1(T):叫rh) =Lyy,∈R erst co ua,∈ Lydml ay-mmy.mhg ll‖|≤ Chalk2(9) lelr(g)≤ Chaha() le2()≤ Chuah(g) Convergence rate and reg ThT farm af thT pnaafs ar. Try similan iy fact i-Tyticalg ta thT farms af thTamanlspay-iyg pnaafs iy ay T'spadT-im Tysiay. HawT. TngthTbauy-fan lu ThullH1(9) is yaw marl-iffizult ta - Tri t dyatT thT mTsh regularity plays ay apart ayt ralll grlquiray g samT'glyTial taals that wl will yat taktthTtimtta T Tap hTiT. NT. TithTITssgiy thT Iy-gthT'samTh-Iply- TyaTas iy ayT'spaT imlysiay is rlm. Trl WT aay af must rlplarf thT w yarm with thT brakly ry yarang thus p T7mittiyg ITss rlgulan,. HawT. Tngas iu-iaatT- TanliTngthTrlal issuTiy highTh spazT-imTysiays is gTamltry-iy-uTT siygularitiTs. Iy thTaba TwTThplait thT result thatgif E L,dmd ay- m is amy. ThgthTy y TTssarily u E edmd da similan ssumptiay is requir- fan thT-ual prabllm assa ziat- with th 1Stimatil Of munsTgT. Ty fan m yay my. Th u might bTiy dml d- Tply-iyg ay, i gbut it will yat bTthTsasTiy gly Tnal fan ayy, E Ly dmz Just as iy aun simplTThamplTiy ayf'spazl-imTysiay dy whish wrplazta TIta-istrabutiay laa- at a paiyt which is yat a ya-Tothus abtaiyiyg my 1nglyaT' iy thTTy Th aran a rathTnthay hu gif u is yat iycydmd g aay. ThgTyitdsay iy thT yarm will- Tgna- Tta ho fan samTo 1. This THfTat zay bTmitigatT- by a- apti. Il rdfiy Tim Tyt giy which wTplazT pragnlssi Tly smallTh nITnlyts y Tan thTsiygularityg mmplysatiyg fan thTsmallTn Thpay lyt with a smallTn aluTaf h; thTrT ant alsa marl saphistiratT- praz- urls that way bT appliT-. Iy samT prabllms thTsiygularitils-amiyatl hawT Ingiy alitaiy ath1n prabllmsg thT siygulanitils arlf'lss impart ayt- thT'my 1nglyal natT'may bf'slaw but thT aystayts arsa small that thT-Tgra-T pTrfarmayalis yat absTr T- Th tPt fan Try small h day- hTyzT. Tiy small Transl WT yatr that if thT bauy-ary I is samT smaath fuy ztiay dthat isg m yat palygayall g thly high Th-an- Th isaparam Tric farmulatiays will rla. Th thT optimal an- Tn af my. Trg IyzT. 3 Output Fu ctiy=IR eo dul+cogs=eocnl+co uan,∈ dml ay-mmy.mhg➮✾➱✲✃ ❐❋❒✁❮✺❰✮Ï✶Ð➅Ñ✵Ò✶❒✁❮ÔÓ❡Õ❫Ö✜Ñ✵Ò✣❰✺Ö ×❫Ø☛Ù❵Ø♥Ú Û➫Ü✌Ý✳Þ➏ß❭à✄á✯â③ã✎ä✤åçæ è✭é✗ê✏ë❫ì◗í➔î ï✮ð✉ñ✵òôó àá✉õ✲ö✻÷✾ø➔ù✳ú✱ö➌ûðù✜ü➔ý✑þ➅ÿ ￾✁￾✂￾ ✄☎￾✂￾✁￾✝✆✟✞✡✠☞☛✍✌✎☛✑✏✓✒✍✔✂✕✗✖✙✘ ☛✑✄☎☛✑✏✛✚✜✔✁✕✢✖✓✆✣✞✡✠☞☛✑✌✤☛✥✏✒ ✔✂✕✢✖✦✘ ø✸ù✎ú ☛✑✄☎☛✥✧ ✒ ✔✂✕✗✖★✆✣✞✣✠á ☛✑✌✤☛✥✏✒ ✔✂✕✢✖✦✩ ✪✙✫ ✬✮✭✰✯✍✱✳✲ ✴✵✭✝✶✎✷✸✱✺✹✼✻✽✱✺✶✿✾❀✱❁✹❃❂✰✯✍✱❄❂☎✶✿❅✡✹❆✱❃✻✎❇✢❈❉❂☎✹❋❊●✯■❍❑❏▼▲❖◆P✯●❊◗✭✝✶✤❂☎❈❙❘ ❚❱❯ý❁❲ð➔ñ✜❳ ð❲P❨❯ý✳❩ñ✷ð✜ð❲■❬✯øñý ü➔ýñ✜❭ ❬●❪❳❪✂❫☛øñ ÿ✎❪❺ù❴❲♥ø➔û✑❨❵❪☛ú✺ý✦ù❀❨✜❪❺û✦ø✺❫✞ÿ✤❨ð ❨❯ý❁❲ð➔ñ✜❳❬ ð❲ ❨❯ý➞ûð➔ñ✪ñý❛❬●❩ ðù✎ú☎❪❻ù✢❜❝❩ñ✪ð✗ð❲■❬✓❪❻ù ðù✮ý❞❬❡❩✳ø➔û✕ýqú☎❪❳ý✕ù✢❬❡❪ðù❣❢✎❤ð❃✐ý✕ü✉ýñ ÿ❆❨❯ý❞❥ð❀❦ù✳ú❧❲ð➔ñ ☛✍✌♥♠ ♦❣♣ ✌✤☛✥✏❱✚▼✔✂✕✢✖ ❪✁❬✯ùð❃✐q❳❞ð➔ñý ú✸❪sr✼û❦❫s❨❵❨ð ú✺ýñ ❪❺ü➔ý➝õ♥ùð❨✪ý☞❨❯ý ❳ý❛❬❯◗ñý✼❜❦❫☛øñ ❪✂❨❭ ❩✸❫☛ø❭❬✯ø➔ù ❪❳❩ ð➔ñ❨✪ø➔ùt❨ ñ✷ð❫❻ý✰÷❅ÿ ñý✼✉❦❪ ñ ❪❻ù✸❜✈❬ð❆❳ý✇❜➔ý✦ù✮ýñø✺❫①❨ ð✜ð❫②❬✛❨❯ø❃❨ ✐ý ✐❪✂❫✁❫❫ùð❨✛❨✪ø❆③➔ý❞❨❯ý✇❨❡❪❳ý✇❨ð ú✺ý✦ü➔ý✥❫ð❩ ❯ýñý❀❢ ✪ý✕ü➔ýñ❨❯ý✥❫❺ý✼❬✜❬✦ÿ✸❪❻ù✳❨❯ý❖ý✕ù✎ú➅ÿ✸❨❯ý✵❬✪ø❳ý ✠ ú✺ý✼❩✎ý✦ù✳ú✺ý✕ù✎û✑ý✌ø❀❬✛❪❻ù ðù✮ý❝❬❡❩✳ø➔û✕ý ú☎❪❳ý✕ù✢❬❡❪ðù❄❪✁❬ ñý✦ûðü➔ýñý✦ú❣❢ ④ý û✕ø✸ù ð❲✯ûð❆❦✮ñ ❬✷ý ñý✥❩✸❫☛ø➔û✕ý⑤❨❯ý Û✹á ùð✉ñ❡❳⑥✐❪✂❨❯ ❨❯ý✮❥ñ✷ð③➔ý✕ù Ûôá ùð➔ñ✜❳ÿ✙❨❯✝❦❬ ❩✭ýñ✜❳❪✂❨●❨✜❪❻ù✢❜⑦❫❺ý✼❬✜❬ ñý✼❜❦❫☛øñ✾ò ❢✤❤ð❃✐ý✦ü➔ýñ ÿ✜ø❆❬★❪❻ù✎ú☎❪❺û✦ø❃❨✪ý✦ú✼ýøñ ❫✂❪❺ýñ ÿ❀❨❯ý ñý✦ø✺❫⑧❪②❬❡❬❦ý❖❪❻ù ❯❪✂❜❯ýñ ❬❡❩✳ø➔û✕ý✓ú☎❪❳ý✦ù✢❬●❪ðù✗❬✎❪✁❬✿❜➔ýð❀❳ý✑❨ ñ✜❭❀⑨❪❺ù✳ú❦û✕ý✦ú❵❬●❪❺ù✸❜❦❫❺øñ❪✂❨❡❪❺ý✼❬✼❢❶⑩❥ù❵❨❯ý✵ø✺❥ ðü➔ý ✐ý✻ý✑þ☎❩✸❫ð❪✂❨✎❨❯ý ñý✼❬❦❫s❨❷❨❯ø✺❨✦ÿ✝❪s❲ ò✹ó à❹á õ✞ö✻÷ ø➔ù✳ú✼ö✡❪✁❬➸ûðù✜ü➔ý✑þ➅ÿ❃❨❯ý✕ù❱ù✮ý✦û✕ý✼❬✜❬✷øñ❪✁❫❭ ✌ ó Ûôá õ✞ö✻÷✵õ✲ø❝❬●❪❳❪✂❫☛øñ ø❆❬✜❬❦✸❳❩☎❨❡❪ðù⑤❪②❬ ñý❛✉❦❪ñý✦ú✳❲ð✉ñ ❨❯ý✿ú❦ø✺❫❸❩ñ✪ð❥✸❫❺ý❳ ø❆❬✜❬ð û✥❪❺ø✺❨✷ýú ✐❪s❨❯ ❨❯ý àá ý✼❬●❨❡❪❳ø❃❨✷ý✰÷✍❢ ❹❲sûð❆❦✮ñ ❬✷ý➔ÿ✗ý✕ü➔ý✦ù❧❲ð✉ñ ö ùðù✎ûðù✜ü✉ý✑þ ✌ ❳❪✁❜❯❨❱❥✎ý❞❪❺ù Û✹á õ✲ö✻÷qõ✲ú✺ý✥❩✭ý✕ù✳ú✸❪❻ù✸❜ ðù ò ÷✑ÿ☎❥❦❨✛❪s❨ ✐❪✁❫✂❫❵ùð❨✛❥✎ý❞❨❯ý❖û✕ø❀❬✶ý❞❪❺ù❄❜➔ý✕ù✳ýñø✺❫⑧❲ð➔ñ ø➔ù❭✱òôó à❹á õ✲ö✻÷✍❢ ❺❀❦❬●❨qø❆❬✙❪❻ù ð❆❦✮ñ ❬●❪❳❩✸❫❻ý✯ý✑þ✮ø❳❩✸❫❺ý❝❪❺ù ðù✳ý✵❬●❩✎ø➔û✑ý✯ú☎❪❳ý✦ù✢❬●❪ðù◗õ❙❪❺ù ✐✛❯❪☛û❯⑤✐ý✵❩✸❫❺ø✉û✑ý✿ø ú✺ý✼❫s❨ ø✓ú☎❪②❬◗❨ ñ❪✁❥❦❨✜❪ðù✇❫ðø➔ú ø❃❨sø✛❩ð❪❻ùt❨ ✐✛❯❪❺û❯ ❪②❬❵ùð❨➏ø✻ùð ú✺ý✉ÿ❛❨❯✝❦❬ ð❥☎❨✪ø❆❪❻ù✢❪❻ù✸❜❤ûðù✜ü✉ýñ❜➔ý✕ù✎û✑ý ❪❺ù✵❨❯ý✻ý✕ù✮ýñ❜❭ ùð➔ñ✜❳ ø❆❬❷❻✠ ñø❃❨❯ýñ ❨❯ø✸ù ✠÷✑ÿ❆❪✂❲ ✌ ❪②❬✁ùð❨✎❪❺ù Ûôá õ✲ö✻÷✑ÿ✉ûðù✜ü➔ýñ❜➔ý✦ù✳û✑ýqõ■❬✪ø❭÷ ❪❺ù✈❨❯ý Û➝Ü ùð➔ñ✜❳❑✐❪✁❫✁❫✭ú✺ý✼❜ñø➔ú✺ý❱❨ ð ✠✗❼ ❲ð➔ñ ❬ð❀❳ý❖❽❿❾➁➀❆❢ ❚❱❯❪②❬❹ý✥➂✭ý û✍❨✾û✕ø✸ù☞❥✎ý ❳❪✂❨❡❪✁❜✉ø✺❨✷ýú ❥❭ õ✲ø➔ú✮ø❆❩☎❨❡❪❺ü➔ý✰÷ ñý✑➃✳ù✳ý❳ý✕ùt❨✦ÿt❪❺ù ✐✛❯❪☛û❯❧✐ý✙❩✸❫❺ø✉û✑ýP❩ñ✷ð❜ñý✼❬✜❬●❪❺ü➔ý✼❫❭ ❬❳ø✺❫✁❫❻ýñ ý✼❫❻ý❳ý✦ùt❨✜❬ ù✳ý✦øñ ❨❯ý❵❬❡❪❻ù✢❜❦❫☛øñ ❪s❨❭ÿ✎ûð❆❳❩✎ý✦ù✢❬✪ø❃❨❡❪❺ù✸❜☞❲ð➔ñ ❨❯ý♥❬❳ø✺❫✁❫❺ýñ ý✕þ☎❩ðù✮ý✕ùt❨ ✐❪✂❨❯ ø☞❬❳ø✺❫✁❫❻ýñ ü✤ø✺❫❦ý ð❲ ✠❶✘ ❨❯ýñý✽øñý❞ø❆❫✁❬ð✳❳✿ð✉ñý✈❬ð❩❯❪✁❬●❨❡❪☛û✕ø✺❨✷ý✦ú➄❩ñ✪ð û✑ý✦ú❦✮ñý❛❬✦❨❯ø✺❨✌û✕ø✸ù✮❥✭ý✼ø✺❩✸❩✸❫✁❪❺ý✦ú✰❢♥⑩❥ù➅❬ð❀❳ý ❩ñ✪ð❥✸❫❺ý❳❬⑦❨❯ý❄❬❡❪❺ù✸❜❦❫☛øñ ❪✂❨❡❪❺ý✼❬✿úð❆❳❪❺ù✳ø❃❨✪ý ✘ ❯✮ð❃✐ý✕ü➔ýñ ÿ✤❪❺ù➴û✕ýñ❨✪ø❆❪❻ù ð❨❯ýñ ❩ñ✪ð❥✸❫❺ý❳❬✦ÿ✎❨❯ý ❬❡❪❻ù✸❜❦❫☛øñ ❪s❨✜❪❻ý❛❬ øñý❵❫❺ý✼❬✜❬✇❪❳❩ð✉ñ❨ ø✸ùt❨❞➆➇❨❯ý✼ûðù✜ü✉ýñ❜➔ý✕ù✎û✑ý ñø✺❨✷ý ❳ø❭ ❥✭ý☞❬●❫ð❃✐ÿ❣❥❦❨❝❨❯ý ûðù✢❬●❨✪ø✸ùt❨▼❬ øñý✛❬ð ❬❳ø✺❫✁❫☎❨❯ø✺❨✿❨❯ý✵ú✺ý✥❜ñø✉ú✺ý✦ú❵❩✭ýñ❲ð➔ñ✜❳ø✸ù✳û✕ý✓❪②❬ ùð❨ ð❥✗❬✶ýñü✉ý✦ú✯ý✑þ✮û✑ý✼❩☎❨✿❲ð➔ñ ü➔ýñ❡❭ ❬❳ø✺❫✁❫ ✠ õ♥ø➔ù✳ú ❯ý✕ù✎û✑ý ü➔ýñ❡❭ ❬❳ø✺❫✁❫➅ýñ✪ñ✷ð✉ñ ❬ ÷✍❢ ④ý ùð❨✪ý❿❨❯ø❃❨➈❪✂❲✵❨❯ý➄❥ ð❆❦ù✎ú✮øñ✜❭➊➉ ❪②❬➈❬ð❆❳ý➄❬❳❞ð✗ð❨❯ ❲❦ù✳û✍❨✜❪ðù✙õ❙❨❯ø✺❨➈❪✁❬✦ÿ➞ö➋❪✁❬ ùð❨❵❩ ð❫❭❜ðù✎ø✺❫✏÷❅ÿ✤❨❯ý✕ù ❯❪✂❜❯ýñ❡➌✞ð✉ñú✮ýñ ❪②❬ð❩✳øñø❳ý✥❨ ñ ❪❺û✈❲ð➔ñ✜❳✵❦❫☛ø❃❨✜❪ðù✢❬ ✐❪✁❫✂❫ ñý✦ûðü➔ýñ ❨❯ý ð❩✸❨❡❪❳ø❆❫ ð➔ñú✺ýñ✻ð❲sûðù✜ü➔ýñ❜✉ý✕ù✳û✕ý❆❢ ×❫Ø☛Ù❵Ø☛Ù ➍❧➎❶➏✼➐❸➎✽➏✈➑❶➎sÞ✽➒❆➏✼➓✲ã✎ÞsÝ✸➔♥æ è✭é✗ê✏ë❫ì✮→☎➣ ↔ý û✕ø✺❫✁❫❶↕✦➙✟➛✥➜✓õ✌÷❣➝➟➞✑➜✓ÿ⑧↕ ♣ ➙✡➛✥➜✓õ✌♣ ÷❶➝➟➞✑➜✛❢ ï✮ð✉ñ✵òôó à❹á õ✲ö✻÷✾ø➔ù✳ú✱ö➌ûðù✜ü➔ý✑þ➅ÿ ➠