mcenroe thesis ch5 results
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8/3/2019 McEnroe Thesis CH5 Results
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I@HSREV Z
VEYUARY
R`oy r`eyoy epsadvey mer`dby rd vebuie bhrh evvdvy on JOJDy jdiuyonk yrvoira dn
evvdvy jvdm has`h shvroiaey {`oi` hjjeir dne dv mdve ieaay. Jdv r`e yonkae ieaa has`h
shvroiaey r`e evvdv onrevhvvozha boyrvofurodny {eve idmshveb {or` hnb {or`dur evvdv
idvveirodn. R`e evvdv idvveironk idbe i`dyen oy r`e mdbojoeb (66!8:/ @hmmonk idbe
hy epsahoneb on I`hsrev OOO. [e ephmone r`e yoruhrodn {`eve r`e hvvozha vhre P oy dna
yaok`ra aeyy r`hn beshvruve vhre µ. [dvby ysenb h mdbeyr hmdunr dj rome on r`e JOJD
hnb yyrem rome oy iadyea idusaeb fer{een {dvby.
R`e yomuahrodn onleiry jhuary rd svdzobe h unojdvm ieaa evvdv vhre. Rd hiidmsaoy`
r`oy! fuvyry eprenb fednb r`e ebkey dj r`e bhrh hvvh. Hy {e gnd{! ydme i`osy {oaa
`hze jehruve yo|ey ymhaa enduk` r`hr hn has`h shvroiae ihuyey h fuvyr dj yo|e n. R`e
ieaay on r`hr i`os y`duab `hze h ieaa evvdv vhre dj ephira n romey r`e vhre jdv i`osy
{or` jehruve yo|ey {`eve h yonkae shvroiae ihuyey h yonkae ieaa evvdv. Has`h shvroiae
hvvozha vhrey muyr hiidunr jdv r`e dzevahs {`oae mhonrhononk ieaa evvdv vhrody. Haa
yomuahrodn vuny {oaa fe ndvmhao|eb rd h idnyrhnr yonkae ieaa has`h shvroiae hvvozha vhre
unaeyy dr`ev{oye ndreb.
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Evvdv Ezenr Svdfhfoaor
On r`oy jovyr shvr dj r`e veyuary yeirodn {e addg hr r`e svdfhfoaor dj hn evvdv ezenr.
Jokuve 8: idmshvey r`e hnharoiha hnb epsevomenrha zhauey dj S(E/ jdv zhvoduy
beshvruve vhrey. [dvb hvvozha vhre oy idnyrhnr hr P = 8. Has`h shvroiae hvvozha vhre
oy hayd idnyrhnr hr Ph = 8.
Jokuve 8:.--Svdfhfoaor dj Evvdv S(E/ zy. Beshvruve V hre P
Ndroie `d{ vhsoba S(E/ jhaay hy beshvruve vhre onivehyey. H 83% onivehye on
beshvruve vhre rvhnyahrey onrd h 83 jdab vebuirodn on S(E/.
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73 . 5 %
3 . 3 %
+hv ‒ 3 .5 %
‒.3 %
‒.5 %
‒ 6 .3 %8.38.8Beshvruve Vhre (Hvv ozh a Vhre = 8 /
8 . 8 ?
Rd `ok`aok`r `d{ iadyea r`e r{d hssvdhi`ey mhri`! jok. 8; y`d{y r`e sevienr
bojjevenie jdv ehi` zhaobhrodn vun. R`eye zhaobhrodn vuny idnyoyreb dj : moaaodn
{dvby. R`e sevienr bojjevenie! {`oi` oy aeyy r`hn 6%! oy idmshvhfae rd r`e
zevojoihrodn vuny y`d{ n on jok. 89 s . 28. R `oy onboihrey r`hr r`e bojjevenie oy bue rd
r`e idhvyeneyy dj r`e yomuahrodn hnb {duab renb rd 3 hy yomuahrodn vun rome onivehyey.
Jokuve 8;.--Bojjevenie F er{een Y omuahrodn hnb H nhayoy dj S ( E /
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N M O
D NE I EAA[D IEAADUV IEAAONE IEAA
ND EIEINRVAZ=6O N R V A Z = 9
[e sadr S(E/ jdv zhvoduy yo|eb has`h shvroiae fuvyry on jok. 80.
Jokuve 80.--Idm shvoydn dj S(E/ jdv Zhvoduy Fuvyr Yo|ey
[e dfyevze r`e jdaad{onk<
8. Evvdv idvveirodn oy mui` m dve ejjeiroze jdv yonkae ieaa fuvyr jhuary. ?6% dj
yonkae ieaa jhuary hve idvveireb. Dna 96% dj ? ieaa fuvyr jhuary hve idvveireb.
6. Bhrh onrevaehze `hy nd hbborodnha ejjeir dnie r`e yo|e dj r`e onrevaehze oy
kvehrev r`hn r`e {obr` dj r`e has`h shvroiae hjjeireb hveh.
9. Hr ` ok` has`h shvroiae hvvozha vhrey! bhrh onrevaehzonk bob aorrae rd vebuie r`e
svdfhfoaor dj unidvveirhfae evvdvy.
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Evvdv Onrevhvvozha Boyrvofurodn
R`e jdaad{onk kvhs`y besoir r`e hnhayoy yresy on berevmononk r`e evvdv onrevhvvozha
boyrvofurodn dj r`e yonkae ieaa has`h fuvyr jhuary {or` r`e mdbojoeb @hmmonk evvdv
idvveironk idbe. H vvozha vhre oy 8! beshvruve vhre oy 8.35 . Has`h shvroiae hvvozha vhre
8 sev ieaa oy ‒ = ‒ - 3.3332525 . Jokuve 8? y`d{y r`e svdfhfoaor dj hn evvdvnG633
ezenr kozen r`hr r`e {dvb epsevoeniey obeshvruvey. R`oy oy hn ephir ydaurodn
idmsureb jvdm ex. 96.
Jokuve 8?.--Svdfhfoaor dj Evvdv S(E/ zy. Numfev dj Beshvruvey Hno( j /
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Jokuve 63 y`d{y r`e yrehb yrhre boyrvofurodn dj r`e numfev dj beshvruvey h {dvb
epsevoeniey. R`en uyonk ex. 98 {e berevmone r`e idnborodnha boyrvofurodn dj r`e
numfev dj beshvruvey yeen f r`e M r ` {dvb! kozen r`hr r`e ne {dvb {hy fhb. R`oy
kvhs` oy fhyeb dn r`e hyyumsrodn r`hr r`e xueue oy on yrehb-yrhre {`en r`e mh {dvb
hvvozey.
Jokuve 63.--Yrehb-Yrhre hnb Idnborodnha Beshvruve Boyrvofurodny
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3.32
3.39 -
'533
$8 3.39 -h / '233
3.36 -m
'9333y .
8 8 + 3.36 ‒h/
hy' 63
Fhb [dvb
in3.38-
'833
3.38-
3.33833
Num fev dj Beshvruvey
H m bendrey r`e numfev dj beshvruvey h {dvb epsevoeniey. R`e H„! svdieyy ezdazey
hiidvbonk rd r`e rvhnyorodn svdfhf oaoroey yer jdvr` on i`hsrev 2! rhfae 8 6. Jokuve 63
y`d{y bojjevenr beshvruve boyrvofurodny hy H m ezdazey jvdm hn onoroha evvdv boyrvofurodn!
rd{hvby r`e aomoronk boyrvofurodn s r . hi` iuvze on r`e k vhs` vesveyenry r`e sdyr-evvdv
beshvruve boyrvofurodn on onivemenry dj 833 {dvby.
Jokuve 68.--S vdkveyyodn dj Beshvruve Boyrvofurodny
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R`e svdfhfoaor dj h {dvb ezenr besenby dna dn r`e hmdunr dj rome h {dvb
ysenby on r`e JOJD. Yuiieyyoze {dvb evvdv ezenry hve ndr onbesenbenr. H sdvrodn
dj r`eov yyrem rome oy idvveahreb. [e berevmone h {dvb+y yyrem rome f r`e numfev
dj beshvruvey epsevoenieb f r`e {dvb. Jvdm r`eve {e i hn hssvdpomhre idnborodnha
onbesenbenie fer{een yuii eyyoze {dvby f idnborodnonk dn r`e beshvruve boyrvofurodn
epsevoenieb f ehi` {dvb. Jokuve 66 y`d{y r`e svdfhfoaor dj hn evvdv ezenr jdv ehi`
yuiieyyoze beshvruve boyrvofurodn jvdm 8 rd :333 {dvby hjrev hn evvdv ezenr.
3 . 36 :
3 .362
3 . 36 6
3.363
3 . 380
E3 . 3 8 :h.
3 . 382
3 . 386
3 . 383
3 . 330
3.33:: 333
Numfev d j Beshv ruvey Hj rev Fhb Vehb
Jokuve 66.--Svdfhfoaor dj Evvdv zy. Beshvruve Boyrvofurodn Svdkveyyodn
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Dne berevmonhrodn dj r`e zhaobor dj r`e hssvdpomhrodn luyr boyiuyyeb oy rd idmshve
r`e veyuary dj hnhayoy hnb yomuahrodn. Jokuve 69 y`d{y S(v/! r`e svdfhfoaor r`hr r`e
v r ` {dvb hjrev h fhb vehb oy hayd fhb! jdv fdr` r`e yomuahrodn hnb r`e hnhayoy.
Jokuve 69.--Evvdv Onrevhvvozha Boyrvofurodn - Yomuahrodn zy. Hnhayoy
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[`hr oj r`e hnhayoy `hb jhoaeb rd hiidunr jdv r`e evvdv ezenr besenbenie fer{een
yuiieyyoze {dvby4 Jokuve 62 hbby h iuvze jdv S(v/ fhyeb dn r`e yrehb yrhre
svdfhfoaor dj evvdv ezenr! r`uy idmsaerea okndvonk r`e evvdv ezenr besenbenie
fer{een { dvby. Iaehva duv hssvdpomhrodn oy mdve zhaob r`hn mevea okndvonk r`e
besenbenie. Jvdm r`e veahroze sdyorodnonk dj r`e r`vee iuvzey! or yeemy r`hr r`e
yomuahrodn oy y`d{onk m dve onrevbesenbenie fer{ een {dvby r`hn duv hssvdpomhre
hnhayoy hiidunry jdv.
Jokuve 62.--E vvdv Onrevhvvozha B oyrvofurodn - Idnyrhnr S(E/
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R`e e vvdv onrevhvvozha boyrvofurodn oy ezen mdve onreveyronk jdv m uarosae ieaa has`h
shvroiae jhuary. @eve {e yomuahre S(v/ jdv yxuhve bhrh hvvhy hnb on r`e sveyenie dj
onrevaehzonk. Jokuve 65 y`d{y yomuahrodn veyuary jdv r{d ieaa has`h shvroiaey.
Jokuve 65 .--Yomuahrodn Veyuary jdv R{ d Ieaa H as`h Shvroiaey
Onreveyronka enduk`! onrevaehzonk jdv r{d ieaa has`h shvroiaey renby rd onivehye r`e
fuvyroneyy dj r`e jhuary. R`eve oy nd bojjevenie fer{ee n h aonehv hnb yxuhve bhrh hvvh
jdv r`oy yer dj shvhmerevy.
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Jokuve 6:.--Yomuahrodn Veyuary jdv Jduv Ieaa Has`h Shvroiaey
[e yee h mhvgeb onivehye on r`e y`dvr revm idvveahrodn fer{een fhb {dvby.
Onrevaehzonk yeemy rd `hze aorrae zhaue `eve. On jhir! onrevaehzonk renby rd onivehye r`e
fuvyroneyy idmshveb rd r`e yxuhve hvvh. Feihuye r`e yxuhve hvvh boysevyey r`e
hblhieni ejjeir dj r`e dj r`e muarosae ieaa fuvyr! ory iuvze oy r`e ad{eyr jdv r`e {dvb
ommebohrea hjrev r`e fhb {dvb.
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Jokuve 6;.--Yomuahrodn Veyuary jdv None Ieaa Has`h Shvroiaey
On r`e ihye dj r`e none ieaa fuvyr! {e yee bvhmhroi onivehyey on r`e y`dvr revm evvdv
idvveahrodn hnb h idvveysdnbenr beivehye on idvveahrodn {or` r`e onrevaehze dj r{d hnb
r`e yxuhve bhrh hvvh.
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3.303.3; -
3.3: -
?.35 -
Y3.32h!
3 . 3 9
3.36 -
3.38 -
3.338 6333Numfev dj Beshvruvey Hjrev Fhb [dvb
O aa
Jokuve 60.--Yomuahrodn Veyuary jdv 2! = 3.8
R`e svezoduy r`vee jokuvey {eve jvdm epsevomenry {or` yui` `ok` has`h shvroiae
vhbohrodn vhrey r`hr r`e mhygeb hn onreveyronk jehruve dj r`e yxuhve bhrh hvvhy.
R`eve oy h ahvke ysoge on r`e evvdv onrevhvvozha boyrvofurodn idvveysdnbonk rd r`e
numfev dj bhrh vd{y on r`e memdv i`os. R`oy oy bue rd r`e idvveahrodn fer{een ieaay
on hblhienr {dvby dn r`e i`os. R`e yxuhve hvvh yrdvey bhrh yui` r`hr r`eve hve h
numfev dj {dvby on r`e bhrh yrvehm fer{een hblhienr {dvby. R`eye {dvby evvdv
ezenry hve aeyy boveira idvveahreb! r`uy r`e ahvke ysoge hr v =63.
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3.30
3.3; -
3.3: -
3.35 -
8%3.32 -h .!
3.39 -
3.36 -
3.38 -
3.33OOOOOOO!OOOOOOO!8OOOOOOOOOOOOOOOOOOO888888888888888OOOOOOOOOOOOOO
6333N umfev dj Beshvruvey Hjrev Fhb [dvb
Jokuve 6?.--Yomuahrodn Veyuary jdv P ?h = 3.35
R`e none ieaa yomuahrodn `hy hn ezen kvehrev ysoge hr v =63 r`hn r`e jduv ieaa
ihye. R`oy oy svdfhfa bue rd r`e `ok`ev aogeao`ddb dj 6 dj 9 fory jaosseb on hblhienr
{dvby r`hn r`e sdyyofoaor dj 6 dj 6 fory jaosseb. Ndre {`hr yeemy rd fe h ymhaa ysoge
hr v =23. R`oy {duab idvveysdnb rd r`e rds hnb fdrrdm vd{y dj r`e fuvyr hjjeireb
hveh `hzonk hr aehyr r{d fory hy a+y! fur r`e mobbae vd{ `hb dna |evd dv dne +8+ rd
hjjeir.
;;