• No results found

Denoising source separation

N/A
N/A
Protected

Academic year: 2020

Share "Denoising source separation"

Copied!
41
0
0

Loading.... (view fulltext now)

Full text

(1)

@BADCFEHG9IJGKCFLNMOE%PFQRASMOADTFUQU?VG9E%C

WXXYY[Z]\(^X`_badc^X eff`ghg`ikjmlKf`nporqbfJs%tupvjxwy

z|{K}.~=€z|{K‚ƒ…„=~†‡Dˆ‰{‡K{Š~‹ŒŽ{K‚~{

‘|{K€‡’&†=’“h’&”Š{9~‡’&‚•O„ –O—{)‹Œd„Š€m„)˜™•

š›œ›Ÿž‰„K ¢¡9£>¤™¤Š¥¦h§¨!¤=©¤™ªb¡«‘F“—¥h¬k‡­„/„Š¥J¦h§!z?®`¯z‰°

±²X`_b_³‰´µX`c¶Z[cX tpf`npnpy+jŸ·.f`qb¸i`qbfJs%tupvjmwy

¯‰~‚’¹k‹K’,Š€§9‚+{9€&€Ÿ’x˜{K>‹{®`bº)„=~Š‚+„Š~•

“[’&”{K~‡’&‚•O„!–6»`}.~’,‹Œ

¯‰>¼=~{‡‡‚~)‡‡K{|ª™¡Š¥k½b¤b¡™¤O»`}.~’,‹Œ¥¾>ƒ’&‚&¿2{K~€mАd¼

ÀÁ

z%{9}.~)Š€z|{K‚ƒ…„Š~†Š‡ˆ‰{‡K{Š~)‹)ŒÂ{K‚~{

‘|{K€‡’&†=’“h’&”Š{9~‡’&‚•O„ –O—{)‹Œd„Š€m„)˜™•

š›œ›Ÿž‰„K ¢¡9£>¤™¤Š¥¦h§¨!¤=©¤™ªb¡«‘F“—¥h¬k‡­„/„Š¥J¦h§!z?®`¯z‰°

Ã?Ä[Å,Æ

ÀÁÇÈÈÈ2È

ÉËÊ?̙Í.ÎrÏÐ>Í

ÑÓÒrÔKÕÓÖ=×ÙØ™Ú™Û)ÜmÝÞrß«ÜáàâãÛÖ=ß«ÔKÕäڙÛ)åHà/Ö=×Ù×mÔ2æµæ.Ô/ÒrڙÜáç!ÜÙÒrØHç!ÚbèrÛ)àKԉçÔKé֙Û)Ö=ÝÜÙڙÒëêì?íríî…ÜáçäÜmÒÝ)ÛÚ.æ.èàKÔ/æpïð(ÞrÔ

ßñÖ=ÜÙÒµò>ÔKÒrÔKórÝkڙâpÝÞrÜáç…âãÛ)֙ßHÔ/ÕkÚbÛå%ÜÙçÝÞÖ=ÝkÜmÝ(֙×m×Ùڊ՝çJâãÚbۅÔ/Öbç!ô«æ.Ô/õ™ÔK×ÙڙéßHÔ/Ò݅Ú=âÒrÔ/Õöç!ÚbèrÛ)àKÔDçÔKé֙Û)Ö=÷

Ý)ÜmÚbÒøÖ=×ÙØ™ÚbÛÜmÝÞrßñçÕÞÜÙàÞøÖ™ÛÔ|ڙé.Ý)Ümß«Üáç!Ô2æFâãڙÛ?ç!é>Ô/àKÜxóà|érÛ)ڙòr×ÙÔKßñç/ïù+Ò¢ÝÞÜÙçDâãÛ)֙߫ÔKÕäڙÛ)å>ú>ç!ÚbèrÛà9Ô|çÔKé.÷

֙Û)Ö=ÝÜÙڙҢÖ=×ÙØ™ÚbÛÜmÝÞrßñç‰Ö=Û)Ô#à9ڙҁç Ý)èàÝ)Ô/æë֙ÛÚbèrÒæ¢æ.Ô/ÒrڙÜáç!ÜÙÒrصéÛÚ.à9Ô2æ.èrÛ)Ô/ç/ïð(ÞrÔ#Û)Ô/çèr×mÝÜÙÒrØOÖ=×ÙØ™ÚbÛÜmÝÞß«ç

à/Ö=ÒûÛ)֙ÒrؙÔDâãÛÚbßüÖ=×Ùß«Úbç!Ýäòr×ÙÜÙÒæµÝ)Ú«ÞrÜmØbÞr×ÙôOç!é>Ô/àKÜÙ֙×mÜáçÔ/æOçڙèÛ)àKÔ?çÔKé֙Û)Ö=ÝÜÙڙÒO֙×mØbڙÛ)ÜxÝ)ÞrßñçKïýäÚ=Ý)ÞþçÜmßH÷

ér×Ùԝ×ÙÜmÒÔ/Ö=ÛÖ™Òæ«ß«Ú™Û)Ôà9ڙ߫ér×ÙÔ9ÿHÒrڙÒ×mÜÙÒrÔ/֙ۏڙۏÖbærÖ=érÝÜÙõ™Ôæ.Ô/ÒrڙÜáç!ÜÙÒrØ#ç)àÞrÔKß«Ô2çÖ=Û)ԝà9ڙҁç!Üáæ.ÔKÛ)Ô/æïhíÚbßHÔ

ÔKÿÜáç!ÝÜÙÒrØþÜÙÒæ.Ô/éÔ/Òæ.Ô/ÒbÝ#àKڙ߫éÚbÒrÔKÒÝÖ=Ò֙×mô.çÜÙç?Ö=×ÙØ™ÚbÛÜmÝÞß«ç?Ö=Û)Ô|Û)ÔKÜÙÒÝÔ/ÛérÛ)Ô9Ý)Ô/æ¢ÕÜmÝÞÜmÒ ì?íí¢âãÛÖ=ß«Ô9÷

ÕäڙÛ)åŽÖ™ÒæÂÒrÔ/ÕúÛ)ڙòrèç!Ý|òr×ÙÜÙÒæ²çڙèrÛà9Ôûç!Ô/éÖ=Û֊Ý)ÜmÚbÒÂÖ=×ÙØ™Ú™Û)ÜmÝÞrßñç|֙ÛÔûç!èØ™Ø™Ô2ç Ý)Ô/æpïŽÑ×mÝÞrÚbèrØ™Þ ì?írí

֙×mØbڙÛ)ÜxÝ)Þrßñç‰ÒÔKÔ/æŽÒrڙÝòÔñÔKÿé×mÜáà9ÜmÝ×ÙôøòÖbç!Ô2æøÚbÒ Úbò

Ô/à9ÝÜÙõ™ÔHâãèrÒà9ÝÜÙڙÒç/úÝ)ÞrÔKÛ)Ô«ÜÙç6ڙâ&ÝÔ/Ò Ö™Ò ÜÙß«ér×ÙÜÙàKÜxÝ

Úbò

Ô/à9ÝÜÙõ™Ô#âãèÒàÝ)ÜmÚbÒ¢ÝÞÖ=Ý?Üáç‰Ú™é.Ý)Ümß«Üáç!Ô2æpï?ð(ÞÔ%ÔKÿ.ÖbàÝDÛ)ÔK×á֊Ý)ÜmÚbÒëò>Ô9Ý ÕäÔKÔKÒëÝÞrÔ«æ.ÔKÒڙÜáç!ÜÙÒrصérÛ)Ú.à9Ô2æ.èrÛ)Ô

Ö™ÒæþÝÞrÔÚbò

Ô/à9ÝÜÙõ™Ô?âãèrÒà9ÝÜÙڙÒFÜÙçærÔKÛ)ÜmõbÔ/æûÖ=ÒæFÖHèçÔ9âãèr×`֙érérÛ)Úÿ.Ümßñ֊Ý)ÜmÚbÒOڙâ`ÝÞÔ#ڙò

Ô2àÝ)ÜmõbÔDâãèrҁàÝÜÙڙÒ

ÜáçérÛ)Ô/çÔKÒÝ)Ô/æpïù+ÒFÝ)ÞrÔ|ÔKÿé>ÔKÛ)ÜÙßHÔ/ÒÝ)Ö=×hç!Ô2àÝ)ÜmÚbÒúõŠÖ=Û)ÜÙڙèçì6írí¢ç)àÞrÔ/ßHÔ2çD֙ÛÔ#֙érér×ÙÜmÔ2æ¢Ô9ÿÝÔ/ÒçÜmõbÔK×ÙôµÝÚ

֙Û!Ý)ÜxóàKÜÙ֙×hæÖŠÝ)ÖúdÝÚûÛÔ2Ö=×hßñÖ=ؙÒÔ9ÝÚÔ/Òà9Ô/érÞÖ=×ÙڙØbÛ)֙ßñçÖ=ÒæëÝÚFç!ÜÙß|è×ÙÖ=ÝÔ/æäìøÑ ß«ÚbòrÜm×ÙÔHÒrÔ9Ý ÕäڙÛ)å.ç

çÜmØbÒÖ=×áç/ïhÜÙÒÖ=×Ù×Ùô™úrõŠÖ=Û)ÜÙڙèçäÔ9ÿÝ)ÔKÒçÜmÚbÒçäÝÚ«Ý)ÞrÔérÛ)ڙé>ÚbçÔ/æûì?ííþ֙×mØbڙÛ)ÜxÝ)Þrßñç(Ö=Û)Ô6àKڙÒçÜáæ.ÔKÛ)Ô/æpïð(ÞrÔ2ç!Ô

ÜÙÒà9×Ùèæ.ÔDÒrڙÒr×ÙÜÙÒrÔ/֙ۏڙòçÔKÛ)õŠÖŠÝ)ÜmÚbÒHßñ֙érérÜÙÒrØbç/ú™ÞrÜÙÔKÛÖ=ÛàÞrÜáàK֙×.ßHÚ.æ.Ô/×ÙçkÖ=ÒæHڊõbÔKÛà9ڙ߫ér×ÙÔ9Ý)ԙú=ÒڙÒrÚbÛ!Ý)Þrڙؙ÷

ÚbÒÖ=×âãÔ/Ö=ÝèrÛ)Ô(ç!éÖbà9Ô2çKï öÜmÝÞHÝ)ÞrÔ/çÔkÔKÿÝÔKҁç!ÜÙڙÒç/ú=ì6írí|֙éré>Ô/Ö=Ûç`ÝÚ?ÞÖõ™ÔkÛÔ/×mÔ/õ֙Òà9ÔkÝÚ?ßñÖ=Òô6Ô9ÿ.Üáç Ý)ÜmÒrØ

ß«Ú.æ.ÔK×áçڙâ[ÒrÔ/èrÛ)֙×pÜmÒrâãڙÛ)ß«Ö=ÝÜÙڙÒûérÛ)ÚàKÔ/ç)ç!ÜÙÒr؁ï

ÀÁ Ä

Ç

òr×ÙÜÙÒæ¢ç!ÚbèrÛà9Ô6ç!Ô/éÖ=Û֊Ý)ÜmÚbÒúrýírídúrérÛ)ÜÙڙÛÜÙÒ.âãڙÛ)ßñ֊ÝÜÙڙÒ`úæ.ÔKÒڙÜáç!ÜÙÒrØúrærÔKÒrÚbÜÙçÜmÒØ«çڙèÛ)àKÔ

çÔKé֙Û)Ö=ÝÜÙڙÒúhì?íídú`ÜÙÒæ.Ô/éÔ/Òæ.ÔKÒÝ«à9ڙ߫é>ڙÒrÔ/ÒÝ%Ö=Ò֙×mô.çÜÙç/ú`ùäÑ|ú`ßñÖ=ØbÒrÔ9Ý)ÚÔKÒàKÔKérÞ֙×mÚbؙÛÖ=ßñç/ú Hú

äìëÑ

Í.Î! "DÐ>Í#$

%'&)(+*-,/. (*0(213(245,-6)(278*:9+;59=<>*:13(?9=(+@A78*078,/BC<4D<)EFGBG4 (278*0FC6IHBKJL(2MD9/BCN4 7)FO9P.A7)9!78,=,=*07)13,=(2MQ7'RSBOM(T*07)4N)(

<)E'*/(29=(278*01:.(+*09+UWV?.(EX<Y1+>A9D<)ES,/. BG9D*0(29=(278*010.Z. 7)9D[(+(24\<4]M(+&)(2FC<)@ABO4N^7)FGN)<)*0BC,/. H9D,/.A78,H78_)(

(2)

Uh4 M(+@(24 M(24b,!13<H@<4(24b,-7)4 7)FC6L9/BG9 6Y&78*0BO4(24(+,-7)F UC;! 3[ 1+FC(278*0FC6 EX<FGFC< Rc9 ,/. BG9

,=*07)M BG,/BC<4UVS. BG9P[AFGBG4AM 78@ @ *0<7)10.13(+*/,/7)BG4AFC6a. 7)9 BC,/9!7)909=(+,/9+;NBC&LBG4N',/.(?7)FCN)<)*:BC,/. H9 7'RSBGM(*07)4N)( <)E

@<9/9/BC[FC( 78@ @AFGBG1+78,/BG<4 9+U"# . 7)9[(+(24d7 &7)FG>A78[AFC(?,=<Y<F;bBO4@A78*/,/BO1+> FG78*2;5BO4,=(29=,/BG4Na,/.(c.b6Y@ <),/. (29=(29

<)E ,/.( ,/78*/N)(+,%$ (2FGM<)E */(29=(278*01:.

#&('

)*',+-BCN/.78*0BC<(+,S7)F$UC;

U

0

(278*0FC6]7)FCRT726L9+;?.<lR(+&)(+* ;S,/.(+*/(^BG9E >*/,/. (+*dBG4EX<)*0H78,/BC<4 M >( ,=< ,/.(`(3JL@(+*0BGH(24b,/7)FS9/(+,/>@ ;

<),/.(+*'M(29/BCN4 9/@ (21+B1$A1+78,/BC<4 9T<)*'1+> Ha>AFG78,=(2M _L4< RcFC(2MN)( M > ( ,=<d9/1+BC(24b,/B,$A1 *0(29=(278*010. U32<)*c(3JL7)H@AFC(

BG4 [ABC<H(2M BG1+7)FT9/BCN4 7)FT7)4 7)FG6Y9/BO9

#&(')*'1+54

76*627)4 BGN7L;7L;98S7)4 N726Y67)4;3:

; 1+78*/(+E> FTM(29/BCN4\<)E

(3JL@ (+*:BGH(24b,/7)FP9/(+,/>@A9'@ */<l&YBGM (29'>A9 RSBC,/. @ */(29/> H(2M^90BCN4 7)F 10. 78*:7)13,=(+*0BG9=,/BG1+92U;h4^Hd7)4=< H7)M(,=(21:.=<

4<FC<)N)6);-90> 10. 7)9a7>?A@B H<)[ABGFC(Q9=6Y9/,=(2H

#&('

)*'1+C-BC,=(+*/[B ;9 EDDF

; ,/. (d,=*07)4 90HBC,=,=(2M 9/BCN4 7)FG9a78*/(

(+&)(24`H<)*/(I*/(29=,=*:BG13,=(2MU

V?. (

726)(29/BG7)4 78@ @ *0<7)10.@A*/< &LBGM(29-7 9=<> 4 MEX*07)H(+R<)*/_DEX<)*BG4 1+FO> M BG4Nc@ *0BC<)*BG4EX<)*0H78,/BC<4BG4b,=<

BG4EX(+*/(24 13(29 78[ <> , ,/.(d9/BCN4A7)FG9+UV?. BO9'.A7)9I[(+(24 > 9=(2M ; E<)*aBG4 9=,/7)4 13();[b6>GI4Y>,/.

EDDH

;

-7)FC@<FG7

7)4 MBGI78*0.Y> 4(24

:

;

78*/(2FI7D(+,c7)FU

!

U

<lR(+&)(+*2;,/.( 7)FCN)<)*0BC,/.AH9?78*/( 4<),S7)FCRT726L9c90BGH@AFC(

<)* 13<H@A>,/78,/BC<4A7)FGFC6 (*Jd1+BC(24b,+U5 4`EX7)9=,c@<BG45, (29/,/BGH78,=(D7)FCN)<)*0BC,/. Hd9+; @ *0BG<)*?BG4EX<)*0H78,/BC<4 .A7)9S[(+(24

> 9=(2MQEX<)*M(24 <BG9/BG4N ,/.(c*0(29/> FC,/9 NBC&)(24 [b6K

L-BCN4(+*/<4Q(+, 7)FUC;M:N

U3cM MABC,/BC<4 7)FBG4EX<)*0H78,/BC<4

. 7)9Q7)FG9=< R(2FGFS[ (+(24 > 9=(2MW,=< (3JL,=*07)13, 90BCN4 7)FG913<)*0*/(29=@<4 M BG4 N ,=< 9=<H(^9=@(21+B,$A1eEX(278,/>*/( <)E ,/.(

H(27)9/> */(2Me@A.(24 <H(24<4 EX<)*c7D*/(+&LBC(+R <)EP[ABC<H(2MABG1+7)F78@ @AFGBO1+78,/BC<4 9+;9=(+(;8c7)4N726Y67)4;: U

h4\,/. BG9D@A78@(+*2; R( BG4b,=*/<LM > 13(eM(24<BO9/BG4N 9=<>*013( 9/(+@A78*078,/BC<4

?

;-7 4(+R E*:7)H(+R<)*0_ EX<)*

BG4 13<)*0@ <)*:78,/BG4NS@A*0BC<)* _Y4 < RSFC(2M N)(TBO45,=< ,/.( 9=(+@A78*:78,/BC<4D@ */<L13(29/9+UC?

BG9 M(+&)(2FC<)@(2MD[Y6 N)(24(+*07)FOBG9/BG4N

,/.(@A*0BG4 1+BC@FC(29cBO45,=*/<LM > 13(2M [Y6 - 7)FC@<FG7e7)4 MO 7(P/> 4(24 URQ (Q78*0N>(,/. 78, BG, BG9 <)EX,=(24 (27)9=6

7)4 Me@A*07)13,/BG1+7)F,=<(3JL@ */(2909 ,/.(I72&87)BGFG78[FC( _Y4 < RSFC(2M N)(IBG4e,=(+*0H9?<)EPM(24 <BG9/BG4NU

<H( @ */(+&LBC<> 9DR<)*/_L9

#&S')T'1+5

6Y&78*:BG4(24\(+,d7)F UC;% EDDDY;

-7)FC@<FG7 7)4 MUOP7(P/> 4(24 ;9

. 7 &)(

7)1/_L4<lRSFC(2MN)(2M,/. 78,?BG,BG9@<9/9/BC[FC(S,=<BG4b,=(+*/@ */(+,T9=<H( @A78*0,/9<)E#5 7)FCN)<)*0BC,/.AH9T7)9M (24<BG9/BG4 NU"h4

,/. BG9P@A78@(+*2;8R( 9/.< RW,/.A78,-BC,PBO9P7)13,/>A7)FGFC6I@<9/9/BG[AFC( ,=< 13<4 9/,=*0> 13, ,/.( 9=<>*013( 9=(+@78*078,/BC<47)FCN)<)*0BG,/. H9

78*/<> 4AM,/.( M(24<BO9/BG4NDH(+,/.<LM 9 ,/.(2Hd9=(2FC&)(29+U

?'(24<BG90BG4N13<)*/*/(29=@<4 M 9c,=<@ */<L13(2M >*07)F_L4< RSFG(2MN)()UIV?. BG9'M BWV(+*09cE*0<H H<9=, 78@ @ */<7)1:.(29 ,=<

RS.(+*/(I,/. ( 7)FCN)<)*0BC,/.AH9S78*/(aM(+*0BC&)(2M`E*/<H (3JY@FGBG1+BC,T<)[=P=(213,/BC&)( EX> 4A13,/BC<4 9 FC(27)M BO4N,=<QM (21+FG78*07X<

,/BC&)(_L4< RcFC(2MN)()U;Q (Q7)FG9=<eM(+*0BC&)(D,/.(D(3J7)13,I*/(2FG78,/BG<4 [(+,R(+(24 ,/. (<)[=Ph(213,/BG&)(EX> 4A13,/BC<4 7)4 M ,/.(

13<)*/*/(29/@ <4AM BG4NM(24<BG90BG4NUaVS. BG9 H78_)(29IBC, @<9/9/BG[AFC( ,=< HBKJ ,/. (, R< , 6Y@(29 <)EBG4 E<)*0Hd78,/BC<4 7)4 M

7)FG9=<@A*/< &LBGM(29?74 (+R BG4b,=(+*/@ */(+,/78,/BC<4 ,=<d9=<H(I<)E ,/.( (3JBG9=,/BO4NY# 7)FCN)<)*0BG,/. H9+U

'M M BC,/BG<4 7)FGFC6);R('*/(+&YBG(+R 7aH(+,/.<LMd,=<9=@(+(2Md> @ 13<4b&)(+*/N)(24 13(I7)4 M M BG901+> 9/9!,/.( 78@ @AFOBG1+78[ABGFGBG, 6

<)EZ? EX<)*(3JL@AFC<)*078,=<)*/6\9=<>*:13(9/(+@A78*078,/BC<4WRc.(24\4< M(+,/7)BGFC(2MWBG4 E <)*0Hd78,/BC<4 <)E',/.(e9=<>*:13(29BG9

72&87)BGFG78[FC()U

V?. (@A78@(+*aBG9 <)*/N7)4 BG9/(2M 7)9aE<FGFG< RS9*[\ 4

(218U"Y; R(QBG4b,=*/<LM > 13(,/. (d@ *0BO4 1+BC@AFC(29'<)E?M(24 <BG9/BG4N

9=<>*:13( 9=(+@A78*:78,/BC<4ZBG4 7 FGBO4(278*EX*07)H(+R<)*/_]7)4 M]@A*/<Y13(+(2MZ,=< 4 <4 FGBG4(278*M (24<BG9/BG4 NU]h4

(218UNY;

9=<H(a@ *07)13,/BG1+7)FM(24<BG90BG4NDEX>A4 13,/BC<4 9?78*0(aM BG901+> 9/9=(2MU9 4 (218U^; 7d> 9=(+E > F78@ @A*/<2JBGH78,/BC<4`E<)*c,/.(

<)[=P=(213,/BC&)( E> 4 13,/BG<4e<)E_?

BG9?M(+*:BC&)(2M 7)4 M BC,/9?> 9=(29c78*/( M BO9/1+> 9/9=(2M U V?.(I> 9/(I<)E ,/.( 7)FCN)<)*0BG,/. HBG1

EX*07)H(+R<)*/_]BG9M(2H<4 9=,=*078,=(2M BG4

(218UF BG4Z(3JY@(+*0BOH(245,/9RSBC,/.]78*/,/B1$A1+BG7)FS7)4AMW*/(27)FW<$R<)*0FGM M 78,/7LU

2 BG4 7)FGFG6);bBG4

(218U`Y;R( M BG901+> 9/9(3JY,=(24 90BC<4 9,=<K?

EX*07)H(+R<)*/_Q7)4AMd,/.(2BG*T13<4A4(213,/BC<4 9,=<H<LM(2FG9

<)E!4(2>*07)FBO4E<)*:H78,/BC<4 @ */<L13(29/9/BG4 NU

a Rb "ÎÐ=c ÌXcdDÏJÎrÏhÍ#$ Êe /c #!Ì8# /f

<4 90BGM(+*?7FGBG4 (278*?BG4 9=,/7)4b,/7)4(+<> 9?HdBKJLBO4ND<)EP9=<> *013(29*[

gihkj²\mlon3p

(3)

RS.(+*0(

g h

7

U

U

U

p \ h

7

U

U

U

V?.(Q9=<>*013(dHd78,=*0BKJ \ 13<4A9/BG9=,/9 <)E 9=<> *013(29+U 7)10. BG4 M BG&YBGMA> 7)F9/<>*013(

13<4 90BG9=,/9I<)E 9/7)HY<

@AFC(292; ,/. 78,dBO9+;

h!

#"#

%$ U

0

<),=( ,/. 78,dBO4\<)*0M(+*,=< 90BGH@AFGBGE6 ,/.(`4 <),/78,/BC<4

,/.*/<> N.<>,?,/.(a@A78@(+*2; R(a. 7 &)( M (*$A4(2Me(27)1:.^9/<>*013( ,=<Q[( 7*/<lR &)(213,=<)* BG4 9/,=(27)M <)E!,/.( H<)*/(

,=*07)M BG,/BC<4 7)F!13<FG> Hd4 &)(213,=<)*2U VS.(9=6LH [<F

"

<)E,=(24 9=,/7)4 M 9 EX<)* ,/BOH(); [A>, <),/. (+* @<9/9/BC[BGFGBC,/BC(29cBG4=<

1+FG> M ();& '' '; 9=@A7)13()U 2<)* ,/.(d*0(29=,I<)E ,/.(Q@A78@(+*2; R(d*/(+EX(+* ,=< " 7)9 ,/BOH();EX<)*a13<4b&)(24 BC(24A13()U V?.(

<)[A9=(+*0&78,/BC<4A9 g 13<4A9/BG9=, <)E)( HBCJY,/>*0(29<)E ,/.(?9=<> *013(29+;,/. 78,BG9+;

h*+

+

#"#

+

%$

U

, 9/> 7)FGFC6DBC,-BG97)9/9/> H(2M,/. 78,( -. U-V?.(?FGBO4(278* H78@ @BG4N j h*X X

70///

X

$21

13<4 9/BG9/,/9!<)E,/.(

HBKJBG4N &)(213,=<)*09

X

h34

4

7

4

$

1

;7)4AM BG9 > 9/>A7)FGFC6`1+7)FGFG(2M HBKJBG4NH78,=*0BKJUKh4 ,/.(dH<LM(2F;

,/.(+*/(aBG9 9=<H(

4

7)> 9/9/BG7)4e4 <BG9=( n ;,=<b<U

E ,/.( 9=<> *013(29 78*/( 7)9/9/> H(2M 4 7)> 9/9/BG7)4 ;Y,/.ABG9BO97DN)(24 (+*07)F ;FGBG4(278*E7)13,=<)*S7)4 7)FC6L9/BG9TH<LM(2FRSBC,/.

*/<),/78,/BC<4A7)FYBO45&878*0BG7)4 13()U V?.(+*0(78*/( 9=(+&)(+*07)FYRT726L9 ,=<Z$JI,/.(*/<),/78,/BC<4;65

'

&

'

;,=< 9=(+@A78*:78,=( ,/.(<)*:BCNBG4 7)F

9=<>*:13(29+;

\

U <H( 78@ @ */<7)1:.(297)9/9/>AH(Q9=,=*:> 13,/>*/(QE<)*D,/.(HBKJBG4N`Hd78,=*0BKJU E?4<^9/,=*0> 13,/>*/( BG9

7)9/9/>AH(2M;Y,/.( 9=<FG>,/BC<4Q,=<D,/. BG9@ */<)[FC(2H BG9T> 90> 7)FGFC61+7)FGFC(2M [AFOBG4 M9=<> *013( 9=(+@A78*078,/BC<4

U 0 <),=(

,/. 78,',/. BG9c78@ @ */<7)1:. BG9'4<),c*/(27)FGFC6[AFGBO4 M; 9/BG4A13( <4( 7)FCR7 6Y9 4(+(2MA9c9=<H(aBG4EX<)*0H78,/BG<4 ,=< [ (a78[AFC(

,=<;$ JD,/. (S*/<),/78,/BC<4 U% 4(S9/>A10. BG4EX<)*0H78,/BC<4BO9!,/.(c4 <4=<

4

7)> 9/90BG7)4 BC,6 <)E,/. (S9=<>*013(292;bRS.ABG10.QFC(27)M 9

,=<D,/.( */(213(24b,/FC6d@<)@A> FO78*7 H(+,/. <YM 9 #&(')*',+ 6Y&78*:BG4(24 (+, 7)FUC;! 3[ UT%',/. (+*@A*/<)@(+*/,/BC(29H726

BG4 1+FO> M(',/.(2BC*?,=(2H@<)*07)F9/,=*0> 13,/>*/(I7)9cBG4

(2FC<> 1:.*07)4 B(+,S7)F$U

EDD87

;)9BC(2.( 7)4 M @ > FGFC(+*

EDDH

U

h4 ,/. BG9 9=(213,/BC<4 R( BG4b,=*/<LM > 13(^7 N)(24 (+*07)F'E*07)H(+R<)*/_ZE<)*e> 9/BO4N M(24 <BG9/BG4N 7)FCN)<)*0BC,/. Hd9dEX<)*

9=<>*:13(D9/(+@A78*078,/BC<4U;Q (d9/.<lR . < R 9=<>*:13(9=(+@A78*078,/BC<4 7)FCN)<)*:BC,/. H9 1+7)4 [(13<4 9=,=*0> 13,=(2M 78*0<> 4 M

H(+,/.<LM 9 EX<)* */(2H<l&YBG4 N4 <BG9=(DE*0<H ,/. ((29=,/BGH78,=(2M 9/<>*013(29+U\Q (m$ *09=, 7)4 7)FC6L9=(D,/.(9/BG,/> 78,/BC<4 BG4

FGBG4 (278*?M(24<BG9/BO4N 7)4AMe,/.(24 13<4 90BGM(+* ,/.( 4 <4 FGBG4(278* 1+7)9=()U

:<;>=*?

³A@…a>X_CBäa@…Zh³

³#@ED

@ 7)456 7)FGN)<)*0BC,/. H9@A*/(+@ */<L13(29/9,/.( M 78,/7][b6 */(2H<l&YBG4 NW,/.( H(27)4 7)4AM 4<)*0H7)FGBO9/BG4N ,/.(

13< &878*0BG7)4A13(,=<>A4 BC,cHd78,=*0BKJ;E5

'

&

'

; g g 1GF

hIH U V?. BO9cBG9c*/(+EX(+*/*/(2M^,=<e7)9 9=@A.(+*0BO4N;Rc. BC,=(24 BG4 N<)*

M(213<)*/*0(2FG78,/BC<4 7)4 M BC,/9 */(290> FC, BG9',/. 78,I7)456 9/BCN4A7)F <)[ ,/7)BO4(2M [b6 @ */<XP=(213,/BG4N,/.(9=@A. (+*/(2M M 78,/7<4

7)4b6 > 4ABC, &)(213,=<)*. 7)9/6+(+*/< H(27)47)4AM> 4 BC, &878*0BG7)4 13()U_2 >*0,/.(+*0H<)*/();5<)*/,/.<)N)<4 7)FA@ */<XP=(213,/BC<4 9!6LBC(2FGM

> 4 13<)*0*/(2FG78,=(2M^9/BCN4 7)FG92Uc%'E,=(24^9=@A. (+*0BG4NdBO9S13<Ha[ABG4(2M RSBC,/.`*/(2M > 1+BG4 N,/.(aMABGH(24 9/BG<4e<)E-,/.( M 78,/7

[Y6d9=(2FC(213,/BG4 N 7a@ *0BG4A1+BC@A7)F 9/> [A9=@A7)13(cRS. BG1:.Q13<4b,/7)BG4 9TH<9=,<)E ,/.('(24(+*/N)6Q<)E ,/.('<)*0BCNBG4A7)FAM 78,/7LU/h4

;L,/.( H<),/BG&78,/BC<4 EX<)* 9=@A.(+*0BO4NaBG9,/. 78,TRSBG,/. 78, H<9/,T7)9 Hd7)456 9=<>*013(29 7)9T<)[A9/(+*/&78,/BG<4 9+;L,/.(

<)*0BCNBO4 7)FBG4 M(+@(24 M (245, 9/BCN4A7)FG9?1+7)4 [(I*0(213< &)(+*/(2M^[Y67)4`<)*/,/.<)N)<4 7)F */<),/78,/BC<4KJ <)E ,/.( 9=@.(+*/(2M

9/BCN4A7)FG9+;8@ */<l&YBGM (2M ,/. 78, ,/.( 4<BO9=( n BG9 4(+NFGBCNBG[AFC()U E ,/.(+*/(TBG9 9/>[9=,/7)45,/BO7)Fb4<BO9=(@A*/(29=(24b,+;5> 4b[ABG7)9=(2M

(29=,/BGHd78,=(aEX<)*

\

Hd726`4<),c[(a7)10.ABC(+&)(2M^[b6 7)4 <)*/,/.<)N)<4 7)FGJ UL &)(24 BO4 ,/.(29=(D1+7)9=(29+;<)*/,/. <)N)<4 7)F

J >A9/> 7)FGFC6Q<V (+*:9'7dN)<b<LM^78@ @ */< JLBGHd78,/BC<4U2<)* ,/.( */(29=,c<)E!,/.( @A78@(+*2;,/.(DM 78,/7 g BO9c7)9/90> H(2M

,=<[(I9=@A. (+*0BG1+7)F <)*c9=@.(+*/(2Me7)4 MeR(IH7)BG4AFC6Q13<4 90BGM(+* <)*/,/.<)N)<4A7)F */<),/78,/BC<4A9MJ U

N (+, > 9e13<4 9/BGM (+*e,/.( (TV (213,`<)E H<LM BCEX6LBG4N ,/. ( 9=@A.(+*/(2M MA78,/7\[b6 7WFGBG4(278*<)@(+*078,/BC<4 ;cEX<)*

BG4 9/,/7)4 13([Y6 FC< R5<$@7)9/9 $AFG,=(+*0BG4Ne,/.(Q9=@A.(+*/(2M 9/BCN4 7)FG92U h4 N)(24(+*:7)F;PFG< R5<$@A7)909 $AFC,=(+*:BG4N M(213*/(27)9/(29

,/.(e(24(+*0N)6 <)E ,/.( 9/BGN4 7)FG9D7)4 MW,/.(e*0(2H7)BG4 BG4 N (24(+*0N)6 M(+@(24 MA9a<4],/.(2BC*EX*/(POb> (24 136 13<4b,=(24b,+U

(4)

2 BCN>*/(m [& 5

'

& & & 5

&

&

)

65 &

&

A5! &#"$% && P&

&

A5

&

' &( &) 5

&

%&* '+

&

5

&

&-,5.5 &)/ '10_)

%&2 & 53 5

'

,45#&#15<&)/

+

&(6 5

&

&

&4 &678 &9 5 &

&

A5:

)

&; &

&

A5

+

<. &= 5

'

>? 5

'

@2

)

5 %& &A

&

' & 5 &A5B&* '+DCE 0;'F

&%AGH 5 ;I( &D 5 &

&

A5J

)

&KB&AL 5

&

5M

& N<&'

RSBC,/.^> 4 BG,S&878*0BG7)4 13(7)4 M;H<)*0(DBOH@<)*/,/7)45,/FG6); 4<), 7)FGFP@ *0<XPh(213,/BC<4A9c*0(29/> FC, BG4 ,/.(9/7)H(D&78*:BG7)4 13()U

cE ,=(+*DFC< R<$@A7)9/9\$AFC,=(+*0BG4 N;BC, BO9I,/.(+*/(+EX<)*/(Q@ <909/BC[AFC(D,=< BGM(24b,/BCEX6 ,/.( 9/BCN4 7)FO9I. 72&LBG4N^. BCN.(+* ,/. 7)4

72&)(+*:78N)(a@ *0<)@ <)*0,/BC<4<)EPFG< R EX*/(POY>(24 1+BC(29 [Y6 @ *0BG4 1+BG@A7)F13<H@ <4 (245,S7)4A7)FC6Y90BG9 O3 U

E'90BCN4 7)FG9D<)E BG4b,=(+*/(29=,d78*0(`10. 78*:7)13,=(+*0BG9=(2M 7)9d. 7 &YBG4 N FC< R5<$EX*/(POY>(24 136W13<H@<4(24b,/9+;TFC< R5<$@7)9/9

$AFC,=(+*:BG4Nd1+7)4 [( */(+N78*0M (2M 7)9'M(24<BG90BG4NU5 ,cBG9c,/.b>A9?@<9/9/BC[FC( ,=< BOM(245,/BGE6,/.(aE<FGFG< RSBG4 Nd9=,=(+@A9'BG4

,/.( 78[<l&)( 9/BCN4 7)F9/(+@A78*078,/BC<4 [9=@A.(+*0BO4N;YM (24<BG9/BG4 ND7)4AM O3aU V?.(29/(I78*/( BGFGFO> 9=,=*078,=(2MBG4 2 BCNU 8U

2<)*4< R R(c13<4 9/BGM(+*-FOBG4(278*-M(24<BO9/BG4NUPV?. BG9!H(27)4A9!,/. 78, M(24 <BG9/BG4N 1+7)4d[ ( H78,/. (2H78,/BG1+7)FGFC6

(3JL@ */(29/9=(2M 7)9eH78,=*:BKJ H > FC,/BC@AFOBG1+78,/BC<4U V?.(24 EX<)*M (24<BG9/BG4 N H78,=*0BCJPO ,/.( M(24<BG9=(2M M 78,/7PQ

[(213<H(29*[

Q

hkg

O

N

0 <),=(W,/. 78,1O <)@(+*078,=(29 <4 (27)1:. 9/BCN4A7)F

9=(+@A78*078,=(2FG6); 5

'

&

'

; M(24 <BG9/BG4N BG9 M(*$A4(2M EX<)* <4(T<

M BGH(24 9/BC<4 7)F 9/BGN4 7)FG9+UK2 >*0,/.(+*0H<)*/();,/.(dM(24 <BG9/BG4NeBG9 @(+*/EX<)*0H(2M <l&)(+*a,/BOH(); 5

'

&

'

;RO BG9 TSK

< H78,=*0BCJ U

V?. (%$ *:9=,@A*0BG4 1+BC@7)F 13<H@<4(24b,<)E,/.('M (24<BG9=(2M M 78,/7?Q ;L1+7)4[('13<H@A>,=(2M[Y6,/.(

&

U6# 5

&

G &NC& V

9/(+( 7)456(2FC(2H(245,/78*/6eH78,=*:BKJ ,=(3JL,=[<b<)_

[

W=X

h

QYQ

1

W

^

W

2IZ

h

W

X

[U[

W

X

[U[

p

F

RS.(+*0(

W

Z

; 7 13<FO> H4W&)(213,=<)*2;cH(27)4 9Q,/.(`4(+R (29=,/BGH78,=( <)E ,/.( @ *0BO4 1+BC@A7)FTM BC*0(213,/BC<4U V?. BG9

@< R(+*H(+,/.<LM $A4 M 9a,/.(H7JLBOHa> H (2BCN)(24b&)(213,=<)* <)Ec,/.(e13< &878*0BG7)4 13( H78,=*:BKJ <)E?,/.(eM(24 <BG9=(2M

M 78,/7LU VS.b> 9SBC,/9T<)[=P=(213,/BC&)( E> 4 13,/BC<4eBO9

\

W

h

W

1

QYQ

1

W

p

`

(5)

9/>[!Ph(213,Q,=< ,/.(^13<4 9=,=*07)BG4b,

W

1

W

h

8U

0

<),=(^,/. 78,

\

W

BO9d7 901+7)FG78*QE > 4 13,/BG<4]<)EI7 &)(213,=<)*

78*/N> H(245,+U

N (+,S> 9?4<lR 9/>[9=,/BC,/>,=( ,/.( M (24<BG9/BG4 N

N

BG4b,=<,/.(I@< R(+*SH(+,/.<LM

^

[

W X

h QYQ

1

W

1

h g O(O

1

g

1

W

7

2 >*0,/.(+*2; FC(+,S>A9 M(24<),=(

O h O(O

1

H

V?.(24,/. ( 1+FG7)9/9/BO1+7)F@ <lR(+*'H(+,/.<LM 78@ @AFOBC(2M ,=<m$AFC,=(+*/(2MeMA78,/71+7)4 [( */(+EX<)*0H > FG78,=(2M 7)9 EX<FGFC<lRS9*[

h

W

1

g

D

X

h

O *

W X h g

X

1

W

2IZ

h

W

X

[U[

W

X

[U[

p

E

RS.(+*0(

BG9 > 9=(2M ,=< M(24 <),=( ,/. ( 1+>*0*/(245,D(29=,/BOH78,=(<)ES,/.(e9/BCN4A7)F13<)*/*0(29=@<4 M BG4N ,=< ,/.((2BCN)(24=<

&)(213,=<)* (29=,/BOH78,=(

W

U 2 */<H 4< R <4 ;SR( 90. 7)FGFc*/(+E (+*e,=<\,/. BO9 90BCN4 7)F 7)9e9=<>*013()U @`78,/.(2Hd78,/BW<

1+7)FGFC6); 7)FGN)<)*0BC,/. H

D

E

BG9T(POY> BC&87)FC(24b, ,=<,/.( 1+FG7)909/BG1+7)F@< R(+*cH(+,/. <YMe78@ @FGBC(2M ,=<,/.( $FC,=(+*/(2M

M 78,/7 N

F U h4`,/.(D1+FG7)9/90BG1+7)F &)(+*:9/BC<4; ,/.(DM(24<BG9/BO4N O R7)9 78@ @AFOBC(2M ,=< ,/.( RS.<FC( M 78,/7L;[A>,

BG4 OU

*

,/.(QM(24 <BG9/BG4N7O BG9I78@ @FGBC(2M ,=<^,/.(Q1+> */*/(24b,a9=<>*:13(d(29=,/BGHd78,=(

;!BG4 9/,=(27)MU OY> 7X<

,/BC<4 9

7)4 M

E

13<H@A> ,=(,/.(R(2BGN.5, &)(213,=<)*aRS. BG1:. 6YBC(2FOM 9 7e4(+R 9=<>*013(DRS.ABG10. BG9 1+FC<9/(29=,

,=<D,/.( M(24<BG9/(2M

X

BG4Q,/.( FC(27)9=, < H(27)4=<9 Ob> 78*0(29

N

@ 9=(24 9=()U_Q (I1+7)FGF OY9+U D

E ,/.(%5<&*

7

'

5 N UV?.(?13<)*/*/(29/@ <4AM BG4N <)[=P=(213,/BC&)(?E> 4 13,/BC<4 ;59=,/78*/,/BG4 N E*/<H OU

`

;51+7)4d[ ( RS*0BC,=,=(24

7)9

\

h

W

1

QYQ

1

W

h

O

1

p

EN

h4 <)*0M(+* ,=< 9=,/>AM6`E>*/,/.(+* ,/.(*0(2FG78,/BC<4 [(+,R(+(241O 7)4 M.O ; FC(+, > 9 4 < R 7)9/90> H(D,/. 78, O

BG9DNBC&)(24W7)4AM\,=*/6 ,=<>$4 MW7 13<)*/*/(29=@<4 MABG4N O ,/.A78,9/78,/BG9#$ (29C OU H U BG4 13((O(O

1

BG9D7)FCRT726L9

9=6LHH(+,=*0BO18;57I4(213(29/9078*/613<4 M BC,/BC<4DEX<)*-,/.(S(3JLBG9/,=(24 13(?<)E7I13<)*/*/(29/@ <4AM BG4N O BG9!9=6LHH(+,=*06a<)EvO U

h4 ,/. BG9 1+7)9=(BC, H(27)4 9 9=6YHdH(+,=*/6 BO4 ,/BOH(9/BG4 13(DO BG9 7 TS H78,=*:BKJ U

6LHH(+,=*0BO1aH78,=*:BG13(29

. 7 &)(a7)4e(2BCN)(24b&87)FG>(IM(213<H@<9/BG,/BC<4

O h ´ ´

1

p

T^

RS.(+*0( BG9!M BG78N)<4A7)F7)4 M ´ BG9P<)*/,/.<4<)*:H7)F

7

U

BG4 13(>O h ´

7

9/78,/BG9$ (29 OU

H

;59=6LHH(+,=*/6

<)ExO BG9'[<),/. 74(213(29/9/78*/6^7)4 M 9/>!Jd1+BG(245, 13<4 M BG,/BC<4`EX<)* ,/.(D(3JBG9=,=(24 13(D<)E7e13<)*0*/(29=@<4 M BG4 N?O U

OP< R(+*cH(+,/. <YM 78@A@AFGBC(2M ,=<,/.( M (24<BG9=(2MeM 78,/7=Q]7)FCRT726L9S13<4b&)(+*/N)(29

7)9/9/> HdBG4ND,/. 78, ,/.( FO78*/N)(29=,

(2BCN)(24b&7)FO>(cBG94<),TM(+N)(24(+*078,=(

U VS.(c78[< &)( 7)4 7)FG6Y9/BO9-9/.<lRS9 ,/.A78,,/.( 9/7)H('.<FGM 9 E<)*TFGBG4 (278*7?

@ */<l&YBOM(2M,/. 78,SM(24 <BG9/BG4NDBG9?9/6YHH(+,=*0BG1 BG4,/BGH()U

V?. ((2BGN)(245&87)FG>( M(213<H@<9/BG,/BC<4 T^ 9/.<lRS9 ,/. 78,!7)456DM(24<BO9/BG4N'BG4DFGBG4(278*_? 1+7)4[( BGH@AFC(T<

H(24b,=(2M7)97)4Q<)*/,/.<4 <)*0H7)F*/<),/78,/BC<4 E<FOFC< R(2Md[Y67a@ <BO45, <$RSBO9=(S7)MXP/> 9=,/H(24b,<)E,/.('907)H@AFC(297)4 M

*/<),/78,/BC<4,=<,/. ( <)*0BCNBG4 7)F 9=@A7)13()U7 N)<Y<YM(3J7)H@AFC( <)E,/. BG9TBG9@ */(29=(24b,=(2M[Y6QFGBG4 (278*,/BOH(T<BG4b&78*0BO7)45,

(6)

N

V5 $AFC,=(+*0BO4NU/h4 9/> 1:.`M(24<BO9/BG4N;

´

13<)*/*0(29=@<4 M 9 EX<)*S(3J7)H@AFC( ,=<Q,/.(;2<> *0BC(+*?,=*07)4A9=E<)*:H <)*

M BG9013*/(+,=(c13<9/BO4(c,=*:7)4 9=EX<)*0H ? TV UMcE,=(+*T,/.(',=*07)4 9/E<)*0H ;5,/.( 9/BCN4 7)FBG97$AFC,=(+*/(2M > 9/BG4 NI,/.( M BG78N)<<

4 7)F Hd78,=*0BKJ ; 5

'

&

'

;[b6e7@<BG4b, <$RSBG9=( 7)MXP/> 9=,/H(245,?<)E ,/.( E*/(POY>(24 136 [ABG4A9+U/2 BG4 7)FGFC6d,/.( 9/BCN4A7)F BG9

BG4b&)(+*09=(',=*07)4 9=EX<)*0H(2M > 9/BO4N ´

1

U_h4d,/.( 1+7)9=( <)E N V5I<$AFC,=(+*0BO4N;,/.( M(24<BG90BG4N 1:. 78*07)13,=(+*0BG9/,/BG1+9 78*/(

H7)4 BGE(29=,=(2M^<4 FG6 BG4^,/.(M BG78N)<4A7)F!H78,=*0BKJ;RS. BGFG( ,/.(,=*07)4A9=E<)*:HBG4N H78,=*0BKJ

´

@ <)*0,=*0726L9 713<4=<

9=,/7)4b,S*/<),/78,/BG<4U5Q . (24 ,/. BG9SBG9?,/.(a1+7)9=();,/.( 7)FCN)<)*0BG,/. H 1+7)4`[ ( EX>*0,/.(+*S9/BGH@AFGB,$ (2M [Y6eBGH@<9/BG4N

,/.(Q,=*07)4 9=EX<)*0H78,/BC<4 <4 ,/.(Q9=@.(+*/(2M MA78,/7L; g U VS.(24 ,/. (QBC,=(+*078,/BG<4 1+7)4 [(@(+*/E<)*:H(2M BG4 ,/.(

,=*07)4 9/E<)*0H(2Me[A7)9/BG92U VS. BG9T,=*0BG10_ .A7)9 [(+(24e(3JY@FC<BC,=(2MeBG4,/.(;$ *09=, (3JL@(+*0BGH(24b,T<)E

(218UFYUYU

Q .(24 ,/.( RS.<FC( M 78,/7DBG9TM(24<BO9=(2Md[Y6 O 7)4 M @< R(+*?H(+,/.<LMBG9>A9=(2M;BC,TM<b(29T4<), H78,=,=(+*?BGE

,/.( BG45&)(+*:9=(a,=*:7)4 9=EX<)*0H78,/BC<4 BG9c78@A@AFGBC(2MUh4 E 7)13,+;7)456 <)*0,/.<4<)*0H7)F*/<),/78,/BC<4 1+7)4`[(a78@A@AFGBC(2M

,=< ,/.(MA78,/7eRSBC,/.<> , 1:. 7)4NBG4 Ne,/.(13< &878*0BG7)4 13()UQV?. BG9 H(27)4 9I,/. 78, O 13<)*/*/(29/@ <4AM BG4N ,=<7O BG9

4<), > 4 BOY>(I7)4 M^7)FGF <)*/,/.<4<)*0Hd7)F */<),/78,/BC<4A9c<)E&O 9/78,/BG9/E6

O T

O %1

h O

1C

O

1

h O ;

,=<Y<U/E BG9 1:.<9=(24`,=<d[( ,/.( BG4b&)(+*09=( ,=*07)4A9=E<)*:H ´

1

; ,/.(IM(24 <BG9/BG4NDO BG9

O h ´

7

´

1

h ´þ´

1

p

EF

RS.(+*0(d,/.( M BG78N)<4 7)FH78,=*0BKJ . 7)9a[(+(24 M (24<),=(2M [Y6 h

7

U 0 <),=(,/. 78,D7`M(24<BO9/BG4N9O BG9

> 9/>A7)FGFC6 H(27)4 BO4N)EX>AF-<4 FC6 BCE

BO9a*0(27)F 7)4 M @ <90BC,/BC&)()U V?. ( M(24 <BG9/BG4N O >A9=(2MWBG4 FGBG4(278*K?

9/.<>AFGM ,/.(+*/(+EX<)*/(I[( @<9/BC,/BC&)( M(*$A4ABC,=(IBG4e7)M M BG,/BC<4 ,=<[(2BG4N9=6LHH(+,=*0BG18U

h4d9=<H(S@ *07)13,/BO1+7)FA1+7)9=(29,/.(cMABG78N)<4 7)F (2FG(2H(245,/9 <)E . 72&)(c[ABG4 78*06a&87)FG>(29 RS. BG1:.H(27)4 9 ,/. 78,

O

h

O(O

1

h

O 7)4 Me,/.(IM (24<BG9/BG4 N9 > 9=(2M BG4,/. (IM BWV(+*/(245,?78@A@ */<7)10. (29S78*/(I(3J7)13,/FC6e,/.(I907)H()U

!J7)H@AFG(29T<)E 90> 10. M (24<BG9/BG4 N978*0(I@ */(29=(24b,=(2M BG4

(218U NYU

:<;: Z @äc³A@kaX`_ @kZ[³

a _ba B ³Z @

h4 N)(24(+*07)F ;8M(24<BO9/BG4N BG9 4 <), */(29=,=*0BO13,=(2M ,=<SFGBG4 (278* <)@(+*078,/BC<4 9+U"@ (2M BO7)4 $AFC,=(+*:BG4N BG97?1+FC(278*(3JL7)H@AFC(

<)E4<4 FGBO4(278* M(24<BG90BG4NTRS. BG1:.I1+7)4 4<),[(-BGH@AFC(2H(245,=(2MI7)9H(+*/( Hd78,=*0BKJ Ha> FG,/BC@AFGBG1+78,/BG<4Uc4 <),/.(+*

(3J7)H@AFC(Q<)ET4 <4 FGBG4(278*aM(24<BG9/BO4N BG9I(24A13<> 45,=(+*0(2M RS. (24 ,/.( M(24<BG9/BO4N BG9I,/>A4(2M 7)M 78@A,/BC&)(2FC6 ,=<

BGH@A*/< &LBG4N (29=,/BOH78,=(29 <)E,/. (S9=<>*013('10. 78*:7)13,=(+*0BG9=,/BG1+97)9,/.(cBC,=(+*:78,/BC<4@ *0<)N)*/(29/9=(29+U/ N)<Y<YMQ*/(+&LBC(+R

<4 4<4AFGBG4(278*5$AFG,=(+*0BG4NDBG9 NBC&)(24 [b6 GI><9/Hd7)4(24 7)4 M '9=,=<FG7

EDD87

U

% 4 (S13<HH<4QR7 6,=<aM(+&)(2FG<)@ 4<4AFGBG4(278*-7)FCN)<)*:BC,/. H9+;b9/> 10.Q7)99a;EX*/<H FGBO4(278* 7)FCN)<)*0BG,/. H9+;

9/> 1:. 7)9AO3a;BG9 ,=<*/(+@AFG7)13(,/. (0OY> 7)M*:78,/BG1D13*0BC,=(+*0BC<4

`

[Y6 713*0BC,=(+*:BC<4^RS. BG1:.^13<4b,/7)BG4 9I<),/.(+*

,/. 7)4 9=(213<4 M!<$<)*0M(+*IH<H(24b,/9+U

< R(+&)(+*2;R(78*/N>(D,/. 78,IBG,'BG9'<)EX,=(24 (27)9/BC(+* 7)4 M H<)*/(D@ *:7)13,/BG1+7)F

,=<d9/BOH@AFC6*0(+@AFG7)13( OU

*

[b674<4 FOBG4(278* M(24<BG90BG4ND9=,=(+@

X h

E`

V?.(DE > 4 13,/BC<4

M(24<),=(29I,/.(D*/(29/> FC, <)ETM(24<BG90BG4N;5

'

&

'

;[<),/.

7)4 M

78*/(*/<lR &)(213,=<)*09I<)E

,/.(S907)H(cFC(24 N),/.UC 4,/. (cFGBG4 (278*-1+7)9=(

h

O ;Y[A>,-BO4N)(24(+*07)F;Y7)FGH<9=,7)456D,6b@(?<)E M(24 <BG9/BG4N

@ */<L13(2M >*0('1+7)4[( 78@ @AFGBC(2M U"Q .(24H<)*/( ,/.A7)4Q<4 (I9=<>*013( BG9(29=,/BGHd78,=(2M; BC,TH726 [('M(290BC*078[AFC(c,=<

> 9=(S,/.(cBG4 E<)*0Hd78,/BC<4BG47)FOFA9=<>*:13(29 \ EX<)*M(24<BO9/BG4NI7)4b6@A78*/,/BG1+>AFG78* 9=<>*:13(

U-V?. BG9!FG(27)M 9-,=< ,/.(

EX<FGFC< RcBG4NM(24<BG90BG4N EX> 4A13,/BC<4 [

X

h

\

U

?'(24<BG90BG4NWBG9> 9=(+E> F 7)9e9/> 1:. 7)4 M ,/.(+*/(+EX<)*/( ,/.(+*/( BG9e7\RcBGM( FGBC,=(+*078,/>*0( <)ED9=<)@A. BO9=,/BG1+78,=(2M

M(24<BO9/BG4N H(+,/.<LM 9 ,=<a10. <b<9=(cE*0<H #&S')T'1+

c4AM(+*09=<47)4AM @`<b<)*/(); ED87D

U7@`<)*/(+< &)(+*2;<4 (S> 9/> 7)FOFC6

h^cp#oIaoI`d*oYoI`6aagikAalVmdzij6athanpb>spArgoIgipAl]KnplVo d#gil6r>qIa dz qIpo d*oIgipAl6regil6roIadAt=pwnpAb>suzia)f ujuo6pjuqIgia)q

oq dlurp#qIb-girjurjd#zMz&raa)lYdrdLnpAb>suzia)fwoqdlpqIbed*oIgipAl ^!_ p! a)as oI`ua<oI`6a)pq&rgib>s6zia "$a$n)pAl6rgMtha)q!qIa dz#6pjuqIgia)q

(7)

. 7)99=<H(?_L4< RcFC(2MN)(S78[<>,-,/. (S9/BCN4 7)FO9 <)EBO45,=(+*/(29/,7)4 M,/.Y> 9!@<9/9/(29/9=(29-,/. (SBG4EX<)*0H78,/BC<44 (+(2M(2M

EX<)* M (24<BG9/BG4 NU4 E 7)13,+; Ob> BG,=( <)EX,=(24 ,/. ( 9/BGN4 7)FG9c(3JY,=*07)13,=(2M [Y6 ,=(210. 4ABOb> (29SR<> FGM [( @<9=, <

@ */<L13(29/9=(2M ,=< */(2M > 13( 4 <BG9=(aBO4`7)4b6 1+7)9=(

#&S')T'1+

-BCN4 (+*/<4`(+, 7)FUC;:N

U%h4`,/. (\?

E*07)H(+R<)*/_ ;

,/.(`7 &7)BOFG78[AFC(eM(24<BO9/BG4N H(+,/.<LM 91+7)4Z[ ( MABC*/(213,/FC6 78@ @AFGBC(2M ,=< 9/<>*013( 9=(+@A78*:78,/BC<4;@ */<LM > 1+BG4N

[(+,=,=(+**/(29/> FG,/9a,/.A7)4\@A>*/(2FC6 [FGBG4 M ,=(210. 4ABOb> (29+U V?.(+*0(78*0( 7)FG9=< &)(+*/6 N)(24 (+*07)F 4<BG9=(*/(2MA> 13,/BC<4

,=(210.A4 BOY>(2990> 10. 7)9R7 &)(2FC(+, M(24<BG9/BO4N

?'<4<.< (+, 7)F UC; EDDFY;

-(+,=,=(+*0FOB7)4 MRG <l&7)13(+&LBG18; EDDF

<)*

H(2M BO7)4B$FC,=(+*0BG4N

GI><9/Hd7)4(24 7)4 M c9=,=<FO7L;C EDD87

RS. BG1:.^1+7)4 [(D78@ @AFGBG(2M`BG4^(3JL@AFC<)*078,=<)*/6 M 78,/7

7)4 7)FC6L9/BG92U`V?.(R?

EX*07)H(+R<)*/_ ,/.Y> 9a90>N)N)(29=,/94(+R 7)FCN)<)*0BC,/.AH9I*07)4 NBG4N`EX*/<H

,=< . BCN.AFC6

9=@(21+BG7)FGBO9=(2M78@ @AFGBG1+78,/BG<4 9+U

V?. ( <5 &# P

'

5 N;

D ; E` ; ; E

1+7)4\[ (BGH@FC(2H(24b,=(2M RcBC,/.<>,D7)456

*/(+EX(+*/(24 13(e,=< 7)4\<)@A,/BGHBG9/78,/BG<4 13*:BC,=(+*0BC<4

\ W U

<lR(+&)(+* ;,=<RP/> 9=,/BGE6 ,/. ( 7)FCN)<)*0BC,/. H ; R( 9/. 7)FGF

4(3JL,S(29=,/78[FGBG9/.,/.(a*/(2FG78,/BC<4`[(+, R(+(24`,/.(aM(24<BG9/BO4NEX>A4 13,/BC<4

;7)4 M`,/.( <)[!Ph(213,/BC&)(aEX>A4 13,/BC<4

\

W

,/. 78,SBO9 BGH@AFGBO1+BC,/FC6<)@ ,/BGHdBG9=(2MU!V?.( EX<FGFC<lRSBG4N N 78N)*:7)4N)( (POY> 78,/BC<4 . <FGM 9 78,?,/.( <)@A,/BGHa>AH [

\ 1 W %$

h p

7 RS.(+*0( \ h \ W 1 g

M(24<),=(29',/.( <)@ ,/BGHBO9/78,/BC<4^13*0BC,=(+*0BC<4^7)9 7dE> 4 13,/BG<4`<)E-,/. (D9/<>*013( (29=,/BW<

H78,=(

UaV?.( */< R &)(213,=<)*09

7)4 M M(24<),=(D,/.( N 78N)*07)4N)(H > FC,/BC@AFOBC(+*09?7)4 M^,/.(13<)*/*0(29=@<4 M BG4N

13<4 9=,=*:7)BG45,/9'> 4 M (+*SRS. BO10. ,/. (a<)@ ,/BOHBG9/78,/BC<4 BG9?@(+*/EX<)*0H(2M ;A*/(29=@(213,/BC&)(2FG6)U h4 ,/. BG9'1+7)9=();,/.( 13<4=<

9=,=*07)BO45,?BG9?,/. 78,

W

.A7)9?7> 4 BG,T4 <)*0He;<5

' & ' ; W h W 1 W

h L;A7)4 M BC, ,/.Y> 9 EX<FGFC<lRS9

g \ 1 W h EH

V?. BO9T*/(29/> FC,/9 BO4,/.( E<FOFC< RSBO4NY$JY(2M @ <BO45,*[

W h g \ 1 [U[ g \ 1 [U[ ED

V?. BO99/. <> FGM 13<BG4 1+BGM( RSBG,/.d,/.(A$ JY(2M @<BG4b,<)EP,/.( 4<4 FGBO4(278*3?

@ *0(29=(245,=(2M[Y6 Ob92U

D ; E` ; ; E [ W h g 17 [U[

g 1

[U[

% 4( @<9/9/BG[AFC(S9=<FO>,/BC<4BG9<)[b&LBC<> 90FC6

h \

[>,+;H<)*/( N)(24(+*07)FGFG6);Y,/. ('*0(2FG78,/BC<4 [(+,R(+(24

M(24<BO9/BG4N;

; 7)4AMe,/.( <)@ ,/BGHdBG9/78,/BC<4e13*0BG,=(+*0BC<4;

\ ;BG9 h \ l p = RS.(+*0( 7)4 M

78*/(9/1+7)FG78*D&7)FO>(2M E> 4 13,/BG<4 9+U`V?. ( 9/1+7)FO78*

M BG9078@ @(278*09 BG4 ,/.(4<)*#<

H7)FGBO9/78,/BC<4^<)E OU

Um2 >*/,/. (+*0H<)*/(); ,/. (K$JY(2M @<BG4b, <)E3?

BG9 4<),I7)FC,=(+*/(2M [b6 7)M M BC,/BG<4 <)E

7)4b6 H > FC,/BC@FC(c<)E

W

,=<,/. ( *0BCN.b,?9/BGM('<)E OU U BG4A13(cEX<)*S9=@A. (+*/(2MeM 78,/7BC,?7)FCRT726L9?.<FOM 9,/. 78,

W g 1 ; ,/.(I,=(+*0H

BG4 OU

=

M<Y(29?4<),c10. 7)4N)( ,/.( $JL(2Me@<BG4b,

(2BC,/.(+*2U (2FG(213,/BG4N h

6YBG(2FGM 9 7)4 BG4b,/> BC,/BG&)(BG45,=(+*0@ */(+,/78,/BC<4 EX<)* ,/. (*/(2FG78,/BC<4 [ (+,R(+(24

7)4 M \

[-M(24 <BG9/BG4N [Y6 H<LM B,$ (29 ,/.(c9/<>*013('(29=,/BGH78,=(

BG4,/.( M BC*0(213,/BC<4RS. (+*/(S,/.('<)@ ,/BGHdBG9/78,/BC<4

13*0BC,=(+*:BC<4

\

N)*0< RS9'H7JBGH7)FGFC6)U9 4eN)(24 (+*07)F;

\

1+7)4`[(I9=(+(24 7)9c7d9/BCN4 7)FW<$,=<<4 <BG9=(I*078,/BG<

0 8

RS.(+*0(I9/BCN4 7)F7)4 M`4<BG9=(I78*/(IM (*$A4(2MeBGH@FGBG1+BC,/FC6[Y6 ,/.( M(24<BO9/BG4N EX>A4 13,/BC<4

U '478*/[ABC,=*078*06EX>A4 13,/BC<4

M<Y(29 4<), 4(213(29/9/78*:BGFC6. 7 &)(I7 13<)*0*/(29=@<4 M BG4 N <)[=P=(213,/BC&)( EX>A4 13,/BC<4

\

RS. BG1:.R<> FGMd9078,/BG9=EX60 OAU

= U_?'(+*0BC&878,/BC<4<)E E*/<H \

&YBG7 OU

=

(8)

7DM(24<BG90BG4NIRSBG,/.QRc. BG10.R? 13<45&)(+*0N)(29?7)9 FC<4ND7)9T,/.( 9=,=(+@ 9/B,6+( BG9_)(+@ , BG4 13<45,=*/<F[Y6d9/>ABC,/78[AFC(

10. <BG13(29S<)E

7)4 M

U%T<45&)(+*09/(2FC6);BCE

FC(27)M 9S,=< ? Rc. BG10.`M<b(29c4<),S13<4b&)(+*/N)(DE <)*'7)456

10. <BG13( <)E

7)4AM

; ,/.(+*/( 1+7)4A4<),S[(

\

9/78,/BG9=EX6YBO4N OU

=

U3h4e@ *07)13,/BG13(); .< R(+&)(+*2;7)9

FC<4Na7)9

BG9 7I*/(27)9=<4A78[AFC(SM(24 <BG9/BG4N E> 4 13,/BG<4;(27)10. BC,=(+*078,/BG<4d9=,=(+@BGH@ *0< &)(29 9/<H(S@A78*0,/BG1+> FG78*

E > 4 13,/BC<4

\

RS.ABG10.D1+7)4D[( BG45,=(+*0@ */(+,=(2MD7)9-7 H(27)9/>*0( <)E

0

8

:

U <4 9=(POY>(24b,/FC6); ? BC,=(+*:78,/BC<4 9

> 9/BO4N ,/.(?M(24<BG90BG4N

13<4b&)(+*/N)(c(+&)(24dBCE BC,-H726 [(?M B,Jd1+>AFC,,=< R?*0BC,=( M<lRS4,/.(?13<)*/*0(29=@<4 M BG4N

\

U

% 4 ( FO7)9=,e@<BG45,1+7)4 [( H7)M( [(+E<)*0( R( @ *0<Y13(+(2M EX*/<H ,/.( [A7)90BG1 ?

,=< 9=<H( > 9=(+E> F

(3JL,=(24 9/BC<4 92U N (+,I>A9 7)9/9/> H(D,/. 78, ,/. (4<4 FGBG4 (278*'M(24 <BG9/BG4N

E`

<)@(+*078,=(29I@ <BO45, <$RSBO9=();5

'

&

'

;,/.(

M(24<BO9=(2Me9/BCN4 7)F78,?,/BOH(

"

M(+@(24 MA9<4AFC6d<4,/.( <)*:BCNBG4 7)F9/BCN4A7)F78, ,/BGH(

"

U-V?.(24,/.(I4<4AFGBG4(278*

?

7)FCN)<)*0BG,/. H BG97)13,/> 7)FOFC6 (POY> BC&87)FC(24b,,=< ,/.( 4<4 FOBG4(278*KO3

GI78*0.Y> 4(24W7)4 M)<>,/9=(24A9/7)FC<;

EDDX^

U3 4N)(24(+*:7)F;A.<lR(+&)(+*2; ?

BG9 4<),S*/(29=,=*0BG13,=(2M ,=<,/BGH(IBG4AM(+@(24 M(24b,M(24 <BG9/BG4NU

:<;

O aäX b³Z @

V?.(c1+FG7)9/9/BG1+7)FA@< R(+*H(+,/. <YMQ. 7)9-,R<D13<HH<4Q(3JY,=(24A9/BC<4 9*[ M(A78,/BG<4d7)4 MQ9=@(213,=*07)FA9/.ABCE,+U V?.(+6

78*/(?*0(27)M BGFC6 72&87)BGFG78[AFC( EX<)* ,/. (?FGBG4(278*9? 9/BG4 13(?BC,-BO9!(POb>ABC&7)FG(245,!,=<I,/. (?@< R(+*H(+,/.<LM78@ @FGBC(2M ,=<

$AFC,=(+*0(2MM 78,/7 &LBG7 OU

H

UCQ (S9/. 7)FGF4 < R]N)(24(+*:7)FGBG9=(T,/.(?M(78,/BC<4,=< 4<4AFGBG4(278*C?

7)FCN)<)*0BG,/. H9+U

@(213,=*07)F9/.ABCE ,TRSBOFGF [ (IMABG9/1+> 9/9/(2M BO4 (213,/BC<4 ^UNYU

V?. (`@< R(+* H(+,/.<YM

^

F

(29=,/BGH78,=(29 <4 FG6 ,/. ( H<9=, @< R(+*/E > F?9=<>*:13(^BG4],=(+*0H9Q<)EI,/.(

(2BCN)(24b&7)FO>(29-<)E QYQ

1

U_?c(78,/BC<4 7)F H(+,/.<LMdBG97 @ */<L13(2M >*/(SRS. BG1:.7)FGFC<lRS9-<4(c,=< (29=,/BOH78,=('9/(+&)(+*07)F

9=<>*:13(29[Y6dBC,=(+*:78,/BC&)(2FC6d78@ @FC6YBO4NI@< R(+* H(+,/.<LM 9/(+&)(+*07)F ,/BGH(29+U-V?. ('13<4b&)(+*/N)(24 13( ,=<D@ */(+&LBC<> 90FC6

EX<> 4 M\9=<>*013(29BO9a@A*/(+&)(245,=(2MZ9/BGH@AFG6^[Y6 *0(29=,=*0BG13,/BG4 N ,/.( 9/(+@A78*078,/BG4N &)(213,=<)*09,=< [ (<)*/,/. <)N)<4 7)F

,=<W(27)10. <),/. (+*2;cEX<)* BG4 9/,/7)4 13( [Y6

W

,3

h

W

J

1

J

W

N >(245[(+*/N)(+* ; ED`D

; RS. (+*/(KJ h

W !W

70///

W

$21 13<45,/7)BG4A9T,/.( 7)FC*/(27)M6(29/,/BGH78,=(2M@ */<XP=(213,/BC<4 92U/c9TH(24b,/BC<4(2M;L,/.( M(78,/BC<4 7)F

H(+,/.<LM BG9T*0(27)M BGFC6 72&87)BGFG78[AFC( EX<)*?,/.(IFOBG4(278*?

7)FCN)<)*:BC,/. H9+U

,I,/>*04A9 <>, ,/. 78, M(78,/BC<4 BG9 M BG*/(213,/FC6 78@A@AFGBG1+78[AFG(a,=<`4 <4 FGBG4(278* ? 7)9 R(2FOF UKcM MABC,/BC<4 7)F

13<4 9=,=*:7)BG45,/9

W

h

W

1

W

1

h BG4 OAU

7

NBC&)(?*0BO9=(T,=< 7)M M BC,/BG&)(,=(+*:H9

W BG4 OAU

EH

U!V?. BG9

9/.<lRS9 ,/. 78,S,/.(IM(24<BG90BG4N @ */<L13(2M >*/( BC,/9=(2FGEBG9 4<),c7XV (213,=(2M`[b6 ,/.(I<)*/,/. <)N)<4 7)FGBG9/78,/BG<4<)E

W

7)4 M

,/. 78,I13<4 9/(21+>,/BC&)(*0> 4A9S<)E,/.(7)FCN)<)*0BC,/.AH <)@A,/BGHBG9=( ,/.(9/7)H(

\

W

7)9 ,/.(Y$ *09/,c*0>A4 [>,'>A4 M(+*

,/.( 13<4A9=,=*07)BG4b, <)E <)*/,/.<)N)<4 7)FGBG, 6 ,=<d,/.( @ *0(+&YBC<>A9/FC6(3JL,=*07)13,=(2M^13<H@<4(245,/92U

0 <),=( ,/. 78,eBG4 ,/. BG9 M(A78,/BC<4 9/1:.(2H();cBG, BG9Q@<9/9/BC[FC( ,=<W> 9=( M BWV(+*/(24b,Q_LBG4 M 9d<)EaM(24 <BG9/BG4N

@ */<L13(2M >*0(29 RS.(24,/.( 9=<>*013(29cM BWV(+*?BG4 1:. 78*07)13,=(+*0BG9/,/BG1+9+UTV?. BG9TRSBOFGF [ (IMABG9/1+> 9/9/(2MeBG4 H<)*/(aM(+,/7)BGF

BG4

(218U^UYU

EH<)*/(?,/. 7)4d<4(c9/<>*013(29 78*0(?(29=,/BGH78,=(2M 9/BGH > FC,/7)4 (+<> 9/FC6);),/.('9=6LHH(+,=*0BG1T<)*0,/.<)N)<4 7)FGBG9078,/BC<4

H(+,/.<LM 9 @ *0<)@ <9/(2M EX<)*I9=6LHH(+,=*0BO1 2A7)9=,##5

6b& 78*0BG4 (24;_ EDDD

[Y6

6b& 78*0BG4(24^(+, 7)F$U

! 3[

1+7)4 [( > 9=(2M U

c

#Ì#

/f

"

Ð>Í#$

Ì #

d‰ÎrÏÐ>Í#!Ð=c

? BO9S7QE*07)H(+R<)*/_eEX<)* M(29/BCN4 BO4N9=<>*013( 9=(+@A78*078,/BG<4 7)FCN)<)*:BC,/. H9+U V?. (aBGM(27dBG9?,/. 78,',/.( 7)FCN)<<

*0BC,/.AH9 M BWV(+*IH7)BG4 FC6 BG4 ,/.(M(24<BO9/BG4N EX>A4 13,/BC<4

RS. BGFC( ,/.(<),/. (+*I@A78*/,/9 <)E,/.(7)FCN)<)*:BC,/. H

*/(2H7)BO4H<9=,/FC6 ,/.(?9/7)H()UCh4D,/. BG9!9=(213,/BG<4;5R(?M BG9/1+>A9/9!M(24<BG90BG4N'EX> 4A13,/BC<4 9P*07)4NBG4 N'EX*/<H 90BGH@AFC(

u^ogMr!sprrg6zia$oIpcr`up "DoI`6d#o a)fhgiroIr!gdl6t pl6z gwj6rgiluk nplVma)qIkAa)r pqd#l dt6thgioIgipldzVnpl6roq d#gMlo

(9)

[A>,@< R(+*/EX>AFAFGBG4 (278* <4(29,=<D9=<)@A. BG9/,/BG1+78,=(2MQ4 <4 FGBG4(278*<4(29RSBC,/.Q,/.(cN)<7)F <)E BO4 9=@ABC*:BG4N'<),/.(+*09,=<

,=*/6D<>,!,/.(2BG*-< RS4QM(24<BG90BG4N H(+,/.<LM 9+U V?.( *07)4 N)(?<)E78@ @AFGBG1+78[BGFGBC,6I<)E,/.( (3JL7)H@AFC(29 9/@A7)4 9 EX*/<H

1+7)9=(29 RS.(+*/( ,/.( _L4<lRSFC(2MN)(?78[<>,!,/.(?90BCN4 7)FG9 BG9!*0(2FG78,/BC&)(2FC6 9=@(21+B,$A1,=< 7)FGH<9/,![AFGBG4 M 9=<>*:13(?9=(+@!<

78*078,/BC<4QRS.(+*0(S&)(+*/6dFOBC,=,/FC(SBG97)9/9/> H(2Md78[<>, ,/. ('9/BGN4 7)FA1:. 78*07)13,=(+*0BG9/,/BG1+9+U9@ 7)456<)E,/. ('M(24 <BG9/BG4N

E > 4 13,/BC<4 9 MABG9/1+> 9/9/(2M BO4,/. BG9?9=(213,/BG<4 78*/( 78@ @FGBC(2MBG4(3JL@ (+*:BGH(24b,/9?BG4 (213,/BC<4BFYU

(+EX<)*/(c@A*/<Y13(+(2MABG4N ,=< (3JL7)H@FC(29-<)E M(24 <BG9/BG4N E > 4 13,/BG<4 9+;R(c4<),=(',/. 78,BC, BG9> 9/> 7)FGFG6a4<),13*0>=<

1+BG7)FLEX<)*-,/.(?M(24 <BG9/BG4Nc,=<I[(T&)(+*/6a(3J7)13,+U%',/. (+*/RSBG9=(?

R<> FGM4<),![(T&)(+*/6D> 9=(+E> FY[ (21+7)>A9=( <4(

R<> FGMQ<4 FC6N)(+,TRS. 78, BG97)9=_)(2MEX*/<H ,/.( 7)FCN)<)*0BC,/.AH BG4Q,=(+*0H9T<)E ,/.( M(24<BG9/BO4NIE> 4 13,/BC<4U_2<)*0,/>=<

4 78,=(2FC6);,/.ABG9TBG9 4<),T,/.(I1+7)9=([9'9/9/>AHBG4N ,/. 78, ,/.( 9/BCN4A7)FG9T78*/( */(213< &)(+*:78[AFC( [Y6 FGBO4(278*@A*/<XPh(213,/BG<4 9

EX*/<H ,/. (Q<)[A9/(+*/&78,/BG<4 9+;-BC, BG9 (24 <>N. E<)* ,/.(eM(24<BG90BG4NeE> 4 13,/BC<4

,=<^*/(2H<l&)( H<)*/(4<BG9=(

,/. 7)4 9/BCN4A7)F #&S')*',+

6Y&78*0BO4(24`(+, 7)F UC; ! 3[ ; V?. (+<)*/(2H HYU1

UIVS. BG9SBO9S[(21+7)> 9=( ,/.( */(+(29=,/BGHd78,/BC<4

9=,=(+@A9

7)4 M

E

13<4 9=,=*:7)BG4d,/. (c9=<>*:13(

,=<a,/.('9/>[A9/@A7)13(c9=@7)4 4(2M[Y6,/.(cMA78,/7LU -&)(24 BCE,/.(

M(24<BO9/BG4NDM BG9/1+78*:M 9T@A78*/,/9 <)E ,/.(I90BCN4 7)F;*/(+(29/,/BGH78,/BC<4 9/,=(+@A9 */(29=,=<)*0(I,/.(2HeU

h4@ *07)13,/BG13();,/. ('<)[9=(+*/&878,/BC<4 9 13<4b,/7)BG4 4<BG9/(cRS.ABG10.M<Y(29 4<), E> FGFC6M BO9/78@ @(278*[Y6Q7)4b6FGBG4(278*

@ */<XP=(213,/BC<47)4 MQ,/.(24Q,/.( Ob> 7)FOBC, 6<)E ,/. ('9=(+@78*078,=(2M9/BCN4 7)FG9M(+@(24 M 9 <4 ,/.('7)1+1+> *07)136d<)E M (24<BG9 <

BG4NUC E ,/.(+*/( BG94<DM(+,/7)BGFC(2M _L4< RSFG(2MN)('78[<>,T10.A78*07)13,=(+*0BG9=,/BO1+9T<)E ,/.( 9/BCN4 7)FG9,=<9=,/78*/,TRSBC,/. ;bBC,TBG9

> 9=(+E> FY,=< [<b<),/9/,=*078@,/.(?M(24<BO9/BG4NcEX> 4A13,/BC<4 9+UPV?. BG9 1+7)4[( 7)10. BG(+&)(2M[b6 9=,/78*/,/BG4 N'RcBC,/.D*/(2FG78,/BC&)(2FG6

N)(24(+*07)F9/BCN4 7)F1:. 78*07)13,=(+*0BO9=,/BG1+9S7)4AM ,/.(24e,/>A4 BG4ND,/.( M (24<BG9/BG4 N E> 4 13,/BG<4 9T[A7)9=(2M`<4 7)4 7)FC6L9=(29?<)E

,/.('9=,=*0> 13,/>*0(SBG4,/. (c4<BG9/6D90BCN4 7)FG9!(3JL,=*07)13,=(2MBG4d,/.( $ *:9=,-@A. 7)9/()U"h4E7)13,+;9=<H(c<)E,/.(c4<4AFGBG4(278*

? 7)FGN)<)*0BC,/. H91+7)4d[(?*0(+N78*0M(2Md7)9FGBG4 (278*9? 7)FCN)<)*:BC,/. H9 RS.(+*/(S7aFGBG4(278*M(24<BG9/BO4N EX>A4 13,/BC<4

BG9 7)M 78@A,=(2M ,=<,/.(a9=<>*013(29+; FG(27)M BG4ND,=<d4<4AFGBG4(278*?M(24 <BG9/BG4NU

);>= O a ™X`³ca B c³#@ka>X_ Bäa@…Zh³

³#@ED G@ ³Z @

h4Q,/.ABG9 9=(213,/BC<4R( 13<4 9/BGM(+*?9/(+&)(+*07)FM(+,/7)BGFC(2M ;L90BGH@AFC();b[A>,T@< R(+*/E > F;LFGBG4(278* M(24<BO9/BG4N 9/10.(2H(29+U

Q (eBG4b,=*/<YMA> 13(d,/.(M(24<BO9/BG4N9a> 9/BG4N ,/.(M(24<BG9/BO4N`H78,=*0BCJ ;wO RS.(24 E(27)9/BG[AFC()U Q (e13<4 90BGM(+*

(TV(213,/BC&)(aBGH@AFC(2H(24b,/78,/BC<4<)E ,/.(IM(24<BO9/BG4N9T7)9?R(2FGFU

<4 90BGM(+* M(29/BCN4(2M^(3JL@(+*0BGH(24b,/9+; & '' '

; BG4$ (2FGM 9c<)E@A9=6L10.<)@A.b6L9/BG1+9'<)* [ABC<H(2MABG1+BG4()UZ , BO9'>A9/> 7)F

,=< 13<45,=*0<F,/. (2H [Y6 . 7 &YBO4N`@(+*0BC<LM 9 <)ES7)13,/BC&LBC, 6 7)4AM 4<4!< 7)13,/BC&YBG, 6)U 4 9/> 1:. (3JY@(+*0BGH(245,/9a,/.(

M(24<BO9/BG4ND1+7)4 [(I9/BGH@AFC6dBGH@AFC(2H(24b,=(2M[b6

O

h

M BG78N _

p

RS.(+*0( O */(+E(+*:9 ,=<,/.(IFGBO4(278*?M(24<BG90BG4NH78,=*0BKJBG4 OU

*

7)4 M

h

p E<)*c,/.( 7)13,/BC&)(a@A78*/,/9

p E<)*c,/.( BG4A7)13,/BC&)( @A78*/,/9

N

V?. BO9-7)H<> 4b,/9-,=< Ha> FG,/BC@AFC6LBG4N',/.(S9=<> *013(S(29=,/BOH78,=(

[b67 [BG4 78*/6DH7)9=_!;bRS. (+*/( <4(29*/(+@ */(29=(24b,

,/.( 7)13,/BG&)( @A78*/,/9 7)4 M 6+(+*/<Y(29 ,/. ( 4<4=< 7)13,/BC&)(@A78*/,/9+U

0

<),/BO13( ,/. 78, ,/.ABG9 H7)9=_LBG4N @A*/<Y13(2MA>*/(!7)13,/> 7)FGFC6

9/78,/BG9$ (29 O h O O

1

UVS. BG9 H(27)4 9S,/. 78,%?

BG9 (POY> BC&87)FC(24b, ,=<d,/.(a@ <lR(+*'H(+,/.<LMe(+&)(24 RSBC,/.

(3J7)13,/FC6 ,/.( 9/7)H( $AFC,=(+*0BG4 NU3h4 @ *07)13,/BG13(a,/. BG9 ?

7)FCN)<)*0BG,/. H 13<> FOM`[( BGH@AFC(2H(24b,=(2M [Y6 O3a;

78@ @AFOBC(2MD,=<I,/.(S7)13,/BG&)(c@A78*0,/9!<)E,/.(SM 78,/7 RS. BGFC(T,/.(c9=@A.(+*0BO4N 9=,/78N)(SR<> FGM9/,/BGFGFBG4b&)<FC&)(?,/.(SRS.<FC(

M 78,/7LU

(10)

E; <4 ,/.(d<),/.(+*. 7)4AM;P90BCN4 7)FG9a78*/( 1:. 78*07)13,=(+*0BO9=(2M [b6 . 7 &YBO4N 13(+*/,/7)BO4 EX*/(POY>(24 136 13<H@<4(24b,/9+;

<4(e1+7)4\,=*07)4 9/E<)*0H ,/.(e9=<> *013(Q(29/,/BGH78,=(e[Y6 ? TV ;!H7)9=_ ,/. (9/@ (213,=*:> He;L& '' ';!RSBC,/.\7^[ABG4A78*/6

H7)9=_ ;A7)4 MeBO45&)(+*09/(I,=*07)4 9=EX<)*0H ,=<<)[A,/7)BG4e,/.( M (24<BG9=(2Me9/BGN4 7)F[

O h ´ ´

1

p

X^

RS.(+*0(

´

BO9,/.( ,=*07)4 9=EX<)*0He;

eBG9Q,/.( Hd78,=*0BKJWRSBC,/.Z,/.( H7)9/_W<4 BC,/9QM BG78N)<4 7)F$;?7)4 M

´

1

BG9

,/.( BG45&)(+*:9=( ,=*07)4A9=E<)*:HeU5SN7)BG4 ;7 13<H@A>,/78,/BC<4A7)F BGH@FC(2H(24b,/78,/BC<4e<)E!,/.( 7)FCN)<)*0BC,/. H 4(+(2M 9'4<),

*/(29=<)*0,c,=<eH78,=*0BCJ`Ha> FG,/BC@AFGBG1+78,/BG<4 9?7)4 M^BC, BG9S@<9/90BC[AFC( ,=<eBGH@FC(2H(24b, ?

[b6`78@A@AFC6LBG4NmO35 <4

9=(2FC(213,=(2M`@A78*/,/9 <)E ,/.( ,=*:7)4 9=EX<)*0H(2M M 78,/7LU

%'EX,=(24D7c9/BGN4 7)FbBO9 R(2FGF51:. 78*07)13,=(+*0BO9=(2MD[b6 RS. 78,PE*/(POY>(24 1+BG(29 <L1+1+>* 78,PRc. 78,,/BOH(29+U V?. BG9BG9 (+&LBGM(24b,+;

&

'' '

;5BG4D<901+BGFGFG78,=<)*/6D7)13,/BC&LBC, 6BG4D,/. (?[ *07)BG4DRc.(+*/( <9/1+BGFOFG78,/BC<4 9 <)EX,=(24<L1+1+>* BG4D[>*09=,/9+UC'4(3JL7)H@AFC(

<)E!9=<>*013(a9=(+@A78*078,/BC<4 BG4 9/>A10.`MA78,/7BG9?9=,/>AM BC(2M BG4

(218U FYUYU V?.( ,/BGH(T<$E*/(POY>(24 136[(2. 7 &YBC<> *S1+7)4

[( M(29/13*0BC[(2M [Y6 1+7)FG1+>AFG78,/BG4NIM BO9/13*/(+,=(?13<9/BG4 (,=*:7)4 9=EX<)*0H

? TV

BG490.<)*/,!RSBG4AM< RS9 BG4D,/BOH()U!V?. BG9

*/(29/>AFC,/9SBG4`7Q13<Ha[ABG4(2M`,/BGH( 7)4AM EX*/(POb> (24 136e*/(+@ */(29/(245,/78,/BC<4 ;9=@(213,=*/<)N)*07)H ;RS. (+*/( ,/.( H7)9=_LBG4N

1+7)4 [( 78@ @AFOBC(2MU

V?. (+*/(SBG97I_L4< RS4QM BGFC(2HdH7 BG4,/. (c1+7)FG1+> FO78,/BC<4<)E,/.('9=@(213,=*/<)N)*07)H [!M(+,/7)BGFG(2MdM(29/13*:BC@ ,/BC<4<)E

,/.( E*0(POb>(24A136`13<45,=(24b, M<Y(29'4 <),'7)FGFG< R M(+,/7)BGFC(2M^BG4EX<)*0H78,/BG<4 <)E-,/.(D7)13,/BC&LBC, 6 BG4`,/BOH( 7)4AM`&LBG13(

&)(+*09/7LUCh4 <),/.(+*PR<)*:M 9+;8FG78*/N)(7)H<> 45,<)E M BWV(+*/(24b, E*0(POb>(24A136'[BG4 9< RSBOFGF8*/(29/> FG, BG4I9/H7)FOF7)H<> 4b,

<)EA,/BOH(FG<Y1+78,/BC<4A9=UCQ 72&)(2FC(+, ,=*07)4 9=EX<)*0H9

?'<4<.< (+,!7)F UC;! EDDFY;

-(+,=,=(+*0FOBY7)4AM GI< &87)13(+&YBG18; EDDF

. 7 &)( [(+(24 9/>N)N)(29=,=(2M ,=< <l&)(+*013<H( ,/. BO9@ */<)[FC(2HeU V?.(+*/(^7)4 7)MA78@ ,/BC&)(`<)* @ */(2M (*$A4(2M][7)9/BG9+;

M BWV(+*/(24b, E*/<H ,/. ( @>*/(D9/BG4Y> 9=<BGM 9'> 9=(2M BO42 <>*0BC(+* ,=*07)4A9=E<)*:H <)* ? TVI; BG9 > 9=(2M ,=< M BC&LBGM(a,/.(

*/(29=<> *013(29 <)E ,/BGH(I7)4 M E*/(POY>(24 136 [(2. 72&LBC<>* <)@A,/BGH7)FGFC6QBG4e9=<H( 9/(24 9=()U

(+*/( R(D78@ @AFC67*/(2FO78,=(2M`<l&)(+*013<H@AFC(+,=(T<$[7)9/BG9'78@ @ */<7)1:.U5 4A9=,=(27)M`<)E-.A72&LBG4NZP/> 9=,?<4 (a9=@(21 <

,=*/<)N)*07)H ;YR( > 9=( 9=(+&)(+*07)F ,/BGH(T<$EX*/(POY>(24 1367)4 7)FC6L9=(29RSBC,/. M BWV(+*/(24b, 97)4 MC 9+U-V?.(24Q,/.('4(+R

(29=,/BGHd78,=(c<)E ,/. (c@ *0<XPh(213,/BC<4

W

X

BG97)10. BC(+&)(2M [Y6d9/> HdHBG4N ,/.( 4(+R (29=,/BGH78,=(29

W X

<)E (27)1:.<)E ,/.(

,/BGH(T<$EX*/(POY>(24 1367)4 7)FC6L9=(29*[

W

X

h"!

W X

U

$#% & '( ) *+

'9 7 $A4 7)FP(3JL7)H@AFC(D<)EM(24 <BG9/BG4NQ[A7)9=(2M <4 M(+,/7)BOFC(2M 9=<>*013(1:. 78*07)13,=(+*0BG9/,/BG1+9+; 13<4 90BGM(+*A2 BCNU 87LU

V?.(+*0(D7e9/<>*013((29=,/BGHd78,=(

. 7)9 [(+(24 */(27)10. (2MU VS.(78@ @A78*/(24b, Ob>A7)9/BC@(+*0BC<LM BG1I9/,=*0> 13,/>*/(D<)E,/.(

9/BCN4A7)F1+7)4\[(> 9=(2M ,=< @ (+*0E<)*0H ?

,=< N)(+,7^[ (+,=,=(+*D(29=,/BOH78,=()U V?. ( M(24 <BG9/BG4N`@ */<L13(+(2M 97)9

EX<FGFC< Rc9*[

8U 9=,/BGH78,=( ,/.(IFC<L1+78,/BC<4 9 <)E ,/.( @(278_L9 <)E ,/.(I1+>*/*/(24b,S9=<> *013( (29=,/BGH78,=(

2 BCNU [

U

YU .<)@ (27)10.`@(+*0BC<LMQEX*/<H @(278_ ,=<d@(278_ U

NYU ? BGFO78,=(I(27)10.`@ (+*:BC<YM ,=<d7m$JY(2M`FC(24N),/. N

FGBG4(278*0FG6<)*c4<4AFGBG4(278*0FG6

U

^U c&)(+*078N)( ,/.(IM BGFO78,=(2M@ (+*:BC<YMA9

2 BCNU 81

U

FYU

N

(+,?,/.(IM(24 <BG9=(2Me9=<>*:13(I(29=,/BGH78,=(

X

[ (I790BCN4 7)FRS.(+*0( (27)10. @(+*0BG<YM. 7)9 [(+(24*/(+@FG7)13(2M

[Y6,/.(I72&)(+*:78N)(2M @(+*0BG<YMM BGFO78,=(2M[A7)1/_eBG4b,=<,/.(I<)*0BGNBG4 7)FFC(24N),/.

2 BCNU 8M

(11)

0

500

1000

1500

−10

0

10

(a)

0

500

1000

1500

(b)

0

50

100

150

200

250

300

−10

0

10

(c)

0

500

1000

1500

−10

0

10

(d)

2 BCN>*/(;M[;A/ E &<

&

&M&AA5 ND5%&

)

"V6 5M & 5V 5

&

5

'

< ' / C &# &AA5N %&

&

/

0

&

'

&

5'

9 /

& 5&# & & &AA5 ND5%&

X

'

V?. (?M(24<BG9=(2MD9/BGN4 7)F

X

BG4K2 BCN;8M9/. < R]9/BCN4AB,$A1+7)4b,/FC6I[(+,=,=(+*

0 8]13<H@78*/(2M,=<I,/.( <)*:BCNBG4 7)F

9=<>*:13(I(29=,/BGH78,=(

; BG4 2 BCNU87LU

V?.ABG9Q7 &)(+*078NBG4N]BO9 7 EX<)*0H <)EaFOBG4(278*M(24<BG9/BO4N 9/BO4 13(^BG, 1+7)4 [( BGH@AFC(2H(245,=(2M 7)9eH78,=*0BCJ

H > FC,/BC@AFOBG1+78,/BC<4U 2 >*/,/. (+*0H<)*/();!BC,a@ */(29=(24b,/9a7)4 <),/.(+* 1+7)9/(BO4 7)M M BC,/BG<4 ,=<^,/.(d[ABO4 78*/6 H7)9=_LBG4N;

RS.(+*0(? BG9 (POY> BC&87)FC(245,!,=<a,/.( @< R(+*H(+,/. <YM(+&)(24dRSBC,/.D(3J7)13,/FC6,/.(?9/7)H($AFC,=(+*0BO4NU ,!R<> FGM

4<), [(D(27)9=6 ,=< 9=(+(EX*/<H ,/.(M(24 <BG9/BG4NH78,=*0BCJ O BC,/9=(2FGE-,/. 78,O

h

O O

1

U < R(+&)(+*2;P,/. BG9

[(213<H(29'(+&YBOM(245,'9/.<> FOM <4( 13<4 9/BGM(+*',/.(D72&)(+*078NBO4N<)E-9=<>*013( (29=,/BGH78,=(

X

2PBGNU8M

,/. 78, BG9

7)FC*/(27)M 6 7 &)(+*078N)(2MU

0 <),=(?,/. 78,!,/.(+*0(?78*/(S1+7)9=(29!Rc.(+*/( 10.<)@A@ABG4N EX*/<H @(278_a,=< @(278_DM<b(29!4 <),!N> 78*07)4b,=(+(?,/.( [(29=,

*/(29/>AFC,+U!V?. BG9BG9(29=@(21+BG7)FGFC6D,=*0>('RS.(24Q,/.( @(+*0BC<LM 9-M<D4<), 9=@A7)4Q,/.( RS.<FG(c9=(213,/BC<4 EX*/<H @(278_,=<

@(278_; [A>,',/.(+*/(D78*/( @A78*/,/9cRS.(+*/( ,/.( */(29=@<4 9=(aBG9c90BGFC(24b,+UcV?.(24 ,/.(+*/(DBG9'4(+(2M^,=<Q(29/,/BGH78,=(D,/.(

FC(24N),/.A9 <)E,/. (I@(+*0BC<LM 9T9=(+@A78*078,=(2FC6)U

);:

O a@…Zh³

³A@D

X

a B Z @ a

b³ X ™a B

³#D @kX`c6a @ka>_ D

h4W,/.(`@A*/(+&YBG<> 99=(213,/BC<4;?9/(+&)(+*07)FSM(24 <BG9/BG4N 9/1:.(2H(29QR(+*0( BG4b,=*/<LM > 13(2MU h4]7)FGF?<)E ,/.(2He;T,/.(

M(+,/7)BGFO9 <)E,/. (dM(24<BG90BG4N R(+*/(Q7)9/9/> H(2M ,=< [( _L4<lRS4Um ,IBG9I7)9 R(2FGF!@<9/90BC[AFC(a,=<`(29=,/BGHd78,=(,/.(

M(24<BO9/BG4N 9=@(21+B,$A1+78,/BC<4A9aEX*/<H ,/.( MA78,/7LU]V?. BG9DH78_)(29,/. ( M(24<BG9/BO4N^4 <4 FGBG4(278*D<)*7)M 78@A,/BC&)()U

h4 ,/. BG9I9=(213,/BG<4 R(Q13<4 9/BGM(+*I7@78*/,/BG1+> FG78*A 7)FCN)<)*0BC,/.AH BG4 ,/.(m? EX*07)H(+R<)*/_ ;9/>N)N)(29/,/BG4N

(12)

$

<4 90BGM(+* <4 (<)E ,/. ([(29=,_Y4 < RS4

78@ @ */<7)1:.(29+;W[Y6 <)@ ,/BGHBG9078,/BC<4 <)EA,/.(907)H@AFC(_Y>*0,=<9/BG9

<)E ,/. (9=<>*013(29+U V?.( <)[=P=(213,/BC&)(EX>A4 13,/BC<4 BG9',/.(24

\

h

!

:

#"# F

N

!

7

#" F

7

U

BG4 13(

,/.(S9/<>*013( &878*0BG7)4 13(S.A7)9![(+(24K$JL(2MD,=<a> 4 BG, 6);R(S1+7)49/BOH@AFC6 >A9=(

\

h"!

:

#"F

7)4 MM (+*0BC&)(

,/.(E > 4 13,/BC<4

&YBO7 OAU

=

U V?.ABG9'6YBC(2FOM 9

\

h ^

F

; RS.(+*/(

h !

$

U

(2FC(213,/BO4N

h

F

^Q7)4 M

h BO4 OU

=

,/.(24e*0(29/> FC,?BG4

h

F

V?. BO9?BGH@AFG(2H(245,/9c7)4 7)FCN)<)*:BC,/. H RcBC,/.`4<4AFGBG4(278*'M(24<BG9/BO4NU

<dE78*2; R(D. 72&)(D4<),'*/(+EX(+*/*/(2M

,=<M(24<BG90BG4N;5[>,7 1+FC<9=(+*T(3J7)HBG4 78,/BG<4Q<)EE OU F *0(+&)(27)FG9,/. 78,T<4( 1+7)4;BG4dE7)13,+; BG4b,=(+*/@ */(+,

7)9'[(2BG4N

H7)9=_)(2M^[Y6

7

; ,/.( FO78,=,=(+*'[(2BG4 Nd7Q9/<H(+RS. 78, 4 7EC&)(a(29=,/BGH78,=(D<)E-9/BCN4A7)F (24(+*0N)6`7)4 M

,/.Y> 9 */(2FG78,/BO4N,=<

0 8IU

GI> */,=<9/BG97)97)4d<)[=Ph(213,/BG&)(cE> 4 13,/BC<4QBG9 4 <),=<)*0BC<> 9 E<)*[(2BG4N @ */<4 (S,=< <l&)(+*$ ,=,/BG4 N 7)4 Md@ */<LM > 1 <

BG4Nc&)(+*/6 9=@BC_b6I9/<>*013((29=,/BGH78,=(29 78*/(2FI7c7)4 M - BCN/.78*0BC<;:NY; 6Y& 78*0BG4(24;M EDDH U/2<)*-BGFGFO> 9=,=*078,/BC<4

<)E ,/. BO913<4A9/BGM(+*2 BCNUNYU-V?.(+*/('<4( BC,=(+*078,/BC<4 <)E?

> 90BG4NI_L>*/,=<9/BO9 [A7)9/(2M M (24<BG9/BG4 NaBG99/.<lRS4U

'9/9/> H(`,/. 78,d&LBG7 9/<H( H(27)4A9d9=<>*:13(`(29=,/BGHd78,=( 9/.<lRS4ZBO4U2 BCNU3N87 . 7)9[(+(24Z*/(27)10.(2M U V?.(

9=<>*:13(d9=(+(2H9 ,=<`13<45,/7)BO4 BG4 13*0(27)9=(2M 7)13,/BC&LBC, 6 BG4 ,/. */(+(@<)*/,/BC<4 9

78*0<> 4 M ,/BGH(BG4 9=,/7)4 13(29 *L;

N 7)4AM `

U/ , 7)9-R(2FGF13<4b,/7)BG4 9 7I@ (278_ */<>N.AFC6a78,-,/BOH(?BG4 9=,/7)4A13(^ 7XLU-V?.(?9/BGN4 7)F(24(+*/N)6

(29=,/BGHd78,=(); 5

'

&

'

;-,/. (Hd7)9=_ BG9D9/. < RS4WBG4 2 BCNU9N[ UQ . BGFG( BC,. 7)9 [<Y<9=,=(2MW9=<H(+RS.A78, ,/. ( [A*/<7)M

7)13,/BC&LBC, 6 13<H@A78*/(2M ,=< ,/. ( 9/BOFC(245, @A78*/,/9+;!,/.( H78N4 B,$1+78,/BC<4 <)E ,/. (Q@(278_ BG9aEX78* N)*/(278,=(+*2U V?.Y> 9

,/.(DM(24<BG9/(2M 9=<> *013(a(29/,/BGH78,=(

X

2PBGN N81

. 7)9 4(278*0FG6 4<),/. BG4NQ(2FG9=( ,/. 7)4^,/.( @ (278_ U V?.( 4(+R

9=<>*:13(c(29=,/BOH78,=(

Z

;L[A7)9=(2M <4 ,/.( 4(+R @ */<XP=(213,/BC<4

W

Z

;BG97D1+FC(278* 9=@ABC_)( . 72&LBG4NDFGBC,=,/FG(cFC(+EX,<)E

,/.(I[A*/<7)Me7)13,/BC&LBC, 6)U

−10

0

10

(a)

0

20

40

(b)

−200

0

200

(c)

0

1000

2000

3000

4000

5000

6000

7000

−50

0

50

(d)

2 BCN>*/(;NM[;A/( & &&AAA5 N %&

'

/y6

7

#"K& /

&< 53P&*7 & & &AA5 ND5%&

X

h

h

A/

&

& &AA5 ND5%&

&

A &I 5

'

I= & & &AA5 N %&*

W

2IZ

(13)

V?. (dM(24<BG90BG4N BG4b,=(+*/@ */(+,/78,/BG<4 9/>N)N)(29/,/9a,/.A78, ,/.(QEX7)BGFO>*/(,=<`(3JL,=*07)13,D,/.(Q[ */<7)M 7)13,/BG&YBC,6 BG9

M >( ,=<Q7@<b<)* (29=,/BOH78,=(I<)E

0

8IU

$ (( $ ( +

N

(+, > 9 4<lR 13<4 9/BGM(+* 7 */(2FG78,=(2M^[A> ,c[(+,=,=(+* EX<> 4 M(2M (29=,/BGH78,=()U\c9/90> HBG4NQ,/. 78,

BG9'13<H@<9=(2M

<)E

4

7)> 909/BG7)4]4<BO9=( RSBC,/.Z7 13<4 9=,/7)4b,d&878*0BG7)4A13(

7

7)4 M

4

7)> 9/9/BG7)4 9/BCN4 7)F?RSBC,/.]4<4!<9=,/78,/BC<4 78*/6

&878*0BG7)4 13(

7

#"

; ,/.( Hd7JLBGH > HY<7X<$@<9=,=(+*:BC<)*0B

@ O

(29=,/BGH78,=( <)E,/.(a9/BCN4 7)FBG9

X

#"

h

#"#

7

#"

7

33 #"

p

`

RS.(+*0(

7

33 #"#

h

7

#"#

l

7

#"

BG9T,/. (I,=<),/7)F &878*0BG7)4 13( <)E ,/.( <)[A9=(+*/&878,/BC<4U

V?. ( _Y> */,=<9/BG9d[A7)9=(2MU? F 1+7)4Z[(`7)1OY> BC*/(2MZE*0<H ,/. BG9R@ O (29=,/BGH78,=( BCE',/.( 90BCN4 7)F

&878*0BG7)4 13( BG9?7)9/9/>AH(2M ,=<Q[ ( EX78* 9/H7)FGFG(+*?,/. 7)4 ,/. ( ,=<),/7)F&78*0BO7)4 13()U54`,/. 78,c1+7)9/(aBC,SBO9?*/(27)9=<4A78[AFC(

,=< 7)9/9/> H(

7

33

,=< [ ( 13<4 9=,/7)4b,7)4 M

7

#"

1+7)4 [ (Q(29=,/BGH78,=(2M [Y6

7

#"

7

U

>[ ,=*:7)13,/BC<4 <)E

7

M <b(29 4<), 7XV (213, ,/.( $JL(2M^@ <BO45,/9'7)9 BC,c1+7)4 [( (2Ha[(2M M(2M^BG4 ,/.(a,=(+*:H

h

7

F

33 BG4

OU = 7)9SRSBGFGF [( 78*/N>(2M BG4 (218U^UNYU

N

BC_)(+RSBG9/(); M BC&LBG9/BC<4Q[b6

7

33

#" BG9 78[9=<)*/[(2M[b6

U

<H@A78*0BG9=<4I<)E OAU

`

7)4 M OAU

F

BGHdH(2M BG78,=(2FC6 9/>N)N)(29/,/9BGH@ */< &)(2H(245,/9 ,=<c,/.( _Y>*0,=<9/BG9

[A7)9=(2M\?

U(2 <)*PBG4A9=,/7)4 13();8BC, BG91+FC(278*,/.A78,BCE

7

#"

BO9 FG78*/N)((24<>N.;)BC, BO9 4<), *0(27)9=<4 78[AFC(,=<c7)9/90> H(

,/. 78,

7

#"#

BG9I9/H7)FOF-13<H@A78*/(2M ,=<

7

#"

U 4 9/,=(27)M;,/. (dH7)9=_ 9/. <> FGM 9/78,/>*:78,=(dEX<)* FG78*0N)(

7

#"

U

V?. BO9 7)FC*/(27)M6 BGH@A*/< &)(29 *0<)[A> 9=,/4(2909I78N7)BG4 9=,a<>,/FGBC(+*:9 7)4 M 7)FGFG(+&YBG78,=(29I,/.(,=(24 M(24A136^,=< @ */<LM > 13(

9=@ABG_b6 9=<>*013( (29=,/BOH78,=(29+U

Q ( 9/>N)N)(29=,?,/. ( E<FGFG< RSBG4 NDBOH@ */<l&)(2H(245,/9S< &)(+*'_Y> */,=<9/BG9T[A7)9/(2M M(24<BG90BG4N EX> 4A13,/BC<4

F

[

8USVS.(c(29/,/BGH78,=(29T<)E 9/BGN4 7)FA&878*0BG7)4A13('7)4 M ,=<),/7)F&878*0BG7)4 13( 78*/( [A7)9=(2MQ<4e9=(+&)(+*07)F <)[A9/(+*/&78,/BG<4 9+U

VS.(*078,/BC<4A7)FC(d<)E?9/H<b<),/. BO4N BG9I,/. (Q7)9/9/>AH@ ,/BC<4 <)E?90H<b<),/.A4(29/9I<)E ,/. (d9/BCN4 7)F &78*:BG7)4 13()U

h4W@ *:7)13,/BG13( ,/. BG9d1+7)4W[( 7)10. BC(+&)(2M [Y6 FC<lR5<$@A7)9/9 $AFC,=(+*0BO4N ,/. ( ,/BGH();E*0(POb>(24A136 <)*Q,/BGH(T<

EX*/(POY>(24 136M(29/13*0BG@ ,/BC<4<)E

7

#"

6YBG(2FGM BG4N ,/.(I78@ @A*/<2JBGH78,/BC<4 <)E,=<),/7)F &78*0BO7)4 13()U

YUSVS.(Q4<BO9=(d&878*0BG7)4 13(BG9aFGBC_)(+RSBG9/((29=,/BGH78,=(2M EX*/<H M 78,/7LU , 90.<> FGM [ (Q9=<H( _YBG4AM <)ES9=<)EX,

HdBG4 BGH > H <)E ,/.(Q(29=,/BGH78,=(2M ,=<),/7)F &878*0BG7)4A13(29I[(21+7)> 9=(Q,/.(d(29=,/BOH78,=(Q1+7)4 [((3JY@(213,=(2M ,=<

.A72&)( *:7)4 M<H A> 13,/>A78,/BC<4 9+U_Q ( 9/>N)N)(29=,?,/. (IE<FOFC< RSBO4NaEX<)*0H > FG7=[

7

h

(3JL@

FC<)N

7

l

7

33

#"#%$

7

87

VS.(4<BG9=(&878*0BG7)4A13(

7

78@A@ (278*:9 <4 [<),/. 9/BGM(29 <)E,/.((POY> 78,/BC<4 ; [A>,I78,I,/. (*0BCN.b, < . 7)4 M

90BGM(); BC, 78@ @(278*09 <4 FG6 ,=<e@ */(+&)(24b, *078*/(9/Hd7)FGFP&7)FG> (29 <)E

7

33

EX*/<H 9=@<BGFGBO4N,/.((29=,/BOH78,=()U

(24 13();R(a> 9=(2M ,/.(a@ */(+&LBC<> 9/FC6 (29=,/BGHd78,=(2M`&87)FG>(I<4 ,/.( *0BCN.b, < . 7)4 M 90BGM()U?V?.( 13<4 9=,/7)4b,

BO9c,/>A4(2M 90> 10. ,/. 78, ,/.(DEX<)*0H > FG7NBG&)(29 7 13<4A9/BG9=,=(24b, (29=,/BGH78,=(D<)E ,/. (D4 <BG9=( &78*0BO7)4 13( BGE

,/. ( 9=<>*013( (29/,/BGH78,=(aBO9+;BG4EX7)13,+; 4<),/. BG4 N [>,

4

7)> 9/90BG7)4e4<BG9=()U

NYUSVS.(d9/BCN4A7)F!&78*:BG7)4 13(Q90.<> FGM [(d1+FC<9/(,=< ,/. ((29=,/BGH78,=(Q<)E ,/.(d,=<),/7)F&878*0BG7)4 13(dHdBG4b>A9 ,/.(

(29/,/BGH78,=( <)E!,/. ( 4<BG9=( &78*0BO7)4 13()U

BG4 13(I7&878*0BG7)4 13(a1+7)4 4<),S[( 4 (+N78,/BC&)(a7)4 M`,/.(I(29=,/BOH78,=(

<)E,/.( ,=<),/7)F &78*0BO7)4 13(. 7)9A> 13,/> 78,/BC<4A9+;R(> 9=(D7dEX<)*0H > FG7QRS. BG1:.`6LBC(2FGMA96+(+*/<e<4 FG6eRS.(24

,/. (a,=<),/7)F &878*0BG7)4 13(DBG9%6+(+*/<[A>,cRS. BG1:.`7)9=6LH@ ,=<),/BG1+7)FOFC6`78@ @ *0<7)10.(29

7

33 #"

7

EX<)* FG78*/N)(

&87)FG>(29?<)EP,/. ( ,=<),/7)F &878*0BG7)4 13([

7

#"#

h

:

33 #"

l

:

7

H

(14)

'97)4]BGFOFG> 9=,=*078,/BG<4 <)E ,/.(29=( BOH@ */<l&)(2H(245,/9Q13<4 9/BGM (+*m2PBGNU_^ RS.(+*/(<4( BC,=(+*078,/BC<4\<)EA?

> 9/BO4N ,/.( @ O (29=,/BGH78,=( BG9d9/.< Rc4UWV?.( $ *09/, ,R< 9/>[ @FC<),/9 2PBGNU/^7 7)4 MW[ 78*/( BGM(24b,/BG1+7)F

,=< ,/.( <4(29> 9/BO4N _L>*/,=<90BG9 [7)9=(2MWM(24<BG90BG4NU 4o2 BCNUC^18; ,/. ( (24 (+*/N)6 (29=,/BOH78,=(eBG9D9/H<Y<),/.(2M

> 9/BO4N FG< R5<$@A7)909%$FC,=(+*0BG4NU 0 <),=(,/. 78, ,/. ( [A*/<7)M 7)13,/BC&YBG, 6 . 7)9 [(+(24^Hd78N4 B,$ (2M^RS.(24 13<H@78*/(2M

,=<`,/. (d9=@ABC_)(Q78*/<> 4 M ,/BOH(dBG4 9/,/7)4 13(K^ 7XLU V?.(d4 <BG9=(FC(+&)(2F

7

; 1+7)FG1+> FO78,=(2M > 9/BO4N OU 87 ; BG9

9/.<lRS4 BG4aMA7)9/.(2M FGBG4()U"T<)*/*/(29=@<4 M BO4N?H7)9=_LBG4N

2PBGNU(^M

*/(29/>AFC,/9BO4 7 M(24<BG9/(2M 9=<>*:13((29=,/BOH78,=(

> 9/BO4NC OU

`

; 9/. < RS4 BG4 2 BCNU ^)()U%2 BG4 7)FGFG6); ,/.(a4 (+R 9=<> *013( (29=,/BOH78,=(

2IZ

BO9S9/.<lRS4`78EX,=(+*Z$ &)(

BC,=(+*078,/BG<4 9 <)E?

BG42 BCNU"^)E U ?

>A9/BG4N ,/. (R@B%O/<$[A7)9=(2M\M(24<BG90BG4N . 7)9 1+FC(278*0FC6 */(2H< &)(2MW7

13<4 9/BOM(+*078[AFC( 7)H<>A45,?<)EP[A7)10_bN)*/<>A4 M 4<BG9/(I7)9?R(2FGF7)9?,/.(IFG<4(2FC6Q9/@ABC_)()U

−10

0

10

(a)

0

20

40

(b)

0

2

4

(c)

0

1

2

(d)

−10

0

10

(e)

0

1000

2000

3000

4000

5000

6000

7000

−10

0

10

(f)

2 BCN>*/(A^![;A/ & &L&AA5N %&

' /

7

#"#T& / N V &#I5I& &' + G 5 &> 5&K& & 5 56&*

5 & / & 53 5

'

N 6 &)/ & 5&*2

&

& &AAA5 N %&

X

)

/?<

&

& &AA5 ND5%&

)

%&

B& & 5%& A5!%

)

'

V?. ((3JL7)13,DM(+,/7)BGFG9I<)E,/. (29=(dBGH@A*/< &)(2H(24b,/9 78*0(d4<), 13*0>A1+BG7)F; [A> , R(QR7)4b,=(2M ,=<^9/.< R ,/. 78,

,/.(?M(24 <BG9/BG4N BG4b,=(+*/@ */(+,/78,/BG<4<)E OAU F 1+7)41+78*/*/6D> 9 OY> BC,=( E78*2U V?.(?78[< &)(?(29/,/BGH78,=(29-@FG>N)N)(2M

BG4b,=< OAU

`

6YBC(2FOM`7R?

7)FCN)<)*:BC,/. H RS. BG1:.`BG9cEX78* H<)*/( */<)[A>A9=,S78N7)BG4 9/,c<l&)(+*$ ,=,/BG4N;M<Y(29 4<),

@ */<LM > 13(e,/. ( 9=@ABG_b6\9/BCN4 7)F?(29=,/BGH78,=(29 7)4 MZBO4WN)(24(+*07)Fc6YBG(2FGM 99/BGN4 7)FG9RSBG,/.W[(+,=,=(+*

0 8S9d,/. 7)4

_L>*/,=<9/BG92U

?'(29=@ABG,=(?,/.(SH(+*:BC,/9!<)E,/.( ? 7)FGN)<)*0BC,/. H M (29/13*0BC[(2M78[< &)();Y,/.(+*/(SBO9-9=,/BGFGFL<4 (?@ */<)[AFG(2H RSBC,/.

BC,+UZQ . BGFC(a,/.(a(3JL,=*07)13,=(2M 90BCN4 7)FG9c. 72&)((3J13(2FGFC(24b,

0 8 ;,/.(+6^M<4<),'4 (213(29/9/78*0BGFG6 13<)*/*/(29=@<4 M ,=<

BG4 M (+@ (24AM(245,?9/<>*013(29+;E5'& ';A,/.(D9=<>*:13(29cH7 6e*/(2H7)BG4 HBKJL(2MU?V?. BO9?BG9?[(21+7)> 9/( ,/.(+*/( BG9S4 <),/. BG4N

BG4,/.(aM(24<BG9/BO4NaRc. BG10.e13<>AFGM M BG901+78*0M<),/.(+*c9/<>*013(29+U/'9/9/> H(); E <)*cBG4 9=,/7)4 13();,/.A78,?,R<Q9=<> *013(29

. 7 &)(1+FC(278*#< 1+>, 7)4 M^4<4=<$<l&)(+*0FG78@ @ABO4NQ,/BOH(29'<)E 9=,=*/<4Ne7)13,/BC&LBC,6

7

#"

7)4 M^*/(2H7)BG4^9/BGFG(245,

EX<)* H<9=,c<)E ,/.(a,/BOH(

7

#"

h

U

>@ @<9=(I,/.A78,c<4(D9=<>*:13( BG9c@ */(29/(245,'E <)* 9=<H(D,/BGH(a78, ,/.(

[(+NBG4 4 BO4N <)E,/.(cM 78,/7 7)4 MQ7)4<),/.(+*T78,,/.(c(24 MUC E ,/. (c1+>*/*0(245,9=<>*013(c(29=,/BGH78,=( BG9 7aHBKJL,/>*/(?<)E

References

Related documents

Melgarejo, “A comparative study between two algorithms for computing the generalized centroid of an interval Type-2 Fuzzy Set,” in Proceedings of the IEEE International Conference

Mechanical Properties (Tensile Tests): Tensile strength, Young’s modulus and percent elongation at yield and break were measured at room temperature according to

Appointed by the Energy Market Company (EMC) Board, RCP members represent generators, retailers, wholesale market traders, the financial community, the Power System Operator

Firm specific factor including: size, age, human capital and managerial competence and business environment factor which include access to finance, access to market, and

There are factors affecting professional development Such as organized legal legislation of the profession of accounting and auditing in those countries such as company laws

Regarding the percentage of damaged fruits, the efficacy results obtained let us to conclude that: - The formulations RELDAN E at 0.35 %, IMIDAN 50 WP at 1.0 kg/ha and SPADA 200 EC

We propose several alternatives that can coordinate the supply chain in the presence of consumer returns: (i) use a different buy-back rate for new and returned items, (ii)

[Auxiliary I/O connector, rear panel] BER test result output Outputs a CMOS 1 signal that is high for fail and low for pass. Valid only on measure end signal