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7:.77:.7 NulkdalmsNulkdalms artaalgimsartaalgims 800800
Ml ias praoimegs hmi 7 gi >, hmeumstrm qum igs nulkdalms hghgsMl ias praoimegs hmi 7 gi >, hmeumstrm qum igs nulkdalms hghgs sal artaalgims ml mi dltmrvgia dlhdkgha.sal artaalgims ml mi dltmrvgia dlhdkgha. 7.7. nn 77 ((xx)) xx,, nn (^) ??((xx)) xx ?? 33 SS?, ?U?, ?U ?.?. nn 77 ((xx)) xx;;,, nn??((xx)) xx ??^ 7373 SS7, 7U7, 7U ;.;. nn 77 ((xx)) mmxx,, nn (^) ??((xx)) xmxmxx^ mmxx 33 S:,S:, ?U?U 8.8. nn 77
((xx)) kaskas xx,, nn ??
((xx)) smlsml??^ xx 33 S:,S:, ppUU =.=. nn 77 ((xx)) xx,, nn (^) ??((xx)) kas ?kas ?xx 33 SSpp/?,/?, pp/?U/?U >.>. nn 77 ((xx)) mmxx,, nn (^) ??((xx)) smlsml xx 33 SSpp/8, =/8, =pp/8U/8U
Ml ias praoimegs hmi 0 gi 7?, hmeumstrm qum kghg kalbulta hmMl ias praoimegs hmi 0 gi 7?, hmeumstrm qum kghg kalbulta hm nulkdalms ms artaalgi ml mi dltmrvgia dlhdkgha. Mlkumltrm ignulkdalms ms artaalgi ml mi dltmrvgia dlhdkgha. Mlkumltrm ig lareg hm kghg nulkdûl hmi kalbulta.lareg hm kghg nulkdûl hmi kalbulta. 0.0. {sml{sml xx,, sml ;sml ;xx,, sml =sml =xx,, …}3…}3 S:,S:, pp/?U/?U 6.6. {kas{kas xx,, kas ;kas ;xx,, kas =kas =xx,, …}3…}3 S:,S:, pp/?U/?U 4.4. {sml{sml lxlx},}, ll 7,7, ?,?, ;,;, …3…3 S:,S:, ppUU
7:.7:. (^) mmsmlsml
llpp pp xx nn,,^ ll^ ^ 7,7, ?,?, ;,;, …3…3^ S:,S:,^ ppUU
77.77. mm7, kas7, kas
llpp pp xx nn,, ll 7,7, ?,?, ;,;, …3…3 S:,S:, ppUU
7?.7?. mm
7, kas7, kas llpp pp xx, sml, sml eepp pp xx ,, ll (^) 7, ?, ;, …,7, ?, ;, …,
ee 7,7, ?,?, ;,;, …3…3 SSpp,, ppUU
Ml ias praoimegs 7; y 78, kaeprumom par dltmrgkdûl hdrmktgMl ias praoimegs 7; y 78, kaeprumom par dltmrgkdûl hdrmktg qum igs nulkdalms sal artaalgims rmspmkta g ig nulkdûl pmsaqum igs nulkdalms sal artaalgims rmspmkta g ig nulkdûl pmsa dlhdkghg ml mi dltmrvgia hgha.dlhdkghg ml mi dltmrvgia hgha. 7;.7;. FF::((xx)) 7,7, FF 77 ((xx)) ??xx,, FF??((xx)) 88 xx ??^ ?3?3 ww((xx)) mmxx^ ?? ,, ((qq,, qq)) 78.78. II::((xx)) 7,7, II 77 ((xx)) xx 7,7, II??((xx)) (^77) ?? xx??^ ??xx 7373 ww((xx)) mmxx,, S:,S:, qq)) 7=.7=. [mg {[mg {nnll((xx)} ul kalbulta artaalgi hm nulkdalms ml S)} ul kalbulta artaalgi hm nulkdalms ml S gg,, ooUU tgi qumtgi qum (^) nn::((xx)) (^) 7. Hmeumstrm qum7. Hmeumstrm qum (^) oogg nnll((xx)) (^) hxhx : pgrg: pgrg (^) ll 7, ?, ….7, ?, …. 7>.7>. [mg {[mg {nnll((xx)} ul kalbulta artaalgi hm nulkdalms ml S)} ul kalbulta artaalgi hm nulkdalms ml Sgg,, ooU tgiU tgi
qumqum (^) nn::((xx))
7 7 yy (^) nn^77 ((xx))
x.x. Hmeumstrm qumHmeumstrm qum (^)
oo gg (^) ((ggxx oo))nnll((xx)) hxhx :: pgrgpgrg ll ?, ;,?, ;, pp y pgrg kugiqudmr kalstgltmy pgrg kugiqudmr kalstgltm gg yy oo.. 70.70. [mg {[mg {nnll((xx)} ul kalbulta artaalgi hm nulkdalms ml S)} ul kalbulta artaalgi hm nulkdalms ml Sgg,, ooU.U. Hmeumstrm qumHmeumstrm qum nnee((xx)) nnll((xx))??^ nnee((xx))??^ nnll((xx))??,, ee ≪≪ l.l. 76.76. Hmi praoimeg 7 sgomeas qumHmi praoimeg 7 sgomeas qum nn 77 ((xx)) xx yy nn??((xx)) xx??^ sal arta-sal arta- algims ml Salgims ml S?, ?U. Hmtmredlm igs kalstgltms?, ?U. Hmtmredlm igs kalstgltms kk 77 yy kk?? tgims qumtgims qum nn;;((xx)) xx kk 77 xx??^ kk??xx;;^ smg artaalgi gsmg artaalgi g nn 77 yy nn?? ml mi edseaml mi edsea dltmrvgia.dltmrvgia. 74.74. Mi kalbulta hm nulkdalms {smlMi kalbulta hm nulkdalms {sml lxlx},}, ll 7, ?, ;, …, ms arta-7, ?, ;, …, ms arta- algi ml mi dltmrvgia Salgi ml mi dltmrvgia Spp,, (^) ppU. Hmeumstrm qum mi kalbulta mstçU. Hmeumstrm qum mi kalbulta mstç dlkaepimta.dlkaepimta. ?:.?:. [upalg qum[upalg qum nn 77 ,, nn?? yy nn;; sal nulkdalms kaltdlugs ml mi dltmrvgiasal nulkdalms kaltdlugs ml mi dltmrvgia SSgg,, ooU. Hmeumstrm qum (U. Hmeumstrm qum ( nn 77 nn??,, nn;;)) (( nn 77 ,, nn;;)) (( nn??,, nn;;).). ?7.?7. [m hdkm qum ulg nulkdûl kal vgiarms rmgims ms[m hdkm qum ulg nulkdûl kal vgiarms rmgims ms pmrdûhdkgpmrdûhdkg kalkal pmrdahapmrdaha XX sdsd nn ((xx XX)) nn ((xx). Zar mbmepia, 8). Zar mbmepia, 8pp ms ul pmrdahams ul pmrdaha hm smlhm sml xx yg qum sml (yg qum sml ( xx 88 pp)) smlsml xx. Mi vgiar eçs pmqum÷a hm. Mi vgiar eçs pmqum÷a hm XX pgrg mi qumpgrg mi qum nn ((xx XX)) nn ((xx) ms vçidhg sm iigeg) ms vçidhg sm iigeg pmrdahapmrdaha
nulhgemltginulhgemltgi hmhm nn. Zar mbmepia, mi pmrdaha nulhgemltgi hm. Zar mbmepia, mi pmrdaha nulhgemltgi hm nn ((xx))^ ^ smlsml^ xx msms^ XX ^ ??pp. ±Kuçi ms mi pmrdaha nulhgemltgi. ±Kuçi ms mi pmrdaha nulhgemltgi hm kghg ulg hm igs nulkdalms sdudmltms1hm kghg ulg hm igs nulkdalms sdudmltms gg)) nn ((xx)) kas ?kas ?ppxx
oo)) nn ((xx)) smlsml
88 II
xx
kk)) nn ((xx)) smlsml xx sml ?sml ?xx hh)) nn ((xx)) sml ?sml ?xx kas 8kas 8xx mm)) nn ((xx)) sml ;sml ;xx kas ?kas ?xx
nn )) nn ((xx)) GG:: (^) gg
qq
ll == 77
ggGGll kaskas
llpp pp xx 77 OOll smlsml
llpp pp xxoo,, GGll yy OOll
hmpmlhml saigemltm hmhmpmlhml saigemltm hm ll.. ??.??. MiMi prakmsaprakmsa @rge-[kfedht@rge-[kfedht pgrg ig kalstrukkdûl hm ul kal-pgrg ig kalstrukkdûl hm ul kal- bultabulta artaaartaalgilgi (kalsu(kalsuitmitm igig smkkdsmkkdûlûl 76.0)76.0) laslas iimvgiimvg gg ulul kalbulta idlmgiemltm dlhmpmlhdmltm {kalbulta idlmgiemltm dlhmpmlhdmltm { nn::((xx),), nn 77 ((xx),), nn??((xx),), pp} hm} hm nulkdalms kaltdlugs kal vgiarms rmgims ml mi dltmrvgia Snulkdalms kaltdlugs kal vgiarms rmgims ml mi dltmrvgia Sgg,, ooU.U. Kal mi prahukta dltmrdar (Kal mi prahukta dltmrdar ( nnll,, nnll)) ggoo nnll((xx))nnll((xx))hxhx, hmndlg, hmndlg igs nulkdalms prmsmltms ml mi kalbultaigs nulkdalms prmsmltms ml mi kalbulta OO {{nn::((xx),), nn 77 ((xx),), nn??((xx),), pp} kaea} kaea
nn:: 77 xx?? == nn:: 77 xx??
nn 7777 xx?? == nn 7777 xx?? ??
77 nn 77 ,, nn::??
77 nn::,, nn::??
nn:: 77 xx??
nn?? 77 xx?? == nn?? 77 xx?? ??
77 nn??,, nn::??
77 nn::,, nn::??
nn:: 77 xx?? ??
77 nn??,, nn 77 ??
77 nn 77 ,, nn 77 ??
nn 7777 xx??
aa aa
y gså sukmsdvgemltm.y gså sukmsdvgemltm. gg)) MskrdogMskrdog nn;;((xx) pmrtmlmkdmltm gi kalbulta.) pmrtmlmkdmltm gi kalbulta. oo)) Zar kalstrukkdûl, mi kalbultaZar kalstrukkdûl, mi kalbulta OO {{nn::((xx),), nn 77 ((xx),), nn??((xx),), pp} ms artaalgi ml S} ms artaalgi ml Sgg,,^ ooU. Hmeumstrm qumU. Hmeumstrm qum^ nn::((xx),),nn 77 ((xx) y) y nn??((xx) sal eutugemltm artaalgims.) sal eutugemltm artaalgims.
Zraoimegs hm glçidsdsZraoimegs hm glçidsds ?;.?;. gg)) Kalsdhmrm mi kalbulta hm nulkdalms {7,Kalsdhmrm mi kalbulta hm nulkdalms {7, xx,, xx??,, xx;;,, pp} hmnd-} hmnd- ldha ml mi dltmrvgia Sldha ml mi dltmrvgia S7, 7U. Gpidqum g mstm kalbulta mi7, 7U. Gpidqum g mstm kalbulta mi prakmsa hm @rge-[kfedht qum sm hda ml mi praoimeg ??prakmsa hm @rge-[kfedht qum sm hda ml mi praoimeg ?? y mlkumltrmy mlkumltrm nn::((xx),), nn 77 ((xx),), nn??((xx) y) y nn;;((xx) hmi kalbulta arta-) hmi kalbulta arta- algialgi OO.. oo)) Glgidkm2 ±_mkalakm mi kalbulta artaalgi1Glgidkm2 ±_mkalakm mi kalbulta artaalgi ?8.?8. Kaeprumom qum mi prahukta dltmrdar (Kaeprumom qum mi prahukta dltmrdar ( nn 77 ,, nn??) hm ig hmndldkdûl) hm ig hmndldkdûl 7:.7.7 sgtdsngkm igs prapdmhghms7:.7.7 sgtdsngkm igs prapdmhghms dd)) gg dvdv) rmigkdalghgs ml ig) rmigkdalghgs ml ig pçdlg 80;.pçdlg 80;. ?=.?=. MlMl __;;, hä ul mbmepia hm ul kalbulta hm vmktarms, hä ul mbmepia hm ul kalbulta hm vmktarms artaalgimsartaalgims qum la mstä kaepimta. Zraparkdalm ul kalbulta kaepimta hmqum la mstä kaepimta. Zraparkdalm ul kalbulta kaepimta hm vmktarms artaalgims.vmktarms artaalgims.
7:.77:.7 (^) MbmrkdkdasMbmrkdkdas Igs rmspumstgs g ias praoimegs depgrms smimkkdalghas kaedmlzgl ml ig pçdlg _M[Z-?7.Igs rmspumstgs g ias praoimegs depgrms smimkkdalghas kaedmlzgl ml ig pçdlg _M[Z-?7.
86?86? KGZÅX]IA 7:KGZÅX]IA 7: Nulkdalms artaalgimsNulkdalms artaalgims y smrdmsy smrdms hm Naurdmrhm Naurdmr
Ml ias praoimegs hmi 7 gi 7>, mlkumltrm ig smrdm hm Naurdmr hmMl ias praoimegs hmi 7 gi 7>, mlkumltrm ig smrdm hm Naurdmr hm (^) nn ml mi dltmrvgia hgha.ml mi dltmrvgia hgha.
7.7. nn 77 xx?? == mm
:,:, ??pp ,, xx ,, :: 7,7, :: ## xx ,, pp
?.?. nn 77 xx?? ==
mm
??7,7, ??pp ,, xx ,, :: ?,?, :: ## xx
,, pp
;.;. nn 77 xx?? ==
mm
7,7, ?? 77 ,, xx ,, :: xx,, :: ## xx ,, 77
8.8. nn 77 xx?? == mm
:,:, ?? 77 ,, xx ,, :: xx,, :: ## xx ,, 77
=.=. nn 77 xx?? == mm
:,:, ??pp ,, xx ,, :: xx??,, :: ## xx ,, pp
>.>. nn 77 xx?? == mm
pp??,, ??pp ,, xx ,, :: pp??^ ?? xx??,, ??:: ## xx ,, pp 0.0. nn 77 xx?? == xx 77 pp,, ??pp ,, xx ,, pp 6.6. nn 77 xx?? == ;; ?? ??xx,, ??pp ,, xx ,, pp
4.4. nn 77 xx?? == mm
:,:, ??pp ,, xx ,, :: smlsml xx,, ?? :: ## xx ,, pp
7:.7:. nn^77 xx??^
==
mm
:,:, ??pp
?? ,, xx ,, :: kaskas xx,, ??
??:: ##^ xx ,,^ pp
??
77.77. nn 77 xx?? == ½½
:,:, ???? ,, xx ,, ?? 77 ???,?, ?? 77 ## xx ,, :: 7,7, :: ## (^) xx ,, 77 :,:, 77 ## xx ,, ??
7?.7?. nn 77 xx?? == • •
:,:, ???? ,, xx ,, :: xx,, ?? :: ## xx ,, 77 7,7, ?? 77 ## xx ,, ??
7;.7;. nn 77 xx?? ==^ mm
7,7, ??== ,, xx ,, :: 77 77 xx,, ??:: ## xx ,, ==
78.78. nn 77 xx?? == mm
?? 77 xx,, ???? ,, xx ,, :: ?,?, ??:: ## xx ,, ??
7=.7=. nn 77 xx?? == mm xx,, ??pp ,, xx ,, pp
7>.7>. nn 77 xx?? == mm
:,:, ??pp ,, xx ,, :: mm xx^ ?? 7,7, ?? :: ## xx ,, pp 70.70. ]tdidkm mi rmsuitgha hmi praoimeg = pgrg hmeastrgr qum]tdidkm mi rmsuitgha hmi praoimeg = pgrg hmeastrgr qum
yy
pp
??
>>
== 77 77 77 ????^
77 77 ;;??^
77 77 88 ??^
77 pp
pp?? 7?7?
== 77 ??
77 ????^
77
77 ;;??^
??
77 88 ??^
77 pp^ ..
76.76. ]tdidkm mi praoimeg 70 pgrg kgikuigr ulg smrdm qum praparkdalm]tdidkm mi praoimeg 70 pgrg kgikuigr ulg smrdm qum praparkdalm mi vgiar lueärdka hmmi vgiar lueärdka hm pp??/6./6. 74.74. ]tdidkm mi rmsuitgha hmi praoimeg 0 y hmeumstrm qum]tdidkm mi rmsuitgha hmi praoimeg 0 y hmeumstrm qum pp 88
== 77 ??
77 ;;
77
77
??
77 00
77 pp^ ..
?:.?:. ]tdidkm mi rmsuitgha hmi praoimeg 4 pgrg hmeastrgr qum]tdidkm mi rmsuitgha hmi praoimeg 4 pgrg hmeastrgr qum pp 88
==
77 ??
77
77 77 ;;
??
77 ;; ==
77
77 == 00
??
77 00 44
77 pp^ ..
?7.?7. MiMi^ vgiar kughrçtdka emhdavgiar kughrçtdka emhda^ (_E[, par sus sdigs ml dliäs)(_E[, par sus sdigs ml dliäs) hm ulg nulkdûlhm ulg nulkdûl nn ((xx) hmndldhg ml ul dltmrvgia () hmndldhg ml ul dltmrvgia (gg,, oo) mstç hgha) mstç hgha parpar
_E[_E[ 77 nn ?? ==
ÄÄ
mm oo gg nn^
?? 77 xx?? hxhx
oo ?? gg
..
[d mi hmsgrraiia hm ig smrdm hm Naurdmr hm[d mi hmsgrraiia hm ig smrdm hm Naurdmr hm nn mstç hghg par (6),mstç hghg par (6), hmeumstrm qum mi vgiar _E[ hmhmeumstrm qum mi vgiar _E[ hm nn ml mi dltmrvgia (ml mi dltmrvgia (pp,, pp) mstç) mstç hgha parhgha par
_E[_E[ 77 nn ?? ==
ÍÍ
77 88 gg
?? :: 77
77 ?? (^) gg
qq
ll == 77
77 gg?? ll 77 oo?? ll ?? ,,
halhmhalhm gg::,, ggll yy ooll sal ias kamndkdmltms hm Naurdmr ml (4), (7:)sal ias kamndkdmltms hm Naurdmr ml (4), (7:) y (77).y (77).
7:.?7:.? (^) MbmrkdkdasMbmrkdkdas Igs rmspumstgs gIgs rmspumstgs g ias praoimegs depgrms smimkkdalghas kaedmlzgl ml ig pçdlg _M[Z-?7.ias praoimegs depgrms smimkkdalghas kaedmlzgl ml ig pçdlg _M[Z-?7.
_mpgsa_mpgsa Mi msnumrza qumMi msnumrza qum sm iimvgsm iimvg g kgoag kgoa ml igml ig mvgiugkdûl hmmvgiugkdûl hm ias kamndkdmltmsias kamndkdmltms gg::,, ggll yy ooll gi hmsgrraiigr ulg nulkdûlgi hmsgrraiigr ulg nulkdûl nn ml ulg smrdm hm Naurdmr sm rmhukm hm eglmrg sdldndkgtdvg kuglhaml ulg smrdm hm Naurdmr sm rmhukm hm eglmrg sdldndkgtdvg kuglha nn ms ulg nulkdûl pgr a depgr. [m hdkm qum ulg nulkdûlms ulg nulkdûl pgr a depgr. [m hdkm qum ulg nulkdûl nn ms2ms
pgrpgr sdsd nn ((xx)) nn ((xx)) mm depgrdepgr sdsd nn ((xx)) nn ((xx))..
Ml ul dltmrvgia sdeätrdka tgi kaea (Ml ul dltmrvgia sdeätrdka tgi kaea (pp,, pp), ig rçndkg hm ulg nulkdûl pgr tdmlm sdemtråg rms-), igrçndkg hm ulg nulkdûl pgr tdmlm sdemtråg rms- pmkta gi mbmpmkta gi mbm yy, edmltrgs qum ig rçndkg hm ulg nulkdûl depgr tdmlm sdemtråg ml rmigkdûl kal mi, edmltrgs qum igrçndkg hm ulg nulkdûl depgr tdmlm sdemtråg ml rmigkdûl kal mi ardml.ardml.
hmi fmkfa hm qum igs rçndkgs hm igs nulkdalms paidlaedgims qum kalsdstml mlhmi fmkfa hm qum igsrçndkgs hm igs nulkdalms paidlaedgims qum kalsdstml ml tahgs igs patml-^ Nulkdalms pgr m depgrNulkdalms pgr m depgr^ MsMs praogoimpraogoim qumqum mimi ardmlardml hmhm igsigs pgigorgspgigorgs^ pgrpgr^ mm^ depgrdepgrtahgs igs patml-^ pravmlgpravmlg kdgs pgrms hmkdgs pgrms hm xx smgl sdeätrdkgs rmspmkta gi mbmsmgl sdeätrdkgs rmspmkta gi mbm yy, edmltrgs qum igs rçndkgs hm paidlaedas, edmltrgs qum igsrçndkgs hm paidlaedas
7:.;7:.; [mrdms[mrdms hmhm NaurdmrNaurdmr hmhm kasmlaskasmlas yy smlassmlas
866866 KGZÅX]IA 7:KGZÅX]IA 7: Nulkdalms artaalgimsNulkdalms artaalgims y smrdmsy smrdms hm Naurdmrhm Naurdmr
7?.7?. nn 77 xx?? == • •
7,7, ???? ,, xx ,, ?? 77 :,:, ?? 77 ,, xx ,, 77 7,7, ?? 77 ,, xx ,, ?? 7;.7;. nn ((xx)) ||xx|,|, pp xx pp 78.78. nn ((xx)) xx,, pp xx pp 7=.7=. nn ((xx)) xx ??,, 77 xx 77 7>7>.. nn ((xx)) xx||xx|,|, 77 xx 77 70.70. nn ((xx)) pp??^ xx ??,, pp xx pp 76.76. nn ((xx)) xx ;;,, pp xx pp
74.74. nn 77 xx?? == mm
xx ?? 7,7, ??pp ,, xx ,, :: xx 77 7,7, :: ## xx ,, pp
?:.?:. nn^77 xx??^ ==
mm
xx 77 7,7, ?? 77 ,, xx ,, :: xx ?? 7,7, :: ## xx ,, 77
?7.?7. nn 77 xx?? == ½½
7,7, ???? ,, xx ,, ?? 77 ??xx,, ?? 77 ## xx ,, ::?? xx,, ??:: ## xx ,, 77 ?? 7,7, ?? 77 ## xx ,, ????
??.??. nn 77 xx?? == • •
??pp,, ????pp ,, xx ,, ??pp xx,, ??pp ## xx ,, pp?? pp,, ????pp ## xx ,, ??pp ?;.?;. nn ((xx)) |sml|sml xx|,|, pp xx pp ?8.?8. nn ((xx)) kaskas xx,, pp/?/? xx pp/?/?
Ml ias praoimegs hmi ?= gi ;8, hmtmredlm ias hmsgrraiias kasmlaMl ias praoimegs hmi ?= gi ;8, hmtmredlm ias hmsgrraiias kasmla y smla hm smeddltmrvgia pgrg ig nulkdûl praparkdalghg.y smla hm smeddltmrvgia pgrg ig nulkdûl praparkdalghg.
?=.?=. nn^77 xx??^ ==
mm
7,7, :: ,, xx ,, (^77) ?? :,:, (^77) ?? ## xx ,, 77
?>.?>. nn 77 xx?? == mm
:,:, :: ,, xx ,, (^77) ?? 7,7, (^77) ?? ## xx ,, 77 ?0.?0. nn ((xx)) kaskas xx,, :: xx pp/?/? ?6.?6. nn ((xx)) smlsml xx,, :: xx pp
?4.?4. nn 77 xx?? == mm
xx,, <.;>. nn ((xx))^ ^ xx,,^ ::^ ^ xx ^ pp ;0.;0. nn ((xx)) xx 7, :7, : xx 77 ;6.;6. nn ((xx)) ?? xx,, :: xx ??
Ml ias praoimegs ;4 y 8:, prakmhg kaea ml mi mbmepia 8 pgrgMl ias praoimegs ;4 y 8:, prakmhg kaea ml mi mbmepia 8 pgrg kgikuigr ulg saiukdûl pgrtdkuigrkgikuigr ulg saiukdûl pgrtdkuigr xxpp((tt) hm ig mkugkdûl (77) kuglha) hm ig mkugkdûl (77) kuglha ee 7,7, cc 7: y ig numrzg kalhuktarg7: y ig numrzg kalhuktarg nn ((tt) ms ig qum sm prapar-) ms ig qum sm prapar- kdalg. [upalg qum gi mxtmlhmrsmkdalg. [upalg qum gi mxtmlhmrsm nn ((tt) gi mbm) gi mbm tt lmgtdva ml nareglmgtdva ml nareg pmrdûhdkg, ig nulkdûl rmsuitgltm ms depgr.pmrdûhdkg, ig nulkdûl rmsuitgltm ms depgr.
;4.;4. nn 77 xx?? ==
mm
??=,=, :: ,, tt ,, pp ??=,=, pp ,, tt ,, ??pp
33 nn 77 tt 77 ??pp?? == nn 77 tt??
8:.8:. nn^ ((tt))^ ^77 ^ tt,,^ ::^ ^ tt^ ^ ?3?3^ nn^ ((tt^ ^ ?)?)^ ^ nn^ ((tt)) Ml ias praoimegs 87 y 8?, prakmhg kaea ml mi mbmepia 8 pgrgMl ias praoimegs 87 y 8?, prakmhg kaea ml mi mbmepia 8 pgrg kgikuigr ulg saiukdûl pgrtdkuigrkgikuigr ulg saiukdûl pgrtdkuigr xxpp((tt) hm ig mkugkdûl (77) kuglha) hm ig mkugkdûl (77) kuglha
ee 7788 ,, cc 7?, y ig numrzg kalhuktarg7?, y ig numrzg kalhuktarg nn ((tt) ms kaea sm dlhdkg.) ms kaea sm dlhdkg. [upalg qum gi mxtmlhmrsm[upalg qum gi mxtmlhmrsm nn ((tt) gi mbm) gi mbm tt lmgtdva hm eglmrg pmrdû-lmgtdva hm eglmrg pmrdû- hdkg, ig nulkdûl rmsuitgltm ms pgr.hdkg, ig nulkdûl rmsuitgltm ms pgr. 87.87. nn ((tt)) ??pptt tt ??, :, : tt ??pp 33 nn ((tt ??pp)) nn ((tt))
8?.8?. nn 77 xx?? == mm
tt,,^ ::^ ,,^ tt ,,^77 ?? 77 ?? tt,, (^77) ?? ,, tt ,, 77
33 nn 77 tt 77 77 ?? == nn 77 tt??
8;.8;. gg)) _msumivg ig mkugkdûl hdnmrmlkdgi hmi praoimeg ;4,_msumivg ig mkugkdûl hdnmrmlkdgi hmi praoimeg ;4, xx 7:7:xx nn ((tt), submtg g igs kalhdkdalms dldkdgims), submtg g igs kalhdkdalms dldkdgims xx (:)(:) :,:, xx(:)(:) :.:. oo)) ]tdidkm ul KG[ pgrg trgzgr ig rçndkg hm ig saiukdûl]tdidkm ul KG[ pgrg trgzgr igrçndkg hm ig saiukdûl xx((tt)) hmtmredlghg ml mi dlkdsahmtmredlghg ml mi dlkdsa gg).). 88.88. gg)) _msumivg ig mkugkdûl hdnmrmlkdgi hmi praoimeg 87,_msumivg ig mkugkdûl hdnmrmlkdgi hmi praoimeg 87, 7788 xx 7?7?xx nn ((tt), submtg g igs kalhdkdalms dldkdgims), submtg g igs kalhdkdalms dldkdgims xx (:)(:) 7,7, xx(:)(:) :.:. oo))^ ]tdidkm ul KG[ pgrg trgzgr ig rçndkg hm ig saiukdûl]tdidkm ul KG[ pgrg trgzgr igrçndkg hm ig saiukdûl^ xx((tt)) hmtmredlghg ml mi dlkdsahmtmredlghg ml mi dlkdsa gg).). 8=.8=. [upalg qum ulg vdg uldnarem hm ialdtuh[upalg qum ulg vdg uldnarem hm ialdtuh II sm mlkumltrgsm mlkumltrg sapartghg mlsapartghg ml xx : y ml: y ml xx II. [d ig kgrg par uldhgh hm. [d ig kgrg par uldhgh hm ialdtuh mstç hghg parialdtuh mstç hghg par ww((xx)) ww:: xx//II,, :: xx II,, mltalkms igmltalkms ig mkugkdûl hdnmrmlkdgi hm ig hmnimxdûlmkugkdûl hdnmrmlkdgi hm ig hmnimxdûl yy((xx) ms) ms
MDMD
hh^88 yy hxhx^88
==
ww:: xx II
halhmhalhm MM,, DD yy ww:: sal kalstgltms.sal kalstgltms. gg)) HmsgrraiimHmsgrraiim ww((xx) ml ulg smrdm hm smlas hm smeddltmrvgia.) ml ulg smrdm hm smlas hm smeddltmrvgia. oo)) ]tdidkm mi eätaha hmi mbmepia 8 pgrg kgikuigr ulg saiu]tdidkm mi eätaha hmi mbmepia 8 pgrg kgikuigr ulg saiukdûlkdûl pgrtdkuigrpgrtdkuigr yy((xx) hm ig mkugkdûl hdnmrmlkdgi.) hm ig mkugkdûl hdnmrmlkdgi. 8>.8>. Zrakmhg dugi qum ml mi praoimeg 8= pgrg kgikuigr ulg saiu-Zrakmhg dugi qum ml mi praoimeg 8= pgrg kgikuigr ulg saiu- kdûl pgrtdkuigrkdûl pgrtdkuigr (^) yy((xx) kuglha ig kgrg par uldhgh hm ialdtuh) kuglha ig kgrg par uldhgh hm ialdtuh mstç hghg kaea dlhdkg igmstç hghg kaea dlhdkg ig ND@]_G 7:.;.7;ND@]_G 7:.;.7;..
II /;/; ??II /;/; II
xx
ww((xx)) ww::
ND@]_G 7:.;.7;ND@]_G 7:.;.7; @rçndkg pgrg@rçndkg pgrg mi praoimegmi praoimeg 8>8>
XXgrmgs pgrg migrmgs pgrg mi igoargtarda hm kûeputaigoargtarda hm kûeputa Ml ias praoimegs 80 y 86, emhdgltm mi usa hm ul KG[, rgndqumMl ias praoimegs 80 y 86, emhdgltm mi usa hm ul KG[,rgndqum igs suegs pgrkdgims {igs suegs pgrkdgims {[[LL ((xx)} hm ig smrdm trdalaeätrdkg hghg.)} hm ig smrdm trdalaeätrdkg hghg. Mxpmrdemltm kal hdnmrmltms vgiarms hmMxpmrdemltm kal hdnmrmltms vgiarms hm LL y kal rçndkgs ml dltmr-y kalrçndkgs ml dltmr- vgias hdstdltas hmi mbmvgias hdstdltas hmi mbm xx. ]tdidkm sus rçndkgs pgrg nareuigr ulg. ]tdidkm susrçndkgs pgrg nareuigr ulg mxprmsdûl hm nareg kmrrghg pgrg ulg nulkdûlmxprmsdûl hm nareg kmrrghg pgrg ulg nulkdûl nn hmndldhg par :hmndldhg par : xx II qum mstä rmprmsmltghg par igs smrdms.qum mstä rmprmsmltghg par igs smrdms.
80.80.
86.86. nn 77 xx?? == ??
77
pp??^ gg
qq
ll == 77
ll??^
gg 77 ?? kaskas
llpp ??
oo kaskas
llpp ??
xx
nn 77 xx?? == ??
pp 88
(^77) gg
qq
ll == 77
kk
77 ?? 77 ?? ll^ ?? 77
ll??pp
kaskas lxlx 77
77 ?? ?? 77 ?? 77 ?? ll
ll smlsml lxlx__
Zraoimegs hm glçidsdsZraoimegs hm glçidsds 84.84. ±[u rmspumstg g ias praoimegs 80 a±[u rmspumstg g ias praoimegs 80 a 86 ms òldkg1 Zraparkdalm86 ms òldkg1 Zraparkdalm ulg nulkdûlulg nulkdûl nn hmndldhg ml ul dltmrvgia sdeätrdka rmspmkta gihmndldhg ml ul dltmrvgia sdeätrdka rmspmkta gi ardmlardml gg xx gg qum tmlg ig edseg smrdm trdalaeätrdkgqum tmlg ig edseg smrdm trdalaeätrdkg kaea ml mi praoimeg 803 y atrg kaea ml mi praoimeg 86.kaea ml mi praoimeg 803 y atrg kaea ml mi praoimeg 86.
7:.87:.8 [mrdms kaepimbgs[mrdms kaepimbgs hm Naurdmrhm Naurdmr 864864
DltrahukkdûlDltrahukkdûl Xgi kaea fmXgi kaea fmeas pahdhaeas pahdha aosmrvgr mlaosmrvgr ml igs hasigs has smkkdalmssmkkdalms gltmrdarms,gltmrdarms, ulgulg nulkdûl rmginulkdûl rmgi nn pumhm rmprmsmltgrsm emhdgltm ulg smrdm hmpumhm rmprmsmltgrsm emhdgltm ulg smrdm hm smlas y kasmlas. Igs nulkdalms kassmlas y kasmlas. Igs nulkdalms kas lxlx,, ll :, 7, ?,:, 7, ?, pp y smly sml lxlx,, ll 7, ?,7, ?, pp sal nulkdalms kalsal nulkdalms kal vgiarms rmgimsvgiarms rmgims hm ulg vgrdgoim rmgihm ulg vgrdgoim rmgi xx. Igs trms naregs rmgims hdnmrmltms hm ig smrdm hm Naurdmr praparkdalghgs ml igs hmndldkdalms. Igs trms naregs rmgims hdnmrmltms hm ig smrdm hm Naurdmr praparkdalghgs ml igs hmndldkdalms 7:.?.7 y 7:.;.7 smrçl7:.?.7 y 7:.;.7 smrçl hm sdldndkgtdvg departglkdg ml ias kgpåtuias pastmrdarms, kuglha kaeml-hm sdldndkgtdvg departglkdg ml ias kgpåtuias pastmrdarms, kuglha kaeml-
kmeas g rmsaivmr mkugkdalms hdnmrmlkdgims idlmgims pgrkdgims. [dlkmeas g rmsaivmr mkugkdalms hdnmrmlkdgims idlmgims pgrkdgims. [dl meogra, ml kdmrtgs gpidkg-meogra, ml kdmrtgs gpidkg- kdalms, par mbmepia, ml mi glçidsds hm sm÷gims pmrdûhdkgs prgktdkgha ml dlmldmråg miäktrdkg,kdalms, par mbmepia, ml mi glçidsds hm sm÷gims pmrdûhdkgs prgktdkgha ml dlmldmråg miäktrdkg, rmgiemltm kalvdmlm eçs rmprmsmltgr ulg nulkdûlrmgiemltm kalvdmlm eçs rmprmsmltgr ulg nulkdûl nn ml ulg smrdm dlndldtg hm nulkdalms kalml ulg smrdm dlndldtg hm nulkdalms kal vgiarms kaepimbasvgiarms kaepimbas hm ulg vgrdgoim rmgihm ulg vgrdgoim rmgi xx kaea igs nulkdalms mxpalmlkdgimskaea igs nulkdalms mxpalmlkdgims mmdlxdlx,, ll :, 7, ?,:, 7, ?, pp, y halhm, y halhm dd ms ig uldhgh degdlgrdg hmndldhg parms ig uldhgh degdlgrdg hmndldhg par dd??^ 7. _mkumrhm qum pgrg ul lòemra7. _mkumrhm qum pgrg ul lòemra
rmgirmgi xx, ig nûreuig hm Muimr ms, ig nûreuig hm Muimr ms
mmdxdx^ kaskas xx dd smlsml xx laslas hghg mmdxdx^ kaskas xx dd smlsml x.x. (7)(7)
Ml mstg smkkdûl vgeas g utdidzgr ias rmsuitghas hm (7) pgrg mxprmsgr ig smrdm hm Naurdmr hm igMl mstg smkkdûl vgeas g utdidzgr ias rmsuitghas hm (7) pgrg mxprmsgr ig smrdm hm Naurdmr hm ig
hmndldkdûl 7:.?.7 mlhmndldkdûl 7:.?.7 ml nareg kaepimbgnareg kaepimbg aa nareg mxpalmlkdginareg mxpalmlkdgi. Aosmrvgrmeas qum ms pasdoim. Aosmrvgrmeas qum ms pasdoim rmprmsmltgr ulg nulkdûl rmgi emhdgltm ulg smrdm kaepimbg3 ms hmkdr, ulg smrdm halhm ias kamnd-rmprmsmltgr ulg nulkdûl rmgi emhdgltm ulg smrdm kaepimbg3 ms hmkdr, ulg smrdm halhm ias kamnd- kdmltms smgl lòemras kaepimbas. Zgrg iargr hdkfa aobmtdkdmltms smgl lòemras kaepimbas. Zgrg iargr hdkfa aobmtdva, rmkumrhm qum ul lòemra kaepimbava, rmkumrhm qum ul lòemra kaepimba ms ul lòemrams ul lòemra zz gg dodo, halhm, halhm gg yy oo sal lòemras rmgims msal lòemras rmgims m dd??^ 7. Mi lòemra7. Mi lòemra zz gg dodo sm iigeg kalbugha hmsm iigeg kalbugha hm zz..
[mrdms kaepimbgs hm Naurdmr[mrdms kaepimbgs hm Naurdmr [d prdemra[d prdemra suegeassuegeas igsigs hashas mxprmsdalmsmxprmsdalms hmhm (7) y(7) y hmspmbg-hmspmbg- eas kaseas kas xx, y pastmrdaremltm sustdtudeas igs has mxprmsdalms y hmspmbgeas sml, y pastmrdaremltm sustdtudeas igs has mxprmsdalms y hmspmbgeas sml xx, iimgeas gi, iimgeas gi
rmsuitgharmsuitgha
kaskas xx ==
mmdxdx^77 mm??dxdx ??
yy smlsml xx ==
mmdxdx^ ?? mm??dxdx ??dd
Gi utdidzgr (?) pgrg rmmepigzgr kas (Gi utdidzgr (?) pgrg rmmepigzgr kas (llppxx//pp) y sml () y sml (llppxx//pp) ml (6) hm ig smkkdûl 7:.?, ig smrdm) ml (6) hm ig smkkdûl 7:.?, ig smrdm hm Naurdmr hm ulg nulkdûlhm Naurdmr hm ulg nulkdûl nn pumhm mskrdodrsm kaeapumhm mskrdodrsm kaea
gg:: ??
(^77) gg
qq
ll == 77
kk
ggll
mmdldlppxx<
