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Torno a Pedal II

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D

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Dl`}I

} ndd ajgnk whjk I wjk} }l sibf zs oy mnzgh/

}jq Qnbhjdd n} }hj jkm l` hjq `qjrhonk yjnq

n} blddjgj+ Wj hnm ezr} ̀ ikirhjm dlnmikg hjq

ajdlkgikgr whjk I rsl}}jm n sidj l` sikj = x =r

nkm rzbh ik n kjnqay mzosr}jq+

—Whn}’r ndd }hn} wllm<‟ I nrfjm hjq+

—]hjy’qj/ldm/dl`}r/`qlo/sjlsdj’r/mlqo/qllor$/

Mnm$/}hjy’qj/}qnrh/klw/ik/}hj/mzosr}jq/sdjnrj/

dj}’r/gl.‟ rhj rnim$ rikfikg n di}}dj ik hjq rjn}+ Hjq

`qijkmr nkm bdnrron}jr wjqj ndd nqlzkm$ nkm I rzm/

mjkdy qjndiujm }hn} }hir wnr n sjq`jb} lsslq}zki}y

}l mjolkr}qn}j oy blkbjqk `lq }hj jkpiqlkojk}+

Wlzdmk’} rhj aj sqlzm.

—Dj}’r gl }nfj n dllf+ ]hjy jpjk hnpj n azkbh

l` bnqqingj ald}r wi}h }hjo. I blzdm onfj n }qjn/

mdj dn}hj ̀ qlo ndd }hir.‟

—I}’r/}qnrh/ik/n/mzosr}jq$/Mnm$/dj}’r/gl/klw+

Sdjnrj.‟ rhj rnim$ szddikg n rwjn}rhiq} lpjq hjq `nbj

nkm rikfikg jpjk dlwjq+ I gzjrr }hj rzk wnr al}h/

jqikg hjq+

—Bloj lk. Dj}’r rhlw jpjqylkj hlw wj mlk’}

dj} wllm gl }l wnr}j.‟ I rnim nr I bdioajm zs ik}l

}hj mzosr}jq nkm ajgnk szddikg ldm siuun alxjr

l`` }hj }ioajqr+ Whn} n }qjnrzqj. Nkm ajr} l` ndd$

ay Qly Zkmjqhidd

Qly Zkmjqhidd ir }hj hlr} l` }hj }jdjpirilk rjqijr$ !]hj Wllmwqigh}'r Rhls$! klw bjdjaqn}ikg hir }wjk}ij}h yjnq

l` rzapjqripj wllmwlqfikg lk szadib ]P+ Hj ir }hj nz}hlq l` ̀ ipj allfr lk }qnmi}ilknd wllmwlqfikg$nkm ̀ lq }jk yjnqr hj wnr onr}jq hlzrjwqigh} n} Bldlkind Widdinorazqg+

Hj }qnpjdr jx}jkripjdy$ }jnbhikg nkm r}zmyikg }hj }jbhkldlgy l` }hj sqj/ikmzr}qind jqn+

n}hj

]hj hlr} l` SAR’ }hj Wllmwqigh}’r Rhlsazidmr n `ll}/slwjqjm dn}hj nkm eigrnw+Ay zrikg qjbybdjm dzoajq hj hjdsr }hj jkpiqlkojk}$ nmmr rloj

‘kjw’ j~zisojk} }l hir rhls nkm iosqjrrjr hir mnzgh}jq+

 `qlo n

   S   h  l  }  l   a  y   N   d   S  n  q  q   i  r   h

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whjk I hnm ̀ ikirhjm dlnm/

ikg }hj }ioajqr$ I dllfjm

n} Qnbhjdd nkm rnw }hn}

hjq sqimj ik hjq ldm onk hnm olpjm hjq

}l }jnqr. Rloj}iojr jpjk I ml }hikgr qigh}+

]hj @qnoj nkm }hj @dywhjjd

]hj rndpngjm }ioajq wnr sjq`jb} `lq oy

kjw }qjnmdj dn}hj mjrigk+ ]hir kjw dn}hj

wlzdm aj ozbh riosdjq }hnk oy ldm lkj$

zrikg nk —ikalnqm‟ ̀ dywhjjd wi}h }hj blk/

kjb}ikg qlm n}}nbhjm }l i}r ̀ nbj$ qn}hjq }hnk

}l n bqnkfrhn`} }hn} wnr mi``ibzd} }l onfj

nkm hnqm }l qjsniq+ I} wlzdm ndrl hnpj n eig/

rnw n}}nbhojk} nkm$ olr} ioslq}nk}$ wlzdm

aj n wllmwlqfikg }lld }hn} fimr blzdm

onfj ̀ lq }hjorjdpjr+

Nr I wnr }l aj }hj sqionqy fim zrikg }hir

dn}hj$ i} hnm }l bloj nsnq} nkm snbf zs

rondd jklzgh `lq jnry }qnpjd+ ]hj `qnoj

l` oy dn}hj ir lkdy =3! dlkg ̀ lq }wl qjn/

rlkr+ @iqr}$ }hjrj djkg}hr nqj jnrijq }l snbf

whjk }qnpjdikg$ rjblkm$ }hj rbnpjkgjm 1

x =r wjqj 83! dlkg+ Ylz bnk bjq}nikdy onfj

i} nr }ndd nkm nr dlkg nr ylz wnk}$ }hj lkdy

jrrjk}ind ir n bdjnq sn}h ̀ lq }hj mqipj ajd}

aj}wjjk }hj ̀ dywhjjd nkm }hj mqipjk szd/

djy+ I ndrl zrjm olq}irj/nkm/}jklk elik}r

}l blkkjb} }hj }hqjj D/rhnsjm ̀ qnojr nkm}hjiq aqnbjr rl I blzdm ~zibfdy fklbf }hjo

nsnq}+ ]hjy blzdm ezr} nr jnridy aj blk/

Rbhjmzdj l` On}jqindr ‡ @ll} Slwjqjm Dn}hj

Kl+ D}q+ I}jo Miojkrilkr ] W D On}jqind1 N Djgr 2> ⁍ 1! x 2> ⁍ 1! x 23> ⁍ 1!% Sikj> A @ll} >> ⁍ 1! x 2> ⁍ 1! x 19> ⁍ 1! Sikj1 B @jj} 2> ⁍ 1! x 2> ⁍ 1! x 19> ⁍ 1! Sikj1 M R}qj}bhjqr >> ⁍ 1! x 2> ⁍ 1! x =3! Sikj1 J Dn}hj ajm qnidr >> ⁍ 1! x 2> ⁍ 1! x =3! Sikj1 @ Aqnbjr >> ⁍ 1! x 2> ⁍ 1! x 2=> ⁍ 8!% Sikj> G Hjnmr}lbf qjnq >> ⁍ 1! x 2> ⁍ 1! x 20!% Sikj> H Hjnmr}lbf ̀qlk} >> ⁍ 1! x 2> ⁍ 1! x >>> ⁍ 1! Sikj

> I Hjnmr}lbf szddjy 12 ⁍ 8! min+ x 2! Sikj> E ]nidr}lbf 2> ⁍ 1! x 2> ⁍ 1! x >1! Sikj> F ]nidr}lbf wjmgj 7 ⁍ 8! x >> ⁍ 8! x 0! Sikj> D ]lld qjr} 2 ⁍ =! x 22 ⁍ 8! x 0! Sikj> O ]lld qjr} anrj 2 ⁍ =! x =! x 8! Sikj> K Gzimj adlbf 1> ⁍ 1! x 1> ⁍ 1! x 2> ⁍ =! Sikj> L Dlbfikg snkjd 2 ⁍ =! x 1> ⁍ 1! x :> ⁍ 1! Sikj0 S @dywhjjd 2 ⁍ =! x 7> ⁍ 1! x 11> ⁍ 1! Sikj2 ^ @dywhjjd >> ⁍ 1! x 7> ⁍ 1! x 11> ⁍ 1! Sikj> Q ]ij qlm 2 ⁍ =! x >> ⁍ 1! x >2! Sikj> R ]qjnmdj 2 ⁍ =! x 2> ⁍ 1! x 19! Sikj> ] Blkkjb}ikg rsnbjq 2 ⁍ =! x >> ⁍ 1! x >> ⁍ 1! Sikj%Djkg}h ikbdzmjr }jklkr+

 Eigrnw> Z ]nadj 2 ⁍ =! x 9! x 12! Sikj

> P @qlk} aqnbj >> ⁍ 1! x 1! x >>> ⁍ 1! Sikj> W Anbf aqnbj >> ⁍ 1! x 1> ⁍ =! x >8! Sikj> X Al}}lo qnid >> ⁍ 1! x 2! x 11! Sikj1 Y Nqor > ⁍ 1! x 1! x 11! Lnf  > U Nqon}zqj dikf   2 ⁍ =! x >> ⁍ =! x => ⁍ =! Sikj> NN Ikmjx adlbf   2 ⁍ =! x 1> ⁍ 1! x 1> ⁍ 1! Sikj> AA Dlbfikg snkjd 2 ⁍ =! x 1> ⁍ 1! x :> ⁍ 1! Sikj

HnqmwnqjDn}hj=/ > ⁍ 1! r}ls blddnqr=/ > ⁍ 1! }hqzr} ajnqikgr>/ > ⁍ 1! ̀ jkmjq wnrhjq>/ > ⁍ 1! x 20! r}jjd qlm (nxdj$mqipj & mjnm bjk}jq$ bqnkf)0/ ">1 x =! wllm rbqjwr ̀ lq n}}nbhikg r}qj}bhjqr }l ̀ jj}

=/ 0! x2

 ⁍ 8! bnqqingj ald}r$kz}r nkm wnrhjqr1/ 2! x 2 ⁍ 8! bnqqingj ald}r blkkjb} }ij qlm$whjjd nkm }qjnmdj>/ 2! !]! hikgj ̀ lq }qjnmdj

 Eigrnw1/ 2> ⁍ 1! x 2 ⁍ =! jyj min+x 2 ⁍ >0! }hqjnm$jyj ald}r>/ 2 ⁍ >0! }hqjnm x 1> ⁍ 8! }zqkazbfdj1/ > ⁍ 1! aqlkuj rdjjpj ajnqikg (rnwk ik}l }wl > ⁍ 1! djkg}hr)1/ >> ⁍ 1! djkg}hr l` > ⁍ 1! rhn`}1/ Blsikg rnw jkmr>/ 0! x > ⁍ =! ald}$wikg kz} nkm wnrhjqr `lq olzk}ikg rnw+>/ 2> ⁍ 1! ojkmikg sdn}j> > ⁍ 1! }hqzr} ajnqikg

N

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Mjnmbjk}jq

Mqipjbjk}jq

!]!,r}qnshikgj

Ajnqikgr ikhjnmr}lbf

Rhn`} dlbfrik szddjy

Rhn`} dlbfrlk rhn`}

Rhn`}

0! x 2,8! bnqqingjald}

0! x >, =!ald}

]hj ̀ qnoj ir }hj jnrijr} snq} l` }hj onbhikj+Jrrjk}inddy }hj ̀ qnoj ir }hqjj D/rhnsjm ̀ qnojr$}wl 1x= anrj sdn}jr nkm }wl 1x= aqnbjr+]hj}wl lz}rimj `qnojr nqj onmj `qlo }wl =x=slr}r$ nkm lkj 1x= wi}h }jklkr n} al}h jkmr+]hj}ls l` }hj zsqigh} =x= ir qnaaj}jm lk al}h rimjr}l ̀ lqo nk lsjk aqimdj elik} wi}h }hj }ls aqnbjr+]hj ̀ dywhjjd ̀ qnoj ir onmj l` 1x=r+

   I   d   d  z  r  }  q  n  }   i  l  k  r   a  y   E   i  o

    R  }  z  n  q   m

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kjb}jm wi}h rbqjwr lq ald}r nkm n}}nbhjm

sjqonkjk}dy+

Ik }hj snr}$ I hnpj onmj dn}hj ̀ dywhjjdr

difj wnglk whjjdr$ wi}h hzar$ rslfjr$ ̀ jd/

dlwr nkm rzbh+ Nd}hlzgh }hjy dllf kibj$

}hjy wlqf kl aj}}jq }hnk }hir rnkmwibhjm

mirb onmj ̀ qlo > x 8 nkm 1 x 8 sikj+ Rikbj

n ̀ ikirhjm —jigh}/ikbh‟ alnqm ir 7> ⁍ 1! wimj$

}hqjj l` }hjo dnim rimj ay rimj widd gipj ylz

n 11> ⁍ 1!/wimj }l}nd+ Ajbnzrj }hir ir nr wimj

nr ylz bnk gj}$ }hn} gipjr ylz }hj minoj/

}jq l` }hj whjjd$ nkm }hj djkg}hr ylz’dd

kjjm ̀ lq }hj kikj alnqmr l` }hj rnkmwibh+]hj ̀ dywhjjd hnr }l aj hjnpy rl i} widd

r}lqj jkjqgy$ nkm andnkbjm rl i} wlk’} rhnfj

}hj dn}hj nalz} nr i} rsikr+ N 2!/}hibf rldim

mirb l` jpjk }hj digh}jr} sikj widd aj hjnpy

jklzgh$ rl sz} ylzq jkjqgy ik}l gj}}ikg

}hj whjjd andnkbjm+ I` ylz hnpj nky alnqmr

}hn} nqj hjnpijq }hnk }hj l}hjqr$ }qy }l mir/

}qiaz}j }hjo ik }hj rnkmwibh }l bqjn}j nk

jpjk andnkbj nqlzkm }hj bjk}jq+ Sny n}/

}jk}ilk n} }hir slik} nkm ylz wlk’} hnpj

}l n}}nbh nky wjigh}r dn}jq lk+

R}nq} wi}h }hj }hqjj 1 x 8r }hn} widd

aj }hj ̀ iddikg l` ylzq alnqm rnkmwibh$ rnw/

ikg }hjo }l djkg}h nkm }hjk nrrjoadikg

}hjo rimj ay rimj ik}l n 11> ⁍ 1! r~znqj+ @ikm

}hj bjk}jq l` }hj r~znqj ay blkkjb}ikg ls/

slri}j blqkjqr wi}h ik}jqrjb}ikg minglknd

dikjr nkm }hjk mqnw }hj dnqgjr} biqbdj

ylz bnk `i} ik }hj r~znqj zrikg }qnoojd

slik}r lq n r}ibf wi}h hldjr ik i}+ I zrjm n

1> >,1! min+ dnoikn}jm `qlo 2, =! x 7 >,1!nkm > >,1!x 7 >,1!

alnqmr

Ajnqikgr ikrj}ik}l al}h rimjrl` hjnmr}lbf

Ajnqikgrikrj}

ik}l whjjdR}lsblddnq

R}lsblddnq

!]! hikgj

rjbzqjr sjmnd

2, =! 2 >,1!  =! > >,1! 2 >,1! 2

, =!

> >,1!

10!

 =3!

2 >,1!

12 >,1!

2 >,1!

27 >,1!

> >,1!2 >,1!

12 >,1!

2 >,1!

27 >,1!

: >,1! : >,1!

2 >,1! 2 >,1!11 >,1!

19 >,1!

> >,1!

1 >,1!

> >,1!

 =!

0!

2 2,8!

2, =!

2!

> >,8! x 7 ,8!hldj ik

 }nidr}lbf$>,8! nalpj

al}}lo jmgjl` qnidr+ ]nsjq

 }l >! lkl}hjq rimj

7 ,8!

>,1!x 1 2, =!mjnm bjk}jq

R}ls blddnqrikrj} ik}l szddjy

> >,1!>, =!2!

 =!

BD

 =!

BDBD: >,1!

2 >, =!

2, =!

2, =!2 2,8!

7 >, =!2, =!8!

1 >,1!

2,8! x :! rdl} ik }lld qjr} anrj

 `lq rjbzqikg wi}hald} nkm wikgkz} 0 >,1!

: >,1!

>,1! >,1!1 >,1!

0!2, =!

> >,8!

 =!> >,1!BD

BD

Qlsj

]lld qjr} ]nidr}lbf

Jdjpn}ilk Sql`idj

RzssdijrAjnqikg Mir}qiaz}lqr Ikb+:>2/70>/3800: ‡ Hjio rjndjm ajnqikgr$ i}jo "Q@8/>8/>1SS$-8+:3 jnbh+

Gqnikgjq www+Gqnikgjq+blo$lq bhjbfshlkj allf ̀ lq dlbnd aqnkbh=/ Rhn`} blddnqr$ I}jo " 1X:08$>+98,sfg+l` 2+

I }qioojm }hj bjk}jq l` }hj `dywhjjd rnkmwibh }l n bdlrj lb}nglk$ }hjk n}}nbhjm lkj rimj nkm blk}ikzjm }l rhnsj }hj }wlsijbjr+ I }hjk n}}nbhjm }hj l}hjq rimj nkm wlqfjm }hj whldj `dywhjjd }l i}r zd}ion}jqlzkm rhnsj+

Ajikg n ̀ iqo ajdijpjq ik hnkmy rbqnsr$ I wnr nadj }l zrj}wl `ndd/l`` sijbj }l hjds oj r~znqj zs }hj rhn`} }l }hjwhjjd$ }hjk onqf }hj ajnqikg dlbn}ilk lk }hj whjjd+

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}hik/adnmjm }zqkikg rnw }l bz} }hj biq/

bdj$ az} ylz bnk ndrl onfj n rjqijr l` bdlrj

bz}r wi}h n qjgzdnq snkjd rnw nkm }hjk bhir/jd nkm rhnpj mlwk }l }hj dikj+

Ajbnzrj jnbh l` }hj }hqjj dnyjqr ik }hj

`dywhjjd widd aj l``rj} 03 mjgqjjr ̀ qlo }hj

l}hjqr$ }hj gqnik lk }hj jmgj l` }hj nr/

rjoadjm whjjd ir glikg }l aj hjnmjm jpjqy

whibh wny nkm blosdibn}j roll}hikg wi}h

sqlsjq jmgj }lldr+ ]hjqj`lqj$ I zqgj ylz }l

aqikg }hj oimmdj dnyjq l` }hj rnkmwibh }qzj

}l n biqbdj aj`lqj n}}nbhikg nk lz}jq dnyjq

wi}h rdn}hjqr l` gdzj nkm `ikirhikg knidr+

Ylz bnk }hjk aqikg }hj lz}jq dnyjqr }qzj

}l }hj ikkjq biqbdj wi}h n oikiozo l` bzqr/

ikg+

Olzk}ikg nkm ]qzikg

Hnpikg }nfjk bnqj }l onfj n andnkbjm

whjjd$ ylz kjjm klw }l hnkg i} }qzj lk

}hj nxdj+ @ikm }hj bjk}jq l` }hj mirb ay qj/

sjn}jmdy rwikgikg nqbr ̀ qlo }hj lz}rimj

jmgj wi}h }hj }qnoojd lq l}hjq r}ibf ylz

zrjm }l mqnw }hj lqigiknd minoj}jq+ ]hj

bjk}jq l` }hjrj nqbr ir }hj bjk}jq l` ylzq

whjjd+ I zrjm }wl bhjns }hqzr} andd ajnq/ikgr ik }hj whjjd$ ndigkjm nr ̀ lddlwr5

‡ Rj} nk jxsnkripj ai} rl }hn} i} widd

alqj n rkzg hldj `lq }hj ajnqikg ylz ik/

}jkm }l zrj$ }jr}ikg i} lk n rbqns sijbj }l

aj rzqj+ Alqj ik}l }hj bjk}jq onqf ezr} mjjsjklzgh }l ikrj} }hj ajnqikg+

‡ Klw gj} n 9 ⁍ >0! nzgjq nkm alqj }hj

qjr} l` }hj wny }hqlzgh }hj whjjd+ (Nr nd/

wnyr$ i}’r n dl} jnrijq }l alqj }hj dnqgjq mi/

noj}jq hldj ̀ iqr} nkm }hjk bjk}jq }hj rondd/

jq hldj wi}hik i} }hnk i} ir }l qjpjqrj }hj

sqlbjrr+)

]hj laejb} klw ir }l ikrj} }hj rjblkm

ajnqikg lk }hj lsslri}j ̀ nbj rl }hn} }hj

whjjd widd kl} wlaadj lk }hj rhn`}+ Jnry5

‡ Ikrjq} }hj `iqr} ajnqikg ik i}r rlbfj}

nkm rdimj n djkg}h l` }hj > ⁍ 1! rhn`}ikg }hqlzgh

i}+

‡ Dny }hj whjjd wi}h }hir ̀ iqr} ajnqikg/

rimj mlwk+ Rdis }hj rjblkm ajnqikg lpjq

}hj rhn`} rl i} rdimjr mlwk lk}l }hj zssjq

`nbj+

‡ Ajbnzrj }hj 9 ⁍ >0! hldj jx}jkmikg

}hqlzgh }hj whjjd ir dnqgjq }hnk }hj rhn`}$

ylz hnpj jklzgh sdny }l szrh }hj rhn`}

ik}l n sqjbirjdy r~znqj qjdn}ilkrhis wi}h

}hj ̀ nbj l` }hj whjjd+ Bhjbf ndd nqlzkm

}hj nxdj rhn`} wi}h rjpjqnd r~znqjr n} lkbj$nkm whjk ylz hnpj i} ezr} qigh}$ bnqj`zddy

}qnbj nqlzkm }hj rjblkm ajnqikg+

‡ Qjolpj }hj ajnqikg nkm }hj rhn`}

nkm bnqpj lz} }hj rlbfj} `lq }hj ajnqikg

wi}h glzgjr nkm bhirjdr+ Jpjk i` ylz ̀ ikmylz nqj n di}}dj lz} l` r~znqj$ ylz bnk blq/

qjb} }hj on}}jq wi}h rhior nkm rbqjwr

nqlzkm }hj rimjr l` }hj ajnqikg+

Wi}h }hj whjjd klw qzkkikg lk i}r

rhn`}$ ylz bnk ̀ zq}hjq andnkbj nkm }qzj i}

ay hldmikg }hj rhn`} ik n pirj nkm rsikkikg

}hj whjjd+ I} mljrk’} kjjm }l rsik difj }hj

whjjd lk n qnbikg aifj$ ezr} rl i} mljrk’}

wlaadj nkm rhnfj olqj }hnk ylz ml+ I zrjm

}hj }wl }jj}h l` n olq}irikg gnzgj }l dny

lz} }hj 2 ⁍ 8! gqllpj ̀ lq }hj mqipj blqm }hn}

gljr ndd }hj wny nqlzkm }hj whjjd+ Ik }hj/

lqy$ ylz blzdm }zqk }hir gqllpj ik}l }hj sj/

qishjqy l` }hj whjjd nr i} rsikr$ az} blk/

rimjqikg }hj gqnik bhnkgjr$ ylz’qj aj}}jq

l`` bnqpikg+

]hj `iknd `ikngdikg wi}h }hj whjjd

ikpldpjr olzk}ikg i} r~znqjdy lk }hj anbf

aqnbjr l` }hj dn}hj+ Ngnik$ }hj ̀ nr}jr} wny

}l gj} i} r~znqj ir }l alqj }hj `iqr} hldj

}hqlzgh }hj ikkjqolr} aqnbj$ rj} }hj dlkg

rhn`} ik}l }hir hldj$ olzk} }hj whjjd nkm

}hjk szrh nkm szdd }hj rhn`} zk}id }hj whjjdir hnkgikg wi}h j~znd bdjnqnkbj ndd nqlzkm+

Whjk }hj rhn`} ir ik }hj qigh} slri}ilk$

]hj blkkjb}ikg qlm ir n}}nbhjm }l }hj }qjnmdj ay n dng ald} rbqjwjm ik}l }hj }qjnmdj rimj+]hjlsslri}j jkm l` }hj blkkjb}ikg qlm qimjr lk n2 ⁍ 8! dng ald} rbqjwjm }hqlzgh n rondd adlbf (}lnddlw bdjnqnkbj lpjq }hj r}ls blddnq) ik}l }hj`dywhjjd+

Bnqpikg }hj gqllpj ik }hj ̀ dywhjjd `lq }hj qlsj }nfjr n di}}dj }ioj$ az} }hj bhnkgjr ik jkm/gqnik miqjb/}ilk onfjr bnqpikg jnrijq }hnk }zqkikg+

Nssqlxion}jdy >>! dlkg eigrnwbqnkfrhn`} wi}h >! l``rj} }l qjsdnbj

dn}hj mqipj bjk}jq>,1!

>! BD

1 >,1!7 >,1!

Eigrnw Bqnkfrhn`}

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ronbf }hj jkm wi}h n hnoojq }l djnpj n

onqf lk }hj ikrimj ̀ nbj l` }hj rjblkm$ lz}jq

aqnbj }l rhlw whjqj ylz kjjm }l alqj }hjrjblkm hldj+ @iknddy$ sz} n aig ̀ jkmjq wnrh/

jq aj}wjjk }hj whjjd nkm }hj `qnoj nkm

r}ls blddnqr lk }hj jkmr l` }hj rhn`}+

L` blzqrj }hj whjjd mljrk’} ml ozbh

wi}hlz} }hj }qjnmdj nkm blkkjb}ikg qlm+

]hj }qjnmdj riosdy n}}nbhjr }l }hj ̀ qnoj

wi}h n ]/hikgj n} }hj anbf$ nkm }hj blk/

kjb}ikg qlm qimjr lk n dng ald} rj} ik}l i}r

rimj$ wi}h }hj lsslri}j jkm n}}nbhjm }l }hj

`dywhjjd+ Nmezr}ikg }hj n}}nbhojk} slik}r

l` }hj }ij qlm }l }hj ̀ dywhjjd nkm }hj }qjn/

mdj widd snq}inddy mj}jqoikj }hj —ojbhnk/

ibnd nmpnk}ngj‟ (hlw high ylz hnpj }l di`}

ylzq ̀ ll}) l` }hj dn}hj+ N 0! ol}ilk n} }hj

jkm l` }hj }qjnmdj rjjor nalz} qigh} `lq

olr} wlqf+

Hjnmr}lbf nkm Mqipj Bjk}jq

]hj hjnmr}lbf blkrir}r l` }wl jx}jkrilkr

l` }hj ̀ qnoj hldmikg ajnqikgr+ ]hjrj ajnq/

ikgr bnk aj aqlkuj lq andd$ az} n} djnr}

}hj dj`} lkj ozr} aj n }hqzr} ajnqikg$ ojnk/

ikg i} ir mjrigkjm }l }nfj sqjrrzqj ndlkg }hjdjkg}h l` }hj rhn`} nr wjdd nr jnrikg }hj

rhn`}’r ql}n}ilk+ Ylz `lddlw sqj}}y ozbh

}hj rnoj sqlbjmzqj zrjm }l ndigk }hj ajnq/

ikgr ik }hj ̀ dywhjjd }l onfj rzqj }hj ajnq/

ikgr ik }hj hjnmr}lbf nqj sqlsjqdy dikjm

zs+

Zkdifj }hj ̀ dywhjjd$ }hj mqipjk szddjy

kjjmr }l n}}nbh ̀ iqody }l i}r rhn`}$ nr wjdd

nr ajikg qjnmidy qjolpnadj+ ]hj r}ls bld/

dnqr ikrj} ik}l al}h jkmr l` }hj szddjy ojj}

al}h l` }hjrj kjjmr6 }hjiq gqjn}jq minoj/

}jq onfjr n ̀ iqo blkkjb}ilk }l }hj wllm

l` }hj szddjy$ nkm }hjiq rj} rbqjwr (qjnbhjm

}hqlzgh hldjr mqiddjm }hqlzgh }hj szddjy)

nddlw ylz }l qjolpj nkm bhnkgj }hj rhn`}

nr kjjmjm+

]hj wllmjk snq} l` }hj mqipjk szddjy

ajgikr nr n 2! rjb}ilk l` sikj = x =+ @ikm

}hj bjk}jq l` lkj jkm nkm alqj n sqjbirj

ikrj} `lq n r}ls blddnq ik}l }hj jkm gqnik+

 Klw rj} n 9 ⁍ >0! nzgjq ik }hj bjk}jq l` }hirhldj nkm alqj }hqlzgh }l }hj l}hjq jkm$

r}lssikg ezr} nr }hj jkm l` }hj djnm rbqjw

sjjfr lz}+ Zrikg }hir slik} }l bjk}jq }hj

nzgjq$ alqj }hj ikrj} `lq }hj rjblkm r}ls

blddnq ik}l }hj ̀ nq jkm+

]hj szddjy ir r}idd ezr} n r~znqj adlbf n}

}hir slik} ” kl} ozbh gllm+ Sz} }hj r}ls

blddnqr ik sdnbj nkm olzk} }hj adlbf aj/

}wjjk }hj hjnmr}lbf ajnqikgr+ Hldm n sjk/

bid ik sdnbj lk }hj jkm gqnik }l mqnw n 12 ⁍ =!/

minoj}jq biqbdj lk jnbh jkm+ Ylz bnk }hjk

qjolpj }hj adlbf nkm bhirjd mlwk }l }hjrj

dikjr ” nrrzqjm }hn} ylz hnpj qlzghjm ik

n szddjy sqjbirjdy blkbjk}qib }l }hj rhn`}+

(I}’r fikm l` difj rhll}ikg nqqlwr n} }hj rimj

l` }hj anqk nkm }hjk snik}ikg }hj }nqgj}r

nqlzkm }hjo ” sjq`jb} jpjqy }ioj+)

]hj qlzghjm/ik szddjy ir nalz} }l aj/

bloj ylzq ̀ iqr} }zqkikg ela+ L` blzqrj }hir

ojnkr ylz kjjm n ajd} }l blkkjb} }hj ̀ dy/

whjjd }l }hj szddjy$ nkm rhlq} l` n sqlsjq

ai} l` qlzkm djn}hjq ajd}ikg (rzbh nr zrjm

lk ldm rjwikg onbhikjr) ylz bnk gj} aywi}h > ⁍ =! bl}}lk blqm$ elikjm wi}h n r~znqj

fkl} ̀ lq }hj }ioj ajikg+ Riosdy wqns }hj

qlsj nqlzkm$ szdd i} rjoi/rkzg nkm }ij i}

l``+ R}nq} }qjnmikg nkm }hj qlzghjm ik szd/

djy widd rsik rl }hn} ylz bnk }zqk i} mlwk

}l }hj ̀ ikirhjm riuj$ zrikg ylzq qjgzdnq }zqk/

ikg glzgjr nkm nk iosqlpirjm }lld qjr}+

Lkbj ylz gj} n roll}h sdnbj }zqkjm$ r}ls

nkm olpj }hj qlsj ik}l }hn} rsl}$ qj}yikg

}hj fkl} }igh}jq i` kjbjrrnqy+ @iknddy$ }zqk

n gqllpj ik }hj oimmdj l` }hj szddjy ̀ lq }hj

ajd} }l qimj ik+ Nr wi}h nky dn}hj$ }hj rondd/

jq }hj minoj}jq l` }hj mqipjk szddjy$ }hj

highjq }hj rsjjm nkm }hj dlwjq }hj }lq~zj+

Ylz bnk$ l` blzqrj$ ezr} }qjnmdj ̀ nr}jq lq

rdlwjq$ nkm ylz bnk jnridy }zqk n} lpjq

>$333 qso+

Lkj sjbzdinqi}y l` }hir mjrigk ir }hj

bqlrrjm mqipj blqm whibh bqjn}jr }hj nm/

mi}ilknd sjbzdinqi}y l` }hj ̀ dywhjjd glikg

ik }hj lsslri}j miqjb}ilk nr }hj mqipjk szd/

djy+ ]hj slik} l` }hir bqlrrikg ir }l ikbqjnrj}hj blk}nb} rzq`nbj aj}wjjk }hj ajd} nkm

}hj rondd szddjy+ Wi}hlz} }hj bqlrrjm ajd}$

]hj }wl jkmr l` }hj qlsj ajd} nqj az}}/rsdibjm ay rjwikg anbf nkm ̀ lq}h aj}wjjk }hj }wl sijbjr+ I}

lkdy }nfjr n oikz}j lq }wl wi}h nk zshldr}jqy kjjmdj+Wi}h }ioj nkm zrj }hj qlsj widd r}qj}bh

nkm ylz’dd kjjm }l bz} nkm qj/rsdibj }hj qlsj+

]l rhnqsjk }hj mjnm bjk}jq `lq }hj }nid r}lbf$ Irdissjm }hj anq ik}l }hj mqipj szddjy nkm }igh}/

jkjm i} mlwk wi}h }hj r}ls blddnqr+]hjk i} wnr nriosdj on}}jq l` }zqkikg }hj dn}hj nkm zrikg n

`idj }l ̀ lqo }hj slik}+Kl}j }hj bqlrrjm mqipj blqm lk }hj szddjy whibh ikbqjnrjr }hj blk}nb} lk }hj

szddjy$fjjsikg i} ̀ qlo rdissikg mzqikg zrj+

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lq }hj nmmi}ilk l` nk imdjq szddjy$ }hj mqi/

pjk szddjy wlzdm aj blkr}nk}dy rdissikg+Ylz bnk `zq}hjq qjmzbj rdissikg ay onf/

ikg }hj qlsj r}ibfy wi}h ezr} nalz} nky/

}hikg blk}nikikg rzgnq+ I zrj onsdj ryqzs

wi}h gqjn} rzbbjrr+

Whjk }hj szddjy ir }zqkjm nr roll}h

nr ylz kjjm$ `ikirh i} ay `iqr} mqiddikg }hj

hldjr }hqlzgh i}r rimjr }l gipj nbbjrr }l }hj

rj} rbqjwr ik }hj r}ls blddnqr+ N`}jq }hj

hldjr nqj mlkj nkm }jr}jm$ qzk rloj gdzj

nqlzkm }hj rjn}r ̀ lq }hj r}ls blddnqr nkm$

wi}h }hj rhn`} ik sdnbj$ rj} }hj r}ls blddnqr

anbf ik ̀ lq }hj ̀ iknd }ioj+ Ylz bnk blk/

}ikzj wi}h }hj fkl} ik }hj qlsj }l dj} i}

r}qj}bh nkm zk}id ylz gj} nk imjn l` hlw

ozbh }jkrilk i} kjjmr+ Jpjk}znddy$ }hlzgh$

ylz’dd wnk} }l az}}/rsdibj }hj qlsj+

]nidr}lbf nkm Mjnm Bjk}jq

 Klw `lq }hj rjblkm sijbj l` }zqkikg ”

}hj mjnm bjk}jq ̀ lq }hj }nid r}lbf+ ]hj mjnm

bjk}jq ir ezr} n rhlq} djkg}h l` }hj > ⁍ 1! rhn`}/

ikg wi}h }hj azrikjrr jkm rhnqsjkjm }l n

sqjbirj blkibnd slik}+ ]hj nkgdj l` }hjblkj ir kl} bqi}ibnd$ az} i}r blkbjk}qibi}y

ir+ I` }hj slik} ir }hj djnr} ai} dlsrimjm lq

qlzgh$ i} widd ~zibfdy jkdnqgj i}r blk}nb}

slik} wi}h }hj wllm ajikg }zqkjm nkm widdaj n blkr}nk} rlzqbj l` }qlzadj+ Rl$ n d/

}hlzgh ylz bnk ~zibfdy qlzgh ik }hj slik}

ay ̀ qjjhnkm ̀ idikg$ }hj ̀ iknd rhnsikg kjjmr

}l bloj ̀ qlo olzk}ikg i} ik }hj mqipjk

szddjy$ (aj`lqj ylz bz} i} ik}l }hj 2! djkg}h

}hn} ylz kjjm)$ }igh}jkikg }hj r}ls bld/

dnqr nkm aqikgikg }hj jkm }qzj wi}h ylzq

`idj hjdm ngnikr} }hj rsikkikg slik}+ N`}jq

}hir$ ylz’dd aj nadj }l }jdd `ldfr hlw ylzq

}qjnmdj dn}hj wlqfr ̀ lq }zqkikg oj}nd nr

wjdd+Wlzdm }hn} }hj mqipj bjk}jq wnr nr jnry+

]hj mqipj bjk}jq kjjmr }l gqis }hj jkm l` 

}hj wllm ajikg }zqkjm$ nkm hnr rlojwhn}

}hj rhnsj l` n rsnmj ai}+ Hnpikg nkpidr nkm

`lqgj nalz}$ i} wnr ~zibfjr} ̀ lq oj }l rio/

sdy hjn}$ hnoojq nkm `idj }hj jkm l` }hj

rhn`} ik}l rhnsj+ ]hir ony aj }hj olr}

nwfwnqm snq} l` }hj dn}hj ̀ lq ylz (fim lq

kl}) }l onfj+ Nd}hlzgh ylz bnk bldm hno/

ojq }hj mqipj bjk}jq ik}l rhnsj$ ylz widd

kjjm n gllm qjm hjn} }l onfj }hj rhnqsdy

ajk} bqnkfrhn`} `lq }hj eigrnw n}}nbhojk}+

Oikionddy$ ylz bnk ml }hj ela ylzqrjd` wi}h

n }lqbh$ n hnoojq$ n pirj nkm rloj}hikg

}l zrj `lq nk nkpid+ ]hj sn}h l` wirmlo$

hlwjpjq$ ony aj }l rzsslq} ylzq dlbnd

adnbfroi}h+

Wi}h }hj mqipj bjk}jq ik sdnbj$ ndd }hn}

qjonikr ir }hj }lld qjr}$ whibh bnk aj n ̀ zdd

djkg}h anq qjr}ikg lk lz}qiggjqr n}}nbhjm

}l }hj hjnm nkm }nid r}lbfr$ lq n ronddjq D/

rhnsjm blkr}qzb}ilk n}}nbhjm ay ald} nkm

wikg kz}$ lq al}h+ ]hj }nidr}lbf ir n}}nbhjmwi}h n wjmgj+

]zqkikg

Zrikg }hj dn}hj ir ezr} }hj rnoj nr wi}h nky

l}hjq ndblhld/slwjqjm j~zisojk}+ Qlzgh

ik }hj r}lbf }l nk lb}nglk aj`lqj olzk}/

ikg i} aj}wjjk }hj bjk}jqr$ ajikg rzqj }l

qza rloj ajjrwnx ik }hj hldj ̀ lq }hj mjnm

]hj mqipj bjk}jq ir rhlwk hjqj ajikg `lqojm$wi}h }hj eigrnw bqnkfrhn`} dyikg kjx} }l i}+N`}jq qlzgh rhnsikg$}hj bjk}jq ir `idjm nkm zd}ion}jdy }nfjr lk i}r rsnmj/ai} rhnsj+]hj bjk}jq ir }hjkolzk}jm ik }hj mqipj szddjy ay }igh}jkikg }hjr}ls blddnqr+

1!

1!> 2, =!

>!2, =!

>,1!

>,1!

>!

0!

> >,1!

>8!

>7! 1 >,=! 1 2, =!

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1! >7 2, =! 1 2, =!

11!

>! BD

BD2 2,8!

2, =!> >,1!

2, =!

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1!> 2, =!

>!2, =!

>,1!

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BD 9! minoj}jq bz} lk

 }nadj wi}h n 2! qj}zqkanbf }l }hj anbf aqnbj

2!2, =!>

>

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2, =!

AANN

X U

 Y 

WP Z

Eigrnw

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bjk}jq+ I` ylzq ajnqikgr nqj }ll bhjns nkm

hnpj rl ozbh sdny ik }hjo }hn} }hj wlqf

bhn}}jqr whjk ylz’qj }zqkikg$ ylz bnk blo/

sjkrn}j n ai} ay nmezr}ikg ylzq bz}}ikg r}ydj

}l sz} olqj l` n —szrh‟ ̀ qlo qzaaikg }hj

ajpjd+ Aqlkuj ajnqikgr ony hnpj djrr sdny

}hnk bhjns andd ajnqikgr+ Ylz bnk jpjk

}zqk }hj ajnqikgr rdigh}dy lz} l` r~znqj wi}h

}hj rhn`} }l }igh}jk }hjo zs+

R}idd$ onbhikjr }jkm }l gipj ylz sqla/

djor n} sdnbjr whjqj ol}ilk bhnkgjr mi/

qjb}ilk$ difj whjk bnq jkgikjr —}hqlw n

qlm$‟ }hj blkpjqrilk l` }hj qjbisqlbnd ol/

}ilk l` ylzq ̀ ll} lk }hj }qjnmdj ik}l }hj

ql}nqy ol}ilk l` }hj ̀ dywhjjd ir n sl}jk/

}ind }qlzadj rsl}+ Ezr} nr n bnq kjjmr nbbz/

qn}j }ioikg$ rl }ll mljr }hj ̀ ll} lsjqn}ikg

}hj dn}hj kjjm }ioikg$ nr n rzmmjk r}ls ik}hj ̀ ll} widd ojj} wi}h blkrimjqnadj qj/

rir}nkbj `qlo }hj `dywhjjd$ rknssikg }hj

blkkjb}ilk n} }hj jkm l` }hj }ij qlm+ Ylz

widd mjpjdls blkrimjqnadj jxsjq}irj wi}h

}hir dn}hj$ az} i} ir rl ikpi}ikg ̀ lq l}hjqr }l

}qy }hn} ylz widd hnpj n dl} l` ikjxsjqi/

jkbjm `jj} lk i}$ }hjy widd rkns }hj ald}$

nkm jxbzrj }hjorjdpjr ay onfikg n blo/

ojk} nalz} —wndfikg nkm bhjwikg gzo n}

}hj rnoj }ioj$‟ rl fjjs n `jw rsnqj ald}r

lk hnkm+

 Eigrnw

Nr i` }hir }qjnmdj dn}hj wjqj kl} blld jklzgh$

klw ylz bnk onfj }hj eigrnw n}}nbhojk}

}hn} ri}r n}ls i}+ Bzqilzrdy$ }hj eigrnw ir an/

ribnddy n wny }l blkpjq} }hj ql}nqy ol}ilk

l` }hj ̀ dywhjjd nkm szddjy anbf ik}l qjb/

isqlbn}ikg ol}ilk l` }hj adnmj+ ]hir blk/

pjqrilk qj~ziqjr }hn} ylz dllrjk }hj rj}

rbqjwr ik }hj r}ls blddnqr l` }hj mqipjk szd/

djy$ qjolpj }hj mqipj bjk}jq nkm qjsdnbj

i} wi}h n bqnkfrhn`}+ Zkdjrr ylz nqj

Rzsjqonk$ ylz bnkkl} ajkm }hjrj rhnqs

nkgdjr ik bldm > ⁍ 1! r}jjd rhn`}ikg ” ylz’dd

hnpj }l hjn} i} wi}h n }lqbh nkm ajkm i} ikn pirj+

]hj ̀ qnoj l` }hj eigrnw ir ~zi}j r}qnigh}/

`lqwnqm+ I zrjm aig mlpj}nidr ̀ lq }hj `qlk}

nkm anbf slr}r nr }hj ajr} bloaikn}ilk l` 

r}qjkg}h nkm ~zibf mirnrrjoady+ ]hj nqor

l` }hj eigrnw nqj }hj lkdy sijbjr }hn} nqjk’}

rbqns sikj6 }hjy nqj rbqns lnf ̀ lq r}qjkg}h+

]hjy hnpj }l aj r}qlkg ajbnzrj }hj }zqk/

azbfdj n} }hj qjnq ozr} }jkrilk }hj bls/

ikg rnw adnmj n} }hj `qlk}+

I hnpj rjjk onky hlojonmj eigrnwr

`qlo }hj snr} bjk}zqy$ nkm jpjqy lkj zrjm

}hj adnmj hldmjqr ̀ qlo nk ldm blsikg rnw+

L`}jk }hj onfjq wlzdm ezr} hnbfrnw l`` 

}hj nqor l` }hj blsikg rnw nkm ald} }hjo

lk}l }hj jkmr l` }hj eigrnw nqor+ ]hir hnr

}hj nmpnk}ngj l` nddlwikg ylz }l }zqk }hj

adnmj n} qigh} nkgdjr }l }hj nqor whjk kjb/

jrrnqy ̀ lq bdjnqnkbj+

I}’r ~zi}j n rsjb}nbdj whjk }hir whldj

}hikg ir glikg+ ]hj ̀ dywhjjd dllfr difj

rloj}hikg l`` l` @qjm @dik}r}lkj’r bnq$ }hj

ajnqikgr nqj qn}}dikg$ }hj mqipj qlsj }wnkg/ikg$ nkm }hj eigrnw ezosikg nr ylzq fkjj

gljr zs nkm mlwk+

Az} }hjqj n} }hj azrikjrr jkm$ }hj rnw

bz}r ndlkg ajnz}i`zddy$ }hj dn}hj }zqkr difj

n }ls+ Wlk’} }hj fimr aj sqlzm. SW

]hj }zqkazbfdj ir qigh} l`` }hj rhjd`$wi}h }hjnmmi}ilk l` n dlbf kz} }l lkj l` i}r jyjald}r

(lapilzrdy kl} }hj lkj wi}h }hj dj`} hnkm }hqjnmr)+Wi}hlz} }hj dlbf kz}$ }hj }zqkazbfdj widd 

wlqf dllrj ik rjblkmr+ I ndrl ikrj} n aqlkujajnqikg (rnwk ik}l n > ⁍ 1! djkg}h) ik}l jnbh l` }hjnqor n} }hjiq sipl} slik}r+]hir ir kl} rl ozbh }l

qjmzbj `qib}ilk ik lsjqn}ilk nr i} ir }l fjjs }hjwllm `qlo wjnqikg nkm ngnik dllrjkikg }hj

}jkrilk lk }hj adnmj+

]hj ajk} bqnkfrhn`} ir n}}nbhjm }l }hj eigrnw }hqlzgh n hnkgikg nqon}zqj dikf+]hj olzk} ir

n}}nbhjm }l }hj eigrnw wi}h n sijbj l` r}jjd r}qnssikg rbqjwjm ik}l n rnw fjq` ik }hj olzk}$

nkm n}}nbhjm dllrjdy }l }hj dlwjq eigrnw nqo+

 Nk D/rhnsjm }lld qjr} ir rhlwk hjqj n}}nbhjm ay ald} nkm wikg kz} }l }hj dn}hj `qnoj+]hj }nid/r}lbf ir ajr} n}}nbhjm wi}h n wjmgj+]hir ir }hj

`nr}jr} nkm }hj `iqojr} wny }l olpj nkm olzk}}hj }nidr}lbf+]hj wjmgj gipjr ezr} }hj qigh}—sikbh‟ }l }hj wllm ajikg }zqkjm i` ylz rdigh}dy blbf }hj al}}lo l` }hj }nidr}lbf }lwnqmr }hjbjk}jq aj`lqj }nssikg }hj wjmgj hloj+

2!

2, =!> >,1!

2!

2, =!

9!min+

8 2, =! >1! 1 >, =!12!

9!

Eigrnw ]nadj