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B01;8F5 1 ?@54AB02;5=K @57C;LB0BK 87<5@5=89 <0:A8<0;L=>9 A:>@>AB8 ?>40G8 max, ?@>2>48<KE ?@8 @07;8G=KE @07<5@0E OG55: A5B:8, ?@545;L=>9 ?;>B=>AB8 nmax, 0 B0:65 7=0G5=8O A@54=53> 70@O40 q, :>MDD8F85=B0 70@O4:8 k 8 @0AAG8B0==>9, 8AE>4O 87 53> 7=0G5=8O, <0:A8<0;L=>9 A:>@>AB8 ?>40G8. 0:65 2 B01;8F5 ?@82545=> 7=0G5=85 A:>@>AB8 ?>40G8 P0, 87<5@5==>5 157 =0?@O65=8O, 4;O :064>3> @07<5@0 OG55: A5B:8. 01;8F0 1 !>@A@O<K5 87<5@5=8O7<5@5=85 70@O40 0, 3/(<2A) max, 3/(<2A)nmax, 3/<2q , ;k, ; </ max, 3/(<2A) 1(:@0A=K9), l = 0,5 <<,  = 0,33 B5:A29,414,80,698,13,8(11,21,7) 10-131,87 10-1828,14,353,123,32,0105,60,915028,83,690,76,0 2(A5@K9), l = 0,5 <<,  = 0,33 B5:A26,515,12,793,32,1(8,10,5) 10-131,34 10-1839,12,48834,91,893,66,412233,75,691,53,2 3(65;BK9), l = 0,5 <<,  = 0,33 B5:A22,110,71,3108,710,9(16,33,1) 10-132,71 10-1819,43,745,421,31,9124,92,719931,21,4102,94,44(:>@8G=.), l = 0,5 <<,  = 0,33 B5:A11,210,80,6101,22,9(10,61,0) 10-131,77 10-1829,72,629,028,61,8115,86,366,039,62,098,3=0;87 M:A?5@8<5=B0;L=KE 40==KE A2845B5;LAB2C5B > ?@028;L=>AB8 CB25@645=8O B>3>, GB> A:>@>ABL ?>40G8 2>@A0 >3@0=8G5=0 25;8G8=>9, A2O70==>9 A> 7=0G5=85< :>MDD8F85=B0 70@O4:8 D>@<C;>9 (8). =>3>:@0B=>5 ?@52KH5=85 A:>@>AB8 ?>40G8 2>@A0 157 =0?@O65=8O ?> A@02=5=8N A 25;8G8=>9 A:>@>AB8 ?>40G8, ?>;CG5==>9 ?@8 =0;8G88 =0?@O65=8O, B0:65 :>A25==> ?>4B25@6405B 2K428=CB>5 ?@54?>;>65=85. ! 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A;8 70@O4 2KH5 >?@545;5==>3> 7=0G5=8O, B> ?@8 ?@81;865=88 2>@A8=:8 : >A=>25, C65 ?>:@KB>9 =5:>B>@K< :>;8G5AB2>< 2>@A0, 2>7=8:05B :>@>==K9 @07@O4 2>@A8=:8, ?@8 :>B>@>< >=0 ?5@570@O605BAO, =5 ?@81;8782H8AL : :;552>9 ?>25@E=>AB8, 8 2>72@0I05BAO : 25@E=5<C M;5:B@>4C. >7=8:=>25=85 :>@>==>3> @07@O40 >?@545;O5BAO 25;8G8=>9 70@O40 2>@A8=:8 ?>4;5B0NI59 : >A=>25, ?>@>3>2>5 7=0G5=85 :>B>@>3> <>6=> @0AAG8B0BL =0 >A=>25 <>45;8, ?@54;>65==>9 0:045<8:>< >?:>2K<:  QUOTE  , (11) 345 :.@.  =0?@O65==>ABL =0G0;0 :>@>==>3> @07@O40, /<. >@>3>2K5 7=0G5=8O =0?@O65==>AB8 4;O >B@8F0B5;L=>9 8 ?>;>68B5;L=>9 :>@>=K @02=K: E- = 265 :/A<, E+ = 300 :/A<. 0AAG8B02 ?> D>@<C;5 (11) ?@545;L=>5 7=0G5=85 70@O40 ?@8 >B@8F0B5;L=>9 :>@>=5 4;O 2>@A0 4;8=>9 0,5 << 8 480<5B@>< 20 <:< (35><5B@8G5A:85 E0@0:B5@8AB8:8 A>>B25BAB2CNB 2>@A0<, 4;O :>B>@KE ?@>2>48;8AL 87<5@5=8O), 1K;> ?>;CG5=> 7=0G5=85 18,410-13 ;. 0==>5 7=0G5=85 2?>;=5 A>>B25BAB2C5B 7=0G5=8N 70@O40, ?@8 :>B>@>< 2>7=8:05B :>@>==K9 @07@O4 A>3;0A=> ?>;CG5==K< M:A?5@8<5=B0;L=K< 40==K<, ?@54AB02;5==K< =0 3@0D8:0E, GB> ?>4B25@6405B ?@54;>65==CN <>45;L ?@>F5AA0. ;O ?>;CG5=8O >1>1I5==>9 M<?8@8G5A:>9 <>45;8, CG8BK20NI59 :>MDD8F85=B 70@O4:8 8 =0?@O65==>ABL M;5:B@8G5A:>3> ?>;O, 1K;8 8A?>;L7>20=K M:A?5@8<5=B0;L=K5 @57C;LB0BK 8 A2O7L 70@O40 A :>MDD8F85=B>< 70@O4:8 8 =0?@O65==>ABLN ?>;O. >MDD8F85=BK 7028A8<>AB8 >?@545;5=K A ?><>ILN <5B>40 =08<5=LH8E :204@0B>2:  QUOTE   (12) ;O >F5=:8 045:20B=>AB8 ?@54;>65==>9 <>45;8 @57C;LB0B0< 87<5@5=89, >15 7028A8<>AB8 ?>AB@>5=K =0 3@0D8:5, 87>1@065==>< =0 @8AC=:5 5.  8AC=>: 5  028A8<>ABL nmax >B k 4;O E = 4 :/A< 8 E = 6 :/A< >;CG5==0O 7028A8<>ABL ?@545;L=>9 ?;>B=>AB8 2>@A>2>3> ?>:@>20 >B :>MDD8F85=B0 70@O4:8 8 =0?@O65==>AB8 M;5:B@8G5A:>3> ?>;O 2<5AB5 A 7028A8<>ABLN (8) 8 <>45;LN (12) ?>72>;O5B 2K18@0BL 2>@A A >?B8<0;L=K<8 M;5:B@>D878G5A:8<8 A2>9AB20<8, ?@>3=>78@>20BL @57C;LB0BK ?@>F5AA0, 0 B0:65 405B 2>7<>6=>ABL >?@545;8BL :0:85 A2>9AB20 2>@A0 8 @568<K @01>BK >1>@C4>20=8O >15A?5G0B <0:A8<0;L=CN ?@>872>48B5;L=>ABL.  B@5BL59 3;025 87;>65= A?>A>1 @0AG5B0 <8=8<C<0 2@5<5=8, =5>1E>48<>3> 4;O 4>AB865=8O 7040==>9 ?;>B=>AB8 2>@A>2>3> ?>:@>20, 1078@CNI89AO =0 7028A8<>AB8 B5E=>;>38G5A:8E ?0@0<5B@>2 ?@>F5AA0 >B M;5:B@>D878G5A:8E A2>9AB2 2>@A0 8 @568<>2 @01>BK >1>@C4>20=8O. >AB0=>2:0 7040G8 >?B8<870F88 2 MB>< A;CG05 2:;NG05B F5;52CN DC=:F8N (3), 4;O :>B>@>9 =0 >A=>20=88 A>>B=>H5=8O (8) 8 ?>;CG5==>9 M<?8@8G5A:>9 7028A8<>AB8 (12) 2KG8A;ONB B5E=>;>38G5A:85 ?0@0<5B@K ?@>F5AA0 Pmax 8 nmax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n0 >B :>MDD8F85=B0 70@O4:8 2>@A0, 8A?>;L7CO 4;O MB>3> A>>B=>H5=85 (3) 8;8 1>;55 C?@>I5==CN 25@A8N:  QUOTE   (13) 0 >A=>20=88 ?@82545==KE C@02=5=89, 1K;0 ?>AB@>5=0 7028A8<>ABL 2@5<5=8 >B :>MDD8F85=B0 70@O4:8 4;O  2>@A0 l = 0,5 << 8  = 0,33 B5:A, ?>;CG5==>9 ?@8  = 4 :/A<. 5;8G8=0 B@51C5<>9 ?;>B=>AB8 n0 = 65 3/<2 . 0==0O 7028A8<>ABL ?@54AB02;5=0 2 2845 3@0D8:0 =0 @8AC=:5 6.   5H5=85 40==>9 >?B8<870F8>==>9 7040G8 4>;6=> 1KBL 4>?>;=5=> CG5B>< =5>1E>48<>9 3;C18=K 2=54@5=8O 2>@A0, :>B>@0O >15A?5G8205B 4>AB865=85 4>AB0B>G=CN ?@>G=>ABL 70:@5?;5=8O. -B> B@51>20=85 22545=> 2 2845 >3@0=8G5=8O: :8=5B8G5A:0O M=5@38O 2>@A0 W 2 <><5=B 2=54@5=8O 2 :;552>9 A;>9 4>;6=0 1KBL 1>;LH5 >?@545;5==>3> 7=0G5=8O W0.  QUOTE  . (14) 345 W0 - :8=5B8G5A:0O M=5@3859 2>@A0, 70254><> >15A?5G820NI59 B@51C5<CN 3;C18=C ?@>=8:=>25=8O, 6; h - @0AAB>O=85 <564C M;5:B@>40<8 D;>:0B>@0, <. ;O >?@545;5=8O >?B8<0;L=>3> 7=0G5=8O :>MDD8F85=B0 70@O4:8 4;O  2>@A0 l = 0,5 << 8  = 0,33 B5:A 1K; ?@>872545= @0AG5B :8=5B8G5A:>9 M=5@388 4;O  = 4 :/A< 8 h = 12 A<. =0G5=85 W0 A>>B25BAB2C5B: k = 1,510-18 ; </,  = 5 :/A< 8 h = 10 A<, 8 @02=> W0 = 3,75 10-8 6. 0:8< >1@07><, 4;O  2>@A0 l = 0,5 << 8  = 0,33 B5:A, :>MDD8F85=B>< 70@O4:8, >15A?5G820NI8< <8=8<0;L=>5 2@5<O 4>AB865=8O B@51C5<>9 ?;>B=>AB8 2>@A>2>3> ?>:@>20 n0 = 65 3/<2 4;O CAB0=>2;5==KE @568<>2 8 A CG5B>< >3@0=8G5=8O ?> <8=8<0;L=> 4>?CAB8<>9 3;C18=5 2=54@5=8O 2>@A0 2 :;552>9 A;>9, O2;O5BAO k = 1,9 10-18 ; </. -B><C A>>B25BAB2C5B 2@5<O D;>:8@>20=8O t0 = 3,6 A. 0;55 2 3;025 @0AA<>B@5= 20@80=B >?B8<870F88 4;O :@8B5@8O ?@>G=>AB8 70:@5?;5=8O 2>@A0, B> 5ABL AB>9:>AB8 :>=5G=>3> <0B5@80;0 : 8AB8@0=8N.  MB>< A;CG05 2 :0G5AB25 F5;52>9 DC=:F88 2KABC?05B A>>B=>H5=85 4;O :8=5B8G5A:>9 M=5@388 2>@A0 2 7028A8<>AB8 >B :>>@48=0BK 2 7>=5 D;>:8@>20=8O, :>B>@0O >?@545;O5BAO A:>@>ABLN 42865=8O 2>@A8=>::  QUOTE   (15) !>>B25BAB25==>, 2K@065=85 4;O :8=5B8G5A:>9 M=5@388 2>@A8=:8 2K3;O48B:  QUOTE   (16) 0:A8<C< 40==>9 DC=:F88 A>>B25BAB2C5B <56M;5:B@>4=><C @0AAB>O=8N:  QUOTE   (17) 028A8<>ABL :8=5B8G5A:>9 M=5@388 >B <56M;5:B@>4=>3> @0AAB>O=8O, 4;O  2>@A0 A @07;8G=K<8 :>MDD8F85=B0<8 70@O4:8 ?@54AB02;5=0 =0 @8AC=:5 8. 1  k = 1,0 10-18 ; </, 2  k = 1,5 10-18 ; </, 3  k = 2,0 10-18 ; </. 8AC=>: 8 - 028A8<>ABL W >B h, ?>;CG5==0O ?@8 E =4 :/A<. 0;8G85 >?B8<0;L=>3> @0AAB>O=8O >1JOA=O5BAO B5<, GB> ?@8 C25;8G5=88 <56M;5:B@>4=>3> @0AAB>O=8O C<5=LH05BAO 25;8G8=0 ?;>B=>AB8 B>:0, GB> ?@82>48B : A=865=8N >1J5<=>3> 70@O40, :>B>@>5, 2 A2>N >G5@54L, ?@82>48B : C<5=LH5=8N A:>@>AB8 2>@A0. 0: ?>:070;8 @0AG5BK >?B8<0;L=>3> <56M;5:B@>4=>3> @0AAB>O=8O 4;O @07;8G=KE CA;>289 D;>:8@>20=8O, =0 ?@0:B8:5 >15A?5G8BL <0:A8<0;L=CN 3;C18=C 2=54@5=8O ?CB5< 2K1>@0 A>>B25BAB2CNI53> <56M;5:B@>4=>3> @0AAB>O=8O 25AL<0 70B@C4=8B5;L=>. 0?@8<5@, 4;O 2>@A0 l = 0,5 <<, T = 0,33 B5:A, :>MDD8F85=B0 k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