prinsip dan teknik evaluasi pengajaran
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njunf ynf` kg`ufnhnf. Lgsnifyn, hojopntnf hofknrnnf ;=
hl/enl nhnf lolgighg gftorprotnsg ynf` corcokn npncgin
hofknrnnf torsocut nknina sopokn knf ldcgi.
:.Ovniunsg
]of`uhurnf, pofgingnf knf ovniunsg lorupnhnf ho`gntnf
ynf` corsgbnt agornrhg. Nrtgfyn hotg`n ho`gntnf torsocut kninl
hngtnffyn kof`nf prdsos coinenr lof`nenr tgknh knpnt
kgpgsnahnf sntu snln ingf knf kninl poinhsnfnnffyn anrus
kginhsnfnhnf sojnrn corurutnf.
Ovniunsg Lofurut Zuanrsglg (3==;5>) nknina ho`gntnf
uftuh lof`ulpuihnf gfbdrlnsg toftnf` cohorenfyn sosuntu,
ynf` soinfeutfyn gfbdrlnsg torsocut kg`ufnhnf uftuh
lofoftuhnf nitorfntgb ynf` topnt kninl lof`nlcgi hoputusnf.
Kninl cgknf` pofkgkghnf, ovniunsg socn`nglnfn kghntnhnf
@rdfiufk (>77=5?) lorupnhnf prdsos ynf` sgstolntgs toftnf`lof`ulpuihnf, lof`nfnigsgs knf lofnbsgrhnf gfbdrlnsg uftuh
lofoftuhnf soenualnfn tueunf polcoinenrnf toina kgjnpng
dioa sgswn. Lofurut Keolnrg Lnrknpg (3==;5>7) ovniunsg nknina
prdsos lof`ulpuihnf gfbdrlnsg uftuh lof`otnaug pofjnpngnf
coinenr hoins ntnu hoidlpdh.
Knrg pofknpnt kg ntns, nkn cocornpn ani ynf` lofenkg jgrg
hans knrg ovniunsg yngtu5 (>) socn`ng ho`gntnf ynf` sgstolntgs,
poinhsnfnnf ovniunsg anrusina kginhuhnf sojnrn
corhosgfnlcuf`nf. Zocuna prd`rnl polcoinenrnf soanrusfyn
kgovniunsg kgsotgnp nhagr prd`rnl torsocut, (3) kninl
poinhsnfnnf ovniunsg kgcutuahnf kntn knf gfbdrlnsg ynf`
nhurnt uftuh lofufenf` hoputusnf ynf` nhnf kgnlcgi.
Nsulsg-nsulsg ntnupuf prnsnf`hn. cuhnf lorupnhnf
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infknsnf uftuh lof`nlcgi hoputusnf kninl ovniunsg, knf (:)
ho`gntnf ovniunsg kninl pofkgkghnf tgknh porfna toriopns knrg
tueunf-tueunf polcoinenrnf ynf` toina kgtotnphnf socoiulfyn.
Hnrofn gtuina pofkohntnf `dni drgoftoklorupnhnf pofkohntnf
ynf` pnigf` sosung uftuh ovniunsg polcoinenrnf.
Lofurut Zuanrsglg (3==05:) lofkobgfgsghnf8 Lof`uhur
nknina lolcnfkgf`-hnf sosuntu kof`nf sntu uhurnf.
]of`uhurnf corsgbnt hunftgtntgb. Lofging nknina lof`nlcgi
suntu hoputusnf toranknp sosuntu kof`nf uhurnf cngh curuh.
Ovniunsg nknina loigputg hokun inf`hna kg ntns, ynhfg
lof`uhur knf lofging.
Kninl polcoinenrnf ynf` torenkg kg sohdina ntnu
haususfyn kg hoins, `uru nknina pganh ynf` pnigf` cortnf``uf`
enwnc ntns ansgifyn. Kof`nf kolghgnf, `uru pntut kgcohnig
kof`nf ovniunsg socn`ng gilu ynf` lofkuhuf` tu`nsfyn, ynhfg
lof`ovniunsg ansgi coinenr sgswn. Kninl ani gfg `uru cortu`nslof`uhur npnhna sgswn sukna lof`unsng gilu ynf` kgpoinenrg
dioa sgswn ntns cglcgf`nf `uru sosung kof`nf tueunf ynf`
kgrulushnf.
;.[ueunf knf Buf`sg ]ofgingnf
Buf`sg pofgingnf pofkgkghnf nftnrn ingf 5
n.]ofgingnf corbuf`sg socn`ng soiohtgb, kof`nf pofgingnf `uru
lolpufyng jnrn uftuh lof`nknhnf soiohsg ntnu pofgingnf
toranknp sgswnfyn.
c.]ofgingnf corbuf`sg socn`ng kgn`fdstgh, kof`nf pofgingnf
socofnrfyn `uru lof`nknhnf kgn`fdsgs hopnkn sgswn
toftnf` hocnghnf knf hoiolnanffyn. Kof`nf kghotnaugfyn
socnc-socnc hoiolnanf gfg, nhnf iocga lukna kgjnrg jnrn
uftuh lof`ntnsgfyn.
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j.]ofgingnf corbuf`sg socn`ng pofolpntnf, kof`nf pofgingnf
`uru knpnt lofoftuhnf kof`nf pnstg kg hoidlpdh lnfn
sodrnf` sgswn anrus kgtolpnthnf.
k.]ofgingf corbuf`sg socn`ng pof`uhur hocoransginf, kof`nf
pofgingnf `uru knpnt lof`ntnaug snenua lnfn suntu
prd`rnl coransgi kgtornphnf.
C. Zuceoh knf Znsnrnf Ovniunsg
>. Zuceoh Ovniunsg
Wnf` kglnhsuk kof`nf suceoh ovniunsg nknina drnf` ynf`
loinhuhnf pohorennf ovniunsg ntnu poinhsnfn ovniunsg, yngtu
kninl ani gfg nknina `uru. Nkn pnfknf`nf ingf ynf` kgsocut
kof`nf suceoh ovniunsg nknina sgswn, ynhfg drnf` ynf`
kgovniunsg. Kninl ani gfg ynf` kgpnfknf` socn`ng dceoh
lgsnifyn 5 prostnsg coinenr, holnlpunf loldrg, `nyn coinenr
knf ingf socn`ngfyn. ]nfknf`nf ingf in`g lof`hinsgbghnsghnf
sgswn socn`ng dceoh ovniunsg knf `uru socn`ng suceohfyn.
3. Znsnrnf Ovniunsg
Znsnrnf ovniunsg loigputg ufsur-ufsur 5 gfput, trnfsbdrlnsg
knf dutput.
n.Gfput
Loigputg nspoh 5
- Holnlpunf, nint uhur ynf` kg`ufnhnf nknina tos
holnlpunf (nttgtuko tost).
- Hoprgcnkgnf, nint uhur ynf` kg`ufnhnf nknina tos
hoprgcnkgnf (porsdfnigty tost).
- Zghnp-sghnp, nint uhur ynf` kg`ufnhnf nknina tos shnin
sghnp (nttgtuko sjnio).
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- Gftoig`ofsg, nint uhur ynf` kg`ufnhnf nknina tos gftoig`ofsg,
ansgi tos nhnf kghotnaug G^ (gftoiig`ofjo ^udtgoft) sgswn.
c.[rnfsbdrlnsg
_fsur-ufsur kninl trnfsbdrlnsg ynf` lofenkg dceoh
pofgingnf nftnrn ingf 5
- Hurghuiul/lntorg
- Lotdko knf jnrn pofgingnf
- Znrnfn pofkgkghnf/lokgn
- Zgstol nklgfgstrnsg
- @uru knf porsdfni ingffyn.
j.Dutput
]ofgingnf toranknp iuiusnf suntu sohdina kginhuhnf uftuh
lof`otnaug socornpn enua tgf`hnt pofjnpngnf/prostnsg
coinenr lorohn soinln lof`ghutg prd`rnl. Nint ynf`
kg`ufnhnf uftuh lof`uhur pofjnpngnf gfg kgsocut tos
pofjnpngnf ntnu njagovloft tost.
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1
CNC GG
]SGFZG] KNF NIN[ ORNI_NZG
N. ]rgfsgp Ovniunsg
Nkn sntu prgfsgp ulul knf poftgf` kninl ho`gntnf
ovniunsg, yngtu nknfyn trgnf`uinsg ntnu aucuf`nf ornt tg`n
hdlpdfof, yngtu nftnrn tueunf polcoinenrnf, ho`gntnf
polcoinenrnf ntnu HCL knf ovniunsg.
[rgnf`uinsg torsocut knpnt kg`nlcnrhnf kninl cn`nf
socn`ng corghut 5
n.Aucuf`nf nftnrn [ueunf kof`nf HCL
Ho`gntnf coinenr lof`nenr ynf` kgrnfjnf` kninl coftuh
rofjnfn lof`nenr kgsusuf dioa `uru kof`nf lof`nju pnkn
tueunf ynf` aofknh kgjnpng. Kof`nf kolghgnf, nfnh pnfna
ynf` lofufeuhhnf aucuf`nf nftnrn hokunfyn lof`nrna
pnkn tueunf kof`nf lnhfn cnawn HCL lof`nju pnkn
tueunf, totnpg eu`n lof`nrna knrg tueunf ho HCL.
c.Aucuf`nf nftnrn [ueunf kof`nf Ovniunsg
Ovniunsg nknina ho`gntnf pof`ulpuinf kntn uftuh
lof`uhur soenua lnfn tueunf sukna torjnpng. Kof`nf
lnhfn kolghgnf lnhn nfnh pnfna cornsni knrg ovniunsg
lofueu ho tueunf. Nint ovniunsg lof`nju pnkn tueunf ynf`
sukna kgrulushnf.
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j.Aucuf`nf nftnrn HCL kof`nf Ovniunsg
Zoingf lof`nju pnkn tueunf, ovniunsg eu`n anrus lof`nju
ntnu kgsosunghnf kof`nf HCL ynf` kginhsnfnhnf.
C. Nint Ovniunsg
Kninl pof`ortgnf ulul, nint nknina sosuntu ynf` knpnt
kg`ufnhnf uftuh lolporlukna sosodrnf` uftuh loinhsnfn-
hnf tu`ns ntnu lofjnpng tueunf sojnrn iocga obohtgb knf
obgsgof. Hntn nint cgnsn kgsocut eu`n kof`nf gstgina
gfstrulof. Kof`nf kolghgnf nint ovniunsg eu`n kghofni
kof`nf gfstrulof ovniunsg.
Nint ovniunsg kghntnhnf cngh npncgin lnlpu lof`ovniunsg
sosuntu ynf` kgovniunsg kof`nf ansgi soportg honknnf ynf`
kgovniunsg. Kninl lof``ufnhnf nint torsocut ovniuntdr
lof``ufnhnf jnrn ntnu tohfgh, knf dioa hnrofn gtu kghofni
kof`nf tohfgh ovniunsg. Nkn kun tohfgh ovniunsg, yngtu tohfgh
tos knf fdf tos.
N`nr knpnt kgpordioa shdr knf fging ynf` cofnr-cofnr
lownhgig suntu dceoh, lnhn sodrnf` `uru anrus
lolpor`ufnhnf suntu nint uhur ynf` corlutu. _ftuh knpnt
lof``ufnhnf suntu nint pof`uhur ynf` corlutu sojnrn topnt,
lnhn sodrnf` `uru poriu lolnanlg knf lof`ofni corcn`ng
ani soportg tohfgh tos knf fdf tos, jgrg-jgrg tos, porofjnfnnf
knf pofyusufnf tos ynf` kgcunt `uru.
>.[ohfgh [os
Nint pof`uhur tos cnfynh kgpor`ufnhnf kninl cgknf`
pof`uhurnf prostnsg coinenr kg sohdina, haususfyn kgpnhng
uftuh lof`uhur tgf`hnt hocoransginf sgswn kninl lofjnpng
tueunf pofkgkghnf knf pof`nenrnf ntnu gfstruhsgdfni. [os
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>=
socn`ng nint pof`uhur lolpufyng corlnjnl-lnjnl nrtg.
Znina sntu nrtgfyn yngtu tos nknina suntu nint pof`uhur ynf`
corupn sornf`hngnf portnfynnf ynf` anrus kgenwnc sojnrn
sof`nen kninl suntu sgtunsg ynf` kgstnfknrgsnsghnf, knf ynf`
kglnhsuk uftuh lof`uhur holnlpunf knf ansgi coinenr
gfkgvgku ntnu hoidlpdh.
Eofgs-Eofgs [os
Zodrnf` `uru poriu lof`ofni eofgs-eofgs tos ynf`
kgpor`ufnhnf kninl sotgnp ho`gntnf pof`uhurnf sgbnt suntu
dceoh (soportg prostnsg ntnu ansgi coinenr sgswn) knrg suntu lntn
poinenrnf ynf` kgnlpufyn.
n.[os lofurut vnrgncoi ntnu npnfyn ynf` lnu kguhur
>)[os prostnsg coinenr ntnu ansgi coinenr ntnu njagovoloft
tnst.
Nknina suntu tos ynf` lof`uhur prostnsg sosodrnf`
kninl suntu cgknf` stukg socn`ng ansgi prdsos coinenr
ynf` hans, ynf` kginhuhnf sojnrn sof`nen kninl coftuh
pof`otnaunf, polnanlnf, hotrnlpginf, sghnp knf fging.
Kof`nf kolghgnf buf`sg utnln tos ansgi coinenr nknina
lof`uhur hocoransginf coinenr sgswn knf sohnig`us puin
lof`uhur hocoransginf `uru kninl lof`nenr suntu lntn
poinenrnf.
Hohuntnffyn 5
Ansgi shdr knf fging ynf` suf``ua-suf``ua roiovnf knf
nhurnt knpnt lofenkg snrnfn uftuh lofgf`hnthnf
ldtgvnsg coinenr sgswn sosung kof`nf holnlpunffyn.
Hoiolnanffyn 5
- Ansgi tos prostnsg coinenr tgknh porfna lofjnpng
hojorlntnf knf nhurnsg ynf` tgf``g.
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- [os ansgi coinenr ynf` coiul kgueg jdcnhnf toriocga
knauiu pnkn ululfyn tnrnb roigncgigtns, vnigkgtns,
hosuhnrnf knf knyn cokn gtolgtolfyn coiul
loynhgfhnf.
3)[os Holnlpunf Coinenr ntnu [os Cnhnt _lul
Nknina tos ynf` kgkosngf uftuh lof`uhur hnpnsgtns,
lornlnihnf npn ynf` knpnt kgjnpng sosodrnf` pnkn lnsn
kntnf` loiniug pofkgkghnf ntnu intganf. ]of`uhurnf
cnhnt sosodrnf` sojnrn tgknh inf`suf` kgprdyohsghnf
uftuh lnsn kopnf kof`nf jnrn lof`uhur holnlpunf
ynf` kgtufeuhhnf pnkn wnhtu sohnrnf`. [os cnhnt
kgcoknhnf tos cnhnt ulul knf tos cnhnt hausus. [os
cnhnt ulul iocga kg lnhsukhnf uftuh lof`uf`hnp
cnhnt kninl igf`hup iocga iuns torutnln kninl
aucuf`nffyn kof`nf tu`ns-tu`ns ntnu pohorennf
sohdina. Zoknf`hnf tos cnhnt hausus iocga lof`uf`hnp
cnhnt kninl igf`hup iocga hausus, soportg cnhnt dinarn`n,
sofg knf socn`ngfyn.
Hohuntnffyn 5
[os gfg knpnt lolcnftu sgswn kninl lof`nrnahnf stukg
lnupuf lolgiga inpnf`nf pohnrennf n`nr tgknh `n`ni
kninl lofjnpngfyn.
Hoiolnanffyn 5
- [os gfg tgknh knpnt lof`uhur soiurua nspoh
holnlpunf sgswn.
- Enf`hnunf pof``ufnnffyn snf`nt torcntns.
Jdftda [os Holnlpunf coinenr nknina 5
- [os corbghgr vorcni pofninrnf
- [os corbghgr pof``didf`nf
- [os holnlpunf ulul
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>3
- [os porcofknanrnnf hntn
- [os pof``ufnnf cnansn Gfkdfosgn
c.[os lofurut coftuh ntnu tgpo-fyn
>)[os hnrnf`nf ntnu urngnf (Ossny [ost)
Nknina suntu tos ynf` lolcorg hosolpntnf sgswn uftuh
lof`dr`nfg-snsghnf enwncnffyn sojnrn cocns sosung
kof`nf holnlpunffyn kof`nf cnansnfyn sofkgrg ntns
soeulina gtol ynf` rointgb hojgi knf tuftutnf enwncnf
ynf` cofnr, roiovnf, iof`hnp, knf corstruhtur knf eoins.
3) [os Dceohtgb ntnu Dceojtgvo [ost
Nknina suntu tos ynf` toina lofyokgnhnf soeulina
enwncnf, soagf``n enwncnf tgf``ni lolgiga sntu enwncnf
cofnr knrg soeulina enwncnf ynf` torsokgn knrg soeulina
cosnr gtol.
[os dceohtgb kgcoknhnf in`g lofenkg 5
(>)Coftuh Cnfnr-Znina ntnu [ruo-Bniso tost
(3)Coftuh pgiganf `nfkn ntnu Luitgpio-jadgjo tost
(:)Coftuh lofedkdahnf ntnu Lntjagf` tost
:)[os Zolg Dceohtgb ntnu solg Hnrnf`nf
Nknina tos ynf` lolcorg hosolpntnf hopnkn sgswn
uftuh lof`ansgihnf enwncnffyn sofkgrg sojnrn sgf`hnt
sosung kof`nf holnlpunffyn knf cnansnffyn sofkgrgntns soeulina gtol ynf` rointgb n`nh cosnr soagf``n
enwncnf knpnt cofnr ntnu snina ntnu n`nh cofnr ntnu
n`nh snina. [os gfg kgcoknhnf in`g lofenkg 5
(>)[os enwncnf sgf`hnt (sadrt nfswor tost)
(3)[os loiof`hnpg (jdlpiotgdf tost)
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>:
j.[os lofurut inlnfyn wnhtu pof`uhurnf
>)[os Hohuntnf ntnu ]dwor [ost
Nknina suntu tos ynf` lof`uhur tnrnb holnlpunf sgswn
kninl cntns wnhtu ynf` sojuhupfyn. Nhnf totnpg ynf`
kgpoftgf`hnf cuhnfina hojopntnf lofenwnc sgswn.
3)[os Hojopntnf ntnu Zpook [ost
Nknina suntu tos kg lnfn ynf` kgpoftgf`hnf nknina
hojopntnf lofenwnc, cgnsnfyn kguhur kninl coftuh
cnfynhfyn eulina enwncnf ynf` cgsn kgsoiosnghnf kninl
suntu wnhtu ynf` torsokgn.
k.[os lofurut ho`ufnnffyn
>)[os Kgn`fdstgh
Nknina suntu tos ynf` kg`ufnhnf uftuh lof`otnaug
hohurnf`nf-hohurnf`nf sgswn soagf``n corknsnrhnf
hohurnf`nf-hohurnf`nf torsocut knpnt kginhuhnf
polcorgnf porinhunf ynf` sosung.
3)[os Bdrlntgb
Nknina tos ynf` kg`ufnhnf uftuh lof`uhur soenua lnfn
sgswn toina lof`unsng cnanf poinenrnf, sotoina lof`ghutg
suntu prd`rnl ho`gntnf gfstruhsgdfni tortoftu. [os gfg
kgcorghnf pnkn nhagr sotgnp prd`rnl ho`gntnf
gfstruhsgdfni socn`ng pdst-tost. Knrg ansgi tos bdrlntgbsodrnf` sgswn knpnt lof`otnaug hoiolnanf knf
houf``uinffyn kninl lof`unsnnf cnanf poinenrnf,
lntorg lnfn ynf` sukna kghunsng knf lnfn ynf` coiul
kghunsng. Cn`g `uru knpnt kgenkghnf lnsuhnf, soenua
lnfn lntorg poinenrnf knpnt kghunsng sgswn.
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>;
:)[os Zulntgb
Nknina tos ynf` kginhsnfnhnf sotoina polcorgnf
hosoiuru-anf prd`rnl kninl suntu ho`gntnf gfstruhsgdfni
pnkn suntu porgdko cornhagr.
o.[os lofurut nint ohsprosgfyn
>)[os Fdf Rorcni
Nknina tos porcuntnf ntnu tgfknhnf. [os tgfknhnf nknina
tos kg lnfn enwncnffyn corcoftuh porcuntnf ntnu
tgfknhnf ynf` kganrnphnf sosung kof`nf porgftna ntnu gsggtolfyn.
3)[os Rorcni
Nknina tos ynf` lof`uf`hnphnf gsg gtol knf enwncnffyn
lolnhng sglcdi cnansn cngh ynf` lolpufyng nrtg
lnupuf ynf` tgknh, sojnrn igsnf ntnu tortuigs.
b.[os lofurut eulina sgswn ynf` kgigcnthnf>)[os Gfkgvgkuni (Gfkgvgkuni [ost)
Nknina suntu tos ynf` kginhsnfnhnf anfyn torcntns uftuh
sntu drnf` sgswn pnkn snnt tortoftu.
3)[os Hoidlpdh (@rdup [ost)
Nknina tos ynf` kginhsnfnhnf iocga knrg sntu drnf` sgswn
pnkn suntu snnt kninl wnhtu ynf` corsnlnnf.
`.[os lofurut tgf`hnt ntnu tnrnb lutufyn
>)[os Cuntnf @uru
Nknina suntu tos ynf` kgcunt knf kg`ufnhnf dioa sodrnf`
`uru sofkgrg kg sohdina. Ansgi tos cuntnf `uru cnfynh
kgpnhng uftuh lof`otnaug hokukuhnf prostnsg coinenr
sgswn kg hoins, holneunffyn knf socn`ngfyn.
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>?
3)[os Cnhu
Nknina suntu tos ynf` toina kgstnfknrgsnsghnf ntnu ynf`
kgsusuf sojnrn jorlnt dioa sodrnf` ntnu tgl naig
pofyusuf tos loiniug ueg jdcn corhnig-hnig, soagf``n tos
torsocut toina lolgighg lutu ynf` tgf``g.
3.[ohfgh Fdf [os
Nint pof`uhur fdf tos corupn rnf`hngf portnfynnf ntnu
porfyntnnf ynf` anrus kgenwnc sojnrn sof`nen kninl suntu
sgtunsg ynf` hurnf` kgstnfknrgsnsghnf knf ynf` kglnhsukhnf
uftuh lof`uhur holnlpunf ntnu ansgi coinenr ynf` knpnt
kgnlntg sojnrn hdfhrot knrg gfkgvgku ntnu hoidlpdh.
Eofgs-Eofgs Nint ]of`uhur Fdf [os
Corcn`ng nint pof`uhur fdf tos ynf` kglnhsuk nftnrn
ingf nknina dcsorvnsg, jntntnf nfohkdtn, knbtnr joh, shnin fging,
nf`hot knf wnwnfjnrn.
n.Dcsorvnsg ntnu ]of`nlntnf (dcsorvntgdf)
Nknina suntu tohfgh pof`nlntnf ynf` kginhsnfnhnf sojnrn
inf`suf` ntnu tgknh inf`suf` knf sojnrn toigtg toranknp
suntu `oenin kninl suntu sgtunsg kg suntu tolpnt.
>)[ohfgh pof`nlntnf dcsorvnsg sojnrn inf`suf` nknina
tohfgh pof`nlntnf kg lnfn sodrnf` `uru ntnu pof`nlntlof`nknhnf pof`nlntnf sojnrn inf`suf` (tnfpn
gfstrulof) toranknp `oenin ynf` kgnlntg.
3)[ohfgh pof`nlntnf tnh inf`suf` nknina tohfgh
pof`nlntnf ynf` lof``ufnhnf suntu gfstrulof
pof`nlntnf.
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>2
c.Jntntnf nfohkdtn ntnu Nfojkdtni Sojdrk
Nknina suntu jntntnf bnhtuni knf sohotghn toftnf` porgstgwn,
hoenkgnf, `oenin ntnu tgf`hna inhu ynf` sposgbgh knf
lofnrgh, ynf` kginhuhnf sgswn sojnrn gfkgvgkuni ntnu
hoidlpdh. Bnhtuni nrtgfyn jntntnf knrg pof`nlntnf cuhnf
tnbsgrnf, soknf`hnf sohotghn nrtgfyn so`orn sotoina porgstgwn
torenkg.
j.Knbtnr Joh ntnu Jaojh Igst
Nknina socuna knbtnr ynf` lolunt soeulina porfyntnnf
sgf`hnt, tortuigs toftnf` corcn`ng `oinen, ynf` kglnhsukhnf
socn`ng pofdidf` pofjntntnf nkn tgknhfyn sosuntu `oenin
kof`nf jnrn lolcorg tnfkn joh () pnkn sotgnp polufjuinf
`oenin ynf` kglnhsuk. Knbtnr joh gfg soknpnt luf`hgf
lolunt socnfynh luf`hgf porfyntnnf ynf` knpnt kgnlntg
ynf` torgfjg knf torulushnf sojnrn dpornsgdfni knf
sposgbgh.
k.Zhnin Fging ntnu Sntgf` Zjnio
Nknina socuna knbtnr ynf` lolunt soeulina porfyntnnf,
`oenin ntnu porginhu ynf` kgencnrhnf kninl coftuh shnin
ntnu hnto`drg ynf` corlnhfn fging knrg ynf` torofkna
snlpng ynf` tortgf``g. [u`ns pofging ntnu pof`nlnt tgf``ni
lolcorg tnfkn joh () kninl hdidl roftnf`nf fging.
o.Nf`hot ntnu ^uosgdfor
Nknina suntu knbtnr portnfynnf tortuigs ynf` torgfjg knf
iof`hnp ynf` anrus kgenwnc dioa rospdfkof toftnf`
prgcnkgfyn ntnu ani-ani ynf` kghotnaugfyn. Loiniug nf`hot,
ani-ani toftnf` kgrg rospdfkof knpnt kghotnaug. Lgsnifyn
toftnf` honknnf, ntnu kntn kgrgfyn soportg pof`ninlnf,
sghnp, lgfnt, hocgnsnnf coinenr knf socn`ngfyn. Gsg nf`hot
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>0
knpnt corupn portnfynnf-portnfynnf toftnf` rospdfkof.
]ortnfynnf-portnfynnf torsocut kgrulushnf sokolghgnf
rupn soagf``n knpnt kgpordioa enwncnf ynf` dceohtgb. Eu`n
poriu kgenigf horensnln nftnrn polcorg nf`hot knf
rospdfkof loiniug pof`nftnr nf`hot ynf` sglpntgh,
soagf``n rospdfkof torkdrdf` cohoren snln knf roin
lof`gsgfyn sojnrn eueur.
Kgtgfenu knrg jnrn lofenwnc portnfynnffyn, nf`hot knpnt
kghoidlpdhhnf lofenkg 5
>)Nf`hot torcuhn ntnu tnh corstruhtur, nknina nf`hot ynf`
kgsusuf sokolghgnf rupn, soagf``n rospdfkof sojnrn
cocns knpnt lolcorghnf enwncnf sosung kof`nf
cnansnfyn sofkgrg.
3)Nf`hot tortutup ntnu corstruhtur, nknina nf`hot ynf`
kgsusuf sokolghgnf rupn, soagf``n rospdfkof tgf``ni
lolgiga enwncnf ynf` kgsokgnhnf.
Kgtgfenu knrg enwncnf ynf` kgcorghnf, nf`hot kgcn`g lofenkg5
n)Nf`hot inf`suf`, nknina nf`hot ynf` kghgrgl hopnkn
rospdfkof knf inf`suf` kggsgfyn.
c)Nf`hot tnh inf`suf`, nknina nf`hot ynf` kghgrgl hopnkn
rspdfkof knf kgenwnc dioa drnf` ynf` cuhnf kglgftn
hotornf`nffyn. Enkg rospdfkof lofenwnc portnfynnf
toftnf` drnf` ingf.
b. Pnwnfjnrn ntnu Gftorvgow
Nknina suntu prdsos tnfyn enwnc sopganh nftnrn pownfjnrn
(gftorvgowor) knf ynf` kgwnwnfjnrng (gftorvgowoo), ynf`
kginhsnfnhnf snlcgi cortntnp luhn, cngh sojnrn inf`suf`
lnupuf tgknh inf`suf`, kof`nf lnhsuk lolpordioa
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>1
lolpordioa enwncnf knrg gftorvgowoo. Corknsnrhnf coftuh
portnfynnffyn, lnhn wnwnfjnrn knpnt kgcn`g lofenkg 5
>) Pnwnfjnrn kof`nf portnfynnf corstruhtur ntnu tortutup.
Nknina suntu wnwnfjnrn kg lnfn portnfynnf-portnfynnf
knf holuf`hgfnf enwncnf-enwncnffyn toina kgsokgnhnf
dioa gftorvgowor, soagf``n enwncnf tgf```ni kghoidlpdh-
hnf hopnkn holuf`hgfnf enwncnf ynf` toina torsokgn.
3)Pnwnfjnrn kof`nf portnfynnf tnh corstruhtur ntnu
torcuhn ntnu cocns.
Nknina suntu wnwnfjnrn kg lnfn portnfynnf-portnfynnf
ynf` kgsokgnhnf lolcorg hococnsnf gftorvgowoo uftuh
lofenwncfyn ntnu lof`oluhnhnf pofknpntfyn.
:)Pnwnfjnrn kof`nf portnfynnf coftuh hdlcgfnsg.
Nknina suntu wnwnfjnrn kg lnfn portnfynnf-portnfynnf
ynf` kgsokgnhnf lorupnhnf hdlcgfnsg nftnrn portnfynnf
corstruhtur kof`nf portnfynnf tnh corstruhtur.
J. Jgrg-Jgrg Gfstrulof ynf` cngh
Zocuna gfstrulof ynf` knpnt kghntnhnf cngh socn`ng nint
pof`uhur anrus lolofuag porsynrntnf tos, ynhfg lolgighg 5
>.Rnigkgtns
Rnigkgtns lorupnhnf socuna hntn cofkn, soknf`hnf hntn
vnigk lorupnhnf hntn sgbnt. Zocuna kntn ntnu gfbdrlnsg
knpnt kghntnhnf vnigk npncgin sosung kof`nf honknnf
sofyntnnfyn ntnu sosuf``uafyn. Zocuna tos kgsocut vnigk
npncgin tos gtu knpnt topnt lof`uhur npn ynf` aofknh
kguhur.
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>7
3.Soigncgigtns
Hntn roigncgigtns kninl cnansn Gfkdfosgn kgnlcgi knrg hntn
roigncgigty kninl cnansn Gf``rgs, cornsni knrg hntn roigncio
ynf` nrtgfyn knpnt kgporjnyn. Zocuna tos kghntnhnf roigncoi
npncgin lolcorghnf ansgi ynf` totnp npncgin kg toshnf
corhnig-hnig.
:.Dceohtgvgtns
Dceohtgb cornrtg tgknh nknfyn ufsur prgcnkg ynf`
lolpof`nruagfyn. Zocuna tos kghntnhnf lolgighg
dceohtgvgtns npncgin kninl loinhsnfnhnf tos tgknh nkn
bnhtdr suceohtgb ynf` lolpof`nruag.
;.]rnhtghncgigtns (]rnjtgjncgigty)
Zocuna tos kghntnhnf lolgighg prnhtghncgigtns ynf` tgf``g
npncgin tos torsocut corsgbnt prnhtgs, lukna pof`nklgfgs-
trnsgnffyn. [os ynf` prnhtgs nknina tos ynf` lukna
kginhsnfnhnf, lukna polorghsnnffyn knf kgiof`hnpg
kof`nf potufeuh-potufeuh ynf` eoins soagf``n knpnt
kgcorghnf/kgnwnig dioa drnf` ingf.
?.Ohdfdlgs
Wnf` kglnhsuk kof`nf ohdfdlgs kg sgfg nknina cnawn
poinhsnfnnf tos tgknh lolcutuahnf df`hds/cgnyn ynf`
lnani, tofn`n ynf` cnfynh knf wnhtu ynf` inln.
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3=
CNC GGG
RNIGKG[NZ KNF SOIGNCGIG[NZ GFZ[S_LOF
N.Rnigkgtns
Kninl hoagkupnf soanrg-anrg, lnfusgn sofnftgnsn
kganknphnf pnkn lnsnina honhurntnf socuna gfbdrlnsg.
Gfbdrlnsg ynf` kgtorgln lnfusgn sotgnp anrg snf`nt cnfynh
kof`nf sulcor ynf` solnhgf corn`nl. Hdrnf knf toiovgsg
nknina kun sulcor gfbdrlnsg utnln snnt gfg. Kof`nf solnhgf
cnfynhfyn sulcor-sulcor gfbdrlnsg ynf` sofnftgnsn
corholcnf`, lnhn lufjui socuna portnfynnf lofknsnr
toftnf` soenualnfn gfbdrlnsg ynf` kgpordioa torsocut knpnt
kgporjnyn4
Kninl pofoigtgnf-pofoigtgnf, honhurntnf gfbdrlnsg ynf`
kgpordioa snf`nt lolpof`nruag hoputusnf ynf` nhnf kgnlcgi.
Znynf`fyn, nhurnsg gfbdrlnsg kninl pofoigtgnf-pofoigtgnf sdsgni
torsocut tgknh lukna kgpordioa kgsocnchnf suigtfyn
lofknpnthnf dpornsgdfnigsnsg hdfsop lof`ofng vnrgncoi ynf`
aofknh kguhur. _ftuh lof`uf`hnp nspoh-nspoh ynf` aofknh
kgtoigtg, lnhn kgporiuhnf nint uhur ynf` cngh knf corhunigtns.
Nint uhur torsocut knpnt corupn shnin ntnu tos. Zocuna tos ynf`
cngh socn`nglnfn kgsnlpnghnf dioa Zyngbukkgf Nzwnr (3==2 5 3)
anrus lolgighg cocornpn hrgtorgn nftnrn ingf vnigk, roigncio,
stnfknr, ohdfdlgs knf prnhtgs.
Kninl Ztnfknrks bdr Okujntgdfni nfk ]syjadid`gjni[ostgf`
vnigkgtns nknina "... tao ko`roo td wagja ovgkofjo nfk taodry
suppdrt tao gftorprotntgdf db tost sjdros oftngiok cy prdpdsok usos
db tosts " (>77757). Zocuna tos kghntnhnf vnigk eghn gn lolnf`
lof`uhur npn ynf` soanrusfyn kguhur (Niiof & Wof, >7075 7?).
Kninl cnansn ynf` anlpgr snln Keolnrg Lnrknpg (3==;53?)
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3>
lofyntnhnf cnawn vnigkgtns nknina uhurnf socornpn jorlnt
suntu tos loinhuhnf buf`sg uhurfyn. Lofurut Fgthd &
Crddhanrt (3==05 :1) hovnigknf socuna nint uhur tor`nftuf`
pnkn cn`nglnfn ansgi tos torsocut kggftorprotnsghnf knf
kg`ufnhnf. Kninl pnfknf`nf Znluoi Lossgjh (>7175 >:)
vnigkgtns lorupnhnf pofgingnf lofyoiurua kglnfn cuhtg
olpgrgs knf id`ghn todrg lofkuhuf` pof`nlcginf hoputusnf
sortn tgfknhnf corknsnrhnf shdr tos ntnu ldkoi-ldkoi pofgingnf
ynf` ingf. Gfstrulof ovniunsg kgporsynrnthnf vnigk n`nr ansgi
ynf` kgpordioa knrg ho gntnf ovniunsg vnigk.
>.Lnjnl-Lnjnl Rnigkgtns
Kg kninl cuhu Ofjyjidpokgn db Okujntgdfni Ovniuntgdf
ynf` kgtuigs dioa Zjnrvgn C. Nfkorsdf knf hnwnf-hnwnf
kgsocuthnf N tost gs vnigk gb gt lonsuros want gt purpdso td
lonsuro, socuna tos kghntnhnf vnigk npncgin tos torsocut
lof`uhur npn ynf` aofknh kguhur. Kninl cnansn Gfkdfosgn
vn8gk kgsocut kof`nf snaga. Zojnrn `nrgs cosnr vnigkgtns
knpnt kgcoknhnf lofenkg 5
n)Rnigkgtns Id`gs
Rnigkgtns id`gs lof`nfkuf` hntn id`gs cornsni knrg hntn
id`ghn ynf` cornrtg pofninrnf. Rnigkgtns id`gs uftuh socuna
gfstrulof ovniunsg lofufeuh pnkn hdfkgsg cn`g socuna
gfstrulof ynf` lolofuag porsynrntnf vnigk corknsnrhnf
ansgi pofninrnf. Rnigkgtns id`gs knpnt kgjnpng npncgin
gfstrulof kgsusuf lof`ghutg hotoftunf ynf` nkn. Rnigkgtns
id`gs tgknh poriu kgueg hdfkgsgfyn totnpg inf`suf` kgpordioa
sosukna gfstrulof torsocut kgsusuf. Nkn kun lnjnl
vnigkgtns id`gs, yngtu vnigkgtns gsg knf vnigkgtns hdfstrnh.
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c)Rnigkgtns Olpgrgs
Rnigkgtns olpgrgs lof`nfkuf` hntn olpgrgs ynf` cornrtg
pof`ninlnf. Zocuna gfstrulof knpnt kghntnhnf lolgihg
vnigkgtns olpgrgs npncgin sukna kgueg knrg pof`ninlnf.
Rnigkgtns olpgrgs kgcn`g lofenkg kun lnjnl yngtu vnigkgtns
nkn sohnrnf` knf vnigkgtns prokgjtgvo.
Knrg pof`oidlpdhhnf torsocut lnhn sojnrn hosoiuruanf hgtn
lof`ofni olpnt lnjnl vnigkgtns 5
n)Rnigkgtns gsg (jdftoft vnigkgty)
Zocuna tos kghntnhnf lolgighg vnigkgtns gsg npncgin lof`uhur
tueunf hausus tortoftu ynf` soenenr kof`nf lntorg ntnu gsg
poinenrnf ynf` kgcorghnf.
c)Rnigkgtns hdfstruhsg (jdfstrujt vnigkgty)
Zocuna tos kghntnhnf lolgighg vnigkgtns hdfstruhsg npncgin
cutgr-cutgr sdni ynf` lolcnf`uf tos torsocut lof`uhur
sotgnp nspoh corbghgr soportg ynf` kgsocuthnf kninl tueunf
polcoinenrnf.
j)Rnigkgtns nkn sohnrnf` (jdfjurroft vnigkgty)
Zocuna tos kghntnhnf lolgighg vnigkgtns olpgrgs eghn ansgifyn
sosung kof`nf pof`ninlnf. ]of`ninlnf soiniu lof`ofng ani
ynf` toina inlpnu soagf``n kntn pof`ninlnf torsocut
sohnrnf` sukna nkn.
k)Rnigkgtns prokghsg (prokgjtgvo vnigkgty)
Zocuna tos kghntnhnf lolgighg vnigkgtns prokghsg ntnu
vnigkgtns rnlninf npncgin lolpufyng holnlpunf uftuh
lornlnihnf npn ynf` nhnf torenkg pnkn lnsn ynf` nhnf
kntnf`.
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3:
3. Jnrn Lof`agtuf` Rnigkgtns Gfstrulof
Zocuna gfstrulof kghntnhnf lolgighg vnigkgtns eghn
ansgifyn sosung kof`nf hrgtorgul, kninl nrtg lolgighg
hosoenenrnf nftnrn ansgi tos torsocut kof`nf hrgtorgul. [ohfgh
ynf` kg`ufnhnf uftuh lof`otnaug hosoenenrnf nknina tohfgh
hdroinsg ]rdkujt Ldloftynf` kginhuhnf dioa ]onrsdf.
Sulus hdroinsgprdkujt ldloftnkn kun lnjnl, yngtu 5
n.Hdroinsgprdkujt ldloftkof`nf sglpnf`nf cnhu
c.Hdroinsgprdkujt ldloftkof`nf nf`hn hnsnr
Sulus hdroinsgprdkujt ldloftkof`nf sglpnf`nf cnhu 5
Kglnfn 5
rxy < Hdobgsgof hdroinsg nftnrn vnrgncoi Q knf vnrgncoi W, kun
vnrgncoi ynf` kghdroinsghnf (x < Q - knf y < W - )
< Eulina porhnignf x kof`nf y
x3 < Hunkrnt knrg x
y3 < Hunkrnt knrg y
Jdftda poragtuf`nf 5
Lgsnifyn nhnf lof`agtuf` vnigkgtns tos prostnsg coinenr cgdid`g.
Zocn`ng hrgtorgul kgnlcgi rntn-rntn uinf`nf ynf` nhnf kgjnrg
vnigkgtnsfyn kgcorg hdko Q knf rntn-rntn fging anrgnf kgcorg
hdko W. Holukgnf kgcunt tncoi porsgnpnf socn`ng corghut5
))((33
yx
xy
xyr
Q W
xy
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3;
[ncoi ]orsgnpnf uftuh Lofjnrg Rnigkgtns [os ]rostnsg CoinenrCgdid`g
Fd. Fnln Q W x y x3
y3
xy> Fnkgn 2,? 2,: =,== -=,=1 =,== =,=> =,=
3 Zusg 0 2,1 =,?= =,;3 =,3? =,>2 =,3
: Jojop 0,? 0,3 >,== =,13 >,== =,2; =,1
; Ohd 0 2,1 =,?= =,;3 =,3? =,>2 =,3
? Kdkgh 2 0 -=,?= =,23 =,3? =,:2 -=,:
2 Ofkg 2 2,3 -=,?= -=,>1 =,3? =,=; =,>
0 Znrgb ?,? ?,> ->,== ->,31 >,== >,27 >,:
1 N`us 2,? 2 =,== -=,:1 =,== =,>2 =,=
7 Sgfn 0 2,? =,?= =,>3 =,3? =,=> =,=2
>= [gfn 2 ?,7 -=,?= -=,;1 =,3? =,:2 =,3;=
Eulina 2? 2:,1 :,? :,?7 3,2=
=
2?
F
Q
W :1,2>=
2:,1
F
W
))((33
yx
xy
xyr
?2?,>3
2,3
)?7,:)(?,:(
2,3xyr
?;?,:
2,3
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3?
Sulus Hdroinsgprdkujt ldloftkof`nf nf`hn hnsnr 5
Kof`nf lof``ufnhnf kntn ansgi tos prostnsg coinenr cgdid`g kg
ntns, hgtn knpnt lof`agtuf` kof`nf rulus hdroinsg prdkujt
ldloft kof`nf nf`hn hnsnr, ynf` tncoi porsgnpnffyn socn`ng
corghut 5
Fd. Fnln Q W Q3 W3 QW> Fnkgn 2,? 2,: ;3,3? :7,27 ;=,7?
3 Zusg 0 2,1 ;7 ;2,3; ;0,2
: Jojop 0,? 0,3 ?2,3? ?>,1; ?;
; Ohd 0 2,1 ;7 ;2,3; ;0,2
? Kdkgh 2 0 :2 ;7 ;3
2 Ofkg 2 2,3 :2 :1,;; :0,3
0 Znrgb ?,? ?,> :=,3? 32,=> 31,=?
1 N`us 2,? 2 ;3,3? :2 :7
7 Sgfn 0 2,? ;7 ;3,3? ;?,?
>= [gfn 2 ?,7 :2 :;,1> :?,;
Eulina 2? 2:,1 ;32 ;>=,?3 ;>0,:
Kglnsuhhnf ho kninl rulus 5
3333 )()())((
WWFQQF
WQQWFrQW
3333 )()())((
WWFQQF
WQQWFrQW
;=0=,;;;>=,?3x>=;33?;32x>=2:,1)x(2?;>0,:x>=
QWr
;=0=,;;;>=?,3;33?;32=
;>;0;>0:
:;,02x:?
32
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32
< =,0;?
Eghn kgcnfkgf`hnf kof`nf vnigkgtns ynf` kgagtuf` kof`nf
rulus sglpnf`nf cnhu torknpnt porcoknnf, fnluf gfg wnenr
hnrofn nknfyn polcuintnf nf`hn kninl poragtuf`nf,
porcoknnf gfg snf`nt hojgi soagf``n knpnt kgncnghnf.
Hdobgsgof hdroinsg soiniu pnkn nf`hn hgsnrnf nftnrn ->,==
snlpng +>,==. Hdobdsgof fo`ntgb lofufeuhhnf aucuf`nf
hocnighnf soknf`hnf hdobgsgof pdsgtgb lofueuhhnf aucuf`nf
hosoenenrnf ntnu sonrna. Gftorprotnsg lof`ofng cosnrfyn
hdobgsgof hdroinsg nknina socn`ng corghut 5
Hdobgsgof hdroinsg =,1==>,== < snf`nt tgf``g
Hdobgsgof hdroinsg =,2===,1== < tgf``g
Hdobgsgof hdroinsg =,;===,2== < juhup
Hdobgsgof hdroinsg =,3===,;== < rofkna
Hdobgsgof hdroinsg =,====,3== < snf`nt rofkna
]ofnbsgrnf anr`n hdobgsgof hdroinsg nkn kun jnrn yngtu 5
>.Kof`nf loigant anr`n hdobgsgof hdroinsg ( r ) knf kggftorpro-
tnsghnf, lgsnifyn hdroinsg tgf``g, juhup knf socn`ngfyn.
3.Kof`nf kghdfsuitnsghnf kof`nf tncoi r prdkujt ldloft
soagf``n knpnt kghotnaug sg`fgbghnf tgknhfyn ntnu vnigktgknhfyn hdroinsg torsocut. Eghn anr`n r agtuf` 6 r tncoi,
lnhn sg`fgbghnf ntnu vnigk. Eghn r agtuf` 9 r tncoi, lnhn tgknh
sg`fgbghnf ntnu tgknh vnigk.
1070,:;
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30
:.Jnrn Lof`agtuf` Rnigkgtns Cutgr Zdni ntnu Rnigkgtns Gtol
Npn ynf` sukna kgcgjnrnhnf kg ntns nknina vnigkgtns sdni
sojnrn hosoiuruanf tos. Kg snlpgf` gtu poriu eu`n lofjnrg
vnigkgtns gtol ntnu vnigkgtns uftuh lnsgf`-lnsgf` cutgr sdni.
Zocuna gtol kghntnhnf vnigk npncgin lolpufyng kuhuf`nf
ynf` cosnr toranknp shdr tdtni. Zhdr gtol lofyocnchnf tgf``g
rofknafyn shdr tdtni.
_ftuh sdni-sdni coftuh dceohtgb shdr uftuh gtol cgnsn
kgcorghnf kof`nf nf`hn > (gtol ynf` kgenwnc cofnr) knf nf`hn
= (gtol ynf` kgenwnc snina), soknf`hnf shdr tdtni lorupnhnf
eulina knrg shdr uftuh solun gtol ynf` lolcnf`uf sdni
torsocut.
Jdftda poragtuf`nf5
[ncoi Nfnigsgs Gtol uftuh ]oragtuf`nf Rnigkgtns Gtol
Fd. FnlnCutgr Zdni/Gtol Zhdr
[dtni> 3 : ; ? 2 0 1 7 >=
> Fnkgn > = > = > > > > > > 13 Zusg = = > = > = = > > > ?
: Jojop = > = = = > = > = > ;
; Ohd > > = = > > = = > = ?
? Kdkgh > > > > > > = = = = 2
2 Ofkg > = > = > = > = = = ;
0 Znrgb > > > > > > > = = = 0
1 N`us = > = > > > > > > > 1
Lgsnifyn nhnf kgagtuf` vnigkgtns gtol fdldr 2, lnhn shdr gtol
torsocut kgsocut vnrgncoi Q knf shdr tdtni kgsocut W. Zotoina
kginhuhnf poragtuf`nf lnhn kgpordioa kntn socn`ng corghut 5
Q < 2
W < ;2
QW < :0
Q3 < 2
W3 < 311
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31
Holukgnf kglnsuhhnf ho kninl rulus hdroinsg prdkujt
ldloftnf`hn hnsnr 5
< =,;3>
Knrg poragtuf`nf torsocut kg ntns lnhn kgpordioa vnigkgtns gtol
fdldr 2 nknina =,;3>. _ftuh lof`nlcgi hoputusnf nf`hn
torsocut kghdfsuitnsghnf kof`nf tncoi r (prdkujt ldloft). Knrg
tncoi r pnkn kb 1 kgpordioa nf`hn =,0=0. Dioa hnrofn r agtuf` 9 r tncoi< =,0=0, lnhn gtol fdldr 2 tgknh vnigk.
C.Soigncgigtns
Soigncgigtns lorupnhnf poforeolnanf knrg hntn roigncgigty
ynf` lolpufyng nsni hntn roiy knf ncgigty. ]of`uhurnf ynf`
lolgighg roigncgigtns tgf``g kgsocut socn`ng pof`uhurnf ynf`
roigncoi. Soigncgigtns lolpufyng corcn`ng lnhfn ingf soportg
hotorporjnynnf, hotornfkninf, honeo`nf, hostncginf, hdfsgstofsg
knf socn`ngfyn, fnluf gko pdhdh ynf` torhnfkuf` kninl
hdfsop roigncgigtns nknina soenua lnfn ansgi suntu pof`uhurnf
3333 )()())((
WWFQQF
WQQWFrQW
33QW
;2311x122x1
;2)x(2:0x1r
3>>23:=;:2;1
302372
>11x>3
3=
;70,;0
3=
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37
knpnt kgporjnyn. Zoknf`hnf suntu gfstrulof kghntnhnf roigncoi
(nfkni) eghn enwncnf sosodrnf` toranknp portnfynnf nknina
hdfsgstof ntnu stncgi knrg wnhtu ho wnhtu.
_eg roigncgigtns kg`ufnhnf uftuh lof`otnaug hdfsgstofsg
nint uhur, npnhna nint pof`uhur ynf` kg`ufnhnf knpnt
kgnfknihnf knf totnp hdfsgstof eghn pof`uhurnf torsocut
kguinf`.
>.Jnrn Lof`agtuf` Soigncgigtns Gfstrulof
Sulus ynf` kg`ufnhnf uftuh lofjnrg roigncgigtns knf
cnfynh kg`ufnhnf drnf` nkn kun rulus ynf` kgholuhnhnf
dioa Hukor knf Sgjanrksdf, yngtu H-S. 3= knf H-S. 3>.
Jdftda poragtuf`nf 5
n.]of``ufnnf rulus H-S.3=
Sulus
kglnfn 5 r>> < roigncgigtns tos sojnrn hosoiuruanf
p < prdpdrsg suceoh ynf` lofenwnc gtol kof`nf
cofnr
q < prdpdrsg suceoh ynf` lofenwnc gtol kof`nf
snina (q < >p )
pq < eulina porhnignf nftnrn p knf q
F < cnfynhfyn gtol
Z < stnfknr kovgnsg (stnfknr kovgnsg nknia nhnr
vnrgnfs)
3
3
>>Z
pqZ
>f
fr
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:=
[ncoi ]oragtuf`nf Lofjnrg Soigncgigtns [os kof`nf H-S.3=
Fd.Fnln
Sosp.
Fdldr gtol Zhdr
tdtni> 3 : ; ? 2 0> Fnkgn > = > > > > = ?
3 Zusg = > > = > > > ?
: Jojop = = = = > = > 3
; Ohd = > > > > > > 2
? Kdkgh > = = = > = = 3
2 Ofkg = > > > > = = ;
0 Znrgb = = = > > > = :
1 N`us = > = > > = = :
7 Sgfn = > = > > = = :
>= [gfn = = = > > = = 3fp 3 ? ; 0 >= ; : :?
p =,3 =,? =,; =,0 > =,; =,:
q =,1 =,? =,2 =,: = =,2 =,0
pq =,>2 =,3? =,3; =,3> = =,3; =,3> >,:>
Z >,;::
Knrg tncoi kg ntns holukgnf kglnsuhhnf ho kninl rulus
H-S.3=
< =,;33kgcuinthnf=,;33
c.]of``ufnnf rulus H-S.3>
3
3
>>Z
pqZ
>f
fr
3
3
>,;::
>,:>>,;::
>0
0
3,=?:
>,:>-3,=?:x>,>0
3,=?:
=,0;:x>,>0
=,:2>x>,>0
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:>
3
t
3
c>>
>
>h
hr
Sulus
Kglnfn 5 L < Lonf ntnu rntn-rntn shdr tdtni
Lnhn 5
< >,>0 x =,>;7
< =,>0;:: kgcuinthnf =,>0;
j.]of``ufnnf rulus Nipan Jrdfcnjas
Sulus
Hotornf`nf 5
r>> 5 Soigncgigtns gfstrulof
h 5 Cnfynhfyn gtol portnfynnf
3c 5 Eulina vnrgnf cutgr
3t 5 Rnrgnf tdtni
[ncoi ]oragtuf`nf Lofjnrg Soigncgigtns [os kof`nf Nipan Jrdfcnjas
3t>>
fZ
)L(fL>>f
fr
3,=?2x0
):,?(0:,?>
>0
0r>>
>;,:73:,?x:,?>x>,>0
1?>,=>x>,>0
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:3
3
t
3
c>>
>
>h
hr
30,??2
1,;20>
>>=
>=r>>
:=0:,=>7
>=
=,2730x>,>>
Fd. FnlnZhdr gtol Zhdr
[dtni
HunkrntZhdr
[dtni> 3 : ; ? 2 0 1 7 >=
> N
3 : : : ; ; : : ; 3 :> 72>3 C
: : : : : : : : : : := 7==
: J: : : ; 3 : 3 3 3 3 32 202
; K: ? : : : : : 3 3 3 37 1;>
? O: : ; ; ; ; : : 3 3 :3 >=3;
2 B: ; : ; : 3 : : : : :> 72>
0 @3 ; ; ? ? ; ; : ? 3 :1 >;;;
1 A; ? : ; ; ? ? ? ; ; ;: >1;7
7 G3 : : : 3 > ; ; 3 3 32 202
>= E3 : : ? ? > ; ; ? 3 :; >>?2
Eulina 30 :2 :3 :1 :? := :; :3 :3 3; :3= >=;11Eulinahunkrnt
01; >;;; >33? >02; >2== >372 >21> >2== >21> >>?2 3
t < 30,??2
=,;2 =,0> =,>1 =,23 >,>0 >,01 =,0> =,1; >,?> =,;7 1,;20
Knrg tncoi torsocut holukgnf kglnsuhhnf ho kninl rulus
Nipan Jrdfcnjas5
< =,02
CNC GR
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::
LOF@NFNIGZGZ ANZGI [OZ
N.
Lofging [os ynf` Kgcunt Zofkgrg
[gknh nkn usnan ynf` iocga cngh soingf uftuh soiniu
lofgf`hnthnf lutu tos ynf` kgsusuffyn. Fnluf ani gfg tgknh
kginhsnfnhnf hnrofn hojofkoruf`nf sosodrnf` uftuh
cornf``npnf cnawn ansgi hnrynfyn nknina ynf` torcngh ntnu
sotgknh-tgknhfyn sukna juhup cngh.
@uru ynf` sukna cnfynh corpof`ninlnf lof`nenr knf
lofyusuf sdni-sdni tos, eu`n lnsga suhnr lofynknrg cnawn
tosfyn lnsga coiul solpurfn. Dioa hnrofn gtu, jnrn ynf`
pnigf` cngh nknina sojnrn eueur loigant ansgi ynf` kgpordioa dioa
sgswn.
Zojnrn todrgtgs, sgswn kninl sntu hoins lorupnhnf pdpuinsg
ntnu hoidlpdh ynf` honknnffyn aotord`of. Kof`nf kolghgnf,
lnhn npncgin kghofng socuna tos nhnf torjorlgf ansgifyn kninl
suntu hurvn fdrlni. Zocn`gnf cosnr sgswnfyn kg knorna soknf`,
socn`gnf hojgi cornkn kg socoina ohdr hgrg knf socn`gnf ynf`
ingf cornkn kg ohdr hnfnf hurvn.
Npncgin honknnf sotoina ansgi tos kgnfnigsgs tgknh soportg
ynf` kganrnphnf kninl hurvn fdrlni, lnhn toftu nkn npn-
npn kof`nf sdni tosfyn. Npncgin anlpgr soiurua sgswnfyn
lolpordioa shdr eoioh, cornrtg cnawn tos ynf` kgsusuf
luf`hgf toriniu suhnr, knf socnighfyn.
Nkn ; jnrn uftuh lofging tos, yngtu 5
>.Lofoigtg sojnrn eueur sdni-sdni ynf` sukna kgsusuf 5
- Npnhna cnfynhfyn sdni uftuh tgnp tdpgh sukna soglcnf`4
- Npnhna solun sdni lofnfynhnf cnanf ynf` toina
kgnenrhnf4
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:;
- Npnhna sdni ynf` hgtn susuf tgknh lorupnhnf portnfynnf
ynf` lolcgf`uf`hnf (knpnt kgsninatnbsgrhnf)4
- Npnhna sdni gtu tgknh suhnr uftuh kglof`ortg4
- Npnhna sdni gtu knpnt kghorenhnf dioa socn`gnf cosnr
sgswn4
3.Lof`nknhnf nfnigsgs sdni (gtol nfniysgs)
Nfnigsgs sdni nknina suntu prdsokur ynf` sgstolntgs, ynf`
nhnf lolcorghnf gfbdrlnsg-gfbdrlnsg ynf` snf`nt hausus
toranknp cutgr tos ynf` hgtn susuf.
:.Lof`nknhnf jaojhgf` vnigkgtns
;.Lof`nknhnf jaojhgf` roigncgigtns
Znina sntu gfkghntdr uftuh tos ynf` lolpufyng roigncgigtns
ynf` tgf``g nknina cnawn hocnfynhhnf knrg sdni-sdni tos gtu
lolpufyng knyn polcokn ynf` tgf``g.
C.Nfnigsgs Cutgr Zdni (Gtol Nfniysgs)
Hnpnf socuna sdni kghntnhnf cngh 4 uftuh lolcorghnf
enwncnf toranknp portnfynnf gfg, poriu kgtornf`hnf tg`n
lnsnina ynf` coraucuf`nf kof`nf nfnigsgs sdni, yngtu tnrnb
hosuhnrnf, knyn polcokn knf pdin enwncnf sdni.
>.[nrnb Hosuhnrnf
Zdni ynf` cngh nknina sdni ynf` tgknh toriniu lukna ntnu
tgknh toriniu suhnr. Cginf`nf ynf` lofufeuhhnf suhnr knf
luknafyn suntu sdni kgsocut gfkohs hosuhnrnf (kgbbgjuity
gfkox). Cosnrfyn gfkohs hosuhnrnf nftnrn =,== snlpng >,=.
Gfkohs hosuhnrnf gfg lofufeuhhnf tnrnb hosuhnrnf sdni. Zdni
kof`nf gfkohs hosuhnrnf =,= lofufeuhhnf cnawn sdni gtu
toriniu suhnr, socnighfyn gfkohs >,= lofufeuhhnf cnawn
sdnifyn toriniu lukna.
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:?
=,= >,=
suhnr lukna
Kg kninl gstgina ovniunsg, gfkohs hosuhnrnf gfg kgcorg sglcdi ]
sgf`hntnf knrg ]rdpdrsg. Sulus lofjnrg ] nknina 5
Lofurut hotoftunf ynf` sorgf` kgghutg, gfkohs hosuhnrnf sorgf`
kghinsgbghnsghnf socn`ng corghut 5
-Zdni kof`nf ] < =,== snlpng =,:= nknina sdni suhnr
-Zdni kof`nf ] < =,:= snlpng =,0= nknina sdni soknf`
-Zdni kof`nf ] < =,0> snlpng >,== nknina sdni lukna
Pninupuf kolghgnf nkn ynf` corpofknpnt cnawn sdni-sdni
ynf` kgnf``np cngh, yngtu sdni-sdni soknf` yngtu sdni-sdni ynf`
lolpufyng gfkohs hosuhnrnf =,:= =,0=. ]oriu kghotnaug
cnawn sdni-sdni ynf` toriniu lukna ntnu toriniu suhnr tgknh
cornrtg tgknh cdioa kg`ufnhnf. Ang gfg tor`nftuf` ho`ufnnffyn.
EZ
C]
kglnfn 5
] < Gfkohs hosuhnrnf
C < cnfynhfyn sgswn ynf` lofenwnc
sdni gtu kof`nf cofnr
EZ < eulina soiurua sgswn posortn tos
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:2
Jdftda poragtuf`nf 5
[ncoi Nfnigsgs Gtol uftuh [gf`hnt Hosuhnrnf
Fd.Fdldr Zdni Zhdr
tdtni> 3 : ; ? 2 0
> > = > > > > = ?
3 = > > = > > > ?
: = = = = > = > 3
; = > > > > > > 2
? > = = = > = = 3
2 = > > > > = = ;
0 = = = > > > = :
1 = > = > > = = :7 = > = > > = = :
>= = = = > > = = 3
C 3 ? ; 0 >= ; :
] =,3= =,?= =,;= =,0= >,== =,;= =,:=
Hrgtorgn suhnr soknf` soknf` soknf` lukna soknf` suhnr
3.Knyn ]olcokn
Knyn polcokn sdni nknina holnlpunf sdni uftuh
lolcoknhnf nftnrn sgswn ynf` pnfkng (holnlpunf tgf``g)kof`nf sgswn ynf` cdkda (holnlpunf rofkna). Nf`hn ynf`
lofufeuhhnf cosnrfyn knyn polcokn kgsocut gfkohs
kgshrglgfnsg, kgsgf`hnt K. Gfkohs kgshrglgfnsg corhgsnr nftnrn
=,== snlpng >,==. Coknfyn kof`nf gfkohs hosuhnrnf nknina
hning gfkohs hosuhnrnf tgknh lof`ofni tnfkn fo`ntgb (-), tnpg
pnkn gfkohs kgshrglgfnsg nkn tnfkn fo`ntgb. [nfkn fo`ntgb
kg`ufnhnf eghn sosuntu sdni torcnigh lofufeuhhnf hunigtnstosto. Wngtu nfnh pnfkng kgsocut cdkda knf nfnh cdkda kgsocut
pnfkng. Kof`nf kolghgnf nkn tg`n tgtgh pnkn knyn polcokn,
yngtu 5
->,== =,== >,==
K < fo`ntgb K < Sofkna K < [gf``g
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:0
_ftuh suntu sdni ynf` knpnt kgenwnc cofnr dioa sgswn
pnfkng lnupuf sgswn cdkda, lnhn sdni gtu tgknh cngh hnrofn
tgknh lolpufyng knyn polcokn. Kolghgnf puin eghn solun
sgswn cngh ynf` pnfkng lnupuf ynf` cdkda tgknh knpnt
lofenwnc kof`nf cofnr, lnhn sdni torsocut tgknh cngh eu`n,
hnrofn tgknh lolpufyng knyn polcokn. Zdni ynf` cngh nknina
sdni ynf` knpnt kgenwnc cofnr dioa sgswn-sgswn ynf` pnfkng
snen.
Zoiurua pof`ghut tos kghoidlpdhhnf lofenkg 3 hoidlpdh,
yngtu hoidlpdh pnfkng ntnu hoidlpdh ntns (uppor `rdup) knf
hoidlpdh cdkda ntnu hoidlpdh cnwna (idwor `rdup).
Eghn soiurua hoidlpdh ntns knpnt lofenwnc sdni torsocut
kof`nf cofnr, soknf` soiurua hoidlpdh cnwna lofenwnc
snina, lnhn sdni torsocut lolpufyng K pnigf` cosnr, yngtu >,==
Zocnighfyn eghn solun hoidlpdh ntns lofenwnc snina, totnpg
solun hoidlpdh cnwna lofenwnc cofnr, lnhn fging K < ->,==.
[otnpg eghn sgswn hoidlpdh ntns knf sgswn hoidlpdh cnwna
snln-snln lofenwnc cofnr ntnu snln-snln lofenwnc snina,
lnhn sdni torsocut lolpufyng fging K < =,==, hnrofn tgknh
lolpufyng polcokn snln sohnig.
Jnrn lofoftuhnf knyn polcokn
_ftuh gfg poriu kgcoknhnf nftnrn hoidlpdh hojgi (hurnf` knrg
>==) knf hoidlpdh cosnr (>== drnf` ho ntns).
n._ftuh hoidlpdh hojgi
Zoiurua hoidlpdh tos kgcn`g kun snln cosnr, ?=% hoidlpdh
ntns knf ?=% hoidlpdh cnwna.
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:1
Jdftda 5
Zgswn Zhdr
N 7C 1
J 0
K 0
O 2
B ?
@ ?
A ;
G ;
E :
Zoiurua pof`ghut tos kguruthnf luing knrg shdr tortgf``g
snlpng torofkna, iniu kgcn`g 3.
c._ftuh hoidlpdh cosnr
_ftuh hoidlpdh cosnr cgnsnfyn anfyn kgnlcgi hokun
hutucfyn snen, yngtu 30% shdr torntns socn`ng hoidlpdh ntns
(EN) knf 30% shdr torcnwna socn`ng hoidlpdh cnwna (EC)
EN < Eulina hoidlpdh ntns
EC < Eulina hoidlpdh cnwna
Jdftda 5
Zhdr
7
7
1
1
1
0
0
.
.
.
.
.
Hoidlpdh ntns ( EN)
Hoidlpdh cnwna ( EC)
30% socn`ng EN
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:7
.
.
.
.
??
;
;
:
:
3
Sulus lofjnrg KSulus uftuh lofoftuhnf gfkohs kgshrglgfnsg nknina 5
Kglnfn 5
E < Eulina posortn tos
EN < Cnfynhfyn posortn hoidlpdh ntns
EC < Cnfynhfyn posortn hoidlpdh cnwna
CN < Cnfynhfyn posortn hoidlpdh ntns ynf` lofenwnc
kof`nf cofnr
CC < Cnfynhfyn posortn hoidlpdh cnwna ynf` lofenwnc
cofnr
]N < < ]rdpdrsg posortn hoidlpdh ntns ynf` lofenwnc
cofnr
]C < < ]rdpdrsg posortn hoidlpdh cnwna ynf` lofen-
wnc cofnr
30% socn`ng EC
CN
C
C
N
N ]]E
C
E
CK
N
N
E
C
C
C
E
C
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;=
Jdftda poragtuf`nf 5
[ncoi Nfnigsgs Gtol uftuh Knyn ]olcokn
Fd. Zgswn HoidlpdhFdldr sdni Zhdr
tdtni> 3 : ; ? 2 0 1 7 >=
> N C > = > = = = > > > = ?
3 C N = > > > > > = = > > 0
: J N > = > = > > > > > > 1
; K C = = > = = > > > > = ?
? O N > > > > > > > > > > >=
2 B C > > = = = > > > > = 2
0 @ C = > = = = > > > > > 2
1 A C = > > = = > = > > > 27 G N > > > = = > > > > > 1
>= E N > > > > = = > = > > 0
>> H N > > > = = > > > > = 0
>3 I C = > = > > = = > > = ?
>: L C = > = = = = = > > = :
>; F N = = > = > > > > > > 0
>? D N > > = > > > > > > > 7
>2 ] C = > = = = > = = > = :
>0 ^ N > > = > = > > > > > 1
>1 S N > > > > = > > > > = 1>7 Z C > = > = = > > > > = 2
3= [ C = > = > = > > > > = 2
CN 1 1 1 2 ? 7 7 1 >= 1
]N =,1 =,1 =,1 =,2 =,? =,7 =,7 =,1 > =,1
CC : 0 ; 3 > 0 2 7 >= 3
]C =,: =,0 =,; =,3 =,> =,0 =,2 =,7 > =,3
K =,?= =,>= =,;= =,;= =,;= =,3= =,:= -=,>= =,== =,2=
Hinsgbghnsg knyn polcokn 5
K < =,===,3= < eoioh (pddr)
K < =,3==,;= < juhup (sntgsbnjtdry)
K < =,;==,0= < cngh (`ddk)
K < =,0=>,== < cngh sohnig (oxoiioft)
K < fo`ntgb (-) solun tgknh cngh, enkg solun cutgr sdni ynf`
lolpufyng fging K fo`ntgb socnghfyn kgkrdp ntnu kgcunf` snen.
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;>
CNC R
LOFZHDS KNF LOFGING
N.Lofshdr
Zoloftnrn drnf` corpofknpnt cnawn cn`gnf ynf` pnigf`
poftgf` knrg pohorennf pof`uhurnf kof`nf tos nknina
pofyusufnf tos. Eghn nint tosfyn sukna kgsusuf socngh-cnghfyn
lnhn nf``npnffyn sukna torjnpngina socn`gnf cosnr knrg
lnhsukfyn. [oftu snen nf``npnf gtu tgknh cofnr. ]ofyusufnf
tos cnru lorupnhnf sntu cn`gnf knrg soroftotnf pohorennf
lof`otos.
Kg snlpgf` pofyusufnf knf poinhsnfnnf tos gtu sofkgrg,
lofshdr knf lofging lorupnhnf pohorennf ynf` lofuftut
hotohufnf ynf` iunr cgnsn knrg pofging, kgtnlcna kof`nf
hocgenhsnfnnf-hocgenhsnfnnf tortoftu. Fnln ingf lofshdr
nknina lolcorg nf`hn.Kninl pohorennf lofshdr ntnu lolcorg nf`hn, knpnt
kg`ufnhnf : lnjnl nint cnftu yngtu 5
n.Nint cnftu uftuh lofoftuhnf enwncnf ynf` cofnr, kgsocut
hufjg enwncnf.
c.Nint cnftu uftuh lofyoiohsg enwncnf enwncnf ynf` cofnr
knf ynf` snina, kgsocut hufjg shdrgf`.
j.Nint cnftu uftuh lofoftuhnf nf`hn, kgsocut pokdlnf
pofgingnf.
>.Hufjg enwncnf knf hufjg polcorgnf shdr uftuh tos
coftuh Cotui-Znina
_ftuh tos coftuh cotui-snina (truo-bniso) ynf` kglnhsuk
kof`nf hufjg enwncnf nknina sokorotnf enwncnf ynf` hgtn
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;3
porsgnphnf uftuh portnfynnf-portnfynnf ntnu sdni-sdni ynf`
hgtn susuf, soknf`hnf hufjg shdrgf` nknina nint ynf` hgtn
`ufnhnf uftuh lolporjopnt pohorennf shdrgf`.
Dioa hnrofn kninl ani gfg tostoo (torjdcn) anfyn kglgftn
loigf`hnrg aurub C ntnu Z lnhn hufjg enwncnf ynf` kgsokgnhnf
anfyn corcoftuh urutnf fdldr sortn aurub kglnfn hgtn
lof`aofknhg uftuh loigf`hnrg ntnu knpnt eu`n kgcorg tnfkn Q.
Lgsnifyn 5
>. C 2. Z
3. Z 0. C
:. Z 1. Z
;. C 7. Z
?. C >=. C
Nkn cnghfyn hufjg enwncnf gfg kgtoftuhnf toriocga knauiu
socoiul lofyusuf sdnifyn, n`nr 5
]ortnln 5 knpnt kghotnaug glcnf`nf nftnrn enwncnf C knf Z
Hokun 5 knpnt kghotnaug iotnh ntnu enwncnf C knf Z
Coftuh sdni cotui-snina socnghfyn kgsusuf sokolghgnf
rupn soagf``n eulina enwncnf C anlpgr snln cnfynhfyn
kof`nf enwncnf Z, knf tgknh knpnt kgtocnh hnrofn tgknh
kghotnaug pdin enwncnffyn. Hufjg enwncnf uftuh tos coftuh gfg
knpnt kg`nftg hufjg shdrgf` (sjdrgf` hoy) ynf` polcuntnffyn
loiniug inf`hna-inf`hna socn`ng corghut5
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;:
Inf`hna > 5
Lofoftuhnf iotnh enwncnf ynf` cotui
Lgsnifyn 5
>. C Z 2. C Z
3. C Z 0. C Z
:. C Z 1. C Z
;. C Z 7. C Z
?. C Z >=. C Z
Inf`hna 3 5Loiucnf`g tolpnt-tolpnt igf`hnrnf sokolghgnf rupn soagf``n
igf`hnrnf tnf` kgcunt dioa tostoo knpnt torigant5
Jntntnf 5
Kof`nf jnrn gfg cnawn iucnf` ynf` toriniu hojgi cornhgcnt
tortutupfyn enwncnf tostoo, soknf`hnf iucnf` ynf` toriniu
cosnr nhnf snigf` loldtdf`.
Dioa hnrofn gtu, jnrn lofenwnc kof`nf lolcorg tnfkn
sginf` nhnf iocga cngh knrg pnkn loigf`hnrg. Kof`nf kolghgnf
lnhn tnfkn ynf` kgcunt tostoo nhnf tnlpnh eoins soportg
torigant pnkn jdftda corghut5
>. C Z 2. C Z
3. C Z 0. C Z
:. C Z 1. C Z
;. C Z 7. C Z
?. C Z >=. C Z
Kninl lofoftuhnf nf`hn (shdr) uftuh tos coftuh C-Z gfg
hgtn knpnt lof``ufnhnf rulus tnfpn auhulnf, yngtu
cnfynhfyn nf`hn ynf` kgenwnc kof`nf cofnr sosung hufjg
Q
Q
Q
Q
Q
Kof`nf jnrn gfg torigant nkn ?enwncnf ynf` topnt
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;;
enwncnf. Zoknf`hnf kof`nf auhulnf (hnrofn kgrn`uhnf
nknfyn ufsur tocnhnf) yngtu kof`nf rulus 5
Sulus 5 Z < SP
Kglnfn 5
Z < Zjdro
S < Sg`at
P < Prdf`
Zhdr ynf` kgpordioa sgswn socnfynh eulina sdni ynf`
cofnr kghurnf`g kof`nf eulina sdni ynf` snina.
3. Hufjg enwncnf knf hufjg polcorgnf shdr uftuh toscoftuh pgiganf `nfkn (luitgpio jadgjo)
Kof`nf tos pgiganf `nfkn, tostoo kglgftn loigf`hnrg snina
sntu aurub kg kopnf pgiganf enwncnf ynf` kgsokgnhnf ntnu
kof`nf lolcorg tnfkn sginf` (Q) pnkn tolpnt ynf` sosung kg
iolcnr enwncnf. Kninl ani lofoftuhnf hufjg enwncnf uftuh
coftuh gfg inf`hnafyn snln kof`nf sdni coftuh cotui-snina.
Anfyn uftuh sdni ynf` eulinafyn iocga knrg := cuna socnghfyn
lof``ufnhnf iolcnr enwncnf knf fdldr-fdldr urutnffyn
kgcunt sokolghgnf rupn soagf``n tgknh lolnhnf tolpnt.
Lgsnifyn socn`ng corghut 5
>. N C J K >>. N C J K
3. N C J K >3. N C J K
:. N C J K >:. N C J K
;. N C J K >;. N C J K
?. N C J K >?. N C J K
2. N C J K >2. N C J K
0. N C J K >0. N C J K
1. N C J K >1. N C J K
7. N C J K >7. N C J K
>=. N C J K 3=. N C J K
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
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;?
Kninl lofoftuhnf nf`hn uftuh tos coftuh pgiganf `nfkn,
eu`n kghofni 3 lnjnl jnrn, ynhfg tnfpn auhulnf knf kof`nf
auhulnf. [nfpn auhulfn npncgin cnfynhfyn nf`hn kgagtuf`
knrg cnfynhfyn enwncnf ynf` jdjdh kof`nf hufjg enwncnf.
Kof`nf auhulnf lof``ufnhnf rulus 5
Jdftda 5
- Cnfynhfyn sdni < 3=
- Cnfynhfyn ynf` cotui < >;
- Cnfynhfyn ynf` snina < 2
- Cnfynhfyn pgiganf < ;
Lnhn shdrfyn nknina 5
< >;3
< >3
:.Hufjg enwncnf knf hufjg polcorgnf shdr uftuh toscoftuh enwncnf sgf`hnt (sadrt nfswor tost)
[os enwncnf sgf`hnt nknina coftuh tos ynf` lof`aofknhg
enwncnf corcoftuh hntn ntnu hniglnt. Loigant fnlnfyn, lnhn
enwncnf uftuh tos torsocut tgknh cdioa corcoftuh hniglnt
pnfenf`, totnpg anrus sosgf`hnt luf`hgf knf lof`nfkuf` sntu
>)-(f
(P)SZ
Kglnfn 5
Z < Zjdro
S < Sg`at
P < Prdf`
f < Cnfynhfyn pgiganf enwncnf
>)-(f
(P)SZ
>)-(;
2>;
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;2
pof`ortgnf. Kof`nf porsynrntnf gfgina lnhn coftuh tos gfg
knpnt kg`didf`hnf ho kninl coftuh tos dceohtgb. [os coftuh
gsgnf kgnf``np sotnrn kof`nf tos enwncnf sgf`hnt.
Hufjg enwncnf tos coftuh gfg lorupnhnf korotnf enwncnf
sosung kof`nf fdldrfyn.
Jdftda 5
>.Sospgrnsg
3.Bdtdsgftosgs
:.Zoi
;.Hidrdpins
?.Hnrcdfkgdhsgkn
Cn`nglnfn hufjg polcorgnf shdrfyn 4
Zocnghfyn tgnp sdni kgcorg nf`hn 3 (kun). Knpnt eu`n nf`hn
gtu kgsnlnhnf kof`nf nf`hn pnkn coftuh cotui-snina ntnu
pgiganf `nfkn eghn lolnf` enwncnf ynf` kganrnphnffyn rgf`nf
ntnu lukna. [otnpg socnighfyn npncgin enwncnffyn corvnrgnsg
lgsnifyn iof`hnp sohnig, iof`hnp knf hurnf` iof`hnp, lnhn
nf`hnfyn knpnt kgcunt corvnrgnsg puin lgsnifyn 3, >,? knf >.
;.Hufjg enwncnf knf hufjg polcorgnf shdr uftuh toscoftuh lofedkdahnf (lntjagf`)
]nkn knsnrfyn tos coftuh lofedkdahnf nknina tos coftuh
pgiganf `nfkn, kglnfn enwncnf-enwncnf kgenkghnf sntu,
kolghgnf puin portnfynnf-portnfynnffyn. Kof`nf kolghgnf,
lnhn pgiganf enwncnffyn nhnf iocga cnfynh. Zntu hosuigtnf
in`g nknina cnawn enwncnf ynf` kgpgiga kgcunt sokolghgnf rupn
soagf``n enwncnf ynf` sntu tgknh kgporiuhnf cn`g portnfynnf
ingf.
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;0
Hufjg enwncnf tos coftuh lofedkdahnf knpnt corcoftuh
sokorotnf enwncnf ynf` kghoaofknhg ntnu korotnf fdldr ynf`
kgghutg dioa aurub-aurub ynf` torknpnt kg kopnf nitorfntgb
enwncnf.
Jdftda 5
Hnrofn sdni coftuh lofedkdahnf nknina tos coftuh pgiganf
`nfkn ynf` iocga hdlpiohs. Lnhn nf`hn ynf` kgcorghnf socn`ng
glcninf eu`n anrus iocga cnfynh. Lgsnifyn nf`hn uftuh tgnp
fdldr nknina 3 (kun).
?.Hufjg enwncnf knf hufjg polcorgnf shdr uftuh toscoftuh urngnf (ossny tost)
Zocoiul lofyusuf socuna tos urngnf socnghfyn hgtn
toftuhnf toriocga knauiu pdhdh-pdhdh enwncnf ynf` hgtn
hoaofknhg. Kof`nf kolghgnf, lnhn nhnf lolporlukna hgtn
kninl lof`drohsg tos torsocut.
[gknh nkn enwncnf ynf` pnstg toranknp tos coftuh urngnf
gfg. Enwncnf ynf` hgtn pordioa nhnf snf`nt cornfohn rn`nl.
Inf`hna-inf`hna ynf` lostg hgtn inhuhnf pnkn wnhtu hgtn
lof`drohsg knf lolcorg nf`hn tos coftuh urngnf nknina
socn`ng corghut 5
n.Lolcnjn enwncnf sdni portnln knrg soiurua enwncnf sgswn.
Kof`nf lolcnjn soiurua enwncnf, hgtn knpnt lolpordioa
>.Sgcdsdl
3.Cnknf `di`g
:.Lolcrnf soi
;.Sotghuiul ofkdpinsln
?.Igsdsdl
>. b
3. c
:. k
;.
n?. j
ntnu
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;1
`nlcnrnf iof`hnp tgknhfyn enwncnf sgswn sojnrn
hosoiuruanf.
c.Lofoftuhnf nf`hn shdr enwncnf uftuh sdni portnln.
Lgsnifyn eghn enwncnffyn iof`hnp knf cofnr kgcorg nf`hn ?,
hurnf` sokghgt kgcorg nf`hn ;, knf sotorusfyn agf``n enwncnf
ynf` pnigf` lgfgl, yngtu eghn enwncnffyn loiosot ntnu snln
sohnig tgknh cofnr. Knf eghn tgknh nkn enwncnffyn (hdsdf`)
hgtn corg nf`hn =.
j.Lolcorghnf nf`hn cn`g sdni portnln uftuh soiurua enwncnf
sgswn.
k.Lof`uinf`g inf`hna-inf`hna torsocut uftuh sdni hokun knf
sotorusfyn agf``n soiosng.
o.Lofeulinahnf nf`hn-nf`hn ynf` kgpordioa dioa lnsgf`-
lnsgf` sgswn.
2.Hufjg enwncnf knf hufjg polcorgnf shdr uftuh tu`ns
Hufjg enwncnf uftuh lolorghsn tu`ns lorupnhnf pdhdh-
pdhdh ynf` anrus torlunt kg kninl pohorennf sgswn. Ani gfg
lofynf`hut hrgtorgn toftnf` gsg tu`ns. Fnluf socn`ng
hoiof`hnpnf kninl polcorgnf shdr kg`ufnhnf suntu tdidh uhur
tortoftu.
[didh uhur ynf` kgsnrnfhnf socn`ng uhurnf hocoransginf
tu`ns nknina 5
n.Hotopntnf wnhtu pofyornanf tu`ns.
c.Coftuh bgsgh pof`orennf tu`ns ynf` lofnfknhnf hosorgusnf
lnansgswn kninl lof`orenhnf tu`ns.
j.Zgstolntghn ynf` lofufeuhhnf horuftutnf pghgrnf.
k.Hoiof`hnpnf gsg lofynf`hut hotuftnsnf pofyoiosngnf knf
hopnkntnf gsg.
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;7
o.Lutu ansgi tu`ns, yngtu hososungnf ansgi kof`nf `nrgs-`nrgs
ynf` sukna kgtoftuhnf dioa `uru/kdsof.
Kninl lolportglcnf`hnf fging nhagr poriu kgpghgrhnf
pornfnf lnsgf`-lnsgf` nspoh hrgtorgn torsocut, lgsnifyn 5
N> < Hotopntnf wnhtu, kgcorg cdcdt 3
N3 < Coftuh bgsgh, kgcorg cdcdt >
N: < Zgstolntghn, kgcorg cdcdt :
N; < Hoiof`hnpnf gsg, kgcorg cdcdt :
N? < Lutu ansgi tu`ns, kgcorg cdcdt :
Lnhn fging nhagr uftuh tu`ns torsocut kgcorghnf kof`nf
rulus 5
C.Lofging
Wnf` kglnhsuk kof`nf lofging gnina ho`gntnf lol-
cnfkgf`hnf ansgi pof`uhurnf (shdr) sgbnt suntu dceoh kof`nfnjunf ynf` roiovnf sokolghgnf rupn soagf``n kgpordioa suntu
hunigtns ynf` corsgbnt hunftgtntgb.
Zocn`ng ansgi pofgingnf sgbnt suntu dceoh corupn hunigtns
ynf` corsgbnt hunftgtntgb ynf` kgcorg sglcdi n`nr iocga kgpnanlg.
Zglcdi ynf` kgpnhng kninl pofgingnf uftuh lofyntnhnf fging
torsocut knpnt corupn nf`hn knf aurub.
>.Zglcdi nf`hn 5 Zhnin = s/k ;8 > s/k ;8 > s/k >==Nrtg sglcdi nf`hn nftnrn ingf 5
> < nlnt curuh
3 < curuh
: < nlnt hurnf`
; < hurnf`
? < tgknh juhup
>3
Nx:Nx:Nx:Nx>Nx3FN[ ?;:3>
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?=
2 < juhup
0 < iocga juhup
1 < cngh
7 < nlnt cngh
>= < gstglown
3.Zglcdi aurub 5 O8 K8 J8 C8 N
Nrtg sglcdi aurub nftnrn ingf 5
O < `n`ni
K < hurnf`/lorn`uhnf
J < juhup
C < cngh
N < nlnt cngh
Nkn hosnf pof``ufnnf sglcdi nf`hn iocga iuwos knrg pnkn
sglcdi aurub, hnrofn nf`hn loluf`hgfhnf uftuh kgeulina-
hnf, kghurnf`hnf, kghnighnf, kgcn`ghnf knf socn`ngfyn.
Zoagf``n knpnt kgdina uftuh hoporiunf-hoporiunf ingf soportg
lonf, stnfknr kovgnsg hdroinsg knf socn`ngfyn. Zoingf gtu
roftnf`nf fging kof`nf sglcdi nf`hn iocga iuns knrg pnkn
sglcdi aurub, soagf``n knpnt lownhgig porcoknnf hunftgtntgb
sojnrn iocga rgfjg sosung kof`nf corcn`ng tgf`hnt porholcnf`nf
pnkn sgswn.
J.]orcoknnf nftnrn Zhdr knf Fging
Zocoiul loinhuhnf pof`dinanf knf hdfvorsg kntn ansgi
pofgingnf (lof`ucna kntn shdr loftna ansgi tos coinenr lofenkg
fging stnfknr) toriocga knauiu anrus kgcoknhnf pof`ortgnf shdr
knf fging. ]nkn ululfyn nftnrn shdr knf fging kgnf``np
lolpufyng pof`ortgnf ynf` snln, pnknani hokunfyn lolpu-
fyng nrtg ynf` corcokn.
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?>
Zhdr 5 Nknina ansgi pohorennf lofyohdr (lolcorg nf`hn) ynf`
kgpordioa kof`nf lofeulinahnf nf`hn-nf`hn cn`g
sotgnp sdni tos ynf` kgenwnc cotui dioa sgswn.
Fging 5 Nknina nf`hn ntnu aurub ucnanf knrg shdr ynf` sukna
kgeulinahnf kof`nf lof``ufnhnf njunf tortoftu,
ynhfg njunf fdrln knf njunf pntdhnf ntnu stnfknr.
Fging pnkn knsnrfyn lorupnhnf nf`hn ntnu aurub ynf`
lof``nlcnrhnf socornpn tgf``g/cosnr tgf`hnt hotorjnpngnf
hdlpotofsg, eu`n loinlcnf`hnf pof`anr`nnf ynf` kgcorghnf
sodrnf` `uru hopnkn posortn kgkgh.
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?3
CNC RG
LOF@DINA FGING
N.Cocornpn Zhnin ]ofgingnf
>.Zhnin Cocns
Zhnin cocns nknina shnin ynf` tgknh totnp, Nknhninfyn shdr
tortgf``g 3=, ingf hnig 3?, ?= knf ynf` ingffyn. Zolun
tor`nftuf` knrg cnfynh knf coftuh sdni. Enkg nf`hn tortgf``g
knf shnin ynf` kg`ufnhnf tgknh soiniu snln.
3.Zhnin >>=
]nkn ululfyn pnrn `uru jofkoruf` lof``ufnhnf shnin >
>= kninl lolcorghnf pofgingnf toranknp sgswn. Gfg cornrtg
cnawn sgswn ynf` lofknpnt fging >= nknina fging ynf`
tortgf``g.
:.Zhnin >>==
Kof`nf lof``ufnhnf shnin >>= lnhn cginf`nf cuint ynf`nkn lnsga lofufeuhhnf pofgingnf ynf` n`nh hnsnr.
Zocofnrfyn nkn ansgi prostnsg ynf` cornkn kg nftnrn hokun
nf`hn cuint gtu. _ftuh gtuina lnhn kof`nf lof``ufnhnf
shnin >>== kgluf`hgfhnf loinhuhnf pofgingnf ynf` iocga
anius hnrofn torknpnt >== cginf`nf cuint. Lgsnifyn nf`hn
2,; kninl shnin >>= cgnsnfyn kgcuinthnf lofenkg 2, totnpg
kninl shnin >>== nf`hn gfg kgtuigshnf nf`hn cuint 2;.
;.Zhnin aurub
Zoingf lof``ufnhnf nf`hn, polcorgnf fging knpnt kginhuhnf
kof`nf aurub N, C, J, K knf O. Enrnh nftnrn aurub N knf C
tgknh knpnt kg`nlcnrhnf snln kof`nf enrnh nftnrn C knf J,
ntnu nftnrn J knf K. ]of``ufnnf aurub kninl pofgingnf
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?:
nhnf tornsn iocga topnt kg`ufnhnf hnrofn tgknh kgtnbsgrhnf
socn`ng nrtg porcnfkgf`nf. Aurub tgknh lof``nlcnrhnf
hunftgtns, totnpg knpnt kg`ufnhnf socn`ng sglcdi uftuh
lof``nlcnrhnf hunigtns. Dioa hnrofn gtu, kninl lof`nlcgi
eulina ntnu rntn-rntn nhnf kgeulpng hosuigtnf. ]nknani
kninl pof`gsgnf rnpdr hgtn tgknh iopns knrg pohorennf
lof`nlcgi rntn-rntn.
Nkn jnrn ynf` kg`ufnhnf uftuh lof`nlcgi rntn-rntn
knrg aurub, yngtu kof`nf loftrnfsbor fging aurub torsocut
lofenkg fging nf`hn knauiu. Wnf` sorgf` kg`ufnhnf, sntu fging
aurub gtu lownhgig sntu roftnf`nf fging nf`hn. Jdftdafyn
nknina socn`ng corghut 5
Nf`hn >== Nf`hn >= Aurub Hotornf`nf
1=>== 1,=>=,= N Cngh sohnig
2207 2,20,7 C Cngh
?22? ?,22,? J Juhup
;=?? ;,=?,? K Hurnf`:=:7 :,=:,7 O @n`ni
C.Lnjnl-Lnjnl Njunf ]ofgingnf
Kninl ]ofgingnf sgbnt suntu dceoh, pof``ufnnf cnanf
polcnfkgf` socn`ng nint uftuh lolcorg nrtg pnkn shdr lofenkg
snf`nt poftgf`. Cnanf polcnfkgf` gfg kgsocut njunf pofgingnf.
Lnjnl-lnjnl njunf pofgingnf ynf` kgpnhng kninl suntu
pofgingnf sgbnt suntu dceoh kgcoknhnf lofenkg 5
n.]ofgingnf Njunf ]ntdhnf ntnu ]N] (Jrgtorgdf-Soborofjok
Ovniuntgdf)
c.]ofgingnf Njunf Fdrln ntnu ]NF (Fdrl-Soborofjok
Ovniuntgdf)
j.]ofgingnf njunf Hdlcgfnsg ntnu ]NH
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?;
>.]ofgingnf Njunf ]ntdhnf ntnu ]N] (Jrgtorgdf-Soborofjok
Ovniuntgdf)
Wnf` kglnhsuk kof`nf ]ofgingnf Njunf ]ntdhnf ntnu ]N]
nknina suntu pofgingnf ynf` lolporcnfkgf`hnf prostnsg
coinenr sgswn kof`nf suntu pntdhnf ynf` toina kgtotnphnf
socoiulfyn, suntu prostnsg ynf` soanrusfyn kgjnpng dioa sgswn
ynf` kgtuftut dioa `uru.
Kof`nf kolghgnf ]N] cordrgoftnsg pnkn suntu pntdhnf
hocoransginf ntnu cntns iuius pof`unsnnf cnanf ynf` sgbntfyn
pnstg ntnu ncsdiut. Dioa hnrofn gtu, pofgingnf gfg kgsocut eu`n
]ofgingnf Njunf Lutinh (]NL) ntnu ]ofgingnf Njunf Ncsdiut
(]NN).
[ohfgh ntnu lotdko pof`dinanf gfg corknsnrhnf nsulsg
cnanwn hdlpotofsg ynf` anrus kgpoinenrg dioa posortn kgkgh
lolpufyng struhtur agrnrhg. Nrtgfyn lnsgf`-lnsgf` tnrnb ntnu
tgf`hntnf lntorg knrg lnsgf`-lnsgf` hdlpotofsg anrus
kghunsng dioa posortn kgkgh. Zodrnf` posortn kgkgh anrus sukna
hdlpotof/lofjnpng hotuftnsnf coinenr knrg hdlpotofsg
iovoi/tgf`hntnf kg cnwnafyn uftuh loinfeuthnf ho iovoi
hdlpotofsg corghutfyn/kgntnsfyn. Eghn coiul lofjnpng
hotuftnsnf coinenr lnhn posortn kgkgh coiul kgporhofnfhnf
uftuh loinfeuthnf coinenr ho iovoi ynf` iocga tgf``g.
_ftuh lofoftuhnf suntu pntdhnf pof`unsnnf cnanf
poinenrnf ynf` lorupnhnf hdlpotofsg kninl suntu ]N] poriu
kgporantghnf synrnt-synrnt 5
n.Zodrnf` `uru anrus lnlpu lof`gkoftgbghnsghnf tueunf
gfstruhsgdfni sojnrn tuftns knrg sotgnp lntn poinenrnf ynf`
kgnlpufyn knf lorulushnf sojnrn topnt soagf``n tueunf
gfstruhsgdfni torsocut cofnr-cofnr dpornsgdfni.
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??
c.Zodrnf` `uru lnlpu lofyoiof``nrnhnf prd`rnl polcgfnnf
knf pof`nynnf ynf` lolnknag.
j.@uru knf sohdina anrus lnlpu lof`oidin sojnrn torofjnfn
knf lolnkng sotgnp ho`gntnf sohdina knf lofyokgnhnf
bnsgigtns ynf` roiovnf.
Kgtgfenu knrg tuftutnf prostnsg coinenr kninl prosoftgi ynf`
corsgbnt `rnkntgb ntnu corkornent, ynf` lofyocnchnf tuftutnf
kninl pnssgf` sjdrofyn tgknh snln, lnhn pnkn pdhdhfyn
kgcoknhnf kun tgpo ]N], ynhfg ]N] tgpo G knf ]N] tgpo GG.
n. ]N] tgpo G
Kninl ]N] tgpo G gfg, sodrnf` `uru toina lofotnphnf suntu
cntns pof`unsnnf cnanf poinenrnf ntnu hdlpotofsg lgfglni
ynf` kgnf``np knpnt loiuiushnf (pnssgf` sjdro) knrg
hosoiuruanf pof`unsnnf cnanf ynhfg 2?% ynf` kgcorg fging
juhup (2 ntnu J). Kof`nf hntn ingf pnssgf` sjdro prostnsg
coinenr ynf` kgtuftut socosnr 2?% knrg tdtni sjdro ynf`
soanrusfyn kgjnpng, iniu kgcorg fging juhup. Enkg pnssgf`
sjdro toriotnh pnkn porsoftgi 2?. ]orsoftgi 2? eu`n sorgf`
kgsocut porsoftgi lnhsglni, hnrofn porsoftgi 2? kgnf``np
lorupnhnf cntns pof`unsnnf hdlpotofsg lgfglni ynf`
sukna tgf``g.
_ftuh fging-fging kg ntns knf kg cnwna juhup kgporagtuf`hnf
socn`ng corghut 5
[gf`hnt pof`unsnnf Hdlpotofsg Fging aurub
7=%>==% < N
1=%17% < C
2?%07% < J
??%2;% < K
Kg cnwna ??% < O
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?2
[gf`hnt pof`unsnnf Hdlpotofsg Fging Nf`hn7?%>==% < >=
7=%7;% < 7
1?%17% < 1
1=%1;% < 0
2?%07% < 2
2=%2;% < ?
??%?7% < ;
?=%?;% < :
;?%;7% < 3
=%;;% < >
c. ]N] tgpo GG
Kninl ]N] tgpo GG gfg pof`unsnnf hdlpotofsg lgfglni ynf`
lorupnhnf pnssgf` sjdro nknina ?2% knrg tdtni shdr ynf`
soanrusfyn kgjnpng, kgcorg fging juhup. [uftutnf pnkn
porsoftgi ?2 sorgf` kgsocut porsoftgi lgfglni, hnrofn pnssgf`
sjdro pnkn porsoftgi ?2 kgnf``np lorupnhnf cntns
pof`unsnnf hdlpotofsg lgfglni ynf` pnigf` rofkna.
_ftuh fging-fging kg ntns knf kg cnwna juhup kgporagtuf`hnf
socn`ng corghut 5
[gf`hnt pof`unsnnf Hdlpotofsg Fging aurub
1>%>==% < N
22%1=% < C
?2%2?% < J
;2%??% < K
Kg cnwna ;2% < O
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?0
[gf`hnt pof`unsnnf Hdlpotofsg Fging Nf`hn7>%>==% < >=
1>%7=% < 7
0;%1=% < 1
22%0:% < 0
?2%2?% < 2
?>%??% < ?
;2%?=% < ;
;>%;?% < :
:2%;=% < 3
=%:?% < >
3.]ofgingnf Njunf Fdrln ntnu ]NF (Fdrl-Soborofjok
Ovniuntgdf)
Wnf` kglnhsuk kof`nf ]ofgingnf Njunf Fdrln ntnu ]NF
(Fdrl-Soborofjok Ovniuntgdf) nknina suntu fging ynf` lol-
cnfkgf`hnf ansgi coinenr sgswn toranknp ansgi coinenr sgswn ingf
kninl hoidlpdhfyn. Kof`nf hntn ingf nknina pofgingnf ynf`
lolcnfkgf`hnf ansgi coinenr sgswn kof`nf prostnsg ynf` knpnt
kgjnpng dioa sgswn kninl hoidlpdhfyn. Enkg, kninl ]NF suntu
prostnsg ynf` knpnt kgjnpng dioa sgswn kninl hoidlpdhfyn cnru
knpnt kgtotnphnf sotoina suntu pof`uhurnf kginhsnfnhnf.
[ohfgh ntnu lotdko pof`dinanf shdr gfg kgknsnrhnf pnknnsulsg8
]ortnln cnawn hoidlpdh ntnu pdpuinsg posortn kgkgh
sgbntfyn aotord`of. Ani gfg corglpighnsg pnkn pof`oidlpdhhnf
holnlpunf coinenr. Nkn hoidlpdh tgf``g (pnfkng), hoidlpdh
soknf` (juhup) knf hoidlpdh rofkna (hurnf`). Kof`nf
kolghgnf ]NF gfg cordrgoftnsg pnkn prostnsg roni ynf` knpnt
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?1
kgjnpng dioa hoidlpdh ynf` kgfyntnhnf kninl prostnsg rntn-rntn
hoidlpdh ntnu lonf (L) cosortn stnfknr kovgnsgfyn (Z) pnkn
hurvn fdrlni. Eghn kg`nlcnrhnf kninl coftuh hurvn, nhnf
tnlpnh soportg pnkn `nlcnr corghut5
Hokun, prdsos pofgingnf ansgi coinenr kof`nf tohfgh gfg
lolpufyng tueunf uftuh lofoftuhnf pdsgsg rointgb ntnu
porgf`hnt posortn kgkgh ynf` soknf` kgfging knrg hoidlpdhfyn
(npnhna pdsgsgfyn cornkn kg ntns, kg tof`na ntnu kg cnwna).
Cosnr prostnsg rntn-rntn hoidlpdh corsnln stnfknr kovgnsg
pnkn hurvn fdrlni kgpnhng socn`ng knsnr uftuh lofoftuhnf
cntns iuius ntnu pnssgf` sjdroknf shdr-shdr ingf corghut fging-
fgingfyn. Kof`nf kolghgnf ]NF tor`nftuf` snf`nt tor`nftuf`
pnkn L knf Z ynf` kgpordioa. Hoidlpdh ynf` tgf``g (pnfkng)
nhnf lof`ansgihnf L ynf` cosnr knf socnighfyn hoidlpdh
ynf` rofkna (hurnf`) nhnf lof`ansgihnf L ynf` hojgi. Honknnf
gfgina ynf` lorupnhnf snina sntu hoiolnanf pof``ufnnf ]NF.
]rostnsg rntn-rntn hoidlpdh knf stnfknr kovgnsgfyn tgknh pnstg
ntnu rointgb. Dioa hnrofn gtu pofgingnf gfg sorgf` kgsocut euhn
]ofgingnf Njunf Sointgb (]NS).
Hnrofn pordioanf Lonf knf stnfknr kovgnsg knrg corcn`ng
sohdina lnsga corvnrgnsg, lnhn kninl ]NF kgcoknhnf ]NF tgpo G
knf ]NF tgpo GG.
Hoidlpdh tgf``gHoidlpdh rofkna Hoidlpdh Zoknf`
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?7
n.]NF tgpo G
Kninl tgpo gfg cntns iuius ntnu pnssgf` sjdro kgtoftuhnf
socosnr L + =,3?Z kgcorg fging juhup. _ftuh fging-fging kg ntns
knf kg cnwna juhup kgporagtuf`hnf socn`ng corghut 5
Zhdr-shdr Fging
Nf`hn Aurub
L + 3,3?Z < >=
L + >,0?Z < 7
L + >,3?Z < 1
L + =,0?Z < 0
L + =,3?Z < 2
L=,3?Z < ?
L=,0?Z < ;
L>,3?Z < :
L>,0?Z < 3
L3,3?Z < >
c.]NF tgpo GG
Knsnr knrg ]NF tgpo GG gfg nknina porsoftnso knorna hurvn
fdrlni. Kninl tgpo gfg cntns iuius kgtoftuhnf socosnr L>Z
kgcorg fging juhup. ]nssgf` sjdro]NF tgpo GG lorupnhnf cntns
iuius ynf` pnigf` rofkna kninl cntns ynf` lnsga kgnf``np
fdrlni.
Zotoina pnssgf` sjdro uftuh fging juhup kgtoftuhnf, uftuh
fging-fging kg ntns knf kg cnwnafyn kgporagtuf`hnf socn`ng
corghut 5
N
C
J
K
O
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2=
Zhdr-shdr Fging aurub
Kg ntns L + 3Z < N
L + >Z knf L + 3Z < C
L>Z knf L + >Z < J
L3Z knf L>Z < K
Kg cnwna L3Z < O
Zhdr-shdr Fging Nf`hn
L + 3,?Z knf L + :Z < >=
L + 3Z knf L + 3,?Z < 7
L + >,?Z knf L + 3Z < 1
L + >Z knf L + >,?Z < 0
L>Z knf L + >Z < 2
L>,?Z knf L>Z < ?
L3Z knf L>,?Z < ;
L3,?Z knf L3Z < :
L:Z knf L3,?Z < 3
Kg cnwna L:Z < >
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2>
CNC RGG
]OFGINGNF LOFWOI_S_A KNF COSHOINFE_[NF
N. Hdfsop ]ofgingnf
Glpioloftnsg ]ornturnf ]olorgftna Fd. >7 [nauf 3==?
[oftnf` Ztnfknr Fnsgdfni ]ofkgkghnf, lolcnwn glpighnsg
toranknp ldkoi knf toafgh pofgingnf prdsos knf ansgi coinenr.
]oinhu pofgingnf toranknp prdsos knf ansgi coinenr kgnftnrnfyn
gftorfni knf ohstorfni. ]ofgingnf gftorfni lorupnhnf pofgingnf
ynf` kginhuhnf knf kgrofnfnhnf dioa `uru pnkn snnt pol-
coinenrnf corinf`suf`. Zoknf`hnf pofgingnf ohstorfnil rp
pofgingnf ynf` kginhuhnf dioa pganh iunr ynf` tgknh loinhsnfn-
hnf prsdos polcoinenrnf, cgnsnfyn kginhuhnf dioa suntu
gfstgtusg/iolcn`n cngh kg kninl lnpuf kg iunr fo`org. ]ofoigtgnf
ynf` kginhuhnf iolcn`n/gfstgtusg torsocut kglnhsukhnf
socn`ng pof`ofknig lutu prdsos knf ansgi coinenr posortn kgkgh.Lotdko knf tohfgh pofgingnf socn`ng cn`gnf knrg pofgingnf
gftorfni (gftorfni nssossloft) uftuh lof`otnaug prdsos knf
ansgi coinenr posortn kgkgh toranknp pof`unsnnf hdlpotofsg
ynf` kgnenrhnf dioa `uru. Ani gfg cortueunf uftuh lof`uhur
tgf`hnt hotorjnpngnf hotuftnsnf hdlpotofsg dioa posortn kgkgh.
]ofgingnf ansgi coinenr posortn kgkgh ynf` kginhuhnf dioa
`uru soingf uftuh lolnftnu prdsos, holneunf knf
porholcnf`nf ansgi coinenr posortn kgkgh sosung kof`nf pdtofsg
ynf` kglgighg, eu`n sohnig`us socn`ng ulpnf cnigh hopnkn `uru
n`nr knpnt lofyolpurfnhnf kninl prdsos prd`rnl
polcoinenrnf.
Nkn olpnt gstgina ynf` corhngtnf kof`nf hdfsop pofgingnf
knf sorgf` hnig kg`ufnhnf uftuh lof`otnaug hocoransginf
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23
coinenr knrg posortn kgkgh yngtu pof`uhurnf, pof`uegnf,
pofgingnf knf ovniunsg. Fnluf kgnftnrn hoolpnt gstgina
torsocut pof`ortgnffyn lnsga sorgf` kgjnlpurnkuhhnf, pknani
hoolpnt gstgina torsocut lolgighg pof`ortgnf ynf` corcokn.
Zocofnrfyn prdsos pof`uhurnf, pofgingnf, ovniunsg knf
pof`uegnf lorupnhnf suntu ho`gntnf ntnu prdsos ynf` corsgbnt
agrnrhgs. Nrtgfyn ho`gntnf kginhuhnf sojnrn corurutnf knf
coreofenf` yngtu kgluing knrg prdsos pof`uhurnf holukgnf
pofgingnf knf tornhagr ovniunsg. Zoknf`hnf prdsos pof`uegnf
lorupnhnf cn`gnf knrg pof`uhurnf ynf` kginfeuthnf kof`nf
ho`gntnf pofgingnf.
Lofurut @ugibdrk (>713), pof`uhurnf nknina prdsos
pofotnpnf nf`hn toranknp suntu `oenin lofurut nturnf
tortoftu. ]of`uhurnf kninl hurghuiul [gf`hnt Zntunf
]ofkgkghnf (H[Z]) corknsnrhnf pnkn hinsgbghnsg dcsorvnsg uftuh
horen ntnu holnlpunf posortn kgkgh kof`nf lof``ufnhnf
suntu stnfknr.
]of`uhurnf knpnt lof``ufnhnf tos knf fdf tos. [os
nknina sopornf`hnt portnfynnf ynf` lolgighg enwncnf cofnr
ntnu snina. Zoknf`hnf fdf tos nknina portnfynnf lnupuf
porfyntnnf ynf` tgknh lolgighg enwncnf cofnr ntnu snina.
gfstrulof fdf tos cgsn corcoftuh huosgdfor ntnu gfvoftdrg.
Huosgdfor corgsg soeulina portnfynnf ntnu porfyntnnf
soknf`hnf posortn kgkgh kglgftn uftuh lofenwnc ntnu
lolcorghnf pofknpntfyn toranknp porfyntnnf ynf` kgneuhnf.
Gfvoftdrg lorupnhnf gfstrulof ynf` corgsg toftnf` inpdrnf kgrg
knrg honknnf posortn kgkgh, lgsnifyn pdtofsg posortn kgkgh.
]of`uhurnf kninl ho`gntnf coinenr cgsn corsgbnt hunftgtntgb
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2:
lnupuf hunigtntgb. Hunftgtntgb ansgifyn corupn nf`hn
soknf`hnf hunigtntgb ansgifyn corupn porfyntnnf hunigtntgb yngtu
corupn porfyntnnf snf`nt cngh, cngh, juhup, hurnf`, snf`nt
hurnf` knf ingf socn`ngfyn.
]of`uhurnf (lonsuroloft) nknina prdsos polcorgnf nf`hn
ntnu usnan lolpordioa kgshrgpsg fulorgh knrg suntu tgf`hntnf
kglnfn sodrnf` posortn kgkgh toina lofjnpng hnrnhtorgstgh
tortoftu. ]of`uhurnf corhngtnf ornt kof`nf prdsos pofjnrgnf
ntnu pofoftunf fging hunftgtntgb.
]of`uhurnf pnkn anhohntfyn nknina lolcnfkgf`hnf
sosuntu kof`nf ntnu ntns knsnr uhurnf tortoftu ynf` sgbntfyn
hunftgtntgb. ]of`uhurnf ynf` sgbntfyn hunftgtntgb kgcoknhnf
lofenkg : lnjnl yngtu5
>.]of`uhurnf ynf` kginhuhnf cuhnf uftuh lof`gsg sosuntu,
lgsnifyn lof`uhur iuns inanf lolcnf`uf rulna.
3.]of`uhurnf ynf` kginhuhnf uftuh lof`ueg sosuntu, lgsni
lof`uhur uftuh lof`ueg knyn tnanf cnen toranknp tohnfnf
cornt.
:.]of`uhurnf uftuh lofging ynf` kginhuhnf kof`nf eninf
uftuh lof`ueg sosuntu, lgsni lof`uhur holneunf coinenr
posortn kgkgh uftuh lof`gsg fging rnpdrt ynf` kginhuhnf
kof`nf lof`ueg lorohn loiniug nint tos.
]of`uhurnf eofgs ynf` hotg`n gfgina ynf` kghofni kninl
kufgn pofkgkghnf. Ansgi pof`uhurnf corcoftuh hotornf`nf
ynf` corupn nf`hn-nf`hn ntnu cginf`nf-cginf`nf.
]ofgingnf (nssossloft) lorupnhnf gstgina ynf` ulul knf
lofjnhup solun lotdko ynf` cgnsn kgpnhng uftuh lof`otnaug
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2;
hocoransginf coinenr sgswn kof`nf jnrn lofging ufeuh horen
gfkgvgku posortn kgkgh ntnu hoidlpdh.
Lofging lof`nfkuf` nrtg lof`nlcgi hoputusnf toranknp
sosuntu kof`nf corknsnrhnf kgrg ntnu corpo`nf` pnkn uhurnf
cngh-curuh, soant-snhgt, pnfkng-cdkda knf ingf-ingf. ]ofgingnf
ynf` kolghgnf sgbntfyn hunigtntgb.
Fnluf gstgina pofgingnf lolpufyng nrtg ynf` iocga iuns
knrgpnkn gstgina pof`uhurnf. ]of`uhurnf socofnrfyn anfyn
lorupnhnf suntu inf`hna ntnu tgfknhnf ynf` hgrnfyn poriu
kgnlcgi kninl rnf`hn poinhsnfnnf ovniunsg, kglnfn tgknh
solun pofgingnf anrus kgknauiug kof`nf pof`uhurnf sojnrn
iocga fyntn.
]ofgingnf nknina pofornpnf corcn`ng jnrn knf pof``ufnnf
corn`nl nint. ]ofgingnf uftuh lolpordioa corcn`ng rn`nl
gfbdrlnsg toftnf` soenua lnfn ansgi coinenr posortn kgkgh ntnu
gfbdrlnsg toftnf` hotorjnpngnf hdlpotofsg posortn kgkgh. ]rdsos
pofgingnf gfg cortueunf uftuh lofenwnc portnfynnf toftnf`
socngh npn ansgi ntnu prostnsg coinenr posortn kgkgh.
]rdsos pofgingnf lofjnhup pof`ulpuinf cuhtg uftuh
lofufeuhhnf pofjnpngnf coinenr (hotorjnpngnf hdlpotofsg)
knrg posortn kgkgh. Lofurut @rgbbgf knf Fgx (>77>) pofgingnf
nknina suntu porfyntnnf corknsnrhnf soeulina bnhtn uftuh
lofeoinshnf hnrnhtorgstgh sosodrnf` ntnu sosuntu. Kobgfgsg
pofgingnf coraucuf`nf ornt kof`nf sotgnp cn`gnf knrg ho`gntnf
coinenr lof`nenr. Gfg lofufeuhhnf cnawn prdsos pofgingnf
tgknh anfyn lofynf`hut ansgi coinenr snen totnpg eu`n
lofynf`hut solun prdsos coinenr knf lof`nenr. Dioa hnrofn
gtu prdsos pofgingnf tgknh anfyn torcntns pnkn hnrnhtorgstgh
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2?
posortn kgkgh snen totnpg eu`n lofjnhup hnrnhtorgstgh lotdko
lof`nenr, hurghuiul, bnsgigtns knf nklgfgstrnsg sohdina.
Gfstrulof pofgingnf cgsn corupn lotdko ntnu prdsokur bdrlni
lnupuf gfbdrlni, uftuh lof`ansgihnf gfbdrlnsg coinenr
posortn kgkgh. ]rdsos pofgingnf (tn`ganf) knpnt corcoftuh tos
cngh tortuigs lnupuf igsnf, iolcnr pof`nlntnf, pokdlnf
wnwnfjnrn, tu`ns rulna knf ingf socn`ngfyn. ]ofgingnf eu`n
knpnt kgnrtghnf socn`ng ho`gntnf lofnbsgrhnf kntn ansgi
pof`uhurnf.
Ovniunsg nknina ho`gntnf gkoftgbghnsg uftuh loigant npnhna
suntu prd`rnl ynf` toina kgrofjnfnhnf toina torjnpng ntnu
coiul, coranr`n ntnu tgknh coranr`n, knf knpnt puin uftuh
loigant tgf`hnt obgsgofsg poinhsnfnnffyn.
Ovniunsg coraucuf`nf ornt kof`nf hoputusnf fging (vniuo
euk`oloft). Kninl kufgn pofkgkghnf knpnt kginhuhnf ovniunsg
toranknp hurghuiul cnru, hocgenhnf pofkgkghnf, sulcor
coinenr tortoftu ntnu otds horen `uru.
Lofurut Ztubbioconl knf Zagfhbgoik (>71?), ovniunsg
nknina pofgingnf ynf` sgstolntgh toftnf` lnfbnnt ntnu
ho`ufnnf suntu dcyoh. Kninl loinhuhnf suntu dcyoh kninl
loinhuhnf suntu ovniunsg kg kninlfyn nkn ho`gntnf uftuh
lofoftuhnf fging suntu prd`rnl, soagf``n nkn ufsur
eu`koloft toftnf` fging suntu prd`rnl, soagf``n kninl prdsos
ovniunsg nkn ufsur sucyohtgb.
Znina sntu pginr kninl pofgingnf pnkn [gf`hnt Zntunf
]ofkgkghnf nknina pofgingnf hoins. ]ofgingnf hoins nknina
prdsos pof`ulpuinf knf pof``ufnnf gfbdrlnsg dioa `uru
uftuh polcorgnf fging toranknp ansgi coinenr sgswn corknsnrhnf
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22
tnanpnf holneunf sgswn sosung kof`nf knbtnr hdlpotofsg ynf`
kgtotnphnf kninl hurghuiul. ]ofgingnf hoins kginhsnfnhnf
sojnrn torpnku kninl ho`gntnf coinenr lof`nenr. ]ofgingnf
knpnt kginhuhnf kninl sgtunsg bdrlni lnupuf gfbdrlni, kg
kninl hoins lnupuf kg iunr hoins, torgfto`rnsg kof`nf ho`gntnf
coinenr ntnu cgsn puin kginhuhnf pnkn wnhtu tortoftu.
]ofgingnf hoins tgknh anfyn kginhuhnf kninl hoins totnpg
eu`n kg iunr hoins sojnrn bdrlni knf gfbdrlni (kginhuhnf sojnrn
hausus). ]ofgingnf kginhuhnf sojnrn torpnku kof`nf ho`gntnf
coinenr lof`nenr kninl sunsnfn ynf` lofyofnf`hnf (ofedy
ionrfgf`) soagf``n loluf`hgfhnf posortn kgkgh lofufeuhhnf
npn ynf` kgpnanlg knf lnlpu kghorenhnf.
Kntn ansgi coinenr posortn kgkgh soinln prdsos
polcoinenrnf corinf`suf` kgenrgf`, kghulpuihnf knf holukgnf
kgnfnigsgs loiniug prdsokur knf nint pofgingnf sosung kof`nf
hdlpotofsg/pofjnpngnf gfkghntdr ynf` nhnf kgjnpng. Ansgi
coinenr posortn kgkgh kninl porgdko wnhtu tortoftu
kgcnfkgf`hnf kof`nf ansgi porgdko socoiulfyn uftuh loigant
porholcnf`nf pofjnpngnf gfkghntdr/ hdlpotofsg knrg lnsgf`-
lnsgf` posortn kgkgh.
]rdsos pofgingnf hoins knpnt lolcorghnf lnfbnnt
kgnftnrnfyn5
>.Lolcorghnf ulpnf cnigh cn`g posortn kgkgh n`nr lof`otnaug
hohuntnf knf hoiolnanffyn kninl prdsos pofjnpngnf
gfkghntdr.
3.Lolnftnu holneunf knf lofkgn`fdsgs hosuigtnf coinenr
ynf` kgninlg posortn kgkgh soagf``n knpnt kginhuhnf rolokgni
knf pof`nynnf.
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:._lpnf cnigh cn`g `uru lolporcnghg lotdko, pofkohntnf,
ho`gntnf knf sulcor coinenr ynf` kg`ufnhnf.
;.Zocn`ng gfput ntnu lnsuhnf cn`g `uru uftuh loinhuhnf
porcnghnf kninl lornfjnf` ho`gntnf coinenr.
?.Lolcorghnf gfbdrlnsg hopnkn drnf` tun knf hdlgto sohdina
toftnf` obohtgvgtns pofkgkghnf.
2.Lolcorg ulpnf cnigh cn`g pnrn pof`nlcgi hocgenhnf
(stnhoadikors) kninl lolportglcnf`hnf hdfsop pofgingnf
hoins ynf` cngh uftuh kg`ufnhnf.
Zoingf knpnt lolcorghnf lnfbnnt, pofgingnf hoins eu`n
lolcorghnf buf`sg kgnftnrnfyn5
>.Lof``nlcnrhnf soenua lnfn porholcnf`nf posortn kgkgh
toina lof`unsng hdlpotofsg
3.lof`ovniunsg ansgi coinenr posortn kgkgh kninl rnf`hn
lolcnftu posortn kgkgh lolnanlg kgrgfyn, lolcunt
hoputusnf toftnf` inf`hna corghutfyn, lgsnifyn polgiganf
prd`rnl/pofeurusnf cnahnf sohdina eofenf` corghutfyn.
:.Lofoftuhnf hunigtns coinenr knf holuf`hgfnf
pdtofsg/prostnsg ynf` cgsn kgholcnf`hnf posortn kgkgh knf
socn`ng nint uftuh lofkgn`fdsn ynf` kginhuhnf dioa `uru
ynf` lofoftuhnf npnhna posort kgkgh ynf` corsnf`hutnf
poriu kgrolokgni/pof`nfynnf.
;.Lofoluhnf hoiolnanf knf hohurnf`nf prdsos polcoinenrnf
ynf` soknf` corinf`suf` `ufn porcnghnf rnfjnf`nf prdsos
polcoinenrnf corghutfyn.
?.Zocn`ng hdftrdi cn`g `uru knf sohdina toftnf` holneunf
porholcnf`nf posortn kgkgh.
Kninl loinhsnfnhnf prdsos pofgingnf hoins anrus
lolporantghnf rnlcu-rnlcufyn (hrgtorgn knf prgfsgp-prgfsgp
pofgingnf hoins).
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>.Hrgtorgn pofgingnf hoins
n.Rnigkgtns, nrtgfyn lofging npn ynf` soanrusfyn kgfging
kof`nf lof``ufnhnf nint ynf` sosung uftuh lof`uhur
hdlpotofsg.
c.Soigncgigtns, ani gfg corhngtnf kof`nf hdfsgstofsg (honeo`nf)
ansgi pofgingnf. ]ofgingnf soportg gfg loluf`hgfhnf
porcnfkgf`nf ynf` roigncoi knf lofenlgf hdfsgstofsg.
j.[orbdhus pnkn hdfsgstofsg, kninl poinhsnfnnf Hurghuiul
[gf`hnt Zntunf ]ofkgkghnf lnhn pofgingnf anrus torbdhus
pnkn pofjnpngnf hdlpotofsg knf cuhnf anfyn sohoknr
pof`unsnnf lntorg coinhn.
k.Hosoiuruanf/hdlproaofsgb, pofgingnf anrus lofyoiurua
kof`nf lof``u-fnhnf corcn`ng lotdko/tohfgh sortn jnrn
knf nint uftuh lofging corn`nl hdlpotofsg ntnu
holnlpunf posort kgkgh soagf``n knpnt lolcorg
`nlcnrnf sojnrn kotngi toftnf` holnlpunf/hdlpotofsg
posortn kgkgh.
o.Dceohtgvgtns, pofgingnf anrus kginhuhnf sojnrn dcyohtgb,
nkgi, torofjnfn, corhosgfnlcuf`nf knf lofornphnf
hrgtorgn ynf` eoins kninl pofoftunf shdr.
b. Lofkgkgh, pofgingnf kginhuhnf uftuh lolporcnghg prdsos
polcoinenrnf cn`g `uru sortn lofgf`hnthnf hunigtns ansgi
coinenr posortn kgkgh.
3.]rgfsgp-prgfsgp ]ofgingnf Hoins
n.Lolnfknf` pofgingnf knf ho`gntnf polcoinenrnf sojnrn
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