7.- ½Ke imoikptm bk rkegiaùo bk vuketgs bk uo trgosnmrcgbmr ks a`uge ge imoikptm bk 7.- ½Ke imoikptm bk rkegiaùo bk vuketgs bk uo trgosnmrcgbmr ks a`uge ge imoikptm bk rkegiaùo bk vmetgdks g trgvás bke trgosnmrcgbmr= Kxpeaquk eg rkspukstg.
rkegiaùo bk vmetgdks g trgvás bke trgosnmrcgbmr= Kxpeaquk eg rkspukstg.
Ya pmrquk ke vmetgdk pracgram igusgbm pmr ke neudm cutum y ke vmetgdk skiuobgram Ya pmrquk ke vmetgdk pracgram igusgbm pmr ke neudm cutum y ke vmetgdk skiuobgram igusgbm pmr ke neudm cutum ks a`uge g eg rkegiaùo bk vuketgs bke trgosnmrcgbmr. Q kstç igusgbm pmr ke neudm cutum ks a`uge g eg rkegiaùo bk vuketgs bke trgosnmrcgbmr. Q kstç bgbm pmr em sa`uakotk4 bgbm pmr em sa`uakotk4 77 :: 33 77 :: 3 3
:.- ½\mr quá eg iurvg bk cg`oktazgiaùo acpmok uo eãcatk supkramr ge vmetgdk gpeaigbm :.- ½\mr quá eg iurvg bk cg`oktazgiaùo acpmok uo eãcatk supkramr ge vmetgdk gpeaigbm g uo oôiekm bk trgosnmrcgbmr=
g uo oôiekm bk trgosnmrcgbmr=
\mrquk uog vkz quk ke paim bke neudm geigozg ke puotm bk sgturgiaùo ko ke oôiekm, uo \mrquk uog vkz quk ke paim bke neudm geigozg ke puotm bk sgturgiaùo ko ke oôiekm, uo pkquk÷m aoirkckotm ko ke neudm paim rkquakrk uo aoirkckotm cuy `rgobk ko eg pkquk÷m aoirkckotm ko ke neudm paim rkquakrk uo aoirkckotm cuy `rgobk ko eg imrrakotk bk cg`oktazgiaùo.
imrrakotk bk cg`oktazgiaùo.
9.- ½Wuá imcpmokotks imonmrcgo eg imrrakotk bk kxiatgiaùo bk uo trgosnmrcgbmr= 9.- ½Wuá imcpmokotks imonmrcgo eg imrrakotk bk kxiatgiaùo bk uo trgosnmrcgbmr= ½Iùcm sk sacuego ko ke iariuatm kquavgekotk bke trgosnmrcgbmr=
½Iùcm sk sacuego ko ke iariuatm kquavgekotk bke trgosnmrcgbmr= Eg imrrakotk bk cg`oktazgiaùo a
Eg imrrakotk bk cg`oktazgiaùo acc, rkqukrabg pgrg prmbuiar ke neudm ko ke oôiekm bke, rkqukrabg pgrg prmbuiar ke neudm ko ke oôiekm bke
trgosnmrcgbmr, y eg imrrakotk bk párbabgs ko ke oôiekm a
trgosnmrcgbmr, y eg imrrakotk bk párbabgs ko ke oôiekm ah+kh+k, rkqukrabg pmr ke nkoùckom, rkqukrabg pmr ke nkoùckom
bk hastárksas y pmr egs imrrakotks pgrçsatgs. Eg imrrakotk bk cg`oktazgiaùo ks bk hastárksas y pmr egs imrrakotks pgrçsatgs. Eg imrrakotk bk cg`oktazgiaùo ks prmpmriamoge (ko su rk`aùo om sgturgbg) ge vmetgdk gpeaigbm ge oôiekm y gtrgsg ke prmpmriamoge (ko su rk`aùo om sgturgbg) ge vmetgdk gpeaigbm ge oôiekm y gtrgsg ke vmetgdk gpe
vmetgdk gpeaigbm ko 1<´, aigbm ko 1<´, pmr tgotpmr tgotm pukbk cmbkm pukbk cmbkegrsk imcm egrsk imcm uo rkgitgoiag uo rkgitgoiag XXcc
imokitgbg g trgvás bk eg nukotk bk vmetgdk pracgram. Eg imrrakotk bk párbabgs ko ke imokitgbg g trgvás bk eg nukotk bk vmetgdk pracgram. Eg imrrakotk bk párbabgs ko ke oôiekm ks prmpmriamoge ge vmetgdk gpeaigbm ge oôiekm quk kstç ko ngsk imo ke vmetgdk oôiekm ks prmpmriamoge ge vmetgdk gpeaigbm ge oôiekm quk kstç ko ngsk imo ke vmetgdk gpeaigbm, tge quk pukbk skr cmbkegbm pmr uog rksastkoiag Z
gpeaigbm, tge quk pukbk skr cmbkegbm pmr uog rksastkoiag Zii imokitgbg g trgvás bk imokitgbg g trgvás bk
eg nukotk bk vmetgdk pracgram. eg nukotk bk vmetgdk pracgram.
2.- ½Wuá ks ke neudm baspkrsm ko uo trgosnmrcgbmr= ½\mr quá ks sacuegbm imcm uo 2.- ½Wuá ks ke neudm baspkrsm ko uo trgosnmrcgbmr= ½\mr quá ks sacuegbm imcm uo aobuitmr ko ke iariuatm kquavgekotk bk uo trgosnmrcgbmr=
aobuitmr ko ke iariuatm kquavgekotk bk uo trgosnmrcgbmr= Ems neudms ή
Ems neudms ήA\A\y ώy ώAYAYquk ksigpgo bke oôiekm y pgsgo ôoaigckotk g trgvás bk uom bkquk ksigpgo bke oôiekm y pgsgo ôoaigckotk g trgvás bk uom bk
ems bkvgogbms bke trgosnmrcgbmr smo neudms baspkrsms. Kstg nu`g bk neudms prmbuik ems bkvgogbms bke trgosnmrcgbmr smo neudms baspkrsms. Kstg nu`g bk neudms prmbuik uog gutmaobuitgoiag ko eg jmjaog pracgrag y skiuobgr
uog gutmaobuitgoiag ko eg jmjaog pracgrag y skiuobgrag y sus knkitms bkjko tkokrskag y sus knkitms bkjko tkokrsk ko iukotg.
ko iukotg.
;.- Hg`g uog eastg y bksirajg ems tapms bk párbabgs quk sk prkskotgo ko uo ;.- Hg`g uog eastg y bksirajg ems tapms bk párbabgs quk sk prkskotgo ko uo trgosnmrcgbmr.
trgosnmrcgbmr.
\árbabgs ko ke imjrk a \árbabgs ko ke imjrk a::Z4Z4
Ymo párbabgs pmr igekotgcakotm rksastavm bk ems bkvgogbms pracgram y skiuobgram Ymo párbabgs pmr igekotgcakotm rksastavm bk ems bkvgogbms pracgram y skiuobgram bke trgosnmrcgbmr.
bke trgosnmrcgbmr.
\árbabgs pmr imrrakotks pgrçsatgs4 \árbabgs pmr imrrakotks pgrçsatgs4
\árbabgs pmr igekotgcakotm rksastavm ko ke oôiekm bke trgosnmrcgbmr. \árbabgs pmr igekotgcakotm rksastavm ko ke oôiekm bke trgosnmrcgbmr. \árbabgs pmr hastárksas4
\árbabgs pmr hastárksas4
Kstço rkegiamogbgs imo ems rkmrbkogcakotms ko ems bmcaoams cg`oátaims ko ke Kstço rkegiamogbgs imo ems rkmrbkogcakotms ko ems bmcaoams cg`oátaims ko ke oôiekm burgotk igbg skcaiaiem.
oôiekm burgotk igbg skcaiaiem. Neudm baspkrsm4
Neudm baspkrsm4 Ems neudms ή
Ems neudms ήA\A\y ώy ώAYAYquk ksigpgo bke oôiekm y pgsgo ôoaigckotk g trgvás bk uom bkquk ksigpgo bke oôiekm y pgsgo ôoaigckotk g trgvás bk uom bk
ems bkvgogbms bke trgosnmrcgbmr smo neudms baspkrsms. Kstg nu`g bk neudms prmbuik ems bkvgogbms bke trgosnmrcgbmr smo neudms baspkrsms. Kstg nu`g bk neudms prmbuik
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uog gutmaobuitgoiag ko eg jmjaog pracgrag y skiuobg
uog gutmaobuitgoiag ko eg jmjaog pracgrag y skiuobgrag y sus knkitms bkjko tkokrskrag y sus knkitms bkjko tkokrsk ko iukotg.
ko iukotg.
>.- ½\mr quá ke ngitmr bk pmtkoiag bk eg igr`g gnkitg eg rk`uegiaùo bk vmetgdk bke >.- ½\mr quá ke ngitmr bk pmtkoiag bk eg igr`g gnkitg eg rk`uegiaùo bk vmetgdk bke trgosnmrcgbmr=
trgosnmrcgbmr=
\mrquk pgrg uo trgosnmrcgbmr quk mpkrg g uo ngitmr bk pmtkoiag ko gtrgsm, eg \mrquk pgrg uo trgosnmrcgbmr quk mpkrg g uo ngitmr bk pmtkoiag ko gtrgsm, eg rk`uegiaùo bk vmetgdk ks cgymr quk ikrm, cakotrgs quk pgrg uo ngitmr bk pmtkoiag rk`uegiaùo bk vmetgdk ks cgymr quk ikrm, cakotrgs quk pgrg uo ngitmr bk pmtkoiag ko gbkegotm, ke vmetgdk skiuobgram pukbk skr cgymr quk ke vmetgdk pracgram bk ko gbkegotm, ke vmetgdk skiuobgram pukbk skr cgymr quk ke vmetgdk pracgram bk rknkrkoiag. Ya kstm ôetacm miurrk, ke trgosnmrcgbmr tkobrç uog rk`uegiaùo bk vmetgdk rknkrkoiag. Ya kstm ôetacm miurrk, ke trgosnmrcgbmr tkobrç uog rk`uegiaùo bk vmetgdk ok`gtavg (knkitm Nkrrgota).
ok`gtavg (knkitm Nkrrgota).
0.- ½\mr quá eg prukjg bk imrtm iariuatm cukstrg jçsaigckotk egs párbabgs a
0.- ½\mr quá eg prukjg bk imrtm iariuatm cukstrg jçsaigckotk egs párbabgs a ::Z y omZ y om
egs párbabgs ko eg kxiatgiaùo bke trgosnmrcgbmr= egs párbabgs ko eg kxiatgiaùo bke trgosnmrcgbmr=
\mrquk egs tkrcaogeks bke skiuobgram sk imrtmiariuatgo y ko ke pracgram sk imokitg \mrquk egs tkrcaogeks bke skiuobgram sk imrtmiariuatgo y ko ke pracgram sk imokitg uog nukotk gbkiugbg bk vmetgdk, kotmoiks sk cabko ke vmetgdk, eg imrrakotk y eg uog nukotk gbkiugbg bk vmetgdk, kotmoiks sk cabko ke vmetgdk, eg imrrakotk y eg pmtkoiag bk kotrgbg.
pmtkoiag bk kotrgbg.
8.- ½\mr quá eg prukjg bk iariuatm gjakrtm cukstrg jçsaigckotk egs párbabgs bk eg 8.- ½\mr quá eg prukjg bk iariuatm gjakrtm cukstrg jçsaigckotk egs párbabgs bk eg kxiatgiaùo y om egs bk a
kxiatgiaùo y om egs bk a::Z=Z=
\mrquk kstg prukjg pkrcatk mjtkokr ke vgemr bk egs eegcgbgs párbabgs ko vgiãm m \mrquk kstg prukjg pkrcatk mjtkokr ke vgemr bk egs eegcgbgs párbabgs ko vgiãm m párbabgs ko ke oôiekm. Ko ástg prukjg ke bkvgogbm quk sk geackotg ks bk jgdm párbabgs ko ke oôiekm. Ko ástg prukjg ke bkvgogbm quk sk geackotg ks bk jgdm vmetgdk y gsã rksuetg cçs imovkoakotk eg ckbaiaùo
vmetgdk y gsã rksuetg cçs imovkoakotk eg ckbaiaùo
1.- ½Iùcm keacaog ke sastkcg pmr uoabgb ke prmjekcg bk ems bankrkotks oavkeks bk 1.- ½Iùcm keacaog ke sastkcg pmr uoabgb ke prmjekcg bk ems bankrkotks oavkeks bk vmetgdk ko uo sastkcg bk pmtkoiag=
vmetgdk ko uo sastkcg bk pmtkoiag=
\mrquk ko kstk sastkcg egs imovkrsamoks okiksgrags sk rkgeazgo gutmcçtaigckotk \mrquk ko kstk sastkcg egs imovkrsamoks okiksgrags sk rkgeazgo gutmcçtaigckotk pmr ke cátmbm ko sã.
pmr ke cátmbm ko sã.
7<.- ½\mr quá ems gutmtrgosnmrcgbmrks pukbko cgokdgr cçs pmtkoiag quk ems 7<.- ½\mr quá ems gutmtrgosnmrcgbmrks pukbko cgokdgr cçs pmtkoiag quk ems trgosnmrcgbmrks imovkoiamogeks bke cascm tgcg÷m=
trgosnmrcgbmrks imovkoiamogeks bke cascm tgcg÷m=
[og rgzùo pmbrãg skr pmrquk ems trgosnmrcgbmrks imovkoiamogeks pgrg sgigr eg [og rgzùo pmbrãg skr pmrquk ems trgosnmrcgbmrks imovkoiamogeks pgrg sgigr eg skiiaùo bke trgosnmrcgbmr aoneuyk tgotm eg pmtkoiag quk sk vg g utaeazgr imcm eg skiiaùo bke trgosnmrcgbmr aoneuyk tgotm eg pmtkoiag quk sk vg g utaeazgr imcm eg pmtkoiag pkrbabg ko ke oôiekm pmr ke ckrm hkihm bk quk kstk aobuiakobm vmetgdk, ko pmtkoiag pkrbabg ko ke oôiekm pmr ke ckrm hkihm bk quk kstk aobuiakobm vmetgdk, ko igcjam ko ke gutm trgosnmrcgbmr pgrg igeiuegr eg skiiaùo bke trgosnmrcgbmr smem igcjam ko ke gutm trgosnmrcgbmr pgrg igeiuegr eg skiiaùo bke trgosnmrcgbmr smem aoneuyk eg pmtkoiag quk sk vg g utaeazgr, kstm quakrk bkiar quk eg knkitavabgb bke aoneuyk eg pmtkoiag quk sk vg g utaeazgr, kstm quakrk bkiar quk eg knkitavabgb bke trgosnmrcgbmr sk aoirkckotg eg igotabgb bk kokr`ãg quk sk pkrbabg pmr knkitms bk trgosnmrcgbmr sk aoirkckotg eg igotabgb bk kokr`ãg quk sk pkrbabg pmr knkitms bk eg aobuiiaùo bk eg uog jmjaog g eg mtrg.
