∞‰− +⅔≤⅞Ĥ +⅔∫≠ ⅝+⅔‰− ⅞≠∞=√ = ÷⅘⅜⅔‰≠−÷− H ⅜− Ĥ ⅚+ℓ ⅝+⅔≠∞H ≤≠−H ÷⅔⅝≈ ⅘⅘≠=√H ≈≤≥⅘ ×−Ĥ ¾ℓ≥⅔≠∞ ⅜⅘≠⅔ ⅞⅝⅔±⅞∫ ⅞ ⅘++− ¾ ×− ⅘Ĥ ¬⅘+⅞√>H ⅔ +⅘ +⅔ −≠‰÷ℓ≠ℓ> ×÷−=≠÷⅔+Ĥ =≠¾⅔>Ħ ⅔ ∂≠−% ⅚⅘ ‰⅔÷≠⅘ ¾=Ω ¾ℓ×− +⅘+− +⅔−⅖−÷−≠Ħ ₍ +⅘‰−≠−÷ℓ> ⅘=≠⅔> Ĝ+⅔×÷⅞Ĥ ⅘÷H ¾ ‰−+±⅘ ‰⅔÷≠ℓĞ ≈ ⅘+√ ⅖ℓ ⅞ ⅜−¾−Ĥ ∞+− =⅞ ∞+ℓ⅘ ≠−÷ −⅝⅔ ⅞ ×÷−=⅘⅜⅔+⅞√ ŃÖŐĜ⅜− ĬĤİ ‰⅔⅜÷−¾ ¾ =⅘‰≈+⅜≈ĞH ≠−⅗⅜⅔ ‰⅔‰ ¾ ×− ⅘¬⅘+⅞√> ¾=Ω ⅖ℓ − ⅗ ⅔⅜‰−H +− ×÷⅞ ∂≠− ×÷⅞≥ −=∞ ∫⅖−¾⅔≠∞=√ ¾=√‰⅞ ⅞ +⅘ −≤⅘+∞ ≈⅚ ⅞ ‰÷⅔=⅞¾ℓ ⅞ ‰≈⅖⅞‰⅔ ⅞Ħ ĠĠĠ ≠−⅗J >−÷−≥⅔√ ‰⅔÷≠⅔H +− +⅘ −≠ ⅞≤+⅔√Ħ ₎ ⅔¾+ℓ⅘ +⅘⅜−=≠⅔≠‰⅞ Ĥ × −>−% ⅖⅔ ⅔+= ¾÷⅔⅗−¾I⅔×≠⅘≤⅘‰ ¾− ¾≠−÷−% ×− −¾⅞+⅘ ‰⅔÷Ĥ ≠ℓH × −>⅔√ −×≠⅞ ⅞⅝⅔±⅞√ +⅔ −≠‰÷ℓ≠ℓ> ×÷−=≠÷⅔+=≠¾⅔> ⅞ = ⅔⅖⅔√ ⅔÷>⅞≠⅘‰≠≈÷⅔ ¾ ×− ⅘¬⅘+⅞√>Ħ

pq

TLNM ≠÷Ħ ÎIJ

₍÷⅘⅝‰⅔ Ï ‰÷⅞+≥−≠ℓ ŃŬŲŦŬWWŤŪ ÖŨŠȘŤ

₍ =⅘⅗−⅜+√≥+⅘% =≠⅔≠∞⅘ ÷≈⅖÷⅞‰⅞ ⅘÷∞⅘⅝+−⅘ ÷⅘⅜⅔‰≠⅞÷−¾⅔+⅞⅘ ℓ −≠−%⅜⅘ −≠ ±⅞‰ ⅔ ⅔≠⅘÷⅞⅔ −¾ ×− ÷⅔⅖−≠⅘ = ŐMO ×⅘÷¾−⅗− ŐŤŲÙŬẀV NŪŦÙŪŤ ⅞ ÷⅔== −≠÷⅞ ‰≈⅜⅔Ĥ⅖− ⅘⅘ +−¾−⅘H +− Ω⅗‰−⅘ ×− ⅘ ⅜⅘%=≠¾⅞%Ħ ⅘⅗−⅜+√H ⅜−÷−⅗⅞⅘ ≤⅞Ĥ ≠⅔≠⅘ ⅞H ℓ ÷⅔⅝⅖⅘÷⅘ −=+−¾ℓ =−⅝⅜⅔+⅞√ ≠⅘÷÷⅘%+⅔ ¾ ŐŤŲÙŬẀV NTÙWŬŲ ĨHĪĦ ÷⅞¾⅘≠=≠¾≈∫ ¾=⅘> ⅔××⅘÷−¾ ⅞ ⅚⅘ ⅔∫¬⅞> ⅞ ⅞ =≠⅔≠∞Ë ₍ ∂≠−% =≠⅔≠∞⅘ ÷⅘≤∞ ×−%⅜⅘≠ − ≠⅘÷÷⅘%+⅔>H ⅞ ⅞ ⅔+⅜≥⅔<Ĥ ≠⅔> Ĥ ‰⅔‰ ⅞> =−⅝⅜⅔¾⅔≠∞H +⅔‰ ⅔⅜ℓ¾⅔≠∞ +⅔ +⅞> ≠⅘‰=≠≈÷ℓH ⅔ ≠⅔‰ ⅚⅘ −⅖ ≈‰÷⅔≥⅘+⅞√>H ¾÷−⅜⅘ ≠÷⅔¾ℓĦ ⅔‰⅚⅘ √ ⅜ √ =−Ĥ ¾=⅘ ≈⅚ +−¾⅞≤‰−¾ ÷⅔⅝∞√=+∫H ‰⅔‰ ⅜⅘ ⅔≠∞ −=¾⅘¬⅘+⅞⅘Ħ −⅝⅜⅔⅘ ⅘≥ −⅝⅜⅔%≠⅘ +−¾ℓ% −⅖∞⅘‰≠ ŐÙÜŮŨŤÓŬTŤŨ Ĥ +⅔⅚ ⅞≠⅘ ŅŪVŤŲWH ⅞ ¾−⅝ ⅘ ≈‰⅔⅝⅔≠⅘ √ ℓ≥⅞ ×−√¾⅞≠=√ ⅝⅘ ⅘+ℓ% ‰≈⅖ Ĥ Ē×≈Ĥ =≠ℓ≥‰⅔Ē ×−⅜ ⅖≈⅜≈¬≈∫ −⅜⅘ ∞Ħ ₍ℓ⅜⅘ ⅞≠⅘ ⅘⅗−Ħ ⅘×⅘÷∞H ¾+⅞⅝≈Ĥ= ⅘¾⅔ ⅘=≠∞ ‰+−׉⅔ = +⅔Ĥ ⅜×⅞=∞∫ PŬŲŨT NTÙWŬŲĦ ⅔⅚ ⅞≠⅘ +⅔ +⅘⅘H ⅞ ¾ℓ⅖⅘÷⅞≠⅘ ÓŤVU ŤTÙWŬŲ Ĥ ÷⅘⅜⅔‰≠−÷ ⅘≥⅘%H ¾ +⅘ =−⅝⅜⅔∫≠=√ ⅞ ÷⅘Ĥ ⅜⅔‰≠⅞÷≈∫≠=√ =⅔ ⅞ −⅜⅘ ⅞Ħ ×÷⅔¾⅔ ¾ℓ⅖⅘÷⅞≠⅘ ¾‰ ⅔⅜‰≈ ĿŲŤŠWŤH ⅞ +⅔⅚ ⅞≠⅘ +⅔ ØŤŲŲŠÙŪĦ ₍ ⅗ ⅔¾+− −‰+⅘ ¾¾⅘÷>≈Ĥ =×÷⅔¾⅔ ⅜− ⅚+− ×−√¾⅞≠∞=√ −‰−≥‰− = +⅔⅜×⅞=∞∫ ØŬŬŨĦÖŲÙĤ ÜÙWÙẂŤØŤŲŲŠÙŪØŬŬŨĦ ₍ ⅗ ⅔¾+− −‰+⅘ ⅝⅔⅚ ⅞≠⅘ ⅞ ×−≠√+⅞≠⅘ ℓ≥∞H ≤≠−⅖ℓ =−⅝Ĥ ⅜⅔≠∞ × −=‰−=≠∞Ħ ⅔⅚ ⅞≠⅘ Ō ≤≠−⅖ℓ ¾ℓ⅝¾⅔≠∞ −‰+− ØŬŬŨV Ĝ¾‰ ⅔⅜‰⅔ ¾+⅞⅝≈Ĥ= ⅘¾⅔ĞH ¾¾⅘⅜⅞≠⅘ ≠⅔ +≈⅚+ℓ⅘ ¾⅔ ×⅔÷⅔Ĥ ⅘≠÷ℓ ∂≠−% × −=‰−=≠⅞Ħ ⅔= ⅞+≠⅘÷⅘=≈∫≠ ≠− ∞‰− ⅜⅔++ℓ⅘ ×⅔÷⅔ ⅘≠÷ℓJ ŁŬẄ ȘŤŪWŤŲ Ĥ ÷⅔=×− −⅚⅘+⅞⅘ ĜÞH QH RĞ ŁŬẄ VÙYŤ Ĥ ÷⅔⅝ ⅘÷ℓ Ĝ⁄⅞÷⅞+⅔H ¾ℓ=−≠⅔H ⅜ ⅞+⅔Ğ ÷⅞ ⅘≤⅔+⅞⅘J ¾ ŐNMĨ ¾ℓ=−≠⅘ =−−≠¾⅘≠=≠¾≈⅘≠ +⅘ −=∞ RH ⅔ −=∞ QĦ ĠĠĠ −√=+⅘+⅞⅘J ¾−⅝ −⅚+−H ¾ℓ =×÷−=⅞≠⅘ Ĥ Ē ⅔≤⅘ × −=‰−=≠⅞ ×⅔÷⅔Ĥ ⅘≠÷ ¾ℓ=−≠ℓĹĒĦ ⅔ =⅔ − ⅜⅘ ⅘H ⅝⅜⅘=∞ ⅝⅔⅜⅔∫≠=√ ÷⅔⅝ ⅘÷ℓ +⅘ × −=‰−=≠⅞H ⅔ ‰≈⅖⅔Ĥ‰−+≠⅘%+⅘÷⅔H ¾ ‰−≠−÷ℓ% ∂≠⅔ × −=‰−=≠∞ ⅝⅔Ĥ ‰ ∫≤⅘+⅔Ħ ⅘ +−⅗− ×−⅝⅚⅘H ‰−⅗⅜⅔ ℓ ⅖≈⅜⅘ ÷⅞=−¾⅔≠∞ ⅔+⅜Ĥ ≥⅔<≠H ℓ ⅖≈⅜⅘ = ⅘¬⅔≠∞ ×− ⅞⅗−+ℓ ×− ¾ℓ=−≠⅘H +− ⅝+⅔≤⅘+⅞√ ×÷⅞ ⅘+√∫≠=√ =‰−÷⅘⅘ ×÷−±⅘+≠+ℓ⅘H −≠+−=⅞≠⅘ ∞+− ¾ℓ=−≠ℓ ‰−+≠⅘%+⅘÷⅔Ħ ÷−¬⅘ ⅗−¾−÷√H ⅘= ⅞ ‰−+≠⅘%+⅘÷ = ⅞≥‰− +⅞⅝‰⅞%H +⅞≤⅘⅗− ¾ℓ≥⅘ +⅘⅖− ∞≥−⅗− >− ⅞‰⅔ =−⅝⅜⅔≠∞ +⅘ ×− ≈≤⅞≠=√Ħ

ÞH R VŤŦÜŤŪWV Ĥ ≤⅞= − ×− ⅞⅗−+−¾ ×− −=√ Þ ⅞ RĦ ÖŬŨXŦŬŪ WXŮŤ Ĥ ≠⅞× ×− ⅞⅗−+−¾Ĵ ŌẀŠTV Ĥ ≤⅘≠ℓ÷⅘>≈⅗− ∞+⅞Ĥ ‰⅞H ⅞ ØŲÙŠŪŦŨŤV Ĥ ≠÷⅘≈⅗− ∞+⅞‰⅞Ħ ⅔⅝+⅞±ℓH ×− =≈≠⅞H +⅞‰⅔Ĥ ‰−%H ⅞⅝ ⅘+⅞≠=√ ⅞≥∞ =⅘≠‰⅔ Ĥ ¾=⅘ ×− ⅞⅗−+ℓ +⅔ =⅔ − ⅜⅘ ⅘ =−=≠−√≠ ⅞⅝ ≠÷⅘≈⅗− ∞+⅞‰−¾ ⅞ ⅞ ⅞ ⅞ √¾ √∫≠=√Ħ MÙVŮŨŠȘŤ ÜŠŮJ ⅘= ⅞ ≈ ¾⅔= ⅘=≠∞ ‰⅔÷≠⅔ ¾ℓ=−≠H −⅚⅘≠⅘ ≈‰⅔Ĥ ⅝⅔≠∞ ⅘⅘ ≠≈≠Ħ −⅗⅜⅔ ⅝⅔‰−+≤⅞≠⅘ = +⅔=≠÷−%‰⅔ ⅞H +⅔⅚ ⅞≠⅘ MH ≤≠−⅖ℓ ×⅘Ĥ ÷⅘%≠⅞ ‰ ÷⅘⅜⅔‰≠⅞÷−¾⅔+⅞∫ +⅔≥⅘% × −=‰−=≠⅞Ħ

÷⅞ ⅘≤⅔+⅞⅘J ⅔÷≠⅔ ¾ℓ=−≠ Ĥ <⅔% ⅞⅝−⅖÷⅔⅚⅘+⅞√ ¾ <−÷ ⅔≠⅘ ĦWŦŠ = ±¾⅘≠+−=≠∞∫ ĨÎ ⅖⅞≠⅔H ×− ‰−≠−÷− ≈ ŐNM ÷⅘⅗≈ ⅞÷≈⅘≠ ¾ℓĤ =−≠≈ ×− ⅞⅗−+−¾ ×− √÷‰−=≠⅞ ×⅞‰=⅘ ⅘% Ĥ ≤⅘ =¾⅘≠ ⅘⅘H ≠⅘ ¾ℓĤ ≥⅘Ħ

⅔=≠÷⅔⅞¾⅔⅘ ≥⅘%⅜⅘÷ℓ ⅞ ≠⅘‰=≠≈÷ℓ ⅘÷⅘⅜ ≠⅘ H ‰⅔‰ +⅔‰ ⅔⅜ℓ¾⅔≠∞ ≠⅘‰=≠≈÷ℓH +⅔ +⅔⅜− ⅝⅔Ĥ ⅜⅔≠∞ ⅜ √ +⅞> ×⅔÷⅔ ⅘≠÷ℓH ≠⅔‰⅞⅘ ‰⅔‰ ǾŒĤ‰⅔÷≠⅔H ⅔=‰⅔H ⅞ ≠Ħ⅜Ħ ⅔⅝⅖⅘÷⅘ ×− ×−÷√⅜‰≈Ħ √ +⅔≤⅔ ⅔ ≈⅖⅘⅜⅞≠⅘=∞H ≤≠− ¾ℓ ¾ ÷⅘⅚⅞ ⅘ ÷⅘⅜⅔‰≠⅞÷−¾⅔+⅞√ ×− ⅞⅗−+−¾ Ĝ⅜− ⅚+⅔ ⅖ℓ≠∞ +⅔Ĥ ⅚⅔≠⅔ ‰+−׉⅔ ÖŬŨXŦŬŪĞĦ ₍ℓ⅖⅘÷⅞≠⅘ ¾‰ ⅔⅜‰≈ ÒŠXŤŲ Ĝ⅞ ⅞ +⅔Ĥ ⅚ ⅞≠⅘ ŠŨWĢÍH ⅘= ⅞ ¾‰ ⅔⅜‰⅞ ÒŠXŤŲ ≈ ¾⅔= +⅘≠≈ĞĦ ⅔=‰÷−%≠⅘ ÖŬŨXŦŬŪ ÜŠŮV L MŤȚŠẀŨWH =−⅝⅜⅔%≠⅘ +−¾≈∫ ‰−+Ĥ <⅞⅗≈÷⅔±⅞∫ Ĝ⅝+⅔‰ ĒĢĒĞH ¾ ŐUŠTŤŲ ¾ℓ⅖⅘÷⅞≠⅘ ÓẀŨWÙÒŠXŤŲĦ ₋ ≠⅔‰⅚⅘ +⅘ ⅝⅔⅖≈⅜∞≠⅘ =−⅝⅜⅔≠∞ +−¾≈∫ ǾŒĤ‰⅔÷≠≈ Ĝ¾+⅞⅝≈Ĥ =×÷⅔¾⅔ +⅔⅚ ⅞≠⅘ ‰+−׉⅞ ŒÓH Ø ⅞ ¾ ¾ℓ×⅔⅜⅔∫¬⅘ ⅘+∫ ¾ℓ⅖⅘÷⅞≠⅘ ĻȘWÙŬŪV L ĿŲŤŠWŤ ŪŤŴ ẂŤŲWŤẄ ÜŠŮĞĦ ₍ℓ⅖⅘÷⅞≠⅘ ¾+⅞⅝≈ ≠⅞× ‰⅔÷≠ℓ Ĥ ĻWŨŠVH +⅔⅝¾⅔+⅞⅘ ≈‰⅔⅚⅞≠⅘ ŐUŠTŬŴĦ +⅔ +≈⅚+⅔ ⅜ √ −≠−⅖÷⅔⅚⅘+⅞√ ≠⅘+⅘% +⅔ −⅜⅘Ĥ ⅞Ħ ⅘×⅘÷∞ =−⅝⅜⅔%≠⅘ ⅔=‰≈ ≠⅘‰=≠≈÷ℓ ĜÜŠVÛ WŤẄWẀŲŤĞH −+⅔ +⅔ +≈⅚+⅔H ≤≠−⅖ℓ ÷⅞=−¾⅔≠∞ ≠⅘‰=≠≈÷ℓ +⅔ +⅔≥⅘ ⅔+⅜Ĥ ≥⅔<≠⅘Ĝ+⅔⅚ ⅞≠⅘ +⅔ ĜŪŬŪŤĞH ¾ℓ⅖⅘÷⅞≠⅘ ÔŤŴ L ĿŐWŠWÙȘØŤẄĤ WẀŲŤĞĦ ⅔=‰÷−%≠⅘ =¾⅞≠−‰ ÜŠVÛ WŤẄWẀŲŤH ⅞ ≈‰⅔⅚⅞≠⅘ ¾ ×⅔÷⅔Ĥ ⅘≠÷⅔> PÙTWU ⅞ ÑŤÙŦUW ⅝+⅔≤⅘+⅞√H ‰÷⅔≠+ℓ⅘ ⅜¾≈ Ĝ‰ ×÷⅞Ĥ ⅘÷≈H ÎĪĬ ⅞ ⅞ ĪÍÎĞĦ −>÷⅔+⅞≠⅘ ⅔=‰≈ +⅔ ⅚⅘=≠‰⅞% ⅜⅞=‰ Ĝ+⅔⅚ ⅞≠⅘ +⅔ ĜŨŬȘŠŨĞH ⅝⅔≠⅘ ŐŠẂŤĞĦ ‰⅔⅚⅞≠⅘ ≠⅘‰=≠≈÷ℓ ⅞ ǾŒ ‰⅔÷≠≈ ĒWŤẄWẀŲŤĒ Ĝ⅞ ‰⅔÷≠ℓ +−÷ ⅔Ĥ ⅘%H ⅘= ⅞ ⅜−=≠≈×+ℓĴ ¾ ÷⅘=≈÷=⅔> ⅞⅗÷ℓ ‰⅔÷≠ℓ +−÷ ⅔ ⅘% ⅞ ⅘∫≠ ×−=≠<⅞‰= ŚÔÓĞ ⅜ √ = −⅘¾ = Í ×− Ī Ĝ×⅔÷⅔ ⅘≠÷ℓ ŨŠXŤŲ Ẅ TÙȚȚẀVŤĞH ⅔ ≠⅔‰ ⅚⅘ ≈‰⅔⅚⅞≠⅘ VWŲŤWȘU ǾIŒ ⅜ √ ‰⅔⅜⅚−Ĥ ⅗− = −√ ×−⅖− ∞≥⅘ ĜÍÌIÍÌ ‰ ×÷⅞ ⅘÷≈ĞH ≤≠−⅖ℓ ≠⅘‰=≠≈÷ℓ +⅘ ⅖ℓ ⅞ = ⅞≥‰− ÷⅔=≠√+≈≠ℓ ⅞Ħ ⅔ ⅝⅔ ⅘≠‰≈J ¾ ⅖÷⅔≈⅝⅘÷⅘ −⅖∞⅘‰≠−¾ ⅝⅔⅚ ⅞≠⅘ ĿWŲŨ ⅞ ‰÷≈≠⅞≠⅘ ‰− ⅘=− ℓ≥⅞H ≤≠−⅖ℓ ⅘+√≠∞ ÷⅘⅚⅞ ℓ ×÷−= −≠÷⅔J =×⅞=−‰Ĵ ⅞‰−+‰⅞ Ĝ= ×÷⅘⅜×÷−= −≠÷− ĞĴ ⅞‰−+‰⅞ = +⅔⅝¾⅔+⅞⅘ Ĵ ⅖− ∞≥⅞⅘ ⅞‰−+‰⅞ = +⅔⅝¾⅔+⅞⅘ Ħ

⅞=≈⅘ ⅔+⅜≥⅔<≠ ⅞ ‰÷⅔=⅞ ⅘⅗− ≠⅘‰=≠≈÷⅔ ⅞ −⅗⅜⅔ ¾ℓ ⅝⅔‰−+≤⅞ ⅞H +⅔⅚ ⅞≠⅘ ÔH ≤≠−⅖ℓ ¾ℓ⅝¾⅔≠∞ ⅞+Ĥ =≠÷≈ ⅘+≠ ÖŠÙŪWIMÙVŮŨŠȘŤH ‰−≠−÷ℓ ℓ ⅖≈⅜⅘ +⅔‰ ⅔⅜ℓĤ ¾⅔≠∞ ≠⅘‰=≠≈÷ℓ ⅞ ÷⅞=−¾⅔≠∞ =⅔ ⅔+⅜≥⅔<≠Ħ

≠÷Ħ ĨÍ

⅘÷⅘%⅜⅞≠⅘ ¾− ¾‰ ⅔⅜‰≈ ØŬŬŨV Ĝ‰ ⅔¾⅞≥⅔ ŌĞ Ĥ ¾ +⅘ ℓ ¾⅞Ĥ ⅜⅞ +⅔=≠÷−%‰⅞ ⅞+=≠÷≈ ⅘+≠⅔J ÖŠÙŪW ŬŮŤŲŠWÙŬŪ Ĥ ÷⅘⅚⅞ ℓ ⅞+=≠÷≈ ⅘+≠⅔J MÙVŮŨŠȘŤ ĜĒ¾ℓ≠√Ĥ ⅗⅞¾⅔+⅞⅘Ē ×− ⅞⅗−+−¾ĞH ŐÜŬŬWU Ĝ=⅗ ⅔⅚⅞¾⅔+⅞⅘ĞH ØŤẄWẀŲŤ ŎŇŁĻH ⅞ ‰⅔+⅔ ℓ ŎH ŇH ŁH Ļ ×− −≠⅜⅘ ∞+−=≠⅞Ħ −√=+⅘+⅞⅘J ≤≠−⅖ℓ ⅞⅝⅖⅘⅚⅔≠∞ +⅘×−+⅞ ⅔+⅞√H ÷⅔⅝∞√=+∫ ×÷⅞+Ĥ ±⅞×H ×− ‰−≠−÷− ≈ +⅔‰ ⅔⅜ℓ¾⅔∫≠=√ ≠⅘‰=≠≈÷ℓĦ ₍ =⅔ − ÷⅘Ĥ ⅜⅔‰≠−÷⅘H ‰−⅗⅜⅔ ℓ ‰÷⅔=⅞ −⅜⅘ ⅞ ≠⅘‰=≠≈÷⅔ ⅞H ℓ +⅔ =⅔Ĥ − ⅜⅘ ⅘ ÷⅞=≈⅘ ¾ −⅜+− ⅞⅝ ‰⅔+⅔ −¾ +⅔≥⅘% ⅔=‰⅞ ≠⅘‰=≠≈÷ Ĥ ‰⅔⅚⅜ℓ% ‰⅔+⅔ −≠¾⅘≤⅔⅘≠ ⅝⅔ =¾−% = −% ĜŎŇŁĻ Ĥ = −% ÍH ×− ≈ − ≤⅔+⅞∫H Ŏ Ĥ ¾≠−÷−%H Ň Ĥ ≠÷⅘≠⅞%H ⅞ ≠⅔‰ ⅜⅔ ⅘⅘ĞH ⅔ ÷⅘⅜⅔‰Ĥ ≠−÷ +⅔‰ ⅔⅜ℓ¾⅔⅘≠ ≠⅘‰=≠≈÷ℓ +⅔ ≠⅘÷÷⅔%+ ×− ∂≠−% ⅔=‰⅘Ħ ×÷⅞ ⅘÷≈H ¾ℓ ×÷−¾⅘ ⅞ ×− −=≈ ≠⅘‰=≠≈÷ℓ ¾≠−÷−⅗− = −√H ⅞ ×− −Ĥ =≈ ≠⅘‰=≠≈÷ℓ ≠÷⅘≠∞⅘⅗− = −√ Ĥ +⅔ ⅔=‰⅘ −≠−⅖÷⅔⅝√≠=√ ⅜¾⅘ ×−Ĥ −=ℓJ ‰÷⅔=+⅔√ ⅞ ⅝⅘ ⅘+⅔√H ⅔ +⅔ −⅜⅘ ⅞ ⅞ ⅖≈⅜≈≠ =−−≠¾⅘≠Ĥ =≠¾−¾⅔≠∞ ≠⅘‰=≠≈÷ℓH ≈‰⅔⅝⅔++ℓ⅘ ¾ =−−≠¾⅘≠=≠¾≈∫¬⅞> = −√> ≥⅘%⅜⅘÷⅔ ÓẀŨWÙÒŠXŤŲĦ

ŁŲẀVU ÜŬTŤ Ĥ ÷⅘⅚⅞ ‰⅞=≠⅞H ¾⅘÷+⅘⅘H ÷⅘⅚⅞ +⅔ −⅚⅘+⅞√ ±¾⅘≠⅔ +⅔ ⅔=‰≈ Ĥ ŁŨŤŪT Ĝ= ⅘≥⅞¾⅔+⅞⅘ĞH ÑẀŤ Ĝ−≠≠⅘+−‰ĞH ŐŠWẀŲŠWÙŬŪ Ĝ+⅔=ℓ¬⅘++−=≠∞Ğ ⅞ ÒÙŦUWŪŤVV Ĝ√÷‰−=≠∞Ğ ₍ −=+−¾+− H ℓ ⅖≈⅜⅘ ×− ∞⅝−¾⅔≠∞=√ = ⅘≥⅞¾⅔+⅞⅘ H ≠⅔‰ ≤≠− −=≠⅔¾∞≠⅘ ‰⅔‰ ⅘=≠∞Ħ MÙVŮŨŠȘŤ TÙŲŤȘWÙŬŪ Ĥ +⅔×÷⅔¾ ⅘+⅞⅘ = ⅘¬⅘+⅞√ ×− ⅞⅗−+−¾ Ĥ ×− −⅚⅞≠⅘ ∞+ℓ⅘ ⅞ −≠÷⅞±⅔≠⅘ ∞+ℓ⅘ −=⅞ ÞH Q ⅞ RH ⅔ ≠⅔‰ ⅚⅘ ×− +−÷ ⅔ √ ¾⅘÷≥⅞+ ⅞ ⅞ ×− +⅔×÷⅔¾ ⅘+⅞∫ ¾⅝⅗ √⅜⅔Ħ ₍ −=+−¾+− H >¾⅔≠⅞≠ ⅞ ⅜¾≈> ¾⅔÷⅞⅔+≠−¾ ĒÖŬVÙWÙẂŤIÔŤŦŠWÙẂŤ X ŠẄXVĒĦ ŐÜŬŬWU ȘŬŪVWŲŠÙŪWV Ĥ −⅗÷⅔+⅞≤⅘+⅞√ =⅗ ⅔⅚⅞¾⅔+⅞√ Ĥ =⅗ ⅔Ĥ ⅚⅞¾⅔≠∞ ⅖⅘⅝ −⅗÷⅔+⅞≤⅘+⅞% ⅞⅖− =⅗ ⅔⅚⅞¾⅔≠∞ ≠− ∞‰− ×− −=⅞ ÞH Q ⅞ ⅞ RĦ ÓŤWŤŲV ŮŤŲ VŤȘŬŪT Ĥ ⅞+⅔≤⅘ ⅗−¾−÷√H =‰−÷−=≠∞ = ⅘¬⅘+⅞√ ×− ⅞⅗−+−¾Ħ ÕŪŨX VŤŨŤȘWŤT Ĥ ¾ ⅞√≠∞ ≠− ∞‰− +⅔ ¾ℓ⅜⅘ ⅘++ℓ⅘ ×− ⅞⅗−+ℓ ⅞ ⅞ +⅘≠Ħ ÖŠÙŪW WŤẄWẀŲŤ Ĥ ⅔=‰⅔Ħ ÖŲŤẂÙŤŴ ȘŬŨŬŲ Ĥ ±¾⅘≠ ×÷⅘⅜Ĥ×÷−= −≠÷⅔Ħ ÑÙTŤ ŞŲẀVU VUŠŮŤ Ĥ =‰÷ℓ¾⅔≠∞ ⅞ ⅞ +⅘≠ ‰⅞=≠∞Ħ NẄŮŠŪT ŤTŦŤV ŲŠTÙẀV Ĥ +⅘H ⅘= ⅞ ≤⅘=≠+−H +⅘ ×−+√≠⅘+ ∂≠−≠ ×⅔÷⅔ ⅘≠÷H +− −+ ⅞ +⅘ ¾⅔⅚⅘+Ħ ŅŦŪŬŲŤ ŞŠȘÛȚŠȘŤ ŮŬŨXŦŬŪV Ĥ ¾ ⅞√≠∞ ⅞ ⅞ +⅘≠ +⅔ ×− ⅞⅗−+ℓH +⅔>−⅜√¬⅞⅘=√ ×−⅝⅔⅜⅞Ħ √ =−⅝⅜⅔+⅞√ ⅔+⅜≥⅔<≠⅔ ¾ℓ⅖⅞÷⅔⅘ ÷⅘⅚⅞ MÙVŮŨŠȘŤĦ ⅔⅚ ⅞≠⅘ ĻŨWĢŁH ≤≠−⅖ℓ ¾ℓ⅝¾⅔≠∞ −‰+− +⅔=≠÷−⅘‰ ‰⅞=≠⅞Ħ −⅗⅜⅔ +⅔÷⅞=≈⅘≠⅘ +≈⅚+ℓ% ¾⅔ ⅔+⅜≥⅔<≠H ×⅘÷⅘%⅜⅞≠⅘ ¾ ÷⅘⅚⅞ ØŤẄWẀŲŤ ŎŇŁĻ Ĝ×⅘÷⅘⅜ ∂≠⅞ ≈⅖⅘⅜⅞≠⅘=∞H ≤≠− ¾+⅞Ĥ ⅝≈Ĥ=×÷⅔¾⅔ +⅔⅚⅔≠ℓ ‰+−׉⅞ ŒÓ ⅞ ØH ⅔ ≠⅔‰ ⅚⅘ ¾ℓ⅖÷⅔+⅔ ǾŒĤ ‰⅔÷≠⅔ ĒØŤẄWẀŲŤĒH ⅞ ≤≠− ¾ℓ ≈‰⅔⅝⅔ ⅞ ⅔=‰≈ĞH ⅞ +⅔⅚ ⅞≠⅘ ÔẀÜ ĬH ≤≠−⅖ℓ +⅔⅖ ∫⅜⅔≠∞ ⅝⅔ ⅞⅝ ⅘+⅘+⅞√ ⅞ ≠⅘‰=≠≈÷ℓĦ

− ≈ − ≤⅔+⅞∫H +⅔ ⅔+⅜≥⅔<≠ +⅔ −⅚⅘+⅔ ≠⅘‰=≠≈÷⅔ ⅞⅝ = −√ ÍĦ ⅘÷⅘‰ ∫≤⅔√ ‰⅔+⅔ ℓ = Ŏ ×− ĻH ⅘+√⅘ = −%H ‰−Ĥ ≠−÷ℓ% +⅔‰ ⅔⅜ℓ¾⅔⅘≠=√ ‰⅞=≠∞∫Ħ ÷⅞ ⅘≤⅔+⅞⅘J ¾ ÷⅘⅚⅞ ⅘ +⅔ −⅚⅘+⅞√ ≠⅘‰=≠≈÷ +⅘ ÷⅔⅖−≠⅔⅘≠ −≠Ĥ ⅘+⅔ ĜĿWŲŨĢRĞH ¾ ⅘=≠− ∂≠−⅗−H ≤≠−⅖ℓ =≠⅘÷⅘≠∞ ≠⅘‰=≠≈÷≈H ≈⅜⅘÷⅚⅞¾⅔%≠⅘ ĿWŲŨĢ Ħ

⅔÷⅞=−¾⅔ ⅞ ⅔+⅜≥⅔<≠Ĺ ≠ ⅞≤+−H ⅜¾⅞⅗⅔⅘ ⅜⅔ ∞≥⅘Ë −+ ⅞ −=¾⅘¬⅘+⅞⅘ ⅘%≤⅔= =⅔ −⅘ ¾÷⅘ √ +⅔=≠÷−⅞≠∞ −=¾⅘¬⅘+⅞⅘ +⅔ ‰⅔÷≠⅘Ħ ⅘ ⅔⅘≠=√ ∂≠− ⅜−¾− ∞+− ×÷−=≠−H +− = ⅘⅜≈⅘≠ ⅖ℓ≠∞ ⅔‰‰≈Ĥ ÷⅔≠+ℓ Ĥ ⅞+⅔≤⅘ ŐNM −⅚⅘≠ ×÷−=≠− ¾ℓ ⅘≠⅘≠∞H ⅞⅖− −=Ĥ ¾⅘¬⅘+⅞⅘ +⅘ ⅖≈⅜⅘≠ =−⅝⅜⅔+− ≠⅔‰H ‰⅔‰ ¾⅔ +⅔⅜−Ħ ÍĦ ⅖⅘⅜⅞≠⅘=∞H ≤≠− ¾ℓ +⅘ ⅝⅔⅖ℓ ⅞ =−⅝⅜⅔≠∞ ǾŒĤ‰⅔÷≠≈ ĒŐUŠĤ TŬŴĒĦ ÎĦ ⅘÷⅘%⅜⅞≠⅘ ¾ PŬŲŨT ŤTÙWŬŲ ⅞ ¾− ¾‰ ⅔⅜‰≈ NŪWÙWXĦ ĨĦ ₍ℓ⅖⅘÷⅞≠⅘ ŐUŠTŤŲÓŬTÙȚÙŤŲ ⅞ ⅜−⅖⅔¾∞≠⅘ Ĝ⅚⅘ ≠ℓ% ĒĢĒĞ −⅜⅞<⅞‰⅔≠−÷ ĿÒÙŦUWÜŠŮÕẂŤŪŐUŠTŤŲÓŬTÙȚÙŤŲĦ ÏĦ ⅔=≠÷−%≠⅘ ÷⅔⅝ ⅘÷ ÎĪĬ>ÎĪĬĦ ĪĦ ⅘×⅘÷∞ ⅞⅝ ¾‰ ⅔⅜‰⅞ NŪWÙWXÒÙVW ¾−⅝∞ ⅞≠⅘ MÙVWŠŪW ÒÙŦUWH ⅞ ×−=≠⅔¾∞≠⅘ ⅘⅗− ⅗⅜⅘Ĥ+⅞⅖≈⅜∞ +⅔⅜ ≠⅘÷÷⅔%+− ≠⅔‰H ≤≠−⅖ℓ ⅞ ⅞≠⅞÷−¾⅔≠∞ =− +±⅘Ħ −¾⅘≠J ¾ℓ⅜⅘ ⅞¾ −⅖∞⅘‰≠H +⅔⅚ ⅞≠⅘ QH ≤≠−⅖ℓ ×÷⅞¾√⅝⅔≠∞ −⅖℮Ĥ ⅘‰≠ ‰ ‰⅔ ⅘÷⅘ ÷⅘⅜⅔‰≠−÷⅔Ħ − ⅘=≠∞H −⅖℮⅘‰≠ ⅖≈⅜⅘≠ ⅜¾⅞⅗⅔≠∞=√ ¾ ⅘=≠⅘ = ‰⅔ ⅘÷−% Ĥ ⅘≠⅔√ ×− ‰⅔÷≠⅘H ℓ ⅜¾⅞⅗⅔⅘ = =−⅖−% −⅖℮Ĥ ⅘‰≠Ħ

ĬĦ ⅔≥⅘ Ē=− +±⅘Ē ⅜− ⅚+− ≈⅚⅘ =⅘%≤⅔= −≠⅖÷⅔=ℓ¾⅔≠∞ = ⅔Ĥ ⅖⅘+∞‰⅞⅘H +⅘÷⅘⅔ ⅞=≠⅞≤+ℓ⅘H +− ¾=⅘ ⅚⅘ ≠⅘+⅞Ħ İĦ ⅘×⅘÷∞H ⅜ √ ÷⅘⅔ ⅞=≠⅞≤+−=≠⅞H ⅜−⅖⅔¾⅞ −⅖∞⅘‰≠ ĿẀŞŤ ŞŠȘÛŦŲŬẀŪT ⅞⅝ ×⅔׉⅞ ŇŤŬÜŤWŲX ¾ =×⅞=‰⅘ −⅖∞⅘‰≠−¾Ħ ĮĦ −=≠⅔¾∞≠⅘ ⅘⅗− ⅗⅜⅘Ĥ+⅞⅖≈⅜∞ ×−⅜⅔ ∞≥⅘ −≠ ⅞⅗÷−¾−% ≤⅔Ĥ =≠⅞ ‰⅔÷≠ℓĦ IJĦ ₍ℓ −⅚⅘≠⅘ ≈‰⅔⅝⅔≠∞ ⅘ ≈ ⅗−≠−¾≈∫ ≠⅘‰=≠≈÷≈ Ĝ⅞⅝ ×⅔׉⅞ ŁŠȘÛŦŲŬẀŪTVĞH ⅞⅖− =⅗⅘+⅘÷⅞÷−¾⅔≠∞ +⅘⅖− = ×− −¬∞∫ ŐÛXŨÙŦUWŇŤŪŤŲŠWŬŲ Ĝ=−⅝⅜⅔%≠⅘ ⅘⅗− ¾ =−−≠¾Ħ ×⅔÷⅔ ⅘≠÷⅘Ğ ⅞ ≈‰⅔⅝⅔¾ ¾ ×⅔÷⅔ ⅘≠÷⅘ ŐẀŪ +⅔≥ MÙVWŠŪW ÒÙŦUWH ⅞ ⅞≠⅞÷≈∫Ĥ ¬⅞% =− +±⅘H ⅔ ⅝⅔≠⅘ +⅔⅚⅔¾ ŐUÙȚWĢŁĦ ÍÌĦ ⅘×⅘÷∞ +⅔⅚ ⅞≠⅘ ĻŨWĢŇH ⅝⅔≠⅘ ÕÛĦ ⅘÷⅘⅝ ‰⅔‰−⅘Ĥ≠− ¾÷⅘ √ −=¾⅘¬⅘+⅞⅘ ⅞ ≠⅘+⅞ ⅖≈⅜≈≠ ×⅘÷⅘÷⅔=≤⅞≠⅔+ℓĦ −= ⅘ ∂≠−% ×÷−±⅘⅜≈÷ℓ ≈ ¾⅔= ⅜− ⅚+ℓ ×− ≈≤⅞≠=√ ⅖− ⅘⅘ ‰÷⅔=⅞Ĥ ¾ℓ⅘ ≠⅘+⅞Ħ ÍÍĦ ≠−⅖ℓ ⅞⅝⅖⅔¾⅞≠∞=√ −≠ =≠÷⅔++ℓ> ×⅘÷⅘×⅔⅜−¾ √÷‰−=≠⅞H ⅜−⅖⅔¾∞≠⅘ −⅖∞⅘‰≠ ÖŬVWÖŲŬȘŤVVÙŪŦNȚȚŤȘW ⅞⅝ ×⅔׉⅞ NȚȚŤȘWV ¾ =×⅞=‰⅘ −⅖∞⅘‰≠−¾H ⅜−⅖⅔¾∞≠⅘ ÖŬVW ŮŲŬȘŤVVÙŪŦ ŮŲŤVŤWH ⅞ ×⅔Ĥ ÷⅔ ⅘≠÷ℓ NŒ ÜŠẄ ⅞ NŒ ÜÙŪ ⅝⅔⅜⅔%≠⅘H +⅔×÷⅞ ⅘÷H Ĩ ⅞ Ì =−Ĥ −≠¾⅘≠=≠¾⅘++−Ħ ÍÎĦ <⅞+⅔ ∞+ℓ% ≥≠÷⅞> Ĥ ⅜−⅖⅔¾⅞≠∞ −⅖∞⅘‰≠ ÖŲŬŞŤ ŨÙŦUW ≠÷Ħ ĨÎ

+⅔ ‰⅔÷≠≈H ⅝⅔⅜⅔≠∞ ⅘ ≈ ÷⅔⅝ ⅘÷ℓ ¾ =−−≠¾⅘≠=≠¾⅞⅞ = ÷⅔⅝ ⅘Ĥ ÷− ¾⅔≥⅘⅗− ≠⅘÷÷⅔%+⅔H ⅞ +⅔⅚⅔≠∞ ŐUÙȚW Ģ ŁĦ ÷⅔¾⅔ ⅘×⅘÷∞ =≠−⅞≠ ×−=≠⅔¾⅞≠∞ +⅔ ‰⅔÷≠≈ +⅘ +−⅗− ≠÷⅔¾ℓĦ ⅕≠− ⅜⅘ ⅔⅘≠=√ = ×− −¬∞∫ −⅖∞⅘‰≠⅔ ĿŲẀÜŞVĦ −=≠⅔⅘ ⅘⅗− ⅞⅝ NŪWÙWXÒÙVW L ŇŤŬÜŤWŲX +⅔ ‰⅔÷≠≈ ⅞ +⅔Ĥ =≠÷⅔⅞¾⅔⅘ Ħ ⅔= ⅞+≠⅘÷⅘=≈∫≠ = ⅘⅜≈∫¬⅞⅘ +⅔=≠÷−%‰⅞J ÓŠẄ ⅞ ÓÙŪ TÙVWŠŪȘŤ Ĥ ⅔‰=⅞ ⅔ ∞+⅔√ ⅞ ⅞+⅞ ⅔ ∞+⅔√ ⅜⅞Ĥ =≠⅔+±⅞√ ×÷−÷⅞=−¾‰⅞ ≠÷⅔¾ℓĦ ŃŠTŤ ŬẀW ŨŤŪŦWU ⅞ ŃŠTŤ ÙŪ ŨŤŪŦWU Ĥ ‰⅔‰ ⅖ℓ=≠÷− ⅖≈⅜⅘≠ ⅞=Ĥ ≤⅘⅝⅔≠∞ ≠÷⅔¾⅔ +⅔ ÷⅔==≠−√+⅞⅞Ħ ⅘ ¾ℓ≥⅘ ⅝+⅔≤⅘+⅞⅘H ≠⅘ ⅘⅜ ⅘++⅘⅘Ħ ØŠŲŦŤW Ĥ ≈‰⅔⅚⅞≠⅘ +⅔ −⅜⅘ ∞ ¾⅔≥⅘⅗− ≠⅘÷÷⅔%+⅔Ħ ŇŠŮ VÙYŤ Ĥ ÷⅔==≠−√+⅞⅘ ⅘⅚⅜≈ −⅜⅘ √ ⅞Ħ ŎŠŪTŬÜÙYŤ ŮŬVÙWÙŬŪ ŲŠWÙŬ Ĥ ⅝⅘÷+− = ≈≤⅔%+−% ÷⅔==≠⅔+−¾Ĥ ‰⅞ −⅜⅘ ⅘%Ħ ⅖√⅝⅔≠⅘ ∞+− ×− ⅘+√%≠⅘ ⅝+⅔≤⅘+⅞⅘H ⅘= ⅞ ¾ℓ ⅞=×− ∞⅝≈⅘≠⅘ ⅜ √ −⅜+−⅗− ≠⅘÷÷⅔%+⅔ +⅘=‰− ∞‰− −⅖∞⅘‰Ĥ ≠−¾ ĿŲẀÜŞVĦ ⅘×⅘÷∞ =−⅝⅜⅔%≠⅘ +−¾ℓ% ĿŲẀÜŞ ȘŬŪȚÙŦĦ ⅔⅝⅖⅘÷⅘ ⅘⅗− ×⅔Ĥ ÷⅔ ⅘≠÷ℓĦ ĿUŠŪȘŤ ÜẀŨWÙŮŨÙŤŲ Ĥ ≥⅔+=ℓ ÷⅔==≠⅔+−¾‰⅞ ⅜⅔++−⅗− ¾⅞⅜⅔ ÷⅔=≠⅞≠⅘ ∞+−=≠⅞H −≠ ÌĦÌÌ ⅜− ÍĦÌÌ ÕȚȚVŤW Q Ĥ = ⅘¬⅘+⅞⅘ ×− −=⅞ QĦ =≠⅔¾∞≠⅘ ‰⅔‰ ⅘=≠∞Ħ ŃŬŨŨŬŴ VŨŬŮŤ ŲŠWÙŬ Ĥ +⅔=‰− ∞‰− ≠−≤+− ≠÷⅔¾⅔ ⅖≈⅜⅘≠ =≠⅘Ĥ ⅞≠∞=√ +⅔ =‰ −+ℓH −≠ ÌĦÌÌ ⅜− ÍĦÌÌĦ ŃŠȘŤĤȚŬŲŴŠŲT Ĥ ÷⅔=≠⅞≠⅘ ∞+−=≠∞ ¾=⅘⅗⅜⅔ ⅖≈⅜⅘≠ ×−¾⅘÷+≈≠⅔ Ē ⅞±− Ē ‰ ⅞⅗÷−‰≈Ħ =×− ∞⅝≈⅘≠=√ ≠− ∞‰− ⅜ √ ×÷−÷⅞=−¾Ĥ ‰⅞ ≈⅜⅔ ⅘++−% ≠÷⅔¾ℓ ¾ ‰− ⅖⅞+⅔±⅞⅞ = ⅖− ⅘⅘ ⅜⅘≠⅔ ⅞⅝⅞Ĥ ÷−¾⅔++−% ¾−‰÷≈⅗Ħ ĿŬŨŬŲ Ĥ ⅗÷⅔⅜⅞⅘+≠ ±¾⅘≠−¾Ħ ĿŲẀÜŞ ÜŬTŤŨ Ĥ −⅜⅘ ∞ ÷⅔=≠⅞≠⅘ ∞+−=≠⅞Ĝ⅖⅘÷⅘≠=√ ⅞⅝ ĿŬŪĤ WŤŪWIŐŤŲÙŬẀVŐŠÜĨIÓŬTŤŨVIĿŲẀÜŞV ⅞⅖− ⅞⅝ ÓŬĤ TŤŨVIÖŨŠŪWVĞĦ −⅚+− ≈‰⅔⅝ℓ¾⅔≠∞ ‰⅔‰ −⅜⅘ ⅞ ≠÷⅔¾ℓH ≠⅔‰ ⅞ −⅜⅘ ⅞H =‰⅔⅚⅘ H ⅘ −⅗− ≈=−÷⅔H ‰⅔ ⅘≥‰−¾H ⅞ ×÷ĦH ≠Ħ⅘ĦH ĿŲẀÜŞV = ≈⅚⅞≠ ⅜ √ ⅜−⅖⅔¾ ⅘+⅞√ +⅘ ≠− ∞‰− ≠÷⅔¾ℓH ⅔ ÷⅔⅝ ⅞≤+ℓ> ⅜⅘≠⅔ ⅘% ¾−−⅖¬⅘Ħ ⅘÷⅘>−⅜⅞ ‰ ĿŲẀÜŞV ŨŠXŬẀWĦ ⅜⅘=∞ +⅔=≠÷⅔⅞¾⅔⅘≠=√ ÷⅔×−Ĥ −⅚⅘+⅞⅘ ≠÷⅔¾ℓĦ

≠⅔‰H ⅜−⅖⅔¾∞≠⅘ +−¾ℓ% ŁŠÛŤŲĦ ⅔== −≠÷⅞ −=+−¾+ℓ⅘ ×⅔Ĥ ÷⅔ ⅘≠÷ℓĦ ÓŠŮ ŴÙTWUIUŤÙŦUW Ĥ ≥⅞÷⅞+⅔I¾ℓ=−≠⅔ ‰⅔÷≠ℓĦ ÓŠVÛ ǾŒÓŠŮ Ĥ ǾŒĤ‰⅔÷≠⅔ ⅔=‰⅞Ħ ĿŲẀÜŞ ȘUŠŪȘŤ ÜŠVÛ Ĥ ⅔=‰⅔H −×÷⅘⅜⅘ √∫¬⅔√ ÷⅔=×− −Ĥ ⅚⅘+⅞⅘ ÷⅔=≠⅞≠⅘ ∞+−=≠⅞Ħ ⅔=≠⅞≠⅘ ∞+−=≠∞ ⅞⅝ ‰−+<⅞⅗−¾ = Ì ×− Ï ÷⅔=×− ⅔⅗⅔⅘≠=√ =−⅗ ⅔=+− ‰⅔+⅔ ⅔ ŎH ŇH ŁH Ļ ⅔=‰⅞Ħ −⅚+− ⅞=×− ∞⅝−¾⅔≠∞ ≠≈ ⅚⅘ ⅔=‰≈H ≤≠− ℓ ⅞=×− ∞⅝−¾⅔Ĥ ⅞ ⅜ √ ≠⅘‰=≠≈÷ℓ ≠⅘÷÷⅔%+⅔Ħ ₍ ⅞≠−⅗⅘ ≈ +⅔= ⅜− ⅚⅘+ ×− ≈≤⅞≠∞=√ ×− +−±⅘++ℓ% ≠⅘÷Ĥ ÷⅘%+Ħ ⅔‰ ∫≤⅘+⅞⅘ ≠⅔‰H ¾ ∂≠−% =≠⅔≠∞⅘ ℓ ÷⅔⅝−⅖÷⅔ ⅞ −=+−¾+ℓ⅘ ∂≠⅔×ℓ =−⅝Ĥ ⅜⅔+⅞√ ≠⅘÷÷⅔%+⅔Ħ ⅜+⅔‰−H ×− +⅞≠⅘ ×⅔÷≈ ¾⅘¬⅘%J ⅘÷¾−⅘J ‰⅔÷≠≈ ¾ℓ=−≠ ⅗−÷⅔⅝⅜− ≈⅜−⅖+⅘⅘ =⅜⅘ ⅔≠∞ ¾ ≠− ⅚⅘ NŠŲWUŐȘẀŨŮWŬŲH ∂‰=×−÷≠⅞÷−¾⅔≠∞ ⅘⅗− ¾ ŐNMĨ ⅞ +⅔+⅘=≠⅞ ≠⅔ ×⅔÷≈ <⅞+⅔ ∞+ℓ> ≥≠÷⅞>−¾ ¾÷−⅜⅘ =⅗ ⅔⅚⅞¾⅔+⅞√Ħ ⅔‰Ĥ ⅚⅘ −≠ ⅘≤≈H ≤≠− ⅞ ×−÷≠⅞÷−¾⅔++⅔√ ‰⅔÷≠⅔ ¾ℓ=−≠ ⅞+≠⅘÷Ĥ ×÷⅘≠⅞÷≈⅘≠=√ ÷⅘⅜⅔‰≠−÷− +⅘ +−⅗− ‰÷⅞¾− Ĥ ¾−⅝¾ℓ≥⅘+Ĥ +−=≠⅞ ⅞ =‰ −+ℓ ×− ≈≤⅔∫≠=√ ‰⅔‰⅞⅘Ĥ≠− Ē‰¾⅔⅜÷⅔≠+ℓ⅘ĒH +− ∂≠− −⅚+− ⅞=×÷⅔¾⅞≠∞ ¾ =⅔ − ÷⅘⅜⅔‰≠−÷⅘Ħ ⅘≠H ÷⅔⅝≈ ⅘⅘≠=√H ⅘= ⅞ ¾ℓ >−≠⅞≠⅘H ¾ℓ −⅚⅘≠⅘ ⅜⅘ ⅔≠∞ ¾⅔≥ ≠⅘÷÷⅔%+ ×÷√ − ¾ ÷⅘⅜⅔‰≠−÷⅘H +− ¾ =×⅘±⅞⅔ ∞+ℓ> ⅔+⅜≥⅔<≠+ℓ> ÷⅘⅜⅔‰≠−÷⅔>H ¾÷−⅜⅘ ≠−⅗− ⅚⅘ NŠŲWU ŐȘẀŨŮĤ WŬŲH ×÷−±⅘== ⅖− ⅘⅘ ≈⅜−⅖⅘+H ⅜⅔ ⅞ ÷⅔⅖−≠⅔∫≠ ≠⅔‰⅞⅘ ×÷−Ĥ ⅗÷⅔ ℓ ⅖ℓ=≠÷⅘⅘ ⅗÷− −⅝⅜‰−⅗− ŐNMĦ ₍≠−÷−⅘J ⅜⅔++ℓ =×−=−⅖− −≠ ⅞≤+− ⅜⅘ ⅔∫≠=√ >− ℓH +− >−÷−≥⅞⅘H ⅗−⅜+ℓ⅘ =‰⅔ ℓ ⅜⅘ ⅔∫≠=√ −≠⅜⅘ ∞+ℓ ⅞ −Ĥ ⅜⅘ √ ⅞ Ĝ⅜ √ ×÷⅞ ⅘÷⅔ = Ħ ×−= ⅘⅜+⅞% ≈÷−¾⅘+∞ ŐŐĨĞĦ ⅘ ⅔≠∞ ⅞> ≠⅘ ⅚⅘ ≠⅘÷÷⅔%+− H ≤≠− ⅞ ÷⅔¾+⅞+≈H +⅘ =−¾⅘Ĥ ≠≈∫ Ĥ ¾−Ĥ×⅘÷¾ℓ>H ⅔≠⅘÷⅞⅔ +⅔ −⅜⅘ ∞ −⅚+− ⅝⅔⅜⅔≠∞ ⅞≥∞ −⅜⅞+H ⅔ ⅝+⅔≤⅞≠H ¾⅔≥⅔ Ē=‰⅔ ⅔Ē ⅖≈⅜⅘≠ −¬≈¬⅔≠∞=√ ‰⅔‰ ≠÷⅔¾⅔H ⅞ ⅞ +⅔−⅖−÷−≠Ħ ⅔ ⅞ ¾ × ⅔+⅘ −×≠⅞ ⅞⅝⅔±⅞⅞ ≠−Ĥ ⅚⅘ ¾ℓ⅗−⅜+⅘⅘ ⅞=×− ∞⅝−¾⅔≠∞ ×⅔÷≈Ĥ≠÷−%‰≈ −⅜⅘ ⅘% =‰⅔ ¾ ÷⅔⅝+ℓ> ¾⅔÷⅞⅔±⅞√>Ħ ⅔ ∂≠− ¾=⅘Ħ ⅜⅔≤⅞Ë ₋¾≠−÷ =≠⅔≠∞⅞J ĻŲWÙȚÙȘÙŠÍ

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Ĥ ⅔×Ë ⅔ ⅔= ¾⅝⅜÷−⅗+≈ H ×−≤⅘=⅔ −‰÷ℓ% +−= ⅞ = +⅘⅜−¾− ∞=≠¾− −≠‰÷ℓ ⅗ ⅔⅝⅔Ħ ≠‰≈⅜⅔Ĥ≠− =¾⅘÷>≈ +⅔ +⅘⅗− ‰⅔×⅔ ⅔ ¾−⅜⅔Ħ ⅔×Ë ⅔ ⅔= =⅜⅘ ⅔ ×⅘÷⅘‰⅔≠ ‰⅔‰ ÷⅔⅝ ÷−¾+− ⅜− ≠−⅗− − ⅘+≠⅔H ‰⅔‰ −≤⅘÷⅘⅜+⅔√ ‰⅔× √ ⅜−Ĥ =≠⅞⅗ ⅔ ⅘⅗− ×⅘÷⅘+−=⅞±ℓH ⅔ ⅝⅔≠⅘ ×÷⅞=⅘ H ⅝⅘¾+≈ ⅞ ×−= −≠÷⅘ +⅔¾⅘÷>Ħ ₋⅗⅔H ≠⅔‰ ⅞ ⅘=≠∞Ħ ₍ ‰÷ℓ≥⅘ >⅞⅚⅞Ĥ +ℓ ⅖ℓ − ⅔ ⅘+∞‰−⅘ −≠¾⅘÷=≠⅞⅘H ≤⅘÷⅘⅝ ‰−≠−÷−⅘ =−≤⅞ ⅔=∞ +⅔‰−×⅞¾≥⅔√=√ ⅝⅔ ∂≠−≠ ¾⅘≤⅘÷ ÷−=⅔Ħ ⅔=×⅔+Ĥ +ℓ% ∫+−≥⅔Ĥ=⅞ ⅖⅔ ×⅘÷⅘≠⅔¬⅞ ⅗÷≈⅜≈ =⅘+⅔H ¾ℓ×− +√¾≥≈∫ ÷− ∞ =¾−⅘−⅖÷⅔⅝+−% ‰÷−¾⅔≠⅞H ×−⅜⅔ ∞≥⅘ −≠ ⅝ −×− ≈≤+−⅗− ⅘=≠⅔ ⅞ ≈⅚⅘ =−⅖÷⅔ =√ ⅖ℓ − =+−¾⅔ −≠⅜⅔≠∞=√ ¾ −⅖℮√≠⅞√ = ⅔⅜‰−⅗− =+⅔H ‰⅔‰ ¾⅜÷≈⅗H −≠‰≈Ĥ ⅜⅔Ĥ≠− = ≈ ⅞±ℓH ⅜−+⅘= ⅞=∞ ≤∞⅞Ĥ≠− ×÷⅞⅗ ≈≥⅘++ℓ⅘ ⅗− −=⅔Ħ −+ ‰⅔‰ ÷≈‰−% =+√ −Ħ ⅔ ⅔= ⅖ℓ ×÷−¾−÷ ⅞¾ℓ ∫+±− H ×÷−= ℓ¾≥⅞ ¾ ⅜⅘÷⅘¾+⅘ +⅘ ≠− ∞‰− =≠⅔≠≈=− ⅘⅜⅞+=≠¾⅘++−⅗− ≈≤⅘+⅞‰⅔ ≥⅔ ⅔+⅔H +− ⅞ ≠⅘ H ≤≠− ¾=⅘⅗⅜⅔ =−¾⅔ =¾−% +−= ‰≈⅜⅔ +⅘ +⅔⅜−Ħ ₍−≠ ⅞ ¾ ∂≠−≠ ÷⅔⅝ −+ +⅘ = −⅗ ≈⅜⅘÷⅚⅔≠∞=√ −≠ =−⅖ ⅔⅝+⅔ ¾ℓ ⅘⅝≠⅞ +⅔÷≈⅚≈ ⅞ ×−= −≠÷⅘≠∞H ≤≠− ≠⅔ ×÷−⅞=>−⅜⅞≠Ħ ⅞+⅘‰−⅚⅞% ×⅔÷⅘+⅘‰ ×÷⅞>¾⅔≠⅞ =¾−∫ ⅖−⅘¾≈∫ ×⅞‰≈ Ĥ ≠⅔‰H +⅔ ¾=√‰⅞% = ≈≤⅔% Ĥ ⅞ ¾ℓ=‰− ∞⅝+≈ ⅞⅝ ⅜− ⅔ +⅔ ≈ ⅞±≈Ħ ₎− −=⅔ ⅜−+−=⅞ ⅞=∞ −≠‰≈⅜⅔Ĥ≠− ⅞⅝ ±⅘+≠÷⅔ ⅜⅘÷⅘¾+⅞H ¾⅜−⅖⅔¾−‰ ‰− ¾=⅘ ≈H ≠⅔ Ĥ⅚⅘ √÷‰− ⅗−÷⅘ ‰−=≠⅘÷H −≠Ĥ ⅖÷⅔=ℓ¾⅔√ ¾ ¾−⅝⅜≈> ⅖− ∞≥⅞⅘ ⅞=‰÷ℓH ⅔ ≠⅔‰ ‰⅔‰ >⅞⅚⅞+⅔ ∫+−≥⅞ +⅔>−⅜⅞ ⅔=∞ ⅖ ⅞⅚⅘ ¾=⅘> ‰ ∂≠− ≈ ⅘=≠≈H ⅖ℓ − +⅘ ≈⅜÷⅘+−H ≤≠− −+ −‰⅔⅝⅔ =√ ¾ ‰≈÷=⅘ ∂≠−⅗− ÷⅔+∞≥⅘ ¾=⅘>Ħ ⅔÷⅘+∞ +⅘¾− ∞+− ×−⅘⅚⅞ =√ −≠ +−≤+−Ĥ ⅗− >− −⅜⅔ ⅞H ×−⅜ ≠⅘+∞∫ ×⅔ ∞ ⅞ ⅖− ∞≥⅞> ×⅔×−÷−≠+⅞‰−¾H ⅜¾⅞+≈ =√ ¾×⅘÷⅘⅜H =≠⅔÷⅔√=∞ +⅘ ×÷⅞¾ ⅘‰⅔≠∞ ‰ =⅘⅖⅘ ¾+⅞ ⅔+⅞⅘ ⅞ ⅜⅘÷⅚⅔≠∞=√ ≠⅘ +ℓ> =≠⅘+ ⅜⅘÷⅘¾⅘+=‰⅞> ×−=≠÷−⅘‰Ħ ≠ ⅜− ⅔ ⅔ ⅔=⅔ ⅜− ±⅘+≠÷⅔ ∞Ĥ +−% × −¬⅔⅜⅞ ⅜⅘÷⅘¾+⅞ G‰⅘‰⅘ ⅖ℓ − ÷≈‰−% ×−⅜⅔≠∞H ⅞ ¾=‰−÷⅘ ¾⅝¾− +−¾⅔++ℓ% =⅞ ⅖⅔ −‰⅔⅝⅔ =√ +⅔ ⅘Ĥ =≠⅘Ħ ⅔ H ¾−⅝ ⅘ ÷⅔⅝¾⅘⅜⅘++−⅗− ‰−=≠÷⅞¬⅔H +⅔>−⅜⅞ ⅞=∞ ¾−⅚⅜∞ ⅜⅘÷⅘¾+⅞ ×− ⅞ ⅘+⅞ ₋÷⅔%√H ⅘⅗− ⅜÷≈⅗ ⅞ ×−Ĥ −¬+⅞‰H ≈=‰≈ ⅞=≠ℓ% ¾−⅞+ ⅘=≠⅘÷H ⅞ ≈≤⅞≠⅘ ∞ ⅔ ⅔=⅔H ¾⅘ ⅞‰⅞% ⅞ ⅞⅝¾⅘=≠+ℓ% +⅔ ¾=∫ G ⅞⅗⅖− ≥⅔Ĥ ⅔+ Ĥ ₍⅞÷⅜≈‰Ħ +⅞ √÷−=≠+− =×−÷⅞ ⅞ ⅘⅚⅜≈ =−⅖−%H ⅞ ⅔ ⅔= ⅖ℓ ≤÷⅘⅝¾ℓ≤⅔%+− ≈⅜⅞¾ ⅘+ =⅔ − ≈ <⅔‰Ĥ ≠≈ ≠−⅗−H ≤≠− ∂≠⅞ ≠÷−⅘ =⅘%≤⅔=H ⅗ ≈⅖−‰−% +−≤∞∫H ⅜⅘ ⅔∫≠ +⅔ × −¬⅔⅜⅞Ħ ≠÷Ħ ĨÏ

Ĥ ℓ ≠−≤+− ≈¾⅘÷⅘+H ≤≠− −+⅞ ×÷⅞⅖≈⅜≈≠ =⅘⅗−⅜+√ +−≤∞∫Ĺ Ĥ +⅘⅜−¾− ∞+− ×÷−⅖≈÷≤⅔ ⅘=≠⅘÷H =‰÷⅘=≠⅞¾ ÷≈‰⅞ +⅔ ⅗÷≈⅜⅞Ħ ₍=⅘ =¾−⅞ ¾⅞⅜− −+ ×−‰⅔⅝ℓ¾⅔ +⅘⅜−¾− ∞=≠¾− ×÷⅘⅖ℓ¾⅔+⅞⅘ ⅗ ≈⅖−‰−% +−≤∞∫ ⅝⅜⅘=∞H ⅔ +⅘ ¾ ×−Ĥ =≠⅘ ⅞ = ⅚⅘+−%Ħ Ĥ ℓ ≤≠−H ⅘+√ =−¾=⅘ ⅝⅔ ⅞⅜⅞−≠⅔ ⅜⅘÷⅚⅞≥∞Ĺ Ĥ ×−‰÷≈≠⅞ ≈ ¾⅞=‰⅔ ≥⅔ ⅔+ ₍⅞÷⅜≈‰H Ĥ ⅘= ⅞ √ =‰⅔⅝⅔ H ≤≠− −+⅞ ×÷⅞ ⅘≠√≠ =⅘⅗−⅜+√ Ĥ ⅝+⅔≤⅞≠ ≠⅔‰ −+− ⅞ ⅖≈⅜⅘≠Ħ Ĥ ⅔‰H +≈Ĥ‰⅔ ≠⅞>−H ⅔ ≠− ¾ℓ =¾−⅞ ⅞ ¾−× √ ⅞ ¾=∫ ⅜⅘÷⅘¾+∫ ÷⅔⅝⅖≈⅜⅞≠⅘Ë Ĥ ±ℓ‰+≈ +⅔ =×−÷√¬⅞> ¾−⅚⅜∞ ⅞ ×−Ĥ ×÷⅔¾⅞ ‰⅞÷⅔=≠≈Ĝ⅗− −¾+−% ≈⅖−÷ ¾−⅚⅜√ × ⅘ ⅘+⅞ =⅞ ⅖ Ĥ ×÷⅞ Ħ⅔¾≠−÷⅔Ğ +⅔ =¾−⅘% ⅗− −¾⅘H ‰−≠−÷⅔√ ⅖ℓ ⅔ ÷⅔⅝Ĥ ⅘÷− ≤≈≠∞Ĥ ⅞ +⅘ = +⅘⅗− =⅔ −⅗−H Ĥ ⅜⅔¾⅔%≠⅘ ×÷−=≠− ⅚⅜⅔≠∞Ħ ∂≠⅞ ⅞ = −¾⅔ ⅞ ₋÷⅔%√ =⅘ +⅔ ⅝⅘ ∫ ⅞ =≠⅔ ⅝⅔⅜≈ ≤⅞¾− ¾⅗ √⅜ℓ¾⅔≠∞=√ ¾ +⅘⅖−Ħ =≠⅔ ∞+⅔√ ×⅔÷−≤‰⅔ ≠⅔‰⅚⅘ ×−= ⅘⅜−¾⅔ ⅔ ×÷⅞ ⅘÷≈ ¾−⅚⅜√ ⅞ ≠⅞>−+∞‰− ≈=≠÷−⅞ ⅔=∞ +⅔ ×−≤¾⅘Ħ ⅕≠⅔ +−≤∞ +⅔ ⅜⅞⅗⅖− ¾ℓ⅜⅔ ⅔=∞ +⅔ ≈⅜⅞¾ ⅘+⅞⅘ ‰÷⅔=⅞¾−%Ħ ⅞=≠¾ℓ ×⅔ ∞ ‰⅔×⅔ ⅔ ≠√⅚⅘ ⅔√ ÷−=⅔H ¾−‰÷≈⅗ =≠÷⅘‰−≠⅔ ⅞ ⅘=≠+ℓ⅘ =¾⅘÷≤‰⅞ ⅞ ⅜−+−=⅞ ⅞=∞ ‰÷⅞‰⅞ +−≤+ℓ> ×≠⅞±Ħ ₍=⅘ +⅘⅖− ⅖ℓ − ≈=⅘√+− ⅞÷⅞⅔⅜⅔ ⅞ ⅝¾⅘⅝⅜H ⅔ ⅘¾⅘÷+⅔√ ≠≈ ⅔++−=≠∞ =⅞√ ⅔ +⅔ +−⅗− √÷≤⅘H ≤⅘ −⅖ℓ≤+−Ħ ⅔ ⅔= =≠−√ ¾ ≠⅘+⅞ ⅖− ∞≥−⅗− ×⅔×−÷−≠+⅞‰−¾−Ĥ ⅗− ‰≈=≠⅔ +⅔×÷−≠⅞¾ × −¬⅔⅜⅞ ⅞H −≠‰÷ℓ¾ ÷−≠H ⅝⅔¾−÷−⅚⅘+− = −≠÷⅘ ¾¾⅘÷>Ħ ₍+⅘⅝⅔×+−H ⅞ ⅘++− ¾ ∂≠−≠ =⅔ ℓ% − ⅘+≠ ¾ +⅘⅖⅘ =− =¾⅞=≠− ×÷−+⅘= ⅞=∞ ≠÷⅞ −⅗÷− +ℓ⅘ ‰÷ℓ ⅔≠ℓ⅘ ≠⅘+⅞H ⅞ +⅔×≈⅗⅔++ℓ% =⅞ ⅖⅔ ÷⅘⅝¾− ∫÷‰+≈ ¾ ⅖ ⅞⅚⅔%≥⅞⅘ ‰≈=≠ℓĦ ⅘+⅞ =≠÷⅘ ⅞≠⅘ ∞+− =+⅞⅚⅔ ⅞=∞H ⅝⅔≠⅘ ⅜⅔ ⅞ ≥⅞÷−‰⅞% ‰÷≈⅗ +⅔⅜ ‰−=≠÷− ⅞ ¾−÷¾⅔ ⅞=∞ +⅔ × −¬⅔⅜∞Ħ ⅔ ⅔= ×÷⅞≥⅘ ¾ =⅘⅖√H ×−‰÷⅘×≤⅘ ≈>¾⅔≠⅞ ‰−×∞⅘ Ĝ⅜ √ >÷⅔⅖÷−=≠⅞ĞH ⅞H ×−⅗−+√⅘ ℓ% ⅘¬⅘ ⅖− ∞≥⅞ ∫⅖−×ℓ≠Ĥ =≠¾− H ⅔‰‰≈÷⅔≠+− ¾ℓ⅗ √+≈ ⅞⅝ ‰≈=≠−¾Ħ −≠− =⅞ ∞+− ⅝⅔⅚ ≈÷⅞ =√ ⅞ =+−¾⅔ −≠‰÷ℓ ⅗ ⅔⅝⅔H +⅘ ¾⅘÷√ ≈¾⅞⅜⅘+Ĥ +− ≈Ħ ⅔ × −¬⅔⅜⅞ ×÷⅞⅝⅘ ⅞ ⅔=∞ ≠÷−%‰⅔ ¾⅘ ⅞≤⅔¾ℓ> ⅞ ⅖− ∞≥⅘‰÷ℓ ℓ> ⅗÷⅞<−¾Ħ ⅕≠− ⅖ℓ ⅞ −⅗÷− +ℓ⅘ ⅞ −≤⅘+∞ =⅞ ∞+ℓ⅘ ×≠⅞±ℓH =×−=−⅖+ℓ⅘ ⅝⅔×÷−=≠− ×⅘÷⅘+⅘=≠⅞ +⅔ =¾−⅞> × ⅘≤⅔> ×−≤≠⅞ ⅜⅘=√≠−‰ ≠⅔‰⅞> ⅚⅘ =⅞ ⅖H ‰⅔‰ ⅔ Ĥ ⅔=H ⅔ =¾−⅞ ⅞ ≠¾⅘÷⅜ℓ ⅞ ⅞ −=≠÷ℓ ⅞H ‰⅔‰ ⅖÷⅞≠¾⅔H ‰ ∫¾⅔ ⅞H −⅗ ⅞ ∂≠−≠ ⅜⅘=√≠−‰ =⅞ ⅖ ⅘¬⅘ ⅞ ⅝⅔×÷−=≠− ÷⅔⅝Ĥ ⅜⅘ ⅔≠∞ +⅔ ≤⅔=≠⅞Ħ ₎÷⅞<ℓ ×÷−= ℓ ⅞ ¾ +⅔÷−⅜⅘ −≤⅘+∞ ¾− ∞+ℓ ⅞ ⅞ ⅜⅞‰⅞ ⅞ ×≠⅞±⅔ ⅞H −⅖⅞≠⅔∫¬⅞ ⅞ ¾ℓ=−‰− ¾ ⅔−⅖ ⅔≤+ℓ> ₎−÷⅔> +⅔ =⅘¾⅘÷⅘ G ⅞⅗⅖−Ħ ⅞‰− ≈ ⅘¬⅘H ⅜⅔⅚⅘ =⅔ ⅞ =⅞ ⅖⅔ H +⅘ ≈⅜⅔¾⅔ −=∞ ×÷⅞÷≈≤⅞≠∞ ∂≠⅞> =≈¬⅘=≠¾H ‰÷− ⅘ ×÷⅘⅜=≠⅔¾⅞≠⅘ ⅘% −⅜+−%Ĥ⅘⅜⅞+=≠¾⅘++−% ¾⅘ ⅞‰−% ÷⅔=ℓĦ ≤⅞≠⅘ ∞ ₍⅞÷⅜≈‰ +−⅗− ÷⅔==‰⅔⅝ℓ¾⅔ ⅔ ⅔=≈ −⅖ ∂≠− +⅔÷−⅜⅘H ⅞ ¾−≠ ≠⅘×⅘÷∞H ×−>−⅚⅘H ×⅘÷⅘⅜ ×⅔÷⅘+∞‰− ¾−× −¬⅔ ⅔=∞ −⅜+⅔ ⅘⅗⅘+⅜⅔ ⅝⅔ ⅜÷≈⅗−%Ħ ⅗÷⅞<−¾ =×≈=≠⅞ ⅞=∞ ≠÷⅞ ¾ℓ=−‰⅞⅘ <⅞⅗≈÷ℓH −⅖ ⅔≤⅘++ℓ⅘ ¾ ⅔+≠⅞⅞ = ‰⅔×∫≥−+⅔ ⅞ ⅞ ⅝− −≠ℓ ⅞ +⅔≥⅞¾‰⅔ ⅞ +⅔ ÷≈‰⅔¾⅔>Ħ ÷−⅘ =⅞ ⅖H +⅔>−⅜√¬⅞>=√ ¾ ∂≠−≠ − ⅘+≠ +⅔ × −¬⅔⅜⅞H ⅖ℓ=≠÷ℓ ≥⅔⅗− ≈=≠÷⅘ ⅞ ⅞=∞ ‰ ×÷⅞⅖ℓ¾Ĥ ≥⅞ ⅗−=≠√ ⅞ ×÷⅞¾⅘≠=≠¾⅘++− ×−‰ −+⅞ ⅞=∞ ⅞ Ħ ⅔≠⅘ H ¾=⅘ ¾ ⅘=≠⅘H −+⅞ ×−⅜−≥ ⅞ ‰ ‰−=≠÷≈H ⅞ +⅘⅝+⅔‰− ±ℓH +⅔‰−+⅘±H =+√ ⅞ ‰⅔×∫≥−+ℓH =‰÷ℓ¾⅔∫¬⅞⅘ ⅞> ⅞±⅔Ħ ⅔

⅔= ⅔>+≈ Ħ

⅕≠− ⅖ℓ ⅞ >≈⅜−¬⅔¾ℓ⅘H =¾⅘≠ −‰−⅚⅞⅘ =≈¬⅘=≠¾⅔ +⅘−⅖ℓ≤⅔%+−% ‰÷⅔=−≠ℓĦ ¾−⅘ ⅞⅝ +⅞> −‰⅔⅝⅔ ⅞=∞ ≠⅘ +−¾− −Ĥ =ℓ ⅞ ≈⅚≤⅞+⅔ ⅞H ≈ ‰⅔⅚⅜−⅗− ⅞⅝ +⅞> ×− ⅖−‰⅔ ×−√=−¾ ¾⅞=⅘ ⅞ ≈≤⅘¾ℓ⅘ ⅖ ⅔=≠⅘÷ℓ ⅞ +−⅚+ℓ = ⅜ ⅞++ℓ ⅞H ≈⅝‰⅞ ⅞ ⅘≤⅔ ⅞Ħ ÷⅘≠⅞% ⅚⅘ ⅗−=≠∞H ‰ ≈⅜⅞¾ ⅘+⅞∫ ⅔ ⅔=⅔H −‰⅔⅝⅔ =√ ≠⅘ +−¾− −=−% ⅞ +⅘ +−⅗− ⅖− ⅘⅘ = ≈Ĥ ⅗ −%H +⅘⅚⅘ ⅞ ⅜¾−⅘ ×÷⅘⅜ℓ⅜≈¬⅞> ≈⅚≤⅞+ ×− ±¾⅘≠≈ ‰−⅚⅞H ⅚⅘+¬⅞+−%H = ≠÷⅘ √ ⅜ ⅞++ℓ ⅞ ‰−=⅔ ⅞H −×≈Ĥ =‰⅔∫¬⅞ ⅞=√ ⅜− ×−√=⅔Ħ ⅔ ≥⅘⅘ ‰÷⅔=−≠‰⅞ ×−⅖ ⅘=‰⅞¾⅔ ⅖− ∞≥−% ⅔ ≈ ⅘≠ ¾ ¾⅞⅜⅘ ⅚⅘ ≠−⅗− ⅔ ⅔⅝⅔H −⅖÷⅔Ĥ ⅘++−⅗− ‰÷⅔=+−% ‰⅔Ω ‰−%Ħ ⅔ ⅔= ≈⅝+⅔ ∂≠⅞> =≈¬⅘=≠¾Ħ − ⅖ℓ ⅞ =⅞÷⅞⅔+±ℓH ×÷⅘⅜=≠⅔¾⅞≠⅘ ⅞ −⅜+−% ⅞⅝ =⅔ ℓ> ¾⅘ ⅞‰⅞> ⅞ −⅗≈¬⅘=≠¾⅘+Ĥ +ℓ> ÷⅔=H ‰−≠−÷ℓ⅘ ≠− ∞‰− =≈¬⅘=≠¾−¾⅔ ⅞ ¾ ⅞> ⅗⅔ ⅔‰≠⅞‰⅘Ħ ≠÷Ħ ĨĪ

⅞÷⅞⅔+±ℓ ×−‰÷−¾⅞≠⅘ ∞=≠¾−¾⅔ ⅞ G ⅞⅗⅖− ⅞ ¾=√≤⅘=‰⅞ ×− −⅗⅔ ⅞ ⅔ ⅘+∞‰− ≈ =⅞+⅘‰−⅚⅘ ≈ +⅔÷−⅜±≈H −⅜+⅔Ĥ ‰−H ⅔ − ‰− ≈ ⅞⅝ =⅞ ⅖ ¾ℓ×⅔⅜⅔ ⅔ ¾−⅝ −⅚+−=≠∞ ≈¾⅞⅜⅘≠∞ ⅞> ¾⅚⅞¾≈∫H ⅔ ×−≠− ≈ ¾ +⅔÷−⅜⅘ >−⅜⅞ ⅞ ⅞≥∞ −≠Ĥ ⅜⅔ ⅘++ℓ⅘ ⅘⅗⅘+⅜ℓ ⅞ = ≈>⅞ − =¾⅘≠ −‰−⅚⅞> ×−= ⅔++⅞‰⅔> = +⅘⅖⅘= Ħ =≤⅔=≠∞∫H ≈≤⅞≠⅘ ∞ ₍⅞÷⅜≈‰ ≤⅔=≠− ÷⅔=Ĥ =‰⅔⅝ℓ¾⅔ ⅔ ⅔=≈ − =⅞÷⅞⅔+±⅔> ⅞ × ⅔+⅘≠⅘H ⅗⅜⅘ −+⅞ ×÷−⅚⅞¾⅔ ⅞ Ĥ ¾ =¾−⅘ ¾÷⅘ √ ≥⅔ ⅔+ ⅖ℓ −⅜+⅞ ⅞⅝ =≤⅔=≠Ĥ ⅞¾≤⅞‰−¾H ‰−≠−÷− ≈ ≈⅜⅔ −=∞ ×−⅖ℓ¾⅔≠∞ +⅔ Ē× ⅔+⅘≠⅘ ⅞⅝+⅞Ē ⅞ ¾=≠÷⅘≠⅞≠∞=√ = ⅘Ω −⅗≈¬⅘=≠¾⅘++ℓ ⅞ ×÷⅔¾⅞Ĥ ≠⅘ √ ⅞Ħ ⅞¾− −=¾⅘⅚⅞¾ ¾ ×⅔ √≠⅞ ÷⅔==‰⅔⅝ℓ ≈≤⅞≠⅘ √H ⅜− ∫+−⅗− =⅞ ⅖ℓ ×−=≠⅘×⅘++− =≠⅔ − ⅜−>−⅜⅞≠∞H ≤≠− +⅔ × −¬⅔⅜⅞ =≠−√≠ −≠+∫⅜∞ +⅘ ×÷−=≠ℓ⅘ −⅖⅞≠⅔≠⅘ ⅞ ⅞÷⅞≈=⅔H ⅔ +⅘‰≠− ⅗−÷⅔⅝⅜− ¾ℓ≥⅘ =≠⅔≠≈=− Ħ ⅘ ≠ℓ% ⅔ ⅔⅝ ¾ ⅔ − −⅖÷⅔ ⅘+⅞⅞ Ĥ ≥⅔ ⅔+ ÷⅔==‰⅔⅝ℓ¾⅔ H ≤≠− ⅞≥∞ ⅘⅜⅞+⅞±ℓ −⅗ ⅞ +−=⅞≠∞ ×−⅜−⅖+ℓ% ⅔ ≈ ⅘≠Ħ ≠⅔÷⅘%≥⅞Ĥ +ℓ ¾⅘÷>−¾+−⅗− −¾⅘≠⅔ ⅞÷⅞≈=⅔Ë ⅔

⅔= =⅗ −≠+≈ ⅞ ⅔>+≈ ¾ ≠÷⅘≠⅞% ÷⅔⅝Ħ

₍=√ ≠÷−⅞±⅔ +⅔‰−+⅘±Ĥ≠− ≈=⅘ ⅔=∞ ≈ ‰−=≠÷⅔Ĵ ⅚⅘+¬⅞+⅔ +⅘⅖÷⅘⅚+− ×−×÷⅔¾⅞ ⅔ −⅜+≈ ⅞⅝ =¾−⅞> ‰−= ⅞H ×−= −≠÷⅘¾ +⅔ ≥⅔ ⅔+⅔H ≥⅞÷−‰− ≈ ℓ⅖+≈ ⅔=∞Ħ Ĥ ₍⅞÷⅜≈‰H ≠ℓH −⅚⅘≠ ⅖ℓ≠∞H >−≠√ ⅖ℓ ×÷⅞ +⅘ =+⅞ ⅘≥∞ =¾−∫ ±⅘÷⅘ −+⅞⅔ ∞+≈∫ ⅔=‰≈Ĺ Ĥ ⅝⅔ ⅞ ⅔=∞ −+⅔ ⅝¾−+Ĥ ‰⅞ = ⅘>− Ħ Ĥ ⅝¾⅞+⅞≠⅘H √ ×÷−=≠− ≠⅔‰ =⅞ ∞+− ⅚⅜⅔ ×−⅜>−⅜√¬⅘⅗− − ⅘+≠⅔H ≤≠−⅖ℓ +⅔⅜⅘≠∞ ⅘ΩH =≠⅔÷⅘%≥⅞+⅔ − ⅔+⅜⅔H Ĥ ⅞⅝Ĥ×−⅜ ⅔=‰⅞ ≥⅔ ⅔+⅔ ⅜−+⅘==√ = ⅘≥−‰H = −¾+− ₍⅞÷⅜≈‰ ⅞ =⅔ ×−+⅞ ⅔ H ≤≠− ¾ ⅜⅔++−% −⅖=≠⅔+−¾‰⅘ −+ = −Ĥ ≠÷⅞≠=√ ⅗ ≈×−Ħ Ĥ ⅔¾⅔%≠⅘ ×⅘÷⅘%⅜⅘ ‰ ⅜⅘ ≈Ħ ≠− ⅝⅔=≠⅔¾⅞ − ¾⅔= ×÷⅞⅖ℓ≠∞ ‰ +⅔ ¾ =≠− ∞ ×−⅝⅜+⅘⅘ ¾÷⅘ √H ⅗−=×−⅚⅔Ĺ Ĥ ÷⅔=‰≈Ĥ ÷⅞¾ ≠⅔⅖⅔≤+≈∫ ≠÷≈⅖‰≈H − ¾⅞ ¾−⅚⅜∞ ⅞ ¾ℓ×≈=≠⅞ ¾ ¾−⅝⅜≈> ×÷⅞≤≈⅜ ⅞¾−Ĥ¾⅞≠⅞⅘¾⅔≠−⅘ ‰− ∞±− ⅜ℓ ⅔Ħ Ĥ ⅔ +≈⅚+⅔ ¾⅔≥⅔ ×− −¬∞H Ĥ −≠¾⅘≠⅞ ⅔ ⅚⅘+¬⅞+⅔Ĥ=⅞÷⅞⅔+‰⅔Ħ ₋÷⅔%√ ×−×⅘÷>+≈ =√ ⅜ℓ − H ≥⅔ ⅔+ ×−≤⅘=⅔ ℓ=≈∫ ⅔‰≈≥‰≈H ⅔ ≈ ‰⅔≤‰⅔ ⅘=≠⅘÷⅔ −≠ ≈⅜⅞¾ ⅘+⅞√ ÷⅔=≥⅞÷⅞Ĥ ⅞=∞ ⅗ ⅔⅝⅔Ħ Ĥ ≠⅔÷⅘%≥⅞+⅔ −¾⅘≠⅔ ×÷−=⅞≠ ×− −¬∞ ≈ +⅔=H ×÷−=≠ℓ> =⅞ ⅖Ĺ Ĥ ⅞⅝≈ ⅘++− − ¾⅞ ¾−⅚⅜∞H Ĥ +− ≤⅘ ℓ ¾⅔ −⅚⅘ ×− −≤∞Ĺ − ⅔+⅜⅔ − ≤⅔ −‰⅞+≈ ⅔ ¾⅝⅗ √⅜− ¾=⅘>H =⅞⅜√¬⅞> ≈ ‰−=≠÷⅔H ¾‰ ∫≤⅔√ ⅜¾≈> =¾−⅞> ≠⅘ −>÷⅔+⅞≠⅘ ⅘%H ⅔ ×−≠− ¾ℓ+≈ ⅔ ⅞⅝Ĥ⅝⅔ ×⅔⅝≈>⅞ =¾−⅘% ⅔+≠⅞⅞ ≥‰⅔≠≈ ‰≈H ≈‰÷⅔≥⅘++≈∫ = −⅚+ℓ ⅞ ¾⅞≠⅞⅘¾⅔≠ℓ ÷⅞=≈+‰− H = ¾‰÷⅔Ĥ × ⅘+⅞√ ⅞ ⅔ ⅘+∞‰⅞> ⅜÷⅔⅗−±⅘++ℓ> ‰⅔ +⅘% ⅞ ⅝− −≠⅞=≠−⅗− ⅘≠⅔ ⅔Ħ ⅔≠⅘ −+⅔ ×÷⅞‰−=+≈ ⅔=∞ ⅗≈⅖⅔ ⅞ ‰ >−Ĥ −⅜+−% ×−¾⅘÷>+−=≠⅞ ⅞ ≤≠−Ĥ≠− ×÷−≥⅘×≠⅔ ⅔ +⅔ +⅘⅞⅝¾⅘=≠+− √⅝ℓ‰⅘Ħ ₍ ∂≠−≠ − ⅘+≠H ≥‰⅔≠≈ ‰⅔ −≠−⅝¾⅔ ⅔=∞ ¬⅘ ≤‰− ⅞ ⅘Ω ‰÷ℓ≥‰⅔ ⅔‰‰≈÷⅔≠+− −≠−≥ ⅔ ¾¾⅘÷>Ħ − ⅔+⅜⅔ ÷⅔=×⅔>+≈ ⅔ ≥‰⅔≠≈ ‰≈ ×−≥⅞÷⅘ ⅞ ×÷−≠√+≈ ⅔ ⅘Ω ¾−⅚⅜∫Ħ Ĥ ⅔ +≈⅚+−H ≤≠−⅖ℓ ¾ℓ =−>÷⅔+⅞ ⅞ ≈ =⅘⅖√ ¾−≠ ∂≠−Ħ ₋÷⅔%√ ×−= −≠÷⅘ ¾−¾+≈≠÷∞H ⅝⅔≠⅘ ×−‰⅔⅝⅔ =−⅜⅘÷⅚⅞ −⅘ ⅘=≠⅘÷≈ ⅞H +⅔‰−+⅘±H ×⅘÷⅘⅜⅔ ⅘Ω ≥⅔ ⅔+≈Ħ ₍⅞÷⅜≈‰ −>+≈ ⅞H ⅝⅔×≈=≠⅞¾ ÷≈‰≈H ¾ℓ≈⅜⅞ ⅞⅝ ≥‰⅔≠≈ ‰⅞ =≠÷⅔++ℓ% ×÷⅘⅜ ⅘≠Ħ ⅔ ⅔=≈ ⅖ℓ − ≤⅘÷≠−¾=‰⅞ +⅘≈⅜−⅖+− =⅞⅜⅘≠∞ ¾ ‰≈=≠⅔>H ‰ ≠− ≈ ⅚⅘H −+ ⅜−¾− ∞+− =⅞ ∞+− ×÷− −‰ −≠ ÷−=ℓH ‰−Ĥ ≠−÷⅔√H ‰⅔‰ ⅞⅝¾⅘=≠+−H ¾ ⅞⅗⅖− ¾ℓ×⅔⅜⅔ ⅔ +≈ −≤⅘+∞ ≈⅚ ⅖− ∞≥⅔√Ħ −∂≠− ≈ −+ +⅘÷¾+− ⅝⅔Ω÷⅝⅔ H =≠⅔÷⅔√=∞ +⅘ ⅝⅔≥≈ ⅘≠∞ ⅞ +⅘ ×÷⅞¾ ⅘‰⅔≠∞ ‰ =⅘⅖⅘ ¾+⅞ ⅔+⅞⅘H +− ¾=⅘Ĥ⅚⅘ = −⅗ ÷⅔== −≠÷⅘≠∞H ≤≠− ⅜⅘÷⅚⅔ ≈ =⅘⅖√ ¾ ÷≈‰⅔> ⅘⅗− ≈≤⅞≠⅘ ∞Ħ ⅕≠− ⅖ℓ =≠÷⅔++ℓ% ⅘≠⅔ ⅞≤⅘=‰⅞% ≠÷⅘≈⅗− ∞+⅞‰H ×− <−÷ ⅘ +⅔×− ⅞+⅔∫¬⅞% ‰≈=−‰ ×⅞÷−⅗⅔ Ĥ −⅜+⅔ ⅞⅝ ⅗÷⅔+⅘% ∂≠−⅗− ≠÷⅘≈⅗− ∞+⅞‰⅔ ⅝⅔‰÷≈⅗ √ ⅔=∞Ħ ≠÷⅔++ℓ% ×÷⅘⅜ ⅘≠ ⅖ℓ ¾⅘=∞ ⅞=×⅞=⅔+ +⅘⅞⅝¾⅘=≠+ℓ ⅞ ÷≈+⅔ ⅞ ⅞ =⅞ ¾− ⅔ ⅞H ⅔ ¾ ⅘⅗− ±⅘+≠÷ ⅖ℓ ¾⅜⅘ ⅔+ ⅖− ∞≥−% ‰⅔ ⅘≥⅘‰ √+≠⅔÷+−Ĥ⅝⅘ ⅘+−⅗− ±¾⅘≠⅔Ħ

≠÷Ħ ĨĬ

₍⅘=∞ ⅔÷≠⅘<⅔‰≠ ×⅘÷⅘ ⅞¾⅔ =√ ⅞=≠⅞≤⅘=‰⅞ ⅚⅘ ≠ℓ =¾⅘≠− ⅞ ⅔ ∂≠− ⅖ℓ ⅔ √¾+− +⅘ ×÷−=≠⅔√ ¾⅘¬⅞±⅔Ħ

⅔= −⅗ ×−=≠⅔¾⅞≠∞ ≤≠− ≈⅗−⅜+− +⅔ ≠−H ≤≠−

Ĥ ⅕≠−ĦĦĦ Ĥ +⅔≤⅔ H ×−⅜⅖⅞÷⅔√ = −¾⅔H ≥⅔ ⅔+Ħ Ĥ ⅔Ħ ⅕≠− <÷⅔⅗ ⅘+≠ ≠−⅗− =⅔ −⅗− ⅘⅜⅔ ∞−+⅔H Ĥ ×⅘÷⅘⅖⅞ ⅔ =≠⅔÷⅞‰⅔ − ⅔+⅜⅔H ×−= −≠÷⅘¾ ⅘ ≈ ¾ ⅗ ⅔⅝⅔Ħ Ĥ ₍ℓ ¾=⅘ ≠÷−⅘ +⅔¾⅘÷+√‰⅔ ⅝+⅔⅘≠⅘H ≤≠− ⅔>Ĥ ⅞=≤⅘⅝ ⅞ +⅘ ×−√¾ √ =√ ×−= ⅘⅜+⅞⅘ ⅜⅘=√≠∞ ⅘≠H −⅜+⅔‰−H =−⅗ ⅔=Ĥ +− ÷⅘¾+⅘ ≈ ×÷−÷−≤⅘=≠¾≈H ∂≠− ⅝+⅔≤⅞≠ ⅞≥∞ ≠−H ≤≠− −+ =−⅖⅞÷⅔⅘≠ =⅞ ℓ ⅜ √ −≤⅘÷⅘⅜+−⅗− ¾≠−÷⅚⅘+⅞√Ħ +⅔ ∂≠−≠ ÷⅔⅝ +⅔= = −⅚⅘≠ =×⅔=≠⅞ ⅞≥∞ ⅘⅜⅔ ∞−+ ⅞ ℓĦ ℓ ÷⅘≥⅞ ⅞H ≤≠− ⅖≈⅜⅘≠ ≈≤≥⅘H ⅘= ⅞ <÷⅔⅗ ⅘+≠ℓ ¾ ±⅘Ĥ √> ⅖⅘⅝−×⅔=+−=≠⅞ ×−⅖≈⅜≈≠ ⅜− −≤⅘÷⅘⅜+−⅗− ×÷⅘⅜=‰⅔⅝⅔++−⅗− ×÷⅞≥⅘=≠¾⅞√ ÷⅘¾+⅘⅗− ≈ ×√≠⅞ ⅞⅝⅖÷⅔++ℓ> +⅔ ⅞ ÷⅔=Ħ ₍−√‰⅔ ⅘=≠⅘÷ +⅘−⅜−⅖÷⅞≠⅘ ∞+− ×−‰⅔≤⅔ ⅗− −¾−% Ĥ ¾−%+⅔ ⅖ℓ ⅔ ≠⅘ H ¾ ≤⅘ −+ −⅜⅞+ ⅞⅝ ¾=⅘% ⅜⅘÷⅘¾+⅞ ×÷⅘Ĥ ‰÷⅔=+− ÷⅔⅝⅖⅞÷⅔ =√H +− ¾=⅘Ĥ≠⅔‰⅞H ⅞⅜⅘√ − ⅔+⅜ℓ ⅘ ≈ ≤⅘÷≠−¾=‰⅞ +⅘ ×−+÷⅔¾⅞ ⅔=∞Ħ Ĥ −⅜−⅚⅜⅞≠⅘H ¾ℓ >−≠⅞≠⅘ =‰⅔⅝⅔≠∞H ≤≠− ¾−≠ ≠⅔‰ ×÷−=≠− ÷⅔⅝⅜⅘ ⅞ ⅞ ⅘⅜⅔ ∞−+H =×−=−⅖+ℓ% =⅜⅘ ⅔≠∞ ⅔>Ĥ ⅔ = ⅘÷≠+ℓ H ⅞ =−⅖⅞÷⅔⅘≠⅘=∞ ÷⅔⅝⅜⅔≠∞ ¾=⅘ <÷⅔⅗ ⅘+≠ℓĹ ₍ ≤⅘ = ℓ= Ĺ ₍⅘⅜∞ ×÷⅞ +⅔×⅔⅜⅘+⅞⅞ ₌⅘== ⅘÷≠+−⅗−H +≈⅚+− ⅖≈⅜⅘≠ =−⅖⅞÷⅔≠∞ ¾=⅘ ≤⅔=≠⅞ ¾−⅘⅜⅞+−H ⅔ ∂≠− −≠+⅞ ⅘≠ ⅔ −Ĥ ⅔ ∞=‰⅞ =⅘÷∞⅘⅝+−⅘ ⅞ +⅘−×÷⅔¾⅜⅔++−⅘ ¾÷⅘Ĥ √Ë −≤⅘ ≈ ⅖ℓ ¾⅔ +⅘ >÷⅔+⅞≠∞ ⅘⅗− ≈ =⅘⅖√Ĺ Ĥ ⅔>Ĥ ⅔ +⅘ =≠−⅞≠ +⅘⅜−−±⅘+⅞¾⅔≠∞H ⅔ ⅘+∞‰⅞% =⅞ ⅖⅔H Ĥ +⅘−⅚⅞⅜⅔++− ⅜ √ ¾=⅘> ×÷−⅞⅝+⅘= −⅜⅞+ ⅞⅝ =⅞÷⅞⅔+Ĥ ±⅘¾Ĥ−>÷⅔++⅞‰−¾ − ⅔+⅜ℓ ⅞ ×−⅜+√ =¾−Ω ⅖ ⅘⅜+−⅘ ⅞±−Ħ ⅔ ⅔= ≈¾⅞⅜⅘ H ‰⅔‰ ⅞±− ≈⅚≤⅞+ℓ ×⅘÷⅘=⅘‰⅔⅘≠ ⅜ ⅞++ℓ% ≥÷⅔ Ĥ ⅖⅘ ℓ% ÷≈⅖⅘±H +⅔≤⅞+⅔∫¬⅞%=√ −≠ ⅘¾−⅗− ¾⅞=‰⅔ ⅞ ⅞=≤⅘⅝⅔¾≥⅞% ≠− ∞‰− ≈ ×−⅜⅖−÷−⅜‰⅔Ħ Ĥ ₌⅘== ⅘÷≠+ℓ% ×÷⅘‰÷⅔=+− ⅝+⅔⅘≠ − ⅘⅜⅔ ∞−+⅘H ⅞ ⅘ ≈ ⅖≈⅜⅘≠ ⅗−÷⅔⅝⅜− ⅘⅗≤⅘ ⅝⅔⅖÷⅔≠∞ ⅘⅗− ≈ +⅔=H Ĥ ×÷−⅜− ⅚⅞ =⅞÷⅞⅔+⅘±H Ĥ ¾ = ≈≤⅔⅘ +−¾−⅗− ¾≠−÷⅚⅘+⅞√H −+ ¾ ×⅘÷¾≈∫ −≤⅘÷⅘⅜∞ ⅖÷−=⅞≠ ¾=⅘ =¾−⅞ =⅞ ℓ +⅔ ≈+⅞≤≠−⅚⅘+⅞⅘ ⅞Ĥ ÷⅞≈=⅔Ħ ⅘ ≈ +⅔¾÷√⅜Ĥ ⅞ ×÷⅞⅜⅘≠ ¾ ⅗− −¾≈ ℓ= ∞ ⅞=‰⅔≠∞ ⅘⅜⅔ ∞−+ +⅔ ⅜÷≈⅗⅞> × ⅔+⅘≠⅔>H ⅜⅔ ⅘¬⅘ ⅞ ‰ ≠− ≈ ⅚⅘ ÷⅔⅝⅜⅘ ⅘++ℓ% +⅔ ≤⅔=≠⅞Ħ Ĥ − ¾ℓ ×−+⅞ ⅔⅘≠⅘H ≤≠− ×−⅜=≠⅔¾ √⅘≠⅘ +⅔= ×−⅜ ≈⅜⅔÷Ĺ Ĥ ¾⅝−÷¾⅔ =√ ⅘=≠⅘÷Ħ Ĥ ≠− ⅘= ⅞ −+ ¾=⅘Ĥ≠⅔‰⅞ ≈⅝+⅔⅘≠ − ≠− H ⅗⅜⅘ =×÷√≠⅔+ℓ <÷⅔⅗ ⅘+≠ℓĹ ⅔ −+ +⅔= ¾=⅘> ¾ ×−÷−≥−‰ =−≠÷⅘≠Ë ₍⅔= +⅘ ¾− +≈⅘≠ +⅔≥⅔ ⅚⅞⅝+∞H ⅚⅞⅝+∞ +⅔≥⅞> ⅜⅘≠⅘% ⅞ ¾+≈‰−¾ĹË ⅕≠− ⅚⅘ =⅔ −⅘ +⅔=≠−√¬⅘⅘ ⅖⅘⅝≈ ⅞⅘Ë Ĥ ⅕≠− =×⅔=⅘+⅞⅘ ¾=⅘% ⅗⅔ ⅔‰≠⅞‰⅞Ë Ĥ +⅘ ¾ℓ⅜⅘÷⅚⅔¾ ≠⅔‰−⅗− +⅔⅘⅝⅜⅔ =− =≠−÷−+ℓ ⅔ ⅘+∞‰−⅗− =⅞+⅘+∞‰−⅗− ≤⅘ −Ĥ ¾⅘≤‰⅔H ÷√¾‰+≈ ¾−⅞+ =− ≥÷⅔ − +⅔ ⅞±⅘Ħ − ⅔+⅜⅔ ¾=≠÷⅘¾−⅚⅘+− ×−= −≠÷⅘ ⅔ +⅔ +⅘⅗− ⅞ ¾⅝√ ⅔ ⅘⅗− ⅝⅔ ÷≈‰≈Ħ ≈⅚≤⅞+⅔ ×−‰−=⅞ =√ +⅔ =≠⅔÷⅘%≥⅞+≈ ⅞ = ⅞÷⅘++− −×≈=≠⅞ ⅗− −¾≈Ħ Ĥ + ×÷⅔¾H ⅘=≠⅘÷H Ĥ ¾⅝√ = −¾− ¾−⅚⅜∞H ×−Ĥ×÷⅘⅚+⅘ ≈ =×−‰−%+− ÷⅔=‰≈÷⅞¾⅔√ ≠÷≈⅖‰≈Ħ Ĥ ⅘ ⅔+⅞⅘ =≠⅔÷⅘%≥⅞+ −¾⅘≠⅔ ⅞÷⅞≈=⅔ ⅜ √ +⅔= Ĥ ⅝⅔‰−+Ħ Ĥ −÷−≥−H Ĥ +⅘ ≈+⅞ ⅔ =√ ⅘=≠⅘÷H Ĥ ⅜−×≈=≠⅞ H =×÷√≤⅘ ℓ ∂≠≈ ¾⅘¬⅞±≈Ħ − ×−≤⅘ ≈ ⅖ℓ ¾⅔ +⅘ ¾⅝√≠∞ ⅞ ×÷√Ĥ − =⅘%≤⅔= +⅘ ⅔‰≠⅞¾⅞÷−¾⅔≠∞ ⅘⅜⅔ ∞−+Ĺ Ĥ ₍−Ĥ×⅘÷¾ℓ>H Ĥ ≠⅘÷×⅞ − ×÷−⅞⅝+⅘= ⅔ − ⅔+⅜⅔H Ĥ +⅔ ×−⅜⅝⅔÷√⅜‰≈ ⅘⅜⅔ ∞−+⅔ Ē=⅞ −%Ē ≈%⅜⅘≠ −≤⅘+∞ +−⅗− ¾÷⅘ ⅘+⅞H ×÷⅞ ⅘÷+− İĤĮ ±⅞‰ −¾ĜÍ ±⅞‰ Ķ ÍÌ ⅝⅘ +ℓ> ⅘≠ ×÷⅞ Ħ ⅔¾≠−÷⅔ĞH ≠⅔‰ ≤≠− ℓ ×−×÷−=≠≈ +⅘ −Ĥ ⅚⅘ ⅞=×− ∞⅝−¾⅔≠∞ ⅘⅗− =⅘%≤⅔=Ħ −‰⅔ ¾ℓ ⅖≈⅜⅘≠⅘ −>÷⅔+√≠∞ ⅘⅗− ≤⅔=≠⅞H −+⅞ ⅖≈⅜≈≠ ⅝⅔÷√⅚⅔≠∞=√ ⅞ ×−⅜×⅞≠ℓ¾⅔≠∞Ĥ =√Ħ ₍−Ĥ¾≠−÷ℓ>H ⅜⅔⅚⅘ ⅘= ⅞ ⅖ℓ ℓ −⅗ ⅞ =⅜⅘ ⅔≠∞ ⅔>Ĥ ⅔ ⅖⅘== ⅘÷≠+ℓ ¾ ⅜⅔++ℓ% − ⅘+≠H ∂≠− ¾=⅘ ÷⅔¾+− ⅖ℓ +⅞≤⅘⅗− +⅘ ⅜⅔ −Ħ ℓ ≠⅔‰ ⅞ +⅘ ⅝+⅔⅘ H ¾ ‰⅔‰−% ≤⅔=≠⅞ ¾=⅘ ⅘++−% ÷⅘¾+⅞% =‰÷ℓ¾⅔⅘≠=√ ×−= ⅘ ×−÷⅔⅚⅘+⅞√ ¾ ×÷⅘⅜ℓ⅜≈¬⅘% =>¾⅔≠‰⅘Ħ ₍⅜−⅖⅔¾−‰ ‰ ∂≠− ≈H +⅔≥⅞ ¾−%=‰⅔ ⅜− =⅞> ×−÷ +⅘ −⅗≈≠ −×÷⅔¾⅞≠∞=√ ×−= ⅘ ≠−% ⅖−%+⅞ ×−⅜ ₌⅘≠⅘ ∞⅗⅘%⅝⅘Ħ ⅞= − ×−⅗⅞⅖≥⅞> ⅞=≤⅞= √⅘≠=√ =−≠+√ ⅞ ≠ℓ=√≤H ‰ ≠− ≈ ⅚⅘H ℓ ×−≠⅘÷√ ⅞ ×−≤≠⅞ ¾=⅘> ⅞Ĥ ‰⅞> ĦĦĦ ₍ ∂≠−≠ − ⅘+≠ −+⅔ =⅜⅘ ⅔ ⅔ ×⅔≈⅝≈ ⅞ ×−= −≠÷⅘ ⅔ +⅔ =¾−⅘⅗− =⅗−÷⅖⅞¾≥⅘⅗−=√ ¾−⅞+⅔ =− ≥÷⅔ − +⅔ ⅞±⅘Ħ Ĥ ÷− ⅘ ⅘ ⅘÷⅔Ħ + ⅘⅜⅞+=≠¾⅘++ℓ%H ‰− ≈ ≈⅜⅔ −=∞ −=≠⅔≠∞=√ ¾ ⅚⅞¾ℓ>Ħ ⅗− ≥÷⅔ ⅜− =⅞> ×−÷ +⅔×− ⅞+⅔⅘≠ +⅔ − ≠⅘> ÷⅔≤+ℓ> =−⅖ℓ≠⅞√>ĦĦĦ

≠÷Ħ Ĩİ

⅘ ⅘÷H − ‰−≠−÷− ⅞ ≥ ⅔ ÷⅘≤∞H ⅜⅘ −+=≠÷⅔≠⅞¾+− ⅝⅔=−×⅘ Ĥ ⅘ ≈ √¾+− +⅘ +÷⅔¾⅞ ⅔=∞ ∂≠⅔ ≠⅘ ⅔H ⅞H =≈⅜√ ×− ¾=⅘Ĥ ≈H − ⅔+⅜⅔ ⅝⅔ ⅘≠⅞ ⅔ ∂≠−H ⅔ ×−≠− ≈ =÷⅔⅝≈ ⅚⅘ ×⅘÷⅘¾⅘ ⅔ ÷⅔⅝⅗−¾−÷ ¾ ⅜÷≈⅗−⅘ ÷≈= −Ħ Ĥ ₍ ⅞≠−⅗⅘ ≈ +⅔= −=≠⅔⅘≠=√ ⅘⅜⅞+=≠¾⅘++⅔√ +⅔⅜⅘⅚⅜⅔ +⅔ ≠−H ≤≠− ℓ = −⅚⅘ =⅖⅘÷⅘≤∞ <÷⅔⅗ ⅘+≠ℓ ⅘⅜⅔ ∞−+⅔ >−Ĥ ≠√ ⅖ℓ ⅜− ≠−⅗− − ⅘+≠⅔H ‰⅔‰ ×÷⅞⅜⅘≠ ⅝⅖÷⅔++ℓ%Ħ Ĥ ⅝⅖÷⅔++ℓ%Ĺ Ĥ +⅘⅜−≈ ⅘++− =×÷−=⅞ ⅘=≠⅘÷Ħ Ĥ ℓ ¾⅞⅜⅞ − +⅘ ¾ ‰≈÷=⅘ ÷⅘¾+⅘⅗− ×÷−÷−≤⅘=≠¾⅔H Ĥ = ⅘⅗‰−% ×÷⅞ ⅘=∞∫ =⅔÷‰⅔⅝ ⅔ ¾ ⅗− −=⅘ ×÷−⅖−÷ −≠⅔ ₍⅞÷⅜≈‰ ⅞ ×−‰−=⅞ =√ +⅔ =−⅖⅘=⅘⅜+⅞‰⅔Ħ Ĥ ⅔¾⅔%Ĥ‰⅔ √ ≠⅘⅖⅘ ÷⅔==‰⅔⅚≈Ħ ⅔ ⅔=H =⅞⅜⅘¾≥⅞% ¾ ‰≈=≠⅔>H ≈⅚⅘ −≠⅜⅔¾⅞ =⅘⅖⅘ +−⅗≈H +− = −¾⅔ −⅖ ⅝⅖÷⅔++− ⅝⅔=≠⅔¾⅞ ⅞ ⅘⅗− ⅝⅔⅖ℓ≠∞ − ⅖− ⅞ ⅞ ÷⅔=≠−×ℓ÷⅞≠∞ ≈≥⅞Ħ Ĥ ℓ +⅔¾⅘÷+√‰⅔ ⅝+⅔⅘≥∞ − ÷⅘¾+⅘ ×÷−÷−≤⅘=≠¾⅘H +⅔%⅜⅘++− +⅔≥⅞ ⅞ ×−‰÷−¾⅞≠⅘ √ ⅞ =⅞÷⅞⅔+±⅔ ⅞H Ĥ ≥⅔Ĥ ⅔+ =⅜⅘ ⅔ ⅔ ⅘+∞‰⅞% ×−≤≠⅞≠⅘ ∞+ℓ% ‰⅞¾−‰ ¾ =≠−÷−+≈ ⅗−=≠⅘%H Ĥ +⅔ −=≠⅔+‰⅔> −⅜+−% ⅞⅝ =≠⅔÷⅘%≥⅞>H +− ×− +⅘×−+√≠+ℓ ×÷⅞≤⅞+⅔ ⅞=≤⅘⅝+≈¾≥⅘% ⅞ ×⅘÷⅞⅞ ¾ ⅜⅔ ⅘‰⅞> ≈⅗− ‰⅔> ¾=⅘ ⅘++−%Ħ ⅕≠− ×÷−÷−≤⅘=≠¾− −×⅞=ℓ¾⅔Ĥ − +−⅚⅘=≠¾− =−⅖ℓ≠⅞%H ‰⅔=⅔∫¬⅞>=√ +⅔≥⅘⅗− ⅖≈⅜≈¬⅘⅗−H ⅖≈⅜≈¬⅘⅗− +⅔≥⅘% ⅗⅔ ⅔‰≠⅞‰⅞ ⅞ −=−⅖⅘++− ⅔>Ĥ ⅔Ħ ₌− ∞≥≈∫ ≤⅔=≠∞ ×÷−÷−≤⅘=≠¾⅔ ≈⅜⅔ −=∞ ×⅘÷⅘¾⅘=≠⅞ +⅔ +⅔≥ √⅝ℓ‰H ⅞ ×÷⅔‰≠⅞≤⅘=‰⅞ ¾=⅘ =−⅖ℓ≠⅞√H −×⅞=⅔++ℓ⅘ ≠⅔ H ⅞=×− +√ ⅞=∞Ħ ÷−¬⅘ ⅗−¾−÷√H ≠⅔ ⅖ℓ − ÷⅔==‰⅔⅝⅔+− ¾=ΩĦ ⅜+⅔‰−H ≤⅔=≠∞ ×÷−÷−≤⅘=≠¾⅔ −=≠⅔ ⅔=∞ +⅘×⅘÷⅘Ĥ ¾⅘⅜⅘++−%ĦĦĦ ⅜− +⅘⅜⅔¾+⅘⅗− ¾÷⅘ ⅘+⅞Ħ ≠⅔÷⅘%≥⅞+⅘ − ⅔+⅜⅘ =− =¾−⅞ ⅞ ⅖÷⅔≠∞√ ⅞ ⅔⅜⅚⅞¾− ⅞ ⅚⅘⅖⅘⅜⅞⅘% ≈⅜⅔ −=∞ +⅔%≠⅞ ‰ ∫≤ ‰ ⅝⅔≥⅞<÷−¾⅔++−% ≤⅔=≠⅞ ×−= ⅔+⅞√Ħ ₍ +⅘% ⅗−¾−÷⅞ −=∞ − ≠− H ≤≠− ⅞⅝ ⅜⅔ ⅘‰−%Ĥ⅜⅔ ⅘‰−% ₎⅔ ⅔‰≠⅞‰⅞H = +⅘⅖− ∞≥−% ⅝⅘ ⅘+−% × ⅔+⅘≠ℓ ×÷⅞⅖≈⅜⅘≠ ⅝⅖÷⅔++ℓ%H ‰−≠−÷ℓ% −=¾−⅖−⅜⅞≠ ¾=⅘ ⅘++≈∫ −≠ ⅜÷⅘¾Ĥ +⅘⅗− ⅝ ⅔ ×−= ⅘⅜+⅘⅗− ₌⅘== ⅘÷≠+−⅗−Ħ =−⅚⅔ ⅘+⅞∫H ‰−⅗⅜⅔ ⅞ ⅘++− ×÷⅞⅜⅘≠ ∂≠−≠ ⅝⅖÷⅔++ℓ% ¾ ÷−÷−≤⅘Ĥ =≠¾⅘ +⅘ =‰⅔⅝⅔+−H +− +⅔ ‰⅔⅚⅘≠=√H ≤≠− ⅞ ⅘++− ⅘ ≈ ×÷⅘⅜=≠−⅞≠ ¾ = ⅘⅜≈∫¬⅞% ÷⅔⅝ =−⅖÷⅔≠∞ ¾=⅘ ≤⅔=≠⅞ ⅘Ĥ ⅜⅔ ∞−+⅔ ⅞ ≈⅖⅞≠∞ ⅔>Ĥ ⅔Ħ − ⅔+⅜⅔H ‰−≠−÷⅔√ ¾=⅘Ĥ∂≠− ¾÷⅘ √ − ≤⅔ ⅔ ⅞ ≤⅘÷≠⅞ ⅔ ≤≠−Ĥ≠− ×⅔ −≤‰−% +⅔ −=≠ℓ¾≥⅘% ⅝− ⅘H +⅘−⅚⅞⅜⅔++− ×−⅜+√ ⅔ ÷≈‰≈ ¾¾⅘÷> ⅞ =⅜⅘ ⅔ ⅔ ÷⅔==⅘‰⅔∫¬⅞% ¾−⅝⅜≈> ‰÷≈⅗−¾−% ⅚⅘=≠Ħ − ⅔ ¾⅞>÷⅘ ×−⅜+√ ⅔=∞ ¾¾⅘÷> ⅞ ⅝⅔Ĥ =⅞√ ⅔ =⅞+⅞ =¾⅘≠− H ⅝⅔=≠⅔¾⅞¾ ¾=⅘> +⅔>−⅜√¬⅞>=√ ¾ ∂≠−≠ − ⅘+≠ +⅔ × −¬⅔⅜⅞ Ĝ¾‰ ∫≤⅔√ ×÷⅞≠⅞>≥⅘⅗− ⅔ ⅔Ĥ =⅔Ğ ÷⅔=‰÷ℓ≠∞ ÷≠ℓĦ ⅞√∫¬⅘⅘ −⅖ ⅔‰−H ×⅘÷⅘ ⅞¾⅔√=∞ ¾=⅘ ⅞ −≠≠⅘+‰⅔ ⅞ ÷⅔⅜≈⅗⅞H =≠⅔ − −⅖÷⅘≠⅔≠∞ <−÷ ≈ +⅘‰−% <⅞⅗≈÷ℓĦ ×≈=≠√ ×⅔÷≈ =⅘‰≈+⅜ ⅗ ⅔⅝⅔ +⅔⅖ ∫⅜⅔≠⅘ ⅘% ×÷⅘⅜=≠⅔ √÷‰⅞% −⅖÷⅔⅝ ¾ℓ=−‰−⅗−H ≥⅞÷−‰−× ⅘≤⅘⅗− ⅞ ≈=‰≈ ⅞=≠−⅗− ≈⅚≤⅞+ℓ = ÷⅔=≠÷⅘×⅔++−% ≥⅘¾⅘ ∫÷−% ⅞ =≠÷⅔++ℓ ⅝+⅔‰− +⅔ ⅗÷≈⅜⅞H ≠⅔‰ +⅔×− ⅞+⅔∫¬⅞ ⅔ ≈ ⅘≠ +⅔ ≥⅘⅘ − ⅔+⅜ℓĦ ¬⅘ ⅞⅗ Ĥ ⅞ ⅝− ⅔H ×−≠≈>+≈¾H × ⅔¾+− −×≈=≠⅞ ⅔=∞ ¾+⅞⅝H ⅝⅔×⅘≤⅔≠ ⅘¾ −⅖÷⅔⅝ ⅝⅖÷⅔+Ĥ +−⅗− ¾ ⅗ ⅔⅝⅔> =⅞⅜√¬⅞> ≈ ‰−=≠÷⅔ =⅞ ⅖Ħ Ĥ ₍ℓ −⅚⅘≠⅘ ×− −⅚⅞≠∞=√ +⅔ +⅔=H =≠⅔÷⅘%≥⅞+⅔H Ĥ ‰⅞¾+≈ ⅗− −¾−% ¾−⅚⅜∞ ₋÷⅔%√ ×−= ⅘ +⅘⅖− ∞≥−% ×⅔⅝≈ℓH +⅔‰−+⅘±Ĥ≠− ⅝⅔≠≈≥⅞¾ =¾−∫ ≠÷≈⅖‰≈H Ĥ ℓ ⅖≈⅜⅘ >÷⅔+⅞≠∞ ∂≠≈ ≤⅔=≠∞ ⅘⅜⅔ ∞−+⅔ ≠⅔‰ =⅞ ∞+−H +⅔=‰− ∞‰− ∂≠− ¾−⅝ −⅚+− ¾ +⅔≥⅞> =⅞ ⅔>Ħ − ⅔+⅜⅔ ×÷⅞¾=≠⅔ ⅔ ⅞ = ≈ ℓ⅖‰−% −≠¾⅘=⅞ ⅔ ⅖ ⅔⅗−⅜⅔÷=≠¾⅘++ℓ% ×−‰ −+ =⅞ ⅖⅔ Ħ Ĥ ⅔ ¾⅔= ¾−⅝ ⅔⅗⅔⅘≠=√ ⅖− ∞≥⅔√ ≤⅔=≠∞H ₍⅞÷⅜≈‰H ≠⅘×⅘÷∞ ¾ℓ Ĥ −⅜⅞+ ⅞⅝ ÷⅔+⅞≠⅘ ⅘% ≠−⅗−H ≤≠− = −⅚⅘≠ =×⅔=≠⅞ +⅔= ¾=⅘> ⅞ ⅜⅔≠∞ ⅚⅞⅝+∞ +−⅗⅞ ⅞÷+ℓ ÷⅔=⅔ ¾− ¾=⅘ ⅘++−%H Ĥ ≠−÷⅚⅘=≠¾⅘++− −⅖÷⅔≠⅞ ⅔=∞ −+⅔ ‰ ≥⅔ ⅔+≈H ⅞ ≠−≠ ×−+⅞ ⅔∫¬⅘ ⅝⅔‰⅔≤⅔ ⅗− −¾−%Ħ ⅔≠⅘ =⅞÷⅞⅔+±ℓ ×−=×⅘≥+− +⅔‰⅞+≈ ⅞ +⅔ ⅗− −¾ℓ ‰⅔×∫≥−+ℓ ⅞ ≈⅚⅘ ⅖ℓ − ⅜¾⅞+≈ ⅞=∞ ‰ =¾−⅞ ⅗÷⅞<⅔ H ‰⅔‰ ¾⅜÷≈⅗ĦĦĦ ⅘ +−≠⅔H ±⅔÷⅞¾≥⅔√ ⅝⅔ ×÷⅘⅜⅘ ⅔ ⅞ ‰−=≠÷⅔H ⅝⅔⅜÷−⅚⅔ ⅔ ⅞ ¾ +⅘% −≠≤⅘≠ ⅞¾− ×÷−√¾⅞ ⅞=∞ ⅜¾⅔ ⅝ −⅖+ℓ> ‰÷⅔=Ĥ +ℓ> ⅝÷⅔≤‰⅔Ħ

÷−⅜− ⅚⅘+⅞⅘ = ⅘⅜≈⅘≠ĦĦĦ

≠÷Ħ ĨĮ

Ċ

Ċ

≈≤ ⅔⅝⅘÷⅔ ≤⅞÷‰+≈ ×− × ⅘≤≈H −=≠⅔¾⅞¾ ‰÷−¾−≠−≤⅔¬⅞% = ⅘⅜ +⅔ <≈≠⅖− ‰⅘Ħ ∂ ⅝⅔⅚⅘⅗ =⅞⅗⅔÷≈H ¾ℓ×≈=≠⅞ −⅖ ⅔≤‰− ⅜ℓ ⅔ ⅞ ‰÷⅞¾− ≈> ℓ ∞+≈ =√ ≈ ≤≠−H ⅜⅘¾−≤‰⅞H ×−≠⅔+±≈⅘ Ĺ ×⅘÷⅘⅜⅞ ÷⅔⅝⅜⅔ =√ ‰÷⅞‰ ‰⅔ ⅞‰⅔⅜⅝⅘ ⅞ +⅔ ×− ⅘ ⅖−√ ¾ℓ=‰−≤⅞ −≠÷√⅜ ⅖⅘⅝⅗− −¾ℓ> ⅝− ⅖⅞H =≈¬⅘=≠¾⅘++− ×−×− +⅞¾ ÷√⅜ℓ ¾÷⅔⅗−¾Ħ ⅞+⅞⅗⅔+ ⅝⅔×⅘ ¾ ÷≈‰⅔> ⅗⅘÷−√H ¾ℓ× ⅘¾ℓ¾⅔√ =¾⅞+⅘± ₋>⅔>⅔H +⅘ +÷⅔¾⅞≠=√Ĺ ₋ ¾−≠ +⅘ ⅘ =≈ĦĦ Ħ⅖ ¾ℓ⅘Ë ÷≈⅗− ÷⅔⅝⅜⅔¾⅔ ⅞=∞ ¾⅝÷ℓ¾ℓH −⅖÷ℓ¾⅔√ <÷⅔⅝ℓ +⅔ ×− ≈= −¾⅘Ħ ĠĠĠ ⅘+⅝≈÷⅔ ∂≠− ×−+√≠⅞⅘ +⅘+⅔¾⅞⅜⅞≠ ⅖− ∞≥⅞+=≠¾− × ⅔+⅘≠ ∂≠−% ¾=⅘ ⅘++−%H ⅞ +⅘ +−⅗− × ⅔+⅘≠ +⅘ ∂≠−%Ħ ₍⅘⅜∞H ≤≠− ⅘=≠∞ ¾⅘ ⅞≤⅔%≥⅔√ ±⅘++−=≠∞ ÷⅔⅝≈ +−% ⅚⅞⅝+⅞H ‰⅔‰ +⅘ =¾−⅖−⅜⅔ =⅔ −¾ℓ÷⅔⅚⅘+⅞√Ĺ ⅘Ĥ ⅜≈√ ∂≠− ≈ +⅘⅜¾≈= ℓ= ⅘++− ≈ ¾ℓ¾−⅜≈H ×÷⅞+√≠− ≈ +⅔ ÍÌ ⅘⅚⅗⅔ ⅔‰≠⅞≤⅘=‰− =℮⅘⅝⅜⅘H ¾=⅘ × ⅔+⅘≠ℓH ×÷⅞⅜⅘÷⅚⅞¾⅔∫¬⅞⅘=√ ⅜÷≈⅗⅞> ×÷⅔¾⅞ ∂≠⅞‰⅞H =≤⅞≠⅔∫≠=√ ⅞≥∞ ×− ≈÷⅔⅝≈ +ℓ ⅞Ħ −≠√H =×÷⅔¾⅘⅜ ⅞¾−=≠⅞ ÷⅔⅜⅞H = ⅘⅜≈⅘≠ ×÷⅞⅝+⅔≠∞H ≤≠− ≠⅘ +⅘ +−⅗⅞⅘ × ⅔+⅘≠ℓH ≤≠− +⅘ −¬≈≠⅞ ⅞ ⅖ ⅔Ĥ ⅗⅔ =¾−⅖−⅜ℓ =⅔ −¾ℓ÷⅔⅚⅘+⅞√H ×÷⅞+√¾≥⅘⅗− <−÷ ≈ +≈⅜⅞=≠=‰−% ×∞√+‰⅞H ≠−≤+− ≠⅔‰⅚⅘ ⅗−¾−÷√≠ −⅖ ⅔+≠⅞±⅘+⅝−÷⅔>H ⅜⅘=‰⅔≠∞H =⅔ ⅞ ¾ℓ ‰−⅝ ℓĦ ₍×÷−≤⅘ H ⅘=≠∞ ⅞ ≠⅔‰⅞⅘ ⅘=≠⅔H ±⅘+⅝≈÷⅔ ‰−≠−÷ℓ> +⅘ ×−‰⅔⅚⅘≠=√ ÷⅔⅘ ⅜⅔⅚⅘ =⅔ − ≈ ×− ≈÷⅔⅝≈ +− ≈ ⅗≈ ⅔+−⅞⅜≈Ħ ⅔‰−¾⅔H +⅔×÷⅞ ⅘÷H × ⅔+⅘≠⅔ ⅔⅔⅖≈Ĥ⅔⅖≈H ⅞⅝Ĥ⅝⅔ ±⅘+⅝≈÷ℓ ‰−≠−÷−% ≠⅔ ⅖ℓ ⅔ ⅝⅔×÷⅘¬⅘+⅔ ⅖≈‰¾⅔ ⅛ H ×−Ĥ =‰− ∞‰≈ +⅔⅝¾⅔+⅞⅘ × ⅔+⅘≠ℓ ⅞⅝+⅔≤⅔ ∞+− ⅖ℓ − +⅘=‰− ∞‰− ⅞+ℓ H ≤≠− ¾ℓ⅝ℓ¾⅔ − +⅔= ⅘≥‰⅞ ≈ −=≠⅔ ∞Ĥ +ℓ> ÷⅔=H ⅞ ⅘∫¬⅞> =>−⅚⅘⅘ =≠÷−⅘+⅞⅘ = −¾ ⅞ ⅝¾≈‰−¾ = ⅝⅘ √+⅔ ⅞H ⅔ ≠⅔‰⅚⅘H ÷⅔⅝≈ ⅘⅘≠=√H +⅘‰−≠−÷ℓ> ≤⅔=≠⅘% ≠⅘ ⅔Ħ ⅘⅚⅜≈ ×÷−≤⅞ H ≤≠−⅖ℓ ⅝⅔+√≠∞=√ +⅔ ∂≠−% × ⅔+⅘≠⅘ ×÷−⅜− ⅚⅘+⅞⅘ ÷−⅜⅔H +⅘−⅖>−⅜⅞ − ⅝⅔×− +⅞≠∞ +⅘ −⅜+≈ =−≠+∫ ⅖≈ ⅔⅗H ×÷−%≠⅞ ‰≈≤≈ ⅞+=≠⅔+±⅞%H ≈¾⅘⅜− ⅞≠∞ ¾=⅘> =¾−⅞> ÷−⅜=≠¾⅘++⅞‰−¾ Ĥ ⅞ ⅚⅞¾ℓ> ⅞ ⅘÷Ĥ ≠¾ℓ> Ĥ ≤≠− ≠ℓ +⅘ +⅘=⅘≥∞ =¾−⅞ ⅞ ⅜⅘%=≠¾⅞√ ⅞ ÷⅔⅝¾÷⅔≠+−⅗− ×−⅜≠⅘‰=≠⅔Ħ

≠÷Ħ ĨIJ

⅔ ⅘⅘H −⅖℮√¾⅞≠∞ ×− ≠⅘ ⅘¾⅞⅜⅘+⅞∫H ×− ÷⅔⅜⅞−H ×−≠− ×−⅜−⅚⅜⅔≠∞ ⅘¬⅘ +⅘⅜⅘ ∞‰≈H ×−‰⅔ ¾−‰÷≈⅗ ≠¾−⅘⅗− ⅜− ⅔ +⅘ −⅖÷⅔⅝≈⅘≠=√ ⅝−+⅔ −≠≤≈⅚⅜⅘+⅞√ ⅜ ⅞+−% ¾ ‰⅞ − ⅘≠÷H ⅞ ⅝⅜⅘=∞ ⅚⅘ ⅔+⅞⅘ −⅖ℓ≤+− ×÷−×⅔⅜⅔⅘≠ =⅔ − =−⅖−% ⅞ ÷⅔⅝−≤⅔÷−¾⅔++⅔√ ¾ ⅚⅞⅝+⅞ ⅚⅘+⅔ ⅝⅔×⅞÷⅔⅘≠=√ ¾ ¾⅔++−% = −÷−⅚⅘+ℓ ¾ −⅜+−% ÷≈‰⅘ ⅞ ⅖−Ĥ ⅗⅔≠ℓ ¾−−⅖÷⅔⅚⅘+⅞⅘ ¾ ⅜÷≈⅗−%Ħ =−⅖⅘++− =≠−⅞≠ −≠ ⅘≠⅞≠∞H ≤≠− +⅔>−⅜√¬⅔√=√ ×−⅖ ⅞⅝−=≠⅞ × ⅔+⅘≠⅔ ₋ ⅘+⅘Ĥ⅔⅗+−=⅞= Ĝ₋+⅗⅘ ∞=‰−% ≠⅘÷×⅞ −=≠⅞Ğ √¾ √⅘≠=√ −⅜+⅞ ⅞⅝ =⅔ ℓ> ⅝ ⅔≤+ℓ> ⅘=≠ ¾− ¾=⅘ ⅘++−% ⅞ √¾ √⅘≠ =−⅖−% ¾⅘=∞ ⅔ ×−×≈Ĥ √÷+ℓ%H >−≠√ −≤⅘+∞ ⅜−÷−⅗−%H ‰≈÷−÷≠ ⅜ √ ×÷⅘⅜=≠⅔¾⅞≠⅘ ⅘% ⅔⅔⅖≈Ĥ⅔⅖≈Ħ ⅘++− ⅖ ⅔⅗−⅜⅔÷√ +⅘ ≈ +⅔Ĥ =⅘ ⅘+⅞⅘ × ⅔+⅘≠ℓ ⅘¬⅘ +⅘ ¾ℓ ⅘÷ − ⅞ ⅜⅔⅚⅘ ≈¾⅘ ⅞≤⅞¾⅔⅘≠ =¾−∫ ×−×≈ √±⅞∫Ħ ⅘≠⅘≠÷⅞= ₎⅞⅜ ×− ⅖⅘⅝≈ +ℓ ⅘=≠⅔ ∂≠−% ¾=⅘ ⅘++−%Ħ ĠĠĠ ₍+⅘⅝⅔×+−H =−¾=⅘ ÷√⅜− ≤≠−Ĥ≠− ÷¾⅔+≈ −H ⅞ ∂ ×−≤≈¾=≠¾−¾⅔ H ‰⅔‰ ¾⅝÷ℓ¾+⅔√ ¾− +⅔ −≠+−=⅞≠ ⅘⅗− ≠⅘ − +⅔⅝⅔⅜Ĵ ⅞+⅞⅗⅔+ ×−⅜−⅝÷⅞≠⅘ ∞+− ⅘⅜ ⅘++− −≠ ⅘≠⅘ ¾ =≠−÷−+≈H ¾÷⅘ √ ‰⅔‰ ⅖≈⅜≠− ⅘ ⅘ ×− ⅝ − ⅞⅗⅔÷⅔H −=≠⅔¾ √√ ⅜ℓ √¬⅞%=√ = ⅘⅜H ≤⅞÷‰+≈ ⅔ ⅗⅘÷−√ ×− +−=≈H ≤≠− ⅖ℓ − =−¾=⅘ ≈⅚ −⅖⅞⅜+−Ħ Ĥ ⅘⅘⅘⅘≠H −−−−√ =⅞⅗⅔⅔⅔÷⅔Ë ⅝⅔‰÷⅞≤⅔ ∂ ¾+⅘⅝⅔×+− ≤≈⅚⅞ ⅗− −=− Ħ −¾⅔ ×÷−⅞⅝+−=⅞ ⅞=∞ = ≠÷≈⅜− H +⅘>−≠√ =‰ ⅔⅜ℓ¾⅔√=∞ ¾ ×÷⅘⅜ −⅚⅘+⅞√Ħ ÷≈⅗− ÷⅔⅝ ⅘≠⅔ ⅞=∞ ‰− ∞√ ⅝⅘ ⅞H ⅞ ‰ ≈⅖ℓ ×ℓ ⅞H ×÷⅔¾⅔√ ÷≈‰⅔ ⅝⅔‰÷ℓ ⅔ ⅗ ⅔⅝⅔ −≠ ⅗÷√⅝⅞H =‰¾−⅝∞ ×⅔ ∞±ℓ ⅘ ∞‰+≈ − =− +±⅘ ⅞ ≠≈≠ ⅚⅘ ×−⅗⅔= −H ×−⅗ −¬⅘++−⅘ ¾+⅘⅝⅔×+− +⅔=≠≈×⅞¾≥⅘% ≠⅘ +−≠−%Ħ ⅔ √ ⅚⅘ ≈×⅔ ¾ ⅜ℓ÷≈ H Ĥ ⅜−⅗⅔⅜⅔ =√ ⅗⅘÷−% ×− ≈⅜⅔ √∫¬⅘ ≈=√ ×√≠+≈ =¾⅘≠⅔ +⅔⅜ ⅗− −¾−%Ħ ⅘÷≠H ¾ℓ=−‰− ≠≈≠H −⅜+⅔‰− Ĥ ⅖ℓ ⅔ ⅘⅗− ×−= ⅘⅜+√√ ℓ= ∞H ×⅘÷⅘⅜ ≠⅘ ‰⅔‰ ×−≠⅘÷√≠∞ =−⅝+⅔+⅞⅘Ħ ⅜⅔÷⅔ −+ +⅘ ×−≤≈¾=≠¾−¾⅔ Ħ Ĥ ¬⅘ −⅜⅞+ ⅜− ⅘≠⅔ =√H =−≤≈¾=≠¾⅘++− ×÷−⅞⅝+⅘= ⅗− −= −≠‰≈⅜⅔Ĥ≠− =¾⅘÷>≈Ħ Ĥ ⅕≠−≠ ⅜⅔⅚⅘ ×−⅜≈÷+⅘⅘ ⅖≈⅜⅘≠H ×÷⅘⅜ℓ⅜≈¬⅞% >−≠∞ ÷≈‰⅔ ⅞ ⅔>⅔ H ×−⅜⅜⅔‰+≈ ¾≠−÷−% ⅗− −=Ħ Ĥ ⅔ ∂≠− −+ +⅔ ≠⅘⅖√ ÷≈‰⅔ ⅞ ⅔>⅔ H ≤≠−⅖ℓ ≠ℓ +⅘ ⅜ℓ÷√¾⅞ ⅔ ⅘⅗− ¾−⅝⅜≈≥+ℓ% ≥⅔÷Ħ Ĥ Ĥ +≠⅘÷⅘=+−H ⅔ ∂≠−≠ −≠≤⅘⅗− ≈ ⅘÷Ĺ Ĥ ≠ ‰≈÷⅘+⅞√H ¾⅞⅜⅞≥∞H ÷√⅜− = +⅞ =⅞⅗⅔÷⅔ ¾⅔ √⅘≠=√Ħ ⅛ = ℓ≥⅔ ⅔H ≤≠− −≠ ∂≠−⅗− ‰≠− ≠− ∞‰− +⅘ ≈ ⅞÷⅔⅘≠Ħ Ĥ ≈ ⅔⅘≥∞H −≠ ‰≈÷⅘+⅞√Ĺ + ⅚⅘ ≈×⅔ = ⅖− ∞≥−% ¾ℓ=−≠ℓH +⅘ −⅗ −+ −≠ ∂≠−⅗− ≈ ⅘÷⅘≠∞Ħ Ĥ ₋+⅔ ⅞≠⅞‰⅞ ⅗−¾−÷√≠H ≤≠− ¾⅘÷−√≠+−=≠∞ ≈ ⅘÷⅘≠∞ −≠ ‰≈÷⅘+⅞√ ⅖− ∞≥⅘H ≤⅘ ¾⅘÷−√≠+−=≠∞ ≈ ⅘÷⅘≠∞ −≠ ×⅔⅜⅘Ĥ +⅞√Ħ ≠− ≈ ⅚⅘H +⅘≈⅚⅘ ⅞ ≠ℓ +⅘ ¾⅞⅜⅘ ⅔H ‰⅔‰ −+ ×⅔⅜⅔ Ĺ −¾⅘÷≥⅘++− ¾⅘⅜∞ − ≤⅔H =×−‰−%+−H √ ⅖ℓ ⅜⅔⅚⅘ =‰⅔⅝⅔ ⅔H ≈ ⅞÷−≠¾−÷⅘++− ≠⅔‰H ×⅔⅜⅔ Ħ Ĥ ⅔⅔⅔⅔H ×÷⅘⅜ℓ⅜≈¬⅞% ×⅔⅜⅔ ‰≈⅜⅔ ⅔‰≠⅞¾+⅘⅘H ⅔≠⅘÷⅞ =√ ⅘¬⅘ ≠⅔‰ ×÷⅘−≠¾÷⅔≠+− ×÷⅞ ∂≠− ⅞ ⅘+√ −⅖−Ĥ ⅝¾⅔ −÷−≥−H ≤≠− −+ ≈×⅔ Ħ Ĥ ₋ ∂≠−⅗− ⅚⅔ ∞H >−÷−≥⅞%H ¾⅞⅜+−H ×⅔÷⅘+⅘‰ ⅖ℓ H =×−‰−%+ℓ% ≠⅔‰−%H ⅞ ¾−≠ ×−⅜⅞ ⅚ ≠ℓH =‰≈÷⅞ =√Ë Ĥ ⅔≠− +⅘ ÷≈⅗⅔ =√ =−¾=⅘ Ë ⅜−⅖⅔¾⅞ ×⅘÷¾ℓ% ⅗− −=Ħ Ĥ ₌ Ĥ ∂ ¾ℓ× ∫+≈ +⅔⅖⅞¾≥≈∫=√ ¾ ÷−≠ ≠÷⅔¾≈Ħ ₍ℓ ⅝⅔≠‰+⅘≠⅘=∞H +⅔‰−+⅘±Ĺ =×÷−=⅞ −+H ×−⅜+⅞ ⅔√ ⅗− −¾≈Ħ ÷√ − ×⅘÷⅘⅜ +⅞ H +⅔ +⅘⅖− ∞≥− ×⅘+∞‰⅘ ×−=÷⅘⅜⅞ ×− √+ℓH =⅞⅜⅘ ⅞ ⅜¾⅘ ×≠⅞±ℓH ⅞H =≈⅜√ ×− −=≈⅚⅜⅔∫Ĥ ¬⅞ ¾⅝⅗ √⅜⅔ H ⅞> ÷⅔⅝⅗−¾−÷ ≠− ∞‰− ≤≠− ⅖⅘=±⅘÷⅘ −++− ×÷⅘÷¾⅔ ⅞Ħ − ∂≠− ⅘¬⅘ +⅘ =⅔ −⅘ ≈⅜⅞¾⅞≠⅘ ∞+−⅘J −⅜+⅔ ⅞⅝ ×≠⅞± ⅖ℓ ⅔ = =⅞ ∞+− −⅖−⅜÷⅔++ℓ >¾−=≠− H ⅔ +⅔ ≥⅘⅘ ¾≠−Ĥ ÷−% ¾⅞=⅘ ⅔H = ¾⅞⅜≈ ⅜−¾− ∞+− ≠√⅚⅘ ⅔√H ≠⅔⅖ ⅞≤‰⅔H +⅔ ‰−≠−÷−% ⅝⅔≠⅘% ⅞¾ℓ ≥÷⅞<≠− ⅖ℓ ⅔ ¾ℓ⅚⅚⅘+⅔ ¾−≠ ≠⅔‰⅔√ +⅔⅜×⅞=∞J ₋⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔ ⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔ ⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔⅔ ≠÷Ħ ÏÌ

Ĥ ≠− ⅝⅔ĦĦĦĹ ∂ ×−¾⅘÷+≈ ⅗− −¾≈Ħ ₍−‰÷≈⅗ +⅘⅗− ‰− ℓ>⅔ =√ ⅖⅘=‰÷⅔%+⅞% ⅘=H ‰≈×⅔∫¬⅞%=√ ¾ ≈≤⅔> ⅘≠+⅘⅗− =− +±⅔Ħ Ĥ ∂∂∂∂≠⅞ĹË −⅝⅔⅜⅔≤⅘+− ×÷−≠√+≈ ⅗⅘÷−% ⅔⅚⅘≠=√H √ ÷⅘>+≈ =√Ë Ĥ ∂≠− =−¾⅘÷≥⅘++− ⅘=≠⅘=≠¾⅘++− ⅝⅔ ⅘≠⅞ ⅔ ×≠⅞±⅔ = ≠⅔⅖ ⅞≤‰−%Ħ ₍+⅘⅝⅔×+−H ⅝⅘ √ ⅝⅔>−⅜⅞ ⅔ >−⅜≈+− Ĥ ⅗⅜⅘Ĥ≠− ⅗ ≈⅖−‰− ¾+⅞⅝≈ ×−=≠⅘×⅘++− +⅔÷⅔=≠⅔ ⅗≈ H ‰−≠−÷ℓ% ¾=‰−÷⅘ ≈⅚⅘ ⅝⅔‰ ⅔⅜ℓ¾⅔ ≈≥⅞H ×⅘÷⅘>−⅜√ ¾ =≠÷⅔++−⅘ ≥⅞×⅘+⅞⅘Ħ Ĥ Ë ⅜÷−⅚⅔ ⅔ ⅞ ≠÷√= ⅔=∞ ⅝⅘ √ ×−⅜ +−⅗⅔ ⅞Ħ ≠⅞±⅔ = ‰≈±ℓ >¾−=≠− ⅗+−¾⅘++− ¾⅝ ⅘≠⅘ ⅔ = ×+√H ¾≠−÷⅔√ ≠−=‰ ⅞¾− ×÷−= ⅘⅜⅞ ⅔ ⅝⅔ +⅘% ¾⅝⅗ √⅜− H ×−Ĥ ×÷⅔¾ √√ ≠⅔⅖ ⅞≤‰≈ +⅔ ≥⅘⅘Ħ −⅚⅘ ¾=‰−≤⅞¾≥⅘ ≈ ∂ ≈ = ≠÷≈⅜− ≈⅜⅔¾⅔ −=∞ =−>÷⅔+√≠∞ ÷⅔¾+−¾⅘=⅞⅘ +⅔ ‰− ℓ>⅔∫¬⅘%=√ ×−≤¾⅘Ħ ≠≈≠H ≠⅔‰⅚⅘ ¾+⅘⅝⅔×+−H ‰⅔‰ ¾=⅘ +⅔≤⅔ −=∞H ¾=⅘ ⅝⅔‰−+≤⅞ −=∞H −‰÷≈⅚⅔∫¬⅞% ⅞÷ ×÷⅞−⅖÷⅘ =≠⅔⅖⅞ ∞+−=≠∞H ⅗≈ ×−=≠⅘×⅘++− =≠⅞> ≈%⅜√ −⅖÷⅔≠+− ×−⅜ ⅝⅘ ∫Ħ Ĥ >H +⅘ ‰ ⅜−⅖÷≈ ≠∂+ =+−¾⅔ ×ℓ≠⅔⅘≠=√ ⅗−¾−÷⅞≠∞H ⅝⅔ ⅘≠⅞ ⅔ ×≠⅞±⅔ = ≠⅔⅖ ⅞≤‰−%Ħ Ĥ ≠∂+Ĺ Ĥ ∂ ×−×÷−⅖−¾⅔ ×÷⅘⅜=≠⅔¾⅞≠∞ =⅘⅖⅘ ∂≠−⅗− ≠∂+⅔H −≠ ⅗− −=⅔ ‰−≠−÷−⅗− ⅜÷−⅚⅞≠ ⅝⅘ √H +− ≈ +⅘⅗− +⅞≤⅘⅗− +⅘ ×− ≈≤⅞ −=∞Ħ Ĥ ≤≠− ⅚⅘ −+ >−≤⅘≠ =‰⅔⅝⅔≠∞Ĺ =×÷−=⅞ ⅗⅘÷−%Ħ Ĥ ÷−⅖ ⅘ ⅔ ¾ ≠− H ≤≠− ⅘⅗− +⅞‰≠− +⅘ ×−+⅞ ⅔⅘≠H =‰⅔⅝⅔ ⅔H ×÷⅞⅝⅘ √√=∞ +⅔ ×⅘+⅘‰H ¾≠−÷⅔√ ×≠⅞±⅔Ħ ∂ ×−≤⅘=⅔ ⅝⅔≠ℓ −‰Ħ Ĥ +⅔⅘≠⅘ ≤≠−H ÷⅘⅖√≠⅔H √H ×−⅚⅔ ≈%H ×−%⅜≈Ħ Ĥ ≤⅞≠⅔⅘≥∞ +⅔= ¾=⅘> ⅝⅜⅘=∞ =≈ ⅔=≥⅘⅜≥⅞ ⅞Ĺ ≈‰−÷⅞⅝+⅘++− ×÷−⅞⅝+⅘= ⅔ ×≠⅞±⅔ = +⅔⅜×⅞=∞∫Ħ Ĥ ⅛ ⅜⅔⅚⅘ +⅘ ⅝+⅔∫H ≤≠− ⅞ =≤⅞≠⅔≠∞Ħ ₍−Ĥ×⅘÷¾ℓ>H √ +⅘ ×−+⅞ ⅔∫H ⅗⅜⅘ ∂≠− ⅜⅘=∞ ⅞ ‰⅔‰ +⅘ ¾⅘÷+≈≠∞=√ −⅖Ĥ ÷⅔≠+−H ¾−Ĥ¾≠−÷ℓ> ⅖ ⅞+ ¾−≠ ∂≠−H +⅔×÷⅞ ⅘÷H ≤≠− ≠⅔‰−⅘Ĺ ≠ℓ‰+≈ −+ ¾ ≠⅔⅖ ⅞≤‰≈ +⅔ ≥⅘⅘ ×≠⅞±ℓĦ Ĥ ₋>H ∂≠−H ×÷−=≠− −⅗⅞+Ħ Ĥ −⅗⅞+ ×−¾≠−÷⅞ ∂ H −¬≈×ℓ¾⅔√ ÷≈‰⅔ ⅞ =≠¾− ⅜⅘÷⅘¾⅔ =⅝⅔⅜⅞Ħ Ĥ ₋⅗⅔H +≈ ≠⅘×⅘÷∞ ¾=⅘ ×−+√≠+−H Ĥ =‰⅔⅝⅔ −+H = ⅘⅗‰⅔ ×−=≠≈‰⅞¾⅔√=∞ ⅝⅔≠ℓ ‰− − ⅜⅘÷⅘¾−Ħ Ĥ ₋ ×−≤⅘ ≈ ≈ ≠⅘⅖√ +⅘≠ −⅗⅞+⅔Ĺ Ĥ ×−⅞+≠⅘÷⅘=−¾⅔ =√ −+ = −×⅔=‰−% ≈ ¾≠−÷−% ×≠⅞±ℓĦ Ĥ ₋ √ +⅘ ∫⅖ ∫ =−±⅞⅔ ∞+ℓ⅘ =⅘≠⅞Ħ Ĥ ⅔⅔⅔⅔‰Ë ⅗+−¾⅘++− ¾=‰⅞×⅘ ∂ H ≈ ¾⅔= ¾=⅘> ‰ ≤⅘÷≠≈Ë ℓ≥Ë ⅔ ⅔>⅔ −+ ÷≈‰⅔ ⅞Ħ ≠⅞±ℓ ÷⅔⅝ ⅘≠⅘ ⅞=∞ ¾ ÷⅔⅝+ℓ⅘ =≠−÷−+ℓH ⅞H −‰‰≈×⅞÷−¾⅔¾ +⅞⅚+⅞⅘ ¾⅘≠‰⅞ ⅜⅘÷⅘¾∞⅘¾H ×÷⅞+√ ⅞=∞ ⅗+⅘¾+− ×⅘Ĥ ÷⅘⅗−¾⅔÷⅞¾⅔≠∞=√Ħ Ĥ ≈H ‰⅔‰ +⅘ ¾⅘⅚ ⅞¾−Ħ Ĥ ≈ ×− −⅗⅔⅘≥∞H ⅔ −+ ⅓⁄Ë Ĥ ₋ ≈ ⅘+√ ‰÷ℓ ∞√ ⅖− √≠ ⅘⅚⅜≈ ×÷−≤⅞ ¾−≠ ≠⅔‰ = ≠⅔⅖ ⅞≤‰−% ×−÷>⅔≠∞H ≈⅚⅘ +⅘ ×≠⅘+≤⅞‰ ¾=⅘Ĥ≠⅔‰⅞Ħ Ĥ ⅔‰ ⅖÷−=∞ ⅘⅘Ë Ĥ ₋ ¾⅜÷≈⅗ −⅗⅞+ ⅝⅔⅖≈⅜≈Ĺ Ĥ ₍−≠ ∂≠− ⅖ℓ − ⅖ℓ ≠−≤+− =≈ ⅔=≥⅘=≠¾⅞⅘Ħ ∂ ≈⅚⅘ −≠⅜⅔ ⅞ =√ +⅔ ×−÷√⅜−≤+−⅘ ÷⅔==≠−√+⅞⅘H ⅗⅜⅘ ×≠⅞≤⅞% =≠÷⅘‰−≠ +⅘ ⅖ℓ = ℓ≥⅘+H ‰−⅗⅜⅔ ⅝⅘ √ =+−Ĥ ¾⅔ +⅔≤⅔ ⅔ ≠÷√=≠⅞=∞Ħ Ĥ ⅕⅕⅕⅕⅕⅕Ë ⅔=‰⅔≠⅞ =√ ⅗≈ ×− −‰÷⅘=≠+−=≠√ Ħ Ĥ ⅞≥⅘ ≠∂+H >−÷−≥⅞% ⅔ ∞≤⅞‰ ×÷−⅞⅝+⅘= −+H ⅞H +⅔⅗+≈¾≥⅞=∞H ×−> −×⅔ ×−≤¾≈ ÷≈‰−%Ħ ⅘ ⅘≠÷√=⅘+⅞⅘ =≠⅞> −H −⅜+⅔‰− +⅔ ⅝⅘ ⅘H ¾ ‰ ≈⅖⅔> ×ℓ ⅞ ×−‰⅔⅝⅔ =√ =¾⅘≠ ℓ% ‰≈=−≤⅘‰ × ⅘≠⅘+−% ¾⅘÷⅘¾Ĥ ‰⅞H ‰−≠−÷ℓ% ¾⅘ ‰≈⅜⅔Ĥ≠− ¾ ⅗≈¬≈ ‰≈=≠−¾Ħ ÷−= ⅘⅜−¾⅔¾ ⅝⅔ ‰⅔+⅔≠− H ⅗⅘÷−% ¾+⅘⅝⅔×+− ¾ℓ≥⅘ +⅔ ⅖− ∞≥≈∫ ×− √+≈H ×−=÷⅘⅜⅞ ‰−≠−÷−% ¾−⅝¾ℓ≥⅔Ĥ ⅞=∞ −⅖ − ‰⅞ ÷⅔⅝⅖⅞≠−⅗− ¾−⅝⅜≈≥+−⅗− ≥⅔÷⅔Ħ ≈⅜√ ×− ¾=⅘ ≈H −+ ≈×⅔ −≠+−=⅞≠⅘ ∞+− +⅘⅜⅔¾+−Ħ ⅔ ⅜ℓ÷√¾− ‰≈×− ⅘ ≥⅔÷⅔H ‰−≠−÷ℓ% ⅖⅘⅝⅚⅞⅝+⅘++− =¾⅞=⅔ = +⅘⅖− ∞≥−⅗− ⅜⅘÷⅘¾±⅔H −⅚+− ⅖ℓ − ×÷−≤⅞Ĥ ≠⅔≠∞ +⅔⅜×⅞=∞ ŇŲŠWŤȚẀŨ MŤŠT Ħ ≠÷Ħ ÏÍ

Ĥ ≠ ⅞≤+−Ë Ĥ −⅖÷⅔⅜−¾⅔ =√ ⅗⅘÷−%H Ĥ ≠⅘×⅘÷∞ ⅜⅘ − ×−%⅜⅘≠ ⅚⅞¾⅘⅘H +≈⅚+− ≠− ∞‰− ×−≤⅞+⅞≠∞ ∂≠≈ ÷≈> √⅜∞Ħ ₍ ‰−÷⅝⅞+⅘ ≥⅔÷⅔ −⅖+⅔÷≈⅚⅞ ⅞=∞ ⅘≥‰⅞ = ×⅘=‰− H ⅝⅔×⅔= ¾−⅜ℓ ¾ ⅜¾≈> < √⅗⅔>H ‰+⅞⅗⅔ =− =≠÷⅔++ℓ +⅔⅝¾⅔Ĥ +⅞⅘ ÔGŇŠVWŠË OẂŠWŠË OẂŠÛÙVË ⅞H ‰ = −¾≈H +⅘ ⅘+⅘⅘ ×−+√≠+ℓ =−⅜⅘÷⅚⅔+⅞⅘ H ÎÌ ‰⅗Ħ ⅔÷⅞>≈⅔+ℓ ¾ ⅖÷≈Ĥ =‰⅔>H √¾+− ⅗⅜⅘Ĥ≠− ≈‰÷⅔⅜⅘++ℓ% = ⅔⅜‰⅞% ÷≈ ⅘≠ ⅞ ≠÷≈× ¾ =⅘÷−¾⅔≠−% ⅔+≠⅞⅞H ⅘⅚⅔¬⅞% ⅞±− ¾+⅞⅝H ¾ ×÷⅔Ĥ ¾−% ÷≈‰⅘ ‰−≠−÷−⅗− ⅖ℓ ⅞ ⅝⅔⅚⅔≠ℓ ×≠⅞≤∞⅞ ×⅘÷∞√Ħ ⅔‰⅚⅘ ≠⅔ ⅘⅚⅔ − ×⅞=∞ − ⅞⅝ ‰−÷⅞≤+⅘¾−% ⅖≈ ⅔⅗⅞Ħ ⅗− ∂ ⅝⅔ ⅘≠⅞ +⅘ =÷⅔⅝≈H +⅔=≠− ∞‰− −+− = ⅞¾⅔Ĥ −=∞ = <−+− ‰−÷⅝⅞+ℓĦ ⅘‰=≠ ×⅞=∞ ⅔ ⅖ℓ H ×−>−⅚⅘H +⅔⅖÷⅔+ ¾ =×⅘≥‰⅘H ‰÷− ⅘ ≠−⅗−H ‰÷≈⅗− ¾⅞⅜+⅘ ⅞=∞ ×√≠+⅔ ≠≈≥⅞ ⅞ ×−⅜≠⅘‰⅞Ĵ −×÷−‰⅞+≈≠⅔√ ⅖⅔+‰⅔ = ≠≈≥∞∫ ⅘⅚⅔ ⅔ ÷√⅜− H +− ⅘⅘ =−⅜⅘÷⅚⅞ −⅘ ×−≤≠⅞ ¾=⅘ ¾ℓ ⅞ −=∞H ‰ =≤⅔=≠∞∫H +⅘ =⅞ ∞+− ×−¾÷⅘⅜⅞¾ ×⅞=∞ −Ħ ÷−≤⅞≠⅔≠∞ −⅚+− ⅖ℓ − ⅖≈‰¾⅔ ∞+− = ⅘⅜≈∫¬⅘⅘J =≠−÷−⅚+−H −×⅔=+−=≠∞ =×÷⅔¾⅔ ÍĨJÏĪË ÷≈⅜⅘+= Ĥ ÷≈⅜⅘+= ⅞+≠⅘÷⅘=+−H ‰⅘ ⅖ℓ ∂≠−≠ ÷≈⅜⅘+=Ĺ ∂ =−≤≈¾=≠¾⅘++− ×−= −≠÷⅘ +⅔ ⅘÷≠¾⅘±⅔H +⅔¾⅘÷Ĥ +−⅘H ∂≠− ⅖ℓ − −≤⅘+∞ ¾⅔⅚+−⅘ =−−⅖¬⅘+⅞⅘H ⅜÷≈⅗Ĺ ⅘ ¾− +≈%=√H √ ⅜−=≠⅔¾ ∫ ⅘⅗−H ⅘= ⅞ +⅔%⅜≈ ⅔⅜÷⅘=⅔≠⅔H ⅔ =⅘%≤⅔=H ⅝⅔% ⅘ =√Ĥ‰⅔ ≠¾−⅞ ⅞ ×−>−÷−+⅔ ⅞Ħ − +±⅘ ≈⅚⅘ =⅔⅜⅞ −=∞ +⅔ ⅗−÷⅞⅝−+≠⅘H −=¾⅘¬⅔√ ×− √+≈ ‰÷−¾⅔¾ℓ ⅝⅔‰⅔≠− H ‰−⅗⅜⅔ ÷⅔⅝⅜⅔ =√ −≤⅘÷⅘⅜+−% +⅞⅝‰⅞% ⅝¾≈‰ ⅞⅝Ĥ×−⅜ ⅝⅘ ⅞Ħ Ĥ Ë ¾≠−÷⅞ − ⅞÷−⅝⅜⅔+⅞⅘ =≠−+≈ ≠∂+⅔Ħ ∂ ¾−≠‰+≈ ⅜−=‰≈ ≤≈≠∞ ¾ℓ≥⅘ =¾⅘⅚⅘⅗− >− ⅞‰⅔ ⅝⅘ ⅞Ħ Ĥ ⅔ ∞ +⅘ ⅖ℓ − −×⅔≠ℓH ×⅔ ‰−% −≠ ‰−÷⅝⅞+ℓ ‰−×⅔≠∞ +⅘=×−⅜÷≈≤+−H +≈ ⅜⅔ ≈⅚⅘ ¾=⅘ ÷⅔¾+−Ħ ⅜⅘=∞ ×−‰−⅞≠=√ ÷≈⅜⅘+= Ĥ ⅔‰‰≈÷⅔≠+− ¾ℓ¾⅘ ∂ +⅔⅜×⅞=∞ ×⅘÷− +⅔ ⅜−=‰⅘H ×−≠÷⅔≠⅞¾ −=≠⅔≠‰⅞ ≠≈≥⅞Ħ −= ⅘⅜+⅞% ≈≤ =− +⅘≤+−⅗− =¾⅘≠⅔ ¾ℓ>¾⅔≠⅞ ⅞⅝ ≠⅘ +−≠ℓ −=≠−¾ ¾−⅝⅜≈≥+−⅗− ≥⅔÷⅔ ⅞ =‰÷∫≤⅘++−⅗− +⅔⅜ ‰≈≤‰−% ⅜÷−¾ ≤⅘ −¾⅘‰⅔ ÷√⅜− H ×ℓ≠⅔∫¬⅘⅗−=√ ⅝⅔⅚⅞⅗⅔ ‰−% ×−⅜×⅔ ⅞≠∞ +⅘ +−⅗− =ℓ÷−¾⅔≠ℓ% >¾−÷−=≠Ħ ⅘+⅞ ≈⅜ ⅞+⅞ ⅞=∞ ⅜− ×÷⅘⅜⅘ ⅔ ⅞ =≠⅔ ⅞ ⅔⅖=− ∫≠+− ≤⅘÷+ℓ ⅞H =− +⅘≤+ℓ% ≈≤ +⅔ ×÷−¬⅔+⅞⅘ ×−⅗ ⅔⅜⅞ ¾⅘÷>≈≥‰⅞ ⅜⅘÷⅘¾∞⅘¾ ⅞ −‰−+≤⅔≠⅘ ∞+− =‰÷ℓ =√ ⅝⅔ ⅗−÷⅞⅝−+≠− Ħ ₍ ≠⅘ +−≠⅘ ÷⅔⅝⅜⅔ −=∞ ≤⅞÷‰⅔+∞⅘ ⅝⅔⅚⅞⅗⅔ Ĥ ‰⅞H ⅞ ⅔ ⅘+∞‰⅞% −⅗−+⅘‰H +⅔‰−+⅘±H ⅝⅔=≠⅘+≤⅞¾− ⅝⅔× √=⅔ +⅔ ⅜÷−¾⅔>Ħ ÷−≥ − −‰− − ×√≠⅞ ⅞+≈≠H ×÷⅘⅚⅜⅘ ≤⅘ −⅗−+⅘‰ −⅖÷⅘ <−÷ ≈ ÷⅘¾≈¬⅘⅗− × ⅔ ⅘+⅞H ⅞ +⅔≥ ⅗⅘÷−% =≠⅔ −≠Ĥ −⅗÷⅘¾⅔≠∞=√Ħ ¾−÷−=≠ =⅗−÷⅔⅘≠ −≤⅘+∞ ⅖ℓ=≠÷−H ⅘= ⅞ ≠⅔‰ ⅜⅔ ∞≥⅘ ×−%⅜⅘≠H ≠− ×÷⅞⅜⅘≠=√ ⅞=‰⅔≠∞ ⅜÷−¾⅔ ¾ ×−≠⅘ ‰⅔> H −⅖⅘=×−‰−⅘+− ×−⅜≈ ⅔ ∂ ⅞ ×−≥⅔÷⅞ ÷≈‰−% =×÷⅔¾⅔Ħ ≈‰⅔ +⅔≠− ‰+≈ ⅔=∞ +⅔ ≤≠−Ĥ≠− ×÷√ −≈⅗− ∞+−⅘Ħ ≠ ⅞≤+−H ⅜−=‰⅔Ë ₌≈⅜⅘≠ ⅜− ∞≥⅘ ⅗−÷⅘≠∞ ≈> ℓ ∞+≈ =√ −+H ×−⅜‰⅞⅜ℓ¾⅔√ ⅘⅘ ¾ −⅗−+∞Ħ ⅘⅞⅝¾⅘=≠+− ×− ‰⅔‰−% ×÷⅞≤⅞+⅘H ‰−=≠⅘÷ ¾=‰−÷⅘ =≠⅔ ⅚≈≠‰− ⅜ℓ ⅞≠∞Ħ ∂ ×−×ℓ≠⅔ =√ ⅖ℓ − +⅘ +−⅗− ÷⅔Ĥ ⅝−⅖÷⅔≠∞ ¾⅘≠‰⅞H ⅝⅔≠⅘ ×−⅜‰⅞+≈ =¾⅘⅚⅞> ⅜−=−‰H +− +⅞≤⅘⅗− +⅘ ×− −⅗⅔ −H ≠− ∞‰− ⅜ℓ ⅔ +⅔⅜ℓ≥⅔ =√H ⅔ ×−Ĥ =⅘ ≈ ×÷⅞≥ −=∞ ⅔>+≈≠∞ ÷≈‰−% +⅔ ∫≠− ≤⅔⅜√¬⅞% ‰−=≠⅘÷Ħ ⅘⅜ ⅘++ℓ =‰÷⅞×− +⅘⅖− ∞≥−⅘ ⅜⅘÷⅘¾−H +⅔ ‰÷−+⅘ ‰−≠−÷−⅗− ⅘⅚⅔ ‰≈×− ≥⅔÷⅔H ×−¾⅘÷+≈ −=∞ ⅜÷≈Ĥ ⅗−% =≠−÷−+−% ‰ ⅗⅘÷−∫H ×−‰⅔⅝⅔¾ ⅝⅔=×⅔++ℓ⅘ ⅗ ⅔⅝⅔ = ‰÷⅔=+ℓ ⅞ ×÷−⅚⅞ ‰⅔ ⅞ ⅞ ⅖− ∞≥−% ÷−≠ ×−>−⅚⅞% +⅔ ⅜≈× − ¾ ‰−÷⅘Ĵ ¾ ⅜⅔++ℓ% − ⅘+≠ ÷−≠H ×−>−⅚⅘H ⅝⅘¾⅔ Ħ ≠¾− ⅜⅘÷⅘¾⅔ ÷⅘⅝‰− ⅜⅘÷+≈ =√H ¾ℓ⅗+≈ =√H ¾+≈≠÷⅞ ≤≠−Ĥ≠− >÷≈=≠+≈ −H ⅞ ÷−≠ ⅞⅝−⅗+≈ =√ ¾ ⅖ ⅔⅚⅘++−% ≈>Ĥ ℓ ‰⅘Ħ ⅔≠⅘ ¾⅝⅗ √⅜ −⅚⅞¾≥⅘⅗− ×÷⅘⅜=≠⅔¾⅞≠⅘ √ < −÷ℓ ×⅘÷⅘ ⅘=≠⅞ =√ +⅔ ∂ ⅔ ⅝⅔⅚⅞⅗⅔∫¬⅘⅗− =⅞⅗⅔÷≈ ⅘⅗− ⅚⅘ ⅗−Ĥ ÷√¬⅘% ¾⅘≠‰−%Ħ Ĥ ÷−≥≈ ×÷−¬⅘+⅞√ ¾⅞+−¾⅔≠− ×÷−⅞⅝+⅘= ∂ ≠≈≥⅔ ¾⅘≠‰≈ − =≠¾− ⅜⅘÷⅘¾⅔Ħ

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Ĥ =‰¾⅘÷+⅞≠⅘ ∞Ë ⅝⅔≥⅘ ⅘=≠⅘ ⅞ ⅞=≠∞√Ħ Ĥ ⅞≤⅘⅗− ≠⅔‰−⅗− +⅘ ⅜⅘ ⅔∫H =‰⅔⅝⅔ ⅗⅘÷−%H +⅘⅝⅔ ⅘≠+− ×ℓ≠⅔√=∞ =×÷√≠⅔≠∞ ¾√⅝⅔+‰≈ >¾−÷−=≠⅔ ⅝⅔ ‰−÷⅝⅞+−%Ħ ₍+≈≥⅞≠⅘ ∞+⅔√ ¾⅘≠‰⅔ = ⅔≤+− ≈⅜⅔÷⅞ ⅔ ⅘⅗− ×− ⅞±≈H −=≠⅔¾⅞¾ ×⅔÷≈ ⅞=≠∞⅘¾ +⅔ +⅘⅖÷⅞≠−% ¬⅘‰⅘Ħ ⅞⅗⅔÷⅔H =−¾⅘÷≥⅞¾ ×÷−¬⅔ ∞+ℓ% ‰≈ ∞⅖⅞≠H ≈×⅔ ⅔ ¾ ‰−=≠⅘÷ ⅞ ⅞⅗− =⅗−÷⅘ ⅔Ħ ⅘⅜≈⅘≠ =‰⅔⅝⅔≠∞H ≤≠− ⅜⅘÷⅘¾∞√ +⅔ ∂ ⅔ +⅔×⅔⅜⅔ ⅞ ⅜−=≠⅔≠−≤+− ÷⅘⅜‰−ĦĦĦ ĠĠĠ = −¾≈ =‰⅔⅝⅔≠∞H < −÷⅔ = × ⅔+⅘≠ℓ ₋⅗÷−+⅞=H ¾ =−⅝¾⅘⅝⅜⅞⅞ ₋+⅜÷− ⅘⅜ℓH ≠− ∞‰− ⅞ ⅜⅘ ⅔⅘≠H ≤≠− ¾−∫⅘≠ ⅘⅚⅜≈ =−⅖−%Ħ ₍=⅘ ℓ ×− +⅞ ⅝+⅔ ⅘+⅞≠≈∫ ×− ⅞⅜−÷+≈∫ ÷⅘⅝+∫ ¾ +⅔≤⅔ ⅘ ≠÷⅘≠∞⅘⅗− ≠ℓ=√≤⅘ ⅘≠⅞√ Ĝ×−Ĥ ⅘=≠+− ≈ ⅘≠−⅞=≤⅞= ⅘+⅞∫ĞH ‰−⅗⅜⅔ = ⅘ ℓ⅘ ≠− ⅔≠ℓ ×÷−≠⅞¾−=≠−√ ⅞ ×− ≤⅞¬⅔ =−‰−⅚⅔⅜+ℓ> ‰−≤⅘¾ℓ> ×⅘÷=⅞Ĥ ‰−¾Ħ − ×−¾−⅜≈ ∂≠−% ×⅘≤⅔ ∞+−% =≠÷⅔+⅞±ℓ ⅞=≠−÷⅞⅞H +⅔ × ⅔+⅘≠⅘H ¾ =≠− ⅞±⅘ −¾−¬+−% ⅞ ×⅘÷⅞⅞ ⅜⅔⅚⅘ ⅖ℓ =−−÷≈⅚⅘+ −+≈ ⅘+≠H ¾ ±⅘+≠÷⅘ ‰−≠−÷−⅗− +⅔>−⅜⅞ −=∞ ⅞⅝¾⅔√+⅞⅘ ≈⅚⅘=≠¾⅘++−⅗− ×− ⅞⅜−÷⅔H −‰÷≈Ĥ ⅚⅘++−⅗− ⅜⅘=√≠‰− ¾−⅞+=≠¾⅘++ℓ> ×⅘÷=⅞‰−¾Ħ ₍ℓ +⅔¾⅘‰⅞ −=≠⅔+⅘≠⅘=∞ ¾ +⅔≥⅞> =⅘÷⅜±⅔> ⅞ +⅔ +⅔≥⅘% −⅜⅘⅚⅜⅘ Ħ ⅘ +⅘ ⅘+⅘⅘H ⅘= ⅞ −¾−¬⅞ ⅞ <÷≈‰≠ℓ ×÷⅘⅜×−≤⅞≠⅔ ⅞ ¾⅘=≠⅞ ⅖⅞≠¾ℓ ⅜− ×−= ⅘⅜+⅘% ‰⅔× ⅞ =−‰⅔H ≠− ¾⅝÷−= ℓ⅘ ⅜⅘÷⅘¾∞√ +⅔−⅖−÷−≠H ⅝⅔+⅞ ⅔ ⅞ =‰−÷⅘⅘ ⅜⅞× − ⅔≠⅞≤⅘=‰≈∫ ×−⅝⅞±⅞∫ ¾ ∂≠− ¾−×÷−=⅘Ħ ₍⅘⅜∞H ≤≠−⅖ℓ ¾ℓ¾⅘=≠⅞ ⅜⅘÷⅘¾− ⅞⅝ =⅘⅖√H +≈⅚+− ×−≠÷⅔≠⅞≠∞ ×÷−=≠− ≠⅞≠⅔+⅞≤⅘=‰⅞⅘ ≈=⅞ ⅞√H ⅗÷⅔+⅞≤⅔¬⅞⅘ = ⅖⅘⅝+⅔⅜⅘⅚+ℓ ⅞Ħ ⅘ ¾⅘÷⅞≠⅘Ĺ −⅚⅘≠⅘ =⅔ ⅞ ×−×÷−⅖−¾⅔≠∞Ħ ≈¬⅘=≠¾≈⅘≠ ⅜÷⅘¾+⅘⅘ ×−¾⅘÷∞⅘H ≤≠− +⅘‰⅔√ ⅞+−× ⅔+⅘≠+⅔√ ÷⅔=⅔ −≠ +⅘≤⅘⅗− ⅜⅘ ⅔≠∞H ×÷−¬⅘ ⅗−¾−÷√H ×−Ĥ ×⅔¾≥⅞=∞ +⅔ = ⅔⅖− −≠ ⅜÷≈⅗−% ⅜÷⅘¾+⅘% ⅞+−× ⅔+⅘≠+−% ÷⅔=ℓH =−⅖÷⅔ ⅔ =⅘ ⅘+⅔ ¾=⅘> ÷⅔=≠⅘+⅞% = ₋⅗÷−Ĥ +⅞=⅔ ⅞ ÷⅔⅝¾⅘√ ⅔ ⅞> ×− ¾=⅘ ⅘++−%Ħ ₍¾⅞⅜≈ ‰⅔‰⅞> ×÷⅞≤⅞+ ÷⅔=≠⅘+⅞√H ×÷⅞¾⅘⅝⅘++ℓ⅘ +⅔ ⅝⅘ ∫H +⅘ ×÷−√¾ √∫≠ =−⅝+⅔+⅞√H ×− =⅘% ⅜⅘+∞ −=Ĥ ≠⅔⅘≠=√ ⅝⅔⅗⅔⅜‰−%Ħ ₍×÷−≤⅘ H =−⅗ ⅔=+− ‰⅔ ⅘+⅜⅔÷∫ ⅜÷⅘¾+⅞> ⅔%√ Ĝ¾ ⅜÷≈⅗−% ∂≠⅞ − −⅗⅞⅞ = −¾⅔ ⅜⅔ ⅜⅔H ≠⅘> =⅔ ℓ> H ×⅔÷≥⅞¾ℓ> H ⅗− −⅚−×ℓ> ⅞ ≠Ħ⅜ĦĞ ¾+⅞⅝≈H ⅘ ‰−Ĥ ⅘ ‰−H ×÷⅔‰≠⅞≤⅘=‰⅞ +⅔ −⅖−⅜‰⅘ ‰⅔ ⅘+⅜⅔÷√ ¾ℓ⅖⅞≠− ×÷⅘⅜=‰⅔⅝⅔+⅞⅘ − ‰−+±⅘ =¾⅘≠⅔ ¾ ÷⅘⅝≈ ∞≠⅔≠⅘ ⅞ ⅘++− ¾+⅘⅝⅔×+− ×−≈ +⅘¾≥⅘⅗− ⅔÷⅖≈⅝⅔ +⅔ ≠⅔÷⅘ ‰⅘ ×⅘Ĥ ÷⅘⅜ +⅘⅝⅔⅜⅔≤ ⅞¾ℓ ⅝⅘ √+⅞+− Ħ ≈≠∞ ×÷⅔¾⅘⅘H +⅔ ≠− Ĥ⅚⅘ −⅖−⅜‰⅘ ÷⅔=×− −⅚⅘+− ÷⅔=≥⅞÷⅘++−⅘ ×÷⅘⅜=‰⅔⅝⅔+⅞⅘H ‰−≠−÷−⅘ ≈≠¾⅘÷⅚⅜⅔⅘≠H ≤≠− ×−= ⅘ ÎÌÍĨ ⅗−⅜⅔ ≤⅘ −¾⅘≤⅘=≠¾− ¾=⅘Ĥ≠⅔‰⅞ ⅝⅔‰ ∫≤⅞≠ ⅞÷ = ÷⅔=≠⅘+⅞√ ⅞H ¾ℓ‰≈×⅞¾ ⅘⅗− ×−=÷⅘⅜Ĥ =≠¾− =‰⅔÷ ⅞¾⅔+⅞√ ⅞ ¾=⅘> ≈⅖⅘⅚⅜⅘++ℓ> ¾⅘⅗⅘≠⅔÷⅞⅔+±⅘¾Ħ ¬⅘ ≤≈≠∞ ×÷⅔¾⅘⅘ ⅔¾≠−÷ ≈¾⅘÷√⅘≠H ≤≠− ¾ ÎÌĪĪ ⅗−⅜≈ +⅔=≠≈×⅞≠ ¾÷⅘ √ ⅖ ⅔⅗−⅜⅘+=≠¾⅞√ ⅞ ¾=⅘−⅖¬⅘% ∫⅖¾⅞H ⅞ = −¾− ÷−¾−=⅘‰ ×÷⅞−⅖÷⅘≠⅘≠ +−¾−⅘ ⅝+⅔≤⅘+⅞⅘Ħ ∫⅖−×ℓ≠+−H ≤≠− ‰ ∂≠− ≈Ĥ⅚⅘ ⅗−⅜≈H ×− ×−⅜=≤⅘≠⅔ ≈⅚⅘ =−¾÷⅘ ⅘++ℓ> ⅞+−× ⅔+⅘≠+ℓ> ≈≤⅘+ℓ>H ‰−+−Ĥ × √H ⅘= ⅞ ⅘% −⅜+⅔⅚⅜ℓ ×⅘÷⅘=≠⅔≠∞ ⅘≥⅔≠∞ ÷⅔=×÷−=≠÷⅔+√≠∞=√H ⅜− ⅚+⅔ ×÷⅔‰≠⅞≤⅘=‰⅞ ×− +−=≠∞∫ ⅝⅔×− +⅞≠∞ ⅝⅘ ∫H ¾− ¾=√‰− = ≈≤⅔⅘H −⅖⅞≠⅔⅘ ≈∫ ⅘⅘ ≤⅔=≠∞Ħ ⅘≠⅘≠÷⅞= ₎⅞⅜ ×− ⅖⅘⅝≈ +ℓ ⅘=≠⅔ ∂≠−% ¾=⅘ ⅘++−%Ħ ĠĠĠ ⅘÷⅘¾− ×÷⅞=≠⅔ ∞+− = ⅘⅜⅞ − ⅝⅔ ∂ − ×ℓ≠⅔√=∞ ⅜−=≠⅔≠∞ ⅘⅗− ¾⅘≠‰⅔ ⅞H +− −=‰¾⅘÷+⅞≠⅘ ∞ ⅖− ∞≥⅘ +⅘ ×−⅜Ĥ >−⅜⅞ = ⅞≥‰− ⅖ ⅞⅝‰−Ħ Ĥ ⅘÷≠H ×−= ≈≥⅔%H ∂≠− ×÷−=≠− ⅗ ≈×−H +⅘ +≈⅚⅘+ ∂≠−≠ ‰−=≠⅘÷ −−−>H ⅔ ¾⅘⅜∞ ×−= ⅘⅜+√√ =⅞⅗⅔÷⅔ ⅖ℓ ⅔Ħ ⅘÷⅘¾− ×÷−⅜− ⅚⅔ − ⅗÷−⅝+− ≥⅘ ⅘=≠⅘≠∞ ⅞=≠∞√ ⅞H +⅘ −⅖÷⅔¬⅔√ ¾+⅞ ⅔+⅞√ +⅔ = −¾⅔ ≤⅘ −¾⅘‰⅔Ħ Ĥ +⅔⅘≥∞H ⅔ ¾⅘⅜∞ ¾ℓ¾⅘=≠⅞ ⅞⅝ =⅘⅖√ =≠⅔÷⅞+≈ ⅗⅗⅞ =−¾=⅘ +⅘×÷−=≠−H ≤⅘=≠+−H =‰⅔⅚⅞H ‰⅔‰ ≠ℓ ∂≠− =⅜⅘ ⅔ Ĺ Ĥ ÷−⅞⅝+⅘= ¾−=>⅞¬⅘++ℓ% ⅗− −= =×÷⅔¾⅔Ħ Ĥ −⅚+− =‰⅔⅝⅔≠∞H ≈ ⅘+√ ‰ ∂≠− ≈ ≠⅔ ⅔+≠ ×⅘≤⅔ ∞+− ¾⅝⅜−>+≈ ∂ H ×−¾−÷⅔≤⅞¾⅔√=∞ ‰ =−⅖⅘=⅘⅜+⅞‰≈Ħ ≠÷Ħ ÏĨ

÷√ − ×⅘÷⅘⅜ +⅞ H =‰≈≤⅔∫¬⅘ ⅝⅔ −⅚⅞¾ ÷≈‰⅞ ⅝⅔ =×⅞+≈H =≠−√ =⅔ ℓ% +⅔=≠−√¬⅞% ⅗+− ¾ ‰÷⅔=+− ‰− ×⅔Ĥ ‰⅘Ħ Ĥ ⅛ ≈⅚⅘ +⅞≤⅘ ≈ +⅘ ≈⅜⅞¾ √∫=∞H ×−‰⅔≤⅔ ⅗− −¾−% ∂ Ħ Ĥ ⅔⅚⅘ ≠⅔‰− ≈Ĺ ÷⅔⅝¾⅘=⅘ ⅞ =√ ⅗+− Ħ Ĥ ₎ √⅜⅞Ĥ‰⅔ =‰⅔⅝⅔ −+H ‰⅔‰⅞ Ĥ≠− −⅖÷⅔⅝− ⅜−=≠⅔¾⅔√ ⅞⅝ ‰⅔÷ ⅔+⅔ ⅗−÷≥−‰ = ×⅘≤⅘+∞⅘ ¾ ≠÷⅞ ÷⅔⅝⅔ ⅖− ∞≥⅘ +⅘⅗− =⅔ −⅗−Ħ Ĥ ⅔Ë ⅜⅞¾⅞ Ë ÷⅔== ⅘√ =√ ∂ H ⅜−=≠⅔¾⅔√ ⅞⅝ ‰⅔÷ ⅔+⅔ ŐŁĿĦ Ĥ ⅞ ⅘+ ≈¾⅔⅚⅞≠⅘ ∞+− ×÷−⅞⅝+⅘= ⅗+− H Ĥ ‰=≠⅔≠⅞H ⅘+√ ⅝−¾≈≠ ¾⅘÷⅗H +⅘ >−≤⅘≥∞Ĥ ⅞ ×⅘≤⅘+∞√Ĺ +− = √⅗−Ĥ ⅜⅔ ⅞Ħ Ĥ ⅛⅗−⅜ℓ −=‰¾⅘÷+⅞≠⅘ ⅞ Ĥ ¾+−¾∞ ⅝⅔≥≈ ⅘ − ⅜⅘÷⅘¾−Ħ Ĥ ×⅔=⅞⅖−H +⅘ −≠‰⅔⅚≈=∞Ħ ≠− ×÷⅔¾⅜⅔H ×−≠√+≈ − ≤≠−Ĥ≠− ¾−≠ +⅔ = ⅔⅜⅘+∞‰−⅘H ⅖−÷ −≠⅔ ∂ −≠ ⅜≈≥⅞ +⅔Ĥ ⅖⅞¾⅔√ ÷−≠ ×⅘≤⅘+∞⅘ Ħ Ĥ ≈⅜⅔ ×≈≠∞ ⅜⅘÷⅚⅞≥∞H =≠⅔÷⅞‰Ĺ − −¬∞ +⅘ +≈⅚+⅔Ĺ ¾⅘÷⅗ ⅖ℓ =⅔ − ÷⅔⅜≈≥⅞⅘Ħ Ĥ ⅕∂>H =⅔ +⅘ ⅝+⅔∫ ‰≈⅜⅔ ⅞⅜≠⅞Ħ ⅘+√H ‰=≠⅔≠⅞H ⅝−¾≈≠ ∂ Ħ ⅘÷∞⅘⅝+ℓ% ∂ H ×÷−⅞⅝+⅘= −+H −≠÷√>⅞¾⅔√ ⅔Ĥ ⅜−+∞ −≠ ‰÷−≥⅘‰ ⅜ √ ×−⅚⅔≠⅞√Ħ Ĥ = ⅞ +⅘ ⅝+⅔⅘≥∞ ‰≈⅜⅔ ⅞⅜≠⅞H ≠− ≠⅘⅖⅘ ‰ ¾− ≥⅘⅖+⅞‰≈ +⅔⅜−H ⅚⅞¾⅘≠ ¾ ⅖⅔≥+⅘ +⅔ ∫⅗⅘H −≠=∫⅜⅔ ⅗⅜⅘Ĥ≠− =−≠+√ ‰⅞ − ⅘≠÷−¾ ⅖≈⅜⅘≠H =‰⅔⅝⅔ ⅗+− H ×−⅚⅞ ⅔√ ×÷−≠√+≈≠≈∫ ÷≈‰≈ Ĝ⅜ √ ∂≠−⅗− ⅘ ≈ ×÷⅞≥ −=∞ ×÷⅞¾=≠⅔≠∞ +⅔ ±ℓ×−≤‰⅞ĞĦ ∂ ≈+ℓ − ×−‰−=⅞ =√ +⅔ −⅖ − ‰⅞ ¾−⅝⅜≈≥+−⅗− ≥⅔÷⅔ Ĥ ×÷−= ⅘⅜⅞¾ ⅝⅔ ⅘⅗− ¾⅝⅗ √⅜− H ¾⅘÷⅗ ÷⅔=>−>−≠⅔ =√ Ĥ − ∞‰− +⅘ ⅗−¾−÷⅞H ≤≠− =−⅖⅞÷⅔ =√ ×− ⅘≠⅘≠∞ +⅔ ∂≠− H ×÷−≥ ℓ% ¾⅘‰H ≤⅘=≠+−⅘ = −¾−H ⅘=≠∞ =×−=−⅖ ×−+⅔Ĥ ⅜⅘⅚+⅘%Ħ ≠‰≈⅜⅔Ĥ≠− ⅞⅝ ⅖⅘⅝⅜−++ℓ> ‰⅔÷ ⅔+−¾ ⅗+− ⅔ ×−√¾⅞ ⅔=∞ =⅞√∫¬⅔√ =<⅘÷⅔Ħ Ĥ ₍−−−≠H −≤⅘+∞ −¬+⅔√ ≥≠≈‰⅔H +⅔⅝ℓ¾⅔⅘≠=√ ×−÷≠⅔ ∞+ℓ% ‰⅔ ⅘+∞ −⅖⅞≈=⅔Ħ ×− −¬∞∫ +⅘⅗− −⅚+− ×⅘Ĥ ÷⅘ ⅘¬⅔≠∞=√ ×÷⅔‰≠⅞≤⅘=‰⅞ +⅔ ∫⅖−⅘ ÷⅔==≠−√+⅞⅘H ⅞ √H ≠⅔‰ ⅞ ⅖ℓ≠∞H ≠⅘⅖√ ×−⅜⅖÷−≥≈H ¾=⅘ ÷⅔¾+− ×− ×≈≠⅞Ħ Ĥ ≠−Ĥ≠− +⅔⅝¾⅔+⅞⅘ ≈⅚ ⅖− ∞+− ×−⅜−⅝÷⅞≠⅘ ∞+−⅘H +≈ ⅜⅔ ⅔⅜+−H ‰÷≈≠⅞ =¾−∫ ≥⅔÷ ⅔+‰≈ ×÷−⅞⅝+⅘= ∂ Ħ Ĥ ⅜+≈ =⅘‰≈+⅜≈Ë ≥⅔÷ ⅝⅔=¾⅘≠⅞ =√ ⅘¬⅘ √÷≤⅘H ⅝⅔≠⅘ ⅝⅔¾⅞= ¾ ¾−⅝⅜≈>⅘H ⅞⅝⅜⅔¾⅔√ ÷⅔¾+− ⅘÷+ℓ% ⅗≈ Ħ Ĥ ÷⅞+√≠∞ ⅜⅞÷⅘‰≠⅞¾ℓH ĨĪH ÏĪH ≠÷⅘≠⅞% ‰¾⅔⅜÷⅔≠H ≥⅔÷ ×≈ ∞=⅞÷−¾⅔ ¾ ≠⅔‰≠ = −¾⅔ H = −¾+− ⅝⅔×− ⅞+⅔√ ×− ≈≤⅘++≈∫ ⅞+<−÷ ⅔±⅞∫Ħ Ĥ −⅚⅔ ≈%=≠⅔H +⅘ ⅜⅘ ⅔%≠⅘ ÷⅘⅝‰⅞> ⅜¾⅞⅚⅘+⅞% ⅜− ‰−+±⅔ ≠⅘ ⅘×−÷≠⅔±⅞⅞H −⅚⅞⅜⅔⅘ −⅘ ¾÷⅘ √ ×÷⅞⅖ℓ≠⅞√ Ĥ ≠÷⅞ ≤⅔=⅔ ⅜+√H Ĥ ÷⅔⅝⅜⅔ =√ ⅘>⅔+⅞≤⅘=‰⅞% ⅗− −= +⅔⅜ ⅗− −¾−%H ⅝⅔≠⅘ ¾=⅘ ¾−‰÷≈⅗ ⅝⅔ ⅞ ⅔ ¾=×ℓ≥‰⅔ √÷‰−⅗− =¾⅘≠⅔Ħ Ĥ ÷⅞ ≤⅔=⅔ ⅜+√Ĺ √⅝¾⅞≠⅘ ∞+− ×⅘÷⅘=×÷−=⅞ ∂ H ¬≈÷√ ⅗ ⅔⅝⅔ −≠ √÷‰−⅗− =− +±⅔H Ĥ ≠− ∞‰− ≤≠− ¾⅘⅜∞ +−≤∞ ⅖ℓ ⅔H √ ⅜≈ ⅔ H ∂≠− ≠⅘ ⅘×−÷≠⅔≠−÷H ⅔ +⅘ ‰−<⅘¾⅔÷‰⅔Ë Ĥ ≈ ⅜⅔H ≠⅘ ⅘×−÷≠⅔≠−÷H −⅖⅞⅜⅘ =√ ⅝⅔ ⅘>⅔+⅞⅝ ⅗+− Ĥ ×−+⅞ ⅔⅘≥∞H ×÷−=≠− ≠⅘⅖√ ÷⅔⅝⅖⅞¾⅔⅘≠ +⅔ ≤⅔=≠⅞±ℓ ⅞ ⅞ ¾=⅘ ÷⅔¾+− ¾⅘⅜∞ +≈⅚+− ×÷⅘−⅜− ⅘≠∞ ∂≠− ÷⅔==≠−√+⅞⅘H ¾− ¾=√‰− = ≈≤⅔⅘H ⅜ √ +⅔= ∂≠− ⅖ℓ − ⅗+−¾⅘+Ĥ +−Ħ Ĥ ₍− ¾=√‰− = ≈≤⅔⅘H √ −⅗ ⅖ℓ ⅞⅜≠⅞ ×⅘≥‰− = ≠⅘ Ĥ⅚⅘ ≈=×⅘>− ×⅘÷⅘⅖⅞ ∂ Ħ Ĥ − ‰÷≈≠− ⅚⅘ ¾⅘⅜∞ ⅖ℓ −H =−⅗ ⅔=⅞=∞H ⅘¬⅘ ⅗− −= ≠⅔‰−% ‰− ×∞∫≠⅘÷+ℓ% ¾ ¾−⅝⅜≈>⅘H ⅘≤≠⅔≠⅘ ∞+− ×÷−⅞⅝Ĥ +⅘= ¾⅘÷⅗Ħ Ĥ ℓ = ≈≤⅔⅘ +⅘ ×ℓ≠⅔⅘≥∞=√ ¾≠∫>⅔≠∞ +⅘ ∂≠≈ ¾⅘¬∞Ĺ Ĥ ₋ ≈ ⅘+√ ×− ≈≤⅔⅘≠=√Ĺ Ĥ ⅞⅞÷ ≠¾−∫ ⅝⅔ +−⅗≈H +≈ ≤≠− ⅝⅔ ⅜⅘+∞ =⅘⅗−⅜+√ ≠⅔‰−%Ĺ ×÷−÷ℓ≤⅔ ∂ ⅞H ×−¾⅘÷+≈¾≥⅞=∞H ⅝⅔≠÷≈=⅞ ¾ =≠−Ĥ ÷−+≈ ⅖⅔≥+⅞ ¾−⅝¾ℓ≥⅔∫¬⅘%=√ +⅔⅜ ⅘=− Ħ Ĥ −⅚⅘≠H >−≠∞ =≠−⅞ −=≠∞ ⅖⅔≠⅔÷⅘⅘‰ −× ⅔≠⅞≥∞Ĺ Ĥ ⅜−+⅘==√ ⅜− +⅘⅗− ≠−=‰ ⅞¾ℓ% =≠−+ ⅗+− ⅔ ×−⅝⅔⅜⅞Ħ ₍⅖ ⅞⅝⅞ ⅖⅔≥+√ −‰⅔⅝⅔ ⅔=∞ +⅘ ≠⅔‰−%H ‰⅔‰ =+⅔÷≈⅚⅞H ⅞H ⅘= ⅞ ⅞⅝⅜⅔ ⅘‰⅔ ⅘⅘ ⅘¬⅘ −⅚+− ⅖ℓ − ×÷⅞+√≠∞ ⅝⅔ −⅖⅞≠⅘ ∞ ≈⅜÷−⅗− ⅔⅗⅔H ≠−H ×−⅜−%⅜√ ¾× −≠+≈∫H −+⅔ =‰−÷⅘⅘ +⅔×− ⅞+⅔ ⅔ ⅝⅔⅖÷−≥⅘++ℓ% ⅜⅔≤+ℓ% ≈≤⅔Ĥ =≠−‰Ħ ⅖¬≈∫ ‰⅔÷≠⅞+≈ ⅜−×− +√ ⅔ ×−‰−=⅞¾≥⅔√=√ ‰⅔ ⅞≠‰⅔H ¾⅘⅝⅜⅘=≈¬⅞% × ∫¬H ⅜⅔ ×÷−¾⅞=≥⅔√ ×−⅜ ≠√⅚⅘Ĥ =≠∞∫ ¾÷⅘ ⅘+⅞ ‰÷ℓ≥⅔Ħ ≠÷Ħ ÏÏ

Ĥ Ë Ĥ ⅔⅝⅜⅔ =√ ⅝ℓ≤+ℓ% ⅖⅔= ≠∂+⅔ ×−⅜ +−⅗⅔ ⅞Ħ Ĥ ⅔ ≤≠−Ĥ⅚ ∂≠− ≠⅔‰−⅘ ⅖−÷ −≠⅔ ∂ H ×ℓ≠⅔√=∞ =−>÷⅔+⅞≠∞ ÷⅔¾+−¾⅘=⅞⅘H ⅞ −⅜+−¾÷⅘ ⅘++− −¾√ − −≠−Ĥ ≤⅘‰H ¾⅞=√¬⅞% +⅔ ¾⅘÷⅘¾‰⅘H ×÷⅞⅖⅞≠−% ‰ ⅜¾⅘÷⅞Ħ ⅔‰−+⅘±H ‰−⅗⅜⅔ ⅝⅘ ⅘≠÷√=⅘+⅞⅘ +⅔≤⅔ − =≠⅞>⅔≠∞H ⅘ ≈ ≈⅜⅔ −=∞ ×−% ⅔≠∞ − −≠−‰H ⅞H ≠− ∞‰− ⅖ℓ − +⅔=≠≈Ĥ ×⅞¾≥≈∫ ≠⅞≥⅞+≈ ÷⅔⅝−÷¾⅔ +⅔=≠−%≤⅞¾ℓ% =≠≈‰ ¾ ⅜¾⅘÷∞Ħ ⅘÷⅘⅝ ⅜−¾− ∞+− ×÷−⅜− ⅚⅞≠⅘ ∞+−⅘ ¾÷⅘ √ ⅞⅝Ĥ⅝⅔ ⅜¾⅘÷⅞ ×−= ℓ≥⅔ −=∞ ≥⅔÷‰⅔+∞⅘ ≠⅔×−‰ ⅞ ⅝¾≈‰ ‰ ∫≤⅔H −≠Ĥ ×⅞÷⅔∫¬⅘⅗− ⅜¾⅘÷∞Ħ ⅔ ×−÷−⅗⅘ =≠−√ ℓ=ℓ% ⅜⅘⅜ ¾ ⅔%‰⅘ ⅞ ≠÷⅘+⅞‰⅔>Ħ ∂ ×−+⅔≤⅔ ≈ ⅜⅔⅚⅘ +⅘ +−⅗− ÷⅔=≠⅘÷√ =√ Ĥ −⅖÷⅔⅝ ¾− ≥⅘⅖+⅞‰⅔ ¾ ⅘⅗− =−⅝+⅔+⅞⅞ =−¾⅘÷≥⅘++− +⅘ ¾√⅝⅔ =√ = ≠⅘ H ‰≠− =≠−√ +⅔ ×−÷−⅗⅘ ⅞ ×−≤⅘=ℓ¾⅔ ‰≈⅜÷√¾≈∫ ⅖−÷−⅜≈Ħ Ĥ ≈Ë ⅟⅘⅗− +⅔⅜−Ĺ ×÷−≥⅘×⅘ √¾⅞ ⅜⅘⅜Ħ Ĥ ÷−=≠⅞≠⅘H ⅔ ¾− ≥⅘⅖+⅞‰⅔ −⅚+−Ĺ Ĥ ⅔⅔⅔‰H ¾=⅘ √=+− ×÷−⅗−¾−÷⅞ ⅜⅘⅜ ⅞ ×÷⅘⅜×÷⅞+√ ×−×ℓ≠‰≈ ⅝⅔> −×+≈≠∞ ⅜¾⅘÷∞Ħ =≤⅔=≠∞∫H ∂ ⅖ℓ ⅗−≠−¾ ‰ ∂≠− ≈ ⅞ ×÷⅘⅜≈= −≠÷⅞≠⅘ ∞+− ×−⅜=≠⅔¾⅞ +−⅗≈ ¾ ×÷−⅘ Ħ Ĥ ≠=≠⅔+∞≠⅘ −≠ ⅘+√H √ ⅖⅘⅜+ℓ% ×⅘+=⅞−+⅘÷ +⅔ −≠⅜ℓ>⅘H ⅝⅔⅜− ⅖⅔ ⅞ ≈⅚⅘H +≈ +⅘ ¾− ≥⅘⅖+⅞‰ √H +⅘ ¾− ≥⅘⅖Ĥ +⅞‰ ⅗−¾−÷∫H ⅔ −+⅞ >−⅜∫≠ ⅞ >−⅜∫≠H +⅘+−÷ ⅔ ∞+ℓ⅘Ħ Ĥ − ⅘=≠∞H ‰⅔‰ ∂≠− +⅘ ¾− ≥⅘⅖+⅞‰Ĺ −⅗−÷≤⅞ =√ ⅗⅘÷−% ⅕≠− ≤≠−Ĥ⅚⅘H √ ⅝÷√ ≤≠−Ĥ ⅞ ‰ ¾⅔ ≠⅔¬⅞ =√Ĺ Ĥ %H ⅝÷√ ⅞ −‰H ⅝÷√H ≠ℓ ¾⅘⅜∞ ×⅔÷⅘+∞ ¾÷−⅜⅘ +⅘⅗ ≈×ℓ%H =⅔ ×−=≈⅜⅞H +≈ ‰⅔‰⅞⅘ ¾ +⅔≥⅘ ¾⅘‰⅘ ¾− ≥⅘⅖+⅞Ĥ ‰⅞Ĺ Ĥ ⅔⅔⅔‰ ×÷−⅞⅝+⅘= ∂ H ≈⅖⅞÷⅔√ +−⅗≈ ⅞⅝ ×÷−⅘ ⅔ ⅞ ≈=⅔⅚⅞¾⅔√=∞ +⅔ =≠≈×⅘+∞‰⅞ ×÷−=≠− −≠ ⅞≤+−Ħ Ĥ ℓ ≤≠−H =ℓ+−‰H −⅖⅞⅜⅘ =√ ≤≠−Ĥ ⅞Ĺ ¾⅞+−¾⅔≠− =×÷−=⅞ ⅗− −= ⅞⅝ ×÷⅞−≠‰÷ℓ≠−% ⅜¾⅘÷⅞Ħ Ĥ ⅔ +⅘≠H ⅜⅘⅜≈≥‰⅔H ×÷−=≠− +⅘ ⅝+⅔∫H ≤≠− ≠⅘×⅘÷∞ ⅜⅘ ⅔≠∞Ħ Ĥ ₋H ≠⅔‰ ⅜⅔¾⅔% ₎≈⅗⅘ √ =×÷−=⅞ H −+ ≠⅘⅖⅘ ×−⅜=‰⅔⅚⅘≠Ħ Ĥ ₎≈⅗⅘ √ËĹĤ ∂ ≈ ×−‰⅔⅝⅔ −=∞H ≤≠− −+ −= ℓ≥⅔ =√Ħ Ĥ ≈ ⅜⅔H ₎≈⅗⅘ √H −+ ≠≈≠ ⅗⅜⅘ ≠− ⅖⅘⅗⅔⅘≠H ¾⅘≥+− ¾=⅘ ⅞¬⅘≠H ⅜⅔ ¾ℓ+∫>⅞¾⅔⅘≠H ⅘= ⅞ −+ +⅘ ⅝+⅔⅘≠H ≠− +⅞‰≠− +⅘ ⅝+⅔⅘≠Ħ ≠⅔÷⅞‰ ¾ℓ≥⅘ +⅔ ×−÷−⅗H ⅞H = −⅚⅞¾ ‰−⅝ℓ÷∞‰− ⅔⅜−+∞H ⅝⅔= −+⅞ ⅗ ⅔⅝⅔ −≠ √÷‰−⅗− =− +±⅔Ĵ ≤⅘÷⅘⅝ =⅘‰≈+Ĥ ⅜≈ −+ −⅚⅞¾⅞ =√H ≈¾⅞⅜⅘¾ ⅜¾⅞⅚⅘+⅞⅘ ¾ ‰≈=≠⅔>Ħ Ĥ ₎≈≈≈≈≈⅗⅘ ∞Ë − +⅘ ×÷−‰⅔⅝+⅞‰Ë ℓ ×−= −≠÷⅞H −×√≠∞ ⅗⅔⅜−=≠∞ ‰⅔‰≈∫Ĥ≠− +⅔≥⅘ Ħ Ë − +⅘ ×−⅗⅔+⅘±Ë ₌− ∞≥−% ÷ℓ⅚⅞% ×⅘=H =⅖⅞¾⅔√ >¾−=≠− ⅞=≠∞√H ¾+⅘⅝⅔×+− ¾ℓ=‰−≤⅞ ⅞⅝ ‰≈=≠−¾ ⅞ = ÷⅔⅝¾⅞¾⅔∫¬⅞ =√ √⅝ℓĤ ‰− ¾⅘=⅘ − ×−⅜⅖⅘⅚⅔ ‰ ∫⅜√ Ħ Ĥ ₋⅔⅔>H ₎≈≈≈≈⅗⅘ ∞ ⅔=‰−¾− ×−≠÷⅘×⅔ ⅘⅗− ⅝⅔ >− ‰≈ ⅜⅘⅜ >−÷−≥⅞% ⅔ ∞≤⅞‰H ≠− ∞‰− +⅘ ≠⅔=‰⅔% ⅖− ∞≥⅘ ¾=√‰≈∫ ⅜÷√+∞ ⅜− −%Ħ =⅞+⅔ ¾ℓ⅗ √⅜⅘ ⅔ =−¾⅘÷≥⅘++− =≤⅔=≠ ⅞¾−%Ĵ ⅜−⅖÷−⅜≈≥+⅔√H = ×÷⅞⅜≈÷∞∫H <⅞⅝⅞−+− ⅞√ ¾+⅘⅝⅔×+− ×÷⅞−⅖Ĥ ÷⅘ ⅔ −⅝⅔⅜⅔≤⅘++−⅘ ¾ℓ÷⅔⅚⅘+⅞⅘H ≈=≠⅔¾⅞¾≥⅞=∞ +⅔ ∂ ⅔Ħ ⅔≠⅘ H =−¾⅘÷≥⅘++− +⅘−⅚⅞⅜⅔++−H =−⅖⅔‰⅔ ⅝⅔⅗−¾−÷⅞ ⅔ >−÷−≥− ×−=≠⅔¾ ⅘++ℓ ⅜⅞‰≠−÷=‰⅞ ⅗− −=− Ħ Ĥ −Ĥ×÷⅘⅚+⅘ ≈ ⅖≈≥≈⅘≠ ×−⅚⅔÷ ¾ ∫⅚+−% ≤⅔=≠⅞ ÷⅘ − ⅘=∞√H ∂¾⅔‰≈⅞÷−¾⅔+ℓ ¾=⅘ ⅚⅞≠⅘ ⅞H ×÷−⅚⅞¾⅔∫¬⅞⅘ ¾ ∂≠⅞> ÷⅔%−+⅔>H ¾⅘÷−√≠+− ×÷⅞≤⅞+−% ∂≠− ≈ ×−= ≈⅚⅞ −=≠⅔¾ ⅘++ℓ% ⅖⅘⅝ ×÷⅞= −≠÷⅔ ‰−=≠⅘÷Ħ ⅘= ×⅔÷≈ ÷⅔⅝ ⅞⅗+≈ H ⅝⅔‰⅔≥ √ =√H ⅝⅔≠⅘ ⅝⅔⅗−¾−÷⅞ =−¾⅘÷≥⅘++− ⅜÷≈⅗⅞ ⅗− −=− Ħ Ĥ ⅛ ∂≠−H −⅚+− ⅗−¾−÷⅞≠∞H ⅜⅔Ĺ ⅔‰ ¾−≠H ⅝⅔ ⅘≠⅞ H ‰⅔‰ ×−⅜⅚⅞⅗⅔≠⅘ ∞ = =−−⅖¬+⅞‰− H =‰÷ℓ¾≥⅞=∞ ×÷⅞ ×− −Ĥ ¬⅞ ⅔⅗⅞≤⅘=‰−⅗− ≥⅔÷⅔ −⅖⅞≈=⅔H +⅔×÷⅔¾⅞ ⅞=∞ ¾ =≠−÷−+≈ ≠⅘+⅘¾ℓ> ×⅘¬⅘÷ ×−⅜⅗−÷+−⅗− ‰−÷− √ ₌⅘÷+⅔Ħ ₌ℓ − ≠⅘ +−H ≠⅔‰ ≤≠− −⅗≈ ≠− ∞‰− =‰⅔⅝⅔≠∞H ≤≠− −⅜⅞+ ⅖ℓ ¾ℓ=−‰⅞ H ⅔ ¾≠−÷−%H ‰⅔⅚⅘≠=√H ¾−−⅖¬⅘ ⅗+− Ħ ₍+⅘⅝⅔×+−H +⅔ <−+⅘ ×÷−≤⅞> ⅝¾≈‰−¾H ⅝⅔¾ℓ − ⅝+⅔‰− −⅘ ∂ ≈ ⅜⅘÷⅘¾− =‰¾⅘÷+⅞≠⅘⅘⅘⅘ ⅞⅞⅞ Ĥ ⅝⅔≠⅘ ÷⅔⅝⅜⅔ =√ +⅘¾÷⅔⅝≈ ⅞≠⅘ ∞+ℓ% ≥≈ ⅞ ⅝⅔⅗−¾−÷⅞ ⅝¾−+‰⅞% ⅚⅘+=‰⅞% ⅗− −=Ħ Ĥ ⅜÷⅔¾=≠¾≈%≠⅘H ⅜÷≈⅝∞√H = ¾⅔ ⅞ ⅞=⅔ ₋ ⅞=⅔ ⅞ ℓ =⅘%≤⅔= ×÷⅞=≈≠=≠¾≈⅘ ×÷⅞ ⅝⅔⅜⅘÷⅚⅔+⅞⅞ ⅜¾≈> −×⅔=+ℓ> ×÷⅘=≠≈×+⅞‰−¾H ⅞⅝¾⅘=≠+ℓ> ‰⅔‰ −⅜⅚⅞⅗⅔≠⅘ ∞ ⅞ − ×⅔≠ℓ%Ħ ⅘%≤⅔= ℓ = ∂ ⅞≠+−% ‰− ⅔+⅜−% ₍− ‰−⅜⅔¾−¾ +⅔‰÷−⅘ ∂≠−≠ ×÷⅞≠−+H ‰−≠−÷ℓ% ⅜− ⅗−⅘ ¾÷⅘ √ =‰÷ℓ¾⅔ =√ ×−⅜ ⅞≤⅞+−% ≠−÷⅗−¾−% ‰− ×⅔+⅞⅞ −⅖ Ħ

≠÷Ħ ÏĪ

÷⅔⅝≈ ×−= ⅘ ∂≠−⅗− ÷⅔⅝⅜⅔ =√ ⅗÷− ‰⅞% ÷ℓ‰ ¾⅝√≠∞ ⅞ ≠÷⅘=‰ − ⅔⅘ −% ⅜¾⅘÷⅞Ħ ∂ +⅘≈∫≠+− ×−⅘⅚⅞ =√H ≈= ℓ≥⅔¾ ‰÷⅞‰⅞ ⅞ ⅝ℓ≤+ℓ⅘ ‰− ⅔+⅜ℓ ‰− ⅔+⅜⅞÷⅔ ₍− ‰−⅜⅔¾−¾Ħ ⅔‰⅞ −⅖÷⅔⅝− ₎≈⅗⅘ ∫ ≈⅜⅔¾⅔ −=∞ ×⅘÷⅘⅜⅔¾⅔≠∞ ≠⅔‰−⅘ +−⅗−−⅖÷⅔⅝⅞⅘ ⅝¾≈‰−¾H −=≠⅔¾⅔ −=∞ ≠− ∞‰− ⅜−⅗⅔⅜ℓ¾⅔≠∞=√Ħ Ĥ ₌ ĜJ₎≈⅜−‰JĞH ⅖÷⅔≠¾⅔H +⅔= +⅔‰÷ℓ ⅞Ë Ĥ ⅘⅚⅔≠∞Ë − ×⅔‰⅞ +⅔ ⅝⅘ ∫ ĜJ₎≈⅜−‰JĞ ∫Ë Ĥ ⅕≠− +⅘ −√ ≠÷⅔¾‰⅔H +⅘ ×−⅜‰⅞+≈ ⅞Ë Ĥ ₋ +≈ ×÷⅘‰÷⅔≠⅞ ⅖ ĜJ₎≈⅜−‰JĞ ⅚÷⅔≠∞ ⅜−‰≈ ⅘+≠ℓH ≤≠− −≠⅔⅘≥∞ ⅗− −¾−%Ĺ ⅛ ≠⅘ ⅗−¾−÷∫H ¾ℓ× ∫+∞H ⅔ ≠− ×−Ĥ −⅗≈ =⅘%≤⅔=Ë Ĥ =ℓ ×⅔=‰≈⅜+ℓ⅘H ⅚⅞¾ℓ > ĜJ₎≈⅜−‰JĞ ⅜⅔ =√Ë Ĥ ⅘⅖√≠⅔H ∂≠− − ×⅔≠ℓ%H >¾⅔≠⅔% ⅘⅗−Ë Ĥ ₍=⅘ −≠−≥ ⅞H ÷⅔⅝⅜⅔ =√ ⅞=≠−≥+ℓ% ¾⅞⅝⅗ Ĥ ⅞+⅔≤⅘ ⅝⅔ =⅘⅖√ +⅘ ÷≈≤⅔∫=∞H ≈ ⅘+√ ×⅘≤⅘+∞⅘H ⅞ ‰ √+≈=∞ ≠∂Ĥ +− H √ ∂≠− =⅜⅘ ⅔∫Ë Ĥ − ⅔+⅜⅞÷H ≈ +⅘⅗− ×⅘≤⅘+∞⅘H ≤≠− ⅜⅘ ⅔≠∞Ĺ Ĥ ₌ ĜJ₎≈⅜−‰JĞH ¾⅝√≠∞ ⅘⅗−Ë ÷⅔⅝≈ ⅝⅔ ∂≠⅞ ÷⅔⅝⅜⅔ =√ ≠÷⅘=‰ ÷⅔⅝⅖⅞¾⅔⅘ −% ⅖⅔+‰⅞ ⅞ ÷⅔⅜−=≠+ℓ% ⅔% =¾−÷ℓ ⅗− −⅜+ℓ> =−⅖⅔‰Ħ Ĥ ≈Ë ≈Ë ≠=≠⅔¾⅞≠∞ ×⅘≤⅘+∞⅘ = ĜJ₎≈⅜−‰JĞH √ =‰⅔⅝⅔ H ¾⅝√≠∞ ⅗+− ⅔Ë +⅘¾+√≠+− ×÷−÷ℓ≤⅔ ‰− ⅔+⅜⅞÷ Ĥ ⅘⅗− ⅗− −=≈ +⅘⅜−=≠⅔¾⅔ − ≈⅖⅘⅜⅞≠⅘ ∞+−=≠⅞H −⅚⅘≠ ⅖ℓ≠∞ ⅞⅝Ĥ⅝⅔ ≠−⅗−H ≤≠− −+ ⅗÷− ‰− ≤⅔¾‰⅔ Ħ ⅔≠⅘ H ÷⅔⅝⅜⅔ =√ ⅝¾−+ ÷⅔⅝⅖⅞≠−⅗− =≠⅘‰ ⅔H ‰÷⅞‰⅞ ‰+− H + ¾ℓ×÷ℓ⅗+≈ ¾ −‰+− ⅞ ¾=⅘ ÷⅘⅝‰− =≠⅞> −Ħ Ĥ ⅔⅔⅔⅔ Ĥ ×÷−⅞⅝+⅘= =≠⅔÷⅞‰H ⅝⅔⅚⅞ ⅔√ ×⅔=≠∞ ₎≈⅗⅘ √ ÷≈‰−% Ĥ ≈ ⅞ ¾÷⅘ ⅘+⅔H ÷⅔+∞≥⅘ ≠⅔‰−⅗− +⅘ ⅖ℓ −H ⅔ ¾⅘⅜∞ ×−⅜⅗−÷+−⅘ ‰−÷− ⅘¾=≠¾− =−¾=⅘ ⅖ ⅞⅝‰−H ¾ ×⅔÷⅘ ‰⅞ − ⅘≠÷−¾ −≠=∫⅜⅔ ₎≈⅗⅘ ∞ ⅝⅔=‰≈ ⅞ H = +⅔⅜⅘⅚⅜−% ×−⅗ √⅜ℓ¾⅔√ +⅔ =≠⅔÷⅞‰⅔Ħ Ĥ ≠− ≠⅔‰−⅘ ⅔ ∞≤⅞‰H >−≤⅘≥∞ ⅘¬⅘ ≤≠−Ĥ+⅞⅖≈⅜∞ =−−⅖¬⅞≠∞Ĺ − ∞‰− +⅘ +⅔⅜− ≈⅚⅘ ¾=√‰⅞> =≠÷⅔=≠⅘%H ⅜⅔¾⅔% ≤≠−Ĥ+⅞⅖≈⅜∞ = ⅘≥+−⅘ +⅔%⅜⅞H ⅜ √ ⅜≈≥⅞Ħ −÷⅜⅔ =−⅖⅔‰⅞ =+−¾⅔ ×÷⅞−⅖÷⅘ ⅔ −⅝⅔⅜⅔≤⅘++−⅘ ¾ℓ÷⅔⅚⅘+⅞⅘H ≤⅘÷⅘⅝ =⅘‰≈+⅜≈ ⅞⅝ ×⅔=≠⅞ ÷⅔⅝⅜⅔ =√ ⅗÷− ‰⅞% = ⅘> +−⅚⅘=≠¾⅔ ∫⅜⅘% ⅞ ⅗− −= ¾⅘⅜≈¬⅘⅗−Ħ Ĥ ≈H ⅔ +⅔ ×⅘÷¾− ⅘=≠⅘ ≈ +⅔= ‰−+⅘≤+− ⅚⅘ ‰−≥‰⅔H ‰−≠−÷⅔√ ⅗≈ √ ⅔ =⅔ ⅔ ×− =⅘⅖⅘H ⅔>⅔>⅔>H −+⅔ ≈⅚⅘ ≠÷⅘≠⅞% ⅘=√± ⅝⅔+⅞ ⅔⅘≠ ¾ℓ=≥⅞⅘ =≠÷−≤‰⅞ ÷⅘%≠⅞+⅗⅔Ħ ⅘≠H ¾ℓ ≠− ∞‰− ×−= −≠÷⅞≠⅘H ‰⅔‰ −+⅔ ¾ℓ⅗+≈¾≥⅞=∞ ×⅘÷⅘⅖⅞Ĥ ÷⅔⅘≠ ⅝⅔⅜+⅞ ⅞ ⅔×⅔ ⅞ ≈ =⅘⅖√ +⅔ ⅚⅞¾−≠⅘H ∂≠− −+⅔ ≠⅔‰ ⅗≈ √⅘≠H ⅔>⅔>⅔>H ≈ −÷⅔ Ĥ ⅔‰H +≈ ¾=⅘H >¾⅔≠⅞≠ =≠⅔÷⅞‰ ⅞=×ℓ≠ℓ¾⅔∫¬⅘⅘ ×−= −≠÷⅘ +⅔ ∂ ⅔H ≠ℓ ≤≠−Ĥ≠− >−≠⅘ =×÷−=⅞≠∞Ĺ Ĥ ⅔H ‰−+⅘≤+− > ‰≠− ≠⅔‰−% ≠∂+Ĺ Ĥ ≠∂+ ⅜÷⅘¾+⅘%≥⅘⅘ ⅘>⅔+⅞≤⅘=‰−⅘ =≈¬⅘=≠¾−H ÷⅔=×− −⅚⅘+− ⅗ ≈⅖−‰− ×−⅜ ⅝⅘ ⅘%H ⅖ ⅞⅚⅔%≥⅞% ¾>−⅜ ≠≈⅜⅔ +⅔>−⅜⅞≠=√ ¾ ×−⅜⅗−÷+− ±⅔÷=≠¾⅘ ‰−÷− √ ₌⅘÷+⅔ Ĥ ×÷−⅗−¾−÷⅞ ⅖⅘⅝ ⅞‰⅞% ⅗− −= ⅞⅝ ×⅔=≠⅞ ×=⅔Ħ Ĥ ⅔‰ ×−+√≠∞ √⅝ℓ‰ ≠∂+⅔Ĺ Ĥ ⅕≠−≠ √⅝ℓ‰ +⅞‰− ≈ +⅘ ⅞⅝¾⅘=≠⅘+H +− ⅘=≠∞ = ≈>H ≤≠− ⅗+− ℓ ¾ =‰−÷− ¾÷⅘ ⅘+⅞ ⅘⅗− ÷⅔=≥⅞<÷≈∫≠ = ×−Ĥ −¬∞∫ ‰⅔‰−⅗−Ĥ≠− +−¾−⅗− ×÷⅞⅖−÷⅔H +−=√¬⅘⅗− +⅔⅝¾⅔+⅞⅘ Ħ Ĥ ₎⅜⅘ +⅔>−⅜⅞≠=√ Ĺ Ĥ ⅞= −‰⅔±⅞√ ¾ ⅜⅔++ℓ% − ⅘+≠ ⅝⅔=⅘‰÷⅘≤⅘+⅔H −⅜+⅔‰− −⅗⅞≤+− ×÷⅘⅜×− −⅚⅞≠∞H ≤≠− −+ ÷⅔=×− −⅚⅘+ +⅘Ĥ ×−⅜⅔ ⅘‰≈ −≠ −⅖℮⅘‰≠⅔ ⅞== ⅘⅜−¾⅔+⅞%Ħ Ĥ⅕ ⅔‰ ¾⅘÷+≈≠∞=√ −⅖÷⅔≠+− ¾ =¾−% ⅞÷Ĺ Ĥ ⅘‰−÷÷⅘‰≠+ℓ% ¾−×÷−=H +⅘≠ ×−√=+⅘+⅞√Ħ Ĥ ⅕∂∂>H ∂≠⅞H ‰⅔‰ ⅚⅔ ‰−H ≤≠− ≠ℓ +⅘ +⅘ −⅚⅘≥∞ −≠¾⅘≠⅞≠∞H ≠ℓ ⅖ℓ =−¾⅘÷≥⅘++− −×÷⅘⅜⅘ ⅘++− ⅝+⅔ ⅔H ≤≠− ⅜⅘ ⅔≠∞ ¾⅝⅜−>+≈ ∂ Ħ Ĥ Ë ⅝⅔≥⅞×⅘ ⅔ ⅝⅘ √Ħ Ĥ ≈ ¾−≠H =+−¾⅔ ≠∂+ ⅔⅜+−H ÷⅔⅝ −+ ≈ ¾⅔= ≠≈≠ ⅜÷⅘¾+⅘%≥⅘⅘ =≈¬⅘=≠¾−H =≠⅔ − ⅖ℓ≠∞H ≈ +⅘⅗− ⅞ +⅔⅜− =×÷⅔Ĥ ≥⅞¾⅔≠∞H ‰⅔‰ +⅘ −≠=∫⅜⅔ ¾ℓ⅖÷⅔≠∞=√Ħ Ĥ ⅘ ⅔∫ ≠⅘⅖⅘ ≈⅜⅔≤⅞ Ĥ ≈ ℓ⅖+≈ =√ =≠⅔÷⅞‰H −⅚⅘≠H √H ‰−+⅘≤+−H ⅞ +⅘ ¾− ≥⅘⅖+⅞‰H +− ‰−⅘Ĥ≤⅘ ×− −≤∞ ≠⅘Ĥ ⅖⅘ −⅗≈ Ĥ √ ⅝+⅔∫ −⅜+− ⅝⅔‰ ⅞+⅔+⅞⅘H ‰−≠−÷−⅘ ⅜−=≠⅔¾⅞≠ ≠⅘⅖√ ×÷√ − ‰− ¾>−⅜≈ ¾ ×−⅜⅗−÷+ℓ% ⅗−÷−⅜Ħ ₎−≠−¾Ĺ ≠÷Ħ ÏĬ

Ĥ ×⅔=⅞⅖− ≠⅘⅖⅘ +⅘Ĥ¾− ≥⅘⅖+⅞‰H ≈ ℓ⅖+≈ =√ ∂ ⅗−≠−¾Ë Ĥ ŃǾŐÑ ŎĻ MÕÑË ⅔ ⅗ ⅔⅝⅔ ⅖≈⅜≠− ×⅔ ⅔ ×⅘ ⅘+⅔H ⅔ ‰−⅗⅜⅔ −+⅔ ÷⅔⅝¾⅘√ ⅔=∞H ≠− ×⅘÷⅘⅜ ¾⅝−÷− ×−√¾⅞ ⅞=∞ −⅗÷− +ℓ⅘ ‰⅔ ⅘+Ĥ +ℓ⅘ ¾−÷−≠⅔ ×−⅜⅗−÷+−% ‰÷⅘×−=≠⅞H =≠¾−÷‰⅞ ‰−≠−÷−%H ¾ ⅜⅔++ℓ% − ⅘+≠H ⅖ℓ ⅞ = ⅘⅗‰⅔ ×÷⅞−≠‰÷ℓ≠ℓĦ ⅘¾⅔ ‰÷⅔=−¾⅔ −=∞ −⅖℮√¾ ⅘+⅞⅘ − ÷−⅝ℓ=‰⅘ ⅜¾≈> −×⅔=+ℓ> ×÷⅘=≠≈×+⅞‰−¾Ħ ₍ −⅜+− ⅞⅝ +⅞> ×⅔÷⅘+∞ ⅖⅘⅝ ≠÷≈⅜⅔ ≈⅝+⅔ −×⅞=⅔+⅞⅘ ¾⅘÷⅗⅔H ⅔ ¾ ⅜÷≈⅗− H = ≠÷≈⅜− H =⅘⅖√Ħ ∂ ⅘⅜ ⅘++− ⅝⅔≥⅘ ¾+≈≠÷∞H ×−⅜−⅝÷⅞≠⅘ ∞+− −⅝⅞÷⅔√=∞ ×− =≠−÷−+⅔ Ĥ −+ ≤≈¾=≠¾−¾⅔ =⅘⅖√ ⅝∂‰− ¾ ⅖⅘Ĥ ⅗⅔>Ħ ÷⅔⅝≈ ⅝⅔ ¾−÷−≠⅔ ⅞ ÷⅔=×− ⅔⅗⅔ ⅔=∞ = −≠÷−¾⅔√ × −¬⅔⅜‰⅔H ⅞⅝ +⅘⅘ −≠‰÷ℓ¾⅔ =√ ≤≈⅜⅘=+ℓ% ¾⅞⅜ +⅔ −⅗÷− Ĥ +≈∫ ×⅘¬⅘÷≈H ¾ ⅗ ≈⅖⅞+⅘ ‰−≠−÷−% ⅚⅞¾−×⅞=+− ÷⅔=‰⅞+≈ =√ ⅗−÷−⅜ ⅗+− −¾H ⅔+√¬⅞% ×≈≠+⅞‰−¾ ≠⅔⅞+=≠¾⅘+Ĥ +ℓ ⅞ −⅗+√ ⅞Ħ ₍ ⅗−÷−⅜ ¾⅘ ⅔ −⅗÷− +⅔√ ⅘=≠+⅞±⅔H ×−=≠⅘×⅘++− =×≈=‰⅔∫¬⅔√=√ ¾+⅞⅝Ĵ ¾=⅘ ¾−‰÷≈⅗ ⅖ℓ − √÷‰− −=¾⅘¬⅘+− −⅗Ĥ +√ ⅞ ⅞ ×÷⅞ −=−⅖− ⅚⅘ ⅔+⅞⅞ −⅚+− ⅖ℓ − ⅜⅔⅚⅘ +⅘ +−⅗− ÷⅔⅝⅗ √⅜⅘≠∞ ≤⅔=≠∞ =¾−⅜⅔ ×⅘¬⅘÷ℓĦ ×≈=‰ ⅝⅔+√ ⅜−¾− ∞+− ×÷−⅜− ⅚⅞≠⅘ ∞+−⅘ ¾÷⅘ √H ×− =≤⅔=≠∞∫ +⅔ ×≈≠⅞ +⅞‰≠− +⅘ ×−×⅔⅜⅔ =√Ħ ₎−÷−⅜ =−=≠−√ ⅞⅝ +⅘⅖− ∞≥⅞> ×÷⅞⅝⅘ ⅞=≠ℓ> ⅝⅜⅔+⅞%H = −⅚⅘++ℓ> ⅞⅝ ⅗÷⅔+⅞≠⅔ ⅞ −⅖ ⅞±−¾⅔++ℓ> ⅜⅘‰−÷⅔Ĥ ≠⅞¾+ℓ ‰⅔ +⅘ Ĵ +−⅚⅘=≠¾− ⅘=≠+ℓ> ⅚⅞≠⅘ ⅘% =+−¾⅔ − ¾ ÷⅔⅝+ℓ⅘ =≠−÷−+ℓH ⅔ ⅞⅝÷⅘⅜‰⅔ ¾=≠÷⅘≤⅔ ⅞=∞ ⅞ ×÷⅘⅜=≠⅔¾⅞≠⅘ ⅞ ⅜÷≈⅗⅞> ÷⅔=Ħ ∂ H ×÷⅞⅗+≈¾≥⅞=∞H ‰÷⅔ =√ ×− ≈ ⅞±⅘H =≠⅔÷⅔√=∞ ⅜⅘÷⅚⅔≠∞=√ +⅔⅞⅖− ⅘⅘ ≠⅘ +ℓ> ⅘=≠Ħ Ĥ ⅘≠H +≈ ≠ℓ ×−= −≠÷⅞H ‰⅔⅚⅘≠=√H −+ ¾=⅘ ⅜⅘ ⅔⅘≠H ≤≠−⅖ℓ ⅘⅗− ⅝⅔ ⅘≠⅞ ⅞Ë ×÷−≥⅞×⅘ =+⅞⅝≈ +⅘⅜−¾− ∞+ℓ% ⅗− −=Ħ ∂ −×≈=≠⅞ ⅗− −¾≈ Ĥ ⅞⅝ ×−⅜ × ⅔¬⅔ = ‰⅔×∫≥−+− +⅔ +⅘⅗− ⅗ √⅜⅘ − −⅖⅘=×−‰−⅘++−⅘ ⅞±− ¾⅘÷⅗⅔Ħ Ĥ ℓH ⅘⅚⅜≈ ×÷−≤⅞ H =⅔ ¾ℓ⅗ √⅜⅞≥∞ +⅘ ≈≤≥⅘ ×÷−≥⅞×⅘ ¾ −≠¾⅘≠ ≤⅘ −¾⅘‰Ħ ÷−%⅜√ +⅘ +−⅗− ¾×⅘÷⅘⅜H −+⅞ +ℓ÷+≈ ⅞ ¾ ×⅘÷⅘≈ −‰H ⅗⅜⅘H +⅔‰−+⅘±H = −⅗ ⅞ ×⅘÷⅘¾⅘=≠⅞ ⅜≈>Ħ Ĥ ⅔‰−⅗− ≤⅘÷≠⅔ ≠⅘⅖√ ×÷⅞+⅘= − ¾ ⅗−÷−⅜H √ ⅜≈ ⅔ ≠ℓ ≈ ¾− ≥⅘⅖+⅞‰⅔Ĺ ℓ ×−+⅞ ⅔⅘≥∞H ‰⅔‰ ⅝⅜⅘=∞ ≠⅘×⅘÷∞ −×⅔=+− ⅜ √ +⅔=Ĺ ⅗+− =+√ ‰⅔×∫≥−+ ⅞ ×÷⅞+√ =√ ÷⅔==⅘÷⅚⅘++− ⅘÷⅞≠∞ ≥⅔⅗⅔ ⅞ ⅝⅘ ∫Ĵ ⅝+⅔‰− ℓ% =⅞Ĥ +⅞% ‰− ×⅔‰ ‰⅔≤⅔ =√ ¾ ≠⅔‰≠ ⅘⅗− ⅜¾⅞⅚⅘+⅞√ Ħ Ĥ ⅘⅚⅜≈ ×÷−≤⅞ H ∂≠− ≠¾−√ ¾⅞+⅔H ‰− ⅞¾−√⅚⅘÷ >÷⅘+−¾H ⅘= ⅞Ĥ⅖ℓ +⅘ ≠ℓH √ ⅖ℓ ×÷−= ⅘⅜⅞ ⅝⅔ ≠⅘ ‰−=≠Ĥ ÷− ⅜− ≈≠÷⅔H ⅔ ×−≠− =×−‰−%+− ≈ ⅘≠⅘ +⅔ ¾−⅝⅜≈≥+− ≥⅔÷⅘Ħ Ĥ −√ ¾⅞+⅔Ĺ ¾−⅘% ⅖⅔≥‰−% ⅜− ⅚⅘+ ⅜≈ ⅔≠∞Ë ÷⅘⅜ ⅔⅗⅔∫ =≤⅞≠⅔≠∞ ¾=⅘ = ≈≤⅞¾≥⅘⅘=√ ÷−‰−¾−% = ≈≤⅔%+−Ĥ =≠∞∫Ħ Ĥ −⅗ ⅔=⅘+H ⅘=≠∞ ×−=≠÷⅔⅜⅔¾≥⅞⅘Ĺ Ĥ ⅔ +⅘≠H ‰÷− ⅘ −⅜+−% ⅜⅘=√≠−% ⅘=⅔ ⅞ ×−⅜×⅔ ⅘++−% ≥‰≈÷ℓ =≠⅔÷⅞+ℓ ⅗⅗⅞H +⅔ ×−= ⅘⅜+⅘ = −¾⅘ ¾⅘÷⅗ ⅜−¾− ∞+− ≈> ℓ ∞+≈ =√Ħ ₎+− +⅘÷¾+− ⅝⅔>−⅜⅞ ‰÷≈⅗⅔ ⅞Ħ Ĥ ₍⅔ ⅞≠∞ −≠=∫⅜⅔ +⅔⅜−H ¾⅔ ⅞≠∞H +− √ +⅘ −⅗≈ =⅘%≤⅔= ∂≠− =⅜⅘ ⅔≠∞H +⅔⅜− ⅝⅔⅖÷⅔≠∞ ⅞⅝ ⅔⅖−÷⅔≠−÷⅞⅞Ħ Ĥ Ĺ ℓ ≤≠−H ‰⅔‰Ĥ≠− =¾√⅝⅔+ = ∂≠⅞ ×÷−⅘‰≠− Ĺ Ĥ ¬⅘ ⅖ℓ +⅘ =¾√⅝⅔+H ⅞ H ⅞ ⅔ ⅘+∞ −⅖⅞≈=⅔ Ĥ ∂≠− ¾=⅘ −⅞ ÷⅔⅝÷⅔⅖−≠‰⅞H ≤⅘÷≠H ⅗+− −=≠⅘÷¾⅘+⅘ − ×+≈ +⅘⅖− ∞≥−% ⅖≈⅗−÷−‰ +⅔ ⅝⅘ ⅘Ħ Ĥ +⅘ +≈⅚+− ×−⅗−¾−÷⅞≠∞ = ≠∂+− H ≠ℓ −⅚⅘≥∞ ∂≠− ≈=≠÷−⅞≠∞Ĺ Ĥ ⅔‰ ¾−≠ ×−≤⅘ ≈ ≠ℓ ⅝⅜⅘=∞H ¾− ≥⅘⅖+⅞‰ ×−= ⅔ Ĺ Ĥ ⅘ =−¾=⅘ H +− = ∂≠⅞ ¾⅔≥⅞ ≠∂+− +⅘ ×−⅗−¾−÷⅞≠∞ −≤⅘+∞ +≈⅚+−Ħ Ĥ −+√≠+−H ≠−⅗⅜⅔ =≠−⅞≠ +⅘ ⅘⅜ ⅘++− −≠×÷⅔¾ √≠∞=√Ħ ⅘ ÷⅔+∞≥⅘ ℓ ≠≈⅜⅔ ⅜−⅖⅘÷⅘ =√H ≠⅘ ⅖− ∞≥⅘ ≥⅔+Ĥ =−¾H ≤≠− −+⅞ +⅘ ≈=×⅘∫≠ = ⅘+⅞≠∞ ×⅔÷− ∞Ħ Ĥ ⁻⁻⁻⁻⁻⁻Ë −+−≠−++− ⅝⅔÷⅘¾⅘ ≠∂+H ⅝⅔=≠⅔¾ √√ ¾=⅘> −≠≤⅔√++− >¾⅔≠⅔≠∞=√ ⅝⅔ ¾=⅘ ≤≠− ≈⅗−⅜+−H ⅞≥∞ ⅖ℓ +⅘ ≈×⅔=≠∞ +⅔⅝⅘ ∞Ħ Ĥ ⅔⅚⅘≠=√H +⅔= ⅝⅔ ⅘≠⅞ ⅞ Ĥ −⅖⅘=×−‰−⅘++− ×÷−⅞⅝+⅘= ⅗+− H ‰−⅗⅜⅔ +⅘ +−⅗− ⅝⅔≠⅞> ÷⅘¾ ⅞⅝Ĥ×−⅜ ⅝⅘ ⅞Ħ Ĥ ⅘÷≠H ∂≠− ¾−−⅖¬⅘ ‰⅔‰−%Ĥ≠− ⅘¾ℓ% ×⅔÷⅘+∞H −+ +⅔= ⅝⅔=⅘‰Ë ¾⅘÷⅗ +⅘÷¾+− = −≠÷⅘ +⅔ ×÷−≠⅞¾−×− −⅚Ĥ +≈∫ =≠−÷−+≈ ≈ ⅞±ℓĦ ≠÷Ħ Ïİ

∂ ×÷−= ⅘⅜⅞ +⅔×÷⅔¾ ⅘+⅞⅘ ¾⅝⅗ √⅜⅔ ⅗+− ⅔ Ĥ ‰⅔‰−%Ĥ≠− ≤⅘ −¾⅘‰ = ×−⅜−⅝÷⅞≠⅘ ∞+−% ⅖−÷−⅜‰−% ≈‰⅔⅝ℓ¾⅔ +⅔ +⅞> ×⅔ ∞±⅘ =≠⅔⅘ ₍− ‰−⅜⅔¾−¾Ħ Ĥ ₋⅗⅔H ¾−≠ ∂≠⅞ ÷⅘⅖√≠⅔ ⅜−+⅘==√ ⅘⅗− ⅗− −= ⅜− ×÷⅘=≠≈×+⅞‰−¾Ħ Ĥ ₌ℓ=≠÷⅘⅘H =×≈=‰⅔⅘ =√ ¾ ≠−++⅘ ⅞Ë ⅗+− ⅖ℓ=≠÷− ¾⅝√ +⅔ =⅘⅖√ ⅞+⅞±⅞⅔≠⅞¾≈ ×− −÷⅞⅘+≠⅔±⅞⅞ ¾ ⅝⅔×≈≠⅔+Ĥ +−% =⅞=≠⅘ ⅘ ×⅘¬⅘÷H ≤⅘ −¾⅘‰ ⅘⅜¾⅔ ×−=×⅘¾⅔ ⅝⅔ ≥≈=≠÷ℓ ¾⅘÷⅗− Ħ ⅔‰−+⅘±H −+⅞ ¾ℓ+ℓ÷+≈ ⅞ +⅔ +⅘‰−⅘ ×−⅜−⅖⅞⅘ ×⅘÷÷−+⅔H ×÷⅔¾⅜⅔H ¾ ⅘=≠− ⅝⅘ +−⅗− ⅔+⅔ −⅗⅔ ⅘≠÷−H ⅝⅜⅘=∞ >−⅜⅞ ⅞ +⅘⅖− ∞≥⅞⅘ −+−÷⅘ ∞=−¾ℓ⅘ =−=≠⅔¾ℓH ×÷⅞¾−⅜⅞ ℓ⅘ ¾ ⅜¾⅞⅚⅘+⅞⅘ ×⅔÷−¾ℓ ⅞ ⅜¾⅞⅗⅔≠⅘ √ ⅞Ħ ⅔=‰−≤⅞¾ ¾ ⅖ ⅞⅚⅔%≥≈∫ ¾⅔⅗−+⅘≠‰≈H −+⅞ −⅖ ⅘⅗≤⅘++− −≠‰⅞+≈ ⅞=∞ +⅔ =⅞⅜⅘+∞√Ħ ⅘÷⅘⅝ +⅘‰−≠−÷−⅘ ¾÷⅘ √H ⅗⅜⅘Ĥ≠− ×−⅝⅔⅜⅞H ×−= ℓ≥⅔ =√ ÷⅔⅝−≤⅔÷−¾⅔++ℓ% ¾−% ×÷⅘= ⅘⅜−¾⅔≠⅘ ⅘%Ħ ÷−≥ − −‰− − ≤⅔=⅔H ×÷⅘⅚⅜⅘ ≤⅘ ⅜÷≈⅝∞√ ≈⅜⅔ −=∞H +⅔‰−+⅘±H ⅜−⅖÷⅔≠∞=√ ⅜− ±⅘+≠÷⅔ ∞+−⅗− ¾>−⅜⅔ ¾ ⅔Ĥ ⅖−÷⅔≠−÷⅞∫Ħ ⅔ −+⅞ ⅞ ⅝⅔=≠÷√ ⅞H +⅘ ⅞ ⅘√ ¾−⅝ −⅚+−=≠⅞ ⅝⅔%≠⅞ ¾+≈≠÷∞ Ĥ ×⅔÷− ∞ +⅘ ×−⅜>−⅜⅞ Ħ Ĥ ⅜⅘ ⅔% ≤≠−Ĥ+⅞⅖≈⅜∞H ¾⅘÷⅗Ë Ĥ ₋ ≤≠− √ =⅜⅘ ⅔∫Ĺ +⅞ ×− ⅘+√ ⅞ ×⅔÷− ∞Ë +⅘⅗−⅜−¾⅔ −+H ¾ −≠≤⅔√+⅞⅞ ≈⅜⅔÷√√ ‰⅔ ⅘+∞ ÷≈‰⅔ ⅞Ħ Ĥ Ë =+−¾⅔ ⅝⅔⅗≈⅜⅘ ≠∂+Ħ ₍+⅘⅝⅔×+−H +⅔⅜ ⅗− −¾−% ∂ ⅔ ⅔≠⅘÷⅞⅔ ⅞⅝−¾⅔ =√ +⅘⅖− ∞≥−% ⅖≈÷ℓ% −= ⅞‰ ⅞ = ⅞=≠−≥+ℓ ⅔⅔ ≈×⅔ ¾+⅞⅝Ħ ₎⅘÷−∫ ×÷⅞≥ −=∞ ×−≠÷⅔≠⅞≠∞ +⅘‰−≠−÷ℓ⅘ ≈=⅞ ⅞√H ≤≠−⅖ℓ ¾ℓ⅖÷⅔≠∞=√ ⅞⅝Ĥ×−⅜ +⅘ ⅘+⅘⅘ ≈⅜⅞¾ ⅘++−⅗− ⅚⅞Ĥ ¾−≠+−⅗−Ħ Ĥ ≠− ⅝⅔ >÷⅘+∞ ⅝⅜⅘=∞ ×÷−⅞=>−⅜⅞≠Ĺ ¾⅘÷⅗H +⅔ +⅔⅜− +⅘ ⅘⅜ ⅘++− ‰ ≠∂+≈H = ℓ≥⅞≥∞Ĺ Ĥ ⅛ +⅘ −⅗≈ ≈⅗⅔⅜⅔≠∞ ×⅔÷− ∞H ×−+⅞ ⅔⅘≥∞Ĺ ₍ +⅘ −⅚⅘≠ ⅖ℓ≠∞ =‰− ∞‰− ≈⅗−⅜+− =⅞ ¾− −¾Ë Ĥ ÷−⅖≈%Ë ⅔ +≈⅚+− ≠≈⅜⅔ ×−×⅔=≠∞Ħ ⅘−⅚⅞⅜⅔++−H −≠‰≈⅜⅔Ĥ≠− =¾⅘÷>≈ ÷⅔⅝⅜⅔ =√ ≥−÷−> ‰÷ℓ ∞⅘¾H ⅞ +⅔ =−=⅘⅜+∫∫ =‰⅔ ≈ −×≈=≠⅞ ⅔=∞ ×≠⅞±⅔ = ≠⅔Ĥ ⅖ ⅞≤‰−%Ħ Ĥ ₌⅔Ë ≠⅔÷ℓ% ⅝+⅔‰− ℓ%H ⅔ ≤≠− ∂≠− ℓ ×ℓ≠⅔⅘ =√ ⅜⅘ ⅔≠∞H +⅘≈⅚⅘ ⅞ ×−×⅔⅜⅔⅘ +⅔ ⅝⅔‰÷ℓ≠≈∫ ≠⅘÷÷⅞≠−÷⅞∫Ĺ Ĥ ⅘⅖⅘ ≠− ≤≠−H ⅞ ⅞H −⅚⅘≠H ≠ℓ ⅝+⅔⅘≥∞ ×⅔÷− ∞Ĺ ×÷−÷ℓ≤⅔ ∂ Ħ Ĥ ₋ ¾−≠H ×÷⅘⅜=≠⅔¾∞ =⅘⅖⅘H ⅝+⅔∫Ë ⅛H ⅘⅚⅜≈ ×÷−≤⅞ H ⅔⅜≥⅞% +⅔≈≤+ℓ% =−≠÷≈⅜+⅞‰H ¾ℓ⅞⅗÷⅔ ⅔ ∂≠−≠ ⅞+¾⅔%≠ ¾ ‰−+‰≈÷=⅘ +⅔ −⅜+−⅗+⅘⅝⅜+⅞‰⅔> Ĥ ×⅔÷− ∞ ≈ ≠⅘⅖√H +⅔¾⅘÷+−⅘H ≠−≠ ⅚⅘ =⅔ ℓ%H ≤≠−⅖ℓ =¾−∫ ≈ +≈∫ ⅗− −¾≈ ¾=√‰⅞ ⅞ ⅗ ≈×−=≠√ ⅞ +⅘ ⅝⅔⅖⅞Ĥ ¾⅔≠∞Ĺ Ĥ ⅘>H ¾⅘÷+−H √ ≈ +⅔√ ×−=≠−%Ĥ‰⅔ ∂ H ⅗÷− ‰− >−>−≤⅔H ¾¾⅘ = ‰ ⅔¾⅞⅔≠≈÷ℓ +⅘−⅖>−⅜⅞ ℓ⅘ ≥⅘=≠∞ =⅞ ¾− −¾ ⅞ ⅜¾⅘÷∞ = √⅗‰⅞ ≥⅘ ⅘=≠− −≠Ĥ ‰÷ℓ ⅔=∞Ħ ≠⅞±⅔ = −=≠⅘÷¾⅘+⅘+⅞⅘ ⅖÷−=⅞ ⅔ ≠⅔⅖ ⅞≤‰≈ +⅔ ×− ⅞ ≈ ⅘≠⅘ ⅔H ⅖−÷ −≤⅔ ÷≈⅗⅔≠⅘ ∞=≠¾⅔Ħ Ĥ ≈ ≤≠−H ≠ℓ ⅞⅜⅘≥∞Ĺ ¾⅘=⅘ − ×÷−−÷⅔ ∂ ¾⅘÷⅗≈H ⅝⅔⅖⅘⅗⅔√ ¾ −≠‰÷ℓ≠ℓ⅘ ⅜¾⅘÷⅞Ħ ₎+− ⅘⅜ ⅘++− ×−⅖÷⅘ ¾+≈≠÷∞H ≈⅜⅞¾ ⅘++− ‰⅔≤⅔√ ⅗− −¾−% ⅞ ≤≠−Ĥ≠− ⅖−÷ −≤⅔ =⅘⅖⅘ ×−⅜ +−=Ħ ≠∂+ +⅘ ⅖ℓ ×−>−⅚ +⅔ ‰⅔‰−%Ĥ≠− ×÷⅘⅜ ⅘≠ ⅞ ⅞ ⅚⅞¾−⅘ =≈¬⅘=≠¾−H =‰−÷⅘⅘ −+ +⅔×− ⅞+⅔ ⅘≥⅔+⅞+≈ ×÷−Ĥ ¾−⅜−¾ +⅔ ⅗⅞⅗⅔+≠=‰−% ∂ ⅘‰≠÷−++−% × ⅔≠⅘H ⅝⅔+⅞ ⅔∫¬⅘% ¾=∫ ⅝⅔⅜+∫∫ =≠⅘+‰≈ ⅖− ∞≥−% ‰− +⅔≠ℓĦ √⅜− ¾⅞=⅘ ⅞ −> ⅔⅚⅜⅔∫¬⅞⅘ ±⅞ ⅞+⅜÷ℓH −≠ +⅞> ¾⅘ ⅞ ‰≈≤⅞ ≠÷≈⅖−‰ ‰ ×÷−±⅘==−÷⅔ ⅞ ≤⅞×⅔ ×⅔ √≠⅞Ħ ∂ +⅘÷⅘≥⅞≠⅘ ∞+− −=≠⅔+−¾⅞ =√H ⅗ √⅜√ +⅔ ∂≠− ‰⅞⅖⅘÷+⅘≠⅞≤⅘=‰−⅘ ¾⅘ ⅞‰− ⅘×⅞⅘Ħ ⅝⅔⅜⅞ +⅘= ℓ≥+− ×−⅜−≥⅘ ⅗+− H ⅞H ¾⅝√¾ =− =≠− ⅔ +⅔×÷−≠⅞¾ +⅘⅖− ∞≥−% ⅘≠⅔ ⅞≤⅘=‰⅞% ±⅞ ⅞+⅜÷H ¾ℓĤ ≥⅘ ¾ ±⅘+≠÷ ‰− +⅔≠ℓĦ Ĥ ≠−Ĥ⅚H ÷⅔⅝÷⅘≥⅞ ×÷⅘⅜=≠⅔¾⅞≠∞ ≠∂+Ë ¾⅘÷⅗ +⅘−×÷⅘⅜⅘ ⅘++− ⅔>+≈ ÷≈‰−%H ‰⅔‰ ⅖ℓ −×⅞=ℓ¾⅔√ ⅘⅗− +⅘Ĥ ⅔ ℓ% ÷⅔⅝ ⅘÷Ħ Ĥ ⅛ ⅜≈ ⅔ H ≤≠− −+ ⅖≈⅜⅘≠ ×−¾ℓ≥⅘Ħ Ĥ ≈H ≈⅚ ‰⅔‰−% ⅘=≠∞H ¾ −⅖¬⅘ H ∂≠⅔ ≥≠≈‰⅔H ⅗+− +⅔⅚⅔ ‰⅔‰≈∫Ĥ≠− ‰+−׉≈ +⅔ ±⅞ ⅞+⅜÷⅘ Ĥ +⅔⅝ℓ¾⅔⅘≠=√ H ≠− ⅖⅞≥∞ ¾⅔+≠−¾ℓ% =‰−÷⅞≠⅘ ∞ ⅔≠⅘÷⅞⅞ ±⅞ ⅞+⅜÷ ⅘⅜ ⅘++− ¾ℓ× ℓ ⅞⅝ ⅘⅗− ÷≈‰H ×−⅜+√ =√ +⅔ ≠÷⅞ ⅘≠÷⅔ ¾¾⅘÷>H ⅞ ¾ℓ×≈=≠⅞ ≈≤ √÷‰−⅗− =¾⅘≠⅔ ¾ ⅝⅘ ∫Ħ ≠÷Ħ ÏĮ

Ĥ ⅘−÷⅘≠⅞≤⅘=‰⅞H −+ ⅜− ⅚⅘+ ÷⅔=≥⅞<÷−¾⅔≠∞ = −¾⅔ ≠∂+⅔H +− ×÷−⅖ ⅘ ⅔ ¾ ≠− H ≤≠− +⅞‰≠− +⅘ ⅝+⅔⅘≠H ≤≠− = ≈≤⅞≠=√ = ≠−⅖−% ¾ ∂≠− ≈≤⅘H ×−+⅞ ⅔⅘≥∞Ĺ Ĥ ⅛ ÷⅞=‰+≈H +⅘ +⅘ ¾×⅘÷¾−% ×÷ℓ⅗⅔≠∞ ¾− ¾=√‰≈∫ =¾⅘≠√¬≈∫=√ >⅘÷+∫Ħ ₎⅜⅘Ĥ≠− ×−⅝⅔⅜⅞ ‰−÷⅞⅜−÷⅔ ÷⅔⅝⅜⅔ ⅞=∞ ‰÷⅞‰⅞H ¾−% ⅞ ×⅘÷⅘≥ ⅘× =−⅖⅔≤∞⅞> ⅔×Ħ Ĥ −>−⅚⅘H ×−÷⅔ ×−≠−÷−×⅞≠∞=√H ≠ℓ −=≠⅔⅘≥∞=√Ĺ =×÷−=⅞ ∂ Ħ Ĥ ⅔H √ ¾=⅘Ĥ≠⅔‰⅞ ¾ℓ÷−= ⅝⅜⅘=∞H +− ≠ℓ +⅘ ¾− +≈%=√ Ĥ √ ¾=⅘ =‰⅔⅚≈H ≤≠− ≠ℓ ×−⅗⅞⅖ ÷⅔⅜⅞ +⅔≈‰⅞ −=‰⅔ ⅞ =√ ⅗+− Ħ Ĥ ₍=⅘ ¾ℓ>−⅜⅞≠∞ = ×−⅜+√≠ℓ ⅞ ÷≈‰⅔ ⅞ ⅝⅔ ⅔√ ‰− ⅔+⅜⅞÷ ₍− ‰−⅜⅔¾ ⅞⅝Ĥ×−⅜ ⅝⅔‰÷ℓ≠−% ⅜¾⅘÷⅞Ħ Ĥ ⅔⅜+−H +⅘ =‰≈≤⅔% ×÷−⅞⅝+⅘= ⅗⅘÷−%H ⅞ −+⅞ ‰÷⅘׉− ×−⅚⅔ ⅞ ⅜÷≈⅗ ⅜÷≈⅗≈ ÷≈‰⅞Ħ ∂ ¾=≠≈×⅞ ¾ ×− −=≈ =¾⅘≠⅔Ħ Ĥ ĦĦĦ⅛ =‰⅔⅝⅔ − ×⅔≠ℓ%Ë ×÷−÷⅘¾⅘ ₍− ‰−⅜⅔¾ ⅞ −‰÷≈⅚⅔∫¬⅞% ⅞÷ ⅝⅔ ⅞ ⅔ ≠⅘ +−≠⅔ĦĦĦ ₍×÷−≤⅘ H ×√≠+− =¾⅘≠⅔ +⅔⅜ ⅗− −¾−% +⅞‰≈⅜⅔ +⅘ ⅞=≤⅘⅝ − ≠∂∂∂+Ë ×−⅝¾⅔ ⅗⅘÷−% ¾ +⅔⅜⅘⅚⅜⅘ ≈= ℓ≥⅔≠∞ −≠¾⅘≠Ħ ×⅘÷¾⅔H +⅞≤⅘⅗− +⅘ ×÷−⅞=>−⅜⅞ −H ⅝⅔≠⅘ H ‰⅔‰ ¾ × ⅘⅘÷⅘ = =⅘¾≥⅞ ⅞ ⅖⅔≠⅔÷⅘%‰⅔ ⅞H =≠⅔ ⅞ = ℓ≥+ℓ ‰÷⅔%+⅘ ⅘⅜ ⅘++ℓ⅘ = −¾⅔H ‰−≠−÷ℓ⅘ ÷⅔⅝ −≠ ÷⅔⅝⅔ =≠⅔+−¾⅞ ⅞=∞ −≠≤⅘≠ ⅞¾⅘%H +⅔÷⅔¬⅞¾⅔√ ⅔ × ⅞≠≈⅜≈ ⅞ ¾ℓ=−≠≈Ħ Ĥ Ë Ĥ Ë Ĥ ₋₋ ¼Ë Ĥ ℓ +⅘=⅘≥∞Ĺ ∂ −×⅘≥⅞ H ≈⅝+⅔¾ ⅝+⅔‰− ℓ% ⅗− −=J Ĥ ≠∂+ ∂≠⅞ĹË Ĥ ⅔‰−% √ ≠⅘⅖⅘ ≠∂+Ĺ −>H ∂ H ‰÷⅘׉− ≠⅘⅖√ ×÷⅞ −⅚⅞ −H ⅜⅔¾⅔% ¾ℓ⅖⅞÷⅔≠∞=√ ≤≠−Ĥ ⅞ ⅞⅝ ∂≠−% ⅜ℓ÷ℓĦ ₎⅘÷−% ×−≥⅘¾⅘ ⅞ =√ Ĥ ×√≠+− =¾⅘≠⅔ +⅔¾⅘÷>≈ ⅜÷−⅗+≈ − ⅞ ×−× ℓ −Ħ ⅘÷≠H −‰⅔⅝ℓ¾⅔⅘≠=√ ∂≠− ⅜ℓ÷‰⅔H −≠‰≈Ĥ ⅜⅔ √ =∫⅜⅔ =¾⅔ ⅞ =√ Ĥ +⅔‰−+⅘± ⅜−≥ − ⅜− ∂ ⅔Ħ ₍=⅘ ≠⅘ − ≈⅚⅔=+− ⅖− ⅘ −H ¾ ≈≥⅔> =≠−√ +⅘¾ℓ+−=⅞ ℓ% ⅝¾−+Ħ ⅔ ⅗+−¾⅘+⅞⅘ ×⅘÷⅘⅜ ⅗ ⅔⅝⅔ ⅞ ¾=⅘ ×−× ℓ − ⅞ ×÷√ − ×⅘÷⅘⅜ ⅗⅘÷−⅘ ¾+⅘⅝⅔×+− ¾−⅝+⅞‰ −⅖÷⅔⅝ ¾− ≥⅘⅖+⅞‰⅔ ¾ ≠÷⅘+⅞‰⅔>Ħ Ĥ ÷−=≠⅞H ×−⅚⅔ ≈%=≠⅔H =ℓ+−‰H =−¾=⅘ ⅝⅔⅖ℓ ×−×÷−=⅞≠∞H ≠ℓ +⅘ −⅗ ⅖ℓ ¾ℓ+⅘=≠⅞ ≈=−÷Ĺ ∂ ⅝⅔⅚ ≈÷⅞ =√ ⅞ ⅖ℓ=≠÷− ⅝⅔≠÷√= ⅗− −¾−% Ĥ ¾⅞⅜⅘+⅞⅘ ÷⅔=≠¾−÷⅞ −=∞ ¾ ÷⅘⅔ ∞+−=≠⅞Ħ + =+−¾⅔ ⅘⅚⅔ ×⅘÷⅘⅜ ×√≠+− =¾⅘≠⅔ ¾ =≠⅔÷−% ⅝⅔⅖÷−≥⅘++−% ≥⅔>≠⅘Ħ ≠÷≈⅜− ×−⅜+√¾≥⅞=∞ +⅔ +−⅗⅞H ⅖−÷√=∞ = ⅗− −¾−‰÷≈⅚⅘+⅞⅘ ×⅔÷⅘+∞H ×−≥⅔≠ℓ¾⅔√=∞H −⅖ −‰−≠⅞ =√ +⅔ =≠⅘Ĥ +≈Ħ − ⅗−Ĥ ⅞ −+ ≠⅔‰ ×÷−=≠−√ Ĥ ⅖ℓ − +⅘⅞⅝¾⅘=≠+−H −⅜+⅔‰−H +⅔‰−+⅘±H =−⅖÷⅔¾≥⅞=∞ = ℓ= √ ⅞H ⅗⅘÷−% =⅜⅘ ⅔ ≥⅔⅗ ¾×⅘÷⅘⅜ ⅞ ×−≤≈¾=≠¾−¾⅔ H ‰⅔‰ =⅞ ℓ ‰ +⅘ ≈ ¾−⅝¾÷⅔¬⅔∫≠=√Ħ ₍×⅘÷⅘⅜⅞ ×−√¾⅞ =√ ≠⅘ +ℓ% ×÷−⅘ ⅞ =≠÷⅔≥+⅔√ ⅜−⅗⅔⅜‰⅔ ¾+⅘⅝⅔×+− −⅝⅔÷⅞ ⅔ ∂ ⅔Ħ + ¾⅝⅗ √+≈ +⅔ ≤⅔=ℓ Ĥ ¾÷⅘ √ ×−‰⅔⅝ℓ¾⅔ − ÍĨJÏĪĦ + ≈=×⅘ ¾−¾÷⅘ √ Ĥ ⅞÷H ÷⅔==≤⅞≠ℓ¾⅔∫¬⅞% +⅔ ∂<<⅘‰≠ +⅘−⅚⅞⅜⅔++−=≠⅞H ⅖ℓ +⅘−⅚⅞⅜⅔++− ≈⅜⅞¾ ⅘+ ⅞ =⅔ H ‰−⅗⅜⅔ ≠√⅚⅘ ⅔√ ÷≈‰⅔ ∂ ⅔ ÷⅘⅝‰− −≠‰÷≈≠⅞ ⅔ ⅘ ≈ ⅗− −¾≈Ħ ⅝ ×÷−>−⅜⅔ ¾×⅘÷⅘⅜⅞ +⅘= − =ℓ÷−=≠∞∫ ⅞ = ⅘÷≠∞∫H ≠∞ ⅔ ⅝⅔ ⅔+⅞¾⅔ ⅔ ⅖⅘⅝⅝≈⅖−% ≈ ℓ⅖‰−%H ⅔ ⅗⅜⅘Ĥ≠− ⅗ ≈⅖−Ĥ ‰− ¾+≈≠÷⅞ = ℓ≥⅔ =√ ≥≈ ¾−⅜ℓH ×−>−⅚⅞% +⅔ ≤∞⅞Ĥ≠− =⅜⅔¾ ⅘++ℓ⅘ ÷ℓ⅜⅔+⅞√Ħ Ĥ ₋ ¾−≠ ⅞ ÷⅔≤+−⅘ ×−⅜⅝⅘ ⅘ ∞⅘H √ ¾⅘÷+≈ =√H ⅜⅘≠‰⅔Ë ≠⅘ +−≠⅔ ×−⅗ −≠⅞ ⅔ ⅘⅗− <⅞⅗≈÷≈H ⅞≥∞ ≠− ∞‰− ‰÷⅔=+ℓ% ‰−+≤⅞‰ ⅝⅔⅚⅚⅘++−% =⅞⅗⅔÷ℓ ⅘¬⅘ ‰⅔‰−⅘Ĥ≠− ¾÷⅘Ĥ √ ⅘ ∞‰⅔ ¾ ⅗ ≈⅖⅞+⅘ ‰−÷⅞⅜−÷⅔H +− =×≈=≠√ ⅗+−¾⅘+⅞⅘ ×÷−×⅔ ⅞ −+ĦĦĦ

≠÷Ħ ÏIJ

I > …pÉêáçìë qáãÉŸ

I

I K K

I J K K

₍−×÷−= ×⅘÷¾ℓ%

÷⅞¾⅘≠Ë ‰⅔⅚⅞≠⅘H ×−≤⅘ ≈ ¾ℓ×≈=‰⅞ ŐØ ¾ℓ>−⅜√≠ ≠⅔‰ ⅘⅜ ⅘++−Ĺ ⅘⅚⅜≈ ×⅘÷¾ℓ ⅞ ¾≠−÷ℓ +− ⅘Ĥ ÷− ×÷−≥ − ≈⅚⅘ ⅜−<⅞⅗⅔ ¾÷⅘ ⅘+⅞Ħ ‰−⅗⅜⅔ ¾ℓ =⅜⅘Ĥ ⅔⅘≠⅘ +−¾ℓ% ¾ℓ×≈=‰Ĺ ÷⅞¾⅘≠Ħ ≈H ≤≠− ℓ −⅚⅘ =‰⅔⅝⅔≠∞ĦĦĦ ⅘ − ¾ ≠− H ≤≠− = ŐØ ¾=⅘⅗⅜⅔ ×÷−⅞=>−⅜⅞ ⅞ ‰⅔‰⅞⅘Ĥ≠− +⅘−⅜+−⅝+⅔≤+ℓ⅘ =⅞≠≈⅔±⅞⅞ ⅞ ×÷−⅞=≥⅘=≠¾⅞√H ≠⅔‰ ≤≠−H −⅖℮√=+⅞≠∞ ⅝⅔Ĥ ⅜⅘÷⅚‰≈ +− ⅘÷−¾ ¾ ⅜¾≈> = −¾⅔> +⅘ ×− ≈≤⅞≠=√Ħ − ℓ ×−×÷−⅖≈⅘ Ħ ₍−Ĥ×⅘÷¾ℓ>H =≠−⅞≠ =÷⅔⅝≈ −≠ ⅘≠⅞≠∞ ≠−≠ <⅔‰≠H ≤≠− ⅚≈÷Ĥ +⅔ ⅜⅘ ⅔⅘≠=√ +⅔ ⅔⅖=− ∫≠+− ⅗− − ∂+≠≈⅝⅞⅔⅝ ⅘H ×÷⅞Ĥ ≤⅘ ∫⅜∞ ⅞H ⅜⅔ ⅘‰⅞ ⅞ −≠ ⅚≈÷+⅔ ⅞=≠=‰−% =÷⅘⅜ℓĦ ₍ ÷⅘⅜⅔‰±⅞⅞ +⅘≠ ∫⅜⅘%H ‰−≠−÷ℓ⅘ ×÷−<⅘==⅞−+⅔ ∞+− ÷⅔⅖−≠⅔∫≠ ¾ =<⅘÷⅘ ×⅘≤⅔≠+ℓ> Ħ −≠⅞ ⅝⅔ ⅘≠⅞≠∞H ≤≠− ×⅘÷¾ℓ% ¾ℓ×≈=‰ ¾−−⅖¬⅘ ⅗−≠−¾⅞ =√ ‰ ¾ℓ>−⅜≈ ×−Ĥ ≤≠⅞ ±⅘ ℓ> Ĭ ⅘=√±⅘¾Ħ ₌ℓ − ⅜−¾− ∞+−Ĥ≠⅔‰⅞ = −⅚+− ÷⅔⅝−⅖÷⅔≠∞=√H ‰⅔‰ ⅜⅘ ⅔≠∞ ≠≈ ⅞ ⅞ ⅞+≈∫ ¾⅘¬∞H ‰⅔‰⅞⅘ ⅔Ĥ ≠⅘÷⅞⅔ ℓ =−⅖⅞÷⅔≠∞H ‰⅔‰ ⅞> ×÷⅔¾⅞ ∞+− ×−⅜⅔≠∞ ⅞ ≠⅔‰ ⅜⅔Ĥ ⅘⅘Ħ − ¾=⅘ ≈ ∂≠− ≈ ×−⅜ ⅘≥⅞¾⅔ ⅔=∞ ⅖⅔+⅔ ∞+⅔√ ‰≈Ĥ ≠⅘÷∞ ⅔H ⅔ ×⅘÷¾−⅘ ¾÷⅘ √ ÷⅘⅜⅔‰≠−÷⅔ ¾−−⅖¬⅘ ⅖ℓ − = −⅚+− =−⅖÷⅔≠∞=√ ⅞ −=¾−⅞≠∞=√Ħ ₍−Ĥ¾≠−÷ℓ>H =−=≠⅔¾ ÷⅘⅜⅔‰±⅞⅞ ≤⅔=Ĥ ≠− ⅘+√ =√H ⅝⅔ ¾=Ω ¾÷⅘ √ =≈¬⅘= ≠¾−¾⅔+⅞√ ⅚≈÷+⅔ ⅔ ≈ +⅔= = ⅘+⅞Ĥ −=∞ ±⅘ ℓ> ≤⅘≠ℓ÷⅘ ⅗ ⅔¾+ℓ> ÷⅘Ĥ ⅜⅔‰≠−÷⅔Ħ ⅔‰⅚⅘H +⅘−⅜+−‰÷⅔≠+− ⅜⅘ ≈ ⅘≥⅔ ⅔ −⅖ℓ≤+⅔√ ≤⅘ −Ĥ ¾⅘≤⅘=‰⅔√ ⅘+∞Ħ

₍⅜−⅖⅔¾−‰H ≤≠− ¾ℓ ⅘¬⅘ >−≠⅞≠⅘ −≠ ‰− ⅔+⅜ℓH ‰−≠−÷⅔√ =−Ĥ =≠−⅞≠ ⅞⅝ Ĭ Ĥ İ ≤⅘ −¾⅘‰Ĺ ≈H ⅔ ¾Ĥ≠÷⅘≠∞⅞>H ×− ÷⅔⅝ ⅞≤+ℓ ×÷⅞≤⅞+⅔ ÷⅘⅜⅔‰±⅞∫ ×−Ĥ ‰⅞+≈ − +⅘=‰Ĥ‰− ≤⅘ −¾⅘‰H ⅞ ×−= ⅘ ¾ℓ×≈=‰⅔ ¾≠−÷−⅗− +−Ĥ ⅘÷⅔H +⅔≤⅔ =√ ⅝⅔=≠−% ⅞ ⅚≈÷+⅔ ⅖ℓ −≠ −⅚⅘+ ¾ ⅜⅔ ∞+⅞% √¬⅞‰Ħ ⅔++ℓ% ⅚⅘ +− ⅘÷ Ĥ ≠÷⅘≠⅞% Ĥ −⅚+− +⅔⅝¾⅔≠∞ +⅘Ĥ −<⅞±⅞⅔ ∞+ℓ H ≠⅔‰ ‰⅔‰ −+ ⅖ℓ =−⅝⅜⅔+ ≈⅚⅘ +⅘ −÷⅞⅗⅞Ĥ +⅔ ∞+ℓ =−=≠⅔¾− ÷⅘⅜⅔‰±⅞⅞H ⅔ =≠−÷−++⅘%H ⅞+⅞±⅞⅔≠⅞¾Ĥ +−% ⅗÷≈××−% ∫⅜⅘%H ⅖− ∞≥⅔√ ≤⅔=≠∞ ‰−≠−÷ℓ> ¾ =−⅝⅜⅔+⅞⅞ ×⅘÷¾ℓ> ¾ℓ×≈=‰−¾ ŐØ ≈≤⅔=≠⅞⅘ +⅘ ×÷⅞+⅞ ⅔ ⅔Ħ =≠⅔≠⅞H ⅞ ⅘++− ×− ∂≠−% ×÷⅞≤⅞+⅘ ×−‰⅔ = −⅚+− =‰⅔⅝⅔≠∞H ‰−⅗⅜⅔ ¾ℓ%⅜⅘≠ = ⅘⅜≈∫¬⅞% ¾ℓ×≈=‰H ≠Ħ‰Ħ +⅔ ⅘¬⅘ +⅘⅞⅝Ĥ ¾⅘=≠+−H ‰⅔‰ ¾−=×÷⅞ ⅘≠ ×≈⅖ ⅞‰⅔ ⅜⅔++ℓ% +− ⅘÷ ⅚≈÷+⅔Ĥ ⅔H ⅞ +⅘ ¾⅘÷+⅘≠ ⅞ −÷⅞⅗⅞+⅔ ∞+⅔√H =≠⅔÷⅔√ ÷⅘⅜⅔‰±⅞√ ¾ℓĤ ×≈=‰ +−¾ℓ> +− ⅘÷−¾ ¾ =¾−⅞ ÷≈‰⅞Ħ

₍−×÷−= ¾≠−÷−%

−≤≈H ≤≠−⅖ℓ −⅖− +⅘ ≠−⅚⅘ +⅔×⅞=⅔ ⅞ ¾ ⅚≈÷+⅔ ⅘Ë ⅔‰ ×−×⅔=≠∞ +⅔ =≠÷⅔+⅞±ℓ ŐŤŲÙŬẀV ØÙÜŤĹ √≠∞ = × ∫=− ⅔¾≠−÷≈ ¾−×÷−=⅔Ħ −×⅔=≠∞ +⅔ =≠÷⅔+⅞±ℓ ⅚≈÷+⅔ ⅔ ⅜−¾− ∞+−Ĥ≠⅔‰⅞ +⅘ = −⅚+−Ħ =≠∞ ≠÷⅞ ×≈≠⅞H ‰−≠−Ĥ ÷ℓ ⅞ ¾ℓ −⅚⅘≠⅘ ⅜−⅖⅞≠∞=√ ∂≠−⅗−Ħ ⅘÷¾ℓ%Ħ ₍ℓ −⅚⅘≠⅘ ×÷−=≠− −≠×÷⅔¾⅞≠∞ ×⅞=∞ − =− =¾−⅞ ⅞+≠⅘÷⅘=+ℓ ¾−×÷−=− ¾ ÷⅘⅜⅔‰±⅞∫H ¾ ÷≈⅖÷⅞‰≈ ₎−÷√≤⅔√ ⅞+⅞√ Ħ −⅜−⅚⅜⅞≠⅘ +⅘ +−⅗− ¾÷⅘ ⅘+⅞ Ĥ ⅞ ⅖⅔±Ë ₍⅔≥ ¾−Ĥ ×÷−= ⅞ −≠¾⅘≠ +⅔ +⅘⅗− ⅖≈⅜≈≠ −×≈⅖ ⅞‰−¾⅔+ℓ ¾ ŐØĦ ₍≠−÷−%Ħ = ⅞ ¾ℓ ⅗÷⅔ −≠+ℓ% ≤⅘ −¾⅘‰H >−÷−≥− ⅞ ⅞+≠⅘Ĥ ÷⅘=+− ×⅞≥⅘≠⅘Ĝ⅞ ⅗−≠−¾ℓ ÷⅔⅖−≠⅔≠∞ ⅖⅘=× ⅔≠+−ĞH ¾ℓ −⅚⅘Ĥ ≠⅘ ×−×÷−=⅞≠∞=√ +⅔ ÷⅔⅖−≠≈ ¾ ÷⅘⅜⅔‰±⅞∫ ⅚≈÷+⅔ ⅔Ħ ⅔×⅞Ĥ ≥⅞≠⅘ +⅔ ×⅞=∞ −H ÷⅔==‰⅔⅚⅞≠⅘ +⅘ +−⅗− − =⅘⅖⅘ ⅞ − ≠− H ≠÷Ħ ĪÌ

− ≤⅘ ¾ℓ >−≠⅘ ⅞ ⅖ℓ ¾⅘¬⅔≠∞ =− =≠÷⅔+⅞± ⅚≈÷+⅔ ⅔H ⅞ ¾−⅝ −⅚+−H ¾ = ⅘⅜Ħ ¾ℓ×≈=‰⅘ ×−√¾⅞≠=√ ¾⅔≥⅔ =≠⅔≠∞√Ħ ≈ ⅞ ≠÷⅘≠⅞% ¾⅔÷⅞⅔+≠H =⅔ ℓ% = −⅚+ℓ%H +− ⅝⅔≠− ¾ ≠⅔Ĥ ‰− = ≈≤⅔⅘ ≈ ¾⅔= ⅘=≠∞ ≥⅔+= ⅞ ⅘++− ₍ Ĥ ₍₋ ¼ ¾ −⅜+− ⅞⅝ +− ⅘÷−¾ ŐØH ⅔ +⅘ ÷⅔⅖−≠⅔≠∞ ¾ +⅘ ⅞ ⅞ ×÷−=≠− −≠ ⅘≠⅞≠∞=√ ¾ −⅜+−% ⅞⅝ ÷≈⅖÷⅞‰Ħ ₍ℓ ¾×− Ĥ +⅘ −⅚⅘≠⅘ =≠⅔≠∞ −⅜+⅞ ⅞> ≠⅘> ∫⅜⅘%H = ‰−≠−÷ℓ ⅞ ℓ −⅚⅘ ×÷−¾⅘=≠⅞ ⅞+≠⅘÷¾∞∫ ⅞ ⅞ +⅔×⅘≤⅔≠⅔≠∞ =≠⅔Ĥ ≠⅘%‰≈Ħ √ ∂≠−⅗− ¾⅔ ¾=⅘⅗−Ĥ≠− +≈⅚+− ⅖ℓ≠∞ >−÷−≥⅞ H ⅞⅝¾⅘=≠+ℓ ¾ ‰− ∞∫+⅞≠⅞ ⅞ ⅞+≠⅘÷⅘=+ℓ ≤⅘ −¾⅘‰− Ħ ₍ℓ ⅜− ⅚+ℓ ⅖ℓ≠∞ ⅝⅔ ⅘≠+−% ⅞ +⅘−÷⅜⅞+⅔÷+−% ⅞≤+−Ĥ =≠∞∫H ≈ ‰−≠−÷−% ⅝⅔ × ⅘≤⅔ ⅞ ≈⅚⅘ ⅘=≠∞ >−≠∞ ‰⅔‰−%Ĥ+⅞Ĥ ⅖≈⅜∞ ⅞+≠⅘÷⅘=+ℓ% ×÷−⅘‰≠H ⅖≈⅜∞Ĥ≠− ‰⅔÷≠⅔H −⅜⅞<⅞‰⅔Ĥ ±⅞√H ‰⅔‰−⅘Ĥ+⅞⅖≈⅜∞ ×÷−⅞⅝¾⅘⅜⅘+⅞⅘ ⅞ ⅞ ≤≠−Ĥ≠− ⅜÷≈⅗−⅘H ⅔ ≠⅔‰⅚⅘ ⅝⅔= ≈⅗⅞ ¾ ‰− ∞∫+⅞≠⅞Ħ ₍−≠ ⅞ ¾=ΩĦ

₍−×÷−= ≠÷⅘≠⅞%

₋ +⅘ >−≠⅞≠⅘ ¾ℓ×≈=≠⅞≠∞ ¾⅞⅜⅘−Ĥ¾⅘÷=⅞∫ ⅚≈÷+⅔ ⅔ ⅞ ⅞ ⅞⅝⅜⅔¾⅔≠∞ ⅘¬⅘ ⅞ ⅔+⅗ ⅞%=‰≈∫ ¾⅘÷=⅞∫H ⅜ √ ŐŤŲÙŬẀV RŬŪŤH +⅔×÷⅞ ⅘÷Ĺ ¾≈≤⅞≠ ⅝⅔ ⅔+≤⅞¾−H ⅘= ⅞ ⅖ℓ +⅘ −⅜+− +− Ħ ⅞ ⅜¾⅔Ħ ⅔‰ ℓ ≈⅚⅘ ⅗−¾−÷⅞ ⅞ ¾ℓ≥⅘H ¾ ÷⅘⅜⅔‰±⅞⅞ ŐØ ÷⅔⅖−≠⅔⅘≠ +⅘ ≠⅔‰ ≈⅚ +−⅗− ∫⅜⅘%H ×÷⅞≤⅘ H +⅘‰−≠−÷ℓ⅘ ⅞⅝ ÷⅘Ĥ ⅜⅔‰≠−÷−¾ ¾ℓ×− +√∫≠ ×− ⅜¾⅘Ĥ≠÷⅞ −⅖√⅝⅔++−=≠⅞ ⅝⅔ ÷⅔⅝Ħ = ⅞ +⅔ ×÷⅞=×⅞≤⅞≠ =−⅝⅜⅔¾⅔≠∞ ¾⅞⅜⅘−Ĥ¾⅘÷=⅞∫ ⅚≈÷+⅔Ĥ ⅔H ≠− ≠−⅗⅜⅔ ×÷⅞⅜⅘≠=√ −≠‰⅔⅝⅔≠∞=√ −≠ ×⅘≤⅔≠+−%H ≠Ħ‰Ħ ÷⅘Ĥ ⅜⅔‰≠−÷⅔ ×−Ĥ ∫⅖− ≈ ×÷⅞⅜⅘≠=√ ≠÷⅔≠⅞≠∞ ¾÷⅘ √ ≠− ∞Ĥ ‰− +⅔ ≤≠−Ĥ≠− −⅜+−Ħ +⅔≤⅘ ⅚⅘ ℓ ⅖⅔+⅔ ∞+− +⅘ ≈=Ĥ ×⅘⅘ H ¾⅘⅜∞H ‰⅔‰ ⅞⅝¾⅘=≠+−H ⅝⅔ ⅜¾≈ √ ⅝⅔%±⅔ ⅞ ×−⅗−Ĥ +⅞≥∞=√ Ĥ +⅞ −⅜+−⅗− +⅘ ×−% ⅔⅘≥∞Ħ ×√≠∞ ⅚⅘H +⅔×− ⅞Ĥ +⅔⅘ H ≤≠− ∂≠−≠ ¾ℓ×≈=‰ ⅜⅘ ⅔⅘≠=√ ≈⅚⅘ +⅘‰−≠−÷ℓ ⅞ ⅜÷≈⅗⅞ ⅞ ∫⅜∞ ⅞ ⅞ ⅖≈⅜≈¬⅘⅘ ŐØ ⅖≈⅜⅘≠ ×÷−√=+√≠∞=√ ≠− ∞‰− ×−= ⅘ ¾ℓ>−⅜⅔ ≠÷⅘≠∞⅘⅗− +− ⅘÷⅔Ħ ≠− ‰⅔=⅔⅘≠=√ ⅔+⅗ −√⅝ℓ≤+−% ¾⅘÷=⅞⅞ Ĥ ≠− ≠⅔ ≠− ⅚⅘ =⅔Ĥ −⅘Ħ ₋≈⅜⅞≠−÷⅞√ ⅘÷∞⅘⅝+−% −+ℓ ⅜−¾− ∞+− =×⅘±⅞Ĥ <⅞≤+⅔H −≠ ⅞≤⅔⅘≠=√ −≠ +⅔≥⅘% ÷≈==‰−√⅝ℓ≤+−% ×≈⅖ ⅞Ĥ ‰⅞Ħ ⅔ ×÷⅞⅜⅘≠=√ +⅘ ≠− ∞‰− ×⅘÷⅘¾−⅜⅞≠∞ ¾ℓ×≈=‰⅞ +⅔ ≤≈⅚≈∫ −¾≈H +− ⅘¬⅘ ⅞ ⅔⅜⅔×≠⅞÷−¾⅔≠∞ ⅞> ×−⅜ ⅘=≠+≈∫ ⅔≈⅜⅞≠−÷⅞∫H ⅝⅔ ⅘+√≠∞ ≤≠−Ĥ≠−H ⅔ ≠− ⅞ ¾−¾Ĥ =⅘ ÷⅔=≥⅞÷√≠∞=√Ħ ⅔×÷⅞ ⅘÷H ⅜⅘Ĥ ⅔≠∞ ⅞+≠⅘÷¾∞∫ = ⅘=≠+ℓ ⅞ ⅔×Ĥ ×⅘÷⅔ ⅞ ⅞ ×÷−≤⅞ ⅞ ⅞⅝¾⅘=≠+ℓ ⅞ ₋ ⅞≤+−=≠√ ⅞Ħ ¾−−⅖¬⅘ ŐŤŲÙŬẀV ØÙÜŤ Ĥ ∂≠− +⅔≥⅔ ⅞⅜⅘√Ħ ₋ ⅖≈÷⅚≈⅞ ×⅘÷⅘⅖∞∫≠=√Ë

₍−×÷−= ≤⅘≠¾⅘÷≠ℓ%

₋ −⅚+− ⅞ ⅜−⅖⅔¾⅞≠∞ ÷≈⅖÷⅞‰≈ ×− ŐNMÍH ≠⅔‰≈∫ ⅚⅘H ‰⅔‰ ⅞ ŐMOĹ −⅚+−H +− ¾=Ω ⅝⅔¾⅞=⅞≠ −≠ ≠−⅗−H +⅔=‰− ∞‰− ∂≠⅔ ÷≈⅖÷⅞‰⅔ ⅖≈⅜⅘≠ ¾−=≠÷⅘⅖−¾⅔++⅔ ⅞ ⅝⅔>−≠√≠ ⅞ =⅔ ⅞ ÷⅘⅜⅔‰≠−÷ℓ =−⅝⅜⅔¾⅔≠∞ ≠⅔‰⅞⅘ =≠⅔≠∞⅞Ħ ₍ ∂≠− +− ⅘÷⅘H ‰ ×÷⅞ ⅘÷≈H ≈ +⅔= +⅘ >¾⅔≠⅔ − ⅜−=≠⅔≠−≤+− ¾÷⅘ ⅘+⅞ ⅞ ∫⅜⅘%H ⅔ ×−≠−Ĥ ≈ ×÷⅞≥ −=∞ ⅞=×− ∞⅝−¾⅔≠∞ =≠⅔÷≈∫ =≠⅔≠∞∫ ×÷⅞⅗ ⅔≥⅘+Ĥ +−⅗− ⅔¾≠−÷⅔Ħ

₍−×÷−= ×√≠ℓ%

⅔‰ +⅔=≤⅘≠ ×−=≠⅞≠∞ +−¾−=≠⅞ = ⅝⅔÷≈⅖⅘⅚+ℓ> =⅔%≠−¾Ĺ ₍−⅝∞ ⅘ +⅔ ⅝⅔ ⅘≠‰≈H −⅜+⅔‰−H ‰⅔‰ ℓ ≈⅚⅘ ×⅞=⅔ ⅞ ÷⅔Ĥ +⅘⅘H ⅚≈÷+⅔ ⅖− ∞≥⅘ −÷⅞⅘+≠⅞÷−¾⅔+ +⅔ ÷≈==‰−√⅝ℓ≤+−⅘ ‰− ∞∫+⅞≠⅞Ħ

₍−×÷−= ≥⅘=≠−%

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≠÷Ħ ĪÍ

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