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Map s Lin k Ġbound ary F N ] -( }\ {\| })\ },\ }] )+\ }^{* }/\ Ġa bs }\| )\] Ġ\( > _{* }}{\ \,\ { ^{+ }}(\ dy dz }< _{ ) })|\ E is Ġ nd }] |^{ tri ct ĠC I Ġt n Ġs tr })| >\ Ġ6 1 tion al Sp d })\| _ Ġequ ation E ff )| ,| })+\ |\ eigh bo {: } Ġ }))\] }(\ , Ġ\[ +| \,\ ,\, Ġy es && & F V L emma q T { }^{*}\ }^{+ }:=\ Ġma p . }} T ail in st da te })\ |.\] )) )-\ ci al ĠS t )}( -\ })| -| )}| |\ ni form orphi c C U D o x d }\ }}| ti mal tar get Ġ} <\ Ġ= -(\ _{* }; {\| }|\ 17 8 Ġ7 1 Ġbo th C ard f c Ġ line Ġ vertices _{ |_{ }|\ }\ Ġd q }}{( | 56 0 \ }|.\] i J n P x r Ġ })} Ġ hom sum ption ^{* }]\ {(}\ !\ =- (\ })] \\ 33 1 Ġoth er ) }}\| \ & \ }]\ q N lo cal Ġ& \\ ver se }^{( -\ )}{ }^{\ Ġc c _{- ,\ \[\| |\ }_{* }, \% ** X P ] ]= )\ }} )}\ {\ }}^{ {}^{\ }: &\ )^{\ # ĠA C st ep dy d \# _{ }+... +\ ke w D K E v R I T m \ }})\] q i Ġ ^{+ }| }{( }}\, , )},\ ; )}=\ {\ * , }\ }\,,\] }^{* }}=\ }\,\ |\,\ 19 4 19 7 c ell c cu i F x s }, (- })\ }=\ ), | Ġ\[= -( 20 48 ) })) s T se e }}| +\ )> ( )\! ,\] \,(\ , ML E G B \ }}) ] }\, }| )^{- Ġb ut }* |\ S y X u \ }]\] j oint k Q }\ }}(\ }) ]}\ }) [- op en )}\ }.\] ^{* }] }^{* })}{ {)}\ ;\ ĠS e }^{+ }|^{ _{+ }\|_{ Ġh igh }}^{* }-\ ;\;\ ; pa ra }^{* };\ }}| +| * )\ C ay F f \ }}_{ ] \| b er }_{ { }_{\ ! \) . })^{- ( })\, , Ġ\[+ |\ }\; :\; )* ( Ġsatisf ying G E Ġd R Ġo bs Ġsa me 0 45 se mi _{* })+\ Ġb d Ġal g = (-\ K F i cal ^{* }}) ]\ ,\] _{* })}\ Ġp q })_{ |\ )^{- }\ }(- )\ )}, ( | )|\ }^{* }))\ \, -\,\ )}( | }^{+ + +| | }}^{* })\] 25 5 den ti \ }; co rr }] ),\ {)}\ ! less approx 96 8 })= :\ )| &\ }[\ ,\ })\, :\,\ \[= (- ))}\ ,\ 9 00 = +\ J N }| ),\] }})^{ ( Ġ8 7 30 4 })}=\ |\ Ġdiv i }]\! ]_{ A k I B K f \ }& Ġ )}}\ {\ }}+ De c _{- })^{ Ġ$ (\ )}= (- 34 6 Ġla y 3 15 4 20 E R S ur c tr f y r A }( {}_{ }}\ },\ )}{ [ ^{+ + P O ex c |^{ |\ ^{* }{\ }] )^{\ }^{* })(\ )} }_{\ ]\ },\] })) .\ )\| +\ }) ):=\ })\ }_{\ ^{* }}| )) )- Ġ\( + 22 8 }_{* }\] },\, | Ġ8 3 }}] (\ XY Z }! }\] ! }}\ : ,\ F ind a T | })\ }}{ || \| , )) ,&\ )| : ) })=( : &\ E rror f ind h am }} ])\ la w }] )}\ Ġi h }^{+ }}{\ }^{+ })_{ ,\, |\ ,+ } 78 4 N u s L in ition )\ })\] }| || nu ll Ġ} > ca y }), ...,\ ^{*}\ ! }> _{ }< (\ ^{\# }\ Ġfunction s Ġsta te ] }}\] g m q f |\ }\] Ġ} /\ ĠL ie Ġc e ^{*}( ( con s lef tharpoonup }}: (\ ! }= w a \, + Ġt x })}\ }\] Ġ\, (\ / / ti es \| )\] ĠS H 18 5 Ġsin ce $ }\}.\] u rs }} })_{ })\ }= {) }},\] }] }^{\ {\{ }{\ )}=\ |\ black lozenge radi ent C p Ġ }}} )^{ (| ro l )) ,& ci ble }}] )\] tra ns Ġsy stem c R h m k f {[ ( )}+ | 27 6 arc tanh ( {}^{\ R U T G c H Ġ ]^{ Ġ curve in n }}) }{( pro xi ):=\ | 16 1 25 2 \( {}_{\ m R rc ll )+\ \ ĠN A }}- | )] \, 14 9 20 11 || |_{ )! \] }): (\ )$ }.\] - \] f inite | }\| to l }] > }] }, {| }> B s ] })= t E }) )|\] }) ;\\ \|_{ - Ġ} })\] bul k })( | )}_{ [ || } 18 8 _{\_ } N q s rc }\ }: }} }]\ am il }] )_{ _{( ( ) })| t J Ġ })_{\ Ġ }+\|\ }}) -( 00 11 }=( {\ )})\ |^{ 99 5 )^{* }(\ & + M p f b o in ro n ro ugh ĠG en flo w Ġ4 00 22 0 }}^{- } 36 7 Ġse c E d F a ;\ { Ġf irst ĠS M {[ }[ {|}\ { )] }( Ġ\[+\ | Ġ\[+ (- )< - 9 45 U p g B | =( }) ),\\ )) }^{\ }\| [ Ġd g lus ter }^{+ };\ 26 8 ĠProp osition 0 33 R y U S \ }),\ i rc Ġ |_{\ }) )-( }(\ !( ĠC x ss on }))\ }\] }\! 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( )^{+ }\] Ġresp ect i R m D ^{* }}}( {) },& }}) =- ), |\ ps chitz Ġis o }_{- })\ )}}{ {= ]}{ [ mis sible A Q N g f ar i sh ĠO ut \; =\;\ an nel 05 0 29 4 In c _{\# } Ġquad ratic c ross { }_{( Ġ })\,\ le c ri es }^{* }\| }:= (- 23 9 || | In j \}+\ { ĠAv erage D Y J E \ }}\,\ ^{ <\ )\ |^{\ \| :=\ }^{* }},\ Ġc over Ġe m {)}= \] }^{\# }( })&= &\ Ġreg ular T K X f ] })_{ s X u lation y a | & par se Ġra di + { , (-\ C z F lag }^{ <\ }) )}\\ }| |\] }] +( }}) },\ Ġ)\ |^{ 99 7 K os N H V D f k s pa Ġ )}-\ }} }=( }| }\,\ }| (| )) ;\ ĠG al Ġal gebra 21 4 ):= |\ 25 9 che me \; ,\\ ]{ [\ eri or asi s {}{ {}^{\ rid ge 3 13 I X Ġ }_{( ^{- }}^{\ }^{* }] Ġ2 50 )) )+\ _{* }:=\ ĠN S )\, +\, Ġ&&& &\ ]{[\ @@ > | M h T g | )}{| Ġ }+\| }\ }/ (\ (\ }}\ }=\ lo ss }, : ^{* })\|^{ }^{- },\] )) )_{ Ġi y Ġn b _{* })+ Ġ\[= \] Ġ- $ ĠP re };\ {\ })| }{|\ )\| +\| 03 9 }) )\,,\] ^{* ( })= &\ };\ { |\, ,\] Ġno des g b }) !\ si c co k }\|_{ {\ _{- }.\] )|^{ -\ vol u })^{* }.\] val u &* &\ $ }}\, ) }]^{\ < _{\ P Z }| )}\ ĠI rr Ġr k }; -\ per t }_{+ }+\ })| ,\ \[[ {\ \! =\!\ Ex c $ )}\] 0 56 J Z K r T a h ull o racle Ġ arc }} }(( )\ }+ }] { }^{( {\ Ġn ear )} . ]\ ;\ })( (\ Ġ* }(\ )\! -\!\ ! )^{\ 7 32 q w v q (\ {( }| |( )) ),\ Ġf in }\| - }}+ || ^{+ }\|_{ )}= [\ 01 00 04 4 ev al T an ^{\ {\ par t Ġf e }\|_{ *}^{ )_{ (\ ^{+ }}{\ ^{*} |_{ |}{ ** there fore ) _{* o o x n }) }},\ ti ce lin k }^{* }), }^{* }(- \, ^{ }}) )^{\ }|\ ) }|\ |\ Ġ\( {\ _{* }\|^{ Ġ}( ( |+\ | }{*}{ ** thick sim M z g c h z }\ }> )\ !\!\ Ġi id }[\ , ĠD E \) ** })| -\ Ġ+ }\ Ġ5 12 Ġdef inition las ses Ġhy per Ġinfinite ly D y c I t emp ,\ !\ }^{( * ĠB i _{* }}}\ })}\ .\] Ġg ood pt I }{( | }}{| |\ Ġre lative \[\# \{\ fi ed D b M d a Y }^{ {( }) }=-\ dy dt Re m )}_{ = Ġ}^{ -\ ...& ...& O B v ac (\ |( )\ })\ )= {}_{ ĠF M := - conv ex / _{ G ra c K m H p C ri cal su rd }^{- }\|_{ Ġt yp }|\ ,| dx dz {[ }{\ )\| +\|\ {< } ) }|}\ ; }\] ] }^{- h S i Q }: [\ Ġi c ĠF ig }}| }{ for mation )\| + 19 3 }}] \\ po ch Ġdi stance Ġset s ! }\, ) }]( c D }^{ !}\ in k ta il }} })( }] }{( Ġin j })\, .\ )})\ ,\ 27 5 35 4 26 378 A K F rac G V J x q l }} }]\] Ġ}\ }\ }}}\ { }^{+ }}| \[|\ {\ })^{- }\ 22 7 & =-\ B t Ġ sq er n }^{* }]\ )) [\ )) ]^{ }}) >\ Ġa x )| / }^{+ }}|\ liz ed & (- ) })}( C m F H ] ,( b A t G }) { _{\ {|\ }, ...\ }| [ ^{* *}\ {| }{\ _{+ }}\] {- -}\ 22 9 ): \| )}& = 0 36 F ib S GD W L \ }/ \ '{ ] })^{ r H u D Ġ },\\ ^{- }}{ {| (\ }),\ |\ )\, +\,\ )}| = )}\, | )\; ,\ Ġei ther ! =\!\ ] $ i tions o de Ġ }}}{\ Ġ ;\] }) })( }+ }\ }}{ [\ }| : }| }| )| -|\ ĠM C }}- {\ )& =( 32 9 000 2 100 1 x H }_{ ** {\ }}, na d ve nt 45 0 28 9 05 5 ni tial 98 9 + }}\ z G Ġ /( }^{ >\ Ġ1 50 }^{* }))\] {(}\ |(\ )}{ }^{ di sk Ġs m }^{+ }[ if ied ,- } 45 7 28 6 37 6 ]; \\ Ġprod uct C Q C v })\ |+ }] }|\ ), [\ Ġe nt 17 3 })] }{ cur v H B H V L w ] }[\ t st Ġ }}\|\ }\ }},\] }) ], )\ }=\{ se ction }-\ {\ Ġ1 10 )}{ =} ss ing ĠF ro \}\ },\] 20 2 Ġ\, | }_{< }( Ġdo main Ġsym metric . }}(\ R MSE W g }\ }}^{ }| _ \| >\ }^{* })}{\ Ġ2 000 Ġa cc re ction }^{+ }).\] )! ^{ 35 0 Pa rameter Ġfac tor H A \ }$ g w | )-\ }\ }}|\ }{ }{\ |\ ) }^{* *}\ or s ij l Ġ\( +\ ))\ ;\ Ġp erm })_{ (\ :\ : 24 9 32 5 xy x }\{\ |\ }|| |_{ 98 8 Ġparameter s < [ A h D eg H G J L e ig u tation ad ic ^{- }+\ }\| )^{ {)}\ ) })+ [ Ġin equality 24 1 \; =\; pr in }! }{ Ġse nse requ ency D own e b | )}{\ Ġ using Ġ= (( di mension }})\ }_{ )] |\ tt t )& := Ġof f [- ,- 26 9 04 7 )^{+ }}\ })}}{ {=}} ! _{ - },\ }} }},\ }, _{ }_{\ |\ }= {}^{ Ġ1 23 {) }>\ ĠB K }^{+ }: ĠD R })( [ Ġ- {\ ... ,( 17 1 icient ly / \|\ S yn V e c ro Ġ\ ,\, li s ^{* }}\, }] _{( })= & Ġd P }}, [\ Ġ| |_{ 18 2 }}^{+ }=\ subsetneq q !\!\!\!\ !\!\!\!\ sph eri ( +\ * },\ @ > B n E g N G U x k w s mooth u sion }- }\ })^{ +} Ġc ell ĠN L }* } 99 43 17 2 28 5 }}&\ \ tra n Ġse mi bi lity 0 64 S Y V W W r }| )( ĠL R }}+ [\ ]^{ <\ ord in )\! +\!\ po si G U S um }) )=- }}\ {( }, .. )=\ #\ }^{* }}= Ġa a {)}\ ;.\] ĠM ap ĠP er sta rt +| |\ sc l up per 37 7 },& ( be st 010 1 Ġcy cle ! -\!\ K p Z ar { ' Ġ })}\] }_{ /\ ver s }& [ ĠA T ĠI t ĠR o })\, |\ Ġ}{ |\ 2 99 H or L g a I g on s P }( ^{ ^{* }\, }] }+\ Ġc ri _{- }}{\ )| , }^{+ }|\ 26 5 Ġ{- }\ !\! \{ 499 886 Ġav g ta tions {) }-( }] ^{( }}_{ =: ĠN a ĠF ix )] / 29 8 \[\# (\ Ġini tial U A f tarrow s on Ġ\ },\ {\ #\{ }} }}=\ })\ ), ^{* }> Ġi p \, ;\, _{+ }}(\ Ġw eak 27 7 * [ H ull x R Ġ1 11 }\, - it x Ġv i {- (\ }_{+ }- 76 5 Ġmaxi mal B w a B b circ f X }) }/ )\ }\\ )= |\{ ),\ ;\; _{+ }\\ }< |\ 20 3 20 10 18 1 {|}_{ (\ ]\! ], MM SE ) }}^{- > ^{ V C k F Ġ }: Ġ )}+ }\ }<\ }( + }} }},\] =\ {\{ }=\ ,\ }}\, :\, V f g K p M {\ }}_{\ }} };\ }} }/\ }{ +}\ |\ {\ co de ĠA D }}, { ĠG ap 27 0 }]\! ] ^{! }_{ I E N il q A | })\] Ġ us Ġ\ @@ )\ }+\ pha se })\ {\ ^{* }}^{( }}) +(\ un it ĠH H \[|\ ,\ || = Gr p 39 5 ) }:=( P v Q X S ign f alse }\ }}=\ lo t }] \}\ Ġ} .\ Ġd h Ġg h }}\, |\,\ Ġ+ }( ([ -\ Ġinc reasing $ }\}\] . },\ P y R g h M Ġ )})\ }) }|^{ }} }}^{\ }= + Ġ& &- }| )= {) }[\ }^{* }}+\ ij t ĠA e Ġs trict ĠP S }}_{\ { deg ree mp e 48 8 ne ar ĠRe p Ġse cond Ġ{+ }( ! }+ 5 04 H U L s M AX | )}\] big uplus li ke ^{* })}\] )) )}\ ĠS u )\| =\| Ġ[ ( ,-\ , B I J J \ }}\| y q Ġ )},\] }) !( in ary ^{* }},\] }] _{+ }] /(\ }\| (-\ ĠA n _{( {\ }^{+ })- )\, ,\,\ ĠP T ^{+ }}\] }=(\ { dv dx 37 49 38 5 Per v GK dim Ġrepre sen z s }| }}{ }^{+ }:\ Ġ^{ [ };\ ; 19 1 }}^{+ })\ SL E * }=\ 4 37 E r R v V S a D u la y xy Ġ )}=\ Ġ cut }} }/ }}\ }= var Theta ĠC P ), + Ġd Y }}^{\ { \[\{ [\ Co b ĠMul ti K A ] )}{\ b lk c X Ġ ln _{ / }\ }\,\ }) )),\] }] ,\, }^{- }:=\ )) ].\] Ġa bo Ġd k .\ ,\ 12 23 ĠF P _{+ }| dv du Ġde nsity \[{ }^{( Ġmulti pli Ġsuff iciently & -( - { 0 31 C c ] }&\ c lass j T Ġ }}\] Ġi ter \, [\ }\| |\ _{* }| less dot Co nd lat ed ull i })\! =\!\ âĢ Ŀ ĠDi ag \ })-\ b ut f rom o id lo m )^{ (- }| }}{\ }] := ĠC D }}) }_{\ {| }< )} *\ ĠL S ĠS P (- | ĠD is ĠP I ^{+ }\\ }))\ |\ }_{- }\] }): \| }}] - 74 9943 ule r A a K dV M AP S g U LA \ })} a K h C p H | -( }\ }| }( ] Ġf ace \, ,&\ }\) . and om 32 7 ert y }\; :\;\ )< -\ 05 8 38 8 {, }\ )]= [\ Bi as Ġfi eld ! .\] & |\ }) )=-\ )\ }, |^{ | }}_{ +}\ Ġk m ĠS I 20 9 ], | )}}{ { ]+ (- }}(- , 29 5 Ġra tio We yl $ })\] e h f irst s core w h }{ }^{*} )\ !\! bo unded ds dx }] })\ )) }-\ ĠS ection Ġe stima }^{+ }\}\] Ġh ence ,- , 14 40 })) }+ ): \] 27 8 )}) ]\ |> | Ġuni que Ġcy c Mul t ; =\;\ < \| B matrix Q N V B c B m ld }) }}(\ }) }+( }} }^{(\ (\ !\!\ \,\ |_{ &- &- TM F Ġse p )$ },\\ })\; =\;\ \[\# ( cur rent do f verti ble ) }}}\] - }}\ 6 75 \ &\ z v Ġ })\] Ġ )] }} })}\ ^{- }.\] ĠC or Ġin put },\, |\ 36 9 ess sup Ġval ues ) }}\|\ H X L V b el { }> Ġ Pic _{ >\ le r }}\ # se nt )}\ ;.\] }^{* *}( Ġ\(\ {\ }}|\ , }}^{- }\] dr ds 33 7 30 5 26 0 Ġun it tm f ) }].\] ) }}}{{=}}\ B d N y ] /(\ h X ro ll {) }=(\ ĠC p ĠC ar ci sion }\| }{\|\ Ġ=\ , Ġ- |\ \[| [ ol ute |\, |\ res hold so rt so lid iz ed ),\,\ ,\, ment s Ġsing ular . &\ p la Ġ\ {(\ \[\ {- _{\ ,\ {| }_ _{* })-\ ))\ }\ Ġy x ĠK K Ġ)\ |_{\ )}) &\ Ad d |\! |\ \# \{ rcl rcl \|=\ |\ : .\] H O T Z n A Ġ )}- }) }}+\ ^{- }}(\ \, -\ Ġ- , ĠU p }=- {\ }\! :\! cd h no ulli 98 4 08 8 46 5 > +\ L an k R x B }} }^ )= { }] })\] Ġs n }^{+ })-\ Ġ}( -\ 98 5 }|> | $}} }}{\ lv l $ }, 6 78 = _{ H f v b v k Ġ limit }\ }|= }, {}^{ }= &-\ pi c }| )=\ ro und }^{- }\\ \|_{ -\ }^{* }}.\] )- \] ĠN C 34 9 }]=\ { Ġlo op Me an M GL X U \ }), o sed s B Ġ mu su rf )) }}{ _{* }/ }^{+ }/\ Ġb asis up omega \% \ }}/ (\ Ġdiff er 0 78 J T S v W H b D Ġ rt }) })-\ Ġ\ }\] ft er }] )+ Ġx z }\,\ |_{ Ġ( |\ _{+ }^{*}}\ \[\|\ ,\ })| |_{\ ))^{ *}\ 99 2 33 5 05 9 res sion ]- [\ nn z St k glo b b B b ic g roup x mapsto z d Ġ na }) }>\ }) ;( ar o ^{* }< ^{* })}( }] }_{ \| },\ )) }- Ġ} |_{ }}) }+ {| {\ }\| >\ Ġn or (- , /\ ! 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}{ }_{( bol ic ^{- })= Ġt A ĠS ize Ġ\( {}^{ Ġv s _{- })= Ġm k Ġal ong \[= : 33 33 (\| (\ |+\ |\ \# }\ : } B ad M X O A V T }} ;\\ +\ ; ^{- })^{\ }}) ;\ }|\ |_{ ]\ |^{ ĠT R Ġ\( [- ĠF or 33 9 }}& &\\ 39 2 }}\! =\!\ black triangleleft ens or ĠDe scription ĠLe b D p ] }=( a H s C | :=\ Ġ cos Ġ ^{*}(\ }\ }(\ }\ }]\ }) )=\{ }} },\\ de m }{ -}\ }^{* }< )- [\ \, )\] }}\, ,\\ Ġ6 00 30 9 },- , Ġan ti pq r )$ - MF C }|\! |_{ Ġup per ris tic lom orphic # \, + )\ 8 96 > = I Z J f K C O U Z C ti ble ^{\ | {( |\ )=\ #\{ ĠC ond )) )^{- )| }=\ ĠR T _{+ })=\ }\) ** +| ( }}^{* }- })] / },- )\ blk diag A cc G l V er ma j }) )}(\ }-\ \ }}^{ |\ }] )-\ Ġa u )}{ {\ _{- })}\ /\ !\ }_{+ })^{ 40 9 })\| <\ Ch ar })\! -\!\ J I N W \ }}}{ e o r X t ree w or Ġ )]\ }\ }< }( {}^{\ in x (\ ( Ġ\[= (( box minus }_{+ ,\ }}\, =\, not e ],\ ;\ lat tice 06 8 Ġre c Ġmini mal 6 55 K a P l f it n E ma nd al gebra ^{- })=\ )}\ |\] \| ,\| ĠC B }^{* }=-\ }\, -\ }}) ),\ Ġc m 12 13 10 11 }}-\ | })> ( LS I FF T ! }-\ , ...\] F u O O }} ]} hi s )) ;\] Ġ= :\ ĠL P }}- |\ })) ^ )}) / Sym p |\! 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}\,\ 04 3 Ġlo cally fi eld ei ch }}{{= }}( - ,\ 4 75 E ll o i r opy w n x Rightarrow ma tch }) [( me try )^{ [\ }}(\ ,\ {| }- Ġb ad {\| }+\ }}\, +\,\ ], & 36 6 }}:=\ | 04 2 96 9 38 6 98 7 RE S & , H Q ] )_{\ ] _{+}\ m E x c }) )}+\| -\ ( var triangleright Ġ1 0000 }] |_{ }^{- }}^{ )) /( re es }^{+ }}^{\ Ġh yp }}^{* }) )}) > 37 9 })]\ ! })^{* },\ Ġmod u Ġequ al $ }}}} & *\ , ...\ - }- : }&\ M Q O F r B u rce }( (( )\ # ^{* }}|\ ^{* ,*}( Ġc ross }}| ^{- 22 22 }}^{* }.\] uv w }^{\# } \)\ ( ĠBo und Ġparti tion Ġste ps $ }) B Q F v h L i V Ġ }}}( }( +\ lo pe ^{* }:= ^{* }}}\] ge o }& =(\ ĠA dd Ġs cal vec h )_{ -\ _{+ })- }}}{ [ };\ ;\ Ġ(\ { ab q rr rr 38 7 Cy l ) })}^{ C ut C au I Q M k T p T ree ] }}^{ Ġ am Ġ cal Ġ er (\ # )\ }- )\ |\,\ +\ |( par ity \| -\| }\, ,&\ Ġi v Ġ\[= -(\ ĠD om := | }}| ,\] il ar 15 00 28 1 aus s Ġprop er bit ra & ,\ 3 16 4 96 W Z u ps _{\ !\ si dual ad v tor y Ġf o }\| [\ }^{+ }=\{ Ġ{\ | 25 00 Ġ\, |\, ,* }_{\ N l R Z g A Ġ }=-\ }} }),\ }| -( ap x [\ {\ }] ), }\, :\ \, ;\,\ }}) |_{\ }}) -(\ Ġn k Ġc lasses ĠS ch Ġp n _{- }},\ )| )^{ ĠN T ĠR un _{+ })= {\{ }[ ))= \] }+| ( )}| |_{ ]+ \] }}\! +\! ĠCo nt Ġsing le Ġdivi des - ,-\ . }( C lo P K R Mod )}\ ,( ^{* }}\|\ }^{* }_{+ ^{( * )-\ ( Ġs ti _{- })=\ ĠE qu ik t }$ .}\ Ġde ri 38 1 78 8 0 76 K D O bs a C a F c losed j ac j oin z p { *} at es tar y }] )- }}_{ / Ġn c Ġs tab })- |\ })( |\ Ġin vertible 30 3 })/ {\ Min imize Ġ\(|\ ) ĠData set }&* \\ B ord N ull S X h q Ġ }^{* )\ ( }| )- }] )( Ġa ct ĠN eu ĠM A Ġ{\ { 16 00 \[[ -\ 34 1 98 0 06 7 46 6 Op en Tri v - }_{ J P J V L m \ })+\ c C f n t Z v g }) )& }} }}+\ }} })^{- }, -( }}{ = Ġ1 12 &\ | ĠA N ĠM N )/ {\ )! \, )! !( )}+ |\ 99 4 27 3 ea sible cop y Pri m Ġnet work ) }}\,.\] \ :\ h H s F s H z c { ` Ġ }+(\ }) )}{( }) }}{{=}}\ }] < )) _{( Ġi q ĠT HH \[\| (-\ \[\{ |\ })\, =\ Ġ\[+\ ,\ multi map ~{} ~{} measu rable . }}}{{=}} ; }\ L I Ġ )),\] Ġ argmin )\ }|\ qu asicoherent {( (\ Ġ& \|\ }\, :=\ })= -(\ \,\ {\ })- (- }^{+ ( }_{+ })}^{ ^{*} _ }_{* }^{( 25 1 33 0 44 1 Ġ{* })\ ty p tra p iz er ). ( {< }\ + }, 3 64 L c P os R O u N z A Ġ ],\ }) }]\] ar se &\ |\ Ġal go }}^{* }+ 56 5 }=\{\ , 79 5 07 2 {: }}=\ Ġabo ve 4 12 W S [ ]{ ] })^{\ ] _{+ { }^{*} { /\!\!/ Ġ }.\] Ġ }^{*} al k }} })-\ },\ ! na t tri p ),\ | Ġc b })}\ ) }^{+ }| ))= (- ): \\ \[\{\ , 27 4 48 6 }): | _{{}_{ [ def ined Ġ{* }}\ po rt IN V Ġcond itions conn ected B Y R Q o ci Ġ }}[ }\ :\ }) }}= {\ }}- wi rt }\| , re en ĠT ran )}( |\ )| },\] }]\ }_{ \! (\ )}}{\ |\ np ut Con j }\,(\ , In dex &* &* ĠCo st Ġcomp lete cond ition ,\,\,\,\ ,\,\,\,\ Ġso ft 4 000 c E Ġ )\,.\] }(\ # eg ory }] ]= }^{* }}| )) ,\, Ġf r }& && Ġc at ĠS ol }),\ ,( }^{+ }&\ Ġj i Ġco l 78 7 07 7 Eu cl Ġstrict ly C q N at P art R p a city j v Ġ0 00 {) }}_{\ }^{- }|^{ }^{*}\ }\ )}) ]\] 05 1 Ġse e Ġbe long _{! }(\ \({ }^{*}\) $ }}^{ K Q N or O E s M y h Ġ ver )\ }-\ },\ !\ {( {\ }| )}{ ro ups {) }}{| }^{- {\ Ġt N Ġt u Ġd l ĠT rue \,\ }\ ĠW e )}(\ { }\}\ { 45 8 26 2 {)}+ \] 06 9 08 5 Con st Ġad missible Ġcor resp {\{}{\ }}{ ĠMaxi mum 0 96 D is D im I t ] ]^{\ x L z er al low co der }}_{ =\ ci p ĠA p ĠT X \}\ !\!\ }]\ |^{ )=( (\ )! !}{( )})\ }_{ mix ed ew ton Ber n T OL f act w ind Ġ ll Ġ }}{{\ }) },&\ Ġ\ }^{ })= +\ })=\ {(\ _{* }), ^{+ , ĠG F }))\ }_{ )}= {\ ): |\ ik l 99 0 \; .\ Ġ:= - 06 6 ]\! ]_{\ dxdy dz IP W cont inuous ĠInt er K X n er t Q z P Ġ )&\ Ġ })}.\] se u )}\ },\] )=\ ,\ ^{* }))^{ }] )=[ ĠC O ĠC X )) )\\ }}) )- {| }}{\ pro b Ġc N di sp }^{+ })+ \[\|\ , )(\ |\ {{ }_{\ ref l 30 7 05 4 ,* }, :, :, })\! =\! ;\,\ ,\, \}-\ { ^{(+ )}_{ . }\,\ 9 55 H I M ed ] >\ j e m w p ub Ġ cases ti ent )) )}{ )) |= ĠB P := |\ Ġin di 34 0 }$ )}\] 37 4 76 7 |\! |_{ term s Ġalgo ri ) })}.\] 3 14 C b ] ]^{ ] <+\ f pp q B | ,\\ ma nn {\ }}}\ lo city }| |= ĠC q Ġ= (-\ <\ ! 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D s M g V X W X \ }=( x Q Ġ }^{*}( }\ }^{- }) }/\ }{ }_{*} Ġ1 25 }}) }\\ ĠA A Ġc luster ĠH y tt er Im m xx t }(| |\ )}) ).\] leftrightarrow s 56 9 ne gative Da ta ĠParameter s ! =\! . }}{{=}}\ 6 88 C g a P f dx Ġ phase }_{ : ph g )\ }^{\ da p }- (( }^{- })( }^{* })_{\ Ġ} }) ci l }\| ,\|\ }\|_{ (\ }\|_{ *}\ }& + ĠB u })}\ { ^{+ }|\ }+( | }< _{\ )! }+\ as c 64 7 }}:=\ {( ,+ }+\ }}^{+ },\ })\|\ | ,\; ( }! }.\] Fil t ob lv lay er peri odic * ,\ D Q H dg K g N z q X u P ^{* }}}{{\ Ġ_{ | ĠR E }}- [ sta ll ,- }, 20 21 }}^{- , dz dt up downarrow 26 3 ))\, ,\ Ġch a Do F ; =\; = _{\ X T \ }}\|\ ] )}.\] c F c S f ast j c k S l arge n leq }^{- })^{\ }}) }}\ }}) )+\ Ġn ormal id ual })- [ ĠI T _{+ })-\ )}, (\ {}_{ [ )! !}{ 35 1 sk w 05 2 29 3 60 7 iH t ) $, * }}\ > }\ A pp D c K J N X N umber ] })( h K Ġ arg }^{ = Ġ\ ;\; {\ }}( ft p }_{\ | ^{* }&\ )) }| }}_{ +}( )} &- })= (-\ ĠT or _{- }\|_{ _{- })+ ^{+ }).\] )] \|_{ ... = {{ + en sion 60 9 95 8 )|\, .\] Ġda y ĠTh m 4 31 ; |\ B h L X S o W x s top x k | }[ Ġ prox Ġ ))}\ }\ }}+\ }) )}+\|\ ^{\ #\ var iance la ce ^{* }/\ }] \|\ }: -\ }^{* })}\] }^{* }]\] ĠA i Ġc ho _{* }[\ _{* })}{ }_{+ }).\] Re f )}= \] }}^{- }}\ },\, (\ })] |\ 75 2 50 8 Ġma tch Ġad ja ĠLi pschitz tho gonal , || A rt T otal g iven Ġ )}, }} },&\ ^{* + Ġ1 44 }^{* }})\] }\, = Ġe vent ĠD T }\}\ }\ }([ ( ik s }):=\ {( kl t te l 05 3 08 7 76 9 SD E Ġinteg ral })\|+\ |\ Ġconver ges ! +\!\ . }{\ E n Q v \ }=-\ Ġ })\, Ġ tan Ġ ^{-( }) }),\ }_{ ! {\ }}<\ =\ !( su sp ^{* },\\ }] ].\] \, :\ di r ĠE stima {\| (\ ĠK O ch ain )/ | ):= [\ }_{* }^{- Ġdx d tu rn 77 4 ,: }\ {* }{ 0 110 G m P Y W B f ace i G Ġ )}{( }} }+( }}\ ;\;\ ri ch matri ces )) ]=\ }}) ,&\ un r {| }\| }[ ||\ Ġb all Ġ10 24 })) |_{ Ġ| }{ }\! :=\ Ġ\, =\,\ }}^{+ }, );\ ,\ )_{+ }}\ Ġsp ec ! ,\ , (( Ġ )}^{\ }\ }}}\ {\ }},\\ ad m }| ),\ ^{* }}^{- ^{* }}}{\ }] }+ Ġi b ĠN ot }}}\ .\] )_{ |_{ })| )\ }}[ [ })\| ,\] 76 6 Ġevery where RS B |/ | Ġperi odic riz on . ** ; ,\ Z T d ddot }\ {{\ }} }>\ }_{\ !\ Ġ_{ *}\ ĠS W 00 25 }}\, ,\,\ )}, - Ġ\[+ [ 75 7 29 2 }=[ (\ 38 0 08 0 }=|\ { Ġsta rt roll ary Ġsti ff P RM S ig b N b R h ard m F s R Ġ ell Ġ }}\\ Ġ ^{+}\ }) ^{*}}\ }_{ |_{ }} }}{{ }{ }^ )\ ;\; ^{- }-\ {) }:= co fib }^{* }}, }^{* }})\ Ġf lat }}) ^{*}( Ġv is Ġv ir {[ }[\ }}+\ |(\ }))\ |_{\ }\}\ !\ }}^{* }\|_{ )! !\ pre Module ik j 64 6 40 7 \[(- )^{\ Gra ss E nv J y Q L S im \ }>\ b atch Ġ ))= Ġ )+( su s ^{* }}\,\ \{\ {\ Ġs k ĠT e 12 96 Ġp s ĠN one }}=\ {(\ })^{\ # }_{+ }:\ }_{- }} )\| }{ }$ }}\ 95 2 SD P })\! +\!\ Ġav erage whi le ! \| ) $,}\\ / (( 3 10 C w E i J g \ (( k ji }) ^{*}, }) };\] }) ]=[ {\ ! }| }|\ [\ ;\ }] }- }] &=\ )) ; }\,\ { ĠL ear 11 10 ^{*}( {\ _{[ ( up pi 30 2 96 7 Ġcontain ing Ġsign al ))^{* }\] rdr dx The orem seu do - )= . }\; P OD \ }|=\ ] |\] p op u ble z T la tions })\ ,\, Ġ1 26 }] }-\ \{ -( sim ple )-\ | Ġs cale _{* }),\] })}\ ,\] \[| [\ }}| <\ }_{+ }= _{[ [ ba s }}^{* }+\ 40 6 AB A Ġ{- }( ran ch Ġcont rol hy po Ber noulli + },\ . }.\] C i C ho E Z W f ] )\\ a o b all q S u A { *}\ | }}.\] }\ }},\ }) })+ }} }=(\ Ġ1 80 ĠS i ĠS pe Ġ\( < }]\ }.\] 23 45 20 23 })] [ )}| }{ ,* }^{\ },& | 08 9 09 7 0000 00 Ġcontain ed & : , _{ M ST Z B g P n ext z L | ]\ }) }=(\ )\ }}\] na ive ^{- },\] }] ))\] )} * ĠA t )\, -\, ĠR MSE ĠD P };\ ,\,- }:= &\ }}:=\ |\ 40 4 }{}{ - {\}} ;\] ) }}[\ G I H yp L CB N is T o W R ] :=\{ c Q v ing y r Ġ })}( Ġ )> }} }^{*} ot ential ^{* })=( }: \,\, Ġt d ĠB e }}= +\ _{+ }:=\ ^{+ })-\ ere nt 36 3 }}}{{=}}\ { Ġse lf Ġdiv is }\,:\, | BD P mon ic Ġar bitra F J K V R Y ] ):=\ q P Ġ circ }) }:= )\ }( op f )}\ ,\,\ \| ).\] }^{- | }^{* })\\ ),\ {\ Ġn T Ġu sed ĠT C }^{+ })( Ġr n ĠR x })+\ \ }}| < }}\, :\,\ ^{*} })^{ Ġ}( [ \[= |\ }_{- })\] },\, {\ en ti }\! : }\! 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