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Gdamlj 10 Ondujgoaognjls hgmgtaclsGdamlj 10 Ondujgoaognjls hgmgtacls
lvn hl lsta práooa ls eadgcgargzar acLc nflvn hl lsta práooa ls eadgcgargzar ac acudjn onj ca mljlraogÿj y ahqugsgogÿjacudjn onj ca mljlraogÿj y ahqugsgogÿj hlhllta hl snjghn n onj gjtlreaz paratarlta hl snjghn n onj gjtlreaz para lc nsogcnsonpgn pulhllc nsogcnsonpgn pulhlldpcn, qul lc acudjn puhglralldpcn, qul lc acudjn puhglranrar n rlacgzar ntra prnmradaogÿj qul oudpcadlnrar n rlacgzar ntra prnmradaogÿj qul oudpca onj lc prnpÿsgtn hl mljlraogÿj hlonj lc prnpÿsgtn hl mljlraogÿj hln— sl parlzoa a ca slñac hl–hgfun— sl parlzoa a ca slñac hl ldpn onjjun. _gj ldfarmn, dgljtras sl oudpcaldpn onjjun. _gj ldfarmn, dgljtras sl oudpca%%Eaouctah%%Eaouctah hlhl GjmljglräaGjmljglräa LclotrÿjgoaLclotrÿjgoa yy LcçotrgoaLcçotrgoa %Oursn0%Oursn0 OND\JGOAOGNJL_OND\JGOAOGNJL_ HGMGXACL_HGMGXACL_ %CAFNVAXNVG%CAFNVAXNVGNN 88
%GJXLMVAJXL_%GJXLMVAJXL_%_lvgcca%_lvgcca ájoklzájoklz MlrarhnMlrarhn 151721;<151721;< %Mulrrlrn%Mulrrlrn OulvaOulva ÁjmlcÁjmlc 1<17211?1<17211? %Ugouña%Ugouña QugsplQugspl FrayajFrayaj 1<1722671< oco,oclaroco,oclar accacc,ocnsl,ocnsl accacc 99 % mraegoajhn ca slñac% mraegoajhn ca slñac e462229e462229 %% erlouljogaerlouljoga hlchlc tnjntnjn aa mljlrarmljlrar esn41l59esn41l59 % erlouljoga hl dulstrln hl rlelrljoga para cns% erlouljoga hl dulstrln hl rlelrljoga para cns hgfunshgfuns Jn4 esn1l-?9Jn4 esn1l-? tn4(20Jn-1)/esn9tn4(20Jn-1)/esn9 %% rlprlsljtarldnsrlprlsljtarldns 11 dsds hlhl caca slñacslñac xn4sgj(6pgetn)9xn4sgj(6pgetn)9 %% slñacslñac hlhl rlelrljogarlelrljoga (duy(duy snfrldulstrlaha)snfrldulstrlaha) enrenr es4Y88122es4Y88122 662<2662<2 1126<1126< ;222T9;222T J4es19J4es t4(20J-1)/es9t4(20J-1)/es9 %% UlotnrUlotnr onjonj cnscns gjstajtlsgjstajtls hlhl dulstrln0dulstrln0 11 ss aa eses KzKz x4sgj(6pget)9x4sgj(6pget)9 %% _lñac_lñac dulstrlahadulstrlaha
%%Eaouctah%%Eaouctah hlhl GjmljglräaGjmljglräa LclotrÿjgoaLclotrÿjgoa yy LcçotrgoaLcçotrgoa %Oursn0%Oursn0 OND\JGOAOGNJL_OND\JGOAOGNJL_ HGMGXACL_HGMGXACL_ %CAFNVAXNVGN%CAFNVAXNVGN 88
%GJXLMVAJXL_%GJXLMVAJXL_ %_lvgcca%_lvgcca ájoklzájoklz MlrarhnMlrarhn 151721;<151721;< %Mulrrlrn%Mulrrlrn OulvaOulva ÁjmlcÁjmlc 1<17211?1<17211? %Ugouña%Ugouña QugsplQugspl FrayajFrayaj 1<1722671< oco,oclaroco,oclar accacc,ocnsl,ocnsl accacc 99 e472229e472229 %% erlouljogaerlouljoga hlhl caca slñacslñac sljnghacsljnghac esn41l59esn41l59 %% erlouljogaerlouljoga hlhl dulstrlndulstrln hlhl rlelrljogarlelrljoga parapara cnscns hgfunshgfuns Jn4Jn4 esn1l-?9esn1l-? tn4(20Jn-1)/esn9tn4(20Jn-1)/esn9 %% rlprlsljtarldnsrlprlsljtarldns 11 dsds hlhl caca slñacslñac xn4sgj(6pgetn)9xn4sgj(6pgetn)9 % slñac hl% slñac hl rlelrljoga (duyrlelrljoga (duy snfrldulstrlaha)snfrldulstrlaha) enrenr es4Y88122es4Y88122 662<2662<2 1126<1126< ;222T9;222T J4es19J4es t4(20J-1)/es9t4(20J-1)/es9 %% UlotnrUlotnr onjonj cnscns gjstajtlsgjstajtls hlhl dulstrln0dulstrln0 11 ss aa eses KzKz x4sgj(6pget)9x4sgj(6pget)9 %% _lñac_lñac dulstrlahadulstrlaha er4rld(e,es)9er4er-es.(er:es/6)9er4rld(e,es)9er4er-es.(er:es/6)9 % erlouljoga hl slñac% erlouljoga hl slñac rlonjstrugharlonjstrugha (onj(onj pnsgfclpnsgfcl acgasgjm)acgasgjm) xr4sgj(6pgertn)9xr4sgj(6pgertn)9 %% _lñac_lñac rlonjstrugharlonjstrugha
sufpcnt(6,1,1),sufpcnt(6,1,1), pcnt(tn,xn,pcnt(tn,xn,'r''r',t,x,,t,x,'d-n''d-n')9axgs(Y2,1l-?,-1,1T)9)9axgs(Y2,1l-?,-1,1T) mrghmrgh njnj cmhcmh 44 clmljh({clmljh({'_lñac nrgmgjac''_lñac nrgmgjac',,'_lñac'_lñac dulstrlaha'dulstrlaha'},},'Enjt_gzl''Enjt_gzl',;,,;,'XlxtOncnr''XlxtOncnr',,'fcaoi''fcaoi',,'Cnoatgnj''Cnoatgnj',,'snu'snu tkwlst'tkwlst')9) tgtcl(sprgjte(tgtcl(sprgjte('Erlouljoga'Erlouljoga slñac0slñac0 %gKz%gKz ErlouljogaErlouljoga hlhl julstrln0julstrln %gKz'%gKz',e,es)),e,es)) xcaflc(xcaflc('Rucsl'Rucsl ujauja tlocatloca parapara lsouokarlsouokar yy vlrvlr caca slñacslñac rlonjstrugha'rlonjstrugha'))
hgsp(hgsp('Rucsl'Rucsl ujauja tlocatloca parapara lsouokarlsouokar yy vlrvlr caca slñacslñac rlonjstrugha'rlonjstrugha')) pausl()pausl()
sufpcnt(6,1,6)9sufpcnt(6,1,6) z4z4 pcnt(tn,xn,pcnt(tn,xn,'r''r',t,x,,t,x,'d-n''d-n',tn,xr,,tn,xr,'f''f')9)9 axgs(Y2,1l-?,-1,1T)9axgs(Y2,1l-?,-1,1T) z(1).Cgjl]z(1).Cgjl]ghtk 4ghtk 4 6969 mrghmrgh njnj cmhcmh 44 clmljh({clmljh({'_lñac nrgmgjac''_lñac nrgmgjac',,'_lñac'_lñac dulstrlaha'dulstrlaha',,'_lñac'_lñac rlonjstrugha'rlonjstrugha'},},'Enjt_gzl''Enjt_gzl',;,,;,'XlxtOncnr''XlxtOncnr',,'fcaoi''fcaoi',,'Cnoatgnj''Cnoatgnj',,'s's nutkwlst'nutkwlst')9) tgtcl(sprgjte(tgtcl(sprgjte('Erlouljoga'Erlouljoga slñac0slñac0 %gKz%gKz ErlouljogaErlouljoga hlhl julstrln0julstrln %gKz'%gKz',e,es)),e,es))
XX4(J-1)/es9XX4(J-1)/es jntas4sgjusnghac6(es,e,XX)9jntas4sgjusnghac6(es,e,XX) snujh(jntas,es)snujh(jntas,es) pausl()9pausl() ljhljh
Gdamlj 50 _lñac rlonjstrugha a 88.1 iKzGdamlj 50 _lñac rlonjstrugha a 88.1 iKz
Gdamlj =0 _lñac rlonjstrugha a 66.2<iKzGdamlj =0 _lñac rlonjstrugha a 66.2<iKz
%%Eaouctah%%Eaouctah hlhl GjmljglräaGjmljglräa LclotrÿjgoaLclotrÿjgoa yy LcçotrgoaLcçotrgoa %Oursn0%Oursn0 OND\JGOAOGNJL_OND\JGOAOGNJL_ HGMGXACL_HGMGXACL_ %CAFNVAXNVG%CAFNVAXNVGNN 88 %GJXLMVAJXL_%GJXLMVAJXL_ %_lvgcca%_lvgcca ájoklzájoklz MlrarhnMlrarhn 151721;<151721;< %Mulrrlrn%Mulrrlrn OulvaOulva ÁjmlcÁjmlc 1<17211?1<17211? %Ugouña%Ugouña QugsplQugspl FrayajFrayaj 1<1722671< %%%% AC\DJN1AC\DJN1 (mljlraognj)(mljlraognj) e472229e472229 %% erlouljogaerlouljoga hlhl caca slñacslñac sljnghacsljnghac
Gdamlj 70 _lñac rlonjstrugha a ;iKzGdamlj 70 _lñac rlonjstrugha a ;iKz
es4881229es4881229 %% erlouljogaerlouljoga hlhl dulstrlndulstrln J4J4 es19es t4(20J-1)/es9t4(20J-1)/es9 %% mljlradnsmljlradns 11 ss hlhl caca slñacslñac x4sgj(6pget)9x4sgj(6pget)9 %% slñacslñac nrgmgjacnrgmgjac
XX4(J-1)/es9XX4(J-1)/es jntas4sgjusnghac?(es,e,XX)9jntas4sgjusnghac?(es,e,XX) snujh(jntas,es)snujh(jntas,es)
pausl()pausl() %% _l_l hltgljlhltgljl trastras pucsarpucsar ujauja tlocatloca
%%%% AC\DJN6AC\DJN6 (ahqugsgognj)(ahqugsgognj) enrenr es14Y88122es14Y88122 662<2662<2 1126<1126< ;222T9;222T J141es19J141es19 %Judlrn%Judlrn hlhl dulstrasdulstras ljlj 11 smsm aa es1es1 dulstras/sdulstras/s t14(20J1-1)/es19t14(20J1-1)/es x14sgj(6pget1)9x14sgj(6pget1)9 %% _lñac_lñac dulstrlahadulstrlaha % Vlpgta ca% Vlpgta ca ahqugsgogÿahqugsgogÿj para 662<2, 1126< yj para 662<2, 1126< y ;222 dulstras/s;222 dulstras/s rlsplotgvadljtlrlsplotgvadljtl z4pcnt(t,x,z4pcnt(t,x,'d''d',t1,x1,,t1,x1,'r''r')9)9 % hgful tnhas cas% hgful tnhas cas slñaclsslñacls z(1).Cgjl]ghtkz(1).Cgjl]ghtk 44 6969 z(6).Cgjl]ghtkz(6).Cgjl]ghtk 44 6969 mrghmrgh njnj axgs(Y2,1l-?,-1,1T)9axgs(Y2,1l-?,-1,1T) cmhcmh 44 clmljh({clmljh({'_lñac'_lñac nrgmgjac'nrgmgjac',,'_lñac'_lñac dulstrlaha'dulstrlaha'},},'Enjt_gzl''Enjt_gzl',;,,;,'XlxtOncnr''XlxtOncnr',,'fcaoi''fcaoi',,'Cnoatgnj''Cnoatgnj',,'s's
nutkwlst'nutkwlst'tgtcl(sprgjte(tgtcl(sprgjte('Erlouljoga)9)9 'Erlouljoga hlhl caca slñac0slñac0 %gKz%gKz ErlouljogaErlouljoga hlhl
julstrln0julstrln0 %gKz'%gKz',e,es1)),e,es1))
hgsp(hgsp('Rucsl'Rucsl ujauja tlocatloca parapara lsouokarlsouokar yy vlrvlr caca slñac'slñac')) pausl()pausl()
XX4(J-1)/es9XX4(J-1)/es jntas4sgjusnghac6(es,e,XX)9jntas4sgjusnghac6(es,e,XX) snujh(jntas,es)snujh(jntas,es) pausl()9pausl() ljhljh
MLJLVAOGßJMLJLVAOGßJ HLHL LÑACL__LÑACL HLHL OND\JGOAOGßJ.OND\JGOAOGßJ.
ocnslocnsl accacc oclaroclar accacc ocooco F4Y1F4Y1 22 11 22 11 11 22 22 11 2T92T9 %fgts%fgts A46F-19A46F-19 % sgdfncns% sgdfncns egmurlegmurl (1)(1) sufpcnt(6,1,1)9sufpcnt(6,1,1) stld(F)9stld(F) tgtcl(tgtcl('Fgts''Fgts')) sufpcnt(6,1,6)9sufpcnt(6,1,6) stld(A)stld(A) %hgfuadns%hgfuadns cascas slouljogasslouljogas hlhl fgtsfgts yy sädfncnssädfncns tgtcl(tgtcl('_gdfncns''_gdfncns')) %% erlouljoga 1%% erlouljoga 1 es14881229es14881229 %% erlouljogaerlouljoga hlhl dulstrlndulstrln J14829J14829 %% 8282 dulstras/dulstras/ sgdfncnsgdfncn
x14onjv(J1,A)9x14onjv(J1,A) t14(20cljmtk(x1)-1)/es19t14(20cljmtk(x1)-1)/es egmurlegmurl (6)(6) sufpcnt(?,1,1)sufpcnt(?,1,1) pcnt(t1,x1)9pcnt(t1,x1)9 %hgfuadns%hgfuadns cascas dulstrasdulstras hlhl caca slñacslñac hlhl cäjlacäjla axgs(Y2axgs(Y2 2.2226<2.2226< -<2-<2 <2T)9<2T) tgtcl(tgtcl('dulstra'dulstra hlhl caca slñacslñac hlhl cgjlacgjla parapara erlouljogaerlouljoga hlhl 88122y88122y J482'J482')) xcaflc(xcaflc('t''t')) mrghmrgh njnj %% erlouljoga 6%% erlouljoga 6 es64662<29es64662<29 %% erlouljogaerlouljoga hlhl dulstrlndulstrln J64629J x64onjv(J6,A)9x64onjv(J6,A) t64(20cljmtk(x6)-1)/es69t64(20cljmtk(x6)-1)/es egmurlegmurl (6)(6) sufpcnt(?,1,6)sufpcnt(?,1,6) pcnt(t6,x6)9pcnt(t6,x6)9 %hgfuadns%hgfuadns cascas dulstrasdulstras hlhl caca slñacslñac hlhl cäjlacäjla axgs(Y2axgs(Y2 2.222<2.222< -?2-?2 ?2T)9?2T) tgtcl(tgtcl('dulstra hl ca slñac hl cgjla para erlouljoga hl 662<2 y J462''dulstra hl ca slñac hl cgjla para erlouljoga hl 662<2 y J462')) xcaflc(xcaflc('t''t')) mrghmrgh njnj %% erlouljoga ?%% erlouljoga? es?41126<9es?41126<9 %% erlouljogaerlouljoga hlhl dulstrlndulstrln J?4129J? x?4onjv(J?,A)9x?4onjv(J?,A)
Gdamlj 180 jns dulstra cns fgts y sädfncns, ya caGdamlj 180 jns dulstra cns fgts y sädfncns, ya ca slñac para oaha ed y J.slñac para oaha ed y J.
Gdamlj 1<0 Oÿhgmn hl cäjla ujgpncar, jnGdamlj 1<0 Oÿhgmn hl cäjla ujgpncar, jn rltnrjn a olrn y su hljsghahrltnrjn a olrn y su hljsghah lsplotrac jnrdacgzaha.lsplotrac jnrdacgzaha.
%HLJ_GHAH%HLJ_GHAH L_RLOXVACL_RLOXVAC jnrdacgzahajnrdacgzaha knchknch neenee A4sqrt(6)9A4sqrt(6) tf41.<9tf41.< V41/tf9V41/tf C46V9C46V hlc429hlc e420C/<20C9e420C/<20C hlc1429hlc R4(A.Z6tf)/8(sgjo(etf)).Z6(1+(1/tf)hlc)9R4(A.Z6tf)/8(sgjo(etf)).Z6(1+(1/tf)hlc) egmurl (6)egmurl (6) m14pcnt(e,R)9m14pcnt(e,R) tgtcl(tgtcl('HLJ_GHAH'HLJ_GHAH L_RLOXVACL_RLOXVAC HLHL \JVP'\JVP'))
%%%% pncarpncar jnjn rltnrjnrltnrjn aa olrnolrn
k4rnujh(2.=<rajh(1,1222))9k4rnujh(2.=<rajh(1,1222)) j419j c4cljmtk(k)9c4cljmtk(k) k(c+1)419k(c+1)
wkgclwkgcl j34cljmtk(k)-1j34cljmtk(k)-
t4j-102.2210j9t4j-102.2210j
gege k(j) 44 2k(j) 44 2 gege k(j+1)442k(j+1) y4-(t3j)-(t44j)9y4-(t3j)-(t44j)
lcsllcsl y4-(t3j)+(t44j)9y4-(t3j)+(t44j)
oclaroclar accacc 99 ocnslocnsl accacc 99 ocooco %%%% ujgpncarujgpncar onjonj rltnrjnrltnrjn aa olrnolrn %k4Y2%k4Y2 11 22 22 11 22 11 22 11 1T91T9 %k4Y1%k4Y1 22 22 11 11 22 11 22 11 2T92T k4rnujh(2.=<rajh(1,1222))9k4rnujh(2.=<rajh(1,1222)) %\VP(k)%\VP(k) j419j c4cljmtk(k)9c4cljmtk(k) k(c+1)419k(c+1) wkgclwkgcl j34cljmtk(k)-1j34cljmtk(k)- t4j-102.2210j9t4j-102.2210j %Mraegoaogÿ%Mraegoaogÿj hl cnsj hl cns OLVN_ (2)OLVN_ (2) gege k(j) 44 2k(j) 44 2 gege k(j+1)442k(j+1)
y4(t:j)9y4(t:j) lcsllcsl y4(t44j)9y4(t44j) ljhljh egmurl(1)egmurl(1) d4pcnt(t,y)9mrghd4pcnt(t,y)9mrgh njnj tgtcl(tgtcl('Cgjl'Cgjl onhlonhl \JGRNCAV\JGRNCAV VP'VP')9) slt(d,slt(d,'Cgjl]ghtk''Cgjl]ghtk',6.<)9,6.<) knchknch njnj 99 axgs(Y2axgs(Y2 cljmtk(k)-1cljmtk(k)-1 -1.<-1.< 1.<T)91.<T) hgsp(hgsp('zlrn''zlrn')9)
%Mraegoaogÿj%Mraegoaogÿj hlhl cnscns \JN_\JN_ (1)(1) lcsllcsl gege k(j+1)442k(j+1) y4(t3j-2.<)9y4(t3j-2.<) lcsllcsl y4(t3j-2.<)+1(t44j)9y4(t3j-2.<)+1(t44j) ljhljh d4pcnt(t,y)9mrghd4pcnt(t,y)9mrgh njnj 99 tgtcl(tgtcl('Cgjl'Cgjl onhlonhl \JGRNCAV\JGRNCAV VP'VP')9) slt(d,slt(d,'Cgjl]ghtk''Cgjl]ghtk',6.<)9,6.<)
knchknch njnj 99 axgs(Y2axgs(Y2 cljmtk(k)-1cljmtk(k)-1 -1.<-1.< 1.<T)91.<T) hgsp(hgsp('njl''njl')9) ljhljh j4j+19j4j+ %pausl9%pausl ljhljh
%HLJ_GHAH%HLJ_GHAH L_RLOXVACL_RLOXVAC jnrdacgzahajnrdacgzaha knchknch neenee A469A tf419tf V41/tf9V41/tf C46V9C46V e420C/<20C9e420C/<20C hlc429hlc
R4(A.Z6tf)/15(sgjo(etf/6)).Z69R4(A.Z6tf)/15(sgjo(etf/6)).Z69egmurl (6)egmurl (6)
m4pcnt(e,R)9m4pcnt(e,R) tgtcl(tgtcl('HLJ_GHAH L_RLOXVAC HL \VP''HLJ_GHAH L_RLOXVAC HL \VP'))
Gdamlj 1=0 Oÿhgmn hl cäjla ujgpncar, onjGdamlj 1=0 Oÿhgmn hl cäjla ujgpncar, onj rltnrjn a olrn y surltnrjn a olrn y su hljsghah lsplotrac jnrdacgzaha.hljsghah lsplotrac jnrdacgzaha.
GJENVDL EGJAC 8 ‟ CAFNVAXNVGN HLGJENVDL EGJAC 8 ‟ CAFNVAXNVGN HL OND\JGOAOGNJL_ HGMGXACL_OND\JGOAOGNJL_ HGMGXACL_
Gdamlj 170 Oÿhgmn hl cäjla Dajoklstlr y su hljsghah lsplotrac jnrGdamlj 170 Oÿhgmn hl cäjla Dajoklstlr y su hljsghah lsplotrac jnrdacgzaha.dacgzaha.
%%%% onhgmnonhgmn dajoklstlrdajoklstlr k4rnujh(2.=<rajh(1,1222))9k4rnujh(2.=<rajh(1,1222))9 %k4Y1%k4Y1 22 22 11 11 22 11 22 11 2T92T %DAJOKL_XLV(k)%DAJOKL_XLV(k) j419j k4~k9k4~k c4cljmtk(k)9c4cljmtk(k) k(c+1)419k(c+1) wkgclwkgcl j34cljmtk(k)-1j34cljmtk(k)- t4j-102.2210j9t4j-102.2210j gege k(j) 44 2k(j) 44 2 gege k(j+1)442k(j+1) y4-(t3j)+6(t3j-2.<)+1(t44j)9y4-(t3j)+6(t3j-2.<)+1(t44j) lcsllcsl y4-(t3j)+6(t3j-2.<)-1(t44j)9y4-(t3j)+6(t3j-2.<)-1(t44j) ljhljh
egmurl(<)egmurl(<)h14pcnt(t,y)9mrghh14pcnt(t,y)9mrgh njnj 99
tgtcl(tgtcl('Cgjl'Cgjl onhlonhl DAJOKL_XLV'DAJOKL_XLV')9) slt(h1,slt(h1,'Cgjl]ghtk''Cgjl]ghtk',6.<)9,6.<) knchknch njnj 99
hgsp(hgsp('njl''njl')9) lcsllcsl gege k(j+1)442k(j+1) y4(t3j)-6(t3j-2.<)+1(t44j)9y4(t3j)-6(t3j-2.<)+1(t44j) lcsllcsl y4(t3j)-6(t3j-2.<)-1(t44j)9y4(t3j)-6(t3j-2.<)-1(t44j) ljhljh h14pcnt(t,y)9mrghh14pcnt(t,y)9mrgh njnj 99 tgtcl(tgtcl('Cgjl'Cgjl onhlonhl DAJOKL_XLV'DAJOKL_XLV')9) slt(h1,slt(h1,'Cgjl]ghtk''Cgjl]ghtk',6.<)9,6.<) knchknch njnj 99 axgs(Y2axgs(Y2 cljmtk(k)-1cljmtk(k)-1 -1.<-1.< 1.<T)91.<T)
ljhljh j4j+19j4j+ %pausl9%pausl ljhljh %HLJ_GHAH%HLJ_GHAH L_RLOXVACL_RLOXVAC jnrdacgzahajnrdacgzaha knchknch neenee A41 9A41 9 tf41.<9tf41.< V41/tf9V41/tf C46V9C46V e?420C/<20C9e?420C/<20C hlc1429hlc R64(A.Z6tf)(sgjo(e?tf/6)).Z6.(1-ons(6pge?tf/6)).Z69R64(A.Z6tf)(sgjo(e?tf/6)).Z6.(1-ons(6pge?tf/6)).Z egmurlegmurl (5)(5)
m14pcnt(e?,R6)9m14pcnt(e?,R6)9tgtcl(tgtcl('HLJ_GHAH'HLJ_GHAH L_RLOXVACL_RLOXVAC HLHL FVP'FVP'))