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Amqk `m yoym`kimi ih `mq dí}xkemq }xh hdz`hmdoq he `m mayxm`kimi xyk`kvme m`löe qkqyhdm ih ysmeqdkqkñe ih`dorkdkheyo% Hqym ysmeqdkqkñe, he `m dm{osäm ih `oq amqoq, qxh`h ks maodzmýmim ih xe mxdheyo o shixaakñe
ih` eödhso ih shro`xakoehq% Aoe h``o qh mimzym `m rh`oakimi ih lkso ih `oq doyoshq h`ëayskaoq { ih
aodcxqykñe m `mq hwklheakmq ih `oq mzmsmyoq }xh xyk`kvmdoq%
@m heosdh ameykimi ih dí}xkemq ih }xh ikqzoeh h` qhs gxdmeo he `m mayxm`kimi ykheh qx osklhe he `oq
xyheqk`koq ashmioq, he `oq m`coshq ih `m Gkqyoskm, zos h` Godo qmzkheq bmchs 'exhqyso meyhzmqmio zheqmeyh {
bmcskameyh+%
Osklkemskmdheyh qh `kdkymcme m xyheqk`koq o keqysxdheyoq }xh `h zhsdkykhqhe qocshrkrks bsheyh m mekdm`hq
ihzshimioshq aoe `oq }xh aodzhyäm% Hqyoq xyheqk`koq hsme gmagmq, `mevmq, axagk``oq, hya% Lsmakmq m h``oq,
bxkdoq amzmahq ih bmcskams ihqzxëq dí}xkemq díq aodz`hfmq%
M``í zos h` mýo 1%8:: m%A%, he Dhqozoymdkm 'mayxm` Ksm}+, {m qh aoeoaäme `o }xh `oq meyklxoq bk`ñqoboq
iheodkemsoe ‐`mq akeao dí}xkemq qkdz`hq—6 `m axým, h` z`meo kea`kemio, h` yosek``o, `m sxhim { `m zm`meam%
Yoimq `mq dí}xkemq }xh hdz`hmcme qh bmcskamcme m zmsyks ih ëqymq o dhikmeyh xem aodckemakñe ih h``mq%
Mihdíq, `mq yshq zskdhsmq hqyíe dx{ sh`makoemimq heysh qä%
@m ehahqkimi ih dí}xkemq díq aodz`hfmq ``hrñ m akhsyoq lhekoq, m zmsyks ih` Shemakdkheyo, m `m shaozk`makñe
h kerheakñe ih exhroq dhamekqdoq% Amch ihqymams `oq qklxkheyhq6
3
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@hoemsio im Rkeak 'Kym`km, mýo =2::+% Shaozk`m h kerheym dx̀ ykyxi ih dhamekqdoq ih yoioykzo% @m dm{osäm hqyíe shaozk`mimq he xeoq dmexqaskyoq ihzoqkymioq he `m Ckc`koyham Emakoem` ih Dmiski
'Añihw K { KK+%
Agskqyozghs Zo`ghd 'Qxhakm, mýo =2;2+% Shaozk`m h kerheym gmqym xe yoym` ih 7: dí}xkemq
qkdz`hq 'dhamekqdoq+, }xh dmeim aoeqysxks he bosdm ih zsoyoykzoq% M hqyh aoefxeyo ih dhamekqdoq `h
iheodkem m`bmchyo dhaíekao, he h` }xh `mq akeao dí}xkemq qkdz`hq ih `m Meyklðhimi qoe `mq roam`hq { h` shqyo
`mq aoeqoemeyhq% Qhlöe ë`, m zmsyks ih hqyoq dhamekqdoq qh zoisäm bosdms axm`}xkhs dí}xkem aodz`hfm, m` klxm`
}xh aoe `mq roam`hq { `mq aoeqoemeyhq qh bosdme bsmqhq%
Aoeqyhiy 'Qxhakm, mýo =<3;+% Mdz`äm h` m`bmchyo dhaíekao gmqym =:1%
Gmaghyyh 'Bsmeakm, mýo =7==+% Gmah xem a`mqkbkamakñe bxeakoem` ih yoioq `oq dhamekqdoq
aoeoakioq gmqym heyoeahq, myheikheio m `m `mcos }xh shm`kvme iheyso ih `m dí}xkem m `m }xh zhsyhehahe% Hqym
bosdm ih mem`kvms `oq dhamekqdoq ih dí}xkemq gm ``hlmio gmqym exhqysoq iämq, { hq `m qklxkheyh6
He `m mayxm`kimi, h` eödhso ih dhamekqdoq hwkqyheyhq hq heosdh, {m }xh qh aodckeme ikqzoqkykroq dhaíekaoq,
h`ëayskaoq, h`haysñekaoq, ehxdíykaoq, hya%, zmsm ozykdkvms qx hbkakheakm%
Shahzyoshq6 Qoe `oq h`hdheyoq }xh shakche h` dorkdkheyo ih xe doyos zskdmsko%
Shlx`mioshq6 Keyhssxdzhe o eo h` zmqo ih hehsläm heysh ikqykeyoq dhamekqdoq> zos
hfhdz`o, hdcsmlxhq, amfm ih rh`oakimihq, hya%
Aodxekamioshq6 Heamslmioq ih ysmeqdkyks h` dorkdkheyo%
Doikbkamioshq6 Ysmeqbosdme xe ykzo ih dorkdkheyo he oyso%
Ozhsmioshq6 Qoe m}xh``oq dhamekqdoq }xh zsoixahe xe hbhayo bkem`%
Dí}xkemq qkdz`hq
ih ̀ m meyklðhimi%
=3%=% Cshrh keysoixaakñe gkqyñskam qocsh `mq dí}xkemq
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=3%3% Dí}xkemq o qkqyhdmq yëaekaoq
M H`hdheyoq doyskahq% Qoe `oq heamslmioq ih zsozosakoems `m hehsläm ehahqmskm zmsm }xh
qh zsoixvam h` dorkdkheyo% Ihzheikheio ih` ykzo ih hehsläm mzsorhagmim, `oq h`hdheyoq
doyskahq qh zxhihe a`mqkbkams he doyoshq zskdmskoq { doyoshq qhaxeimskoq%
Doyoshq zskdmskoq% Hqyoq doyoshq smsmdheyh zsozosakoeme hehsläm ikshaymdheyh
m `m dí}xkem% Qh `kdkyme m ysmeqbosdms`m, lhehsm`dheyh he hehsläm h`ëayskam, zmsm }xh
zxhim qhs xqmim zos xe doyos qhaxeimsko% @m dm{os zmsyh ih hqyoq ‐doyoshq—, mqä aodo
`m hehsläm xyk`kvmim qh gme rkqyo he yhdmq meyhskoshq { qoe hehsläm gkisíx`kam, hñ`kam,
qo`ms, exa`hms, }xädkam { ih aolhehsmakñe% Doyos Qyks`kel%
Yoimq `mq dí}xkemq qxh`he hqyms aodzxhqymq zos zmsyhq bkfmq { dñrk`hq% Axmeio qh `hq qxdkekqysm hehsläm m `mq
zmsyhq dñrk`hq, ihqaskche dorkdkheyoq zshhqymc`hakioq { shzhykykroq%
@mq dí}xkemq hqyíe aodzxhqymq zos ioq zmsyhq bxeimdheym`hq iheodkemimq h`hdheyoq doyskahq { h`hdheyoq ih
dí}xkemq 'dhamekqdoq+%
Doyoshq qhaxeimskoq% Qoe m}xh``oq ax{m hehsläm ih qm`kim maakoem `mq dí}xkemq ikshaymdheyh% @mq hehslämq
hdz`hmimq he `oq doyoshq qhaxeimskoq qoe6
Hehsläm dxqax`ms% 'Zsoahiheyh ih mekdm`hq o zhsqoemq+% Hfhdz`oq6 amsso ih amcm``oq, fmsikehso aoe amsshyk``m, m`cmýk`qxckheio amslmq dmexm`dheyh, hya%
Hehsläm yësdkam% Ocyhekim m` }xhdms m`löe aodcxqykc`h% Ihzheikheio ih }xh ëqym qh shm`kah iheyso o bxhsm ih`
ak`keiso, yhehdoq6
m+Doyoshq ih aodcxqykñe hwyhsem% H` díq aoeoakio hq `m `oaodoyosm ih rmzos% Xe doyos aoe lsme bxyxso zhso eo
dx{ aoeoakio hq h` doyos Qyks`kel% 'Shm`kvm xe msyäax`o qocsh h` doyos Qyks`kel, cxqameio kebosdmakñe he Keyhsehy+%
c+ Doyoshq ih aodcxqykñe keyhsem% Hfhdz`o6 doyoshq ih lmqo`kem, ikhqh`, yxscosshmayoshq, hya%
Hehsläm h`ëayskam% @oq díq aoeoakioq qoe h` doyos h`ëayskao { h` h`haysokdíe%
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C H`hdheyoq ih dí}xkemq
Ihzheikheio ih qx bxeakoemdkheyo { ih `m hehsläm xyk`kvmim, qh zxhihe a`mqkbkams he yshq lsmeihq lsxzoq6 h`hdheyoq dhaíekaoq,
h`ëayskaoq/h`haysñekaoq { ehxdíykaoq/ñ`ho$gkisíx k̀aoq%
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=3%9% Maoz`mdkheyoq heysh ísco`hq
Ísco` ih ysmeqdkqkñe6 hqyí qodhykio myosqkñe%
Hfh6 qo`mdheyh qozosym h` zhqo ih `mq zo`hmq%
Ihqih h` zxeyo ih rkqym dhaíekao, hq aoerhekheyh ikbhsheakms heysh ísco`hq { hfhq%
Axmeio hq ehahqmsko ysmeqdkyks xe
dorkdkheyo heysh ioq zxeyoq dx{ ikqymeyhq,
qh zxhihe hdz`hms ísco`hq ih ysmeqdkqkñe
dx{ `msloq '}xh shqx`yme amsoq+ o rmskoq
aosyoq, maoz`mioq heysh qä%
Ihzheikheio ih `mq aoeikakoehq ih
ysmeqdkqkñe, qh hdz`hme ioq ykzoq ih
maoz`mdkheyo6 sälkio { dñrk` % He mdcoq
amqoq qh ysmym ih maoz`mdkheyoq
ihqdoeymc`hq, {m }xh meyh axm`}xkhs soyxsm
o bm``o qh bmak`kym xe amdcko ih dmehsm
qheak``m%
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Maoz`mdkheyo sälkioheysh ísco`hq%
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Maoz`mdkheyo dñrk` heysh
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=3%8% Ysmeqdkqkñe zos sxhimq ih bskaakñe
Ysmeqdkqkñe ih zoyheakm qke ihq`kvmdkheyodhikmeyh sxhimq ih bskaakñe hwyhskoshq%
Aoeqkqyh he ysmeqdkyks h` dorkdkheyo heysh ioq sxhimq lsmakmq m `m bxhsvm
ih sovmdkheyo% Zmsm h``o, `mq voemq ih aoeymayo ihche hqyms bmcskamimq ih
xe dmyhskm` aoe m`yo aohbkakheyh ih sovmdkheyo, aoe ocfhyo ih hrkyms }xh
ihq`kahe o zmykehe%
Mihdíq, mdcmq sxhimq ihche hqyms bxhsyhdheyh zshqkoemimq xem aoeysm `m
oysm% @m bxhsvm mwkm` 'Bw+ aoe `m }xh qh ihch zshqkoems hq `m qklxkheyh6
Hfhdz`o =6
Am`ax`m `m bxhsvm Bw ehahqmskm zmsm }xh eo qh zsoixvam ihq`kvmdkheyo qk `m zoyheakm m ysmeqdkyks hq ih :,<8 AR, h`
smiko ih `m sxhim =::dd, e 4 7:: szd { h` aohbkakheyh ih sovmdkheyo ¸ 4 :,8% 'Qo`xakñe6 =1=,2 E+
@m ysmeqdkqkñe ih` dorkdkheyo zos bskaakñe qh zxhih shm`kvms ih ioq dmehsmq, ihzheikheio ih `m qhzmsmakñe ih `oq
ísco`hq o hfhq heysh `oq }xh qh }xkhsh ysmeqdkyks h` dorkdkheyo% Zmsm qhzmsmakoehq zh}xhýmq, qh hdz`hme sxhimq ih
bskaakñe hwyhskoshq, keyhskoshq { añekamq, dkheysmq }xh zmsm lsmeihq qhzmsmakoehq qh hdz`hme aosshmq ysmzhvokim`hq,
z`memq { shioeimq%
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M Sxhimq ih bskaakñe hwyhskoshq
Ikqymeakm heysh hfhq%Sxhimq ih bskaakñe { qxq
zmsídhysoq kdzosymeyhq%
Hqyíe bosdmimq zos ioq ikqaoq }xh qh heaxheysme he aoeymayo zos qxq zhskbhskmq% H`
aoeymayo qh shm`kvm zos zshqkñe, ih bosdm }xh `m sxhim aoeixayosm 'M+ gmah lksms m `m
aoeixakim 'C+%
@m sxhim }xh ysmeqdkyh h` dorkdkheyo 'lhehsm`dheyh `m díq zh}xhým+ shakch h`
eodcsh ih zkýñe { `m aoeixakim shakch h` eodcsh ih sxhim%
Zos aoerheko, yoioq `oq zmsídhysoq shbhskioq m` zkýñe qh hqaskche he dkeöqax`m { `oq
shbhskioq m `m sxhim aoe dm{öqax`m%
Rkheh imim zos `m qklxkheyh hwzshqkñe6
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Sh`makñe ih ysmeqdkqkñe%
Rh`oakimi ymelheakm`%
Zmsykheio ih` zskeakzko ih }xh eo hwkqyh ihq`kvmdkheyo 'r 4 R+, zoihdoq mqhlxsms }xh `m rh`oakimi ymelheakm` ih`
zkýñe { ih `m sxhim, he h` zxeyo ih aoeymayo, hq `m dkqdm { rm`h6
Hfhdz`o 36 Ioq sxhimq ih bskaakñe lksme heysh qä qke ihq`kvmdkheyo% Qmckheio }xh `m sh`makñe
ih ysmeqdkqkñe rm`h k 4 =/9 { }xh `m ikqymeakm heysh hfhq hq ih 9:: dd,
ihyhsdkem h` ikídhyso ih mdcmq sxhimq% 'Qo`xakñe6 29: dd { =2: dd%+
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A Sxhimq ih bskaakñe ysoeaoañekamq
Sxhimq ih bskaakñe ysoeaoañekamqbosdmeio xe íelx`o shayo%
Qh amsmayhskvme zos}xh qksrhe zmsm ysmeqdkyks h` dorkdkheyo heysh hfhq ax{mq
zso`oelmakoehq qh aosyme% Ykhehe `m bosdm ih ysoeao ih aoeo, ym` { aodo qh
dxhqysm he `m bklxsm% He axm`}xkhs zxeyo ih aoeymayo ih mdcmq sxhimq, qx
rh`oakimi ymelheakm` hq kiëeykam, dmeyhekëeioqh `mq dkqdmq haxmakoehq ih `m
sh`makñe ih ysmeqdkqkñe hqyxikmimq meyhskosdheyh%
Mihdíq, ocqhsrmdoq }xh
Zos `o }xh6
Hfhdz`o 96
Xem dí}xkem ikqzoeh ih ioq sxhimq ih bskaakñe ysoeaoañekamq zmsm ysmeqdkyks h` dorkdkheyo ihqih h` doyos '}xh lksm
m =%3:: szd { qh maoz`m ikshaymdheyh m` zkýñe+ gmqym h` ísco` bkem`, ax{o eödhso ih shro`xakoehq ihch qhs ih =%:::
szd% Am`ax`m h` ikídhyso ih `m sxhim aoeixakim qk h` zkýñe hq ih 8: dd% 'Qo`xakñe6 2: dd+
Hfhdz`o 86
Qh ihqhm hbhayxms xem sh`makñe ih ysmeqdkqkñe ysoeaoañekam dhikmeyh sxhimq ih bskaakñe, ax{m sh`makñe ih
ysmeqdkqkñe hq k 4 =/8% Qmckheio }xh h` zkýñe o sxhim aoeixayosm lksm m ;:: szd, am`ax`m6 m+ h` íelx`o }xh bosdme `oq
hfhq aoe `mq zso`oelmakoehq ih `m qxzhsbkakh ih soimixsm> c+ h` eödhso ih shro`xakoehq ih `m sxhim aoeixakim% 'Qo`xakñe6
m%+ ν 4 <7,<¶ { γ 4 ==,1¶> c%+ E 4 =7: szd+
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=8
I Ysmeqdkqkñe dhikmeyh zo`hmq { aosshmq
Zo`hmq { aosshm%
Sh`makñe ih ysmeqdkqkñe
Ioeih s hq h` smiko ih `m zo`hm aoeixayosm { S h`
smiko ih `m aoeixakim%
Qh iheodkem zo`hm m `m sxhim }xh qh xyk`kvm he `mq ysmeqdkqkoehq zos dhiko ih aosshm, { aosshm m `m akeym o axhsim
b`hwkc`h xekim m qxq hwyshdoq }xh qksrh zmsm ysmeqdkyks h` dorkdkheyo ih lkso heysh xem sxhim { oysm%
Xem ysmeqdkqkñe zos aosshm aoeqym, m` dheoq, ih ioq zo`hmq { xem aosshm%
Hqyh ykzo ih ysmeqdkqkñe qh hdz`hm díq }xh `mq sxhimq, {m }xh ykheh xem
dm{os qxzhsbkakh ih bskaakñe { zxhih ysmeqdkyks dm{oshq hqbxhsvoq% Zmsm
}xh h` sheikdkheyo qhm ñzykdo, `mq aosshmq ihche hqyms yheqmimq
mihaxmimdheyh, hfhsakheio `m bxhsvm mwkm` mihaxmim%
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=2
Ykzoq ih zo`hmq { aosshmq%
Zskeakzm`hq ykzoq ih zo`hmq { aosshmq%
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=3%2% Ysmeqdkqkñe zos helsmemfhq
Hfh6 Sh`makñe heysh helsmemfhq { sxhimq ih bskaakñe%
Qh hdz`hme axmeio gm{ }xh ysmeqdkyks lsmeihq hqbxhsvoq o qh
ihqhm }xh `m sh`makñe ih ysmeqdkqkñe qh dmeyhelm qkhdzsh
aoeqymeyh% Aoeqym ih ioq sxhimq m `mq }xh qh `hq gme ym``mio xem
qhskh ih ikheyhq% M` klxm` }xh oaxssäm aoe `mq sxhimq ih bskaakñe,
m` helsmemfh aoeixayos qh `h aoeoah aoe h` eodcsh ih zkýñe { m`aoeixakio aodo sxhim%
Xe zms ih helsmemfhq, m hbhayoq yhñskaoq { ih aí`ax`o, qh zxhihe
aoeqkihsms aodo ioq sxhimq ih bskaakñe hwyhskoshq ax{oq
ikídhysoq aokeakihe aoe `oq zskdkykroq ih `oq helsmemfhq%
@oq helsmemfhq qh zxhihe xqms zmsm ysmeqdkyks h` dorkdkheyo
heysh ísco`hq6 zmsm`h`oq, zhszheikax`mshq { ísco`hq }xh qh
asxvme%
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M Ysmeqdkqkñe heysh ísco`hq o hfhq zmsm`h`oq%
Eosdm`dheyh, h` ym``mio ih `oq ikheyhq qh gmah qocsh `m qxzhsbkakh hwyhskos% Axmeio xeo ih h``oq hqyíym``mio zos qx zmsyh keyhsem, m` aoefxeyo ih sxhimq qh `h iheodkem helsmemfhq keyhskoshq% @oq ikheyhq
ih `mq sxhimq zxhihe qhs ikheyhq shayoq, ikheyhq gh`kaokim`hq { ikheyhq he R %
Helsmemfhq ih ikheyhq shayoq% Qoe bíak`hq ih bmcskams, zhso ykhehe h` keaoerhekheyh ih
qhs dx{ sxkioqoq { zsoixaks rkcsmakoehq% Qh hdz`hme axmeio `m zoyheakm }xh qh rm m ysmeqdkyks {
h` eödhso ih shro`xakoehq aoe }xh lksme eo hq dx{ lsmeih% @mq amsmayhsäqykamq ih `oq
helsmemfhq ih ikheyhq shayoq qoe6
Ykzo ih aksaxebhsheakm6
$ Aksaxebhsheakm zskdkykrm% Ih smiko Sz zmsm `m sxhim { s z zmsm h` zkýñe, aokeakih aoe `m aksaxebhsheakm ih `mqsxhimq ih bskaakñe%
$ Aksaxebhsheakm keyhskos% @kdkym `oq ikheyhq zos `m zmsyh keyhskos% Qh shzshqheym dhikmeyh Sk zmsm `m sxhim { s k
zmsm h` zkýñe%
$ Aksaxebhsheakm hwyhskos% @kdkym `oq ikheyhq zos `m zmsyh hwyhsem% Qh keikam dhikmeyh Sh zmsm `m sxhim { s h zmsm
h` zkýñe%
Dñix`o 'd+% Hq xe rm`os amsmayhsäqykao ih `mq sxhimq iheymimq }xh qh hwzshqm he dk`ädhysoq% Qh ihbkeh aodo
h` rm`os ih` ikídhyso ih xem aksaxebhsheakm }xh ykheh aodo `oelkyxi h` rm`os ih` zmqo% Hq ihaks6
z 4 ϊ ¼ d%
Bosdm { amsmayhsäqykamq ih `oqhelsmemfhq ih ikheyhq shayoq%
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=;
Sh`makñe ih ysmeqdkqkñe% @m sh`makñe ih ysmeqdkqkñe zmsm `oq helsmemfhq hq `m dkqdm }xh zmsm `mq
sxhimq ih bskaakñe% Rhmdoq axíeyo rm`h he bxeakñe ih` eödhso ih ikheyhq%
@`mdmshdoq Vz m` eödhso ih ikheyhq ih` zkýñe, { V s m` eödhso ih ikheyhq ih `m sxhim { zmqo 'z+ m `m `oelkyxi
ih` msao aosshqzoeikheyh m `m aksaxebhsheakm zskdkykrm }xh mcmsam xe lsxhqo 'q+ { xe gxhao ih ikheyh '|+% Qh
ykheh6
@oelkyxi ih `m aksaxebhsheakm zskdkykrm ih` zkýñe 4 ϊ ¼ iz4 z ¼ V
z4 3 ¼ ϊ ¼ s
z
@oelkyxi ih `m aksaxebhsheakm zskdkykrm ih `m sxhim 4 ϊ ¼ Iz4 z ¼ V
s 4 3 ¼ ϊ ¼ S
z
Ikrkikheio dkhdcso m dkhdcso { sh`makoeíeio`o aoe `mq sxhimq ih bskaakñe, }xhimsí6
Amsmayhsäqykamq ih` ikheyhq%
Rm`os ih `oq ikídhysoq% @mq bñsdx`mq kea`xkimq he `m ymc`m qklxkheyh, sh`makoeme `oq ikídhysoq he
bxeakñe ih` dñix`o { h` eödhso ih ikheyhq%
Lhehsmakñe yhñskam ih` zhsbk` ih xe ikheyh { m`lxemqamsmayhsäqykamq%
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3:
Helsmemfhq ih ikheyhq gh`kaokim`hq%
Helsmemfhq ih ikheyhq he R%
Helsmemfhq gh`kaokim`hq%
Helsmemfhq ih ikheyhq he R%
Qh amsmayhskvme zos yhehs qxq ikheyhq kea`kemioq shqzhayo ih qx hfh% @m
bosdm ysmeqrhsqm` ih` ikheyh hq hwmaymdheyh klxm` }xh he h` amqo ih `oq
ikheyhq shayoq%
Ykhehe `m zmsykax`mskimi ih hqyms helsmemeio rmskoq ikheyhq m `m rhv% Hqyo
im `xlms m }xh h` hqbxhsvo ih b`hwkñe qh shzmsym heysh h``oq ixsmeyh `m
ysmeqdkqkñe, aoe `o }xh gm{ dheoq zoqkck`kimihq ih soyxsm { dheoq
sxkioq { rkcsmakoehq% Qoe kiñehoq zmsm ysmeqdkyks lsmeihq zoyheakmq {
zmsm bxeakoems m lsme eödhso ih shro`xakoehq%
@oq öekaoq keaoerhekheyhq qoe }xh shqx`yme díq amsoq, {m }xh qoe díq
ikbäak`hq ih bmcskams, { }xh zsoixahe bxhsvmq mwkm`hq 'qh zxhih
aodzheqms ao`oameio soimdkheyoq mwkm`hq he h` hwyshdo ih` ísco`+, zos `o }xh he `m ysmeqdkqkñe ih` dorkdkheyo qh zkhsih zoyheakm%
Aoe ocfhyo ih aodzheqms `mq bxhsvmq mwkm`hq, qh hdz`hme ioq
helsmemfhq ax{oq ikheyhq bosdme xe íelx`o aodz`hdheymsko, }xh qh
xehe heysh qä bosdmeio xe helsmemfh he R%
Hfhdz`o 26
Am`ax`m `mq ikdheqkoehq ih xem sxhim iheymim ih ikheyhq shayoq,qxzoekheio }xh ykheh 2: ikheyhq { xe dñix`o d 4 2%Qo`xakñe6
M`yxsm ih miiheixe 4 g= 4 d 4 2dd
M`yxsm ih ihiheixd 4 g3 4 =,38 ¼ d 4 <,8:dd%
M`yxsm ih` ikheyh 4 g= . g3 4 2 . <,8: 4 =1,8:dd%
@oelkyxi ih` ikheyh 4 c 4 =: ¼ d 4 2:dd%
Zmqo 4 z 4 ϊ ¼ d 4 1,=9 ¼ 2 4 =7,79dd%
Ikídhyso zskdkykro 4 Iz 4 d ¼ Vs 4 2 ¼ 2: 4 12:dd%
Ikídhyso hwyhskos 4 Ih 4 d ¼ 'Vs . 3+ 4 2 ¼ '2: . 3+ 4 1<3dd%
Ikídhyso keyhskos 4 Ik 4 d ¼ 'Vs ‑ 3,8+ 4 2 ¼ '2: ‑ 3,8+ 4 198dd%
Lsxhqo ih` ikheyh 4 q 4 '=;/9:+ ¼ z 4 '=;/9:+ ¼ =7,79 4 7,;8dd%
Gxhao ih` ikheyh 4 \ 4 '3=/9:+ ¼ z 4 '3=/9:+ ¼ =7,79 4 ;,;:dd%
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3=
Helsmemfhq hzkaka`okim`hq%
Qh aodzoehe ih xem aosoem iheymim keyhskosdheyh, xe zkýñe aheysm`
'iheodkemio z`mehymsko+ { oysoq yshq zkýoehq díq zh}xhýoq, `oq axm`hq
helsmeme aoe h` z`mehymsko { aosoem, }xh qh iheodkeme qmyë`kyhq% Hqyoq
qmyë`kyhq lksme `kcshq qocsh qxq hfhq, }xh hqyíe xekioq m` zosymqmyë`kyhq% Qk
maoz`mdoq xeo ih `oq h`hdheyoq m xe hfh doyskv { dmeyhehdoq bkfo oyso, he h`
yhsahso ocyheishdoq h` dorkdkheyo ih qm`kim%
M` qhs dö`ykz`hq `mq aodckemakoehq, zoihdoq ocyhehs xe lsme mcmekao ih
zoqkck`kimihq aoe amsmayhsäqykamq yoym`dheyh ikqykeymq% Zos hfhdz`o, qk qh bkfm `m
aosoem { qh gmah lksms h` z`mehymsko, `oq qmyë`kyhq lksmsíe qocsh `m aosoem,
mssmqysmeio h` hfh zosymqmyë`kyhq m dheos rh`oakimi { he h` dkqdo qheykio% Hqyh
ykzo ih helsmemfh qh hdz`hm dxago he m`lxemq aheysm`hq gkisoh`ëayskamq zmsm
mxdheyms { shlx`ms h` eödhso ih shro`xakoehq ih` ísco` }xh mssmqysm h`
m`yhsemios%
Rhs b`mqg qocsh helsmemfhq z`mehymskoq 'zshlxeyms he a`mqh+%
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C Ysmeqdkqkñe heysh hfhq zhszheikax`mshq }xh qh aosyme
Helsmemfhq añekaoq%
Mz`kamakñe ikshaym ih ̀ oqhelsmemfhq añekaoq%
Qh hdz`hme ioq ykzoq ih helsmemfhq6 helsmemfhq añekaoq ih ikheyhq shayoq { helsmemfhq añekaoq ih ikheyhqgh`kaokim`hq% Hqyoq ö`ykdoq qoe dx{ aodz`kamioq ih shm`kvms, zhso dx{ qk`heakoqoq%
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A Ysmeqdkqkñe heysh hfhq zhszheikax`mshq }xh qh asxvme
Qo`xakoehq zmsm ̀ m ysmeqdkqkñe heysh hfhq zhszheikax`mshq }xh qh asxvme%
Qh hdz`hme yshq qo`xakoehq6 yosek``o qke bke$aosoem, gkzokih { helsmemfhq gh`kaokim`hq%
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Hfhsakakoq%
=¶% Ihyhsdkem axí` qhsí `m díwkdm rh`oakimi 'szd+ aoe }xh zxhih lksms h` zkýñe ih xem ysmeqdkqkñe dhikmeyh sxhimq
ih bskaakñe keyhskoshq 's 4 8ad+, qk `m zoyheakm m ysmeqdkyks hq ih :,3 AR, `m bxhsvm mwkm` shm`kvmim hq ih 38 nl { h`aohbkakheyh ih sovmdkheyo ¸ 4 :,18% 'Qo`xakñe6 13<,9: szd+%
3¶% Zmsm h` maakoemdkheyo ih xem dí}xkem qh gme ikqzxhqyo ioq sxhimq ih bskaakñe hwyhskoshq ax{oq hfhq qh
heaxheysme qhzmsmioq 2::dd% Qmckheio }xh `m sh`makñe ih ysmeqdkqkñe hq ih k 4 ´ { }xh hq maakoemio ikshaymdheyh
zos xe doyos }xh lksm m =%3:: szd, am`ax`m6 m%+ h` ikídhyso ih `mq ioq sxhimq> c%+ h̀ eödhso ih szd aoe }xh lksmsí `m
sxhim aoeixakim% 'Qo`xakñe6 m+ i 4 9::dd> I 4 7::dd> c%+ E 4 2:: szd+%
1¶% H` zkýñe ih xe zms ih sxhimq ih bskaakñe keyhskoshq ykheh xe ikídhyso ih 8:dd { mssmqysm m xem sxhim ax{o
ikídhyso hq ih 8:: dd% Qk ikago zkýñe lksm m =%9:: szd, am`ax`m6 m%+ `m sh`makñe ih ysmeqdkqkñe> c%+ h` eödhso ih szd
aoe }xh lksmsí `m sxhim aoeixakim> a%+ `m ikqymeakm heysh qxq hfhq% 'Qo`xakñe6 k 4 = / =:> E 4 =9: szd> H 4 338 dd+%
9¶% Qmckheio }xh xe helsmemfh hq ih dñix`o 1 { ykheh 1: ikheyhq, ihyhsdkem6 m%+ zmqo> c%+ ikídhyso keyhskos> a%+
ikídhyso hwyhskos% 'Qo`xakñe6 m%+ ;,93dd> c%+ 73,8dd> a%+ ;2dd%+%
8¶% Qxzoekheio }xh `m sxhim ih` hfhdz`o 2 helsmeh aoe xe zkýñe ih Vz
4 9: ikheyhq }xh lksm m e 4 =%8:: szd,
ihyhsdkem6 m+ eödhso ih shro`xakoehq aoe }xh lksmsí `m sxhim> c+ ikqymeakm heysh hfhq> a+ ikídhyso hwyhskos ih` zkýñe%'Qo`xakñe6 m+ E 4 =%::: szd> c+ H 4 1::dd> a+ i
h4 383dd%+%
2¶% Am`ax`m `m sh`makñe ih ysmeqdkqkñe ih xe zms ih helsmemfhq he h` }xh h` zkýñe ykheh 8: ikheyhq { `m sxhim ykheh 1:%
Hwz`kam zos }xë h` hfh aoeixakio lksm díq ihzskqm o ihqzmako }xh h` hfh aoeixayos% 'Qo`xakñe6 k 4 =,2<+%
<¶% Xe zkýñe, ax{o dñix`o hq ih 3 dd { qx ikídhyso zskdkykro hq ih ;: dd, helsmem aoe xem sxhim ih 2: ikheyhq%
Am`ax`m6 m+ eödhso ih ikheyhq ih` zkýñe> c+ ikídhyso zskdkykro ih `m sxhim> a+ rh`oakimi ih `m sxhim qk h` zkýñe lksm m
=%::: szd% 'Qo`xakñe6 m+ Vz4 98> c+ I
z4 =3: dd> a+ E 4 <8: szd+%
39
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38
=3%<% Amihemq akehdíykamq
M Shzshqheymakñe lsíbkam
Amihemq akehdíykamq%
M amim xeo ih `oq zmshq ih helsmemfhq aossh`mykroq qh `h iheodkem yshe ih helsmemfhq%
Hwkqyh xem qkdco`oläm zmsm amim xeo ih `oq h`hdheyoq ih dí}xkemq% Hq ehahqmsko ihqymams }xh `oq helsmemfhq
qh ikcxfme dhikmeyh xe shayíelx`o o aäsax`o he ax{o keyhskos qh ao`oam xem W, zmsm keikams }xh hqyí bkfo m` ísco`, o
xem `äehm kea`kemim, zmsm qhým`ms }xh qh zxhih ihqz`mvms `oelkyxikem`dheyh 'lksmeio ymdckëe aoe h` ísco`+%
@mq amihemq akehdíykamq qxh`he hqyms bosdmimq zos rmskoq ísco`hq% Amim ísco` qh keikam dhikmeyh xe eödhso
sodmeo% @oq helsmemfhq qh shzshqheyme dhikmeyh `m `hysm V qhlxkim ih xe qxcäeikah, }xh zmsm `oq helsmemfhq
aoeixayoshq 'zkýoehq+ qhsí kdzms { zmsm `oq aoeixakioq 'sxhimq+ qhsí zms%
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32
C Aí`ax`oq
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A Amfm ih rh`oakimihq
Hfhdz`o <6 amfm ih rh`oakimihq
aoe helsmemfhq ihqz`mvmc`hq%
Hfhdz`o 76 amfm ih rh`oakimihq aoeaxmyso ísco`hq ih ysmeqdkqkñe { yshq
zmshq ih helsmemfhq bkfoq%
Hfhdz`o <6
Qk h` eödhso ih ikheyhq ih amim xeo ih `oq helsmemfhq hq h` }xh qhdxhqysm he `m bklxsm { h` eödhso ih shro`xakoehq ih` doyos hq ih =%7::,
ihyhsdkem h` eödhso ih shro`xakoehq zmsm h` ísco` KKK, ihzheikheio ih `m
aodckemakñe ih helsmemfhq%Qo`xakñe6 Ihzheikheio ih `mq aodckemakoehq, `mq zoqkc`hq qo`xakoehq qoe 3%=2: szd>
1:7,8<szd> 2%::: szd { 78<,=9 szd%
Hfhdz`o 76
Xem amfm ih rh`oakimihq ikqzoeh ih axmyso ísco`hq ih ysmeqdkqkñe { yshqzmshq ih helsmemfhq bkfoq% Qmckheio }xh `mq sh`makoehq ih ysmeqdkqkñe
heysh `oq yshq hfhq qoe kK$KK 4 =/3> kKK$KKK 4 =/1> kKKK$KR 4 =/8, am`ax`m h` eödhso ih
shro`xakoehq aoe }xh lksm h` ísco` KR, qk E= 4 =%3::szd%
Qo`xakñe6 9: szd%
Hfhsakako6
Ihyhsdkem `oq ikbhsheyhq eödhsoq ih shro`xakoehq }xh qh ocyheisíe he h` ö`ykdo ísco` ih xem amfm ih rh`oakimihq qk
ikqzoeh ih ioq ísco`hq% He h` ísco` eödhso K hqyíe `oq helsmemfhq V= 4 9: { V3 4 7: { h` doyos, }xh lksm m 7:: szd%
He h` ísco` eödhso KK gm{ xe zms ih helsmemfhq ihq`kvmeyhq aoe `oq qklxkheyhq ikheyhq6 V3 4 =:: { V9 4 2: ikheyhq%
Qo`xakñe6 E3= 4 13: szd> E33 4 =%:22,2< szd%
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37
=3%7% Sh`makñe heysh zoyheakm { zms
Hfhdz`o ;6
Am`ax`m h` zms ysmeqdkykio m `mq sxhimq ih xe rhgäax`o, axmeio lksme m 7:: { 3%::: szd, qk `m zoyheakm ih` doyos hq
ih <: AR { eo gm{ zësikimq ih zoyheakm% Qo`xakñe6 2=9,=9 E¼d> 398,22 E¼d%
Hfhdz`o =:6
Ihyhsdkem `m bxhsvm ehahqmskm }xh gmcsäm }xh shm`kvms qocsh `m zhskbhskm ih xe helsmemfh 'he qheykio aoeysmsko m`
lkso+ zmsm ihyhehs`o, qk hqyí aoehaymio m xe doyos }xh lksm m 7:: szd { ykheh xem zoyheakm ih 1: \% H` eödhso ih
ikheyhq hq V 4 9: { d 4 3% Qo`xakñe6 Sh 4 :,:93d> B 4 7,81 E%
Mihdíq ih` dorkdkheyo ih lkso ih` doyos, ymdckëe qh ysmeqdkyh zoyheakm, hehsläm { zms 'ymdckëe ``mdmio
dodheyo+ gmqym h` ö`ykdo ísco`%
Hfhsakako6
7¶% Qh ikqzoeh ih ioq sxhimq ak`äeiskamq hwyhskoshq% Qocsh `m sxhim aoeixayosm qh mz`kam xe zms ih 8: E¼d%
Qmckheio }xh qx smiko hq ih 38 dd { }xh hqyí he aoeymayo aoe oysm ih smiko 1: dd, ihyhsdkem `m bxhsvm }xh ihch
mz`kamsqh qocsh `m zhskbhskm ih `m sxhim aoeixakim zmsm zoihs bshems`m% Qo`xakñe6 =%222,2< E%
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3;
=3%;% Msykax`makoehq
Msykax`makoehq%
Mz`kamakñe ih ̀ mq msykax`makoehq%
Zhsdkyhe ysmeqdkyks dorkdkheyoq { bxhsvmq m `oq zxeyoq ioeih qh sh}xkhsh% @m dm{osäm ih h``mq bxeakoeme aodo
zm`meamq ih zskdhs lëehso%
Qhlöe h` qheykio ih` dorkdkheyo ysmeqdkykio, yhehdoq `oq qklxkheyhq ykzoq ih msykax`makoehq6 ih qheykioaoeysmsko, ih klxm` qheykio { he oysm ikshaakñe%
Hfhsakakoq6
;¶% Qocsh xem msykax`makñe ih qheykio aoeysmsko qh hfhsah xem bxhsvm ih 3: E%
Qk `m ikqymeakm ih `m bxhsvm m` aheyso ih lkso 'w+ hq klxm` m 8 ad { `m ikqymeakm {
4 1 ad, am`ax`m `m bxhsvm hfhsakim qocsh `m oysm msykax`makñe% Qo`xakñe6 11,11 E%
=:¶% Qxzoekheio }xh mgosm qh ikqzoelm ih xem msykax`makñe }xh zhsdkym
ysmeqdkyks h` dorkdkheyo he h` dkqdo qheykio { }xh qh hfhsvm `m dkqdm bxhsvm
he xeo ih qxq hwyshdoq, ihyhsdkem `m bxhsvm ysmeqdkykim qk `mq ioq zkhvmq }xh
lksme qocsh h` hfh ykhehe `mq dhikmq }xh qh keikamcme he h` hfhsakako meyhskos%Qo`xakñe6 3: E%
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1:
=3%=:% H`hdheyoq ih axhsim o m`mdcsh
Zo`hmq%
Zo`kzmqyo ih lsöm%
Qoe h`hdheyoq dhaíekaoq {m hdz`hmioq zos `oq lskhloq% @oq díq kdzosymeyhq qoe `m zo`hm qkdz`h { `m zo`hm
aodzxhqym o zo`kzmqyo%
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1=
=3%==% Aodckemakñe ih axhsimq, m`mdcshq { msykax`makoehq
Bsheo ih ckaka`hym%
Aodckemeio mihaxmimdheyh amc`hq { msykax`makoehq, qh zxhihe aoeqhlxks hbhayoq hqzhaymax`mshq, aodo hq h`amqo ih `oq bsheoq ih ckaka`hymq { aoaghq 'bsheoq ih dmeo+%
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13
=3%=3% Ysmeqdkqoshq zos amihem { zos aosshm iheymim
Amihem ih ckaka`hym% Aosshm iheymim ih xe hqaíehs%
Hqyoq h`hdheyoq qoe kihm`hq zmsm ysmeqdkyks h` dorkdkheyo heysh ísco`hq o hfhq dx{ ikqymeyhq he `oq }xh qh
sh}xkhsh xem sh`makñe ih ysmeqdkqkñe aoeqymeyh% @m sh`makñe ih ysmeqdkqkñe hq hwmaymdheyh klxm` }xh zmsm `mq
zo`hmq { aosshmq h keihzheikheyh ih `m qhzmsmakñe m `m }xh qh heaxheyshe `oq hfhq o ísco`hq%
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=3%=1% Eosdmq ih qhlxskimi { xqo ih h`hdheyoq dhaíekaoq
Dxagmq dí}xkemq keaoszosme xe dkasokeyhssxzyos he ̀ m amfm ihrh`oakimihq }xh hrkym }xh qh zoelme he dmsagm axmeio qh dmehfme%
Xem ih `mq eosdmq cíqkamq zmsm }xh eo oaxssme
maakiheyhq hq eo yoams zmsyhq dñrk`hq gmqym }xh eohqyëe aodz`hymdheyh zmsmimq%
@m dm{osäm ih `mq `hlkq`makoehq keyhsemakoem`hq,
hqzhakm`dheyh `m hxsozhm, qoe dx{ hqyskaymq aoe `mq
hwklheakmq ih qhlxskimi däekdmq }xh ihche axdz`ks
yoioq `oq zsoixayoq }xh qh bmcsk}xhe% Ih dmehsm
lhehsm`, gm{ }xh axdz`ks `o qklxkheyh6
▶ Yoimq `mq zmsyhq dñrk`hq ih `oq zsoixayoq }xhysmeqdkyhe dorkdkheyo ykhehe }xh hqyms zsoyhlkimq%
▶ Qk `m dí}xkem hq zoyheakm`dheyh zh`klsoqm he qx
bxeakoemdkheyo { `oq ozhsmskoq ihche hqyms shyksmioq,
yheisí }xh keaoszosms qkqyhdmq ih qhlxskimi }xh hrkyhe
}xh qh zoelm he dmsagm dkheysmq qh dmekzx`m%
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19
=3%=9% Sheikdkheyo ih dí}xkemq
M`lxeoq bmayoshq ih ̀ oq }xh ihzheih h` sheikdkheyo%
Ihqlsmakmimdheyh, eo yoim `m zoyheakm o hehsläm }xh qh ysmeqdkyh ihqih h` doyos ``hlm m` ísco` bkem` ioeih qh
ehahqkym% Zmsyh ih h``m qh zkhsih he h` amdkeo, ihckio m sovmdkheyoq, m ihq`kvmdkheyoq { m` ikqhýo ih `oq
h`hdheyoq%
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18
Hfhdz`o ==6
Qh ikqzoeh ih xe shixayos ih rh`oakimi aoe ioq helsmemfhq ih ikheyhq shayoq% Qmckheio }xh V = 4 1: { V3 4 2: { }xhh` ísco` K lksm m E= 4 7:: szd, ihyhsdkem `m zoyheakm }xh ``hlmsí m` ísco` KK qk h` doyos ykheh xem zoyheakm ih :,8 AR%
Imyoq6 dñix`o d 43> ikídhyso ih `oq ísco`hq 4 3: dd> aohbkakheyh ih sovmdkheyo ¸ 4 :,1% Qh ihqzshakm h` zhqo ih
ísco`hq { helsmemfhq%Qo`xakñe6
=¶% s z 4 :,:1dd> Sz 4 :,:2dd%
3¶% E3 4 9:: szd%
1¶% B 4 =92,33 E%
9¶% B{ 4 8:,:= E% Bw 4 =1<,9: E%
8¶% D= 4 7,39 E¼d
2¶% D3 4 :,=8 E¼d
<¶% DY 4 D= ‑ D3 4 7,:; E¼d
7¶% Z3 4 :,92 AR%