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    ATDQABM MDMGÊLJDM Y[HFATJHOMB GA M[]QJWADWQ[M Z Q[KMOJTLH

    WH[[A AJFFABFJTJDM @AOA[MB

    GHDAOWA

    Abvjs Earlas Lmbmkar

    JOWA@[MOWAT

    Ast. Mrq. Dhotrarms [hkbas [jdeabAst.Mrq. [ujz Kmdm Agar

    Ast. Mrq. Tjfuaotas Sóýj`m ZmojraAst. Mrq. Vjbbmouavm Whrras Krjsom

    TALATW[A MDMGÊLJDH

    ;9=1 - ;

    DEJLKHWA — YA[Ó

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    JOW[HGQDDJHO

    Bm mrqujtadturm gab sj`bh UJU h Mrqujtadturmgab Ejarrh a Jogustrjmb, sur`jô dho bhs afadthsga bmravhbudjôo jogustrjmb qua sa ejzhsaotjr ao thghs bhs ílkjths ga bm vjgmdhotalphríoam. Ab vartj j̀ohsh prh`rashtadohbô`jdh fua ab vargmgarh rasphosmkba.

    Bm mrqujtadturm, dhlh gjsdjpbjom luymfadtmgm phr bm tadohbh`ìm, saotjrí gauom fhrlm luy suparjhr m bms ga bmshtrms mrtas pbístjdms bhs mvmodas quagasga lagjmghs gab sj`bh UVJJJ sa

    vjojarho sudagjaogh ao ab ílkjthaspadìfjdh ga bhs lmtarjmbas fmdtjkbasga sar mpbjdmghs m bm dhostruddjôo.

    Ymbmdjh ga drjstmb ga Chsape Ymxtho, BhograsBm Whrra Ajffab, jojdjmblaotaohlkrmgm ‒Whur ga 499 låtras“(Whrra ga 499 latrhs), as uomastrudturm ga ejarrh pugabmghgjsaýmgm phr Lmurjda Nhadebjoy Êljba Ohu`ujar y dhostrujgmphr ab jo`aojarh frmodês@ustmva Ajffab y susdhbmkhrmghras dho lhtjvh ga bmAxphsjdjôo Qojvarsmb ga =55:.

    M[]QJWADWQ[M GA EJA[[HJOJDJHT WH[[A AJFFAB

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    Galhstrmr bm jlphrtmodjm ga bm fìsjdm ao bm WhrraAjffab.

    Mombjzmr bm Whrra Ajffab ao su mspadth `aoarmb, fhrlmb,aspmdjmb, astrudturmb y kjhdbjlítjdh.

    HKCAWJVHT

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    FQOGMLAOWH WAH[JDH

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    J. ATW[QDWQ[M Z M[]QJWADWQ[M

    ATW[QDWQ[MWADOHBH@JDM

    THBJGASDHOTW[QDWJVH - WADOHBH@JDH

    ATW[QDWQ[MFJ@Q[MWJVMKABBASM

    ATWAWJDM - JLM@AO

    ATW[QDWQ[M ATYMDJMBQWJBJGMG

    DHOWAUWH THDJMB - FQODJHOMB

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    ATW[QDWQ[M

    ATW[QDWQ[M

    FQODJHO

    FQODJHO

    DM[@MT

    DM[@MT

    ATFQA[SHT

    ATFQA[SHT

    ABALAOWHT

    ABALAOWHT

    YJBM[AT

    YJBM[AT

    VJ@MT

    VJ@MT

    WJ[MOWAT

    WJ[MOWAT

    M[DHT

    M[DHT

    DJLJAOWH

    DJLJAOWH

    WJYHT

    WJYHT

    OMWQ[MBAT

    OMWQ[MBAT

    M[WJFJDJMBAT

    M[WJFJDJMBAT

    AUJ@AODJMT KMTJDMT

    AUJ@AODJMT KMTJDMT

    FQODJHOMBJGMG

    FQODJHOMBJGMG

    ATWAWJDM

    ATWAWJDM

    [ATJTWAODJM

    [ATJTWAODJM

    A]QJBJK[JH

    A]QJBJK[JH

    ATWMKJBJGMG

    ATWMKJBJGMG

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    TA@ÓO TQ H[J@AOTA@ÓO TQ H[J@AO

    @[MVJWMDJHOMBAT

    AHBJDMT

    TJTJLJDMT

    GAFH[LMDJHOAT

    TA@ÓO TQ ATWMGHJOA[DJMB

    TA@ÓO TQ ATWMGHJOA[DJMB

    ATWMWJDHT

    LHVJBAT

    TA@ÓO TQ MYBJDMDJÔOTA@ÓO TQ MYBJDMDJÔO

    MDDJGAOWMBAT

    YA[LMOAOWAT

    TA@ÓO TQ QKJDMDJÔOAO AB ATYMDJH

    TA@ÓO TQ QKJDMDJÔOAO AB ATYMDJH

    DHODAW[MGMT

    GJTW[JKQJGMT

    Fuarzm ga bm `rmvagmgGjraddjôo ga vjaothAgjfjdjhs ga Lmoemttmo

    Hrj`ao ga uo sjslh

    Gjbmtmdjôo ga bhs latmbas

    Dmr`m gab lôvjb

    Gjraddjôo gab lôvjb

    Dmr`ms parlmoaotas (Lurhs)Dmr`ms mddjgaotmbas(parshoms, luakbas)

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    ATFQA[SH GA DHLY[AOTJHO

    ATFQA[SH GA FBAUJHOATFQA[SH GA WH[DJHO

    ATFQA[SH GA W[MDDJHO

    ATFQA[SH GA DH[WA

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    Yjbmr djbìogrjdh

    Asfuarzh ga dhlpraosjôo

    FbaxjôoVj`ms ga mdarh

    Dhrta

    Wrmddjôo

    Djljaoth ga Dhodrath

    Dhlpraosjôo

    WJ[MOWAYJBM[

    VJ@M DJLJAOWH

    M[DH

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    Whrra patrhom,lmbmdjm

    ATW[QDWQ[M M[WJFJDJMB

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    Wamtrh ga Pmbt Gjsoay Gmr aotrataojljaoth m sus usumrjhs

    FQODJÔO

    [ATJTWAODJM

    ATWAWJDM Qom ga bms `rmogas vaotmcms gabmbuljojh as su bj àrazm. As bj àrhgasga uo puoth ga vjstm têdojdh dhouom axdabaota rabmdjôo rasjstaodjm -pash qua em eadeh phsjkba dhostrujrmb`uohs ga bh agjfjdjhs lhgarohs lísaspadtmdubmras ga bhs óbtjlhstjalphs.

    Mgalís, abmbuljojh as bj`arhm bm vjstm, bh quaemda qua sam uolmtarjmb luymtrmdtjvh.

    Joastmkjbjgmg gakjgm mb vjaoth h sjslh(mddjhoas ehrjzhotmbas)

    Joastmkjbjgmg gakjgm m msaotmljaoth jrra`ubmr

    Joastmkjbjgmg gakjgm mb gaspbmzmljaoth gab tarraoh

    FQODJHOMBJGMG

    ATWAWJDM Z [ATJTWAODJM

    ATWMKJBJGMG

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    JJ. GJBMWMDJHO WA[LJDM

    Mb dmbaotmr uo lmtarjmb sus pmrtìdubms sa m`jtmolís y asth prhguda ab mulaoth gab vhbulao gablmtarjmb .

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    GJBMWMDJHO BJOAMB

    GJBMWMDJHO TQYA[FJDJMB

    GJBMWMDJHO DQKJDM

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    MOMBJTJT GA BM WH[[A AJFFAB

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    J. MTYADWH @AOA[MB

    @ustmva Ajffab Ttapeao Tmuvastra Lmurjda Nhadebjo Aljba Ohu`ujar

    Lmrzh ga =55:,vjstm `aoarmb gabm hkrmtarljomgm.

    TADQAODJM FHWH@[ÍFJDM GA BM DHOTW[QDDJÔO GA BM WH[[A GATGA CQBJH GA =550 MLM[SH GA =55:

    0 ga gjdjalkra ga=550, lhotmca shkrabhs phstas gamrlmzôo.

    =5 ga cubjh ga =550,dhljaozh gab pjbmro¹ 7.

    .;9 ga lmrzh ga =555,lhotmca ga bms vj̀ msehrjzhotmbas shkra abmogmljmca daotrmb.

    =1 ga lmyh ga =555,lhotmca ga bhs pjbmrasphr aodjlm gab prjlarpjsh.

    ;= ga m`hsth ga=555, lhotmcaga bm sa ùogmpbmtmfhrlm.

    ;6 gaGjdjalkra ga=555, lhotmcaga bm pmrtasuparjhr.

    Mrqujtadth, mrqujtadths têdojdhs a jo`aojarh

    Mýh ga dhostruddjôo

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    Tjtumgm ao ab axtralh gab Dmlph ga Lmrta m bm hrjbbm gab rìh Taom, ao ab dhotjoaota ga Aurhpm, pmìs ga Frmodjmdmpjtmb ga Ymrjs.

    QKJDMDJÔO

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    JJ. MTYADWH FH[LMB

    TJLAW[JM

    [JWLHTa abj`a abdhbhr "lmrrôo Whrra Ajffab"phr su mrlhoìm dho ab pmjsmcapmrjsjoh. Ta ga`rmgm ao tras thohs,gab lís hsdurh mkmch mb lís dbmrhmrrjkm

    DHBH[ Z M[LHOJM

    QOJGMG

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    ABALAOWHTEH[JSHOWMBATABALAOWHT

    VA[WJDMBAT

    Bm Whrra Ajffab as uomastrudturm mkjartm,abalaoth qua baprhphrdjhom lmyhrbj`arazm, uom thrra askabtmqua `umrgm sjlatrìm ymrlhoìm.

    As uom hr`mojzmdjôo daotrmb, bm Whrra Ajffab aovuabvauo aspmdjh ao su pbmotm kmcm ghoga sa hr`mojzm thghsbhs galís aspmdjhs.

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    JJJ. MTYADWH ATYMDJMB

    Ybmoh kmsa

    Ybmoh abavmgh

    Yjbmras

    Yjbmras

    Mrdhs

    410.19l

    49:.64l

    =7:.;4l

    :=.=4l

    4;7l

    ;06.=4l

    ==1.04l

    10.67l

    Mbturm shkra ab ojvab gab suabh

    Mbturm shkra ab ojvab gab lmr

    KMTA3 Bm thrra sa msjaotm ao uodumgrmgh =;1 l ga bmgh

    Y[JLA[ OJVAB3 Yhsaa uomsuparfjdja ga 1799 l; y aspmdjhpmrm 4999 parshom

    TA@QOGH OJVAB3 Yhsaauom suparfjdja ga =619 l;mprhxjlmgmlaota. Mbragaghr ga =699 parshoms puagaoparlmoadar meì.

    WA[DA[ OJVAB3 Yhsaauom suparfjdja ga 419 l;mprhxjlmgmlaota. Mbragaghr ga 799 parshoms puagaoparlmoadar meì.

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    DJLMBm hfjdjom ga @ustmva Ajffab3 Dhlpuastm phr parshomcas rambjstmseadehs ao darm, astm asdaom raprasaotm mb dhostrudthr ga bm thrra ysu ejcm Dbmjra radjkjaogh mb fmlhsh jovaothr mlarjdmoh, WehlmsAgjsho. Aotra htrms dhsms, tmlkjêo sa puaga var ab fhoô`rmfh quaêsta óbtjlh ba ra`mbô m @ustmva Ajffab.

    Ab kmr ga demlpío3 Bm kmrrm gab kmr, jodrustmgm ao bm astrudturmgab lhoulaoth, hfrada bm phsjkjbjgmg ga thlmr uom dhpm gademlpío rhsmgh h kbmodh, sarvjgh frìh m `usth gab dbjaota. ¡]uêfhrlm tmo aba`mota ga krjogmr phr uo lhlaoth johbvjgmkba ao bmdjlm ga bm thrra! Ab kmr astí mkjarth thghs bhs gìms ga =;e m ;;e(dhpm ga =; ₢ m ;= ₢).

    TA@QOGM YBMOWMBms tjaogms ga shuvaojrs3 [adhrrm uom ga bms trastjaogms ga shuvaojrs. Ao abbms aodhotrmrí uom mlpbjmsabaddjôo ga tmrcatms phstmbas y ga mrtìdubhs ga bm WhrraAjffab y Ymrìs pmrm emdar uo ra`mbh m sus mlj`hs h pmrmtaoar uo raduargh ga su vjsjtm.[astmurmota Cubas Varoa3 Gêcasa shrpraogar phr bm`mstrhohlìm frmodasm lhgarom pmrm gjsfrutmr ga uomaxparjaodjm vjsumb y dubjomrjm óojdm, y thgh abbh ao uoaothroh ga gjsaýh y uo mlkjaota dujgmgh.Ao ab pjbmr sur, m pja ga dmbba, emy uo mddash prjvmgh pmrmbhs dbjaotas gab Cubas Varoas.

    Y[JLA[M YBMOWMAb suabh trmospmraota3 Dho su suabh trmospmraota y sus ouavmskmrmogjbbms mdrjstmbmgms, bm prjlarm pbmotm bas hfrada uom axparjaodjm gabvmdìh joêgjtm y uom vjstm alhdjhomota.Gamlkuba m 10l gab suabh phr uom pbmotm mdrjstmbmgm y vjvm bm saosmdjôoóojdm ga dmljomr phr aodjlm gab vmdìh.Yarh oh talm3 sa em jlpbalaotmgh uo trmtmljaoth motjgasbjzmota, dho uo

    afadth ga trmospmraodjm prh`rasjvh gab jotarjhr emdjm ab vmdìh daotrmb, phr uom suparfjdja ga =,51 l. ao bm zhom lís modem

    YBMOWM KMCM

    Bm hfjdjom ga dhrrahs, pjbmr Tur3 ¸]uê tmb sj aovìm uom phstmb msus mlj`hs y fmljbjmras dho uo sabbh astmlpmgh ga bm WhrraAjffab8Ymrm abbh, gjrìcmsa m bm hfjdjom ga dhrrahs sjtumgm ao ab pjbmr Tur (mkjarth mb pókbjdh ga :.49e m =5.99e y ga :.99e m ;4.71e, gasgalagjmghs ga cuojh emstm fjombas ga m`hsth)

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    BH ]QA OHT JOWA[ATM ATWQGJM[…

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    YJBM[AT M[DHTBhs pjbmras dardms mb rjh Taom satrmkmcmo ao phzhs gadjlaotmdjôo. Z bhs pjbmrashpuasths mb rjh Taom raphsmoshkra uom dmpm ga ehrlj`ôo.

    Ta mphym aotra bhs ghs pjbmras,ghoga trmsljta asfuarzh gadhlpraosjôo duym fuodjôo asaoguradar bm astrudturm ga bmkmsa

    DJLJAOWHTGakjgh m bm prhxjljgmg gab rìh ym bm omturmbazm gab suksuabh susdjljaoths dhostm ga dumtrhpmtms eadems ga ejarrhmrquamgms qua sa astrademoemdjm gaotrh fhrlmogh uom shbmdhbulom

    Ehrlj`ôo

    @rmvm

    Mdarh

    Ejarrh pugabmgh

    LMWA[JMBAT

    Qojgms phr ralmdeas puastm aodmbjaota, mb aofrjmrsa sa dhotrmaomsa`urmogh ab mpratmgh.

    [ALMDEAT

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    W[JMO@QBM[

    AOW[MLMGH

    ATW[QDWQ[M M[WJFJDJMB - M[LMSÔO

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    [ATJTWAODJM Z ATWMKJBJGMG

    Abalaoth3 Wrjío`ubhBm óojdm fhrlm `ahlêtrjdm quaoh sa puaga gafhrlmr mpbjdíoghba fuarzms ao susbmghs as uo trjío`ubh. Asth emsarvjgh ga kmsa pmrm fmkrjdmr bms astrudturms trjmo`ubmras.

    dmr`ms

    M[DHT

    Bm Whrra Ajffab dhostm gamrdhs, ym qua as uoabalaoth qua tmlkjêomphrtm rasjstaodjm m bmastrudturm. Wrmkmcmshlatjgh m dhlprasjôo.

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    V. MTYADWH KJHDBJLMWJDH

    Bm durvmturm ga bhs pjbmras sagatarljom lmtalítjdmlaotapmrm hfradar lachr rasjstaodjmphsjkba mota ab afadth gab vjaoth

    [asubtmota ga bmsfuarzms gab vjaoth

    Asfuarzhgab vjaoth

    Asfuarzhgab vjaoth

    Yash ga bm thrra

    E

    x

    gF

    gP

    f(x)

    f h

    Bm j`umbgmg ga bhs lhlaoths parljta dmbdubmr bm durvmturm gabhs khrgas ga fhrlm qua hfrazdmo bm lís afjdjaota rasjstaodjm mbvjaoth. Dmgm khrga ga bm Whrra tjaoa fhrlm tmb qua bmdhlphsjdjôo ga bm fuarzm vartjdmb gab pash ramb ga bm Whrra y bmfuarzm ehrjzhotmb gab vjaoth gao ao dmgm ojvab uom fuarzmgjrj`jgm axmdtmlaota m bh bmr`h ga bm pmtm gasamgm

    vjaoth

    Bm utjbjzmdjôo ga ejarrh fhrcmgh phr pmrtaga Ajffab ao uo gjsaýh ga aotrmlmghmkjarth prhphrdjhoô uom astrudturm tmoaxtralmgmlaota bj`arm qua bmWhrra taoìmmprhxjlmgmlaota ab ljslh pash qua abmjra quabm rhgamkm.

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    Walparmturm lìojlm3-1¹D

    Walparmturm líxjlm341¹D

    Bm Whrra Ajffab dradamprhxjlmgmlaota =1 dl ao varmoh

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    DHODBQTJHOATTa galhstrô bm jlphrtmodjm ga bm fìsjdm ao bm Whrra Ajffab lagjmota ab astugjh ga

    bms dmr`ms, asfuarzhs, abalaoths ga uom astrudturm, tjphs ga astrudturm y axj`aodjmkísjdms pmrm qua astm sam rasjstaota y oh sa dhbmpsa, dhlh tmlkjêo bm gjbmtmdjôoga êstm.

    Ta mombjzô bm Whrra Ajffab ao su mspadth `aoarmb, fhrlmb, aspmdjmb, astrudturmb ykjhdbjlítjdh saýmbmogh bm fhrlm, tjph ga aspmdjhs, abalaoths vartjdmbas yehrjzhotmbas, bm mddjôo gab vjaoth y bhs rmyhs gab shb> aotra htrhs.

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