Äîêóìåíò âçÿò èç êýøà ïîèñêîâîé ìàøèíû. Àäðåñ îðèãèíàëüíîãî äîêóìåíòà : http://curl.sai.msu.ru/mass/download/doc/radugred.pdf
Äàòà èçìåíåíèÿ: Tue Jan 3 17:19:11 2006
Äàòà èíäåêñèðîâàíèÿ: Mon Oct 1 20:14:23 2012
Êîäèðîâêà: koi8-r

Ïîèñêîâûå ñëîâà: ï ï ï ï ï
r A x w yx wv ut s rq pb i hG gf ed cb a` YX WV UT SR QP I HG FE D CB A¤ @& %9 8 ¤ 76 5 ¤ ¥¤ 4¢ & § 3¢ 2¨ 1© ! 0) ( '§ ¸& § %$ #" ! ¤ ¤ © ¦¨ ¸§ ¦¡ ¥¤ ¸¢ ¡


A ï Cd 0k0 yB yB xB yB xB yB xB B xB yB yB "ê xh &hp yR& & xX xp

§v "` h Ui "`gX

X

0d gAgA CC CC Cd CCd

5q 7 hUv

xB xB

Uev "e 5r SR "T gp SR"T po 5r 5 tv

yB yB yB xB yB xB yB xB C yB yB xB yB d yB xB

yB B yB B xB xB xB xB xB yB xB B xB xB

# yB "¼ yB yB yByB (X (X 5` 5` i yB eP 8¢ yByB 5) RyB "F©p (R bi pyB 5q ©p yB p C` #~C "r yByB ( yB

CA CA

©@ å kg yB ôå g þ yB Cg gg yByB gg yByB dd yByB dd yByB S@ d dd yB Ug yB A yByB AA yB o A ¤ AA yByB yByB @ yByB

yByB xBxB yByB xBxB yByB xBxB yB xBxB yByB xBxB yByB xB yByByB xBxB yB xB yByB xB yByB xBxB yByB xBxB yByB xBxB

yByB xBxB yByB xBxB yByB xBxB yB xBxB yByB xBxB yByB xB yByByB xBxB yB xB yByB xB yByB xBxB yByB xBxB yByB xBxB

yByB xBxB yByB xBxB yByB xBxB yB xBxB yByB xBxB yByB xB yByByB xBxB yB xB yByB xB yByB xBxB yByB xBxB yByB xBxB

BB yByByB BB yByB BB ¾ByB B yByB BB yByByB BB yByB BBB yByByB B yByB BB yByB BsB yB "F BB yByB BB yByB

76 xB xBxB xB xBxB xB "H 4B xB xB xBxBxB xBxB gT xB xB xB xBxB BxB 7p xBxB xBxB

d 8y xBxB yByByB xB yB xBxB 5r yByB ©R xB yByB xBxB yByByB xBxB yByB BxBxB yByB xB yByB xBxB yByB xB "F C`yB tr xBxB yByB xBxB wByB

) yB yB yByB yByB yByB yByB (H yB "u©p `yBbi yByB ·ByB yByB yByB yByB ByB Ui yByB X Yq yByB yByB yByB (RyB CvyB yBCr X yB 5r yByB yByB "F yB"F "e yB

d¦ Wî Y xB B xB xBxB ãBB xB xBxB BB xBxB §a xB gX B H xB xBp ¶ B yj xB 5q xBxB#~ !BB "! xBxB "FxB "FB "e xB "TxBB gF BoR "i tv xB%P xBB B ©p xB 5r xB CX 5 B ©R 5` XxB CqB gX xB C` xBxB BB xBxB (v B gu bP gp b Cp%`

C3 Sy # xB B "F xBUT 0R yB 5q BxB yB gv xB P yB f xBgv (P B0f xB5q gX g`yB ¯) xB # yB gp xB ` yB 5 CvUi B 5q gX "F xB h B YXbi ! p "! oV 1 WF tv xB gp tHyB ph xBxB yByB CF "u tr C` Ch r gX

o3 ' 02 yB xB "F Cv yB 5r ©zgX "` gF o3 bi #' B "F Cv B"F 5 gX gT T Ui gX gX ½H YH t "¼ (R ¨µv ´¨ xº 5q yBB #9 xB82 "76 yB "F XyB "q xB "F yB "` 5` "F "I g "e "e gF "v CF ei (T tr "IX 5q gv "e X (P "Fgv 0f }) %F # "F §v yB 5q xB X "r yB U` yByB xBxB yByB CT q gs bi 5q p gX Ur

í #~ xB CX 5 B ©R xB5` C yB X 2gp "` # 5` X Yv 5q5r gXCX 5C` ©R"r 5`tv gpC ©p X"F oi qtT xF p "T Cq gF gX ©X "i X G¹ gv ¸ (P 0f oR 5` tv xB 5` X B 43 "r xB tv gp B 3 vxu xB qoRB Cv gsxB 5q oi gX B xF 5h 5` Yv ©R gX QHCF tr gp Ch |I "F gX (P Ur 0f 1R 5` gXr WH 8 9 d 82 ©X |6 "i C)P gX# xB SR oPB UT xB 5R tr yB Yh xBxB BB xBxB yByB 0R"H CF 5q Yr ©X bP GV #©p "I bi9

5` ei"` gr tv hH"f &

! "! 1 yB 5 xB gX o2 gI S' P X 5q PtH WH h oR pF ©p gX Ui H gF%H fP "f s x¢ « g gF ¥ "T hCq 5 gp gX X " y "F5` lXtT ©p {3 5q Sz gX yB F xB 5q yByB fBxB Ch"T 82 gX" 76 %HgF

}) # 9 "TyB 5T xB gX "FyB (e xB gf © 0X "¦ "V P ©3gX ©¦H ¯ Ur UR er gs di u CvCF tr5q ChgX gX 5` "Tg HgF gX 5q §H gX C`5R tr"r p tv "F gf tT oip yF d ©XCq ± "I ® (` ¥ Cu W &¤ "r (v¸¢h¬ (R&¤ v¸¢ U¡ Uf (R tv1 Yr |F YH Fr F Ch CFX gf trWv UiCh 5vYq gX F 5T ©X "f Ui "F X g` bi o$©peP '(RGP v CI q©3 CF X "r tv 8p 5n C yBB B xm yjyl ti "F Uc §v©R ` ©X " "i 5) "f "F 43 Ue dR "c #2

82 |6 BFbi gp (ä "u tc 5v gp X gpei (RtH h v gXYhUi gX"` GV HH p¡"u « C` trUR ª© h gp 1 " gXgXF hHCT ©R WvtT p "I `oVd C tr 7yCh gX (v hXi 5q5q P i gX 5q "F"F 1 UTtT pbR0)

C) # ì3 "` "F 5` "F(X #"I "H ! "F ©! ` 5q X |F h b "I gh Uf "T UT ©R UT GVX ta "I tr%h (h ¨$t tv gp "F C` CI tr gs XC` oi 5a "r 5F X tv (F©X VUi ©XgX "Tgu w tTbP gp7p gXgX C`C` "r"r H gX 5q C` gX "r "a ( U 5` ' ©R YX & 5`

8v ê 1! UT ei X ` Cc gs tHtr x9 "` # "I 3 CT ö2tT 5á U q Cv h CX 5` 5 ` tT t` gp oR P Cv CX"F 5`5c"u X 02 ©R ©! Cv 5c tr X ©Roi 5r "FC` gp tr "etT ©R ht` 5e gp H "v gX yR gp t` (v U` 7 hh hhhh Fv CT5r gp gs "F"` "F5r §5q gX"r pr Uv ©p bitT 7p©p p 5 0 "r 5r5r CXCX 5r5r CXCX SR 5r QPCX

7~ dR gp "c "F gF "T "F SRt p oi h ei ( R "u gT §PUT bP SR "r5 ' CX 5T§ 5 7p CX Cr 5 UR Ch tH tr ©X %h h oihH H Cs r # gXgp "9 "`t` tvtv gpgp tHtH g` tv ePgp (R tH WFC%$ X GV"c

"ë Y 0R R 5qgp #äyH v p R (R xq gp Uf "F ©R t` Cv h 5q(R gX gp v o y` ' (R gp 4` r §H yX 1R Cq "fgp "F"F "FCh gX (RtT ©p"T xw %H 7 (R Cv (R(R CvCv (R(R CvCv #"I "T"! UT

§ #~ gF Ui ei gX UR ©3 5q §gX 5R 5 5r ©R CX gT ei bP ©R gp UT 5 "HSR ©R HtP gXUT Y2 SR UT tPUR "r5` Xtv gagp Ui C` CCI tr gX5q bP rC` gp gptr "`5h Uv w3©R 5 ©R 5` 55 ©R©R 5`5` 55 ©R©R 5`5` © "I "H

gB gBgB oBoB oBoB ²X oBoB ²X oBoBoB i oB ` oBoB oBoB H oBoB R oBoB & A && CB AA && CB A CBCB AA¥

0) S ~ èõ d 0 © W3DA R ¿ 1h§` j° » kg d 1h S' ° © "¦ DA& H l v l k jl dg (v ' DA k CBCB dg GF E ©¨ §¦DA

é« gg àg þ d dd dd dd dd¦ u t ¤

! ¸¢ 1 %! " ¡ ¤ " &




0 0 C CkC CCd k

C

5a Cr yB "F "F yB yByB

Cr oR ©X xBgr BxB (PY xB xB

e yB ©R `xB yB ByB xB yB yB xB yByB yB xBxB %ByB yByB k yB yByB xB yB xB xB xBxB yB xB

k yB gg yB g dd yByB A yByB AA yB yB

gX C` xB "r yB tv gp B tH 4h oB yB gX xB C` "r yB tv xB gp tH B 4h yB yB xB yB xB B yB yB xBxB yB xBxB B yByB F 5c yByB tH (h B yByB xB yByByB xB BBB yB yB "e xBxB xBxB yB xB yB gX BxB xBxB yB xB B v SR yB ¾ByB B yB

gv P (P X 0f Ur 5` oR gX ív H r X ta gI p gX tr H gp C` h yB"F tv h xB gp "yB CF yB tr p xB "r tFxB h yB yB xB yB yB xB xB yB yByB xB yByB yl ìBB i SR " Cr "T Cr %i "T tF dR7p B R 5qC` Ch Xq gX (Pgp gp5` "e H tr xB yB S xB yB ¸ yB ² h C C &j ¨A xB "Ff U`tT &j yB xB yB xB xm §c r gp ¿ xB B 5r gv tT xB e tR T "a gF gX YH CF gX eP |R

Ui Cs B "T B 7Xei ©R X "F 0ft` B a gu

4r xBr B gFph CF 5h S ¿

"I 5r Cr Wi "T gF" gX "T B|I bR CF P Cv gX g ei gX tT oi X " Ui "F p X ©X (P gX tr ©R Ch CT oV CF tv gptv |F © " ¿ "F t` p 5r ½ ©X v "IgX 8 gq 5` gv©p Ui "r h oR Ui 5a gX

|HCr r 7X 5p "F gXX 5a pH Y gX tT "I tT ¸ R 5q

SR gX 1¹ "a 5q 5q"T d "q "F 7p ² d ©R `

Ui"F ¢ §h gF 0f5H WH yp " WH t` C` "r

i p t"I ©p "T yF0R gX &¡ h "F "F©p gf CF Yv 5 gX ( 5` ©R H "T oR 5rtT tv ©pt` 7p Y" q q Ch gp "T Yv §T tT t` c "I 7p 7p 5r (R v "F y d §T "I t (X l"I tH Yh

H XgF oR gXUv rGV y GV tv gp

oi UT oioe "T hX GVgp dR §v8gp GV "I

5q Cq trbi gph "u Ui t "T "c ©X ´l "T UT

gX |F H gr ©Rh hgX h "` u "H "F(X oeo 7Xbi gp "r "` f W` "i yl i oi"f tT Cq p 5"` CT "FpX tTr YF oRoP gvU "F 0fT SR gX 5T gh "ir YF gX§v H "F©Xgp PtT 5TpgX U HgX ©X Hbi ©X H gu bP

"` "` q"` 5` gf © "c gf §F"c ©p "FP SR WP

UT tF "Fv P xF"F ©R"f "f (P "F "F

tF5v gf5 xm tT gX gp tT 5`gp "i"F "e (v

tR UH a 5` "` ©R "f 5r "Foi gf v ©Roi ©R v gp §`

ôR "! "I e "T bR "` gu Ui RxX lq d (X H v 1R1R 0p0p oo ©X©X DA C` tv tH "F i DA Ue tr gr 7X gX gh Uq oB hoi u xF trCq 7X "T"` "a Urgh gqtr Uq &h 5` g` u C "c "T tc gT UrUc tr ` &h DA "r 1RCs Cs p p eP X (R 1R r "F (a rr gp tFCh Ch"I "IgX v yF 0p V F eP R VV hh %h (h gr 5v tF gr5H X tF p 5gp gp X ` Yh Uf ¿ gu 5v5v "F "T "` UR CF "H CF CF bPUR©R gp R ¨§ ii xF ¸H §R P §R ¸` & kg d DA CB oBoB oBoB oBoB

gB g gBgB gg oB d oB A

¦¥ ¸¢ ¤¸ ¥¤ 3¢ ¨ ( ¢¡ " " ¢ ¸© § ( ¢ )


d

C yByB yByB xBxB yByB xBxB yByB xBxB BB yBWB xB bB ¶ yB ¸¢ ¢ xB Yq yB gT yB Ui xB X q B xB "I "TíB gF bR "i 5a P ©Xp¨ ei 5a 5R ©X Ur ei(R 5R §v Ur X(R 5a v gX "T 5` "I gX "T 5H 5` X gX 5H"c X F qp p"I "T "I tT "T ©p T bP ¡ p bP q p CICq "q"q !! xmxm ylyl ii "F"F "F"F "T"T xFxF ii DA oBoB

¦¸ ¢ 3" ¡ g¤ ¨ ¸© § ( ¢ )


"I q }F H gu gX gp " CF

Ch UT ©R"F p "r gF UT %¨ X
GF

oF

A8

tH

}F

5 5 ©X q bi gp q he{ GV r tr `bP gp tI "` ph hH tr oF5p 0R! U q §F "i trbP gp"p gf"` GHUi X h U ©R gpgI F wc Y "f 5 "F ©X tT eip 1R 74 gf 1R h tvgr p 5` "r yX 5T gq xX "T 1m 5! 5r CX 5 ´q ©R ´` gX UT gX SR §FCs tH WhUv (R GV xv "I ! CTtr (hgs ¸ eP ©R gp t` t` gp íh 5H Xfq "c (` %F bo (R 5a "v gX CF "T tr 5T gh X "F 5v t` ©X U "e tr ©R gh "T 5T 5T (X gX v F "c 5 "F o öf (¼ C` 1r p gp 5` (X tv g¼ xh oi 5qtv ghX "rxF tv ot Wr"F "v 7X CFUf roRUr 5c1Rtv Xh r gpYq gp o¶ of tF ¯k! ©R ©X C` P"r tv ¶ gp Cs tH b 5q p §H C Uv X"f oR "c tF ¨v Fgh ! t` tR (R gp "a gv tH ©R5 q 5qP X gv5q X(P "r f tv5` 8p gX gs HX P hq p gf gp "I"i "T "TP gF 5 "i X "r tv p yq q öB gf tF 7X gh rtT 5cp X"r }q "T íF X e "c gX 5` X 5r (X yv p C`UT X }R"r tv 5 gp gX tH "I "T h CT " tr

gX CT "q op8g¼ gf yUi 5i X Ccöf hgs gX ·T xH A@ 98 76 W¸ "i ´P qY UrX URr 5r ©R 5q }T© gX ©p tv gpbi p tH gt hgp gFr "F ei 5c 55T X XgX q gqtF 5Cs Xtr Chr "f "T " ©p "F "Ioi tT 5`5H 5q XC` gX gv"r t` (Ptv 5 CI gX "r #F CT (v ! 5 gX CT Uq 5 "iCs trP Ch oRgu vUi gX "F Cr CvgX 5r C` CX

CF "r tv yp Uq©R 5R T tr ©h 5 tr Ui l 5p gX bRp tH Ua gh "I SR "TtP tc"F p "` q 54 2 tr "f "F Ue Yh Pe h p pi C`CX "r5 ©Rtv gp ` " "F ©p Ue bP ph } |F 5r X oR v5u ´v "u gp C` Uf trh gh 5p |F ©R r& gX P Uf "T ©RYF 5 §TX X h 5r w¨ X #v C ©X 0f UP 5` ©R gX %F 5` gp©p "Ioi tH gT5H ´h ©XUi gu ei P UR gX tr "` ©p ©RgX t`§T gp T H gX CT X "q 5a tr 57p gF ©R eiCr 5` ©RgX C

"To¼ gf UT 5i SR Uq pP 5R tr q |F CIr Ur "I R "T 5 5c r gX gp H 5 ! X "F rd ©X Ui q gX "rH 5F §B bB "f ª¶ F 5a ¢¡ ©X P Uf 1R gr gF p tB CqsH aH tr B ©h bitv pp "r 5T p X bP X gp Cq 5e tr gX gh "` p Ui "r X Uv sq ©R U` "¼ R "T UT SR P eh8p te ! gp5n gX C"` "TeX %H !tT p "T WT "F yv WF gp ef "F 5r Uf "F §R C` tr" 7p ( Cr tr h 5h SR oR Ui gv C P X (P gq 0f P 5` h gX X H 5a 5ngh íH gFC XP"F " "F UftP (e c©R "}P(r §uei 5 ©R tgX T 7p "T"a dR wc tT UfCv gs ©R Ui CT (X gs tv bi h Ur 7p UR err gs 5q diX CF r "q "I t` "Tgp 5T¾H (X

§v P v qr "T GV bB 5` "F WF h tP 5q gu gT f gp gX 5` "T ¡ gX UT gf c h Cr tF X p5h hu

©X bP gp SR Cv pP 5r CX eP 5( 5` gX ! C S¶T X X5r Xtr Ch "rX Ui &èP X 0X ©p V » oPC XTD rB 5q (X UR CICp tq(X ©p Uv H F C©R gs "F ¶V UT0! §F R )( gh'& p |I Cq trCs htr Chtr 0Xc ¡oV q ! c XUT oi 0R5r UF 5qyX ©R ©X Uf ©R tT gX 5`"I "T gX gT t H Ui qCT Ur fc ©R SR bi ePgp dR "` gXhh "` ¨¥ H ©p ©R 5i 1T Uq ! ©R tc "r gp tF §` Ch 5v "I ©X f (` hUi gu Xtr

5 "`©R ©R HT 5` Cgp CI GV gX bi p"I"T "TtT § h tF gh X CF 5a Uq F 0R ¡ 5q }p 0X tr X h gp tv {T p UR "u r ` X Uibi CX p GX 5 ©R § ´T "F %$ "F H"# "e "! v gr §F " pgX Cq "T 5r 5 CX X X GV h gI5h SRP Cq bP !gX ©p C`GV bi "r h "I 5h t` ©R 7p "` Cr µv X "T q gF gp i t5` C p (X xX tr v ChbX "I pF q gT p Ui "` tH gh F gX 4F CT 5r gT {X Ui "p©q !gf 5q5i Xoq bP q gp U 5eX gX"v

g YX {T 5r CX 5 © 5 gX ©R¢ CT ` tr ¤ p 5 Uv gX 1©R CT %H 0Rgs Cqbi5 ptrgX ©h"r "T bPCF UT SRCq gs tr §PUi ©h gX "FbP }` gp Cv t`5r r Ch CX p gX 5 §tH©R gp 5` U¼ T C ©R X `74 "a 9@ 5 tqdR c ©p bi gp p 4T § eV XoR 5a |v gX gr "T "F tT 5Ih C UfbV 7p §R ²r ¨§ © C B X ½F %F 7r 5 5r X ©R 5q ` X 5a "r Uf ©R CT 5q gX tT Ch WX ©R UT SR §P ©p Cs5T (X Ur Wv UR "r gp "F "F 5 UT gX R gh4H "F öf H h 1tr p bB ôB "f "F tT ©p P d 0X V gh 5F B "F 74 ©pCv A@ 5roP 98 CXCF 76 5}q 54 ©R 32 }q5` Ctr ©R(hpX tvUT gfp 0R "i"r 5q GP5TX "cX PB oi U R gq ! C C 8A ¤! "u C` 4v tr gh t 5T gp (X "F v Ue 1R|F gr5r ©R5` yX"H "F gq "e "T CF tr Ch ©X bP gp |T ! p " ( gu íi X ´r eh ! Uf ©p (R P tv ea h ! gp p " gp "F gT C` tP tr 5c 7p gX Cr yH X oi©X Ui Yv 7X GV 5r !"I CT r gsp ei U ©R oR C` tv "r Uh tv ! gp "f tvgh "T gp F UT tH SR hh YP Uf e RGV bR o (a "I "u gu gT ` eP P a R 0X GV¿gX "TCI 5R%q ¨ C íd 5r X eV SR bi ©p bP gp "` "u gFWT "T "i "FX %P r" gF5 gXbi pCT hqgs ei "u ©R gT C` ts P "rh §X ©ptT 5`"r 5 X ! tv r wh p ír GV CI"I tq 5T gp C ( ©X gu eP iu gp or Ch ugX "` e v ¨ ei gf ©R "i T P "a tF h {" ei "f ©R "F " §q Uv UR ©R r "T gF "I "i P y p Cq tr gh UT ©R 8BtcT ©p Ui gT gX Ui xH X Wq! ©R X ! q "F tF 5r gh ©R t` "T gp gF tH "i gh P gF 4P gX H 5 gX "u ¦¥ "I gT Ui X %q ©R "T gF "i P f"r tv 8p "I 5n (` C gu hX bP gp 5q 5e gX gX C` "` "r {H tv gp 5 tH X "`CF 4H"r 5H gFWX ei íh 5R tr GV©p ¯P "I "T ¾F tT gp CI 5qgu
m

m

SP gp Cs T hp

m

gp t` %h p "I CT "r U` SR oP UT UR 5q 0R X 5q 5r gX X "` ga F P "c gX CF hH Ur 1R t gp Cr TX Cr t X 76! 5q T4©RX 2 h"T 5h 5v tr 1R ©X(h §rUitv pX "u "r&q (` 5T gp gu X "e bP gv gp5` ! X 8 y 5r §X ´l R ©R 5qT ©R gp ` 5a"F gXtT pC` "r gXov f C` 5c "r X tv gp tHB h b ©p "Fbi p CF tr 5h í ¶ öP xa W¢ ! qY0R Cq tr Pe ©h h P pi X 5q !X dh (v gb "u gXgu "`oP HtT 7p X Cr 5a X CX tv gp g¼ì` i g¼ |F bi 5r }vIHgF GH ei B R GF gp ED|I CB}` r 5p 5qR 0R X q5q tr ©R h I `tvUc 5ap©R gX"r T ¢¡ è ( ô» ! "T "F "T CF 5q X "T {F "F "`dR wc§H öf h Cs "r CF Ur ©R 5` B|F r Cr gX"I 5`CT X5q "rgX tvtT pCh 5r X F ± q 1R 5q XUfr hgp§R 5h C` 5SR tr gX oih 5`"av 0X UT tP SV©R c !gF ¡ h"F tT ©poV "FGP "T g¼ UT Ui ©R 5 %` ©R T tP c gf ¡ "i q X 5q 5`Ur ©R CXUR `5tr 5a Ch©R gX ©X µT ¯¨C` hP "r "FF tv "Fgp "I"etH yhgT(v Uigu gp }H | gB }q 5q X tr gvp "u(P f"` 5`CF gX"s ´HU` 0R bV q peUr (R ©R tv CTgh gs §F ei tr ©R "p 5T gf gX Ui "F X "e q 5` 5c "f "F"a "F gTtF tT h bP ©p ©p bi ¥ bi ©p Ch bP ©xX gp "`Cl 8 1B5H y X ¹ l & C¼ C`tT p tr Ch 5 gX gX "` CT §H 5r }X q 5v "I gX C` tT "r gp tv eV"T C` ©R t` "r yp"T tv gF gp q "i ChtH pPh7X r 0¶GV Ur X "I ¯R 5a T gX Uc ©R "T ©R 5` t` ` pCv 5q CqgX tr 5` gh g UT gF ©R ei C` oR tr ìv Ch gX ¼ "` "u ´H r ª " "F C¼tT gsp bi U xp ©R ¤¸ 5` C·B X "c ¢¡ WF gX Ui tTgX Ch H ìX ! 5q "I gX tT C` p "r dtv ©Xgp tHti ¯h"c

tr 1h ! te gp 5T (X Uv yR 7j gpUq X pR 5aCT X§qgf yr "i tr P7pp 5u Cr0R gX Cq gp `tr C` ©h Sm¸r bP X5e ¯rgX "` Cr H gX gT ¼ P"u 0X CT 5V "q µq CF §¨ "r tv©R ©X gp ( Ui tH YugX ph ¯H "F X "` 5aoV H gXF "T gr X 5T "F"r X tv|5v ` "F Cv b 5r ` CX w 5 y ©R Y 5` v C © {X Y p fe Ur dc UR Cb "r "F 1 ½ a` EY Cr XW X ¥ r ´ 5T ©R (XUv C`URv "rr "c tv hF gp tH gX GV h UT "I 0R eP "T 5q ©R T X T 5vC` C "r xX}X tv E gpB tr tHp h ¨ 7X eGV bRGr "I (a "!"T gu e UT eP tr²X ©p h 4P r |I |I Cr rX p Uv u©R Cc T ""iq c"Foi "T|F "F gF {r "v i |F ©X 5rt P ©R©p "Toi "I xFgF gT GcP X S¶ ta " §p "F "f Ue "FR hUT gs0R 5qei "uX Cc X bP "F qgp tT ` gpgp "T Cs ©R gFtr TCh"i Uc gX P ©R "T gXxT tT WH ©p Cp p h 7p q r p gf tr "i gh P tF h " "F 5 "T 7X gX gX 5H H gX X "` "r hH ( ©R ! C` " "r "F tv "T gp gs ¸¢ bi gp &¡ %e h ©p |F oi 5r CF (R 5e ©R }X 5e © ¯F Ui X " tr "F }h "T gF t` 7pi Cr 7p gp Cr tH gX h gT p P X CI ¨ 5q X X gv 5a (PgX X Ur Qq R gh |I tT gpr p |H tr Cr gh X tF v h q"T 5 X 5q r X "r tr ptv h8p gp 5n wT C ·X &è F »" "F q tT p r U "I ©R "T 5` tT C YF GV p "I "r CT tT gs 7p bi or p "u 5v ©X P "

gp 8B tB gp gp tv ©X ! 5qh © Ph Cq ¡ SR bR R gs Uitc xP Cq WHgX gs 5i "F gF tH gF tvtr yhgX 0f gT t tc CFC` Cp Cp X

t`T "F &h 5Cs p gXtr h "IT p CT 5"q X gX CFor CT"r ! gs tv "I ypbi g`p yq UreP SR(R q vP tB IH GH B GF TD B p tr (h tv p "r 5T X v (`p Cu yq "r qt` gp UH p R ©p Ui 5 CX gX y gT CsP 0XUr 0R5V qq Ui Cr X X yq {r gp íq "F " F gF di 5q r (X gv (P 0f ` gXUr ªR tT Ch Xx¡ §B "f %j "F UT UT 1R R ghgr "F"F UH5T ©RgX HT h 0Y Eu py h a` Y xw dv b 'u C ¸¢ CIX ¤5r CX 5 1 ©R ¨p VU ´` © 5 gf 7X ¢ "i r ¤ P p tr TD ghB1 tFSR Qhq "T tr }P gF7h bP groR 8p CvUF 5n dR5r CWcCX 8X 5 |F ©R! r5`© & "I ¢ "T ¤ UT SR 1P (a gu¿ eP R R 5q¿ ©R ` ©R 5a C` gX tr C` 7p "r Cr tv gXgp C`tH hr UigpX gX ·q5T tH! gh gs "I WF bi "T p gF §F Ur "i 5R ©R P "r 5` F CX (R g Cv "F5q gX"` `H FgX Ui "` gX |F H tH "r gh Cs"f F tr "F Ch Cs "T gX tr gF ChCT yi gXgs §Tei|F UR r tr 7X ©p"I rTP CT gF 5q oi gX µF tT }¨ Ch hX CF tr tr Ch 5p gX R "T U tT ©R p C`Cq 5rtr Xh Uq Cv ©R 5q "` gX UH 5` ©R g T gF ei Uf (R (R v Uv R Cs Etr Ch gX T r 5p 0R "q "F C` Ur bB 1R ¶ Csr trh 5h5h SR©R Ui}` C Xq i h {ib F©p "aGV bi CFp "I gq CT P gs h ei h¶ gp©R "FC` tv"r h tv x 5qgp ¢gX tH¢ ¨h` 5h T 1R q r oCrp |F©XCq trP5r ghX ©R trUT C` 7p©R "r C`r tv tr gp Chgr tH gX "Fh "` tv hhH 5` ©p gX oi H xF U gX Cq pH gX "` §¥ }H dR "c"F gF"v eitT ©Rgp UT5e RX trP 0XCh gXGV CT CI gs hq bi p7p "r Cr CF gX Cq ` tr hm (q "u "r tv gp R tH 5qh ©R 5` 5agX gX gT C` P "r0X tvGV gp I tH h "c "I YF C` "r GV tv "Igp "TtH íh5 X f5q h gX &r 5` gU¼ ©RgF i "F gXr tT pC` p tr § ChU df gX©R X xH5` tr C"! 5h eX ©R "ctR T a F gu eP8 |R y ¿ l


k

ri ee Hr

bi oi ei H `

"f "F oB o R "F oe dR"T CF "I r (` oo "TtF

& tT ©p g¼ "c "F 5q gF "`©R gu bP (h F o Uv 8B1R"f

©p Uv bP §R gp 7 R 5a gp gX"I p` C`tT "egp 5e CF gX tr 5h"` "F §r UT "f 0R "F

"` 5H QX "r oB tv URgp gp gF C` ei 5r ©R H t 5q tTgX gp "`

tr p C¼ h UR 7XtH tr hh ©p r Cp X tq |F oV gu 7r "F Ui

gs bi gp |F X 5r 5a hP 5h ©R "I tv h h gp "f (r gX tu H h

e h 5q 0R gX Cq CT tr gs gh bi ` tT p A p ©X "F UT SR tP gf" X |F"i 5a UPr gX Ch!

gX C` "r tv 5 p X Ur tq SR hh GP Uq ti SR "c i xF a X5c vX h "f gf "T "F tT tFp gh t t`

gp g¼ tH Ui h &|F r p "F "i tT pP p gp q tH

(p "I5 ©R gB Uq 95 SR t Cc gh hq gF

Cv 5r CX 5 CT i}Ttr a gp GV "`0q 98 7 9 65 gp "F Ue 0R ´P"uCs U`tr Crh©R gXpp

"I ©R "T 5` UT C !"v q$ 5T1R 5R(X r "q CF 5r "T5T C X o`yX ¨r gf

gX Gv SR tq (v xh tr 0p "r Uf v ©R ( tT "r tH gp tv

YX 5 gX hP F"F h V tv h p ¡ X 7X 5a r gX CT gF ! di ©R "u C` "v "r

"T"F 5T"e poc 5T Cf (X oi §F gF "q tv oP CFgp

"Fgu "T ©4q p gu ph "H

oebP gpgf ¯`bi T 13 5q¡ &2 7X bi Ch gX t`¦ yq gp ¥¦ H q

10

' &! © %$ ¤ # "! ¸ ¥ ©¨ §¦ ¥¤ ¸¢ ¡

gp 5"` X 5` ¨§ r )(gX ¡ "` H F ! "F F

X v b h Ch gX "` xv ©R xB tT tP "F 5q "` gX §H "H CF GV pr |I gp r "F"p UT"f R tT gh 7p "f H tF u gh t` hF p q"F "F ©R "e tT (v gp gu C` bP 0R Cq tr h gs bi öB p o or F f a X "F tT ©p (r 5i u Uq e©R ¨ "` ei UH ©R ©R T &T "a

p "Fc §¡5H qCf{X ctq Chtr t5pgX p bR yH tr gp gr w` "F "` tI H Ch gX CF "` tr gu5r tr 7XeP Ch |R rC hX¿ p5h gp ©R GVF y` a "I §q tF h t ©p "f bi "Fp (h tT "vp

xgCh gX 0R 5` Uq (X SR tv öi Wh ChUa SR gX "i "T bP tT gp Cp "` C p 5H "r X tTq 7p p (r "I "u "u "T g` UT P SR p YP "I "F 8B 5 H gXT UB CTt r 5rp Xtr "I

GV CI Ha Ufd ©R CTX Chgs Xei "F 5` 5v Cv X ©X 5r 5r PCX Ch X(` gX 5a gu CT gX bP

tq gp ( 0R CT Uq gs SR ©R §F "F "H"F (X 5 tv ©R gp 5` "q CTgp tF gs 5e gh eigX

bi gu0ip » "F"F T C XF tT 1R "`p r


U SR öi ta h "f "F tT ©p bi ©p YP Ur UR dr 5q r X "r"I U`"T SR " oPgF UTUi UR5 tr 5R h r oVhh "F öf tv h h tr gp 5p Cr Yh gX X X ph gf P



"r gX UrGV

gp "F ` "i gIf

©pgpgp "u5v "cgX h"T

b ´F"F ©p gv bP f (P gp h f "`tr 5` 5ptH xX 0R5h ©R"q 0l }`§F gB eo 1Rt` gp Cr gh Cr "F Qh or(V trCT CT ` CI tF FX agv g`0f "F 5q tT r ¡ hUi YX hH 5 Cs oV5q "fq "c yF XtH "fdf "u(P pX o "F UqgF YP´R Ch 5q gX gX P5` gX ©Xt §v d GV"f "q FYH gX5r ©X "i "r

"I gX v Ch H "F "T C¼ gi bi ! xe p 5I "T X q UR 5v tv g 8p C 5 X"f rgp gu 5q gX C` tv "i tH %P f d¶ "F"F 5q bi "`bP "` 7r or X tu ¨ "i

5`tT Cp X q gh ¯ tT 5a"F X tT "fgp P gX H

5r C` X tr "r C } ( tTUT 0R©p "f

"FgX ¯F"r gXUi ©pgX "F UT

! "rYH gp |F 5R "r

gF gs "r CX gpgf 5H "F

¶gp F 5n hh gfh CI pq

"T 8B "I

tvT gp gF ©R 0R gv r UT (H Ui ©F

F gX v SR Cp X

5q (P5 "Fgp

U U

U

"f "F UT 0R "q "F CT Uq ©R ©¶5 gX oV CT "F gs xT ei q 1R gr 8 CF y r tT p gI "r Ui "TgX FH ªh "F "F Cr gX gX WH C` "r tv "I gp "T tH T h ¡ gXgX "IHCT "T5r XtT #m ©p 8B Cs 5i |Ftr 5q h gX5r p U öf gX h 5`or g gf gF P Xei (R5q gX¯v "`

"I"e ©RUT

` CI q gf "i P 5 7X l5H tv ´Xgp 5v "` gX gf 5` 5T "i X ©X P ´v 4¨ Ui X gf "f hv "i "T r |H 5 CI X5r Ur (rSR ©R hupi " töf©R gph C` tr"T "r p gF tv UR5 X tr gX |r h T ! u " |F X "F r5a tT gX "I©p 5` CTGP " H "F tT"F p "F Ue U ©R ©R t` 5` gp C 5HX

r p u Cc gs Ui CF"F UT tr 0R Ch "q gX gF CT ei gs gpP tH th ©p XUi 5a gX ²i§ F4h X "I 5a |H gX X gs 5r bi X p v Ur SR gp GP "F %X"c g¼ F pUi 5 8"I ©R 5`y T X l

gs ei u tc p S¿ "B X ta gp " 0R "F "q C` "F tr CT 7p Uq Cr©R X t` 5rph X C` Cq 1E gT Ui X 4q 5r ©R "T C` eV "r oR tv gv gp P tH f h 5` gX r %H CI 5q oV gX "F C` tv"r h tv gp gp " tH CFph Ur "F1R gv&r ¼(P u0f Cc 5` gs gX Ui H gX tH Cr gh gX F p"F "F "e "I Uv "T ©R tT C`gp tr ( (h gu v Ui | gX "i yP p |I r p u Cc gs GF ©R "H CF Yr GV gX tH gh eF ! ©p bi p ¸ bioR Uv p ©R "r ½T CF Cq "I tr h|H q 5r "u SR i ©X H P oV U "F oR tv v Ch ©X gf oi "i µH P í¨ 5r5` SRX 5r&i (X ©R §v C` gX"r CTtv gpgs tHbi yhp tTg¼ gp Ui t5 p ©R r T xq gu ! P ¶ tqt gp7p 5r § (X Cr¤tv gXDCxp # 5` j CX XgB5 ta ©R"s p QT5 h gX hq ríT

(B T A@ 4 )2 ! V UP R ) )9 80 72 QP I "6 54 32 10 R ) (' WV & I %$ WV I # "!

¸¢ ¸¢ ¦¸ © %9 4 ! ¢ ¸¢ © ¢ 3§ ¨ !

= F (x, m)/m

! o

u

5qCs "T "r rX gp oe

©R %T C`gp "r tH tvph "i P gX ""I "T t UT gp (Pp 0ftr gh5` SR ¹ {P !T eB ¯r"f "F gX tH gh CT 5q gX tT (R5q gXtv h C` ©p "r gX tr ChC` gX"r tF Ch gX CT eVgX5a oR"T "F f htT 7pgp gI "u P gT UP

""f tH "FyhF tT ¥§ ©p bi¼tP ©p c"u ¡4P "` q CF c r er ¡ gsGF (r di ©p"u u biH tc gh gp %H "F Cv 5q gX 5` g gF ei oR pv gf "T 5q gF gX i "` ¨ F Ua Cr ©R ©X C` P tr X (h Ur v oR § 4v q r gXtF íh yH or 5r gfQX bi ©p öf h¸P Cs p "r "ICF 5`Uq RX 5r "cX 1q"I C` "! "ro tvgF gp bi tHp §h § p "I gs "T Ui UT ©X 0R 5P 5q q UTgf "i0R ´P"q gF Cs ei Ur (R ©R Uv T ©R c 4T ©X "I eP |H ©R 5rWT ! t gp "F "e F 5c gX tH (h v Y 5 Ch X g ©R YT f h &r o¼ gf bi ©p Ui tv gp tH "F h "F bB "e " ¶ "v "F 5q T tTgX xup C` "rq U ¨ tv©R gp 5`5q tH C(X h tv gp t` 7ptH h Cr b gX gh CT UT UqSR ©R ei t`R gp 8 "f T 8B "F T tT ¼eB p r"u 5` 5r gX oX 5H ! X gT X Ui 5a X gX q 5` "TX 5rgF X "i tv WP gp ¸T5 YrCv r §u b {A t 7p ©X Cr P gX¨ "` "FH tT q7p r gF gp Xt(R p v rq eP q GV©R YT "I GV "T gX"I tT CT"T gp gs tT gpbi gu ©p ( Ui P gu gX 5r Ui H ¯X

gv "TX "c X5 ei 0R gXC`

C` "r tv gp tH h ´q F Cr f X h xr &r 5q U¼ ! 0R YP "f "F tT p 5 Uih &r gX o¼ xH gf h5i Cq tr"I h |H 5 X ©R 4F T ! Cs 5q tr gXCh gXC` "rCT CB "` p UBF 1rUa ©R ! C` "I tr hgT vUi i gX 5q 5` gX X C`5r "rX tvv gp ! tH tq ©p REei "u 5q TgX "H h CF tP Uc ©R Y` "F "F "e (v P GV {F f "I 5` GVgT gX P "IH 0X "T GVt UT ©p CI0R oi 5q gXU` X 1R CT gv 5r 7r (P CX or0f X tu5` %h h gX XH dR gp Cv "F 5q tT gX gp 5` g ©R gF T ei Uc oR Yq "q UFSR ©R P gXC` tr"F 5h t` ©R gp ! H f 5q h! gX "r GV C` gF "r"I P tv"T X gp UT 5q tHSR gX

WV YV & V ¢ I V E
©¨ ¡

"F F "a t` gp T r tP "q c F ¡ qt ícph oV"I "FC` gT"r bPtv gX CT 5r CX X hh X 5a gX 5r©p P SR i X 5r "I X C` "r "F tv tv gp gstv5r gp Xbi ptHtr h5h"r b ©RCF gh Cq UT tr SR 5h ei (Xq R X¨ !%q p gp " "T Uv gF #R "i ¨E 4P gB h©p bi p "f "F tT p 5q U X ©R gv 5` "fWr "F oV tT F p (a U"u ©R g` 5` P C 5qX q xFgu 5q bP Cq Xgp gX gvp` "` (P Hgf f "i 5`xF yPgX S¶ YH p c5q gp gX 5q"F "` (X tT |F gpgv gr gTP 5` fbP gX gp5` §T t`gX h H Wv5a gX "T t 5T p gX § tF gh ¼ t` Cu gp Cq tH tT ©RH gp T t`X gp5aöf hX§H "rCv gp tF5r }TChgX gX 5` C` CT(X 4h P "` H GV C¼ "I GVCs gT tr "I ChtP "T cgX UT¡ "T SR q H cP

tr tr 5r

bi"FtH 5T tHgp X 0 gXgX C f X Fg` "I "F"F t xu t hgh 7p {X "uYv 5v

ChhtT gX©p ¥ Hi %` H Y gX tF h h " CF ¥ r %X WV S h CI q 8B T oVUB rF gT"H CFP Xr "c5` gX F H ¥ UT S eP oR v ¥ QP « )I H "T UT R õ "e©p Uvoi ©R xF C` Cq tr gX h "` v H ptT gptr ChgT gX bP gpCT "qt` htF h E Cr ©X P X Ur (R trgF Pp gr Cq "F 5rCr gT CXgX bP X "T ©p &h gF bi hh gXCrX gXCT5q C`gsX íh"rbi ptv ePgp"r ©R tFtH hhT "fF "F GV "e v"I gu "T bP 5 p X ¿q

vi

!

¸¢ ¦ ¤ ( ¢ ) § 1! !

§ ¢¸ ¦¥ ¤¸ ¢¡


"F

q c Tq qc cq Hv
¦

5r "r ! e f$

5q C 5r h`

tv C` pq Ch "q gX 5RtP "IgX gp i

"V7p

r

5r C`

| bP CF 0RUi F PWX GV ` "F (R U¼ 5` "r tT gr gp 5r Uq bi

!

5` gp oP Ur1RCh 5`UR G "u|F tH |F {¨&r UiGt "u Ur UR gs5q rX "I ! gpUv "uv 5a P yH "f t oV
¦

U ! gX ¶"I ©R b h be bi gX U " h

"T ¶ ©R

!5 "` tv E©R "r tB§a X tT 5i p

pT 55p ©X bP q Xr SR Ui©R Uv X Uf5 ©Rr gp "u©R C §Foi 0X 5 ©X X X ©X0R "r5p gX` #RWa X²F p1RY` 5pH5` (R "V "H ¯F Ui X R"` H

H

5 X "uGP g¼ gr r gpUF "T"u 0X "u GV 0f YH 5` "T43 UT21 CBX p5r CXCs or5 gr C "F X è tv

yr UH UidR ©RC` UTUH 0RdR UH CIdR gX"F %0 X SR ta p eB X µr ¨ ©R"f "c F gp "` tH hH v `T P

d¶ p Cr5p I&gX0R tr Uv tr p Ch tT %v X 49 "F "u SRgp G` H C` 5` C "F(r gf tH gh Cv 5r r5q CX

µF gX CI5

p pT Ch gX5 7XT r ©R gX 1¤bi|F p ¸r Ur }¡|I0R t"` gp ¾H 5 CX 5I 5 tH©R C p0R X 5q CI X 5q Ccgr X gs "F 5 ©F ! 8B g` WP "i P GV gX "I }H "T (R 5r CX 5 ©R 7p! tr 5r5p ©R§R U` t U¼1R v 5 7X "T CI UTUr SRR 5P p§` Ur xv dR Yc SR P §¦ ¥¤ gF ¨r oPF CF 5T tq X gp 5v ©Xbi tc gF gp "i t` WP gp & "F gf p f "F 5r C` gh tT

"FCI ©p UTbi 7oP §F"! ghWq f h µF S¶²E gT öB r UR§u 5p dr Uvtv p (Rh Cv CF X r XgX "q ©¨ "Tq gp R 4T

XR "r5 ©Rtv gXd Cr XH X v 5r 5I ©R o tT U¼ P ©R 0X X 5I wq ( "r 7p "F Cr gX ©Xei u Ui tc UH f dR h dc |u C` Cr "r (X tv t` ¤5r gp X %H gp 5F t` CX gp C "Igp %T C` "r "F

"` gp CIUa ¡ gp ¶ "f WX tv Cv

%` H Y %X WV S

gf "i ©R|F 98 hX hq gXCs tr ©R {T 5 oV 5q F Uv"f oR"F q|fGV gr 98 f$ p 7p h Uv oR ©p©R 5 gX "F gX Ui "F "b |f p P r

§P CF T ©R )( '& SRC` "F ©R Cv C` 5q "`Ch tFgX (h CT §5` GR g (¼ ôv tT p ! 5qF"T !gX 5 gr )( gp & "F 5e "` v ! pWT ¥ CT gs oi gT eP "u gX "e 5H F ©X 5c hX gp ©X C`gf Ui Wq

"r U eiA$ ©Rtvx gXtr 7p 5` "v gs xF bi gu "f gFgI ©X eioi 5`X XC`5q ( %$ gX H "` 1R r 5q tF C` r P gX "i gX P X

©R T "Tgp 28 tH!(` gCr gX gF qp Ur bP "F ©p tT Ui(R U gX WvR "r"rgX "Htv5` |uxH 9( r ¡ "F Cs "H Ur 5p tH h h oV Yq H X 5a"f "r p

"F ` "l bB gr q F 0 © ¥ P( ©R fH U` R öf V h tr UT bRgF "a Gi 5` 5I "Ir "I "T U¼ "T UT ©R UT SR (H SR P Cu yX 5q {q gX g` " eP "( 4$ E9 YF }h "F "F H"r "F " tT "F7p §H 1X 5 e gX R CT o X Uv Cc oR gs v Ui §FgX CI Ur R 5 ©R UT SR 7X P r Cs gp u Cc gs Ui gX q ©R UT 5R "r gp tv tH gp ¯h tH h "F Yi "T X

tv &H

X 5 tr Cq h

X"F

o CF b gp b gp

CF tr "r Ch tvgX 8p CT 5ngs u "cE ©¶ F f hgf C` tr h 7q p ( gu Ui gX

C bi Xp "itr 5p P 0R t gp H C¼

CI 5r CX 5 ©R ` ¡ pp §uh X ½ ¸h p "I tr "e h gF 7p Ui r 5 ¸q 5R pfr Ur ¥5 2H x %( G$ ( 5 gX ` gu eiC` "r (R tvv gp tH "I h UT 0R"v 5q CF X tr Cc gh gs "F h0R 5q 5q ©X ©X bP oi ©p U bi R Ch gX ¸q H ©p CsoP Ur CF bi p Ch gXU ©RYH 5` "F C "`X "chH YF 5q Xp "r "I tv H 5q X "I Ur "e UR gF er Uigs 5 di UR u µrtc }¨ gp ` F9 g pq gF ei gp oR "F Wv Uv UR 5p {r ©R öf gu h bir h gp "F tH "` h tv h oi ©p U P R ´¨ q 5q trgX 5p C` 0R tr q7p # 95 98 7 7 15 $ "I (` gu bP q gp trT 5p ívR t "I gp ` ` gu gpbP gpT 5e gs gX "` ¯H 0R gq ¯P q f h &r RCF r 0 0Vt` ©pCu gqP X YP h u SR Uc öP ©R 5a t` gX §h ©R ( gu bi xh xq X gv bP gp ` vp "F { "Itv h"T|f gp tT r "gp gp gF C` Pgu Wq X Ui tr XgX 7p qH %r ! 5q 7X©R "F C` tTr "r ©pp tv ubi gp Cc©p tHgs bP %h gp gX"` X ´X X µF Ur ¨ gf E öf h p u bP tr gp h UR "u tr % tq CF Ch Cr gX q p"F Cc u gs TgX gh tr (F (h ` Cv (X h gp F tv gp

gpCF Cq t` |ICI "r r X gs bi gp

H q u( gs Ui e h

Ui ©¶ p Uigp tv 5q gX

tH5H 5a gh tr h tr tH p yT C` "r

"H "F "e "T r1R gp gp gr5e tT gX5` 7p yX"` gXt` p tH"r gh Uv q 5q qCBX p"c GV "F 8p F tI5n ¯h©R C 5TpX 5 68 p& SR tP 5c X 5r"I ©R"` gBU`Cv ©RCs "` p 5e GH Ur gX 0Rgp "` 5q"F U¼ 0R q Fp "I tr "Tp f h tr p gXgu Cr oiC` gX "rtF C`Wh tv gp "i 5v p gTCc 5`gX ! tv 5T tq "T p &r Cu ©R" §P "Tt gs Ui "v P "F gX URp tr"r ¼ tH h g¶

©X"T "I gFUi tH gh XgX gT YhX v tr GV CI

X 5a gX "T tT §q gp X 5a gu (X Ui F gp %T "F ghP X ´F gp T 8 5qy "F Wq SR|f P r gX gp p § tu Uh ! "r F t h ´¨ ôB

gh P 5 r "r "p Uv "f ©R UT |H ©R Cr (` (X V xv X h gX "TgX "T 5I C 5I C`5r tr©R h U` ©R CI Hfq ªh "F Cv ¢ 5r CX ± 5 ¥ ©R 5`&¤ C ¸¢ 4X c7p r 5qgp gX t` C`gp "r H tv dRgp c tH t 4h "c F "F "F |F "e 5r (v (R bP "I X op X 5q gf 5q gX 5igX 5` Uq 5` g 5R g gF tr gF ei5h ei oRdR (R cWv v S¶ gF oV"F oi F"F F 5` § X "I"u "r gp "F ´c v 5I gu "f ( bP "F"u gp tTC` %` ©p r 4 bi "F gh "` P"F H0X 5V p CI {q q |I ©R r gf Tp "i Cr 68 gF # r {P 65 gp B5 íT t gp A@ wv 5 49 CX !5 "F5 68 "F©R & UeY` A$ ©R " §q t` " gp G A$ 5H 05I X x¢ p 5q± gX ¥ tT Ch&¤ §X ¸¢ ©R U¡ YT 1SF ! 1 (R tv h tv §h gT P " X F F § "u ¨§ tv7X p Cr §r gX Höf h "F "r "` tF Ch§H h IH GF TD B p tr h tv p "r 5T (X xv q "F "e C` "r tv gp tH h gpoB ©R"F Uv"H R CF rE "BX 5a" gX 5`©h bPC gp X "`"c ôHF ! 8 Cr y X Uc l ©R gX5` CgT XP X "r ¨ "T bB 5v ©¶ ©X (V Ui "f X "F q "e Cp F gX 5c CTgX gstH hbi pv W"r "F GV 5` Uc" ei©R t (R gp` ív "T gp gF WT5 i gX¾¨ (R "T "v tT Cr gF 7p ©X P r P X gp X tr C`Ur 7p 5q(R r gXv 5` R gp ©R "r gX " "r 0R gF oR ©R bi "r |H gT yp P tr r X W |f dR"f tT ( "r u "`hF gf C` t 5h F gXT µq h ¨ gX gsr X 5q gX CF RF gX gF trUF 7p©R5 7X c§r "T ¡ trtTq "T YH "T 5 5G ©R "F T "e & DC H gp "` |u b T B c gp 5 tHgX GH B "I UUq 5R tr©R gX ©R ` Ur g ©R gF 5H ! tv 5tv Cp p " tT h gXxH gp "e l "r tcyq "F GV oV "I"F X "fCF "F gp "` (X Cv yq Y p p gT§T tP %q gF oi UT5H 5` (X tr qp gp§ f U ©R c ¡ "F §X F "q X %v tqp 5h "F X "etr 5` C q Fc "a 5a ei gX X yc"F 5c©R "c bV t` p gp CT UvWT gs 7p 5 gp 7X tH ¸F h T q Y C` ½T p 5r 0f"c v (R "H "F "f "F "F tv "I "F r 1H 5"v "F r "e tT tv©p X ¨ U¡C XCs gutv5v C`tv p"r u ! P Cc o ! gp"u¶ 5 "u ©X UH gX f CT 5`"F ! Xgr "F gT "I Ui gT |f Pr gp tH 5rUi p "i CT|T GV 5q gp bi "`©p

!©p bi"F tr ² Ch gpg F ` &r tv "` gp gp gF gs X Ui Uc gX oR tv §vgp "FC` rUv oP dR UT%c 5r &r X X (v Cr gu íq Uv UR ! gXCT gs 5H {Xr gIgp UiC` gXSR ¯h ©X gp "IP R p"F "I 5qCF
5HWi r "T bi¡ "HCT 5` bP Xgp

5 "r gX tF CT ¥ gs "F´X5 "F pP h UT tH 5` gh X ©X CI ´r C` 1v Cr tr X GV 0R q"I rgpbP ©¨ gX ! gT GPp "r q gX "i H P "F Ue 5q P gX C` q gp 5q (©R "r "` gF H gXr tT g¶ v"` tH gf 5h

gX§ "I ©R tr 5R tv ©p gp § gu` gXgX "i 5v Wh X Ch "I GV CT p h Cr bB ¶ X "r C` p p Ui5a P(R GV X "i ©R P h`

5v F tv h X eHC` "f

t

UT S

"T X|H "r bi tH p df !"r r "I gs rX p5a

tr 5h ©R 5r ©X SR Ui 8p 5n ta gp §"f 5h "F tT "T ©pUr tr "ftv gp "FX 5a bi ptT UrgX dR "T

hT i X q }` C X 5 "F 5q tT X ©R T tTtH Qh p pX 5q U gX dRbi ocgh Wc " CF öf tr

©R µT {¨ "I rC` gX "F "T p gv U(P µq ¨ U "I ©R t` ©R |T 5` f"F C t h gh tr pgF

"r "I gp "F tT F ©R g¼ 5`7p Cr Wr Xgp µT "c

5R tv CT "e 0f 7p 5`5` C 5r Xp gp t` uei Cc R

"`C GP tT ©p r (R tT tv 7p h C` gr F X r tT tv 7p "I h gu gXH X©p r P "T ! (R P gv tv (P gXh 65 p& c 0§q GV)( | "I '& R P 5a C` gX r 5` (R"F Gh CI gB 5r tT U5r ©RX 5` §¦ t` 7p 5a X "I C` c "r gp p yh dR c t S¶ tr h gs"r {h p8p "FC XT t gX v hH "c "F ¥ TT gX H X }v F X q ¸¢ X gp öf gX F ` § FT

gF 5 X 7X¸ r F P gr gXUi ©R ôHr Y`µq í¨ SRedR vtH "F " ©¨ X 5r tHtr tvbB tH bi r 5c gp CgX X Ui "coR F "f ¨ 7H gsgp UiW`

" p "F 8Br C 5p "s "F |F5q H 5r gF 5q eV"i (X !7 ©! ( X "u 5vp h! pgF i ¥¤ X r tq 5h ¥ t p "r 5n¥ tH (h "fC` 5qF gX H Cr gX ¥ "F tT gp ¥ 7p 0h Cr oV gX "f tH gh"F

« S ¡ h© h« ¬ m U¼ ©R


ob U"



RH

"F X 8c ( H "r gpgX

gp tH p tr Cs "v Ur "F0R hHq gX eP oR"` v%H GV5 gs |I bi pr "r qgp "F ©R tT C`©p " Uf eP ©R oR 5` v X

h c CI {A q q or Uf "p bi "Fgf©p bi GP ©p©R 5r"r r tv(X gp gv"I

qe ªgX §T © Cr 1©R "`& v T tc gp ´T I GP CI B µq !tH "T h tB tT sH aHp 5q B "r

7X Cr gX "T gF d gX 7X H ¯r Cr X Ua"I (¹hv © ©R C` ·F "r tT ± gp w¨ 5q 5q X X gv gv (P (P 0f (X gv (P²¢ 0f 5` © gX CI q UR ôh tr (h!
GF TD CB

RUi 5` gX X H 5r (Xh r 8v ¸ e &¡ 5r {X f 5` 5` gX gX YH ´H ©R Hp 5q ©X©X bibi gh}h x¶tv p "r ¹ 5T X

p "I ! "T"I §W t`"T 7p tT5¦ ©p (r4¤ oPCuW gqU |F f h5r &rUR Ur U¼ ©R 0R "T "q gF §F ©R T T "c "c CF CF "q "q "F "F "` "` v "F Cr x X tq gp ¸¤ & &¡ g¼ gF Qv oi F 'H ± yj &¥ µi 4¨

yR P¸¢ VU ôj f©0 bB h ¸T g¶ &r 0P t5` ©p CX biX Ch v voi v¶ 5 "I gXCr (` gX5` Cu &¸ "f0H "F UT & p0R

¼ "u "` 0` "¤ ! § ¸¢ S¤ UH UR ¯hgX "` wH |F XCT "r 5r"r v X tT "u 7p¯v C` 5q"q | ©X gF & bi ei h oR

|F gr tF (h 5v 4¤ ¥T ¥Y ¸X ' r µ f¨ "f 5rr poR Ur "v dR 5 c X eVtr h SR bi p ©p "I Cr©pr tiX tq e gp Uv ¤ ©R T "I (` "I

gX "` "H UH }R "F C` UT tr 0R 7p 5q gX5r ¯r p "I f h5` &rX 5r bP gp"T q "`t gp´HGV "T "I 7q gF gu |H bP g¼ gp5r oi SR5e v gXhi

D GF "6 )U! WP T 2 FR I T QP " WI !

©R"` U`CF5q ©R"rX Hgvtv p U¼ (X R ©v U! ©R u Ui 7X "r 0f "T ! UT ©R SR C` eP "r "` Wq ©R H C` Cp "rP gX 0X tv

gp(P tr f `©p 5` gu P gX bP ` QP eCI Xi}q "` H Uv dR tvc gp ! tH 8 h 5V"T gp UT qtH SR Wh ©R eP

gp}H X 5a 5e eV X gX ©R 5q "` "T "F gv "f P "F f UT (R v u y CF pl tr 5h 5v ©R §TXdR 5ac &r gX tr CTU¼ "p q©R

F " t` p q X H 5a gX 5 5` X gX r HW 5` 0R gX 5q HX Uc p ©R 5`"I QP e i IH r gX C` tr 5 h gX 5qCT gX (Hgf "I bi Cu t` ©p trgp GP Ch "` gXCI tH ©Hq gp

Uq Cr©R SR ©XT eP P dR "TC X tT gp p "` gs gpt` ei 7p"F©R UTCrC` 0R ! T "F "F tv"f §v h "F

"v 5 X ír t ©p tr !7p gX ¾r CT gs yj bi ©pi "u p U` Cq ©R tr 5T gh & UT ©R 5q X Uc ©R 5` C X oB TtT gp eV ´e SR biq ©p rbP d tT "©X p CF"i U Ur P ©R 1RgX 5` ¯HCr C X X
ED

Pbi 5rp Xh C` ©R tr h` gp ©R"` HT gp¡ "`oP HF CrCr c gXUq Rè`
E

t|u p Cr ! e "F !7©R 5v

5 & 43 21 %0 ¦

X g` § eP gX C`

"utq 0R gp tv"q p tv Wr g¼gp oigT 5 vbP (X gp "v f tr h oV UF ! oi 5q U

h tr 5p 0R t` tT h gp 5e F WX 7X R (r §qu

f"q UF h 0R tr tq q§ öf h ©R"f tr g`"F op

"p gh gf "F 5i "` ePtT gf poR bi v gh"

oq "F WH xf FCpCI gXWq ¥ "FUR UrtT 1Rh gr gf

5` X &¤ 5r %¢ 5` "i "f yX 5P "F !hq tT

X gp ov "fgT ! "F bP X gpUT |u X Cr 5a X gX r

ta 0Rgp 5qgT X gT 5 t` P gX h 0X H u

bP Uc gp ©R t` 5`hh C V gh Fp pF h "u h "f

WV T C! 330 8 ) "6 A! I ¸T I T QP " WI !

X gp "` WH gp oV 5e F gX "` 5r (` "FCu "rtT gp (v

WX eV eV ©R ©R "e 5e "F ("u H gu C` Uitr hgX ôB H oV

tB © F "T Ui (a gF X "u bPtr g` ph &P Yqq (¼ gf "u "i "T WP t` 7p f Cr h

tB sH GH xB GF TD CB UR "f "F UT 0R q CI "c pF" "F "f tT "F gp UT 5R ©R "r gX Ur gTR P yX gX &r|T rt¼ 7p

tr (X v T "r "F c or 5T u©X oi Cv 5r "I WFgf d "i ©X YPöf "i h Pr gX "I h tv p "r 5T gp"F t §h"F tT 1R gp r gr p F Ur CI dR "F hq c §v



W¡ Cu xX "T Cp"F gX " o¼ íH gT"f PgT "I X

5q ©X bi "T gF " bi pCF bP g` "a gp eP "F t` yR "`h
BA

E

hq Hr mu

"r tr §H &r 1 (R 5atH CF ¸¨
)( "2 '

ìF 98 x ¹ ! X "u "r¥ "T © ¤ "F ! "`¢ Cs ! b Rgp 5e 5q gX ©R "` ` WH U ©Röf (X h C` Yv r "r tv U¼gF gp oR oi CB 5 CF p 5q Cq ©X tr Ui p CI X q q Ua

! U¡ CF f trh 1 7p gX Yq C` "r X F h 74 "H A@ dRtv h Wc "u "c UH gp GV ` "I CI

¹ 5r tvCv Ur 98 dR "T tr F tT

dR 5rhc ©R U¼ R W t gp gs ! tH Ui 1 yh X 76 54 2 c "u ! ¸4 p ©p 5i öB Uq

"H hgu {rgp t`©¨ öf "H r
§1

%@ ! P &% 6 "6 V P ¢ ) % $# WV 0 $ cI ! WX YV ©2 "! WI "! 8$ ¸V I T QP " WI !

CF tvp w` ©R 5R5¢ CF tr ¥¢ o 5R 5 tr

r gX "T " F 5a ©X ei ©R UT R öf "u bP CI ©pUH 5r dRbi CX cSh 5 ! ©R" te `¥4 gp 1 1R5T 62 X gr0 Uv §F yR ©R t C` gj gp tr p h "r tr UH 5p SR ©R eP "` R 5F gr Uc §F ©R {` t gp C` x` tr h §¦ tv I¤|u p Cr"rUR X "r5T r Xtv 8p%v 5n gX ` C H gu X bP r "fgp p "F5e gXUT" !1 32 0 gF oi F 1 ¨ 0¢ %¨ ¦ CX©h o bP "ugp C`"` r¨H Y ! 5qGV gX "I "H "T CF UT %r SR ´P GV

h r ¡ bP p 7pSB ©8 5r f$ ©R )( '&U` 7pX ` r 5r µX ©R ¨ 5a U` gX ¸¢©R "`0R t qgpWH Uc CT ©R oV gs T "I ¤"F CT Cv g¶ 5q 5r "ugX CX

q 0 "@ &¸ F y 98 8 ©R 9$ H 28 ©p ! oP ¥5 CF H q %(q G$ "fq( "F q tT p ¢ YH"T 5T X 5r 5v X ©X r YUi X (X q ( Uv 0V©R Cu gT gq P §P#X ¤ F¤ 52 "# ¸ ¸¤ gp C` tr 7p 5r "F ei TSR7p P Crt gpgX CT"` §q§B5v !"f 0R X"F 5q "r tT X p c ! UCI Cs ©Rq "r tT5` 5 XCh ©R %X"r 5` "H C V "FX ¡ "` ` 1R tv CIhr ©ptr0p gp VP Q¨ h o 5vGV"u ©X C` "I

|¹ ! & {¹ 5q gX 5¤ ©¤ 02 "# ¥¤ 7 gp UF U ©R ©R ( 5` gu C bi X ¸h "c ppF "I ©R ©R! ¶ U` e ©R bR H (a gu Cr eP gX R CT ¿ gs h 7pCF tr gr 7p 5` 5r yX dR hq yc qtr p tr5` C 7p X 5r "c ©R YF U` ©RX 5a´H 7X gX Ui "T Y UT SR©R PtT p "F U Cv ©R 5r 5` CX

gu ei r"F

§T

5`

"H CF 4r " "F tT "H CX CF fr Uc ©R r Y` gp "F "F R©R d "F 5q ©X te ©R i gp ` tH0 5a h ©B gX "FbP ©p"e i(v gu bPtB gptB sH H5p 0R fq h CI tr Ur"p R gf 5 C 5 X ©R "c 5` WF C ½X gX "T tI

p U ©R 5` C X tT "` gp %H ©R öf Th Uc tr ©Rp C`98 q f$"r UT S( tv &0R gp 5q A$tH gX hx x` 28 gp ` aH B GF"I TD UH B UR r UR tr bi ©R ©p 5` bP Cgp X "` 5H SR X oi " h CF h Urgp 1R 5e gXr 0p"` V H

"c F (R Cv 5r CX 5gB ©R"@ 5` &¸ fTu Cc gs r Ui "I gX CT tH gs gh bi §F p "rX "! 5 2H x %( %$ ( gp (` gq "F F UT R U gh dR "Fc H p x " B Uv p(h tv |Ip "rgr 5T gF X P v 0X V oP C UT X GVU R "I q "T 0 UT © SR )( ¯P | & "H h dR DA pcCB |A &r CB U¼ gh ©R 7F t p¿ p Cq yR


"rC gugF gp1R GF (R

E

X PP URr rhr vT 5r jXE P X qc ve


GV8B CF "I tr tr p o öf Fh 5c tr

CB "TCh gXUT SR"T 7X yr gX 5p tH0R (h

p WPH q v tI5q

" "F 4T "u"u 5v Cv X gX g` eP Y gh "F"F UHtT

gr 5r 5q CX X dR7poR c v

"F C` 5h ©R t C¼ r gp Cs

5r 7X 5` p C h Cs tr C` tr YqCh

r WX q gX CFCh CT trgX

h 5h ©R Cs "F Ur "F 0R gs Ch CT bi gX gs

W` 5q"e (v gX p T biUr Uc p

QF "`gu bP 0R ©R Ur 5q §`0R

|I r F gp "c ` CF ©X 5q bPgs ©X ©p ei bP

¼ "u 5` X 5r (X "v "! G Ur gf 1R "i Cr P X Cr gI Uq oP R 8BUT 1R "Ftr 5p "FCr bi gu ©p Ch P bigX 7X Ch WH grgX !HUf ©R "F 5 "T|v X tT grr ©p

5I ( "u C` tR X 5a v 7X 5 Cr gX ² "e Gh v pgu ©p bP "F oP tT U h yR p "j

r x gX gT hH P 1¸X eigp R Y` õ 5 "I 8B "T tT 5©p

7p gp r ¥¦ SB 7X 8 X ei 5q 1R

0p SRV h P 5r ¥¤ R 1 %h 5 E# gX gr 5` "F

p&

gX q §H ©R v tT p¡ p U ©Rgf `bP p CI ¥¢ ©¨ §¦ ¥¤ ¸¢ ¡ SR "f "F tT gp gT Ui gX H %( G$ q( " "F tT p g "T gF |F ei Qr(R v gI gp tP "F tc Uvp 5Rq

q "F Cv 5r oPtq 0h UT !1R " Cr "FX UCI Wq ©R 5`gf C "i X ríc UR Cr "r gX tv C` 8p

tTCX ©p 5 GP©R 5` g¼ C P Sv e ! R Cr o X "u "r "c 5n tv |FC gp §X e¶ tH 5a h ©R

hX (R "v gF P UcUi 5©R ©R 5` §TC wX "F ©X C` ei r UR W Ur (R öf µvh ¨ C` X "rWh tv GVgp tH "I h

5 X gX tr T 7p 5Yr Cs gr Ur "F (R Uv tv R 5` X X 5v 5r 5a X X ©X gh

gX f gT h h E"u UH dR v P "F tH "F U h "F(R


BIAS

LN

LPK

OBJ

Compute an average row, RON

-= BIAS Corr. bad cols.

-= BIAS Corr. bad cols.

-= BIAS Corr. bad cols.

Expand to original size ->BIAS.bdf

Search orders (Hough trans.) ->back.tbl order.tbl

Extract spect. linearly in e_*.bdf

Fit and subtract background, clean cosmics

Fit and subtract background

Search and identify lines ->line.tbl

Extract spect. linear/optimal ->e_*.bdf

Extract spect. linearly in e_*.bdf

Disp. relation P3 (x,m) is line,COEF

use master balance as a flatfield: /=CORRECT

Average AFLATs into BLAZE

Fit orders by P5 (x) in AFLAT.bdf

Correct blaze: /= BLAZE rebin in 0.25A ->re_*.bdf

Average groups of balances & profiles stored in LNTAB

Make balance spectrum: *_bal = e_*/AFLAT

Merge orders ->a_*.bdf Fit ratio ref / a_* by splines 9 ->RESPONSE
if OBJ=STD

Make profile image:
I(y) /= AFLAT(y) m m

Spectrophot. correction: a_*=a_* x RESPONSE

§B ¶ |f "I (R grUT "v SR§F 5 P ©X tr 5ptP Cr c©R X ¡ ` xr q "a c gqF "F tr `p Cu % Cq gs tr r Ui h gX"I(r W`"Ttu gh "T GV "FF "I"` U 5`{H ´R X gF5r 9 (Xbi öB hv e p bR 4¨ gq (a ! gu gF "F eP oi "FR F "e ¿ ¸v GV gu R "I bP "T5qgp ©RUT h` SR ` 5q5a{P XgX UrGVC` UR "r "I dr tv "T gs gp 5 ei tH
¡

"f "F X u h 5qtc gpgXGV

tT p U 5`` "I g "T5q gF UT©X

©R 5` C ei SR oi oR PU Wv

R X Yq "c hF T ¡ X "F 5q "F ©X "e oi (v U

5agr 7X WF r "f 5p gu R bP gpWq `

0R q ©R 1R"F tT UT

CI Ur 7pr 0R0p gr 5qV

R 5 ©R F hX Uc p Uf ©R

5` 5` C C X X R "I "T ¨§ UT &

X ta 0R C©X 5q F oigX

CF p Uq § ©R "u DA "` CB tFoA (h CB

tv p r "v"` gh HxF 7F ¿q
¥


U 5 o U o

"p "f "r

gr CB X "F

tr gP 0RGP gh gp¨

v Hu q Hr c T §F u iF i ` qf qq ` T H P

gX h §qr gX"T

v©R 5` H CF &r ´` ¸Ptr "e gX bP8¢



gX X q

b gB e e! U U

W p5h (PC` dr pH©R

(R tH Ue

R"e 5p 5

b B H x± &¥ 0H G b5aX

gX "` H gp "F tT p 5 b trCp p ( Cq "u 5r C` CX r X h gX CT%F "H (q (H "u "u w ` }a CF tr oV Ch CF gX r Cs¯F r "r gp "F"F "F §v( tT up "c ©X d ìF "i©X PUi Wh (Ht` trgp "u 5p %H ` SR a ©peP |F©Rbi ChCHgr gX5q F X or X "r uh ¨ "!4h 5 F5q "F gX "F C`or "e "r u "I5 gs "e bi p"F "r"T CFgF Cq bP tr´p h "F t¼"F 7p "e grtv gpµF ¨ "` 5` (X 5 5R &r tr p o¼ h "f UT "I ©R g` (` eP V oR X ©Rq C` öf "r h tv r gp o¼tH ´h "f UT "F ©R o "F "T "F "` xH ! t yRe ©p (R #j bP "v gp gB T "` ¡q 5H¡ oXgp©R !`"` a oRv § tr p 7p gr F WF # CI5q©R UrgX "` ©R C` pv "T"r ©RgFtv gpTP tH5` íh CrCX SR(RgX gveP"` dR(P|F §c 0f 7r !5` or gX 5 tu QHgX h "T oV (X "F |v tv !h gp©R "5T yX|F r 4q Ch gpgu CIP "` q 5Ht 7p{X & wr 5T H X " "F¡ X 5q & X gv (P f& 5` & gX ¯¤ H e "f p1R "F Ch Cr UTgX gX 0R H "T "q gFf§F 0h Ui toV gX ©p F ¾H

U ©R 5` C X "c tr h p q "c F "T í t`t 7pgp "F 5CrC` gXgX(r %TCT"u C¼ gXgX gs HH bi gp 5q gr egX F g` XwH Ch gs öf |Fh tr gr 5p "F SR 8BCXUi tvtv gp Qgp "` tH 5` h" (Xb "F ghív tv ©X(qx¢ "uUi¹ }(X & 5v CF¢X tr ©R vWv h ² gf F ( "i ! 8¢%P 5q |¹ 7X 5 gv o` (P V 0f X 5`h gX ¨H ©p bi UR p r h §"v "F§B §B gv ´h P f 5q 5` X gX gv §HbB Cr X h "v oV "F "v o` 4f XX rv & ¦¤ "F `CF "F"I r "T "`¡ gF rF bP"u gp H t` (X Yv "f "F UT tT 8B "f gp |F "F tT5r©R ©p(R T bigv4c gI U 1¡oP UT 1R !( § t gf 7p P r0X eV bi Ch CI gX "r "` tT H gp

F F öf h tr 5 gX 5` X 5r X Uq CT "H ©R q H t` "ugp "I `wT C` a tr ¨§eP p oRC 7p Xv gr híFs " t YT bi ©p gu {P P Xt 7pr 5v f CXh g&r F o¼ "f5 gT%X UT h SR5 gp X ei " UvR CF UR tr (ír gh 8B C¼Ch gX Cs "T tr t` Ch 7p gX Cr CT 7X ªT r p yj u iCc gs & ¢ p CI or !"r u UT CI 1R ¸"r gr tT 5r gptF X }H "f "FCF trUT Ch 0R gX q CT (P "f 0f |u"F 5` UT gr gX R 5` H yX ©p yF ¶ Cd yq § (q ©R tu hT tr 8l 5h "F B©R "F hCr "e 7X Uv5 Cr©RgX h ²¶p %h tI ChCuH ©XUr ©RUi U ©p SR bP eP gp ©R "` 5H 5H gX %X QH (P |F0f 5` 5r gX ©R H "T U Cr "I¹ X| "T v &"F " CI gF gF 5r oi bi CX "F©R CI "e(T Ur xF! 5R tvdr yq gpgs q5ei

gf 5i (q wf yj v SR oi U R q "F "I "F "e "e "F tv gpUT ©R"` §`5` gp tv 5 gp gX tH ·Th b gh "I UT "H SR gF "F {i "e (v f gu h bPtr gp5p R4` YrbP gp oB 5q t` ©RX h C`gvu "r(P CR tvf ! gp eV oV5R Ur"F UR tv drh gsgp ei" u CF T CTUrUB UqURpr ©Rtr oV¯h t` CFgp Xr T Uv ©R"q C`tF gh"r tTtv pgp "r tH Yh"T hF hUi Cr "qgX gX !tH gT gh r P gF p CX ! C § ¨X 5T 5vgX gX |H "` Cr "H X UH v R 5 gsCI "r bi "F p t "r h CF Cq 1R tr (r h gpUi X "Fv UT p 0R 5q"I gXCT "`5r C rCk U¼ %A R (R U gv©R C` }h tr (h "f v "F 4 tT p eV UR U gX 5T gF "T C PgFgX 5` Uig` CX gX ¸P X YH gpv & F5q ¸ ´H ( eV SR bi¢ ©p ¡ bP gI bP ©p bi hh tr SR 7p oi Cr tH gX fh ` 7m"F "F "B F |F r & "I H CT gs ei U ©R y p 5 yq ©R `"f "F eV tToR ©p |v bi 5r 5 Xu X tcr |v#p (R §¿! Cv 49YB tr !5 p 68h '&

&i ©R ¨» "u GR 5h Uf h 1R ©R"F X (¼ CT tr "u WXtr 5` Ur 5` gv gp( ¸¢ "f Ue !5"r ©p ` ! gp |f ¯v 8B (H ei tH oR f gX h tc Ur gp gTCF "F 5a h guxº CFtqgX hr qu CFX 5r ©R f 5R (X § "`¥¤ "p 49 C` 1R ©R &¤ oR bP (R 9$ gv

" " A$ 0

C` "r tv gp tH h "F Cv UF74 !9@ gpA8 76"e T4gF 2 Ui 5 5R UR gf "F "i 8B"e P "F(v guCvp ©p5qbP gpgXei SR`5` CT` {a Uf gs ©R Cs bi 5`"rp X "rgF 5r "Fbi (X ©p U` #v gpgF "FeP RtT p ¨§ ©X ©X oi Ui H r ¼ p u tr Cc gh gs tF Uih gX 5r tH X Ch gX hq "T tT 7p or r u gp e t` tv ¸ gp gB "` 5q 5` X (X "r v tv 8pgf "Tgs G¹ oiUT ¸ 0RxF 5q oR Cq gX tv gX "`h "` ©pF }H UaUi F ©p bi5q Ch (X gX gv H P f 5` ¨B 5r8 X yB tr ©5h ©R 5r 5 X (X 5v "F ¯ F 5 1R gX or"T u t` 7p p Cr "s©R "f 5"T "F (X CF UT 5v {q 0R X "q h F gF CI ¶ei C gX gs X µH ei "c¨ u YF tc 5v gp X gX ` 5a C` gX tr pq gTh (P(¼ T Cu0f Cq5` ©R trgX UT h H 0R tr 5q p "F gX Cq "F "`5r w¨ Wq f©R h C` tr "r p tv "u gp "` UT ©R C` tr h u gX "T gr68tv & gptF htHDC ´h#5v gX65 GV "`5 |I"H gp UH r yq &¥ öf h r ¡ o¼ ± "f gT8 "I"` 5H"e yX gF Ui gf 5 "i 5R P hr oV (P 0f 5` gX ´Hgp "e "u gF t` Ui 7p

A 5r CX 5 ©R 5` C r h 5 tv qgX p CT f"r 5q h 5T gX &r (X gFCI Ur ¯qei R (R ´FYv gu !gq bP" gp "F "` tT H©p gX F hH t gp p X hGT "r q G ô ei "f ©R "F T tT "a ©p tF 5i 5n"i H CP X g¼b ©p Ui eV Ui©X ©R ©R% " C` "F"F tr tvh"F Ch v"e ©X% "v ¥1 1 ¸T §1 # tT h H gp CI |utH qp gr tr 5`F {h X gXX 5a CT "I X Uq tTtv ©R ph t` gp gp c i w y xc e Uv ©R T "I P 0X ¸¤V gh &¡ ´F CX o X tv (h gp ! tT 5q gp X (H "F 1R C` gr "r tFtT (hgp 5v e F h Ua ©R "f C` "F tr tT (h "gF CFUi tr5 5h 5R ©R r W 1R p gr 5q "F gX UT tT dRCh Ui F gX §²¢ H R ¸ CI {q 5 gu 5 CrX5R gXrr x{T q |u


v{X Cr ¸ X #¢ Ur 5R( dr gs ¹ ei u 0R tc 5q gp ©X C` bi ! h ©R C`X "r5a Xtv gptq gp tH h& b g¼gh oiUT SRyv ei gp R "F tT 7p gp Cr ©RgX T` c m Uv tT o¼ Ch "fX UT tP©R c (` ¡ V q X c Gh eVG ©R tI C` gh "r UT tv SR gp ei tH R ph o fq t` p 8 tr 5hy 1R l r W CF tr gr Ch 1F gX gp CT Fgs bi § p "r(¼ CFCu o bi "F h "v §F (R ¶tv h5q X Ch gX"I 5`UT 0R 5q CI gX q "` tF Cr (h X "v tq xF p h 5q 5r dR WX c h gF¨ bi h öf p h r ! 5q o¼ (X "f gv gT (P bP 0fgp 5` UfUR tr p oR Wh Uv #R gp E "F bBtT ¶gp t xm p ryl 4i wq F 5v X 5q yj gX µi 5` ¨ g gF 5q eigX (R C` v "r tv Cs gp tr tH Ch h gX CT GV gs "I oi "T 5F 5` 5 gX ©RGP ! Tg¼ "F Ui CF gf5 5q ©Rbi ©X p YT bi h h "vUR u tr"F p H"F %h "` DA ©HoBX ta!( pS¶ %¥ h (vCk {q Cu oB r GV "I p "T (d UT §(uSR V {P p gp gp "F tT sT "F 7p "e r C¼(v gpCsgu trµT bP í¨ Ch gp gX ` |F "T 5r Uq"I C`R "r "ctv gp YF tH CFh b tr gh 5h UT©R SR ei gXR H rp p CI 5q X "I Uv ` UR "a r F Uv CI (R q v r |u "ICr XCT rgs 5 bi xXp "r l "F Ph hC` "r gp ¼tv "Fgp"u tT tHCT p Qh gs bi 5 GVp gX "r "ICT "F 5r"T X UT ©R 0R T 5q5I c gX{ "`&r ©X F (¼ Uaei gf ©RR 5i C` " Uq tr "F5R h tr5T v Ch gX} X {H h q gX "f CT 8 "F gs yUT bi 0R pfl q "r CI"FCF "rtr Ch oi gX H H gXCp (X"T tvt` Ch7p ©X gr oi "F H "` ´ %H Uv &r(R v t¼ 7p f gr h yFCs Ur 0¶ 0R 9 5q 65 X 5 Cc # gs Ui h gX "v tH xF gh yqYF oq (r tu u h 5a 7X gp (T "f "F tT ©p bi ©p P CI Ur UR dr gs ei u tc p ¨¿ gB 5q X "r tv 8p 5n C X 5q gX C` "r tv Crxu X q h o "v t` xFp tr yq 5h 1R oq tur Wh "f F "F tTSR gp oi ( U gu R Ui q gX WH r gp gf tT "i 7p YP gr öf &F h yhr po¼ "f " gT Uv bP 5R gp r q e }k r p |F § 5r 1R U¼ RCr gX U "T ©R gF C` Ui 5r gX X H! 7 f h 5 &r '& (¼ ¸1 "u 1 "` |FT 1 gr tF "F h "F 5v tT gX p "` U"H ©R UH 5`·R C " (R CF gv tr (P gh 0f CF 5` Ur gX 5R Htr Sh !|I "Fgr "F 5` "eyX Uv %q ©R C` "f tr "F (h tT v ©p § bi ©p xq tP gp Uc CF©R tr ` 5h ©R C¼ ( gs u bi gp oV fe F C Uq ©XpT ei 5R ©R "r %T tv yp gF oiyq xF q YCq gX X "` 5a H gX "Tb pU` 1R 5I g7r 5` or X tu 5a h gX "cgT FP X x f h gp tr "F 5p gv0R qeP SR gI öi eP a SR b Y © b h ¨§ ¨ ©p bi p Y oR tv h ©p Ui t gp "F "e "v (T xu q ¼ |u r "p |H 5r SR yi ©R C` "r tv gp tH Wh "F "F "e Uv ©R C` tr (h v Q CI Ur UR er gs di u tc p ¿ |f Cu&¸ gr tr YFh QF tr 5pCs ©Rq©Ur R( gX gu t H Ui Cp gX ©R "c{H g` {F eP C` (R "rtr hv "ptv gpgfX 5atHUi ¯hgXX qgT 5c P gX 0X "I HV "T gh UT XF 0R "r 5q Cs 7 gX tr ! "`Ch gXF "I Ua"T "T ©R t` gF C`7p bP tr rgp h Uc gXr R¡ "` Ch t "H ©X h UH Ui5r R xXpX p "l CF gp xBtr UT 5h ©RP( ©R x {` ¸ (¹ 5©p gX "I "TCr 5T XtT C ©p5q gX ©XoP g` Ubi P h©R pT f r h gX (r CI ªH "utq gpt` Cp(¼& "u g¼ "T oi tI tT YvCh ©p ©X bi 5 Uigh 7X gX "F r §H vp U ©R "f 5` "FC UTX "c0R "q{F gF 5v ei gX (R 5T Uv ©X ©RoB Ui©RT (X C` v "r"I tv|H t gp 5rp tH SRtr %h Ch i gX "F C`CT gv "r"q (P tvtF f gpgh 5` tHtT gX §hp H "r p "T Yq©p ´F ei "e R "f CF "Fõtr 5h íq F GV "r "I gF "T P UT0X SReV ©R7P T ! eVp (R " "v Uv 5 5R X wr {r & íq H GV CI U or f Cc 1¡ q ! !( |F ¹ |5r oR & gv SR (P oP 0f UT 5` §c {X ! ©R (V T gf bi Cs p tr h Ch "v gX "F oT H V t`hq p ©R5q gX5T yXH {q Uf oR "f gv "F eP tT SR gp i a ©R T Uv ´c oR v öf h fr h o¼ tr "pgf gfbi gh "I©X bi oPyhUH UT5R F 1Rr y |FCr (X CF5r %v(Rr | gv ©R (Pp C` h f "r 5` tv gX"B gp H49 tH !5 h |F 68 gr& t "F gpDC gT# "F bP65 "e p 5 Uv Ch ©R gp X C`xh"e tr gF gu h Ui Pv 5 í 5Rt r7p bP gp1r¸q t` gp ¥ xp "T ©R lgF 5T f& Cr h &gX &r CT & o¼gs "fbi pUT "r©R eV tF (` ©RCh V gX5` X XCT}h "r5r X5q"H (X"F gX gv "` {H (Ptv h0f "F ©p 5` tT PgX gp H qtH p "F¥ tr "Fh CIUe "r1R 5 UT gr {g 1R tF hgr ½F 5vtF hgX © 5v"` gX gX"H "` {HUH "H

Cq (R tr h t`Cq gXhtr h 5HUR tr Xh 55 ©RXX |T r "F©R tT h {r gX gp F tH h fht` h yjX "c oi 1R tv hr gfCF r v ©R (Vt` CIp h UT5p 0R0R 1R ©R r bi ©pgX"F bP yX gp q 4R "FUH RF


bi

bP Yv gs

CA A

"F tv &r 4h

"T ghgp tH

eUyB §RgX "I H "e e gp tI 5R T Ch r ©X yF 5r ²¡ fX f ! e SR ©R P 5T X yX tr

5R r "r §F t` ©p P X yh gp T gX "T ! yj %i "F Cv 5r CX 5 ©R 5` C yX h h gp 5e gX "` H tr 5p ©R "T |F Cr gX UH ©R T 5q gX C` "r tv gp tH h GV "I gT tP c ¡ q Yc "F Cv 5r CX 5 ©R WV YV ! P 2 7B 7QP )U! WP T )2 4 R "6 7YP ! I I UP R V "6 WP T Q2 "6 )U! WP T 2 R I T QP " WI !

§h oB X or "F UT gv gX (P "` f tF 5` (h gX Ui %h 5q ©p gX bP "` gp CIF "` orUa 5r %X h h 5qgs "Foi X xF Cc CI qgs q

r ! x¶ "I "T W¢ X "T 5a gF gX bP "T p gXtT 5h H SR öi eV h tr 5p ©R " 7p"F hq "F r gp Ue gp "F©R

0RCk (R 5q 5aUT SR X0R bi gF di "FUTC` URUTer "r0R

"f "T "F "` µH gX "v ©R H xF C` tr xq "I (h "T phv ¯H f Cc ¾q ©q ! 8 C` gp 5e gX "` GH Ui X gX F tr tH h gh gp 7p F "F r

4¨ gF "i ´P "F bi P"u§F "T gf 0 t` "it` 7p ©pP y SRUi X ei vR í ! oVp ©p"F ei ©pX íqP 7X Cr xr X

"u " Cv gTgF tr Ui "r tv"fl gp "F íq ! (X "e Uv UT gX 0R §T 5q gX

p Xp ½h {qpq (¼"r "T tH 5vtT h ©pgX b bi5Tgh ©p ©X UT ©R gT P ²X CF 7X"` tr gF 5hr 5cbi©R

eV ©R "e PCr fgX X h CF t` tr p Ch tv Rh gp õ ! r "F §v

CT%h "FUq Uv©R"T (R `gF tr gXtr 5h p CT 1R u gs Cc r 8B "F "F "F" |Fd ` ©X r ©l Ch"i

©R Yp YT q öf UiUv gX5R "rtH p " "r F CF Cq "e Uv ©R C` BXP gXv Cr H CX r

h ! 8 r r y § gh tr gf §Fh P q tr h v C gp gp X "F Ch"F UT gX

(¼gp {l"uT "` 0Xg` "u "VeP Q (RP UT 0R 5q 5 5R tH "r yh "F

gf bi p (h "v "F q gF UiSR gX ei "H©R t`T gXv CF H tr Ch p "I gX©p "T "T gX "T t gp "T pgX "` í CFI "r r tv pgB

p "a §H "r tF "Thgp F"T R Ui 5T CXt` gX 7pg "F UFCr "e©RgX gF 4i F Yrp 5q tr X©p f gvhP h (P

"` F t gp gT bP gp t` Qh 5©R UR C` r "r tv t gp 5h tH1R %h r "F X gv 5a (PgX f %TCT gp Uq f"` ©R h 5` t` tr X gp p v T u Cc5r "FgsX "FrUi gX"e tHtv &B & "F "FH "e Uv U ©R C` CB tr1¡ p (h v !( 0f U¼ 5` SR gX bi H ©p P "f "F ©R tT C` p "r tv gp©X

5` "T gXr CF xH tr "I gh pCT F ©pUq ©Rei tr R§`"p !"f õ tT Cr F&¸ "` 5`x¢ "F X ( "F v "e UvgfG¹ ©R yi gp C` "eõ tr gF h ¹CI |q5 gX& X CT 5a gs5 gX ©Xei "T 1RoP UT UTgrR 1R ghCF "r"FCr Ui %hgX WH "f "F(R "etv 5`gh Uv C 5F©R %X gX C` pHtr P h

X a 7p r vUi X5H Xv v5H X X ©R H q

E

!|F

©p o¼ Cc "T i

q 49 !5 68 & A$ " rGB & ¡ &" "F "` ²H bU ©pgX 5iCT Cq5r trCX h X ©p fh P 5 wq ¡ (r & tu "u hS¢ Cv 5r % 5q wX gX P 5` XgF 5 (V tr df p tr u 5h Cc SR gs Ui Ui C gX 5o 5r tT CX7p X r h gp t` X gp 5a o gp gF T ´i ¡ GV § p"I §T gX o 0RC gF 55q 4i©X bi ©X r´h Ui 5I (XGV 5 5v o5o gstFF hUaei gh©Ru tc|FC` gp tr r `h v xB oV! "H CF (H r "u Y ` a"F ! U S¶ gX "e §H CF gptr 5h"F

}X gXfH

" A$ 0 "c 5r R h "v xF 49 !5 68 p& dr X"I 5r "T ¸X 5T gX gX g gF ei (R v tr oi 7p {F r UR tr p tH gh t F gp "T gF tF bi "T gr 5T tFgX Cp tF C gh #T ©X ! ei ©R 5R C` Ur "r SR X bi %h öf h v or gf CsCI trtq Chgp gX CT g¼ "q {tv gh C` 5F "rgX tv %H gp

F h5 5R eVr ©R p 5` X W ( tF "e gF Ui 5 UR ¯r t` gF p %P "r yF GV gF |I bi eP }u tr 8B "p 5 "f gX "I h § ©R gu t` GP p "rgI "TbP gp F h{h Cv tT 5q5h gX©R 5` "` g Wv gF t`WX pP tT gp "f tH "F p tT tr gp h "T (R P "F gX5a 7XCT gs rX eip5a 1R"ugX "` oi &tF fF CF H r (¼ § Cu &¡ oB 5q &1¢X UrX §Rq "c 8 5F ©B gX 7 "` " "rp tv gp tH bV ´h §h ©R Ur (¼ 5TUR Cu yXer Cq gs "F "F "e dip %r u tc eV gp qtr h tc tr Cp p

q "u gp "e "` gF H Ui F$ 9 gp CT gh "q t` CF gp Ur tH ©R gh (¼ "u "T SR CT "q X CFta p"r Uv gp F ! 5 5 (X gX gp gX tH {H gh gF "F hvtv 0Xgp eV SRtH ©R´h bi Tgh X v H 0R gq U P öftH gh hh tT"r p gFr "r pP "T

Cu r h q fq"r "H "F f "` h tv &r h hr "T 5p 5p 5` SR ! gX oP |F 5H §F Xr "`UT ©R f H ho` tr V "u p X Cv uíh 5q eiq (R " pv "F 5 "T gX gF 5 5 X g (r &u gF ©p oi §T "F C` 7X tr r gh 5c F X ta (gr HCF ©"r ¸( H ¤ "I S ` 8B ¯H 65 5a p& gX r 43 5`gp D1 gX T G0 §H ¦Wq

UT "fWP "Ip pX gX gs f$ 5` P{F 0X Yqgp gu CF |u §¦

0R 5q gX "` "F 5H (X tv Yh 5q X bB 1¶gv UT q ©R (` "I V XUT fhR gh "F"F TUH dR ¸ Wc B 1R CTCq gstr5r h biX gp p "r" (R "F"F v 5`"T XgF yq Cq i 74tr ©pgp9@ A8"F5i 765qtT 5` Ui25 g gX4$ gF tH!9 ghei &5 (R WF0# ´v 7 gF 9 ©Rbi 60 h T 2 gp $ ! 5 ! gXeV "# (R 5` gXV 5HCu Xgq P CX g r gF gp pi "F tTf ©ph tr5i 5p Cq V e qd gX Cr CT 7X "q Cr CF gX Ur "T©R gFt` oB pUi ©R "rgX gX` CT eV gs oR ei gv 1R P grf tF5` hgX Uv H 1R ¶ r "I bP tr gp 5 Ch 5egX gX gX "T "T "` "F tT ªH "`©p Fbi C¼gh y Cs"F tr h5 Ch ©X gX 5 ei CTgX 1R ¸F"F r §vp ©¶ f d§ h ©X trU¼ "i 5pR P 5R gXU "r ©RYH "F C` ©R 5r CIg`X q !eP ei (¼ 1R "f gr ©ptH P h 0XP b gXVgh CF "r 5H UTgT bP SR gp ei t` gh H F oR Cs hYX u gf gv R tr (P § h 0f ©p

tP c ¡ q c "F oV "e F Uv ©R C ©R tT gp© B ©R r T Ch

gs Ui 5q CX gX C` cC` X tr Yvhp pv §F

SR Uv bi ©R©p C`bP gptr Cq ¯¨ §` 5r CX CsC` X tr"r h h

h v 5 p "` pH "I q C` tv gp ©R tH WT h gX

gX CT gs "r f tv h gp &r tT "I©p gTbi

¥¤ ¸¢

(P & Cr0f & gX5` & gX"T gF´H "f "F |F tT 5rp R trUi gX 5p H R X 5a ©Xgp 5TeP yu©X oi f Cvh 5r&r X U¼ URp gp"r gT"F T4 2 5R tr h tv p "r 5T (X v ©8 r$ ¸¢ §W ¸¨ ¢ © ¸¢ ©¨ gvgX (P5H YX0f 5` ¯h gX WH © ©oV "F gT ¥ 0R tr H "qh ©p gF öf P 5iCh UqX ©Rta X p UT 5r 5R X§ tr ho¼ r &ugf 5T YF yX f yq h U&r X o¼ 5a gf gX 5i "T Cq 5` tr X h p gT UiC Xgs hq Ui CX gp Y "T gF(X Cv"i gsP gs Wr bi p t "r p CF ¨§Cq Ctr hXh q oV "u F h o UT © ©R ¸ tF h &¡ h Hu bR ( ya ph "¼ "F ©R (R gp {v pT "f |u "F Cr UT X 5R r "r 5 "F gX H CI
GF

gF "i oiP xF öf 5`X ! "rgX CF "H r !

h r (¼ gXCq gXgT "`oP tu X h 5a ©X gX

"6 )U! WP T 2 FR I T QP " WI !

dh ©X "v Ui xF gX q H gp "` Cr H gX CIgX tq"T gp 5T "`gX ´H tF gh gp t` Tgp tbP gph © t` ©2 "F %h $ Cv ! 5qF gX "F " 5` "F ¯±1 E3 SR SR P oP X UT tr 1R 7p "IbP p "T Ch X "u h W` 0V CX Cu g gq 5i gp oq "F §f tT !p 5 gX CT h ©p |u P r X X 5r 5a WX gX "T "F Ui gXgu X }HoPtv hCF gpf Cq 0h Tq oV gXXF Cq§T C` r "r o¼tv gpgf tH5i ph Uq ©R (R YFt` §q p gF"r 8h Ui"F ! gX "` gX ` yv "T trgX 5p gX tH gh YF SF X "T ½¨ UT 0R ( 5q 8¢gX 5` gp X "F 5r tTX gp ©v t

§H u Cc p gs "I Ui P SH CF !tqU gp(RCp 5gXv

= F (x, m)/m

50mA

v T hh TT h iT vT Xr j`

"Th gF 5q Ui "tH gh gF"F g"F 5` "TgF X gFei "r rCr P xX Yq "F 5rgF CX §i X tT "F p "T Cq tr§ h U¼ gp "` (H U u 0R tT gv 5h (P SR f 5I ©R C ` X

gX gX 5` H X "rX "r"H ¨"F "`! tv gr h CF ©p tr P 7p ©p 5r oP§R CF ¨ tT½P p CI "r ©X tT Ui gp gX "F H "e xF r gp q "F q tT 5 p X (R§i tv ¯v gp C "` C CI gFk Ur YP UR p er gp 5 gs tTgX di 7p 5T u r tc p p gp ¿( T gu gX bi h m 5bB SR S¶©X eP P5 tu X gp U 5q YT oR X "v Uv5p ! UR©R ©Rr ( C` gu "F"r bi CFtv h gpCq tHtrµq ¨h h! © Cp © X 5q Xx¥ "r ± U` UR P r X " tr 7pB {rr "I f gF &i p "I "T tT ©p "foP "FU yRtT p j 5 gX 0R tr q h "Ip "` § tv tu gp ph t` gp "r µH §F ¯¨ q t` ©p " P "F X q" gF X Ui "r (X v ! X xm r yl¨ ! }i " "r"F "f"T "FgF PB IH GH B aF TD B UR tr (h tv p "r 5T X 5` gX H "F Cv "r ` ¡ tq ph 5R Ur UR "a öi F5a Uv X oR gp hh xv WT !" 5T "Föf yX h "T tr qgF 5p}¨ i ©R f"TGV h "F "I tr p"T yR "u5T h b gh UT r 8©X PbB X U gv oR (P fv SR ei R XS¶ t 5a ©p f 5` Cr gX gX Y §F X gX oi "T xF tT gpCq gX( YH 5` Xt ©p5r Xoi
¡E

! "I C` |¹"` |F & gr §¢ 5` ! p ©p h bi p ¤

"r tv gp tH XgX 5a T X rCF Cp p ©X 5qP

"`"r H v xF gu qqi


A

gF

hh

µF gv

gX ¯V "I "q WiX §F gT C¼ "T ©Rgp

}¨ bi

G gI tP tc p q o "F UH "F YR "e UvUf R(R 5 tI gs Ch ei ©X ©R Ui C` gX "r 5q gX "T ©X U ei SR 5R ©X r Pp Ur dR |I Yc r b "I©p "T bP pCF q5q "c ©X q! SR öfoi 0h ` oV § F " ²R (P ! f 0¶ 5` gX gX "T H Xtröf 5a5ph XbRtr 5a"p"r 7X gfF biCr b gp p` X Cq t "F c "v ¡ tTq gpc 5e ©p 5o gs " ¼ Ui "F "u X tv "T tv h tTCh gp ¾Fg` eP oR A( ´v &¡ "r trei p ©R 7p gr©R {F4T bo 5q gp 5T gX `(X C` v "r tv "f gpSB

c Uvgp &H `5R p xr oiUr tv (RtH gp Yhxv p gF tr ! gh 5F Ui gX gX §! "I p7ptT t bPWH ¯Xtr gp Ca CF ©p ei tFxl x¢ Ui {h"r ©p gX h h öP xX " §F gT "( tHC` CT §¢ 5q
¡

5 gX WX5h PX yT f ta öi ! CT pH XTt tTX gs rµT f CT 5` g¼©R h |T tr tTp öi " i UR oi 0 "T "I tHgr 5 ² 0X &r 1R PX eP"

eigf |u "F oB "r gp "e PB gp tv ph (¼ tT hF 5q 7X gp tP 5e ´q Cv X
H

H Tr T u l`T vu H Hh hPP h hv FH ci rr

"F "F tT ©p GP g¼ Ui 5(¼ Cu5q "q©X "Fbi Cp"` C v tH "I h CT t"q p tF h gh q tT p "u5 Cv(X tr"v p 5T h X ga©R (R tF Cv ¯h "q FCF tr t Ch gh gX "` H tH ©X Ch PX q r gf U¼ "i0R t¼ "` 7p xF gr i F gp yI "F eq Cqr gptr gh C` UT5q ©RgX C`gT tr P Ch "Fgp ©R"` "F C`5H tT "rX p tv Uf gp ©R tHgX oR v Cs "r "F ! r ¢ ¢ 1 0 §B Ug "fC (k"F %¥tT 0R 5qbB ¶gX "` tI Hh % 5h SR gX h ¸B 5h SR oi H v U 0 t` ©p P X {h 5q X© q ¦ "T eV gF©R "i5` 5qtv gp X tH "rh tT gpf gh gF gX 1 (` ! u ¦ X 5ag` gX eP gT(R

©R (¼ WT5u g "r "` "T H fF gXq X Höf 5a h gX gs yj bi íi p Pq "I gX "` "T p ¸i t ¨gp gX "` "¼ H "F orX 5r t }uXp dv gp ¨§ 5e ©X X v Ug t` Ck p p hk "r gX gT P± (X gv (P 0f oR"r "H v "F oc ©RF ` C ¾a "q PWv X ©R gX T

"F "` H "f 5`"I CFX tT 5aCq p gXtr h gT htr "Top tr UT"f 5p 0R gT 0R 5q Ui "q r "I "T UT 5v"r5 gX CFX ¸HCqUr 5Rtr p htr `! Uc t` ©R 7p ` gr "FX yq"e Uv gp R T gp ` fq5h! ©R |I öf{ rh ptrGV r U¼ tR 5a CF5a CT gXtr gs 5h}H ei SR ©R 1¡Uv GV ©R CI U` q R1 ´V 5` gX H X Cf"` tv "q h "F ©p "` P C¼"F Cs gu tr Ui Ch "T t` r 7p gp gr"F "FtT

"I "T UT 0R (r P tu¯X h 5r "r gX©X HUi gX CI tH &q gX §F "` "F U `SR (q SR "u P { gX Ch"I ©X5` XbP gp5r "r"` 0UH !©R h tr(¼ "p "u gf 5ptr "I gh©R T tF Uc h 7X "F Cr B "T gX Cu gF YHUr C`Ui C "rtr xX ptv 7pgpGq }q gI foP h UT Cv ìq gs Ui "I (X xX½H 8l Cr 8B X ©pgX "` T bipH Uc©p ©R Gi P

r tT "` í`CF

5q X Cc gs WFP X qtv oR©R "v` 5T ©p p ta "rph "T C` 5q X Cvp X ! ¨§"r "F C o p r 5q Xh ©pgs ei bP ©R gp C` oi"F ` "F Uv "etdR p}cUv F er GV gs 5q di"I ©X yh íF or gp u C` "F U¼Cr 0RX "q v tv h ! 5q gp UT "F ©R 5htr SR "IUi 5I f & h (ptr p

Ui gX tH gh gF ! "f gp"c P 5F5a gXX! "`r ¢ tH 0R Ch C Cq X C "rX §¨ ga tv PUR gp xX"r tH U` YhCl SR §B oP "f (P 0f 5` gX §H gs "F}X ! t` rp"F gpph "F C` "e 5 tr tv Xh gp tv"a gX"r U` UT SR dR oP oc UT Cf UR tq tr h "` "r 5H tv X gp 8B tH "F h"F "F "F "e F C` ©RR gp `T 5 gX 8B CT "F u troi tc Ch Ugp gX R ` CT q "q "u tF "v GV gh tT e"T ¨ tT p ei ©R U T ©R "a ` tF "r "T tv UT gp ©R tH µ` {h ¯¨ 5r X F C¼ t sYh ¨§ ¸¢ 7X !# Cr X "r tT 7p r ©p ti 7H(` V X! 4h © oV gX "F }H "TC {X UT 0R 5 5q gX X "TUc ©RUT gv "u (P "` 0f gF 5` oPgX CFyH "q q

´q "F UT X 0R 5"q Ctr "F h gpUT e 0R" C "q gF Cd UT "I UR "T tr 5 h X ©R 5q oi xF Cq gX h"` UT 5`5q R XgX C vt` k 7p X"h tP r c "¡ q Uv ©pR gp bi pY` gs tr ei 7p ©R Cr C` X "r tT "F p "e "r tv "T gp F "I gp gT 5e PX 0X GV hCI "I q "T "f 5Tr "F X t¼ gX $ r H 7 eV ph !SR oi" ¡¢ T 4q (X Cv GV gs SR P Cs tr q Ch gX "v 5` gFCei Yi©RX T! X "a

gF 5` ei 0X oR CUi X U v SR C`gX "r5` tvg "` §H rX tr gs h pc tr "p 5q ©R´ C` (R 5rUf yX0R "q Cq "` tv 5` gp X tH u gp "F ¨§ 7p CI gr §q 5r "F p gX tv 5T 5Ch U # R 5 "I Ui "T X UT tr gI "T tP t` tc 7p ta5T tF ©Xgp h oiT

Uv ©R fT X 5a F X X C i Ui ta X wh pq gp gF tH ei h oR yvX ©R xT gp "F R7p 5i r Uq q UR " tr tvgX C` gp "r tH tv h "F gXtv "` hC` ©v©p "r !Ui tv vh 5 5 gX X CT CtTC p XC Ck 5 Cs &k gX Ur gX rCT gp 5r ´T yXgI "f©X oi pq"F pH tT p p h tr p 7p rSR wPUc ©R GV ì` Uv p ©R q }Tc 1R " 5I "c C F X r "F

|H 5r SR gs "F Ui " CX 5 "s gF tT "i gp P tH 5a ©R gX 1T "T ¶tT tT Cr ©p X bi r ©p 5 Ch "TX ²h gF i¶ XtH ´h5a "¼ X "FGV "r IH GH B GF ED Ur tH ©R Wh 5` C 5q CT h 5r gp CX " X "F ¡SR WP © F oR tcX "v ph tT 5hq gp YcSR UíTtr ©Rp h"f5` C"F "I gr CT }F gs bi GV (r (¼(u u"u a "T Cv F rB ¡ ¨§ & C t

C` "r tv gp tH Wh F (¼ u § tu h gp oB "T 5R ! "r |IU` SR r oP dRtr ch t íu c df"è 8B p " {h "F r"T ¡ gF bP hi p {qoV "F 5R tv "r h UTgp 1R " "Fgr (`tF h gu p r tr gp h "F 5 tT gX gp "T UT g¼ ©R oi 5` tv gh CI yF q dR &h hc (R CF gv tr (P 5h 0f SR 5` Ui gX C H C` "rgu tvUi gpgX tHH §h "f X "F 5a tT gX ©p "T bi UT ©p 0R P 5q UrgX UR 5` er g gs gF di ei u (R tc v p YP oB öf 5R h Ur tr URp er u gsCc gsdi u Ui tc gX gp tH Y` gh YF "f "F "F "e Cv tv "q gp F "` t 5` h (X xv ©R gpxX "I 5T"e #l gX gF gB U bP 5q ©R p X x`gq gv bP xq (P p 0f ©R 5` C` gX "r 5 H tv X gp oV CtH 5F gsh X Ui tq |IGX h gr 5` ! "I yX R "T 5h F"I "v "T t T 5 hh xu X gT5q íq gXUi X5`{F pqg trgF "T 5p ei gF0R oR "iq v P CI "f "r©p "F "Fei tT oR( p vWu o y ©p 0f öP ©R 5` µa TgX4¨ CB 5R tr h tv p "r 5T (X v 5r X gp "F " gF di 5r X X "r U` SR oP UT 5R tr h " tP c ¡ q íc 5r ©R C` "r tv gp C`¯X trCp ¼ 7p gX Cu "TCr "q X" "F 5r CF "` yX tr ív gh Cq gF gX (¼ ei C` "u R "r gv gp tv eP ` gp SR tH Csi ¯h a"r "F ©R ©R ( T (` gu gu ©R Ui bP C` xX gp "r eV Cr ©R ©X 5` P X X "r tr "H 7p "F 4r "` tv r h ©p"I §P"T UT q ©R 5` öf h r CI Yqo¼ "f "F UT "F ©R Xoi v f GVh tr "I 5p CT SR gs bi ei ©p ©R GP C` gp "r UH tv 5Rgp r tH ´ h Cr oV X "F r "T & UT yR ©R UT 5 0R 7X "q 5r gF R ei h oR UvC` ©R"r Ttv gp tH "I %h |H 5rgF SR bi h¯i ©p !C` "u"r "Ttv gp gF tH 5 X gX"c "TF t` X7p 5a Cr gX gX "T CT t` Uq 7p ©R r ` b A ©R ¯T©p oP "F CF gv Wq P q f 5` C` xX "r "I 5` X 5r X v bB "cS¶ ¯F(v Cu r gI P U ¸¤ oR &¡xv ! (¸ "up CF "r g` "r CF 4P 5T Cq X tr F ´v gh t!#{F ©p {P "f$ "F ©X UTCr bi 0R X gh "qh "F "vgF w xFei oR q}F Uv gp ©R "`5q ½T (XH gv "I4h (P gp ` s U (R " tv gF h }i G©p Ui 1¸f h ¸ tr gs "p¡ oi "f xF gIUT ©RoP Cq (`UTgX 1RV "` X CrxH h X ! fv p1R Ur (r C¼UR (u s

p 5v trUT gX gh UR "` tFtr X "i X 5 bi a gXpe ¿X 5a gX UHp UR ( r §q"F bR "` ta "f Fxp "F ptH 5h5q ©R(X tH h gX 5e tv gX gp "` tH "el (v gu ` o` V gI X bP j gp t` p tvh gp "u tH CBl p eB µr ¨ 0f ( 5` & gX |H |f 5r SRgr "udr gs ¨§ "T ei 7X CFu


Cs5aX gX "r gT "F oP UT 5rgf 4X "i P öf h© "rU gX "F "I pH 5` gT X 5r Ui e p ©RCu Cv "rC` 5r 5rvCX ²X"u

©RT eg 7X or "c 5q {X öf¨ 5 gX ©R 7p"F

95

h pX "F"a

q r `` `

I T P " cI !

C`"u tvtr ph h %u 5 gf¢ G t P p ¸ X o §q t` xHX 5`a C &r X WX "rt¼ C`! tr eV ªh oR 5v ¼ gX

grG gp gF "F P tT 0X gp V t C p X rSBgp ©8Tq 5Fp tr gX 5h "`1R tH r Ch XX ta´q p X § !gh CF Uq oA dR 8k ôc ! ! C "F Ck "v "F "` gr xH F p tI "v Ch "F gX 5T 5` gX C` "u C` "T tr 4ht` 7p bV Cr p gX h gT {q P X X


( V V WV T C! 3)0 © "6 )3! 7 I T V UP R )% 2 2 ! )2 ! 72 YP

S¶ GV "F "I 5v "T gX UT C` 0R tr 5q h gX "` t "F f$ )( & ! &5 %$ !5 ¤ §¦ 5a 5T"u gX gXtv C` pC` tr r"rh tv "F ©pgX "F ti"T tT 5 ©p X bit Ur CI ©X q Ui CR (X ! 5v X ¥ &¤ © ¢ eV k UR q"r ¼tv ©pgs"u tioi"T W xFt` p tCq "r p gX Uv "` §©R 4H U` U¼

gp C`gT tr bP ghgp Ft` ta gh C "F 5 2H !#CI hq p 5R tr§ Ch U¼ ©X 0R íP A r0R ¡ q &r t CI hU¼ "r 5rbR R öf V gh "r F t¼

d A f¨gp U` "FdR c§v ! "e ©X CF "i tr ©8 7 9 65 ¢$ gp ` "F "` H gp "F tT q CF tr Ch gX "T tT Cp ©RCI "r {T "F tCF h tr Ch gX tCF h tr Ch Wq ©X P "f "F "f tT 7p § gr o¼ F 0f 5` C X C Cr 5q ¨A

P 5h gX ©R ´H y oVgf "Foi tvxF h Cq gp gp gu gT bP bP gp gp 5e t` gX h "` §u H oV r C 0p X V Chh íX "f CF"F r UT p UR CT 5q"T gX tT Cp` C§u X "fCh X"F UT gX ©p fH o "I 0f"F t` "`tv 7p hUH 5r gp ©R oR " T ´v CF

yq FgX "r p Röf "f

" |F r Ch (X v 5q Cp"` gXYH "T X UT ta 0R gp 5q gT h tr q p "u X "` Uv CF©R "q gT h "F r {H©p UiU¼ CF xXSR tr GP CmCh bBgXg¼ d¶ Ur 5 1R"F 7X UT r r Rp p tr u ©pgh Cc UitF gs

©X bP ©p bi 1h gp "F X bP "c gp gF t` ei }h R gp "F "` "F ! ¸PCF 5r 7X gB r 5q X (X "r "v UiCT DA 5gsoB yR oi 5FCB ¨j 5gh B 5R 7F tr &¥ ¿ h whX Ui "v gX "T! tH |ugF gh P Cr xF X 7X {h gr &r

tT 5qoT "F ! ¨ gF &¤ "F

7

H ©RT X "ur C`

P "T gX (R

a u qV v` P

o GV 5v "I gX gT "` P "H X UH ta R gp UU gX7X |T gr YrCF tr gfh "i"u gP5H ! ( GVgf 5i "I oq "T §f tT 7p Uf r©R gp U X A "r T "gF §BeP ©R gè C` gu" oi"F tFtT h©p GP q g¼ grUi 8"F Cv y 5r lCX 5 "F©R "F5` C5` 0b gp tg H CA §A "F ¤¸ "` C 4HCk p©R T "I "T UT %F 0R 5q gF gX oi tT

aT ©X "u P"f "` "F oR5v UT "vX 0R qt` 5` ! t` X gpCF 5r trH X Ch 5v gXGV ! tr p r t gp 5"F ! ©R §T " T "F t gptv GV h "` XX Ur 5q ©R ©X 5` P CX X pAF pR 5q 5q gX ©R tT yF Ch pfX r 5` CX"I

tvX5q Cc gp gs 5 Ui X gX r tH CT p tr 5q 5h gX ©R "` (H CB "I©8 f$5` X)( & 5r (Xx tv%( gp%$ 5 CX 5 ©R h` 5q "I Ur YH "TR UT öf SRh x¡ trP §B gp "FUTj 5` tr R5a 7p gX Wi Wr C` "r ©R 5` tv t`CX gp ©p 5 UT Ch ©R XCI 5`fq ©R hT CI q C"I ¡§

gh F 8B "F X 55a gXgX hT"T p ReBgB Ch or 5q gX !gX 5` C`"F "r"F Uc tvUe T 9( # "f 15 "F ©8 tT 7 ©p ¨ ©X ei ©R¢¡ "F è t` (p UR"F ©R tr "e TCh v gX guX ! UvbP X gp©R tH "i h Ui gX "I C` t`"r 7p 5T CTC gF tr Gi ¨Agp ©"`5I "v ©R 5T t`


5q X Ur 5R dr ©R tT S` gp ! t` t` 7p 7p 5r gr gp (R tH"v h yF "Fgq "F "F bP 15 p $ Cq q "I (` Ur%» 1R "F r "F p "e 5q ta ` p h UR q r p "I gp 5H XgT ¸P Wv © X §B ta pf 7p5r (R 5r 4v (R µv ´¨ "F rxX "I Gm 5` ôB X GV 5r X "I

©R gs "e "¼ gu UT h5` ©R"v

A RCh X

gT ei bPu gptc gp "` y`tH gp (p T Cv t` "F p(v "` qgu UH bP ©R "Igp ôT tT` ! ©p 55vbP "F bP gpUe 0R 5e "qgX CF"` 5r xH 7X SR gX tT Ch §X ©R T UT X 5R X tr p tv h 5q¨h gX ! 5 tT 5qX Ch X tv §X Ur7h § Cs f "r X "F tr tT 5h 7p ©R r T "c 5`CF "r X 5H "r wX tv p F tr ©p ¶ §v "T UT gX SR ¨H wP ! "f GV "F "I tT

5r CX 5 ©R 5` X tq 5q 5p gX ©R 5` ( g gu gXp "q"T "F" "`CF "qH r P X Cs hv or "f t r R gh"I "F` UH m ©R UR F ©R er ´T oRgs vdi UT ta u UR ©p tc oh ¨ 5T gX "f C` "F "r CT%P p gs U|f ei ©R ©Rr 5`gpC`

C %X 5 gX CT tr p gF bi ei h oR &r ´v U¼ "v (R CF tv tr h t` (` gp gu H bP 1Rgp 5e r gX "r "` "F 5Tp gX tr ChH gX tr "T p tT Cp C 7X T bi ©p tP Uc |R S¿ 5r gp gp CX ` 5H5 X©R "v tv` CF hUc tr ©p ©R gh bi Y` "F p UT bi 0R h q trCI p "r "F t7X h hr C`tv ©pq i p p § SR f XP C "r CX tv X gp h tH h r "p "F gf "F

Uv ©R H "F "` gh WH "u "F 5H GV t` ©X p "I P "r "T gpUv 5 X 5`Cr Ch XgX X ga íH eioV R Fei (a©R ¯r bB ¶ 5r0R Ck 5q gX CB Ce t` T p §"r 8BUv ©R CF U`tr "u "u "v "v "F CF 5T "r gX 5H trX 5hUq ©RdR }chT qX 5a 5i "e Uq (v UR gu tr bP©h gp bP `gp

GV "I "T UT SR U` "F R "v %V t` pGV 5q "I gX ©p 5q bigX p 5` "r g tF gF Ch ei "F g` t` pP Ur F 1R r(` Cu Uq ©R ` ©m B S XYV ©R 5v T " g "FSR F tTaP ©p X "rX Ftv ©p 5` ti X ª "r 5aX tv 7X ©h reP p©R u ` Cc "a "` H "I C` |Itr 7p r 5r ©p ©R

F§abi ¼tv gs "T

©p 7X"f bi gFghor 5i"Fu q Cp CI gX"f{q §T"F "F tT p` 7X l" r "F5c XtT h C 5 p r gX 5v ¡ "T gX t 5 C`4h X tr Urhh " UR "F vtr tTCh ©p"F ©X 5vUi bP gXgp gp C`hT C`tr Xh "F ¢ 5v 0gX g C` tr ©X xh P ©R Ch C` gX tr gh5` F Ucta ©Rgp t¼ oP §v 7p CF gr q U©XF gX "i CsoH P tr!gX h H" p F "I X § g` 1r U¼eP ! RyR "u m T WI ! I ¥ E GV "I "T 5 X 5q gX 5` g gF ei (R v tT"` hH p Cq CF tr r h ggp yB" gF CI Ui "r (X UT v 1R grCF trtF hh 4T v r GV "I CI CTtq gp5q gX& tT g¼ Ch oi YX v f oVh trF p "r v "I "u "T C` T tr ¡ h bP p GV "q "I "F CT ` 5q l©X bi h ! Ug 5q C X C gv Ui bB Xgp ¶ 5` 5k " o §B df ¥ "rgèDA 8B tT! C`p "T htr oF h ¨ gh CF "F tr Ch gXCI WqT ¨§WF C GV%X "I t "T Cp UT X SR tq h up tr (a ©p "u P g` ! P ¶ ©R&j T S ¿©p P 0X¸ bV ² gp Ui "F gX tT tH ©p gh {i %F SR eV "i 0R ei Cq UR tr tr gh gh 5 "F X "` tq h bi U` ©p ©R tP H Uc ©R gF w` oi F Cr gX "TgI UTP SRX trP 7p r

¤ ¸¢ ¸¢ ¦¸ @© %9 4 ! ¢ ¸¢ ¢ 4§ %& 3" ¤ ¸¢ ¸¢ ¸ 1¤ ¢¡ ¢ 3" 1¤ ! ¢ ¢ " ¤ #¨ !



¢¸ ¦¥ ¤¸ ¢¡


tg A 5I fH 5h or©RgX X Wu ©X ei 0R q lg` eP (R v g d

gX



U UT ` G` b 5H pX gB 1Rq gX gX Cq


¡



}v t`UT (` X X oi 0R &¤ "`

ôh x

r gp "F "H CX (H "u gp 5h ©R Cs or tr 5 uCh Fgf §d oi tr xF p©X r5v gXgp tT

pP 7p(R



gX

oi Cq (P "F©p §T ¢0R 5T gX©X ²X! r "` xq "F h ! (h eP©R "r ¯v r



Uq5T

wH gf §vei ©R d ©X oB p C gp ©Rp¢ CI WT egq d tr p Y CF0R "F "rq t` 5 gp I X tT &h X 1 ta Cp CT gX 5r 5 "T§X X "r "F ( Gu íq "¼ CT gf 5q

xF "i©R T P A í¨ U (Xp Uv ©R pH 5 X UT c "c CI 5F p8B t©p " "v gX CF "F §H Ur gp yT oi gX yF (`

gX "` gX q }H q gp 7XCF gT tr ôr P Ch "F gX0R 5q"` gp gX H öP©p bi"a p dR Uc 5T ©R gX g` C` uCq gX oR |u "` "v

!
ei Wh

h X gpH

§¤ ¢

CI rtv r

$

f h ( gu Ui gX gX r H gX "Tts 5h SR "` WH UR 5r X tr Hk GH h Cs! C dtT "s ©Xgp tT CT"i 7p UqP Cq gX 7p gr 5` yX 5 "F gX Cs H T tr& 5a ©R T X G`¡ 0v bi A ! ©p fU¼ SR h P tr §Ui 7p í r gp5 "T U` tTr R 7p "IV dR ygp Uc 5H l(R ! (v ©R"f Cp7p "TgX r "T b ©R5 gXg`"F 5`eP5 0R0XgX "I UT SR P h gF Gi yX "FgX Ue"T gq ©R tT "T F Ft` ta gp gp § H R` oB r C "FCh CtT ©p©X GPeP "I gX "T ts C` "F 5h p"F5q q©XgT bPbP ©pgpF
§¤ ¦¢

"F §v ©X oi C gF X ¨P X 5q "F gX 5 ©R Uf 0R 5q ¾ut`´H h gp gX "F 0 H UT 0g 5R "F q tT 7p 5 rX gp gv C` eP bP r gp gp "` gT 5H bP X gp gp t` t` gpUv URH ír o 5v 5 gX gX v "¼ "F tT t`"F ©p tT "igp Ui5T gX©X "qbVWT gp tv gpgpT "FgT tTbPtr 5I UR tr h 0"F "vt` ©p CF Ptr Xgh CF Yu R 5hgf ©Ryi ©õ² ( t`g¼ h Ui 5 ts ©R gh T gF ei bi h "F gh §v F C`oi 5p gpgp p h 8B ©X"F bB ¶

"i P gX "`gX }H %T ¥X 5h ©R&¤ "r C "F q SR öi P xa §T yh trq 5p CT (R 5q tv gX p 5 "r Cv 5T5r (X¸X 0R q CI t` p g r B t gp µT tr{¨ 5R tT p 7p Yh "itT 5` gX r gpUr UR "F %¥ ©R tr 7p P C (d


h bi ©p §r õ

G0 ¦ "# ¥¤ E f& & ¥¤ §¦ ¸¤ 1 ¥¢ ©0

¸¢

§¤ ¸¢

fH "F "F "e tv gp gF 0f bi g` ©p P P gX 7X H ¯r gX tP UUc ©R©R §`5` (X Wq » "u !T g` CX t eP 5 gp oR SR ` v bi 5a íh gX "` H tF h "I "v "T xF "F 5q " tT tr p p § 7p 7X r r gp "F "v §v "F }H ©X oV "i "F P 0R ` tv "q ©p k tv CB ti gp YA{ gT qtbP pgp CF tr gh CF Ur UR r H p 5r ¨§ ¯X C X gf gXoi q "f "F tT gp p bi (h h "v gh "F F WH "f " Tgh gp "Fyu "F UH q tTdR gpc Uv t oR ©Rp "F d xB Ue©X ©Rei "i ©RC` P trTgX gh"a íH FtF

43 D1 G0 ¦ 4# ¸ ¥¤ E f&

"` 5` X 5GV "IgX "T "T "fB CT gr 5q "F gX |u H Cr(r 7Xöf 5 gh r gF bi p q gpdR t` c gp"F UctTH p©R gXCv gs ¸H Ui ©p (X t`gX §"T h t` U¼ F7p QHyF 0 BCq &¥ gX &¥ u "c hF "F"F tT gT p bP ¨§©p v WrtT ©p CF q 5i tr Uq tah gf gp oiq ` xF

Ch C¼GV

¥ ©¨

hq µF ¨ h # ftr h

¡¤ ¸¢

X "F ta gp©p tr op"Fei gp F 8B UT"F v RUB b "r tv 5h p"H GU gX CI !¶ F gp (V df b Uv gh oR Uvgf 5R"i b ©p p bi

"v p CF tr¨§ ©R ©R gftT gp5i gh § "F §v (r ! ©X ©R "F ` "` T q d t ©X "FC C tT d gp tr 5h SR xF |v X "¶ r P tf (h Ch "v gX "F %H

UR CI q a ¨§ "F 7X v Cr Cu ¢" "F "T T `gu 5a Ui gX gX gf oi xF R ogX ! "F` "s "vpu rtv F X § Wh CI 4q ghC tr "r Ch Uv gX ©R UR tr h X 5r {h X gX bi h "FUH CF gr tr 5` Ch tvxF íH CX C5a "F X gp C¼ "i H H e "F ¯h 5v "SA ©R CA ` A 5a¨ GV gI 5a 5U 0XX V5q gh ©X t` Cc p gs q Ui "I "p CT gf "r bi

E "r "F F bB S¶ ¥gp "T "F&¤ tT gpt gp §B 7XgX "f "` r CT H 5q gp¯h C` " q XCB "F p t` Cs p xT q 5R©X tr oi Ch Cv gu bP ©p "F©R T Ue 1R ph"i ! P ¶ gXq Ug `gs P 5a bigX gX gp "F%¥ C UT Ui C X gX 4¤ gT $ P gph tr(T p 0V u hH f GV h tr

}X ¥ gX ei 1R %r GF bi &h "c §F {h gX tH Uv gh tv gh yp "F q

tr 5p ©R "F g"` H gX H "r "F "¼ F §v "F "` SR H öP Ch q gX Uc"T 5p ( §R gu r "T gp 8UT t` " 5I gp CFC F Ur4X 7p bi ©pr gp C` YF tr gh " ¨ 0R Cq " tr "tr SR h gFei gp 0Rbi tT¤ p x¢ Cp X "F GV tq 5v WF t ©p(R CI WvpP %q

©X ei ©R gp "I gX "T C` tTg¼ 5q ©p X bi r p GV "F "I §v

íTF3 D1 ©p bi tr oih (h "v ¡ t CT gsd

v ©pt gp&qGP "F WH ©X bi h ©p"i 5r

CI %q oV gT p bP gp 5ct` hhgX X f 0h oV ´k F PP 5rgX xX %H p "F
¡

§H"F Cv 5 gs gXX C Uq 5v" oV gXUv "F

5 gX "F "f r5a gp gX X X 5a C` ©R{q ¦A ¨ q 5aUi "T X7X "T UR U tr URC` rtr

WT d íA 5v 5T "FgX C UTC` gX 0Rtr 5a C` X Yq 5q X "f g`X XreP hq oR &¥ &¤ 43 D1 G0 tv h gp tT p r 5p 0R gX Ch X (R h gR©R !5"` gXpv "I

5q ©XbV p bP g` h P gs ts tr "F h "e p "v v gf "F yi §v "F ¢ ¦ 4# 4¡ ¸ qT |T qtI r gh "v CF tr "T "e 0R T "F tq ¡ pC`

"u¥¤ "T CF tr Uc "F ©R UH gh CF gT h Ur bP 5r1R

"F eV "SR Ch gX T &` dR ©Rµc ¨ g` Ur UR r gp X Wr t` h §F

gFbi ©p bi pbP Uc ©R eP "f oR "F gp¨ 5eôB 5v u gX p C`

wqgp "` ` 5 v UT 0RX "f "F "r tr © phtT Ui

fFH gX "T 5aq gX tT ©p 7p X oV r tr

X Cq tr h gp 7p0R 5q r gXb fA "` "F CF C` u oR "v oR r©R ´ T tc CFgp tr sT Ch ©X CFp Uq "u dR "` wc CF "r "F tv tT dR Uc ©R ` (d §` ta 7pYpgA !r F gp X 5at`Ck xpX yFtv h gp Cq T gX "` eV yH SR Cpgrq gX"F CI CT"` "r gs YH "F ei t öf1R h &¤ CB y¢ p eg " d "FA YH ¢ gpW "F F tT gp 7p er íu gs di gf WP H SR1q UT©R gX 0R Y` "T 5q tT Cq H "T "CF §q 43 21 ©X5I "i t (R h (v gu ¸u1R Ui p gp "` § tH 5 ©R Cr `©X p Ur UR bigX Ch"` gX (H gXR C"I T ©X "TUc CF Cs gXtr tr Ch "` Ch gX ¤& ¦ "F §v Cs r CI UT"T "r dRtT "F Ucgp h bi ©p r bP "F ©p 5 ti CX

(R ´v Cp X Uv oR ²v ! Cs "r tr tr Ch gh X F "q ta gFgp "iU` dRbP ²cp Uq ! ©R "F "` §v tH tv h "I ` "f "a "F F tT p CI yq § 7p ©¶ r"f gp "F gp 7p ei "` 1R r 5` gp wr (X C` %v }q Cr Xhv 5r r XR¡ 5h ( ©R "f yu "F %¥ q 5 gX "T tT p " "F r 7p Cr gX ` 0m 8B CF "r 5 DB oB 0l Ck CB p tr h 7p¥¢ r ©R T Cr X tT r p ©Rbi ©p T bP gptr h"` 7p %H r ªq ©R U` © ©R H grh r X tF h U¼h 0RUv r"q1R ©p "F r Ui¨" C gF CFgX bi tr"` p Ch H(q gX yT ©X pUi (X "I 5v "T X UT R "u gh "T "F "F 5H " SX gF 5T gr ©X 5` oi yX Cv q5r X gX fH Cp gX ¥ CT gs &¤ u tc gp ` SB ©8 f$ )( '& 9$ U¶ yi õ 4 bB ¶©¢ ©R 62 G0UT (R51 tv# gh ¤ t` ©Rp oVGi gX pF"`5I ´"F oR C` "v ©8 tr CF $gh tr S(F gh& ta CFgp"! Ur U`&5 UR dRG$ tr ôc 5 gFtr 7p Ch P r gXgX gp "T"F t` tTt` gp 7pgp H Hr gp 5 t`X5 gp 7Xr h}H r p %0 ¦ 4# ¸ ¸¤ eV SR bi ©p bP P tT gX p H g "s Ui tT©X p P 5q gX"s (`tT oB p u ©R 5q g` qW T ` gp "F tT gp ©R T gX (r Hu "fh "F "F UT "v UR tT"r gp "F 5e pX CI 5h ©R h` oV "B fF X ta "I gp "e gT "F bP UT gp P"u C tv C Up (R r v GV {q q "I " "T r "F UT ¡ tT©R t gp 5`h 5r ©R

"F tT oh f CI }q ts Ch %h d ©X oR "i "v P t` gX p }H 5q gX 5q ` gX t` gp H CF tr Ch gX T !UT 0R (X q Uv CI ©R "r gT "F ¸P t h tT eV gp SR 5T bi ©X ©p oi bP Cv gp r "` H gB X 5T "c gX 5F H gX "`gF H Gi gp5I T d 4q ©X Ui ¥ gX &¤tH 5h y¢ ©R `g öfChtF X h tr gs p Ui 7p ©X xr 5P èq oB ²u ©¶ "f CT 5q gX (` u 5p"T ©R tT 7p( gu r gpbi h t` gp H oB ©R C` tr gh F ta gp ` ¢bi 1R p WAgrq tF tr©X h p Ui Uv 7p (X ´R gr5v XF CB F gI P X 15 "2 ! &5 G$ 5 "r "H 5`5q }XX "r Cs "H tr "F 5h "` SR tv Ui h C ©p X P ts¦6¤ 5h SR §C ei¥5 0R H "q# "F95 C`98 Ur GV ! |I7 gr 5 tF '& Ch 6¤gX ¦ CT # (q ! (R 5u "v CFgp tr C` gh r CF Ur "f 5R "F r tT gp "` §H q ¥ "gX eP (` "F oR Yu gT Wv bP gpgf "It`Ui h"TgX UT§H yR ©R X gF gfcq "i CpUr pP gXUR erCT f gsgsh ditrei up1R tc u gr p Cc "F gs ©R t` ` h Wa "f t "F gp tT §T ©p bi" gh "F "F ¸T YX CI T q {c|u Cr"f "F X"F Cv r UT 5q 5 0R gX xX q "` gl CICF 8B

A "F q "` "cX 1R7 7 15VX gp t tTp "h ¡ j bP 7p "Tta Ui p |F gXh ¿ CI "r 5`Wh "r "Ft ©p

Rr rHq q X hF t hi


k A C T }d¡ gT ©X bP Uigp X t` 5vh ¾Xu g` "I eP gT yR oP FGm §B 8B j " ¨ "F ¿ tT gp ¸ ©R ² T c} CoV CF §¨A © U¼ SR eP "I ©R t` H7p 5rCI oRq v Cr 8X Ch y gX Ql 5` "F 5r §vYX 4h ©X "i GV P "I gX "T ´H T ¡ gp gT "F8B bP tT "H gp p H t` "uUh ©R`²u a 5` ! C oVtv X p WF "c F F ©X p "it gp ©pP gT gXbi bP pH gp h `"v "H "FG(H WH "u GF ` oV oB ´a "F G od CB A0f gh 5` 7F "c X ¿Fa

gs oi xF Cq gX ` (l bB ¶ (R 5v gX C` tr h Uf ©R "T T ¡ gT bP gp t` h µu ª¨ B &j"u g` ¨ eP f¿ (R Wv ¸ v ² ©R g` "I eP t`(R 7p §v 5r 5r (R ´X v f 8h ory gf Wl P X "F q §v "c 5F gX©X "`"i tHP ChgX X yH q ©R "Fg` tveP hoR gp v " tc CF gp Ur ` 1R Uc r©R p ` tr gh tF F h DA oB "F ( "v CB "F gh WH 7F ¿F


e gX X 0RoR

"v Cq p Pr
9$

Hq

ti UT
¨

%0

T Hq H H
U

F TP Hi F`

o ©X5 ! U

# ©R pgp

5ht C` (RUi ! 5 5a p
GF

(R tT gv ©p (P bP 0fp 5`Cq gXq YH X ta gu gp P § t gf 7p "i %r 5P gf "i P 5q X gv (P 0f 5` gX }H r gp "F |u tv Cr 5 gh X gX 5F "q 5` gX "F 0X H "#V 5 !"I X X5T tr UvX h xc©R tu gT gp"u ¸P T"e "F7 v UT "B CF 5qtr ©X5h SRbi h Ui C X wX 5a X 5 tq gX gp tT 5h g¼©R oi"` pvv "IeP ©RCB "e DAT "FF ·AUT Cs ©R Ur `UR C¼ a5r Cs CX tr %F 5Ch ©RgX 5q p`§T (X gvXU P0Ror f"q"f GV r gp |I "F "r UT 0f SR "` eP yH dR c tv gh gX 5F UT gX SR &H bi Cs©p "r P 5q "r(v X U`"u gv SR C` (P troP 0f yh UT 5` UR gXp tr H §h"I gp"T h Tt "cgp r CF"T ©p "q gF Ui "F Ui C "`7X X pP Cr Uq p R "I "T "I T (` ¡ gu bP bPp gp 5q 5e©X gX P "` gp íH Cr ts ©XCh ©XP X ei tr 0R 7p 5q CXr gp"F C`"F ´r Ue ©R Cp t` gX gp 5` 5H q CF tr ©R Ch C` X "r "q tv "F gp " tH 5 h Xb ©ptr h bi tup gp T p dR

32 80 ©2 §¦ ¥¤ "6 T ' "! (' WV 32 80 A2 " 6 ) ! A@ 4 )2 & ! I WT QX ! P R 8I D

! gu ei 0R ²¢ "q tT ©p bi ©p "r X gFa e P Cd X "f©R ¯q "F` a tT"u & gp Cv 5`"T gX "F H "` H Wh"F tv " h X "F r X UT %h §v "r 0f ¸F "` xT gX t!"` CpC¶ H XE# &tq íXX 5r X CF Gv r 5q c tX "c gv F (P

t` p © "r }d "qbP gp"F "f ¤gs ©R Ui (¼T oV "F |f v "B` t 5a©X ©p 5rH "F XUv tT íh ¢ §7 "f } ! 5q Uf X 0f CF 5` tr gX

t"T gp F "F Ue ¤ (R "` 5H X h "` "F "u H tT tT ©p¶ 5h bi©R ¨ ©p "` (X hc tv Ch 5` xX CX 7l tcr bigp gp p C` %`h q "v X p"F X ei 1R 7X r gr gF ¡ tr(Rgp 5h v ©R u p x "c |I F §q 9$ " "F UT SR tP 5c §R gv (P§ f (¼ 5` "f gX %HCh gX §T "f "Fd ©XUe

tT pxF Uq gq ©R gF ` P 7X"r tT ¸r 7p h r ©p gX GP|I rCI ²¢ ©p pq Ui p©C CvgX ©¶ r "` gf H"I bi 5Hpp hgXh "v CI v 0q dR ! c "v X gF ta bi p p hq§ U¼CF ©Rtr §o¶bB ¥¤ f X 4¤ tr §W 5h ¸¨©R ¢ T ¸¢ W §B §H tr h C gp "YA gF q Ui (X 5 xv X !Ch ©X©R 0X§ p p V"u C "` öf X CFh gp "rtr xT 5ptv p0R|u trq Cr ©p XI (P Ucr Cpf hgX tr CT Cp gs gX ei "` UR yvtr p 1R xõ r ©pCB X ¥0 4h DH ! "F Cv |Ir 7r "I 5H5r gX©R íH` gT íH Ui gX X H Cq tr CI h |q gp ! " PB IHgF GH Ui B X 1Rbi ´h gr tF gF h ei 5v 0R gX q "` I "H c UH RCI hq

A % dR (c Cf e tq f h Cr ©R gX "T 5` 5v X ©X 5r Ui (X X v yq Sq X tr 5p R t gp ` ²¢ © gp "F v H dq¥ e §gp "F ©R tT µT p h¨ gp CI"F Uq tT dRp %c SRp CqUi 5rC 5XWX ! 5 UR gX "r CT tT gs7p ei r ©R ©p C` ti "r¸ tT f ¢ h © Cs or "f ¢ tT W 7p B pr r (R h 4¨v ta ©p Ug bi{d gXtr 7p YH Cr tv gX gh C` 5F "r gX tv 4H gp tH gr }h F "F § Cv U¼ gXtv Wh yH xF©R T f "c h CF &r "q o¼ "F gf "` 5i §v (q ©pf öP gp Ui "FC gvgX (P"` fH 5` X xX "r "l 8B! ©XCF trei 5hdR SRUc (RUi gX "I "` "T #H UT ! 0R 5q 5q 0X gX bV "` 7p CF ²r "r 7tT 7p }B or v gF Gi X r²I gp oB }T ©R SR"e oi5T XgF v P 0X ©X eV ED B UR tr (h tv p "r 5T X v ¥W F X gp ga "F Ui UT©X 0R P "q e §F tR at ©pgu bieP Ch|R gX ¿ "`§ t`

! gp X UT q& 5qh u tF §a gp "F 5 "u H P P©R eiCX X (P
5W

a! e D¦ "F tT " |q"F gp a ee r©X P 0RgX "q "` T ! |F 5vC gXX 4¨ 5v ©X 5q }T SR 0¦ F¤ ©H R ! gp5q

T 4# gf "i ©R dR (R X c gvta C 5Tk h5a " 7X "u"F rg` gX eP CI §W © gp 0Rg gv q gF © ¸¢ "F©R `tT 5a

¸ ¥¤ X 5q ©X bi h Cp X tq gp g¼ P 8B5q X " gv "F (P tT 0f ©p 5` GP gX g¼ H Ui gp 5 "F ©R tT T ©p 5Rbi (PCpT wcgX0f 5`CT gIgXgs PHbi p d X"r gX a "F 5 "T Ug gF ©R d bP T p tc "¼ gp Cp "F gT gX tT RF "T p ©Xp oi gf Uv "i ©R P T tT oV p F U wF0R q CI gX tr "T 5h tT©R Cp p r5v 5ryX 5q wX qgX t`|F 5r 7p 5r¯X Cr (R gX gvCF %T tr(P Ch f GV 7X 5` "IgXgr CT´HtF &rgh ©¨CF g¼ (R UT Wv ©R ` q 5a "X 5 ! X Ch3 ©X4 A@ Ui gX4 H¥Y ¸X 5 gX ©R CT tT 5q 5h (X ©R Uv "` UR v r q ©p bi gX ©p "T WP tT Cp Cr C 7X X 5rCh R"X h "! 0¦ 4¤ W ¢ 3U ©0 ¸T ¸¢ ¤ 5 ©X oP UT 0fT 5`{F gX "f%H "F (R tT tvp gh " 5F t` gX p {H Uq dR X Yc 5a X X 1iCI Ur ! R u 5 QP ©R e 5` Xi ©X HP gp "f T "F UT p 0R ¨§5q CX 3U %0 ¥T ¢ ¤ ©R (` gu bP gp 5e gX ` 7l p gX C` "u "r U` tv ©R gp 5T tH C hh X X Cp´h X (Vtv h "f gp "F " tT

©p oi GP v I Cp X 5q gX UTtr ©Rp h 5` C X ©X ta Pp gXh 5q (X( gv"u (PU` ©R0f 5`5T gXC X "FXC Ch gv xX (P 0f¥U 5`1 gX§¨ 3 4 VY %0 ¸¤ 5 F¤ ¦ Uq Ui dR X c Ch 5 %R oV gsC` ©R tr ei T7p ©R ! 5rC` ©R"I"r U`(`tT ©RgpCu reH 1Ro F Cr a X gu §v eP 5|R gX ¿ tv CX5a h XgX gp ´q §T " CFCXg UrgUi 1R ©XgF r yBUc ©R CI5` C5r CXX gp5 ©R"` CFp Ur U 1R ©R Cr 5` X C Cr X q "c
E
T4 2

tr h e CT "eP CF §q tr Cs ©R gp §vtv F "f ts UTgF ©R"q gX C` gT Uf CF ©R CT R ` t`tr bP ´A "` 5h gX yT "` yH X

bi gp P 1R q 65 5 %$ R P g` "F t` a gX H gT QH

UR tr (h5h p Ui 5T %X ! GV "I gv T f P gX t Cs5 CX Ch ©R CT C bi oB F gF p "v ©X p P (T ! gp gF gpgT "i pX obB e 0Xta ´F "F gf C` gX §v´H "F tr oP p "F ei 8B X H pX "F gX tu P a ©R h §v "i T "F c 5c X

tv gp Q 5 pgp C` ei "rH Uf CF ©Rp Cq ¯H gh "F GV ` T gX tvv X "T H CI tq qH pP trd h©X ¥gX5 h !

CF tr "F tr5r tv oBp "F S¶ "T 5RgF " ©p 5 gX

tvSR (P"T gX5 bi d gX F bP Ch "T tT R gp "T UT

"r C ¡ 5` 5` (h gs "i "v ©X P p t`Ur ! õ ©R SR tP

CX ©R 2! "I5q CT gsH ei CT q "r 5q©R gX gp gp "F g` (R gX "e "i Cv gX Ui T ¢t p

5 $ CTgX tr"I gsh CI ePhT 5"F P gs &¤ "F §v

"` "F CB "F ©R5v X C` "u©R tv "Fp "H H "T U gp A "` X t` r "f7p § ©X "i

p eB ! gX gh 5` H"r yB "` te "r tH gp íF íT q 0R P p h "u "I "T a Uq ©R or pv 7p "c r5` A §v "i"i "F §v ©p 5R "i ©h gX "u dRp oV d or X tv"F Ufgp ©p ` Cs "` X "F btT tv P gX "Ftv gp 5v tH ² ´h 5q¯h X F troV btT ©pgp gT5i f pt` gfgf 5i Uq©X {cr "F H 5 gFC` ©R "I tq"I bP URgp r u ìPhP tr P F§v gX "T

r 5 gp § U¼"i

oP h©h F X ¥"F bP {H ©X t` 7p

"Fgh 5h ¨q dgp ©Rp &¤5 SR P r b

gF ©R ©R ©R "HgX "u t`CF ePgX ©R CI eP

Ctr h p%A SR eiY eP0R ! gs p ei pH !h Wgp SR "T §q ei 5q¢ X gX 5a4k ©R íH H A r

"FgX 5H"F gp "F CI 4q!7 UcbP gp H"T"q qg` gp "F

gs WHh &VUr §v& ` p 5r T 7p` CroR UT UR

©X p "i "r 5p" ©R |F Sè gX r B "TCh d"! 5 ©X Ah §vpµq r wA Xív XgX "u b b "` gp Ch "r "F

tF gX Ch ( rgX gu Ch UT g¼ "i 5 gpQ¨ gT bP r 5`5a ©X CI

H gX g` X eP¨ biX ! UvX Ui"` gp 5H T§X |u 98 o "F T ©X gX CI gp ¥gp }¢ UR "f (R h v

CT 5r 4v©R H 1h gh gX "F YH gX &2 WH 5 P "i 5X P gXa t` "F &¤ {h UT 5rP hX U }q Qh

¤ ¢ ¸¢ F © |F 5r (R §v ta gT bP gp ív Csh íf bR "F(¼ Ua 5T"uSR wX C` Ui o p tv pq gX Uq H ©R CUT CF (RCh "T 7p q Cr gX ! ei 5r %T5q ¯q bi ¨ (¼ "I 5q (H"H `"u ´a "r UT "rCI ´q tfh "¼tr Ch "F ©R"c H `tT "r q gp Ur&r h p t`A ©R gX 0R "F "H 8BGq "u"I Uq ©R ©X "uCIH p %ap t` h

B (R "r gX "! r treP 8q ©p "F µg "F eV Cs "r

¥ fX CT ! oq "F h gX%v |F©RCu 5R "HsF "F CT

> 20

l

h `

Yd "IdR bBgT

xTQF 8 q ¨v Uv SR u"f 5¼ ( tH

H vX FT m h lT rq FF

©X "F5h

±20

5Ríh Ur ©R r CF "T tr"I gFCh "T PgX UT 5`CT SR CX"q P X tF &vghgX tTH Wh p 28"r gu "! "T (P 9 F 0f & U` gXdr "gs {H "Foi tTxFtr pp q gu U bP ©R F ©p 5` i Cöf GhX "cr ôB }F (¼öf h"u GV r "` ¡ "I CF bP"T tr c ©X Ui X"I 5v"T fX CF "r Cr U` X (R Cq {v tr h 5 gp gX " "T gF t` Uip PtT gp X gT bP "F gp "v t` htT gp}u 5e gs4X bP gp5 gXt` gp CT 5gs X ei "F S¶ "F CF t` tr p Ch h gX CT oV "q F CF "r ©R tv T yp |f yq r q gp w C` a b |F gp r gT "I bP gpT t` §è §h B Cs ¥ Ur 0R &¤ 5q ¢X Cc gs Ui p gf p"i P p 5 C X "s Qr tT 7p tv p{r "f ©X "F "i tT P gp gX 5T gX tT Tgp Uc CT ©R Uq ` ©R t` (R xh "v gXCF 5Htr gh! CFX Ur"r UR tr ! h ts "ICI Qq tT gp gF gT Gi bP gp5I t` h u "I g` gF eP Gi oR 5I {v ½F "F §v ©X ©B "i ©8 P $gX S(}H & "!gp &5"H G$ H 5"u 6¤

©RoV g! p gp X"r UT 0R ´q "r HgX ©X tsCh "Fgp ` ¦ a

§C ¥5 H # 95 98 7 7 15 $

öPUT "a SR 74 ¶ 8 76 y "` 10 t` p t "r ©p bi píF "v"F "F5T ´P ´T |q !(R ©R5v gX tf gp(R ©R! "I R "H V 7p"u gX ` oV "c "FX }qp}h ©R yi Gi CX 5IX WuCs gh "r r Ur¡(R ©RSR Cv rP r 5H 5r xX gXgp oi GV §XCT gs 0R"I oP5 XCF SRoi 0RtT "h5q ©X bP I ©p bi h gh §v gT gp ©X t` "i Qh xX f
9@ A8 h tT "hH Cr` gF a 5` õ C "F gu"I "T lCF r gT bP

©p"I¡ gp"H U` tq tTCF CF F Cv "I5r ei"F bP gX H

! P "T (H q U gf C` ei f p P t gp

gp t` h


5 ©p "F Cp5R 5`

íq gp F ©R

c

oB 1R r bi F ©p P
¥¤

h "` dR7r gX oB oB Cvgp 1Rr p p 5a

õ

§B p biUi gpo gX { qr

UT gaCr R tr t p p Cu tr Cq (X5q gv ! (P u 0f QP 5` e gX "v GH ©X§ "T "` 5r tr tT %X Cq p § 5` xp"F l gp ! ©p }cDBp CsDA oB r yj tr "F p h bB t ¶ ©R gXH CT X 5I Yi ´H W Cd T bi "q r CF &

Ch Htr gX h "T H C ¦Ch gu "T tF b "`w i H "F 0R Uc 5` X X 5` Uc Uq trX Ch h 5`©R "aH 5a5` Yq SR q oB 7F 7p 4T gp CB gs }¨ 1R(R X© gX%H¯X Cr "u


d A i R Crgp X¯v tr 7p "f "` gX |u T (hgF Uv P 1R &T gX ©R 5a UH§X xR gX bi gp X "q "FgX 5 GV "T WXUR gX©h gp H q ¡ "` yH 1F h gp bi X"r CF tr }H CI gp UT Yh dR gp tT CX eit` "q Cr "r "F "IH 7p0R V7 C
"

tT 5 |I gX 5r5r ´X©R ¡ "FGP tTCI !( #"u '& X p gv©X (Pei 5`§T gX §¦ ` F C t (V h"F gp u tT tH 5T tr ¡ ©XWh SR oi Ch § 5 Cv 5r ¥Ttr X ½F f X h

tr` 5a p gX 7p "` gr H pF (p gp tv pTh "u 5p gu U` ©R%$ 55T &H " ( CB©$ gp7 #"F xUT qtT tr §H tT CFtH "T gX ¨


"r oP gXr gf©p t 5v gp öf hT Uf5` ©RCX gX|u §T r

5` 1R X XG gB 5r p CX (h & tF %h gX¡"` UR"T"H gp X " t`5r d©p Ui 7X C

ei(X v Gv(X gp "F T ·q pUH 4R tTCh (X ev r gX !"`

Ui ¥ X tu(R hgv GVhp (h A "v Ur Cs ©R "r

tTtr p Cp Cq "F1 5vCh XgX SR ei ©R(P 0f 5T "I ! CT d "F H I "T F t` p t

X5r CX UT tr "p T X gX ei A er gp gs }`

XX h ¨ 5q & X gf ©R 5i ` tF h r "I |I grCB gh CF {q gv (P i 5I² C

oiw W ©R"I 5R5r X "T gr ¿ tT 0f"r gX5` 5H "B X 7X "r

h ` C"F r Xx CXX 5 ©R r H grd !gF

E#

t` 5` ©X©R P & 0X

Ch u gX P CT gs H ei 4q"u "v CF 5q tr 7X Ch (r "F 1R tT grgp tF" (h "F c t "c F gr©p bP tF p Cp 5q C gX CI tT ¯q ©p 5i v Uq t`gX p T "r "TX 5a X d gp # íT ( gF 7p

5v UT YH i gX tr bi h 7r

`©X P grUa ©R tF "` ` "H Cr hHCp bP X CT "q tvgs "F p 5r ! ©R

©8

Ch "` 5p ` 5a

$ S( & x %( G$ A( # 15 ©8 7 9 15 C$

"Fhr {rr 5r tT "5` o¶ ! r tF gX "`

p¾h gpSR (R d Uc ©R gpX "ftr tT gX 4¤ X CT &H ¯q

CT7r p 7q ©R0f gr r gp p ¢ ¤ p h ²¢



¥¤ !1 5 © ¥¢ 2 %0 tv gp 5 X r gs Ui CX }h ©XP WP X Uv gX ©R H gT 5q (v ©X wu bi Wh GV Cp "I X "T tq &r 5r U¼ X SR eP CrdR 7Xc © t gp {q"e "F UT Cs ©R
X

" ob U

f ©X½

U` "a5T T ©R

¡

0R Cq bP 5h gp "q gp Ch"` Cv W` CX §H bi Wc "` tr v H 0! F gX bi gXC §X gX ©R CT CF "`gp "s q 5T ©R "`|F UT

gu "F ©Ui "`gX "uFH gX "v "` ! WH¶ 7p t ©pr "c bi Ch "I p fX "T UT "¼ "F 0R 5q (a X 5I gu tr 5 eP Ch SR R
¥T

u



"`

p

öf¶ ePh ¨ oR tr 5pv ©R ²¢gp "T o §F "I t 5` ©p X bi 5r Ch (X X5 7p 5a gX rgX "T "c "T T F tT¡ p tTp 0R 5T 5q (X gX ´v UT UR p tr Ch XoV X 5a F 5r gX gX F"T H t` b p p GV (á #~ 0'! © Q #3 ¥W 5¦ 4¤ 5W © "F "F "e Uv ©R C` B e gpSq SR C`! bi tr ei ©p 7p 0R P 5r "q h ©R t`

" ¦¥ ¡ ¸¢ VU ©0 tr h v U` "u ©R (` H gu p"f "r"F "TUe

"e "F 4 5v ©X ´q ¨ pF F q "F gX tT "`©p "F 5q t`gX p ©X bi ¿ P %h h 6 # Cv ½! ¢ R¤ gF bP gp 5e (RµF gF¨ "v oi yF CF

UT ©R ` }a t (P p 0f h 5` gX²¢ 8T H C "I "` 5i "r gF oq "F P f "` p p %q ©p ©p Ui Ui5q # z ¤ bi 0R p 5q § X µF ¨ gX "` 5 H trgq 5h gF SR

q gX !© "T SA "F (X gX }v v H CX CXX ¾ gv # ! cX §q P gX Ui 7X "T

Cs r "u "T ©RYH "F T "` %F %H (R 8B "F t"F p tT "qp %¥ C x "` F U XX v 5aCv Xtr©X C¼(P "f 0f gsCT 5` "r w G !©z ©R CI "T %q "F ©p tT X 7p ta r p C §r X 5R 5 r

CF gq P gv h (Ptr 5p0f f h "u tr ¯P"F " "¼ 5|I "F hr bi ¡4 p "q Y gf bi5qgX gpgX {H e` § 12 ô) biFer Ch Cs gX tr gp Ct` "qgp "F gX ¨ tT bB5h ¶©R

0RgX 5` q"`gX ©R5p bR 7rX tr "F tT "` p yigp 7h5 gX !©X ¨ä ©3 H7p Uf 5r H (H ! "`"r hvgf

H F rgX gp "T "F tT UTp }H "I t` X gp 5a "` gX H tT CCF WXtr Ch Wq©X YP (X 5rh ©Rhu ` CIgX 5a 5q CTgX gX gs "` YH bi F hH § X "r ¼ §Cu Cq! "cõ §B CF "q"f "F"F "`UT 0R tB sH GH xB GF TD B P r ¡ oP F xä |u §R CT Cr "q X §BCF r "rf5 h tvgX tryp Cu tr Ch gX gH ! ©R bi¸4 Yq ¸1p h62 |u 0"v Cr "F ¸q gX H

"q §F t "Ftr h UT h 0R "u "f ©R "F "` tT }v p p gs "r Ui "F X hv "F tF ©X gh h"I 5q UTtrgX 0Rp "` 5qCq CF 5R ©R 5tr g`Xh ePtv 5p 7 0R Cv"q 1gF yq! 5 q gX e g` ePh (R "f v "T % tT gp tT t` p

Y

" "F " "F 5P xXX Cr "F gp gX gv "r ` CF Ga

0` "¤ ! § 4¤ ¥T
3 ¤! @ 3 3 4 @ " @ 3

©RUH dR ©R( gp 0R 5T gp !"s tToR g¼Ur UR oi (P gF 0f Uq gp 5R "F

( ¯c t 7p5 Cq ©X gp ©R tr "v Ch Ui 5` gXµv tr h tT

bi"F 5r7X k oi h T p {c X Ur ¯H GH qgp "

§W 5¦ 4¤ §1 §¨ 3 §W 5¦ 4¤ §1 §¨ 3 ¢

©RX hr´T p q ©p Ui©R GX "T "F "` bP "` ©p wH bi Ch fgX h H tr 5p èSR UiCT gXUq ©RC` "ro` 5T! (X §U v "# gf ¢` gX "T 5I & ©R "` v 8B "F CF "F tr Ue 5h 1R SR tF tr gX {h p {H "u Uf "` g ©R gF 5` FoP X CF 5r "q ©X "` tr |F wh gr tF" h "F 5v tT gX gp "` gX tCT ©p gs bi ei Ch ©R gX "T ` gF l0P r X &vCs "r "¼ "F C` & r g¼ 5r oi
W ¢ W ¸¨ W ¸¢ W ¸¨ ¸¢ VU ©0 §¢ VU ©0 §¢ ©

¸T ¸¢ ¤ © ¥1 ¢ 3 ¸T ¸¢ ¤ ¥1 ¢ 3

yi grUi tv"v gXgpgF "H©R U` (R X tv r gh

tFC hXi HT UHT Rc v F

¡

Ycgv C

"I tT5r

t` bi P"q5` 5` gr ²¢ (X 5 r Cv

¡

7r 5`

4v 5T

§F
65

5H T tT q` gv5 THF ©p CI gX H tr"r gp vHc
¸¢ C`"F q

7p gr X h tr h "F CX " (X tF (h Uv gX #R gT gsE# v '& Ui "IUR 5q r o~($ §z"` tr
¥¤ !1

©p tv bigh Ch X §F ta r ( gp "u t`©R p p T "q q 5rgX CX"` X C tr gs p Ui oRp "r}v 5) `5i Uqgu Uf "F X " 5a 7p Uq r ©R "c

©R gX ©R h "` 5` Ch &T gp "ct` 5T (R X gv

gX "` H t ©pgT gX bibP Ch©p§T WT U` ©R (V gs 5T Uf Ui "F S¶ "` 5 H h "r tv ¾F gp CX "T CF qX ¡ ¯v ©R #3 S bP©R gpUT "T 5R5e UT tr gX gT bP W` gF ¨F ei F! ©R

gp7X t` r gp 5c gX H H X trUR 5r 5p gs v ei ©R ©R 5`"F (X tT gpCv dR ctT t gp "c "r 0R "fq "u c"F #~ 83 76 H X 4qCI 5 q WFgp 5 gfX 5v (P ©X 0f Ui 5`

²H ¶ C grX Wq ! d¶ 5p gp 5 CI ©R Ur Y` ©R T©R ` "aCI "r½F tT"F %X7p "e ryF gF "c sF 7p r "cU¼ t` CI gX p pq 5` "r X ©R"F 5)$ ~ #!©9 X gF r biX p "r P 50X (XV ghCv X gX q H X ©R

5 ©R ô ( ! gu "T 5T gFgX 0RUf Cq F UT X %¨1R Cp {FGi 5I X § t`©R "` 7p wv tr "` }h pv ! § 3 ©R ä o ! 0' Cs 0F5r CX! 5 5a t` gX 7p CT

íq p ! ""T "r ©R Crgs§¦ gX

S"F CF 5` bi p§T

"` UH ©R oT ! (¼ 5 X X r¤ tq ©p 5 §i gX CThq B gs X tr "r h ôu ! gF Cs bi "r 1h CF 0X "` E# V '&"Hgh UH&F§7 R " q d gp # "F d # x ( 7p gp h "F gp tT íT ©p Ui gF 5 Gi SR SRPgB feP5q dR5`X cgX gv ´H (P r 0f gpgp S4 "¦ dä # © (3 ©¨ %$ "' A( xä !# 5r dR # fc " gX0 0wCT #gs C bP gp t` gp YH öf ¥¢ 2 %0 %q gT Ui"r gX tF gh5H ©XCF UqYP dR "F Cr v ©55v XgX ©E P (B (X§7 "tv |r (X"T gvUT xw F©' 7p ~ %X 5 © "r 5r "F hX

r|H ! p X 5aU ´c 5r ©R p `gp 5a gT p X 5a gX 5r 7X oR hvqW gfT GV CI tq 5p rG p §B tr f gh h t gp B tT gp #" tH p öf h "I tr "T p "u "BtT gX "F §T UT ©R `7X ¥Y ¸X "4 ¦ ¸Y ¸U ¥Y ¸X "4 ¦ ¸Y ¸U "u r CT "I Uq "T ©R T h` ¥ "F tv h ei 1R gr tF tr 7pgB 5q5r (XdR CtT ©p SAbP p %¥ 5q x ( $ "F 5I bi 4Ch5r ©R¾X "f` 5a"F r "F gX UT!H 0R eV "q "f(R ' 95 S"! 98 ´© 7 §z 9 0' bi3 ©p # dP 5r X 5 h X tr tv 5p h SR gp bi pF§c CXX 5a5 gXSR

bigX ©p CT bP gs (hgp PUv" f1R CF 5` "r%r gX trH p ©X tF y gh 5rt` pxX UTgX "I "`0R CT "qhH gs gv"F tT(P t ©p 0f©p 5i 5` ~{ $ 03 ¤§ p V1 ©0 § E3 tr p " ©p CF P Ur 1R GF CTbi gh5q gX!

ei ©R Uvgp "` p©R gu gX eibP YH SR©p q oR §F q t Uqbi pUR bi gXCh gXH $ "r#3 "H o gu bP ©R ©p ¶ 0R gptT ChCr"H pXX "F

CX ©R ©X T C"` "F µH "s "F Y¨ bii ©p P gX(P 0f"T bi "r Ch UT ©h "F bP ` q l 7 Cv "` © tv ©z i "r tv 5q X c "eCr 5r Uq "T %X R

"c µF ¨ ©RbP gp UT 7p 0R r Yh T5` UR ¡gX tr h ©R "` T 5q "`X !¨ gp¯h tH h CI q "F |F ©R"` rT H


f$

"F"F tTtT gpgp gfo |F "F "i 5r C`

tHtH pp trtr %hh P1R Ur Cr1R d¶ gX gp r "T

gp©p "FP 0XtT "F gF tT ¤ pUi gX tF t

p CI 5q Ch bV ´X gp t` gf gp bi íH H gp ` 5q Cp X gX

gX H F p h "F"v "`"F gv CT (P "q 0f CF 5` Ur

wHH gX k "F oB CT "v Y gs gX ©R H "T t`

CF bi Ur p 1R "r r "F p " er ¥"F gs tT Urei p ©RR

p "T tr ©R gF gh T P tF tc d ! ©X u Ui "c gX

Yh gp pT gp "F Yk "F5` H ´X CT µq ¨tF

Ch tT ´X GV "I

p ©R WT "fC "T tT

"s"F §g tTtT gp t`

A 7p©pYh bir oR©p {° gvP (P 98X 0f 5a 7p r "c F hF
P

5` gX ´H "u t` 7p Cr gX)( '& gT A$P pX60 ( ©R tT 5 "F d¶ "F gp Ue "F 1R tT pgr tF t h gp

gX T gX xp 7X ¸ 7r gB 5r 5v ´` gX "` Cp "HX

H "F tT gp B 5q©R X ` gv5a gX(P 0f"` 5` UHor R"f "T "F CI "`

r "I §T ( H tH gX p HUT tr SR {h GV tP 5c "IYF Ur GH UR !er (ugs 0Vdi ut`

"u tT gp T gX X "T wh pg tT ©p ©R"v bi WTxF ©p GP tcp pCq µqf¿ ¨ GF

UT 5q ©R CI d oB Q

"c CF yB CB gh

gX"` "f"I 7F ¿

P

©R T "F H §`h %q 7» or HeH
2,4

X

(x, m)

4,5

(x, m)


bo gh 5v §FgX !"` U 0pX 5 5aV SR X§u bir e q"f oR "F vUv tT (R p

Cr"H UH ©X R P X Ch (XFX gpív X ´T 5a q CFv tr " Chöf CF h gX gq Cs Uv

tr5r §X 7p 7X %r "I 5` gX ¥ gT XP hX5a CT WP Ur gs R oif h 5F§

)2 80 ©2 §¦ ¥¤ 6 T ' ! "! V %' YV 2 9! )0 © 9 UP R )% 2 )2 ! 2 ¢

5qgr tF (X gh gv CF P Uq XX rUr R (h "T"v tr 5p "f 0R "F "q tT "F ©p 7p5 5R r tr h {h oR

f dR 5`tc gpgX "F5ixF (q" q f C`v h taUr tr ©p1R

{HT 5q " G CI "r df"F gX "` "` H 5p bi r R h h 5h 5h

"FyX gqtT gp t gpt p g` "T CF q p H GV Cs "Ir gT 5I (R(r ©R vu &` 5a Ch 7X p gX r "`

h pP GV "f "F"I eP R "I (rCh "T ©Xu 5 5a P X 5H§ 5q ts XgX h q C` ©p "r SP

CTUT 0Rtr gp5q ©X"` 5q gX "` CF 7X "c r YF X ©Rr tv " gp CI oB tH"q Yh oBt`

"vbP ©p 5T biX h v gh "r 5` gX tH gT ! ¸P CF | r xpx eV ©R§l©p g`Bbi ©p

¡

A "fpF "F gf tT "i oB gh R UT ©R 5q C` tPtu yh Uc ©R gX ` eP gp(R Tv v

p P ©R ©X "T Ui 5gX ©R r ` 5a tgX ©p C` bi Wq!0H df tT5r gp 0X 8 ¡ y t` gpl 5H ©R gX

HX Ur URUr tr©R Ch "T ©X gF bP "r p tv Ur gp SR tH GP¯h g¼ "F Ui C`V ¨ 5r 7X CI r Ur h ©R5h ©R"T WT H "F F gv PUv fUR ôr5`

P gp "v 5 `gF

5` (T {X ! # "f & "F 7 "F ©R UT T R bV CF 7p tr pFP 5` X gT Ui "F gX! y¶WH ¨¢ "T w¨ "F ""F

tT

YrCh X "F

©p" bi x#©p bP gp( "` íq bB 5H ¶ %X r RgX "T oTgq tf t p gp h g` 5h WP ©R }q tT ©p 5r 5i ©R Uq "T ©R gF "` "i UH P "FtF gh"` t`hH gp GV tH gh "I gF "T P "

"I "T UT 0R 5q R }`Cs 5q tr ©R gXCh ` gXH 5a "T gX ©R R h h gp 5e gXyT WH q "F5q (XCv gF "F ti "F Uc tT ©R ©p h` 5i

5 gXp gv g

X Cc gs C` #X "r E tv "` "I(P H 0f"T Uq5q gu ©RgX oi "`5` tF

ED E

Ui gX H gptT ©p tH hi 5` p gX H UHh ©RgF Ti

bi

"r tH
Y

tTei Ur |I gp5i

VC`

gp5T 5T p

7X ph r gXpq YH öf

"q ©R CT ´H "F p X 1R

SRtT gu X T f
&7

CT gstF tr r CBoR pi UT tT

U tr xX p #l 7X&B gIp (¼ gp bP"u 5` ©p "T(X 5! 5q gX gX T C` Uc Xtr5v ptrgX ChCu 5T gXCq ©X Uv oR "v "F ogp "F &T UT gX 0R gp "F §T "v 5T p ©X e "c 5R YF pr 5 UR gXe 5R %H r ½F ¾q ©R 5` o |F "F r t h"I U! p SRX "I 5r(P 5` (Xf X

r tv gh 8 ! y T h ¡ pU ©R tv ` gp "`tr Ui h eH (X p ! yv T gs bB d¶oi p Ui5q X (X Cc v 7X r h r 7p x 5p yj "I CT X "F "r "r "F tv tv §vU` 5r dR oq(X &c !0v

CT gs ei ©R tq "i Yh Ui gX gF C` ! "r oR i f Uv h oR tr ªv5p {q § Uv7p©R ©R gTr C` gp¸P tr C` h¨ %q F9 !9 5 F# &7 9 oi H X §¦ 8¨ §U ¥¤ h r5v gX X 5T r ©X tT ph gp Cs ©R tr TCh (cgF oi! CF¸U r ¸2 {u ¦ C2 5R tr h tv c gp tH©R {h t` 7p p p 5a gX 7X CT r oq p Qf u R t` UHgp ©R H T C¼ %q Cs ©R "F "H tT CF p r U

loR 1v ©R ! t` Cp ©p gX "I"I UT§T dR doc ©X Cf ph tv gh"F F"F "e q tu F ph "FX tTUv 5 oV 8 &oF V9 ©X ¨§h § C Xb CX tr X` h b´q 7p |FUi gX "r tH gh"f xF"F tvq h 5 "u X UH "r dR 74 9@ A8 76 T4 5qR gh gX "F C` UH "r dR tr ©p pP X ©p q 5i ©p Uq P ©R "`h p! Ch Wrp gX r tTYF gpX¥ "f

CF "q "F "F 5T "F (X "e v 0R v "q"I gFgT 5 oB SR5r XP 0 # !9 Cq tr h Ui eV5v X ©RgX ´v ícgX 5 oT Xöf tv p !¤"r §¨ " Cr "F gX tT }T Cc "I gs UT Ui tr gf Ch bi gX 0R ©R gq 5` PC

gr "F tv h gp " CF Ur 1R Cr X Cr Uq yR ph 5q X "r tT 7p gr "F t` gp tH (h v "f "F tT p g Ui ©X P8B 55 gsUq ©RUi X"` rtH gh (R F gv X (P r 0f 5` gX(B hHE# '& X $ 5a ¥5 ©X §H P U( %$(R Wv27 x# gf "i ( P $ gX t gpCT gstF gh ei t`0R p gu q oP CF Cr "q gX gF "T oP tT "T ©p F 5i

) %& WV U! QP I B ¸¢ ¡ ¢ QT ) )0 T % V 3(0 2 WV 32 80 A2 4 )2 %!

C` r Uv ©R"F C`"v GioP gX CF CICT q q f |f U` dRr ¥5 H ©X" UigF "rGV tv |I hr t` r p 5q Q §4 X v U&V ©R gX tH gh p 0R h 5q "v gX X ©RCT "c "qpT F

"r gp tv wT©p ti "F }5 Wr gX CTX"f 5ags "F 7X öf "rh tr5H "p wX gf 4q gX tT gp t` "r5q "H gX S CF "` !xr "F Cs h C` F(R Uq gv ©R § eP "` (¼SR tH "uigh "F"F pHtH gp d t` gp UR Ur gI (R oP pv UT ´F%T t©R gp T "F 7p r Cp gX YA X h 5h xR gp q ©R pT h 5q gf Crbi ©pCX tP Uc

"FCp X 5T Uv gX UR C`pr Xtr (h trv 5hY ©R gs ei UR 1R tr hgr 7p CF cgp C` q "I Cr UT X 0R Ch X Ui ív(X v Cr XgX gp r tH "p h gf oV 5i U¼ gf gX0R bi qH p h tI Uf "vgh 0T %0 5¤ ©¤ 2 p 5a ©X ei 5`|è ôB C oVX "c"F "` hF "F X "F tr 5e h CF "F "r §H tv yp b yq f gp h "H &r CF o¼ ¯r

qd¶1R

"F r"e gp Uv "F©R p1Rr 5p gr § SR CF7p (qxH r df©p h gX Ui 1Rtr f gh h gr F tr "F ta "` F CF "c dr Fgs Ha ( fgr h Cr{q d¶ gpX5 gXpv"F "e p tv gp " tH "F CT "r tv yp (X hT gv "F (P 5T 0f g¼ ©R |I i Q` r ©R©p &j

C` tr h v 4 "r UT 5H 0R 4X q CI Cr "r oP r §F h p X "I "` C HgX "` Ch H gX tT gp |I U` r dR ©p &c Ui XC 5p 5T oR gX tv hH h "u tr UHp ei "f u "Ftc gpUe 1R¸` CF "T tr r "F5p 0R"` "qF bP F gp UT gf 0R "i q pPUc ©R "f gh T "T B %F r 5h 4¨ X 5` q gX ©phF H P GV ©R Cp TUi C S ei gX ¿ ©R "` T H ¸ "a "F "F UqgX öf UR"` h

oa ôB "v §T gX ei CF

"F 5 t gX h "T r (RtT "r 7pgv gp gp t` "F gp "rgXgu C"`bP !©p gr yRdR 5`c Cj yX t` df gp Ur YH "F CpUe"F (X1R CT ¢ gs W CI C` gX "q "r CT t` tT 5q tFCs ² Yhtr h

CT gs ei 1R "F 5` t Xp ga (Pr gp0f 5`C` }HtT p 5t gp0X (Rbi hfCv h or gpC gq8¥ &¹ "T pF ©R eVT YoR "v "F 5T C ©X C Ui 4 tv gr h 5` gp yX " 0R¨ ¢ u © "c ¥ gp gp gX }H xe tT Ch hr ôX oVp C "F XC gT Ur bP¨A"!

§ gr o¼CF gf"r gpei R "F ²` %H h "f FV ©X § oi C h ©p ¨A P 5T "vX ©X "r5T Ui ©X¨ (X §v "F "v p "Fgq 5`"T X F q¸¢ ¥1 2 gp SR ! ( ei t`! ©R 7p po © Ch "F Xgp "v h

"F gf tT i gp a tT Cc 7p %q gr "F "`CI GV gf(H 5i·u oq f C¼ CsCI troq Ch ! gX "e p SR hh q ei X©RgX 5a T§T X "a 5qU tF X0R h trxq df ! gX 5v"` gX §H 5T gX ©X CT Ui gs X oiv ´lUi gX |F ²H r p Cr"I F "T gX UT Uq R 1C ©X Cs P tr h tr p p "F F C ! Cd C "fC` r "F CFtT gpr ©R ©R T P F9yp 0X 5 5Vq 8 ©pWq & ´P 9 Uv !9oR "u 5Wv Cv F# gs "I foP UT CI 1R q Cr "F (X "vv 5ToB ©XC CI CX gp ©R "F ¨T ©XtT ! p tP Uv Uc §(R ©R 7p ôv 5` r! X gh " 8p F y "I § CT l gs U¼ q oi©R tF ""F Ui X"I r §T "F q "` (p

xB (P 5i5H XUq ©R "F"` Uv |I#R r|E "p oB F "F oc tT Cf gp tq t xh (¼H gf ©p 5i P oq #a © ©R 5` 8 X y gr ¤ P& &¤ X ! v Cs C "r C CF 5T Ui "I ©X X CT Ui v "r (X tv ¯v tr ghUf ©RµF %¨ gT tT©0 T ©p 5i oqgI p gr C "F gs "` Ui UH t T p "a 5r tF gX h H t` 7p 5r 5rX oR öf v

pat §hh U¼

t` gp H gs WXoi 5F gp 5 5aCF tr gX 5h "T ©R U` Y gX tq "Th tT gp Cp "F C tF ph Cp ©pgs P©p ©r bi ! h ©p öf bP ph gp ! bP ©pC Ci x x 7c p! Ur f 5Rh dr &r hUi 9 X tr 0 tvp # Ch u !9 xXCc Ui 5r X CX v 5 ©R p ½` ©pC ! bi Ckp C(h Uv GV (R "I v 5` gF"v i5Tf h5r ©X X&r Ui X

T öf h Cs Ur dR Uc UR tTtr oV ph "F gp tvt T hgp gp }`xh " ! |F|u X tTX p7rCh xX or § tu7p X h rr ph 0 "u CB "vSR gp UiUi CXCX g UF ©X ©R tP T Uc ©R&r 5` t¼ 5rtr "` pCX 5H u5 ²XCc©R gs %`gp Ui T gX"F X tH` 5a gh §q §B f " h "F tr tT "p gp gf 5i ©R oq T U¼gs ei 0R u q tc gp CI ` Ur R 5 gs §l Ui ôB gX §¦ tH ¸¤ gh 1 F 5 ©R© "e ¥5 2H Q 2 d$ ! "u "I CT 5r "r 5R tv Ur yp UR dr q gs p ei "v ! "F Ug H C ´ |F "F5r ©R"v "H5T pX r |I r §B5p SR"f GP"F UT g¼ 0R gX vSR CT GPgsp oig¼ "I tF Ui CT h 5 "r ©R tv&r Typ t¼

(R H taCr q tTröP vv X 7p FF lgX f %cxF HT ©R(B ¥¢ "e õ u ` (H©X Ui 7pGV F`õ
BA E

5v gX pX hr gpCh5a XX5e X {at` 7p r C` gr tr h gX gp"` r p 5` CC X ©0 gFgFtc gpUiUi Ui X v q "u CI` ra "I5 ©R T q p gr

Ue 0R Cu tr xHtr ©h "p 5p bP gf

"r tF %h gp©R bi ("` ©p guH bP

t gp T !bi gp h©p "` P 5H§q X

X t Cv gp gs T X v ©R "T

gs xq Ui gp gX T ` gX Cs ST Ur !©R 5q` Xa gv tI (Phh 0f tr 5` p gX 4Hd 7X Cr yr X gptv gh"F 5FtT ©pgX Hi F 5v g F o¶ ¥U 5 ¸W hX §W 5§Y gX 94 "T tT f&©p & 5i &Uq ©R "` ¢ tHW gh ¨ §F ¢ © "F ¥W "` H 5¦ 4¤X Wv


¤¢

¨ ¥1 2 %0

X gX! 5` F C`

tT©X CX T URtv ©h "` 5a f UT gf ©R "`
2

yF

¥¤ ¢

¯A U W 5ah"v b ©R¦ & ta U

¡¤ ¢

"f q

gX

CXF eP (X f hgu gf5e (h |I©R

tF h Xq qV TX FH v` rH qa rF

¢¡

|f

#R

k ¢ öf gX oRX 5h X5p 5 5r U |u X R gX b ¡ (h b 5q p ob F p CF

q r gp "F tT gp ©R "` ¨ H ¢ © eV ¥ ©R ¸¢ "T ¥1 F 2 ©0 " T t` p tvgpCF gp 5q5e §TgXX UT gf UfUR "i ©Rtr Ph "T UT Cs gs ©R "r ©R §1 v 2 %0 q ¸T gX § "T ¡¨ tT "fCp "FC p gu § bi "u h tv p q xr 1R (a r "u ©p "` Ui ¤ gF oi xF Cq gX "` H Cr CXr rgX©R 5 gH5` xX C! X8l |F 8B 5r öf "eR h h CF "r p tr gF 5q H ` 5a¸q gX ¶ C` 4¨ "r tv tT gp gp tH C` h v§ ©R "I UT tT ©R gp 5` C` 5r 7XCI %q r (hX 1 (P "F ¸¢ 0f H VU 5` ©0 V1gX ©0 H ¥ 3 CI "r ©Rq UT ©R }X 5` C {F X "c Uf F ©R "Tgs tUi (X"r tT ( "` }¨ X 55 "` ©R ªp gv "v "r ¸ U 5H

T c "F "F oi Yq yF gF CF bPUq XtT Chgp X 5v C X gX Pp X"I Yq5h ©R |F 5r 7X X GVh gu bP 5q1R X gr gp ©X"H "T 5PCF gF

pq "e tv p gp Ur "` UR 5`er Xgs URCq gXtr ©h "` bP %H gp "` gT7p ª¨ bP {r gp ¢ t` (V h "ftF u Ch "F q `"T UT ©l¢ 0R B 5q5q rgXX r"` ´ q r "c oV "I5F "F gXCT tv Uq"` h ©R H gp 5a r gX h 5h"T ©R 5T `(X 5v gp "I gp "T "` t {Hgp "T "F gF "F tF (h 5v gX "` B "H gr 5v P X gX 5r ¯H gX H GV gp q %i SR ei¥ ©R 5q T gX"a

¸T ¤ ¸¨ ¨ "f "F ív di u tcoV gp WF ` ©p bi Ch H "I CpCT tr gpp h "` "v X 5T v (Xta gItT gp bi ©p ©R bP T gp ´c "` yH oV "I pX "T v UT ©R 5T gF ©X bP oi 7p Uv wr ©R ¡ t h 5r yX ¦ !|F R gr 5` gp gX WT T ©R tr 5T "p &` " Yh|F r gF Ch bi X p Wv § ©X T Ui X p q U SRUf ©RpP X i "e "c Uv F©R C` o tr F (h©R (a v T gu § "FUH RUT 0R "c 5q F gX "` f |Fh "H"I tF "ThCF "´r X CF 5a V "r gX Cu tT "T gq©p UT PoP

UT 0R 5q gX "` CF "r 8B gX v t 4H ©p oi 4F gI xF P "e Cq F ©p Cxi gs X Ui r CX µ ¨ T&r r U¼ oV 0R|I F "q r "F5p SR" "f ¥1 gT 2 bP©0 gp T t` h 5q X gXgs U`Ui ¯q SR©X eP5PF u%q gu Uv bi ©R %h gT XP ta8X p ! eP Ur |Rgp 5R (` ¿dr W gugs bPei GV gpu 7r"r F gF (r PgX tu 0X CT&h eV gs Cp©R ei 0R 5q f gXh tr"` 5p "F bR C` Ua

C tv p tr ©p hP 5a gX 5` gX CF tr 5h ©R oV "F tv h gp UgX (R "` Wv {H F oV F¶ Cr § ©X U¼ i R (a "F "I ` "T Fxl CB " CA t` SA p %¥¸q gp "I "FoP CT §FUT gs ©R bi ` pX 5a "r X r"F "T "I ©RF "T T tT" ¨ eV SR bi ©p bP gp "` H 4h xm u yl ©R pi(` gu 7p bP Crgp gX 5e "`gX 7v"` CF gI tr bP Ch ©p gX bi CT §h "q ! tF Cp gh gX tT CT p Uq "r p Cv 5q ©X Ui X Ua dR pc q 5e U gX ©R "` T WH gf hq "i X P "r 8 ! tc"I gp "T ` UT SR "r P gF bi "F ©p "F WP "e (v YF X T ©R tr "F Ch "H gX "F "` "e H "T 5¨ "F CX "` C %H X tr SR gh "i F bP ta gp gp "` U` HdR c tB IH gp GH "FB

H Cs "r "F "( |F"u 8B"`r Ch5v5v 5Tíu (R gX gv r U (P ©R "If y` c gp t` (Xp "rguq (Ui 5R H CrUR r©X P ¨ SR! "T "fi F ¨a "F !tTtr p5p CI "q r t` "u gp oT H gu Cs 5v bP "rXgp CFUq p` UqR §h 0R gqtr "pP gf ©R 5i UTGF TD0R B 5q gX p "` tr

X hH©R ` tr 5a 5p {X 0R "q ts "F Ch ¯X "F gI tT bP ©p ©p 5i bi Uqh 5R trp (X f r hP gp gXtr "F 5p H tT 0R gp "q ¢ F rtr Ch §q §X ts 8F 5h y¶ SR ei¥¢ X §W r ¸¨ gs ¢ roi Q xF "I § "TCq¢ gXUT§1 ©R ugI 5` ePC Y SRX "coitr 5pFtv 0Rh 5q"q A$ 10 7 '& 9$ 10 $ ©R (H gT u P 8X 5 gX! 5`§¤ X¢ qRC "F WP%q tT trp5 p gX U gu ©R bP 5`©p C i ©XX5` Cr P h©h tr bP "p gp gf "` bi pH ©p tP or "r tu 5T h ¨X Yv ©p biyq p ¶ gf

" "F UT v 5r "fgX qtr Ch 5r gX gXCr QH XC` tr&H 7p h USB ¸¢ ©R 0R q (r ¨B (XC Cr ©XUv gX ©X " 5P TUq UR ftr |F (h tv7r p

i " "I gp bP §T gp5e §5 T 7X Qc g¼ or dR oV Uc FoR gFH bP "7p %0 T gF "F"H oi "eCF UH Cr ¥1A q §W# 0x CX 8 XgR SBh ! Uc CI ©R "q g` t` R 5q

& V UP R cI # )2 WV T R )2 # V R T FV cI U! WP T 2 R (' WV & QT WI ! P R T
¨ ¥¨ ¨

CI

UB r G ! gX ôB o" (P "I gX oV"f Cp t 5p Cu öfUv X " P

5R 5q gX p ©p "F gp

©X UT

pH 5q gX CI "H "u F ¯a "I "F"F gp gp5R hr SR h gX gh Cr gX "I gs X h ei5r (X "u ©h 0R R ©X S¶ ta 5` § gX "u

"`h {¨ (H Uvq tT tT 5` 5 Cq CT tr ei5R r pf gX H

5 ` gX ©R |FT r 1R 5q ! ¼pH X 5a

"TC` "r CF tv "r gp U` tH (R h v GV 5 gX"I §T"T UT ( 0R "u 5q T gX "`h F "H CF H r "u ` ´a8B t 5 p X Cs "q tr t`gp gp C` H Wr p p Cq Cq tr T Pc X pap §Ug C p C r ´ }F f 5` "F o gT ef P"r X tT p ©R gXgF oi "` %F |H " Cr "FX tTv p oq U "f ©R "T 5` "F C ` X "c Sl fF §B gr0v 5H ! XCF hh5q"r X 5H f "a X h CF tr gqxF p P "u ©p h "` Ui F"fgX "c "FH gF tT Cp gpei X 0R tv u©R Ch bP 5 ©p X bi Uq h ©R gh "` 1F H gp T§F gX 5 CTX gstq ©p bi ©pi Y¨ P 5r "`"F Cv |F tr gr p §htF (h 5r 5v gX gX 5` "` X "H 5q UH gX R pH CIxF "r "a gX "T tT p Cq bB tr ¶ h gpoB ´ (R biv ©p R tP Ch Uc gX ©R "` µ` ¨5H

Ua v b tr "F v C` q tr h h h ´q "F § ` aCr U¼ X SR ©R T T t Uc ©p ©R bi ` "c ©X ©8 WT $ S("f & xX(V (P f 5 5` X gX 5q tT CF f h tr "p qtT yq p X q t5a 5

©R C` tr h h gp"F gp "e oR oRUv hv ©R T "I p "H gptr (H pF "uh ¤ gX H ¸c p "I CF oi q H xF ©R 5qdf tr 5h X ©R gv h gp gq "F P "e h xF X p q gp "FCI

v ©p p Ui gX 5 5 tr gX p WhT eP X ©R tr 5H h hWT "v tT "F tT "I ©p tT bi A$ " " {H gX gT |I Ui (Xgf 5iv oq gpgX x`"T tT ©R

gXH gp CT Cp "T gs X gF ei tv bP 1R Ch gp ©X gr t` oiCF p H"rh 5H YqXp p 0!t p p#H r !"I CT"F gsbBgv ¶ oi (P 5F 0f 5 5` 5R gX tr H h gp CB&r T hH bi ©p k tP DA UcoB ©R p §` ©X Cs P r Ck 5I oB W ©pgp ( hP gu 5qUi gXX Ch hH gX "F "` tv 5H h X gp Wq " gfCF A$ 60 A$ &0 # 5 gX (` gu bP gp X 5q gX "T "T gF "i P pF 5 ¯f gr 5` r yX "I &q "T gXtT 7p"T tTr 7pgp t`gr gp F }H gp pT F C` 5r f t 7Xh h Cs r CI Ur h pq tR5h Ua ©R X SR S` "r Ui ! ô gX 5q ! hH X r
±0.05

©p§8 bigfP7 &gp P §e0X "V p eB µr§ í¨ p gf tT t¼ p 7p g gr Ui ·F "r 5r gF WX ei ©R ¥ 5e yi gX "` õ xH ©B 98 gX CFX 5q trCr gXCh gX gTgX CT Ui"T 5q gv öf 5p h(P bR "rf Ua gF5`SR gXP Ui

"iP gX¦ P H# ¦ ©R 1 yj T ¸1 i §U bi "q p yj t` h gp i"v H "F "IH Uf C` ©R |FPhR gr trF "Fp hgX tv hCT ts gp gs h f$ S( & 8 F9 A( 4# CT gs bi ©p dP 5r X tTX 5q7p X r Cv gp 5r t` gX gp 5` H gXgX tTH Ch X |I qr F 0X H oV "f"F "F"` tT§H p |u d

"f "F tT ©p "u "e ©R C` "r DA "roB tv g¼gp p oitH " ei p CF5R "q "r"r ! "FtT gf 9$ " " A$ f h tr "p Ch(X v gX oV"` F5H " "F ©X tT ei p 1R Cr ©X X Ui r gX 5 H

Y cent - S LI T /2 Xm


Y cent + S LI T /2 Y cent

S LI T

Fh

"F "` H d ©X H©X bP i Xgp oi f r tH "` gIh H ei 5v C X gs oUi hrF § 5q "u r 5 gX bV (` p Uv(R ©R Uv C`©R tr T !( tT"F ©p "F ©0 ©¢ ` ¥ 1 ¸¢ VU ¶ oV "F tv P gp gX {H H Cr 5q ©R (X ` gv5a PgX

p Ur h "F or XgX 5a "T 7X 1R gf roi (a gu ©R gvtv p P r }qbP gp vgX W "T bi%F "e h Uv ¸U gp©0 B " Uf X 0R r "q p fC` 5`"r gXtv

er gs di u tc gp ` Ph gp 0X " eV CF ©R Ur T 1R rt p©p tr oi gh xF Cr©R (XgF tv bP p 7p ©h pr ! URp 5rgp C` gp tr o`Ch gX Cq CT gX gs "` bi pH "r |ItF Ch gr gX 5` CT yX 5r R§T tr 5p CF¿ 0R tr "q5h 5q SR"F (X CTUi gv CUq (P ©RX 0f t` 5`5 Wh gXgX gX5` gX"` ²HH ¶ ©R g`I tc eP gp (R ` v Uc ©R(R tT Uf"i p ©RP Cq "T tr t th gp gp p íT "T § xF tubP %higp t` |u gp rC` trh (hh Cpv x 7pp 7r ¨§ C5r ©RCX X` D1 G0 §¤ ¢ 2 "I "H CF {r CF©R X"r "H 5a Uv CF ©X ©R ´r P "` "fH U "F (R c "e Wv èUv gf©R "iC` "F "` CH ! ¥¢ ¸ 5r !1 YX § (V¢ gf¨ gpHt` xptH "fh 7l "F §BgF "e biUfUv p ©R©R CTC` § gstr h ei"f v1R "F
¡E



r T

1

iP

bB ¶ gFbi ©p Ui P 5 5R WF xr 5q q X gvf h (P &r 0f Cv tv Sqgp !tH Yh k "a ts CFCh gq©X Pei íh ©R h ( bi ou p GV yV(h "I "v gp 5` "F ªT X H 5r DA(XC¼ oB {vCs tr 7p "` grv "F öf t` h gp r tH hU¼ v5R p"r "F 10 9$ &0 # Cr X "r "H gf bi gh "F CI 5q ! gp X yq 5q CB (X gp gv g` P eP f oR 5` v gX Upr ©R öf 5` h C r CX Xo¼ h "f tT oV 7p F r xX (l CI gB "r 5q UT X1R gv gr (P tF 0f (h 5` 5v gX

5` k oB gX d %H bi t ©p ©p tP oi Uc "U¼ 0RF q § tI U¼gh SR "F eP UH Ch5`eV 5SRgX ©R "Tbi ©p%T 5 bPX "Hgp yr (H"` h "u H tyq h gp 5h"F ©R tT gpT gf ©R "F"F C` "`"F "r tv"e tT h Uv gp ©R e gr C` FGq tr h 8H 1R"ay CF Cr l gq gX ©RP "T T gF Ui5q gX ¨§ pH "` C "H "F%X UH "F R &V Ue 1R ©Rè gr5`

xF ©R q` ©R dR` aHc q "i vT cP p§ ¼
¤

gXX Hv CXtF h


oA
&( 0

%$ 8 9( 0

gp

U oP
'&

gX "u

!

0R 5e gX pCq 5I h (P "`

SB trX gu©X oP Y¨ CI

"FCq ©R gXgf gX "T tr "u §h "F

SR gF{X

C` H gX

Tu `` HT HT T T
$

Yi GV gX

T 5` Ch

!

qF qi Ti T TT Fv av qF H H

5v % Uf "F gX


R CT q tr gp 1¡CX

F# &2 5 gp F & §7 60 f$ ©RgX `C` ta "r p tv "r ©X eP"f bP ©R "F©p H tTbi Ugp Wi wq sh t (R gf "v oi 5 yF X p p §T "I d "T 7X " "r gX "` C` bi5H "r ©p X tv tP gp Yh 5hCF "r ©R 5H Y YX 1 P X tr Cq"F tT hq gp "e ©R c5h "F GV "e "IyF CT gq SR diCI "u 5r "TgX 8 A( 0 #

"T F íT 5q 5 H ei P 0R 7X "i"I "F gu tT pF §Tp hq g gX "fµT q gF 0R"¼ 5q"F bi X WX §F tr CT 5i gs t"T gp 5 h gs ei5` gX tT tv gp hgX 5H
Xi H u Pw ¢Y Y EW a` Y v W

"q t` p "r Uf H 0RU 5qgX gX H "IgX gF"` CT biH gs ©p 1PCT gs ! ei "F 0R 5q X "I h 5q 0f |F X 5` h gr gX p 5` H %q 5`YT C"I Cs ªX "T Ur UT 0R p "r gF Ui g5q gX F T 5 Wq ©R" X gF "T 5a i tTgX ©p "r tHX gh 5QF gX tT u p p U ©R C 5X H YR X gp tvoV "F ©p "F C` 5T "r C tv ©X gp P tH

q 5 Uq ei TX C Ui hSR

"I F CT

q "F "F
w

"I v

r

r §T

! o¶ ! !1 32 %0 !
¥1

Y

5q

5` q

§¤ ¢

¶ k oB ( %¥ 5 gu X bP 5q gp X "Ib Cpt ©pC` "roi tvtxF gF" bP bi gp ©p t` P 1h bb pp § tu CI td¶ p ©p "Ibi p "T Xb p "r ¨ ! b 5p t 0R gp q CT 5 gs Ui CX ob "F gp xF tF gh Cq oa t`gX |f e ©p 0R oi 5q U gX R "` oo TUT ¡0R bi5q ©pX &r o¼ gf Ui öf gI h tP tr tc 5p p ©R XWq "r " ! "F oR Cp C guX C eP C |R Ags b ` w y G § I "¤ c Y CI ¥¤ X 5a X tv h oG "F CI UT §q 0R Cp GV! C¼ "I Cs "T tr tT o "e "F CF "e tr gF5h

©p ei gXgv (P "` 0f H 5` gp©p Cq tHoi gX h xF "` 7X g° r CB p gf 5q}h gX Cs %H r "vUT 5q 0R (X"F 5q gvH gX CI xq XUr ©RhrR T5 ©R ©R gX CT gs "`p ´q hH 5 "F X q "Fr h"T ¯q 5F s CcbP gpgs "`Ui gX5H q ( %c u (a "f tu Ue gv "©R (P gF"` 0f it` 5` Cp5r ¿¨ Ui Y CX Y 5r c ©RA` v© q 1 §2 5q ¥1 gX ¥¤ gp " "F "` "qCh gX gXUF CT0R§T "qtq dghCF ©ReP ©p ©R§ oi C` 5HoV &r (X"F

C` ¢ "r 0Rtv gp5q ©XtH h bi b ¸h ©p "F |H r p X 5a "F"r UH"` SR fH eP %R r "I gX UvgX 5`©R X %T tr Ch oV X "F "v X tv tr h h gp 7p " r |F xq r ©¶

¤ ¢ ¥¤ r%q 5q XCI ei 5p ©R SR ` bi ta ©p r oP CF q "q p CF "qU ©RgF 5`oP ©RUi ©X 5` §PCX "F CstT Ur©p 0R bi "roi xF "F Cqt hgX gX tT ptT Ch U oX ©R 5c gX tH gp gX5p UR CT 5r gs CX bi UR0 0R trt` Cu ©h©p "r bPP "` {qUr 5R tr Chp XPCX "c 5q WF (X ¡ t gp p " h CF gX "r v ©X8 5P Uf p Uq 1R Cs ©R X¤ bi 5ap W X9W tqEi % §TgX "T UT 7X UR ôh "T ! (r "u u h` Ch o`"f(X §fv"F UT p"f

VU 0 @ B2 @ U @ r ¡ t h 5r X PUr 5R drCu gs 5r eiCX u5 gF"e p oPCF"r tr"T "T 5h F ¯F ©R ´ "p C "T X ¸F "c gp F T Cr "R CIS¶ t q gp "F X "e 5a UvgX ©p5q X bP Ccgp gs "` Ui 5H gX X tH 5h "` ©R 4H ` F tr "p gp ! 5` "F C "F X "e "c Uv F ©R T r ¡ SR P p5 ©R "r p` tF Ch X gX "r CT S gp X CF h"` §q !H SR ©p! ei P "f ©RX tF gp©X UTbP gp©R Tµ` ¨ |I gf § oi p xF tv Cq gp gX t "` 5Hgv P hX f 5`gu gX oi hHtF "`gT tHP gpX %T ©R TF Ur "p5R "ftr h tT 7p ©R gr "T "F gp'` & "F g¼"F oi"ei vUv c©R 5r CX 5 ©R ` CI pr 5c Xgv §q (P !f 5`gX ©p5a 7X Ui r CX g "F UF T ©R 0R "F q tT CI©p "r ei "FSR t eP

&( 5 ©$ 7 CF tr Ch gX ©Rtc gptr 4` h x` gp Cu p r oV tT "F gp tv h ©R gp 7X ! r yj 5p 0R i CT C`gs tr oi h CF v Uq gfgh QF"i WP ¼ Ui"F tT X p q 5c C` YHtr h oV v ´F CT Uq ©R ¸` 5r ! X 8B¡ T 1¡eB gh 7p F t` "a Yrp "F }q q 5` 5Tr ©p gX Ui 5` C X p 5r gX {H "%H "F gF tT bigp ©p v or Cuoq u r ! e X ! "` t H Cp X 7X tq i w y b ` C` "F tr tT h gp v Y q p 5q gX gX CT H"q CF CrUr §T¨ B "c F¥ h xu 1R Cs tror Ch u

x 2 Y CT "q tF ( u §B ToR " v 4c |F q 5q CI gX Ur ©R4 "` 5 |u |u Cr "r X f gX©X pHUi gX 5"F gX "F p h r | & r UfpX "F ©R 5v"v "T trgX "` wh YH "f P "F 7X tT "rt p(d ( h %¥ ! "r¨ yh ei f ©Rp "` ©Rw 5T¸ ycgX tT Ch X gX©R¤ "TCT p¢ gst` gXgf CTP "q0X F

eip VC

gh tT p "r "T hF yjg SB i 9$ 90 5q P7 yB gI ei roV Ch F (X § Wv U¼ 5q R "r 5 tv ©R gp 5` tH C Yh gf"T t "i gp §BP "T ¨ eV r 1H "` 5 UH! xX ¶©R ¨lgT oB CB gX tT ©p 5q bi ©R ©p ` bP 5a gp 8Bgs ei 1R "e CFgr 9b ©¨ e "F g Q tT F ©p r 5 bP gp Xp 5` UT CX 0R 5q gXCI ªq"` 4q ©R T A$ 10 ts 7 5h & ©p 5i 5 &q gX "T bB r1R p©Xgr r P5` ¨ yX X r"e 5H gX"a ! tTtF X Ch{h Uv X ©R "F dh b xw CT "F gs "` ei H 1R ¢ gr ©R WT "u 5v 0Rer C gs guC iCoP W CF ô "q CF gh"F"r F"vtv ypCF tr"I yq gh tT

g¶ 5I (V C "fX ¨ "F (q CF! tr 1RgX 5h UTr ©R gToq "F !¸P tT p¸F 0 bB ¶ 5 v! W ¸¨ §¢ © CF "r 5H §X ©8 f$ )( & X 5r gX H gF¨B ¥¦ oP ¥¤ "T !1 YF p(R gv (P ©X f CFq xUr UR Cs tr

§ f& t¼& gp ( "T tH # §h CI q pp "¼ tr xrCq Yr gX Uc CF ©R ©R tH ´T oV P7p "FX CF Ttr gFgs bi gvgT UiUi x "e 0R"c W qCF C¶ gX d C C C §1 ¨ ©R x %( |u 5 5` gX %q "r eih F©R

7p& ©( gr $ µF¸¢ ¨ ¸ 1R "1 5q7r 62 gX 5r40 C` ©R © "r ` ¥¢ tv 5a F´h p 5F X w tq wh oV CF ©R r T Q 5q CF Cr Cq X tr Ch h gX r 5` tu h 5r5r XX §h Ch ©R gX 5` T C X t "c gp F ` 5a p gX "I H "T "`"F tT WH gp CTbV "F pUq 5v ©R§r g t` Fq {h 5 gXyj §X H tT"F "F ©p "e oP Uv F ©R C` gI tr tP h tc v p q X¨µ` 5a " gX "F "T tT 5T p X 5v U ©X©R Ui5` tr gF 7p bi Yr p t gp "I ¨T CT !"q 5qCF XUr r tv ! h 9$gp 90 " 7 |F p& r 4 Ch !8 (X A( Yv &0 x# ©R p oV "F r tv p h r gp Yh" |F X P p 7X "r r"F |u ©R CrT tcX gp r pT5 xX "F XgX Ur tH ©Rgp TT oRgu gvoi (PtF Yh 0f 5` ´q ( |I 7r 5r ©R ` 5a gX "` 5cUT ©RgX tHtF (hh h v u bR a GV 7p"I CT r c Ur oV 1R I"F Crtv hgX bB gp (`d¶ " 7pV |F 7rp r hp or Ch tu (XF h oA 5r pX e C q C B v "I ! ` C "a F öA eA ¨ Cd DA AbB ©¨ v ! e C 1 DA ! 1 ¸ ¥1 ¥¤ 7¢ gF oi µF &¨ G0 (` gu bP gp 5e gX ` l ¸¢ %$ 9( # 15 ©8 7 7 15 $ hq r gp gT bP gp t` h gX H ¸¢ 2 %0 5 X Cv 5r CX 5 {H 5q |FgX C`"r "r df tvtr gpCh gXtH {hCT "q GV "c5 T (X"F tv"fUT h dR"F 5qc tT gX gp gX 5T " CT X "F gs h UT 5hoi ©R 0R tF

1 § ¢ ¨ 1 5 tH h " "F tT "F gX "F "` "e YH Uv ©RhF C` ©8 tr rgvX (P gp 0f "F 5` tT gX gp &¤ ¸ § &$ §¦ GVT ¡ "I gT CT bP gs gp bi t` p h p or"I"f uCT"F gstT e pbi ¨ p Uei %c 5 gX %F CT gs"f ei"F 1R UT X Cgv ´qX (P "c f U ·F 5` ©R gX ( "I%H gu "I©R "T §T t` p er ©X gs %i ei ©( $ "F "F r Uv Ch ©R (X gT v ¸P "f x "F bB #l "F gf bB"e ¶oi tv xFgp Ab "` ©¨ Cq 5` egX H H "F |I "F gr Ue 5` (R X gs bi p "r gF "i R"r "F 5q 5` ©R X ` ga 5a ei gX v Wq GV ( |I öf r h p CI "u ! y y CI q y y b b x "I ² 0YCT §¦ i 8 7p r "r §1 § !¤ © §1 ¨ 8ä 9 "2 # "F Cs "F "r Ue 5F ©R gX C` C` dr tr 5I©R 5` 5 C SR ´X bi h oV ´F p `tF agh tT 8 p ©B "r ¢ "T W {F "uh !H "cCr XµF ¨ Uc ©R " 5`

¸¨

p ©X (h$ S( v gTH ¥¤ bP "r u tF "r ©R tF gr©R CF "H 0R (H"q tbi WR h ©p "e d¶ "Uv p X tT v ©p "` 1 WH "v xF¯q R{P C` "r "`Yr gs 0Y u "Fu 1 ¸ o3 ' gs h oi ©p |F bP §¢ "F C tT X

5`1R 10 C Cr$ X X%( "c Yvx# ¯F öf &( "F h !# Cvr 95 gs CI Ur UR er gs di u tc h©X u5P q bP gp öf ht` gpr H & $ gX §T g Ui ChCs ©R CT 5`5r X ©X p eP " ©R "F hT CTtF 4h 5r %X "f "F"u tTCv p gs Ui 5 5HX "cpX F "F "`CF trhH Ch gFgX biCT "u oR Uv ©R T "I |H U 4a yR 5§j gX oB gT ©R P C` 4X "r ei xF 5R Cq 5r gX CX "`5 ©R´H ` gFUc ©Rbi ©R"F "Ftrtv hgpST v "`B W 5` r X 5h ¨§v gX CT ©X ¸ Cr GP gX CI"` hq v ! "f A$ "F 10 t` 7 p 8 C¼ Cs Ur UR tr h 5a 7X r 5p ©R ( gu Ui gF gX P CT 7X gs 4r Ui X oR q Cv"c r 5F 5 {H 7X r"f 5p "F tR tT Ua gp SR t Ui p gX "F or tH fhf h ©p "I &P t` 7p gp 5rF bi "rtr gh"F F ta©R gp T `tc gp X hT Cq w di CB y "i © B ` w XW gaxi eiCB %R y "i ©R © B %T ` w ©R W ¥1 ¢ 5 ©X oP UT 1R Cr 2 ¡ (ä ©! ¨ (v pq ta p bR 5a gF gX bi 5` h gX ©p H ! Ui t` {CI gp 5q H gf(X "i"v {P"F ¨ H öf §1 hWh Cs © ¸¢ §1 ©0 T 5 gX ©X "F oi Uv Cv5R 5rUr X! &F GV ( |I

©R UT §7 gp Uit` Ur © "a gX C gX gF "r ` ei gF oi C`"e bi "©p §B 7p X gq 5 "` Cvtv gp pC` X § ¥¤ xFgp X r CX ¥ gp 5Tgr

5q o¼ 98 (¼ gp ©X {T gf (X gX"q 5rpeV ©ptv 4`gp gs bi "r§ B& gXgX h B (R gH tr5a rgX |¢ ©¢ XUT 0R "fgp Ur©0 (` 5q


"f "` gT |F bP gr gp 5` t` gXh `7 9 f65 h $ (r ©R"u |u P "` Cr |F gp X gr"Fr 55`tT gpgXgX gXoi "TxF tT Cq p gX Cq "` tr h tv CTtF Ch gh5r xX XtT pl "r"f "T"F SRoR § i|v gs 5r 5r Ui©R X ©X {` ©p5P P tH 7X h%I %r X 5a t 7X gp r eigh 1R "F gr CF Cp "r X 5H X "F¸¢ ¸T "` § v gp "Fgf r8 A( h ¨0 # "fx "F( "`H yH CF S¶ tr Ch5 gXgX "u 5H "T xX CF "rl U` (R bPX p tagp "vp "` CF H gF"r oi5H5r XX h ¡ |T gp SR §r " SP gF "!Cs Uio tr XhF p Ai 8B § e 0i 8B § e v 5q |$ gX f o htT #'Chtr 5pX § 0R ¥ "F"F t`tT p©p "r bi gh"F "F"` v R¸T §¤ " ¥¨ "F ¨ 5T gX r p gu gX bP C` gp "r 5e tv gX gp "` tH h r g 5p SR GV oP "I §F "T 5T XX


C
f

§ P gu 7X GP fr gI bP 5r gs gX ei WH ©R "T oR F X h 5qgp X T h CIh q u xF § Cq "u gX H "`
P7 & F §(¼ 5H tv Xgp 4 !8 "u §T tH yq h o¼ SR



gFt p bi ©p oR 5 5vgX X CT 0¶ gX X tT 5a p t "I ©p tT oi p bbB öfo¶ Ch 7h 9$ (X gr90 v o gp 5` C` gX "r

CF gp tr "`Ch gXxH "T ©R 5 T X tr Uf 5v "a g "F F 5` pX5 X ´q Uf tR "e µa ¨ CF tr X 5h 5a ©R X tv H8 CB 7p r gp7r "F 5r tT ©R p ` A( 0 # ©( $ |I "f tT 7p ©X ri GFtr 5p g¶ 0R (PCr 7X0f U` r dR 5p c 0R q R Ch CI

©R "T tT Uv gp1R (R %T r ôv 5p !gp h oV gp "F " tv CF U5a gX ©R "` 5` 7r 5r ©R u "q "c §F "F CT gX Ur tTR gp 5

gp "fCF Cq hSR "r gp oP gF C´H X ` 5a gq "u !U` t`©R gp 5`

gu Ui gX H ¥ "F tr UT ©h 0R bP q ©p CI bi "rh "Fq t " §F ei |F ©Rd r XUT Ch §R X t Gv "fgp "FgpT tT"F "c5 gX F CT ¶gs eir ©R "I "T "T F gX "` hH SR P X q oA©R C 5T dC wX ¨¢"f ¨ "F H C ¯X CF tr |F Ch !gX ©¶ CT Uf "q 0R CF

hh(R 5v 8B Cp UT gX 0R T "a ¡ "F gT "e UvCI ©Rq "q Cr"r "FX tv

1R X t 5r(r gp gXu "F H C`5q trgX Ch "` gX bP5` X gp t`%q h C` X tr 5a h X "`Ch p gX ¯v yq tT gp Uf q

©p P Ca ! ´ 5 F X "F "e H tv Uv 5h gf ©R 1R "i C` µu%F ì¨ Uv oR v 5q í X tr Uf h ©Rt` t gp gptT H5hhT ©R

Flux, ADU

t U Uf Xo

gX"T tc



8

CB ©p r ©p gp oi T xF t Cqgp gX ©R "` CT ¯H gs ei CI 1R "rtv gp µ ¸¨tH Yh yj|F "fUf 0R"F 5q tT Xp gv U (P

gX T Ui"` "I gX 4H T yH 5 Cp X (X CB Cv tv 5r gr CX CF5 "r©R 5H` "X eV ! ir "I ©R "T C` UT "r 0R tv 5q ©R 0f 5` 5` C gX X H "c U F gX H

Ch ©X oi H ©R T ©p 5q Ui gX gX "` &H |F Cp gr X 5` UR Ur"I UR 5T er gX gs 5` di X u tr tc gp gX tH "` Qh F Ua "F ©R "F C` p SR"I "TöP 5a "T xX CF 8Etr gh

r gp "F tT tv WhgX Ch ¯T ©X5 Xoi 5 (a H gX "u tr gp (h &` v p &q |F(R 8B"e %FUv "F ©R tF X C`gh "r tr t` h

"T ©R ©p 5` T bi X ©p "fCr &P 5q"F gXh gvg`r (PP "I f "T(h 5` !tT gX gp v ! tH ghCs "rgF |F §F{P 5r

"F "F Ue 0R Cu "r tT ©pH bi ©R©p tTP gp gs Ui HgX gT v! ¡ "I t` "egp "F5H URp UUr SRUR eri tags yh di u X "F ©X "F Ui tT gX ©p gH 5i bP Uq gp ©R

tF h CF tr Ch gX gX oi h` v F CI |qCs or ! HgF bP t %p ©p oi 5 xFgX gpyh 0R}` ! o¶ gX 9$ "T 90 "` "` %H UH ©R gX pT "T " q

tT "h "f (X gT Uv Ui Cq"T tT gX p tT 7p '& Cq §7tr F gp5a "FyX

©Rtf gXgpgT "` Cq 60 ¯H tr gv iCh eP C
f$

T dR c t "c %F t gp "F "e H P X CI !Wq "f "F "F tv "e h 5Hgp %X " CF 5R gIh ©p ei P ©R ` X ta rp "r 5r "T YX F X %( ´h x# h §( gp |u T 5r R öf h h CB SR gp i "Fa UT ©R yj t Yi7p 5r 5q dR gX %c C`

Ur öf r Cl 5r Csq hp

Uv ©R C` 1R Cr A$X Crh CsXCs "rrUr "r CsUr tvUrSR gp SR bi

tr (h v 10 7 & F ©R Cr "Uq RgF i tr 5F gX "F C` ` tr tH ©pbi h ©p ¯P P 5q h tr (X

bP gp t` gp H "u "e "F gp X9( UT &0 5R(r # tr "u x Wh UT ( UR "f $ tr "F Qh p "e q gB 5q 5I X gv (P©X 0f Gi 5` 5I gX gv tr pdP 7Xguf bP5`¯r ©p gX bi(RH ´h Cv t5q ts ©p

"r Uv"T UT ©R gF ©R C`bP "F tr§p U`h ©R H |I |F7r 5r5r ©R©R gX "` gX |F §T gr 5` 7X h oi ©p xF SP Cq gX

0 1000

1000

500

500

0

0

= P RF E RR F lux(x) P r of ile(x, y )

10

20 Y, pixel

F lux(x)
30

H qH HF Hi



"F5v g "v F CF rPtr (h GF` v gu r ©v "I ! "T p ©R pr CT r "Igs "Tp 5 "` gX µv f¨CT

tr 5 gh X CF Urh gp bP "F gp bP tT gp5e UT "©R Uv5` ei 1R5qoT gXf gr XtT Uq ©Rgf t`oi

UR tr f hh p gXt` (gp "` "uH}H UR pr CI qgX CF Chtr "r ChX 5H gX WX©R gp xF yT Cq dRgX

5tr 5p (X0R U` ©Roi CI "v5T5q hCT gs ei ´T UT xH 5p h ©R c "` t H"c F

tvq ¯h5h 0R gX"u C X "I gs 7p"T bi tT Cr©p "f ©R Uv "F(h "`v 4 gp xF (T q 0V 5q gX §H r p

gI eP "F h }e 5q gX X ceX ! CI "F "F "e "H ( SR gu tP bi5c gsgp (R 5ebi ©pgv©

5TSR oi X"I tvh CT q 5a pX r ©R"F "e C` "T tr ½hX ´h r "v P(PUi 7X X0f tr5`r h

H"T " "c CF µF Ur Y¨ ©R ©pg` gXP 5r` X Cm gB q 5q X` %H p ©X 5i ²q p Uföf h ©R tr CT "p gs "f ei ©R ` µa }¨ "u "e g¶ t` Ufp 0R q "q "F "` bB gf §oi xF U¼ SR Cq PgX "`!

bieP p0R h "q "v v gvgu "I (PbP "T gp 0f UT 1RgT Ui gr gX CF H "r CF tr 5h ©R v "¶ ou Uf V ©R t` &H yj "a i CF

"F d¶ H 7p Cr7r 5`5e UR gXgX (r "`H "u ´H 5HCI pq X ½ (¼ "T p ` Cq ¡ |q µ gq gp P C` "r(

gf oi xF ©X 5r oV P ©R CF ` Ur UH gf dR oi c xF s 1R5q (X 5r gv GR (P ! "u Cd tv C h d gp tv¨ gp g oB tH gI ( h tP
RF

Cq gX "` (R5a gX pv "` Cq gX" "`"cgF 0f 5` gX " |F r tc p q¨¢ ¨ CB gh Cr 7F gX

c ¿T

Image Profile

40

0Rv C`` gX"` rT H

T q ra


Cd

b ©p 5i 5q ©X eP Wu dR ´c bB be gh©R Ft p dR Cq µc 5r í¨ QX "e gI CF Uitr
3500

d¶ ¥ p gp "I 5hX ©R|q gr

"F CT "T gs tF ei |h R oVtF h "F p tv

!gp d¶ ` h CI gp gr

p "I"I " i |F ¡

CT"T gs CF ei5q r Ch ¡ (X 8B

R©X gp Ui ` gX %v "F t§v gp

yH "e pCF gp "F t` "e ©p Uv

tr 5htT 7p©R sr ©RGP CIC` qtr

¨ gp CoF (h 5r v GX ¶
¡

h V ©X p oi 5 5q gX X CT gv

©p H Ui CX dR gs (P ei 0f 1R

c Q¨ p "F "I "F T gr5` gX §HCF "r q 5H ¡

"e ¡ Uv bi ©Rp gcC` ! X ©R "` GV Yv "I "TGV

tr ¶h v "I "T tT "I p CT (

CF CI 5q Ur ©X 5R Ui "ugs bi p U` (h ©R "v

dr gX gs xH ei u p 5T "F C HhX e

tc ©p gp Ui h` CX p ¨ X ´A Cq tr GV h gp |I

"I p "T "I " 5r gF R Uiíh

" CTgF gs di bi xX r gm gp GF

5r p YX "r dR"F k"F oBtT gp ¨
0

Yc 5` X &r Cq CB& gh g¼ 7F oi

¼r ¿v

1000

100 200 300

Number of detected CR

400

500

600

700

800

900

0

500

1000

2000 1500 Exposure time, sec

2500

3000


X

UfSR tr ¶



gr 5 tF ©X yT oi tH gh" w¤


gp¨X !( 49 Cv ©R tT oR gv "r oi h5 5p "q
GF

CT

1

5r|F xX gr 0¶ CF ©3 r §2% t |u "c Cr ¯F X r Cr 5 U! "F ¢gX ¢ Cv oH 5q ! gX " 5` ©R"u Tgv (P 0f CB 5` 5r X "f "F gX©X H}P s" "F "F "F "T gF i Ue xm0RgX "q"` §FF Ua ( ©Byl %i¨ U gp gX 5` "` CX H© P

gu P ¥ ©¨ 1 gX xX CT gsGl "Fg "T gF gF ei Uh gX {H gr " tTtT gF gpgp wi 5T5T p h §q ©R ""u C` "FU` tr ©R"eh ¤ 1R Cr 5 gX gX wH CT

¨ t 0R7p Cq r tr bi oB p ©R "r CT "F or f (Ri %v oR Cv "H or CF UvgX k H CB 4A F ©X oi v }u ©X öf oi h (v tr u5p 5Tv CF C "r §X "F5 SR CvgX gXF 5c "T gX gF tH Ui "q "F CF "` Ur H ©R t`

h "F gp "F oe oR gf ©R gX T t` tc p gp q f pr h ©p Cs PUr ©X ¯P gF gX R X GV Cta "Igp"s "TgTtT öP"rH 5a ` xX ¡Cr tqoEX gXh v §H X GV pCr X "r 5a F ©X
X

²v bi p gp p T 1R "F 0R ©X 5q Ui X oi 4H F ´F 7p5bP Xgp or Ur r h bB o¶ 5r 5a "IX rgT ¸Fei 5R ¶ Ur

Cs"` 5` trX Ch §v 7X 1F "`r tsH h 5I oVp q"F CcX 5v gsd X Ui gX s ¢ ¢ Cd oB ( ¯ut` 5R¯h tr fg ChoR pX "v "F "F "` H gX ¸U D1 40 !3 F3 UR Ur 5R dr gs Y oP T "F "u tT tv gp p xm(R v yl rµi ½¨

tTCF qW Ur gp T ¥¦ h ei e "I tH p"T

gh0X V CF ©X Uq oi dR tH c gp YTUv (R ts v 5h q "F gX Cv H 5q gX " 5` "F g "T gF gF ei i gFSF CF WiCB Uq p5R eB öf tr Srh Ch !tr X op (R h gf gv 5i "I(P Cq f"T C oB "F tT gp tH(r p |u tr gr {h tF (h 1R 1R tH pr ptr htr gh {vtF h ©p UfP bB 0X©R T ` " "F gT bP gp t` h ! f h tr "p gf 5i Cq tr h ©p u ¥ tc Y gp ¥¤ ` 1 gX §2 fH 1 §¢ "I%3 "eCB tr %h A 5` gf CX "i P CI X q "r p " Cr 5` ©X gX P 5H X X Ur (R h wv " r "F gI "T gp

Ug ©Rei dR"T Uc tT (R gp 5v tT (R CF vtr GV gh CF"I F tr "T 5rCh tT 5` h gX ©p hH P X d 5a Uv Cr 1RoB gX ©r "T CB gF ¥gh Ui bV5` gp tX gpt`5r gp T(X H tv P d X 5r X "Fp eB "T µr ¯¨ gF bP 5 p gX "! gX Uv tT5R gp r tT SR Ui gF gX íi H oV h CF

5e! 0Xx CT©p oP"f gs U"F ©X 5r P YX U ©pgX ¿H eP ¯¨ Cu "FT"` "` GH fH UT § ©Rr gp tF yq !f CI q "Ir f |H 5r "f

"FF$ 5F T 5 (R p Yv gF5a gX trX ©R GR h ! u ! "3 ©X SR "F i tT

5qU gX UR "f tr "F ph (Pt gf gp 0f "i ` |H"T "F t` "`5r7p ! SRgs ¢ GPei¢ &aC gs ¢ ¥ 5I Y "©p 5i "F Cq

g"F "T gF ©p¤0f "t`bi gX X 5aWH or gpCu 5gX Ug gr Ui o¶ CX ¸ 1 " "T tr hgF ©p

5 tr 7p 5r ©R U` ©R %H "f "F Ue dR "c |F gr CF "r 5H §X SR Gi 5I h 5q gX C` "r tv gp tH ´h "F Cv 5q gX 5` g gF ei (R v CF tr Ch gX §T ¡ eP ©R YT "f "F tT p CI 5q gX H t gp SR eP dR c 0 "6 WV 30 WV QT "6 )! WV 0 I 8T V UP R )% # 78P hV V UP R ) 39 (0 QV I UP R )2 WV 2 ¦ " 6 ¢
Ncr (max) = 100 + T exp 0.5

SB

! !1 32 %0 ¥1 §

gF X gpp 5v

h CT F F gpC



Ur UR er gs di u tc gp ©rpv ! GV öf "I h "T r tT o¼ ©p "f 5i UHv dR "F c "` FeH ! po¶ tr ¥ CX tH X h Gq v ©R 5T X(¼ "u gF Ue 1 ©R UT ©R ¥¢ H gp©0 xT C! gs SR Ui (P CX 0f § U` dR yR c "I ·q "T UT 0R 5q "I gX ` "` "a U`q ©R dR CI§ Yc Ur gpR R "F5 Ch ©Rtv gX h 5` tT gp gf "F "i B tT P gp X r"r©R p 0T c! §
x

UR r CI Ur 8B5R dr "F gs "F ei "e u t "` grgp "F CF"T |H"r gF 5Hri xX f pCs h Ur tr SR 5p CIbiSR o ei1 h 1R §2 "a¥1 gr CF¥¤ CF gq$¢ "r P 5H 5 ´h }X (X Cv 5 5q "IgX gX Ub v q p {p (¼ "u "F CT "v gs t` ei p 1R 5q grgX Ui T X c tv h "F gp "F µT ´¨" gF Cp ei X ©R %TC G (h ©X v Gi % 5I "F "` ! bB wH gX ¶ CT g oBor gs ¨u ei &r gv (P(¼ f"u 5`"` gX "F {H C` tr gf gh oi F Ch "s(X U`v 0R "f hq "F gX tT §Tp g "uUi p " Uv Ufb gp ©R " "T "F gX5 gstv CT gp ei gs 1RtH gp"¤ X Y 5r ¥¤ (RyX X Cv gs eo ©R"F CI C` Wq tr©R ©R %T (R Uo ´q gX|F "`f r h CF

tcUv pq ©R gp C` `"e tr CF (hX tr ¨rv 5h Y !©R 5 ©p bi P©p hP gX tT gX p CT gst gp bi CT gT UT gs P UR ei0X tr 1R GVh Gugr CI tFYq©R h tT qUv tF"` h H Uv 1R "I r tT Cp dR gX xc gs "F Ui "` CX "H gp! T©R 5T Cs 1R e ¨ gr CFei ©R"r 5HT "aX tF xF CB ghCq 7FgX "` ¿ ¨ pH gp "a C` CF ©Xta U` gp ©RYP ` 5T gf C X oiyX ta yF p X h 5aCq q

gX "T t gp "T p` oV Uc"r "F ©R gF tv `dP h "u 1R Yr |I F r C`p Cptr t h gp ´q"s ` 5` Uc Ur 0R Uq SR P ´hF%X gX"FeV (R"T"F 5vttT gq"r p tv P gp h§ tH ©R ©ph gXgX CT"` "q %H CF "F"r

gF i |F 5r UR "T " "F |F "` r H Ch X X 5pGV 0R "I q 5` tIX gh 5r "FX ©R "¼ 7` "F p "e F ¨§ 5c C gX CX Gi 5I Yq % tf §¦ gp ¸¤ 5r tr gX p WH d oV 7X F #r "T 5 gF gX {i CT 5r GV pX öP a Cr "I 7X! "e SRr CF 5pP tr 0R f 5h tv pg F yq 5 q X gp

%` f h &r U¼ ¶ gToq Uif gX CI H q CI X yq 7p !¤ Wr ©¨ $4 ©R }T5` X bi gs h eip !1R 5p gr ©R "F ( p ôq h ! 5q 5q X gX q C` "r"f "j BCr X &¥ Ch gX&¤ tT h¢ gp Ua X CI ©R pq§q C` tr rtR h ¡"a v SRCF # " t` |F gp rH Ch (X C¼ §v Cs gX "u GV tT tv gp"Ip tT§Tr oh d§q f ©X

0R q tI gh "F UH dR tc gp t` gp WH Cq k troB h S gp CB " gh gF 1F Ui S¿ X Bpv r gF h bi¯¨ h "r gp "H %T "F "` "f tv CF h 5q ©p ©X P bi h Uv u oR v CF "T |F |I pr r "p "r 0f §F t` 7p t`r ©p"c PµF }¨X ph tvgu "F gpbi "e h tH Uv ´h ©Ryq C` GV"f tr "F "I(h tT gTv gp P tT 0X 7pUf GV ©R gr t` gp H r "I CT gs oi B 5F 5 P ! C 5q"fC gX"F SAC`"e "r%¥ Uv C tv©R Cgp C` k tH tr h (h p v "f C% trgq p PCh h"I gX §T CT 5r "q %X CF ©X öf"r wi h tv tr p Cr 5p X yq©R r " q CI(R 4i q5v X Cr "F 5r ©X "F gX eP "e H SR Uv oi X©R Cv5a C` qgX tr CT(h grgs v

m = P

DC

(X, m)

gX oi X X eV X gp7F "F h5 "h Ug

p

5`" tTSB 5` xP {R g¼Yv 5 1R0 CFoB bR h Ui Gi ¥W "F"f

eigF ioR }v GV "I "I (` "T gu T ¡bP gp 5i 5eCq gXtr h"` ©p H P Cs tr XCh 5r ©pY §1bP gp§ "`"¤ ¸¨tH 5h 4 ©R ` 4` "F FCv 5q 0RgX Cq5` trg h gF gp ei " oR Xp Uv5r 5RgX r H gp oR "F ! tT tT gp ©p 5T bi ©X p oi "r (v "F u |T Cp Cr 7X X h r "F GV tT p "I 5` t X gp 5r ` X Cptv gp7X T gr tF q gh (XCF UqUv dR©R tc gT gp ¸P Hgq P (R X "v 5a gF gX bi gT p P tq X gp {T X tr (R h "v 7p CF r Ur q 1R r gF ©RCX g }T 5` X gX a CT Cu Uq gq ©R xP ` ©p p oP h CF ªq §q qCr X oR r gv "r w 5H ¯X tr "p ¨ gf ¥Y 5i ¨ Uq ¤UR tr Ch1R X Cr hh gX "T¶ gFF3 Ui§2 gX¸ " "F "T gF i ôB öf C h (d or %¥ gf C P 0X eV©R ©R T xT gX 1 ¢ 3U ©0 Cr ©X P X tr 7p r W¨ ©R C` "T"F gFUT 0Ríi 5q gX "` CF "r tv p tr ©p P 5a gX 5` 1RXCr 5a Cr ©X gX ei "T 5R gFUr (RUi WvgX hH f 7h X 5agr %i P GV "I X "T5r íX5T gX X tF 5ah (Xgh tv|F h r gp " CF "f Ur "F 1R tT
¡

gX YX CT gs 0R oi Cq 5F tr 5 h 5R gp r " gF Yv Ui X"H v CF Yr "F UT "F ©R tT 5p SR oP "I §F ` "a FyX CI |u T " Cs ¨B "r ¤ gF¦ P ¸Y 0X §1 eV ©R p bi tr h gh ²p tF ! h tr 5p 5R dR r tc "FfP 5`` gX l H B ©R ¢ ¢ t` ¨ 1 ¨ 5r oR gv (P píH "s u tT gp bR tH 5a p ©X r ei "r gX "T tv WH t`gp 7p tHtT §hgr©p "Fei X 1R"` 5a HgrgX gX F "T C 5T tq gX 7p tF grgh 4Ft` gp pCr X Cr "u Uq U` ìR ©R 5T 5 "I C X (` X

gF Ui 5` 0qgp Cr CB tT X p7p !¤ ¨ T gp t gh 07p 0f Ug Cr5` oBgXgX 5R f Urh CF"T "rUT tHgu gh bP gpgF "q t` 5q xp gX
E

"f %F "F |Ft` p r "r "I "F gT "` P hv X ta X gp 5a YTgX "T f tT h r(p %! X gF 5a biX 1h r p B©p Ui "¼ GX "F "e §B Uv ©R"f (RC` §1 gv"r § (Ptv !¤ gp 0f "# tH5` hh gX ¥¤ H "I or X "T gf5q UT ©Xoi 0R biyF 5q yh CqgX CI "F Wq "` CsH tr CF Ch tr gX Ch "T 7X 5 gr X gFªr P 0X (¼ V "u C " CT ©gs ei gp 1R "F gr tT CFp "r g 5H dP X ou V"u GuCv gs ¶ "s UR tT tr 7p h gpr §T eV h(R 5v Xr ©p5r gXUi CYH gX GV "` "F gF UftT i ©Rgp 5r CTCT ½X Uqgs ©R ei yj 1Rt` h yi gr CFpgp "rUrC` 5R5H "r drhX tv gs gp X ei tH ´ "F 5 ` gX ôl "T CB tT DA7p oB r gp ©Xt` gp hP H Ck }h Fei ©R C5q ` gs(X ta tvUi p hCX "r "u "T gpUH §F dRyT c oR ´h "v GV tT"e "I gp CF 5T 5e tr C %X5h

©p &r oP U¼ U ©R C`"F "` tr "e F (h UaUv v CpgXX X gp"` tq xT{H gp Ui tv (X h tvgp Ch " {H"I5q X"T GV "r UT tT0R u"r 4h ©tc gp ! r ` gp oB Y eV oR 5r "v gX ©R "F"` "FH

©R T T "c "F "F "` ©R C` tr (¼ h "u v©R C` tr ©R h C` GF & 0R g¼ Cq &i xX "F C`l tr 7p "I gp CT 5e gs gX bi "`p gX 5qtT gXgp "`tT "h 5TgT ©X bP Uigp X t` oV WX "F Cstv hUr gp0R Ue c ©R èt` p "r

m

X

0.04/ 10 - 4 = 0.016

" `

CI eBr r

(R 0R5Htr


v q r F T H pv Xq eP l` T r

tvv hH v m rtr h rH fF a vh q F


Ck

bB o¶ V¤ 40 43 ¸¢ 5 Q 51 4¤ Cr5 ©X gX oP 5` UTCX 1R5 ©R Cr T(X }v r öf "I h "T r UT¡ ©RSR 5`tP 5c X CI h §q¨ h gT Ui X {q "T gF "i P 1R "F Cr CvgX 5q "T gX gF 5` Ui g gX gF H ei (R X v5a gX " "T "F 5T tTgX gp tF 5Tgh ©X t` gpoi tHv gh {u gF GVP "I F "T 5 "f X "F Ur tT 5R ©p tr 5iCh CqX tr h1R ©p 7r P 5r d©R X ` 5r Ua X©R F 5q ôõgX C`GF tr oB 7p x 5r CB ©R gh U` 7F ©R ¿H
P
DC

(X, m)


C

"cUr oRwF

Ui oR "v Ur 5F gr "r 5a Gi
¡

0 "F "v 5`

èT

Ch

ei

5 ¯q gs eiF ©R e gX 0R §T Cu "rd %h |F gr Ch FgX ! b 4v gp%F ´` ©X ©R b G ! o 5

5a ©X ©R ei URT 7X yr Cs CtF Yh gs Ui" gX ` {H CI q Cs bi C` p "r "q tv "F gp

tr CX "F "r "` tH

¡

¨

CF

g

Pp R

hg "q xm p g "xF dR 0V "¼5 §¶or "T 7p

¡

T gX "¼" "FgF ©X oB P ¨ gTtc ei gp Pu

XTc

gX F

Hvi qP

X

¥¨

!
98

¥¨

yH tc "f tr bP XF gT

Ui gF UfT tT 5` tr r Cr Tq ©R y 5 X

U

e ob

T

v"F"F

v ! ©p p q"f gp "ToB pUr "I tr 5 UR5q 5a 5R 5a

"u gh tr TgXgp

gp gX §B X tT SR C (v "I 5` ©R v CT r X gXC íX tH Cs T H tr Cs gh "T F$ 5a"e"` Cq |FYq gr ©R"I gs&r oR "F 5qW` "` ©p gF 5T
¤¢

g h

% gp X trgX 5"F trtr

gF5 5 tq %T
3

Cd

gX gs §H Ui (X"F tvCv h 5q gp gX T 5` Cs ©p tr bP Ch gp gX "` "T 5H tT X 7p gp r ´T oR CvCI trr p "I h tH fgh h 0F q ! gu¥ UiC gX oB H SR hq Gi "F "H5 gX "F "T "` UT tv ©R h 5` ©p P CI yF P 0X(V 5V"f q "F "e X taF xp5c gX f$ S( p& ©9 ¡ "r "H gf 5i Cq tr h ©p P gXCF tr C` Ch "r gX tv (T gp 0V tH t` xh p 5r"f YX"F tT X p 5a gXU (R"T tv5T gp "F v "c gF i §B p |F ©R©p r 5TUi CCX"I X 5` Y¨ X gp 5r qW yT X ©X oi (v u GV "I ©p"f tT "F gpbi tT ©p t` gp pbP 5T gp(q ©X "`u oi 5H bR (v X UR"F "r "F UT tT ©Rp "F U` "u 0R U` q ©R 5 x "s ( 5` F$ " 49 ef U "r 1F tT 5v p Xh

gF "¶ ei ¤ t` tr gp 5p CrR X 5q ôCv tr bB p q ´q T 1R 5 "F H "` tv gX X H5r F rtF ghp xm 1h yl ` gX 5R ¨§ tr C xu 5 p X ©Xp ei CI T "F 5q X gX 5r5a 5` oRgX

xv ¸Y Uf § ` Ugh C CrX F gXr h GV SR ghgX H t` r gp ti CXíH X URh "q Ur "T "F (R "` 8H g Cv"T gF5q t

tr Ch !¤ ©R CI CT tq gs gp `gX C` l"r C (R ´ "v t ©R ´T § gF U¼ Ui ©R R "I gh "T "F bi gh "F h X 5a 5 ©X ghoB oRgF bR 5a ©X "FbP p " tT Ch "F ChX 5a X X " v X 5 UrX X gp ! 5T eV (X (R gXei oR 5` pvg

1h p! ©p¶ R Ur&h (R Cs v "r gXgF wHei (R gp ! ©X "T§¶ ei tF UR h CT " gs ` ¨ oi ei "` R pH gp o`p CBtv Uhgp tH Wh 5`gp o o f ef gT Ui X H pH Cu tr X Ch UH ©R ©R 5` T bi gpX 5a Ye ©X "FX tv X |T h 5a gp r 7X 8B Xei hUR Ur oRoV "TX5T gFtr©X h ioi p tr "v Ch CF X tr gX h "Ttu gp 5` Wv "v t`gf p "i 5q gF GV ei |I(R pvr

B "r "f "F tT hCX h x ©p ! ¸P gp F 4¨ (a "u F " ( gu di Uu GE UFCv tr ©R gh ( "F gu " bi ! xh C "F tT gp©X 5TP ¨ ©X oi CF oR 4q v "F X Cv 5a 5q gX gX "T "f 5 "F UR tT tr p &h 5X gX"r ! h Cr pX hUc q©R 5` 5q C Uv CF k troB Ch y X ©X Cv Ptr h tTpq gTp {h Ui X P pq gX "T"F gX´q "T "T 5T gF gX "i tF WP gh t` CI gX Gq 5I5H y!©R 49 T "f !5 "F 5 68 tT gX& ©p ei 1R yr gu oP CF " Uv CF(R "r Wv 5H gT§X Ui Wq X r "F "p "` gf H bi gh gF "F eP R X"F "T ta gF gp xi 5 CX p 5 Cv GV 5rv "cWX"I gF§T gp Ui F { ©X C ei CF%r F Ur "F C UR "F gs tr "e hUi v CX gugF§ 5H oV X F "F § "F U¼ "T SR gX "` {H GV "I ôB ©pP C i ¢ ¢ r ´A ¤ gp 3 "FgX p& "`H 3 H

g` gT "v P Ui SR xm oi pCr X Uc tr wu 5h 5` g gX gF 5r B CX C`! "rgFgr tr¡ tCh t`gF SBgp "i gp tr tH Ch x ( 5i UT oq 0R q "r"T CI ¨§ q ©X "T tT t¼` 7p UR UiUr CX eibP gp 0R P i r ! p Cöf h©X Y "F gf "v "i

gX 5H gp CF U` "r "F yl tT i7p "T©R 5` wGV "I 5H ei X (R X gp h "F tvoi gp gF gp "F T Uv hP gX "T dR CF %c T! '& gFgX "T P tT 9 f 5q gXX "FgF Cv"i 5qP oi"f CF |I H r "c p fF 5 w grv F ´ ©X "F bP oPU¼ h SR tT pq P©p tr P 5p gX 0R ´H CF pPtr gh "f

U HoP ©R r " "c SR X eP 5"T gX5 "c F tT 5a p gX íh t` 5 gXgE ¡ bi gTCh gX §8 49 7p r gF5q X tF r(h gX "F 5` ©R"u 5` T §T "IgX 5` tT tvCX h YH gT "Fbi gFUi } i "q gFoV ! CF "F Ur tT

}T r "F"I Cv"T rtT p "I Cq 5H tr xX h "F5T F GX "T gp gF T i 5 gX GV gX CT "T"I gs tT"T bi ©p p5` tuX gr gp Ur "F T5R Uvtr p Ch#R gp {X ©E UT gB ©R ©3 ts y` §2 gh trtT 5h " Ch ©R "FgX "` "T CT v gFgs fioi 4q 5F oV5 CF "Tt Cq gp gr5T ` gXP gXtF r gh¸H t`"I gX gp "T CT tH t` (r gh 8BGV " |I "F r tT p ©p "u GP "` g¼"F UiC` ©pCT gs bP ei gp R "` gp 5H ` X ! gp gX yT gT Ui T X Uc q ©R p` "T gF"f "i"F PtT gp 9( # ©9 ¢ "r "H "F gp t` gp H p "v xF Ui "r5 URtT rgp "F 5` "e CX yF 5 ©R yq T x "v xF "f "F q UT! R d gh ©R "F GT 5H g gF ei oR v CF tr Ch aCv tr |Fp Yh r "f"I "FCT gstT p ei yX gT {q Ui XCF qtr Ch "T gX gF "T "i tT ©p gF 5r ei iX SR ! dP Cd ¶ Wu % ¢ ¢ gF CFCk Gi r oB 5I UigpGV X " "I %q CF "T Ur tT"T 1R gp gF r( "i p gu yP tr Ui gh tv gh h gpF " |ICF Ur hr 1R X r 5a p gX r gpCT gsT bi pq p "r gF CF i Cq 5iF Uq(a ©R"u UTg` UR P tr Ch "F X "` H "F § "# ¥¤ 7 p ©p Ui 5R gp tr h" "F oV UT §F ©R ` gp 5a "F X tT

B§ tu¢ ¢ ph Ck gX5i Uq 5H UR X tr Ch5a gF "r "F ©R "Ii gf"T 5iUT oq ©¨ 1 Ch trCh5 ¾h gXCX 5CT ©R"¼gs r e w "u gF 5H {P gX ´HCr ©Rgh FYT ta gpP poP CF 7p tq gr gp wF "F 5T tvCv ©X h tr oi pPh Cvh h 5©R `X ha yv ©R"c d tr X 5p"F 5a 0R Cv gX qtr CT gs oi 5FCB gp§ 7p ` r QhYh r "F gp Cv t` tr gp Y q "F or T gf tF 5T {h p X ©p Uc &r Ui©R r gh oH Y tF ! h gfF9 yi ghgp tT ©p ! P 5 gX T (R CX y{F gp Uv T yR gp Cs ("r u§F c d

5CX Cg o gF %¥ i C C gr ©X©X c bPei gp"FUR Ur"`Cv (R5q|H hvgX ! 5qf gX CI "` q tF gp h T oi 5` 5F 5 Uc 5R ©R tr ` h Q`"F tT pgF Ui g ©X eP P ou gr F ¨§ C X Cr "H ©X CF P r X tr r 7p gX p` "F p t` Cvgp tr H p hdR g¼X ! Uip gXUr 5RyH dr oXTu W " X CF 5a r gX "I"u "T %FYT Csgf "r P 0XCF UqV p CI yhtT Ur p ReV Cq SR5 tr ©R tih (c5`gp 5©p UR bi tr p h gp %T "IUv (R UT yv dR oc p Cfgp tq hHh §X"f "F Ch tT gX p SP 0X §B 5V "f q "F p tT p t¼CX UH 7p©R ¨ gFgr 4P´Fgp "T CXr "F gõ68 p& "B gX "( "T 4$ t` xm F "F yl tI "T Ch higF gX &i eV"` ©Rgp Cv8m 5r bB CX d¶ 5p ©R " 5` ©3 §2 ¥ ©¨ 1 8è ©X "B ei gX©R tT§T p ©X

"I rr c gX gs" CTT ags gh5R uC" r5v h5` X "` U5H " Uv ggp " p9 "F 5H C`X C F"F ( oi "u gF

Uv (R gp "F yl "` ©p gF Ui "F 5q gT u X"F CI t` or 5 grgX ei ¢ u ¢ CF Ur oR biY ©h p "r gT gF q Ui gp©Xtv h(PCF oRXCs tvqr 5R r gF "u bi U` CX¯i gpeV ©R "rWqUv oRtv §TX B 3 U` Ui ©R X

5TWv íi X Yv Uc gT ©R gF Ui UH bi X ©R p íq gF "q ei F (R v t 5h C¼©R Cs` tr gX cCX (X |FUv ©R 5r gTR ChP tT bP p gp "` gu SB ei ©8 íu öf h ©p QP ©X P 5 Q¨ gX "f "T "F "` xH 4h CF rr b 0 yA 8B Wh "F Cv 5 5q kCT gp DAUr oB x` ©R ( "T q ¥ gF DA Cp oB 0P ©X 5` bi ©R Cv g` 5q ePgX 0R 5` "q g tv gF gp ei Ur gp "F bR ` tT 5a gp 7X§l Cr8B u gX "e "c tH gF "H Ui "F X "`q v "T o gF gB "i (X Ui xv X yF q "f "I "F "T UT gF Cq0f öf tr5` gh ©h gX |F bP%H gr©p F"Tbi h gF § gh 5I tT§F § ©p t 5i (r p Uq u UR 5a§ tr 7X U¼ ©R " 5T "F C "T X gF Cs fi tr "Fp 4q "F "T t gFgp igT bP "e ©R gF ` Ui 5 q UR rX "r C v öf WF h r " "Fo¼ "Tgf gF gp bi tH gp ph C` oV 5r F7X r U Uf r ©R h CT¨ tr (p xm Uv ©R yl %H 4Y ¦ 5T q C 5c §X gX H gp }T SR P
¡¤ ¢

YP"F "T "` gF q yH gXCT gsCT oXgX !5` ¢ vS($ & gT |u P Cr "T r tT gp CX gX X 5` v g gppq e "f gT (R bP yv gp h Ui hq p 5 Ur 5q P X gv 0R "i 5q yP ©X fP o¼Xh gf&r 0R&r gX qHgp "I U` ©R gpCh gXt` hCT © ! %A ts R gF5i Cqi tr h ©R 5h T ©R {i " " ! |F X §a5r (R Ug

gp yT p tr gp "i WP "¼ "F 5a "T ©X gF ei i5R gsbi p oi "r 5F "F5 UR ©Rtr &h T ¢ Uc 0 ©R Ug ` oB x¶ § ¢ ¢ ©X Ck ! gX F9 "T ¸ tT 7p 5r r 5R gp Ur X gX CT gp gs "F bi tT p ©p "r ei "F gp o gF gT ! ei Ui p (R gX v( H (u Cs CI xV tr q "F ©R tT }T gp 5T gT ©X Ui oi X Cst` Uv htr oR h v (Rxp "v f X tTh Cr gp tr ! 5p tr 5R 5p dr bR gs 5a ei 7X u Cr tc gX gp CFWrUR r §¤ Y ¸T ¢ of "¤ gf ¨ "(P 0f F 5` §gX §H o¼ gf eV ©R bP YT ©p bi " h "F gh "T xF gF gf 5i o¼ (q gf df 5i gX (q "` f µH W¨ eR IoT Gi c! 5IX CI ta Uq p ! p h "f©p yq or ²H gF df x¶oigX ¢Ft` ¢ p x¶ &q ¢ ¢ 5 ChYq ! ©X " öfoi h"F "F r "T tT gF"hU¼ Wif0R "fh ©p "F P tT p X ©X5r ´XUi 4`q f |I h r or gf p ©pP 0X "F "F UT "T 0R gF5q CXYi bRgp 5a C` § 4# ¸ ¥¤ 7 p gp "v C CF C tr § gh 5R"F trt` pp

< 0.8

! 5U

xv ei ! R p 0"I t`gT ©p Ui P gX X H Ch gX CT gs oi 5F 5 UR tr & "T gFh §i "F bRCv 5a 5q ©X gX ei 5` 5R g gF5r (R eP gvtu h(P 0f gF 5` bigX h H 1p Hh CF xm tr 5hyl ©R wi ¯ bR t 5a q oR ¦ Cs§1 gX ¨ gp pH§R r©R 5a "F 5I Ca eV f h ©R oV "T gX UT UT 5q d X ¸ gh7p gX CF tr (tFtH "vpP
X

p l T p 0R ¥ gX 5R"F tr 7p gX 5tr tr 55r "` 0Y q5q X "T gX R 7pP p

Ch

"T gA t` Ug p %d "r cUr X yR h s m P oB 0 Ug C` UR 5q dr gX gs SR |P ©R ° T Uc ©R ` Ch ! gX g¼"T Cv }q §R5r X "T § 7p 5e ¢ X ¢ k ©R oA H ` p Cv bi gh eV "F ©R bi©R ghyi t` "F7p õ !i R ¶ GV 5q 8 |I "Fei p RtT gp p õ 5`

g or oB gf ( bi%¥ I"q " §F "F ( tT gX gF pH oi "feF ei eVR ©R õ T ©X r ei 5RoV UrCF §h "r tT Uv7p X ©R 5a yr U`X

©p ` r gp(R Tv Rtv hV

gXX "i¡0R oBgp r h p h CIX CIgX q r p ` la gX tv hT P¨ "uoB S gp FT gX"F TT




¥ % ¦ ¦¥

¦ ¦

p&
¨

4 3 ¤ ! 33
¥¨ ¨

21 0) F1 ¦ ¤© ¦G ¤ 1 ¦ EC ¢ (¸ 1 ) & "3 0C 21 0) 7 ¦) ¤© B ¦¥ ¨¸ A@ ) ¥ #$ 21 6) ¤ ¥

¨ % ¤ ¤© $ # © 5I¸ #B (¸ © @ F1 ¦D ¨' 9@ @ ¨1 D % $ ¨1 © ¤! ¨ % ¤ ¤© $ # ¥ ¨ ¦¥ % (8 ¤© ¨© $ # ¥ #©

¥ ¥ ¨$ ¥Y d ¥ (' 5

(' ¤& 1 A ) ¥ ¤ !$ ! (' ¤& 98 71 6) (& % ¤

3© W 3 ¨ #H 2 93 X & 5 48 2 3 "4 & #8 02 3 3 ) & ' 48 2 ©3 3 p& #© f$ 1 "3 ) 2 93 6X p& ¨¸ 4$ 3 ©3 ¨ ( ©3 ! ¨ p& f$ 1 ! f$ 1 ©3 ! p&

¦ ¦¦

p& p&

4 93 X

¥¨

3

©4 ©3 3 ¨ ¥X ! 4 ©4 ©3 4 ¨ ! 4 4 4 4 4 4 4

©¨



71 6) ¤ ¥ ¦ ' 5(& % ¨ ¦ ¨© $ 4 ¦¥

2 93 X 4 & ! ©4 ©( 2 3 2 ¦ '& X ©4 ( ©3 ! ¨ p& ¨ §¦ ( f 49 5 93 §X 3 & ! " ©¨ "© 40 " T 3 ¤ ¨ & 3 ! 2 3 '& §X ¨
©(
¨

4

4

¨

¦
¨

¥X

¦¦

3 4 3 4

¤ ©3 ¤

X X X

! X

¥¨

¥X X ¸X ¥X X
" X

94

©4

¨X

( 93 X p& ! 2 ©3 ¨ ¦ p& 4 "( ! ©3 3 & ¤ 21 0) ¨ ¥ (' ¤& % ¤ ¤© $ # ¥ 3© W ©3 ! p& "4 21 0) ¨ ¥ (' ¤& % ¤ ¤© $ # ¥ 3© 60 2 3 ¦ & ¦ ( 3 ) & ! ! ©3 ! ) & ¦ ( 3 ¦ p& 4 ©( 32 ! ©3 ¤! EX & §¦ 2 3 ! & ¤ ( 93 §X 3 p& ©( 2 94 ! ¦ & ¦ ©( 2 ¨ §¦ ¨ & 3 21 0) ¨ ¥ ¦ (' ¤& % ¨ ¤© $ # ¥ "© !0 %0 f$ 1 ¨ ! & §¦ ! ¨ ¦ ¨© ¥ § ¨§ @ ¨© ¦¥ ¨§ ¦¥ ¤¸ ¢¡ )1 A@ 15 "5 H 5 gp "F tT gp 5T ©X oi o Cp UTgX ©R "T gF " bP CF 7p Ur r©R g` Cp eP X 0R C"q gstv gpUi CXgT bP gp t` h 1 Cp 1F X F UaC SRgs iUi CX ¡ G oB tR 5aVW ©X ! ei UR Ur AoR v p gp X 5atT 7pgX "Tr 5` "fgX "F5H XtT p "c F "u p U` ©R "I 5T"T C tT YX©p bP Cs p tr q Ch CIgX ©q CT !or f xm gX t`yl p %i Gq "F "F c "T ! xF gp ©i"F FtT gpDA oB 5T ©X oi ©R Cv "e 5r gF X Ui
¡

©4 " X ¨¦X 9 Cv 5r X 5Cp #R gX ET


C
¡

0R©p Ui5q ´h "c

"F "` F 5rev QX CB %A Cs pUr r "p 0f t` 7p r gX F3 oB CT ¥2 5r ¥ CX ©¨ ©X X 1 ´P 5` gX eiGF |T 1Rd r 5H ¾X grW¨ "FCF"F
¡

Cv T

"I "T 5 Uh (r tu gr h GV |I ¢ ¢ oA Ub pX h 5 ! GV gF "I oi "T (RgX "vCT gs"F

Cr "r"`tT gpHH 0X gF gF 1R

l ©R H! X poB X X "` ©R gF "F XgF gu

"I tH tr (R

T XgX `

"I ¯i (¼ ©R UT tr f i tr Ck 0C

7ptT 5aYv ! UfgpgX 5r"F p X X WX ©ptT C` p gX UT h oB C0 CC p

¢ 3U ©0 ¢ ¥1 1 !

xm yl¡ eP i ©R "tT gp "F T "T gF p gTb ©p Ui bi X h ìq gh F "I SR "T Gi gF 5I"i "s gF tu tTGi ´h gp 5I 5 4q ² §X ! gF gp 5roi T ©R gF "e"fP gFUg Gi oB 5I wq xm f h yl &r i o íq ¸¢ 5 ¸ X "F 5 Uv Cv !¤ (R 5q S¨ v gX 5` {hgI g oP gF"e UT ei b "e gp gF #` Ui CB 5 p 5ReB rµr í¨ "F X "F 5a C C oB oACkUg 0dC DAg oB(BoB Ck CC oA5dCk d CBoBoB gA Cd 0oA oACC bB ¶ ¢

C ´k gp "F gT bP gp t` h s¨ 8 y gXCX "` CF oV "r F UT ©R § U` (¼ bR Cu wa Cq tr r h o¼ tr pgf Cq Ui §F F gp CF 5T tr X Ch c gX "T t T gp ¡ gT bi bP ©p gp bP t` gp Yh "` 5Hªq " X "F5a gXtT gp "T 5T 5T ©X gX oi tF gh(v 4ut` gp tHGV gh "I gF "T P 5 X 5a ©X ei 5R Ur (R v r "I "T tT gp ôtH pCr 8B Xtr hgTCq trUi 5 h X X gp ´q 5v X (R "T h ¯v gF CI "i "Itq P gp tT gpYTgp "5T Cr X F gI P X q CI q gp F § (¼ gpi UT GV ©R "I` "T p 5` "IgX "T 5H tTxX p p 55a gX©X 5`ei 5R Ur ªP{ " 5r "F 1R tT Crgp gX t` "T7p gF r Ui"c gX´F H GV r"I CT "F 5VUi" pq5 gF UR ei gp r ©R WT WT gr p trCF "I7pr 5` ©r X bP gp 5r gp FX "` v pH§ ! "0RU¼ q "F "TgI gFeP SRi oi GV v ©B wu"I 98 "T f$ " tT )( ©p"F '& 5i"T 8 oq gF F9 UioR v5 UR r gI 5 oP tT "( gp 4$ C` 9 %r CF íq tr Ch öf gX h "T tr oe©X gf biCr gpbiX gp }e¯v "` Uv5`C¼ (RXs ¯vv ¨§b h7X "F Ch CrCv gX gX5q "` gX|H 4v 5` h g ©R Ck g oAUg dUg CC Cd oAC CCk 0k0 oAeg k eg 0d Cd5 CC gT Ui } k%k gYg X Qq 0 (AC CC Ck "I "T CC oACk 0Ug gF "i CCdC 0CdCg P ¨

CF tr 5h X5r CX q X5c 8hgX gp T tr |I Ur¢ ¢ URgr Ck tr 5` C Ch yX F t 5h Uc7X UT ©RCr©R gXUH ` ©R"T5a bP ©p bi h I gs (R biv ©p 8B q P "T 5r " "T "F 5T "T gX gF tF Cu ªT Cq tr "I h CI " q "F "e tT A( !# ( F$ (Hxmp "u"u yl 5v"` Xyi F 5q"c gF T ei (R f ív h d d ei 5R C (A0 C oA(A Ur (R

k "T CBWq gFA Crh %qgX ¢ "F 0 öf ©R Cq gX gX tr "T 5` h GV "I 5a8B UR"T "` P gp ´v "` Uf trgF H " GV ©X Ur tT" gXgp "` URX tv hgX P Ug C CAC0d CAC0d "F "F

CF"F

oA C oB 0 0d oAUg (BCB oA CCd 5Ck Cd ¯kk Ug oBoB C CUg C0k k{g oBoB

CC k CCg dg 0dCC g ¢ q

oB 5d Ck (B oBoB CCk C CBoB oBCB oAC kk CC (BoB gBoB 0Ug gg CC CBCB

oA C(AC oAC 5a ©X

w t gp gT bP gp }h CB 1E C 5"s "f8 y "F ltT p gf 5 Ui gX gX 5r CX h ©R Cu Cq tr h tr p Cq 5r X hh "r q R CsCh (R trgX gv Ch 5` (P gX f CTUc 5` gs©R ·H 5F X5 trCs hgTtr ` h " "F tT ©p Cq ©p wPUi 8 gX yr%H gp l r5 CX F "I 5 "T ©R h` 7p yl f"I gh t "I UT SR bi ©p P h Gi W "FUv R" gFE bi8B p gF q i oV 5 "F gT ¸q bP !h gh WX t` gp oR tH "v gh CF gF tr CF HUR tr !"I "T 0Rp 5qCqGV ©X5r |I CXbP r©pX p 1h bi ! gh"` "r yl gF tr 5I ©p gFp Ui 5 ©X 5R Ui r gX AF CFCF gXh GV(H 49 9$ &0 # 5 "r oi Yu gF ei 0R u "c CF 98 S( p& " X "F {h "T 5gF gX xi "T ©R"I 5T gX h gh CF p tr "u Ch "` gX F CT Uc gs R 5F 5RR tr "f` C 5 oB C 5 C DA Ug oA C C Cd g CUg CdC %k CC d gACk CdC %k%k CdC (A k 0Cd 0Cg gg oACk C % CCCd kk 0CdCg kYgg Yv C Ck5Ck 0C Cd (AC "I "T {Pgh h"u H XC q GV UT oi % oB gBoB oBCB oBoB 5` gX t` CT fH CX oigX ` t` 5i xm gF X gX Ur CF xmF "a gF 5`"T´F 5¶ CdC CCdUg CCCg 5H hX

pq X"r Uf C¼ X taUR gp tr h qr ie 5I gp gp (T t` p§h Gitv p·i trCFgq Ch(r P CI f$ q 5q}h tF ©R h C oAC oAoA Ug yq p

gXtT X"` S Ch bP P |H"f 5q Cr 5r tT"I "I P "T t t p 5a "F |F d gB d gBoB oB(B oBoB "I "T

r ©R dR"` Uc v ©R `Yq %¥ Uv "TgX ªH 5T gX "ItF ghgT X tHq "I sP oR TUh gv ¡ (P bi gr 0f©p v 5`bP ( 5H oB 7p T %h"T tT ©p 7p bi r h gp Wq r h ¢ p 5r X 5 gX p CT "v 5r X h q 5a § %i t¼ " 7p "F gr "T i X 5q tT gr "F t` tH h ©R C }X Uv ! gp " tT gp 5T oi Cv X ghgT gp t` h I gF bB 5aGi ei "Itv "T XtH gp ´h5r t` X p }u "T©R "r "I 5q tv 5v§ 5` 5q 5r Cu X X Cq Wh v tr (r SR "F"u XgF bP§h "( 49 "F9$ &0 oe # gf gp X "` X "F "rr 5q gp bP or tH©p "f h bi p trF Cv"v Ui C CB oA C Ugtg C Ug d oA } CCd CdC C oA %k CCk CdC 0Ug kk C Cg CC oAk oA gYg 5h gX ¶ CB ©R t`"T X SRtT "r Uc gX bi "r "u "I ´q4$ C` 0R oAC UgC Ck 05k T¡ 7p 5` bP "F tT"F gp5` X X (¼ "f tv©X|F C ¯k k¯k {g{g bP p 0d UgC CkUg CkC Cq "q

( Uh t`Ui gp oB gpgX "`WH |IC` 5` CX CX F gF h gp gr "F ´u ©X (q p §v "IeV! hq Cr "F bi tT h ghCF 0 oB g k oBoB k oBgB k oBCB ! xm

k CBgr YA gh gF "u%¥ dt` xR X gp!q CI X "F Cr Cv v W 5rUR 5I"r GV ©X UTC` 0R "vbi 5H ©p 5`"r "H Ch oR(X ©X Ck C CCk Ck CCk 5Ug C0d yl Yi

"f tT gp 5 |I"i 5` tT Ueoi Fp tr Yh Ugh gX p 5` u Ui X Uv gT 5T tF g gh Ur7P g gp ei gF v gX "I UT R 5H Ur ei"F UrgF gX "F 5h ©R ©r gF "T 5H h©p ©p oV GP ´q bP 5 {H q©R h B tríh {rhh 7X gu "T f r "T h 7p}P ö¶ ¡ tv X 7p Uf 0d C gB 5 Ug oACUg CkUgtg ¯kk oA5Cg CCk ¯k{g{g g
X

"F wF grP T trt 5q oB gX ¶ gF " "T "T tT UR v bi "T F Ua 7p p ©R |F tr g gBoB d gBoB kg oBoB(B "T xF

CF 5Ttr ©X5h X" "F q Ch gX "c "F g ©X gF ! t` gXgp (R Ui v X gh "F oR hi 5H hv §X GV "Ii CI ( C`"F ! gTtr "I X 5 tr 5a (X5p "ICF (r"T ír 5 X C Ug C CCk CC oA oACk CUg 00 gi GF

©Roi wv u "Fgp 5T "F©X 5` X tv t` gX p µH "r ¨ ei (X oR 5v }v CTtH gh"q 8B gFCF CF tr r Ch X p trCI 7pCI5q 5qgX 5`GV gXCI 5q gpv X t` ph Uv "H URr H pr "u 7uSR tT gpbi §¿ ©p t` bB ©R h gpCT "q" 5d C C 05 eg UgUg C5 CCk 5d0 oB ©R

¶ CX 0R v GV ©R(V Cs tr ©RUi gp §T CT UR bP TgpT gX ´a bP C¼ ©p TD r Ur UT oB CB oBCB oA oBoB oBoB "e gF

C

0d

(R ( (P Ui f X 5` a gX qH Cu u gp (v CFgu Cq i tr ¡h tq gp ( gu i U`Uf ´V"` v "f ©R"F TT tr "p Ch 5i "T Uq 5 5R #X tr Eh X"T p "T er gFgs "iei RP gs "F R p r gp 5c t` X gp F` 5dr ei u tc gp ` "F ts gh"F gF"T oigF Y "` GV ©R "I T "T UT ©R 5` " }V § F ¼ GVCu gX 4H"I tT gfgp bigT s 7X "ICr gXtT ©p H 5 bigX "T gh 5` yF gX gp5H ´X"F B tr (h tv p "c h F9 5 68 ©R R 7p t` p r dr gs 5 ¸i oA Cg C Ck0 CUg oAC {{k CdUg k CAgA kk C5 CC C CC gYg oACd CC #R E

gv gu "r ©RCI gfR gX q t` ei 7XtT gs hqW xH F ½q0X ¨§ h SR Q |F "TbV Ck Ug CC oAUg 00 Ui 5

CF oq f gX UT¸i 0R p 5q ©X"I Cq©R 5`tr h p bP5I gp5 SRt` bi p ©p h GP "v "F tT gp t "r CX 5T g X gF gXp& CT gs"( 4$ CB(B gA CCg C k CBoB oAC 5 oA oBoB CC CC k oBoB CC Cd gA

· · ·

X

THP §CI q hbi hu CI qH pr µv ¨ i ei 9R Ug Cd kk 0kC kgg


C

eo U

¡

u ec qv T` vH Fq T HP P T r` rc P TT

¡¤ ¢

q

CI tT

o b

p ' gp gp©R bi gp 5` gX tc 5C¼P YXrUq

!
o o

©R"F TU` 0R q"¼ "F 5 t` X p r "r h "F "F "F tT "F p Ue d1R ©X gr Ui tF gX h p GV "I T t Uc gp ©R T ` CF tr "F|F gX 5v gr "` g "F }H F tv h ts gp h ©p" ©B CFtP "F tT gp tH p tr h e 7Xb 7p "F gr "`5r CF oRH tr v h Y "u ©p 5Hb"q h ©X CF § t h p ©p tr Ui Ch ¯ gX CT "F "q "F tF "e gh o Cr t X ©p Ch Ui gX gX 5` H 5r oV WX "F X"r tF 5 h gX CI 5` tq 0X gp V "` H 5I X gu 5a biX h Uv UR gp pr "F p tT Urp 5©p öPgX 5a CT ! gs CF ei tr 1R 5h gr SR tF Ui "¼bB"f o¶ t` "F p31 UT %05r 0R gX§ "q 3{H gF ei 5Cs oR o tvU`5` gp1R(X tHv 7r &h Csor ©p tr tu hUih p gX oV &H gX CT gs bi p "r |F r gp "I"f "F |H tT 5r ©p SR bi i ©p %P 5 §B gXp öf U F X ga"I5R P"T"r gX UTtv 8ppH0R 5q5n X gXC r X"` ©RCs"F trC`"F Ch "r "e gX tv (v CTgp gu gs tH bP hbi gp p §` "v"r o gp "F "F "` tT {H©p bi CFp tr 5õ Ch ôB gX

h gp gr tF gh CF Uq dR tc xp ¨j 8B " "F tT gp H gX H k oB § q (R "v "F |T r "f Ui tr "F gX7p t` H ©r p bP"r gX gp "F wH "` "` H vt ©p©R "f biT "Fp (hgFtT ©p"vei bi0R"F gh cbB H©0 T ! Uc ¨ ©R ` "f "F tT4A gp q ©R T "I pc tT p ©R 98 tr ² 98 7( 7 8¢ 15 |¹ $ & ©R ¢ (` gu X bP 5a gp 7X 5e rgX 5p "` 0R H oR tv h ©p Ui y gf oi xF Cq gX "` ¯H bP "r gp "F ¢ "F UT ( tv0R 0'h 5q gp© gX " "` CF ©!CF "r tr¨ gFp Cv "sei o ©R"T #' UTCF S hR#q oz ! gX 5 "` gX íH CT 5r CX X"I íh "T tT ¯F p Cq f tr h Ch tr C "p X "f h gp gp t` (R h xv u fq bP gp yj t` gp i H 5q gX "F C` gv "r (P tv 0f |m "Th UT CI 0R q 5q gX 7X "` gr CF CF "r tr tv h gp "u "` 5H 5` ©X X bP ²v gp ´Tgp 5Rh tc yF yB 5 gX"I §TtT p "X "r"F "5T gX"F hHT gp f C`h "rtr 5ptv h p5q "I (X C`"I gv "r"T (P tvUT 0fgp R 5` H 0gX t`H ©p ôB (V GP "f Uf "FCI ©R qtT "` ©p v¶ gXtr ©R gF C` bi tr h h 1p v ! CF tItr ChCh ©XgX Ui§T gX d µH ©XY¨ bi R%h #X oR"F pH Uv ©RCF ¯Ttr Ch gX"I CT|H gs 5r bi SR p i "r CFC` Cq"r tr tv h oB5aX gX ©R"T §TUT 0R 5q 7X gX r "` 5c CF X "r tq tv gp gp YT "` qpv SR|u ei Cr ©R X T r "a 5 tFgX h ²H gp! "F(R tTgv p (P f 5 UTwX tH h RF tr 5p 5R 5r CX 5 ©R W` gp T tT gF p bi Up ©R § 5` C gs X Ui "c ©X §F 5P qor gf gI bi ©ptP DC ¸# 5 X Cv tr p tq 5h dR c 0lgs "I Ui8B gT gX |F Ui tH X"r gh qgf F bi SRp"I h öP"T 5a"v gF gX "F "i "T pH hP fF |F 5r "`"ugs §HUi (X GV 5 tv gX"ICh "TgXCT gst`gH 7p ei! ©R CrgX C`gX "T "rCT t` tvUq7p gp©R Cr tHt` X &hgp

2

¡ H 5q "T

(R "v tT gH"F bP"` gp pv "` |u Ch 5v gXgX CT"` Ur "H 0R "u¦U¶ ¦ Cv VYgs ghf$ CF)( '& Ur 5R 8 %k Cr gX "T gp tv gs T 8p oi 5n xFgF C "v tT Tp yu"r "T q F tvh ¨Ch ©X oi r gpH gp íT " gp} dr gsCT Uv "qei yR u"F UvC §X 1R t hr gp gpUv ©R C` T 5r 7X &F "T (RgF !"i YPt CpCE XôB tv"f Ch "F C` tr Yh |u "TUr UR5` ergX gs 5H di ©Rh tr C` op "r "f tv |F yR gr 5`¨j gX 8B "F "F |T "` Hr ¡ |u (VCT CF "fgs Cq "Fbitr phtT "rpq

Cr5e X´X r Uf 1R UH "q R tv ©p B eP yR g¼ Ui ¦ X tv Ch§1 gX tr ©5 h "9 7X §h# 95¶ gF Ui gX H bi CqX ©p gX P©R ` 7X pT l hr gp gs gp oi "F xF tT pCq "F ptT gpCq trgT h bP © X 5a gX "` gp "BH ` X R5v X ! gp"T tF5T h X c q Wq r"I h|H 5h 5r ©R SR í` ìi ©p "F bi p"F h "e "v Uv ©X UT oi 0R xH "q gF dR cei (r u % C`tcu gp "r }` tv gp gp ©R tH o` yh V gp X %h"F T gF bi&r p (¼ §u Cc "F "u Cr "` W X H r "u 5§R Cv xX ! CF d Cq ©X tr oi h "F (q

"F5T ©X CF"` oitr %H ChCv gX5rCF ´XCTtr Chgs oVgX bi "FpCT "rgstv h CFbi gp pCq ""rtr hCFCF qUrCq 1R"utr h r q p "u trCF ghYtr ChtF "FphgX gX"F CF "`5q ©XCF CI "rUiq gXtT 7pFpH gr ©¶ Cs "F oV tr t` "Fh gp ptv tH h h gp ¨ v " ¯ CF "F "r 5v|I gF X r ei5r ©RgX|F UTWH r %R tr"I tr I CI"p Uc Uq "f ©R dR gT ²T c Ui p gX gX tr H "T(h CItvtT ppfq "rCq tr5Tyj h X hi v "u µq5r tv ¨ (Rgh gvwF (P 5T0f gX5` gX5` t` "r7p UT gr 1R "F gr "` tF UH h ©R 5v µT gX¨ "` "H 5r UH©R GR "T "Fp Cq" tr"F h "` gp H oR r v ©5I &8z #6 g¼ Yi X 8ä Uv ©R "9 gT # P xX ! "3 © ªz 4 7p r "I |H 5r SR %i ©R ` Cu Ur ©R t` gp |H CB r p p }r 5` tH gXoV ph HF GV ©Rp "I ´T "I "T "T UT Cs UT0R "r 0R 5q gF 5qgX bi gX "` ©p "` F P FUa gX Ua©R H ©R C` C`tr7X tr(h gr h v gF v P "f0X "F ©R tT 5` gp X "r ©R tv T gp ²c "` p 5` gp X gT v bPe gp ©R t` C` h "r tvX gpta 5p tH !YhoB UR C 1R "r (d tv(r %¥ tH( ´h gu Ui }q gX H "F F 5v "a CX t` g gp F T 5 QX gp "F oV tT "F ©p tv bi h ©p gp bP " gp CF "` (R ©p©R "v íPGT "F p |TX 5a r" X ¡ "F Uv "F GT UR "` Uc{r ¯H ©R p &` CF Ur trC UR Ch ( dr gX %¥gs "T ei §At u gp tc q gp"T }`gF"F ªi5v q X 5q ©R ©R 4T ` 5a f gX h C` tr "r5p 0Rtv gp"q tH"F yh gv eio UR gF Ur bi ©R p wT § W P 0X "f "V "F P tHq "uph "f "I "F "T tT UT gp 0R 5T 5q ©X gX oi "` Cv F 5r Ua X ©R C`p tr "I h CT v gs ¸ ei ©R 0R xT gu "f5` X "F tv tT gp ©p T bi ©p "¼P "F UR "e Ur Uv 5R ©R dr C` gs tr ei (h u v tc gp ` Cs "r X gF5a PX X Uv gX CT íH 5r X |u grgI 5`tP yXtc p q q pc Cu ©R5q XC` h "r h tv u gp bR tH a ´h o F "f Uc "F 0R pP q0X c "V P "f gX "F H tT p 5r X U r ©R 5` C R X "c5q ©R§F ` 1R 5a gXgr C`5` "rX tv ¡ gX "f "T "F t` 7pUT 0R Cr "q gX gF CT ei Uq (R ©R Uv ` ©R T "I "I "T |H tT 5rgp SR ( igu Ui ©R gX C` "Igs bi CT p tr gp § "` 5 "v gX 5T "T X "T Gv gF wh "i ¸P "I gTh Ui tP X c q ¡ q "I c "T 5q gF ©R or "` f tH gh gp CF xT Uq dRp c©p Ui "f CX "F Ue ©R r p"F rU` 0R ts q h ©p Uf tP ©R Yc "T tT"F T q "f5 7X"F "e r ©ptv gp Ui "`C gX5` xX"` H m 5 gX ¢ CTSï gs #ä ei gv ©R # CF ¯ "q "F C
P5 (x) sinc2 (x)

© ¨§ ¦¥ ¤¸

V "F

gp §HgX

"F tr Ue p ©R 7p "F gr U` F 0R q gp ´T 5 gX "f "T "F " Ue CF 1R Ur gr ©R tF g` h eP 5v 0R gX yF "T tT ©p 7p bi rgh gp "F t` gp H Cr X 5 r gX µq §T {¨ "r 7X UT r 1R 5c grX 5p 5` R X 5r U (X oR v tv gh Ch F! 0R ¸¢ Cq §W tr ¸¨ ©h ¢ bP Qgp § t` ¢h §1 F 2 %0 "I }HX gf tr oi 4hr xF "I oVCq "T tFgX UT Cp "` 0R C H 5q X gX "F h"` "v F 5T tvUa X gp©R ga 5 C` P X trgX r(h xH v w"u§ q gF ei ©R 5` C ©X P gX {H |I yr |u Cr bBX C¶ r t "I gp CT "F gs "e ei ä "v UR 8v (T"r xutT 7p q©ê or "uöf #3 hC` trwtr 5pgh 0R #"T q YF tI 0! gX gh 7 H "F Cv X "uSr Cv ! gs gX Ui "T X tT tv p Ch Cq gX tr |Hh tr! pd¶ CqY ©5r bCX h X ¨§ Sh ¨ ! ©p5q Cr C UTX X 0R r gp 5qí T X Cc"F S¶ gs ` " Ui l"F gX tT gBtH gp gh Cs F(r ©R "f gfT gT c"i bP P gp oV t` |uF h Cr {u§ X 8p C 5np C ¥ §X CFC` tr"r 5h tv ©R gp Y tH h 5 GiCX o 5I gu Ui UTX R§a 0q Uru tH 1R 5h ©Rr p0¶` trX gh5aF XtF Qh tv |I h r 5q"f p gX "F tr 5T "e gh X tv tF h gp Wh 5h "` 0R gp 5` "u "FX µH vUT¯¨ "I5r |u gX "e (rxH "F u UTr ©R t¼ ` 7p a v gr ©XCF SR !P eií¨ CF ©R tr TgX Ch "a CT gX tFgs CT h bi gs ©p bi "f bP p "Fgp tT gX poP íH CF U "q ©R5 gF X5` oP Ctr "TChX gXGF"c "`F gp íH T gs Uip 5 ©X (X 5P Uv §u q UR röf "r h tv (Xr p Uv (¼ 5q Ur gX UR "` er Hgs di f u h tc "r gp gF ` P Cs 0X "r oV gF "F bi "` ©p H %P |u r Cr p X tT 5Rp Yr U ©R"f 5`"F C"e X Uv "c ©R %F C` tr (V h Cf v gs Gi F "I "`tr ppv "u hq tH"q %v }h p X í5a gX Cu "T }r 5T X tr 5v p ©X 7p Ui gr X F Wq 5p"f ©R "F (UT gu0R "r B ! tv "fgp"¼ "FtH"F h UT"e 0R Uv gp "q ©R "F gF C` tT eitr p (Rh UvUv ©Rh©R 5`T (r C gf X "I P"c |H X F 5q5r Cp gXSR "ip C` CqP "r tr tvgh "¼ gp UT "F tH ©R Ue h C` ©R d¶tr "F ©pCh 5e gXbi X p "` h H5h Rµ p ´¨ ´p (¼ oV upF "F 5a tv(RgX h "vC` C` ©y Cv tr §tr gp p 02 T tq © 5h öf 7 dRh c8vtr "p 5 gfî gX 5i "T (q 't` wf 7p Crg¼¡ gX Ui6 CTgX Uq &H8ä ©R CgX %`

"q "` tv "H gp UH gT R tF½q tTh p 5v Cr gX X "`r©X ¡T ©R (` gu v GV CI|F tq 5r 5p 5 oBSR xX ©eP §RlCB bB gh 5H 1 YX"I 5) "T gX 5 "T #3X (X gv (P 0f U¼ bi SR p eP ©R r ©X 5 eP xX ©R lT t` ©RX©p 5a ! GP gX C CI "T ( (R "ftv h "F "u tT 5H©p "`"r CF hH Cq tr p h ©Ryq tT gTp q ¸P Y 5 gX Ur "u dR c"` CF ¸F "r "` r gF X5 ePtaxX ©Rgp l bi"q h gF ei (R gX "` "T íH tT ©p r 5ip gp i " tFC` h"r 5h "Ftr g`h |T eP rtr (R ¡p y &H o (R "' "v # "F

bP gp §R t` h "H¡ (UH R bPei gp dR R ©R h "`p ¶ 7F "I ¿ ¨ t` tr § 7p gp ¥r % H 5` gX(R oVCI q U%¥ ©RgpC k gX bi ©p"` U(q CT SR"u5r X "I ©Rtv gpC` T` Uvta ©R©R©p Ur dR tv gp5q XtH h 7p SR groi Fv v "F ©R"` TH o3 |T ' r ¡
¢ ¡

I UT R 32 0 WV WV %& WT @ )9 %0 V ! V %' 0 "# T R 3%0 I 32 0 )! ¢

E




C d oB SR ei ©R T "a tF h X 5a CX 5 SR bi h X 5a 7X 5r R Yh F hX ta "F p tT tgp h tH p CI tr "q h UF ©R e T k UF ©RCr 7X gu Cr bigX h "T gpgF FUi gX § H (¼ yjgf 5i i Uq 5R5q trgX ©h C` bP "r gp tv "` gp 5H tH !hh "F GV gv "I (P "T 0f UT5` 0RgX 5q 8H gX "¶ "` u F "c Ua "F ©R CT C` µq trY¨ h v b h A "F 8F "F g¶ Ue ou1R V gr t` tF p h Cq 5v µq gXY¨ "` "H d UHd RQA X "I Cq UT tr dR h Ucgp (R 5vyR xX Cm 5l F 8B oB |F 5r CB R gh h 7F p ¿q


o

h X bi Cp Ua t U` xi

tB sH aH B GF

p F "r t` %T h "F "F

! UH tr eP Ch &R X eq"v hu"u gs Ui Cr X CX
CF SR hCv "e Uv

! o` gX §f §T 5 Ctv Ch X gX Ch §H gX
tvCB &r

gX 7X "T rtT tH! h r tv

5cp X CI "B 5q gr|I r "F p Uv gu UR oP

8B gX gX "T pH 5 X P UrgX 5R gF tr P Ch X ©X pr tT 7pp Cr U (X SR tv P gp `©p Ui

tr bP p CF gp tq tr Tyh 5h gXgX "T pH

oA d CsSR yj Ui"r C¸i CF X Cp©R TX 5c tv gXCh

Uq SR R eit C gp©R ©X "T ©XgT Poi ´X H

tF T P "a ©Rf h

(R gs Ui hH

gX "2 gp X

e

b 0R (h

(X 5 "I 5r bP

gp "F 8B 5q tr "f "vgr gh4 C¼tI biUi "F X "IX h oP 5qCTgF 5v
¡

gT (h

5 ta SE "r

tc bP

w` H Ch UH Ur "`hP gs
2

h X bi

" tv F o (V "F Uf qU X "f "F 5R"u ©XUv oRbi eU SRgX CF 7p r 0Röf htq oVp Cq pF ¯q" "F eVb 5 p RgX 5 "f r Uq "F5p {h r 5 "" oi(P oo wq CFtF |f r 5 GV Cr gs ©X

gp tH§ Gh t¼ tT ©R gp "` gT v trr p5 hxX gp tT ©p bi r g` &P ©R T p ¯v õ Cr öi"` ta F h Ua gr | ©F bB ! pr h U¼ 5r "ftr h gp "F "r Ue 5F ©R X gh CT "v UT gs "F SR ei ©R 0RtT ` ©pq CIbi (r Ug Cud tr f"F 5`( gX gu trh f h5vh "ugXtr Pgp C` U q "I ei "T{R UT

gp7p t` gr bP gp ©R ¸T(l 8B ©p "T WP "F gX gp CT ©R Cs tC` (r ©p ¶ 5q g oBX X q oe" gF gf tr U` Ch 0R ei¯H R CF I 0R Uc gu©R ©p%q {P 5hq ©R H Ui gX ©R "` "H p5H "u©X p p X0R oR 5a 5q v X gX

" 5r "FYX "` gXtT ©p tT biCh hbi pv h "B tT !97p 15 UT SRbi ©p ei gs5h ©R bi 5`gp gpX v "` 5` Yq GV tríh Ch gX 5q CF pq "q XwT p 5r Ur |I gX UR k CBCF ¯Atr t` 7p g¶ Cr"f WR Cs gF gX Ui CT gX § df X r íq"` F orUa

©R C` tr h v TD B p tr h "r H tv ¶gXp H oB yq © gX ²q §X©p P Wq X f"r h g "f "F"F "F H"` tT ´H ©p A bi gX tPR§5 Uc y# ©R CA #`|F SA B5r %¥ e 5r h%X "u"F Cv"F (X"F "` v H X X"r gh CT UTgs SR ei eiR gpR XgsoP r bi"T ¡ p QF t"r h CF %Hrdr gs !7 " ei "Fu 5 tcgT & gp oRgX gvCT gs(P bi0f p 5` gX"F µTUT ¨ 0R "q "I §F 0R 5q X Cc gs C` ei "r 1R 5T grX tFsv u tr 5h e ©R¨ T ei ©R ©R ©R C` tr 5I(h ´ v y

p gh X"r 7F CT ! "r Cs §B eV (¼SR §T pP r h h ¨"vp gs tT gpUi ! gX gX 5` ` Cqf tr h "T %X CF 9 65 `gp t` "r gX CF ¯H UiU SR X UvUi gXyj 1R µT ¨ SR T gp "aei "F 0RtF

5Tta ¿p (X ¨ §v §1 gs ¸¨©R di ¸¢T u tc¸ tc gp 5 gp íT"¤ ` ¡¨ gp yj "` "F r "e p Uv h ©R 5q C` X tr h h gf"r 5iCF oqtr xcYH p CF tr " Ch Uv gX 5R CT §r gfbi ©p "i bP {q ¸ gr ¡ "F &¡ gT bP xF7X #ryq xh or h u "H í (H "u |F ` gp gftT 7p T"F H Cs or "f gT bP tvgT bP Chgp %"F "` (R H gv p (P "v 0f CF gT 0X oPhV oP X CF gh q UT SRS¶ eiCF Rtr Chp "f"I "F"T tT"F bi gp p t` yq h p}u " ©R "F "f"r q "FU` "u (RUT "F tr Ui Ueh xX p©R ¨m"F "F U`bB Uv S¶0R 5R qgF Yh5 # oV (h ( © "v 8¢ & xF |¹ |$ yq & 7 oq ¢ 0) ¨ tu Cq Ch ©X"F #P"F Ue! ©¶©R f"F Cc U` qöi "I "i P P X tr 5r 7p X %r "F (p tH t` p 5q gX "` H p i yr tv 5r gp (R gv (P f 5` bB¯htH S¶ 5q CF X %$ x# E# Cr X ©R SR 5` 5 öi X gX ta 5r hCT (X 5r tc 7v X gp ! trtaUf hh bR gh hF 5q h49 5 " UTUq 0RSR

2

UR Ur UR er gr hq "F 5`}i X "F¯v df7p gX 5r "`dR P gp ! "` 5q ( H7X bi p oqyr (h tu gp"v xX t` h ¨l pu (B CF ©R q gT 5q gp " gT gF bP R v "F Cs ©p F|F 5r ¸¶ R ¢ ©¨ ' (q"a "uCF 4tr "T Cr gF ©X "F "v gX C` "r "F8 & tT§ p "q ¯P §F Uf U

gp xT oR ! "f "F or X u 5q e©X ¨ bi eih ©R Cp gp v y"r§T 5F S¶ 5q X gX5 r gXC` © "T"r gp gs t` bi }h p "r gr CF F Cq tr 5r a R gh |F Uv UT (R5r SR ©RWv ei tT R GV 7p gp t` h eV u SR bip ©p 5` trgX gh ´H CF UrgF 5R oi tr F h "fgX CT "F gs gB tT bi 5q gp p X gT"r gv SRYT p eP gF §R"I oi CTG ¨F gs §B ! ei (R r ¸h bib pp 4h h § xq gI gsoip UiU "I S 0z(R xwtv h S ©p # Ui 3 gs 0R biq gp 1F ´T gF Csbi ©p"r "F "v Ue tT ©R gp "F 5e U` wX 0R Wq gX Ur §H UR dr gX gs H ei u X tc tr gv Ch (P gX 0f CT 5` gs gX bi 4H p ©R(h "v "e xF gF Ui yq 5 oq #R tu t` "Fgp "F Ue (r©R u"F U` e

XUT 0R tq "q gp gF & ei g¼ oR oi Uv §v ©R ttv "a gpgp tF "TtH h h gF gpi GV w¨ "F "I tT "F "Tp h q CI "u5r X tr "F5h ©R"F Ue |I f CcGVr gsp "I uUi "T CcX T gs tv ¡ hUi h gpgr gu"`F §iH P XgXq orfH 5q! (¶ p Wq C "f gs "F Ui tT CX gp % gp Cq t`tr hh §u(q "u 5q { X Ur gv 0f (P 5` 0f gX 5` H gX H "T gF gp i {` ©R F C` "rUv URtv gp§r 5` 5P X q 5r X 5 ov gX ! "T |F H gF S q oi ¨© xF (z "I¡¢Cq C`gX©¨ "r "`' tv PgF 7X bi ©p r bP gp t p"` 5H § pX Cs7X grtr Ch tF 7Xgh CFgr §B Uq tF dRfgh gpgp GV w` gT "I bP "T Cr gp UTgX t` 0R CT hh 5q gs gX h CF Yh Cq tr öf h h (q tr "u"p "f 0R ¨ yB ¯q ei "I ©R 5 "e T X "F"a r "TtF Wh gF 5`

h hq Cs tr Ch tFtr hp gu gX bP CT ©p Uq bi ©R T tr "p "f gf "F 5i tT oq ©p f "B gX CT "r XwT 5 "r gX "I g CT |H !5r 5r XCs SR (r UT"` }H5 0R gX 5q gF"TgX bitT"` pp F Cq g¶ ©R §¦ "F ¸¤ U` 1 0R 5 ²q © S¶ ¥¢ gp tH CT gh "q µF "F¨ "` 5q ¯H X gv oi (P U fR 5` q gX H q ¥¢ !1 32 40 5q XT ghc UT gp SR "F ei "T R 5R "i "F dr WP Uegs ©R eiCF "Futr tc5hU` gp ©R0R tH !"F h tT |I gp "For "Fu©R "e T "r gp 5vgf tH X Ui&h 5q gX gp X WH h"F Uv|F & oV $ F x ©R xä T 1! (¼ p gu gp bP "T ©p 5 bi X h r CF gptr Uq p {T dR gu ½c gXoP µHtT (¼ ¨ 7p "u ta"`p p FUr Ua©R § ©R "e (¼C` "F "utr C` UT ©R"¼ (`"F VUe X©R hh "F CX "f p © "F P (RtT gX pgv ¯H (P 5 f gXF ©R

Cr "` 5r U`(h 5` (V

"v o` f ¼ u C ` "f p "Fh qUT 0R CF "q tr gF 5h ei SR ©p gp hP pT gp 5q "FX ghtT gp UT SRtT 7p ei SR oP UT 5R tr h gp §T "u gX "T ©R gT "v C` P t` "r0X gp tvGV g gp CI P tH q gX h ©Rgp C`#T tr ! h t v ©p bi gXp h CT 5tr gXgh "TUT ©RU` 1RC` tr 7r Ch (r gX tu "` gh "f ©0UT "F SRI tT ei p q R " 5q o "F X t` tT"r p h gp¸ öf "Fh!1 rtT§ p¸¢ U¼ ©¨ 0R 1 ©Xq Ui qtI gX ©R "`GV Wv "I CT "e gs CF ei tr 0R 5h "f ©Rt "Fp"T tT CF C gp "r gs CT U` Ui Uq (R CX ©R v § ©R Uv ©X C` (R P tr %v h 1R v r (r} U¼u R q gr §T E "F §RCB tv pA !Ch ©X t ©X ©poi Ui &Hbi X p 5vgp h 5) yj pi 3 S 5q 6 (X gv x(P 0f bB 4v! gX gF "T bi t p gp "q "T "F gF "` i Uv (X UR tv r gp " x`Cs F Ur gp 0R § T 5q (¼ gX !7 CF X dr gs"F ei` u gl tc gp©B 4`! 0Rv q 1R"F "For Ueu 1R gr gX Uf H ©R "` "f v "F tT©R ©p pT 5i CT 5r gr X "F gT r bP gp gp "F t` tT ½h ©p gh


2

±0.05

©p R d

gX X gI "F " "u ©YH

"v©R gs h trtv gu©R t` U 5`X ¾H"u
¸T

T yB § ¯ " bP bPCF (P yj ©XR R

gp

¸¢ U h`qY Uvc

5` (q "q gF "` (q

#R

ptF UqF



Uv UiC ©R CXX GT t gp gp YF |H "T C`5rtF "rhSR tvi q gp v tH&F h R 5q (X grR h "F ` SR lbi gh "F ¢ p X 5a 0! X C X ta 4p r p u Cc gs Ui gX tH gh QF gX¨§ ¥¦ CT Cgs bi ©p¦¥ ©P 5r$ ¤¸ pX ¸ ¢¡tr p ¦ gu |fbP "FxT ei 1RYH ©p gr Ui 5q CFgX X "rHh p5H Cp QXYq gX "T©R tI tT5`gh p CX UT SR U ¨YH 5 CI (X "r Uv tv UR yp r yq gX q"T tT 7p X gr"r 5h8p C¼5n1R gsC Wr Xbi gp oV 5q e "F gX gT C`7h bP"r ! gp tv te t`gp gp yh tH 5T h gp (X pH "F UH p dR c X tI rgh UT %F SR ei gX R gT P ( &5 ©$ 7 0 §H ¸Y 8 9( 0 F# &2 5 oPW CF oV "q "F gF tv oP h "T gp ´F " |F GV r "I Ch "T X T §v §h Uf©R ©R ©TX CT 5a! gs gX CF ei "T tr R ChT gp ¡gX 8` bPCT pCB gs 5qp bieB gX p µr ·¨"`"r GV X©R 5a "IC` gX 5r"T "T X UT U 0R ©R 5q"I ( X "e guCq "F bitr "T ´hgh gF t bP"F©p p "F eP T "v "F R }¨H |FCF tr 5r Ch ©R gX C` CT "r gs tv bi gp p tH "r h gX ´H"¼ "F GV #~tT gp"I o3 "T ' ©R UT 02 T0R c 5q gX hv ö "` 5á fF CXx¶ ¢ (¢ "I C"u "e ` "F (A µa "Ts¨ o gF %¥ bP C "I {p C gT C Ui(R X gvh¨ ¯q (P (p "` "` gF 5 CF'& bi dr ©p ¥1 gs P 1 ei7X u rT tc h 1gp ·` "F Cv "I 5I r "T C "I UTX r§1 gp "# "F ¸ tT¸¤ gp CT Uq r ©Rgp t`"F Wh tT gp §¦ ¸¤ ©R "vh 5vtT gpgX 5e"` X"H UH q R tr X5p Cq0R trq h CI gp UR gp tr C` ©h "r bP tTgp gp "` e hH q X 5a yj gX CT i "q bi gr gh F "F § f CI Cc q gs ©R Ui tTX gp tv h( gu 5q Ui (X

5q" ©R"F gv` 5a eP gs gv Ui (P CX 0f 8v |I r ©pSR gr iöi F ta §hCp eiCI R Yq X ofF ! "I Cr gT "F GV UT "I 0R "T "q gp Uv "F yR gT j bP "fX 5q oV ©X"F F "ebP ¡ gT bP gp &HCF Cq|I c tr gr hè dRtT (a p²c "u !"`" bCF gh Cq UTtr hSR Uah "!tr©R 5p | C` 0R tr(v gv (P 0f f 5 5` gX gX "T íH 5H "r xX l ! T0R íc 5q gX r 1 5 © ¥¢ "r "FyR ( m xu CF(p gv Ur (P©R 0f"T gX gv WH (P "F0f

SR i a 5` gXC` Hr r ©p |u p hr 5a ©R"F X vaT rUi X qq §FUT 0R q gp t` h 5H § X ¨¼ t`©p yX hbi qhu "F "u tT h 5vt ©pX qi ei "uR h "F v T "i5` gX HP ¶ (R f hv |I|F rr ©0 gp T t`5` gXp rH "F5` gXUe RH


C d

8B bB p " U ©©R 5` ©R C T X "c tr F"p "f "FgFgp "v 5i5T CF¸qX Uctr gp gh©R T CFUH Ur©R CF UR gF"r tr P5 h gX H q "I ©p UT Ui©R X gX gF5a H gXbP 7p"T Cp tTrX ¨gp tv t`Ch SR7p©X ei oir ©R "c&H T F Cp "a gX tF ! "Th or tT upX 5a eU gX ¨ SR "T
10000

i "Fta xh "F ei UT ©R 0R

"e ©R Uv T ©R T 5q "a gX tF "` h

C` tr (h v F gp Ua "F ©R"f tT C`"F ©p

5 tr tT bi h p ©p v

P gX X "T "r t 5¯ gX XCT

gp "T 5a5r gXX !

gF i CI "T gX UT gTCs ©R troP gF Ch F

Ur UR er bP 7X 7p gr bB r

(¶ gs 7 di " u 65 tc p& gp ` "I UT x# dR # Uc (R 5v "f xX "F lT tF gp gh gT CF bP Uq gp §R t` }h GF 5r ²X oB !f ¢ ¢ CB gh 7F ¿
¥ ¥
50 0

5640

100

S/N ratio at 5590 A

150

200

250

300

100

no flat-fielding smoothed flat-fielding

1000 Median extracted signal, ADU

5540 -


Cd d

C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C ©8 $ S( p& %( G$ A( !# 95 ©8 7 9 65 $ § ¨§ ¨ D ¢@ ¨ $ §¤ G 7 ¦) ¤© ¦G F¸ ¦¥ ¨ ¦ ¨' ¦ ¨8 ¦¥ 2¸ ¦) @ ¢ § ¨ D ¸




©B
98

f$ )( & ( %$ 9( # 95 98 7 7 15 $ ¥

" "F tT gp tT 7p r "c F UR "f tr "F (h tT tv p p h "r gp 5T CT X §q {v CF "I tr (`Ch gu7X bP gr gp gF 5e P gX 0X "` V HC X 5 gp gX T CT 5q"F gX"` tTH Ch SR X P XCI 1v5r CX p 5 Gp ©R p x` Cq tr|u gh r 5 0p gX V hC` o 8B tr 5vh "F ©X u Cv Ui 5r q í CX öf5 h ©R Cs 5` Ur C 0R X 5q gX "I "` C` CF tr "r 7p tT 5r gp ©R "F U` 5` ©R X YH gX gF §T oi %F 7X gFr ¸rei t UR gpts tr h T ©p ©p PxX SP lq
¥© ¨§ ¦¸ ¥¤ ¸

¼ "u "T t` 7p gr "F "` H r ¡ bP p "q "F "` {H |I QP " WI ! WP YV ! )# 0 d tT gp ©R
©2

¡¢

E



U eU G Ue U U " ! e G

Cl"T C`
¢

h

|I tc "`p gXgX "f p CF
§¢

tr

¸¨

H $ VH vv tH kh Pi bP 2p ttr hh v h q` v Xr hh qT


§1

"u5a §htv h ( tH
40

A8 T4

gp q 5` Rpq q ©R U t`i "u (RgF t` YH %¨! "` X tv ©R CF dR u tP ©R ¡ 5v UT q 5 Ui CT ¸i 5q
43 4¤

(q gF gI hr dr C 5a CT 5a
B

CF gX tr |T Ch 7Xor %u gr CF öf tr h h tr 7p "p r "f 5q gT X Ui §h gX oVH yF CI q (R "v ¥¦ t` ¥¤ p dR5 X gX ¯h&c (` 0¶ gu F gX bP CTgp t "r gp5e U`gX"F SR "`oe oP {Hgf UT Ui 5R5 gX trgX "H h CT t` gp gs p hT ei "r ©R "TCs "F orF ote "f gp 5 ¯qUR gs Ur UiURCr XerX gstvUa Ch§Rdi gX u x tcH gp !Wh p` t "u gp 5r Cv gT §X tr P p gpX h a "F ©R"CI TgFq i ¶ ©X 5r tPr X oRX gI "qUv tP ©R"F tc ¯T"`p gHq "Ic ! |H C`yj 5r "r SR4i tv i gp 5r tHC` ©R %h "r C` tv "r gp tv CItH gp h"r tH F h"u Cv %q 5 X Cv "q F t Wh oV oB F ©R C` bP "rgp tv t` gp gp tH H h 5q ¶ gXUR tr "`(h Htv p f "r h 5T tr X "p v gf pbi gh5a ©X"F ei UR CI Ur q oR v ©R T q o 7 "fF7F "F (¶ oR "e 7 tv "v"h T©p65 & yu Ui p¥1 q 1 "F !of "F ¸T "f "e §1 gT "v§# bP (T¢ gp ¨ xu ` tyq© ©p yB gp oi "F"I xF tT(` "F ©X "F P "e X tvgB¯q gp 5q "` Xt` ©p5`Ur XURP íveryf gs ©¶ 5di oVgXu tc"F"T gp v( `c "u u w` GV gX "I P CT CTX gs eV|R UR ! tr CF h tr 7p Ch r gX CTq gs ¥¢ bi ! p "r ¢ CF W Cq ¸¨ tr §¢ h q §¢"u 43 W 5U q4¤ 5RGV(P tr f "I Ch 5` CT ©X gX "r bP pH U` gp SR T 5 oP gX X UT "T "r 5R gF Str "i hh ! hP ¢ 5q ¢ FgX C ¢ C`Wk ¢ "r Ck tr tv "poB gp gf¯ tH gI tP tc xBp qei íc 5R 5r 5CX X 5 r©R w t` xh C` gp "r %T tv gp P tH X 4h tr 7p 5 wqX gs 5a eigX5 ©R gXCT C`"r"T "r U`T tvSR¡ gp UToP tH ©RUT h UR(` trV F Qh X d¶ h Y r ! © gp b"F "Fh "F tT¨§ "e¨ ©p Uv bi (R R©p

5q gX "` hH f h tr "p !1 5 ¸¢ 2 %0 ´q tH h f h tr "p "f gT "T 5H U ôqX ¨SR ! oi Uf rtH (R ¡íh gv (r eP f"u SRh H tröi pUc §©R"u 5`"`§B X "F 58a ` C ta "fC p FC "r tapd "T p gX gs H Ui X tv "ICh "TgX tTUH gp! ("u X U gvX 5a(P (X 0f tv 5` h gX gp H " tF "I h UB tr 5 p p& h 13 ts ¥1 h 1 p ! q ¸T ©R guCq gX bP "` gp hH 5e gX GV "` "I pH CT GVgs gs ©p bi bi p ©p "r bP "F gp 5` "` X 5H Cq X tr ©p bitr 7p p5I r "rg tF5` UR ChX tr gXa (h CT tv p 5rp XgI"r § 43 ¸¢ $ "F "v gF P 5iYh rUq gpGV5R "Ftr "I Ch tT "T Xp 5` ¨h gXt ! gp 5H p `X Gr "Ir 5r"T XtT gpr x ( gu 5p Ui©R gX ( tvgp ´P h ` ©p öf Ui h5 h trX 5p "q gf ©R "F oi "` yF gu v

"f "f gT "F hUi gX %a5p 0R µF oRUr ¨ ©Rgv gu"T UigF T 5h © "c SR 2 ei T 0R gF |I5i oi 5q grgF {¨ i5T (a X (a UcX ©Rtr gp e "F H gu bi CqUi gXgX 5 H"`

Ui "e gX tv H SR "qH oi §F CI U C`F tr Uf ph (P r 0f p 5` gX bP gp©H CF oi "q v "F &F d$ ! Uc tFgu bi oP gh©p CF v©X "u eP "` "F 7p "u §r"` (v 1R` tT h p©r ©R íh 7T §¢ r! gX HCT gs "r

CI "` 5R SR"T "`Uf pgX oR h ©p %voi "q W` gF UcUq "F X r gXgu gX t gph ©pp 5U ei tv UR yp

bi U

bB ¶ ©R X gr ´v CF r Uf h (R tv bP h gp gp t` " xp "F 5r CX 5 ©R ` 5R r ô SB ta X ¯h 5a X "f r "F tT ©p |f bi gr ©p F ´P Uv7pUi #RgX r b"H"E hA t`UB pUr p "rUR er"T gs uQF di uCF ¼"u "u(` Cu"T UrtT ©R©p t`ei gp0R |H5q gX r 5a h "F gX ©p "F "T Ui "e t`h tv7p gpgs r "`boi A 5`xF (X CqX Wv 5a 5U R 7X qr "p Wq gf bi öf ©p h bPtr gpop "` tcoP ` gp"T &TF %I p bV x gqp B hP q "¼ ©R F"c YT ta &F R SR gh &P "F gp5H {XT ¢q 43 U "¤ |I gX H eV ©R p C` "I"r "Ttv gpt` ptH "rh Uv C` "r "r U` tv SR gp oPtH phUT UR oV tr Fh U"f ` q Uc ©R Cr ` X Cp (r gX Cu CT "r gs CF eitr p §©R 43 T ¸¢ q 5q! X X 0fUv gv 5`©R (P X gT 0f5q ¸P "r yqtT 7p q or "u C` tr"I gh "T "T (H WF "u

©R ©R "F ©Rgh 5`X §

SB 5vtr ¢©X7p F3 Ui Cr 5UX X "¤q 5r X X "3 5a Cq ¢ gX gX CT C` 5q©R "r gX xT tv F3 5U "¤ "3 ¢ X 5q ©X bi UrF Ch UR gXUR er trCT gs (h gs di tv bi up p tc "r "r p 5T CF x¿ X Cq hvSB tr h¸¢ © q §W hrhrgp y` URtr "rp©R 7p U` hT SRgr C` oP%F "r UT tv´F5R gp tr "tHph Wh "F X "` H %H tr "p 7p "F gTgr bPF gp C` t` "r §h tv ©Rgp TtH gf gT "i P P 0X GVöf h CI tr Yq p u "f Cc "F gs tT Ui gp gX 5HUTp gphX©R gTo` F bPV gpX "F h t` tT ph 7p F rUv ¥¢ gpoR C`hv !1 q öf32 h5r Ur tr ©R Ch C` gX tr CT h gs bi ¼ p u "r (a CF "u Cq g` tr pPh r "3 5p ¸¢ bR Ua SR eV "i oR bP gv gp (P ` 0f 5`l gX yB H 43 5U 4¤ § 43 ¸¢ I gr "F Uv UR U` R V öf h r (¼ u Uc ©R 5` TtT gp "f tT "F7p tT gr ©p "F 5i "` Uq ²H UR tr p ©h Ur bP5R gp C`T "r è tv gp gr tH "F h tv Xh gp"r "" !F "c Cr xF X gX }HoB UR "u"r CvU` trSR p oP h UT 5R ©R tr T ph X X 5va gp X CF CX 5q or o X "f hh"u 5T §` dfgX 8» H p8B h PB CF IH GHtr q BCh trgXGF 5pED

Ch YX GV "I "T UT SR P gf "i P ¨ (p Cv tr p tH C` h "r ptv 5agp X tH "rh F X 5a Cr X gX "r "T F t gpt h 5T (X r v gp "F Cp X tq SBgp ©8& f$ g¼ )( oi& pv !9 &5 q g# f h( tr! 5p # 0R 95 q 98 7tI $ ! p 5a ©X ei 5R Ur (R pv %q öf h tr op "f UT %¢ © Uf ¢ 0R F3 "q 5U "F "¤ "` v "3 ¢ Uf 1R r "F 5p Cv SR 5q oP gX §F 5` g d gF X (X "I tv CT h "r gp U` " SR "F oP C` UT tr UR 7p tr Cr }h X 5r gr yX gF biCq ©p gX P C` "r F 5q X CI "v "r UT F SR oi t hH X CF "r "r e 5 ! gX |u H Cr "fX r"F UT &v 0R gu "fgh Ui "FWF gX tT pH"f©p "F bi gf ©p"e "i P"v P T gp yu C` "F "r qtT tvgp URgp tT r tH7p h § gr CB"F 74 ` "I 9@ l"T X ¸¢ 5 ¸ 7X !1 gr § tF ¸¢ gh ©¨ CF B1 Uq dR 5 tc ©X gp oP T UT 1R öf h Cr tr X 5p v UR "r 5 "utr opi Y gf"f bi5"T ©p gX "F bP CT"` gp gs H "` ei 5H©R |I X C` r "r ¥¢ tv|u ¸ gp 1Cr tH "X Yh r¦ 5 5 (R xX X tv "q lh eiq 0R tr 5q h gX 7p "` Yr H oV 3¥ F §" "F (¼ "T Cu gFCq tr¯i h trGV p "I Cq gT X 4h " GV "F "T"I gF"T iUT 0R oV 5q "FgX tv"` h CF 5q "r gX tv t` gp 7p "` r 5` gs X "`gs Hei u X tc 5a gp gX ` CT gs Bei 5R¢ ¢ tr C ©p C P & gf ©X "i Ui P X 5v gX &X "T rCq gX q C` tr "F h SR dP GVtu gp "I T "T UT ©R 0R "T 5q "F X " "v "F gF ` Ui ol gX (X "Ttv hUT gp 0R "5q gX"F "`C` tr"F 7p "T Cr5F X gp5r yX7` !Cq ©RgX C`C` "r"r ©R gs & bi p p g¼tr "r poi CF Uv Cv Cq ©R q tr ªH! h §¢ (q 43Cr "u gXU "¤CT "r§5 43U`X SR¸¢"q oP"F UT"` ©p UR v oi tr
¢

h tT p gX gh7 "F15 ei©R "uo`(R tv ¢ gp¢ C "r"q gFgF gF76 "FX "F©p "`Ui P5r CXv gX X 5qei XR "u5 X5H tvtv gpgp tHtH U h 5 R gX
¡

o "F "T "F WF "e (v 5r guX bP gp CI ` 5r CX "r 5 UT ©R ©R %` "F U`5q 0RX qUr UR er gs "I di CT u "q tc CF gp Ur ` ©R "TGV t` "I p gT er P gs 0X ei GV R CI Uv q oR YvCF tr Cs Ch Ur 7X 0R gr 5q tF X gh Cc CF gs Uq Ui dR gX tc tH gp gh WT oBF ©R q tr 5` p fX gu h "r bPCs tv ©p "r p bi gF tr h ©pbP Cp P©p o Ui 5q u gX X §H "r f htv Cp trp X p tvyq 5u Ch q©X gp oi C` H YrGV ©R"I SR TCT P gs 5a gp eiX "F UR ôv tT "r ! ©p tT GV bi7p p "I or "Tõ"u UT C` SR tr hP

WV WV %& QT I )2 ! QX 6 WV %! ¸T I QT "6 )! WV 0 I T ' I UT R 2 $# WV U! P 2 QP )U! WP T 2

E




Ug d
¤ F' ¦ 8 1 % ¨ ¤¥ ) ¸" % © ¨ ¦¥ ¨§ 5© F' 3 ¦ © ¤

¨ ¦ @ US ¥ ¨© ¥ T¢ ¦ ¸ @ % QS ¢ §¢ ¸ 1 ! D¦ ¦C $ ¦ 7 " 65 '& ¸1 1 ! ¸T 1 ¸ ¢ §¢ ¡ 1 ! ¦ 3 ¤ ¥ §1 ¸¨ ¢ ¥ 5 "¤ ¨ Y @ §1 ¸¨ ¸¢ ¸ 5 "¤ ¨
A@

© ¦ ¤ ¥ A@ () ¦C x $ ¥ ¤© ¦¥ 7@ ) ¨D 0C 7 6) F R ¥ ¤© ¦ 21 C ¸¢ 7% ) ¤ ¦¥ ¨' @

¦ ¨ ¥ F' ¦ @ @ 5© F¸ ¦ #' ¨§ © 5¸ I8 I@ 5 F' ¦ ¨ $ 5F¸ ¦ !§
&§ ¥4
¤

" ! ) @ ! ¥Y ¸Y ! ¸4

¨¸ ¦¥ 8 @ ¸¢ " ¥2 1 3 ¨' © ¤$ 5¥ %G p& "4 ¨§ §4 ¥Y Y §1 T '& 6X ¸U ¥1 ¸¢

¦ ¦ ¦ ¦

&¨ p& 2

@
¤ ¤

¸C P &B "7 f$ 9( # ¢ F' ¦ 8 1 ¨ ¦ 4@ ¤! ¦¥ ¸ 5Q¦ ¦ ¢@ (1 ¨© 6¥ A& ¤ $ @ ¤ 98 f$ S( & 8 ©5 "9 §7 !# 95 98 7 9 65 5$ ¢ ¥1 1 T 1 ¦¥ ¤© ¦¥ F¸ ¥ ¤ Q 31 %0 § "3 Y 31 %0 § 3 ) 1§ " ¸Y ¸Y ¥ ¸¢ D¦ %0 T ¢ (1 ¦ © ¨ F¸ ' 3 ¸I H ¸# G 3F ¡ & ¥ & ¢ 49 !5 68 & DC # 65 5 ¥ 5 % 5F¸ $ ¦ 2 C %$ # #' F' ¦ ¨ 1 ¤ 7 6) F @ F1 © ¨! ¦¥ © ¸
@

B F8 ¦¥ ¤ F¸ $ ¦¥ 7H

@ ¨

# ¨@ A 6) 3 6) ¤ ¢

C

¨ $ B 7C 0) ¨¸ $ ¤@
1 62 0 1 62 0 1 62 0
&

¸U ¥1 ¸¢

F P 3@ (1 ©

) !B 9 65 5 # ¢ 1 ¤© ¥ A& ¦ ¥Y ¸Y §¢ ¸ 1 ! !¦ §1 ¸¢ ¤ @ 4 §U @ ¨1 © ¤! ¥ © ¸ 1§ 4 A@ ¤© E¦ ¥ ¨© H ' 1§ © ¨© ¥ ¤© ¦¥ ¨§ B #§ ¢ ¥¤ 5 ¤ @ ¤ ¦G (¸ 5D¦ 1§ ©¨ §¦ ¤ @ ¸C P &§
¢

¥U ¥Y ¸Y ! ¸4 ©¨ ¦ 4¤ ¥Y ¸Y ©¨ ¦ 4¤ ¥Y ¸Y ¤ FG 0) ¨B ! EY &¤ ¸Y ¸Y ¥¤ 1 §2

"¤ ¥T ¸ §¦ ¸1 62 0 ¸ §¦ ¨© ¦ ¸1 62 0 ! ¥4 ! ¥4 B ! ¥4 ¸ ¥1 ¤ ¢

¦¦
3



) ¥ H ¨¸ 3 ¨ ¦¥ ¨'
§1 ¤ 4# ¸ ¥¤ 3) ©¢ 62 %0 ¥1 ! ¥¤ ¢

@ ¤ ¥U ¸ ¥¦ §1 ¢ 2§ Y ¥¤ 1 §2 ¥ ¸1 ¤ ¢
¤

Y ¥¤ 1 §2 ¥ ¸1 ¤ §¢ 3) 3Y ¤ ¨ ¢ §1 § !¤ "# ¥¤ V ¢ ¢ 32 %0 §1 " ¤ ¸¢ D ¤ ¢ ¥1 § ¤ 4# ¸ ¸¤ ) A§ ¤ F' ¥ I B ¥ $ ¢ § ¨ (' A Y ¥¤ 1 §2 ¥ ¸1 ¤ ¢ ¥§ (1 ¨ ¦ 7 0) A @ F1 ¦ ¤© ¦G F¸ ¦ § ¨@ # ¡¤ ¦ ¢ §1 ¤ "# ¥¤ 9' 86 $ A$ 0 g# 4 76 54 ¤ X ¦ ¤© ¦G F¸ ¥ 7¦) © ¤ ¨ ¦¥ 4© 52¸ ¦) ¥ ¢ ¥¢ ©0


@ ¸¢ 2 ©0 §T 4¤ ¥ " ¸Y ¸Y § ¢ D¦ %0 T ¨§

1§ 4¤ ¥Y ¸Y ¸¤ ¸1

) ¥ ¤© ¦¥ ¨¸ ¦¥ F8 ¦¥ ¤@ #B ¥ ¤© B
¥4 ¥Y ¸Y ¥ ¸¢ ¥1 ¸U
& p&

¦
¨

¤

14 §X 3

§¦ 0) @ ¦ ¦

('

¢

¦ !1 §1 !!1 B¦ @ ¦ !1 ¥1 ¸¤ 5 ¤
¢

¨' 8 (1 ¤ 3@ ¨

4 ¢ ¦D ¨ ¥ F' ¦ ¨ ¥ F' ¨8 ¥

' 78 @ ¨© ¨@ &§

!

E1 0C ¤ $ B ¤ f$ 9$ &0 # T F¤ § E1 C ¢ A% ¢) ¦ § F1 ¦ 3 I@ ¤© A ¦¥ ¨' 4@ I¥ ¨© ¥ ¨ ¤© ¦

6) F¸ ¦¥ ¨¸ #

©

¦ ¸ ¢@ (1 ¨ ¦¥

p&


¨§ ¥1 1 T @ !¸ 1 §¤ ¸Y ¥Y "


&



&4 &X

¦ !1 ¥1 ¥U @ @


43 D1 G0 ¦ ¥ ¤© 4' §1 ¸¨ ¸¢ ¸ 5 "¤ ¨ @ ¥¢ ©0 T F¤ § ¢ " 5% (' A 6) ¨ ¥ (' ¤ ¨ ) A D1

#@ I¥ ¨© ¦ ¨8 B ¤ ) !§

43 21 %0 ¦ ¸Y ¥Y " ¥4 ¸1 32 0 p& ¨

¥2 ¥ ¥1 ¥¤ E¢ & ¥ ¤ ¸¢ ¥¤ ¤ ¨ %$ ¸ §¦ ¥1 ¸¢ ¥4 ¸1 32 0 5H ¡# 6) ¨¦ ¡ ¸U ¸ §¦ ¥1 ¸¢ §2 ¥ ¸1 ¤ ¢

1 ¥1 !!1 ¦ @ ¦ 1 ¸1 ¥¤ ¤ @ ¦ !1 ¥1 3U %0 @ ¥U 1 §¨ 3
98

& &

¨' ¦ ¸ ¨! ¦ '& 4' F' ¨ 0) ¦ ¦ A% ) @ ¦C ¥ @ ¨ 7 0) A @ @ § ¢ D¦ %0 T ¦ © ¦D © @ @ 5¸ ©¦ ¨§ ¥ ¨© ¦ ¨'
@ §¢ 43 1 "¦ §2 !1 §U T
¤

U 4¤ FG 0) ¨@ B @ 7 " 65 p& 43 ! @ § ¢ §1 ¢ ¥¤ 5 ¤ ¨' ¤ ¦ F¸ I' ¨ ¥ F§ ¦ © 1

(§ ¤ ¡¦

§4 ¥Y ¸Y 2 %0 T

@ §¤ 4¤ ¥U EY ¥¤

¢

G0 ¦ ¤ ¦¥ ¨' ¨© ¦¥ ¨H ¦ ¨© IB C ¦ 8 (1 ¤ #@ (1 ¤© ¦¥ @ ! ¸4 ¸1 62 0 (1 ¨© ¨© 6¥ A& ¦ ¨ $ B ¤ 7¸ ) ¥ ¢ !¦ 1 ¥1

¨¸ ¦¥ F8 ¦¥ ¤@ 2 C © $ ¥ #© #¥¤ 1 6¥ A& ¤ $ B 3 @ 3 ¥ ¨© ¦¥ ¨¸ ¦¥ ¨8 ¥ ¢ ¨ 1 ¤© ¦ F' (' A ) ¥ ¸¢ 7% ) ¨ ¥ F'
¥U
f$ S( & 8 9$ 2 ( &0 x# # 95 98 7 7 15 5$

¤@ 5@ (§ ¡

¦


Ck d

§ ¨ @ ¥¤ ¥Y Y §W

§ 3 p&
¨

¦
!

95 98 7 9 65 5$ ¢



& &


¦ ¦ ¦

3 ¥¨ ©4 14

§¢ 43 5U 4¤ § 43 ¸¢ ¤ 9 5 g# ( "! !# ¥ U 3 7 0C 7 ) ¥ #8 I'

¨G 6) ¨@ B

@
¤



¢ F3 5U 4¤ § "3 ¢ Y # 5 &§ ¸ ¨ # B 1 ¨§ ¥ A 6) 7) ¦ ¸ ¤ 4 FD C ¤ ¥ A@ ¢) ¦¥ T ' !9 ©¨ A( 3 1 ¸ 98 ¤ ¥ ¦ ¨ $ ¢ ©3 §X &4 ¤ ¥ 7@ ) ¦C 5 5! © ¤ ¦¥ E§ C ¦ 5! © ¨8 ¥


¨© C ©3 4' F'

¤ ¥ ¨ ¥ F¸ ¥ F8 ¥ §X 4 4 4' ¦ 8 (1 ¨ ¦

¨@ &§ ¥¤ ¥Y Y §W § 3 5U ¸ 3 ¦ ¤© ¥ © 3@ ¥ ¤© ¥ T¢ ¤ ¡

p&



C d
§¤

3 ©3 3

&§ A$ 10 7 & A$ !8 ( %$ 8 ¦¥ ¸ ¨! ¦ 3' ¨ & f& & ©3 ¨ ¥Y " ¤ 2 ¢ ¥ ¸¢ ¥1 ¢ §2 !1 ¥ 1 ¨§ A$ 90 P7 & x ( 4$ F9 ( 0! 8 ¦¥ ¸ ¨! ¦ 3' ¨
A$

8

C A 5q X "q P %$ 0XgX V§T C8 dX 7XgpWF Tr ©R" "FH UT X ©R 5a ` gX 5a "T (au gf "u "i g` gX P &P gT UR P h tr X (h (` q 5 Cu gX "rGV (` (v "Igu "u "TbP C` Wv ts gh ôq "F ! UH Q dR 2 5a gp ©X "F ei UT 5R 1R Ur (Rgr v

5 gX CT gs ei 1R gr tF h Uv 1R ½r "I C` tr 7p 5r ©R U` F ©R f H h tr Cs 5p "r ©R "F t tT gp 7p C` r tr "ch ´Fq ©XF bi gp gh 5` "F X x "r Cp Uv X SR "q bP t`gp gp ` xH Cr ©p X öP 5q "a X ! tr ©p h tP tv tc p p r q Wq C C A$ C 10 C 7 d & A$©R T !8 C ( C gI oie U 4AR %q wq Cs 5 r gX "I "T "` gF Cv "i 5r {P X 5q © gX ¢C` "r ¤ tv gp 1tH 4h |I oV r "F p tv tr h gh gp tF " h CF 5tr p# "r $ "Tg! tFD5 4h4$ !9 ¯F ¥ GV 49 5CI 65"r 8F t H wh %$ $ "f q( "F oep 5agf ©X Ui eigX 5R "H Ur t` (R p Wv "r "T %q µF ¨ 7X gr CF gF tr Ch ! bb gphGV Ch "` "I gX F "T "` UTt v SR5h ©RP CI {` 5r GV CX gf "I 5 yi "T ©R " Y`§õ gF ôB gf Ui GV "i5 "IURhP hr"T Cs UT "f"r SR "F"F P oetT 7pgf "F UirCv gX"c tr phF"H h t` 7X p 5"rgr gX "TgF gT FP o P0X "T0X V VUC gh SRX Fgp oi T tH tv yh Cpgp gXX5 rX5` ( XWr GF5r C URX CtrSv h ! Atv p|I ©X"r r P5Tp (X tr |F ghv tF5r (` h©R gu 5` X bP CX trgp 5 h 5e ©R 7p gX }T r "` xH Ufb Cp©R 5R (X "T tr v ptT c gpUv o 5T (X v CI 5r CX 5 ©R ` Cs tr Ch gX CT gs oi CF Uq ©R "` yH ©R T &r o¼ "f gF 5i q gp pT F o F (a gu eP |R ¿ p |F r 8B "I |F "T 5r UT ©R SR C` ¸P "r fh tv gp CI tH 5r h CX 5|F ©R gr h` F U "F 7X "v %r 5 gX X C` Cv tr gs 5h Ui ©R X }T tv h 5 gp X T "v 5T ªF X r "I UTp ©p0R 5qUi XCX Uv ©R gftH 5h"i ©R P ` |I p gr " gF Uv P UR 0X pr V C 0R X "q gp oF T V U` "F R T "c | ¨F tB ! tB IH ¥ GH 95B 98GF TD7 B 7 15 5R $ tr h " tv "F p 5` "r X 5T "r X tv v gp "`5q ©XgF oiP U R "I o v "F t(H gp Cu tH tr h Ch Cp ©X C #P X ! 0RUR Uqtr h©R tv"` p WH "r 5TCF (Xr §v © ¨Bp © "I "T¢ UT ¤ SR P 1 ¸ p "I © "T 5% X t5q ©p gX bi5` p g Ur gF 0R ei 5q (R X v Cc gs gp Ui "F gX 5 H CX 5 bV ©R p `h q f hgf or "i gf 8BWP P "F f0X "F h eV oetr ©R 5pgf T 0R "i q ei Cr UR "IgX tr "` 5` gh CvX "T 5r5r F XX oB öf UR h tr "r (h gF tv P p 0X "r eV 5T ©R X YT ív t |F gp 5r T SR gq oi ! U d R y qw gY ´h ! ¸ Pv 95h 0Y©8 70u 9! 65 d Ey$ T` 0W "f ! "F d 5` "y X Ei "r ` tv v gp "`5q XgF 5a }P ©X eiUf 5R 0R Ur 5q (R gX v íT GV f h"I "r CT CF"r oq U` fSR gX oP H UT 5R © tr 9 h x 7p 7$ Cr gX8 !"` Sv p ! ¨ ©8 8 & 94 93 5 2H 4# 9 f$ ©8 7 9 15 9$ © "! 5 49 §7 9 x 7$ 8 "! 3 & §¦ 49 ! © "I ¢ 5` ¤X 5r (X 1 v ¸ ! ©¨ © ©8 8 & gI¸¢ bP¸1 gp 1 t`¤ F h "# ¶ 9w 5q x"i X 7$Ei tr `98 (h 7 tv"F 9 p ( 65 "r gu 3$ 5T dP X 5u 0R Qv S "q ! oF GV t`V "I7p U` CT Rgr "r "F U`X "` SR5a UH gXoP ©R CTUT µT gs5R%¨ trbi h©R©p 5`P 5r"FX {XUr"F ©R 5` ©p C`X oPtr"r ghCF tv q"Fgp "T"` q |FgF ¯P©r f eP h q R tr "p ¡ Cs gfp Ur 5i 0R |FUq 5q UR 5r gX tr 0R "` Ch Uq CF gX ©R "q {H "`


¸ &5 ©$ 7 0 H ©¨ !7 ©2 $ 9$ 15 8 ( ¦ ¥¢ ¸T §X 3 "! 15 $ 2H #

tF h 5h 1R r "I "T gF tv90 P7gp & 5 xX {r( 4$ oF9 f( h 0! ´X5c 5T X gX gX q "F CT oegs5 gfeiX ©Rbir gpí "`©R "f 5`T ¡ § pp Cs tr 1h PB IH GH B aF TD B 5R tr h tv UT tr tv 0R h p 5q "r gX7p 5T "` Cr X "F gX v "e ` XxF m 5a gq X cgp 5e ©R gX T "` WH r f "I h 5` &r X 5rU¼ "F d$ CT !q yq 5a p Cr ©X "r X ei CFr 5R Urí Ur ©R (R "F5`

"i CI "c"FX p gF r X0R vq &v ` lF Tr vF


P r P

(F íH 0Ve tRU` Cr a dR X guUc r ©ReP Y |R4` ¿"F 47X "` grWH tr gF h Uf P tv SR 0X p eP V "r SRC 5T XUi xX gpC mXT
A

C¼ s ¨§ 7X Cr gX ²H h 5q gX C` "r tv gp tH h ©p bi p § "F "F "e (v gu bP gp ` 5 gX "T " CF "q t` gp &H ©R ` gu bP gp 5e gX "` H Uf 0R 5q gX "H CF r ©R UT R gh "F CB 5H f4 X A@ ©p A8 bi f6 ©p 54 2tP Uc UR©R tr ´` (h tv Cr p X "r r 5T X v ¸¢ ¢ ) ¢ ¥ ¤ ¸ ¢ ¡
§ ¨ ( 1© ! 2¨ ¸ § © ( ¤ ¨ ¸§ ¡ ¤ 6

§¦









I P R T 72 YP T I QT 6 I UP AR q E

¤ ¸¢ ¸¢ ¦¸ @© %9 4 ! ¢
¢¸ ¦¥ ¤¸ ¢¡


d
¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢ ¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢

G$ 2 &
¢¢ ¢¢ ¢¢

& &

¦

§¦

2
¢ ¢

F PB IH GH B aF TD B tr §¥ ©X bi gh "F Cp gX "T ©R T (c Cu gq P ¥ &¤ ©¤ ! 5 ¥ 5q gX 1x` ! gq ¶ F 5 g t 7 5h RF ©R Ug {` C C² ¨ & SR P p X tr a (h tv ©R p x` "r 5Tgq

(h tv ¶ DB DB DB X "F v we

¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ 9 49 5 65 &( # x 95 98 7 7 15 $ ¤$ 7 ( %$ § Q &( ©0 3 &( 0 3 & 49 ( ¦ ¸¢ ¥T §X 3 ( &0 !$ g! A$ x 2 F3 "! 15 $ H ( $ ) H 10 f$ # ¸ &5 %$ 9 0 H 8 ( 7 ¥0 H )

p "r 5T X Wv ! b ¥ "s Cr (f yX "f gT5q ©RbP

hF 5` " `©p 5abi
¦¸

) ! ©3 3 ! 95 d & f& 7 f F9 5 15 ( 1 ¥¦ ¥¤ !1 !8 %$ !8 &( 90 ¨ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ & f& 9 49 §5 15 &( 9 9 x g# ¢ !8 %$ !8 &( 90 ¨ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ & f& A( 3 8 $ 8 ( ©0 ¨ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ U !¤ §¨ Q §1 §¢ 3 T) ©3 3 ! 95 d G$ C ¤ "3 ¢ ! ¥ 95 98 7 7 15 A$ Q C 9$ 60 d $ H ! ¥ 95 98 7 7 15 A$ Q C 9$ 60 d $ H

© ¢ ¤ 1 f h tr 5p (R tv h "u UH dR df "r 5v gX ! p q¥ "s 5` " df "r tT p h gXCh gX C` íH"r tv ¥gp tH {h ¤ F r p¥¤ ¤ § §2 o¼34 #gf 5i Uq"F ©R
(
¤ ¤

Wc hF ¨ ©R oe "`5 gX (H}T yu
9
¢ ¢

gs bi p "r öf h 7p r qbR 5a ©X ¼ ei

tF t` Cu5R orUr

Ch gX T öf h tr p "u 7p Cr gX %T bB "Id¶ "f(R wv"T "F |f "` grH wF Cs
¥ ¸
¨

¥1 1 3¤ 0 2 §X 93 9( 9 §X 93 9( 9



oA "T"` d "CFDB CB "F"r "r t "F p |T §
95 7 95 7 95 7 95 7

oA t`5T p7X ¨ Ur yr ©R "f p Cr U¼gX SR UH ©RP T !
¦¦

©p ei R õ ge gT eP WP ©R CTt` 7ptr tr CI p Ur gu SR bP
60

h Cr p gX T ©p¯P i "u v
¢ ¢ ¢ ¢ ¢

¸ ©¨ VX # ¸ 4 ©¨ VX # ©¨ ! ¨ VX # V © ( 9 ¥ ¤ ©¨ VX # © X ©¨ VX # ¸ ! ¨ VX # ¸
! 2 $
¥¸



§¦§¦

¨

0X # ¸ 0X # ¥ ¥ ¥ ¥





7 7 7

¥ ¸4 ¦ ©¨ VX # 3X ¦ ©¨ VX #
d $ H d $ H

( 90 4$
©¸ ¨§

¨

0X # $ ©$ " "C H 90

!

©' $
¤¸

6X ¦ 0Y $

¦ ! ¨ 0X # 3 ! ¨ 0X # ( C "! 9 ) %$ ©$ " "C H ) 9$ 90 7 ) §X 13 A( 9 ! §X 93 9( 9 ! %$ %$

§X 93 9( 9 ! §X 93 9( 9 ! §X 93 9( 9 ! # ) "C H

)

98 98 98 98 95 98 7

¨ 0X # ¨ 0X # Q C Q C Q C 7 Q C 60

15 A$ 15 A$ 15 A$ 15 A$ 7 15 A$ Q

9$ 9$ 9$ 9$ C 9$ 60

60 d $ H 60 d $ H d $ H

GV "I "T UT SR ²P ©p bi p "r tF Ch gX T ©R T " "F 5` X "r tv gp "` gF yP "u (` Cu "r v "u C` tr &h ©R T öf h Cs Ur 5Re oR tr tvp hh Q¨ 5a 5q ©X X ei gv 5R (P Ur 0f(R 5`v gX 1F H "F "F t "e©p (voi guxF bP Cq gp gX ` "` H gf "i íF fP 5q " X "F gh 5` UT X SR "r ei tv R gp o"` t`gF p 4P tr 5h "u 1R (` r Cu "r GV (v CI"u 5q
¡

WX WV ! WP T 2 ! V ! @ YP T @ U! UP R X 2 # " cI ! )2 WV I 1 $

0R 5q gX "` CF "r tT gp "F 5` xX gX §T 1F t` C` gX tr ·h"H (H "ur ¡` SRa b tP gp 5c gT X bPh gp t` © h ¸¢ F ¤

7X "F 7p r gr X"F 5a "` X UH r yR pgX5 T 5a ©X F ei
1

"j gf bB yi y¶ 5R5a ©X Ur ei (R UR

õ ²¤ bB ¶ © gX v Ur (R r ªv gp 5
¢

"T 5I ( 9 ! CXr gp 5 }T ©R

r C p X ¨ ` 4q F
E A
7

b Wq ©p 5ir ¡oq 5 "r gs "H bi "F

dfoP gX F §H p "` (r tv df %h X

5p h©R ( öf tr 5v Ch ©X 7X Gi

gu h bi tr Qh 5p 5r tI R h h
F

0R "q "F " %h Cr X r "f GV CF |ICq

W UT (R&q Uv tr gr gh gF t P

¶ dR {c|I r ªF ©p 0X P V C p X

p tr "Igh ` |I gp grWT gF

§B tF hhCu Ur gp ©R "F CF tT Uq ©p SR 5i oi P"f "F 0X UT V SRC XtP gp5c XyT h

"f "F 5q v gX 5T8h p hF %q

tT gp gT Ui gX C U X w¨ ¤ "f "f ei"F "F SR oe bi gf ©p


H CI q ¡ "F "F oe tT gf©p "iP ei §Poi "F |H"r "H Cr "FX

UR p t` tr p gh "F Cq TtT "`Wv tv gf h "i

gr 7p §è P r gX¨B gp YH© C` 5r P X rCs h Ur

wq Cr gX ¢SR P ¤ X 5R0R 5q tr X h Cc tv

Cq 1"T§q 5` ©p X|I bih pgs Ui "r gX 5T tH X gh

h gp 5e gX "` H r Ch p gX tr H gh tF7p {h gr §v F ©4 ei 13 UR tr ¥5 %h

BH

X C 5§F 5T h Cr ¦ t` gTp §qtP
9

5R r ¡ 7X t 5rgp R f` "F yX tF pgh gp

Cr X Uc ©R 5` C íX gr F § (¼ gu bP ©p bi ´h 5 7X r 5p (R 8Bhtv "u "F UH "FdR Sc5` X! "r "F tv "F gp (e "` gf gF "i P ei 5Rp tr Ygh "T 5 WF X §r v q Cs Ur x ©R C (H 5 Cu H tr ghCs "FUr dR"` Uc H (R gXtv h §T X d 5a 7X X r r y r p©p Urbi §RCh gX H è
B ¦ I ¦ ¤ ¦G F¸ A ) ¦¥ 4© 71 6) 5 T" ¤H ¥ A 0) #' F1 ¦ H 5% 2¸ ) I ¤¥ 0) 3' ¨
¤ §¤

5 # 8 ¥

!9 15 8 0! ( 95 98 7 7 15

X5r X 5q §8 gX 95r 5T gp" yX "Ff( qT X5c gX "H õ E gX T
F$ & r$ #



¸1 0¦ ©¤ 62 0 @ ¸T ¸¢ V 0 @ 4¤ ¸U 32 0 @

3 3 ©3 3 ¨ ¸¢ ¨ @ §¤ ©3 3 3 ©3 ¨ ¢ 1 " 1 ¢ f& & & !1 ¥1 !1 ¥¤ ¥ U ¥ ¥¢ ¥ ¢ ¥1 VU 0 3 ©3 3 ©3 ¨ ¢


(

f$

7

8

tr e tTC` U gp X U (X

©p ¯ ( 8¢ |¹ & ¢ 5r R Uh ! !7 65 9 5 §# ¢ ©R C` "r tv 1R "r h tH 5vYh gX "` "H"I UH"T R UT 0R h 5q h gXgp "`5e gXF Ua ` C` ©B (h 65 o & CB ¥1 p 1 ©p oi ¸T tH 1 gh gF(R "Fp h "u 5qr UHX dR gv gF hc (P bi h0f tr ²p 5`©p gX dP! }H5u ©R "T "f 5v gr"F ©X tT"F Ui p yT X ©X 5a gX 5`U XgpR Cr"F q wq tT5 ©p # gf bi ©p"i qbPP gp r " F § "u §B tv eP 5u gr tv gptF Uv § ! 5R ¸v oh

!

7 5 & F3 D1 %0 ¦ W b §

5l©R }qd h o t`

tr p& !7 X FUi p tr

v 65 gXoi H 5h 1R

gp tH h b tvP "Ih ©pUTCr 49 5 "` 5H %X p yj Wr Yi UT

X gh gp ei 0RUi "` & A$ (R ©p

tv UT h SR 5q gX "F gX F tT SR g` tPeP 5c

C d R § "f "F tT "F " F "e yFUa "v©R 5q TC` ©R xutr ` h xaq v " " A$ 0 gF bP p 5q gX "` YH X v h UT tr UR ©p 5r eP CX 5u 5
34

A@ 4 ¥Y

gp ©R oi % ©R

©p (P "F (p "f
A$
"4


gu Ui gX H gf "i P gf pToi xF tT ©p Cq oPgX CF"` yq H tr "f µF tr ¨ ©p(r ePgu 49 5u dP !5 ¾ 5u 68 '& yj 9$ "F " i gv " "F5` C §v X d tr ©X ©p "i eP P 5u gX WH ¸X !7 5 p& 3 94 4 ¤ @ §¦ U¡ 1 1 w Cr gX rgp p Ur©R dR T xc c "R GV ! "I "F CT §v gs

dP 5u 0f tT 0 "F "f tv ¦¦ eid"T 1R©X tT

8¢ W |¹ |F& 5r &¢ 5`gp gX ( wHgu Ui tT p "I "eU "Fh tT"u p UH dR U

gX gFr íc©R

# ¥W 0¦ F¤ 5W © ¸¢ 3U %0 ¥T ¢ ¤ 3) Y ¥U 1 §¨ 3 ¸¢ §W ¸¨ ¢ Q §1 §¢ 3 )

1R ©R Cr T gX "TtT p H Ur §Rgf "iô 5`Ui C5 URX "cr ©R 5` r C p X

©p bi ©p &PgFbB g¶Ui 98 gXöf F ©p XoP "c§ §F (¼ guX

P H gX 5q &H X tr gv ©p (P eP h )( r '& t¼ 8 7p ©5 gr"9 F 5a CF ©X }q P %q U oR Cp v gX 5abP ©p©X biP Ch U gX (R H pv

f 5u 5` # "T p íq gf 5`

©p 5i 5q X 5r X ga P gX xH p ( u ©R T ¼ "u "T ( "u C` q "igr P CF gX "r H 5H X SR gp ei GT ©R gp ©R"T tT"F h " "F "F "` Cv &H 5r CX gX 5 µH ©Rh¨ 5` 5q C (X X gv gf(P "i0f `P
©3 3 ¤ ©3 3

©3 3 ¤ ©3 3

gX Hr p "F 95 98 7 7 T yi "I¡ "TUTõ ©RUT gf yir "Iõ

Ur "F dR ec 15 $ o`SR VP Xr

! 95 d G$ 2 ! 95 d G$ 2

%F ²¢ © "f "F tT gp ©R T c (f gf 5i Uq ©R "` 5H gX gH ! gp g` eP (R v ¥ U 5q gX X pH gv (P "f 0f "F 5` tT gX ©p GH bi ©p gp bP "F gp tT "` ©p 5H bi ¸X©p GP gp CI SR yq dP Cs tu or gp f pT 5` "FX Cr` 5q ol gX oB H ©R gX g` §T eP (R v 7X & #r yj ¶ i X ²¢ 5a X "q © t` 0! 8 7 p& 3 ©4 ¦ # 0! 8 7 & © §X ¦ # 1F CF tr Ch gX CT gs bi ©p P 5r X U gX %H "f "F tT p U ©R 5` C X "c F X 5a ©X P U oR v "¼ "F "e v gu h " "F "e v gu bP gp í` Cs tr Ch gX CT gs bi p Ur 0R 5q ©X bP ©p bi Ch gX H ¨B 8 ©R 5 UT E# 0R & q xc %( CI G$ q ( tr u ©p 5a eP ©X 5u
© ©

"gp ¤ "F{H ¢tT 6X §¦ 6X §¦ ei bPUR gp Ur h`

¨ ¨

1F " "F tT p U ©R 5` C X "c F CF tr Ch gX "T (H "u 5v X 5q X h 5 X r " "¼ "F "F tT "e p v Ugu ©R bP gp5` C§` X Cs "c "r {F CF tr§8 h &5 "u E# p&UH dR ¯c ( %$ r ( p Ur 5a dR ©X pc ei 5RíF Ur (R Cr ívgX 5` f X h "r r Uv ¡ SR SR bP tP gp 5c ` X wh Cs tr "F gp "F C` 5` 5r X 7X "r r tv Ch gp gX "` "` gF WH P "F t "F p UT SR§ bi"u p tv p r "F ¾q "` H gI gX oP §T UT 1R Cr7X X §r ¯v X 7a5 X r B ©p ¹ bi Ch F xX © l ¢ G ¸
©3

§¦ ¥¤ !1 5 © ¥¢ 2 %0 98 f$ )( '& A$ x 28 ! ¥5 2H x %( G$ ( 4 ¸Y !8 A( 0 §¦ ¥¤ !1 5 © §¢ ©¨ ¥¦ §¤ ¢ ) ¤ ©3 3 ! 95 d G$ 2

(R v Cs UrgX (R tT tv5h h SR "u i UH5a dRX h§c SR ei ©R 5 ©R gX WT (` gugf bP"i gp &P 5e gI p gX oP "` " UT H ( 1R gu Cr p §i (X Ur vUR (X dr Uv gs C¼©R eis gT u ¸P ¨§tc 7Xgp ` Cr gX H

VX x# H 10 7$ d # ¸ &5 ©$ 7 0 H ¥¦ ¥¤ !1 5 ¸¢ 2 %0 3) VX x# H 10 7$ d # ¸ &5 ©$ 7 0 H ¥¦ ¥¤ !1 5 ¸¢ 2 %0 )

! 95 d G$ 2 ! 95 d G$ 2

Y 8 A( 0 g! 8 7 '& 6X §¦ ¨ VX x# 3X ¦ ¨ 0X # 2H 10 f$ x# ¥ &5 %$ 9 g 2H §¦ ¥¤ !1 5 © §¢ ©¨ ¥¦ §¤ ¢ ) ©4 ©3 3 ! 95 d G$ 2 6X §¦ ¨ 0X # ¥X 93 9( 9 "! ¸ 95 98 7 9 65 A$ Q C A$ ¥0 d $ 2H ¸ ¨§ 60 ( '& %$ %$ 8 &( x f$ $ 7 # ©¨ © ¥¢ ¸ ¸U 1 §W ¨ ) §X ©3 3 ! 95 d G$ 2

©R §F 5 c 5v p f

X ta p § XgX Cr "rCT gX xgs CT !gs "¼oi ©RoV 5T"F X tv h ©p gp gIU ©X tP Ui tc gX p tH bB G ¶ CI oB pq { UT 8B gf tv "i p hP d ¥U
H

ei (¼CI ©R Uv tTUR bi gp rh e Cs©X "FtF h "Ti (¼ 5I "u C CT P " (a gu ©X "i (P bi 0f p 5` r q 5h c "F tT p U "f ©R biR ©p ©R pX g` Gi B 5I r ©X §1 "i H 0R 5q gr©X Fbi
H


gu bP ©p 5q C` X "r "T gXgF "F (` ©R ! ` 5v gh tP"Fgp Uc 5H ¥¨ 3 P gX ¸¢ D

F

%P (R gv (P 0f 5` r 5I8B "F gv "I P §T f trX 7pp 5r ( dR &u c ¶ X "f "F t` p h ©R "F gX "T GH gF S¶ i " "F Cr gTgX 5` C X "I "c 5` F X 5rCs ph h p¨oV X F 5ap ChX § ©Xtq ¼ gp Ui Cu gX

"6 )3! I T ¡ "6 T ' ! ) %' YV ©2 C! 30 ¢ ) % I I T QP " WI !

5` gXg gX ´HUi H ©X X ½P p ta gp "I "T §T U²¢ 5"I 5T gX gX 5` 5` 0X X xV tr h "r bP5` gT©p X oPbi5r ChCFX gXq &v gH X 5q bP ! gp 5 X"r H (v F c!5 gX"u5q X`CT Uagsgv dR bi(P Cq g¼ tr hoi (rpv "u 5q 5H X X "r Qh

"` v 5r íX "u © tT gp "f T "F X tq t` ©p ©p i P X "`gX ©X µH5` ¨ P 0X f ´V r 5` ¡ gXCr 5` gX gX §T hH d GV7X tT (h 7p F "v r "F ©p Hyj ti e c

"f "FyB (T "I df 5T X tT "I gp gT oP ©R CF ¨T q 7 hy ¨ "I 5T gX 5`{h oP gX F 5` pX 5r (X CI&v hrUH F X Cr ¨r X ! Uc ¶ C |I íAr p 5"u gX "` CT 4i "f 5q "F gX tT C` gp "r
H




3F yj i "¼ "F "e gX 5` X tr h 5 gX tT 5h ©R "` xv Yh gptr§B hT f 5h h ¡©R tr Y`p § "u Wp 5d "` ©R F { UaC` ©R"r gX C`tT "T gptr t` (h§e 7p v X 5vtr h©X (P t 0f gp 5` "T gX tF ôH Gh E h S¶ 55v X©X tq (P Uq ! Ug hd 5v ©X (P f 8B 5` gX"F xH"v T ©R q 5` ! C C X Yd gr t` F 7p § Cr gX ¼ T gu bP tr ©p p 7pbi F Ug gsUa d ©Rei ©RC` gX trC` H h "r vC tT h kgp e 5`{h CX q 5|F ©R5q 5r XT ©R gv tv ©R gp T tH c fh p "f "I "F CT "e gs (v oi gu CF bP Uq gp ©R ` "`

©5 ¥¤ 9 10 §C ¥ g 2H 10 3X ¦ VX # ¸¢ 3 G0 5¤ (v gu bP gp ` Cs Ur ©R "T "F F Uv UR gr ! t gp "T tF (a gr "u "F gp "` "` %T 5v H X |u qtr Cr p pX Cu Ch r Cq ©X 5 tr gXUi h 0f©p ¡ i 5` gpgX Wh `hH a¥ 5" |I gX CF r "Ttr p gpt` "u pC` '¥ p CI q ¡ § &p gr (F ! CF tr 5h SR Ui C YX t` 5rh 7p X öf Crr h gX CsCs T Ur"r 0R CF |F 5q5q r gXgX "`"IUT URCFCT H öf(P h 0fCs tr 5`Ur op ©RgX "f H5` gT C Ui(R ©X gXtv P ghH gX 5F HCI gX

xR

"` "r trr

©R T gX §T d 7X r r p Ur xh %h Uv (R Gv 0¶ X 5a gX §T ( gX tr }Hp Cq 55r gXCX XCT ´h gs bi X p rh ¯ "v "F "F H µr H ¾¨ F "I UT5T 0RgX 5q 5` gX X "`tr h tF h 5 "u X 5v "r F Uv Ua ©R ©R U` C` R tr xV h v©p § oP CF 5 q gX 5` Yq X 5 tT 0R gXgp Uq CT"F ©R gs 5` "` eiX tH h©R h C` F "röf h tT& trgp "p e &¢ 0f q5`R hH g¼ Ch UiX "I Xpq 5T Ch X f5 c h R tr "f hp "F 5u rtT gpgp "C` "FhrCd fq ©X eP "F ©R 5 T gX T Cr ©X 5 bi ©X ©p P 4P U r (R

§R "u tT gp µT ¨ e"F yX CtT qgp 5h {At ©R p h`q rUq ©R "` H h X" ©R "F Cr tT "T5q p gXgF Hi h p¨5h SR p oi v UT gF ©R bi ` 1h 5a X v CI "q gf t` xpyi lõ
BA E A


C d z 5eWF tvdP hei ¯h "T F C H

9$ 10 9$ &0 #

v uF `Põ

(á 5q § X 2gv (P 0f b CF gp tr " Ch "F gX UT CT öf h r (¼ u ! xj p ©p tr "F ©p "F eP "e 5u Uv ©R t gXSR Uc HöP ©R 5a ` xX |F &E




32 80 ©2 §¦ ¥¤ "6 T ' "! WV 2 9! )0 )© I P 82 R ¢ ) I I QT 6 ! YV %@ ! b
§

¨$ 5` © gX 0z WH "! R gs bV oi 7p 5F ír 5 UR UiCc gsCX fUi gX |ItH C`( tr & h v bB Uf ©¶ 0R gf 5q bi(X r 5I "IC X"T "rtT gp7

©3"F tT § p 2 ©X Cs tr "rh "F ívtT gp rgh F p trGR h ! A& 5& p¨ gX CTtr gs©p p Uv h UR "v r "F gF¯H bi ( ! gu X Ui5a gXX GHír

XgXUi 5aYH X GVr í ìX gp "F 5I tT C p X p5u yj "r íi 5T gp X T"u v g` p1R (A ¨ grd wACF gf "r Ui p 5H ! gf 5q "i X íP gv (P f

"I gf"T UT yi 0R 5q1õ "r5 gX1 CT ! 5r X {X 5a eP (R wv |u gX q UT X0R "r5q Xo gX gp WX H tT 7pgf X "ir 5a ¨ P (X 0f h 5` tr gXp H5u gp

bBgX "`0¶ |FgX CTgr X tr wr p 7p gf Cr gX gT Cc ! gs gr Ui CF gX tv !7 ChgI ©X ei 5 1Roi |F C` 5r {r (R Cv X

&

gs tF hbi ©p 5v PgX 5r "` X "H UH p R "igr F {P X X "r tr | Ch !gX UR"` tr tr tH P 7p gh X 5rF §RgX Cp g%H X 8B a p UH"u 5R"Ig` r"T }H r!7 $ "F FA( "F "a# "e CF¢ tvgq gp5q P X"`h tr r p wh bB gu ¶ P g oB t 7p

" "F Uv "FUR oer gf wH p h F gp gX § tT gp 5r ( X gu gvP 5` (X(P "F vf yT 5` bir ©p GV tPF "IUc"a ©R5`

5bi 7Xgp tT"F tT h gp gp rX Ui r gX Cs gf gX X "i WH 5r YP X CF 7`gq PB

r"` p5` gu(X vbP ©p ©R t`t p p r "r "T ´q ¯F "rH ! CF p tr h "I "u "T t"F pT©p oi gF xF bi 1hCq Qv !7 eV 5 SR& bi sh r h w¨ CI 5q URX

bi (` hR ghgu 5q µFbP ¨©R gp ` 5e 5agT gX gX Ui "` C`X H "rq tvf gph 5r trtH ©R 5p §B "f 5q "F (X tT gv gp P gT f bP 5` gp gX t` H h pu F oV"a 5H UT gX SR "` %P H gp gX F §T § 7X(¼ "u "r "` ! ¶CF gX "` "B H gX "T " t` "F 7p tT Cr p X UUq ©R©R 5`"` 9 65 5 # ¢ 5q gX C` "r tv gp tH tr Uv ©p p oR %hbP v gp gp!"` "FCsíH "rtT gp ¸q"F t t` ! p p r 5q"I gX "H q "`H

F ©8 f$ )( '& 9$ " gFoR tv "ih "u´P UH gX dR cH 5R "F tr Cv p 5qh gX C CF gq Cs PCI tr íh UrCh URgX Cser CT trgs gs gp di oi C`u 5F 5rtc 5 gp7X UR ` r tr Ch ¡"r tv gp1¢ "` & 5` X 8 v &¹ r p ¤ u Cc( X tr"c ©p WF eP GF5u 7 ¶ ¶©R ©R UT §T0R 5q ( X "u Cc "uh b ` gh ¯a UT SR ©R ei T R p "F 5gp gX "F 4T tT gp H yj 7X ½i gr gF 5r P©R 0X g` V eP C oR X ½v gp %T

5` ©y g 7 gF (vei (R ' xXh l(¼ "u tv h gsX CvUi gXgs tHUi ghX Fr 1 ¸( ¢ gsT gT Ui bP gF gXgp bi tHt` h ghh p ¨ r Cs p "r"I ©p gFT ei Ucbi R ©R©p
¡E
A

G$ 2 G$ 2

xXX ta lp G$ !F CF X tr hv r "I T

2

S 7 " 65 & 93 ¥1 1 T 1 ©2 $ ! "# 8 " A$ ¨ S Y ¨ ©5 49 5 ¸¢ §W ¸¨ ¢ Q §1 §¢ 3 3) ¨ ¦ 3 ! 95 d 7 5 p& 13 ¥1 1 ! ¸T §1 2 d$ "! 4# 8 9$ ©¨ !7 5 p& 93 ¸1 1 ! ¸T 1 %( x# ) 2 ¦ 3 ! 95 d Cs "r "F UT ©R o` V X ²h p " Uv 5R r gX §T d %X 8B "F 5 gX T " "F 5` X "r tv gp "` gF P "c yF 5 CX & g¼ 1i "cF Ff4 A@ tT A8 gp f6 (H 54 Cu 2 tr ChUR ©Xtr (h P tv tr p ©p "r eP 5T 5u X hv 5T 2 X $ ! r gp p tT 5a 7p ©X gr ei %F UR Ur gr oR "F §v Uv Wq UR r §F P S !7 65 & 93 ¸1 1 T 1 Q &( 9 f& & S ¥Y ¥¢ ¸ 1 ! ¦ ¸¢ §W ¸¨ ¢ Q §1 §¢ 3 ) 2 ¦ 3 ! 95 d F Y © b h § o t` p tr 5h 1R r Uv oR hv Cs Ur 0R 5q gX "` "F C` tr gh F ta gp U` dR Sc ! p gv (P f 5` gX §H xq p h Yq gF bi h "p ¦ §¦ §¦ 93 ¸1 1 ! ¸T 1 0` F¤ 5 © 1 "¤ ! T) ¦ ¦ 3 ! 95 d ¥W ! 1 ¥ © ¸¢ ¥1 1 ¸¢ § ¨ 3) 3 ¦ 3 ! 95 d RF 5q eo" ©R UT(P 0RWf q5` gpc gX "F HCI tv 1q h |I!gp gr" CI 5`|F "r X rUT Ch1R ´q (X gr Wv tr tF 7p h p ©r5v "I gXbP "Tgp "` tT"` "H p %H UH "r R ©R T "fCI "F5q Cs ©XtT Ur gp bP 0R gp5T 5q ©X¯T gX oi "` Uv Cv CF (R 5r "r ív WX tv gp p|F tH gr"I gh "FCT "T gsUv 5F 5Rbi gX ©p#r "` P! ´H 5r 5q ¾X gXgX C`§T "I"r UTtv 7X 0Rgp 5qYrtH gX4h gp "` "FGV gF tT oP"I p CF"T "qUUT ©R"v0R gF5q5` gXC%i X"` "c(r F }FguUa ©RdP öf5uC` h tr p (h p vr ¯gpC "q"F |F "FtT gp5r( URgTgu "r bPUi tvgp xX yp t` 7l h q uyB ©p hP "I gr "e pCF
¥ ¥ ¥

G$ 2 G$ 2

§8 &5 # & 0! §8 5 49 §7 5 Y 93 ¥1 1 T 1 !1 62 F0 ¸¢ ¸ 1 ¥ ¸¢ ©¨ 1 ) ¨ ©3 3 ! 95 d G$ 2 f& & & 7 8 ©5 $ # ! A G$ f$ 8 ( 4 D8 $ "( §H 8 8 0 9 65 8 5 ¨# 8 5 H 0

2 2

!7 5 '& ¥1 1 T 1 # # ¸ x# & & §8 &5 # & 0! §8 5 49 §7 5 ¥1 §1 5¨ 40 © ¸¢ ¥1 1 ¸¢ § ¨ 3) ! ©3 3 ! 95 d G$ !9 15 5 ¸ 95 98 7 9 65 A$ Q C A$ ¥0 d $ 2H ¸ ©5 ¥¤ 9 10 §C ¥ g 2H 10 ¨§ 60 ( '& %$ %$ 8 &( x f$ $ 7 ( 9 f& & ¸¢ 3 G0 5¤ © ¥¢ ¸ ¸U 1 §W ¨ 3) ©3 3 ! 95 d G$ "T gF P X §q Cs "r "F gT bP gp t` h u tr p gu bP ©p bi h (R tv h ©p Ui gF oi xF Cq gX "` H Fp &( "I 9 CT gs "F ei "F 0R 5` gu X oP "r CF tv "q gp gF "` oP gF "T P F Yq yj Uf UR}i 5r CX5r 5©R ©R C` ©`"r !tv gpY © tH bh h §gX o &H t` pp tr "I 5h "T 1R UT %r SR tP " 5c "F X 5 h CX p 5 h ©R `
§

¥¤ ¸¢ ¡ I T R 32 0 ' (0 CV ! © 4# )2 3 4 )2 ! hR )2 WV I 1 $


¢

ED E A

U oR "§B r "f(P "F"If

v p 5a 5`tT"T gp gXUT "`URH

F ©X t ei 5r t CX ©p

5h UR ©R Ur `oR 5 oi ©R xF 5`

WFv yq CF Cs r "r "u "F C Cq X gX !"` H r gp ¥1 "F

1 ! ¸T ¸1

xH 5` tc X Cp Cr 5q gX ©R yH tT p U ©R ©R 5` hT

g` eP 7X oR gr C X GV "c

gF P "I F v "T X

0X V UT r 5a0R "IgX

C X gp 5q gTgTgX PP"`

0X T 5V Wq "¼ 0X |F 5V gr §q 5`

"F "F tT Ue 7p ©R gr t` gp§F 5H gs X Ui CugX r §` í tr 5pCI YhgX T xR g`! eP!7 (R hv 65 & tT ¥1 gp 1 gu ¸T Ui

§1 §#

5r CX 5 ©R ` 5 gX©R H` ¢ "a tr §F©p ©p oP dP (R CF5u "v

8B 5X "q©X "FtP c" ¡ 5 q X c tr q( ! q "F "F tT "egp UvUT ©R©R

h "F hu 5 gX"F YT C`o`ts trhV h©pX hvSP

"F tT öf " }F ©B©X

p gh "t pCF tr C Ch Uq ©X 5R xP!7 UT 0R ¸¢ 5 5q §W& gX ¸¨ !7 "` §¢ $

P tr A( |F © gr

§ ¢ §1 ©0 T

Ch xX X l 5 ©X P # ¢ 5q X v 5` gX CT 5r X


0 g
©0

¸¨ ¸

7 " 65 p& 9 15 §5 2# f( 7$ 8 © ( 9 & ¤&

©R tT 7p gr F ©R ! ©B ¦ Ue gX5R tr"` Ch H WX gF "f oi "F F "e

¸¢ 2 vf h gu tr bP 5p R! gh gX UT "T

§T 4¤ ¥ F gp R ` g X Ui (r ©X ! P SR tT eip R Cq tr h SR tr oi

gX "`§1 H p(r UguCq R5rdP

¸¢ ©R CX5u pq X

5T 5 &X "¤ ¨5p ©R eV Uh |f gp ! grfT f F h "ICs f

0R gu 5q bi ©X UrtT h ©poR tr oPtv p

íh bi Yh Cr gX GV gh U5u F©R gpT r C`

CT CI "q tq CF gp gu 5rgI eP gX oi 5u H U

& g¼ oi v Yq f R5r X gX tryq "` ! Hgp g! F 8 7 § CB p& (p ¼
¦

¥¦ ¥¤ !1 5 ¸¢ 2 %0

94 X#

h &r o¼ "f UT ©R (` Cu5v g Cq Ftr h 5 tr X p Cq 5 SR ¦ P 5a SRX ovoi
" 5¦ 4¤ ¥

V X Wh gf oi 5r X CX r X Yh C gF íX !U R t` 7p q gr "F "F Cv

xF Cq gX "` bi 1h r gp "F©B tT !7 "` 5r UH CX ©R 5 (T ©R !

p WH 5` X C
5

¨§ §FC CX R X gh &h UT WhSR ei f R & !7 $ A( # ¦ f( "r yX o gf ! "i tr 5pGP ©R oR gv ©R
¨ ¨

h W (P Tf$ 0f

tr 5p oV 8 Q 5c 5` X gX

0R F "q gF§ 5i"u Uq tv ©Rp Tr &( 9 f& & F X H r gf oi xF q
& f& &
¡

C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C 9C C C C C C C C C C C C C C C C C C #C

4 ( 7$ 8 © &( !9 & & ( 7$ 8 © &( !9 & &

¨¦#


¦

#

©¢ §2 !1 § T F9 5 8 '& &( 9 ¥¢ " ¦ !1 51 © ¸¤ 1 ¢ )

C

3 G$ 2

"H Uv
ET

l F`


gr "u g
¡

gB U 5qX ! "r t` §F 7p o "c 5T F tU 7X ©p gf "i gpgB CF 5q "Ftr X

X5r (P 5` {H Cq "F tT p U ©R 5` C X "c F F t`"F öB X WH 7a F ©R " T5¦¥ 4¤ CsUf § (r©R B §"u5` ¯HX Cr {F "rq §F©¢ gR §2 0! !1 t`"u § ©p (X Cr H (R "T tr "F¯q WP tT pgX Cs tT Ur gp ©R 5I UT 5` ©R C (` X ©R V "c §T X F h g "H Ui |f (H©X §B "I h XH "F X U` gpgTQH "`bP gp§H"F t` Cv q h tr p Cs }hfF r 5I"a gf CF Ui gq gX tT P H p h ©R gF bP 7p ¯r 8B ¥ t Cpgp gX 5 "TgX `T oi "` tH v gh gF 5 WPgX "T " ` "F ¡ tv h gp©p "öP Ca xF !
±0.1

gv 0(X "v Xvgr 5a oi gX xF QP gf gv (P ChoT 7X V

0f ©p! "` P p©X 5qhP bi Cq p gX t`gr 0f p tF 5`

"I gX "H UH X yR wh ©X U bi "` GV 5`"v §q gh gX CF öf H

(H "u t j Uf h "I v 5r H (X F Uqh dR r

©p oi yF 0R`U "qWa f&t` Cr "c X F tq "I UT "T ©R CF &v ! "a CF gq c (¼ ©p tu gh

gp5 & gp ©R "r5` 5q P oP CF"F

rgX p "` H |f ¯ ©p V P t` & "T (H g¼ Cu oi (RCI vq ! gv eV (PSR 0fbi ´h p "I §q§` q5 X

gr "f p Uq! }v Ch " ©X ©p5`t gpgXbP "T UT t "q ©p "F

(H UR "u§r ` ! §a gf §qUi gX X H ta p X 5a § X § ¥ "F "v 5T ©X Ui (X P P F X ©R h ¡ "e "s gFgX Ui5T 5!X UR"u WrCs "e tr gF UR h Ui rp X 5a` aX tv Ch "I ©X "e oi "F H UT o ©R t` `p #a tr 5 Ui CX©X C P X h yj tri "p 5q gf gX 5i C` Uq "I "e GR "F ! UT t©R gp ` §TWa "öf h"F r }T 5q yj©R ` i a SR ©R oi hT U R 8 15 xq ) '&©R
¡

tv Ch ©X oi H Uv oR pv F SR "I oi "e U gF Wv gf P X p 0X 1r gq 5V !WP gq t ! gp gp ©R "e 5 C` gF gX "r Ui T tv 5 gp 5R "F tH r "Fh "e 5Q! UR "F }r r "F gp "e q tT Uv 7p ©R f gr hC` QF &rtr (h U¼ grv 0R ¯CF q r 5tI "r5h 1Rtv gp r tH h X ta "F p Cv §5r CXgf 5 P ©R0X 5`"V CP (¼UR tr tu ©h gh bP "F gp ` "` H |F r (R "v|I xF "r f 5q "`©R t` 9$ 7p " ¥ Cr" gX A$5 yT10gX 9$ T 5r &0¡ X # bi 5qp SR ²cX oi gv ! U (P bR R 0f"a
98

f$ )( '& 8 F9 A( F# A$ " " A$ 60 A$ &0 # x!

R X Ui 5a q 5 X UR "q "F r t` tT gp 7p & US 49 !5 v gu bP gp ¯` ghgX P"FCT xX gsUH dRei8l c 1R ¨B !gr hXgX íH 5q X ©R "r 5` (v %H ` a |F Xr 5a "I X 5`CFq gXgq Cp yHP 7X h bR gr "a §F7r CF

"f ©p P X YH gX UtT Ch©R 68 5R 9Ur (R f& ¦ 9@ A8 " " A$ CX gu ©p GV "i bi |I %P gp CT r 5r "r gF t` 0P p 5` gX gh CT r F gs ¡ a
¸¦
)

gr"F UTWF "f R "F 0R tT0 5q p t` 5q '& X ( 5a 9 ©X Q ei &( !1 ¥1 §U 74 ©8 $ S( '& 9$ CF P "r CI gX 5H q "` {X YH t gf gs w ei oRUr "v©R CF"T gq 0 ©RP t` h `©p 5a P X X X 5a trh

` grgX ©R§U stv gXp t` h F CT T 5r` bi Ck 5 X

r` H§ u

G$ 2

a X

! 5r
oo

`

¡

5q X gv (P 0f 5` gX wH Uf ©R gB CT 5qgs (X ei gv1R (P gr 0f tF §8 95 '& A$ 9$ ìX |I 7r 5r ©R ` "5 7X"F tTr gpp t`gu 7p bP ©p r "cbi F5 waX r "I8B GV tT t ©p gp"I bP 5"T p gXT gX"F CT"F gs (e bi gf p bi "r gp tF "` Ch 5` gX

5` (h gX5v Uv XH 1R tr 7r 5qp X{h! "a©¶ bRCF"f "a 10 A$ 0 # ©R "e h F 5a gh X GV YF tr "I gh 5q "T FX UT½a gv SR (P P q ¡ CI gr q 5F gX gX gT CT P gs yX (X TCT v 5r 5q X gf X "i!5a YP©X5q Xei "e 5Rgv

gq CF P gF "F Ui tT 0fCr X 5`GV bi p xq Ur gF Ur (P Ui(R

gqh P GV¯h 5 ©p 5R bi ír ©p gX"a "I CF pH `gq 0RF9gv 55qP ©X 0f 5 5` UR gX r

"I X CT 5a gs gX bi CT p gs "r bi tF p Ch "r gX tF CT Ch 5r gX X CT 5r |I ªX fbP gp h "` r tH ¡ 5h SR ©R tP }` 5c X "F ½h "v t Cr p ©X h P 5r 1RP tI {h xh gr 5` bRX X"aíh CF q trgq p P f "uh h "` tr |I5pgF ©R bi7r gp" 5r "`gF ©R 8 '& A$ 9$ )0 "e gF Ui 5 UR r gX HbP ©p bV bi p Ch h gX q H h r § guw B eP a` 5uxY ¸ A` p i ©p ìH T ¡ "I gr"e FgF Ui (R 5 tv UR 5h r 1R r 5 gX Cs "T tr

7r X ¯X q di5` ` X5r 5a §Xív oi"c F "I tH 5`h gXp

F 98 f$ S( & 8 F9 A( 4# 9$ " " A$ 10 9$ &0 # CI 5r7r ©R 5r ` ©R 5a ` X 5a tr X gh tr F gh a F a gp §gh 7p "F rt` hp "r Cp Uv CI q gf oi grWk xF "F ©p tvCq bihgX hgp "` " |I´H xF "`pa F Uf h ©R { CT gX gsgX CT X 31 tr p %0 gh ¸T CF E4§ags § Ui f CX h5q f Xor gvgf r (PP q 5r "r V ©R UTt` ` p1R 5a 5q gr X gX "egh gFgF Ui{P 5 URCr xrX tv p h h gp q " ` a 5T X ©R T "¼ 5H C` X tr 7p |f 5r gr ©R 4F U` ©R f YHh tr 5 ìf 8B "I F ` "a gu

"r gF oi CF (r u gX ©R "T U` UT R ©R ¯V gF bP oV gsei 1R bi ©pgr "i"F ei"T ©R |F tr"T ´H gh F 5I Cr a & X tr GgF p "ItF (h (` 5v gu gX bP "` gp "H 5e CF "FbP gq gpUT P ©R5e %h gXg "`Uif h7XH

C¼ s ¨§ 7X Cr gX H %h 7p CF Yrr 4 F "f "I "F "e Ue "FdR "cUT ©RgF U` ¯r yR f7l h "B &r X U¼5a 0R ©X q bi gp tI egh oi 8B"q xF 5´e gX Cq r "TgX 5`"`"I gX HtT 5h5H gp ©RX "` ` 5rF 5m ìX gXUH R "` xH 5q X (R "a tv CF h gq "u P UH wh dR ¸c Cs or "r Cr§u "F gX gXt` C` 7pSH tr 7p1Er tT5r (r ©p©R gu biU` dP p ©R 5u Ur

¦C C C C C C C A # &( 7 ¦ 3 ! 95 d X 5` h C Cs X t` tr "c 7p h F pgr "F |f Cp v & SoV ¸Y"F !¦5 CX1 5¸1 76 T4 2 5R tr h 10 9$ &0 # C¼ 5q (X gv (P 0f 5` r fe "p "f gf gT yi bP õgp q 4X |F ts gr&h "F "T biSR p GP "I "r CI"e tF q Ch"F gXUT ©R ©R "4 ¦ 3 ! 95 d ei ²a0R f u ©¶ h "c ftr F 5p SR Uv"F UH oR dR vYc SRgf eieP f "I r "e p gF Ui ¨B |I B 7r 5r ! ©R ` 5a eV dR©p oc bi Chf CxX X l gp H 5r gX CI 5` "q X t` 5r
Xm

©p P ¨ "u"uUR rTv (R4tr § hv WT F xp X lv

F9 5 8 '& A$ 9$ 0 !# 3 ©4 # © 6X

"v CF tr r "F h tT p µq Q¨ ©R 5q "T ©R "F ` Xp f xr q 5` ! gX CI 7rH rxF ¡ 5q SR ©R P "p gX gf 5` 5i X oq r ¦ §¦

¨

VX # ©8 $ S( & A$ " " A$ 60 A$ &0 # x! ¸¦ ) 6X

¦

3

! 95 d G$ 2


F$

Ur5` tr CX5q 7X ©XX

Cq dP Cs

3F

p C"F (X

!

U CX C U 5 CX X e Uq dR 0R Uc oo p (TtT "I gp tu

tv§¨ gX h "` gpgp 5H q oR c 5v CI YX gh "F h` T "F Uc 5` ©R X

gX ©H "F" tTCF pUr oq oR! ¡Cv ©R T ` gf p yi

1R! t hp 5q gX Cp gq Põ

Crgp $ X x` D5 Cr Cs 5` "r g bBgX Cs¶ "T

9 &5 g# Cp Uq gX R CT gsP "F gF 5` ei X (R Cr UT dR Uc (R "r & CF Htr 7p

X9 bi !9trp 7p0"r pv 5q gX gX §H ôT 5v gX ¨H Cr U gX H

5 gX "T "Fpr 5` gX X CT Cq !gX ¶ §T C C ! xm yl r gp "F
(

©RgX©p 5`5H5i ´A r hi ©R tT ¤ p U

pX©X p Pgr 8SR C` öi1¹"r

tr h gp u "r gXCF UqtT C S¶ C t` Y 7p tv gp tH h "a & "F ©H"` B

xm yl 5R gp oR tr ( vh gr5r X"F ¨ "` gp "F §H r ¾h h

0! 8 7 & ©4 # © 6X

gA piYq 5qgr gu CIUi tr§T UH Cp 5q "fi W¨ tTxm tv 5` "u |v qgX "u H gX Cv ©R 7X ©T r gB ! ©p ©Rp yl C` U "r i ©R §¦ ¦

g gX "F 5` tT ©p d eP 7X "FgX r C` gp C` C tH "r X

gWh gF |u ei 5u Yr X"F tTgp tr ©p "F 7p 5i "` 5r Cq H Yh tv"c gp FeV tH (R hCp
§¦
¨

r gu bi Cs § tu Ch xX ©roR Cv "¼5` gF"T"T (v 5 T ( 5i h Ur Per Vgs X di X h u 5r tc ´FX tr©R PxH Cp ¸¢ "T¸¨ 5v %0oP §X trµFgu ¨ h oP gp UT 5 " 1R gX gF tH gh pF gX "c q F p(¼ ©p gu (¼ "F"u tcg "T gF 5`"r gp gX CF t bP tT ©p gp eigF (R %i X i h5r YXGV H(q 7p df rGV gX Uc §h GVgu §W "I "F "I¯H ©R §T Y` gX H "IUi gX gX "T "T H ¢ tTg ©p F Cs Ur " t "F 7p tT "rCs ¡ "u 5 U¸1 rp 0R hh 5q "rCF Cq"F trUT ` Cq trp §U ¸¢ V¤ ©R WT dR c X Cc gs U V©R Cu5` h p ©p©R UR (` 0 Xt "cCq gqC Ui XP gX

p v § 5q! S¶gX hU` " ©p©R "F gv gX (P öf "T 0fh tT

p gp ` "TCr Ui X §T oi P tH

0R q ©p(R vi P SR5r Xi p v gFUR ri
G$ 2 G$ 2

VX x# H 10 7$ d # ¸ &5 ©$ 7 0 H ¥¦ ¥¤ !1 5 ¸¢ 2 %0 ) 3 G0 1 ! ¸Y ¥¤ 1 52 ¨ " ` ¸¢ §W ¸¨ ¢ Q §1 §¢ 3 T)

b 7p ´r o Uf5 F ©RgX ta

CT gs "q ei CF 5` gp X U` 5r dR

©R 5q gX ©R UT íT UR (X c ©v ! F ©
2

tr h xu ! "u Cv "f gfd$ "F !"i tT Pp p 5a5p

p 5q gX "f 5` ©XgX eiCT UR 5r

"F g UT gF Ur CX oR X

0R ei 5q (R X vCc gs Ui¼ gX "u tH "T gh ( 4F "u hv4h Wq X 5a $ gX D5 "T F$ 5T 9 gX &5 tF g# gh 9

` CF tr h t` !9 gp "F 0 tH gh SR 5 gF eP

tup gp5q WTgX X fP Cv 5q "F

"` 5p H ©R ( 7X gX Cv 5` 5q g gX gF

gr gF 5` ei gu g oR bi gF

h P 0X V C"B X !3 gp "3 T ©¢ ¦ UR tr p p h 5q ©XX v ei (R5 gXv "T !3 5` "3 gX ¢ 5H §¦ X ¥ {h Y ¥¤ f ¸1 h 2

5a bi Xªh a "u Cr g` X ´P tr ¸¨ "p 4 gf ` 5i Uq ©p 5R

GV Ptqtr XgpCh

"I "T UT SR P "F tr gX 7p H g¼ ¯r oi74 {v9@ fq A8 q76 f T4h

2

r p Ur dR c Uq 0 Cvq 0g 5q %¥gFgX C bi5` C1h g d gF pei SRv v eP gX tu gF CT gp gs §T bi ©pts 5h CBbi 1h DA oB d Ugh d (R gF 7X ov WP {r ! yR "F "F "F j"F "T Ue ¦ "" 33 !! 9595 dd Cv F 5q V gX %0 5` 1 g gF eiP tr©R UTp tr 0Ru h Cc5q tv gXgs p "`Ui "r gX"F 5T tH
¡

) 0 "6 % cV 30 ¤ I QT 6 ! cV 0 I T ' WI # %@ ! ' cI )9 0 WI # 8I D

Xr C` (R tr hv xX gh mF
E
A



¢

¡

Y

A(

ei R ©R 5p ©R bP5` gp C 62 F0 "I5a "H©X gp F F 5a
f& '&

gX"I "HH X grht` Uv ! xF7p gX"F gf§R SR

d 2

a Ei HH u

& f& & 8 &5 # & 9 15 ¥5

e " yR "F jgT bP8B gp " t` "F h tT gp oV "F T "c F §¦gp 5`

p "I CT gs ei UR tr Ch §X yF Cs "r "F gT bP gp t` h u ©X eP ©R GT p § Uv R E yB "I tT p 5 gX 5` 5r X b X p §h (h "v&r "F U¼ hH 1R gr" "F"F UTtT gpdR Wc ©R " T "F yc tT gp ©R g T c A p "q g tF h r 5h gu 1R oP r 5 X Cr ¸q gX ©p"T biUT p0R h 5q "v gX "F "` H CF "r Cr 5` ©X X Ph 5r U X (R %$ "( $ @ X @ X @ &( 5 ©$ 7 0 H Y &( 0 %$ 8 9( 0 F# &2 5 8 5 E# & ¦ !7 $ ( ©R 5` C X "c F 1F CA }AUv "ftT gp "F gT tT bPp gp U t` ©R h 5`íu C "u´a ` ©X a bi gh F "F 5a ©X ei C¥ X xr ©R ! T 5q íc (X gv oV X "r tSRUv bP ©p gp P "F f "T 5` U oi ` xF Cq Cr gX ©R H "` gX X "`5q ½v t ©p Croi HX tr h wF tv X xF Ch CqgX gX 5` 5qp ´r X gh ¯q "` 5r}H UT SR |F WX " 4h "F tT "f p U §B"F ei ! R "H H "u "H ` (H
7 5 & "7 f$ A( !#
¥ ¥ ¥

(r gu eP 5u yvxq qp "I gf 5` oi !7 65 '& UR Yror gf tT P gp 0X ( Xgf "c "i pF ¯P "u öf "H h UR Ur )( (R v©p öP #aq

"f "F tT xFX 5r CqX !7 $ 5V gu %q Ui (H r "u (¼ f! 8 h

gp ©R gB T 5q gX gv hH " "F f( f$ gX8 E# &tr ©p ¦ `5 u gs 5¼ Ui X "u( !7"` "` ! 2# ¦ H 5 a Cc &r E# '& ¼

c X UT CI SR tq "F tT tT gp U gT 8 !1 eP $ ( tqgX $ yqF (X & v

pgh "F p 5u !7 htH gh "F ( 5H

`Y YFCm "B t X ©p tr oi h t`X h"c u hF q GV ! |I ¸¢ ¸ 1 ¥ ¸¢ Hei 5R"u Ur ` (Ra Yv 5 qX §©X ei gf UR P Ur 0X (R 5V 4v yq F §85a &5©X # ei & 5R ¦Ur (R"7 oR |vF 5r 5q "r 7p 5F gr &FUc
© ¸¢ ¥1 "( © ¸¢ ¥1 ¨§ © ¥¢ ¸
1 ¸¢ §H 8 1 ¸¢ 60 ¸U 1

7pxF r Cq gX p e "` QH A Cr r X "p Uc "f ©R gT 5` bP C gp }X ©¨ 1 3) 3 " 3 "q gF t` gpbi h H xp gs ! oi gpCF WTr f h r &r p vf$ 3( CF {Fr §8 &5 ei Cs R "r p Cs h Ur ©R ts
¦5 ¦5 ¦ "F gTF h5` pC

t` (¼Ur r E# p

& !9 5

(H "Fu 95 grCq ei Ur &( dR

a"u e` #Rt ©p G$ "`"` eP íc 15 R

7 " 65 p& 9 15 §5 # # ¸ x# f& & §8 &5 E# & !9 15 5 ¸ 95 98 7 9 65 A$ Q C A$ ¥0 d $ 2H ¸ ©5 ¥¤ d¶ p "I "T tT 7p r gp C` µq }¨ gp F ¨§ C ¯X SR ei ©R ©R tT fh f h &r U¼ SR tP 5c X ¯h X 5a X r 4 gf yi õ 8B "H (H "u ` a 1Fp t U 5q 0X X V gv C (P X 0f gp 5` "T gX ! pH¶ tr oV p WFh ©RgF oiT xF ©R Cq "H gX (H "` "u H ` a F ©R gTyj P i X X"I ta C` p "r h tv Wq gp tH gF h ! b pgh UT " SR Uv ei 5R R "r ! Csp r "I 5ICT h gs ei tr 0R p gu oP 7X CF r"q ¨ gF oP "I "T "H WF

x# ¥ ¥ ¥ # f& & 8 5 E# & 0! §7 60 f$ r( ¥1 f& & & 7 8 ©5 $ # ! A G$ f$ 8 ( 4 ¥ ¥ ¥ "! !9 15 5 ¥1 9 10 §C ¥ g 2H Q &( 9 ¸¢

f& & & 7 8 ©5 $ # ! A G$ f$ 8 ( 4 D8 $ "( §H 8 8 0 9 65 8 ¨# 8 5 H 0 G$ 2 8 H0 d G$ 2 10 ( $7 d G$ 2

w ©p oi oV xF (H "uöf h `

CF rCq wgX "` eV YH agp F ©R § T t¼

§1 5¨ 40 D8 $ §1 5¨ 40 3 G0 5¤

©R X ` gh UT íq SR ©R p §` h q tr

§ ¨ ) ¨ 3 ! 95 d 0 9 65 8 ¨# 8 5 § ¨ 3) ! 3 ! 95 '& %$ %$ 8 &( x f$ §W ¨ 3) 3 ! 95

B @ 1! # ) "6 T ' ! ) X 32 %0 V )%! V "6 )U! WP T 2 R B cR I 0 I )2 YV )2 3 4 )2 ! AR q

WI

5abP ©Xgp t`ei h5R §qX §h SR 7X P

uUr (R Fv 5a gr xX gF mP
E
A


7B 0S '7 " 1 8 '¡ " 0 ' f 0 ( ¡ 3F ¸ ! H ¤ ¸ ") I 0 U ¡ 7 & U ! "! C 0 ' ( 0 1 D ¦ 0% & " ¡ ¤ 5 7B ') ') ¡ ! 0 C V ¤ XW E `Y X aW bc `W ¤ ¤ R § 3F ¡ C GD 7 A@ D ¡ 3F 9 '& ¸ G H H ¨ C 1 8 ¡ ¡ ! ! ¡ 7¸ 6 " 7B " PI 43 3F 2 C R ¤ QD "& 0 ¤ ( ¡ 3F GH ¡ ¤ ¦ D C 0 9¨ ') " ¸ ¡ '( 0 ! ¢& % ed ¦Q h¤ f PI 3F #$ E E H " ' GD ¦ D ¡ (& !g ! 7B ¤ ED C § ed ¦E @ ¨ ¢ ¡ 7B ! ©¨ § & T7 ¨ ¤ ¡ ¦ ¥¤ ¸ ¡ '¡ ¢¡

0 g


Ui X ´H ` (X XCq

¸¢ 0R5e ©p
§7

c i P

P

tT X ©X"F Ui}h

ôB (p "f Cv "F tr p"e h tv gp gX "` YH 5` (XCr gXYv CsU X r ´h 5I Cs Ur ©RSR §TGP gB CI g 5q ´q CsF Cr "r gX CFt C` ©ptr "r h oi tv "u xFgp 5H tH Cq gX h gX "` X"` Uo X "F q C` tr CI 7p }q Cr X 5r "I yX 5` oV "I "F C` tv "r h tv gp gp " H |F § r §B Ch e5á ¥ ©R§ `"F2 "F ©p "e P v©ë0X gu V bP #! gp ë

C` Uf "r ©R tv "Tgp t`tH p%h tq gpr pT CI "r r ©X tr P p ! 5R 7X tr írp h "F X "F 5a "e H gv tr (P "p"f 0f gf"F 5` UitT gX ©pX %H qbi 5cgh "f gX "F "F H gXh p C` tr "r h tv7p gp r tH µq h %¨ p "F 5a xm v5r ylX "F xv Yi "F ! "e gf C` Uv "i"r ©R Ptv C` gp trgT tH h 0B # ! CI 4¤ Ur7 ¥U 5R ív¸Y dr §1 gs ½ ei "¤ u 8ä¸T tc Tgp
§¤

F¡ t 5 ¸h X "c h 5F gX§¢ 43"` 5UGH 4¤ ©¶ § "F gX "` (X gf gX Yv "i H íP ©R gp (` "F f gu htT bP ©8 $ S( '& §8 5 © b h § w xY tv 5RUv R §` §v 5 Yq X öf"q "r "` q "T gF hP r b (R 5q ` p CT Ur pgs Ur di tc" ©`X


P 5` gT

oP 5qtv gp CIp c 4q ei"e v X 9 @ 82

¥ 1 ¢ 3U %0 ¸Y ¸¤ ¸1 ¥2 ¥1 ¤ ¢

X ¯T 5` }F©X Ui Y Ur gp (R "T"I "I CI |6 C)

"it` 7p gs UR bier # Q3

h "F CvA ©R u 0!

"f gp43 ©ptr 5p bi oR 49yv 5 gF gX gp 5T gX 7 "v

0d g tT 7 ©p 5eP X©R "q CH "F5q X"` hh v X t 5a p gX § "T qgX bP "`gp CI H"` Ur 5HR gp X5 ©R ©R (X 5` TCv C gs |èX Ui eB X Uf "r Yr h # "u 15 UH ©8 dR 7 }c 9 15 C` $ tr 7p 5 5r gX ©R (` U` 0X(R PCveV 0X©R5q GVgXfT 5` CI ggIYq gFtP qtcei p oR öfq §v hc r f |f !5v g %X(R gF 5v ei F X oR 5r p%v gX "I wHUf "T ©R 5"r CT X "f"q (r "FCF §u UrtT Sz # "! 0 ' #~ S o3 w6 ' o02 ' §
¢

h CF qgp 0fd( ! tH ¼ (P 0RCF

hC` oi gp §h ! (` 5v gu gX 5qSR oP©R tv" Uv gp oi 5T tH X
¡


(

§Y " ¨ 5 49 !5 8 4 ¸Y !8 A( 0 §¦ ¥¤ !1 5 © §¢ ©¨ ¥¦ §¤ ¢ 3) ! " 3 ! 95 d G$ 2

U(¼ ©R "u ( "` gu CF bi"r ©R U` 5` SR X oP 5r UT (X UR |v tr gu bP f gp h 5etr gX"p "`"f h yR tr 5pxl (R ©B tv ©8 h $ "u U¼ gr 0R YF "q F gF tbi gp©R t t`7p ©Rp Cr "rT gX cF "` 02ö 5áo ' "! ©! | § (v

yh tv gp 5p "` ©R 5` ( X gu v bi !h 5 " ©X "F tP tvtc hp íHS(gT p& Ui 5q9gX X&5 H gv# CI (P "q 1h UH dR 8B &c t X ©p Ur oi ! Ufh (R F tv h f gp h " &r H r CIf h5q &rX gv U¼ 2 S ¦z w! #

tr r Ch p 7X grg CFdP outr h§V 7p µq r }¨ 5q X gF íc" "F 5 C` X tr "q7p t` Cr gp X ´H 5r yX X "rCq gX7 5` gX yj fH 4i "F 5r "F ©R Ue C` 1R "r gr tv tFgp (h tH "! # 15 ©8 7 9 15 $ 5 gX gh!¦ "u 1 gF "`¸1 P "F¤ "T¦" !5F"F 7T tv gp h 5q h`gp X " "r p yF U` 0f Ur 5` 1R gX Cr H X Cr tUq 7p ôR Yr! ©R v C` "r©R 8ä"! q I 0!Uc 7(R gv 5v Cv& gX 1 x$ H %) Q6 (V w tf W S ©p f¦

F gT Ui X q "T "r T tv gp X tH gp h e"F SR tT ptP gX gr H CF tr 5q 7p X 5rgh §R UT SR bP "` gp "H 5e UH gX sR "` H "I ¶ `UT aUR tr ©R §h WT oV f"F h tH5R rq%h oR5q F X"v "r"e5T tvXCF 8p gh gF ë # P # "! ©R & T 9 |$ "2

gF "i tc ¨§p Cq X UH eiUR yj Rr "rtv h5n gpgFC X gaCItr 5hP5r ©RgXCX H # # ! o3 é'

tv Csp "r§r CF q tr h gI"u oPUH dRUT c1R Cr gX (X §T Wv d 57X X r r x r p©p Ur bi §RCh xX© 8B l " "F T
10
©¨

¨

¨

¨

b p U ©R 5` C X "c F bV p h q 8 5 E# & x %( G$ ( 5a ©X ei UR Ur oR Yv f h r ¡ SR tP 5c X %h "F "F 5` X "r tv )F gp "` "¼ gF "F P "e v t gu p bP §gp "u h` ¦ 6XY §¦ 8 A( 00X # g! ¥X8 937 '& 9( 96X §¦"! ¸ 95VX x#98 7 93X ¦65 A$ Q0X #C A$ ¥02H 10 df$ $ x#2H ¸¥ ©5&5 %$¥¤ 99 3X ¦ CB 5 p gs 5r bi CX p 5 Ur ©R 0R h`5q ©X 5 bP gX ©p CT bi 5q Ch gX gX tT H Ch X 5 gX v §T Cs (Ur "u©R WT(H Cu q tr gh "F "F 5 "` gX yH }T gX " §T "F d tT 7X p 0r U ! ©R ©R 5` tT C gp X " "c 5T pF X Uv5a dR©X §c ei UR GV Ur "I(R "Tv UT SR P "I gT GV Ui "I gX "T ¯H

1F CF tr Ch gX T 5 X f h5q trgX 5p 5` 0R g "q gF gF ei 5i oR Uq yv UR oR5r XCv ga 5q PX gX5r XWH ga X P 5a gX X yH r SR P gf5a xXyi mõ

¡

g 2H §¦ ¥¤ !1 5 © §¢ ©¨ ¥¦ §¤ ¢ 3) " 3 ! 95 d G$ 2 §C ¥ g 2H 10 ¨§ 60 ( '& %$ %$ 8 &( x f$ $ 7 # VX # ¸¢ 3 G0 5¤ © ¥¢ ¸ ¸U 1 §W ¨ ) " 3 ! 95 d G$ 2

WV # © "6 )U! WP T )2 4 R V UP R )% @ QT ""6 8R X 82 R 6 I T QP " WI !

E

A

bB ¶ ts # 8 5 & 95 98 7 7 15 $ xq 7X "r 0f "` H gI oP UT 1R Cr (X "I g¼ C` oi tr {v7p 5r tr ©R 5p U` 0R ©R "q H gF 5i p Uq "I ©R "T UT UTUR ©Rtr h 5` uC ©X P gX j H PB pIH GH h B %q

Gv gh Csgp "F "r F UH dR § c (¼ ©R URCF 5q tr gX (h
aF TD B

Cu YT Cq tr (H tvUT URp tr "r 1h

h Cu tr trp Ch Cq ©X 5r PCX X |u 5T §°X vCB f4 SR A@ oPA8 f6UT

$ D5 4$ !9 &5 g# 9 9 ©0 ©2 $ "! 4# 8 " A$ ¨ ¸¢ W ¨ ¢ Q D1 %0 V1 %0 VU 0 ) 4 " 3 ! 95 d G$ 2
5

yh r "q gp CF YT Uq R yv 1R54 2 Cr (X UR ív tr

C p ©X tr P p Ufh tv ©Rp "rCT

7p gF groi xFfF "r5T (XU` SR´v

"q I "F tT 7p X oP gf UT "i UR Ptr ´h

"r g ! p r "c CF UR "I r "T %

gX "T t gp 5T "! gX §T XxF "r gq 7 "F ! te

7X X r ©v gX ! (Xgp UvtH ©R8h

CT "F "q CF CF 5q gT! P0R 7X 5q

Ur ©X ©R bi "T h !©X bi gr §h

t`Yu p dr"F gs "` CF ptr 7p CI 5r tq

ei µH ¨R §Rgp

CF "f "I U gX

r 0R gF Uq UT UR tF tTgI h ( Ui fvX gX X5I y X bi Ch"F tr Ch

h gp P 5` 0X

Cs Ur p U guph oR V

"q 5a H CI (r

5i rpC "u T

©R r ( ©p %u "a CF

tr h gX8B "F gT H ©X P

u Ui X 1F5r 74 ©R "e (v Uf "T gp tT h "r gp ¯q T gu ©R bP WF öf

"F 9@ "T ´` gp

tF A8 h 76 h T4 p ¨2 h 5R5 trX UT "F gF ©R gv "i o` eP P V SR X gXi h 5rH gF P 0X V h ¸B gX

h r 5 tvy (X p "cCv "r 5qhF ´XX ©r F ! ¶ DB CI C` H tr h 5IU %²

0! 8 7 & ¨ ©4 # ¸ "4 ¨ VX x# H 10 7$ d # ¸ &5 ©$ 7 0 H ¥¦ ¥¤ !1 5 ¸¢ 2 %0 ) 4 " 3 ! 95 d G$ 2 f$ 25 4$ 9 5 0# 7 9 0 2 d$ "! "# ©8 9$ ¨ ¢ W ¨ ¢ ¢ ¨ §1 3 ) X " 3 ! 95 d G$ 2 3 "3 ©¢ ¦ ¸ ¸Y ¥¤ 1 52 ¨ " ` ¸¢ §W ¸¨ ¢ Q §1 §¢ 3 3) ©¨ " 3 ! 95 d G$ 2

5T (X tr v h DB B gX 5` ¤ &5r "F CX Cv5

tv p g gFp ( ©R {` 5q (¢ gX ©

"r Ur 0R 5q gX "` ei5q (RX wF © ¢ !CTbi ptr ( gp"r & "`CF 5q"v 1 5` Wv1R Cr 5 (X gX v §T

c5T Yv (X CIpv 5 Qq gX Cs 5( gX ¢ CT ¨ gs g 5 gF©X eioP (R UT ¦ §¦

F "c gF ei ©R "F 5T ¤ (X v 1 h q gu & ©& ! CsX 5r "r ¡ X "F eP ga tH©R P gp T gX "`

"e "F "T F gX (P ©p 0f P U` 0X ©R 5V pT ·q H²¢ p ©Ur ¨ UR er gs"I "fUv dR"F c tT ©p 0R 5i 5q 5q

§T r p 7X § gr C`oV Ftr 7p "r 5r §F gX gXdi tT uUT h tcUR gp tr©X hp`

(¼ ! gu X bP 5q ©R U`0 ©Rt` ©p eP u ©R %q pTh h

©p gX bi UT Ch dR H P p X h "I UrgF gp bi UR 5eh er gX

¸

gX c fH "f CT f$ gs 25 ei gs "` UBdi H tru p

"F "F "` tT 1R4$ 9 gr tc gX gp5q "T ²XW`

{Hgp 0# 7Uc©R CF "r " 5I F

©R T `c 5H9 0X &


Cg g R


o "

C X "F
1

gf X gB

"r SR



5`©X

C

gF "i P Ui X v "i P ¨ p v Cq tr h Ch gX H
T a` y
Y



e e

C` C X | & yq "q p eVy A gX "T gX 5h

Wv "iUg d

X

tr Ah Ui


q U` (P t tr p "I X 5a ©R ©R5R ©R¸R gp 5T

( &¡ x¢ "( © "f "F tT p U oP UT UR tr h 0 f 5` gX H r ©p P ¨ t tr Cu Cq gh "e gF 5 5R gX CT ©R gp C` pr "r tv"cfv tH "¼ ©R T ! t5q ©p gv p 0f "v X Uc UH gF

¨ ©R ©R 5` © )( e A gX P Ug %F"e tT ! 5a CF gX }H Ch "Ií¨ "c Cd ST X "ep 5` "F wP tv gp

SR "r gp h "F U "c gX t` b U ¢ t tF ¸± pF 1 U &¤ ¶ tT U Ui gh "T bP ©R C` % %h y¨ X UT "F Ua |F (h GV 0R f 0R Uc (R Ua 5` tr SR X tT "r tr UR gX "c"q qY CF 5h CT yX gX #¢ ©R 5q "` "T QT ©R "r gp 5r "F "F "r tv "F © gF5` h tr gXh 0f Qh 5a tv {F Gq 5q gh 5 Ch "e ( 0R 5r í A "I C` ©R C` tH X 5a oi tr gp p¶ yr CT tr©R ¡ gX oV ©R UT tv 5r 7X "f "T R h "T YFtF ©R "r "( FH tv 5q tH r Ch tT p 7p r q 0 © ¢X "f tT p gpGV oV "ItH ©R ©R"I gp "eC` " tr 5p B gv "` (P F X gX "` H ¤ y CF p tT F©p h"f 5"r rv gX C` "T gf "i

oi U ©R 5` A gp "v tr "T ¸± tv gp "F Ui UR"H Ch q¥ ©R &¤I H gX t

"itr §Rgp X tT Ey CA q e©H gB Cd "F tv8q r 5` C v1R "T 0X ©Xgp p oi UT gh q h"e ©RUi5q 5a "T gFgF Cr F ! xw y %




Ey

CF CB gF gh"r "TgF oA Ck c
E

FP

RF

tr Ui Uq gp ¯F (X bi ©R 5q gX

p t ©p r t` h eV "F (P (h ©R C` "r

CT t CA gF 5d¶ tr YH wq tH h

gh ¢ CF ¢©R p"f "F " tT |Fp r "F "f §¢ 1R%v Xh gp P p

q "F UT SR tP 5c X h "F "F 5` X "c 5q¶ gX "I 5` gT X Ui "r X "H Qq "F "` "I tv "T h gF ©p UT 0R X Uc ©R 5` C X gp "` yH W g¶ gp UT 0R 5q X Uc ©R 5` C X gp "` Ur tr &h gp "F bi tT p ©p h bi"v gh "F "F YH CI 5` C 5r 5fX ©X oPgI UTei 1R(R v Cr X W v 5 "f X 1 y &¤ ¢ ¹ 5 ©X oP UT q tT ©q U ! ©R 5q 5` ©X C Ui X X 5r |q X gr tF gI Yh ei (R f r X 5` v C X %X "c GVhF "I X "T5a gXUT SRgT PP 5"` "F tv "T ©p tT PU p ©R dR (5` c C"ut X"c` "cUaF FdR Xc ptq 5qgp©p ©X UT5i Cr ¯X C GV í` DA "I ! (R"T 5vUT gXgpSR C`5TpP trX ´hgpUc ©R"F ªA UHUT ©R0R av Y e P A X qX 5a CI gX 7q "T UT 0R C 5qC gXC "` DA 5T X u dv b X` ± " "F ©R tT ½T p UP C ©X eP "u ! © ¢ ¤ tf ©p


"f %F 5q "F UR X¹ p U UCI Ch ©R gXtT h p UcC ©R v "I 5T

1

gh P yF Ua öfP W h b gB"rGV UggF CI C § C W h w tT S p §¦ U Crh gp X " %v5 V bi"Fgh yh xF S¶UT 0R "F X |qt ©p gr X` gh X"F eiP oR q "v Ua ©R C` W tr X q CI q oi©R 5` C X gItH gh oP gF

"F 5q Cd P X Ug DAgX ! §H |F ©R gX "f p ©p gp "F5q X tFbi p h x` gX CF |u "r (h e v "c WF4 UT P 1Ro

u

íp "r 1 h "( CIRUc xq gpgp "FT y b X CAa e y C C byk C C X "cGF YF DA ! "F "F t gq tTgp "F p "T U` gF U bR §i©R5a ©RtH "F gh h` ` gF XP 5a ©R gX "vtv gp"F "`H 5` X WA tT"a a` CFp xY gq ( PA` "uh i ` t` ©X p bi¯q Cp gX ¯H v P DA X! qA CI tf ©p oA oi C tH ! gh Cr dvX byv X` p ± "I

© A` !i w gTtT p§ gB Ui"r Ug § h ©R v Ci (c k "u ¤¥(R (R C Cv X 5q "c "T§T ¸ tT (R p ©R gf ST UatT ¸ p dR c Ug XX "r5a 1q Y dh b gF oA xP Ck gp¯ 5`gp "FX UT5r

W Cd ¸ "F gF Cd "i CAUi y5 CA tH ty (c5R Cv 5hUa XdRu G¹ X tv (q gX r r Ug CA Cd tPh Cd5c

u Ug bi p h "v Yq "T Ug S¶Cd "e CA gF y C` Ug "r Cd tv gp ` UgUa CddR Yc YFCv 5q gX"F vUT trgX ( UT gh "u5R "F `tr wPCd CA 8 y 7X! gp r C` 5c "r Cd 7 CA 1¿ y G |T ! r Uv p UR AqW Ug ¤¸ Cd "F ¢¡ UT SR Ug (XSR tvtP gp5c XT

H CA y X 5a X b "q t` gp © QH "I U¤ gT y Ui ¤ X q1¢ ©R "T ¡ P CA y (R Cv trb p h ¨ © y` gq U¤ "F y We ¤ "u 1¢ "v 5T ©X¡ URb Wr ² F " © "F U¢ tT p 8U ©©R 5` C¤ X ( "c WF&¥ gf h Xb 5a © gX "T)( | UT 0R& 5q gX 8 "` © F Ua ¤©R C` ( tr &¥h v y p §Y (¼ x gu ¸± bP ©p ¢ bi yh 1 U ©p " bi © Ch gX ( H #¢ tr "( p © Cu "utr h ` #uUa v dR Yc P b ti ¨`h p §(( (¼)()( UU gu y y bP ©p ¤¤ bi ¢¢ yh ©p ¹¹ bi c T a` 1 ¨y 1¿ 8 ¢G¹ ¸H #¢ hl ( y Ug¡ Cd ¤ ¢ CA¢8 y ²¹ ¹ gp&¸ tH x¢ h ( wq r ( |I 1¥ gr gF oP 1 CF gq ! 5rB ©R ²r "e © F gp "F UT ©R t 7p gr "F ` l p¨ Ug Cd CA y ´l Ug Cd CA y T a` y "I "e 5r T"X a` "F y r tT gu p 8 oP U G¹F ©R ¸ 5`CF Ctr#¢ XCh ( "cgX y QFCT ¤ "q ttF ¢ ©pgh oitT p¹tH y CA y Y xY ¸± ¦¢ 1 U U¡ y ¸ ¤( ¢ 1¹ ¹ X CAh y 4 r (bgp © C` tr h¦U¤ "a T U¡ ¸ ( 1¢( oA C ²¡1¹ ! r ©p bP 9H p "q "F¢ "` ¡ H C± gp "F tT gp( 1¢ g¼ oi ²¡ Uv dR
¡¢

YV ST QP " cI !

6 QP I P 39 W0 8@ $ 2 ! V cI %0 QX CI ¥ R I P " I

A

©B
98

p&

8 9$ 15 8 ! 4 ¸Y !8 A( 0 §¦ ¥¤ !1 5 © §¢ ©¨ ¥¦ §¤ ¢ ) ¥¨ " 3 ! 95 d G$ 2

" F § R 0 t` ©p P X xh ! "r "H "F "` tv ¯h " F F" t ¥ UeP ©Rhu 5` gX C §TX "c xF 7X p ´r e k "F WA "F "egX vH gu X bP a gp e ´` A "F h "F UT "F ©R Cv "
§

E! '& &( ©5 f §9 # ©2 $ ! "# 8 " A$

¨

p tr¤ Ch ¢ 5r 5T CX X 5 5v

3) 3 ¨ 3 ! 95 d G$ 2

gX "`U¡ H 1 Cs Ur 1 0R q ©R hX 5` C xX YX l gf "i P

f$ )( '& A$ x 28 ! ¥5 2H x %( G$ ( ¥¦ ¥¤ !1 5 ¥¢ ©¨ ¥¦ §¤ ¸¢

U X X 5a Cc 7X gs r Ui 5p gX 0R tH Uq gh SR hF tP 5c gX X §T #h "! e7X ©R pr 5` XX h5a |uX r r YW gfX ta yi p SB h"õ 8 qyB 5 E# gI p&"¼ oi "F U tT %(R ©p G$ qei ( SR p p eP 5a "IYu ©X §T gXei (5R H Ur"u "4 ¦ gphtvXCr "ugf ` UHyi gu dR gõbP pc gp "B Cs5e 4¤ UrgX ¥U 0R "` ¸Y q ¸H ¥W CI§ q Ur3 ©8 R $ 5C` S(©Rtr & 7p 5` x C5r %(X©R G$ U` gX A( ©R §T# YH 15 d ©8§¦ 7X 7¸¤ hr 91 15 8 $ 5 ¥¢E# Cu

©0

gu oP UT 1R Cr (X ív (R tT gpv T q Cs gp "r "F gF tT ei p SR ¥Y " &( 3 ¦ ¸Y 5q X %(c G$ CIUq C( xqSR eP CFv dR tr ôcC` Ch

tr!gX 7p gXCT 5rgs§T ©R bi d pU` 7X ©RUr 0RrH 5q 5rp ©X X bP¨§ r ©p C ¸ biCX CsCh X "rgX q CFYH Uq "¼ CFR "F trC 5h"e ©X ©Rtv 1P gp ©p "` p P 5` X "IX v WvCT qgs Cs bi f"r ©p h "F dP r tTr ¡ 7p oP r "F r "` H


C

tT %i gh X H gX tr te }¨ t`

p 5c gX5r XH F © %$ ¤ vTP 5a5tr tvS ¨hq 5a i ¨ C` rH
¢

"I UT bi 5q ©p "` F 7X "r" tr "r h tFX CF dR gpUf §h "f r gp gF X"I oe tr bi

r tr0 u"FoV gsh "T gX" ©R ! C`C ¦ tT Cr "` gX UT 1R QT SR CI 5 Cc hP 5R "` X

gf yP gp{F Ur "T# F! tv gX F q |FUv ©R "r gX ¹ 5r r "F|u p p
¥ ptv 5hr "I¨¦ "u x UayX ©R 5 Cs GV C` 5H rtT "F 5p tT SR

©p "F " 5h i 5r X 5 ôr "T gX ¥ T " gX 5q C` (h "F 5 5H gq "F P GV |Fq 0R oB ©X Yh ¸¢ Xh 0R "r

¶" tF (R 1R f Cq tr ! ! ! (R h 5H 7p Cr XtT p ©p "` gu Ui ¡ gX 5r tT5 ©X 5r ©p µa "T ©Rh bi "`C` 5r(Xtv "`r GP

"r tv "v tH 5 gX g ©p ei 0f CvgX ©R h C r

tr1 ¥ UT C` X Ch gf "` V gq xF r t 5r gX 4`5i X 1¹ P ¸¢ "i tH YF(X |F h gB X tF Yh X "T 0R " gX gh "T ´HgX %H XWr 5a 5q ¡ Ui X xh gX fq X©p rbir gF X bi v

v "f r 0R HUi tH UR ©Rtr Qq oi "I t X gp "T gF h "I p

§


HT Tq

gfo C` CF "r"i GV!5 ! 7X t "c g¼ ©Rb gp C` 5r X o Wq tv o t ©RGV 5` gF gr Gi

R tvP gp "T¢ # Ui r 5Fop tvCF 1RtH "r "T "r5T gX UF 5I dR

& tHöf hh 0R ©R gf ¨§ T gp p tH rtF "pgh GV i tv "F p Cc hq 5q

§B "p gX "r bP "T Cr Uq |I gT öf oh ©pgf gX GV C`

Cc "Ftv "F# tTgX gp 7p H "` 5ah Ui 5pc gX Uf gp §R "I "r "T tv

WV I "6 )%! cV 80 )2 %! ! @T T 5 8 3 8 ) V ) % WV & % WV %! 2 ) "6 )4 #R

UT gpUi 5H "r ©X "F 7X "Tt gp H gp GP § r 5` ¡ UT gp SR tH

tHCF §` gh tr gp ¤ e 3C pr! H ¦ "©p 0R"F Ue 5q "F g¼ "q Ui ! ¼ u t v h P}h |F GV

"i 5` oRX F¥¤ &# bi p § "`gr 5` 5R r ©R 5r T gs Ui %X gp or |I "f r

1R C` Cs 4r "r "FD o "` p 5q ¸ r (X C` gh tr UT (r "f "I tvgT gp "! ô tr gh p GP U g¼

tv gp ©R Uf F 9 tv gv©R P v©R C` tH0X{X ¸h & tF bi h (R Ui tv 5

0R tH gF tq Wh { 1R R¸¦ hrf 5` S¶"a CI CF Wq X gh ©R WF T

bi" X ½p "F tv gX ! "T gX UT ¸ H©R ` 5q "F gX oe "T gf tT r gTP h"IUi &¡ 5a! gX Cr |F F r oV

h gp 5I #" C bB 0R tT 5q p 5a gX ¸ gX t`¸ bigp gp " X"T q UT ©p "T gX UT C` "I "FCT gstv

CF "r ©R "` "r C 5` 5qtv gF oi(R 5q tv h ei gp

tr p g 5` ! X tFCh (h C tv gX gp 3C T (X gX Qv 0H gXh "i 5q 5` P CFgv tr (P xh X gp Uc tH 1R " gr CF

"r "T " xFX ©h h F r! t` gF 5`p q 5` "F tr "T p

0k p &#h tr e ©p {q ôF "f "f©R¥ "F5` 5v (rX tv "u 5h oi (R 5H Cv §Htr "f p "F X |Igp |F"r "Tr tF

g P¨ tv 5h "f "F "f UT "F pX "r 5h tv 51R %H 1R Wr tr XP ©R ¸T oe t` gf7p ôH5p SR ! h {h "f Ur

r F ¥ Uc tvtT p gX prtr CT 5p 5 5R C¼ P Cs Cr gp©R gX ©R C`g¼ "F ©R UT "T

R ! ©R¢ 5` "u¨§ ©X 5r5q &P CXgX CX"T tr½¨ Ch §T 5`"r "r Ui tv5 0R gF 5q 0P

¶ Cp öi Cq CX5a "H gX CF 5qX hX ©R©p gX gT gT Ui yXgpv gp©R tHT gX 5` "` CX

& h¨ gF ©R bP t " ©p gX h Cu "T 5r X WH "T pX ( 5a 5a "I (X gp "` r

5q p tr oi"F "T 5TxX WP ga gF % 5q tv tv UT h 5` p X tr

gXh 5h gF "i gf Cq X tF Cq &¡gX ¯PbB r ¶ "F gvgp gp 5q vgh b tF

SR oi hP"` H gT X "i gX P "` tr t` gh gp UT gX CT 5q"I 7X gT " "I CF "T tr (P gh f t` 5` CFgX "` tr "F h ¯h Ch gX |F

GV 5a4q X 7X q ©R UT GV ©R gh C` gF ©pgs ei yrUi X gq p gp "r 5T gX tH H gh "r"T 5F"T "` "r v "f

"I CT 5p"F "I "IT P5r Ch CX CF"F "F U` tF µv GV P tF gp ´h "F "F F Ue

©pgs q ei 5i I ©R Uq Uc C` UR ©R "r tr T ©htv gp bPp gptH "h "` Uv H oV 5R "F µr X h¨ gT ta tP Uc"T ©R gF 5` "i C P X & p {l "I CT 5` tr CX h 5 p ©R q "c´T 5a5 "` ©R gX ¸H ` CT Ucq Ur ©R ©R©R §` 5`C` C"r©R X tvT gp X§ tH 5a 8Bh gX " XCT "F %h gp tH Yq h ©Ry (` ¶ gu ©R bP C` gp "r 5e tv gX gp ` tH h l tR "T 5a gF ©X "i ´i ²P p ¶ Cq 1R tr r gh UT gq ©R "F C` U` tr bR Ch "f |F "F r oe gfCI "rbi gp F "` t 5` h xX X Um h oB 5q CT C¼ gs Cs bi tr ©p Ch dP 7X 5r gr X tF ght ©p CF oiUq dRxF Yc Cq "fgp T"F oe h gf F bi©¨p gp gq5v "` ©XQP 5` (P xX "I0f 5`UT¨m gX©R CB 0H5` A ta 1R p gr Ur 5`©R yX C` tr q xh gh UTp ©RCq trC` h }r gp |F oR


UvtT ©R©p(R Xh# p gXgX ©X "` gX5 gX"` ¥ r v "ICI

E D

U (X tv {h GV o "F "I C` CT Ur "q1R |I gf rP p 0X tr "V b t 7p p r tr xh Ch gX X

r CI h tq5h gp ©R ` gu gh CF tFUr %h ©R "T 5 t` gX p 5`P 5a gX X (X Htv tv Wh h 5q"I GV

i g¶ GV drgp §Tgs ¸i ts C` "T "r 5` tvX gp Ur gX CIt` ©ptq gp oi

"I CT gs ©h ©R ©p bB5` tPy¶ CX pc 5HtH guhh©X i 1P gp

bi p "r tF g¼ 5q bi Xp "rUr "F5 SR tv i h gp gp "f "F "F tT tT ©p ©p

Ch gX CT 5r SRU` SRGP oP g¼ UT "gf "i CF &P tr pp bi bi ©p ©p bP bP gp gp

X f¨ " "F tT Ui UR 5 tr ©R h "YT tP v c "r "I "T "T tF tT ½h ©p bi "` "` 5H 5H X WX f gf h "i

©p bi gh "F CI "¼q¡ c "F tT |F p 5r 5©R CI gh (r "F "f "T CI "F "q "` ! tr hP"p gf "u 5i C` oq "r ¸f tv

q gf "i gX C`CF CT "rtr 5rCh tv X7Xgp gpH 5q gXtH p Yh C` "I "r

tH{P h tT |F ©p rP gr gX CF WH tr pgT |u CT tv gsCrgp gXbitH ©p§hCT Pgs

X "a "F "` WH Ui X|I Yq r 5p "T SR 7Xtq §h pr 5q dR X c h "F bi Cv ©p 5r P CX 7X 5 Wr ©R

gF GP 5p5h

gX CT Uq ©R x` ! gX "i g¼ P Ui "f5 ©R"F TtT p %h ©RSR oi ( v gu biF fh 5q X r 5` v C X "¼ "F5 gXtT p"T 5T 5

§T d 7X § "F7p "F r oeyh ph 5h USR ©R oi gX gX "F CT oe 5r

r 5c X §q ! F tcgf bi Cp gp "` Cs5` trX T pv GV "IxB CT tP gsc gfX bi gX gp YH "` 5` " X "F v

df 5r 0X 8V 8B h vei §pb ©R h C`XCh "rµrgX %¨ tv "` gp "T¡ b hq gF Ch´c hi gX t` "`oV yp ívpF

! t UR%v r q tH

f Pph X trtr trCh5p 7p gX0R rq` hh ¡ t oV h F 5r X§ "fChC¼ "FXgs 5rtTbi pyXxp ¸q§

¡ § ¢ 2¨ 1© ! 0) ( ¤ 3© ¦¨ § ¡ ¥¤ ¢ ¸¡ § ¦¤ ¥¤ ¸ § ¸¢ ¸ ¥¤ 0" ! ¢ ¸¢ § © ¸¢ ( ( § ¢ ¡
¢¸ ¦¥ ¤¸ ¢¡


bB eV¶ oR 5q "v©X 5T oi ©X U5 gXtr (p "` Uv "F ©R "T ob ©p F bi #j p B

Ui X yv pq xHU 5F R b gpqCp 5 G`( # |u { Cr gX{F "T Uv

eV (R 5v "u Cp 5 C` ¨gX r CT 5q gs F UoR gXWv WH gX

X 5r gX qgX oi C` CF Cp"r gXCT "TUq

tv hH gp "I GVCT Uq 7X ©R r "` ©R gT tT©R p8` ! " H UBp

GV "ptH H §h "f t`8B 1¹ &

gs CI §TUi 5q{r X ¸¢

ei ©R yF C "F gX f"r H 5pt gq tR GVgTSR gX gT q 0X ©R"T hF tT"F Ui H CI5r UiUi"I X gX5 gX oi CF

©R F h tr CI ©R"F &¡

T "c !h Ua gp tT gTp ©p

X P CTH tr h

0 g GV hq1R 5` Cv CX "T ©R f p ©p 5r bPP "u5e tr"` CR ¼ f &r t` {qCX Cv CXgX ©R 5T C tF t` "Tgh "F CI Ue (`gF gu"i "FX h q "F gr "F gp 5rCr "F oe yX 5r gXCv 5 "T gf bi gq p H 5½h 5` gX gp "` F ` ! X gh 5` X t` "u CI h "Tq 5 gp gX tH v 1R

gX 7p(¼ P 5TgF r 0p

0X yV gF 0XF (aV uCr gs Uq gX ` gh gX pP X gf #p gp yp "`

H Cc gX "F V h

"r CT GqUi oe ta o 5v

P ©R o tH bi ! ©X i

gh 5F ©RF gu T gpeP 5`5q X©R F DA

gX gX¿ 5a 5q

|R "` T 5q v ` b gB gg

(H ! tr p 7p or "r GVC` tv "T tHgp UT %h tH SR h h C` gX ´v gp tH "f Yh tF C`gX ChgX CB gh fh tv"r "I gp "`"r tv 7F ¿

u Uc ©R ` GVP gp "I "F"F gT CvtT P 5r©p gh {X t` p "f q "F

! l 0X CX C gX0R qT UT P V "`(R vH
Cr X r GV 5 d©RCI 0X yq5` Uf ©R ©R T 5` c X X "F 5 ` ghgp 5F"F gX UT r gp "F Uv

8B (` gu bP gp 5e gX "` H 0 © ¢ ¤ 1 oV F § o¼ gf i 5r ©R 5` C X "c YF GV |I r 5p oR tv h "u UH dR (c ! ©R íT 7r 5r ©R ` 5a gX "` &H 7p gr 5` yX q Qq "I UT R gh "F UH ©R xT p " Uv UR r U "¼©X "F bi ph"e "v xF T gpxu "F q UT 0R (¼ 5q "ugX "T"` 5TgF gX bi gp"F oe"` gf5` Xbi gp(v "`1E 5`|F X 5r ¾v 1R 7r (¼ 5r "u ©R "T ` U` 5a 1R gX 7r "` orWH tu |F ´h r 4q "I "T f hUT orR ghgf "FP XUH q©R "c T 5F gXgX CT"` gs ¯H ei ©R t ©p"F oite gpxF tH Cq ph gX |F"` ¯Hgr 5F oV X F tq h § f (¼ h "u &r "` U¼ CF SR dr tPgs 5c ei X u h tc gp "F ` tv 5h gp 1R "F yr tT p ©R H

O_POS,O_TIME,TELESCOP

CCF = sum sum [SYNT(x,m)*SPEC(x,m)] m x

SYNT(lam), lam(x,m)

Vr = EBRV + V(max CCF) CCF/SLIT, CCF/SYNT Compute barycentrics: Cross-correlate: Fit CCF: Make mask: EBRV,BJD SYNT(x,m)


g Cr gX C` "r tv gp tH wh gr "F tv h gp " CF tr p "r "T tF h r |I r 5p tR "a CF gq P §h X ´h "F "F oe gf bi gp "` 5` X xv o 5 7X "r 0f "` H § 1R r 0p V h o 5v ©X i GF gB gg CB gh 7F ¿
Vr = EBRV + V(max CCF) Fit CCF:

©X tP Uc ©R 5` U GVgF ©X bi CI i ©p (r P p "u o "f "F "F "e t` 5` p gX{h Xb "F h 5a "F Ch CX "TgX gF"`

"T X CF wa gq PP h 0X 7X Cq trr gh gp UT "F ©R 5H fgX h "` "r WH gF g¼ iv i 5©R gX 5q` gTgX gu

"V P gX 4H C` tr "I Ch 5` gX CX Ptv h Xgp q " "c bP dR gp c 5et "cgX PC` §X"r tv t gp ©p

5 ©R5 XT Uv CsUR CF "` tr hH p "r ªq "T WF 5F gX ©R "` §T pH tH "` oi h H xF gf CqUf "i1RgX

"r1r CF ! 5q 5q X X 5r "a tF "¼ ph "F UTF 0R"a 5qCF X 7X 5a r X 5c r X tq P "` or xH f Cs "` "rCs ©H trgF Ch!

CF gq P h oV "F tv gXgq X "`gaP &h gFP gXbi gp gpH "F "` tv p 5` h gp (X 5q gpX Ttr h 7pgT Uir XYq {q |u P gX gXX Tq"T Uc"c t ©R 5Fgp §`gX 5T "`(X f gvHh

UT v h ©R 5q U`gX gX dR CT t` c "r ©p tT oiCF ©p 5H CrgX t`X ©p r 5oi xX 5H ©X §l ! "T 5p gF ©R "i ( ´P gu bi 5v 4h X tr gX"p §T0f t` p 7X 0r Wr "! (

O_POS,O_TIME,TELESCOP

CCF = SYNT(lam,V) * SPEC(lam)

tr ei yB¸P tr

©X íP 5v X 0RCh p gX "q "I§T CF CT "qd tr p "I {h gT UiGV gp "f Cr "F "F X UT UT r 0R 0R 5q

7Xv tr rp 5ch X X r qGV x "I gu 8B 5T X "Ih q p"T qgp"T "c "TgF xF gF"i "i%P©R hP bB ¶ o F a gu 5q gX gX "` "` gF "F bi "T gp 5F "` 5`

SYNT(lam0)

Compute barycentrics:

Cross-correlate: V-shift SYNT: CCF/ALL EBRV,BJD SYNT(lamV, V)

CB p gp oP C CF gX Cq g` xq P ! gX X ´H Uv ©R gX T " "F tT ©p bP p q "c 5F bRp "a CI CF (r gq "u P "T h CF Xgq ePgf |R "i P¿ gF 5r bi pX ©p PX gp (X ` v or X u Ur dR § #c ! 8B

gT gT 5a Cv7X

CT P gs X abi p u "r gsgF UiP gX P "`8X H ! gT 5q Ui ©X X ei XP yh tv ©R h yT 5q gX ©R t` C` ©p gs{r Ui FX r ©R gp C` µT"r "I H eB 5` r X 5r F X tv eV gp (R

X q "c 5F gX "` q ©R (X ` tv "T ta ¯h gF p "i"r gf WP"T "i oi"r tv 5H gp ©X tH ´P Wh ¯¨ tv gp "f tH "F }h tT ©p "F §T gv (P f h0f "r5` gXtF Ch

PWH xF t ©p p bi ©p ¨§ PgX F 5q 7Xgp CF r (r gq f "FCc CF" "F tr "F oeCh tT gXgf p CTbi gpgs gX "`ei |T H P gX CTGV d q 0X "I V TF gh Uc 5F ©R8

7X "` r qU` bR ©R5` orX5T Xv `gX y "` lqH a uF

H


g 5T URS¶

c tv p bP"F "T g gp5R ei "F p "T hF f" gX 8l Cd C` T}i 1R p "F X UR X 5q"F hr5

¡

"r dR "` or ¶ gu ©RCsF "Igr tT{H 5i 5R g 5p "I CcP gX B gh ¦ 1R "Fgr yXgF ©R Uf CX tv Ufo UT "F tr ©R Uv b ¯F ¹CI p %P o (roV tP yF YH F gptP ! o oV §8 "u q öf13 r Q gT ©R "i "v 5T h "rCq ©pCX o ¢ ©p I"` R

r "Hp o fTtr " tr ©R(v ©p 5v ©X gF u"F o¶ 5` F Cu tT 8¤5 tT gX "FGV tv

Ur"F F 7p (a ¨§ 7X p gTu 5`"T "Tgu bP bi Uv gh UR bP Ui gT X yX 5a 95 7X ©pa "TCq tr ©p&¹ bi "I 5h CT 1R

c tv h ¶ }¨ F eP |R Cr tT gX©p gs0X VUi §q§i Rgp %` gh "F r Ch X §h "c 5c F gX qr ¤& F$ ¸ig` tr pPp gX bP C` gp "r r U` SR (R

©Ru ¿ § Uqp "F tH oR5` UH (p }q & ©X h g¶ F 5 5r(R Uctv 5H oP Cv UT5q

CFbP gp"r 5e5T P¢ bP WP 5qgp ©X "` ¥ or "T WqxF X ¸W ¥1 íP &¡ hc"r öf o Uc u ! Wq ! 5 hH yX 5gX tv "f gu ©R(¼ ¥ X (XgX C` ga p P

"u(` "Tgu gf "i tr Ui ©h ©X DA"` F DBYH oB h5 ©R ©Rgp YH gf ST ¸¢"i ! c "T ¡ 5F|F q (¼h ru 2 $ Ui X X "F 5h "T ti 5q 5RX tr 5r h X

gX(X ¢C` "r oihH u t "u gq5a ©R X ¥U 4 h gfi "F a "i 5` Cc C 15 ©8 Uq"T gF©R tu "r gh tv 5q gX gX 5H

tTgp

YH p oB "ftv R gp "T tr tr CFh tT gpte B3 p ©R P gX f{¨ X7 Ui gp 7 "`"i gp P pCh tHgX tT ! Ch p

5R p r tH ´h oR gv q UT 0R 8¤ "r"ugX 5TH CT (X & tH g¼ h "H1R Cc CF gs7r ír Ui eVtr X h (R 5a 5h "`15 tH &H$ gh B h "I "c "`` CuUH UrdR h oVp hX ©R CI

7 X yB tq h gI tP©R tc T p q©R P f 5` gX (H CB p eB 5q " gX&¹ "F "` tv |¢ Fh tcgp p " "c "r CF F "T tr v tF Y gh tT p CI "r tr "T gh F fgf h "i tr YP "p gfF 5i p oq 5r Cv©R q ` 5a 1R gX 7r"` H5r ©R gX "F tH F gh ta íF p Ur " ©R "F tv gX ©R 5h CT W`1R gs r Fei 1R GV gr CI k CF oBtq X§F trr gp Choh pT gX ! "` t`p H7p "I gr 5v CT %F gF Ui Cs 5 (r #R f CcSE %q gB c©R t` gX gp H |H gFr p oi r F "F "I tv "T h UT gp SR " P CF tr f gp h 1B hT q ©R X tT (r gp "u gT oT Ui |f gX T §T 5"qgX gp

C` "r "f µr p¨ tFp GV Qh "r "I ei 0R |IUv UR of ` "f 5a "T tr gFh p "r ©p 5H bi YX 5hgs "` ei 1R UH gX X §T "v tr5 gX gp 5` &r X ¼p CrH 1¹ gX CI H

"F gp tT tH R tF"B §h5q 7X "TCI UrtT "q "It` 7rr ` 5r f q t eV gp §gp "ftT 7p rtr Ch GV "F©R "T µT ¨ CT "q7X CF u"T&r Cc t` 5R gsp ¢ Wq Gu 5q p

h § "f ©R ©R Cr ` ©X 5a drX "rgs "r tT "Tgpgu ©R h bB`or ¶ 5a gf 5voR CT X"v q 5h CF q UT%r oSR CIs¨ 8¤tq ChX tr gXgh "r"r tvT yp tr Ui gp gX t tH &¡ 7X r u "r

bi gX 0RtH Ui }F pT gX A tF tr 5q C` "r 5F gu h eP ¿ dR xè F 5h Ch

C` q p tT C` Uq©p "r dR u!gX tc gp H #p gu ©R Ui "`P X §H5q f C h &r ghr 5 "F agX 5c gu"TX bi (¢ p 1 "`pF q UH oV q gh ©R Ftc ` gp ©p "F©X 5` Gi X

0 r ©p ©p P tv c gp ¿"F "c UT ¨B gX wH ©R "FgX "` (¼ ! u t` gX p |R( gf § "f "F "c gT Yc CF gft` tr gp yi 5I ga oi ei CF

H (` Cu f "` gX ¨ ! 7r gT 5r SE p p ¸h` ! 9 2 gp "q gX 5r 0R X 5q bi F "F Yq |u ¯¿ |F7X pgX gs C` &h gfF ¯X X ¯PGV "T oR yi 5`gF 5q "` F h gugf (H "F § Ui df Cr gI oi tF tq gp(3 guR 02 SR (H Ui gX % tr UT µv 4¨SR Ur 0R tv WT ©p GV|F ! 5r "I gfxF !oi oi Ch R gF X gh bi
T
ef f

oi "rxF v Cq phh5q trCX "f "p E! '& C` "r f htv H r p"f Ur "F &jgh t` S p "rCc Uv gs tv ©R Uigp U` öi a h "i fP gf "F¤ F p UT QFSR "I q tP 5c "f gX CF 7X õ p gr tr h ´q R Uv oR p v
g

"F gp oi öf tr u oT X gs §HgX tH "e
T

F5 tP ©p H&¹

gu gX P "` gX "Fgp"f tTG`gT p Ui &r 8 ©(U¼ 0R dR tH c h q tT ©p"F5 tHgX R htH %V gh "F "F "I UT õ 0R oB tP 5c X H "T p tT ©p gp tr tT h p p CF"I ©z tr"T p tT "F "F ! &r CI %qo¼

µH F t CB gpH " X gF5a gh Crr "i "T gX©R ´¢ ( CX o 7p h (' gf UT GV 5i0R

0p

(r CTgs"i

r gX7X tv R

gX C¼ CT gs gs bi ei ©p 0R P Cu " "I "F tT "Tgp gF"` YiF GVo gF "I íi CT gs gT bi Ui o" t`P pgX gq H P oV gX o 5R "F tr hU` 7pR y r

oB "r Uv R gX "T 7X t ¸r phu trh gXCh gXCT CI ©p X P wq 7X ´r"T gF oR H5F CX CX X5q X Uv gp F "F UR tT "r ©p tT bi 7p gh

©R§B

gB Wg xF DA gB "g tT "u Cp "T C ` X ¡ Ch tq X h X "qbi p tF Urgh §R tT p § "r ©R "T Cv P gf 5q oiX ©R 5rxF 5` X CXCq ga 5gX P ©R Cr"F 7X"T gFr CI P &q 5q %X gX Cp C`gFgX

CB gh 1F ¿ ©R Cs "r r ( 5I ! f "I gT "I Ui xFC` {T q gp X gX "F ta CT ptT Ur p 0R5 "` gX H }H 1R Uf or ©R |u CT rgs "r oi"T tvxF5 gp X Cq tH §r gX hh "`&r eV H U¼ (R

"I UT dR Uc oR X g wq Ui ©X"I 0P"T ! gF gXtv ©pCT eP5r RCX X Cs h bi 5`p 0XUr VR § s r p C` "I tr h"T v5T gX 0R Cv tq 5q 7p ©X (r Ui uX UcUa

5v gX H gX "T " CF Ur 1R r "i P 5r pX (F ! "B X UB bB or S¶ r gX "T5I ©" !xF "T gq "F "F "` te Fgp tH p 0h " Cp gX CT gs bi p "r CF Cq tr fgF h i tr "p gp gf F 5i § oq Yf(¼ 5u R "F CF oe tr gfCh gXbi gp 5` "`(X 5`tv hX v "f p"F ©RdR ycg` P hq gX GVYH "I t "Tp UTtr ChR ghgX "F5`

!! gh oV bV gp "ItT ©p

V h "F F ta p Ur ©R C` tr X|F F ta5r ! p ©R t` § 7p f 5rgh (RCF vUq XdR |F5aµc ¨ t %F ©p §P F Cs d¶ Urh 0R5h SRq oi CI gv "r P "F gp C` tH 7r h ! %u "F 5q tv gX 5h 5`1R X r "r Uvp gT bi P gh 0X "F GV I CI q oB gf UR "i "r yP XUH dRtv ph§c gfGV "i CI hP tq gp t p gu tr piCh
v sini

P (d, )

g

"`&v DA pU Ch §

5 "q

"F

tc F u gp Ua q "e rH U` "T gf %Pp ev CI "` P tF T "` ei

"f

ef f

Cr |I gX ` CvCI Uc tr"q ©R 5i !9Uq 15UR ! "T UT u Cc CI 5a 5T X gX r "I Uv CX i CF 5 "r Cs©R ¦F Ui"i gXyP gF ¯r gX H hUi 5hgX 5q gX "` "IUq UR"T tr UT

©R "r ` X Ui 5a X "r5 gXga P |F"` tH Cr gh gf yi% }P 5q 5q X bi " p "F "T(R "F "v "i Gph §P Wvd¶ x EY W h "Fgp gp5H "`

©R 5 UHCI 5a gX Yq gFei 5 ©R "HgXgX 7p tv X ©R (¼ "` "r 5r X "vgX gh C` &h "r oegh |T tH oV Cc gX p 5rbi Wh "T UT gT gF"f gp "ItT " "F 5h |u&u UT F 5h ¤

X gX v "` CT "Tgs "F"T "`t` F 5r H tc (R p F r(r 5 Cu C¼ gXGVgõ C` bB "I "rS¶ gFgs F Ui i SR5T p ©X P ¨§Ui ! "T "Ftu "F h tT b§b 2 R 0 h 5` X Wv ´X"F tT (`gp

H r "I CI 1R"i Cr yPgXgr |I h 7r CF "T tr tF Cs SH CF tr !tr Ch tv "F Crgp "F X oVtH gh "F (X"I §vtT gp ©XGV gF öi "I 5abi gp SR 5` oiX SRdw b oi ( "F "` gu & bP g¼ gp

CT 5r UrCX 5` gp yX 5T taCT Uqp h "F ©R t` `"F gX5q gX "T gfT bi Ur¯h 4R gTF bP tr h C` 5r "e gX P hH 0X vp tv qh v ' Yo X oi 5e H tv gX xh gp

U`©R ©R qX t` Uc gp 5a§ gX p Cv "r 5q tT "r Cp tv gpè ¨ "` 5` "F CX p gu 7X Ch r X V "gF gh "FUi Crgp C"F Pc ¹ #' 5a gX! "F UT "` pH5è

"H ©RQ` UH µTd }¨ A "` "u H Uv gX ©R "` C gp Xr tH tv 5`5 h (X©Rgp bP ©p Ch §h gX F 5"T 5R gX X tv "Th p CT ygs ¨B Cs0R © tr 5q

¯R gFUr p UR ©píP CF 5 Ur gX |F Rgf grV "i 0h 1RCB v 5q gX5 íT" CF Xxh gp r 0&H © i"F " tT F 5q "I©R "T5` A i § ©R S2C` X Cc gs 5h¸¢ ©R ¤

fer h gs &r di u (¼ Ui rCX gp 5 1R CT grgs 5`ei yX1R 5` P gX T "I or p (u % "u 74 9@ A8 76 (T "u tv gh tr 7X p "I "r"r gT f"T Ui GTB ¢ ¶ ¢ 5qA pCF ©ptr Chei gXSR gp gX ¢( C` gu ¤ tr Ui 7p "cUT RxF CI fq Cqeõ "rw ©z tv&¢o gp ©' Y tH Ui Uf 1gX ©R tH Cq CT gh


"TPX `v gX P gX H CB H¼ C T
E D

YV WV & I %$ cV 0 I )2 ! cV 0 I P 2

f "` CX p 5 ¿ ©R grT CF gFq gp Ui |F CF "i r "r T4 2 F 8l ¯h H pxX gp l UTh Cs 5h0R 1 5r H ©R grp C` "rFtr §hxc 1y c XY0) tr 5q F ©h gX bP ¡

( §R§` t`"r 5 gp5HUR X yr f hh "F 5T §B "FX j "fgf "F"i SRtT 7p oi r r 5q gX5I gfUr 1R "i r &hU` ©R 5 § gX 5a W gX ¨ Yp F tT gp &h t` h

h CI F5q X "c"I "T"H gF"F xi"e "T h "F 5q "` r 5p SR GP g¼ Ui 5 ©R ©R pT (` (CI H tqQu ©p bi"I p"I UT CTdR § gsoc eifgp C©R T QX C` X"r "r q UT 1R oV grF tF § h 5v U¼ gX §R "` t "H gX 8p "f 5` 5n "F (X C tT tv YX ©p ph bi Ur gh"F ©R "F"F "T "e gF tv CI 0P gp Wq 5`

yX H 5q p ©R "I ` "T5a gXtT p C` "r d "fCu "r"F 5TtT ©pX v5i Uq X 5R 5a tr gX ©h "Itv gpC` "rtH ´h tv gp tH Yh "I CT CF gp UHr h` R4 "c "u gF F 5` bi CX h gr © p ¨"F P gTgX "` CX "F5` X (XF Yv tav p ´F 5Ur X©R " tvC` "F h tr tT

©X ti c è CT tv Ur gp ©R tH U` Yh ©R gf"H "i gs bP r gpoi © "`CF bB UqH S¶ ©R "gf "` "F"i P5q §H gX}X fC` h eV"r &r SR tv gpPU¼ gp h ©p " CpGP "F & g¼C` "rUi 5tT ©Rgp

UH RP µH ¨TP 0XtHbR haV eT


0 g SB ©8 $ S( '& §8 10 $ 8 " 8 "# 7 f# # 5 7X 7r 5r ©R ` 5a gX "` H f h "r 5F gX C` tr h UR "I r gT ¡ Ui t X 5h wq©R ` "I "T5q gFX Ur"i 5R P dr gs5 gXei u"T tc UT gp SR %` §P "c F F p Cv f tr h p r h ¡ t` 5 Cp gX "T¨ UT SR U¼ eP ©R dR "` c wv ©R T ìv "F gI "F tP"e tc "v p (T q xu c pq (R tv5 gh X gFr P gs "f oi "F xF tT gpCq gX|T ` r p (l 5r bB gX ¶ }H ©R C` "r "r tT tv gp gp "F tH "eh xF X yq5a X q tv 5 h X gp ív " CF ¥ tr p "r "T©p tFP ha

!

!

! U
o

h 5 gF5r tc q

Uf oR tv h gp F " "I |H 5r SR i "I gX "T CT "FUr ©R"` FU` 5rUT dR ©R Uc ` oR 5a v gX öf "I h |H "r 5r 5F SR gX {iC`

¶ tF C h C 5h SR {A oi v "` 5 gX "T 5 X §©R "H UHp R "I "T "¼ "`u H CI "r5 tTX gp r tr 5h gX "T Cr 5gX X "T Ur C` "T p

©p P "a %FUf 5R x tr 5q gX 5` tT "F gp"F "e t`tT xF 7p©p 5q gF gX Ui CI5` gX
3

! !Ch B gX "` ¨&H gX tf CTgp gs 8` gbi ©p gF bP ei gp (R "` v 5H "B"u¯X yq r "c q F 5 X P Wv gX hHF g5r íH CX gF 5 ei ©R (R "I` pv "T p ©RUT Ur RC`
2

» hB õ o gXC` bi "rCT p gstv "r gp oi tF tH 5FCh 1R gX Cr4H gX Cu"T UR Cp dr gs p ei h u gh "r "Ftv gpH tH {h X V u gs"

t` yp q Ch X 5r yX Yq URgX CT |u tr 5r hCr X X ts5R"r 5h or F SR f eitCc UiCX 5 gX ©R H ` "F Cu "v r 5T gp p`r ¡ %qh gp Uf YT ©R ""T "FUT xB " ei "F©R "T ` tagF p i "r "Tt ©p

yq GV "f hR 0gX X ga oB P SR"T tPgF íF oi xF

UT R YF "f eigs CT oR bi gs §v©p bi dP p SR 5r Ur öP {X §R eVUT "T dR©R "F Uc 5` "` (R X F5v "r gX P´T h gX h gsHu oibR 98¸a xF f$ ¶

"F 5a "H H o Cq )( '&gX "F

tT GP g¼ Ui gv h C` pgu q 5q P gX"FgX "`"F"F "` "F h "T©p gFhP wi F49 gu 68 & eP |R C ¿A( p tr p "u

©R ©p tr ! tv" a !5 "` C H

5 "e yR "v j Ht` gp gX §H {qF9 gf "F oi uD8 %$ "` |F gr

F "a "F "T xv "c hF gs gXxu qWH "u p |u´T Cq Cr tr gf gX h oi gp"T xF T oR¡ Cq Ue 1RCq gX gr "` tF íHh 5v XgX 5a "` X "H 5q ©X© ©2 P $ X ! Ur oR ©R 4v "e gF r Ui gI 5 5` gX T 5 7X 5R "r7r UT 5r UR
C

(X gf
P7

A`

CFp ! ¨§ fX©R CuH

©R5R h"F "IX

©R 5h gsT

o X 5Tta (Xp Csv tr X gp 5a C` gX r CT U "I 0X "TV CgF X "i gp P T 5 ©R gX (RgX gvCT gs(P Ui0f X5` 5qgX ©X µH ¯¨ íP ! o DB (B "T gF "i P 1¡ 5v X ( tr b X 7p 5a orX utv Uch gp©R "g` CFP gXtr " 5q Ui ©X X ti q (c ¯u 5 gX Cr "T©X gF bi o gr tT "F p Uv t R p #E q Cc§B ²q "f ¨B öf © h U¼ r UR¢ 5r U¼ ¤ CX 0R 5 "q ©R1 F ¸ S` t b 5 gp gX 5e gT gX P "` 0X }H 5V q F wh o "T F gF "i4 íP eV ©R5T X"T Uc 5v e ©R ©R (` C` gu Yq bP gp F 5e ©RgX "`(` e &r ©R t¼ g` 7p (P gr f F |F ¶ grb p F

©RCr gX U` "T ©R gF "H Ui UH gX R H C¼ Uv gs oR bi v ©p P "I 7X gT Wr Ui X t q p "r UT tv SR gp eP tH dR ph yc X gf 5a "i X ¸P tv h©R gp (` " Cu CF "r tr 5T p X "r &v "T p GV h gp "I "T gf "T "T "i UT gF ²P R "i gh {P¶ "F Ph dh UH ©X b ©R tP µT EUc ¨ W ©R 5` i 7r X i Ya5rw ©R o© ` ¨ F 5a p yH "r © "T |F tF¢ 5rh ¨¤ SR oP "F UT1 Cv 1R trq Cr p "fX}h Wv"F 5UT p gX0R gT"q|I P§F r 0X p U gh"i "FhP & h ph "F "u Cv Cv "r tr ` p ¡ h bB tq x¶ h ¼¢ ¢ "u t` C "T©p C t`(P5 7p fo o Cr%¥ gpr gT "I bP "` gp tv t` gp yh t` gptr gp YH t` (RCp |Cv tr ¶ 5h5 ©R5q X( gvu (P "F© Cv "q F|I r t p h tr gh "I tF (` h gu bP x gp 8¹ 5e 1¹ gX &"` ´H H öfªh h CI r 5r CX(¼ 5 "u ©R "` ` gF Ui 5 gX X "H Uv t` UR p r "r "T CI ´F Ur UH7X ©R Cr gF gX 4P }H "F "` |I hH r 5p p 0R "s "q (` "F u C` Ur¡ 1R "f r Uf f ©R 0h "ToV UTF UR § 5r CX U¼ 5 0R ©R q ` "I Uc "`©R tv W` gp |ut` gp Cr H a "r §gu 5T eP (¼ X |R Cu hv ¿Cq trX h5a oq trgX ! p CT t` Cq Ur 7p 5r ©R grCX U` X"F ©R Gh "` "H xhUH UH ©R R ©R oT C` !

" "I t "T p gF tr "i Ch hPgX "` 5r &H {X e t tR p a tF 5a h gX "fCT "FUr ©RtT gpU` ©R"` F"H UH ( R Qu (a gX gu "` eP }H |R ¿oV ¯ CF r gf { "i ¾PSR P xY Y Y y ¸ Y Y 0P b Cc gs Ui gX tH gh F ! 9$ 90 SRgh öiF ta ²h 5q ©X tc Cpti (c u "f "FbV p oe h gXC "F CCT "e0Uq "vYg©R (T` gT xu Ui ¼ qX "u Yq gv t bP©p"T gp oigF f Ui 5` ©X gXx 5P H p q ¨ tr hA 5q tv X p©X Cv "rhP tr 5T 5h ´ (X dr F gs ¨§ei 7Xu tc Cr #p gX #¿ H B "F ¢ ¢ "` C ´H UT C` 0R "r 5q tv X gp Uc tH ©R 4h 5` C "F X Cv gp tr "` oV5h ©R "F ` v (c ts hu p p{q ©p gXUi CXCT "Tr 5 "F xX "` ¨lF ôB % f Cc CF gs tr biCh gp 7X "r Uv tv (R gp µv tH ¨ h X ¼ 5a Cu gX tr "T5h ©RUT 0R

"I gT tP c ¡ q c "c gF ei ©R t` H"F ©p tT p Pgp "`" (R F( Cv gu 5q ( §igX u 5`! X g gX 5a gF CT gX gXd gB H²g CB t` gh 7p 7F gr }¿ "F ` ©R §l fT §B 5c i ²X t x ©p 8B oi |F xF 5r Cq ©R gX UT "` ©R YH tF "ICq "TgX ""` "FH "T "F gF "v bP 5Tp X ©Rga ©p öP oa ! § f gh CF Uq dR ôc ! 5 gX "T "f gu "I"F eP (`tT|R p gu ¿ xbP U gp ©R R 5e 5` gX5q C ©R X `"c 5a F gX CB"` QH DA oB "I iv C` w "rW X tv dh 5a gp b gX tH"y gT ´h i P ¹ 0X gp ´ V "F gh rtv YF hgp q '& Ui gXA$ gf x"H "i 8t` P p"( "r©$ 5q "TgX FE8 "T o U "T F SR U oi ` "i §Pp ©p ©R Ui 5T CX X Uc ©R©R UHT ©R UT gF 0R pP 5rxF X Cq gX gr "` F WH § gp "FU¼ 5RtT trgp 5h tT v ( q§u ©Rf 0h C` oV "r F tv gp § tH hU¼ 0R X q oB C` "r tvCr gp X tHUa h§R § "I ·h "T tT %H©R ( X u 5a gX "F C` Cv tr "r h ` 5I ¡ tq ¾h Cr íqbi p Ur tr0R 5p 5q 5R ©X 5r bP CX ©p 5 bi ©R Ch w`gX gr tF Cs 0y Ur CF tR Uqta gpdR Yc 5` |F gp 5rtT gp5R "r"` 5qdR fcgX "` "I F tcC` p "r "r tv "Tgp tFtH hhyh p5
1/2

"F "` F gu Ui gX H Wh ©R UT ©R tF h h u "FC` "F"r Uetv gp©R tHt` hhgp tT gf p yia Cõ "I ©B (` ©8 gu $ bP S( gp '& 5e 7 gX 0! "` dCI 5r ©p CX bi 5 ©p ©R tP h` Uc ©R gf §` "i P yq X Cp "r gX g "T ! UT CsR ghUr dR"F Uc gp "F gp " tT "F pCF tT tr gp ¨§ p tTC "r 7p CX "T Xr tF h "c h 4F h Uv gX f (R hT v tr t p Uvgp 5u #R tH h gpE tu C` 9$ 90 7 p& "( 4$ 49 d( x! " 8 |I 7r 5r ©R SR tH oi h tH h 5q X "u "r Cv tT gs gp Ui "F X "e tv xFCh xX yq l q 5 (X ¥© v ¸¢ 5q gXgf "`"i gFP ¢Ui ¢ gX DA oB "H p t` p (R "r gv "T (P YF 0f 5`C` gX"r xHtv gp Ua tH ©R 7p U` r ©R "c YT WF gX Cp "TgX tCT gp Uq "TSR gFoi 8iíH ! öf Cr h X tr h p p "u §q 5a gX"I "`CT gstv gp bi pt` gp H gf 5q "i X ¸P gv (P©R 0f ` 5` gu gX bP pHgp 5e (¼ gp "u "` "T F t` 7p ( uCr gX CT Uq "I ©R "T ` gF bP ©R p T 5 "F gX Cv gT tr ©X CI P 5r X CX tr 5 7p ©R ír í` f gf h yi tr "p #õ "f bB gTo¶ Ui©8 gXf$ H)( '& CI |F¯H oV"r F"f "F § "e U¼ "v 0R (T q xu "I fq "` 5v |F gX r H "I! "T¢ ¢ UT C tvyH yp p yq ( q u " X "F Sr "T ! gF Cs Yi tr Ch "f gX "F "T tT tT gp p "` o X |I Cv r "r 5p ` 0R ¡ q tq hCI Ur öf R h 5 tr ©R 5p 5`R C U YX ©R Uv` (R CI Wv xq

L = â v sin i/c

X CF§

9( 49 28 ©$ §7 !# 95 98 7 9 65 $

G() = C

P () = C exp

1

1 - (/L ) -2 2 ()2

C1 = 2

(1 - ) L (1 - /3)
2

+C

() = a + b + c2 + d

2

1 - (/L )

C2 =

2L (1 - /3)

(T W §T "F §7 xF Cr

a Ta H

bi ©p P 7X r gTvgX bP"` gp pH t` hX u UH XUR {R h fr h 5 u |I gX bR r ©R trUi ` ghgX 5a 5TH gX xX "` h ¨m H qrP H cT q T

§F tr
"#

gT hq 5R X

§
P `q

bR a "r ( 8 8 H gp "F 5H (R ¨X (v ! u 0¶ gX gB gp 7r 5q T !©X ¶ öf ti h5q c "u` 5a Cv gX 5r "` CX §R µ¨ Y¨ §¦ C "` Yh CF "r5 gX|F gX hh "` &H gp "F P "F p 0X Cv¯h GV "q 5CIF gX 8 7 §7 !9 10 q (R Cv "r dR C Uc (R (v ©X u dfF ( 5r ugX "` (¶Uv 5R98 or f$ !S(

p& 9 9 ¥0 H "# 7 f# #

( GF gu oR bi gv hh (P ©R0f 5`(` gXCu " p 7gF gu f# ei bP# ©R ©p T i "I 7X gT gr Ui gFX ©XCT "qti (c CF ´u"r |F C gr C "F C "`C r {u U¼ C §R C " A t` p pUq gp dR 57H ©R ! ¶` ©R CI C` q "r trtv 5pgp 0RtH h C P ¥¤ C 0X C GV¸¢ pd I ¡ ©X éUi yB X "I5v XT tTgr F gp Cr ©R X T Uc §c ©R Cp5` gXC X t r hh 5 ! gf X "i Cv P Ur ©R t p` m CT pq gs ei gX 1R CT grUr ©RCF "r5` C5H XX ©2 &( &0 # "I (` gu Ui ` X ¡ 5v tq X h Q¨ 5 gX gT "T Ui "FX 5a fh gX CT "F gs Cv bi "r p `Ur ¡ §R tq h X H Uv ©R ¼ gT u ¸P C g gs 8B Ui |F CX r

§


gp ©R

7p Rgp

%v

gh

¥1

"e tr"I "e hv Ch gX gX Hq 5q
RF

©R SR 5c
p&

gX ©R hV UT SR ti©X

gF

5i ²f c SR

Cu

"rCF qp v ©p

bo CB o e¶ b íh yB UU

"F tT gp ©R T c ©p P ôa ! "F 5v gX C` tr §h "c F öf h r U¼ |uUR tr Cr (h X tv r p 5 "r gX 5T H X !v 5q Q gX 2 C` d$ "r ! tv gp "F tH "F h 5` X 5q "r ©X tv oi gp U "` R gF q §P pWq Cv (R 5v g F 5 X 1F |F r "I "T 5 X r gX CB "T Uh 5 X gr Ur v 5R tr k oBCh ©X P p gf5 XT"i tq pP 5R gp "r ©R( tv guUT 8p SRíi 5n bi C ©p"F X P"F ·hgp "e "F tv "¼gptT p tF"` h 5` d h X ©X gp v Ui teo gX gp "F xH "` U` pHRr ¡ì dR SR c 8P "¼ ¶"f"F SR"FtT ©p CF íP"r 5` oV gX F |H gr§ µF (¼ ¨ gu bP ©p CI bi "q h t` xp "f "F§l tT©B gp !¤ ©R §¨ T 43 c ¥¢ ! " ¸¢ "F R1 tT F8B "c "F gF "F Ui tT X gp |q "` gr F tF ("h Wu! H "FUB r"` H F 49(¼ !5"u 68"T p& UT ©30R ¨5q ©$X Cc93 gsB5 Ui A@ gX eUh SR bR eP (a dRgr gu Yc v eP R5q C gX ¿C C` d ¨ "r tvUh{F gp tHC gr h §v A GV C ! "Ihd C CT §q gs A bi ©R ! ©p (` C P Cu 7X "r !{r 5T C X "Fd v Cv ! ©p bi "f p "F oe§ gf X bi "r gp § "` !5` XX Uv¯v ©R UfgT 1R P §X"r !0f "`gX HtT gp r gp g¼ oi ! tv pgh F GVtP c ¢CI ¡ 4¨ tq q gp c 5q X bVxu h p 5h %ih SR hq gsoi gfbiív p "i "r GV7P "F "I t` CT 7p5 gs y r ei c 8©R YèC` R "r h X tv5h "r gp SR 8 tH oi }h! Yv gr oV 5 "F "F 5 gIgX tP"T tc 5 p X q Ur hc UR tr F Ch ©XgF Pbi ©p Cs P r 7X 5Ir W 5q X©R h §T 5h SRg oiUi ©Xv QP r gp 5r "F R gXX tr"` 5h yH R ©R C` &B "r tv gp 1 tH (h © X ¸5a F 7X {Fr 5p SR GP g¼´¢ Ui ¦5 F ©R hT|F 5r gF (R bi R 5q ©R ` 5a gX C` "r tv gp tH ªh Cr ©X P X Ur (R ½v r gI Ui gX oB

0R öf q gh ©p 5q Ui ©X gp Cs tT r oi"e Utv ©p %F bi tH gh }F9 5 trX p5a fh ( (u (X |T tvxp Cr5h "h "T 5h gF ©p"v 5T P YH oR h gv

t Ur Ui dR "f o` 5I "I tr 5` Ui Ph xX}F© " t 3¤ ©¢ CI "F § C` 68 2 ©R CF 4r Uc C UH ¨j 5r gX1R©R µT5 P "F tP ¸`P gf rgX UT 5h 7X qv "r (¼

p "r "F § X Ua CF "`r q "c5`0 "F§U ¢ ! "f & 93 CT "H Cr Ur CF X©R gp bB x¶{T UH ¯` r ©R oiUc ©Rgv rUi (X "IP f |H5`

§h UT ©Rp Ch¯c §T gX íqg xmP( v | 8B &p 0@ 4q gf tT p 3 5 U` ©R ©R "f 5` "H "F Cs 7k Ur &5R 4¨ gX"i gTP oV gX ph QH 5 ©Rh C` © 5rgX HSR i X

1R(V ! gr (X r tv r ©X ¡ oR"F CvtT "i 62 }P G0 ©R tT "Hgp fX R CX 5 X ©R gT "H hh "TR "Ih tv¢ gp ¤ "ta p "FCs

Ur (X ©p5q g¼ ¤ u 4c gr r "I "F CF©R H d CT dR tH X tv UR

C k yX Cu !5 5 Cq 68X h CI ©XGP Ui 51 # tr p rhq©R T ©RCs "I "T "T pr ´` 5cSR tr gX oi 5p gs oc ei Cf h 1 "Ttr gp gF C`

q Cr tr & tq h gp"! (r Cr ©R gX "T "T X Ui Ua 5 dR Cc @ gs tTtr Ch7p öf gX h UT "` R F gh tr ©p dP 5R(R 5rtv CX5h gv P gf gX ©R tq C` oh "r ! 5a eV X ©R 4i 4r t Cr

gX "T tu 28h !$ 5r gF gu P i ©R tc gpT © Ui3 gX"¤ tH §F5` X p"Fr 5H 1R 5u r "i 5%H P©R tv CF gp tr h"e gF gp ©p 7X oi Cr

5T gX íX! 5` CX CF (u5T (X &¸ V gh # F¤ rtv h U¼ gfo¼ X gf yi pFtP h` e 5h { gX tH Ch Wh gX "Ui 5 CF xF gX Cq "T

©R oq¼ ( 5 "õ 7X §B ¡ q CT©R oi gs UT 5`gX ´q X H tr r p gX gF "` Ui

gF pr pq 5h UR "F Ph p gT tv 02 tH %X CT §H SRp Bh P h gp v "F gF F Xtr h "r q "f V %r ` "F5a X Cp X "q 7X gpxF WF (r 5qdf tP§ 5h 5`h X 5h oi ©R "r tq tv gp "fUT ©R"F tF "I h "T

eP ©R C` ©RgF Ui 5 |F T 5r tR gp p "r ©R gF T§¤ 8ä gX C` "r9 gu tq ! Uip gX gXCh r "f 5p "F 0R tT Uq c 5q X biSR p wAbi "r ©p tv 5R h 5q 5r gX X5 C` "T tr tF op h H gX H UT ©R p

5 gX 5R gX5` X§H "FUv ©R "` © r &¸ #3 }h S3 gXgX "H C`t` 5c©R X C` SR oi CqX ta tr ´ 5q gp ( tH gu tTo` gp h UTu bR0R

5r ´te 5p H "Fgp " § CT t`gX tPtv u ©RX gv F Uvgp "F trp Uh Ch h" ¡ (ä U h"I 5r gp Ch gT"r P oieP "r tv g h u$ S( "T "Fgr

gs gX ei "` ©R F %q ¸P0R "q "f t` h CB "u "`¸ íF tF ¸¢ h § "F 2 tT p %r qtv gp ! tH |F gp t "F p tT tr oVCr gX "F C` 5iT h 5h5q gf SR©X "i i "T oV "F " "F 5v CF "`X h F ©8 a 5q gX "`"I |F

gp F tH h R X U tT r ©p t te ©p gp 2 5` C "Igs "eei 5` ti X (c gp 7p tH r h df gX 5r }H P©R gX "` ¢¡ " 5 CFpX CI 9 Ur " "`tF (hF 5v

±40

CX

tCI

49

5`

"F

tr X

UrCT

C

h gX ou ' # h ¯r5h UT
27

5R XWF fUi ©R Ur bi "F ©X CI Ui "` GH ! F # 5q gF©R 5"r "ctv gTgX 0X ! & WH "r"F RtF UR tc

5r CI "c ` gh §H XgX "c UiC` whu F gfgr &è©V 7H !k tr p"f er7 gs¥0 gX gu "`

ga ©RCI xq"T "c oB F (3 tv gp |F 5R grxr gX Cr "i"F %Ptv |k » |u q Cr "TUT diH u"# Ui "H xX UH

X ¨õ gF (r 0P "u 5` pP h gu CF eP C q C C CI gX 0! 5` X"I tH xh gp F p § "I gf P5` X CX 5 p (Rgp tv" 5h CF t bp p tr 7X F gr d¶ gF p h t Cp "F gp # h` q# 1l¨R "! GF e d tR

CB 74 CXt` Cp xX tr ©R Ch ` "T5r XUT 9"r "H gT F P ©R P WT§ 0X 1R tr p Chgp gp tT gX Cv oP "c tr CF CF ©R r (` gB a g gu

9@ A8 76 T4 2 5T X YA q "FX tv h gX H ` tv h 0X § I "u ` h gX r ¡H 0RtF hq 5` "` v ` xXv lF pF bP gp"iUR erP

"F xa m tr 5`V gh gX "F0R "3 5q"` GV (¼ f"V P "r Uf"T X©R q ©R U h gf gu CB eP gh |R

7F ¿ ¿


oA k

gXgX 5r ©R ¨r
p&

&P %qh Uf

gp

4#

H

27

h

CrgX |H SR{v 5cvSR h "u gp gr ¨ 5 tT Cs ph 5p|F p GP 5R tT Ui CX X©p T gpgs% P gf hP ©p "pc "f gh "T "`"u f$ '&§R© gXx 8B H 5h H Uv }r

Qh "I r P 5p 0RU Uq(R X 5a 7X r UT SR u %P oR(R tvWv h UH ©c tr 5p ©R ! 98 o3

5r CBSR tP ts 5r h UH"i 5F #' S( 2

i ¥ ©p X g¼ Ui tP"r ²P tr # 9

! |vp X "r 7p 5 ©Rr gf bi H "F tvp ´ A$ ©# C

"T "F ta ! "F "Fti " 1R Sy "C §

oB tv X hh 8r |u ! "ur gp C` pT"r r "bi (r ©p"F "u P"T "T 7X ! "v r t` SR hH gF CI eP i q©RY T X X tr 5q¨R Ch ©X C¶ #R §E ©R xB"e gF ( Ui öf 2"# 027 # # o Cr '
Xm

´P rgI SR (R"r "Tv5 Ui gX tv "u tv vX 5q (R q
27 #

pCu "I © &q gF5i "f oP

pq f h "r "F UT ©R o` V X 5a o gugF UioP gX "T 8HF ! f h"¼ or "F f tT Ch p gX 5 CT |F r gp r "F "I tT "T p SF 5 ! gX Cs CT tr 5r h CXp X Xh UU gX0X VYH gh bV5F p gX h "` q H X UR q 5r CX 5 U x X %$ %h 5 & X 495a 7gX ¨"T ©5 5T ©#gX §HtF 4Cgh 2Ht` eo ©RtT pUT R § "u öf hUH trdR op©c "f! gT 98 Uif$ gX S( gFF bi ©R p "T § oT f¡ Xp tr tCh p gX fH § (¼ |I "c öf hF r "F o¼ "F gf "T bi gF gh i "F r ¡ CI Tq 1R Cr ©R gX hT "T gF tr Ui(h gX tv pH r ©R 5` CX X 5a gX "T gX 5T HgX tF gh t` trgp "p tH gfgh e ©R oR 5` Wv X "r gp "H "e "F gF "` Ui tv 5 h UR ©p r P 4q oxB "H )( 8 "F (¹"` ©tv wh1 & F ¨§ 7X Cr gI gX
X X

CT5`X X5r ¨R 5rCX X!X hpv f h |f|u or gr"fCr r! ©R "I C` "T "r 5T tv gX gp tF tH gh gp ` "F tT "u p Cv gsd ©XUi (XUi gXtv 27 f# # 1R 7r 5r tH gh gF WP X 5a gX CI9 x Wq f$ "FA$ 0F ta# p 4# Ur 7r 5r ©R ` 5a gX "` H ©pCq trei hSR tr yP p (pCq 5rgv CXP gT pP 0X "I V gT gh oP µF %¨ CF q Uq P P 5R gX trX H ©h 5a ©pbPgX gp biCT Ch"` Ur xXyH©R "f"F "FtT gp tT p ©R 5 T gX ´c CT íH UT 1R"F "`Cr (XwH fv f h gf

gX"FUT ©R"T! o`5T Cr gXV ©X tF P t` gp tH gh gF ChWh gX X H5a (X ! tv eV ©R CT H `Ur 5a ©R¡ gX p5` "` C o ªH ©R f# C` # tr h"c § F X h "F tF 5q gh gX t` "e p f h 5` §q gX 4H tr 5p 5l$ B '& 9 F 5` X C ½X5 gX 5`Cr 0X 5r"c CX fF X h f h X tr "i "p íP "f gT 98 Ui f$ gX
M

X (R r gp gh gp "F gF 1R híP r UT "F oR "T Uq QX pgX wc 1¹ |I &¡ (R p t Cr©R 5T P5Fv q 9$ H 4# gX p ´H UR 5a"r "T X CI tF
X

S( x A$ 0 # 27 ¨#

Ur T t` gp " "F "v Crr &r pq ©X "`X ©# V "T gF gXgF P Hp& 9CI

tH ¯vtv gh 5h "I "T CICF tr p UrgF "T idR gF ¸¢r 5p Xp 5a § U CIoR "C 2H gX H Ui " gX Uv 5T q gX 4q f$ "F

r X ghQq F ta

gX r "FgT (P X "T 7r 5` (R (P f t` gX tH XgF p §H C "F |R

|uUi p tF ©X {H 1R "u p gv # "r¶ gp5 p 4# Ur

H |I ©X gXp röf 5phU q dR Ui "F pq 1R 0f gvr ! ¡ gh5` ©R f# C`

b ©B U

"õ X tv gX tv ¨X CX " Gc tr gp "F C bP&¸ öP (A fF 8p |H

U h b A e 5q

gXh Ch "` gX CF "` "r v UH SR reP R |I 98 f$ )( & 4 © A$ 65 5 !g¼ oif h v r ¡q t` Cp Cp gX Y "T bBX 4aS¶ "F r "F "I"e "TF 5c 5 gX CX ©p gX GP gf C` "ig¼"r pPtvUi gp5 ©RtH h WT }h X 5 "I dR gX c"T gT gF gX P bP 0X"T gp GVtT t` 7p pCI }hr¯q gp öf|F h 5r tr UR 5p Ur bR ©R Ua "TSR gFbi |h0P 5`

trr 5pp 0R d q 7X tI Cr gh "# 7 f# X# p SR tT gpP XUT a ©R (` "f V tHg h F v 5 X "I h R Uf V ©R gX "T H "F % ©R gX C`5a 5q(X gXtv h gT gp ¸P " Cu q Ur SRp P |I r (¼ ! CX ©¢ X 62 v G0 51 Wh #

"F "r gX "H %H "F X tT´h "T §T gF CI ! CF CT tr gs "pg "f"B p "u tr tv
¤

5H }X p Cv 5r CX 5 ©R 5` "F 5q "` gX tv 5`h X ¸q "r ©R"H tT"F gp "` & tv gp F ©R Uc T ©R hc ` p "Cq Ftr h § bP Ur "fgp SR gTt` YP p P yh öf ht` 5h 7pr ©R Cr U¼ ²gX ©R T (t p bi "r p "T "r tF "F h gT FUi gX X 5H 5a X 7X UTgX gh ©R "T UT (` tT ©R Vp gF XCq ¸ih tr h ì¼! tr CF p tr(¼ Cq Ch gph 7p5` XeB r &r"r q "H U¼! "F SR F "` eP tv©R h CH ©p 5q 1

hC Xg¼ ©p oi P Yv Uv dR"c ¶ c Fo FF "F a ""Fgu FUe eP ta 1R|R gp gu (RGP %v gI bP q gp "` tq 5pH ©R q ( gu Cp ¥gp C` tr h "Iq 5T o C F gX (a g` gu WP eP ôõ "B CI gX 5q "T (X tT gv p PCq ftr h5` trgX p 5r r CX 5p X 0R h q ! CI Ur G¡ R 5 1¸ ©R F 5` "u gX tv 5` h Xgp tv" Qh "F C` 5 "r X tT tq gp gp "e ( ´P X %h ( q "F "v( ¢ 5T ¥ í ©X Ui gX F (X YH %v ( p

5q Uf gF gX ©R i "T 5` "T X5 gF5r©X "iX P vP U ! xFoR WvU1 X H gf Cv yi5r ¦ gX 5rgX ©RH ` X 5a 5a gX ©X "` P ´H U öf oR h v tr 5p gf (R "i tv 0fSR h GP 5`tr 5pgXgp bR §H"F Ua tT SR"u p t`Ui 7p5gX gX gHCr CTgXbP 5rgp T CX ` gXX l¸hyH P5r X vX 5a gX|f CT gr Ur ²F ©R ! 5` 0¶ C F9 4X 5 68 5` p& tr h UR ô "r ¹ "H & "F "` tv ¸¢ h &¡ "c wF X q 5a oB 5R tr h gr¿ Ur ´ 5` ©R yX C` 7p tr gq Cr h "T gX oVYF "` tF µv SRCp½¨ CP XX 5q Cq (X gf q "v "i "F bigX h "T T oV ¡ CF "r r 5 gX "` gf xH yi ! ôõ r oB gp "F Uv (R¿ h µv ¨ GV "IH "T ( UT ¥ SR F P Yq §q ²F SR ¶ Cq X h5r SRCX g¼ Xoi oi §h U H !R Pq8 X © |fa ¢ gr Uv 5F 1 (R F ! µv w¨ ( guF i 0¤ @ "¼ ¸ "F F "e eVtv gp(R "v"` 5T5` ©XX vUi (X &¡ U` x¢ R {"( © Cs "r 1 gF (bi gh ! "F © &¸ CI q 5 "I gX "T "T UT tT SR 7p eP gr dR 5F 1c gX ! gT "F P "FYX "e F F 5c

5`& 8B (X gF" wv bi"F p "T CI hpP Cp "u gXUf UH ©R"T dR 5`5T c oB g ©R"( 4$FC` 9"r tv 7X© P gX H r 5p (R2 tv tv "T p 5 "r X 5T tr X gh xP "F Uf UT §R R gh ¨§ tT ©p P1 t 1 C 5a C©gX d "T &¸ F gF 1¤ (¼yv "uxq tv F9 h 5 gp | tr op ( gf ¢ Ui ©R gX C` tH "r h tv v gp

©Rv C` |u "r gp tv ggp PtH gX{h öf¥ h r ¡ p i! " 7"F "ToB 5 gX 5R ¤ "` wr © ²H 7 (X "r ' "H ! "F § "I "T gFUr 5r ©Rhi X "Tv oR gF! tF F gh t`"F gp gp gX tH xH h d "r©R "HgF CFP µrX &h "u ·$ UH dR 4v Cr X 5HF X pX ©R oV `Cp F gp y "` ¨B ¤ H © gu ¤ oi X F"r " Ck ! C ¸¢ 5R |¡ "r & tv WF( "8 & "F "! C` x "r {¤X q 5c oR gX Cv tH fh ©R "T & gF

gp tH h ¹ ¦ gp 5` X |up Cr" ©X U RP "U (RgF v Ui Yv gX gX H Cq tP tr gX5c gh XCT UTWh gs ©R bi |u C` ©p trr P Chgp 5r gX TX "` gX tr§H gHp §qgu! ©RgF wigT oP Cr CF X Yq tv gh ©R "F 5T tHpX h ©p eP P ©R#a h E# rp& ¡ 49 SR 7 tP ¨ 5c 5 X %#wh §H 4F"C H "f "v "F & gI oP UT 1R Cr X ´v í"` tv h # Cr02 X" Uc ©R ´$ 5` C § X o2 ©' r B or gf bi p (h "v "F H 0P"F gh 5`"` "F CX F tH X h & vG "c "I pF "e gF p gf Ui P"I 5 0X "T UR V tT r gh 5h5¶ # 1R '& hr C "! ©R ¥5 "e H gF Ui §C 5 ¥5 UR Hr ©p f oRtH 5a gh gv7X gF (P r GP 0f5p Cp5`0R gXgXq µH"T CI ¨ Ur R"f5I 5C"F ©RXtT 5`p q "c gT 5F UigX X "` q ´H "T©R gF` "igu fPbP gp 5e"F ©ë ©! z ©8 | $ S(v & 7 Q¨ 9$ §©# §Ho2 4C©' (a p "u Uv g` ©R P wH "c r F "I "T "I 5T C` gX "r "F tv oe gugX 5TbP gpC gX5e &¡gXg` "`P 1¢ gXH x hH Uf ¤ ©RCp p"TgX 5q UT"T ©X R T pgp Ur "` 1R H gr gr5` yXF %q § (¼q Cu e Cq tr dCs (r ©R "u %T oT |f Cr "I gX "T H T pu ¡ trbi ©pp guoP !¢ 5n C(¤ F §X q |f "@gr f Fh&¸ tr F "p F "f f UTheV ©RoR&r tTA$ ©0 gp 9 "e "F 2 U` R gX "T F 5I C "F X "F¨ 5q ©X! ©RUi X 5H Ua (X dR tv c h 0 ©p © bi pP( | ¯r & F "i P © {F 8 SR ¹ ei ©R ( ©R ©R ¯T 5` X |f
X

P CF q tHbi hh 0f `P 5r µF ¨XT éi ` p5V rqq
¥

"r "H "F "` tv h ©p CT bP|u gs ©p Crei i 0RgX gu"T oPtT gp |F ©R 5rC` 0R"r 5qtv ©Xgp !yT eV gp oR pT gv "r(P gF tT"F gf pgT "i P 5´P 0X gX V 5CTgh gX S "I "¦ "T # " §3 F 5a ~ ©X ©R CT Uq ©R p (F Cq ! tr h"F p tv 5h § 1R oi 5 U gX R gT q P 0X §q Uv h oR r 5v¡ !SR tP 5c C 5 X gX CT 5r ¹ CX gX Cv "`5q gXH 5` UR g r gF S2H 4# "¦ 27 # f# §3 # ~ gp gf tH biwh gp "`Cs 5`Ur ghbi¡ h "FbP pH Cr "q X "F tq ` gp oA h tr Ap Cq 5r Cr CX ©X !bP ©p 0f i U` 0R "q oT "v(` U¼ V5T 0R X©X q h Ui tI X gh" Wv "F"F "e gp F "e 5c gFgX UitH h5 t UR©p "r Ui tvgX 8p H 5n "c "r r "H gp "F ` "` tv h ©p
M

M

M

X h X hF

éUR r X v l0R q X hP Tf Hq vUR r FC X P

¦

i


C k "` gF "F r X UH C`A( p ph T"FSR gX ©R 4F q h bibP (R P CI gf Ur "T5R u tr tF
§

UT 0R8B 5q 5 gX ©X "` eP "`"` "FH ` gp ta T p "r #! Yu ! r CI 0¨ tr "`

CFCu "r"r t`gF p oi "q |H "T5I C F X "r&F U 5q & Ch gX 0$ "` ö xádH ! 03

"T 5r hF ´R "f 5 gX! 5q C` gX "r C` tv 7p 8v S CI 5rpP r

5q5 CF "r5p gX "` &r X "`

"F gX UT CT 0R gs gp"r tv tH gp h 7q f) ts Ch

5q bi gX p "` Ur "F ©R ` "e ta "F oVtH h "F Uf tv §R h gp § ©X oi "F 5` o3 X #' 5q

p C` "r 5r "T xX fF Yh " (¼ CF gf tr 5i p Uq "r 2 X # 1a p ö (á

gp%h t` #'gX v

"r eiph P"T Cv h c Cr 5`

gF P qF gp r "T Cr v H XUi Fq gp ©R a ©p5 P "T bi e§

o q tr & Ch o "F ` "X 5a oB X 1¹ & H CFgF gX 5 ©X Ui p o 1R tr ob H b tT § fr

r Btr 5`

(X§T ©Rt P h

gv

e gr (Xei gf öf "r b t

5lgX "T gB tr7X p r X 5a"F ¸¢ fhH h 5v 5q gX gXgX "T}H 5 íq 5 7X "T ²r CF gTtr Ch Ui gX gX oq "I UT gh 0R UaT GV5` gh " ©R bi q Ua gX "T
%$

CF Cr"F "`X oV tv "F gp F ¨§ "F R 5T h ©pgp oP"T ts Ch Uf tr 5R 5p gh UT íF gp 5` "F yX }h 7p fo tvh p gF"f Gi"F Uh 0R gq o5 gs5` {h ©R"f C`"F r 5h p 1R C`U (X "r tv "" bPP gp0X

´q rH CF tv tH h h gp 5h 7X !SR Cr oi q"i xP ©R i ( f Cr5h gT ©R (X p Yq hh tr "p "r 5T UT 5I 0Ro¼ 5q gf GvbP gp v©R 5T tT h gptv r gp §r "u {h Cr Vtv t` gp ghCh H

vgX q gu t` Ui Qv X 7pgX "ft p (X X 5i"f íA"` "igX o¼ tH©R tv ©p oX gXµF ¨ tH

½f "F tr Cr ©RX P "e ycbi r p "B §R gp x wT

p& 49 7 ¨ 5 4# 27

§H gf "i P "I gp P "F 0X UT V 0Rgh 5q5F gXgX # tT p! gX $ |T ~ or 5a"F dR v oe !"c gf 98gF bi f$ Ui gp S(W "r &¡ x¢gpgT tHP"( wh0X © gh X|F F "r or {F u X tr X tT h hFtH "r p FtF tr gp gX gX ´P {H gf "i wq |F gT 0¨|T 0$ X ö5a 03"T gs 5R tr Ch p " ` gpgX CT"` gs ´H SR½F CBX 5h Uh 1R 4r gr U`"` gq C` bP "r gp tT H e ©R P W¨ öf h (X |F U¼ 5qgX p t`"cpP qoi gX ©R ©X H eV p § bi "IbP "` "F yv%¨ "F "r "e gp (T ! hF X p tr 1R Ch X "F c tv "T"I oV fgp "` &{r ei t5a 5v 0R "F gF}h gXg` q SR gp 5v t "F F ©p 5F ©p C`"F 5h ta p V W Cq fh {P Ch xá gX X ei "` gp r 8B5q 5H "` gp "e tT "v r gX Ur ©R

5`

"f "F tT ©p 5i Uq 5R tr ©h bP gp XX r Ur UR"F dr t` gs p ei5r ugX tc H gp ©X´` oi "TSR tFGP h g¼ Ui 5 S$©R %T ©3 r S gp "¦ H r |I r 5p (R tv h "u &¡CT gs ei ©R C` ©p "r oi tv CF gp tr tH yh §h q (¼ tr p"f ¯h UT ©R 1 o` V X "( 4h © ! ©R H "F "F oe gf Ui gX "H bB t` d¶ p X"F Ur"F UR (e tr gf Ch Ui ©X gX P "H (Rt` pCv "rtr p"T gFCh "p "igX "f P gT Ui "u gX Cv H tr p CI h q ©R! p5` X Cq tv tr h gh UT 5 ©R gX C` "T tr UT Ch H X CI tv q h 0R Cq $ tr h #p ! d gu bP gp 5e gX "` H p "I CT H ( ¤ © 1R 7r 5r 5q p gX " "` t` gF p bi 5q gp X "` h 5` XX tav p ²& h gX gpCT gs"F biUT p 0R "r 5q "FgX "I 5H 5` gX X "` 5r xH (X ! v |F 5T 5r X R Uc h ©R p UH oT tT !gp CI"a q CF©R gq T cP Yh " GV " "F "I"F tT 5Ttv ©p C GV & |I 8B r "F 5p tvbR 5h"a 1R CF gq%r P hgF oB¥ p ©R ©p g` ei ePSR tT pr Cq "I tr "T h UT tr SRp CqeP dR5r ¸cCX X h h f h tr "p "f gT Ui gX ) H ) CI qF
X

$ & 7 9$ "# 27 # #

& 8 7 %$ g! &2 4# 27 f# # 5` F X xvgT Ui q X Wq5v X "T 5h gF1R "i yr hP 5a 5r (X ©R tv 5` h X gp "r " "H CF "F tr "`p "rtv h "T ©p tF h§F gp ©R T(R µv 5qw¨ gX C`5q "rgX tvC` gp "r tHtv "F xr gv ! eP ¶ SR 5q öi gX a C` "r "I tv C` gp "r tH tv }h gp tT egp d t` gp H"F "F oe gf Ui gX "H 5r Ui ©R X C`{q "r "T tv gpgF tH"i h fP |F Cr rX 7 UT SR 8v eP S dR 7 íc {) gf 4 "i {P o35q h §q ! UR tr (h ¨B tv © p "r¸¢ 5T ¤ X &P |I ©p 7r P 0X 5r V©R ` pq 5a gX ts gh"` gFpH ei v Yh"f "F k gXoB UT CT SR gs tP(p bi 5c Cv p X tr Ur h p ©R h " gf ©R5T "i ¥ dR Uc ©R &` 0R gq §P öf h 0R q gI eP SR oi tv h 0¶ X 5a "r (P gf 0f bi 5` p gX h hH"v "F GV H "I guCT gsP bi xPC` "r gp ©Rtv "F gp hT UT tH 0R GV{h 5q CI gX "f (r "` "F "u |F tT "T gp7r CF (r gq &H UT ©R xq ` ©Ra C` ©R "r T tv gp oV tH F hh § " e xu q Yq "F 5 tFgX gh "T t` 5T gp gX tH "F gh oe gF gf 5 (X X tv tv h h gp eV " SR CF bi tr ©p p bP "r gp "T "` tF H C` tr h ô 1¹ 7r 5r ¢ ©R &¡ ` 5a gX

Cr X "r "H "F "` tv h ©R UT 0R 5q X "c gF X"F Cv gp tr "F p "Yh gF 5 i gX 5r "TX UT SR oBeP tRdR "ac CF ©R gq C` P wh GV |F X "Ir5a "TgX "I UT"T "T 0R " UT 5q gF R gX Uigh "` 5 "F gF5R UH 4rUi dR gX c X"H p 5a t` gX p § gT"r ¼ GV tH h |I r GV 5p |ISR GPr p g¼ gu Ui bP 5 ©p ©R bi T h gh "F ´F Cv tr 5q p 7X ptH h "r gp"T "FF o tv "Th C`gpU "rSR" tvoiCF gp trtH tHph h "r "T C¼ r tF s phh Ur ¨§ "udR 7X CI ¡ "r t F h gp t t`h gp {HX h öf h "F tr "F "p oe "f gf gT bi Ui gp gX "` H 2C` "r # tv 0 gp tH 4h C Sy oV § "F 2 tv 0h gp " CF ( tr ' p o "r 1 |F 5r 0R Cq tr ©h bP gp t` ´h |F r "I CT g |F CF 5rr ©RW "e "r "F tT "T 7p gF Cr bP 7X p {r |F " r F |I § r df p ªP 0R "q "F C` Ur 1R r h gp t` gp ²H C xF 1R or |u ©R gr T tF h |I Uv 7r1R 5r r ©R Cs ` tr5a Ch gX gX "` 5` {H "r 5v gF X P X SF q ! "c 5F gX CB Cs "`(p tr WHgvCh gX(P 1¹ 5`0f X5` tvgX hh íH ¸¢ ©R &¡Cr ©p gX 7p dP gT pr 5r Ui X gX5q XH & 5v 5r X X 5r gX gFrH oi "I "F xF "T "F "Cq oe gXgF gf "`i Ui 5r "H gX P T h c hF Cr "FX tvr 5h 1R "F Qr ` "Ixl "e ôB gF eV Ui oR 5 "v 5R 5 U¼"Ftu {hSR tT gpeP öf ©R h ©R 5H "r TgX gF hc gH P ! "X tq"F ©p"c tT bi5F©p p gX bP h p"` "v q´H "F "c %H 5F"F gXtv "cbi gp YF"` 5` gf X P v 0Xb h V Chgh gX F "` v gp eV "F ©R tT "e gp "F §FGV "I 5 "T X UT tq SR ©p eP bi dR p yc § &q gf "a "i CF xP gq C¶P hE# p& "` %H q F ¨§ # 7X 2 Cr " gX & %H ·$ "F "` ´H # "F o3 tv ' 5h
X

&r v Cq ` tT H §R "F gX gf "F {h T "F p § 1¶

#' "T "u aX XT gX !´X ¸r X CF 5h ©R "` ""T
49

oi5R drxF gs Cq ei gX u "`tc #pH o¿ X 8B 5a "FgX "F"T UT5T 0RgX 5q "F gX "e "` hCh X h GV UfCI ©Rr "u"T "ToT CFdf Xgq tr P Chh gX "F H 5v öfgX h C` tr tr #Uv (R ev !"! ©öf h Sz tr # "p 3 "f |gT Uiv gX# H 3 CI©3 ¸q § 5qö2 GB & ¸ A( )& & H © tvR CFgpgp tr tH}` Ch h gX ©R X 5` ` 5a X gu CX tv bP h gp g¼ 5e5 i gXX tq"` gf gp H "i ( QP guUf ©Ri "I 0XCu Cq 5V tr íq h tr tR p "a Cq CF 5r gq CX P X h h Wh CI Ur " UR "F er tT gs p di (rF pu r §W gp ©R "F p tT "p dR "FUc d ©R´T ©X ` ei gX ©R %"T YT tT %q p "F Cq gXtv tr h "T h gXgs 1R Ui H X! tv 4h Ch xX 5q olgX xBC` "r ( tv (gp tH fh 1¡ GV |I (XCI Wqwv ©R 5 C` 7X "r "r tv 0f gp "` tH H h 8B X T 5aeB Xr tv h gf gp "i " !tF 4h } 5` CX # 5 ©R "! T © CsSz "r # "F 3 | gu gv Ui #gX "r "` U` gFSR oioP "FUT UR|H tr Cr %h (X {v f h |F&r r (¼ "f"I gT"T UitT pgX a tr 5h C ©R C T öA yR d §j C B 74 YA A@ 98 q 76 54 "I 2 UT URUR 5r tv X h5 "r gX 1 (¼"T ! "uUT Cs 0R"T "r 5q T CF gX¡ tr "`bi 7p ©p "F 5r bPC` dR gp "r c "` tT 5Hgp tr X ôe p !gu gX "T Cs UT r SR ©p 5I §P oi ´ CF Wq trtr yhp t ©p §q bi 7X p"f ¯r "F § oe "f gugf "F bibi UT ghgp 0R "H "f t` "Fp "rUT 0R"T 5q%F gX 5"` gX gF "T bi gpt gp "` "T 5` gFX iv ©p "c%r F oV GVCF r "I W "T UTªq UR "r H "F ( t (h1 ! ¤ tr 1R 5h r ©R Y 5 X 5 tv gX h 5T gp C " gX CF g` tr ¯P p "r Cr "T X tF r h ¡ T H 0c !"c F"F tv f 5h h 1R tr phr "u 5 "` X |F tq 7r©p bior p tu ¸h § "FgF tvbP hp 5q q gX t` ©p |Ioi 5Hr ©X"p gfP bi ©R gh pT "F f h CI 1R02 7 r ¨ 5 "f ö 4# Cá"F 27 UT f# SR # tP "( 5c # ! X "! h FS ©p ©z # bi& Ch 7#3 gX f# 7pH g#


= 0 + 0 · v /c X

- BSP EC



tr Uc5TgF `v T` `T "F"` bi C¼ Cr gu 5` Hv ` H qa

"F eP ` ©R ta C` p xr "r ¸h5p UR ©R"r T"F ©R CágX C` © "r tv gI oP UT 1R gTF UT P R X"I "a gTõ "F uU tc ©R p 5` ¿C pt` " 7p § xF gr tu 5q"F íh r( p guW ©p bP ei ¯P CF tr "f p "F "r tT ìH 03 oC¼ 'gs H CI §q (hCq trtv ghp "r"T bP CX ©p 5 i ©R ` p CT Cv gs tr bi p p hh "r Y5` xX |F m r bi 5q s Ch gX xX ¨§ "` 7X lgF eV "I (Rgf "T "vyi 5F 5 õo X (p ( gf gv u yi (P gh 0fõ ! tr "q 5p ! tR "aCF trCF Ch ¸( ! "F "v Cv gX "T #3 tT S3p

©p"T C`CI W3 tH àh X "` "cX ` "` ©X fµH ¨h |u bi hr p tF h W! gp ¢ UR trbP ph ©RX ©R"F gp"I gX r i gX"F gq gX P h CqW "F tr àhT


Cd k C` "r tv gp tH %h "I "T UT 0R 5q gX "` |F gr 5` gX 4T r 5p SR bi ©p ¯P r p Ur dR oc !

f$ A( 4# 8 " A$ b 1 "! ¸ 3 & "! ¸ 3 &

¨ ¦ §¦ ) "3 §¦ 3 "! 15 $ p ( gu ! GV "I 5` X 5r X v "c F
2
§ §

F "7 f$ S( & ¢ "I C` "r tv gp tH h gp ! "f §8 "F 95 tT ©p '& bi &2 gh 64 "F 5 2 CI xF q gf "i }P tT gp ©R T Uc SR ©R oi gT U bP R gp "`¸q H 0R gq F P " f "Fh &r"T gF (¼ i u Uc oR ©R tv 5` gh C "F X tH h"F "F "r 5` §F X "r tv t` gp ©p "` P
¥W ¥1 ¸U 54 3

&2 64 5 98 f$ S( & 8 ©( 0! 4C 2H 4# 27 f# x# 98 1F W !7 $ S( '& 2 14 !5 2 §8 95 '& &2 64 5 2 $ '& 8 ©( "! # x %$ f ¸ 95 98 7 9 65 A$ © 9 f$ 8 !7 $ S( '& 2 14 25 # §8 95 '& &2 64 D5 ¨# $ '& 8 ©( "! # x %$ f ¸ 95 98 7 9 65 A$ © 9 f$ 8

"F tv h gp oB gFX h P gpt gpT

" p "r 1R (u "u 5 "I ©R 5`

7( ! ¢ 43 §X 3 § "! 15 $ H 7( ! ¢ 43 §X 3 § "! 15 $ H

"T r "p "T X v &` X UR "c er
3
¡

gf bi I d¶ y ¨ X "F gsF di gp H
§

8 15 ) '& 2 14 25 §# ¥ 8 15 ) & &2 14 5 E! '& !8 ( ! " 7 9 15 2 © ©2 $ "! ¸ 95 98 7 9 65 A$ © 9 f$ 8 "! ¸ 3 &

7( ! ¢

§ "! 15

U Cs X "r Ch e 5q §R gX b (` ©p gu bi

¡ § p W¨ p "v 5 ©X ©q ! F "f gp ©R T "F "c ©R tT5H Cq ttr ph "I tH T gu "` bP 5H tP 5c gr

"F ¨X tT ! 7p "F r C` "r tv r gp bP h gp 5e8q gX !

U bBU 5 b

X · C`

|f C©X gr X öi gp¨F5a t 0¶ gp F9 "F 5 5 5 trgs (X 5h Ui "v ©R (X UH%q 5R 5` r Xh hp Ch gX¯u "f "F §B tT gf 5 98 C¼ 5q f$ gsgX )( bit`&

´T "u (` gX! H 5 gX " "etT 68 gp &tv gp5e "! X"` x ( tv Wuh gp v yT 5rUr UR Xtr gpr "` "Fv ( gu gp oi ©RxF T Cq ©pgp 9 ye oi !9 5H ôh5

gB ` "Fgu gu "TbP bP gp gF gp 5e i 5e gX 5` A$ f X 0h v !9tr "p 5 gf oR©R gv T (P 5 0f ô "` !"H 5qt` pgX "r Cr dPgX ²u UH 5R r 8B ªc gX "` & %H 5 ©X !#! P 9 gX¨ CT $ gs A( A$ bi

)& H ¢F 0 # "# 7 f# #

"` Ur %H SR bi Cu ©p r P §h8 1B gX "F "` "F (¼ ´H t` |u p 5 r yh gX 5p pCT0R gqgsq Pbi 5i tv oq h §fgp " 1R "F or C` |u "r r 5` "T "q gX YF "F §H "` 5 X v X a tqe "Iph4d "T tr " "r tv gp tH {h "F Cv rF ta p"I Ur CT ©R gs C` bi trp ©X dPT A`Cu i"r cgF F oi |Hp "v5r &p "r "F © gT Ui gX |F 5Hp 5r X"r oR

DBgT "F ! ©8 f$ )( '& 28 ©$ §7 4# 27 # # t` 7p gr gXoP X UT gq"` 1R PpH CrU gr "T tT I h gp5I bB "FtcF gp ` oB CI S&q CrF F ©Rp 5p tT ©R gp "` 5F gu 5r Uq 5 gf X CX v(X & b Uv h g¼©R Ch ¢ ¡ "ríh g¼ c "F V %¥ gu p fF tr gh f tF gT r Ui gXU¼ 0RH eP "u C` ©p(B 1 dP 5r & ´X Uc oV ©R F §T gpgp C`"e tr "F h gX " "T t` gF p CXop gf 5 5i ©R "F GV & "I R 5 gX oõ5T ©XGB Ui & "H "v "F 5T "`©X xr gp oT § t¼ 7p "I U` v gX R § "Tx R p Ui }q gX Hr gp 5` 5R C tr }X Ch ©X oi"T UT Uv R dR gh CT gs bi p X ¯v F fq tv Ui h X §v Cr gX{h "F oe gf bi gF UT R! gh tP "Fc UTC X©R ¨ Y` "F gh tT "F "Igp te UT t Ch gXbP gp "T "` 5T H gX f5H }X h tr "r §F ©X ¸F öf h ¶ r 5R r o¼ CT "uUq SR"e gFöi 5Hgp SX"` 5`! ¡ q c 55q X gX Ur "T h tF 5rhg h¯X "Ftr (h oe tv "p Cu gf gq 5i P "fUi gXUT ©R H ¡ t h &a Ui 5 q 5R gf(X v oi xF gI Cq UR GVdr gs "I ei "T u 5 ¶tT ©p oB bi gh u tRr ha "I tr"T bip "r gp 5T "` X 5` §v oq f "c ¯F ¡5 h F SA 5r o` X V X |I h r öfYr h trq op öf"f h

"F "` WH XX Wv5a gX (R "T "u gX "e CT gF gs Ui ei ! h k oB Uf g ©R © Ui PgX gX H H ! gXgT ¸P"` Yv ô &i {q x$ h &rei 0R (¼ "q gf t` q ´hCI tIq 5gh |ugX "F

nor mC C F = f (S H I F T )

T

ef f

g

Ue yF "Th "` Cr H X

Ui CX C "F tT gX "T GVt` gp |I ¡ bi ©p Uc "F ©R "F 5`

X p%X bPr p gp UT C SR X gX
2

fc r tT SB § tr hp q X©p bi X "FWh Uv hh "p "f tuCF h tr Ch 0¶gh F F9 §q UR #r p !

Cs X

YV ST QP " cI !

5 7X 7r 5r ©R ` 5a "h §8 f 95 CI pq'& &2 R 64 h 5h©5 gX 5Tp T X Uc t 7X ©R gp ¸rUH tH ©R hp gF hu 5hP 5 68 & &2 64 5 t` "I "r "T 5F UTX 0Rtr Ch5q XX ¯hCc gs "F

gX "` SR ! oi t` gfSR "ioi 7p gr gr Ui CvgX 5r


H Yv7p gr ¯Pgv P "F F "` tH CXgh 5

|I X "F 5a "`gX grgX FxH UH§ ©R U¼ §F ©R ! 5`

QX )% )WV & ' 80 )2 %! ! hT )2 YV I "6 8"$ )9 0 ) 8R f

r 5p CTUH ©R §q µT 0R }¨ gIC P%X

"T "` gs "r GV gp 8B g F gX X(X q U¼ gp tvgX tH

1R gr eiT ©R ¥ (R CF§R 5v tr ©R"I C`"` 0X oR"V "v

"F C` Ch t "r 5v P gXCF

"F tv "I 5` ` 5 gp GH "r´H Uv

¨H ! Ur 1R gr tH"T UTYh SR X WP 5a gXoi tv h 5 X tq f h©p tr öP "p 5a gf! 5i tP ´h! Cr X gX 5a 5T X X tv Uc 4F oP ½F ©R ` gI #l P gBX 5qtr

5` yX pq "TU Rt` 7p q gp ( gu oqc ¡ f q yc h ©R gp UH " ©R UT 1R Cr 7pgX C`½r "r

q r e 8¤´ hi Cr X 5q 5a CF gF tr Pp tv "I Xgp UT ´v

q §¦§¦ 4949 CF tr GVCX (r 5 §¦ 49 oi X&¹ X"u gX h"v "r ìF tH R ¯h gh CF

U fqF W u b Uc |¢ gr r V 5p tT u |T5h X "F 5R "T r "T qgF Ui ©R ©p p 5` tP Ur R 5a 7X SR gphr oi5e tF h "I tr Ch gX "F "F 5H Cv §X

tF 4h 5rGq CF X "rp v 5TUr 43 §X ¶ r p U p gF"c íF P 0X §vX q oV (¼ UH "IgT Ui X"e 5r CT CX©p gs 5 bi bi

©R C ©R X gp UT§ ©R (¼ 5gp "T UR CUc 0R íX©R 5q

5` gp S¶ ¨§ ¶b xPdr ei tP "Tuc tc¡tT tP 5c Cr ²X WH t gu "F GP oe gIgf

gh "F 5a X tr gh u CI tc "qgp t`` $H C 1 X yqgp ` ´Tgu Ui gX gf H yi `5r "u X "`gf r CF"i § hrgF "i gp P "F ©X bP ©p bi ` 5 gX r "Tp

lT õF gs xB gX UTgX SR ªH 5T Ch§ gX gX

¨ ¨ Cpgp Xq CB A (¼ gu P "`"` H5` X v c` a p § bPbi gpgp
BA E D

g CT © ©R (V 5q CI 5q
$

tf tv dR 5 (¼ !! B 65q tv

7p h "ugr UH"F ©R5 XC` gq"r %Ptv "TUR d oB tTr p© "I 5` 5q Xr ©pUr 5R bi $gX C` "r (3 p "r "T WF "Tbi gh 5` "FX Ur Cr UH XdR rc 5

! c X "r C` gp 5` tH CXph "u©X ¨ gTbi ohP X 5r (X drp gsUr 0Rei u 0' gp § tH 24h ´v 5 ©R CI 5` ²q CX ! 5 gX CI H Ur UR GF

tr !7p gX 5r 5q P gX gX C` %H !0X "f GV fFCT ov ! ©8 tcX "Fgp Cc Cv`gs o gX & "T UT er SRCpgs X hidi tr u

5r

gs U` bi ©R ©p H "r öftv hgp tr tH gIgX§q tP(` %q tc Yu p Ui S( gX & WH D8 ¥¦ ¥¦ &' ' CX S 5 # ©R 0R 5q gX "` gX CT gs "F bi Cv Ch tc gXp "` x¿ H

dP 5r p ´h 5uUv qf GV h Yc ©$ 7 UT R § ¤ S3 5` § C 5r5F CX5 1B p gp x¹ "r

hX Cs Ur oR gp v C` ©rf tr "F 5p Cv 0R 5r q CX "I "TCF trUT Ch 0R "# 7 f# # gh "F 5H X C &$ ¢ 2X 5 gX 5R r t tF 5 Ch ©R gX 5` "F ¹ UT U¢ 0R 1 5q

R gh "F UH ©R T !h 5 r ¶ ©R ¡ 5` SR C(¸ P YX © gX 5qtI gh5`gX X"F"` tv UHtF Yh hdR 5RCs "r r 5 "H 5I X "F % "q $ 3C ¥¤ ¦ # "T 5T 0! gX 7 "F Cv oe 5h 1R "r ! "F CT C 5r fX X "f"a "FCF gX& "` "F ` ta

7X ¨ 5 gX oc gf! "v 5 xF X "` "F tv "` C¼tT 1 gf 5) bi "F "e gqtT gp P %h p gI "r oP

gr gF P "fyi 5` "F õX tT 5r p tqWq gp G¡ oV( yh v ©p oP5r Csp g tr 5hUi gp "`#3 5` § "v (T xu "ta ©p "FUi T UT 1R è Cr

0X V §X v gu1¸ i (R"FCF qvv ©R©X P ¥X v C Xq X tv hv


pvCB Uh Cr C gX Yd gr 5` hvfqX 5r C Xr C gpv d "F oq tT ! p ©X"F § P"F ©R 5` CC` X Cq "r d tv r gp "`CI 5r tqgF {X p P Ch t X t p p


Ua §R w Cr X r "F ` ôl ©R"F UTCv Rtr ghp h"F UH gf dR "ic P tr ©pUh eP 5u gr í "3 ¦ GV CI (r "u "T CF gq P Yh "F "F t` g¼ oi v q UT R gh "F UH dR

¸Y ¨ r

33

¨ @ ©3 3 ¨ 0C ¥Y ¸¢ ¸ ¥U !1 ¥ ¨ 49 !5 68 &

p xh gp "F UT SR tP 5c X "h F GV "I 5T C ©X P gX H |u r c 5 gX 5` X 5r X v t` 7p Cr gX ôT ! "u 5v gX C` tr Wh hq
3

A@ " 5Y x! " A$ 0 49 5 8 p& ©3 ¨ &2 64 5 7 5 & ¥X ©¨ # !# ¨ ¸1 ¥U 4 3 ¥T ¥¨ ¨ ) ¨

X 5a Cr (X o "F tv Cv

gX "T tv h gp 5r "` CX

UT 0R gp " 5` 5 (X ©R

5q gX "` xF 5q ©R Wv 5` C 5 X X

F Ua ©R C` ` a ©R tv u h Uc gp ©R

tr h v ´ T r p Ur 8B " ` "F C`|u "r Cr tT X gp

e C W "F "F Ue "qdR "e c t` "F gp oR U` pH

gX hH ! 1R "F gr "F tF UT h R gXp H "F
©8

f$ )( '& 28 ©$ §7 F 25 0! ¸Y D8 %$ 7 F9 5 8 '& 2 93 7 7 5 & ¥X ©¨ # !# ¨ V1 ©0 3 ¥T ¥¨ ¨ )

h 0R 5v 5q gX "FgX tT"T

5q (X gX "` "` "H ©p tT biCp ghC

r "I "T UT R gh "F UH ©R yT h


Cr ©R
98

gf

F9

|uíF Cr ( gX "T UT ¤ SR © hP 7 gX& H ©p oi CF tr yh q "F "F oe o bV p h 5I q C X "F oV Cv §F 5r CX |u 5 8B "F r 5¡ 68 t` & Cp 3 ¨ ©R &2 5T 14 X 5 ! "u

f h bi gp X 5` r C "eCv 5rgF CX

f$ S( & 8 60 f$ 8 8

§ %F "I 5` §v 5 BgX "T C r {X
gf(r "iu "` ªX xX Ui 5 5 ©R P (X (l5 5R Wr5`

R h 5h SR oi pv X C` "F "r 5T 5 X Cr 5T gX gX 5` 5p ©R 5

ta gp gT tP 5c gX YH ! "F UR tv tr h '& 2 gf "i "` 5`r X oe gf bi "H ©p "F P "`0X

¨ 49 5 8 '&

gfF S( h8B gp "r 5` tr gp 93 P "F & "I Ch SR X Ch pqq `yB "i©8 $ P tv"F " p"F CF 7 F " v "Tb hUT gp "` 5` tvGV h CI

tc F gp Uh t` "f "F tT ! o ¸¢ 5T ¨(X

"1 ¡`

gp gr v ©R C "T d H Cu ©q v gp |T ¸¨ |F r¸¢ p §5r 5r 3oR gX "v ©RH

tr ! Ch r©X "r tT 5T C` ©X "r Ui

Pp U tv X gp gp Gv "F

p (R (tv tH yh"e}h yF

ugh ! ©R "f "F yq Cv 5qq

49 5 8 '& 2 14 I5

tv X gp ©ptH h P 8a gp tq ©p "B bi F9 p 5 § 8 "F CX oeg gf"F bi"` gp {H (gX gu"T Ui5T gXgX 1H"F 4# 27 f# # "r ©3 ` "F Cu tT "r p 5T §(X ©Rhv gX5 X"` hv |F gr "r ©R 5` §F

XC` §q 5a 0 t` "e gX gF ´T

gXX 5aCT ©p P Ui 5gf

-

§v YA §q tr ©p dP 5u "r df tr tv 2F gp tHg` 7 {h eP" oR 65 oV '& hv "F §X öftv ©¨ hh gp"r ¦ ""F x# CF # trgu 5 p Ui "r gX
5

Ug k CB Uh gr htr Ch§ gX "u 5`tvk Xp W¸ rtv h R q h ©R 5h7 5T SR " X oi65 Uc & Yv ©R 3 UH 5q ¨ ©R gX 2 gF C` 14 %P "r !5 3 ¨ 2 14 5 7 " 65 & ¥X ©¨ ¦ # !# Wp §F !7 5 & §X ¨ 2 ¦ # # 5 "r 49 !5 68 & ! 9$ 0 9 x 2 "u "e 5 CB p CI Wq |u Cr gX R

§T ¥¨ ¥¨ © ¥1 VT %0 W 43 ¨ 3) 3X

gF gX"i HP F t` p h
$ 2

tv 5R gh "F

gp tH r Wq 5H %X

Yh "f r Bgu tT gp

"F oe eP ¦©R " F

gf bi 5H 5a ©X

gp "` 5` (X gX ¡ ªH p 5qCI ei ©R UT

f gp tc tq gX `

` tH lh gB g p gp ¿ l

$ 2

gv (P 0f gF UH bi R gp "` ¡ "FX Ch 8X CI

5` gX H yp p ! xq5` p X hXer

gf "i CI "q "F "sv b " ht` "FChp

hP 5q gX "` "` Wv tT5q p gX

X h 5h SR oi ¯F & "`v ¨§ %H C F CX §F X"F h tv p

v oV gp "r5h "f 1R "F "F r C`

"F "T "F"F SR U t` 5rp 7Xhh Ch h

%` gf ©R 5` gX "r tP "` 5cCF

"i F }P !7 C X "c %H X(q h df oV !gX

¹ 65 '& & F f WF¶ H gX"gp
¡

§X ¨ h "r CT"FUT gs©RtT

¸¢ 2 ¦ CF oq bi©p "` pGP v

&¡ x# # f gX Ur g¼ 1R Ui©R

h gp tH h oB d gh gF P "F F t` "F p he
$ 2



7

"r

5` H oB q

tF GV

©

Ch gX 5` X tv h "TgT &H Ui tF Xp h ´q5a X "f "T "r "F §¦ 3 "! 15 pvRF 5q gXUf 1RC` "r "r tv Ur©X URbi dr4h gs Crei uX R h h gp 5e §¦ 3 "! 15 ©p ©R oi C` CF"r tr tv H p ©p oi tH gr 5 T "F ©R pCT T 5a µq ¨X"F "r "F §¦ 3 "! 15 "` gq ©p 1 X 8¹ "I tP UT "T p©p F
15

"F

¢4 "` h 2 3! $ gp gf tT gX gu "I 5e
©8

&

hh "` wH q §r q gp "` U¼ Cs SR tr ! 5T 5q "I(X gX C`v gT P X 5pgT P SR 0X

27 f# x# 98 f$ A( 4# 8 " A$

5Cr gF (Rgf P tP h 5c yp "H "r Q ga Gi 5V qtI


(XX "F 1R C r5r CX ´h 5 ©R C` 5` "r C tv pX tv gX xH ©p bi Ch gX H "i Cs " "r "F "F "T UT gF ©R hi o` V"F "T X ( X u h 5hp SRtr h oi tv v p "roV CF tv íh F p p §5a ©X"I (¼ eiCT Cu URgs Cq Ur bi tr oR ©p h ! C` "r tv gp tH h r ! 40 43U¼ ©R ¢"` v ©R 5` v
¨ ¦ §¦

©R C` gF Ui "T UT 2 ¦ UT ©R tT p r"F UTöf 2 ¦ tv"v 5h pqgh P 5F hp 5q r2 gp $ tH oV! Cr gX Ch 5U gX "¤ CH

c gf õ

"` bP Cr tP & &¡ "r Xgu tvh

xXgp "` m v 5c ²X yi gX T Ui gp xX tH lh

"F p° ©¶ ¨
¥¢ 3

gF"F U` bi 0R gp &¹oP "T UT UT U¢1R SR c ¡ q ¢ 5q ©RtT gX gp o` C` (V yu h 5r1P xX "c l $ &"` tv h "T"` v CF v r `


UrX tq©R X h UR "i r P

1¹& D8 ©$ 5TX p (X"r "r vtv "T "T F9 gF 5 §i68 gX GP "` h v v b h 5yR gX dj 2 14 5 U`p Ch ©R X "H "I "e öf h "r "I

UH Cr YR gF Ui CF "T (q UT

&¡5 ! gF WP d$ F "T !$ t F$ "I "i "T P "` v bP "e gp gF f$ )( gsrX ¡ 5 UR df 0R gX 5q

t ©p oi ©p xF oi CF Cq tr gX "Ft p "F § 5` "u X tv "r p tv )( 8 (¹ © 1 & 93 C §¥ 0R gq §P t` gp H f h &r gpoB UR ("I tr gugT h UiP tv gXX p a H "r gf "i íP r "I gXUi 5 "` UR H r Cp 5 7X gX r !9 " 9 0 2H 4# bi ( ©p xu P 7Xxy !r !1 X ¥¤ Wr 5 X r h 5UCB HX Cc "F gs "F Ui 5` gX X tH "r gh

"r "¦ ¨ §2 ! 1 Uf bR Ua ©8 SR $ Ui S( p ©p ei SR %P |I "¤ 40 43 ¢ 5` tv F gp "`C¥ gF t §P gp tgT p bP ©p

gX'& SH 7 X r "r p § bi "u Ch

!0! (C` "H u "F Cc tv gX p H

"r8 tv gp8 "` gs tv Ui h gX yr µq q ¨

gp tH gX h CT gs r bi p p "u gX t "F 5T gp tT C t` 7p ©X gp greP H ¯uyF p "F5T XgT §v tP 5c gq gX WE H 1¹ §v q &r (¼ "f Ptr 7Xp Cq ír 5r CX p X "I h "I "T tT gp "` F gpX "r "F "H tT "F gp "` |T tv hr Q) ¦ §¦ 3 "! tH"# wh 7 f# r# "p "r0f "`"H p tH gh õ oFbB ¶! or U¼ (u ©R p ¥1Ur U5R !¤dr gs¨ ei WFu

F "u tc ¨gp

2


Ck k

! ! 1 © §T ¸¨ ¨ ! ¢ W )

o t` ©p P X 7h ! |F 5r SR oi U R q Pv h 0Y 1F u t` 7p "I gr tT "Fp "` UH 5 yR ©R ©jtT h B Cr 5R X tr Uch ©R tv p5` "rC X5T X rv "I gI CT oP"r UTU` 1RSR oPCr UT(X URv e 5R r ¦ {¡ "u 5v gX C` tr ph p Cu r q (r gu eP ©R 5H gX H CI Ur 5R dr gs ei u tc gp ` íF UT 5R
3 ¸4

C 5` 4¤ ¨

"f "F tT p " gF Ui g "F "` H ©B {q Cr 98 X f$ 5 tq )( gX gp'& "T & D8 tT %$ g¼p §7 oi 4# &v ©X

27 f# #

5 gs ei "u q UT R gh ei dR §c ! "v

xT gf "F UH t"F p C

"i GP dR §c tr 5r Ch CX

oR "v "F C 5r CX 5 5 gX 5` X 5r (X v gX 5 5` ©R (X 5` tv C {h X "F ¡ Cv¯p

©R 5` t` 7p tr p

C X Cr gX h "I gfCT

9 x 2 H ¸Y 1 0¦ ¤ 3 ¨ &2 14 !5 2 7 8

5q X "r"i 5T U`§P !

c CI SR !"u oP 5v

tq gp gX C` "F UT "F 5R

t` gp tr &h "e tr tv}h

yH F "F "F oe gf bi gp q F9 5 68 p& 9 x 2 gp "`öf h 5` tr X p v 5q X 5 c (X CItv h{q

tr h 7p r o gutT 7p bP gp r ! ei 1R ©R or T (u"a
GF

gf "i P F9 5 "fG¹ tr "F h&¸ UT(q x¢ 1R "u ( gr "F 7p ©p CsUi UrCX 0R "q {h F r p §F

x# # 65 ( !7 65 '& §X ¨ 2

'& 2 gr §F (¼CT Cuq C` t "rp

3 15 t gp "q tr "F p tvUq gpdR c tH

!8 &( ` "` 5u v h Uv

"u "e gF ôB Ui "f 5 CT 5R 5q r gX Cs(` Ur§u 0R X 5q ta X ´p Cc gs "F Ui "F gX Ue tH 1R gh grF tF gX h §T5v gX "` 7X "H r UH R 8 5egp gX t` gp` H ol bB 5 d¶ gX p §T d CI©X q i "sCs "rtT p "F 5q ( gX gu (` Ui Yu gX H CF trgp Ch T gX CT 5I gs C bi X p "r "r 0 CF ! Cq "u tF h"T CF ©p "r öP 5T µa ¨X v Cs tr r 5h gp SR CT Ui 5q C gX ·X (` wu ¼ Cur 5q "I gX CT gT 5q Ui gX X ` 5q (X p Cvgp 5r tT gX7p 5` r Xb p Wv !7 65 '& §X ¨ 2 ¦ ©R C` "r tv gp tH h "f "F Ue dR "c gF ei 1R gr 5` gX gT F GV "I 5T C ©X P gX pH |u

!7 5 & §X ¨ 2 # # 5

¦

ptr ph "I Cs CTtr gp5q gXC` 5rtT Ch7X X r Ch p gX h "` %q H X gX "r §T ! 7XCs "r r CF GVUq R "I C 5r CX 5 ©R 5` C X gp t` gp H tr "B ©p F9 eP 5 5u 68 Q & "! & x A$ 0 !9 gs 2oi !# 15 ( ©8 $ S( & D8 ©$ 7 "# 7 f# # ! §¦ ) ! §¦ 3 ! 9$ 0 9 x 2 ¥¢ ! !¦ 1 1 © ¥¤ 1 ¸¢ ) §¦ 3 "` 5` X 7v ©p bi Ch gX &H 5q F X Uh Ur UR gr er v gs di C u k tc gp ` q C` CF5r B ¦ H "u "e gF Ui 5 UR &r q r gu eP ©R 5H gX wH CI Ur UR dr gp "fF "F &C` "r tT gp "e f "F h U` "r R gF bi gh "f "F "F tT ©pCI xqbi gh ! "F 7 " 65CI & q 5 & ¥X ©¨ 2 ¦ # !# 15 ( " 1 ¥T ¥¨ ¨ ) §¦ 3 F "f "F oe gf bi gp "` 5` X v gX "T tT p &0 x# © ©2 $ "! ¸ 95 98 7 9 65 $ ©R "H CF yr e 1R or u "u gp dR C` c oBr ©R pF C` "I "r Uf "T tvUR UT gp tr 0R ChtH 5q hgX gX "` ¶ "` otH CF gpCF "r WTtr tv Ch gp "FX "` "Ftr gh5` Ue X"FdR tv"cgT h gFUi XeigR 1Rq ! f5R hr Cs tr "r ©p "F dP ( 5u gu Ui gpgX TH XtT 5ap gX g 5` Ui X ©X 5r §PX v p Ur "f UR "F dr oe gs gf x# # 5 ¸¨ ¸¢ § !3 §¢ ©0 " !1 §2 4¤ U ) ¸4 §¦ 3 ¦ ©R C` "r tv gp tH h "f "F oe gf bi gp "` 5` X Yv Uf
-

! 9$ 0 9 x 2 F9 5 8 p& 3 ¨ &2 64 5 &2 4# 27 # # "# ¥X ©¨ # 0` F¤ 5 ¨ ¦

¦

©X5` X ¯P 5r yF "I Cq "e

¨

tr7X Ch r ¡ gs u5q

"! 15 $ 2 "! 15 $ 2

¦3 öf(X xv h gX gF ` Ui

rCp ¡ 7X UR gr tr §F&h l

! 95 d G$ 2

3 ¨ 2 14 !5 2

gX Ch eip ©p bi

5` gX ` tv lh oB p bi ¿h l ²X (X v ©RgX `T 5` 7p (X rv


Cq tr Ch C ¯¨ "T CF CF "r tr Ch5T pgr 5` C gX "s yT tT ei biu gptc gp"` `

"! 15 $ 2

(X tc ©X Ch xX

1R "r f ` l oB k

"! 15 $ 2


Xé è ua @ XW tc uf e u td a es VS T w hs f T S T `S ¸S a Ts z Vs X b XU «f u V @S 1g TW t tc h t f Ts T X qS r V¹ y f uf ua u T x TS u TS u¨ hd X hg f T f @ a ba V uf u u a a u e

Xc u @ g tc td t w t ba hd t u Vs 1U Tc uS Ty hx ba qp a s T TS t r qp a ts Tr Vf uv Vz ¸y ua pi VS Ts tS u Vw Vs P a Ts T X u qU @ r w u XW t Vr f t uf 1U ~ w t b e ts b hs v XW hd bf `g eW T S Td ¸

Vf T

tS ua u V² u° f hs T hs ua eW

·U Vz 1U

j h t b e¨ u¥ 1 Vs T e ` qp ba ¾d TS b §

b r ¨

uf Vn Vo

u u½ VS u tg a ·g ei P X a Pà U ua Vs U X r a Va Vs 1 t

h¢ u t b es `w Xc uf Vs Vw XW T X a tg uf hd uf `U uc XW T t u qU { xg ¸y a Ts V t u T TS `U VS ~ TS V t bf hd uf g i Ti Tf Th Vg e VS t b hd T t U uv e TS X u h u uf V t ba hg uf b e e o kj e T q S ¨ X´ ª X¨ ¥ S b h q ei Th u T X t tc t r qp uf t a uf T V h Tg TS xU r T T V a G ba

o T e VS 1S Vª f V X eW Xw f Vg t e V V Vw X ` V V ex Ts T

uf @s t bf t

Th

b

tg uf T e Xs uf `U e VS TS T T ts V T T V ed Ta Vw

hg ua XW T T V Y

VS X uf ô qU Tg ` f @S qs r Vs µo pj S h f u u us X a T U

X VS Vf t xw V T Xa t± a ¥ Xs Vv VS `g tg T V

` @g eW Ts h ba u Xs uf ` V¨ e´ Vª U w VS Vs T X u t T T eg u td ua Xs T TS X ua Vs T V t bf ua X u V e¼ º¹ w¸ d u f q r h Av e u Xc Ta `r V® e ª f V T ts f g «ª f V tg ua Tc VS t X t T w tc r ¥| ua x t Vd ` uf XS T a Ts T T V eW T X a @U Ts ts ua ua Tw T uf T u» Ts q u e¯ T Tª hs `s u Ta T Ts T V

V VS T ts Tf f hs ba hg ba h Tv Xf i u XW T tg ¥ eã g i T² A t Xa r TS XU v Vc TS T 1d ts @U `g es q¢ f Xs hs f V þ j h ~ Vv hd f 1U Vw f pi f f T eW ts X T X b 1 Vs T Td ra Y v T t w hp © xY VS TS X V b uf V q hp h g Vw ~ X r w Av T Av U xU c TS ua tc eW V }s 7| ua ~d f u q T T TS ` uf Vd Xw Vv V VS T hg uf uf hd t a 1s T Ts xU r uf u TS T V T b¥ tg V `s e V bf « V r Xs X qU XU T V t u u

t t @s f q u

u u

VS q ¨ kj ö r X Tg Vl ½ ö r ¨ j b xs e Xs Ts Vo kj kj Vo ej l kj XW Tl u§ u X uv Vf

l

ua T }S &| X¨ 1 U uf u u r uf hd hd pi y a « Tv xs h } | j r T V 1

~ ö X a ¨ Ta S uw V V u X ua V q u uf U @S ts uf t Ta V t Tf V U w T td uf X u T w h

j b Ts tc XW hd ua ts e ts f c ed e ts ed U ¸ ©i ua Tf h ua XW uf ua U 1 ts }S ¥| T V s

o kj T X ¨ ts f t ba Vå V u qS 1 `U T X Tv @U Va Ti Tf u Td uf V t Tf Vr Vc t uf Vw Tg w uc t f a s ua x a c T T V t a

e u X´ t uf hg uf m kj t ua 1S b ¿s e «v Th tw Tv t u T ua TS VS TS XW u w b u ut T X u

X VS hf Vs td r V x uS v ba Vc eW b V T Td

TS &| ¶s T T qp hd u ¢ S es TS T hd hs T tw Vv

bf

u i ua X X tf U e´ ª X¯ ¨ t a ts TU V t u ¸ Xo Tä X b X hd a Vw eg u XW T ` A g V f hp f V t u f Ts d Ts u X uf T Vd U i Vd t hd uf ua Vs ts V Va @v TS ¡| Ty i To j Xs g f X Vr @r u hY uf td T V bf h u hs V T u ½ á Vs T w TS ªf f T X Vå q¢ f T T VS X a Xc f T T ts hd f ¸U Vs ts V t V t @ Xa u T TS U f ~ Xc u Vc S n ml 1Y d u T V tS Td S V VS V T @s g

o T Tr a a VS u ua T Tr S b ¥ ua t 1 y uf P c XW t qU r hd ef f uf t { V Tr V ed t b qp ts &| uf uf Xy b XW t V tw Vv

U a t Ts q ua V n a e V ¸g a U T S 1 V U A e Vi tc Ta 1r eg uS VS td u f t ex Tw Vs f w TS X U S s Ts 1U U T V T u

kj 1g T VS hs VS hd h T VS S Ts ed S hd Tr Td x t Th ua qp a ua Ts P Ts ts TS X ed }S Tc T S Ty

V td V ` Vr a td V z hY a V ba g X td @ f a a i uS V V T ex

Xw f Vr Vc r Vw r a

a qp ¸r ba u¨ Tv Ts Tf S p t qp T T ua

Vá &| a ` h Vv tf Vc TS u¨ h Vv tf t ua V t ¨ Tl hg Vf Vv td t Vo Vn T Vd Xy Vw t j ¦ hd Ps 1 xS Xy Vw t f P P { td t V T V ts Vr qf

1 To

TS T TS Tl m i Td m j i Tl m hg ua T U Vn ml t hd uf b Vn ml Ti To Vn b qo r T To To T Vz T T pi hg

r u½ qU p Tf l kj V V VS n n Vo y V T bf

T X Ts v VS T e µo pj e V f á e µo pj e u T há a T U `U Vw Y T V e µo pj e u xS uf qp s ~g ~ b t Y m e tU t ml e r ml m r ml r Vn l kj Ti f T Vg f Xc g ba ¨ u ¥ kj j Vo a n V ed Xc TS R

ua T q T¨ V o pj t f tl tf &| Tl e t e b b Vn Ts ml kj T T ba

q r s u b T q hp uf T e T q T e T ts Ts ts T e T e T q T e u T e T e T e t j ¬ h } j h V u ej u ej u Tf Th X u Vi ef V T `Y XW

h f eõ X h h f rf h h h bf a h h h rf ¤ | f f f g qU Vh V T VU

¸Q P$ 4D )2 ¸ $ IH G $ " "7$ "6 "6 "5 43 )2 1 "# 0 ) (' &% $

F$ 10 ED " ¥0 CB A3 # @9 8 # " ! ¨ ¸¢ © ¨ §¦ ¥¤ ¡ ¸¢ ¡


¨§

è

j tg uf Ts V t U A TS T X Tf Vr ua

¢ ¢ ¢

j t g ¡ T TS X u Vw T t X ua 1 c ~ r X u Xw Vv u td uf qU r 1S `S uf T g

s

T § `S

Tf

ua ~ w tU T uf Ts PU X u

¦¥ V ba hg To Ts TS Vo l pj

u f u ua Vs x TS qS e a T X¯ ` t Vr

To

ts f ~ T V g Vf T T ½ qa T q u u TS uf V¹ 1y TS ` t Xf TS X u Vw d j kj e }s 7| ei ± V tg Vc r ` s u T q

hg f ~d u f U « U w t u qU ± `f @U S TS TS X qU g Xc Ts q XW T X ua V T X

ua @ Tr ua X VS

a P q X ¨ Tl u a V¨ ex TS

± ±

½ v u½ r u ¨ ½

u¨ Vl uf Vs Vn l j T XU f e T q Vn l pj f f u¨ uf Tv X¨ qo u

T t ki hg f Vs h w tc f X

Vf tf « XW V a ¸ Vf i eh hd a Ts

Tf V t T f ¥ TS V

ts Vr i a t bf XW X ~ r X T X TW t r Xc Tª ª tU qf ei

f V t f Ts V qU Vo ed V j u V tS Vr u r X t Tv Xf T ba Xf 7| uf qS ts U w g &| `S T Xy VS xS Vf uf Vs h t f i ² Xã ¥ Xc u V

tc uf t u t f T T a h Tv r T 1 Vw i Xc uf T

TS V Ts T t uf Vn ml kj T q t ua u i µo pj i Y T hg t ua 1 Vô ua T r Xy Ts T g Tv e o VS T uf `U Tª VS d

V hd f V e q r e f Vs 1S VS V t tc ǻ | r

f Tf V T TS TS uf ©

Ts @ h b T X u r Xs u Ts V ¥ T¨ uª ua Xs Tr V e Xs uf 1d { VS T X ua ` u xY t a Ts

t a X u Vv u j `U TS TS X VS Tf V uf V a tg VS } | VS X ua TS TS V a ~ w uf e hd t b td uf ua S XY VS X u t ua Vs r X ua b TS xg X V V hd u Vs V t V¨ @¯ e VS V VS h Av ey t uf VS u qU A
¡

Td tw ua t TS t t u hp f T X T TS TW VS TS

ua T uf u hd VS ts a ¸g u uf tS T a q r a ¸g V Ts q tw Vv ·S hg d u ua td ed xY bf T TW X tf TS T ~ V uv hd f f T ua tc U V T h XW X

s e Vs TS Xs w t ba U e S S T VS w ts f ua Vs VS s

S hd Vr ba es VS t r Ts ua t a U r t S hd Vr V VS hg Vf xg a u f v X hd a

T Xp q t u X u i uf ua uf T Ts ua X T tS

Vf Vf VS VS ev f tw Vv V h ra t j ed Xw P u¨ u `f td ur X f Td i U @ Xs uf td Tr TS `U a ed Xw Xs

u Ps Y T Y T f hd Xy Tw ba Xy w c Tv u Tl Tv u f

a X Vw Xc s u§

t td a Vn u u t u t u eW T | j Ps

T T hg Vf X´ ª m kj V To n t

V¨ Ts h r á ¤¸ V u u t¯ ¨ t¯ ¨ ej q n m ej qá r t V Vs e q u

m j tS V X½ u T u¥ u¥ Vl ¨ eg qS a ¥ T u ml kj V tg

u½ ua T f e q e¨ uª e¨ uª m kj Tl ts Tr e¯ ¨ q e e e e ua s

q rr ± V½ u t j u V ± ± u½ X ½ u½ T Vf u Ti h u h h f

f ¯ ¯ S U g T ½ T ½ U