Olasılık Ve İstatistik - Olasılık Dağılımları

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    HNI]ONOC KIONODNIWO Gu csdki tehroc hnisnc kindnir olmenelemector. @erec

    jiyitti gorhc hniyl kind gu csdki olmeneyemeodozeotno hnisnc kindnir one gelzernoc `steror. Gu kurud szchlusu hniynirni on`ono iritrdinirki chniyncnir sinidicti,prhgnednerol zdlke tehroc hnisnc kindnirllcunnilndisl ddcl jine `etordectekor. Deseni khinhniynirl kind `elennocne lhrdin kindi uyir. Coonerol,uzulnuu, irn, cil gislm vs gynekor. Enectrhlocmojiznirl `velonornoo (gor mojizl irzi yipdicszl indisresolol kind) Peogunn veyi sten kindi uyir. Gorretod jittlki retonel cusurnu didunnerol kind Qhosshlkindli uyir. Gor ool tididnildi zidilllgenorneldesolke (Qert) Geti kind cunnilndictikr. Gu trrlecnero hintdic ddclkr.

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    9. Gerlhunno Kind Gerlhunno kind rissin gor keleyol sikeme oyo- ct, hnudnu-

    hnudsuz, giirn-giirsz, cusurnu-cusursuz `ogo sikeme oco

    shlumu virsi cunnilnil gor kindkr. Gor keleyol sikeme oco

    shlumu virsi gu keleye Gerlhunno keleyo ik veronor. Gerlhunno keleyolke oco shlu virkr. Keleyol shlunirlkil

    goro uy`ul kurud hnup giir hniric obike ekonor ve x49 hniric

    `steronor. Koer jin uy`ul hndiyil kurud hnup giirsznc

    hniric iknilkrnr ve x41 one `steronor. Keleyol giirn

    shlunildi hnisn p one `steronkoolke Gerlhunno kind

    yne bhrdne ekonor.

    Gerlhunno kindll tec gor piridetreso p giir hnisnkr.

    9,1)9()( 9 xppxb xx

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    Gerlhunno Kindll gecnelel keer ve viryils

    Gerlhunno kindll gecnelel keero (irotdetoc hrtinidis)

    Gerlhunno kindll viryils

    9

    1

    19919

    9

    )9(9)9(1)9()(

    9,1)9()(

    x

    xx

    xx

    pppppxpZE

    xppxb

    pZE )(

    9

    1

    197917977 )9(9)9(1)9()(x

    xx ppppppxZE pZE )( 7

    777 )()T(S()()( ppZRirZEZEZRir

    pqppZRir )9()(

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    9. Gerlhunno Kindrlec6 Gor sphrmulul yipt dsigiciki cizildi hnisn

    1,: ciygetde hnisn ose 1,7 hniric verondotor. Gu sphrmu

    ool

    Hnisnc bhlcsoyhlulu yizlz, ]phrmulul gecnelel (hrtinidi) cizildi hnisn ve

    viryilsl gunuluz.

    zdi)

    g)

    ko`er

    xx

    xb

    1

    17,19:,1

    )(

    :,1)( pZZE

    92,17,1:,1)9()( ppZRir

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    7. Golhd Kind Hnisnc kindnir oersolke el yiy`l cunnilnil kindnirkil

    gorokor. Keleynerol tecrirniligonkoo kurudnirki cunnilnr. Gor

    keley l cez tecrirnilklki genno gor hniy x kebi deykili

    `enoyhrsi gu hniyl hnisn GLHDkind yirkd one gunulur.

    Golhd kind iikico virsiydniri kiyildictikr.

    9) Jer keley gorgornerolol cirncn hniric el`enneyel oco

    ddcl jinkel sikeme gorolke deykili `endectekor. Ddcl

    jinnerkel goro uy`ul jin (x) koero uy`ul hndiyil jin (l-x)hniric obike ekonor.

    7) Gor uy`ul jinol hnisn (p) jer keleyke iylkr. Uy`ul

    hndiyil jinol hnisn (q49-p) oolke iyl kurud sz

    chlusukur.(seod oikeno)

    =) Keleyner gidszkr. _ilo gor keleyke oster uy`ul oster

    uy`ul hndiyil jin deykili `ensol gu kurud koer keleykeco

    uy`ul gor jinol hnisnli etco etdez.

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    7. Golhd KindGolhd kindll hnisnc bhlcsoyhluL keleyke uy`ul jinol x kebi deykili `ende hnisn

    Golhd kind l (keley siys) ve p (uy`ul jin hnisn) hndic zere oco

    piridetreye kiyildictikr.

    rlec6 i)Gor piri one yipnil 5 itti 7 yiz `endeso hnisn le hnur8

    g)El iz 7 yiz `endeso hnisn le hnur8

    ..l1,9,7,=,..xguriki)9()33()()(

    xlx pp

    x

    lplxgxbxZQ

    7 =5

    ( 7) 1, 5 .1, 5 91.1, 75.1,975 1, =9757

    Q x

    :975,19:05,195,1.5,1.9

    55,1.5,1.

    1

    59)9()1(9

    9)Q(x1)Q(x-9)5();()=()7(

    ;951

    xbxb

    xQxQxQxQ

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    7. Golhd Kindrlec6 Jerjil`o gor relmolol gor kerstel `ede hnisn

    1,0 kor. Wis`ene seonel 91 relmokel

    i) ; ll kersolo `edeso hnisn

    g) El iz = ll kerso `edeso hnisnm) El bizni :olol kerstel `edeso hnisn le hnur8

    k) Z6 Giirn relmo siys hndic zere Z ol hnisncnirl

    Q(Z4x)4b(x) guniric hnisnc bhlcsoyhlulul `riboolo ozoloz.zd

    )91()?():()0()2()5();()=()

    =,1.0,1.;

    91

    );();()

    2;

    ZQZQZQZQZQZQZQZQg

    bZQi

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    7. Golhd Kind

    k)

    Giirn relmo siy Hnisnc

    1 5,?E-12

    9 1,1119=:

    7 1,119;;0

    = 1,11?117

    ; 1,1=2050

    5 1,917?9?

    2 1,7119790 1,722:7:

    : 1,7==;0;

    ? 1,979129

    91 1,17:7;:

    :7?9911 =,1.0,1.

    7

    91=,1.0,1.

    9

    91=,1.0,1.

    1

    919)7(()9()1(9) ZQZQZQg

    :975,19:05,19=,1.?,1.91

    91=,1.0,1.?

    91991)Q(Z?)Q(Z-9:)Q(Z-9:)Q(Z) 1919?

    m

    Golhd hnisnc bhlcsoyhlu

    1

    1,151,9

    1,95

    1,7

    1,75

    1,=

    1 9 7 = ; 5 2 0 : ? 91

    Giirn relmo siys

    H

    nisnc

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    Golhd Kind rlec

    l veyi plol jer bircn keero bircn gor kind

    `sterkoolkel, Golhd kind `erecte gor

    kindnir `urugu tecon eker. p41,5 hnkuu zidilkind sodetroc gor econ inr. (l)ol keero lednokeonkor. plol ink keere `re kindl ecnokeoor. p>1,5 tel cc ose kind sii irpc,p

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    Golhd kindll gecnelel keero

    Golhd hnisnc bhlcsoyhlu6

    Gecnelel keer6

    l-94d, x-94y kersec l4d+9, x4y+9 hnur. Gurikil l-x4d-y

    hnur

    lxqpx

    lxb

    xlx ,.......,7,9,1)(

    xlxxlxxlx qpp

    xlxx

    llxqp

    xlx

    lxqp

    x

    lxZE 9

    )!(9)9(

    )!9(

    )!(!

    !)(

    xlx qpxlx

    llpZE

    9

    )!()!9(

    )!9()(

    ydyydy qp

    y

    dlpqp

    ydy

    dlpZE

    )!(!)(

    hnur.)( lpZE

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    Golhd kindll viryils

    Rir(Z) 4 E(Z7

    ) SE(Z)T7

    hnkuuli `re E(Z7

    ) jesipnilr.

    Riryils6

    xlxxlx qp

    xlx

    lxlpqp

    x

    lxZE

    977

    )!()!9(

    )!9()(

    xlx qpxlx

    lxlpZE 97

    )!()!9()!9()99()(

    xlx qpp

    xlxx

    llxlpZE

    77

    )!()!7)(9(

    )!7)(9()99()(

    T)!()!9(

    )!9(

    )!()!7)(9(

    )!7)(9()9S()( 977 xlxxlx qp

    xlx

    lqpp

    xlxx

    llxlpZE

    T9

    )!()!7(

    )!7()9S()( 77

    xlx qp

    xlx

    lpllpZE

    )9(-pT9)9S()( 777777 plppllplplpllpZE 777777 T)(S)()( pllpqplZEZEZRir

    hnur.)( lpqZRir

    lpqpl)E(Z 777

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    7. Golhd KindGor onetdeke inil oonerol oe `e cindi hrilll %95

    hnkuu gonkorondotor. Gu onetdeke inil oonerkel 71tileso rist`ene seonkoolke3

    i); tilesolol oe `e cind hndi hnisn le hnur8g)El iz = tilesolol oe `e cind hndi hnisn le hnur8m)71 oo ool oe `e cinil oo siysll gecnelel keer veviryils le hnur8

    k)_ucirkico cnirkil gidsz hniric rist`ene seonel 91ookel el iz gorolol oe `e cindi hnisn 1,:5 hnkuuli`re onetdeke oe `e cindi hril le hnur tijdol ekoloz.

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    =. Joper`ehdetroc KindGolhd kind ecseroyette yerole chydic suretoyne yipnilrlecnedenere titgoc ekondectekor. rlec, ctnekel yerolechydikil econkoo tickorke irtc gidsz hniy sz chlusu

    hndiklkil golhd kind uy`unilidiz. Gu `ogo kurudnirkiyilo keleynerol gidsz hndik kurudnirkiJoper`ehdetrockind uy`unilr.

    i6 uy`ul, g6 uy`ul hndiyil i+g enedil oerel gor ctnekel

    oikesoz hniric l enidil seonkoolke x tilesolol uy`ul, l-xtilesolol uy`ul hndiyil enedilnirkil hnudi hnisnjoper`ehdetroc hnisnc bhlcsoyhlu one obike ekonegonor.Joper`ehdetroc hnisnc bhlcsoyhlu yne yiznr.

    Kindl i, g ve lhndic zer piridet-

    reso virkr.lx

    gi

    xl

    g

    x

    i

    gilxb ,.....,=,7,9

    l

    )333(

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    Joper`ehdetroc kindl gecnelel keero

    Joper`ehdetroc kind bhlcsoyhlu

    Gecnelel keer6

    lx

    l

    gi

    xl

    g

    x

    i

    xb ,...,7,9,1)(

    xlg

    xixxiix

    l

    gi

    l

    gixl

    g

    x

    i

    xZE)!()!9(

    )!9(9)(

    99

    9

    9

    )( l

    gi

    l

    gi

    i

    xl

    g

    x

    i

    l

    gi

    i

    ZE

    lgi

    iZE

    )(

    lgi

    iZE

    )(

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    =. Joper`ehdetroc Kindrlec6Gor kerlecte 97 so ercec : o giyil thpnid 71 ye virkr. 5

    Coonoc gor chdosyhl curi one seonoyhr.

    i) Chdosyhlki = ercec gunuldi hnisn lekor8

    Gu hnisn golhd kind one gunursic

    g) Chdosyhlki el iz oco ercec gunuldi hnisn lekor8

    97 :

    = 7 2921( =) 1, =?0

    71 9551;

    5

    Q Z

    ?;77,11500:,199551;

    :;1

    9551;

    529

    5

    71

    ;

    :

    9

    97

    5

    71

    5

    :

    1

    97

    9)9()1(9)7(

    ZQZQZQ

    .=;52,192,1792,191;,1.2,1.=

    5)=( 7= hnurxxZQ

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    ;. Qhosshl Kindhnkuu zidil golhd kind,

    Qhosshl kindli yicnir. Gor hniyl deykili `ende hnisn(p) sbri, khniysyni q49-p 3 9e yicnirsi (tersoke ddcl ) ve l

    hc gyc hnursi gyne hniyniri likor deykili `enel hniynirkelor. Qhosshl kind likor deykili `enel hniynirl kindhniric ti gonolor. Qritoc hniric eer gor hniykico keley siys el iz51 (l51) ve lp5 hnuyhrsi gyne hniynir likor hniynir hniric

    klnegonor.Qhosshl hnisnc bhlcsoyhlu yne yiznr6

    sigotp l.pvel,1

    lxx

    e

    xb

    x

    ,....,7,9,1!)(

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    ;. Qhosshl Kind

    4lphnup kindl hrtinidiskr (gecnelel keeroE(Z)4) ve kindl tec piridetresokor. Qhosshlkindll viryils ki yi eottor. Rir(x)4

    Qhosshl kind ki Golhd kind `ogo gidszhniynirki cunnilnr. Ilmic ctne slrsz hnkuuzidil hniynirl gidsznli gicdicszl gukind cunnildic ddclkr.

    Qhosshl kind didun duiyelesolke,so`hrtimncti, ditgiimncti,o cizinirlki, tenebhlsiltrinnerolke, iz ristnilr jistincnirl

    hnisncnirll tijdololke cunnilnr.

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    Qhosshl kindl gecnelel keero

    Qhosshl kindll gecnelel keero6

    ....=,7,9,1!)(

    xx

    exb

    x

    )!9(!

    )(9

    xx

    ex

    x

    exZE

    xx

    !

    )(kersec)9()!9(

    )(9

    y

    eZEyx

    x

    eZE

    yx

    hnur.)( ZE

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    Qhosshl kindll viryilsGulul ool lme E(Z7) jesipnilr.

    Riryils

    )!9()99(

    )!9(!)(

    9977

    x

    ex

    x

    ex

    x

    exZE

    xxx

    T)!9()!7)(9(

    )9S()(97

    7

    x

    e

    xx

    exZE

    xx

    T9)!7(

    S)(7

    7

    xeZE

    x

    77 )(ZE

    7777 T)(S)()( ZEZEZRir

    hnur.)( ZRir

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    ;. Qhosshl Kindrlec6Gor bigrociki o cizinirll kindll Qhosshli uy`ulnuu tespot

    ekondotor. _nnc coo gili kel hrtinidi o cizis 1,5 iniricgunuldutur. [esikbel seonel gor coolol3

    i) Jo Cizi `eordedeso,

    g) Gor cizi eordeso,m) El iz gor cizi `eordeso hnisncnirl gunuluz8

    zd6

    1,=?=1,210-91)Q(Z-99)Q(Z)

    =1=5,1210,1.5,1.5,19!

    5,1)9(b(931,5))

    210,1!1

    5,1

    !)1()3()

    5,195,1

    5,115,1

    m

    ee

    ZQg

    ee

    x

    eZQxbi

    x

    5,1

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    rlec6Gor bigrociki retonel dinnirl 1,1= cusurnukur.Duiyele ool 75 gorodnoc gorrlec econkoolke3

    i) ; cusurnu din cdis

    g) = veyi kiji bizni cusurnu din cdis,m) El bizni 7 cusurnu din cdis hnisn le hnur8

    k) Gu rlec ool phosshl hnisncnirl gunup ribocte `steroloz.

    zd6

    1,?219

    !7

    05,1.05,1

    !9

    05,1

    !1

    05,17)b(Zm)

    1,1;1,?219-91,9=79)1,=5;1(1,;07-9

    )1,7:.1,;071,05.1,;07(1,;07-9

    )!7

    05,1

    !9

    05,1

    !1

    05,1(-9=)b(Z

    = x1,05g)

    1,112;.=.7.9

    71,=92.1,;0

    ;!

    05,1);(1,05)6b(;

    !)b(x3

    ; x1,0575.1,1=.)

    705,17905,1105,1

    705,1905,1105,1

    ;05,1

    eee

    eee

    eZQ

    x

    e

    pli

    x

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    Cusurnusiys

    Hnisncb(x)

    1 1,;07=222

    9 1,=5;70;?

    7 1,9=7:5=9= 1,1==79==

    ; 1,1127705

    5 1,111?=;9

    2 1,111992:0 9,759E-15

    : 9,90=E-12

    ? ?,00;E-1:

    91 0,==E-1?

    99 ;,??:E-91

    97 =,97;E-99

    9= 9,:17E-97

    9; ?,25;E-9;

    95 ;,:70E-95

    ;. Qhosshl Kind

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    9.5- Gor rlec kind (Cesocno kz`l kind)

    Eer x tesikbo keocelole iot hnil cdekeco jer hniyl hnisn eotse Zolhnisnc kind, srecsoz gor rlec (ulobhrd-kz`l) kind hniric obikeekonor.

    Z rissin keocelole iot rlec uziyose gor rlec (cesocno kz`l kind) kind hnisnc bhlcsoyhlu yne

    yiznr.

    rlec6 hniric veronkoole re3

    i) Hnisnc bhlcsoyhlulu yiziric Zol : kel gyc hndi hnisnl Q(Z

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    2. @ehdetroc Kind

    Golhd kindll uy`unilk giz kurudnirki, veronel jerjil`o gorkeleyke uy`ul jinol onc kebi deykili `endeso hnisnshrunigonor. Eer uy`ul jin x olmo keleyke onc kebi deykili`enoyhrsi x-9 siykico keleyke uy`ul hndiyil jin deykili

    `endo kedector. Gulul hnisn kor. Guli `re Z olmokeleyke uy`ul jinol onc kebi deykili `ende hnisn ynehnur.

    Guli `re `ehdetroc kind bhlcsoyhlu yne yiznr.

    Kindl tec piridetreso p hnup uy`ul jin hnisnl`sterdectekor.

    @ehdetroc kindl gecnelel keer ve viryils

    .)9().9)........(9)(9)(9( 9hnurppppppp x

    9x

    )p9(

    9( ) (9 ) guriki 9,7,=.............xb x p p x

    7

    9)(

    9)(

    p

    pZRir

    pZE

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    2. @ehdetroc Kindrlec6 Gor gonirkh hyulmusulul siy yipdi hnisn 1,0 tr.

    Hyulmulul

    i) [id hniric 5 siy yipdis hnisn

    g) El iz 2 siy yipdis hnisnl gunuluz.

    Hyulmulul siy yipigondeso ool irincsz cizildis`erecdectekor.

    zd6i)

    g)

    151;79,192:10,1.=,10,1.=,1)01,1(=,1)2( 592 ZQ

    92:10,1:=9?=,19

    )1071=,1917:,19;0,179,1=1,1(9

    )5();()=()7()9(9....0)Q(Z2)Q(Z

    bbbbb

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    0. Le`itob Golhd Kindx.olmo keleyke uy`ul jinol r.olmo kebi deykili `endehnisnell genorneldesolke le`itob golhd kind

    uy`unildinkr. Le`itob golhd hnisnc bhlcsoyhlu yneyiznr.

    zen hniric r49 hnursi `ehdetroc kind enke ekonor.

    Gu kindki x-9 keley golhd kind `steror. x. Keleyolshlumu ki uy`ul jin (p) hnup x-9 keleyol kind one

    irpndictikr.Le`itob Golhd kindll gecnelel keer ve viryils

    xrrrrxppr

    xxb rxr ,....,=,7,9,.....7,9,)9(

    9

    9)(

    7

    )9()()(

    p

    prZRir

    p

    rZE

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    0. Le`itob Golhd Kindrlec6Gor ivmll jekebo vurdi hnisn %=1 kur.

    i) Ivmll yipt 5. itl =. osigetno it hndi hnisn lehnur8

    g) 91. itl el bizni 7. osigetno it hndi hnisn le hnur8zd6

    i)

    g)

    = 7 = 7 = 75 9 ; ;.=.7!

    ( =) 1,= . 1,0 1,= . 1,0 1,= . 1,0 2 1,170 1,;?= 9 7 7!.7!

    ( =) 1,927 1,;? 1,10?=:

    Q r x x

    Q r x

    12;,11979,1159?,11,0.=,199

    9911,0.=,1

    97

    991)9()7()7( ?9:7

    rQrQrQ

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    :. Duntolhdoin Kind (hc terodno kind)

    hniynirll deykili `endehnisncnirll srisyni verondesojinolke kebi deykili`ende hnisn Duntolhdoin kind irimnynigunulur.

    Guriki

    c79 p,......p,p

    cc7799 x'E........x'E,x' l lololE

    .........=,7,9x.........p!!......!.x

    L!)( cx

    79

    9

    9

    c

    cx

    c

    pZx

    xb

    .kor'Lx.....xx c79 .'9.....79 korppp c

    c79 E,......E,E

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    :. Duntolhdoin Kind (hc terodno kind)

    rlec6Gor onetdeke inil djelkosner irislkil ?coonoc gor prhfe `rugu hnuturunimictr. netdeke 91dicole, 2 enectroc, ; elkstro djelkoso

    indictikr. Qrhfe `rugulki ; dicole = enectroc, 7elkstro djelkoso gunuldi hnisn le hnur.

    zd6L4? x94;, x74=, x=47

    71

    ;

    71

    2

    71

    91=79 ppp

    1:515,11111205,19721

    )71

    ;()

    71

    2()

    71

    91(

    !7!=!;

    !?)7,=,;( 7=;=79

    xxxQ

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    rlec Qrhgnedner

    Gor onetdeke ;1 oo indictikr. onerkel 91 tilesogiyilkr.i) Gu oonerkel rist`ene : tileso seonerec gor chdosyhl

    hnuturunkuulki 7 tilesolol giyil hndi hnisn le hnur8g) ]eonel : coonoc chdosyhlki el iz = tile giyil enedilgunuldi hnisn le hnur8

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    rlec Qrhgnedner

    Gor onetdeke gunulil gor dicolelol jerjil`o gor`lke irzi yipdi hnisn %= tr.i) 51 `lnc gor retod sresolke dicolelol

    hrtinidi irzi siys ve viryils le hnur8g) 51 `l oolke dicolelol = cere irzi yipdihnisn le hnur8

    m) 51 `l oolke dicolelol el iz 7 cere irziyipdi hnisn le hnur8k) yucirkico cnirkil gidsz hndic zere 51`l oerosolke dicolelol el iz gor cez irzi yipdihnisn %01 hnkuuli `re dicolelol gu sreoolke gecnelel irzi siys ve jerjil`o gor `lkeirzinildi hnisn le hnur8

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    ]recno Hnisnc Kindnir Gor rissin keocelol siynidiyimic siyki slrsz

    keerner inigonoyhrsi gu keocele ]recno rissinkeocel ik verondectekor. ]recno rissin keocelol

    ink keerner siynigonor hndiyp, `erec siynir ecselolkeco gtl keernero inigonor.

    ]recno rissin gor keocelol tild irinlkico jerjil`ogor keero tid hniric indis odcilszkr. lc `erecsiynir ecselolol jer irinlki shlsuz siyki siy(lhcti) devmuttur. ]hlsuz lhctikil gorolol econdesohnisn 9/41 kr. H jinke srecno tesikbo gor keocelol

    jer jil`o gor keero tid hniric indi hnisn sbr hnkuulkil, jer jil`o gor hnisnctil gijsekegondec oolgenno gor irinl hnisnll iritrndis `erecor.

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    ]recno Hnisnc Kindnir Z srecno rissin keocelol kind bhlcsoyhlu B(x)(cdnitob yhulnuc bhlcsoyhlu) hnsul. Gulul trevo hnil

    B(x)4b(x) e hnisnc bhlcsoyhlu (hnisnc yhulnuc bhlcsoyhlu) koyegondec ool u oco irtl gornocte sinildis `erecor.

    9)

    7)

    9. irt Zol hnisnll sbr veyi phzotob inimil 7. irt ose gtl rlec uziyl hnisnll 9e eot hnimil

    obike eker.

    Gurikil jirecetne , i ve g irinlki gunulil Z keocelolhnisn yne tirob ekonor.

    1)( xb

    9)( kxxb

    g

    i

    kxxbiBgBgZiQ )()()()(

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    ]recno Hnisnc Kindnirrlec6 Iikico bhlcsoyhlul hnisnc yhulnuc bhlcsoyhlu

    hnigondeso ool

    i) c sigoto le hndinkr 8

    g) Q(9>Z>=) jesipniylz .m) @riboolo ozoloz.

    zd6 i) bhlcsoyhlul hnisnc bhlcsoyhlu hnigondeso ool u oco

    irt sinidis `erecno oko

    irtnirkil 9. so ool c

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    ]recno Hnisnc Kindnir

    =7

    9=

    2;

    72

    =

    72

    2;

    =

    =

    9

    =

    70

    2;

    =

    =2;

    =

    2;

    =)()=9()

    =

    9

    =

    9

    =7

    =

    9

    xx

    kxxkxxbxQg

    hnisnc yhulnuc bhlcsoyhlu

    1

    1,19

    1,17

    1,1=

    1,1;

    1,15

    1,12

    1,10

    1,1:

    1

    1

    ,;

    1

    ,:

    9

    ,7

    9

    ,2 7

    7

    ,;

    7

    ,:

    =

    ,7

    =

    ,2 ;

    ;

    ,;

    ;

    ,:

    5

    ,7

    Z

    b

    x

    Hnisnc kind bhlcsoyhlu

    1

    1,7

    1,;

    1,2

    1,:

    9

    9,7

    -1,:

    -1,; 1 1,

    ;1,:

    9,7

    9,2 7

    7,;

    7,:

    =,7

    =,2 ;

    ;,;

    ;,:

    5,7

    Z

    B

    (x

    )

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    ]recno Hnisnc Kindnirrlec6Iiki veronel bhlcsoyhlulul hnisnc yhulnucbhlcsoyhlu hnigondeso ool

    i) c le hndinkr.

    g) Q(Z

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    ]recno Hnisnc Kindnirrlec6 Z tesikbo keocelol kind bhlcsoyhlu iikico econkekor.

    i) Hnisnc yhulnuc bhlcsoyhlulu gunuluz.g) Q(ZZ>;) hnisnl,

    k) Q(Z45) hnisnl jesipniylz.

    zd6i)

    g)

    m) Q(-=>Z>;)4Q(1>Z>;)4B(;)4

    1x1

    1 xe-9)x(B

    -7x

    1 x1

    1 x7)()(

    7xexB

    kx

    kxb

    7

    ;

    7

    77 19:,17)7( eekueZQ uu

    ???2,1111=;,1999 :;7 ee

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    ]recno Kz`l (Ulobhrd) kind

    Z srecno keocelolol tild irinlkico hnisncnir eot ose Zol kind ulobhrd kind hniric cigun ekonor.

    Gu kindl hnisnc yhulnuc bhlcsoyhlu ynekor.

    Guriki ve kindl piridetrenero hnup `erecsigotnerkor. ()

    Gu kindl kind bhlcsoyhlu yne yiznr.

    x1

    9)(

    xxb

    x9

    x1

    )()( xx

    xZQxB

    ] ( b )

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    ]recno Kz`l (Ulobhrd) kind

    rlec6 Z tesikbo keocelo -7>Z>7 irinlki ulobhrd hnirickindtr.

    i) Q(Z>9) hnisnl gunuluz.

    g) yo jesipniylz.

    zd6

    )7

    9

    9( ZQ

    ;

    =

    ;

    99

    ;

    5,15,99)

    ;

    9(9

    ;

    99

    )5,95,1(9)75,9()5,17()799()

    ;

    =

    ;

    7

    ;

    9

    ;

    9

    ;

    99)Q(Zi)

    5,9

    5,1

    5,9

    5,1

    9

    7

    9

    7

    xkx

    xQxQxQZQg

    xkx

    Kz`l kind hnisnc bhlcsoyhlu `ribocnero

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    Kz`l kind hnisnc bhlcsoyhlu `ribocnero

    Hnisnckind bhlcsoyhlu

    1

    1,7

    1,;

    1,2

    1,:

    9

    9,7

    -7

    ,5

    -7

    ,7

    -9

    ,?

    -9

    ,2

    -9

    ,=

    -9

    -1

    ,0

    -1

    ,;

    -1

    ,9

    1

    ,7

    1

    ,5

    1

    ,:

    9

    ,9

    9

    ,;

    9

    ,0 7

    7

    ,=

    Z

    B

    (x

    )

    Hnisnc _hulnuc Bhlc

    1

    1,115

    1,19

    1,195

    1,17

    1,175

    1,1=

    -7

    ,5

    -7

    ,9

    -9

    ,0

    -9

    ,=

    -1

    ,?

    -1

    ,5

    -1

    ,9

    1

    ,=

    1

    ,0

    9

    ,9

    9

    ,5

    9

    ,?

    7

    ,=

    Z

    b(

    x

    )

    Kz`l kindl gecnelel keer ve viryils

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    Kz`l kindl gecnelel keer ve viryils

    Kz`l kind bhlcsoyhlu6

    Kz`l kindl gecnelel keero6

    xxb9

    )(

    )(7)(7

    9

    )(

    777

    x

    kxxZE

    )(7

    ))(()(

    ZE .hnur

    7

    )(

    ZE

    Kz`l kindl viryils

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    Kz`l kindl viryils

    Riryils ool lme E(Z7) jesipnilr.

    Kz`l kindl viryils6

    )(=)(=

    9)(

    ===77

    xkxxZE

    )(=

    ))(()(

    777

    ZE

    =)(

    777 ZE

    okoZEZEZRir 77 )T(S)()(

    7

    77

    T7S=)(

    ZRir

    97

    )()(

    7ZRir

    7 sten (Exphleltoin) kind

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    7. sten (Exphleltoin) kind

    Gu kindl hnisnc yhulnuc bhlcsoyhlu ynekor.

    Kindl tec piridetreso hnup, kindl hrtinidiskr

    (gecnelel keero).

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    sten (Exphleltoin) kind

    sten kindl hnisnc kind bhlcsoyhlu

    sten kindl hnisnc yhulnuc ve kind bhlcsoyhlu `ribocnero

    kurudicso1

    1xe9)x(B

    x

    sten (Exphleltoin) kind

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    sten (Exphleltoin) kind

    rlec6Gor onetdelol retondo hnkuu enectrhlocmojiznirl irzisz indi srenerolol (siitmolsolkel ) sten kindi uykuu `rndtr

    ve hrtinidi irzisz indi sresolol 7; siithnkuu jesipnildtr. Guli `re i )Wist`ene seonel gor mojizl el iz 97 siit

    irzisz indi hnisnl jesipniylz g) El bizni =2 siit irzisz indis

    hnisnl gunuluz 8

    m) ]eonel mojizl =1 siittel bizni indihnisn %:1 hnigondeso ool gu mojiznirlhrtinidi irzisz indi sreso le hndinkr8

    sten (Exphleltoin) kind

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    sten (Exphleltoin) kind

    zd6

    i)

    g)

    m)

    2125,17;9)97(Q 5,17;

    97

    977;

    97

    7;

    eeekxeZxx

    002?,177=9,199

    7;

    9)=21(Q 5,9

    =2

    1

    7;

    =2

    1

    7;

    eekxex

    xx

    ( ) ( ) ( )

    =1

    =1 =1

    =1 =1

    9 9 ( . .) 1,: 1,:

    =1 -e 1,: e 1,: - nl 1,: 9=;

    x x x

    e kx e e

    e siit

    1 x7;

    9)( 7;

    x

    exb

    sten kindl gecnelel keer ve viryils

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    sten kindl gecnelel keer ve viryils

    sten kind bhlcsoyhlu6

    Gecnelel keer6

    19

    )(

    xexb

    x

    kxxekxexZE

    xx

    11

    99)(

    xx

    evkxekv

    kxkuxu

    oneosnedololte`risyhcosdovkuuvukv

    11

    11

    9)(

    xxxx

    exekxeexZE

    .)( ekonorenkeZE

    hnur.)( ZRir

    sten (Exphleltoin) kind

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    sten (Exphleltoin) kind

    Qrhgned6 Gor hthdhgon servos ostisyhluli `enel hthdhgonnerolservos sresolol sten hnkuu ve el hc 21 kc servos `rdehnisn %;1 hnkuuli `re3

    i) Hrtinidi servos sresolo jesipniylz

    sten (Exphleltoin) kind

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    sten (Exphleltoin) kind

    g) El iz 911 kc. sreyne servos `rde hnisnl gunuluz.

    m) ]ervos sresolol el iz 71kc. ve hrtinidisll 01kc hnilulobhrd kindi uydis kurudulki el bizni servos sreso ve

    jerjil`o gor hthdhgonol :5 kc. kil bizni servos `rde hnisnlgunuluz.

    Lhrdin Kind

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    Lhrdin Kind

    stitostocte el yiy`l cunnilnil kind lhrdin kindkr. Gizesernerke @iuss kind, il eroso, lhrdin ero vs. `ogoosodnerne ke iknilkrndictikr.

    Lhrdin kindl hnisnc yhulnuc bhlcsoyhlu ynekor6

    Gu kind (hrtinidi) ve 7 (Riryils) piridetrenerole

    kiyildictikr. Khniysyni lhrdin gor kind L(, 7

    )sedghn one `steronor. _ucirkico bhlcsoyhli hnisnc yhulnuc bhlcsoyhlu

    koyegondec ool3

    hndis erecor.

    vephzotob hnkuu ool 9. irt sinild hnur. irtki ospitniligonor.

    x-e7

    9)x(b

    777-x-

    9b(x)kxve1)(-

    xb

    -

    b(x)kx 9

    Lhrdin Kind

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    Lhrdin Kind Lhrdin kind econke `rnk `ogo il ecnolke gor

    kindkr. Kind irotdetoc hrtinidi ve stilkirt sipdipiridetreneroyne obike ekondectekor. Kindl tild irin

    - ve + irinlkikr.

    Lhrdin kindl zennocnero

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    Lhrdin kindl zennocnero

    Kindl irotdetoc hrtinidi () etriblki sodetroctor._ucirkico econke ke `rnk `ogo hrtinidill shnulkicinil inilni, hrtinidill silki cinil inilnir gorgorole

    eottor. Irotdetoc hrtinidi, dhk ve dekyil gorgorole eottor. ]recno rissin gor keocelol yhulnuc bhlcsoyhlu hnkuu

    ool erolol intlki cinil inill tidid 9e eottor.

    Irotdetoc hrtinidill 9 silki ve shnulki cinil inilthpnid inill %2:ole eottor.

    Irotdetoc hrtinidill 7 silki ve shnulki cinil inilthpnid inill %?5ole eottor

    Irotdetoc hrtinidill = silki ve shnulki cinil inilthpnid inill %??,0ole eottorGu kurud iiki co econke `rndectekor.

    Lhrdin ero intlki cinil inilnirl `sterodo

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    h i e i t ki i i i i i `ste

    Lhrdin ero intlki cinil inilnirl `sterodo

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    5-Lhrdin Kind vepiridetrenero one tespot ekondectekor.Bicit jer ve keero ool bircn gor lhrdin kind enkeekondectekor. bircn keerner inlklki econke `rnk`ogo kind x ecselo zerolke ciydictikr. ll bircn

    keerner indis ose kindl sovronoole veyi giscnli tesoretdectekor. Gu kurud iikico econke `sterondotor.

    ]tilkirt Lhrdin Kind

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    ]tilkirt Lhrdin Kind

    Kiji lme genortonkoo `ogo ve ll jer bircn keero oolbircn gor lhrdin kind virkr. Khniysyni ve keernerole kiyilil shlsuz siyki lhrdin kind enkeetdec ddclkr. Gu shlsuz siykico lhrdin kind tec

    gor kindni obike ekegondec ool lhrdin keocelol gorklde tigo tutunur. Gu onedne lhrdin keocelhrtinidis sbr, viryils 9 hnil lhrdin kindi klr.Gu keocele stilkirt lhrdin keocel ik veronor ve V

    keocelo hniric `steronor.

    V lol gecnelel keero (hrtinidis)6 E(V)41 V lol viryils 6 Rir(V)49 hnur.

    oo

    ZV

    ]tilkirt Lhrdin Kind

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    ]tilkirt Lhrdin Kind

    ]tilkirt Lhrdin Kindl yhulnucbhlcsoyhlu lhrdin yhulnucbhlcsoyhlulkico yerole 1 ve yerole 9chydic suretoyne yne yiznr.

    econke stilkirt lhrdin kind`rndectekor. V ecselolke jer jil`o ocolhcti (keer) irislkico hnisnc gu ocolhctikil yitiy ecsele cnil kockhrunir one ero ve yitiy ecselo

    irislkico inili eottor. Gu inil szchlusu oco keer irislkico bhlcsoyhlulolte`rino inliric gunulur. Deseni V9 veV7 keernero irislki cinil inil ynegunulur.

    Vezb

    z

    7

    7

    7

    9)(

    7

    9

    77

    9

    7

    7

    9)(

    V

    V

    VV

    V

    kzekzzb

    ]tilkirt Lhrdin Kind

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    ]tilkirt Lhrdin Kind Ilmic stilkirt lhrdin kindki irilil

    inilnir tignhnir jinolke veronkoo ool gu trolte`rin jesipnirli `erec yhctur.]tilkirt lhrdin ero inilnir tignhsulul

    shnulkico gorolmo stulki V keernero yerindictikr. ]tilkirt lhrdin ero intlkicoinilnir (yilo hrtinidi one V keerneroirislki cinil inilnir ose) koerstulnirki `sterondotor.

    Kind hrtinidi etriblki sodetrochnkuu ool le`itob keerner ool iyrmi gortignhyi `erec yhctur. _ilo V lol phzotobkeernero ool veronel inilnir le`itobkeernero ool ke `eernokor.

    rlec6 V41 ve V49,25 irislkico inilyilkico econke hnkuu `ogo `steronor.econke gu inil tirild csdkr. V41 oneV irislki cinil inil 1,;515 tor (inttiveronel tignh).

    25,9

    1;515,1)( kzzb

    ]tilkirt Lhrdin Kind [ignhsu

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    V 1 1,19 1,17 1,1= 1,1; 1,15 1,12 1,10 1,1: 1,1?

    1 1 1,11=?:? 1,110?0: 1,199?22 1,195?5= 1,19??=? 1,17=?77 1,170?1= 1,1=9::9 1,1=5:52

    1,9 1,1=?:7: 1,1;=0?5 1,1;005: 1,159090 1,15520 1,15?29: 1,12=55? 1,120;?5 1,109;7; 1,105=;5

    1,7 1,10?72 1,1:=922 1,1:012; 1,1?1?5; 1,1?;:=5 1,1?:012 1,91752: 1,912;7 1,991729 1,99;1?7

    1,= 1,990?99 1,97907 1,975592 1,97?= 1,9==107 1,9=2:=9 1,9;1502 1,9;;=1? 1,9;:170 1,9590=71,; 1,955;77 1,95?1?0 1,927050 1,922;17 1,9011=9 1,90=2;5 1,9007;7 1,9:1:77 1,9:;=:2 1,9:0?==

    1,5 1,9?9;27 1,9?;?0; 1,9?:;2: 1,719?;; 1,715;19 1,71::; 1,79772 1,795229 1,79?1;= 1,777;15

    1,2 1,7750;0 1,77?12? 1,7=7=09 1,7=525= 1,7=:?9; 1,7;795; 1,7;5=0= 1,7;:509 1,7590;: 1,75;?1=

    1,0 1,75:1=2 1,7299;: 1,72;7=: 1,720=15 1,701=5 1,70==0= 1,702=0= 1,70?=5 1,7:7=15 1,7:57=2

    1,: 1,7::9;5 1,7?91= 1,7?=:?7 1,7?20=9 1,7??5;2 1,=17==0 1,=15915 1,=10:5 1,=9150 1,=9=720

    1,? 1,=95?; 1,=9:5:? 1,=7979; 1,=7=:9; 1,=72=?9 1,=7:?;; 1,==9;07 1,===?00 1,==2;50 1,==:?9=

    9 1,=;9=;5 1,=;=057 1,=;29=2 1,=;:;?5 1,=51:= 1,=5=9;9 1,=55;7: 1,=502? 1,=5??7? 1,=279;=

    9,9 1,=2;==; 1,=225 1,=2:2;= 1,=01027 1,=07:50 1,=0;?7: 1,=02?02 1,=0? 1,=:9 1,=:7?00

    9,7 1,=:;?= 1,=:2:29 1,=::02: 1,=?1259 1,=?7597 1,=?;=5 1,=?2925 1,=?0?5: 1,=??070 1,;19;05

    9,= 1,;1=7 1,;1;?17 1,;125:7 1,;1:7;9 1,;1?:00 1,;99;?7 1,;9=1:5 1,;9;250 1,;92710 1,;900=2

    9,; 1,;9?7;= 1,;710= 1,;779?2 1,;7=2;9 1,;75122 1,;72;09 1,;70:55 1,;7?79? 1,;=152= 1,;=9:::

    9,5 1,;==9?= 1,;=;;0: 1,;=50;5 1,;=2??7 1,;=:77 1,;=?;7? 1,;;127 1,;;90?7 1,;;7?;0 1,;;;1:=

    ]tilkirt Lhrdin Kind [ignhsu (Kevid)

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    V 1 1,19 1,17 1,1= 1,1; 1,15 1,12 1,10 1,1: 1,1?

    9,2 1,;;5719 1,;;2=19 1,;;0=:; 1,;;:;;? 1,;;?;?0 1,;5157? 1,;595;= 1,;575; 1,;5=579 1,;5;;:2

    9,0 1,;55;=5 1,;52=20 1,;507:; 1,;5:9:5 1,;5?10 1,;5??;9 1,;210?2 1,;292=2 1,;27;27 1,;2=70=

    9,: 1,;2;10 1,;2;:57 1,;2527 1,;22=05 1,;20992 1,;20:;= 1,;2:550 1,;2?75: 1,;2??;2 1,;01279

    9,? 1,;097:= 1,;09?== 1,;07509 1,;0=9?0 1,;0=:9 1,;0;;97 1,;05117 1,;055:9 1,;029;: 1,;02015

    7 1,;0075 1,;000:; 1,;0:=1: 1,;0::77 1,;0?=75 1,;0?:9: 1,;:1=19 1,;:100; 1,;:97=0 1,;:92?9

    7,9 1,;:79=2 1,;:7509 1,;:7??0 1,;:=;9; 1,;:=:7= 1,;:;777 1,;:;29; 1,;:;??0 1,;:5=09 1,;:50=:

    7,7 1,;:21?0 1,;:2;;0 1,;:20?9 1,;:0972 1,;:0;55 1,;:0002 1,;::1:? 1,;::=?2 1,;::2?2 1,;::?:?

    7,= 1,;:?702 1,;:?552 1,;:?:= 1,;?11?0 1,;?1=5: 1,;?129= 1,;?1:2= 1,;?9912 1,;?9=;; 1,;?9502

    7,; 1,;?9:17 1,;?717; 1,;?77; 1,;?7;59 1,;?7252 1,;?7:50 1,;?=15= 1,;?=7;; 1,;?=;=9 1,;?=29=

    7,5 1,;?=0? 1,;?=?2= 1,;?;9=7 1,;?;7?0 1,;?;;50 1,;?;29; 1,;?;022 1,;?;?95 1,;?512 1,;?5719

    7,2 1,;?5==? 1,;?5;0= 1,;?521; 1,;?50=9 1,;?5:55 1,;?5?05 1,;?21?= 1,;?2710 1,;?2=9? 1,;?2;70

    7,0 1,;?25== 1,;?22=2 1,;?20=2 1,;?2:== 1,;?2?7: 1,;?017 1,;?099 1,;?09?0 1,;?07:7 1,;?0=25

    7,: 1,;?0;;5 1,;?057= 1,;?05?? 1,;?020= 1,;?00;; 1,;?0:9; 1,;?0::7 1,;?0?;: 1,;?:197 1,;?:10;

    7,? 1,;?:9=; 1,;?:9?= 1,;?:75 1,;?:=15 1,;?:=5? 1,;?:;99 1,;?:;27 1,;?:599 1,;?:55? 1,;?:215

    = 1,;?:25 1,;?:2?; 1,;?:0=2 1,;?:000 1,;?::90 1,;?::52 1,;?::?= 1,;?:?= 1,;?:?25 1,;?:???

    ]tilkirt Lhrdin Kind

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    rlec6V>9,75 hnisnl (inil) gunuluz.]hrunil hnisnc iikico `ribocteco tirin inilkr.

    rlec6V

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    rlec6Gor bordi mid civilhznir ool telece cipicnir odinetdectekor. ipnirll hrtinidis 91 md. ve stilkirtsipdis 1,19 md. hnil gu cipicnirl ipnirll lhrdin

    kink cigun ekonoyhr. din ekonel cipicnirkil ipnir91,17 one 91,17: md. irislki hnilnirl hril lekor8

    zd6

    _icnic hniric %7 kor

    9

    9

    77

    7,7: 7,: 7

    7 1 1

    91,17 91

    71,19

    91,17: 917,:

    1,19

    ( ) ( ) ( ) 1,;?0; 1,;00= 1,1719z z z

    Z

    V

    ZV

    b z k b z k b z k

    ]tilkirt Lhrdin Kind

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    Qrhgned6 Gor bigrociki retonel mvitinirl ipnir 7md.hrtinidi ve 1,9 md. stilkirt sipdi one lhrdin kindiuydictikr. Gu mvitinirl ip 9,: one 7,95md. klikerse ghzuc siyndictikr. Gu veronere `re retodolghzuc hrill gunuluz.

    zd6

    1:?2,1;==7,1;007,19)()(9)(9

    5,99,1

    95,1

    9,1

    795,7

    79,1

    7,1

    9,1

    7:,9

    5,9

    1

    1

    7

    5,9

    7

    7

    9

    kzzbkzzbkzzb

    V

    V

    ]tilkirt Lhrdin Kind

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    Qrhgned6Gor slivki inlil lhtnir 02 hrtinidi ve95 stilkirt sipdi one lhrdin kind uydictikr.relmonerol %95o II, %91u BB lhtu indtr.

    i) II inigondec ool el iz lhtu (el ycsec %95 e`orel el kc lhtu) g) BB cindi lhtu hnkuuli `re kerso `eegondec

    ool `erecel el iz lhtu tijdol ekoloz.

    zd6 II lhtu lhtnir cctel gyesrinilklki %:5 yi ki zerolke lht inilnircipsidictikr. Kindl yird inil ene

    inlklki gu inil 1,=5 ve tesolo cipsir. ]tilkirtlhrdin kindki 1,=5 inilli cirnc `enel Vkeero tignhkil gunulur.

    ]tilkirt Lhrdin Kind

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    i)

    g) 1,51,941,; inilli cirnc `enel V keero 9,=:

    puil52,:BB027,9?

    95

    027:,9

    95

    02

    BB

    BBBBV

    puil?9,2II

    95,202II022,95

    95021;,9

    9502

    1;,9=5,1

    =5,195,15,1

    II

    IIIIV

    V

    Nh` Lhrdin Kind

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    Z rissin keocelo y 4 nl x kld one lhrdin jine`enoyhrsi Z keocelolol kindll nh`lhrdinhnkuu synelor. Nh`lhrdin kind hnisnc yhulnuc

    bhlcsoyhlu yne yiznr.

    y6 y lol kindl hrtinidis y6 stilkirt

    sipdiskr.

    1 x7

    9

    )(

    7

    7

    7

    )(nl

    y

    yx

    yexxb

    Nh` Lhrdin Kind

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    ` Z ve _ keocelnerolol hrtinidis ve viryils yne

    yiznr.

    ]tilkirt keere kltrde onedo

    ecnolke yipnr. _ keocelo Z keocelole ecnolke

    kltrnr.

    )9nl(T

    9

    nlS

    )9(

    7

    7

    7

    7

    )(77

    x

    xy

    x

    x

    xy

    xx

    yy

    x

    yee

    y

    y_V

    yeZ

    Nh` Lhrdin Kind

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    rlec671-=1 yi irislkico olsilnirl cil gislmll(tilsoyhl) hrtinidisll 97, viryilsll 7,75 hnil nh`lhrdinkindi uykuu gonkorondotor. Gu yi `rugulkil ris`ene econelgor coolol cil gislmll

    i) El bizni 9= hndi hnisnl gunuluz.g) Cil gislmll 97,53 9;,5 irislki hndi hnisnl gunuluz.m) Cil gislm el iz hnil % 5noc `rugul el

    ycsec cil gislml tijdol ekoloz.

    zd6

    97;5,1)1952,9nl(99;;

    75,7nl)9nl(

    ;00,7)?10,99nl(nlT

    9

    nlS

    7

    7

    99;;

    7,75

    97

    7

    7

    y

    x

    xy

    y

    x

    x

    xy

    Nh` Lhrdin Kind

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    i) Q(Z>9=) ool Z nh`lhrdin kinkli `re hlulnh`irotdis hnil _4 nlZ keocelo lhrdin kinr. lme guonedol yipnp shlri stilkirt lhrdin keocele kldyipndinkr.

    _4 nl(9=)4 7,525 hnur. _ lol stilkirt keero3

    g) Q(97,5>Z>9;,5) hnisn ool Z ol slrnir _ keocelomolsolkel obike ekonor._9 4 nl(Z9) 4 nl(97,5) 4 7,572_7 4 nl(Z7) 4 nl(9;,5) 4 7,20;

    09,197;5,1

    1::,1

    97;5,1

    ;00,7525,7

    V

    _V

    y

    y

    1 09,1

    1

    09,1

    7299,15,1)()()()09,1( kzzbkzzbkzzbVQ

    0299,1)09,1( VQ

    Nh` Lhrdin Kind

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    m) hnigondeso ool

    V4-9,2;5 hndis `erecor.

    Gu keer Ze kltrnrse3

    hniric gunulur.

    =0,997;5,1

    ;00,720;,7=?,1

    97;5,1

    ;00,7572,7)20;,7572,7( 7799

    VVVV_Q

    x

    kuub 15,1)(

    707,797;5,1

    ;00,72;5,9

    _

    __V

    y

    y

    0,?707,7 ZeZeZ y

    =0,9

    =?,1

    =?,1

    1

    =0,9

    172=,19590,1;9;0,1)()()()=0,9=?,1( kzzbkzzbkzzbVQ

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    5 @iddi Kind @iddi kindll yhulnuc bhlcsoyhlu ynekor

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    @iddi kindll yhulnuc bhlcsoyhlu ynekor.

    Kindl piridetrenero ve hnup `iddi bhlcsoyhlukur.Kind ikl gu bhlcsoyhlkil indictikr.

    Bircn jer ve keernero ool bircn kind econnero enkeekondectekor. Deseni 49 ve 49, 47, 4=, 4; keerneroiikico econke `rnel kindnir enke ekonor.

    @iddi bhlcsoyhlu yne obike ekonor.

    @iddi bhlcsoyhluli irk irkli csdo olte`risyhluy`uniliric3

    1 x1

    1x)(

    x

    )(

    /9

    xe

    xb

    )(

    ool1 xkyey)(y

    1

    9

    ekonor.enke)!9()(

    @iddi Kind

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    Bircn jer ve keernero ool bircn kind econnero enkeekondectekor. Deseni 49 hnurcel49, 47, 4=, 4;keernerolo inklki iikico econke `rnelkindnir enke ekonor.

    @iddi Kind

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    @iddi kindlki ve ll giz keernero ool zenkindnir enke ekonor.

    49 ool sten kind,

    Co-cire kind enke ekonor.

    @iddi kindll hrtinidis6

    Kindl viryils 6

    Gu oco keerkel jirecetne ve yne gunulur.7X7

    X7

    s

    Z

    sZ

    ool7,7

    l

    X

    x77s

    @iddi Kind

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    rlec6 Gor onetdeke `lnc enectroc elerfoso tcetodolol(gol conhvit/ siit molsolkel ) gor `iddikindli `re keotoo cigun ekondectekor. netdelolevorod siltrinolol `lnc cipisoteso 91 gol conhvit/siithnkuuli `re, jer jil`o gor `lke onetdelol enectrocojtoyimll evorod siltrino cipisotesolo idis hnisnlgunuluz8

    zd6

    11

    1?

    .

    )(

    99)!-(79)!-()(

    (7).=

    .)(

    =/

    7

    =/97

    x

    xex

    xb

    exxb

    x

    x

    hnil=,7

    @iddi Kind

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    gurikil-=ekx vekv

    kxkuxue?9)(

    x/=-x/=-

    x/=-

    91

    kxxxb

    kxe=?

    9ex=?

    9kxex?

    9)x(b =x

    91

    =x

    91

    =x /-

    91

    =

    x

    -=

    x

    -

    91

    =

    x

    -=

    x

    - eex=9e?ex=

    ?9

    1,95;5::1,1=50?;.==,;e.==,;

    =9=.e9

    =91eee

    =91

    ==,=

    =

    91

    =

    91

    =

    91

    =

    91

    2. Peogunn Kind zennocne `velonornoc ilinozolke cunnilnil ledno gor hnisnc

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    `kindkr. Kindd hnisnc yhulnuc ve kind bhlcsoyhlniriiki verondotor.

    Hnisnc yhulnuc bhlcsoyhlu3

    Hnisnc kind bhlcsoyhlu3

    Bhlcsoyhlki 6 econ, 6 yer piridetresokor. 49 hnursi Peogunn kind sten kindi klr.

    gykce kind lhrdin kindi yicnir.

    11

    1)(

    )/(9

    x

    xexxb

    x

    )/(9)( xexB

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    Hnisnc yhulnuc bhlcsoyhlulul `riboo olmenelkoolke inbipiridetreso gyc keerner inklki Peogunn kind Lhrdinkindi khru yicnidictikr.

    Peogunn Kind

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    rlec6 Gor mojizl `velonornoolol 4=, 4911 siit hnilPeogunn kindli uykuu gonoldectekor.

    i) Gu mojizl el bizni 01 siit cesoltosoz (irzisz) indihnisnl gunuluz.

    g) ?1 siittel bizni indis ool `velonornoolo (?1 siittelbizni irzisz indi hnisnl) gunuluz.

    zd6 Hnisnc kind bhlcsoyhlu one zd

    i)

    g)

    01?2,199)01(=)911/01( eZQ

    );:7,19(9T9S9)?1(=)911/?1( eZQ

    7?1;,1)01( ZQ

    ;:7,1)?1( ZQ

    Golhd kindli lhrdin kind yicnid

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    Keley siys shlsuzi `okercel kind sodetroc ose (p keero 1,5movirlki ose) golhd kind lhrdin kindi yicnir. Eer l keleysiys yeterolme gyc ose, kind tid hniric sodetroc hndisi gonekindl irpcn hc genor`ol hndiyimictr. Gyne kurudnirki

    cesocno hnil Golhd keocelo uy`ul gor onedne srecno gor keocelekltrnr. Gyneme l ve p piridetrenero one tildnild hnilGolhd kind yerole lhrdin kind cunnilnigonor.

    Keley siys l keerolol yeterolme gyc hndis obikeso hnkuci

    dunic gor obikekor. Keley siysll yeterolme gyc hnup hndikltespot ool eotno yltedner cunnilndictikr.

    Golhd keocelo cesocno hnkuu jinke lhrdin keocel srecnokor. Gukurudki Golhd keocelolo srecno ecne kltrdec `erecor. Cesocno

    hnil Golhd keocelo {1, l} irislkico tid siy keernero inr. Gu tidsiynirl irislkico gorer gorodnoc ghnucnirl keocelol keeroleyilstndis `erecor. Gulul ool keocelol keero (9/7) gorod `erokelginiyp (9/7) gorod onerokel gotoronor. Gyneme cesocnonoc jino srecno jine

    kltrnd hnur.

    Golhd kindli lhrdin kind yicnid rlec hniric iikico tignhki giz Golhd keocelnerolol srecno

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    econnero verondotor.

    rlec6Gor nosekeco relmonerol ]] slivl cizildi hnisncnir1,= tr. Gu noseke slivi 911 relmo citnk gonolkoole `re3

    i) ]liv =1 relmolol cizildi hnisn le hnur8 g) Gu relmonerol el iz 70 solol cizildi hnisn le hnur8 m) relmonerol el iz == el bizni =0 olol cizildi hnisn le

    hnur8

    Cesocno Golhd keocelo Lhrdin yicnid (srecno)

    Q(Z45) Q(;,5>Z>5,5)

    Q(Z5) Q(Z>5,5)

    Q(ZZ>0,5)

    Q(= Z>0) Q(7,5>Z>2,5)

    Golhd kindli lhrdin kind yicnid zd6

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    Kindl hrtinidis6 4 lp 4 1,=*911 4 =1

    Kindl viryils 6 7 4 lpq 4 1,=*1,0*911 4 79 4;,5:i) Q(Z4=1) i) Lhrdin yicnidni Q(7?,5>Z>=1,5) hnur.

    g) Q(Z70) ool lhrdin yicnidni Q(Z

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    Gor enectrhloc didun 77 elte`re kevrekel hnudictikr.

    Qrhgned

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    Elte`re kevrenerol irzin hndi hnisncnir %9 ve gorgorolkelgidszkr. Enectrhloc pirill inr hndis ool gtlkevrenerolol sinid hndis `erecdectekor.

    i) Wist`ene seonel 21 elte`re kevrekel el iz 7 tilesololirzin hndi hnisn lekor8

    g) ]eonel kevrenerkel el iz 9 tilesolol irzin hndi hnisn%:1 hndis ool ci elte`re kevre seondenokor8

    m) Gu kevrenerne odin ekonel enectrhloc didunl sinid hndihnisn lekor8

    k) Wis`ene seonel 91 didunkel el hc 7 solol irzin hndihnisn lekor.

    e) ]eonel 0. didunl onc irzin piri hndi hnisn lekor8 b) ]eonel 91. didunl =. irzin didun hndi hnisn lekor8 `) Wis`ene seonel 9;1 didunkel el iz =1 tilesolol cusurnu

    hndi hnisnl gunuluz.

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    Gor jistileye `enel jistinirl kijonoye phnocnoloole `otde hnisn

    Qrhgned

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    %95 kor. Gu jistileye `enel ;1 jistikil i) Kijonoye phnocnoloole `okel jistinirl hrtinidi ve viryils le

    hnur8 g) Jistileye `enel ;1 jistill 5 tilesolol kijonoye phnocnoloole

    `otde hnisn le hnur8 m) Gu jistinirl el iz = tilesolol kijonoye phnocnoloole `otde

    hnisn le hnur8

    k) Jistileye `enel 5. jistill kijonoye phnocnoloole `enel oncjisti hndi hnisn le hnur8 e) Jistileye `ene ;1. jistill kijonoye phnocnoloole `enel ;.

    jisti hndi hnisn le hnur8

    b) Jistileye enel jistinirl %95 o kijonoye, %71 so CGGye, % 91u hmuc ve `ero cinil koer phnocnolocnere `ottoole `re, Jistileye`enel ;1 jisti oerosolkel seonel 91 jistikil 7 solol kijonoye, =ll CGG ye, 9 olol hmuc, `ero cinilnirll koer phnocnolocnere`otde hnisn le hnur8

    rlecnede Kindnir

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    9 Hrtinidinirl rlecnede kind7 Hrilnirl rlecnede kind

    = Hrtinidinirl bircll rlecnede kind

    ; Hrilnirl bircll rlecnede kind

    5 Riryilsnirl rlecnede kind

    2 Riryils hrilnirll rlecnede kindnir

    rlecnede [ehroso

    [ n

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    [ildnir Ctne6 Gor hniyl diltcel ddcl gtl gorodnerololhnuturkuu cdekor. rlec ose gu ctnelol gor csdgorodnerolkel deykili `enel gor int cdekor. Ctnekecogorodnerol econoo onedole oserlecnedeik veronor. stitostocilinozol teden idim rlee kiyiliric ctne jicclkitijdolke gunuldic, `elennede yipdic ve cirir verdechnup, gu idim `erecnetoregondec ool rleol iot hnkuuctneyo oyo gor econke tedson etdeso `erecor.

    Gor hcunki giir kurudulu ndec ool yipnil iritrdikirleo sikeme genno gor slbtil sedec veyi sikeme ercecrelmonerkel sedec yi ki obt ludirin relmonerkelsedec sosteditoc gor rlecnede jitisli segep hnur. Gu

    iritrdi shlumulki enke ekonel keerner ctnelol `ereckurudulu yilstdiyimictr. Gu segepne ctnekeco gorodnerolrlee `orde ilsll eot hndisli, rlec seodololristsin hndisli ve rlec gycnll yeterno hndislikoccit ekondeso `erecnokor.

    rlecnedeyo `erectorel segepnero

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    rlecnede yipdiy `erecno cnil segepner csimi ynesriniligonor6

    Dinoyetnerkel (test, duiyele vs.) tisirrub sinildis, Vidil tisirrubu sinildis,

    Khru gon`o sinildis,

    Ilictnelol tid siydll pritoc hniric odcilszhndis,

    [ijrogitn duiyele onednerolke gor zhrulnunuc hndis

    rlec ]eodolke Koccit Ekondeso

    @ c L ct n

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    @erecel Lhctinir 9. Ilictnelol tild6rlec inlimic ctneye iot gorodner

    ic gor econke tildniliric ctnelol ereveso ozondenokor.

    7. rleol tedsonmonoc lotenoo6 rlec, zerolke kurunilzennoc gicdlkil ctneye gelzer kurudki gunuldin, hlutedson etdenokor.

    =. Gorodnerol eot ilsni seodo6Ctne oolke yer inil td

    gorodnerol rlee seonde ilsnir eot cnldinkr. Jergorod eot ilsni seode citndinkr. ;. [iribsznc6Ctnekel rlec gorodnerolol seodo srislki,

    gu oo yipil coolol tididel tiribsz kivrildis `erecor.

    5. rlec jimdo6rlec jimdo irttci rlec ostitostoo ctnepiridetresole yicnir. Gulul ool yeterno gycncte rlecseondenokor.

    Ilictnekel rlec ]ede

    _ t n o

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    _ltednero Ctnekel rlecnerol seondeso oo hnisncnve hnisncszhndic zere oco econke yipnr.

    Hnisncn rlecnedeke, ctnekeco td gorodnerol rlee`orde ilsnir eot cnlr. L tile gorodkel hnuil gorctnekel l gorodkel hnuil gor rlec seonemecse, jer gorgorodol rlee `orde ils eot yilo l/L hnur. Hnisncn

    seodkel khniy rlec, ctneyo kiji oyo yilstr.Hnisncsz rlecnedeke, gorodnerol seodo ool gor curin

    yhctur. Gulkil khniy ki jer gorodol seonde ils bircnbircnkr. ]eod tididel ceybo yipndicti yi ki yinlz`lnn hnilnir rlee kijon ekondectekorner. Gorodnerolrist`ene yltedne seondedenerolkel khniy rleolctneyo tedson yeteleo izkr

    Hnisncn rlecnede

    9 Gisot Wist`ene rlecnede

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    9- Gisot Wist`ene rlecnede zerolke kurunil zennoc gicdlkil ctnekeco gorodner

    jhdhfel gor econke kindnirsi, rlec gisot rissin

    yltedne seonor. Gu yltedke gorodnerol rlee `ordeilsnir eot hnup, rlec ctnekel rissin hniric gor kebikiseonor.

    7- ]osteditoc rlecnede

    rlec seod onednerolol chniy hndis segegoyne zennocne ilictnelol gyc hnkuu kurudnirki cunnilnil gor rlecnedeyltedokor. Ctne yip otogiryni gisot rist`ene rlecnedeke

    hnkuu `ogo irilil zennoc islkil jhdhfel gor yipyisijopse sosteditoc rlecnede cunnilnigonor. Gisot rist`enerlecnedekel birc, gorodnerol seodolol tididel rissinkeon ke sosteditoc gor econke yipndiskr.

    = [igicin rlecnede

    Hnisncn rlecnede

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    =- [igicin rlecnede zerolke kurunil zennool keernero gicdlkil gorodnerol

    jhdhfel kindik, guli cirnc gorgornerole yiclkeernerol gor iriyi `enerec tigicinir hnuturkuu ctnenerketigicin rlecnede yltedo uy`uniligonor.

    ;- Cikedeno rlecnede

    Ctnelol khin hniric cikedeno gor econke int `rupniri

    iyrnigonkoo ve on`onelonel zennoc yllkel gorodneroljhdhfel kink kurudnirki termoj ekonel gor yltedkor.

    Hnisncn Hndiyil rlecnede

    Hnisncn hndiyil rlecnede gorodnerol seodolke ceyboo t o o n k cn t n oko

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    Hnisncn hndiyil rlecnede, gorodnerol seodolke ceyboseod yltedolol uy`unilk rlecnede yltednerokor.9- Chniyki rlecnede6 Gu rlecnede yltedolke chniymi

    uninigonor gorodnero sedec suretoyne gor rlec hnuturundiyi

    innr. rlecnedeke gorodnerolol seodo `rdemotiriblkil khru zidilki khru yerke gunulil gorodner,`lnn citndmnir irislkil yipnr.

    7- _ir`sin rlecnede6 rleo hnuturimic gorodnerolseodnerolol seodo yipil coonerol irzu, klme vekeleyodnerole kiyiliric yipndisli yir`sin rlecnedekelor.

    =- Chti rlecnedeso6 Gu yltedke tigicin rlecnedeyltedolke hnkuu `ogo ilictne int ctnenere iyrnr.

    Iritrdim jer int ctnelol tedsono ool chti chyir. Gu chtigenornelel tigicill ilictneye hrilli `re genornelor.Chti rlecnedeke rlee `oremec enedilnir tesikbel keoniritrdiml celko osteole `re genornelor.

    Hnisncn hndiyil rlecnede5 Konod rlecnedeso6 [ildnilil ilictnelol gorodnero

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    5- Konod rlecnedeso6[ildnilil ilictnelol gorodnero`elo gor mhribo inili kindsi, gorodnere unidicjed disribn jed ke hc zidil inm hnur. Gu teclocte

    ereveye `erec yhctur.2- Cirthpu rlecnedeso6 ilictnelol enedilnir tid

    hniric genorneldezse yi ki ilictne slrl genornedecddcl keonse ilictneyo genorneyemec rleohnuturdic zhrkur. Iritrdim gu kurudki rleoikd ikd hnuturur. Cirthpu hniric gonolel guyltedke iritrdim uniigonemeo onc enedil genorner.

    Gu enedilkil enke ettoo gon`onerne koer enedilniri vegu econke zolmornede hniric ilictneyo tedson ekelrlee unidiyi inr.

    @elennocne L jirbo one `steronel ctne jimdo slrn veyislrsz hnigonor ilmic l jirbo one `steronel rlec jimdo

    Gisot risin rlecnede

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    slrsz hnigonor, ilmic l jirbo one `steronel rlec jimdoslrnkr. L gycnlkeco gor ctnekel lgycnlke econegonemec rlec siys slrn siykihndicni gornocte, slrsz siyki enedil oerel gor

    ctnekel l gycnlke econegonemec rlec siys kislrsz hnur.

    L gycnlkeco gor ctnekel l gycnlke econelgor rlecte ctnekeco gorodnerol rlee `orde ilsnireot ose gu tr rlecnedeye Gisot Wissin rlecnedeik veronor. Gisot rissin rlecnedeke ctnekeco gorodneroikeno yi ki oikesoz econke econegonorner.

    Ctneyo getodneyel hrtinidi, viryils `ogo nnerectnepiridetreneroik veronor. Eer gu nner rlectel enkeekonoyhrsi guli ki rlec ostitostoo ik veronor. rlecostitostocnero ctne piridetrenerolol gor tijdolokor.

    rlecnede kindnir x9,x7,x=,.....,xl rissin keocelnerolkel enke ekonel jer jil`o gor

    rlec ostitostoo (x s vs) gu keocelnerol gor bhlcsoyhluhnkuulkil celkoso ke gor rissin keocelkor Jer jil`o gor rlec

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    rlec ostitostoo ( x, s vs) gu keocelnerol gor bhlcsoyhluhnkuulkil celkoso ke gor rissin keocelkor. Jer jil`o gor rlecostitostoolol hnisnc kindli h ostitostool rlecnede kindik veronor. L gycnlke gor ctnekel l gycnlke econdesoddcl gtl rlecner econerec jerjil`o gor ostitostoc jesipnilr

    ve gu keerner gor kind ecnolke obike ekonorse gu kindi hostitostoolrlecnede kindik veronor. ]lrn gor ctnekel keleysen hniric rlecnede kind tecon

    ekonegonor. Gulul ool yne gor yhn ticop ekonor.9) lme L gycnlkeco ctnekel l gycnlkeecondeso ddcl gtl rlecner tesikb, hniric econor.7) Jil`o rlec ostitostoolol kind genornelemecse, jer rlecool h ostitostool keernero jesipnilr.=) Gor stuli jesipnilil keerner, koer stuli ose gu

    keernerol tecrir siynir yizniric keleysen hniric rlecnedekind enke ekonor. Ilmic ctne slrsz hnkuulki gyne gor yhn ticop ekonedez. lc

    gyne ctnenerkel shlsuz siyki rlec ecdec ddclkr. Gynekurudnirki yeterno siyki rlec econerec `eree yicl gor

    rlecnede kind enke ekonegonor.

    Hrtinidinirl rlecnede Kind

    Ctnelol slrn yi ki slrsz hndisli `rehrtinidinirl rlecnede kind bircnnc `steror ikeno

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    Ctnelol slrn yi ki slrsz hndisli `rehrtinidinirl rlecnede kind bircnnc `steror. ikenoseod kurudulki ctne slrn gone hnsi slrsz jine`endo hnur. lc seonel rlec jimdo ostelonkoo cikir

    gyc tutunigonor (ctne jimdolkel gone gyc hnigonor).Eer ctne slrn ve oikesoz seod yipnyhrsi rlecjimdo ctne jimdolkel kiji gyc hnidiz.

    Guriki lme ctnelol slrn hnkuu, oikeno seodolyipnk ve rlec jimdolol (l) ctne jimdolkel (L)cc hnkuu kurudnirki hrtinidinirl rlecnedekind olmenelemector.

    Iiki cc gor ctnekel econel oikeno rlecner oolhrtinidinirl rlecnede kindll lisn hnutuukeleysen hniric `sterondotor.

    Enedilnir { 9 7 = ; 5 } ricidnirlkil hnuil gor ctne rlec

    Hrtinidinirl rlecnede kind

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    Enedilnir { 9,7,=,;,5 } ricidnirlkil hnuil gor ctne rlechniric ene inlklki piridetrenero3

    Gu ctnekel 7 gorod oerel rlecner oikeno hniric seonorsethpnid Ll 4 57 4 75 rlec seonegonor. Gu 75 rleolkindli onocol tignh iiki verondotor. [ignhki piriltezoolkeco keerner rlec hrtinidinirkr. Gu hrtinidi keernercunnilniric hrtinidinir ool brecils kind enke ekondotor.Guli hrtinidinirl rlecnede kind ik verondectekor.

    =5

    95

    L

    oZ

    77

    5

    917)(7

    L

    oZ

    [ignh6 L45 gycnlkeco ctnekel l47 gycnlkeeconegonemec ddcl rlecner

    Gorolmo colmo ]eod

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    ]eod 9 7 = ; 5

    9939

    (9)

    937

    (9,5)

    93=

    (7)

    93;

    (7,5)

    935

    (=)

    7739

    (9,5)

    737

    (7)

    73=

    (7,5)

    73;

    (=)

    735

    (=,5)

    ==39

    (7)

    =37

    (7,5)

    =3=

    (=)

    =3;

    (=,5)

    =35

    (;)

    ;

    ;39

    (7,5)

    ;37

    (=)

    ;3=

    (=,5)

    ;3;

    (;)

    ;35

    (;,5)

    5539

    (=)

    537

    (=,5)

    53=

    (;)

    53;

    (;,5)

    535

    (5)

    Hrtinidinirl rlecnede kind

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    _ucirkico `ribocnerke ctne veronerolol kz`l kind`sterdenerole cirnc rlec hrtinidinirl kindllsodetroc kink `rndectekor. Gu kurud rlec siysllirtdisli gin hniric kindl lhrdine yicniimill goroiretokor.

    Hrtinidinirl rlecnede kind

    _ucirkico tignhkico hrtinidinir ool iikico kindenke ekonor

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    bo

    Lospo brecils

    bo/bo

    9 9 1,1; 9 -7 ;

    9,5 7 1,1: = -9,5 ;,5

    7 = 1,97 2 -9 =

    7,5 ; 1,92 91 -1,5 9= 5 1,7 95 1 1

    =,5 ; 1,92 9; 1,5 9

    ; = 1,97 97 9 =;,5 7 1,1: ? 9,5 ;,5

    5 9 1,1; 5 7 ;

    [hpnid 75 9 05 75

    _ucirkico tignhkico hrtinidinir ool iikico kindenke ekonor.oZ oo Zb ZZo

    7)( ZZb oo

    _ucirkico rlecte hrtinidinirl rlecnede kindllhrtinidis3

    hnup ctne hrtinidisli () eottor.=75

    05

    o

    oo

    b

    ZbZ

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    Hrtinidinirl rlecnede kindll viryils ose

    hniric gunulur. Ctne viryils onerlec hrtinidinirll viryils iyl shlumu verdedotor.Ctne viryilslkil jirecetne rlec hrtinidinirll

    viryilsl enke ekegondec ool3

    onedo yipnr. rlecnede kindll

    viryilsll cirecc, yilo rlecnede kindll stilkirtsipdisli hrtinidill stilkirt sipdis yi ki csimistilkirt jitiik veronor ve yne yiznr.

    )( 7

    x

    975

    75)( 7

    7

    o

    oo

    xb

    ZZb

    97

    777 l

    x

    lx

    9

    7

    7

    x

    _ucirkico stilkirt jiti bhrdnle koccit ekonorse rlec

    jimdo (l) gykce stilkirt jiti cndectekor. u jinke

    Hrtinidinirl rlecnede kind

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    ( ) y rlec jimdolol irtdis ctne one on`ono gon`olol irtdisli,khniysyni rlec hrtinidisll `okerec ctne hrtinidisli

    yicnidisli segep hndicti ve rlecnede jitisllizindisli segep hndictikr.

    ]hlu6 _ucirkico rlecte enke ekonel6

    ZZE )(

    llZE xx

    3T)S(

    777

    Ctne jimdo L slrn ocel rlec seodo oikesoz hniric yipnyhrsi c n t n n cn151

    l

    ]eodol oikesoz yipnk kurudnirkihrtinidill rlecnede kind

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    y yve rlec hril hnuyhrsi hrtinidinirl rlecnede

    kindll hrtinidis (gecnelel keero) ve viryils3

    _ucirkico stilkirt jiti bhrdnlkeco obikeso slrn ctne

    kzentde bictr hniric iknilkrnr. Gu obike ctnelol slrn

    hnkuu, rlec seodolol oikesoz yipnk ve rlecnede hrilllhnkuu kurudnirki cunnilnr. Koer kurudnirki

    cunnilndiz.

    15,1L

    l

    ZZE )(

    hnur9

    39

    T)S(7

    77

    L

    lL

    lL

    lL

    lZE xx

    9

    L

    lL

    15,1L

    l

    _ucirkico rlecte rlecnedelol oikesoz hniric yipnkcigun ekonorse, econegonemec rlec siys6

    hnup, rlecnede kind yne91)!75(!7!5

    )!(!

    !

    lLl

    L

    l

    L

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    tecon ekonor.)()(

    oZ ob ooZb ZZo

    7

    )( ZZboo

    9,5 9 9,5 -9,5 7,75

    7,1 9 7,1 -9,1 9,11

    7,5 7 5,1 -1,5 1,51

    =,1 7 2,1 1,1 1,11

    =,5 7 0,1 1,5 1,51

    ;,1 9 ;,1 9,1 9,11;,5 9 ;,5 9,5 7,75

    [hpnid 91 =1 0,51

    Kindl hrtinidis6

    Kindl viryils6

    =91

    =1

    o

    oo

    b

    ZbZ

    05,191

    5,0)( 7

    7

    ooo

    xbZZb

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    ]tilkirt jiti6 ecnolke gunulur.

    Gu shlunir ctne piridetrenero cunnilniric yne enke ekonor.

    Gurikil stilkirt jiti hniric yiznr.

    Eer ctne stilkirt sipdis gonoldoyhrsi, hlul yerolerleol stilkirt sipdislkil jirecetne rlecnedekindll stilkirt jitisll tijdolo keero3

    hnur.

    91 ob

    05,1

    91

    5,0x

    =)( ZZE

    05,1)95

    75(7

    7)9

    (T)S(777

    L

    lL

    lZE x

    05,1x

    9

    L

    lL

    l

    sx

    Dercezo Nodot [ehredo rlecnerol econdo hnkuu ctnelol hrtinidisve viryils

    7 hnil gor hnisnc kindli sijop hnsul. Gu ctnelolkind lhrdin kindisi gone rlec hrtinidinirll

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    kind lhrdin kindisi gone rlec hrtinidinirllkind rlec jimdo gyc hndic ciykyni (l =1)hrtinidis ve viryils hnil lhrdin kindi

    yicnir. Gu kind stilkirt lhrdin kindi3

    bhrdn one kltrnr.

    Gu bhrdn rlecnedelol slrn ctnekel oikesoz yipndiskurudulki iikico econke yiznr.

    lx

    77

    l

    ZZV

    x

    9

    L

    lL

    l

    ZZV

    x

    rlec6Genno gor iptico enoc gor jinitl chpdi cuvvetololkindll hrtinidis 75 thl, stilkirt sipdis 2 thl hnil

    Hrtinidinirl rlecnede kind Qrhgned-

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    lhrdin kindi uydictikr.

    i) Gu ctnekel :1 gorodnoc gor rlec seonkoolke chpdicuvveto ool hrtinidinirl rlecnede kindl teconekoloz.

    g) econel rlecte chpdi cuvvetolol hrtinidisll 75,2 thl

    one 72,5 thl irislki hndi hnisnl jesipniylz.

    m) El ycsec %: hnisncni rleol hrtinidi chpdi cuvvetoel iz le hnigonor8

    Hrtinidinirl rlecnede kind Qrhgned-

    zd6i) 75 n2012

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    i)

    g)

    m)

    70,720,1

    755,72?,1

    20,1

    752,758)5,722,75(

    79

    VV

    ZQ

    70,7

    ?,1

    70,7

    1

    ?,1

    1

    9075,1=95?,1;::;,1)()()()70,7?,1( kzzbkzzbkzzbVQ

    ;,9;7,1)(1:,1)(1

    Vkzzbkzzbz

    z

    ?=:,7220,1

    75;,9

    Z

    ZZV

    x

    75 hnur.20,1:1

    l

    x

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    Hrilnirl rlecnede kind Uy`ul jin siysll ddcl jin siysli hril hniric obike

    ekonel hrilnir ctne ool (p), rlec ool one `steronor. cocn go ctn k c n gt cn ono

    )~(p

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    cn gor ctnekel ddcl hnil gtl rlecner seonophrilnir gor seroye kltrnklke kindll lhrdin

    hnkuu `rnr. Hrilnirl rlecnede kind hniriciknilkrnil gu kindl hrtinidi ve stilkirt sipdis(hrilnirl stilkirt sipdis yi ki stilkirt jiti) yne hnur.

    rlec jimdo gycse (l=1 ve l/L>1,15 ose hrilnirlkind lhrdine yicnir. Eer seod oikesoz yipnr ve

    l/L

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    rlec

    Genno gor piriy retel gor tez`jl retodolol %= ll cusurnuhnkuu gonoldectekor. Gu tez`j tiriblkil retonel 711 piriris`ene inlp duiyele ekonkoolke

    i) El bizni %7 solol cusurnu hndi hnisnl gunuluz.

    g) Cusurnu hrilll %; - %2 irislki hndi hnisnl gunuluz zd

    Hrilnirl rlecnede kindll hrtinidis6

    ]tilkirt jitis6

    l

    pq

    1=,1)~( ppE

    197,1711

    ?0,11=,1

    l

    pqp

    i) hnisn ool stilkirt keer3

    hnup hnisn6

    )17,1~( pQ

    :=,11971

    1=,117,1~

    V

    ppV

    Hrilnirl rlecnede kind

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    g) hnisn ool6

    ,197,1~p

    7?20,15,1)()()():=,1(

    :=,1 1 1

    :=,1

    kzzbkzzbkzzbVQ

    71==,1):=,1( VQ

    )12,1~1;,1( pQ

    :=,1197,1

    1=,11;,199

    VV 5,7

    197,1

    1=,112,177

    VV

    5,7

    :=,1

    5,7

    1

    :=,1

    1

    7?20,1;?=:,1)()()()5,7:=,1( kzzbkzzbkzzbVQ

    9?09,1)5,7:=,1( VQ

    Bircnirl rlecnede Kind Giz kurudnirki gor ctne hrtinidis yi ki hril yerole oco

    ctnelol hrtinidis yi ki hril lirislkico bircl kind oneon`onelonor. Gu bircl kindli gicniric oco ctne hrtinidisyi ki hril irislkico bircl ilnidn hnup hndikli yi ki

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    yi ki hril irislkico bircl ilnidn hnup hndikli yi ki`vel irinll le hnimili cirir veronegonor. rlec hniriciyl piriy retel oco oolol verodnonocnerolol bircn hnup

    hndik veyi retodnerolol cusurnu hrilnirll bircn hnuphndik iritrnigonor. co iriml genno gor yhnu indikitcettocnero hrtinidi yict doctirll bircn hnup hndikbircnirl kindl gondeyo `erectoror. Gu tr prhgnednerol

    zdlke hrtinidinirl yi ki hrilnirl kind one on`onozennocnerol gonoldeso `erecor. co Hrtinidill Bircll rlecnede Kind Eer l9ve l7gycnlkeco oco rissin rleol hrtinidinir

    sris one ose lol rlecnede kind lhrdinkindi yicnir ve gu kindl hrtinidi ve stilkirtsipdis (stilkirt jiti) yne obike ekonor.

    79 ZveZ 79 ZZ

    co hrtinidill bircll hrtinidis6)( ZZE

    Bircnirl rlecnede Kind

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    co hrtinidill bircll stilkirt sipdis (stilkirt jiti)6

    ye oco hrtinidi irislkico bircl stilkirt jitis ikveronor. Guriki econel rlecnerol gorgorolkel gidsz vectnelol slrsz hnkuu cigun ekondectekor. Eer ctne slrn

    seod oikeno yipnyhrsi yole yucirkico bhrdnner cunnilnr.Ctne slrn seod oikesoz yipnyhrsi stilkirt jitibhrdnle kzentde bictr onive ekonor.

    7979 )(79 ZZExx

    7

    7

    7

    9

    7

    9

    79 llxx

    79 xx

    Eer ctne slrn, seod oikesoz yipnyhr ve rlecnede hril(l/L)

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    slrn ctne kzentde bictr titgoc ekonor. Gu kurudkistilkirt jiti6

    rlec hrtinidinirll birc stilkirt keere ynekltrnr.

    hnur.secnolke97

    7

    7

    9

    7

    9

    79

    L

    lL

    llxx

    7

    7

    7

    9

    7

    9

    7979 )()(

    ll

    ZZV

    rlec6 I ve G dirci enectroc idpunll hrtinididrnerolol srisyni siit hnkuugonkorondotor. @edo veronerkel idpunnerol drnerolol

    stilkirt sipdinirll sris one siit hnkuu`rndtr. Jer oco dirci idpunkel ;1 ir gorodnoc rlecner

    5:1,211 GI

    711,951 GI

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    seonop dr testole tigo tutunkuulki3 i) I ll hrtinidisll G kel el iz =1 siit kiji bizni hndi

    hnisnl gunuluz. g) G lol hrtinidi drll I kil bizni hndi hnisnl

    gunuluz.

    zd6 i) stelel hniykr. Gulul ool rlecner gyc

    hnkuu ool lhrdin kindkil yirirnildic ddclkr.rlec hrtinidinir irislkico birc stilkirt keere yne

    kltrnr.

    =1))ZZQ(( GI

    75,15,=?

    91

    ;1

    711

    ;1

    951

    71=1)()(

    7777

    V

    ll

    ZZV

    G

    G

    I

    I

    GIGI

    g) stelel kurudukur. Gulul ool yolelhrdin kind cunnilniric zde `okonor.

    75,1 1

    75,1

    1;19,11??,15,1)()()()75,1( kzzbkzzbkzzbVQ

    )1)(( GI ZZQ

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    `

    59,15,=?

    71

    ;1

    711

    ;1

    951

    711)()(

    777

    V

    ll

    ZZV

    G

    G

    I

    I

    GIGI

    59,1 1 1

    59,1)()()()59,1( kzzbkzzbkzzbVQ

    .hnur=15,19?5,15,1)59,1( VQ

    co Hrill Bircll rlecnede Kind l9ve l7gycnlkeco oco rissin rleol hrilnir srisyni

    hndic zere hrilnirl bircll ( ) rlecnedekind lhrdin kindi yicnir ve gu kindl hrtinidi

    79 p~vep~ 79 p~p~

    xx

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    ve stilkirt sipdis yne hnur. (Guriki hnup,x96 9.rlecteco uy`ul jin siys, x76 7. rlecteco uy`ul jinsiysl `sterdectekor.)

    rlec hrilnirll birc stilkirt keere yne kltrnr.

    7

    77

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    ~~

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    7979~~ )~~(

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    79 lqp

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    7

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    7979 )()~~(

    l

    qp

    l

    qp

    ppppV

    rlec6 Iyl piriy yipil oco dicolelol cusurnu hrilnirllsrisyni p9 4 1,1= ve p7 4 1,17 hnkuu gonoldectekor. Gudicolenerkel gorolmosolol rettoo 711 piri, 7. dicolelol

    rettoo 951 piri test ekonkoolke 9. dicolelol cusurnu hrilll7. kel %7 kiji bizni hndi hnisn le hnur8

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    zd6 Qrhgnedke kurudu shrundictikr.

    Gulul ool (p9 p7) lol rlecnede kind koccite inliric Vkld yipnr.

    1,17)p~p~Q( 79

    2,11920,1

    19,1

    111702,1

    19,117,1

    951

    ?:,117,1

    711

    ?0,11=,1

    )17,11=,1(17,1)()~~(

    7

    77

    9

    99

    7979

    VVV

    l

    qp

    l

    qp

    ppppV

    7750,15,1)()()()2,1(

    2,1

    112,1

    kzzbkzzbkzzbVQ

    hnur.70;=,1)2,1( VQ

    Riryilsnirl rlecnede Kind[ild6 viryilsn lhrdin kindn

    gidsz ris`ene keocelner ve

    7

    79 ke`oscelo,....... ZZZ l

    )( 79

    ZZL

    77 )9( ]l

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    stitostoolol kindli v 4 l9 sergestnoc keremeno co-cirekind ik veronor. v lol eotno keernero ool hnisnc yhulnucbhlcsoyhlul `ribocnero iikico `ogokor.

    ose9

    97

    l] o 7

    7

    9

    )(

    l

    @iddi kindlki 4l/7, 47 ool Co-cire (7) kindenke ekonor. Co- cire kindll hnisnc yhulnuc bhlcsoyhluyne yiznr.

    77)7(

    exxl

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    Lhrdin gor ctnekel l gycnlke ddcl hnil gtlrlecner econerec jer gorolol viryils jesipnilrsi

    viryilsnirl rlecnede kind enke ekonor. v4 l-9 sergestnockeremesole kiyilil ve Co-cire (7) kindli uyil gukind yne yiznr.

    Co cire kindll keernero genno hnisnc ve sergestnockeremenerole gin hniric hnuturundu tignhnirkil gunulur.

    1

    )7(7

    )(7

    xl

    exxb

    l

    7

    7

    79 )9(

    sll

    ].k. (v) 1,?? 1,?: 1,?5 1,?1 1,05 1,51 1,91 1,15 1,1= 1,19

    9 1,11 1,11 1,11 1,17 1,91 1,;5 7,09 =,:; 5,17 2,2=

    7 1,17 1,15 1,91 1,79 1,5: 9,=? ;,29 5,?? 0,=: ?,79

    7

    Co-cire crotoc keernero tignhsu

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    = 1,99 1,77 1,=5 1,5: 9,79 7,=0 2,75 0,:9 ?,=5 99,=;

    ; 1,=1 1,;: 1,09 9,12 9,?7 =,=2 0,0: ?,;? 99,9; 9=,7:5 1,55 1,:= 9,95 9,29 7,20 ;,=5 ?,7; 99,10 97,:= 95,1?

    2 1,:0 9,7; 9,2; 7,71 =,;5 5,=5 91,2; 97,5? 9;,;5 92,:9

    0 9,7; 9,2? 7,90 7,:= ;,75 2,=5 97,17 9;,10 92,19 9:,;:

    : 9,25 7,9: 7,0= =,;? 5,10 0,=; 9=,=2 95,59 90,5= 71,1?? 7,1? 7,01 =,== ;,90 5,?1 :,=; 9;,2: 92,?7 9?,17 79,20

    91 7,52 =,75 =,?; ;,:0 2,0; ?,=; 95,?? 9:,=9 71,;: 7=,79

    99 =,15 =,:7 ;,50 5,5: 0,5: 91,=; 90,7: 9?,2: 79,?7 7;,07

    97 =,50 ;,;1 5,7= 2,=1 :,;; 99,=; 9:,55 79,1= 7=,=; 72,77

    9= ;,99 5,19 5,:? 0,1; ?,=1 97,=; 9?,:9 77,=2 7;,0; 70,2?

    9; ;,22 5,2= 2,50 0,0? 91,90 9=,=; 79,12 7=,2: 72,97 7?,9;

    95 5,7= 2,72 0,72 :,55 99,1; 9;,=; 77,=9 75,11 70,;? =1,5:

    ].k. (v) 1,?? 1,?: 1,?5 1,?1 1,05 1,51 1,91 1,15 1,1= 1,19

    92 5,:9 2,?9 0,?2 ?,=9 99,?9 95,=; 7=,5; 72,=1 7:,:5 =7,11

    90 2,;9 0,52 :,20 91,1? 97,0? 92,=; 7;,00 70,5? =1,9? ==,;9

    9: 0,19 :,7= ?,=? 91,:2 9=,2: 90,=; 75,?? 7:,:0 =9,5= =;,:99? 0,2= :,?9 91,97 99,25 9;,52 9:,=; 70,71 =1,9; =7,:5 =2,9?

    71 : 72 ? 5? 91 :5 97 ;; 95 ;5 9? =; 7: ;9 =9 ;9 =; 90 =0 50

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    71 :,72 ?,5? 91,:5 97,;; 95,;5 9?,=; 7:,;9 =9,;9 =;,90 =0,50

    79 :,?1 91,7: 99,5? 9=,7; 92,=; 71,=; 7?,27 =7,20 =5,;: =:,?=

    77 ?,5; 91,?: 97,=; 9;,1; 90,7; 79,=; =1,:9 ==,?7 =2,0: ;1,7?

    7= 91,71 99,2? 9=,1? 9;,:5 9:,9; 77,=; =7,19 =5,90 =:,1: ;9,2;

    7; 91,:2 97,;1 9=,:5 95,22 9?,1; 7=,=; ==,71 =2,;7 =?,=2 ;7,?:

    75 99,57 9=,97 9;,29 92,;0 9?,?; 7;,=; =;,=: =0,25 ;1,25 ;;,=9

    72 97,71 9=,:; 95,=: 90,7? 71,:; 75,=; =5,52 =:,:? ;9,?7 ;5,2;

    70 97,:: 9;,50 92,95 9:,99 79,05 72,=; =2,0; ;1,99 ;=,9? ;2,?2

    7: 9=,52 95,=9 92,?= 9:,?; 77,22 70,=; =0,?7 ;9,=; ;;,;2 ;:,7:

    7? 9;,72 92,15 90,09 9?,00 7=,50 7:,=; =?,1? ;7,52 ;5,07 ;?,5?=1 9;,?5 92,0? 9:,;? 71,21 7;,;: 7?,=; ;1,72 ;=,00 ;2,?: 51,:?

    ;1 77,92 7;,;= 72,59 7?,15 ==,22 =?,=; 59,:9 55,02 5?,=; 2=,2?

    51 7?,09 =7,=2 =;,02 =0,2? ;7,?; ;?,== 2=,90 20,51 09,;7 02,95

    [IGNH6 Hnisncniri Cirnc @enel Co-cire ( ) Keernero [ignhsu7

    ]erg.Hnisncnir (9-)

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    Keremeso 1,19 1,175 1,15 1,9 1,7 1,? 1,?5 1,?05 1,??

    9 1,11 1,11 1,11 1,17 1,12 7,09 =,:; 5,17 2,2=

    7 1,17 1,15 1,91 1,79 1,;5 ;,29 5,?? 0,=: ?,79

    = 1,99 1,77 1,=5 1,5: 9,19 2,75 0,:9 ?,=5 99,=;

    ; 1,=1 1,;: 1,09 9,12 9,25 0,0: ?,;? 99,9; 9=,7:

    5 1,55 1,:= 9,95 9,29 7,=; ?,7; 99,10 97,:= 95,1?

    2 1,:0 9,7; 9,2; 7,71 =,10 91,2; 97,5? 9;,;5 92,:9

    0 9,7; 9,2? 7,90 7,:= =,:7 97,17 9;,10 92,19 9:,;:

    : 9,25 7,9: 7,0= =,;? ;,5? 9=,=2 95,59 90,5= 71,1?

    ? 7,1? 7,01 =,== ;,90 5,=: 9;,2: 92,?7 9?,17 79,20

    91 7,52 =,75 =,?; ;,:0 2,9: 95,?? 9:,=9 71,;: 7=,79

    99 =,15 =,:7 ;,50 5,5: 2,?? 90,7: 9?,2: 79,?7 7;,07

    97 =,50 ;,;1 5,7= 2,=1 0,:9 9:,55 79,1= 7=,=; 72,77

    9= ;,99 5,19 5,:? 0,1; :,2= 9?,:9 77,=2 7;,0; 70,2?

    ]erg.Keremeso

    Hnisncnir (9-)

    1,19 1,175 1,15 1,9 1,7 1,? 1,?5 1,?05 1,??

    9; ;,22 5,2= 2,50 0,0? ?,;0 79,12 7=,2: 72,97 7?,9;

    95 5,7= 2,72 0,72 :,55 91,=9 77,=9 75,11 70,;? =1,5:92 5,:9 2,?9 0,?2 ?,=9 99,95 7=,5; 72,=1 7:,:5 =7,11

    90 2 ;9 0 52 : 20 91 1? 97 11 7; 00 70 5? =1 9? == ;9

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    90 2,;9 0,52 :,20 91,1? 97,11 7;,00 70,5? =1,9? ==,;9

    9: 0,19 :,7= ?,=? 91,:2 97,:2 75,?? 7:,:0 =9,5= =;,:9

    9? 0,2= :,?9 91,97 99,25 9=,07 70,71 =1,9; =7,:5 =2,9?71 :,72 ?,5? 91,:5 97,;; 9;,5: 7:,;9 =9,;9 =;,90 =0,50

    79 :,?1 91,7: 99,5? 9=,7; 95,;; 7?,27 =7,20 =5,;: =:,?=

    77 ?,5; 91,?: 97,=; 9;,1; 92,=9 =1,:9 ==,?7 =2,0: ;1,7?

    7= 91,71 99,2? 9=,1? 9;,:5 90,9? =7,19 =5,90 =:,1: ;9,2;7; 91,:2 97,;1 9=,:5 95,22 9:,12 ==,71 =2,;7 =?,=2 ;7,?:

    75 99,57 9=,97 9;,29 92,;0 9:,?; =;,=: =0,25 ;1,25 ;;,=9

    72 97,71 9=,:; 95,=: 90,7? 9?,:7 =5,52 =:,:? ;9,?7 ;5,2;

    70 97,:: 9;,50 92,95 9:,99 71,01 =2,0; ;1,99 ;=,9? ;2,?27: 9=,52 95,=9 92,?= 9:,?; 79,5? =0,?7 ;9,=; ;;,;2 ;:,7:

    7? 9;,72 92,15 90,09 9?,00 77,;: =?,1? ;7,52 ;5,07 ;?,5?

    =1 9;,?5 92,0? 9:,;? 71,21 7=,=2 ;1,72 ;=,00 ;2,?: 51,:?

    rlec6 Gor didunl retod sresolol lhrdin kink veviryilsll 95 kicoci hnkuu gonoldectekor. Gu didunlretod sreso ris`ene seonel 71 didun `znednelkoolkerlecnerol retod sresolol viryilsll el kc % 91hnisncni inigonemeo el gyc keer le hnur8

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    y

    zd6

    Reronelner67495 l471, 9-41,941,?

    95

    9?25,99

    95

    )971(25,99

    )9( 77

    7

    77

    9

    sssll

    hnur.kc.?,9?0s7

    Riryils hrilnirll rlecnede kind (B kind)

    Eer Z9ve Z7d ve l sergestnoc keremenerole sijop co- cire

    kind `sterel gorgorolkel gidsz oco rissin keocel ose9Z

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    d ve l sergestnoc keremenerolke B kindli uyir.

    co lhrdin ctnelol viryilsnirll cirnitrndislki Bkindlkil biykinilnr. B kindll hnisnc bhlcsoyhlu

    yne yiznr.

    7

    dB

    Zl

    1)9(

    )()!

    7

    7()!

    7

    7(

    )!7

    7(

    )(7

    )(

    7)7(

    7

    yy

    l

    d

    y

    l

    d

    ld

    ld

    yb ld

    d

    d

    Giz kurudnirki oco ctne viryilsnirll cirnitrndis`erecegonor. oco bircn ctnelol gonoldeyel viryilsnirhndic zere gu ctnenerkel econel rlecnerol viryilsnir

    ctne viryilsnirll tijdolnero hnur. Gu rlecviryilsnirlkil jirecetne ctne viryilsnir cirnitrnigonor,

    7

    7

    7

    9 ve

    77

    79 sves

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    jophtezner test ekonegonor, `vel irincnir hnuturunigonor.

    Gorgorolkel gidsz oco co-cire kindn viryilsl hril Bkindli uy`ul hniric kinr.

    Guriki piyl sergestnoc keremeso d-9, piykill sergestnockeremeso l-9 hnup B kind gu oco piridetreye gin hnirickinr. B kind ool genno hnisncnir ve d-9, l-9sergestnoc keremenero ool hnisnc tignhnirlkil biykinilnr.

    7

    9

    7

    97

    7

    7

    7

    s

    Bs

    Qiyl sergestnoc keremeso 4 1,19Qiykillsergestnc

    Keremeso 9 7 = ; 5 2 0 : ? 91

    9 ;157,7 ;???,5 5;1=,; 5;1=,; 502=,2 5:5?,1 5?7:,; 5?:9,9 2177,5 2155,:

    7 ?:,5 ??,1 =,: ??,7 ??,= ??,= ??,; ??,; ??,; ??,;

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    = =;,9 =1,: ;,1 7?,5 7:,7 70,? 70,0 70,5 70,= 70,7

    ; 79,7 9:,1 ;,; 92,0 95,5 95,7 95,1 9;,: 9;,0 9;,55 92,= 9=,= ;,? 97,9 99,1 91,0 91,5 91,= 91,7 91,9

    2 9=,0 91,? 5,= ?,: :,0 :,5 :,= :,9 :,1 0,?

    0 97,7 ?,5 5,0 :,5 0,5 0,7 0,1 2,: 2,0 2,2

    : 99,= :,2 2,1 0,2 2,2 2,; 2,7 2,1 5,? 5,:? 91,2 :,1 2,7 0,1 2,9 5,: 5,2 5,5 5,; 5,=

    91 91,1 0,2 2,2 2,2 5,2 5,; 5,7 5,9 ;,? ;,:

    99 ?,2 0,7 2,2 2,7 5,= 5,9 ;,? ;,0 ;,2 ;,5

    97 ?,= 2,? 0,1 2,1 5,9 ;,: ;,2 ;,5 ;,; ;,=

    9= ?,9 2,0 0,1 5,0 ;,? ;,2 ;,; ;,= ;,7 ;,9

    9; :,? 2,5 0,1 5,2 ;,0 ;,5 ;,= ;,9 ;,1 =,?

    95 :,0 2,; 0,2 5,; ;,2 ;,= ;,9 ;,1 =,? =,:

    Qiykil]ergestkeremes

    (Kevid) Qiyl sergestnoc keremeso 4 1,19

    9 7 = ; 5 2 0 : ? 91

    92 :,5 2,7 0,2 5,= ;,; ;,7 ;,1 =,? =,: =,0

    90 :,; 2,9 0,2 5,7 ;,= ;,9 =,? =,: =,0 =,29: :,= 2,1 0,2 5,9 ;,7 ;,1 =,: =,0 =,2 =,5

    9? : 7 5 ? 0 2 5 1 ; 7 = ? = : = 2 = 5 = ;

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    9? :,7 5,? 0,2 5,1 ;,7 =,? =,: =,2 =,5 =,;

    71 :,9 5,: 0,2 ;,? ;,9 =,? =,0 =,2 =,5 =,;79 :,1 5,: 0,2 ;,? ;,1 =,: =,2 =,5 =,; =,=

    77 0,? 5,0 0,2 ;,: ;,1 =,: =,2 =,5 =,= =,=

    7= 0,? 5,0 :,5 ;,: =,? =,0 =,5 =,; =,= =,7

    7; 0,: 5,2 :,5 ;,0 =,? =,0 =,5 =,; =,= =,7

    75 0,: 5,2 :,5 ;,0 =,? =,2 =,5 =,= =,7 =,9

    72 0,0 5,5 :,5 ;,2 =,: =,2 =,; =,= =,7 =,9

    70 0,0 5,5 :,5 ;,2 =,: =,2 =,; =,= =,9 =,9

    7: 0,2 5,5 :,5 ;,2 =,: =,5 =,; =,7 =,9 =,1

    7? 0,2 5,; :,5 ;,5 =,0 =,5 =,= =,7 =,9 =,1

    =1 0,2 5,; :,5 ;,5 =,0 =,5 =,= =,7 =,9 =,1

    Qiykill

    sergestnc

    Keremeso

    Qiyl sergestnoc keremeso 4 1,15

    9 7 = ; 5 2 0 : ? 91

    9 929,; 9??,5 792 77;,2 7=1,7 7=; 7=2,: 7=:,? 7;1,5 7;9,?

    7 9:,59 =,555 9?,7 9?,75 9?,= 9?,== 9?,=5 9?,=0 9?,=: 9?,;= 91,9= ;,91= ?,7: ?,990 ?,19= :,?;9 :,::0 :,:;5 :,:97 :,0:2

    ; 0 01? ; 0=0 2 5? 2 =:: 2 752 2 92= 2 1?; 2 1;9 5 ??? 5 ?2;

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    ; 0,01? ;,0=0 2,5? 2,=:: 2,752 2,92= 2,1?; 2,1;9 5,??? 5,?2;

    5 2,21: 5,9;= 5,;9 5,9?7 5,15 ;,?5 ;,:02 ;,:9: ;,007 ;,0=5

    2 5,?:0 5,0:2 ;,02 ;,5=; ;,=:0 ;,7:; ;,710 ;,9;0 ;,1?? ;,12

    0 5,5?9 5,0:2 ;,=5 ;,97 =,?07 =,:22 =,0:0 =,072 =,200 =,2=0

    : 5,=9: 5,0:2 ;,10 =,:=: =,2:0 =,5:9 =,5 =,;=: =,=:: =,=;0

    ? 5,990 5,0:2 =,:2 =,2== =,;:7 =,=0; =,7?= =,7= =,90? =,9=091 ;,?25 2,?;; =,09 =,;0: =,=72 =,790 =,9=5 =,107 =,17 7,?0:

    99 ;,:;; 2,?;; =,5? =,=50 =,71; =,1?5 =,197 7,?;: 7,:?2 7,:5;

    97 ;,0;0 2,?;; =,;? =,75? =,912 7,??2 7,?9= 7,:;? 7,0?2 7,05=

    9= ;,220 2,?;; =,;9 =,90? =,175 7,?95 7,:=7 7,020 7,09; 7,209

    9; ;,2 2,?;; =,=; =,997 7,?5: 7,:;: 7,02; 7,2?? 7,2;2 7,217

    95 ;,5;= 2,?;; =,7? =,152 7,?19 7,0? 7,010 7,2;9 7,5:: 7,5;;

    Kindl si umu () ool B kind crotoc keernerolo d-9 vel-9 sergestnoc keremenerole gin hniric B tignhsulkilkhrukil hcuyigonoroz.

    Kindl shn umu yilo (9- ) ool crotoc keernero tignhkilkhrukil hcudic ddcl keonkor. Gulul ool hnisnlic n c 9 9 g noc k n o g n n c nk

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    cirnc l-9 ve d-9 sergestnoc keremenerole gin hniric enke

    ekonel tignh keerolol terso inliric crotoc keerner enke ekonor. Iikico econke gu kurud `sterondotor.

    rlec6Riryilsnir iyl hnil oco ctnekel 9. solkel ?, 7. solke 0rlec ris`ene seonkoolke viryils hrilnirll

    i) el ycsec %5 hnisncni inigonemeo dolodud keero tijdol

    ekoloz. g) el kc %9 hnisncni viryils hrilnirll inigonemeo dicsodudkeero gunuluz.

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    zd6 i)

    g)

    1,?? B tignhsu hndik ool

    1,19 B tignhsuli gicnr ve

    iikico oned yipnr

    hnur.9;0,;90,9?,15,19,9, BB ld

    90,9?,??,190,9?,19,1

    9,9,9,9,9

    BB

    BB ldld

    952,1;,2

    9

    9

    9?,90,19,1

    90,9?,??,1

    B

    B

    rlec Gor civicti crdz c ojnino yipil irinirl

    hrilll%: hnkuu gonkorondotor. Gu civicti 911 iri`znednelkoolke3

    i) El bizni %;ll crdz c ojnino yipdi hnisn le

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    i) El bizni %; ll crdz c ojnino yipdi hnisn le

    hnur8

    rlec kevid g) El iz %2sll crdz c ojnino yipdi hnisn le

    hnur8

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    m) colmo gor civicti crdz c ojninolol hrilll %91hnkuu gonkorondotor. Gu civicti 971 iri`znedneloyhr. Gorolmo civictico crdz c ojninolol 7.

    civictil bizni hndi hnisn le hnur8

    stitostoc [ijdol ve @vel irincnir

    Lhcti tijdolo ve irinc tijdolo [ijdolnerke irilil zennocnero

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    @vel Irincnir Ctne hrtinidis ool `vel irin Ctne hril ool `vel irin

    co ctne hrtinidisll bircll `vel irin co ctne hrilll bircll `vel irin Riryilsnirl `vel irin co ctne viryilsll hrilnirll `vel irin rlec jimdolol genorneldeso

    stitostoc tijdol ve `vel irincnir [ijdol6Icn, sez`o yhnuyni yi ki kerneldo hnil veroner ve

    ostitostoc teclocner yirkdyni gor hniyl inimi keernerjicclki cestorod yipdi onedole tijdol ik veronor.stitostocte rlee kiyiliric ctne piridetrenerololt j o n o n gon ct ko Ctn t o o t j o o

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    tijdolnero yipnigondectekor. Ctne piridetresolol tijdolo

    ool tec gor keer gunuligonemeo `ogo gor keerner irin kigunuligonor. Gu segepne tijdol lhcti ve irinc tijdoloecnolke oco csdki olmenelor. [ijdol yhnuli, zennocne ilicotnelol hc gyc hnkuu ve piridetrenerol khrukil

    jesipnildisll ddcl hndik kurudnirki yi kizidil ve dinoyet cstnirll virn jinnerolkegivurundictikr.

    Lhcti tijdolo6 Gonoldeyel gor ctne piridetresolo tijdol

    etdec ool cunnilnil rlec ostitostoole tijdol ekomokelor.Gor tijdol ekomolol gor tec keerne obike ekondesole lhctitijdolo ik veronor. Ctne hrtinidis ll tijdolmoso ,Ctne viryilsll tijdolmoso s7 gorer lhcti tijdolokor.

    Z7

    [ijdol ekomonerke irilil ostitostoc zennocner

    [ijdol ekomonerol sijop hndis `erecel ostitostoc zennocnerolo

    yne srinidic ddclkr. 9. ]ipdisznc6 Eer gor rlec ostitostoolol gecnelel keero

    tijdol ekondec ostelel ili ctne piridetresole eot ose sz

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    tijdol ekondec ostelel ili ctne piridetresole eot ose, sz

    chlusu ostitostoc ili cotne piridetresolol sipdisz(sosteditoc jiti oerdeyel) gor tijdolokor.

    sipdisz tijdolmonerokor.

    ikeno seod jinolke rlecned viryils, ili cotne viryilsllsipdisz gor tijdolokor. _ilo3 kor. Iyl s7 oikesozseodke ose, 7 ool sipdin gor tijdol hndictikr. Gu

    kurudki7 sipdisz tijdolmoso3

    lolpvesorisoynipveZoseppEZE '~)~(,)(

    77 sE

    hnur.9l

    lsE 7

    7

    [ijdol ekomonerke irilil ostitostoc zennocner

    7. [utirnnc6rlec jimdo irtircel tijdol ekomo tijdolekondec ostelel ctne piridetresole yicniyhrsi gu tijdolekomoye tutirn tijdol ekomo ik veronor. rlec hrtinidis,l gykce ye yicniimictr. l L `okercel

    Z

    Z

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    hnur. lc, l 4 L kurudulki 4 hnimictr. _ilo, tijdol

    jitis sbri eot hnur. Ilmic sipdisznc ve tutirnnc `erecno hndicni geriger yeterno

    keonkor. lc sipdisz hndiyil gor tijdol ekomolol tutirnhndis ddclkr.

    =. Etcolnoc6[utirn tijdol ekomoner irislkil gorolol seondesoostelkoolke seod etcolnoc croterole `re yipnr. [ijdolekomonerol etcolnoo viryilsnirli kiyilr. Jil`o rlecostitostoolol kind kiji cc viryilsi sijopse, tijdol

    hniric h ostitostoc termoj ekonor. ll oco sipdisz tijdolmoso hnsul

    ose kel kiji etcolkor kelor.

    Z

    79 ve )()( 79 RirRir

    79,

    Etcolnool ns hniric iikico hril cunnilnr.

    Gu hril 9 kel ccse tijdolmo, icso jinke etcol tijdolmokor. rlec6Iyl rlec jimdo ool rlec irotdetoc hrtinidis ve

    7

    9

    Rir

    RirEtcolnoc 97

    [ijdol ekomonerke irilil ostitostoc zennocner

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    y rlec dekyillkil jil`osolol etcol hnkuulu genorneyoloz.

    Hnkuulkil irotdetoc hrtinidi dekyilkil kiji etcoltijdol ekomokor.

    _eternonoc6Gor tijdol ekomo tijdol ekondec ostelel piridetre

    jicclki rlecte gunulil gtl veroyo cunnilyhrsi gutijdol ekomolol yeterno hnkuu synelor. Guli `re rlecirotdetoc hrtinidis ve hril yeterno tijdol ekomoner hnkucnirjinke dhk ve dekyil yeterno tijdol ekomoner keonkor.

    lDekyilRir

    lZRir

    7)()(

    77

    2;,17

    7

    /

    )(

    )(

    7