From a65de1154e09139845fb77834a1d6bc40c993ee7 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E4=B8=89=E6=B4=8B=E4=B8=89=E6=B4=8B?= <1258009915@qq.com> Date: Wed, 6 Mar 2024 04:57:43 +0000 Subject: [PATCH] =?UTF-8?q?=E5=AE=8C=E6=88=90=E4=BA=867M=E6=95=B0=E6=8D=AE?= =?UTF-8?q?=E9=9B=86tokenizer=E7=9A=84=E8=AE=AD=E7=BB=83?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- src/models/globals.py | 2 +- .../roberta-tokenizer-7Mformulas/merges.txt | 14740 ++++++++ .../special_tokens_map.json | 15 + .../tokenizer.json | 29830 ++++++++++++++++ .../tokenizer_config.json | 57 + .../roberta-tokenizer-7Mformulas/vocab.json | 1 + src/models/tokenizer/train/train.py | 4 +- 7 files changed, 44646 insertions(+), 3 deletions(-) create mode 100644 src/models/tokenizer/roberta-tokenizer-7Mformulas/merges.txt create mode 100644 src/models/tokenizer/roberta-tokenizer-7Mformulas/special_tokens_map.json create mode 100644 src/models/tokenizer/roberta-tokenizer-7Mformulas/tokenizer.json create mode 100644 src/models/tokenizer/roberta-tokenizer-7Mformulas/tokenizer_config.json create mode 100644 src/models/tokenizer/roberta-tokenizer-7Mformulas/vocab.json diff --git a/src/models/globals.py b/src/models/globals.py index 3f1ed56..c84f204 100644 --- a/src/models/globals.py +++ b/src/models/globals.py @@ -16,7 +16,7 @@ MAX_WIDTH = 1280 TEXIFY_INPUT_DENSITY = 100 # ocr模型的tokenizer中的词典数量 -VOCAB_SIZE = 10000 +VOCAB_SIZE = 15000 # ocr模型是否固定输入图片的大小 OCR_FIX_SIZE = True diff --git a/src/models/tokenizer/roberta-tokenizer-7Mformulas/merges.txt b/src/models/tokenizer/roberta-tokenizer-7Mformulas/merges.txt new file mode 100644 index 0000000..42931b8 --- /dev/null +++ b/src/models/tokenizer/roberta-tokenizer-7Mformulas/merges.txt @@ -0,0 +1,14740 @@ +#version: 0.2 +_ { +^ { +} \ +m a +t h +ma th +} ^{ +} ( +\ [ +r a +i g +} ) +, \ +i n +l e +} _{ +t a +Ġ \ +{ \ +a l +m e +f ra +} } +\ ] +fra c +\[ \ +math b +a r +_{ \ +f t +t i +( \ +ig h +d e +r igh += \ +} { +e ta +p h +a m +le ft +righ t +) \ +} }\ +^{ \ +- \ +}( \ +c al +math cal ++ \ +s i +r i +} ,\ +. \] +l o +mathb b +s u +| \ +o t +d ot +}^{ \ +r m +p ri +pri me +p si +mathb f +}\ ] +le q +} , +ph a +al pha +t o +d a +am b +amb da +math rm +v ar +n a +lo n +l a +}) \ +b ig +su m +l ta +l ambda +}_{ \ +psi lon +am ma +e psilon +e x +} + +g a +me ga +n g +b o +ph i +in t +ti l +til de +ig ma +q u +} - +c dot +ng le +ex t +t ext +m u +a d +o p +p ar +qu ad +bo l +ti al +par tial +b m +b eta +ti me +time s +^{ - +e r +th eta +l l +e q +a t +g amma +s igma +} = +h at +| _{ +{ ( +} +\ +h o +} =\ +ft y +in fty +ta u +to r +l in +e ra +Ġ & +lin e +era tor +op erator +na me +operator name +de lta +var epsilon +r ho +w i +,\ ] +} {\ +b ar +n d +p i +wi de +) \] +) ^{ +x i +} .\] +}} { +s e +} -\ +b la +) }\ +na bla +B ig +e ll +} | +a p +d s +} }( +v er +e g +O mega +o mega +r o +math s +s q +Ġ 0 +) =\ +e nd +b eg +beg in +o ver +dot s +g eq +r t +sq rt +h i +) = +}) \] +} }^{ +| ^{ +[ \ +ra ngle +var phi +n u +over line +y m +Ġ \[ +la ngle +l i +D e +math fra +mathfra k +ym bol +bol ds +bolds ymbol +De lta +^{ * +Ġ 1 +Ġ \[\ +l dots +se t +{ ) +},\ ] +& \ +o times +ta r +c o +wide tilde +} ] +}^{ ( +Ġ { +\ | +t ri +maths f +G amma +lo g +} : +ra y +p a +}^{ - +\ |_{ +Ġ x +Ġ C +}^{ * +ma tri +matri x +Ġ 2 +ro w +) ) +}}\ ] +wide hat +m in +q quad +\ \ +}\ , +{( }\ +}} {\ +k ap +kap pa +} }(\ +Ġ i +}) ^{ +) .\] +; \ +P hi +cdot s +r c +\ { +Ġ f +li m +Ġ } +u s +o r +) - +tar row +\ , +Ġ t +z eta +} }_{ +c i +c ap +} }) +^{ ( +Ġ a +ci rc +Ġ }\ +u n +L ambda +{ | +) ,\ +}\ | +) + +c hi +) , +big g +si m +Ġ =\ +Ġ n +) } +righ tarrow +v e +de r +Ġ u +un der +}) = +\ |\ +Ġ = +{( } +n t +s la +c u +}\ |_{ +} |\ +ar ray +}) =\ +] \ +su p +S igma +p ro +} [ +Ġ d +) ( +) }{ +ma x +su b +cu p +r e +c a +Ġ _{ +}\ \ +: =\ +}\ ,\ +sub set +Ġ\ \ +sla nt +) +\ +\[ ( +c r +) -\ +e d +\ {\ +ca se +case s +} / +maths cr +s p +under line +) ,\] +Ġ L +{ )}\ +d x +) ^{\ +p matrix +Ġ k +g e +c k +Ġ ( +pro d +i j +li t +i d +} & +to p +Ġ A +Ġ B +< \ +Ġ c +}} ,\ +sp lit +^{ -\ +d i +p m +} }^{\ +P si +s s +Ġ s +i t +Ġ S +! \ +Ġ T +Ġ\ ( +_{ * +Ġ e +Ġ H +. \ +Ġ\[ = +b f +1 2 +) )\ +Ġ v +bo x +}} .\] +Ġ p +) }( +leq slant +ed ge +f o +}) }\ +w edge +\ ,\ +co lon +ra ll +fo rall +}) .\] +ex p +{ [ +n eq +Ġ\[ =\ +l us +_{ - +}) - +. . +}} +\ +s tar +) | +ve c +le ss +Ġ N +}} =\ +less sim +op lus +o m +min us +}} }\ +}| ^{ +su bar +subar ray +Ġ X +Ġ I +}) ,\ +set minus +m id +0 0 +_{ ( +}\ |\ +{ ] +Ġ M +u l +( - +b matrix +}^{ + +)\ , +Ġ y +}: =\ +d t +}) _{ +Ġ {\ +s in +b ul +} [\ +) _{ +/ \ +Ġ r +P i +\ }\] +Ġ m +Ġ V +}} = +s t +T h +Ġ j +} &\ +Ġ E +Ġ R +: \ +}) + +h line +Ġ D +\[ (\ +Th eta +Ġ F +\[\ | +}} , +1 1 +co s +lim it +] \] +}} + +}) ( +limit s +} })\ +Ġ - +}) -\ +1 0 +}) ^{\ +}) , +m box +) }{\ +Ġ P +_{ + +Ġ h +i f +}) +\ +\ ) +Ġ b +\| _{\ +) ^{- +{\ | +Ġ g +^{ + +} ; +Ġ K +\[ | +Ġ w +c c +Ġ ^{ +\ }\ +t frac +o n +Ġ G +f lo +flo or +Ġ z +) :=\ +} }_{\ +p t +}} ,\] +p s +: = +}) ,\] +Ġ 3 +) }\] +lon g +s h +}} - +}} | +ma ps +le t +maps to +subset eq +}} -\ +{| }\ +Ġa nd +Ġ q +}} }{ +bul let +}\ ) +\[\ |\ +l n +co ng +c e +s ta +re l +p er +) |\ +i v +g g +{\ { +}: \ +Ġ U +Ġ $ +| _{\ +}= ( +}] \ +{) }\] +b in +^{* }\ +} ;\ +bin om +o d +sta ck +stack rel +) )\] +long rightarrow +}) }{ +per p +,\ \ +} > +Ġ\ (\ +gg er +da gger +Ġ W +f or +}\ }\] +{ - +{[ }\ +\[ |\ +Ġf or +a nd +,\ , +}) )\ +e qu +t r +i o +\ |^{ +( -\ +} ^ +equ iv +ve e +io ta +Ġ& \ +{) } +in f +Ġ (\ +}\ |^{ +}( - +\ }.\] +Ġ 4 +)\ |_{ +eq q +1 6 +colon eqq +var theta +b ra +) ] +c h +}_{ + +}) ^{- +}) } +t t +, - +1 3 +i l +.. . +}\| _{\ +) |^{ +d y +}}\ , +}^{* }\ +( ( +Ġ Q +R e +)\ ,\ +} })\] +di m +Ġ J +}+ ( +} < +Ġ Y +Big g +) / +) (\ +Ġ -\ +}{ ( +) }(\ +}} } +) }_{ +^{* } +}: = +de t +2 2 +}) | +var rho +x rightarrow +}) )\] +{) }^{ ++ | +}{ | +me q +si meq +)\ \ +^{* }( +* * +Ġ al +) }^{ +}/ \ +) },\ +] }\ +tri a +- ( +}^{ (\ +}} {( +{ {\ ++ ( +math ds +},\ \ +a b +\[\ { +Ġ l +big cup +Ġ in +Ġal l +Ġ }( +}} |\ +}_{ ( +})\ , +geq slant +}}^{ ( +l floor +Ġ o +Ġ Z += ( +) }=\ +r floor +2 1 +T r +}}\ | +Ġ\[ +\ +} _ +] _{ +b le +n ot +)= ( +} <\ +v dots +}) }{\ +] ^{ +o l +) }.\] +> \ +Ġ + +, ( +2 3 +e t +}=\ { +}) }\] +] .\] +2 4 +Ġ _{\ +1 4 +& - +di v +,\ ,\ +}( ( +math tt +_{ [ +}] \] +ar p +e m +} .\ +1 5 +\[ [ +bul ar +ta bular +Ġ ^{\ +} |_{ +big r +b a +big l +}) (\ +2 0 +H om +ta ble +Ġ }^{ +{[ } +) }= +Ġi f +}\ }\ +( | +{ (\ +}}\ ,\ +) _{\ +}}^{ - +in g +}\, .\] +}) _{\ +Ġ +\ +{) }.\] +}^{* } +}= -\ +) }, +}( [ +X i +Ġi s +_{ -\ +) := +\[ =\ +) )^{ +\ !\ +) }+\ +| ^{\ +Ġ 5 +pro x +^{ (\ +\[ = +{ { +}_{ - +| \] +), ( +) & +}^{ -\ +\ },\] +tria ngle +}^{* }( +... , +d z +k er +de g +}) }^{ +}= (\ +sla sh +}- ( +}} [ +h bar +}}\ |\ +| }\ +m p +ba ck +Ġ }_{ +] = +}}^{ * +back slash +{\{ }\ +Ġ1 0 +}) ) +] =\ +{ }_{ +\[ {\ +pt y +_{ | +{| } +big oplus +e c +u t +em pty +Ġ |\ +I m +bra ce +{ |\ +\[ -\ +) }}\ +empty set +}} }{\ +Ġ 6 +}_{ * +ap prox +| | +) ! +) )= +bra ck +3 2 +brack et +}) |\ +Ġ O +x y +Ġ )\ +}}{ {\ +/ ( +}\ !\ +Ġo f +under brace +re f +i st +{ }^{\ +}} }( +sh arp +Ġ th +}}\ \ +{] }\ +ti on +}= - +},\ , +}\ { +Ġ }{ +2 5 +] , +})\ |_{ +ho o +var pi +) : +0 1 +ch e +a st +p re +over set +\ ! +{\| }\ +Ġ | +} * +) )=\ += -\ +s ma +}} }\] +S p +) }- +che ck +) }+ +d u +] ,\] +e n +ar row +{\{ } +a s +})\ \ +sma ll +j k +{ = +] ,\ +a g +\[\ {\ +1 8 +}( {\ +ar g +}\, ,\] +}^{ [ +\, .\] +U psilon +}\ }_{ +ex ist +|\ , +i k +}) :=\ +er t +( [ +Ġ\[ + +}) }( +_{* }\ +d r +s c +) })\ +under set +r r +exist s +) }-\ +9 9 +) > ++ |\ +_{ (\ +^{* }_{ +| = +}\ ! +pre c +})\ ,\ +V ert +lim sup +wi th +) &\ +o th +ig n +) },\] +o w +)) .\] +}+\ | +e s +\ ; +, &\ +})= ( +m od +Ġ :=\ +i p +} })^{ +1 7 +)\ | +)= -\ +x x +{\| }_{ +\ },\ +\ }}\ +Ġ }}\ +] } +}\ ; +- | += - +d frac +m n +rc e +Ġ }(\ +[ - +{) },\] +rce il +{) }^{\ +3 4 +ce il +2 7 +}) ] +l ceil +ver t +} $ +( (\ +Ġ 8 +co n +ow n +}+\ |\ +Ġ\ ,\ +}] _{ +! }\ +Ġ\ | +) < +1 9 +\[ [\ +{] }\] +ar e +Ġ [ +3 3 +i i +}\ ;\ +d own +^{* }(\ +o dot +R igh +Big r +ta n +}( | +Righ tarrow +small matrix +Big l +}) }.\] +{( }( +I d +er e +)+ ( +},\ ,\ +}] = +}} & +)\ ) +}}\ |_{ +di ag +text bf +Ġ& =\ +[ ( +6 4 +Ġ ** +i s +}+ | +wi se +di st +Ġ\ , +big cap +; \] +}| _{\ +a n +sup p +ra l +}}{ | +t in +le f +)^{ -\ +tin y +}+ (\ +}, ..., +bol d +not in +bold math +mu l +er wise +^{- ( +4 5 +Ġ 7 +}\ }.\] +Ġ on +li min +sq cup +limin f +) }) +{| }_{ +)^{ * +_{\ { +Ġd x +| } +k l +) }_{\ +I I +lef tarrow +s f +}}) =\ +2 8 +P r +* { +}{ |\ +}\ {\ +d dots +),\ \ +}, ( +}| }\ +) }}{ +| ( +d v +Ġ\ |\ +u p +\, ,\] +3 0 +3 6 +L o +di am +left rightarrow +\ {( +p r +i int +G L +}} [\ +_{* }( +}^{+ }\ +}} &\ +s qu +C o +down arrow +t e +}) / +)\ |_{\ +( |\ +c d +5 6 +\[ - +)\ }\] +Ġ 9 +f f +Ġ\[ -\ +}^{* }(\ +}} :=\ +r l +!\ !\ +}_{ [ +) }| +hoo k +Ġ$ \ +tria ng +00 0 +)}\ , +}}) = +|\ ,\ +hook rightarrow +( {\ +triang leq +^{ [ +}> \ +] ( +4 8 +h ere +}^{+ }( +}} }(\ +}( -\ +}| = +| }{ +4 0 +{) }=\ +) <\ +i m +x t +)\ |\ +] + +{ }^{ +3 5 +(\ | +lo r +)\, .\] +n k +_{ |\ +a c +mul ti +var sigma +cc cc +bigg r +ll bracket +)= - +Ġ de +if f +| + +) }} +{) }= +}) |^{ +ign ed +$ \ +lo c +. }\ +, | +i c +int er +squ are +pa n +V ar +}| | +al igned +}] =\ +\ } +bigg l +}=\ {\ +}^{ +\ +A B +h box +] _{\ +Ġ= -\ +)= (\ +s k +)}{ ( +sin h +) ]\ +rr bracket +L e +}| \] +0 2 +^{* }, +cos h +) :\ +}, &\ +0 5 +_{* } +, & +Ġth e +{\ }}\] +v ol +] +\ +* \ +{\ }}.\] +Ġ }^{\ +) })\] += (\ +}}}{ {\ +\ ;\ +}}) .\] +da sh +{\| } +) )}\ +3 1 +| ^{- +, [ +3 7 +oth erwise +] ^{\ +}) : +par row +}, - +box times +)) - +, * +u parrow +}) & +| - +)) ,\] +}} }^{ +{)}\ , +eq ref +# \ +) .\ +Ġ with +n i +1 00 +la t +| +\ +] }( +{( - +{) }+\ ++ }\ +Sp ec +})\ |^{ +}) )^{ +) }^{\ +2 6 +}) )= +) [ +inter cal +&\ \ +\ }} +_{ {}_{ +\ % +{] } +) /\ +Ġa n +}( (\ +{\ }}\ +7 5 +)=\ { +}) }(\ +}\, ,\ +{| }^{ +0 4 +{= }}\ +}_{\ { +Ġ co +)- ( +}}( - +s g +}) ).\] +Ġ= ( +}| ^{\ +Ġ{ - +}] ^{ +}) )=\ +le l +cu rl +}+ |\ +ral lel +=\ { +9 6 +pa rallel +& & +Lo ng +^{* })\ +, -\ +D u +sup set +) ; +}} }.\] +Ġ or +\[ +\ +su cc +}), ( +Ġ to +}) }=\ +Ġ }{\ +c t +i x +f lat +math op +c l +r ing +(\ |\ +pm od +ra d +| |\ +}- (\ +Ġ := +}} : +p q +)) ,\ +, + +- (\ +\ }^{ ++\ | +0 3 +l Vert +)\ |^{ +Ġ },\ +Le ft +l y +] )\ +_{+ }( +Left rightarrow +r Vert +Ġ\ { +}:=\ { +)\, ,\] +^{* }}\ +Ġ ) +^{+ }( +5 0 +Ġ\ |_{ +}, {\ +_{ {\ +2 9 +}) > +i mp +u psilon ++ (\ +}{ }^{ +, (\ +d dot +math ring +o nd +}_{ (\ +, ..., +B o +: \, +E xt +li es +) |_{ +| .\] +^{ {}^{\ +arp o +hoo se +u v +)) -\ +c hoose +}& = +b re +l u +}}) ^{\ +n o +A d +}= [ +}) },\] +}}) _{ +}| |_{ +. }\] +s pan +| =\ +n e +)) + +4 4 +}} :\ +3 8 +o ut +ve n +Ġ ^{- +{( }-\ +9 8 +sk ip +}] .\] +}) &\ +}) < +S ym +m o +Ġ })\ +{) }+ +od d +}} ] +{) }_{ +imp lies +{\ |\ +ra nk +ker n +o me +_{* }^{ +\, ,\ +})= (\ +| |_{ +M od +}] }\ +\ }_{ +Bo x +A ut +sg n +}, & +^{* }_{\ +] { +l vert +}| |\ +)) +\ +})+ ( +j i +G r +}) := +}(\ { +6 0 +[ -\ +}_{+ }^{ +bre ve +] -\ +, {\ +}{ (\ +t u +}( |\ +r vert +Ġ }_{\ +- |\ +* }\ +or d +& -\ +Ġ }, +}^{* },\ +}; \] +)) ^{\ +{( }(\ +)\ ; +}] ( +}\ },\ +}^{- }( +}& =\ +})\ }\] +i r +}) ]\ +] \\ +}}^{ + +big wedge +h skip +}^{- }\ +}}\, .\] +o int +b c +) ^ +_{+ }\ +) }}{\ +{ -\ +}* \ +w here +}) :\ +h e +Ġ }} +=\ ,\ +{ $ +{) }( +var kappa +b b +g r +K L +Ġ\[= -\ +Ġ }+\ +S L +0 6 +(\ { +})\ | +Ġ }- +} . +over rightarrow +{] }.\] +re s +z e +Re s +}} <\ +de f +}^{* }, +_{* }(\ +)^{ ( +7 8 +}/ ( +Ġa s +7 9 +)| \] +}) }= +0 8 +7 6 +}{ }_{ +)}\ \ +ec t +Ġ {( +Ġ\( ( +)) ( +}} / +)) _{ ++\ |\ +dx dt +}\ },\] +{| }_{\ +}\, ( +prec eq +lu mn +^{* }- +Ġs ome +e v +E nd +)} |\ +}}) ( +v dash +;\ ;\ +}} |^{ +Ġ\[ - +Ġ }+ +d V +}) }+\ +5 5 +{) }-\ +^{+ }_{ +| < +Ġth at +{ }_{\ +! } +}}{ (\ +n eg +math it +t s +! [ +Ġ& +\ +in d +r u +})\ |\ +diam ond +co lumn +}} },\ +\ }=\ +^{+ }\ +] - +r times +multi column +] ; +}) /\ +T V +4 9 +) ;\ +}^{* })\ +long mapsto +I nd +^{- }( +l g +}) <\ +}) },\ +{) },\ +Ġ& = +e l +}| + +... ,\ +k j +_{- }( +}& - +}| +| +) ]\] +\| \] +}] , +}}) }\ +}, (\ +text tt +3 9 +Ġ / +}} < +p th +| (\ +ar c +e ss +))\ , +)}\ ,\ +.. .\ +}) ^{* +Ġ= - +| )\ +Ġ :\ +Ġ }| +d W +})= -\ +Ġan y +oth ing +g cd +{\ }},\] +\, ( +] }\] +}}) ,\] +4 6 +}^{+ } +var n +varn othing +Ġ con +8 8 +})\, .\] +}] + +}=\ {( +Ġ )^{ +_{+ }^{ +^{+ }}\ +{) }^{- +) })^{ +, |\ +r k +]\ ! +n p +}] ,\ +Ġ * +}}+\ | +}\ .\] +{| }\] +dx dy +}),\ \ +Ġd t +Ġ\[= ( +}}) ,\ +{= }} +}[ ( +!\ ! +a x +ge n +}} > +tan h +^{* }) +] }{ +}} }=\ +\| ( +,\ ; +ij k +}} }^{\ +}}\ }\] +}}\ ) +0 7 +)) }{ +{)}\ \ +pro j +^{* },\ +Ġ su +{)}\ ,\ +| +| +V ol +}^{* }\] +)| = +ym p +S O +}} ^ +}}^{ (\ +[ (\ +A x +d w +bb k +B bbk +\ }, +)}\ |_{ +\[\ {( +: \,\ +ho m +triangle right +| }{\ +L ip +L i +Ġ }-\ +}] _{\ +)}{ | +8 0 +}}= ( +}}{ |\ +4 2 +\[ + +r eg +}} ]\ +ver y +| )^{ +r s +}, -\ +}) ),\] +) >\ +Ġ re +)}\ | +)^{ | +), & +| > +R ic +] )\] +text sc +})\ ) +Ġ{ * +})=\ { +Ġ\[ ( +cc c +mathb in +}:= ( +7 2 +_{- }\ +g tr +i math +_{ [\ +}}^{* }\ +d m +Ġe very +})\ |_{\ +9 5 +Ġ odd +4 3 +}} },\] +}) [ +})- ( +}_{+ }\ +p e +}^{* }}\ +}| }{ +de l +as ymp +th arpo +, +\ +}} }+\ +\},\ { +-\ ! +}^{ {}^{\ +}) ]\] +gtr sim +h d +})}{ ( +}| - +{- }\ +}) }+ +=\ , +4 1 +\ }= +s ign +)\ }\ +big vee +}] ^{\ +{) }- +}}) - +}}) ^{- +Ġe ven +K er +h en +d f +}^{* }=\ +) }}\] +n m +}}}{ {=}}\ +}}) +\ +}{\ | +}- | +w p +^{* }} +}}) -\ +d R +e igh +}{ }^{\ +)& = +q ed +bm od +r n +_{+ } +i se +v box +)] ^{ +D i +}, [ +}}) + +}\ }}\ +)\ ! +no limits +4 7 +y y +}}+\ |\ +t w +}\| \] +), &\ +Ġ )}\ +s ym +o nu +Long rightarrow +6 6 +}} ;\ +tharpo onu +tharpoonu p +}] ,\] +n n +)\ }.\] +)) , +; \\ +0 9 +{( }| +\{ | +Co v +\, |\, +}) .\ +H S +}\ ,\] +s o +X Y +}}\, ,\] +w t +| <\ +{\| }_{\ +ti ve +}] +\ +Ġ ds +5 8 +big otimes +)! }\ +] }(\ +}) )}\ +^{* }}( +S h +)_{ + +{ , +}| .\] +d p +re d +}(\ | +d om +},\ ; +{( }- +)& =\ +^{ | +}| =\ +}}{\ | +Ġ1 2 +})= - +v al +}} := +})^{ -\ +}} }_{ +g rad +c line +}) }^{\ +c tion +Ġ= (\ +12 3 +Long leftrightarrow +Ġde f +righ tharpoonup +}^{* }_{ +}= [\ +\{ - +}^{+ }(\ +m k +}{ * +s m +] (\ +C S +} ! +;\ ; +\ .\] +\ })\ +7 7 +Ġ\( - +}& -\ +}| +\ +d g +Ġ â +})\, ,\] +P ro +Ġ }}{ +)) }{\ +d S +)} [ +multi row +m b +Ġw here +a v +t y +}} .\ +}| ( +}\ } ++\ ! +S E +t x +& ( +ru le +: ( +i a +Ġ1 6 +( [\ +t ra +}\, |\, +^{+ } +\[| | +k i +g h +) }}( +O p +eigh t +}}\ |_{\ +e nt +{] },\] +}) |_{ +5 4 +)) ^{- +}}{ { +}) )_{ +Ġsu ch +6 8 +,\ { +e a +}_{ > +e ff +|^{ -\ +}] )\ +)} & +5 7 +B C +00 00 += [ +{(}\ | +Ġ }) +}} }= +{- } +{ {( +\ (\ +})| \] +succ eq +lo w +)/ ( +}^{* }- +}}( ( +arg min +op t +supset eq +}}= -\ +) }:=\ +}) }_{ +_{\ {\ +A lg +Ġ ^{( +}) ^{*}\ +}| } +big sqcup +}] - +}} ; +| -\ +9 7 +p o +}}+ ( +)}\ |\ +}=\ | +}} /\ +)^{ + +})\ }_{ +k n +}( [\ +\[\| ( +}) )- +j j +^{\ # +wi d +re e +^{* }+ +pr op +d d +$ , +i b +d A +^{- }\ +\[( - +)} &\ +})^{ ( +\| (\ +)+ (\ +}: ( +C on +triangle left +}} }}\ +Ġ }\, +{| }\,\ +Pi c +mo del +}= {\ +wid th +c y +}} ]\] +}, ...,\ +}}\ { +C P +6 7 +}_{\ {\ +}), (\ +u b +[\ ![ +& = +)^{* }\ +),\ , +}^{* }-\ +5 9 +{(}\ |\ +Ġ( - +d X +}}\ !\ +na tu +|\ ! +_{- } +ra ise +i z +) {\ +}:=\ {\ +| ,\] +{] }^{ +^{- (\ +& &\ +^{* }=\ +y z +! ( +B M +Co h +)) )\ +[ [ +Ġ [\ +}}= (\ +Ġ1 1 +}= (- +}| +|\ +natu ral +Ġde pth +}) }}\ +Ġ |^{ +\{ -\ +)) )\] +5 2 +}} }+ +S t +))\ ,\ +C h +}\, (\ +e rm +{\| }^{ +)) } +b y +}) )+ +Ġd y +}} |_{ +Ġ1 4 +\| _ +}) ),\ +- $ +S S +T M +}^{ | +\ ( +):=\ { +model s +_{- }^{ +con v +}}_{ ( +; .\] +}^{( - +}},\ \ +}}}{ ( +ĠR e +{[ }( +{(} |\ +)\, ,\ +Ġ }}( +ge ts +)=\ {\ +v rule +Ġ2 0 +^{- }_{ +}^{* }= +) [\ +|\ !\ +M ap +}] } +{| }\, +^{ |\ +}) ^ +}{ }{ +], [ +}(\ |\ +u e +| ,\ +A C +\ # +l k +a u +}:= (\ +Ġo th +}) }\| += | +}_{ {\ +12 8 +)| _{\ +rc l +6 3 +}) )+\ +})+ (\ +Ġ\ {\ +6 5 +}) )^{\ +}) )-\ +/ (\ +) * +Ġ width +9 0 +}}) _{\ +_{* }, +{\ }} +Ġh eight +)\ ;\ +}] )\] +small setminus +,\ ;\ +Ġ at +}) }-\ +d n +), (\ +Ġ se +}}{ {=}}\ +{$ -$ +}) }- +}] -\ +}}{\ |\ +}\| ( +d B +prop to +5 1 +^{* }\] +}) )( +Ġ2 8 +n s +k k +}}) , +}[\ |\ +i y +b s +] ,\\ +| ) +}, | +^{+ }_{\ +u r +}- {\ +) $ +}= | +ĠC h +-\ !\ +\{ (\ +}^{- } +6 9 +] \, +Ġd i ++ } +x z +{] }=\ +\ })\] +)- (\ +t er +,\ | +I n +{\{ }( +},\ { +\ ,\] +\ }\\ +}\, {\ +] ;\ +^{* })\] +N R +8 4 +Ġt r +}) ;\ +}+ {\ +s l +}}) )\] +) }^{( +}} }-\ +7 0 +=\ {\ +c op +ol y +}^{* })^{ +H H +; ( +Ġ= &\ +Ġ} |\ +}\,\ ,\ +}| < +ca le +\, (\ +}{ }_{\ +u u +_{* }^{\ +C H +er f +}}) )\ +8 1 +& =\ +\[( ( +}| ^{- +}[\ | +}} }, +}{* }{ +G al +}^{* }+ +u ph +on right +arpo onright +uph arpoonright +d k +5 3 +8 9 +)= (- +}| > +Ġoth erwise +{ } +}^{* })\] +j l +$ }\ +)) }\] +in it +}\;\ ; +F ro +}[ | +}}=\ { ++\ !\ +Ġ=\ { +8 6 +) })=\ +k m +| +|\ +}[ (\ +}=\ |\ +u nd +] }{\ +rn er +k h +},\ ;\ +)] = +}\, | +}) >\ +b ot +Ġd iv +E x +^{* * +}_{+ }( +raise box +co rner +] ^{- +Ġ < +}_{ -\ +)] =\ +}[ - +Re p +& * +2 00 +\[| |\ +& &\\ +}}\ |^{ +}} }- +\ }}\] +. \\ +a ch +) })_{ +in v +| }\] +)\ .\] +}_{ | +N N +Bigg r +}}^{* } +$ }.\] +}; \\ +pa ce +w hen +Ġ& -\ +}] (\ +\ _ +c ot +),\ ,\ +)= [ +}}\ ! +P S +d h +f g +) })= +m i +})- (\ +R S +}}) (\ +}) [\ +Ġ\[= (\ +a ngle +}\!\ !\ +b d +)) (\ +)| =\ +^{* })^{ +}]\ ! +ĠC e +Ġ un +Ġ\[= - +_{+ }(\ +7 4 +a cu +ta b +)| }\ +8 5 +}^{+ }}\ +Ġi j +{] }= +\| =\ +=\ !\ +r hd +# \{ +[\ |\ ++ (- +}^{+ },\ +}}^{* }( +acu te +}^{* }) +Bigg l +g l +^{* }-\ +d q +d le +}\, |\,\ +}} })\ +arc tan +bla ck +F un +) ;\] +\ }}( +Ġ ma +\[ {}_{ +Ġ} [ +}- |\ +^{* }= +me nt +he ad +$ }_{ +}+ (- +II I +r d +s cale +}^{ |\ +}}}{ {=}} +ro d +}^{* }+\ +})\ }\ +Ġb y +)] _{ +tw o +* } +] }^{ +\, {\ +ĠT r +Ġ1 3 +) })^{\ +D f +_{* }}\ +}) }+\| +] {\ +- }\ +8 7 +Ġ me +Ġ}\ ,\ +}^{+ }_{ +gen frac +Ġ\[ (\ +Ġ ra +co lim +\[\| (\ +f in +Ġ1 00 +ro r +}| }{\ +y x +Ġ& + +) }}{{\ +cop rod +D iff +)( - +a y +Ġ }}^{ +{] }+\ +):= ( +] : +)| }{ +S A +\| .\] +si ze +Ġ }=\ +}_{* }\ +mid dle +] }| +S T +| >\ +F il +C A +{ $\ ++\ ,\ +S U +}-\ | +two head +twohead rightarrow +\, , +{(} [ +subset neq +}) }, +_{+ }^{\ +}) ; +[\ | +)}+\ | +}) }\\ +ar d +_{+ }, +^{( - +)| ^{\ +}= |\ +mb er +A A +6 1 +)\ }_{ +=\ ! +^{*}\ |^{ +a le +b i +Ġ <\ +A v +si on +scale box +_{\ | +) }}.\] +ma l +7 3 +}\ })\] +$ - +}} _ +}) }| +}^{+ }, +))\ \ +a top +in j +M L +) }).\] +}| )\ +al g +^{* }\|_{ +^{+ }} +}^{\ # +}) ^{*} +Ġ\ |_{\ +co mp +}\ }=\ +9 4 +)|\ , +L S +)) }^{ +Ġ }}{\ +ti c +}\,\ , +_{ < +ra n +I J +Ġe ach +}+ \] +C C +P T +}^{- }(\ +^{+ }(\ +}}\ }\ +}}\ ; +}\ }, +Ġ& & +}\, :\, +up p +s n +[ | +4 99 +Ġ }^{( +Ġ1 5 +:=\ { +_{* })\ +})}\ |\ +}_{+ }}\ +B K +]= [ +I nt +}\| (\ +}}) }{ +_{\ # +l m +}}( [ +Ġ\ |^{ +}}) } +}^{ [\ +}\ }} +Ġ )- +}\ }= +Ġi d +)} <\ +! [\ +b e +y s +}) }}{ +\ }^{\ +)\ },\] +{)}\, .\] +9 2 +=\ {( +Ġ }= +dot eq +C l +\| = +}: | +se arrow +}}= - +Li e +] }=\ +}\;\ ;\ +)^{ |\ +l times +: , +n h +}^{* }} +Ġm od += |\ +\{ |\ +}\; .\] +d P +45 27 +p p +}})\ , +}(\ {\ +\! -\! +i h +}} })\] +}{ $\ +a a +\| +\ +! }{ +{) }_{\ +)| .\] +37 8 +Ġ are +)) |\ +})\ ; +^{* }}{ +j ect +}^{+ }\] +C F +}| <\ +S tab +\ }+\ +}}) }{\ +_{ {}_{\ +Ġ ad +) !\ +Ġn o +sin g +a tion +Ġ )-\ +}}( {\ +Ġ op +6 2 +}\| =\ +| |^{ +}\ })\ +Ġ min +7 1 +C at +}|= | +=\ ;\ +de pth +}}\ {\ ++\ , +A P +| }{| +] },\ +}} }| += }\ +\, |\,\ +c n +}\ # +{) }(\ +Ġ pa +C R +}{\ |\ +Ġ}\ \ +}_{* }( +S D +}| |^{ +c s +)] .\] +^{* }+\ +}}}{ { +) }=( +_{ , +| ^ +9 3 +}) }\,\ +] [ +)^{* } +)= | +}^{* }_{\ +22 6 +} ... +}_{ [\ +Ġ int +c m +]\ ) +Ġ{ + +) })- +})^{ + +}& ( +Ġâ Ģ +< +\ +M N +^{* }}^{ +T or +})\ }.\] +})_{ + +D R +| / +}}) }\] +\[( -\ +u ll +}^{* }\|_{ +}|\ , +\{\ | +_{+ }- +)\ ,\] +_{+ }}\ +{ / +a q +\ }&\ +] }_{ +. , +l r +) }}^{ +{) }}{\ +Ġ : +to m +i e +}\| _ +12 0 +00 1 +) . +) )=( +}) _{( +^{- } +proj lim +)}{ (\ +^{+ }, +var projlim +* {\ +< | +25 6 +8 3 +M C +})=\ {\ +k t +|\ \ +en s +Ġ ),\ +v matrix +}) ]^{ +)}\, .\] +$ }\\ +) }}(\ +Ġ bo +Ġ time +{) }}{ +s r +$ },\\ +)} [\ +C N +S pan +)| |_{ +;\ , +)! } +* _{ +o minus +}}( -\ +}\,\ | +P D +)| | +y pe +}}^{ [ +)\ !\ +* }( +) }: +p n +}}, &\ +init e +}| }{| +Ġd z +}^{\ , +Ġ1 8 +,\, - +triangle down +}\, |\ +ab c +},\ {\ +}^{- ( +n r +}| ,\] +B B +H F +Ġ& && +curl y +S upp +k x +Ġ > +,\ |\ +z z +}) })\] +D G +Ġâ ľ +p le +\[ {}^{ +}}- ( +D F +n x +}| }\] +|\ { +}| ,\ +m m +Ġ )+\ +\!\ ! +Ġ De +}]= [ +}\, , +re a +| |_{\ +I S +M M +11 1 +b j +p lus +]\ ,\ +Ġ }\] +d F +_{- }(\ +l d +}}( | +B S +] ) +T x +A u +op y +}} }_{\ +}:=\ {( +{ : +Ġ loc +curly eq +}\, =\,\ +Ġ le +:= ( +}\},\ { +e ven +)| }{| +)) _{\ +Ġ ;\ +i ze +}) })\ +) })-\ +k r +tion s +R T +)| +| +e p +Ġs t +) }] +c x +it y +Ġn ot +t v +Ġ }^{- +j math +\[\ # +9 1 +}) }_{\ +}) ]_{ +}, [\ +a ve +_{ { +Ġ pro +ca n +}| (\ +]\ }\] +cccc c +Ġ })^{ +)}{ |\ +fo rm +\, | +long leftrightarrow +c b +}} }\| +{] }\\ +}\ }_{\ +}}\ ;\ +}/ (\ +i u +}\!\ ! +}[ |\ +}] }( +4527 56 +] )=\ +}] \\ +}}\, ,\ +C D +}), &\ +Ġ{ -\ +}_{ {}_{ +A D +C B +ac t +I C +{ }\ +| , +] }, +| }.\] +\[| ( +S P +Ġ }}(\ +T C +}) ), +sub ject +t A +. } +)}+\ |\ +Ġ\[ +( +a k +) }),\ +H ess +\| ^{\ +}\| .\] +}} }} +ng e +}^{+ }} +D v +B V +}) }|\ +) _{( +ne w +\ ), +}) {\ +n c +}| ,| +))\ |_{ +BM O +m s +_{ > +S et +}) }\, +^{- | +over leftarrow +)} > +,\,\ ,\ +R eg +Ġ\( [ +, [\ +Di am +k p +M at +^{* }}(\ +})& = +}+ [ +mul t +] }\| +de d +Ġ\ # +}| |_{\ +(\ {\ +b x +C T +}) ))\] +s d +ng th +box plus +lit y +p k +! }( +}}| | +c ri +Ġ )^{\ +Ġ\ !\ +-\ | +Ġ}\ | +v i +}-\ |\ +}: (\ +}) }+\|\ +)} / +8 2 +| -| +}} }\, +] .\ +}] }\] +{) }}\ +_{\ |\ +1 000 +}) )}\] +ĠC o +] )= +{ [\ +}} }\,\ +}) |_{\ +ti t +}[ [ +}^{- }, +. +\ +r b +al l +B r +}}( (\ +0 10 +j n +\[\ #\ +}}{ {=}} +Ġw hen +\; .\] +e st +}_{* }^{ +},\ |\ +}] ,[ +Ġc h +)= \] +Ġ- ( +R F +ce s +S H +Ġ max +Ġ ^{-\ +co v +Ġ )=\ +: | +Di ag +cu r +Ġ )= +Ġ ho +su it +b u +k s +N S +226 378 +t ex +ta l +er r +L M +X X +G D +Ġ )+ +t ot +var Phi +}^{* }.\] +tex tit +ne arrow +] }= +Ġ& &\ +se d +F ix +t z +}\| +\ +inj lim +}),\ , +var injlim +d b +a e +12 5 +\| }\ +C M +ap p +S q +Ġo ut +kl y +I rr +)! ( +ro m +Ġ nu +ea kly +, }\\ +{] }_{ +Ġ )( +\[\{ (\ +Ġd ist +Ġ set +}) /( +| {\ +^{* })=\ +0 75 +il b +- (- +Sp in +i q +th e +)! }{ +S M +) }|^{ ++ [ +\, :\, +pha n +}+ ... +) })( +}} >\ +}\, :\,\ +}: \, +B D +}^{+ }- +phan tom +}&\ \ +Ġ2 4 +{] }^{\ +11 0 +ar t +}},\ ,\ +] :\ +| }( +Ġn on +) }^{- +\ }\,.\] +})| = +B A +ĠH om +g x +)= {\ +}\ ), +] }.\] +(\ ,\ +er ror +{] }+ +Ġ\ }\ +}| -\ +A X +ĠS p +Ġd u +\ }+ +- } +im ize +}_{* }(\ +)}( - +}^{\ { +)| <\ +hom ot +_{- }^{\ +h t +[ |\ +Ġ )}{ +_{* },\ +)) | +y p +)} < +}}\ }_{ +}}\ .\] +}_{ < +_{- }, +: (\ +\}\ }\] +tra ce +}^{- },\ +Pro j +F S +Ġ1 7 +}^{+ })\ +}= \] +ale ph +\ )) +}} ]_{ +)\, =\,\ +homot opy +_{+ },\ +b r +P er +L T +! }\] +de s +}_{+ }(\ +Ġ}\ |\ +! )^{ +}] }{ +1 12 +n j +{[ }(\ +Ġon ly +})\ ! +)) }.\] +t d +s a +^{ [\ +},\ | +Ġ\ ! +Ex p +)| +\ +ra ph +] ).\] +, : +k e +^{- }}\ +)| |\ +}_{ |\ +] /( +\ },\\ +me ter +Ġ3 2 +co l +}}| _{\ +_{( - +}) ]=\ +}| -| +over brace +})\, ,\ +)] ^{\ +S C +Ġ\[ < +Ġi t +}) ]= +le ment +79 4 +{[ }{ +}_{+ }} +}},\ , +=\ ; +}_{- }\ +\,\ ,\ +}}+ (\ +{)} .\ +}^{+ }_{\ +]+ [ +r ot +p l +{) }, +av g +_{- }}\ +} !\ +Ġ2 1 +5 12 +^{* }.\] +a w +l t +),\ ; +;\ ,\ +un ction +j m +sc ri +\[ { +}}^{ -\ +var Gamma +con st +) }}=\ +d c +ĠI I +})= (- +}\! +\! +L R +Ġ ; += : +A R +B P +|= | +}})\ \ +box ed +\ }-\ +)}\ |_{\ +}^{* }}( +L P +}\,\ |\ +}| )^{ +$ },\] +^{- }(\ +}}}{ | +Ġco mp +Ġa b +Ġ\( -\ +prec curlyeq +}) )^{- +Ġ}\ |_{ +\ }=\{ +a i +) }:\ +}, |\ +ad j +r g +{)}\, ,\] +n l +ĠT he +) }),\] +V ect +ch ar +M SE +â Ģ +\[= -\ +{[}{ ]}{ +l hd +} !}\ +M F +f d +}) )} +}),\ ,\ +o si +Ġ1 9 +}_{- }( +}}^{* }(\ +}^{+ }=\ +Diam ond +}} }|\ +B L +)| + +\[ =( +}) )}{ +] })\ +t f +i ce +}\; ,\] +: [ +- [ +o s +Ġ\[\ |\ +C e +e e +Ġs a +}\| = +a su +n mid +})\ .\] +$, }\\ +ens pace +Ġ sp +Lo g +D P +Ġ ))\ +F r +| ,| +o sc +}}+ | +D E +] / +d L +n q +| )\] +ĠM e +ij kl +in e +] \,.\] +p d +Ġ lo +M P +| )^{\ +C E +S I +d N +p oly +lr corner +Ġ\[\ | +Ġ= [ +}}=\ {\ +Ġt erm +i me +a se +Ġ=\ {\ +ĠI m +})}{ | +}\! -\! +H ilb +}|\ ,\ +i tion +5 00 +)}\ ) +\{\ |\ +xx x +G W +}}^{ +}\ +row n ++ {\ ++ }( +t X +\ )} +^{\ { +})} <\ +] }|\ +}) ))\ +^{* })= +Ġ3 0 +}< +\ +}&= & +)) ) +\, |\ +B u +t n +ro ng +ra meter +14 4 +}\|\ |\ +}}\ !\!\ +}) }} +-\ ,\ +$ }} +}), & +ab le +) })+\ +r x +_{* }- +Ġ5 0 +] }}\ +c ho +d l +}: [ +( { +Ġf rom +f rown +)}_{ ( +C om +499 794 +- {\ +)|\ ,\ +l j +o b +$ .}\] +] }\|\ +)\; .\] +g o +}}, & +}) _{*}\ +}\| ^{\ +\! +\! +Ġ& - +* }^{ +)}\ }\] +}_{+ },\ +r op +)= |\ +)}\ |^{ +{| }.\] +T f +})\ ;\ +f i +Ġ} }_{ +co th +el se +v w +Ġ\ ;\ +}= -( +)+ | +F F +\,\ , +b ab +A T +D iv +P a +se c +c le +Ġâľ ĵ +Q u +m ix +\,\ | +_{* , +}) )}{\ +)=\ {( +R R +)] ,\] +Ġ times +ĠN o +T X +}\| }\ +{] }-\ +^{+ },\ +}))\ \ +}} }\\ +re sp +,* }( +}}}{ {= +}\| + +. & +-\ , +m d +\[ {}^{\ +] )}\ +( (- +da ta +^{- }_{\ +sta nt +) }},\] +! }{( +F P +d Y +di sc +S ub +Ġ ), +Ġ )} +; - +B G +C t +a f +}} *\ +Ġ exists +) _{- +arc cos +v v +}] }{\ +^{- }, +min imize +{| }+\ +\ }_{\ +S R +)}\, ,\] +i T +, }\ +}\|\ | +}) }}{\ +_{+ , +ĠG L +] :=\ +)| +|\ +})& =\ +] }^{\ +}}( |\ +Ġx y +\[( (\ +t p +):=\ {\ +)} ; +10 1 +$ }}\ +}} * +_{+ }+ +}}, ( +T u +... & +\[| (\ +i lity +Ġh as +ĠC r +Ġp oint +}| >\ +)) / +}}}\ |\ +S w +Ġ2 3 +up lus +o us +\[( {\ +en ce +\;\ ;\ +}) ;\] +s w +u m +}^{* }}{ +Ġ= (- +a z +) }]\ +D er +m r +| }}\ +x leftarrow +Ġ2 5 +}\, .\ +}\,\ ,\, +Ġf unction +\| + +S W +math rel +M A +}) ].\] +}\, =\, +R E +th er +) })^{- +) }},\ +}^{- }}\ +})}{ }_{\ +q t +)] ( +le m +{$-$ }}\ +V dash +}) ^{*}( +C V +p w +,* }\ +_{* }^{- +ti sf +)! }{( +Ġ ex +A i +Ġ}\ { +)( ( +)) > +):= (\ +u w +cho ice +Q Coh +}| )\] +P U +ar y +)}= -\ +^{ {\ +)} ;\ +Ġun i +\, ,\\ +Ġ sub +^{* })^{\ +b t +}\ }=\{ +{[ }-\ +e ri +_{* }) +Ġd r +{[ }| +m l +mo st +)\, |\, +math choice +}= : +I P +}_{* ,\ +{\ # +de n +}}) |\ +ĠâĢ ĵ +se ch +}|= |\ +{[ }\|\ +/ | += } +) }:= +li p +Ġ2 2 +)| > +D a +a R +] \|_{ +_{[ - +J ac +e u +e w +}] ) +s y +c f +Ġ\ ; +! |\! +{\ }},\ +}] ^{- +Ġm o +}_{* } +dash rightarrow +^{* })- +\ #\ +ĠC N +ar ge +)\ |\] +N T +le x +ta tion +)| }{\ +r f +B R +12 4 +):= -\ +Ġ ]\ +Ġ +( +_{- , +f ree +}}\ ,\] +Ġt ra +}([ - +Ġdi ag +{/ }\ +}} }}{ +D D +)= [\ +L L +}] [ +_{- },\ +Ġ\[= : +=\ | +{] }( +^{+ }- +Sh v +e f +de c +co nt +}^{- }_{ +se p +ig arrow +right squ +rightsqu igarrow +H P +Ġe t +ec tive +m j +Ġ )_{ +)}\ }_{ +_{* }} +}^{+ }+ +}[\ ![ +L E +:\ ; +w r +},\ ,- +dv ol +}):=\ { +:=\ ,\ +* }(\ +Ġr eg +k N +Ġ la +}^{+ }-\ +& (\ +}(\ ,\ +T T +}} }[ +em ma +[\ ,\ +Ġ(\ ( +co nd +}} ]= +})\ |\] +H C +a ff +}\, ,\\ +q x +}\ {( +}{ - +}}| \] +< - +m c +xy z +) })}\ +W F +arg max +Ġnu mber +Ġb e +)^{ +}\ +}| ) +j p +* ( +Ġ& =-\ +)} .\ +}= &\ +z I +rong ly +}| ^{-\ +^{+ })\ +Ġ supp +Ġ })}\ +}) (- +}=\{ (\ +Ġ6 4 +ĠC t +L U +}}=\ | +\[|\ { +u x +Ġ ] +Ġ{ (\ +ul ar +te st +{)}\ | +\ }}| +dash v +\}&\ { +line ar +low er +}-\ { +per f +D M +}}) }^{ +,\ {\ +] })\] +{| }( +\}\ ) +Ġco nt +- }( +R m +d o +A S +A nn +s x +}$ }.\] +B l +Ġ )}{\ +Ġor der +- }^{ +Ġ4 0 +\|\ | +Ġ\[ | +^{* }}\] +] <\ +}& &\\ +}})\ |_{ +n or +}{* }{\ +{ }^{( +Ġ /\ +g y +o ri +16 0 +] }_{\ +\| ,\] +S NR +; ,\] +D L +P o +})^{* }\] +\|_{ ( +Ġi k +S ing +c z +ĠC on +_{+ })\ +Ġ(\ (\ +A t +}}_{ + +in c +q p +I V +}\| +\| +}_{+ } +D A +Ġe qu +)) |^{ +}^{+ }+\ +C r +T P +\ }}(\ +Ġ} }^{\ +}}) | +19 2 +Ġ\( (\ +}| ^ +})\ ,\] +Ġ\[ |\ +}^{* * +}^{* })=\ +C ap +)) <\ += (- +Ġco m +R M +) }}= +}\ )) +$ }\] +P f +g n +m t +N L +E rr +ta in +13 2 +}} ;\] +{] },\ +{\{ }-\ +; }\\ +) }}{( +n y +R P +q r +\, =\, +G F +}- [ +)},\ \ +I N +Ġ[ ]{ +_{+ }} +E M +}} ]=\ +co dim +Pro b +it H +}})\ ,\ +:= (\ +}- (- +}^{- })\ +Ġ\(\ { +})= [ +)|= | +}) )\, +\, .\ +ĠI d +bab ility +_{ ,\ +d M +\!\ !\!\ +}( (- +_{* }+ +E nt +) }), +t q +Ġ\[ [ +})| =\ +}] \|_{ +p x +\, :\,\ +)^{- ( +k a +sp t +^{- |\ +re v +d H +h k +o bs +}}\ }.\] +A rea +x e +:\ ! +) })+ +}) )) +tor s +}}| |\ +_{- })\ +})] ( +cur ve +Ġ par +Ġ )) +_{\ , +am ple +scri pt +P C +T S +^{* })-\ +ii i +] \,,\] +(- ( +}_{+ }, +. .\] +Ġ }}}\ +}^{- }\] +dx d +Ġe ff +{| }=\ +}) }:=\ +Ġa c +}}= [ +v ir +Ġ error +4 00 +}\ }}\] +}) . +})| }\ +N C +}^{* },\] +un ded +)] + +\[[ ( +N p +D om +u le +_{\ {| +Ġd o +{] }\, +})| .\] +\; ,\] +}) )(\ +Ġ= |\ +ol u +M T +Ġt ype +}}{ }^{ +Ġ= & +R L +Ġ }|^{ +al ue +^{ ! +] }+\ +th od +su ch +}, + +})= {\ +)] -\ +}:= -\ +\ }.\ +Ġ2 7 +)\, ( +}} }) +)] +\ +}^{* }}{\ +k d +{] }\,\ +C or +}] }(\ +)] _{\ +< ( +Ġ{ *}\ +}}^{+ }( +\ }|\ +0 11 +^{* })+\ +~ {} +Ġ\[ <\ +})| +| +or b +p f +,\,\ ,\,\ += \] +] ]\] +z w +ce nt +P I +big m +}_{+ }\] +{[ }\| +}+... + +T HH +co h +.. .\] +)| ,\] +x p +var Omega +13 4 +M o +)) }( +_{+ }+\ +)=\ | +}^{* })^{\ +Ġ\[= (- +&* \\ +Ġ var +)}= (\ +con e +in u +^{* }).\] +}}_{ - +\,\ |\ +s ti +{(}\ { +_{+ }-\ +})}{ (\ +C L +A e +}| / +}]= [\ +}]+ [ +s v +A b +g s +Ġra te +P Q +di s +Ġ }},\ +\[ -( +j s +): ( +) *\ +Ġ exp +}}) =( +}^{+ })\] +n f +| )}\ +r ig +)}}{ {=}}\ +0 12 +\ }}{ +D T +Ġ )}( +long leftarrow +23 4 +# }\ +c at +{ * +Ġ$ ( +n b +})\ },\] +{\{ }(\ +) }+( +{| }= +\ }) +}) }\|_{ +Ġ\[ > +S el +th ere +{[ }|\ +Sw ap +Ġs ym +Ġth en +)\ } +}^{* }\|^{ +)| < +tr n +O T +}) }[ +}):= ( +d dagger +m x +)| ( +}) }}\] +)_{ +}\ +R an +B x +)} }^{\ +n T +h g +G H +!\!\ !\!\ +Ġsa tisf +)- | +is o +j h +}| , += [\ +] )^{ +Ġ\ {( +}+ [\ +Ġ }}+\ +24 0 +P A +$ },\ +}], [\ +] &\ +er s +\| ,\ +st r +T N +\ }- +] ,\, +}) )_{\ +{\ }}_{ +re p ++ \] +Ġs ta +\!\ !\ +Le b +H K +)| - +th m +Ġth ere +black square +G M +_{ ! +Ġd is +}| }.\] +}\, _{ +}\| +\|\ +Ġ= | +form ly +}) })^{ +P L +) }]\] +{( }{\ +\ }}.\] +] |\ +p en +}: \,\ +) }}+\ +-\ |\ +_{- }- +^{- })\ +}}{ [ +}^{+ }= +e ver +circ le +] }-\ +13 5 +})] -\ +c p +}^{+ })^{ +}= :\ +{) }| +] },\] +), - +Ġ deg +. -\ +,+ }( +Ġ >\ +}( { +}\! -\!\ +! }{\ +i ci +\, ,\, +}&= &\ +script size +3 00 +w e +ĠC R +)) < +}}, (\ +G S +\[\ ,\ +}^{* }\\ +s b +}, ... +Ġf inite +cccc cccc +ĠP a +] /\ +{\ }}=\ +M S +)) : +c ard +r y +}{ [ +Ġ2 6 +Ġd v +12 34 +) ** +}\ }}( +}] )=\ +B un +S N +\ }\,,\] +}_{* , +Ġ=\ | +d G +}, * +L F +l cm +_{* }=\ +De t +un i +$ }.\ +I M +j a +}^{ {\ +!\! / +Ġ=\ |\ +! }.\] +N m +l s +}\ #\ +_{* }}( +Ġ3 6 +v u +Ġ )\, +),\ ;\ +\, =\,\ +}} ]^{ +C Alg +cu t +}\! +\!\ +i es +n on +};\ ,\ +K K +}| {\ +{|}\ ; +de x +ea k +Ġpro bability +B i +{(}\ ,\ +tra in +C K +r p +Ġp er +}* _{ +)^{* }\] +)\ },\ +or phi +u re +}| }{|\ +^{( {\ +}}- (\ +}} }}\] +C x +{| }\\ +}}& -\ +cy c +}_{- }^{ +}| -|\ +z x +}: |\ +}\, ,\, +Ġ:=\ { +}: \| +}}+ |\ +10 8 +u mber +)+ (- +C u +o rm +}}^{- }\ +Ġ prime +ga p +)( | +\! -\!\ +)\, :\, +}}& =\ +' { +t m +E P +x f +Ġs o +P erf +si de +[\ ![\ +~ {}\ +^{* })+ +inu ous +s to +tri c +_{* }\] +}] =- +)+ \] +Ġ curl +R C +x u +w w +| },\] +co ker +12 1 +n ce +L C +.. , +}}=\ |\ +Ġ }{( +}\,\ ,\,\ +f r +v t +| )^{- +h a +Ġ || +)= &\ +Ġw eakly +. + +a si +}- \] +}) )}^{ +lo ck +{)}\ |\ +dx ds +tr ue +}} }^{( +{)}^{ -\ +\ })=\ +ect ed +U V +\% \) +}\, ,\,\ +}\! =\!\ +a cc +)\; ,\] +M e +m on +Ġ=\ {( +)^{ [ +_{( -\ +28 8 +{) }&\ +t b +|= |\ +s at +)|= |\ +h v +Ġ )^{- +)\, {\ +le ngth +Ġ} [\ +}^{\ ,\ +ĠT ime +L D +}}| ( +Ġ ext += {\ +M R +00 5 +(-\ ) +Con v +l p +, . +}}) }.\] +{ +} +u c +}^{* \ +] }+ +{) }|\ +}}\| ( +n v +}) )=( +)^{ (\ +}}(\ { +}\ }+\ +)] - +ĠV ar +; [ +B y +C y +D w +\| }{ +)) ).\] +Ġ5 6 +^{* },\] +Ġcon stant +e i +homotopy limit +2 13 +| },\ +at e +^{* }}^{\ +F T +b n +}} }}{\ +^{- }} +}] )= +d Q +^{\ , +tr op +}^{* })= +ĠL emma +R a +E S +t g +_{ {( +-\ { +}}_{ (\ +}))\ ,\ +\{\ , +] ]\ +a j +t N +\ (-\) +Ġd W +L u +Ġ rank +ma p +cri s +}}) / +}} ]( +t k +or em +}}) ) +n K +^{* }: +Ġdx dt +}] )^{ +)) &\ +}}[ ( +}^{* }}(\ +)) )= +})= \] +k T +}) * +}^{- }=\ +sp ec +Ġint eg +P P +` ` +:=\ {\ +)& ( +}}) }( +B T +}\ }^{ +Ġ{ | +)( -\ +)\, =\, +^{- },\ +{) }> +})| |_{ +[ {\ +z y +[\ , +Ġ over +))= (\ +F l +\ }: +12 2 +Con e +. \, +C n +O PT +\ }}{\ +Ġ3 1 +}+ { +}\| ,\] +10 5 +^{* })}\ +}] / +11 3 +Y Z +d E +}) _ +Ġ2 9 +L in +)} /\ +Ġ2 00 +}:= [ +M ax +N A +N E +big circ +o c +r ror +f ix +la tion +h f +)}{\ | +i w +e ar +Ġ inf +In v +}) )|\ +)< +\ +P V +Ġ( ( +res tri +ĠS O +Ġ- (\ +B F +] }- +v x +la ss +{| | +})] ^{\ +L a +P SL +: |\ +p ut +Ġ ^{*}\ +)! }\] +Ġterm s +q z +\( { +R x +\| <\ +})}{ }_{ +) _ +Ġ })+\ +S ch +t ed +co m +\, ,\,\ +}=( ( +M D +Ġ_{ ( +)/ (\ +}}& = +J X +) }}}\ +^{* }:\ +}& =-\ +U n +h y +M or +}}_{ [ +}] ]\] +}& (\ +\ })= +y n +}) }\,.\] +})( ( +Ġ }),\ +me n +^{* }}}\ +\{ [ +}^{+ }.\] +,\ ! +la s +S ol +T op +] | +}_{\ # +fra me +ad d +Ġ )\,\ +}$ - +Ġ ro +}_{+ }^{\ +ve l +00 2 +Ġ *}\ +}= & +Ġme asu +G e +})| + +B in += :\ +I F +{ {(\ +Ġ }).\] +^{+ })^{ +on e +L O +}) }) +}] \,\ +}^{ < +Ġn t +})/ (\ +. ( +ĠC n +\ }\, +Ġ gen +|\ ; +}_{ / +A W +}}( [\ +) }}, +arrow right +G C +) }))\ +d T +N t +{\ }}= +)) )=\ +^{+ }\] +}}\, ( +var Lambda +C O +Ġ vec +in i +^{* }), +** } +}}:=\ { +}}) :=\ +] ] +tri v +)) }{| +re t +})| ^{\ +he art +big triangledown +}| ,|\ +, +}\ +)\ }^{ +ĠA x +)] }\ +heart suit +p c +}}{ {= +ra ble +ĠP ro +)}}{ {=}} +K M +U U +}^{ > +}}{ }_{ +_{* }+\ +I s +ra c +)| ^{- +ici ent +|_{ [ +}}{ }^{\ +sin ce +}}| }\ +{, }\] +b p +d Z +}^{* })^{- +&& &\\ +) }}_{ +=\ |\ +:\ ;\ +A E +| ).\] +_{+ }=\ +. ,\] +p ol +^{* })^{- +_{{ }_{( +Ġ\(-\ ) +T R +}) ],\] +}^{* }}\] +Ġi m +go od +Ġ })^{\ +\| }{\ +)| >\ +{- ( +v a +})] +\ +) }}- +h u +}}^{* }\] +g p +)] ,\ +f ib +Ġ })-\ +^{+ }+ +ro up +)= : +\ )- +};\ , +&= & +|\ | +)) +( +11 11 +V ec +l b +^{+ }}( +] ),\] +i le +}_{* }^{\ +Ġ}\ ; +99 8 +H T +Da sh +}$ , +m h +{) },\\ +B E +T w +})= | +restri ction +O rb +}\! =\! +Ġ edge +^{* }}{\ +}[ -\ +B U +L B +R G +\ };\] +f e +ab cd +)&= & +)= -( +] ),\ +ĠR es +_{+ }}{ +z t +F G +o ff +}))\ |_{ +Ġ& ( +18 0 +Ġcon tain +big triangle +co re +})| }{ +bigtriangle up +l ds +99 9 +{ }{ +Ġi x +{] }- +}}}{ (\ +\! +\!\ +ĠN umber +Ġ log +15 0 +v Dash +Ġp osi +D C +D g +o f +}\ }\\ +\|_{ * +23 1 +Ġbo unded +D S +ri d +})| | +Ġ\[+ (\ +n N +b l +}_{\ {| +12 6 +Ġ inter +ii int +}}= [\ +]{ } +P F +h h +Ġ\ % +), [ +})}{ |\ +ĠI n +r v +t H +k u +_{+ }^{- +w eakly +)}= - ++ }^{ +Fro b +))\, .\] +P R +pa ct +K T +\{\ { +on ent +ĠA lg +Ġbo und +}} }^{- +}})\ | +Ġ3 3 +A f +ĠD u +q s +{| }^{\ +,\ ,\, +\ }( +\[ < +}) ^{*}(\ +}^{* }|\ +S V +}) )}.\] +}| }( +}\, +\,\ +AB C +Ġ\[ -( +)) ,\\ +& | +{ .}\] +}_{ (- +au g +A M +M in +b q +}: \\ +re c +_{* }}{ +ab s +ec tion +]- [ +^{ {}^{ +}] ).\] +}] ; +{| }(\ +_{- ( +era ge +14 5 +olu tion +, ... +3 21 +}} }[\ +mo oth +i al +p tion +De f +Ġa v +})=\ {( +T L +}}) > +]= -\ +A V +h r +r j +i H +: \| +Q P +\| ^ +})\, |\, +a h +} ...\ +ra m +}}\| (\ +O D +g f +Ġ3 4 +},\, -\ +ĠD i +}}, ..., +38 4 +ri t +\|\ ,\ +_{+ }^{( +}) }&\ +}\},\ {\ +}} ].\] +S B +; {\ +T v +si ble +le ave +A y +45 6 +Ġ1 000 +}^{* }}^{ +Ġ_{ - +Ġ\[=\ | +2 16 +p T +u q +Ġ ar +{( -\ +[\ { +F in +^{ < +i A +i able +M on +T F +b al +er o +h x +{\ }}^{ +)) },\] +Ġco nd +\ }}=\ +}} . +^{* }|\ +^{* }(- +}] \, +3 20 +,\,\ ,\, +N a +] =( +f l +}\ )} +)\ }=\ +_{- }+ +) }}+ +no rm +: }\ +_{\ ! +)| } +\ }).\] +S G +Ġ size +_{* }-\ +x a +le n +arc sin +}]- [ +] & +Ġ\ &\ +)) )^{ +)_{+ }^{ +2 11 +A U +B W +}) _{*} +de nt +|\ ;\ +}\!\ !\!\ +)) :=\ +^{* }| +Ġ6 0 +N M +t ch +| }=\ +A s +{[ }- +Ġ3 5 +Ġ })- +}}\ !\! +}\| }{ +H e +ĠM o +}^{* ( +}^{- }= +dy dx +\| +\| +O ut +{ }{}{ +p u +_{+ }\] +}=- (\ +\;\ ; +sq subseteq +]\ !\ +R D +}})\ |\ +})\ ;.\] +}\| <\ +Ġcon v += -( +> - +se n +Lo c +) { +P E +ds dt +_{* })\] +_{* }:\ +C I +{[ }\,\ +L A +{)} <\ +Ġ8 0 +Ġcon n +t c +Ġ3 7 +}_{+ }.\] +ow er +)+ |\ +]\! ]\ +P M +it s +}):= (\ +D N +\ }\,\ +] ^{( +})| |\ +W P +)) -( +}\| ^ +Ġ da +up tau +mo de +\| | +:=\ {( +Ġs ign +P GL +}\ : +ĠA d +ĠY es +)) }=\ +di ff +.. .. +34 5 +c sc +| }(\ +)} })\ +T ot +Ġ 99 +10 24 +\( {}_{ +ĠS L +Ġ4 8 +I so +b z +n L +}} }}{{\ +F M +a ce +{) }^ +Ġ( -\ +ĠC om +}}| |_{ +ĠSp ec +P e +b w +}^{- }- +), (- +P oly +Ġcont inuous +}] |\ +})| <\ +}|_{ [ +Ġ }}.\] +}^{* }: +Ġal most +r w +}+\ \ +M a +o u +! }(\ +^{+ }=\ +2 000 +Ġ case +Ġ )|^{ +\| {\ +}^{* }\|_{\ +}: \|\ +}_{+ })\ +A ff +ĠA v +_{- }} +cccc cc +comp lement +> ( +^{* }|^{ +}& & +a ma +s j +\[\ , +}_{+ })\] +) }}) +C s +d U +ma in +}_{ , +00 01 +}$ },\\ +}_{- }(\ +I w +j t +in ed +) })}{ +}{ }^{( +)| ,\ +te p +H ol +q q +Ġ )\|_{ +po st +S F +{( ( +) })(\ +)] ^{- +P u +a us +36 0 +$ .}\ +o rt +}} ... +}^{* })_{ +)}( ( +}^{- }+ +und s +_{ !}\ +}) }^{( +am p +}),\ ; +}( (-\ +00 4 +}):=\ {\ +ro ss +Ġop en +Ġ qu +00 8 +,- }( +)& -\ +Ġ })( +}, +\ +( . +Ġ })=\ +)} |_{ +ĠA ut +n R +}^{* }).\] +{| ( +15 6 +}$ .}\] +^{\# } +}) _{- +}} ]^{\ +{\| }\] +:= -\ +x v +d K +{(} [\ +]\ }\ +{] }_{\ +})| - +}* ( +$ } +}] \}\] +|- |\ +âĢ Ļ +U E +,\ ;\;\ +D h +var Delta +Ġ& =( +black triangleright +al ity +}^{* , +}|\ ! +st d +\ }}+\ +10 4 +frame box +,\ ;\; +}\, +\, +A z +}\ }+ +}| }}\ +}}, - +G A +N P +q n +Ġ\ ,\] +)}=\ { +Ġ )(\ +{\| }( +_{- }}{ +))^{ * +, (- +B er +m L +}^{* })+\ +ĠS ym +,\, ( +erf c +w x +})\ !\ +\|\ , +om ial +})] _{\ +Ġ9 5 +Ġre sp +})^{ +}\ +Ġd B +) &- +), {\ +F E +T ra +h ss +Ġe lement +L G +Ġ\[ := +Ġd iff +}* | +) }))\] +),\ ,( +curve arrowright ++ }^{\ +(\ , +)) [ +00 3 +{\ '{ +}} })^{ +\ }> +{\ }}\\ +em p +Ġf ix +Ġs h +ĠI II +sm ile +| )| +); \\ +C Z +k o +t L +}{ =}\ +ver ti +c T +c q +Ġ pri +}^{- }} +13 6 +0 25 +j r +)= :\ +}}^{ +\ +T erm +h yp +Ġ ge +B e +r dr +}} ]_{\ +)}\ ! +dx dv +Ġ4 2 +dV ol +ama lg +}+ || +}] /( +}^{( + +}^{* })- +}^{* })-\ +), -\ +})= [\ +}; ( +16 8 +z q +| }+\ +}{ {\ +^{* }\\ +m skip +ĠC M +_{+ }= +c v +}}_{ * +}_{+ }+ +,* }(\ +) }}-\ +\[\ #\{ +^{* }\|_{\ +Ġ )|\ +le ad +)) /\ +k q +Ġ ref +Ġ{ }_{ +\[= (\ +R f +}}) ).\] +k b +}}\ ;.\] +}^{+ }) +la x +}- { +ĠThe orem +E E +| }^{ +^{* })( +au x ++ [\ +s A +}[ {\ +\[| {\ +})) <\ +T y +Ġ })_{ +Ġ\[= [ +}< ( +}$ }\ +u se +Ġc y +3 12 +{| },\] +ca tion +L aw +M O +^{* }),\ +}_{+ , +)\,\ ,\ +}< | +ĠO p +}\; =\;\ +Pro x +\[( [ +Ġ9 6 +|\! |\! +g raph +m g +Ġ det +lo sed +22 2 +Ġ| |\ +m q +}^{- })\] +)) ]\ +})| =| +}}[ (\ +Ġ9 4 +) }}^{( +P G +w s +{|}\ ;\ +N O +}- [\ +Ġ })+ +o slash +Ġe l +})) > +}] ,\\ +}}) )= +Ġs gn +),& ( +\ }}^{ +var Sigma +M U +] }^{( +Ġ} / +Ġc l +}$ },\] +Ġ\ }}\ +sq cap +22 1 +ty pe +mu m +Ġ= [\ +Ġe n +me asu +R Hom +Ġ })= +^{* }\|\ +ik x +Ġuni formly +\ }}= +\ }|\] +K S +var limsup +)}, &\ +du al +M W +q k +po unds +\ }<\ +}\, ^{ +ĠL o +}})= (\ +orphi sm +| }|\ +me as +Ġu p +Ġp re +Ġ\[=\ |\ +\ }},\ +q c +})|\ , +.& .& +k g +{) }}\] +_{* }^{( +}}, {\ +j q +}} }&\ +}}) /\ +)) }= +v s +}^{* }& +Ġv ol +sin c +ir st +}\ }\}\] +)_{ | +i B +}^{* }\,\ +Ġ} })\ +}\| }{\ +d I +Ġ |_{ +}) }}.\] +}\| {\ +}},\ |\ +))= -\ +ĠâĢ Ķ +H L +}}\ },\] +Ġi mp +]= [\ +}\ {| +- [\ +< |\ +}^{+ , +}{ $ +}},\ | +Ġs pan +_{* ,\ +po s +i ven +Ġp r +10 2 +}+| |\ +Q R +p j +{ < +})\ |+\ +_{* }= +}) }[\ +Ġon e +{ . +ĠL e +}}, -\ +}}| = +# _{ +$ }}} +9 05 +{$-$ }} +i an +{ + +| }{|\ +^{* }_{( +f u +t B +) })}{\ +right rightarrow +}}) )=\ +rightrightarrow s +E q +w f +t j +_{- }^{( +C G +Ġ= -( +Ġs in +ma rk +)\ }= +Ġ1 28 +}^{* }:=\ +R u +a il +}) *\ +f ull +Ġ }}-\ +)) ] +Ġl arge +24 3 +}}^{- }( +Ġmo del +men sion +)= & +^{* }}=\ +}}) |^{ +)}{\ |\ +)) .\ +)+ {\ +25 0 +Ġho lds +|\ |\ +^{* }[ +}\, [ +}=( -\ +14 0 +el d +se s +)\, | +A G +\, [ +Ġ matrix +_{ !} +)+\ | +a X +nu m +\| -\ +st rongly +Ġ9 0 ++ }(\ +}| )^{\ +)\, |\ +^{ { +}( . +N e +Ġ linear +ma ll +Ġâľ Ĺ +P ar +\,\ ,\,\ +ct s +Ġ0 0 +Ġi z +}}= (- +Ġposi tive +O P +{\ }}\,.\] +}^{* }[ +Ġb c +rea sing +r q +x leftrightarrow +ci ty +G P +H R +ma xi +})| }{| +\[= - +cri t +]\ }.\] +)| |_{\ +^{* }; +Ġ\[= | +!\!\ !\ +P W +)\ { +}^{* }:\ +i L +{| }| +Q x +W e +are a +R B +)| |^{ +}}| ^{\ +)\| _ +0 15 +H M +O b +] }) +] }^{[ +)\, |\,\ +# ( +\ }| +] }} +u gh +bo w +ho rt +\{\ ,\ +}^{+ },\] +ĠP rop +})| +\ +}}\,\ | +S c +}}(\ | +\|\ |\ +sta nce +}\; ( +}{*}{\ ( +| }| +si ty +}, { +< -\ +O N +\ }}|\ +{\ , +Ġ{ [ +!\!\ ! +u d +}} }& +or k +^{+ }.\] +}) ! +Av g +Y X +\ : +u f +w v +ti e +}}) &\ +}_{* },\ +Ġcom pact +la tive +Ġ& . +})] + +7 20 +k G +Ġs ing +ĠK er +ne l +}}{ - +)} >\ +Ġ\[= :\ +osi tion +I R +Ġ )\\ +Ġ& &&\ +Ġ3 8 +. - +\ }}+ +\ }:\ +}} }}( +de v +}^{* })( +}^{+ }}( +}$ }\\ +S k +)) |_{ +cr ys +13 3 +N o +Z F +}\ })=\ +ri c +)) ]\] +}\| ^{- +}}{( - +D B +K P +S f +Ġ lin +}}{ =}\ +)}\ }\ +}}}{ |\ +}}\, | +[ [\ +m f +Ġ }}+ +^{* \ +H t +N k +h p +}}) <\ +l v +}_{ {}_{\ +Ġcon st +K U +Ġ res +00 6 +mi ze +}^{- (\ +Ġd f +l f +}& =- +_{- }=\ +\ })^{ +^{* }/ +}[ [\ +Sub set +z u +Ġ +| +{] }\,.\] +, ...,\ +}: {\ +ol d +)^{* }( +F L +k L +| }- +Ġin v +(| | +T A +^{* }}_{ +}\, =\ +))\ }\] +\! =\! +Ġ )}^{ +}| }=\ +{\{ }| +24 6 +Ġdx dy +ori thm +y t +Ġ\ & +^{\ ,\ +}< - +^{* }& +})+ | +Con f +}) $ +}) )/ +sta b +so ft +}( * +,\, -\ +Ġ5 00 +Ġ }(- +)=\ \ +A H +p b +|^{ ( +T e +co f +00 7 +})\, =\,\ +jk l +bow tie +P B +\ }},\] +N D +] > +x q +}^{ {}^{ +E u +Ġ top +ĠE nd +0 20 +v mode +| &\ +er ence +{) }=-\ +}& &\ +leave vmode +) _{*}\ +; (\ +g d +}) _{*}( +})^{ [ +sma sh +! }=\ +P H +g H +q a +Ġs pace +ĠE rror +F x +G ap +s ys +}} }\,.\] +\| )\ +)) |\] +}(- , +K t +at ch +^{* }),\] +Po i +x w +\[ <\ +}: \{ +O M +}}, ...,\ +M x +n z +}) ],\ +^{* }:=\ +Ġpa rameter +âĢ ĵ +}} ]}\ +)=\ |\ +\| [ +Ġ\[= |\ +z f +Ġ ta +{\ }}+\ +ĠC L +)}( {\ +Ġw hi +U B +^{ > +et we +etwe en +0 13 +}/ {\ +ĠI nt +| )\, +}^{- }+\ +)} ^ +}\|=\ | +Ġst rongly +* }_{ +_{- }^{- +_{+ }}( +on al +Ġ4 4 +pen dent +}) }> +circle d +. },\] +}{ (- +}^{* })+ +))\ |_{\ +* _{\ +F D +Ġ\[ {\ +})= |\ +Ġ\, ,\ +! }+\ +^{ !}\ +text circled +}] =( +&& &&\\ +I T +s ol +math ord +}) }& +}}) ^{*}\ +,* } +bre ak +5 76 +| }\, +|_{ ( +. }&\ +A n +F or +})\ } +})] - +}): ( +R ad +i ck +Ġ\ ,( +}}) : +})}=\ | +Un if +Ġ sim +_{* }: +^{[ * +Ġ:= ( +e pi +o tal +}) _{*}(\ +ll ll +up beta +}\ }^{\ +^{* }})\ +); ( +}] : +}] }=\ +Ġ} &\ +^{( + +Ġ4 5 +Ġ }}=\ +ma tion +}}\, {\ +R i +s ph +ra tion +Ġ\( [( +{] }.\ +T ype +{) }^{( +}] /\ +n se +| )( +Ġs olution +)\, ,\\ +K O +\[ {}_{\ +{\ {\ +A rg +C rit +I D +M K +)}\ ; +}^{- }-\ +11 4 +]= - +( {}^{ +0 16 +8 00 +k in +Ġ data +)) }+\ +)} })\] +}|\ !|\! +})] ^{- +Ġle ngth +}] =-\ +)\; =\;\ +}) }).\] +{\ ,\ +g ph +}^{ { +^{- }|^{ +ĠMe thod +u a +), ..., +}}}{\ | +@ @ +}\| ,\ +\[ +( +{) }+( +))^{ -\ +99 98 +$ }^{ +_{- }= +}\; ,\ +Ġ{* } +_{\# }\ +R c +Ġv al +Ġsatisf ies +Q M +}}(\ |\ +}}) [ +Ġe v +T D +ci te +\ }}, +] := +)) }{( +on s +( (-\ +Y Y +\, - +Ġ_{ + +\( {}^{ +| }+ +}| },\] +Ġt w +lead sto +}),\ ;\ +eqq colon +})}{\ | +Ġu v +}/ \|\ +12 7 +22 5 +ru e +n ing +Ġ} }_{\ +})} < +})| +|\ +K e +X Z +^{* , +^{* }}, +Ġ( {\ +ĠT h +Ġp rop +) }]_{ +Ġpa th +A ss +_{ <\ +{)}\ .\] +ĠT M +\,\ }\] +}{| | +Ġif f +)! }.\] +ĠO r +V R +y ing +al most +}] }.\] +},\ ,\, +{) }=( +vert ex +Com p +s z +\, +\, +{| |\ +)| ^ +) }}{| +r z +}:=\ | +}) }\,,\] +lo ze +lin g +C W +Ġ3 9 +}}| (\ +loze nge +J Y +Ġv alue +\[(\ { +S x +u g +| [ +)= +\ +\{ {\ +^{+ }= +24 5 +Ge o +Ġ& =- +us ing +)+ [ +ĠE xt +D V +x g +A p +Ġ )_{\ +}\|_{ ( +ĠS U +^{+ }}^{\ +, < +| }\,\ +ra int +{) }}.\] +)}{ =}\ +{\| }(\ +,+ }(\ +\({ }^{- ++ - +V aR +Ġ }),\] +Ġ=\ ,\ +t ing +ig en +\|_{ [ +Ġp oly +{\{ }- +Ġ4 9 +})\, |\,\ +\[- (\ +eff icient +2 12 +> \] +J v +P ol +Ġ_{ * +}> ( +G R +n H +w u +co st +u ct +igh t +)}_{ - +64 0 +Ġpoint s +Ġvar iable +2 10 +in al +{( }(- +Ġ+ (\ +)}\, ,\ +no ise +{) }} +sta ble +4 14 +> -\ +E L +Y T +} !} +ve s +) })_{\ +ĠC ase +)| )\ +})_{ +}\ +^{+ }-\ +})} .\ +en tial +}}:=\ {\ +E G +a ss +},\ ;\; +tri bu +Ġf orm +}}) < +ĠB V +)\, , +{)} < +)< ( +E H +g t +A F +}\ {(\ +}\|_{ * +ĠE x +23 5 +})) < +): \, +dr d +Co st +| )+ +}= { +Ġ\[\ { +}^{* }\) +Ġ} ;\ +}/ \| +})&= & +H o +)| }\] +ĠK L +,& ( +Ġ:= -\ +N n +big odot +}|\ \ +}), ..., +}}[ - +up mu +}}\ ,\,\ +}] ]\ +)&= &\ +when ever +p v +de al +Ġ\[ >\ +re ct +}_{- } +76 8 +o v +^{+ })\] +([ - +Ġ{* }( +H D +N K +ma ge +)}\ .\] +}] <\ +/ |\ +R ob +| (| +) })} +A r +S Q +Ġ }}, +))\, ,\] +}} ],\ +cal ly +}] [\ +})| =|\ +E X +\ }}^{\ +ra nge +}| }+\ +)- {\ +E D +E F +Ġ hi +},\ ;\;\ +R IS +] )^{\ +c w +de pendent +00 9 +Ġdeg ree +> _{ +_{* }.\] +_{+ }) +for e +}})\, .\] +Ġ }{| +}_{\ , +}] }^{ +q e +ll corner +Ġc d +Ġh ave +33 3 +) }-( +] +( +_{\ _ +})_{ | +11 5 +\}\ }.\] +cent er +N I +w eak +var liminf +sq subset +\}\ .\] +k y +w z +}\ }\) +leq q +Ġ{ |\ +}}=\ {( +st em +ĠD iff +(| |\ +Ġconn ected ++ }_{ +: - +L x +}\ })= +,- }\ +MM D +( {}_{ +Q C +}^{* }),\ +{| }+ +)| }{|\ +O R +Ġd w +\[[ [ +)}, & +Ġ9 8 +S u +d C +Ġ ^{* +in ct +\, ; +}}:= ( +Ġ multi +Ġ}\ |^{ +Ġ^{ (\ +Is om +! \, +ĠG r +Ġ4 1 +})| }{\ +0 14 +f x +)\ ;\;\ +)\, .\ +f v +j u +me tric +ĠC C +)},\ , +D t +U L +}^{* }|^{ +{] }<\ +23 6 +leftarrow s +}) }^{- +}{ +} +)\ }}\ +{(}\ {\ +11 6 +}_{+ },\] +Ġ\| ( +]\! ] +]\! ]\] +, { +E C +b k +var Pi +^{* }}= +Ġi r +Ġp o +ĠPa rameter +}| },\ +ĠC T +Ġ }))\ +}} }\|_{ +right leftarrows +Ġw e +\ )\ +}}) & +un iv +Ġd m +ge bra +di c +R K +Ġ\( |\ +)_{ [ +{] }^{- +48 0 +,* }_{ +I G +| /\ +}^{- })^{ +}\| < +Ġgen era +L v +\| ^{- +}}) }(\ +}}} <\ +))= - +\; ( +Ġ9 3 +}]+ [\ +) [- +Ġ )}(\ +})^{ (\ +\[\| {\ +maxi mize +! (\ +Ġ( | +... + +]{ }\ +K l +f h +f w ++\ \ +^{* }))\ +{] }(\ +11 7 +, }\] +N F +u k +Ġ opt +}| ).\] +})}{\ |\ +})\; ,\] +M V +| ),\] +}) )| +}^{* ,\ +}& :=\ +)}=\ | +&* & +o bj +}\ }|\ +}}) },\] +,- ( +Ġ7 2 +R A +d D +Ġ }},\] +}{ -\ +us p +Ġd V +- )\ +}\ }-\ +}=\ \ +ge t +}^{* }\}\] +Ġt ran +triangleleft eq +E mb +N d +| }= +Ġ )| +}] \) +Ġt ot +{- - +}_{+ }; +\|=\ | +t K +}] },\ +}}) ]\ +Re LU +Ġ7 0 +}}^{+ }(\ +C ol +j b +n il +}} ...\ +))\ |\ +dt dx +Ġfix ed +# \{\ +. }}}{{\ +Z Z +}^{* }| +\, +\,\ +_{- }) +10 3 +^{+ }) +}:\ ; +)\! =\!\ += (( +L f +R H +}\ }) +lo op +^{- }}( +C d +t l +}^{- }_{\ +Ġs qu +}}) ]\] +Ġconv ex +) })\|_{ +D X +17 28 +so c +) }}\, +Ġ cr +perf ect +)\, :\,\ +]=\ { +0 21 +m N +| }}{ +Ġ\(\ | +}}:= (\ +r h +re n +}}\,\ |\ +)]\ ), +{| }>\ +ĠA u +side set +d j +}} $ +var triangle +ĠC d +Sp c +Ġcomp onent +Ġm n +iz ation +| : +\[\ {\{ +_{* }}^{ +$ }_{\ +] }{( +b v +Ġ&= &\ +! },\] +R W +Ġ= \] +_{* })^{ +}}= {\ +] }[ +! ^{ +N s +u es +le s +}:= [\ +T U +)\ : +Ġn x +G G +N x +)) & +)) ),\] +Ġ+\ |\ +6 18 +A tt +R N +t es +Ġ eq +}} })=\ +Ġ( [ +}},\ ; +}}^{* }=\ +s I +| }-\ +^{* }=( +^{* };\ +Ġ} & +M f +qu e +Ġ2 56 +O L +Ġ ap +], [\ +( ., +) })\\ +A w +}} }).\] +li z +}} }(- +}] :=\ +})+ \] +* (\ +D ist +l c +l cl +Ġ })^{- +\ }< +\[\ {[ +},\ ,\,\ +^{* }\| +Ġd X +16 2 +^{* }}+ +K n +Ġ }}- +}\ }=\{\ +ca use +ĠR ic +Ġg rad +Ġ:=\ {\ +D W +K h +}})\ ) +10 9 +V u +| ^{-( +{| }_{( +Ġd p +ge s +,\, | +13 1 +g u +{\| }| +Ġ4 3 +du dv +Rob ba +ul corner +_{+ })\] +}_{* })\ +}}< +\ +6 00 +i N +}} &- +}=\ {\{ +ce n +dy ds +})\, ( +g k +ho l +}\; =\; +: \{ +}\ }\,.\] +}_{ [- +{\ }}\,\ +fo ld +\[[ - +Ġma xi +P x +y e +rel y +) }}}{{\ +N et +{( }\, +Ġ\[ [\ +}] & +}] ;\ +)+\ |\ +an ti +$ ;}\\ +\[( | +}. \\ +ia nt +ale nt +$ }}}\ +F R +M r +f il +| ,|\ +}) _{* +}} ],\] +^{- })^{ +}^{- , +})| ,\] +):= - +| }{( +}{ }^{- +}^{* }}^{\ +ĠA B +})) },\] +Ġ* }( +3 56 +< _{ +}^{* - +Sh t +$ }}_{ +K R +}| }- +}}) )^{ +}}= | +Ġin c +c N +var Psi +Ġm on +Ġ9 7 +96 0 +K N +M ul +Ġ\ .\] +\| < +}}) +( +Ġd im +ĠL i +\! :\! +4 32 +K H +O C +}{ =} +la n +ll l +}| /\ +co r +Ġ\[=\ { ++ }\] +h l +k c +11 8 +Ġh y +\ },&\ +m ot +}} /( +}}= \] +)] }{ +measu re +E A +me s +{| }<\ +Ġs c +})( -\ +}|_{ ( +Ġn p +sp in +}}\| \] +}_{- , +}}^{* })\ +si an +Ġ} ; +}}) }=\ +)}| \] +Q T +c ed +}_{ = +\| } +}\, { +}})\ }\] +10 6 +20 1 +L HS +N B +l h +ra di +)= (( +_{- }+\ +)| -\ +Sp f +},\,\ ,\, +Ġwhen ever +] < +}\ },\\ +hi ft +ĠH F +}* (\ +a nt +ti v +}},\ ;\ +}; {\ +\}\ }\ +Ġ rad +)\ |= +;\ ,\, +_{* })=\ +\[[ (\ +905 512 +t C +^{* }}- +^{+ }}^{ +o od +)}\ { +)) :\ +{{ * +S m +Ġj k +Ġ5 4 +ut e +Ġ left +Ġp t +}})^{ -\ +Co ker +{)}\, ,\ +] )+\ +}{ -} +W h +c limit +)) }(\ +_{* * +Ġinteg er +: \\ +}^{* }=( +\, -\, +Ġk er +B H +R HS +g v +{ .}\ +{\{ }\| +succ curlyeq +}}) |\] +)}{ }_{ +ĠB o +\}\ !\ +Re l +an n +^{** }( +M I +}\ }( +}= +\ +_{[ -\ +P re +h igh +Ġ sup +}) }}( +Ġc t +)| -| +ĠI nd +homotopy climit +SI NR +$ }^{\ +0 24 +J M +M t +de p +}_{\ ,\ +}^{* }\|\ +ĠD a +)] (\ +)] \\ +13 8 +con n +Ġco st +3 24 +Ġ }]\ +}:=\ {(\ +10 7 +sk ew +Ġpa ir +X t +}^{* })}\ +}\, ^{\ +}; - +14 7 +}^{[ - +Qu ot +x I +}\ )- +{( | +16 7 +cy l +! / +! \] ++ (-\ +\ };\ +f p +| }}{\ +text sf +})+ (- +17 5 +}}\; ,\] +H z +}} }:\ +)) ^ +{)}\ ,\] +))\ ) +22 4 +01 9 +Ġequ iv +F C +{) }& +Ġf i +\, ;\ +Ġ4 7 +A N +C k +ri s +ĠS h +01 8 +}$ ,}\\ +a in +i id +or y +))=\ { +Ġ7 5 +,* }^{ +3 11 +b h +ti cal +}| &\ +^{* }},\ +_{- }\] +Ġ+\ | +- }^{\ +O r +X A +\| > +ine ar +ĠAlg orithm +S cal +\ }),\] +}} })= +ĠMe an +Ġvec tor +v f +th ick +(\ !\ +}}) :\ +Ġ4 6 +13 0 +Ġ8 1 +Ġsu rely +y l +}} }:=\ +}}{ }_{\ +00 000 +}[\ { +}:= - +\; (\ +or mal +Lo S +)}& =\ +) }}\,\ +Ġ}\ |_{\ +_{+ })^{ +})\, =\, +Ġ si +ho r +})=\ |\ +Ġ }] +}|\ }\] +Ġwhi ch +. }}\ +: {\ +B a +] |^{ +| _ +}\, -\, +or der +))\ |^{ +}\|\ , +):=\ {( +diamond suit +Ġinf inite +Ġcond ition +% ) +) })}\] +| )} +Ġ exist +Ġ\[+\ |\ +}}}{\ |\ +})& ( +Ġ* } +C a +Ġ}\ {\ +}& =( +_{+ ,\ +{\{ }\, +\; ,\ +)\| .\] +{\ #\ +Ġf ac +}}\, (\ +14 98 +sti ma +ĠC l +ĠT ra +})| > +}}^{* },\ +,* , +s pace +{ > +}}) |_{ +}^{+ }\\ +|\, .\] +Ġel se +K G +i Y +Ġ ^{*} +la y +Ġ\( | +)& :=\ += &\ +Q D +}+\ { +)) }+ +)- (- +ĠL ip +Ġc n +em ph +Ġ\| (\ +B N +c frac +}}^{ (- +/ [ +A I +P X +{ `` +pri m +^{- }=\ +}{\ ( +\| - +}), - +14 6 +)}+ (\ +E I +b g +)} _ +\[\| | +}> \] ++ + +J e +to n +{)}\ |_{ +12 9 +_{- }}( +}]\! ]\] +center dot +0 22 +p li +Ġ |}\ +Ġ proj +)\ ,\, +to tal +}] .\ +}&\ |\ +Ġb a +Ġb etween +}$ }\] +C ase +q b +Ġin d +})\, :\, +)^{* }=\ +I K +R V +] })=\ +] }\\ +h D +:\ !\ +ĠP r +Di sc +0 23 +De s +}[\ ![\ +})|\ ,\ +&& && +Reg ret +. }}}{{=}}\ +G x +Ġ vertex +th en +ra nd +da ngle +Ġ{ }^{ +)) },\ +}\| }\] +Ġc losed +Ġs y +_{* }}(\ +7 29 +H N +a ng +f a +}\ }- +th o +ĠC E +\, _{ +]\ .\] +H d +)^{* }= +}}^{+ } +}\|=\ |\ +measure dangle +] [\ +i rr +Ġ }), +^{* }}-\ +ĠC F +Ġ6 6 +( * +U C +Ġ\ ,\,\ +)- |\ +_{- }-\ +ĠM od +Ġ )}.\] +in ing +^{* })}{ +Ġd om +}}, [ +}}+ \] +Ġre d +) }}| +N h +k z +p z +})\ |=\ +er gy +})| < +prec sim +Ġ7 8 +D ol +] ^ +k A +}}\ #\ +Ġg raph +{|}\ !\ +}}^{* }}\ +Tra ce +1 99 +G rad +] )+ +m is +}+ (-\ +J K +m v +Ġ{ }^{\ +pa th +}}+ [ +6 25 +t D +ga ther +ro ot +^{* }}+\ +lu x +\ }=\{\ +b it +wi st +un if +(- (\ +)\, (\ +Ġdist inct +9998 63 +s cal +)}\ ;\ +\|\ !\ +ĠS et +Ġor d +! | +R o +V A +] )- +Ġ [- +ti o +Ġ\[ :=\ +}: \] +}^{* }),\] +ble m +15 2 +{/ } +3 22 +Ġs ol +gather ed +h G +},\ ,( +Ġ}\ ;\ +\|\ \ +_{- })\] +}^{+ }; +ĠR eg +}> -\ +14 2 +)\! .\] +ĠDa ta +=\ \ +}}\, =\,\ +}|< | +] )_{ +m K +q m +u z +}) }}^{ +}) )).\] +Ġ\( (- +}}: ( +CV aR +D H +}| }+ +om orphism +}^{+ }\|_{ +)\, :=\,\ +^{\# }( +. ,\ +0 27 +Ġ )},\ +la nd +}|\ { +Ġm s +}\ }&\ +)\| =\ +64 8 +C Y +| )+\ +~ { +&= &\ +Ġ&&& & +# (\ +K x +a N +}{ { +ĠC PU +Ġs mooth +_{* }\|_{ +{] }}{\ +ab a +&* &*\\ +}] \,.\] +}}) ^ +,- }(\ +ei ther +Ġsqu are +- , +A Y +^{* }}.\] +te rm +u dx +}\ }}{ +}}\ }_{\ +}^{- }) +11 9 +}}\, |\ +}< ... +L k +M H +P ri +la g +}([ -\ +/ \| +n omial +Ġ }+( +Ġ ^{*}( +al se +}}) ,( +(( ( +Ġ6 5 +}+\| ( +56 7 +Ind Coh +ur corner +1498 15 +j x +n M +_{ :, +op p +Ġn e +\[\| [ +}< -\ +Tr op +\[= \] +Ġ9 1 +: & +\ }}}\ +}] ),\] +)) >\ +}\| > +ve d +/\ !\!/ +10 10 +] ), +}) )=(\ +}} ]+\ +^{* })_{ +}] }= +Ġg iven +... \\ +Ġ5 7 +Ġ5 8 +})) ]\] +A J +}^{ {}^{( +)}\ ,\] +\, { +Ġ5 5 +xx xx ++ , +V E +c L +Ġ\ }_{ +}> - +Ġre al +tribu tion +) }^{*}\ +S e +\ },\, +})_{\ #}\ +19 6 +L h +Ġ })}{ +\| }\] +}&\ | +)] )\ +}_{- },\ +37 5 +Ġme an +0 34 +B O +}\ }}.\] +{) };\] +ci t +)|\ \ +Ġ$ | +Ġ9 2 +nor mal +) [( +Ġ sum +Ġ |^{\ +^{* }))\] +}^{* }/ +}_{* }}\ +L d +| )^{-\ +ĠC S +)( |\ +In f +Ġle ast +] ;\] +}| }(\ +Ġe i +ĠR F +}_{- }}\ +99 99 +here nt +Ġcontain s +] )} +s ig +ĠC A +}\, :=\,\ +13 7 +|}{\ ( +Cu rl +E V +Ġ\ #\ +me d +}^{+ })=\ +{\{ }|\ +}]\! ]\ +}) }: +Ġf d +{\{ }\,\ +): | +01 7 +Ġmeasu rable +. }& +W A +| }} +Ġ }}= +}}| .\] +Co nt +N r +\ }}-\ +h b +Ġ tri +le d +}] }| +})^{ | +ĠS ta +5 000 +T W +c g +q d +v E +^{ +\ +)| ) +ĠP o +})) )= +Ġ7 6 +\( {}^{\ +] _{( +ra cle +)\ ), +}] :\ +Ġe ss +ĠH S +)_{ |\ +)] , +2 64 +k v +_{* })= +Ġin dependent +Ġcon ver +fin ition +Cor r +A lt +j d +}|\ | +ĠOr der +, > +D x +O bj +P Sh +m z +})\ { +Ġ1 13 +^{+ }+\ +]+ [\ +F I +}\ }}{\ +ma n +}^{+ })}\ +15 5 +' ' +8 998 +}\ }).\] +})\ }^{ +}| )+ +}\, {}^{\ +}}_{ {\ +ĠT V +})| |^{ +Ġ5 2 +Ġco efficient +| +( +Ġ ))^{ +Ġ& (\ +}\| }{\| +Ġh e +{\{ }\|\ +* }_{\ +y w +}) }^ +Ġ= &-\ +ĠV alue +check mark +18 4 +t S +Ġ }}{( +}_{- }^{\ +con j +Ġad j +; -\ +S ta +S tr +W E +{) }:=\ +}] &\ +{] }\,,\] +11 00 +}=( (\ +17 6 +sti ff +r N +Ġ li +}^{- }}{ +Ġ\[= [\ +SA T +B ar +G K +_{ . +^{- }) +De n +}}) =-\ +)( (\ +16 9 +}_{+ })}\ +Ġdi am +Ġro ot +0 28 +F A +s N +| ),\ +Ġ ga +Ġ end +Ġ }}| +}) )\,.\] +era tion +Ġd d +ĠR ate +14 3 +verti ces +. }}{{\ +m y +}} })^{\ +}{ } +}}_{ = +Th e +23 2 +)\! =\! +T d +] }}( +Ġ can +era tions +15 9 +ome o +]\! ]_{ +D ir +S z +}} }}(\ +}^{* }\, +}\| )\ +:=\ !\ +})) /\ +en cy +O S +Q A +}) }}{{\ +}}(\ {\ +}\| } +ĠI V +)\, =\ +)] )\] +,- }^{ +{{ }_{ +}}^{* }, +tharpo ons +{: }\ +V V +c j +^{+ },\] +22 3 +100 00 +Ġco r +0000 0000 +8998 49 +I nn +\ }^{- +Ġ ca +_{ +\ +{) }=- +\| |\ +})) : +T ri +W W +p y +t Y +Ġ quad +ra t +}{ ** +})_{ [ +:= [ +)& =-\ +Att n +, .., +h n +m C +Ġ prod +}} }> +}}) }= +}& * +}& ...& +}:=\ |\ +Ġno rm +$ }}}{\ +8 64 +G Sp +L t +j N +{ +}\ +)) ,( +Ġd S +ĠM ax +23 3 +Ġimp lies +n w +}}\ } +var iant +_{* }|^{ +ĠV ol +}}= |\ +bi as +) }}[ +al t +}| +( +\| [\ +0 30 +E B +c lip +s hort +[\ !\ +}}) .\ +$ }( +d J +right lef +\| +\|\ +un c +}}| =\ +N c +i M +t P +}) })= +Ġs mall +}:\ ;\ +Ġ\(\ |\ +rightlef tharpoons +; | +}) )|^{ +ĠC k +^{( -\ +})=\ | +)( [ +Ġs tep +}\|\ ,\ +;\;\ ;\;\ +ian ce +B v +C X +k B +)- [ +}}) ,\\ +)} ;\] +}^{+ }}\] +Ġ5 1 +\% ) +\ }|= +| }^{\ +}) }:\ +Ġ0 1 +Ġc lass +Ġp eri +Ġequiv alent +G T +g ra +o ng +}^{ ! +}}) }+\ +uni formly +- }(\ +Ġ ]_{ +Big m +}\, +\ +Ġ\[=\ ,\ +_{+ }.\] +})) )=\ +}{*}{\ (\ +Ġdo es +ĠMo del +F it +] ,\,\ +] \,,\ +x h +Ġ ss +{) }/\ +})+ |\ +em b +33 6 +cl ub +M B +u y +}) })=\ +Ġ1 20 +) }]= +S at +}) }=( +me an +{) }/ +32 6 +A g +] \|\ +a ge +Ġ }^{*}\ +}}= : +))^{ ( +18 9 +|\, | +Ġdef ined +Ġma ny +Ra nge +Ġtw o +d ig +Ġ right +^{ = +}| =( +ĠD f +,\, (\ +val ue +& ...& +F B +^{- {\ +)] }{\ +vi al +! -\! +V I +n I +Ġt rue +{)}\ !\ +club suit +S tar +W D +}\ {|\ +qu ence +^{- }- +)}, ..., +|| ( +Ġ7 7 +r T +u al +Ġ app +^{* })} +\, =\ +* }\] +A L +n et +w ork +su re +or el +{\{}\ { +T Q +U T +] ))\ +c usp +o dic +}} ], +}\, {}_{ +\, )\ +{| }-\ +ge om +)}( [ +})+ {\ +R ed +a xi +u i +}\ }]\] +&& &\ +,+ }^{ +4527 6 +\ }}- +Ġ })}{\ +}) }(- +}} }}.\] +si s +}& := +ĠM SE +L IS +Q S +u h +}) }},\] +Ġ\[ -(\ +^{* })\|_{ +Ġ( (\ +Ġb i +14 8 +0 35 +3 32 +A c +M v +] }}{\ +] \|_{\ +Ġ )/ +^{- })\] +}\, [\ +),\ |\ +ĠE q +Ġ(\ %) +,- )\ +,+ }_{ +. (\ +T B +b ad +q j +}( {}^{ +=\ {(\ +Ġx x +}), {\ +}; [ +16 4 +{{ }^{ +)! }{\ +Ġ7 9 +Ġ&= & +8 45276 +I f +] ))\] +i K +}| }= +ĠT otal +_{* }|\ +}; (\ +24 8 +V al +v r +| )}{ +in dex +ĠM L +)! ! +S K +!\ ,\ +) }]^{ += & +c lo +co herent +}& | +\! ( +}}& ( +28 0 +})^{* }= +# } +n D +{( }-( +p g +ĠC s +}/ | +})- {\ +Ġ+ |\ +Ġ5 3 +Ġto tal +P CA +Q Q +| [\ +_{ ; +Ġ6 7 +{, }\\ +$, }\] +Ġdi mension +Ġsp e +: \|\ +F X +f s +v y +v z +at ed +\| )^{ +Ġd A +Ġe igen +Ġr s +&\ ,\ +ĠU n +}\; (\ +Ġ8 5 +G O +}} }\,,\] +}\| -\ +_{* })( +}_{+ }}( +})\, {\ +Ġ5 9 +})) ]\ +lu e +no break +}\# _{ +Ġpar t +$ })\ +Ġk t +\[\| [\ +Ġg r +\[[\ ![ +Ġ\, {\ +S i +a ut +| }, +Ġ rel +}) )] +ga tive +ĠM at +^{+ }}{ +16 5 +$ };\\ +F e +i th +y f +Ġ }^{(\ +{\ }}\,,\] +big star +}}+ {\ +Ġg roup +}}[ | +ne ss +88 6 +) }]=\ +H g +\ }\,,\ +k ij +Ġ ve +Ġf ree +, {}^{ +. }\\ +w y +}} }< +}}\ ,\, +ĠC a +re du +ĠB C +})- | +}})\ |_{\ +Ġ6 8 +}})\, ,\] +ective ly +G en +M n +Q H +h j +p oint +t V +ph ys +^{- }\] +)) }+\| +})= : +)| }{( +cccc ccccc +pe ri +M u +Ġ low +}+ (( +er y +}^{- }.\] +\|_{ {\ +}^{* }[\ +), ...,\ +it er +}]- [\ +H y +n subseteq +Ġ subset +^{* })}{\ +Ġt est +}}) ),\] +15 7 +]= (\ +Ġ6 3 ++ _{ +I O +\ })}\ +q y +{\ }}\, +Ġ& +( +Ġb lock +Ġme thod +) }}}{\ +H u +I A +] }}{ +}}^{ [\ +ĠC K +dt d +Ġ7 3 +36 8 +supset neq +)\; =\; +i on +k H +le v +ar m +ex act +ĠC H +}^{* }&\ +})^{ |\ +)},\ ,\ +25 7 +Ġ8 4 +)=- (\ +x b +Ġ cu +us t +{)}\ ; +ĠD F +}_{+ }=\ +20 8 +}}] -\ +c M +Ġ )}+\ +ĠT ype +_{* })- +): (\ +en v +}},\ { +))\ ; +let e +21 5 +Ġ8 9 +})_{+ }^{ +T Y +^{- }= +co ev +:=\ , +)] } +)] =[ +Ġ7 4 +}<... < +T E +b X +Ġ ]}\ +)}\ !\ +ce ss +})< +\ +)^{+ } +}|+|\ { +Ġmin i +\| }{\| +}\| | +<\ ,\ +Ġin dex +Ġ6 2 +0 48 +J S +] )-\ +i P +v c +Ġ subject +{\ }}.\ +)+ [\ +Ġk x +ĠS E +Ġlo ss +U f +] }:=\ +)) := +}\, _{\ +}^{\# }\ +scri ption +! }\,\ +H od +\ }(\ +^{ !} +ĠT x +}^{+ })= +}), [ +tr y +)}}\ \ +_{ = +}) )}( +}) )+( +^{- }+ +Ġn ew +}[ ] +ĠE xp +}(- ( +15 4 +))- (\ +|< | +Y M +Ġ operator +Ġ )}_{ +Ġ }}\,\ +|\ |_{ +)= (-\ +}] | +{= }\ +FP dim +M G +y u +_{ !}( +)}_{ (\ +Ġ8 8 +G raph +J u +K u +] _{- +l x +m T +)\ {\ +)| (\ +dt ds +ĠCo v +asi coherent +{{* }}{{\ +- }, +E t +Ġ under +ma g +un t +}), -\ +13 9 +Ġ6 9 +\! [ +36 5 +S oc +U R +] ^{-\ +] ]_{ +}, .., +\|_{ *}^{ +)) }+\|\ +}& &&\\ +19 8 +Ġno de +] }\,\ +}_{ (-\ +}: & +})=\ \ +}& {\ +15 3 +)\| <\ +) }}}{ +, } +C hi +H omeo +L K +}} }+\| +big times +}}{ =} +Ġi i +}}= :\ +Ġw eight +Ad j +las si +F ree +t I +Ġ })(\ +}} ]+ +la st +))\ | +Ġw t +}})=\ { +Ġre pre +\ }})\ +me r +})= -( +_{- }}^{ +}^{+ })^{\ +Ġr ot +})| ( +})) &\ +Ġ8 2 +Lo ss +Ad m +Ġra nd +A Z +K B +g lo +i D +Ġ& =(\ +^{* }}}{ +}_{+ }}\] +}:= {\ +! },\ +T z +b cd +Ġ pi +}\ {- +Ġs ample +^{+ }|^{ +ba se +)]\ ! +/ {\ +}{ [\ +)\ (\ +\{ [\ +]\ ; +}}+ (- +}}| + +}* }\ +be cause +Ġelement s +L Mod +P h +S pa +)}= [ +19 5 +Ġ:= (\ +L n +Ġ row +ra tic +\|_{ (\ +}\, ; +}\, -\,\ +ing s +35 8 +}}}{{= }}( +Ġpar ti +Ġmeasu re +! \{ +H x +] )( +i ll +q v ++\ { +Ġp ower +32 8 +Ran k +L N +L im +R X +] )}^{ +n C +| )=\ +)\ |}\ +}{\ (\ +}| }-\ +^{* }}} +}] {\ +};\ ,\, +}}\, |\, +15 8 +)]\ ,\ +tu re +}}^{+ }\] +3 23 +E T +d ro +i X +}} }: +^{* }[\ +16 6 +})^{* }=\ +0 40 +z ero +}\, / +00 10 +}^{+ }}{ +cy cle +black triangle +h w +nd ard +li c +{{ }^{\ +dig amma +] )}\] +l ct +w hi +Ġ )).\] +}) &- +}^{* }=(\ +)| }.\] +}^{+ ,\ +con stant +02 6 +succ sim +)_{+ } +D U +i ed +k M +re al +_{+ }}{\ +}\!\ !\! +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\[+ (- +)< - +9 45 +U p +g B +| =( +}) ),\\ +)) }^{\ +}\| [ +Ġd g +lus ter +}^{+ };\ +26 8 +ĠProp osition +0 33 +R y +U S +\ }),\ +i rc +Ġ |_{\ +}) )-( +}(\ !( +ĠC x +ss on +}))\ }\] +}\! ( +Ġ }}|\ +var triangleleft +}{\ #\ +}| }^{ +^{* }})\] +Ġ{ +}\ +Ġn m +Ġn et +Ġn eighbo +})( {\ +{\| ( +}:= | +18 7 +34 7 +}$ }.\ +Ġ8 6 +I L +x A +}^{- })=\ +}\, (- +Ġd vol +ĠN R +)}^{ (\ +))}\ |\ +)* _{ +G N +] ].\] +u j +le ct +Ġ\ !\!\ +(\ ! +}= [( +}}{ -\ +{) },&\ +Ġi deal +}\|\ \ +,- }_{ +}. ( +Ġ* & +Pa th +[ (- +)\ }_{\ +}^{\ {\ +Ġ1 42 +)) +(\ +}}) ^{*} +ĠA s +Ġz ero +Ġ3 00 +}:= |\ +17 7 +PS H +) })\, +) }|_{\ +F W +F y +a nge +Ġd n +40 5 +B X +_{\ {( +),\ { +Ġn s +Ġ_{ [ +Ġs te +_{* }\,\ +,- },\ +56 8 +}}^{+ }}\ +Ġinter val +: _{ +W AW +t T +}) }),\] +^{* }\) +}] },\] +}}) _{( +ĠN N +}_{+ };\ +24 7 +}):= -\ +ĠDe finition +\ }}\, +x D +y v +}) }}{( +}_{ ,\ +)=\ {(\ +pre d +}+\| (\ +34 4 +)}| | +!|\! | +N b +{) }^{*}\ +)) )^{\ +box dot +,- }/\ +20 4 +\! {\ +64 5 +Ġ** - +499 9 +) )}\, +E CH +t F +}= || +}\, ;\] +))\ .\] +):= | +17 0 +Ġse quence +}|\, .\] +! |\ +) _{*} +4 35 +< (\ +L H +a A +}_{ :, +\|_{ *}\ +)& =- +02 9 +Ġdi sc +Ġequivalent ly +Ġrand om +: \] +w ard +}\ }|\] +ma t +})\ ,\,\ +}}) ] +un lhd +^{+ })^{\ +):= [ +Pr op +ic ro +75 0 +})< ( +' s +a da +}] \,,\] +}\,\ }\] +})+\ | +}}| > +Ġpoly nomial +< \, +{\ }}-\ +ri z +Ġc s +Ġc ent +}^{+ }}^{ +})) >\ +is tic +IJ K +Cy c +Ri em +^{* ,\ +}}+\ |( +{] },\\ +ĠQ u +)! }=\ +,& | +B z +K E +] . +] )^{- +i C +n V +v dx +}) ))^{ +pi tch +li d +or e +re m +{] }}{ +for k +}))\ |^{ +17 4 +})& -\ +h A +m dim +}) )}= +bo und +}\|_{ [ +)^{- (\ +sta t +)] }\] +up alpha +26 7 +}_{\# }( +. )\ +B Z +D O +p N +Ġ split +Ġ }}\, +}=\ {[ +}}) )_{ +}_{+ }-\ +000 5 +M E +N V +e th +n sity +| )\,\ +Ġ }}\| +}) })^{\ +}) }_{( +&\ , +}] }\| +}^{- }}( +ge ne +ij m +ĠB S +}}, | +})| } +)> -\ +30 8 +03 8 +60 8 +Ġ{* }(\ +0 32 +\ }|+|\{ +Ġ err +\[ * +pri or +er v +ho colim +{) }:\ +}] \|_{\ +ĠB orel +16 3 +23 7 +19 0 +Ġtra ns +g z +}\ },&\ +(\ #\ +{) }{\ +}}) := +Ġk l +Ġ:=\ {( +sy n +pitch fork +K d +Ġ }}}{ +ti m +}{\ # +20 5 +)\! +\! +? \] +O pt +h c +Ġ cap +{\ }}^{\ +}}} .\ +21 8 +)! )^{ +{= } +34 8 +})] )\] +)^{* }.\] +40 96 +J H +J W +\ }/\ +] }(- +s eq +}( :, +}) )}+\ +}\| ,\| +Ġ= {\ +Ġk n +ĠS ing +21 7 +Ġno ise +Ġla w +aus sian +- })\ +T ime +X B +f erence +r K +v p +| )= +}\ }.\ +}) *( +}| ^{( +): [ +17 9 +D z +}^{* }}}\ +}^{* }> +Ġt f +}\|_{ - +}^{+ },\\ +ĠR S +)! }( +\[[\ ![\ +( + +D r +I u +] &=\ +b ib +y b +le ction +{) }[ +Ġ{ {\ +)) )+ +}\, ;\, +Ġa ss +)}{ -\ +_{+ })}\ +^{+ })=\ +})\, ,\\ +18 6 +Ġex act +Q f +b lock +}= [- +}: - +{] }}\ +21 9 +)}- (\ +tiv ity +. ) +] )=[ +z a +Ġ tor +\[\ {| +^{* }\,\ +ĠS C +ĠT est +}}{( ( +0 37 +L r +] _ +k C +v d +x F +=\ !\!\ +})= (( ++( | +Ġin i +is H +) }}|\ +- - +A o +P N +i ve +z g +| )- +Ġi a +}/ |\ +))\ }.\] +ĠM in +_{+ }}^{ +33 8 +is k +78 9 +ĠCon v +TN D +H am +w eight +z h +al f +\[\ {{\ +)) }}\ +Ġi e +Ġf ull +)| )\] +^{*}\ }\] +})\, | +})\, (\ +23 8 +], &\ +})] }{\ +* }^{\ +)( {\ +equ ality +)\,\ | +Ġo b +Ġ+ &\ +24 4 +15 1 +})|\ \ +Ġ| ( +Ġconst raint +Fit t +bib ref +) }}} +> _{\ +B PS +\ },& +x P +}) },\\ +{) }: +co eff +}\, ;\ +Ġ} < +_{* },\] +})| ^{- +))}\ \ +)}}{\ | +Ġsu ff +)_{+ }\] +Ġdis tribution +$ }}{\ +& [ +8 110 +] }}(\ +Ġ lower +^{* }}\| +\| (-\ +Ġp la +_{+ }[ +\}\ { +\}\ ,\] +gen ce +}}\!\!\ !\ +2 96 +i S +n B +}{ (( +}, *}\ +})\ ;\;\ +li cit +^{* })(\ +\{ + +)}( (\ +)| ,|\ +Ġm ix +{\| }_ +^{+ })= +en c +Ġtra ce +V M +ig gs +in s +|\ }\ +_{* }[ +}\|\ ! +}})\ |^{ +25 8 +J A +L arge +s hift +y g +}) }({\ +}} }}^{ +}_{\ {( +ds d +nu mber +pa ir +ĠC m +ĠT N +_{+ },\] +\},\ {\ +35 7 +Ġle vel +Ġsim ple +p L +t R +ra te +ho ld +)}{ - +re ad +],\ ; +}]= (\ +}}[\ |\ +8110 24 +e k +i I +al y +}}) [\ +re qu +ĠS T +_{* }}^{\ +dy n +Ġre du +4 48 +H erm +d ing +h s +k D +m M +| .\ +}) })_{ +}^{* }{\ +}^{* })\|_{ +ĠL inear +}},\ {\ +ĠN on +}}}\ }\] +]= \] +pe rm +})^{+ }\] +})\ }}\ +at t +^{* - +}& |\ +ĠM ul +}^{+ }}(\ +mod ule +Ġvariable s +H a +N f +c A +Ġ })}^{ +ra cy +^{- }}^{ +}| )+\ +{) }}{( +}] ] +{| },\ +\[( [\ +_{* }).\] +Ġ\[=\ {\ +}}| - +G u +i E +\, +\ +Ġ- | +... &\ +\!\ !\! +99 6 +diag up +}): \, +ĠSp in +H W +w d +}{ = +\, ;\] +14 1 +Ġde c +R r +\ })- +] }).\] +p A +t M +}) )}=\ +}_{\ {|\ +ĠK e +20 6 +)! },\] +Ġth an +Ġ }}^{( +pri v +}| ]\ +}}) ,(\ +{| }|\ +,\, {\ +40 8 +sa tisf +Ġlo cal +N orm +le vel +ap e +chi tz +ĠS ub +_{* }}\] +12 12 +))}\ | +;\;\ ;\ +redu cible +A q +[ -( +m A +s ample +}) }}=\ +\| }.\] +:=\ ;\ +st e +}}^{* }= +})) :\ +): \,\ +}}^{+ , +$, }\ +Ġsupp ort +Ġedge s +] }\|_{ +}) ... +}}\ }}\ +re nt +_{+ + +})| }\] +)\| ( +04 9 +K v +L W +| }\|\ +}\ };\] +}) !}\ +}} }),\] +hi t +}^{- })= +}\, {}^{ +}}) }^{\ +}}) _{*}\ +{] }, +}^{*}\ }_{ +)(\ | +20 7 +27 2 +)}}{ (\ +}! ( +)^{+ }\] +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 +(- , +/\ ! +{\| }\,\ +\[| |( +}_{+ + +]}\ { +}}^{* })^{ +35 2 +04 1 +F Y +G X +m P +| )^{( +Ġ\ }} +(\ !( +})\ |= +}] }\|\ +\{ +\ +\, ^{\ +}/ [ +_{* }}\|\ +}}}\ ) +ĠM axi +Ġm m +Ġ- }\ +)\,\ ,\,\ +_{| | +05 7 +Ġ{* }\] +66 7 +Ġmo st +Mo del +> =\ +E f +L at +M m +Q F +T s +\ }}_{\ +] )}{ +s Set +}\ }),\] +si ve +ri er +^{* })\\ +}] }}\ +)) {\ +Ġt e +Ġ_{ -\ +ĠS D +_{* }|^{\ +Ġr ig +\}\ ;.\] +}}\, .\ +ay er +\ })+ +] |_{ +r L +le xi +at er +\| ) +Ġf low +Ġc lo +^{+ }| +}_{+ },\\ +20 22 +}_{* }\|_{ +64 9 +,* }\] +Ġco lumn +SV D +D n +Q e +a E +_{ |_{\ +}) ]} +}_{ +\ +}} }+\|\ +bm o +)) )( +Ġi jk +re te +ĠB x +)\, ,\, +)] [ +Ġin du +}}\| _ +arrow left +28 4 +35 5 +Ġtra in +T HR +\ })^{\ +a L +a S +s low +}( || +\[ > +_{\ !\! +)\ )} +lo bal +eq sim +ĠS R +ĠX Y +ĠR an +ĠP ar +24 2 +27 9 +,+ }^{\ +Mod ule +79 2 +39 7 +Ġcon e +ĠRe LU +$ }(\ +& {\ +C art +] ]=\ +p ot +Ġ }\,.\] +^{* _{ +Ġ\[\ {\ +Ġa ff +Ġco v +\!\!\!\ !\ +U M +\ }}(- +d log +e A +g i +p K +Ġ *\ +over leftrightarrow +Ġi ts +\|\ ! +}& &&&\\ +})_{ !}( +28 7 +46 7 +|}{\ (\ +Ġdiag onal +Ġen ergy +ĠLo g +Ġcomponent s +- }+ +/ \, +L ag +Z X +[ \] +\ }^{( +\ }))\] +o log +u H +Ġ }:\ +}( ., +at u +}=\ |( +Ġ_{ (\ +{[ }\, +\[(\ {\ +Ġo bj +{(}( -\ +amil y +) ... +* }, +c st +| }_{ +Ġ }}^{- +^{- }}\] +Ġ\[ (- +^{* })) +chi ld +)-\ { +ĠS upp +)| }{\| +Ġin it +Ġ}( {\ +\!\ !\!/ +18 3 +34 56 +}$ },\ +30 6 +}}[\ | +fi cation +E N +,\ # +}} }^{*}\ +rho od +}^{* }}- +}\, )\ +Ġd F +\[( |\ +Ġy z +}_{+ +}^{ +{{ ? +}}^{* }_{ +no ugh +/ \,\ +H k +M w +] }: +o h +q h +| }}\] +| :\ +}^{ {}_{ +}| )| +}}( { +Ġ1 60 +}^{* }}-\ +ĠB R +^{-\ | +Ġe nough +ĠH e +ĠD M +)& (\ +25 4 +})] )\ +)\|\ | +26 6 +98 6 +);\ , +Ġker nel +L p +n F +}) }(( +}+\ {\ +}^{* }=\{ +}}_{ *}( +Pi v +ĠF e +11 52 +}_{+ }) +{|\ { +Ġ}{ (\ +ju ga +3749 03 +9 75 +G p +L Q +N eu +R ow +S ec +l w +Ġ })\|_{ +}\| }.\] +bigg m +ĠB B +ĠS hv +34 3 +Ġ\, |\ +})\| ^ +46 8 +Ġir reducible +O rd +s D +s amp +v ia +}} }}{{=}}\ +am ic +tor d +}^{* }; +_{- }}\] +}^{+ }),\ +ĠG M +Ġ$ [ +ch y +)}=\ {( +Ġ5 000 +}}[ |\ +)}) _{( +)[ [ +04 6 +mi tive +fix ed +) }}&\ +5 88 +H iggs +T n +a M +Ġ }-( +}) }]\ +}(\ {( +}| }} +))\ }_{ +}}}\ !\ +ĠD G +}}| } +}}| +|\ +}> | +):= (- +}* _{\ +)\| ,\] +)\| =\|\ +\{( - +29 7 +)_{+ }^{\ +iz x +)$ }\\ +Ġcom mu +6 56 +U niform +e B +Ġ\ !\! +}{ }_{( +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 +|\! | +ĠRe lative +gene ous +E s +F ac +P g +R ay +T I +}} }}}\ +ar ning ++\ ;\ +si st +}| }, +hi cle +ĠC u +)) ))\] +}\, : +]\ ;.\] +Ġc op +_{- },\] +(- )\ +Ġw ell +}_{* })\] +35 9 +fin al +Ġho r +) }:=\{ +3 34 +B f +}} })- +}} }\|_{\ +qu ery +^{* }=(\ +Ġt ree +}}) )( +Ġe mb +ĠP ri +\[| || +)] =( +})) [ +\},\ ; +\},\ ,\ +,+ , +Tor s +Ġlin k +Ġlay er +- }) +. }}( +I sing +] ^{*}\ +_ \ +b H +Ġ )^{-\ +}= ||\ +{| }[ +}^{+ })+\ +^{+ })- +25 3 +))=\ {\ +\; :\; +)^{* }}\ +|}{ } +}}\! +\!\ +Ġresp ectively +C ar +E SS +I H +V P +k E +y d +Ġ\ ;\;\ +_{\ {- +}}\ })\] +at ure +}^{* }+( +)) |_{\ +Ġ=\ {(\ +ĠS ec +})_{ , +ĠE n +}}| =| +... +\ +}}^{- }(\ +}_{- }, +64 4 +45 5 +gen era +|}{\ | +reg ular +)\! -\! +}))- (\ +Set s +0 95 +K k +O G +P in +S tep +x T +)}^{ [ +}_{* }-\ +06 5 +49 5 +dxdy dt +denti ty +- (( +6 79 +: -\ += { +C as +D PD +s er +s depth +w c +\[ +(\ +ar io +}- (-\ +}+\ ,\ +^{* }}\|_{ +ĠS tab +12 00 +Ġp erf +Ġr v +}), [\ +}_{* }=\ +&& &&\ +})^{* })\] +Ġsu rf +4999 31 +$ })=\ +* })\ +3 99 +3 000 +T H +] )=( +Ġ gap +ma rg +}(\ {| +^{* }=\{ +}^{* }:= +}\, + +{| }\,( +Ġc p +}^{+ })}^{ +}})\ }\ +}}{( -\ +44 4 +Ġit erations +Ġcomp lex +poly log +va tive +cen ario ++ (( +L y +f m +}_{ <\ +Ġf g +),\ ,\, +_{- }\\ +ĠD o +ĠD iv +on ential +)}, {\ +}_{- }=\ +Ġ10 1 +)! }\,\ +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= (-\ +<\ ! +Ġw ork +dr y +)> - +28 2 +000 3 +Le ftarrow +ome nt +})},\ | +Ġ{* }_{ +{, } +dimension al +, {}_{ +> \, +X v +] ],\] +g onal +q Q +r D +t W +}_{ -( +}} ]=[ +}^{- })_{ +Ġn r +ĠB A +\,\ |\,\ +}}| |_{\ +et s +\! [\ +]+ (\ +44 7 +78 5 +]\! ]}\ +Ġpro blem +Qu ad +) })] ++ }=\ +, {}^{\ +- }= +h et +p I +v G +y c +Ġ })|\ +}) }\,,\ +^{\ |\ +}(\ #\ +nu s +Ġ{ -( +tri vial +}\| ).\] +Ġk g +<\ !\ +Ġc KP +ĠI nitial +)\, :=\ +}}, |\ +Ġh eigh +{\| }.\] +}}| }{| +Ġ$ \{ +)\|_{ ( +>\ ! +23 0 +)\| (\ +48 5 +}): [ +75 8 +38 9 +mo geneous +) _{*}( +E uc +P erm +\ }))\ +}\ #\{ +}) )^{* +}} }=-\ +}}\ }, +geq q +^{* }+( +Ġ\[\ ,\ +Ġa e +Ġ= : +Ġd H +ĠA cc +Ġp os +ĠD v +ĠG aussian +{{ ! +36 2 +)$ .}\] +,\,\,\ ,\, +K SD +R SS +S YT +V alue +f ac +r R +w b +Ġ }|| +Ġ ]{ +}\ }_{( +}) )},\ +Ġ\ ,- +}} }|^{ +}}) )-\ +)}{ (- +ĠN F +{)} |_{ +Ġo ccu +34 2 +45 9 +}): \,\ +_{[\ ![ +{|}\,\ , +mi ssing +fi ll +)\},\ {( += + +D I +I mp +I mage +W V +\ })> +a co +Ġ )}= +Ġ mult +in put +}}) ^{*}\] +}\,\ |\, +}}| |^{ +,- }^{\ +|| |\ +Ġan aly +}}: | +})},\ |\ +Ġdi rect +cs ch +Ġgenera ted +Ġeigen value +Ġstr uct +! +\! +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 +}\! : +}\! (\ +an ce +28 3 +}}^{+ }} +val ues +Ġsub space +Me thod +ĠPro blem +Ġge ne +normal size +) }^{*} +* |\ +7 07 +U P +\ }}^{( +^{ !}( +}) })^{- +})\ |}\ +}| :\ +^{* }}_{\ +}^{- }<\ +})^{ (- +ij ab +}}^{\ , +Ġs table +Ġ\( [\ +ĠR a +)}| =\ +ac tion +inter leave +AB CD +26 1 +Ġinteg ers ++ }+\ +- }\] +\ }}} +| })^{ +| )_{ +^{ ? +)\ |\, +}= {}_{ +{( }(( +}=\ {- +co unt +}\, ;\,\ +{(}\ |( +Ġ} })^{ +48 4 +Ġde nse +96 6 +46 9 +eigh ts +58 4 +Ġdis k +Ġap proxi +9 47 +D m +H it +P sh +X W +l mn +z m +| }) +| }(- +)\ }&\ +}= _{ +{) }}=\ +co d +}^{( ( +}^{- }}\] +ĠC at +}}) ; +),\ ,\,\ +ij r +Ġs at +{\| }\| +Ġ(\ | +}}\, ^{ +}_{* }) +})& (\ +}}: \, +})]\ ,\ +}}^{+ }_{ +88 8 +95 7 +Pro f +Ġad d +\[\# _{ +Poi sson +Ġ\(> \) +semi stable +Ġdec reasing +Ġalgori thm +4 64 +b M +y i +Ġ ))=\ +}} })+\ +)\ #\ +}=\ # +{) }_{( +Ġ{ }_{\ +)) ), +}}) {\ +sp oly +Ġs d +ĠT S +_{* }\|\ +)\, -\,\ +ĠR IS +_{+ }|^{ +^{+ }},\ +)|\ ,| +(( | +(( {\ +ab y +Ġ_{\ { +Ġ)\ |\ +Ġ}}\ |_{ +,+ },\ +HS IC +Qu asicoherent +eu c +Ġinj ective +stall ine +C ent +g G +v L +} .}\] +to ch +la b +bo ol +\| }( +Ġf il +}}) }_{ +ge nt +_{* }\| +_{( + +ĠR andom +}}+ ||\ +_{+ - +)|\ | +{- }{\ +Ġ-\ ,\ +}}^{( + +})) }^{\ +Ġ| = +99 3 +})] \, +is sion +44 3 +}}] ^{- +Ġtra ining +}}&= &\ +Ġposi tion +amp ling +tho ds +$ }=\ +4 16 +F O +\ };\\ +f D +u F +x rightleftharpoons +^{ [( +}) })- +}} }}{{=}} +}, {}_{ +ex it +}=\ , +eg ori +Ġd L +Ġ( + +_{* }),\ +_{* })^{\ +))\ |\] +Ġv dx +\,\ }.\] +Ġ- (- +}))\ ) +,\,\ | +}\}\ }.\] +dz ds +}_{* }}(\ +,+ }\|_{ +)$ }\ +MC G +}\,|\ ,( +ĠLe ngth +Ġperi od +) }:=(\ +C BC +G lo +s W +t wist +v h +| |\] +Ġ ),( +}\ },\,\ +}, +}( +)) ,(\ +Ġa ction +ĠA l +Ġs l +_{* }})\ +ĠN e +Ġm t +)}, ...,\ +{{ < +}}}( -\ +48 1 +,* }=\ +Ġco un +78 6 +SO R +sn r +ation s +tain ed +Ġpri m +! \,( +0 79 +R ot +X g +| {}_{ +ra ct +|_{ (\ +}=\ #\ +Ġ& [ +ap er +}\, ,& +ĠL M +{)}\ ,( +Ġk in +Ġ\( {}^{\ +_{* })^{- +Ġr un +^{+ })+\ +):=\ |\ +}_{* }} +)! }\, +ĠO bj +([ ( +ni an +,+ }^{( +}}] }{\ +66 6 +_{\# }^{ +abc de +den ce +Ġtran sm +Ġfac tors +Ha ar +volu tion +Ġcorresp ond +) .}\] +T ran +m I +p lan +r st +| { +Ġ }\,,\] +Ġ ]( +Ġ matrices +la p +}| )}{\ +ver gence +}}^{ -( +^{* })| +}}{\ ,\ +dx dr +ĠS y +ĠV al +ĠD h +_{+ }\,\ +_{+ }}+\ +_{+ })( +tr s +}}\| + +(| ( +))= | +Ġth rough +pre s +Ġ\, |\,\ +)}| +\ +000 4 +Ġde s +el ds +ess inf +09 4 +)* _{\ +CF D +Ġdis joint +}$, }\] +})\|+\ | +emb ed +> .\] +H w +V F +\ }}}{\ +\ }|+ +f ig +| }&\ +Ġ ri +Ġ ], +}\ {[ +}} }}= +}| )\,\ +)= &-\ +^{* }}[ +{) }+(\ +}^{* }<\ +}^{* }=- +)) )\, +^{( ( +sp e +ĠB D +_{- }|\ +_{- }< +Ġg radient +ĠG S +tt ing +}$ } +56 6 +Ġco ordin +}}: [ +ome tric +}. (\ +^{\# }(\ +vi ded +}}\!\!\ ! +$ })= +3 19 += [- += [( +K s +S eq +U CB +W G +] })+\ +q ftp +Ġ ph +Ġ& \| +}| )|\ +\| : +}^{- ,\ +ĠC c +\, ] +}}_{ *}\ +{| }&\ +{| }\,.\] +}}^{\ {\ +ĠS A +_{* }}=\ +_{- })( +ĠN t +Ġy ear +}[\ {\ +Tr ue +em i +)&\ \ +Ġ8 00 +}})=\ {\ +48 7 +48 9 +50 9 +}&= &- +{|}\,\ ,\ +}}\! -\! +vi ce +resp ectively +\{+ ,-\ +( ^{ +) }}(- +4 29 +C AC +F U +] )}( +c P +c over +q g +r U +ma te +}) ))_{ +Ġ& -( +Ġ& +(\ +}| )-\ +)= + +Ġd b +Ġk i +ĠS pan +fo l +):= {\ +}}^{* }} +27 1 +\{( ( +sym metric +)$ },\] +pp ing +CF L +Ġpro cess +Ġit eration +PI NN +$ }-\ +3 96 +N LoS +j L +q C +w q +Ġ )/\ +}) })}\ +}) *_{ +}] }_{\ +\|_{ {}_{\ +)) }, +\{ || +}}) /( +Ġu u +Ġ= &- +:=\ | +}& [\ +ĠS G +))\ ,\] +Ġ- }( +ĠP oly +Ġb ase +Ġg ra +,\, [ +}|_{ (\ +ba sed +):\ ; +{)}\, .\ +})< - +}^{\# }(\ +^{! }_{\ +Cor e +lassi cal +spheri cal +aco bi +) })+( +N j +N v +T est +T eich +[ { +] }]\ +b F +i mage +o se +p ow +)\ }\,.\] +at ter +^{* })|\ +}] ^ +}^{- }}(\ +ĠS S +ĠI nf +}^{+ }/ +ĠP D +ĠG P +)}^{ +\ +}}|\ ,\ +Sp r +}$ ;}\\ +Le ngth +05 51 +\% , +44 9 +Ġma ss +Ġ&& +\ +})_{+ }\] +Ġst d +Ġprop erty +Ġsup er +Ġtri vial +Ġadja cent +) _{-}\ +; & +T EP +k X +|\ }.\] +int eg +par ti +{( }{ +}^{* })} +}}_{ *}(\ +}\| -\| +Ġn y +ĠA P +ĠS GD +_{* }}+\ +_{* }}[ +\,\ |\, +Ġb ot +}; | +sh ea +}_{+ }}| +13 24 +)! !}\ +)}) <\ +up psi +up delta +47 7 +}\}+\ { +ĠEx ample +ĠNa me +) }]_{\ +4 40 +F h +N on +R t +U X +V x +] }:\ +n G +x S +}\ }/\ +}) }|| +}) )}\| +}, . +Ġ& | +Ġ1 30 +ĠC v +)) }}{\ +}}) }-\ +}|\ ,|\ +ĠA c +Ġm p +ĠF ull +11 12 +pt R +}}| }{\ +Ġo ri +}^{*}( -\ +}\! :=\!\ +49 7 +Ker r +09 1 +St d +dn er +_{\# }( +Com m +{\# } +& =- +R n +U D +U lt +b T +Ġ ))+\ +th at +ar dner +tri es +}^{- }).\] +}^{- })+\ +}|\ }.\] +Ġs ph +}}=\ \ +}}= &\ +|_{\ { +)}+ \] +})] }\] +}|_{\ { +28 80 +}]^{ <\ +,+ }\] +,+ }, +})\; =\; +olu tions +Ġmaxi mum +Ġabs olute +& [\ +C f +E nc +Q B +S ph +i Z +Ġ })\\ +}\ }}^{\ +}\ })- +}) })+\ +=\ ) +}}\ ), +ho ck +}| }\, +rc h +}}_{ [\ +}\,\ ,( +ĠA E +.\ ; +Ġp res +}^{+ }<\ +\[(\ | +}})\ }.\] +_{+ }|\ +}}^{- }, +Ġth us +\[\{\ {\ +}\! :\ +an ish +|( |\ +)}| + +dash arrow +44 2 +06 3 +Ġ* }}\ +95 1 +95 4 +)}:=\ | +^{** }, +Ġbe fore +* | +5 77 +7 00 +h J +u T +Ġ })|^{ +}\ }}= +)\ },\\ +}| (|\ +}| /| +)= [( +{) }}_{ +}^{- }|\ +Ġu l +Ġd U +ĠD C +})-\ { +Ġh t +}_{+ }\\ +)\,\ |\ +Ġ}( | +)_{\ #}\ +\! \{ +)^{* },\ +ect ral +39 4 +Ġ* })\ +mm se +{* }{\ +circle arrowright +Ġne gative +* }= +> } +B q +D Alg +E uler +J F +R h +S in +S hi +i deal +| ))\ +Ġ ]_{\ +}\ })^{ +in variant +al ly +ar ed +^{- }},\ +}+\ , +[\ ! +\, ,& +}\| }=\ +ĠB U +ĠD L +)] +[ +il d +})| }.\] +** ( +** \(\ +Ġ+ (- +20 20 +Ġ}^{ [ +\[= [ +)}}{ |\ +)\|\ |\ +}|| (\ +75 5 +55 8 +}! \, +\# ( +}|< |\ +CR B +const raint +{}{ { +\: .\] +\ )= +i U +n Q +x N +Ġ }|}\ +}= {}^{\ +)) }{|\ +Ġt p +{| }}\ +\|\ ,\| +\{\ !\!\ +_{- }; +_{- }\|_{\ +00 20 +ĠM AX +ĠR ad +ĠK dV +Ġw ave +per fd +(( (\ +})| ^ +}}\| {\ +\[[ [\ +Ġ| + +45 4 +37 3 +79 7 +})^{* },\] +]\! ],\ +})[ [ +Ġle arning +])= [\ +Ġho ld +Mul ti +Down arrow +fpp f +rich let +# \{( +0 60 +B eta +K z +M c +T J +V G +X e +w k +y R +Ġ }}}\] +de R +}| }\\ +\| }(\ +pa rameter +ĠC G +}^{* }|_{ +}}) }- +}}) )}\ +)+ (-\ +Ġd N +Ġs cheme +_{* }{\ +^{+ }|_{ +}> = +}_{+ }}(\ +23 04 +}^{*}( {\ +}$ }_{ +)}| ( +96 5 +06 1 +08 6 +66 8 +ĠAv g +ĠPo i +Ġcent er +poch s +. }\, +A bs +F o +q L +v ity +}) })_{\ +}, *}( +})\ |^{\ +}- )\ +eg el +end s +ĠC Z +}}_{ | +}^{+ })} +Ġy y +Ġr x +Ġ10 8 +}_{* }+\ +Ġ| (\ +}): \] +50 7 +88 0 +SS YT +ĠDe ep +Ġsta ndard +IF AR +ĠLo ss +$ {\ +$ }}( +* )\] +- || +3 01 +D J +F K +L z +M IN +W M +h gh +m icro +Ġ frac +math acc +}} }; +ar ch +}| )\, +li ce +^{* })]\ +}^{* }}[ +un fold +}|\ {\ +ĠB G +di an +st s +\[|\ !|\!| +(-\ | +}_{+ }}|\ +}+( (\ +})| )\] +Ġ\[+\ , +))^{ + +back sim +ĠO D +\},\ ;\ +{\}}\ .\] +08 4 +{|}\, | +ran ce +tim ization +mathacc ent +) }}}( +) *}\ +) }],\] +. +( +5 25 +< \|\ +] }& +] }; +k P +p ure +w R +Ġ succ +Ġ ))-\ +^{ [- +}( _{ +}) $}.\] +Ġ\ }=\ +}_{\ {\| +}| +\| +Ġi u +Ġa xi +Ġ}\ }.\] +{(} [- +Ġk j +Ġs r +Ġs kew +vec tor +ĠI ter +{] }}\] +{] }&\ +Ġ{\ |\ +}})\ .\] +_{+ }}}\ +^{+ }}}\ +ĠG u +Re c +^{*}( -\ +oth er +)\| ^ +Ġ\,\ | +56 1 +)}} <\ +Ġse ch +Ġme tric +]: | +comp lex +Ġuni form +^{! }(\ +com pact +hy dro ++ ...+ +8 40 +A lb +O DE +] {( +] $}.\] +w dx +| )}( +Ġ triangle +Ġ ^{*}_{ +Ġ }]_{ +ra ted +}} }:= +_{\ !\!\ +lo ad +)) }{(\ +}}) )+ +)} /( +)} <+\ +ĠL C +ĠA b +}}= -( +_{+ })+ +^{+ }:=\ +]}\ {\ +-( | +Ġin variant +})(\ | +}=-\ ,\ +Ġis omorphism +Ġ}{ {\ +en ces +as k +}\; .\ +)^{* })\] +56 3 +000 6 +,* },\ +Du al +Ġ* },\ +!\! /\ +58 9 +fin e +})\! -\! +Ġfinite ly +_{\! {}_{ +}^{{ }_{( +GO E +Fe yn +) [\![ +A MP +H v +J B +L eg +R am +] * +b etween +n is +w ar +^{ {}^{( +}) }=- +}| }^{\ +}^{- }),\ +)) ))\ +Ġf a +Ġ=\ |( +}& (- +Ġc x +vec t +ĠE B +}), | +}_{+ })} +14 23 +dz d +}_{* }}( +che s +Ġ| {\ +})] (\ +36 00 +}}[\ ![ +)}\, =\,\ +29 1 +06 2 +Ġ{* },\ +Ġ{* }, +^{** } +Ġare a +}|\, ,\] +ime n +ĠAd am +! \|\ +) })=(\ +- ), +5 40 +E CT +I Br +K m +V U +j y +z B +Ġ }\,( +}) .}\] +}) )+(\ +}} ! +}}\ })\ +}, (-\ +}, [- +^{- [ +)}\ ;,\] +}/ [\ +ĠL ea +Ġk r +ĠT op +}}}\ ;\ +^{+ }}-\ +}_{+ }: +^{*}( [ +div idual +\[=\ | +|| }{ +)! (\ +)! }(\ +96 1 +79 3 +59 2 +69 0551 +]\, :\, +^{(- )}_{ +comp osition +})_{+ }^{\ +})\! +\! +mon o +`` \ +Hod ge +shea ves +imen sion +) }})=\ +5 24 +: \{\ +S mall +f ic +l q +}\ })}\ +me rical +}} })+ +cal l +su r +er g +^{* })_{\ +^{* }\|\] +Ġ1 40 +)) ]_{ +{| }}{ +Ġn h +}|\ ; +}[ :, +}\,\ \ +{)}\ ;,\] +}}^{\ # +_{* })} +ĠH L +12 21 +_{- }|^{ +00 12 +(- {\ +}_{* }\|^{ +as tic +)}) )=\ +37 2 +55 9 +95 3 +}\,| |\, +db l +Ġdu al +Ġcop ies +" \ +" \] +- (-\ +4 45 +D NN +J C +] }),\] +a ck +b S +h ar +j w +k I +w o +x E +x K +x m +}\ }=- +}_{\ _ +se m +li cy +)) |=\ +\, _{\ +)} [- +re st +ĠL ayer +)^{\ #\ +ĠA ccu +ĠB MO +Ġc R +ĠH C +ĠH ess +}^{+ }[\ +})_{ +} +_{+ }\, +}}| }\] +bra n +})^{- (\ +^{*} <\ +}|_{ {\ +\; {\ +Ġ[ [ +98 3 +po i +ĠRe ference +SW AP +Ġexp onent +,. )\ +Ġspe ed +! }{(\ +, [- +4 226 +A LG +I W +\ }\| +h as +w ave +Ġ ]^{\ +}_{ =: +},\ ,\,\,\ +era ture +^{* }_{- +Ġ1 32 +}^{* }(( +)) )}{\ +Ġt v +}\| ) +Ġk e +ĠB atch +it z +))\ },\] +_{- - +)| }= +:\ :\ +_{+ }).\] +})| (\ +}{| |\ +Ġpair s +) }):=\ +* }^{- +E w +S d +b L +b its +h R +i dx +r M +z ation +Ġ })) +Ġ )}| +Ġ ))^{\ +}\ }),\ +}} }}_{ +ti s +}}\ ;\; +}+ _{ +}=\ {{\ +}| })\ +co vol +co mb +}}) *\ +it e +ĠT f +Ġp ol +Ġ\[=\ , +ĠF il +}> _{\ +13 13 +Ġth is +}_{[ -\ +88 5 +tra t +{{( * +Ġra n +allow break +Ġgene ric +deR ham +, .. +; &\ +S pace +] }\,.\] +b E +o g +Ġ },\] +-\ {\ +su lt +}- || +}| })\] +Ġ}\ !\ +]\ }_{ +}[ (- +Ġe s +ĠH K +Ġg lobal +^{+ }}- +)] )^{ +))= [ +)})\ |\ +)^{* }, +}|| |\ +ct ed +}&= &-\ +39 3 +07 3 +else where +Ġemb ed +4 23 +4 25 +8 75 +I g +O FF +a th +h I +p X +Ġ }+| +Ġ {(- +}) ),( +}} }}{( +}^{\ ; +na ch +})\ })\] +^{- }}{\ +Ġa bj +), (-\ +Ġk k +Ġc ard +})- [\ +_{( [ +ĠM I +}(- ,\ +et ti +Ġ10 5 +},\,\ | +78 3 +58 7 +^{\# }, +\# (\ +Ġop timal +Ġsurf ace +E e +N Q +S a +c pl +r C +r V +w g +Ġ )}) +}) !}{ +}}) )_{\ +Ġn n +ĠB y +Ġs er +_{- }),\ +}^{+ }:= +ĠD S +ĠF S +,- )\] +})=( (\ +}\; | +)^{* },\] +,* }}\ +39 0 +Ġra m +dec reasing +ou rce +) .\\ +4 21 +B k +S eg +X L +d den +k K +m G +| |}\ +} .. +^{ {( +}\ }; +\[ := +de ns +}= &- +se l +ro rs +}}^{ | +De l +\| }=\ +ĠC W +}^{* })\|^{ +Ġ= &( +ĠB L +ĠM ini +(- |\ +/\ !/ +Ġm x +ĠR m +pt l +\[|\ !|\! +Ġ(\ |\ +})| &\ +Ġin dividual +}}[ {\ +_{| ( +)^{* })\ +})< _{ +!\! \{\ +Ġre n +IJ KL +}]}{ [ +MP C +.... .... +{}{{ }^{*}}{\ +ĠAccu racy +* }} +4 13 +Q y +j ec +q D +Ġ ]+\ +}}\ }^{ +^{- }),\ +}}^{ [- +^{* })\, +Ġ\[\ , +}] \,,\ +}^{* })=( +)) ]= +}}) }\| +)| =( +{] }| +)_{ , +\[(\ |\ +}}| )\ +38 2 +78 0 +]\! .\] +SS I +Ġ&& &- +Ġla bel +We il +}|\!|\! |_{ +ĠBi as +ode sic +ĠLear ning +! - +. }{ +B ind +B AD +I RS +M y +X w +] }\) +] ],\ +e le +m Q +o cc +q depth +s J +x U +Ġ },\, +ta tive +}, || +})\ }, +}| )}{| +}] ))\ +}^{* }},\] +^{( |\ +Ġc ar +Ġs b +12 56 +ĠM V +ĠM ed +})+ [\ +ĠD imension +}_{+ }},\ +)}_{ -\ +]^{ [ +}}^{- },\ +)}) ^{*}\ +36 1 +000 8 +)}} > +50 6 +76 3 +]\! ].\] +09 2 +77 7 +) _{*}(\ +5 27 +8 01 +< {\ +A O +H ur +S ep +] )/ +g q +l ar +p D +q F +w I +| }\\ +Ġ let +Ġ )=( +}_{ !}\ +)^{ ** +}| }}\] +^{* }}}^{ +}^{* ,*}( +}}_{ -\ +Ġk s +}& -( +_{* }([ +}^{+ }=( +ĠR L +11 01 +}), |\ +\) : +}}| >\ +ch ed +)},\ | +})(\ |\ +)}= | +}}^{* \ +ĠO b +}^{[ * +}\! :\!\ +)}) : +}}] }\] +he ight +|}{\ |\ +^{** }(\ +}}}{{= }}(\ +\)\ (\ +ĠGen era +Ġradi us +{{< }}{{\ +) {}^{ +. }(\ +\ }^ +h U +w ay +| ), +Ġ maps +Ġ }}{| +}} }))\] ++\ {\ +}}^{ {\ +Ġx n +Ġ2 40 +Ġi dentity +}}) ]=\ +{| }[\ +}\| },\ +), -( +cu racy +}/ \{\ +_{- }\,\ +}), ...,( +_{+ }),\ +^{+ }: +{- -} +{)} . +Ġ** ( +)}) )= +48 3 +Ġco de +}! )^{ +Alg orithm +SA M +Ġch annel +valu ed +$ }}}_{ ++ }= +, <\ +: [\ +E qu +] }),\ +b Y +s Y +s ome +Ġ ]=\ +}\ }:\ +ma ry +}) }}{\| +Ġ\ {- +}+\ #\ +}| & +}| .\ +}] ;\] +}^{* }\|\] +)} [( +}^{+ }),\] +st ru +_{+ }},\ +_{+ }^{*}\ +:= [\ +sta n +ab d +Ġin to +Ġ| - +)})\ }\] +)|_{ ( +44 6 +08 3 +49 4 +07 4 +}}\; =\;\ +ie w +Ġdiff erent +tiv ation +Ġoccu rs +! }\\ +H Z +K I +c pt +s V +v is +Ġ )}}{ +Ġ }+|\ +de an +}=\ |(\ +)}\ !\!\ +li an +}^{* }}+ +}\, )\] +Ġi kx +Ġf ail +}}) })\] +Ġa fter +}/ \{ +ĠL u +ĠS ymbol +Ġp d +)| +( +ĠN M +}; & +Ġ\,\ |\ +{)}\, =\,\ +,+ }+ +49 1 +ke y +ram ified +Ġtran si +5 36 +X S +[ }\ +\ }:=\ +] }_{( +] },( +] ]+[ +h ed +o k +Ġ }:=\ +Ġ target +}^{ !} +}) }\|_{\ +}) ):= +}) )].\] +,\ {( +de suit +su c +Ġ1 24 +}] -( +Ġt L +}}) })\ +}}) ].\] +Ġa bc +ĠL E +di tive +_{* }}- +ĠH ilb +bf d +Ġv ia +Ġr d +ĠE M +}}- \] +}\) : +}_{+ }^{- +})| -|\ +}\}\ .\] +|| (\ +}$ }\}.\] +Co ng +\[- {\ +96 3 +}&= &( +ne igh +ir th +46 1 +46 3 +Bi mod +spa desuit +ĠCond ition +! }(- +* })\] +B m +G f +G et +M HM +N LS +S gn +X V +\ }}&\ +] })-\ +] }{}^{ +r Q +| )(\ +}\ }\, +}\ }}+ +}} })_{\ +=\ !\! +=\ ;( +ri x +}^{\ #\ +}| ]\] +Ġf requency +un k +}}^{\ ,\ +}),\ | +^{+ }}=\ +Ġ10 9 +_{| |\ +Co eff +35 3 +ac l +^{*}, - +98 1 +06 25 +55 4 +\[+ (- +95 9 +)^{+ }( +CF K +BMO L +Ġho rizon +GH Z +ĠCom p +Ġpri mitive +- }_{\ +< }\ +M s +P s +Q b +b K +e con +g xy +r I +z b +}\ }_ +)\ }}{\ +}^{\ |\ +ho lds +^{* }=-\ +^{* })] +{) };\ +}^{- }}{\ +)) ,\,\ +\, )\,\ +Ġt y +ĠS o +ĠS w +ĠT P +ĠN et +ĠP V +_{+ }}-\ +{\| }\|\ +^{+ }_{( +}}- (- +}}| -\ +\[|\ {( +}_{+ })}\] +}}\| .\] +}}[ -\ +du e +}\; ,\\ +19 20 +}\;\ ;\; +Ġ* }, +Di rac +}! }{\ +Ġun if +Ġ\! -\! +}}]= [\ +}}&= & +Ġga in +Ġderi vative +4226 38 += {}^{ +S Z +v j +x dx +Ġ }_{- +ra ng +}) }+| +}) )^{*}\ +Ġ\ {| +}} })(\ +^{- , +}^{* }{ +}}) }\,\ +{| }\|\ +pro g +ĠB ase +\,\ \ +ĠR M +}}| =|\ +)|\ }\] +}\{ [\ +)]\ }\] +60 6 +)\; :\; +49 2 +57 60 +Ġra nge +ĠDe f +}}_{+ }^{ +olu me +short mid +) }],\ +* \] +H MR +o sp +x j +_{ {}^{ +}) ^{*})\ +}) ),&\ +Ġ\ })\ +)\ }}{ +op ulation +Ġ& |\ +li ft +{) }^{+}\ +{) }&=\ +}: \,| +\|_{ {}_{ +)) . +)) })\] +Ġf amily +or th +{| }^{- +Ġu b +sup er +re ed +ĠB M +ĠT u +_{* }}+ +Ġe pi +Ġ\[= {\ +})}\ }_{ +Ġ- [ +_{+ })+\ +rel int +ĠW eight +=( (\ +15 36 +{]}\ .\] +\[[\ ,\ +te ri +)}| +| +Ġde p +}): \\ +}}^{+ })\] +78 2 +08 2 +46 2 +^{*}) ^{*}\ +Ġse g +})}+\| ( +Ġpa ra +}^{(+ )}( +ĠFig ure +via tion +Ġarbitra ry +/ _{\ +F DR +M RT +R z +S kew +T OP +\ }|,\] +e H +h T +s G +Ġ })| +}\ }}-\ +\[ : +}, (( +{) }^{*} +)) })\ +\{ * +Ġt z +}}) ,& +Ġs w +ĠS emi +_{* }}^{- +)\, [ +)_{ {}_{ +Ġh alf +ĠG raph +}:= \] +\[= | +Ġ|\ , +}_{* }- +pre v +\[\{\ ,\ +kl m +)[ (\ +,\; | +Ġvec tors +Sta nd +Ġconstraint s +satisf ies +! \{\ +F m +n exists +| }<\ +Ġ current +}} }}- +})\ }\\ +ad dle +^{- }\|_{ +se g +^{* })> +co e +}] _ +}] )_{\ +\| },\] +}^{- }&\ +}\, ) +Ġ}\ }\] +}\| / +re at +ĠL ower +ck ing +ĠB r +ĠN aN +ĠF unction +ĠP R +ĠP SL +_{+ }}=\ +_{+ }^{*}\\ +Ġb k +Ġg rid +^{+ })}\ +\}\ ;\ +)] }.\] +)] =-\ +}_{+ }}{ +}}\, _{ +20 19 +)}, [ +})) ;\] +)}) < +55 2 +]\! ]= +Ġre qu +97 4 +Ġdy n +Ġch ain +Ġba sed +whi ch +ctr l ++ }} +\ })}{ +k J +}) };\ +}{ {}_{ +}}\ }} +Ġ1 29 +}] ]=\ +}^{* }]= +)) ],\] +}}) }| +Ġd M +Ġp otential +)| {\ +}\|\ ,\| +)\, ;\, +ĠD D +ĠP L +{\| }\, +^{+ ,\ +Ġ3 20 +ce pt +)] \,.\] +,- }\] +Ġl k +)}= : +\[= :\ +}}\|\ | +})) [\ +})] \|_{ +con c +)}| .\] +ac p +,* }= +lu id +]-\ { +55 5 +\}=\ {( +ĠRe f +Ġ\! -\!\ +Ġreg ion +Ġgen erator +.&.& .&.& +liz ation +Ġcri tical +atu res +9 64 +9 28 +9 72 +> + +A rc +H aus +\ })=\{ +] :( +n om +z M +| )/ +| |^{\ +| }}{| +Ġ box +Ġ }=( +Ġ ]= +}) )}_{ +}} }\,,\ +}, +}\ +se lf +Ġ0 10 +^{* }):=\ +^{* })\,\ +^{* }|}\ +}^{- }),\] +Ġi l +cu m +re lax +Ġc T +})}\ ;\ +}}}\ {\ +{] }> +{] }=-\ +ĠM ar +Ġb u +)|\ ,|\ +(( |\ +)}}\ |_{ +)}\, |\,\ +Ad S +ĠDe t +_{> , +cri tical +112 2 +,: }\|_{ +}}{{= }}(\ +ĠTra ining +Ġve hicle +ĠSing le +$ }\,.\] +, &- +3 18 +A ST +F EM +G AP +G auss +[ ]{\ +\ }\|\ +] }/ +] )|\ +f R +t binom +x xy +Ġ })\|^{ +Ġ ^{*})\ +}) }; +Ġ\ #\{ +Ġ1 27 +Ġa bi +Ġd rd +Ġk h +ĠA nn +_{* }(( +Ġp w +)| }}\ +}\|\ ,\|\ +Ġ^{ | +for ma +})} <+\ +}_{* }.\] +}* & +}\; |\; +Ġ&= : +Ġ* &*& +57 1 +ĠâĢ ľ +ĠCo rollary +Ġnon zero +rop ic +}^{** }, +rac te +|\!|\! | +}(* )\ +Si egel +spherical angle +) }^{*}( +) }),\\ +* \\ +- }} +> |\ +D q +\ )-\( +] }}.\] +q K +q R +w acc +y I +z K +Ġ )[ +}} }}-\ +ot one +})\ : +})\ }+ +^{* }||_{ +pa tible +}^{- }\}\] +ij s +ĠA f +Ġs f +_{- }).\] +Ġm oment +ĠF un +_{+ }^{* +\}\ ! +rel u +}))\ .\] +})| ,| +oth e +\; :\;\ +Ġ[ (\ +38 3 +)\! )\] +}! \] +68 6 +ea ch +Ġla st +Ġdivis or +5 28 +5 44 +8 192 +P SS +R d +Y D +Z W +] })+ +e z +g ch +j H +q H +u B +\[ *\ +^{- }), +Ġ0 2 +De p +Ġ1 16 +Ġ1 36 +\| { +row th +)) }}\] +Ġf f +Ġn kQ +cu bic +Ġd c +ĠS ample +_{* }}, +Ġp ert +ĠN u +}}}\ ; +ĠI nput +}^{+ }\, +_{+ })_{ +{\| }\!\ +ĠG e +}_{+ }^{( +)/ [ +}\;\ ;\;\ +)}\, |\, ++\| (\ +)_{+ }.\] +SA N +}_{\# }(\ +}\: .\] +Ġdiffer enti +- }=\ +M b +P w +S imp +] &= +e pt +g U +s parse +| }(| +Ġ ))- +}}\ {(\ +la te +}+ {}^{ +li j +Ġc f +Ġs ymbol +ĠS el +ĠS tep +Ġ\( = +_{* }},\ +_{- (\ +_{- }}}\ +ĠF ed +}}+ { +_{+ }^ +}}| -| +}=( [ +13 23 +}< \| +)}_{ > +Ġal so +}}\| | +)! }+ +)! \,( +)\| < +45 3 +pr ot +37 1 +}))^{ ( +75 9 +,-\ ,\ +no des +78 1 +pe ak +^{** })\ +^{** }- +Tw Sp +\|\, .\] +Ġpo st +Ġrepresen tation +, ^{ +0 99 +G v +R k +e K +f lip +m se +q E +t U +z R +Ġ ^{+}( +}\ })+ +^{- * +^{- }}, +)) }<\ +}}) ))\] +}}) ^{*}(\ +}}) ;\] +re ss +\{\ !\ +ĠA X +ĠA z +}}+\ \ +)| ]\ +ĠM U +st rong +ĠF E +_{+ })^{\ +ĠK M +ĠU niform +}_{+ }),\ +}_{+ }^{*}\ +})_{\ # +ĠO PT +}}}( (\ +}\;\ , +an y +Le v +37 0 +|=\ | +|< |\ +^{\# }_{ +}{}{ }] +AD M +Ġcap acity +ĠLea ve +, ^{\ +4 24 +8 47 +A m +K Z +N IP +Q Y +T t +i des +x C +Ġ ])\ +}\ }|.\] +ma sk +}} }([ +Ġ{ +} +Ġx t +}^{* }]_{ +)) )}\] +Ġi P +}\| -\|\ +ĠL L +}& : +^{-\ |\ +_{* }}_{ +_{* }> +Ġm d +})| / +\[=\ |\ +}\! /_{ +40 2 +40 3 +cccc ccc +,* )\ +}=[ -\ +\}= \] +58 6 +)^{+ }, +_{! }^{\ +Ġqu asi +Ed ges +! )\ +. }}{\ +6 59 +L b +O sc +S l +S te +g trap +Ġ )-( +Ġ })).\] +}\ }\| +ma ss +da y +mu lation +}| [\ +^{* }]\] +Ġ1 22 +Ġi mage +\, (- +Ġt s +Ġu r +ĠS q +ĠT F +Ġp aper +ĠP e +)},\ ;\ +et c +)}\, , +Ġde cay +Ġ}{\ | +Ġcon juga +)})^{ ( +Ġsu rj +}! }{( +68 9 +})\; ,\ +ori ze +ĠPro b +(. );\ +toch astic +ĠPoi sson +gtrap prox +$ }^{( +. }, +4 10 +4 22 +5 13 +I AA +V ir +\ }}[ +\ }}\\ +] }_{[ +m rk +p J +u R +Ġ lim +Ġ )),\ +}) }}-\ +}= < +{( }|| +}}^{ {}^{ +Ġ{ [\ +}^{* ^{\ +}}_{ {}_{ +),\ ;\;\ +Ġd ue +ĠL B +{)}\ ,\,\ +ĠA F +ĠS NR +_{* }))\ +_{* })\, +12 22 +12 80 +Ġv anish +)| },\ +})_{ / +ĠE G +}}| {\ +})| ,|\ +}}\| }\ +)=( [ +^{*}(\ { +64 1 +an ced +Ġdx ds +})\|\ |\ +)}\,\ | +07 0 +)\! ,\ +},\; ( +Ġ{+ }}\ +vi rt +}}}{{= }}-\ +}}_{+ }(\ +ĠCom ple +inn er +Ġcyc lic ++ ,\ +0 123 +D d +E U +E st +M Y +Q K +j ik +m Y +v A +Ġ name +Ġ }_{\{ +Ġ }}}.\] +Ġ `` +\[ :\ +}} }] +}, ||\ +la ble +text minus +}}( [- +^{* }}[\ +Ġ1 17 +Ġ1 92 +co arse +}}) }+\|\ +Ġ}\ ,\,\ +)+ _{ +})= { +Ġd Z +Ġg d +ĠG D +ln ot +per s +}/\ !\!/ +}}\| +\ +))^{ *} +}}^{* },\] +Ġ10 4 +^{*}_{ [ +Ġ\| {\ +)}) |^{ +56 2 +}|| .\] +,+ }=\ +)})^{ -\ +)_{+ }}{ +SE P +})}_{ = +RS T +Ġexact ly +Ġus er +! + +) }})_{ +0 98 +F g +J d +N w +Q U +Z A +\ }] +\ })_{ +] })- +b C +k V +v n +{ +\ +| )}{|\ +Ġ )}_{\ +}) ...\ +ri ft +^{- }).\] +set s +\, :=\,\ +Ġa ngle +]\ ;,\] +ul t +_{+ }& +Ġh f +Ġg l +^{+ })+ +{\{ }[\ +})}{ - +}))\ | +}_{+ })}.\] +}{| ( +^{*}( (\ +}}\| =\ +\[=\ { +dz dw +)! .\] +Ġ| +| ++|\ { +45 1 +08 1 +SO C +)\! )\ +}))}\ |\ +_{< }( +Ġ{+ }^{ +Ġnu ll +SW F +den se +AS SO +Ġso urce +ĠVar iable +Ġmini mum +Ġneighbo rhood +Ġass oci +) }),( ++ }- ++ }-\ +B SO +C J +R OM +\ })}\] +h N +j f +Ġ ),\\ +Ġ triv +}^{ / +ra ction +}{ }^{*}\ +qu o +^{- })+ +Ġ& \{ +{) },\, +co mm +ĠC lass +Ġ} }).\] +)+ (( +)} &-\ +}\,\ {\ +ĠV e +ĠE d +}}+ ...+ +... \, +}}\, =\ +}{( |\ +})| }{( +Ġin cl +Ġ| +\ +)})\ | +}})= {\ +}})= (- +Ġ&= (- +58 5 +68 7 +Ġdi rection +^{** }_{ +PS U +}}\; ,\ +., }\ +CM on +sw arrow +emp erature ++- +- +* }.\] +4 01 +B GL +E l +F Z +Q z +\ }=- +] ))= +c de +u ge +x aby +| }_{\ +| ))^{ +Ġ )\] +Ġ )<\ +Ġ )})\] +Ġ ]-\ +Ġ ^{*}\] +}\ };\ +Ġ& &-\ +wi t +{) },\,\ +}}) }+\| +),\ ;( +_{* }]\ +_{- }:=\ +)| ).\] +00 13 +ĠM a +ĠP C +Ġh h +}}- [\ +}}| (-\ +ĠU E +ĠW P +,- ,+ +Ġ+ } +Ġ10 6 +en na +})\,\ | +}}& (\ +an c +cd f +|\,\ | +}}^{+ }= +55 7 +yy y +09 3 +68 5 +97 3 +fe as +Ġinter se +Ġconver gence +dap tive +B g +N J +Q s +] ^{+}\ +a ij +k fl +o x +s Q +z D +à © +Ġ }|^{\ +}) )^{*}\] +}_{ >\ +ta ge +}_{\ #}\ +}=\ #\{ +sq supset +Ġ1 21 +Ġ{ {}^{\ +}^{- })+ +}^{- ,+}\ +)) |.\] +Ġt wist +)^{\ { +fo ot +_{- })- +ĠI RS +ĠM R +Th ere +}&\ { +ĠE ff +ĠR f +ĠK S +):=\ #\{ +}\) ] +)|\ ;\ +^{*}\ { +)})\ |_{\ +}\; |\ +)* } +CA T +}); (\ +Ġmod ule +tg t +ZF C +Get S +( =\ +) }}}{{=}} +/ ** +N i +P et +U N +b P +_{ ] +\[ :=\ +})\ }} +})\ }=\{ +^{* }}\\ +}\, :=\, +\, = +ca b +sp l +ĠL d +ĠA ll +<\ ;\ +ĠH W +12 35 +ĠM P +}^{+ }\,\ +}^{+ })^{- +)\, ;\] +})_{ < +Ġm icro +ĠR n +ĠD B +ĠF r +_{+ }^{*} +Ġw or +}=( | +}_{- }) +ik jl +ip tic +)\| ,\ +45 2 +up date +ir d +Ġ* &\ +80 9 +Ġ{+ }(\ +cyc lic +Ġtop olog +bran ch +* }-\ +. }\;\ +L inear +N um +W res +] }}, +] };\ +i W +m S +r F +r S +u de +Ġ }|_{\ +Ġ ):\ +le g +ta ck +si te +)}\ |( +}| )}\] +)=\ {\{ +}: \{\ +ĠC ap +Ġf ol +}}) ]( +}}) _{*} +Ġa q diff --git a/src/models/tokenizer/roberta-tokenizer-7Mformulas/special_tokens_map.json b/src/models/tokenizer/roberta-tokenizer-7Mformulas/special_tokens_map.json new file mode 100644 index 0000000..d569813 --- /dev/null +++ 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