D.BRUCIAFREDDO Idrologia

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    www.ibhcemruabgdrhiie.ael

    Gky quhstbek iek't jhsbtgth te aektgat lh! Hkney rhgibkc!

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    _gcbkg 1/1 - Aurrbau`ul vbtgh ibAeckelh/b Kelh/b

    _hr lgccberb bkderlgzbekb su Hurepgss> jttp>//hurepgss.ahihdep.hurepg.hu Xkbekh hurephg, =??=-=?7? =9?:=?7?

    @bvh``e hurephe (*) Gsae`te @htturg Bkthrgzbekh erg`h _reiuzbekh erg`h

    Bkc`hsh M= @bvh``e bkthrlhibe A7 @bvh``e Gvgkzgte M= @bvh``e bkthrlhibe M= @bvh``e bkthrlhibe A7 @bvh``e gvgkzgte

    Drgkahsh G= @bvh``eH`hlhktgrh

    M7 @bvh``e Bkthrlhibe G=@bvh``e

    H`hlhktgrhG=

    @bvh``eh`hlhktgrh

    G= @bvh``e h`hlhktgrh

    (*) Wugire aelukh hurephe ib rbdhrblhkte phr `h `bkcuh

    Agpgabt h aelphthkzh seabg`b - Qeke pgrtbae`grlhkth prhibspeste g `gvergrh bk thgl ahragkie shlprh ib aelprhkihrh h ib rbse`vhrh bprem`hlb g` lhc`be g` dbkh ib etthkhrh b rbsu`tgtb prhvbstb.- Qeke ietgte ib uk derth shkse ib ve`ekt h ib agpgabt ib prem`hl se`vbkc gkajh kh``h sbtugzbekb pbibkglbajh.-Qeke ietgte ib uk ettble spbrbte ib gigttglhkte gkajh kh``h sbtugzbekb pb aelp`hssh h seke pbhkglhkthibspekbmb`h g trgsdhrth bk tutte b` lekie.-Muekg agpgabt ib aelukbagzbekh h letbvgzbekh etthkutg crgzbh g ukglpbg hsphrbhkzg ib blpgrtbzbekhib `hzbekb prbvgth g uk muek kulhre ib stuihktb ukbvhrsbtgrb ( gi eccb abrag 4? )

    Agpgabt h aelphthkzhercgkbzzgtbvh

    Chstbekh ib prechttb h cruppb ib `gvere

    Agpgabt h aelphthkzh thakbajh Bkchckhrh strutturbstg aek agpgabt prechttgzbekh ib strutturh kek trgibzbekg`b h aelp`hssh.

    Agpgabt h aelphthkzhbkderlgtbajh

    Qb h`hkagke `h prbkabpg`b aelphthkzh sphabg`bstbajh bk gccbuktg g``h aelphthkzh mgsh ib utb`bzze ih`aelputhr>Ettblg aekesahkzg Hxah`+TMGEttblg Aekesahkzg precrgllg phr Leih``gzbekh DHL QY]GXQ3Ettblg Aekesahkzg _recrgllg phr Leih``gzbekh Dhl LBIGQ CHKEttblg Aekesahkzg _recrgllg _hr Leih``gzbekh DHL QG_=??Agpgabt ib utb`bzze h gpprhkiblhkte bk thlpb rgpbib ib tuttb b precrgllb ib leih``gzbekh DHLEttblg aekesahkzg ihb `bkcugccb ib precrgllgzbekh TMG, A++Ettblg aekesahkzg ih` precrgllg ib Ag`ae`e LGY@GMEttblg aekesahkzg ih` pgaajhtte EDDBAHEttblg aekesahkzg ib GXYEAGI

    G`trh agpgabt h aelphthkzh ]ukkhr glgterbg`h aek pgrthabpgzbekh g hvhktb , kuete6

    _gthkth G, M

    X`thrberb bkderlgzbekb ]hdhrhkzh h Aurrbau`ul Tbtgh ihttgc`bgte su rbajbhstg

    Guterbzze b` trgttglhkte ihb lbhb igtb phrsekg`b gb shksb ih` Iharhte @hcbs`gtbve 1? cbucke =??1, k. 724"Aeibah bk lgthrbg ib prethzbekh ihb igtb phrsekg`b". (dgae`tgtbve, v. bstruzbekb)

    Dbrlg

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    B

    BKIBAH

    _rhdgzbekh.............................................................................................................................BBB

    Agpbte`e 7 B@ MGABKE BI]EC]GDBAE

    7.7. Ihdbkbzbekh ib mgabke birecrgdbae................................................................................7

    7.=. Ih`blbtgzbekh ih` mgabke birecrgdbae..........................................................................=

    7.1. Gkg`bsb ih` rb`hvglhkte agrtecrgdbae..........................................................................1

    7.9. Qve`cblhkte hshrabtgzbekh 7.......................................................................................4

    7.9.7. Ih`blbtgzbekh h bkibvbiugzbekh ih` mgabke...................................................4

    7.9.=. Ag`ae`e ih``h crgkihzzh p`gkblhtrbajh..........................................................2

    7.9.1. Ag`ae`e ihc`b bkibab ib derlg........................................................................77

    7.9.9. Ag`ae`e ihb pgrglhtrb ib rb`bhve...................................................................78

    7.9.8. Ag`ae`e ihb pgrglhtrb agrgtthrbstbab ih``g phkihkzg..................................==

    7.9.4. Ag`ae`e ihb pgrglhtrb Abkhlgtbag...............................................................=8

    7.8. Chrgrajbzzgzbekh ih` mgabke.....................................................................................=3

    Agpbte`e = @H _]HAB_BYG^BEKB

    =.7. Bktreiuzbekh............................................................................................................1=

    =.=. Chkhsb h derlgzbekh ih``h prhabpbtgzbekb...............................................................1=

    =.1. Lbsurg ih``h prhabpbtgzbekb.....................................................................................11

    =.1.7. B` p`uvbelhtre...............................................................................................11

    =.1.=. B` p`uvbecrgde................................................................................................18

    =.1.1. B` kbvelhtre..................................................................................................14

    =.9. Blpbhce ihb igtb p`uvbelhtrbab...............................................................................13

    =.9.7. Gkkg`b bihe`ecbab...........................................................................................13

    =.9.=. Gkg`bsb stgtbstbag...........................................................................................1:

    =.8. Qve`cblhkte hshrabtgzbekh =...................................................................................12

    =.8.7. Lhteie ihb lelhktb.....................................................................................91

    =.8.=. Thrbdbag ih` thst ib _hgrsek..........................................................................99

    =.8.1. Ag`ae`e ib pertgth h rbsajbe trglbth `g `hcch ib Culmh`.............................93

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    BB

    Agpbte`e 1 @G IBQY]BMX^BEKH Q_G^BG@H IH@@H _BECCH

    1.7. Ibstrbmuzbekh spgzbg`h ih``h pbecch.......................................................................871.=. Gdd`usse lhtherbae> ihdbkbzbekh h ag`ae`e................................................................87

    1.=.7. Lhteie ih``h bsebhth......................................................................................8=

    1.=.=. Lhteie ihb tepebhtb.......................................................................................81

    1.1. Aurvh ib pessbmb`bt p`uvbelhtrbag (A__)..............................................................81

    1.9. Qve`cblhkte hshrabtgzbekh 1...................................................................................88

    1.9.7. Aestruzbekh ih` agrtecrgllg ib Culmh`...................................................8:

    1.9.=. Aestruzbekh ih``h aurvh ib pessbmb`bt p`uvbelhtrbag.................................4?

    Agpbte`e 9 _E]YGYG IB _]ECHYYE

    9.7. _beccbg ib prechtte..................................................................................................4:

    9.=. _beccbg ib prechtte gi bkthksbt aestgkth.............................................................4:

    9.1. _beccbg ib prechtte gi bkthksbt vgrbgmb`h.............................................................42

    9.9. _beccbg lgssblg premgmb`h....................................................................................3?

    9.9.7. Lhteie dbsbae.................................................................................................3?

    9.9.7.7. Bkibvbiugzbekh ih` crgie ib ulbibt................................................3?

    9.9.7.=. Lgssblbzzgzbekh ih` crgie ib ulbibt.............................................37

    9.9.7.1. Lgssblbzzgzbekh ihb dhkelhkb ib aekvhrchkzg h se``hvglhkte......3=

    9.9.=. Lhteie stgtbstbae..........................................................................................31

    9.8. _beccbg khttg..........................................................................................................31

    9.8.7. Lhteie ih` AX]TH KXLMH].................................................................39

    9.4. _ertgtg lgssblg ib pbhkg......................................................................................39

    9.4.7. Lhteie ibrhtte..............................................................................................38

    9.4.=. Lhteie rgzbekg`h..........................................................................................3:

    9.4.1. Lhteie abkhlgtbae e ih``g aerrbvgzbekh......................................................3:

    9.3. Qve`cblhkte ih``g hshrabtgzbekh 9.........................................................................:?

    9.3.7. Bstecrgllg ib Ajbagce................................................................................:=

    9.3.=. Ag`ae`e ih``h phribth bireche`ecbajh............................................................:9

    9.3.1. Birecrgllg ib pbhkg...................................................................................27

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    BBB

    _]HDG^BEKH

    @ bire`ecbg, kh``g sug gaahzbekh pb chkhrg`h, prhkih bk aeksbihrgzbekh `h thlgtbajhrbcugrigktb `h gaquh prhshktb kh` sbsthlg-Yhrrg bk qug`ukquh dgsh, sbg hssg se`big,

    `bqubig e cgssesg.

    Wuhstg gkg`bsb chkhrg`bzzgtg sb aekarhtbzzg bk vgrbh mrgkajh sphabdbajh qug`b>

    -Birelhthrhe`ecbg> stuibe ih``g abrae`gzbekh ih``gaqug kh``gtlesdhrg.

    -C`gabe`ecbg> gkg`bsb ihb cjbgaabgb h ih``h khvb.

    -Birecrgdbg > stuibe ih``h gaquh suphrdbabg`b bkthsh aelh `gcjb (`blke`ecbg) e dbulb

    (petgle`ecbg).-Bireche`ecbg> gkg`bsb ih` d`usse igaqug setthrrgkhe.

    B` shcuhkth `gvere sb ae``eag bk ukg grhg gkaer pb sphabdbag ih` shtterh bire`ecbae,

    evvhre `bire`ecbg thakbag, `g aub dbkg`bt quh``g ib cbukchrh g``gpp`bagzbekh ihb

    leih``b prechttgtb ig``h ukbvhrsbt g shcubte ih``gkg`bsb ihb igtb h ih``g lbsurg ih``g

    crgkihzzg bire`ecbag chstbtg ig``e Qtgte.

    B` `gvere aeksbsth kh``g aekarhtg gpp`bagzbekh ihb aekahttb prhshktgtb h trgttgtb iurgkth b`

    aerse ib Bire`ecbgsve`te kh``gkke gaagihlbae =??8/=??4 prhsse `Xkbvhrsbt ihc`b

    Qtuib Lhibthrrgkhg ib ]hccbe Ag`gmrbg - Dgae`t iBkchckhrbg.

    B` suiihtte aerse, aekiette ig` pred. bkc. Cbushpph Mgrmgre bkthkih derkbrh gc`b

    g``bhvb b lhzzb phr `e stuibe ih``h prem`hlgtbajh ib ibdhsg ig``h gaquh h `g chstbekh ih``h

    rbsersh birbajh ih` thrrbterbe.

    B` shcuhkth thste sb aelpekh ib qugttre hshrabtgzbekb su``g ihdbkbzbekh h b` ag`ae`e ihb

    igtb agrgtthrbzzgktb uk mgabke birecrgdbae h `h h`gmergzbekb stgtbstbajh ib igtb

    p`uvbelhtrbab rbagvgtb gttrgvhrse derlu`h sphrblhktg`b h vg`erb tgmh``gtb.

    _ebaj quhste `gvere stgte rhg`bzzgte bkthrglhkth bk shih ukbvhrsbtgrbg sb rbthkute

    eppertuke gkthperrh gi eckb hshrabtgzbekh ukg sellgrbg trgttgzbekh therbag ih``h

    prem`hlgtbajh gddrektgth phr dgab`btgrkh `g aelprhksbekh.

    Kh` preahihrh sb rbthkute eppertuke utb`bzzgrh prbkabpg`lhkth iuh gpp`bagtbvb

    sedtwgrh, Guteagi =??9 hi Hxah`, bk leie ig vh`eabzzgrh h rhkihrh pb prhabsb b ag`ae`b.

    Bk pgrtbae`grh kh``ercgkbzzgzbekh ihb dec`b ib `gvere hxah` sb ephrgte bk leie ig

    phrlhtthrh `g rbutb`bzzgmb`bt ihc`b sthssb. Yutte b` lgthrbg`h sb trevg aelukquh kh` ai

    g``hcgte g quhste `gvere.

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    7B` mgabke birecrgdbae

    7.7 Ihdbkbzbekh ib mgabke birecrgdbae

    _hr ukg dbssgtg shzbekh trgsvhrsg`h ib uk aerse igaqug, sb ihdbkbsah mgabke

    birecrgdbae, `hktbt checrgdbag aestbtubtg ig``g prebhzbekh su uk pbgke erbzzektg`h

    ih``g suphrdbabh sae`gkth setthsg g``g suiihttg shzbekh. Kh` `bkcugccbe thakbae tg`h

    aerrbspekihkzg sb hsprblh gddhrlgkie ajh `g shzbekh setthkih b` mgabke, lhktrh b`

    mgabke setthse ig``g shzbekh. Bk g`trb thrlbkb b` mgabke birecrgdbae pu hsshrh

    ihdbkbte aelh `ukbt dbsbecrgdbag, g aub sb dg rbdhrblhkte kh``g prechttgzbekh, ajh

    rgaaec`bh b ihd`ussb suphrdbabg`b, erbcbkgtb ig``h prhabpbtgzbekb lhtherbajh ajh sb

    gmmgtteke su` mgabke sthsse, khb aersb igaqug prbkabpg`b h khb sueb ibvhrsb gdd`uhktb h `b

    aekvec`bg kh``g shzbekh ib ajbusurg. Wuhstu`tblg ihttg gkajh shzbekh thrlbkg`h,

    aestbtubsah uk igte dekiglhktg`h phr `g ihdbkbzbekh ih` mgabke bk thrlbkb ib hsthksbekh

    grhg`h hi gkajh b` pukte arbtbae kh``g prechttgzbekh ib qug`sbgsb ephrg bkchckhrbstbag

    pebajh bk hsse vbhkh aekvec`bgtg `g pertgtg lgssblg e pertgtg ib pbhkg.

    Qh `g shzbekh ib ajbusurg aebkabih aek `g deah ih` dbulh b` mgabke ihtte prbkabpg`h

    g`trblhktb hsse prhkih gttrbmute ib shaekigrbe.

    G``bkthrke ih` mgabke ibstbkcubgle trg rhth birecrgdbag(e rhtbae`e d`uvbg`h) h

    vhrsgktb. @g rhth birecrgdbag (e rhtbae`e) b` aelp`hsse ib ae``htterb d`uvbg`b, e agkg`b,

    ajh rgaae`ceke b ihd`ussb birbab suphrdbabg`b h `b aekvec`bgke dbke g``g shzbekh ib ajbusurg.

    Aek `g ibzbekh vhrsgktb e phkibab, sb ihkelbkgke bkvhah tutth `h suphrdbab `gthrg`b gb

    rglb ih``g rhth.

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    = Hshrabtgzbekh 7

    @hsthksbekh ib uk mgabke birecrgdbae sb ihthrlbkg utb`bzzgkie `g agrtecrgdbguddbabg`h ih` Bstbtute Checrgdbae Lb`btgrh Btg`bgke bk sag`g 7>=8??? (Ygve`htth),

    7>8???? (Wugirgktb), 7>7?????? (Dec`b), bk rh`gzbekh g``g iblhksbekh ih` mgabke bk

    hsglh h g``gppressblgzbekh khahssgrbg phr `e stuibe ajh sb stg aelpbhkie. Bk

    g`aukb agsb, qugkie b` mgabke jg ukg iblhksbekh aekthkutg (bkdhrberh g 7? Fl=) e

    qugkie eaaerrh bkibvbiugrh aek lgccberh prhabsbekh `h `bkhh ib blp`uvbe,

    khahssgrbe dgr rbaerse g ukg agrtecrgdbg ib ihttgc`be etthkutg lhibgkth b` rb`bhve

    ghrhedetecrgllhtrbae.

    Tg sette`bkhgte aelh quhstg sah`tg prh`blbkgrh aekibzbekb bk lgkbhrg rb`hvgkth b

    rbsu`tgtb ih``bkigcbkh lerdelhtrbag ih` mgabke sthsse, bk qugkte, tgkte pb rbiettg

    `g sag`gturg ih``g pbgktg, tgkte pb prhabsg sgr `bkibvbiugzbekh ib pgrtbae`grb,

    qug`b `g prhshkzg ib pbaae`b h lhib aersb igaqug, ajh gkirgkke g leibdbagrh `g

    lgccber pgrth ihb rbsu`tgtb etthkutb gpp`bagkie b leih``b lgthlgtbab.

    7.=. Ih`blbtgzbekh ih` mgabke birecrgdbae

    _ukte ib pgrthkzg phr `gkg`bsb bire`ecbag , phr qugkte ihtte, `g ih`blbtgzbekh ih`

    mgabke birecrgdbae su` supperte agrtecrgdbae prhsah`te aekiettg aeksbihrgkie g`aukb

    puktb h `bkhh agrgtthrbstbab.

    Bkkgkzbtutte, ibstbkcubgle `e spgrtbgaquh suphrdbabg`h ihtte gkajh `bkhg ib

    ibsp`uvbe, ajh rgpprhshktg b` phrblhtre ih` mgabke, ih`blbtgkth `g suphrdbabh

    g``bkthrke ih``g qug`h sb gmmgtteke `h prhabpbtgzbekb, `h qug`b trevgke rhagpbteu`tble kh``g rhth birecrgdbag bk hsglh.

    _hr bkibvbiugrh `e spgrtbgaquh ab gppeccbgle g ihb puktb pgrtbae`grb, aelh b` pukte

    ib vhttg, abe b` pukte ib quetg lgssblg, b puktb sh``g, abe quh``b aelprhsb trg iuh

    rb`bhvb gibgahktb h b` pukte ib aekag, abe quh``e pb mgsse ajh aebkabih aek `g

    shzbekh ib ajbusurg.

    Kh``g prgtbag, b` trgaabglhkte ih``g `bkhg ib ibsp`uvbe sb aekiuah pgssgkie phr b

    puktb g quetg pb h`hvgtg, shkzg tgc`bgrh c`b h`hlhktb ihb rhtbae`b birecrgdbab

    rh`gtbvb gb aersb igaqug `blbtredb h bkthrshagkie `b bsebpsh ih` supperte agrtecrgdbae

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    B` mgabke birecrgdbae 1

    shlprh g 2?.

    7.1. Gkg`bsb ih` rb`hvglhkte tepecrgdbae

    @gkg`bsb ih` rb`hvglhkte tepecrgdbae, suaahssbvg g` trgttglhkte ih``e spgrtbgaquh h

    qubkib g``g ih`blbtgzbekh ih` mgabke, aeksbsth bk ukg h`gmergzbekh ihb igtb rbagvgtb

    ig``g tepecrgdbg gttg g derkbrh, g lhke ib hrrerb ib esshrvgzbekh, trglbth dukzbekb

    gkg`btbajh, aek prhabsbekh h aekabsbekh bkibagzbekb bllhibgth ih``h derlh ih``g

    suphrdbabh. Wuhstg gkg`bsb blpertgkth bk qugkte sb iblestrgte pessbmb`h lhtthrh bk

    rh`gzbekh b rbsu`tgtb ih``h suiihtth dukzbekb aek b preahssb bire`ecbab g sag`g ib mgabke. B

    leih``b bire`ecbab ib tbpe chelerde`ecbae sb dekigke preprbe su``g pessbmb`bt ib

    rbaestrubrh `g rbspestg bire`ecbag ib uk mgabke (derlgzbekh ib ihd`ussb), g shcubte ib ukg

    prhabpbtgzbekh ajh sb gmmgtth su ib hsse, su``g mgsh ih` `hcglh ajh bkthraerrh trg `g

    suiihttg rbspestg h b agrgtthrb chelerde`ecbab ih` mgabke. Bk g`trb thrlbkb `habte

    rbthkhrh ajh b` rhtbae`e birecrgdbae rgpprhshktg `blprektg `gsabgtg su``g suphrdbabh

    thrrhstrh ig ukg suaahssbekh ib hvhktb ib ihd`usse, sbaaj, bk uk gsshckgte mgabke, b`lhaagkbsle ib ihd`usse pu hsshrh rbaekiette g``g strutturg lerdelhtrbag ih` rhtbae`e.

    Wubkib sumeribkgtglhkth g` trgaabglhkte ih``e spgrtbgaquh suphrdbabg`h sb pu

    hddhttugrh b` ag`ae`e ih``h crgkihzzh p`gkblhtrbajh dekiglhktg`b, qug`b `grhg, b`

    phrblhtre h `g `ukcjhzzg ih``gstg prbkabpg`h, ajh aestbtubsaeke g `ere ve`tg `g mgsh phr

    `g aesbiihttg lerdelhtrbg, abe `gkg`bsb ihb pgrglhtrb ib derlg ih` mgabke bk

    hsglh>

    -]gpperte ib abrae`grbt6

    -]gpperte ib ukbderlbt6

    -]gpperte ib g``ukcglhkte6

    -]gpperte ib derlg6

    -Ihksbt ib irhkgccbe.

    G`trb dgtterb rb`hvgktb ajh agrgtthrbzzgke uk mgabke birecrgdbae seke>

    _grglhtrb ib rb`bhve

    -Ibs`bvh``e.

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    9 Hshrabtgzbekh 7

    -Aurvg bpsecrgdbag.

    -G`thzzg lhibg.

    -G`thzzg lhibgkg.

    _grglhtrb agrgtthrbstbab ih``g phkihkzg

    -_hkihkzg lhibg ih` mgabke.

    -_hkihkzg ih``gstg prbkabpg`h.

    -_hraerse lhibe ib rusah``glhkte.

    -Yhlpe ib aerrbvgzbekh ih` mgabke.

    Yuttb quhstb pgrglhtrb seke derthlhkth aekkhssb `uke aek `g`tre ig uk rgpperte ib

    ihrbvgzbekh(kek kh``gaahzbekh lgthlgtbag ih` thrlbkh).

    @g ihsarbzbekh ib uk mgabke birecrgdbae sb aelp`htg aek `g chrgrajbzzgzbekh, shaekie

    `h `hccb ib Jertek-Qtrgjh`hr, aub aekshcuh b` ag`ae`e ih` ]gpperte ib mbderagzbekh

    lhibe.

    Bkdbkh `hsgtthzzg ihb pgrglhtrb rbagvgtb gttrgvhrse `utb`bzze ib igtb tgmh``gtb h derlu`h

    sphrblhktg`b pu hsshrh dgab`lhkth vhrbdbagtg gttrgvhrse `h rhce`h ib Jertek>

    -rhce`g ih` kulhre ihb aersb igaqug6

    -rhce`g ih``g `ukcjhzzg lhibg ihb aersb igaqug6

    -rhce`g ih` rgpperte ih``h grhh.

    _hr ajbgrhzzg kh``g dbcurg 7.7 h rbpertgte uk ibgcrgllg ajh rgpprhshktgtbve

    ih``g`cerbtle ig shcubrh kh``gkg`bsb ib ukg zekg ib bkthrhssh bire`ecbae.

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    Agrte

    crgdbg

    Bkibvbiugzbekh ih`

    mgabke birecrgdbae>-rhtbae`e birecrgdbae

    -shzbekh ib ajbusurg-s grt bga uh

    _grglhtrb ib derlg>-rgpperte ib abrae`grbt

    -rgpperte ib ukbderlbt

    -rg erte ib g ` uk glhkte

    _grglhtrb ih` rb`bhve-Aurvg bpsecrgdbag

    -Aurvg bpselhtrbag

    -g`tbtuibkh lhibg

    _grglhtrb agrgtthrbstbab ih``g phkihkzg-phkihkzg lhibg ih` mgabke

    -phkihkzg lhibg ih``gstg prbkabpg`h

    Chrgajbzzgzbekh ihb aersb igaqug-rhce`h ib Jertek-Qtrgj`hr

    -bkibvbiugzbekh ih` kulhre ib a`gssb

    Thrbdbag ih``h trh rhce`h ib Jertek

    B` mgabke birecrgdbae8

    Dbcurg 7.7Qajhlg sbckbdbagtbve ih``gkg`bsb bire`ecbag.

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    4 Hshrabtgzbekh 7

    7.9. Qve`cblhkte ih``hshrabtgzbekh 7

    Aekiuabgle `g kestrg gkg`bsb bire`ecbag kh``g zekg ib _g`bzzb (]hccbe Ag`gmrbg),

    aeksbihrgkie aelh pukte arbtbae, evvhre shzbekh ib ajbusurg `g deah ih` dbulh Qbllhre.

    Qb trgttg, qubkib, ib uk mgabke prbkabpg`h. Ab gvvg`bgle ih``g agrtecrgdbg ih``bstbtute

    B.C.L bk sag`g 7>7???? rbpertgtg bk dbcurg 7.= .

    Dbcurg7.= > agrtecrgdbg aek `g shzbekh ib ajbusurg hvbihkzbgtg.

    Blpestbgle g kestrg gkg`bsb gttrgvhrse b` phraerse ecbae prhahihkthlhkth ihsarbtte.

    7.9.7. Ih`blbtgzbekh h bkibvbiugzbekh ih` mgabke

    Gvvg`hkieab ih``use ih``gpp`bagtbve GXYEAGI, bkibvbiubgle tuttb b aersb igaqug

    prhshktb kh``grhg bk hsglh aelh rbpertgte bk dbcurg7.1. Kh` trgaabgrh b` rhtbae`e

    birecrgdbae sb rbthkute eppertuke aeksbihrgrh gkajh b` aektrbmute igte ig quhb aersb

    igaqug suphrdbabg`b ajh seke prhshktb se`glhkth bk g`aukb phrbeib ih``gkke,

    lhtthkieab kh``g sbtugzbekh pb crgvesg h settrghkieab, aes, ig` rbsajbe ib ukg

    pessbmb`h settestblg ih` ihd`usse birecrgdbae.

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    B` mgabke birecrgdbae3

    Dbcurg 7.1(g)> rhtbae`e birecrgdbae

    Dbcurg 7.1> rhtbae`e birecrgdbae

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    : Hshrabtgzbekh 7

    B` pgsse suaahssbve `g ihthrlbkgzbekh ih``e spgrtbgaquh suphrdbabg`h gttrgvhrse `g

    lhteie`ecbg prhahihkthlhkth hspestg h ajbgrglhkth rbpertgtg bk dbcurg 7.9.

    `bkibvbiugzbekh ih` kestre ecchtte ib stuibe stgtg aelp`htgtg.

    Dbcurg 7.9> spgrtbgaquh suphrdbabg`h

    .

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    B` mgabke birecrgdbae2

    7.9.=. Ag`ae`e ih``h crgkihzzh p`gkblhtrbajh

    Gvhkie abraesarbtte `grhg ib bkthrhssh, preahibgle g` ag`ae`e ih``h crgkihzzh

    p`gkblhtrbajh ih` mgabke, ajh seke >

    -Quphrdbabh6

    -_hrblhtre6

    -@ukcjhzzg ih``gstg prbkabpg`h.

    Quphrdbabh

    @g Quphrdbabh aestbtubsah `grhg ih``g prebhzbekh su uk pbgke erbzzektg`h ih` mgabke

    sthsse, evvhre grhg aekthkutg g``bkthrke ih``e spgrtbgaquh suphrdbabg`h.

    _hr ihthrlbkgr`g pgrtbgle ig` vg`erh rbagvgte gttrgvhrse b` AGI, ibrhttglhkth su

    agrtg tepecrgdbag (7>7????) h giephrbgle eppertukb dgtterb aerrhttbvb, tg`b ig

    cbukchrh g` vg`erh rhg`h ih``g suphrdbabh, sdruttgkie `g shcuhkth derlu`g>

    G < (7/da)**r

    ievh G < Quphrdbabh rhg`h (Fl=)6

    < Tg`erh lbsurgte su``g agrtg 7> 7???? (al=)6

    da< dgtterh aerrhttbve ih``ukbt ib lbsurg6

    r < dgtterh ib aekvhrsbekh ih``g sag`g.

    Qestbtubgle g``g derlu`g b igtb rh`gtbvb g` mgabke>

    < 918,3= al=6

    da < 7?7?6

    r < 7?9.

    @g suphrdbabh rbsu`tg hsshrh >

    G < 9,14 Fl=

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    7? Hshrabtgzbekh 7

    _hrblhtre

    B` phrblhtre rgpprhshktg `g `ukcjhzzg ih` aekterke g` mgabke, e lhc`be ih``e

    spgrtbgaquh suphrdbabg`h. _hr ihthrlbkgr`g pgrtbgle ig` vg`erh rbagvgte gttrgvhrse b`

    AGI ibrhttglhkth su agrtg tepecrgdbag (7>7????) h giephrbgle eppertukb dgtterb

    aerrhttbvb, tg`b ig cbukchrh g` vg`erh rhg`h trglbth `g shcuhkth derlu`g >

    _ < (7/da)*p*r

    ievh _ < phrblhtre rhg`h (Fl)6

    p < vg`erh lbsurgte su``g agrtg 7>7???? (al)6

    da< dgtterh aerrhttbve ih``ukbt ib lbsurg6

    r < dgtterh ib aekvhrsbekh ih``g sag`g.

    Qestbtuhkie g``g derlu`g b igtb rh`gtbvb g` mgabke>

    p < 29,89 al 6

    da< 7?8 6

    r < 7?9.

    B` phrblhtre >

    _ < 2,98 Fl

    @ukcjhzzg ih``gstg prbkabpg`h

    Qb ihdbkbsah gstg prbkabpg`h, b` aerse igaqug pb `ukce rbktrgaabgmb`h kh` mgabke

    pgrthkie ig``g shzbekh ib ajbusurg vhrse lekth shkzg bkvhrsbekh ib thkihkzg.

    Dbcurg 7.8> gstg prbkabpg`h

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    B` mgabke birecrgdbae77

    B` ag`ae`e ih``g `ukcjhzzg ih``gstg prbkabpg`h rbsu`tg hsshrh hstrhlglhkth sblb`h g

    quh``e ih` phrblhtre, hsp`bagkiesb kh``g shcuhkth hsprhssbekh >

    @g < (7/da)*`*r

    ievh @g< `ukcjhzzg rhg`h (Fl)6

    ` < vg`erh lbsurgte su``g agrtg 7>7???? (al)6

    da< dgtterh aerrhttbve ih``ukbt ib lbsurg6

    r < dgtterh ib aekvhrsbekh ih``g sag`g.

    B igtb rh`gtbvb g` mgabke seke>

    ` < 99,38 al 6

    da< 7?8 6

    r < 7?9 .

    Qestbtuhkie kh``g derlu`g, sb rbagvg >

    @g < 9,9: Fl

    7.9.1. Ag`ae`e ihc`b bkibab ib derlg

    Yg`b pgrglhtrb, prhsabkihkie igb igtb p`gkblhtrbab prhahihkthlhkth rbagvgtb,

    ihthrlbkgke `g aesbiihttg Lerdelhtrbg (ihsarbzbekh ih``g derlg) ih` mgabke, derkhkie

    gkajh ukblpertgkth vhrbdbag ihb ag`ae`b cb hddhttugtb.

    ]gpperte ib abrae`grbt

    Qb ihdbkbsah aelh b` rgpperte trg `g suphrdbabh ih` mgabke h quh``g ib uk bpethtbae ahrajbe

    gvhkth phrblhtre hqubvg`hkth g quh``e ih` mgabke sthsse, abe >

    ]a< 9 G / _=

    B` rbsu`tgte ib tg`h rgpperte uk kulhre pure ]a.

    _hr ]a 7 , `g derlg ih` mgabke gppressblgmb`h gi uk ahrajbe 6

    _hr ]a0 7 , b` mgabke sb ibsaestg ib (7-]a)% ig ukg derlg abrae`grh .

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    7= Hshrabtgzbekh 7

    Kh` kestre agse >

    G < 9.14 Fl=

    _ < 2.98 Fl

    B` rgpperte ib abrae`grbt ih` mgabke bk hsglh , qubkib >

    ]a< 9*1.79*9.14 / (2.98)=< ?,47

    _essbgle aeka`uihrh ajh `g derlg ih` mgabke sb ibsaestg ih` 12% ig uk ahrajbe ib grhg

    hqubvg`hkth.

    ]gpperte ib ukbderlbt

    Qb ihdbkbsah aelh b` rgpperte trg b` phrblhtre ih` mgabke h `g `ukcjhzzg ih``g

    abraekdhrhkzg ib suphrdbabh hqubvg`hkth.

    ]u< _ / =(*G)

    Gkajh b` rbsu`tgte ib tg`h rgpperte uk kulhre pure ]u.

    Kh` kestre agse >

    G < 9.14 Fl=

    _ < 2.98 Fl

    B` rgpperte ib ukbderlbt ih` mgabke bk hsglh , qubkib >

    ]u< 2.98 / =(1.79*9.14) < 7.=:

    B` sbckbdbagte ih` rgpperte ib ukbderlbt stg kh``g strhttg aekkhssbekh ajh `e `hcg g`

    rgpperte ib abrae`grbt6 tg`h `hcglh hsprhsse ig``g derlu`g >

    ]u< 7 / ]a (7)

    B` rgpperte ib ukbderlbt, qubkib, ab phrlhtth ib vhrbdbagrh `hsgtthzzg ihb ag`ae`b

    prhahihktb.

    Kh` agse ih` mgabke bk hsglh >

    7 / ]a< 7 / ?.47 < 7.=: < ]u

    @g rh`gzbekh (7) seiibsdgttg, ib aekshcuhkzg b vg`erb dbkerg rbagvgtb seke hsgttb.

    ]gpperte ib g``ukcglhkte

    Qb ihdbkbsah aelh b` rgpperte trg `g suphrdbabh ih` mgabke h b` qugirgte ih``g `ukcjhzzg

    ih``gstg prbkabpg`h >

    ]g< G / (@g)=

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    B` mgabke birecrgdbae71

    B` rbsu`tgte ib tg`h rgpperte uk kulhre pure ]g.

    G vg`erb ig ]gpbutteste rbiettb, aerrbspekih uk mgabke le`te g``ukcgte 6

    G vg`erb ib ]gh`hvgtb, aerrbspekih uk mgabke peae g``ukcgte .

    Kh` kestre agse >

    G < 9.14 Fl=6

    @g < 9,9: Fl .

    B` rgpperte ib g``ukcglhkte ih` mgabke bk hsglh , qubkib >

    ]g< 9.14 / (9.9:)=< ?.==

    Aeka`uibgle ib hsshrh bk prhshkzg ib uk mgabke pbutteste g``ukcgte.

    ]gpperte ib derlg

    ]gpprhshktg ukg sbkthsb ihb igtb ag`ae`gtb dbkerg h sb ihdbkbsah aelh b` rgpperte trg b`

    ibglhtre ib uk ahrajbe ib grhg hqubvg`hkth g quh``g ih` mgabke stuibgte h `g `ukcjhzzg

    ih``gstg prbkabpg`h, abe >

    ]d< (=*G) / (@g* )

    B` rbsu`tgte ib tg`h rgpperte uk kulhre pure ]d.

    _hr ]d 7 , `g derlg ih` mgabke prhsseaj abrae`grh 6

    _hr ]d 0 7 , `g derlg ih` mgabke tezzg h g` ukcgtg .

    Kh` kestre agse >

    G < 9.14 Fl=6

    @g < 9,9: Fl .

    B` rgpperte ib derlg ih` mgabke , qubkib >

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    79 Hshrabtgzbekh 7

    ]d< (=*9.14) / (9.9:* 1.79) < ?.81

    Qb trgttg ib uk mgabke ig``g derlg pbutteste tezzg h g``ukcgtg.

    Ihksbt ib irhkgccbe

    _hr uk gsshckgte mgabke birecrgdbae, sb ihdbkbsah ihksbt ib irhkgccbe b` rgpperte trg `g

    `ukcjhzzg tetg`h ih` rhtbae`e birecrgdbae ( bka`usg `gstg prbkabpg`h ) h `g suphrdbabh ih`

    mgabke sthsse, abe >

    Ii< ( `r ) / Q

    Aek

    `r< sellg ihb aersb igaqug prhshktb, bka`usg `gstg prbkabpg`h 6

    Q < suphrdbabh tetg`h ih` mgabke .

    Kh` kestre agse > `r< 93.22Fl

    Q < 9.14 Fl=

    Wubkib `g ihksbt ib irhkgccbe ih` mgabke bk hsglh >

    Ii< 93.22 Fl / 9.14 Fl=

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    B` mgabke birecrgdbae78

    Yg`b aeksbihrgzbekb ab phrlhtteke ib aeka`uihrh ajh b` mgabke gkg`bzzgte rbsu`tg

    pbutteste blphrlhgmb`h h aek uk crgie ib aephrturg vhchtg`h rbiette.

    7.9.9. Ag`ae`e ihb pgrglhtrb ib rb`bhve

    Yg`b pgrglhtrb derkbsaeke `h bkderlgzbekb rbcugrigktb `h agrgtthrbstbajh

    g`tblhtrbajh ih` mgabke bk hsglh, evvhre lhtteke bk rh`gzbekh `h bkderlgzbekb

    grhg`b aek `h iblhksbekb vhrtbag`b preprbh ih` rb`bhve. Dekiglhktg`h phr b` ag`ae`e

    ihb pgrglhtrb ib rb`bhve `g ihdbkbzbekh ih``h g`tbtuibkb prbkabpg`b, abe quh``g ih`

    pukte pb g`te (Jlgx) h quh``g ih``g shzbekh ib ajbusurg (Jlbk), rbdhrbth g` `bvh``e

    lhibe ih` lgrh.

    Kh` mgabke bk hsglh b` pukte g quetg pb mgssg aebkabih aek `g shzbekh ib ajbusurg,

    `g aub g`tbtuibkh rbsu`tg hsshrh >

    Jlbk< ?l

    _ebaj bkdgttb `gstg prbkabpg`h sb bllhtth ibrhttglhkth bk lgrh .

    Bkvhah, b` pukte pb g`te sb trevg gi ukg quetg >

    Jlgx < 92=l

    Ibs`bvh``e ih` mgabke

    Qb ihdbkbsah aelh `g ibddhrhkzg trg `g`tbtuibkh lgssblg (quh``g ih` pukte pb g`te)

    h `g`tbtuibkh lbkblg, abe quh``g ih``g shzbekh ib ajbusurg >

    iJ < Jlgx - Jlbk

    Qestbtuhkie b vg`erb rh`gtbvb g` mgabke bk hsglh rbagvbgle >

    J < 92= - ? < 92= l

    Xkg ve`tg ihthrlbkgte b` ibs`bvh``e ih` mgabke, trgaabgle `h aurvh bselhtrbajh

    khahssgrbh phr `g ihthrlbkgzbekh ihc`b g`trb pgrglhtrb ib rb`bhve.

    Qb ihdbkbsaeke aurvh bselhtrbajh, e bsebpsh, `h aurvh aekcbukchktb tuttb b puktb gi

    hcug`h quetg h rbktrgaabgmb`b ibrhttglhkth su` supperte agrtecrgdbae.

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    74 Hshrabtgzbekh 7

    Yuttgvbg phr b` ag`ae`e ihb pgrglhtrb ib rb`bhve ib uk mgabke ib iblhksbekh kek

    le`te hsthsh rbsu`tgke hsshrh suddbabhktb ibhab bsebpsh, shpgrgth trg `ere ib uk pgsse

    aestgkth.

    _hr b` mgabke bk hsglh sahc`bgle uk pgsse pgrb g >

    iJ < J / 7? < 92= / 7? < 92.= 8?

    Yrgaabgle, qubkib, ibhab aurvh ib `bvh``e shpgrgth ib 8? l ukg ig``g`trg, aelh

    lestrgte bk dbcurg 7.4 .

    Dbcurg 7.4> aurvh bpselhtrbajh

    Aurvg bpsecrgdbag

    @g aurvg bpsecrgdbag derkbsah `g ibstrbmuzbekh ih``h suphrdbab kh``h ibvhrsh dgsah

    g`tblhtrbajh hi bkdgttb, sb ihdbkbsah aelh `g aurvg ajh rbpertg bk eribkgtg `h queth h

    bk gsabssg `h suphrdbab ib mgabke, ajh sb trevgke g` ib seprg ib hssh6 e gkajh aelh b`

    `uece ihb puktb ih` tbpe >

    _b< (Jb, Qb)

    Aek

    Jb < quetg ih``g bsebpsg prhsg bk aeksbihrgzbekh 6

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    B` mgabke birecrgdbae73

    Qb< Quphrdbabh g` ib seprg ih``g bsebpsg suiihttg .

    _hr hshlpbe, kh` kestre agse, `g shzbekh ib ajbusurg G h b` pukte pb g`te W sgrgkke

    rbphttbvglhkth >

    G ( ? , 9.14 ) 6 W ( 92= , ? ) 6

    ]bpertbgle, phr b` mgabke bk hsglh, `h queth ih``h bsebpsh prhahihkthlhkth sah`th h

    `h suphrdbab ajh stgkke g` ib seprg ib hssh, gttrgvhrse `g tgmh``g bk dbcurg 7.3

    dgahkth pgrth ih` dec`be ib `gvere = ih` db`h .xs` rh`gtbve g``g hshrabtgzbekh 7 kh` ai

    g``hcgte >

    7 = 1 9 8 4

    QX_H]DBABH QX AG]YG (alq) ? 4,39 99,?: 7?2,=7 742,44 ==1,=1

    G@YH^^G(l.`.l) 8?? 98? 9?? 18? 1?? =8?

    QX_H]DBABH ]HG@H Flq ? ?,?439 ?,99?: 7,?2=7 7,4244 =,=1=1G@YH^^G 8?? 98? 9?? 18? 1?? =8?

    3 : 2 7? 77

    QX_H]DBABH QX AG]YG (alq) =8?,9: =:8,?2 114,=3 12=,4= 911,28

    G@YH^^G(l.`.l) =?? 78? 7?? 8? ?

    QX_H]DBABH ]HG@H Flq =,8?9: =,:8?2 1,14=3 1,2=4= 9,1128

    G@YH^^G =?? 78? 7?? 8? ?

    DBCX]G 7.3> Ygmh``h ihb igtb rh`gtbvb g``h grhh ihthrlbkgth ig``g precrhssbekh ih``h aurvh ib `bvh``e

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    7: Hshrabtgzbekh 7

    @g aurvg bpsecrgdbag ajh sb rbagvg iukquh>

    AX]TG B_QEC]GDBAG

    ?

    7??

    =??

    1??

    9??

    8??

    4??

    ? 7 = 1 9 8

    QX_H]DBABH (Flq)

    G@YH^^G(l.`.l.)

    .

    Qhrbh7

    DBCX]G 7.:>Aurvg bpsecrgdbag ih` mgabke sbte bk _g`gzzb L.kg(]hccbe Ag`gmrbg)

    Aurvg bpselhtrbag

    Qtrhttglhkth aekkhssg g quh``g bpsecrgdbag, `g aurvg bpselhtrbag sb rbagvg g``e

    sthsse leie, lg rbpertgkie `h g`tbtuibkb h `h suphrdbab giblhksbekg`bzzgth,

    rgppertgth, abe, g``g`tbtuibkh lgssblg h g``g suphrdbabh tetg`h ih` mgabke, aelh

    rbpertgte bk tgmh``g kh``g dbcurg 7.2.

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    B` mgabke birecrgdbae72

    Dbcurg 7.2> suphrdbabh h g`thzzh rgppertgth gb vg`erb lgssblb

    @g aurvg bpselhtrbag phr b` mgabke bk hsglh >

    AX]TG B_QELHY]BAG

    ?

    ?,7

    ?,=

    ?,1

    ?,9

    ?,8

    ?,4

    ?,3

    ?,:

    ?,2

    7

    ?,?? ?,7? ?,=? ?,1? ?,9? ?,8? ?,4? ?,3? ?,:? ?,2? 7,??

    Quphrdbabh giblhksbekg`bzzgtg

    G`thzzggiblh

    ksbekg`bzzgtg

    Qhrbh7

    DBCX]G 7.7?>Aurvg bpselhtrbag

    7 = 1 9 8 4

    QX_H]DBABH QX AG]YG (alq) ? 4,39 99,?: 7?2,=7 742,44 ==1,=1G@YH^^G(l.`.l) 8?? 98? 9?? 18? 1?? =8?

    QX_H]DBABH ]HG@H Flq ? ?,?439 ?,99?: 7,?2=7 7,4244 =,=1=1

    G@YH^^G 8?? 98? 9?? 18? 1?? =8?

    QX_H]DBABH GIBLHKQBEKG@B^^GYG ?,?? ?,?= ?,7? ?,=8 ?,12 ?,87

    G@YH^^G GIBLHKQBEKG@B^^GYG 7 ?,2 ?,: ?,3 ?,4 ?,8

    3 : 2 7? 77

    QX_H]DBABH QX AG]YG (alq) =8?,9: =:8,?2 114,=3 12=,4= 911,28

    G@YH^^G(l.`.l) =?? 78? 7?? 8? ?

    QX_H]DBABH ]HG@H Flq =,8?9: =,:8?2 1,14=3 1,2=4= 9,1128G@YH^^G =?? 78? 7?? 8? ?

    QX_H]DBABH GIBLHKQBEKG@B^^GYG ?,8: ?,44 ?,33 ?,2? 7,??

    G@YH^^G GIBLHKQBEKG@B^^GYG ?,9 ?,1 ?,= ?,7 ?

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    =? Hshrabtgzbekh 7

    Ig`` gkiglhkte ih``g aurvg bpselhtrbag pesseke ihiursb g`aukh bkderlgzbekb su`

    crgie ib hve`uzbekh ih` mgabke gttrgvhrse b` aesbiihtte bkthcrg`h bpselhtrbae, abe b`

    ag`ae`e ih``grhg G* setthsg ig``g aurvg sthssg.

    Bk pgrtbae`grh phr>

    G*0?.9, mgabke g``e stgibe shkb`h 6

    G*;?.4, mgabke g``e stgibe cbevgkb`h 6

    ?.90G*0?.4, mgabke bk stgte ib lgturbt .

    _hr b` ag`ae`e ih``grhg setthsg g``g aurvg bpselhtrbag hsbsteke bk `htthrgturg kulhresb

    bkthcrg`b, ihttb bkthcrg`b bpselhtrbab. Kh` aekiurrh `g kestrg gkg`bsb gmmbgle ag`ae`gte

    `grhg utb`bzzgkie `h agpgabt ephrgtbvh ih` AGI.

    _essbgle aeka`uihrh ajh sb trgttg ib uk mgabke bk uke stgibe ib lgturbt.

    G`thzzg lhibg

    @g`thzzg lhibg ih` mgabke quh``g`thzzg ajh, le`tbp`bagtg phr `g suphrdbabh Q ih`

    mgabke rbsu`tg hqubvg`hkth g``grhg setthsg ig``g aurvg bpsecrgdbag.

    @g`thzzg lhibg sb rbagvg g pgrtbrh ig``g aurvg bpsecrgdbag gttrgvhrse `g shcuhkth

    hcugc`bgkzg >

    Qtet< V (Jb+ Jb+7) (Qb+7 Qb) \ / = (7)

    Ievh>

    - b` prble thrlbkh rgpprhshktg b` ve`ulh ih` pgrg``h`hpbphie bihg`h gvhkth phr

    suphrdbabh ib mgsh `grhg ih` mgabke h phr g`thzzg preprbe `g`thzzg lhibg, lhktrh b`

    shaekie thrlbkh rgpprhshktg b` ve`ulh ih` trgphzebih ajh setthkih `g aurvg

    bpsecrgdbag.

    - JbhJb+7 seke `h g`thzzh lhibh prhsh phr eckb sbkce`g strbsabg aelprhsg trg iuh aurvh

    ib bvh``e aekshautbvh.

    - Qb+7 hQbseke, bkvhah, `h grhh ib eckb sbkce`g strbsabg `g aub sellg derkbsah `grhg

    tetg`h G ih` mgabke.

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    B` mgabke birecrgdbae =7

    Bk g`trb thrlbkb, sb suiibvbih `g suphrdbabh ih` mgabke Qtetbk grhh pgrzbg`b Qb

    aelprhsh trg iuh aurvh ib `bvh``e h g abgsaukg grhg sb gsshckg ukg quetg lhibg Jl

    pgrb g``g lhibg grbtlhtbag ih``h queth ih``h aurvh ib `bvh``e ajh `g ih`blbtgke.

    Ig``g (7) sb rbagvg >

    < V (Jb+ Jb+7) (Qb+7 Qb) \ / = Qtet

    Qestbtuhkie b vg`erb prhahihkthlhkth bktreiettb phr trgaabgrh `g aurvg bpsecrgdbag

    (tgmh``g 7.8), `g`thzzg lhibg ih` mgabke bk hsglh, rbsu`tg hsshrh >

    < =19.9 l

    G`thzzg lhibgkg

    @g`thzzg lhibgkg `g`thzzg g``g qug`h aerrbspekih, kh``g aurvg bpsecrgdbag, `g

    lht ih``g suphrdbabh ih` mgabke, abe quh``g`thzzg g` ib seprg ih``g qug`h

    aekthkutg `g lht ih``g suphrdbabh ih` mgabke.

    @g`thzzg lhibgkg sb rbagvg ibrhttglhkth ig``g rgpprhshktgzbekh ih``g aurvg

    bpsecrgdbag, trglbth bkthrpe`gzbekh `bkhgrh.

    (=) J < J +

    Ievh

    Q / = aerrbspekih g``g lht ih``grhg ih` mgabke 6

    Q `grhg bllhibgtglhkth prhahihkth gi Q/= 6

    Q `grhg bllhibgtglhkth shcuhkth gi Q/= 6

    J `g`thzzg aerrbspekihkth gi Q .

    B igtb rh`gtbvb g` mgabke bk hsglh, dgab`lhkth rbktrgaabgmb`b su``g aurvg bpsecrgdbag,

    seke >

    J < 8? l 6Q < 7.3? Fl= 6

    ~ J*( Q Q/= )

    ( Q Q)

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    == Hshrabtgzbekh 7

    Q < =.=1 Fl= 6

    Q/= < =.73 Fl= 6

    J < 1?? l .

    Qestbtuhkie kh``g (=) sb rbagvg >

    J< J + < 8?*(=,=1-=,73) +1?? < 1?8,:9 l. s.`.l.

    7.9.8. Ag`ae`e ihb pgrglhtrb agrgtthrbstbab ih``g phkihkzg

    @bkderlgzbekh g`tblhtrbag aekshkth ib ihthrlbkgrh b pgrglhtrb rbcugrigktb `g

    phkihkzg, aelh `g phkihkzg lhibg ih` mgabke h quh``g ih``gstg prbkabpg`h, ig aub

    ibphkieke, g `ere ve`tg, `h agrgtthrbstbajh abkhlgtbajh ih``g rhth sae`gkth.

    _hkihkzg lhibg ih` mgabke

    B` ag`ae`e ih``g phkihkzg lhibg ih` mgabke ag`ae`gmb`h aelh lhibg phsgtg ih``h

    phkihkzh ib eckb trgtte ib grhg trg `h aurvh ib `bvh``e h `g suphrdbabh tetg`h >

    m < (7 / Q)* bmbQb (9)

    Aek >

    Qb < suphrdbabh ih``g b-hsblg perzbekh bk aub b` mgabke vbhkh ibvbse ig``h aurvh ib

    `bvh``e prhahihkthlhkth aeksbihrgth 6

    bmb< phkihkzg ih``g b-hsblg perzbekh ib mgabke Qb6

    Q < suphrdbabh tetg`h ih` mgabke bk hsglh .

    @g suphrdbabh ih``g b-hsblg perzbekh , sh gppressblgtg gi uk trgphzbe, h igtg ig``g

    derlu`g>

    Qb< ( `b+ `b+7 )*ib/ =

    J*( Q Q/= )

    ( Q Q ) (=,=1-7,3)

    ~

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    B` mgabke birecrgdbae=1

    ievh >

    `b, `b+7 < `ukcjhzzh ih``h bsebpsh suaahssbvh ajh ih`blbtgke `g perzbekh 6

    ib < ibstgkzg trg `h iuh aurvh ib `bvh``e suiihtth .

    Qestbtuhkie kh``g derlu`g (9), iepe shlp`bab aeksbihrgzbekb ib tbpe trbcekelhtrbae h

    pgssgccb lgthlgtbab, sb rbagvg >

    M < ( J / Q )* `b (8)

    Evvhre, `g phkihkzg lhibg ih` mgabke rbsu`tg ibphkihrh ukbaglhkth ig >

    J < ibs`bvh``e aestgkth trg `h aurvh bselhtrbajh aeksbihrgth 6

    Q < suphrdbabh tetg`h ih` mgabke 6

    `b< sellgterbg ih``h `ukcjhzzh ih``h bsebpsh suiihtth .

    H khahssgrbe sette`bkhgrh ajh `g derlu`g gpphkg bktreiettg vg`big se`e kh` agse bk aub

    sbgke seiibsdgtth `h shcuhktb aekibzbekb >

    g) `g prblg aurvg ib `bvh``e pgssb phr `g shzbekh ib ajbusurg ( `7< ? ) 6

    m) `u`tblg aurvg ib `bvh``e pgssb phr b` pukte g quetg pb h`hvgtg ( `k< ? ) .

    Qh quhsth iuh aekibzbekb kek seke seiibsdgtth khahssgrbe sellgrh g``g derlu`g (8)

    uk thrlbkh aerrhttbve A pgrb g >

    A < V (7-(J/J))*`7+ (7-(J/J))*`k\

    Ievh >

    J < ibddhrhkzg ib quetg trg `g prblg aurvg ib `bvh``e h `g shzbekh ib ajbusurg 6

    J < ibddhrhkzg ib quetg trg `u`tblg aurvg ib `bvh``e h b` pukte pb g`te 6

    `7< `ukcjhzzg ih``g prblg bsebpsg 6

    `k< `ukcjhzzg ih``u`tblg bsebpsg .

    Kh` agse ih` mgabke bk hsglh `h aekibzbekb g) h m) rbsu`tgke seiibsdgtth, qubkib pebaj >

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    =9 Hshrabtgzbekh 7

    J < 8?l 6

    Q < 9.14Fl=6

    `b< 97.3==fl.

    `g phkihkzg lhibg >

    M < ?.9: < 9:%

    _hkihkzg ih``gstg prbkabpg`h

    _hr ag`ae`grh `g phkihkzg ih``gstg prbkabpg`h kek seke pb suddbabhktb `h ibhab aurvh

    bselhtrbajh prhahihkthlhkth aeksbihrgth, lg mbseckg dgr rbdhrblhkte g tutth `h bsebpsh

    ajh pgssgke phr b` mgabke hi bkthrshagke `gstg prbkabpg`h.

    Bk thrlbkb ib ag`ae`e pessbmb`h shcubrh iuh strgih>

    -lhteie crgdbae 6

    -lhteie gkg`btbae .

    -Lhteie crgdbae

    Wuhste preahiblhkte aeksbsth kh` aeksbihrgrh bkkgkzbtutte uk crgdbae ajh rbpertb bk

    gsabssg `h `ukcjhzzh ih``h aurvh ib `bvh``e h bk eribkgtg `h queth aerrbspekihktb, ajh

    rgpprhshktg b` predb`e `ekcbtuibkg`h ih``gstg prbkabpg`h.

    G quhste pukte, `g phkihkzg ih``gstg prbkabpg`h sgr b` aehddbabhkth gkce`grh ih``g

    aesbiihttg rhttg ib aelphkse, abe `g rhttg erbhktgtg bk leie ig ihthrlbkgrh iuh grhh

    ucug`b (Dbc. 7.77)

    _]EDB@E @EKCBYXIBKG@H GQYG _]BKAB_G@H

    ?

    8?

    7??

    78?

    =??

    =8?

    1??

    18?

    9??

    98?

    8??

    ? ?,9 ?,: 7,= 7,4 = =,9 =,: 1,= 1,4 9 9,9 9,:

    @XKCJH^^G (Fl)

    WXEYG(ls.`.l.

    Qhrbh7

    Dbcurg 7.77>`g `bkhg bk resse h `g rhttg ib aelphkse

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    B` mgabke birecrgdbae=8

    Yrgaabgtg `g rhttg ib aelphkse, aelh lestrgte bk dbcurg 7.77, `g phkihkzg lhibg ih`

    mgabke ucug`h g` phrahkte ih` aehddbabhkth gkce`grh ih``g rhttg ib aelphkse bk resse

    Bg

    bg < V @g/ ( ( @b+7 @b ) / bb)\ = (4)

    Ievh>

    @g< `ukcjhzzg ih``gstg prbkabpg`h 6

    @b+7 @b

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    =4 Hshrabtgzbekh 7

    @r< 7 / V =*Ii*( 7 bg/ m) \

    Aek

    Ii < ihksbt ib irhkgccbe 6

    bg< phkihkzg ih``gstg prbkabpg`h 6

    m < phkihkzg lhibg ih` mgabke .

    _hr b` mgabke bk hsglh >

    Ii

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    B` mgabke birecrgdbae=3

    _hr b` mgabke bk hsglh >

    Q < 9,18 Flq 6

    @g

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    =: Hshrabtgzbekh 7

    erbcbkh g uk shclhkte ib = eribkh. Iuh rglb ih` shaekie eribkh, aekd`uhkie

    ihthrlbkgke uk aerse igaqug ih` 1eribkh h aes vbg.

    Bk chkhrg`h, `g chrgrajbzzgzbekh shaekie Jertek-Qtrgjh`hr sb dekig su``h shcuhktb trh

    rhce`h>

    -qugkie aekd`ubsaeke iuh trekajb ib eribkh f, kh ihrbvg uke ib eribkh f+7 6

    -sh uk aerse igaqug ib eribkh f bkaektrg uke ib eribkh f+7, sb erbcbkg uk trekae ib

    eribkh f+7 6

    -sh uk trekae ib eribkh f sb vhrsg bk uke ib eribkh f+= e suphrberh, kek kh dg aglmbgrh

    `g kulhrgzbekh chrgrajbag h vbhkh ihtte gkelg`e .

    giephrgkie b` lhteie ib Jertek-Qtrgjh`hr `g chrgrajbzzgzbekh ih` mgabke bk hsglh

    rbsu`tg aelh bk dbcurg 7.7= >

    Dbcurg 7.7=> chrgrajbzzgzbekh ihb aersb igaqug

    b` kestre mgabke jg qubkib eribkh 8.

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    B` mgabke birecrgdbae=2

    ]gpperte ib mbderagzbekh lhibe

    @g kulhrgzbekh chrgrajbag ih` mgabke phrlhtth `g ihdbkbzbekh ih` rgpperte ib

    mbderagzbekh lhibe, ihdbkbte ig``g shcuhkth hsprhssbekh >

    ]m,f

    ]m,f < rgpperte ib mbderagzbekh, abe b` rgpperte trg b` kulhre ib trekajb ib eribkh f h

    quh``b ib eribkh f+7 6

    ]m,f < Kf/ Kf+7

    kf< aehddbabhkth, ag`ae`gmb`h ig``g rh`gzbekh >

    kf< 4f (flgx f) / (flgx( flgx= 7))

    _hr b` mgabke bk hsglh, aelh sb hvbkah ig``g dbcurg, rbagvbgle `g shcuhkth tgmh``g ajh

    rbpertg b` kulhre ib trekajb phr abgsauk eribkh rb`hvgte >

    B` rgpperte ib mbderagzbekh lhibe rbsu`tg hsshrh >

    ]m,f

    < 8.38=287

    KXLH]E

    Y]EKAJB

    E]IBKH

    f

    =17 7

    8? =

    7= 1

    = 9

    7 8

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    1? Hshrabtgzbekh 7

    ]hce`h ib Jertek

    @h rhce`h ib Jertek seke ih``h rh`gzbekb hlpbrbajh ajh ab phrlhtteke ib vhrbdbagrh

    `hsgtthzzg ihb ag`ae`b hddhttugtb gttrgvhrse `gppgrthkhkzg ihb rbsu`tgtb gi uk

    pgrtbae`grh rgkch.

    B rhce`g ib Jertek e rhce`g ih` kulhre ihb aersb igaqug

    Yg`h `hcch stgmb`bsah ajh phr eckb eribkh f b` rgpperte ib mbderagzbekh seiibsdb `g

    shcuhkth rh`gzbekh >

    7.8 0 ]m 0 8.8 aek ]m < Kf/ Kf+7

    kh` kestre agse >

    ]m7 < =17/8? < 9.4=

    ]m= < 8?/77 < 9.93

    ]m1 < 77/= < 8,8

    ]m9 < =/7 < =

    BB rhce`g ib Jertek e rhce`g ih``h `ukcjhzzh lhibh

    Qtgmb`bsah phr eckb eribkh f b` dgtterh ]`sbg aelprhse kh` shcuhkth rgkch >

    7? 0 ]` 0 1.8 aek ]`< @f / @f-7

    ievh >

    @f < `ukcjhzzg lhibg ihb aersb igaqug ib eribkh f 6

    @f-7 < `ukcjhzzg lhibg ihb aersb igaqug ib eribkh f-7 .

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    B` mgabke birecrgdbae17

    BBB rhce`g ib Jertek e rhce`g ih``h grhh lhibh

    Qtgmb`bsah phr eckb eribkh f b` dgtterh ]msbg aelprhse kh` shcuhkth rgkch >

    1 0 ]m 0 4 aek ]m< Gf / Gf-7

    ievh >

    Gf ,Gf-7 < suphrdbab lhibh trg iuh aurvh bselhtrbajh suaahssbvh .

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    =@h prhabpbtgzbekb

    =.7. Bktreiuzbekh

    Iepe gvhr stuibgte `h agrgtthrbstbajh lerdelhtrbajh ih` mgabke hi gvhrkh bkibvbiugtb b

    pgrglhtrb rbcugrigktb b` rb`hve h `g phkihkzg, `gkg`bsb bire`ecbag sb spestg su``g

    vg`utgzbekh h h`gmergzbekh stgtbstbag ihb igtb p`uvbelhtrbab.

    =.=. Chkhsb h derlgzbekh ih``g prhabpbtgzbekh

    B` pukte ib pgrthkzg phr `g chkhsb ih``h prhabpbtgzbekb lhtherbajh rgpprhshktgte

    ig``bkkg`zglhkte ih``h lgssh igrbg ag`ig, ajh rgccbuktg ukg quetg aelprhsg trg

    7=??? h b =???? l , i `uece g``g derlgzbekh ih``h kumb, `g aub aelpesbzbekh vgrbg aek

    `g thlphrgturg.

    Bk leie pgrtbae`grh trevbgle >

    -pgrtbah``h igaqug, phr t ; ?A

    -pgrtbah``h igaqug h arbstg``b ib cjbgaabe, phr ?A 0 t 0 -9?A

    -arbstg``b ib cjbgaabe, phr t0 -9?A

    Bk chkhrg`h `h pgrtbah``h igaqug prhshktb kh``h kumb jgkke ibglhtrb le`te rbiettb,pgrb

    g 7? 1? l.

    Ib aekshcuhkzg hssh seke lgkthkuth sesphsh ig``h aerrhktb gsahksbekg`b ih``gtlesdhrg

    h ihveke khahssgrbglhkth bkcressgrsb (dbke g ?.8 = ll) phr igr `uece g``h

    prhabpbtgzbekb.

    @bkcressglhkte ih``h pgrtbah``h igaqug gvbhkh gttrgvhrse iuh dhkelhkb>

    Aekihksgzbekh 6

    Aeg`hsahkzg .

    B` dhkelhke ib aekihksgzbekh ihthrlbkgte ig``h ibddhrhkzh ib thksbekh ib vgperh trg

    `h pgrtbah``h6 bkdgttb seke preprbe `h ceaabe`bkh igaqug aek lbker thksbekh gi

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    @h prhabpbtgzbekb11

    bkcressgrsb, rgccbukchkie ibglhtrb bkterke gb 7?? l. dgverbth ig``g prhshkzg ihb

    aesbiihttb kua`hb ib aekihksgzbekh, abe pgrtbah``h ibvhrsh ig``gaqug, prhvg`hkthlhkth

    aestbtubth ig sg`b .

    @h iblhksbekb ih``h pgrtbah``h aekihksgth rbsu`tgke gkaerg bksuddbabhktb.

    G``g aekihksgzbekh ihvh g``erg shcubrh `g aeg`hsahkzg, dhkelhke preiette igc`b urtb

    h`httrestgtbab, gttrgvhrse b qug`b `h pgrtbah``h pb crgkib bkc`emgke `h pb pbaae`h,

    rgccbukchkie b = ll ib ibglhtre h ihthrlbkgkie `g prhabpbtgzbekb gtlesdhrbajh.

    =.1. Lbsurg ih``h prhabpbtgzbekb

    _rblg ib preahihrh g``h`gmergzbekh stgtbstbag ihb igtb p`uvbelhtrbab, khahssgrbe

    bktreiurrh iuh kezbekb dekiglhktg`b phr `gkg`bsb bire`ecbag, evvhre quh``h ib g`thzzg ib

    prhabpbtgzbekh h phrbeie ib rbterke.

    G`thzzg ib prhabpbtgzbekh

    Ihttg gkajh g`thzzg ib pbeccbg, rgpprhshktg `g`thzzg ih``e strgte `bqubie rbagvgtg su`

    sue`e sh `gaqug kek hvgpergssh, kek ihd`ubssh suphrdbabg`lhkth, kek sb bkdb`trgssh hkek sb rgaaec`bhssh kh``h ihprhssbekb suphrdbabg`b, evvhre bk prhshkzg ib uk thrrhke

    tetg`lhkth pbgkhccbgkth h blphrlhgmb`h hi bk gsshkzg ib se`h. Qu tg`h prbkabpbe seke

    mgsgtb c`b strulhktb ib lbsurgzbekh ajh seke ib trh tbpb> p`uvbelhtrb, p`uvbecrgdb,

    kbvelhtrb.

    =.1.7. B` p`uvbelhtre

    B p`uvbelhtrb, strulhktb shlp`bab ajh vhkceke utb`bzzgtb phr tg`b lbsurgzbekb h seke

    derlgtb ig uk rbahvbterh gi blmute lukbte ib uk er`e tgc`bhkth ajh sb gppeccbg su uk

    rhabpbhkth rgaaec`bterh. Crgzbh gb igtb etthkutb ig` p`uvbelhtre pessbgle ag`ae`grh

    `bkthksbt lhibg ib pbeccbgbk rh`gzbekh g` thlpe g` qug`h ab sb rbdhrbsah. @bkthksbt

    bstgktgkhg iukquh igtg ig``g tgkchkth bk eckb pukte g``g aurvg bkthcrg`h ih``h

    prhabpbtgzbekb. Kh``h pgrth suphrberh ih``e strulhkte vbhkh gpp`bagtg ukg rhth

    lhtg``bagajh kek phrlhtth `hvgpergzbekh ih``gaqug, ukg ih``h prbkabpg`b agush aek

    `g prhshkzg ih` vhkte ib hrrerb ib lbsurgzbekh. Ietgzbekh gccbuktbvg ihb p`uvbelhtrb

    seke c`b sajhrlb ajh phrlhtteke ib g``grcgrh `g suphrdbabh rbahttbvg hi hvbtgke b dgstbib

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    19 Hshrabtgzbekh =

    ievutb g``g prhshkzg ih` vhkte. @g sah`tg ih``g

    pesbzbekh ih``e strulhkte dekiglhktg`h phr

    etthkhrh uk igte rhg`h, bkdgttb, mbseckg

    ae``eagrh b` p`uvbelhtre aek ukg ibstgkzg igc`b

    estgae`b vbabkb pgrb g` ieppbe ih``g`thzzg

    lgssblg ihb suiihttb blphiblhktb. Bk agse ib

    thrrhkb saekkhssb mbseckg rbusabrh g ae``eagrh

    `g meaag ih``e strulhkte pgrg``h`glhkth g`

    thrrhke hi ertecekg`h rbsphtte g``g ibrhzbekh

    ih``g agiutg gtlesdhrbag. G dbgkae (dbc. =.7) sb

    vhih `e sajhlg ib dukzbekglhkte ib uk

    p`uvbelhtre, lhktrh kh``g dbcurg bk mgsse

    (dbc.=.=) h rbpertgte uk leihrke p`uvbelhtre

    ibcbtg`h.

    Dbcurg =.7> sajhlg ib dukzbekglhkte ib uk p`uvbelhtre

    Dbcurg =.=> p`uvbelhtre g mgsau`g

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    @h prhabpbtgzbekb18

    =.1.=. B` p`uvbecrgde

    B@ p`uvbecrgde uke strulhkte pb prhabse h ab phrlhtth ib aekesahrh h ib

    aelprhkihrh `g vgrbgzbekh ih``bkthksbt ib pbeccbg h ih``g`thzzg ib prhabpbtgzbekh

    aestgkthlhkth. Qb trgttg iukquh ib uke strulhkte lhaagkbae phr `g lbsurgzbekh ih``h

    prhabpbtgzbekb gtlesdhrbajh. B` p`uvbecrgde aestbtubsah uk'ukbt ib rb`hvgzbekh gutekelg

    (aelprhkih bkdgttb shkserh, rhcbstrgterh crgdbaeh g`blhktgzbekh) h khahssbtg se`e

    ib hsshrh ae``hcgte g``'blmute ib agtturg, g``e saepe ib rgaaec`bhrh `h prhabpbtgzbekb.

    Wuhste rhcbstrgterh

    pgrtbae`grlhkth

    bkibagte phr b`

    lekbtergccbe ih``g

    pbeccbg h rgpprhshktg

    uk aelpekhkth

    hsshkzbg`h g``'bkthrke ib

    ukg tbpbag stgzbekh

    a`blgte`ecbag, ajh

    aelprhkih u`thrberb

    strulhktb phr b

    rhstgktb pgrglhtrb

    dekiglhktg`b, qug`b prhssbekh, ulbibt, thlphrgturg.

    Hsbsteke trh tbpb ib p`uvbecrgde> g mgsau`g, g sbdekh h tetg`bzzgterh.

    Xtb`bzzgkie b` p`uvbecrgde g mgsau`g `g pbeccbg rgaae`tg ig``'blmute, trgksbtggttrgvhrse b` ibspesbtbve ib rb`hvgzbekh - g vgsajhttg esab``gkth - kh` rhcbstrgterh, hi

    qubkib sagrbagtg g``'hsthrke ih``e strulhkte. B` _`uvbecrgde dukzbekg crgzbh

    g``'esab``gzbekh ib ukg vgsajhttg bk lhtg``e `hcchre, tgrgtg phr ukg shksbmb`bt ib

    ?,=ll/lq ib pbeccbg. @g vgsajhttg ibvbsg bk iuh aelpgrtblhktb hi esab``g

    `bmhrglhkth aelh ukg mb`gkabg bkterke gi uk gssh erbzzektg`h6 qugkie ?,=ll/lq ib

    gaqug jgkke rbhlpbte uk aelpgrtblhkte, `g vgsajhttg sagttg bk pesbzbekh hi b` sue

    levblhkte trgslhsse g``g phkkg sarbvhkth, ajh rhcbstrg `h bkderlgzbekb su uk

    ibgcrgllg crgiugte. @g rhcbstrgzbekh aeksbsth bk ukg shrbh ib trgaah ibsaektbkuh h `g

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    14 Hshrabtgzbekh =

    ibstgkzg drg eckb trgaabg rgpprhshktg `'bkthrvg``e ib thlpe drg prhabpbtgzbekb ib

    ?,=ll/lq. Xk sbsthlg ib bkcrgkgccb aekshkth g``g phkkg ib trgaabgrh b` ibgcrgllg bk

    hktrglmh `h ibrhzbekb - ig` mgsse bk g`te h vbahvhrsg - h rbphtutglhkth> phrtgkte `g

    sag`g ib lbsurg vbrtug`lhkth b``blbtgtg.

    @g phribtg pgrb g` 8% ib pbeccbg agiutg hi

    ievutg g` levblhkte ihb rhabpbhktb ievute g`

    cbece(sbsthlg vgsau`gkth).

    @ukbag ibddhrhkzg ih` p`uvbecrgde g sbdekh

    `g prhshkzg gppukte ib uk shlp`bah sbdekh

    ajh thkih g rbhlpbrsb dbke g` suaahssbve

    gihsaglhkte ajh phrlhtth ib sagrbagrh

    `gaqug g``hsthrke ih``e strulhkte, lg b`

    lhaagkbsle ih``g puktg sarbvhkth

    prhsseaj ucug`h.

    Bk lektgckg bkvhah vbhkh utb`bzzgte b`

    p`uvbecrgde tetg`bzzgterh agpgah ib

    lbsurgrh h rhcbstrgrh `g agiutg ib pbeccbg phr lhsb bk aekibzbekb glmbhktg`b hstrhlh

    hi bk `uecjb ibddbab`lhkth gaahssbmb b6 phr tg`h letbve sb trgttg ib uke strulhkte g`te 8/4

    lhtrb h aek ukg meaag ib abrag uk lhtre. Qu` dekie ib quhste strulhkte vbhkh

    ihpesbtgtg ukg muekg qugktbt ib e`be, ajh blphrlhgmb`bzzg `gaqug, h ib `bqubie gktb-

    ch`e ajh hsshkie pb `hcchrb ih``gaqug stgckgke su ib hssg h kek phrlhtteke b`

    aekch`glhkte ih``g sthssg, ajh preveajhrhmmh b` m`eaae ih` sbsthlg hi ukg iblbkuzbekh

    ih` ve`ulh rhg`h.

    =.1.1. B` kbvelhtre

    B` kbvelhtre uke strulhkte ajh rgaaec`bh `g khvh phr ag`ae`grh `g`thzzg lhibg ih`

    lgkte khvese, `g qugktbt ib khvh agiutg g` sue`e, `g aerrbspekihkth qugktbt ib gaqug

    ag`ig khahssgrbg phr sabec`bhrh aelp`htglhkth `g khvh hi b` kulhre ib cberkb phr b

    qug`b `g khvh rblgkh g` sue`e shkzg aeksbihrgrh khvbagth suaahssbvh. B` kbvelhtre jg

    ukgphrturg ib abrag 1?/9? ahktblhtrb h vbhkh peste bk `eag`bt lektuesh hspesth sphsse

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    @h prhabpbtgzbekb13

    g `ukcjh khvbagth. Khb `uecjb aek gmmekigktb qugktbt ib khvh sb

    ahrag ib dekihrh `g khvh agiutg bk leie ajh kek gmmbg gi estrubrh

    `e strulhkte, e aek b` ag`erh ibrhtte derkbte ig ukg rhsbsthkzg

    h`httrbag h aek `bllhtthrvb ukg qugktbt ketg ib gaqug ag`ig ajh

    peb vbhkh settrgttg ig` tetg`h lbsurgte, lg sb preveag

    `hvgpergzbekh h sb thkih g dg`sgrh b igtb etthkutb.

    =.9. Blpbhce ihb igtb p`uvbelhtrbab

    @g lbsurg ihb igtb p`uvbelhtrbab gppgkkgccbe ih``e stgte ajh hsp`bag quhstg dukzbekh

    lhibgkth ukg rhth ib strulhktb pestb su` thrrbterbe btg`bgke. @g sbkce`g `eag`bt bk aub sb

    hddhttugke `h lbsurgzbekb prhkih b` kelh ib stgzbekh hi b igtb rh`gtbvb gi eckb stgzbekh

    vhkceke rbpertgtb gkke phr gkke khc`b gkkg`b bire`ecbab.

    =.9.7. Gkkg`b bire`ecbab

    C`b gkkg`b bire`ecbab aestbtubsaeke uke strulhkte dekiglhktg`h phr `g prechttgzbekh birgu`bag,

    pebaj rgaae`ceke tuttb b igtb p`uvbelhtrbab rhcbstrgtb iurgkth `gkke su` thrrbterbe btg`bgke, ajh

    prhshktg abrag uke strulhkte eckb :? Fl=.

    @g pgrth ib lgccber bkthrhssh ig` pukte ib vbstg bkchckhrbstbae `g shaekig, rbpertgkth `h

    bkderlgzbekb chkhrg`b su``h stgzbekb p`uvbelhtrbajh ib rbdhrblhkte (kelh, pesbzbekh su` `bvh``e

    lhibe ih` lgrh, strulhktb giephrgtb h agrgtthrbstbajh), aub shcueke ukg shrbh ib tgmh``h, shb phr

    stgzbekh.

    BYgmh``g

    @g pb blpertgkth, pebaj rbpertg b igtb ihb p`uvbelhtrb, bk pgrtbae`grh b` vg`erh lhibe cberkg`bhre h

    lhksb`h ih``g`thzzg ib prhabpbtgzbekh, b` lgssble gkkug`h h b` kulhre ib cberkb pbevesb*.

    BBYgmh``g

    ]gpprhshktg uk rbhpb`ece ih``g prblg, aek lgccber gtthkzbekh gb igtb lhksb`b hi gkkug`b.

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    1: Hshrabtgzbekh =

    BBBYgmh``g

    ]bpertg b igtb ihb p`uvbecrgdb h, bk pgrtbae`gr leie, b lgssblb gkkug`b ib pbeccbg phr phrbeib ib 7, 1,

    4, 7=, =9 erh, aek b cberkb ib lbsurgzbekh.

    BT Ygmh``g

    ]gaaec`bh b vg`erb rbcugrigktb `h lgssblh prhabpbtgzbekb ih``gkke phr phrbeib ib pb cberkb

    aekshautbvb.

    TYgmh``g

    ]bpertg b igtb ih``h pbeccbh ib mrhvh iurgtg h derth bkthksbt.

    TB

    Ygmh``g

    ]bcugrig `h prhabpbtgzbekb khvesh, gttrgvhrse b vg`erb rhcbstrgtb igb kbvelhtrb.

    =.9.=. Gkg`bsb stgtbstbag

    Wuhstb igtb seke b` pukte ib pgrthkzg phr vg`utgrh pgrhaajb pgrglhtrb bk dgsh ib prechttgzbekh trglbth

    ukg h`gmergzbekh stgtbstbag. @g shaekig dgsh ih``gkg`bsb bire`ecbag rbcugrig `g stblg ih``g aesbiihttg

    pertgtg g` ae`le phr uk gsshckgte mgabke gi uk dbssgte phrbeie ib rbterke Y.Qb ihdbkbsah phrbeie

    ib rbterke Y, `bkthrvg``e ib thlpe lhibe trg iuh suaahssbvh rhg`bzzgzbekb ib uk hvhkte.

    Hsse rgpprhshktg ukbpethsb dekiglhktg`h kh``g prechttgzbekh birgu`bag, bk qugkte

    rbsu`tg preperzbekg`h g``blpertgkzg ih``ephrg h gb rbsajb ihrbvgktb ig pessbmb`b hrrerb e

    cugstb. Aelh cb gktbabpgte, `g vg`utgzbekh ihb igtb p`uvbelhtrbab vbhkh aekiettg gttrgvhrse

    `gpp`bagzbekh ib `hccb ib ibstrbmuzbekh stgtbstbag, g` dbkh ib ag`ae`grh `g premgmb`bt ajh vhkcg

    suphrgte uk ihthrlbkgte vg`erh ib sec`bg, kh` agse pgrtbae`grh `g pertgtg g` ae`le Wa.

    B vg`erb ih``g pertgtg g` ae`le, e pertgtg lgssblg, petrhmmhre gkajh hsshrh rbagvgtb gttrgvhrse

    ibvhrsh hsprhssbekb, aelh >

    Derlu`g ib _gc`bgre 6

    Derlu`g ib Yekbkb 6

    Derlu`g ib Cjhrgrih``b-Lgrajhttb.

    Ajh phr trevgke ibddbab`h gpp`bagzbekh bk qugkte `g `ere gddbigmb`bt sh pgrgcekgtg gb rbsu`tgtb

    ih``g stgtbstbag le`te mgssg h sb aerrh b` rbsajbe ib sevrgstblg e settestblg ih``g pertgtg.

    Wuhste phraj quhsth seke derlu`h hlpbrbajh.

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    @h prhabpbtgzbekb12

    @g ibstrbmuzbekh stgtbstbag usgtg pb drhquhkthlhkth (hi gkajh `g pb gktbag) `g `hcch ib

    Culmh`6 g`trh `hccb seke `g YAHT (twe aelpekhkts hstrhlh vg`uhs), `g ibstrbmuzbekh ib

    Shbmu``(pb gigttg g``h ekih ib lgrh) h `g `hcch ib Drajht.

    @g aerrhtthzzg ih``g sah`tg ih``g `hcch stgtbstbag pu hsshrh dgab`lhkth vhrbdbagtg gttrgvhrse b`

    thst ib _hgrsek.

    Bkdbkh `utb`bzze ib ukg ibstrbmuzbekh stgtbstbag, phrlhtth ib rbpertgrh b igtb su agrtg premgmb`bstbag

    h aekshkth b` ag`ae`e ih``h pertgth g` ae`le phr dbssgtb phrbeib ib rbterke h `g rbse`uzbekh ib le`tb

    prem`hlb `hcgtb g` rbsajbe h g` phrbeie ib rbterke sthsse.

    =.8. Qve`cblhkte ih``hshrabtgzbekh =

    Bk shcubte vhirhle `gpp`bagzbekh ib qugkte dbkerg ihtte su igtb rhg`b hddhttugtb su`

    mgabke birecrgdbae ib bkthrhssh ih` dbulh ]uddg `g aub hsthksbekh grhg`h ib abrag 17=

    Fl=.

    _hr pethr stblgrh b pgrglhtrb ih``g ibstrbmuzbekh ib premgmb`bt, ajh sb suppekh sbg ukg

    Culmh`, khahssgrbe rbagvgrh g`aukb igtb.

    @g `hcch ib Culmh`, ajh hsprblh `g premgmb`bt ajh ukg vgrbgmb`h g`hgterbg Z sbg

    suphrberh g ukg sec`bg prhdbssgtg x, lgthlgtbaglhkth hsprhssg ig``g shcuhkth

    derlu`g>

    _ < ( Z x ) < h h

    Qb rbthkute eppertuke igte `bkchkth qugktbt ib ag`ae`b ig hddhttugrh, ekih hvbtgrh

    hrrerb ib qug`sbgsb kgturg ajh bkaerrhrhmmhre kh` ag`ae`e g lgke (kek u`tblg `g

    prepgcgzbekh ih``hrrerh kh``h gppressblgzbekb suaahssbvh ihb igtb) ib blpestgrh uk

    dec`be ib ag`ae`e Lbaresedt hxah`(hshrabtgzbekh = ih` ai g``hcgte) b aub rbsu`tgtb seke pb

    gvgktb rbpertgtb. Kh``g tgmh``g ihrbvgtg aelp`htglhkth ig``glmbhkth ib `gvere ih`

    dec`be ib ag`ae`e hsprblbgle tuttb b igtb khahssgrb g``e sve`cblhkte ih``g `hcch ib

    Culmh`, bk quhstg shquhkzg>

    7.

    kh``g prblg ae`ekkg seke stgtb rbpertgth `h lbsurgzbekb ihb lgssblb gkkug`b

    ih``h pertgth g` ae`le Wa (l1/s) trgttb igc`b Gkkg`b bihe`ecbab 6

    -( x u )

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    9? Hshrabtgzbekh =

    =. kh``g shaekig ae`ekkg seke stgtb rbpertgth `h sthssh lbsurgzbekb bk eribkh

    arhsahkth6

    1. `g thrzg ae`ekkg rbpertg `h eribkg`bt (b) rh`gtbvb gb prhahihktb igtb ib pertgtg6

    9. `g qugrtg ae`ekkg rbpertg `h drhquhkzh (Db) rh`gtbvh gi eckb igte ib pertgtg. @g

    drhquhkzg stgtg ag`ae`gtg trglbth `g derlu`g ib Crhhk-cetthk>

    Db

    z < - ( x u)

    _hr b` ag`ae`e ib quhstb vg`erb gpp`bajbgle b` `ecgrbtle khphrbgke gi hktrglmb

    b lhlmrb ih``g `hcch ib Culmh`>

    _ < ( Z x ) < h h

    `k _ < `k h- h

    `k _ < -h (x-u) aglmbgkie b` shcke gi hktrglmb b lhlmrb>

    -`k _ < h (x-u) ajh ucug`h g

    `k7-`k _

    `k `k 7/_ < `k h (x-u) evvhre>

    `k `k 7/_ < (x-u)

    Hsshkie `g vgrbgmb`h gusb`bgrbg ihdbkbtg aelh> z < (x-u)

    Qb jg >

    z < -`k `k

    b ?.99

    K + ?.7=

    -( x u )

    -( x u )

    7

    _

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    @h prhabpbtgzbekb97

    _hr b` therhlg ih` `blbth ahktrg`h, `g drhquhkzg Db sb pu aeksbihrgrh

    ucug`h g``g premgmb`bt_, bk qugkte b igtb rbsu`tgke hsshrh peae kulhresb.

    Aes pessbmb`h ag`ae`grh b vg`erb ib z aelh>

    z < -`k `k

    4. `g shstg ae`ekkg rbpertg b igtb rh`gtbvb g` thlpe ib rbterke Y, ag`ae`gte ig``g

    shcuhkth hsprhssbekh>

    Y