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A5 @0AG5BK A209, A209=KE DC=40<5=B>2 8 8E >A=>20=89 A;54C5B 2K?>;=OBL A 8A?>;L7>20=85< @0AG5B=KE 7=0G5=89 E0@0:B5@8AB8: <0B5@80;>2 8 3@C=B>2. 0AG5B=K5 7=0G5=8O E0@0:B5@8AB8: <0B5@80;>2 A209 8 A209=KE @>AB25@:>2 A;54C5B ?@8=8<0BL 2 A>>B25BAB288 A B@51>20=8O<8 !8 2.03.01-84, !8 11-23-81, !8 11-25-80, !8 2.05.03-84 8 !8 2.06.06-85. 0AG5B=K5 7=0G5=8O E0@0:B5@8AB8: 3@C=B>2 A;54C5B >?@545;OBL ?> C:070=8O< !8 2.02.01-83, 0 @0AG5B=K5 7=0G5=8O :>MDD8F85=B>2 ?>AB5;8 3@C=B0 Az, >:@C60NI53> A20N, A;54C5B ?@8=8<0BL ?> C:070=8O< @5:><5=4C5<>3> ?@8;>65=8O 1. 0AG5B=K5 A>?@>B82;5=8O 3@C=B0 ?>4 =86=8< :>=F>< A208 R 8 =0 1>:>2>9 ?>25@E=>AB8 A208 fi A;54C5B >?@545;OBL ?> C:070=8O< @074. 4. @8 =0;8G88 @57C;LB0B>2 ?>;52KE 8AA;54>20=89, ?@>2545==KE 2 A>>B25BAB288 A B@51>20=8O<8 @074. 5, =5ACICN A?>A>1=>ABL 3@C=B0 >A=>20=8O A209 A;54C5B >?@545;OBL A CG5B>< 40==KE AB0B8G5A:>3> 7>=48@>20=8O 3@C=B>2, 8A?KB0=89 3@C=B>2 MB0;>==K<8 A20O<8 8;8 ?> 40==K< 48=0<8G5A:8E 8A?KB0=89 A209.  A;CG05 ?@>2545=8O 8A?KB0=89 A209 AB0B8G5A:>9 =03@C7:>9 =5ACICN A?>A>1=>ABL 3@C=B0 >A=>20=8O A208 A;54C5B ?@8=8<0BL ?> @57C;LB0B0< MB8E 8A?KB0=89. 3.6. 0AG5B ?> ?@>G=>AB8 <0B5@80;0 A209 8 A209=KE @>AB25@:>2 4>;65= ?@>872>48BLAO 2 A>>B25BAB288 A B@51>20=8O<8 !8 2.03.01-84, !8 II-23-81, !8 II-25-80, 4;O <>AB>2 8 384@>B5E=8G5A:8E A>>@C65=89  !8 2.05.03-84 8 !8 2.06.06-85 A CG5B>< 4>?>;=8B5;L=KE B@51>20=89, 87;>65==KE 2 ??.3.5, 3.7 8 3.8 8 2 @5:><5=4C5<>< ?@8;>65=88 1. 0AG5B M;5<5=B>2 65;57>15B>==KE :>=AB@C:F89 A209=KE DC=40<5=B>2 ?> >1@07>20=8N 8 @0A:@KB8N B@5I8= A;54C5B ?@>872>48BL 2 A>>B25BAB288 A B@51>20=8O<8 !8 2.03.01-84, 4;O <>AB>2 8 384@>B5E=8G5A:8E A>>@C65=89  B0:65 A CG5B>< B@51>20=89 !8 2.05.03-84 8 !8 2.06.06-85 A>>B25BAB25==>. 3.7. @8 @0AG5B5 A209 2A5E 284>2 ?> ?@>G=>AB8 <0B5@80;0 A20N A;54C5B @0AA<0B@820BL :0: AB5@65=L, 65AB:> 70I5<;5==K9 2 3@C=B5 2 A5G5=88, @0A?>;>65==>< >B ?>4>H2K @>AB25@:0 =0 @0AAB>O=88 /,, >?@545;O5<>< ?> D>@<C;5  EMBED Equation.2  (1) 345 l>  4;8=0 CG0AB:0 A208 >B ?>4>H2K 2KA>:>3> @>AB25@:0 4> C@>2=O ?;0=8@>2:8 3@C=B0, <; a(  :>MDD8F85=B 45D>@<0F88, 1/<, >?@545;O5<K9 ?> @5:><5=4C5<><C ?@8;>65=8N 1. A;8 4;O 1C@>2KE A209 8 A209->1>;>G5:, 703;C1;5==KE A:2>7L B>;IC =5A:0;L=>3> 3@C=B0 8 7045;0==KE 2 A:0;L=K9 3@C=B, >B=>H5=85  EMBED Equation.2  > h, B> A;54C5B ?@8=8<0BL  EMBED Equation.2  (345 h  3;C18=0 ?>3@C65=8O A208 8;8 A208->1>;>G:8, >BAG8BK205<0O >B 55 =86=53> :>=F0 4> C@>2=O ?;0=8@>2:8 3@C=B0 ?@8 2KA>:>< @>AB25@:5, ?>4>H20 :>B>@>3> @0A?>;>65=0 =04 3@C=B><, 8 4> ?>4>H2K @>AB25@:0 ?@8 =87:>< @>AB25@:5, ?>4>H20 :>B>@>3> >?8@05BAO 8;8 703;C1;5=0 2 =5A:0;L=K5 3@C=BK, 70 8A:;NG5=85< A8;L=>A68<05<KE, <). @8 @0AG5B5 ?> ?@>G=>AB8 <0B5@80;0 1C@>-8=J5:F8>==KE A209, ?@>@570NI8E A8;L=>A68<05<K5 3@C=BK A <>4C;5< 45D>@<0F88 =5000 :0 (50 :3A/A<2) 8 <5=55, @0AG5B=CN 4;8=C A209 =0 ?@>4>;L=K9 87381 ld, 2 7028A8<>AB8 >B 480<5B@0 A209 d A;54C5B ?@8=8<0BL @02=>9: ?@8  = 500-2000 :0 (5-20 :3A/A<2) ld = 25 d ?@8  = 2000-5000 :0 (20-50 :3A/A<2) ld = 15 d  A;CG05, 5A;8 ld ?@52KH05B B>;I8=C A;>O A8;L=>A68<05<>3> 3@C=B0 hg, @0AG5B=CN 4;8=C A;54C5B ?@8=8<0BL @02=>9 2hg. 3.8. @8 @0AG5B5 =0182=KE 8 1C@>2KE A209 (:@><5 A209-AB>;1>2 8 1C@>>?CA:=KE A209) ?> ?@>G=>AB8 <0B5@80;0 @0AG5B=>5 A>?@>B82;5=85 15B>=0 A;54C5B ?@8=8<0BL A CG5B>< :>MDD8F85=B0 CA;>289 @01>BK (cb = 0,85 A>3;0A=> C:070=8O< !8 2.03.01-84 8 :>MDD8F85=B0 CA;>289 @01>BK, CG8BK20NI53> 2;8O=85 A?>A>10 ?@>872>4AB20 A209=KE @01>B: 0) 2 ?K;520B>-3;8=8ABKE 3@C=B0E, 5A;8 2>7<>6=K 1C@5=85 A:2068= 8 15B>=8@>20=85 8E =0ACE> 157 :@5?;5=8O AB5=>: ?@8 ?>;>65=88 C@>2=O ?>475<=KE 2>4 2 ?5@8>4 AB@>8B5;LAB20 =865 ?OBK A209, (cb = 1,0; 1) 2 3@C=B0E, 1C@5=85 A:2068= 8 15B>=8@>20=85 2 :>B>@KE ?@>872>4OBAO =0ACE> A ?@8<5=5=85< 872;5:05<KE >1A04=KE B@C1, (cb = 0,9; 2) 2 3@C=B0E, 1C@5=85 A:2068= 8 15B>=8@>20=85 2 :>B>@KE >ACI5AB2;ONBAO ?@8 =0;8G88 2 =8E 2>4K A ?@8<5=5=85< 872;5:05<KE >1A04=KE B@C1, (cb = 0,8; 3) 2 3@C=B0E, 1C@5=85 A:2068= 8 15B>=8@>20=85 2 :>B>@KE 2K?>;=ONBAO ?>4 3;8=8ABK< @0AB2>@>< 8;8 ?>4 871KB>G=K< 402;5=85< 2>4K (157 >1A04=KE B@C1), (cb = 0,7. @8<5G0=85. 5B>=8@>20=85 ?>4 2>4>9 8;8 ?>4 3;8=8ABK< @0AB2>@>< A;54C5B ?@>872>48BL B>;L:> <5B>4>< 25@B8:0;L=> ?5@5<5I05<>9 B@C1K (") 8;8 A ?><>ILN 15B>=>=0A>A>2. 3.9. 0AG5BK :>=AB@C:F89 A209 2A5E 284>2 A;54C5B ?@>872>48BL =0 2>7459AB285 =03@C7>:, ?5@540205<KE =0 =8E >B 740=8O 8;8 A>>@C65=8O, 0 70182=KE A209, :@><5 B>3>, =0 CA8;8O, 2>7=8:0NI85 2 =8E >B A>1AB25==>3> 25A0 ?@8 873>B>2;5=88, A:;048@>20=88, B@0=A?>@B8@>20=88 A209, 0 B0:65 ?@8 ?>4J5<5 8E =0 :>?5@ 70 >4=C B>G:C, C40;5==CN >B 3>;>2K A209 =0 0,3l (345 l  4;8=0 A208). #A8;85 2 A205 (:0: 10;:5) >B 2>7459AB28O A>1AB25==>3> 25A0 A;54C5B >?@545;OBL A CG5B>< :>MDD8F85=B0 48=0<8G=>AB8, @02=>3>: 1,5  ?@8 @0AG5B5 ?> ?@>G=>AB8; 1,25  ?@8 @0AG5B5 ?> >1@07>20=8N 8 @0A:@KB8N B@5I8=.  MB8E A;CG0OE :>MDD8F85=B =0456=>AB8 ?> =03@C7:5 : A>1AB25==><C 25AC A208 ?@8=8<05BAO @02=K< 548=8F5. 3.10. 48=>G=CN A20N 2 A>AB025 DC=40<5=B0 8 2=5 53> ?> =5ACI59 A?>A>1=>AB8 3@C=B>2 >A=>20=8O A;54C5B @0AAG8BK20BL 8AE>4O 87 CA;>28O  EMBED Equation.2 , (2) 345 N  @0AG5B=0O =03@C7:0, ?5@540205<0O =0 A20N (?@>4>;L=>5 CA8;85, 2>7=8:0NI55 2 =59 >B @0AG5B=KE =03@C7>:, 459AB2CNI8E =0 DC=40<5=B ?@8 =081>;55 =52K3>4=>< 8E A>G5B0=88), >?@545;O5<0O 2 A>>B25BAB288 A C:070=8O<8 ?.3.11; Fd  @0AG5B=0O =5ACI0O A?>A>1=>ABL 3@C=B0 >A=>20=8O >48=>G=>9 A208, =07K205<0O 2 40;L=59H5< =5ACI59 A?>A>1=>ABLN A208 8 >?@545;O5<0O 2 A>>B25BAB288 A C:070=8O<8 @074. 4 8 5. >MDD8F85=B =0456=>AB8 ?@8=8<05BAO @02=K<: 1,2  5A;8 =5ACI0O A?>A>1=>ABL A209 >?@545;5=0 ?> @57C;LB0B0< ?>;52KE 8A?KB0=89 AB0B8G5A:>9 =03@C7:>9; 1,25  5A;8 =5ACI0O A?>A>1=>ABL A208 >?@545;5=0 @0AG5B>< ?> @57C;LB0B0< AB0B8G5A:>3> 7>=48@>20=8O 3@C=B0, ?> @57C;LB0B0< 48=0<8G5A:8E 8A?KB0=89 A208, 2K?>;=5==KE A CG5B>< C?@C38E 45D>@<0F89 3@C=B0, 0 B0:65 ?> @57C;LB0B0< ?>;52KE 8A?KB0=89 3@C=B>2 MB0;>==>9 A2059 8;8 A2059-7>=4><; 1,4  5A;8 =5ACI0O A?>A>1=>ABL A208 >?@545;5=0 @0AG5B><, 2 B>< G8A;5 ?> @57C;LB0B0< 48=0<8G5A:8E 8A?KB0=89 A209, 2K?>;=5==KE 157 CG5B0 C?@C38E 45D>@<0F89 3@C=B0; 1,4 (1,25)*  4;O DC=40<5=B>2 >?>@ <>AB>2 ?@8 =87:>< @>AB25@:5, 28AOG8E A20OE 8 A20OE-AB>9:0E, ?@8 2KA>:>< @>AB25@:5  B>;L:> ?@8 A20OE-AB>9:0E, 2>A?@8=8<0NI8E A68<0NICN =03@C7:C, =57028A8<> >B G8A;0 A209 2 DC=40<5=B5; ?@8 2KA>:>< 8;8 =87:>< @>AB25@:5, ?>4>H20 :>B>@>3> >?8@05BAO =0 A8;L=>A68<05<K9 3@C=B, 8 28AOG8E A20OE, 2>A?@8=8<0NI8E A68<0NICN =03@C7:C, 0 B0:65 ?@8 ;N1>< 2845 @>AB25@:0 8 28AOG8E A20OE 8 A20OE-AB>9:0E, 2>A?@8=8<0NI8E 2K45@3820NICN =03@C7:C, (k ?@8=8<05BAO 2 7028A8<>AB8 >B G8A;0 A209 2 DC=40<5=B5: ?@8 21 A205 8 1>;55 ............... 1,4 (1,25) >B 11 4> 20 A209 .................... 1,55 (1,4) " 6 " 10 "....................... 1,65 (1,5) " 1 " 5 "....................... 1,75 (1,6) 4;O DC=40<5=B>2 87 >48=>G=>9 A208 ?>4 :>;>==C ?@8 =03@C7:5 =0 70182=CN A20N :204@0B=>3> A5G5=8O 1>;55 600 : (60 BA) 8 =0182=CN A20N  1>;55 2500 : (250 BA) 7=0G5=85 :>MDD8F85=B0 (k A;54C5B ?@8=8<0BL @02=K< 1,4, 5A;8 =5ACI0O A?>A>1=>ABL A208 >?@545;5=0 ?> @57C;LB0B0< 8A?KB0=89 AB0B8G5A:>9 =03@C7:>9, 8 1,6, 5A;8 =5ACI0O A?>A>1=>ABL A208 >?@545;5=0 4@C38<8 A?>A>10<8; (k = 1  4;O A?;>H=KE A209=KE ?>;59 65AB:8E A>>@C65=89 A ?@545;L=>9 >A04:>9 30 A< 8 1>;55 (?@8 G8A;5 A209 1>;55 100), 5A;8 =5ACI0O A?>A>1=>ABL A208 >?@545;5=0 ?> @57C;LB0B0< AB0B8G5A:8E 8A?KB0=89. @8<5G0=8O: 1. @8 @0AG5B5 A209 2A5E 284>2 :0: =0 2402;820NI85, B0: 8 =0 2K45@3820NI85 =03@C7:8 ?@>4>;L=>5 CA8;85, 2>7=8:0NI55 2 A205 >B @0AG5B=>9 =03@C7:8 N, A;54C5B >?@545;OBL A CG5B>< A>1AB25==>3> 25A0 A208, ?@8=8<05<>3> A :>MDD8F85=B>< =0456=>AB8 ?> =03@C7:5, C25;8G820NI8< @0AG5B=>5 CA8;85. 2. A;8 @0AG5B A209=KE DC=40<5=B>2 ?@>872>48BAO A CG5B>< 25B@>2KE 8 :@0=>2KE =03@C7>:, B> 2>A?@8=8<05<CN :@09=8<8 A20O<8 @0AG5B=CN =03@C7:C 4>?CA:05BAO ?>2KH0BL =0 20 % (:@><5 DC=40<5=B>2 >?>@ ;8=89 M;5:B@>?5@540G8). A;8 A208 DC=40<5=B0 >?>@K <>AB0 2 =0?@02;5=88 459AB28O 2=5H=8E =03@C7>: >1@07CNB >48= 8;8 =5A:>;L:> @O4>2, B> ?@8 CG5B5 (A>2<5AB=>< 8;8 @0745;L=><) =03@C7>: >B B>@<>65=8O, 402;5=8O 25B@0, ;L40 8 =020;0 AC4>2, 2>A?@8=8<05<KE =081>;55 =03@C65==>9 A2059, @0AG5B=CN =03@C7:C 4>?CA:05BAO ?>2KH0BL =0 10 % ?@8 G5BK@5E A20OE 2 @O4C 8 =0 20 % ?@8 2>AL<8 A20OE 8 1>;55. @8 ?@><56CB>G=>< G8A;5 A209 ?@>F5=B ?>2KH5=8O @0AG5B=>9 =03@C7:8 >?@545;O5BAO 8=B5@?>;OF859. *  A:>1:0E 40=K 7=0G5=8O 2 A;CG05, :>340 =5ACI0O A?>A>1=>ABL A208 >?@545;5=0 ?> @57C;LB0B0< ?>;52KE 8A?KB0=89 AB0B8G5A:>9 =03@C7:>9 8;8 @0AG5B>< ?> @57C;LB0B0< AB0B8G5A:>3> 7>=48@>20=8O 3@C=B>2. 3.11. 0AG5B=CN =03@C7:C =0 A20N N, : (BA), A;54C5B >?@545;OBL, @0AA<0B@820O DC=40<5=B :0: @0<=CN :>=AB@C:F8N, 2>A?@8=8<0NICN 25@B8:0;L=K5 8 3>@87>=B0;L=K5 =03@C7:8 8 873810NI85 <><5=BK. ;O DC=40<5=B>2 A 25@B8:0;L=K<8 A20O<8 @0AG5B=CN =03@C7:C =0 A20N 4>?CA:05BAO >?@545;OBL ?> D>@<C;5  EMBED Equation.2 , (3) 345 Nd  @0AG5B=0O A68<0NI0O A8;0, : (Bc); Mx, My  @0AG5B=K5 873810NI85 <><5=BK, :(< (Bc(<), >B=>A8B5;L=> 3;02=KE F5=B@0;L=KE >A59 E 8 C ?;0=0 A209 2 ?;>A:>AB8 ?>4>H2K @>AB25@:0; n  G8A;> A209 2 DC=40<5=B5; xi, yi  @0AAB>O=8O >B 3;02=KE >A59 4> >A8 :064>9 A208, <; E, C  @0AAB>O=8O >B 3;02=KE >A59 4> >A8 :064>9 A208, 4;O :>B>@>9 2KG8A;O5BAO @0AG5B=0O =03@C7:0, <. 3.12. >@87>=B0;L=CN =03@C7:C, 459AB2CNICN =0 DC=40<5=B A 25@B8:0;L=K<8 A20O<8 >48=0:>2>3> ?>?5@5G=>3> A5G5=8O, 4>?CA:05BAO ?@8=8<0BL @02=><5@=> @0A?@545;5==>9 <564C 2A5<8 A20O<8. 3.13. @>25@:0 CAB>9G82>AB8 A209=>3> DC=40<5=B0 8 53> >A=>20=8O 4>;6=0 ?@>872>48BLAO 2 A>>B25BAB288 A B@51>20=8O<8 !8 2.02.01-83 A CG5B>< 459AB28O 4>?>;=8B5;L=KE 3>@87>=B0;L=KE @50:F89 >B A209, ?@8;>65==KE : A428305<>9 G0AB8 3@C=B0. 3.14. !208 8 A209=K5 DC=40<5=BK A;54C5B @0AAG8BK20BL ?> ?@>G=>AB8 <0B5@80;0 8 ?@>872>48BL ?@>25@:C CAB>9G82>AB8 DC=40<5=B>2 ?@8 459AB288 A8; <>@>7=>3> ?CG5=8O, 5A;8 >A=>20=85 A;>65=> ?CG8=8ABK<8 3@C=B0<8. 3.15. 0AG5B A209 8 A209=KE DC=40<5=B>2 ?> 45D>@<0F8O< A;54C5B ?@>872>48BL 8AE>4O 87 CA;>28O s ( su, (4) 345 s  A>2<5AB=0O 45D>@<0F8O A208, A209=>3> DC=40<5=B0 8 A>>@C65=8O (>A04:0, ?5@5<5I5=85, >B=>A8B5;L=0O @07=>ABL >A04>: A209, A209=KE DC=40<5=B>2 8 B.?.), >?@545;O5<0O @0AG5B>< ?> C:070=8O< ??. 3.3, 3.4, @074. 6 8 @5:><5=4C5<>3> ?@8;>65=8O 1; su  ?@545;L=>5 7=0G5=85 A>2<5AB=>9 45D>@<0F88 >A=>20=8O A208, A209=>3> DC=40<5=B0 8 A>>@C65=8O, CAB0=02;8205<>5 ?> C:070=8O< !8 2.02.01-83, 0 4;O <>AB>2  !8 2.05.03-84. 4. !'" !#) !!!" ! !-!" 4.1. 5ACICN A?>A>1=>ABL Fd : (Bc), 70182=>9 A208, A208->1>;>G:8, =0182=>9 8 1C@>2>9 A209, >?8@0NI8EAO =0 A:0;L=K9 3@C=B, 0 B0:65 70182=>9 A208, >?8@0NI59AO =0 <0;>A68<05<K9 3@C=B (A<. ?@8<5G0=85 : ?.2.2), A;54C5B >?@545;OBL ?> D>@<C;5 Fd = (c RA, (5) 345 (c  :>MDD8F85=B CA;>289 @01>BK A208 2 3@C=B5, ?@8=8<05<K9 (c = 1; A  ?;>I04L >?8@0=8O =0 3@C=B A208, <2, ?@8=8<05<0O 4;O A209 A?;>H=>3> A5G5=8O @02=>9 ?;>I048 ?>?5@5G=>3> A5G5=8O, 0 4;O A209 ?>;KE :@C3;>3> A5G5=8O 8 A209->1>;>G5:  @02=>9 ?;>I048 ?>?5@5G=>3> A5G5=8O =5BB> ?@8 >BACBAB288 70?>;=5=8O 8E ?>;>AB8 15B>=>< 8 @02=>9 ?;>I048 ?>?5@5G=>3> A5G5=8O 1@CBB> ?@8 70?>;=5=88 MB>9 ?>;>AB8 15B>=>< =0 2KA>BC =5 <5=55 B@5E 55 480<5B@>2. 0AG5B=>5 A>?@>B82;5=85 3@C=B0 R ?>4 =86=8< :>=F>< A208-AB>9:8, :0 (BA/<2), A;54C5B ?@8=8<0BL: 0) 4;O 2A5E 284>2 70182=KE A209, >?8@0NI8EAO =0 A:0;L=K5 8 <0;>A68<05<K5 3@C=BK, R = 20 000 :0 (2000 BA/<2); 1) 4;O =0182=KE 8 1C@>2KE A209 8 A209->1>;>G5:, 70?>;=O5<KE 15B>=>< 8 7045;0==KE 2 =52K25B@5;K9 A:0;L=K9 3@C=B (157 A;01KE ?@>A;>5:) =5 <5=55 G5< =0 0,5 <,  ?> D>@<C;5  EMBED Equation.2 , (6) 345 RA,?  =>@<0B82=>5 7=0G5=85 ?@545;0 ?@>G=>AB8 =0 >4=>>A=>5 A60B85 A:0;L=>3> 3@C=B0 2 2>4>=0AKI5==>< A>AB>O=88, :0 (BA/<2). (g  :>MDD8F85=B =0456=>AB8 ?> 3@C=BC, ?@8=8<05<K9 (g = 1,4; ld  @0AG5B=0O 3;C18=0 7045;:8 =0182=>9 8 1C@>2>9 A209 8 A208->1>;>G:8 2 A:0;L=K9 3@C=B, <; df  =0@C6=K9 480<5B@ 7045;0==>9 2 A:0;L=K9 3@C=B G0AB8 =0182=>9 8 1C@>2>9 A209 8 A208->1>;>G:8, <; 2) 4;O A209->1>;>G5:, @02=><5@=> >?8@05<KE =0 ?>25@E=>ABL =52K25B@5;>3> A:0;L=>3> 3@C=B0, ?@8:@KB>3> A;>5< =5A:0;L=KE =5@07<K205<KE 3@C=B>2 B>;I8=>9 =5 <5=55 B@5E 480<5B@>2 A208->1>;>G:8,  ?> D>@<C;5  EMBED Equation.2  (7) 345 RA,?, (g B> 65, GB> 2 D>@<C;5 (6). @8<5G0=85. @8 =0;8G88 2 >A=>20=88 =0182=KE, 1C@>2KE A209 8 A209->1>;>G5: 2K25B@5;KE, 0 B0:65 @07<O3G05<KE A:0;L=KE 3@C=B>2 8E ?@545; ?@>G=>AB8 =0 >4=>>A=>5 A60B85 A;54C5B ?@8=8<0BL ?> @57C;LB0B0< 8A?KB0=89 HB0<?0<8 8;8 ?> @57C;LB0B0< 8A?KB0=89 A209 8 A209->1>;>G5: AB0B8G5A:>9 =03@C7:>9. !/' + ! !%   !-',  #+  +  #" 4.2. 5ACICN A?>A>1=>ABL Fd, : (BA), 28AOG59 70182=>9 A208 8 A208->1>;>G:8, ?>3@C605<>9 157 2K5<:8 3@C=B0, @01>B0NI8E =0 A68<0NICN =03@C7:C, A;54C5B >?@545;OBL :0: AC<<C A8; @0AG5B=KE A>?@>B82;5=89 3@C=B>2 >A=>20=8O ?>4 =86=8< :>=F>< A208 8 =0 55 1>:>2>9 ?>25@E=>AB8 ?> D>@<C;5  EMBED Equation.2  (8) 345 (c  :>MDD8F85=B CA;>289 @01>BK A208 2 3@C=B5, ?@8=8<05<K9 (c = 1; R  @0AG5B=>5 A>?@>B82;5=85 3@C=B0 ?>4 =86=8< :>=F>< A208, :0 (BA/<2), ?@8=8<05<>5 ?> B01;.1; A  ?;>I04L >?8@0=8O =0 3@C=B A208, <2, ?@8=8<05<0O ?> ?;>I048 ?>?5@5G=>3> A5G5=8O A208 1@CBB> 8;8 ?> ?;>I048 ?>?5@5G=>3> A5G5=8O :0<CD;5B=>3> CH8@5=8O ?> 53> =081>;LH5<C 480<5B@C, 8;8 ?> ?;>I048 A208->1>;>G:8 =5BB>; u  =0@C6=K9 ?5@8<5B@ ?>?5@5G=>3> A5G5=8O A208, <; fi  @0AG5B=>5 A>?@>B82;5=85 i-3> A;>O 3@C=B0 >A=>20=8O =0 1>:>2>9 ?>25@E=>AB8 A208, :0 (BA/<2), ?@8=8<05<>5 ?> B01;.2; hi  B>;I8=0 1-3> A;>O 3@C=B0, A>?@8:0A0NI53>AO A 1>:>2>9 ?>25@E=>ABLN A208, <; (cR (cf  :>MDD8F85=BK CA;>289 @01>BK 3@C=B0 A>>B25BAB25==> ?>4 =86=8< :>=F>< 8 =0 1>:>2>9 ?>25@E=>AB8 A208, CG8BK20NI85 2;8O=85 A?>A>10 ?>3@C65=8O A208 =0 @0AG5B=K5 A>?@>B82;5=8O 3@C=B0 8 ?@8=8<05<K5 ?> B01;. 3.  D>@<C;5 (8) AC<<8@>20BL A>?@>B82;5=8O 3@C=B0 A;54C5B ?> 2A5< A;>O< 3@C=B0, ?@>945==K< A2059, 70 8A:;NG5=85< A;CG052, :>340 ?@>5:B>< ?@54CA<0B@8205BAO ?;0=8@>2:0 B5@@8B>@88 A@57:>9 8;8 2>7<>65= @07<K2 3@C=B0.  MB8E A;CG0OE A;54C5B AC<<8@>20BL A>?@>B82;5=8O 2A5E A;>52 3@C=B0, @0A?>;>65==KE A>>B25BAB25==> =865 C@>2=O ?;0=8@>2:8 (A@57:8) 8 4=0 2>4>5<0 ?>A;5 53> <5AB=>3> @07<K20 ?@8 @0AG5B=>< ?02>4:5. "01;8F0 1 ;C18=0 0AG5B=K5 A>?@>B82;5=8O ?>4 =86=8< :>=F>< 70182=KE A209 8 A209->1>;>G5:, ?>3@C605<KE 157 2K5<:8 3@C=B0, R, :0 B5/<)?>3@C65=8O =86=53> :>=F0 A208, <?5AG0=KE 3@C=B>2 A@54=59 ?;>B=>AB83@025;8ABKE:@C?=KE A@54=59 :@C?=>AB8<5;:8E?K;520BKE ?K;520B>-3;8=8ABKE 3@C=B>2 ?@8 ?>:070B5;5 B5:CG5AB8 / @02=><00,10,20,30,40,50,63 7500 (750) 6600 (660) 4000 (400) 3000 (300)3100 (310) 2000 (200)2000 (200) 1200 (120)1100 (110)600 (60)4 8300 (830)6800 (680) 5100 (510) 3800 (380)3200 (320) 2500 (250)2100(210) 1600 (160)1250 (125)700 (70)58800 (880)7000 (700) 6200 (620) 4000 (400)3400 (340) 2800 (280)2200 (220) 2000 (200)1300(130)800 (80)79700 (970)7300 (730) 6900 (690) 4300 (430)3700 (370) 3300 (330)2400 (240) 2200 (220)1400 (140)850 (85)1010500(1050)7700 (770) 7300 (730) 5000 (500)4000 (400) 3500 (350)2600 (260) 2400 (240)1500 (150)900 (900)1511700(1170)8200 (820) 7500 (750) 5600 (560)4400 (440) 4000 (400)2900 (290)1650(165)1000 (100)2012600 (1260)8500 (850)6200 (620)4800 (480) 4500 (450) 3200 (320)1800 (180)1100(110)2513400 (1340)9000 (900)6800 (680)5200 (520) 3500 (350)1950 (195)1200 (120)3014 200 (1420)9500 (950)7400 (740)5600 (560) 3800 (380)2100 (210)1300 (130)3515000(1500)10000(1000)8000 (800)6000 (600)4100 (410)2250 (225)1400 (140)@8<5G0=8O: 1. 04 G5@B>9 40=K 7=0G5=8O R 4;O ?5AG0=KE 3@C=B>2, ?>4 G5@B>9  4;O ?K;520B>-3;8=8ABKE. 2.  B01;. 1 8 2 3;C18=C ?>3@C65=8O =86=53> :>=F0 A208 8 A@54=NN 3;C18=C @0A?>;>65=8O A;>O 3@C=B0 ?@8 ?;0=8@>2:5 B5@@8B>@88 A@57:>9, ?>4AK?:>9, =0<K2>< 4> 3 < A;54C5B ?@8=8<0BL >B C@>2=O ?@8@>4=>3> @5;L5D0, 0 ?@8 A@57:5, ?>4AK?:5, =0<K25 >B 3 4> 10 <  >B CA;>2=>9 >B<5B:8, @0A?>;>65==>9 A>>B25BAB25==> =0 3 < 2KH5 C@>2=O A@57:8 8;8 =0 3 < =865 C@>2=O ?>4AK?:8. ;C18=C ?>3@C65=8O =86=53> :>=F0 A208 8 A@54=NN 3;C18=C @0A?>;>65=8O A;>O 3@C=B0 2 2>4>5<5 A;54C5B ?@8=8<0BL >B C@>2=O 4=0 ?>A;5 >1I53> @07<K20 @0AG5B=K< ?02>4:><, =0 1>;>B0E  >B C@>2=O 4=0 1>;>B0. @8 ?@>5:B8@>20=88 ?CB5?@>2>4>2 G5@57 2K5<:8 3;C18=>9 4> 6 < 4;O A209, 7018205<KE <>;>B0<8 157 ?>4<K20 8;8 CAB@>9AB20 ;845@=KE A:2068=, 3;C18=C ?>3@C65=8O 2 3@C=B =86=53> :>=F0 A208 2 B01;.1 A;54C5B ?@8=8<0BL >B C@>2=O ?@8@>4=>3> @5;L5D0 2 <5AB5 A>>@C65=8O DC=40<5=B0. ;O 2K5<>: 3;C18=>9 1>;55 6 < 3;C18=C ?>3@C65=8O A209 A;54C5B ?@8=8<0BL :0: 4;O 2K5<>: 3;C18=>9 6<. 3. ;O ?@><56CB>G=KE 3;C18= ?>3@C65=8O A209 8 ?@><56CB>G=KE 7=0G5=89 ?>:070B5;O B5:CG5AB8 IL ?K;520B>-3;8=8ABKE 3@C=B>2 7=0G5=8O R 8 fi 2 B01;. 1 8 2 >?@545;ONBAO 8=B5@?>;OF859. 4. ;O ?;>B=KE ?5AG0=KE 3@C=B>2, AB5?5=L ?;>B=>AB8 :>B>@KE >?@545;5=0 ?> 40==K< AB0B8G5A:>3> 7>=48@>20=8O, 7=0G5=8O R ?> B01;. 1 4;O A209, ?>3@C65==KE 157 8A?>;L7>20=8O ?>4<K20 8;8 ;845@=KE A:2068=, A;54C5B C25;8G8BL =0 100 %. @8 >?@545;5=88 AB5?5=8 ?;>B=>AB8 3@C=B0 ?> 40==K< 4@C38E 284>2 8=65=5@=KE 87KA:0=89 8 >BACBAB288 40==KE AB0B8G5A:>3> 7>=48@>20=8O 4;O ?;>B=KE ?5A:>2 7=0G5=8O R ?> B01;. 1 A;54C5B C25;8G8BL =0 60 %, => =5 1>;55 G5< 4> 20 000 :0 (2000 BA/<2). 5. =0G5=8O @0AG5B=KE A>?@>B82;5=89 R ?> B01;. 1 4>?CA:05BAO 8A?>;L7>20BL ?@8 CA;>288, 5A;8 703;C1;5=85 A209 2 =5@07<K205<K9 8 =5A@5705<K9 3@C=B A>AB02;O5B =5 <5=55, <: 4,0  4;O <>AB>2 8 384@>B5E=8G5A:8E A>>@C65=89; 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2 ?K;520B>-3;8=8ABKE 3@C=B0E A>?@>B82;5=85 fi =0 CG0AB:5 AB2>;0, @0A?>;>65==>3> 2 AB2>@5 CH8@5=8O, A;54C5B ?@8=8<0BL @02=K< =C;N. 2. 0AG5B=K5 A>?@>B82;5=8O 3@C=B>2 R 8 fi 2 D>@<C;5 (8) 4;O ;5AA>2KE ?K;520B>-3;8=8ABKE 3@C=B>2 ?@8 3;C18=5 ?>3@C65=8O A209 1>;55 5 < A;54C5B ?@8=8<0BL ?> 7=0G5=8O<, C:070==K< 2 B01;. 1 8 2 4;O 3;C18=K 5 <. @><5 B>3>, 4;O MB8E 3@C=B>2 2 A;CG05 2>7<>6=>AB8 8E 70<0G820=8O @0AG5B=K5 A>?@>B82;5=8O R 8 fi, C:070==K5 2 B01;. 1 8 2, A;54C5B ?@8=8<0BL ?@8 ?>:070B5;5 B5:CG5AB8, A>>B25BAB2CNI5< ?>;=><C 2>4>=0AKI5=8N 3@C=B0. 4.3. ;O 70182=KE A209, >?8@0NI8EAO =86=8< :>=F>< =0 @KE;K5 ?5AG0=K5 3@C=BK 8;8 =0 ?K;520B>-3;8=8ABK5 3@C=BK A ?>:070B5;5< B5:CG5AB8 IL > 0,6, =5ACICN A?>A>1=>ABL A;54C5B >?@545;OBL ?> @57C;LB0B0< AB0B8G5A:8E 8A?KB0=89 A209. 4.4. 5ACICN A?>A>1=>ABL ?8@0<840;L=>9, B@0?5F5840;L=>9 8 @><1>284=>9 A209, ?@>@570NI8E ?5AG0=K5 8 ?K;520B>-3;8=8ABK5 3@C=BK, Fd : (BA), A =0:;>=>< 1>:>2KE 3@0=59 i@ ( 0,025 A;54C5B >?@545;OBL ?> D>@<C;5  EMBED Equation.2  (9) 345 (c, R, A, Fd, hi, fi  B> 65, GB> 2 D>@<C;5 (8); ui  =0@C6=K9 ?5@8<5B@ i-3> A5G5=8O A208, <; u0,i  AC<<0 @07<5@>2 AB>@>= i-3> ?>?5@5G=>3> A5G5=8O A208, <, :>B>@K5 8<5NB =0:;>= : >A8 A208; ip  =0:;>= 1>:>2KE 3@0=59 A208 2 4>;OE 548=8FK; Ei  <>4C;L 45D>@<0F88 i-3> A;>O 3@C=B0, >:@C60NI53> 1>:>2CN ?>25@E=>ABL A208, :0 (BA/<2), >?@545;O5<K9 ?> @57C;LB0B0< :><?@5AA8>==KE 8A?KB0=89; ki  :>MDD8F85=B, 7028AOI89 >B 2840 3@C=B0 8 ?@8=8<05<K9 ?> B01;. 4; (r  @5>;>38G5A:89 :>MDD8F85=B, ?@8=8<05<K9 (r = 0,8. @8<5G0=8O: 1. @8 @><1>284=KE A20OE AC<<8@>20=85 A>?@>B82;5=89 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 CG0AB:>2 A >1@0B=K< =0:;>=>< 2 D>@<C;5 (9) =5 ?@>872>48BAO. 2. 0AG5B ?8@0<840;L=KE A209 A =0:;>=>< 1>:>2KE 3@0=59 ip > 0,025 4>?CA:05BAO ?@>872>48BL 2 A>>B25BAB288 A B@51>20=8O<8 @5:><5=4C5<>3> ?@8;>65=8O 2 ?@8 =0;8G88 @57C;LB0B>2 ?@5AA8><5B@8G5A:8E 8A?KB0=89, 0 ?@8 8E >BACBAB288  ?> D>@<C;5 (9), ?@8=8<0O 7=0G5=85 ip @02=K< 0,025. "01;8F0 4 @C=BK>MDD8F85=B ki5A:8 8 AC?5A80,5!C3;8=:80,6;8=K:?@8 Ip = 180,7?@8 Ip = 250,9@8<5G0=85. ;O 3;8= A G8A;>< ?;0AB8G=>AB8 18 < Ip < 25 7=0G5=8O :>MDD8F85=B0 ki, >?@545;ONBAO 8=B5@?>;OF859.4.5. 5ACICN A?>A>1=>ABL Fdu, : (BA), 28AOG59 70182=>9 A208 8 A208->1>;>G:8, ?>3@C605<>9 157 2K5<:8 3@C=B0, @01>B0NI8E =0 2K45@3820NICN =03@C7:C, A;54C5B >?@545;OBL ?> D>@<C;5 Fdu =  EMBED Equation.2  , (10) 345 u, (cf, hi, fi  B> 65, GB> 2 D>@<C;5 (8); (c, :>MDD8F85=B CA;>289 @01>BK; 4;O A209, ?>3@C605<KE 2 3@C=B =0 3;C18=C <5=55 4 <, (c = 0,6, =0 3;C18=C 4 < 8 1>;55, (c = 0,8  4;O 2A5E 740=89 8 A>>@C65=89 :@><5 >?>@ 2>74CH=KE ;8=89 M;5:B@>?5@540G8, 4;O :>B>@KE :>MDD8F85=B ?@8=8<05BAO ?> C:070=8O< @074. 12. @8<5G0=85.  DC=40<5=B0E >?>@ <>AB>2 =5 4>?CA:05BAO @01>B0 A209 =0 2K45@3820=85 ?@8 459AB288 >4=8E ?>AB>O==KE =03@C7>:. !/' +  # + !  !-', /+ " 4.6. 5ACICN A?>A>1=>ABL Fd : (BA), =0182=>9 8 1C@>2>9 A209 A CH8@5=85< 8 157 CH8@5=8O, 0 B0:65 A208->1>;>G:8, ?>3@C605<>9 A 2K5<:>9 3@C=B0 8 70?>;=O5<>9 15B>=><, @01>B0NI8E =0 A68<0NICN =03@C7:C, A;54C5B >?@545;OBL ?> D>@<C;5  EMBED Equation.2  (11) 345 (c  :>MDD8F85=B CA;>289 @01>BK A208; 2 A;CG05 >?8@0=8O 55 =0 ?K;520B>-3;8=8ABK5 3@C=BK A> AB5?5=LN 2;06=>AB8 Sp < 0,9 8 =0 ;5AA>2K5 3@C=BK (c = 0,8, 2 >AB0;L=KE A;CG0OE (c = 1; (cR  :>MDD8F85=B CA;>289 @01>BK 3@C=B0 ?>4 =86=8< :>=F>< A208; (cR = 1 2> 2A5E A;CG0OE, 70 8A:;NG5=85< A209 A :0<CD;5B=K<8 CH8@5=8O<8, 4;O :>B>@KE MB>B :>MDD8F85=B A;54C5B ?@8=8<0BL (cR = 1,3, 8 A209 A CH8@5=85<, 15B>=8@C5<K< ?>42>4=K< A?>A>1><, 4;O :>B>@KE (cR = 0,9, 0 B0:65 >?>@ 2>74CH=KE ;8=89 M;5:B@>?5@540G8, 4;O :>B>@KE :>MDD8F85=B ?@8=8<05BAO ?> C:070=8O< @074. 12; R  @0AG5B=>5 A>?@>B82;5=85 3@C=B0 ?>4 =86=8< :>=F>< A208, :0 (BA/<2), ?@8=8<05<>5 ?> C:070=8O< ?. 4.7, 0 4;O =0182=>9, 873>B>2;O5<>9 ?> B5E=>;>388, C:070==>9 2 ?. 2.4, 0, 1,  ?> B01;. 1; A  ?;>I04L >?8@0=8O =0 3@C=B A208, <2, ?@8=8<05<0O @02=>9: 4;O =0182=KE 8 1C@>2KE A209 157 CH8@5=8O  ?;>I048 ?>?5@5G=>3> A5G5=8O A208; 4;O =0182=KE 8 1C@>2KE A209 A CH8@5=85<  ?;>I048 ?>?5@5G=>3> A5G5=8O CH8@5=8O 2 <5AB5 =081>;LH53> 53> 480<5B@0; 4;O A209->1>;>G5:, 70?>;=O5<KE 15B>=><,  ?;>I048 ?>?5@5G=>3> A5G5=8O >1>;>G:8 1@CBB>; u  ?5@8<5B@ ?>?5@5G=>3> A5G5=8O AB2>;0 A208, <; (cf  :>MDD8F85=B CA;>289 @01>BK 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 A208, 7028AOI89 >B A?>A>10 >1@07>20=8O A:2068=K 8 CA;>289 15B>=8@>20=8O 8 ?@8=8<05<K9 ?> B01;. 5; fi  @0AG5B=>5 A>?@>B82;5=85 i-3o A;>O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 AB2>;0 A208, :0 (BA/<2), ?@8=8<05<>5 ?> B01;. 2; hi  B> 65, GB> 2 D>@<C;5 (8). @8<5G0=85. !>?@>B82;5=85 ?5AG0=KE 3@C=B>2 =0 1>:>2>9 ?>25@E=>AB8 A208 A CH8@5=85< A;54C5B CG8BK20BL =0 CG0AB:5 >B C@>2=O ?;0=8@>2:8 4> C@>2=O ?5@5A5G5=8O AB2>;0 A208 A ?>25@E=>ABLN 2>>1@0605<>3> :>=CA0, 8<5NI53> 2 :0G5AB25 >1@07CNI59 ;8=8N, :0A0NICNAO ?>25@E=>AB8 CH8@5=8O ?>4 C3;>< (I/2 : >A8 A208, 345 (  >A@54=5==>5 (?> A;>O<) @0AG5B=>5 7=0G5=85 C3;0 2=CB@5==53> B@5=8O 3@C=B0, 70;530NI53> 2 ?@545;0E C:070==>3> :>=CA0, >?@545;O5<>5 2 A>>B25BAB288 A B@51>20=8O<8 ?.3.5. !>?@>B82;5=85 ?K;520B>-3;8=8ABKE 3@C=B>2 4>?CA:05BAO CG8BK20BL ?> 2A59 4;8=5 AB2>;0. 4.7. 0AG5B=>5 A>?@>B82;5=85 R, :0 (BA/<2), 3@C=B0 ?>4 =86=8< :>=F>< A208 A;54C5B ?@8=8<0BL: 0) 4;O :@C?=>>1;><>G=KE 3@C=B>2 A ?5AG0=K< 70?>;=8B5;5< 8 ?5AG0=KE 3@C=B>2 2 >A=>20=88 =0182=>9 8 1C@>2>9 A209 A CH8@5=85< 8 157 CH8@5=8O, A208->1>;>G:8, ?>3@C605<>9 A ?>;=K< C40;5=85< 3@C=B>2>3> O4@0,  ?> D>@<C;5 (12), 0 A208->1>;>G:8, ?>3@C605<>9 A A>E@0=5=85< 3@C=B>2>3> O4@0 87 C:070==KE 3@C=B>2 =0 2KA>BC 0,5 < 8 1>;55,  ?> D>@<C;5 (13): R = 0,75 (4 ((1 ((I d + (2 (3 (I h); (12) R = (4 ((1 ((I d + (2 (3 (I h); (13) 345 (1, (2 (3, (4  157@07<5@=K5 :>MDD8F85=BK, ?@8=8<05<K5 ?> B01;. 6 2 7028A8<>AB8 >B @0AG5B=>3> 7=0G5=8O C3;0 2=CB@5==53> B@5=8O 3@C=B0 >A=>20=8O, >?@545;5==>3> 2 A>>B25BAB288 A C:070=8O<8 ?. 3.5; ((I  @0AG5B=>5 7=0G5=85 C45;L=>3> 25A0 3@C=B0, :/<3 (BA/<3), 2 >A=>20=88 A208 (?@8 2>4>=0AKI5==KE 3@C=B0E A CG5B>< 2725H820NI53> 459AB28O 2>4K); (I  >A@54=5==>5 (?> A;>O<) @0AG5B=>5 7=0G5=85 C45;L=>3> 25A0 3@C=B>2, :/<3 (BA/<3), @0A?>;>65==KE 2KH5 =86=53> :>=F0 A208 (?@8 2>4>=0AKI5==KE 3@C=B0E A CG5B>< 2725H820NI53> 459AB28O 2>4K); d  480<5B@, <, =0182=>9 8 1C@>2>9 A209, 480<5B@ CH8@5=8O (4;O A208 A CH8@5=85<), A208->1>;>G:8 8;8 480<5B@ A:2068=K 4;O A208-AB>;10, ><>=>;8G5==>3> 2 3@C=B5 F5<5=B=>-?5AG0=K< @0AB2>@><; h  3;C18=0 70;>65=8O, <, =86=53> :>=F0 A208 8;8 55 CH8@5=8O, >BAG8BK205<0O >B ?@8@>4=>3> @5;L5D0 8;8 C@>2=O ?;0=8@>2:8 (?@8 ?;0=8@>2:5 A@57:>9), 4;O >?>@ <>AB>2  >B 4=0 2>4>5<0 ?>A;5 53> >1I53> @07<K20 ?@8 @0AG5B=>< ?02>4:5; 1) 4;O ?K;520B>-3;8=8ABKE 3@C=B>2 2 >A=>20=88  ?> B01;. 7. @8<5G0=85. #:070=8O ?. 4.7 >B=>AOBAO : A;CG0O<, :>340 >15A?5G8205BAO 703;C1;5=85 A209 2 3@C=B, ?@8=OBK9 70 >A=>20=85 8E =86=8E :>=F>2, =5 <5=55 G5< =0 480<5B@ A208 (8;8 CH8@5=8O 4;O A208 A CH8@5=85<), => =5 <5=55 G5< =0 2 <. "01;8F0 5 !208 8 A?>A>1K 8E CAB@>9AB20>MDD8F85=B CA;>289 @01>BK A208 (cf2 ?5A:0E2 AC?5AOE2 AC3;8=:0E2 3;8=0E1. 0182=K5 ?> ?. 2.5, 0 ?@8 70182:5 8=25=B0@=>9 B@C1K A =0:>=5G=8:><0,80,80,80,72. 0182=K5 281@>HB0<?>20==K50,90,90,90,93. C@>2K5, 2 B>< G8A;5 A CH8@5=85<, 15B>=8@C5<K5:0) ?@8 >BACBAB288 2>4K 2 A:2068=5 (ACE8< A?>A>1><), 0 B0:65 ?@8 8A?>;L7>20=88 >1A04=KE 8=25=B0@=KE B@C10,70,70,70,61) ?>4 2>4>9 8;8 ?>4 3;8=8ABK< @0AB2>@><0,60,60,60,62) 65AB:8<8 15B>==K<8 A<5AO<8, C:;04K205<K<8 A ?><>ILN 3;C18==>9 281@0F88 (ACE8< A?>A>1><)0,80,80,80,74. C@>=0182=K5, ?>;K5 :@C3;K5, CAB@08205<K5 ?@8 >BACBAB288 2>4K 2 A:2068=5 A ?><>ILN 281@>A5@45G=8:00,80,80,80,75. !208->1>;>G:8, ?>3@C605<K5 281@8@>20=85< A 2K5<:>9 3@C=B01,00,90,70,66. !208-AB>;1K0,70,70,70,67. C@>8=J5:F8>==K5, 873>B>2;O5<K5 ?>4 70I8B>9 >1A04=KE B@C1 8;8 15=B>=8B>2>3> @0AB2>@0 A >?@5AA>2:>9 402;5=85< 200-400 :0 (2-4 0B<)0,90,80,80,8"01;8F0 6 >MDD8F85=BK 0AG5B=K5 7=0G5=8O C3;0 2=CB@5==53> B@5=8O 3@C=B0 (I, 3@04.232527293133353739(19,512,617,324,434,648,671,3108,0163,0(218,624,832,845,564,087,6127,0185,0260,0(3 ?@8 h/d @02=><, <:4,00,780,790,800,820,840,850,850,850,875,00,750,760,770,790,810,820,830,840,857,50,680,700,710,740,760,780,800,820,8410,00,620,650,670,700,730,750,770,790,8112,50,580,610,680,670,700,730,750,780,8015,00,550,580,610,650,680,710,730,760,7917,50,510,550,580,620,660,690,720,750,7820,00,490,530,570,610,650,680,720,750,7822,50,460,510,550,600,640,670,710,740,7725,0 8 1>;550,440,490,540,590,630,670,700,740,77(4 ?@8 d, @02=><, <:0,8 8 <5=550,340,310,290,270,260,250,240,230,224,00,250,240,230,220,210,200,190,180,17@8<5G0=85. ;O ?@><56CB>G=KE 7=0G5=89 (I, h/d 8 d 7=0G5=8O :>MDD8F85=B>2 (1, (2 (3 8 (4 >?@545;ONBAO 8=B5@?>;OF859."01;8F0 7 ;C18=0 70;>65=8O =86=53> :>=F0  0AG5B=>5 A>?@>B82;5=85 R, :0 (BA/<2), ?>4 =86=8< :>=F>< =0182=KE 8 1C@>2KE A209 A CH8@5=85< 8 157 CH8@5=8O 8 A209->1>;>G5:, ?>3@C605<KE A 2K5<:>9 3@C=B0 8 70?>;=O5<KE 15B>=>< ?@8 ?K;520B>-3;8=8ABKE 3@C=B0E, 70 8A:;NG5=85< ;5AA>2KE, A ?>:070B5;5< B5:CG5AB8 Il @02=K<A208 h, <0,00,10,20,30,40,50,63850(85)750(75)650(65)500(50)400(40)300(30)250(25)51000(100)850 (85)750 (75)650(65)500(50)400(40)350(35)71150(115)1000 (100)850 (85)750(75)600(60)500(50)450(45)101350(135)1200 (120)1050 (105)950(95)800(80)700(70)600(60)121550(155)1400 (140)1250 (125)1100(110)950(95)800(80)700(70)151800(180)1650 (165)1500 (150)1300(130)1100(110)1000(100)800(80)182100(210)1900 (190)1700 (170)1500(150)1300(130)1150(115)950(95)202300(230)2100 (210)1900 (190)1650(165)1450(145)1250(125)1050(105)303300(330)3000 (300)2600 (260)2300(230)2000(200)404500(450)4000 (400)3500 (350)3000(300)2500(250)@8<5G0=85 ;O A209=KE DC=40<5=B>2 >?>@ <>AB>2 7=0G5=8O, ?@82545==K5 2 B01;. 7, A;54C5B: 0) ?>2KH0BL (?@8 p0A?>;>65=88 >?>@ 2 2>4>5<5) =0 25;8G8=C, @02=CN 1,5(whw, 345 (w  C45;L=K9 25A 2>4K  10 :/<3 (1 BA/<3); hw  3;C18=0 A;>O 2>4K 2 2>4>5<5 >B 55 C@>2=O ?@8 @0AG5B=>< ?02>4:5 4> C@>2=O 4=0 2>4>5<0, 0 ?@8 2>7<>6=>AB8 @07<K20  4> C@>2=O 4=0 ?>A;5 >1I53> @07<K20; 1) ?>=860BL ?@8 :>MDD8F85=B5 ?>@8AB>AB8 3@C=B0 5 > 0,6 8 m = 0,6 ?@8 5 = 1,1.4.8. 0AG5B=>5 A>?@>B82;5=85 R, :0 (BA/<2), 3@C=B0 ?>4 =86=8< :>=F>< A208->1>;>G:8, ?>3@C605<>9 157 C40;5=8O 3@C=B0 8;8 A A>E@0=5=85< 3@C=B>2>3> O4@0 2KA>B>9 =5 <5=55 B@5E 480<5B@>2 >1>;>G:8 =0 ?>A;54=5< MB0?5 55 ?>3@C65=8O 8 =5 70?>;=O5<>9 15B>=>< (?@8 CA;>288, GB> 3@C=B>2>5 O4@> >1@07>20=> 87 3@C=B0, 8<5NI53> B5 65 E0@0:B5@8AB8:8, GB> 8 3@C=B, ?@8=OBK9 70 >A=>20=85 :>=F0 A208->1>;>G:8), A;54C5B ?@8=8<0BL ?> B01;. 1 A :>MDD8F85=B>< CA;>289 @01>BK, CG8BK20NI8< A?>A>1 ?>3@C65=8O A209->1>;>G5: 2 A>>B25BAB288 A ?>7. 4 B01;. 3, ?@8G5< @0AG5B=>5 A>?@>B82;5=85 2 C:070==>< A;CG05 >B=>A8BAO : ?;>I048 ?>?5@5G=>3> A5G5=8O A208->1>;>G:8 =5BB>. 4.9. 5ACICN A?>A>1=>ABL Fdu, : (Bc), =0182=>9 8 1C@>2>9 A209 8 A208->1>;>G:8, @01>B0NI8E =0 2K45@3820NI85 =03@C7:8, A;54C5B >?@545;OBL ?> D>@<C;5  EMBED Equation.2  (14) 345 (c, B> 65, GB> 2 D>@<C;5 (10); u, (cf, fi, hi  B> 65, GB> 2 D>@<C;5 (11). "+ ! 4.10. 5ACICN A?>A>1=>ABL Fd : (Bc), 28=B>2>9 A208 480<5B@>< ;>?0AB8 d ( 1,2 < 8 4;8=>9 l < 10 <, @01>B0NI59 =0 A68<0NICN 8;8 2K45@3820NICN =03@C7:C, A;54C5B >?@545;OBL ?> D>@<C;5 (15), 0 ?@8 480<5B@5 ;>?0AB8 d > 1,2 < 8 4;8=5 A208 l > 10 < B>;L:> ?> 40==K< 8A?KB0=89 28=B>2>9 A208 AB0B8G5A:>9 =03@C7:>9: Fd = (c (((1 c1 + (2 (1 h1)A + u fi (h - d)(, (15) 345 (c, :>MDD8F85=B CA;>289 @01>BK, 7028AOI89 >B 2840 =03@C7:8, 459AB2CNI59 =0 A20N, 8 3@C=B>2KE CA;>289, 8 >?@545;O5<K9 ?> B01;. 8; (1, (2  157@07<5@=K5 :>MDD8F85=BK, ?@8=8<05<K5 ?> B01;. 9 2 7028A8<>AB8 >B @0AG5B=>3> 7=0G5=8O C3;0 2=CB@5==53> B@5=8O 3@C=B0 2 @01>G59 7>=5 ((, (?>4 @01>G59 7>=>9 ?>=8<05BAO ?@8;530NI89 : ;>?0AB8 A;>9 3@C=B0 B>;I8=>9, @02=>9 d); c1  @0AG5B=>5 7=0G5=85 C45;L=>3> AF5?;5=8O ?K;520B>-3;8=8AB>3> 8;8 ?0@0<5B@ ;8=59=>AB8 ?5AG0=>3> 3@C=B0 2 @01>G59 7>=5, :0 (BA/<2); (1  >A@54=5==>5 @0AG5B=>5 7=0G5=85 C45;L=>3> 25A0 3@C=B>2, 70;530NI8E 2KH5 ;>?0AB8 A208 (?@8 2>4>=0AKI5==KE 3@C=B0E A CG5B>< 2725H820NI53> 459AB28O 2>4K); h1  3;C18=0 70;530=8O ;>?0AB8 A208 >B ?@8@>4=>3> @5;L5D0, 0 ?@8 ?;0=8@>2:5 B5@@8B>@88 A@57:>9  >B C@>2=O ?;0=8@>2:8 <; A  ?@>5:F8O ?;>I048 ;>?0AB8, <2, AG8B0O ?> =0@C6=><C 480<5B@C, ?@8 @01>B5 28=B>2>9 A208 =0 A68<0NICN =03@C7:C, 8 ?@>5:F8O @01>G59 ?;>I048 ;>?0AB8, B.5. 70 2KG5B>< ?;>I048 A5G5=8O AB2>;0, ?@8 @01>B5 28=B>2>9 A208 =0 2K45@3820NICN =03@C7:C; fi  @0AG5B=>5 A>?@>B82;5=85 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 AB2>;0 28=B>2>9 A208, :0 (BA/<2), ?@8=8<05<>5 ?> B01;. 2 (>A@54=5==>5 7=0G5=85 4;O 2A5E A;>52 2 ?@545;0E 3;C18=K ?>3@C65=8O A208); u  ?5@8<5B@ AB2>;0 A208, <; h  4;8=0 AB2>;0 A208, ?>3@C65==>9 2 3@C=B, <; d  480<5B@ ;>?0AB8 A208, <. @8<5G0=8O: 1. @8 >?@545;5=88 =5ACI59 A?>A>1=>AB8 28=B>2KE A209 ?@8 459AB288 2402;820NI8E =03@C7>: E0@0:B5@8AB8:8 3@C=B>2 2 B01;. 9 >B=>AOBAO : 3@C=B0<, 70;530NI8< ?>4 ;>?0ABLN, 0 ?@8 @01>B5 =0 2K45@3820NI85 =03@C7:8  =04 ;>?0ABLN A208. 2. ;C18=0 70;>65=8O ;>?0AB8 >B C@>2=O ?;0=8@>2:8 4>;6=0 1KBL =5 <5=55 5d ?@8 ?K;520B>-3;8=8ABKE 3@C=B0E 8 =5 <5=55 6d  ?@8 ?5AG0=KE 3@C=B0E (345 d  480<5B@ ;>?0AB8). 3. 0AG5B=K5 7=0G5=8O C3;0 2=CB@5==53> B@5=8O (( 8 AF5?;5=8O 3@C=B0 c1 >A=>20=8O ?@8 @0AG5B0E ?> D>@<C;5 (15) 4>;6=K >?@545;OBLAO 2 A>>B25BAB288 A B@51>20=8O<8 ?. 3.5. "01;8F0 8 @C=BK>MDD8F85=B CA;>289 @01>BK 28=B>2KE A209 ?@8 =03@C7:0EA68<0NI8E2K45@3820NI8E7=0:>?5@5<5==KE1. ;8=K 8 AC3;8=:8:0) B25@4K5, ?>;CB25@4K5 8 BC3>?;0AB8G=K50,80,70,71) <O3:>?;0AB8G=K50,80,70,62) B5:CG5?;0AB8G=K50,70,60,42. 5A:8 8 AC?5A8:0) ?5A:8 <0;>2;06=K5 8 AC?5A8 B25@4K50,80,70,51) ?5A:8 2;06=K5 8 AC?5A8 ?;0AB8G=K50,70,60,42) ?5A:8 2>4>=0AKI5==K5 8 AC?5A8 B5:CG850,60,50,3"01;8F0 9 0AG5B=>5 7=0G5=85 C3;0 2=CB@5==53> B@5=8O 3@C=B0 2  >MDD8F85=BK 0AG5B=>5 7=0G5=85 C3;0 2=CB@5==53> B@5=8O  >MDD8F85=BK@01>G59 7>=5 ((, 3@04.(1, (23@C=B0 2 @01>G59 7>=5 (( , 3@04.(1, (213 15 16 18 20 227,8 8,4 9,4 10,1 12,1 15,02,8 3,3 3,8 4,5 5,5 7,024 26 28 30 32 3418,0 23,1 29,5 38,0 48,4 64,99,2 12,3 16,5 22,5 31,0 44,4#'" " &",+% ("+%) ! " /  #"    %!" ! 4.11. B@8F0B5;L=K5 (=530B82=K5) A8;K B@5=8O, 2>7=8:0NI85 =0 1>:>2>9 ?>25@E=>AB8 A209 ?@8 >A04:5 >:>;>A209=>3> 3@C=B0 8 =0?@02;5==K5 25@B8:0;L=> 2=87, A;54C5B CG8BK20BL 2 A;CG0OE: ?;0=8@>2:8 B5@@8B>@88 ?>4AK?:>9 B>;I8=>9 1>;55 1,0 <; 703@C7:8 ?>;0 A:;04>2 ?>;57=>9 =03@C7:>9 1>;55 20 :/<2 (2 BA/<2); 703@C7:8 ?>;0 >:>;> DC=40<5=B>2 ?>;57=>9 =03@C7:>9 >B >1>@C4>20=8O 1>;55 100 :/<2 (10 BA/<2), C25;8G5=8O MDD5:B82=KE =0?@O65=89 2 3@C=B5 70 AG5B A=OB8O 2725H820NI53> 459AB28O 2>4K ?@8 ?>=865=88 C@>2=O ?>475<=KE 2>4; =57025@H5==>9 :>=A>;840F88 3@C=B>2 A>2@5<5==KE 8 B5E=>35==KE >B;>65=89; C?;>B=5=8O =5A2O7=KE 3@C=B>2 ?@8 48=0<8G5A:8E 2>7459AB28OE; ?@>A04:8 3@C=B>2 ?@8 70<0G820=88. @8<5G0=85. #G5B >B@8F0B5;L=KE A8; B@5=8O, 2>7=8:0NI8E 2 ?@>A04>G=KE 3@C=B0E, A;54C5B ?@>872>48BL 2 A>>B25BAB288 A B@51>20=8O<8 @074. 3. 4.12. B@8F0B5;L=K5 A8;K B@5=8O CG8BK20NBAO 4> 3;C18=K, =0 :>B>@>9 7=0G5=85 >A04:8 >:>;>A209=>3> 3@C=B0 ?>A;5 2>72545=8O 8 703@C7:8 A209=>3> DC=40<5=B0 ?@52KH05B ?>;>28=C ?@545;L=>3> 7=0G5=8O >A04:8 DC=40<5=B0. 0AG5B=K5 A>?@>B82;5=8O 3@C=B0 fi ?@8=8<0NBAO ?> B01;. 2 A> 7=0:>< «<8=CA», 0 4;O B>@D0, 8;0, A0?@>?5;O  <8=CA 5 :0 (0,5 BA/<2). A;8 2 ?@545;0E 4;8=K ?>3@C65==>9 G0AB8 A208 70;530NB =0?;0AB>20=8O B>@D0 B>;I8=>9 1>;55 30 A< 8 2>7<>6=0 ?;0=8@>2:0 B5@@8B>@88 ?>4AK?:>9 8;8 8=0O 55 703@C7:0, M:2820;5=B=0O ?>4AK?:5, B> @0AG5B=>5 A>?@>B82;5=85 3@C=B0 fi, @0A?>;>65==>3> 2KH5 ?>4>H2K =08=87H53> (2 ?@545;0E 4;8=K ?>3@C65==>9 G0AB8 A208) A;>O B>@D0, A;54C5B ?@8=8<0BL: 0) ?@8 ?>4AK?:0E 2KA>B>9 <5=55 2 <  4;O 3@C=B>2>9 ?>4AK?:8 8 A;>52 B>@D0  @02=K< =C;N, 4;O <8=5@0;L=KE =5=0AK?=KE 3@C=B>2 ?@8@>4=>3> A;>65=8O  ?>;>68B5;L=K< 7=0G5=8O< ?> B01;.2; 1) ?@8 ?>4AK?:0E 2KA>B>9 >B 2 4> 5 <  4;O 3@C=B>2, 2:;NG0O ?>4AK?:C,  @02=K< 0,4 7=0G5=89, C:070==KE 2 B01;. 2, => A> 7=0:>< «<8=CA», 0 4;O B>@D0  <8=CA 5 :0 (0,5 BA/<2) (>B@8F0B5;L=K5 A8;K B@5=8O); 2) ?@8 ?>4AK?:0E 2KA>B>9 1>;55 5 <  4;O 3@C=B>2, 2:;NG0O ?>4AK?:C,  @02=K< 7=0G5=8O<, C:070==K< 2 B01;. 2, => A> 7=0:>< «<8=CA», 0 4;O B>@D0  <8=CA 5 :0 (0,5 BA/<2).  ?@545;0E =86=59 G0AB8 A209, 345 >A04:0 >:>;>A209=>3> 3@C=B0 ?>A;5 2>72545=8O 8 703@C7:8 A209=>3> DC=40<5=B0 <5=55 ?>;>28=K ?@545;L=>3> 7=0G5=8O >A04:8 A209=>3> DC=40<5=B0, @0AG5B=K5 A>?@>B82;5=8O 3@C=B0 fi A;54C5B ?@8=8<0BL ?>;>68B5;L=K<8 ?>. B01;. 2, 0 4;O B>@D0, 8;0, A0?@>?5;O  @02=K<8 5 :0 (0,5 BA/<2). 4.13.  A;CG05, :>340 :>=A>;840F8O 3@C=B0 >B ?>4AK?:8 8;8 ?@83@C7:8 B5@@8B>@88 : <><5=BC =0G0;0 2>72545=8O =0475<=>9 G0AB8 740=89 8;8 A>>@C65=89 (2:;NG0O A209=K9 @>AB25@:) 7025@H8;0AL 8;8 2>7<>6=>5 7=0G5=85 >A04:8 3@C=B0, >:@C60NI53> A208, ?>A;5 C:070==>3> <><5=B0 2 @57C;LB0B5 >AB0B>G=>9 :>=A>;840F88 =5 1C45B ?@52KH0BL ?>;>28=K ?@545;L=>3> 7=0G5=8O >A04:8 4;O ?@>5:B8@C5<>3> 740=8O 8;8 A>>@C65=8O, A>?@>B82;5=85 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 A208 4>?CA:05BAO ?@8=8<0BL ?>;>68B5;L=K< 2=5 7028A8<>AB8 >B =0;8G8O 8;8 >BACBAB28O ?@>A;>5: B>@D0. ;O ?@>A;>5: B>@D0 7=0G5=85 fi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d : (Bc), A209 ?> @57C;LB0B0< 8E 8A?KB0=89 2402;820NI59, 2K45@3820NI59 8 3>@87>=B0;L=>9 AB0B8G5A:8<8 =03@C7:0<8 8 ?> @57C;LB0B0< 8E 48=0<8G5A:8E 8A?KB0=89 A;54C5B >?@545;OBL ?> D>@<C;5  EMBED Equation.2  (16) 345 (c, :>MDD8F85=B CA;>289 @01>BK; 2 A;CG05 2402;820NI8E 8;8 3>@87>=B0;L=KE =03@C7>: (c = 1; 2 A;CG05 2K45@3820NI8E =03@C7>: ?@8=8<05BAO ?> C:070=8O< ?. 4.5; Fu,p  =>@<0B82=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O A208, : (Bc), >?@545;O5<>5 2 A>>B25BAB288 A C:070=8O<8 ??. 5.4  5.7; (g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u,p = Fu,min, 0 :>MDD8F85=B =0456=>AB8 ?>. 3@C=BC (g = 1.  A;CG05, 5A;8 G8A;> A209, 8A?KB0==KE 2 >48=0:>2KE CA;>28OE, A>AB02;O5B H5ABL 8 1>;55, Fu,p 8 (g A;54C5B >?@545;OBL =0 >A=>20=88 @57C;LB0B>2 AB0B8AB8G5A:>9 >1@01>B:8 G0AB=KE 7=0G5=89 ?@545;L=KE A>?@>B82;5=89 A209 Fu, ?>;CG5==KE ?> 40==K< 8A?KB0=89, @C:>2>4AB2COAL B@51>20=8O<8 !" 20522-75 ?@8<5=8B5;L=> : <5B>48:5, ?@82545==>9 2 =5< 4;O >?@545;5=8O 2@5<5==>3> A>?@>B82;5=8O. @8 MB>< 4;O >?@545;5=8O G0AB=KE 7=0G5=89 ?@545;L=KE A>?@>B82;5=89 A;54C5B @C:>2>4AB2>20BLAO B@51>20=8O<8 ?. 5.5 ?@8 2402;820NI8E, ?. 5.6  ?@8 2K45@3820NI8E 8 3>@87>=B0;L=KE =03@C7:0E 8 ?. 5.7  ?@8 48=0<8G5A:8E 8A?KB0=8OE. 5.5. A;8 =03@C7:0 ?@8 AB0B8G5A:>< 8A?KB0=88 A209 =0 2402;820=85 4>2545=0 4> =03@C7:8, 2K7K20NI59 =5?@5@K2=>5 2>7@0AB0=85 8E >A04:8 s 157 C25;8G5=8O =03@C7:8 (?@8 s ( 20 <<), B> MB0 =03@C7:0 ?@8=8<05BAO 70 G0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O Fu 8A?KBK205<>9 A208. > 2A5E >AB0;L=KE A;CG0OE 4;O DC=40<5=B>2 740=88 8 A>>@C65=89 (:@><5 <>AB>2 8 384@>B5E=8G5A:8E A>>@C65=89) 70 G0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O A208 Fu 2402;820NI59 =03@C7:5 A;54C5B ?@8=8<0BL =03@C7:C, ?>4 2>7459AB285< :>B>@>9 8A?KBK205<0O A20O ?>;CG8B >A04:C, @02=CN s 8 >?@545;O5<CN ?> D>@<C;5 s = ( su,mt, (17) 345 su,mt  ?@545;L=>5 7=0G5=85 A@54=59 >A04:8 DC=40<5=B0 ?@>5:B8@C5<>3> 740=8O 8;8 A>>@C65=8O, CAB0=02;8205<>5 ?> C:070=8O< !8 2.02.01-83; (  :>MDD8F85=B ?5@5E>40 >B ?@545;L=>3> 7=0G5=8O A@54=59 >A04:8 DC=40<5=B0 740=8O 8;8 A>>@C65=8O su,mt : >A04:5 A208, ?>;CG5==>9 ?@8 AB0B8G5A:8E 8A?KB0=8OE A CA;>2=>9 AB018;870F859 (70BCE0=85<) >A04:8. =0G5=85 :>MDD8F85=B0 ( A;54C5B ?@8=8<0BL @02=K< 0,2 2 A;CG0OE, :>340 8A?KB0=85 A209 ?@>872>48BAO ?@8 CA;>2=>9 AB018;870F88, @02=>9 0,1 << 70 1 G, 5A;8 ?>4 8E =86=8<8 :>=F0<8 70;530NB ?5AG0=K5 8;8 ?K;520B>-3;8=8ABK5 3@C=BK A :>=A8AB5=F859 >B B25@4>9 4> BC3>?;0AB8G=>9, 0 B0:65 70 2 G, 5A;8 ?>4 8E =86=8<8 :>=F0<8 70;530NB ?K;520B>-3;8=8ABK5 3@C=BK >B <O3:>?;0AB8G=>9 4> B5:CG59 :>=A8AB5=F88. =0G5=85 :>MDD8F85=B0 ( 4>?CA:05BAO CB>G=OBL ?> @57C;LB0B0< =01;N45=89 70 >A04:0<8 740=89, ?>AB@>5==KE =0 A209=KE DC=40<5=B0E 2 0=0;>38G=KE 3@C=B>2KE CA;>28OE. A;8 >A04:0, >?@545;5==0O ?> D>@<C;5 (17), >:065BAO 1>;55 40 <<, B> 70 G0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O A208 Fu A;54C5B ?@8=8<0BL =03@C7:C, A>>B25BAB2CNICN s = 40 <<. ;O <>AB>2 8 384@>B5E=8G5A:8E A>>@C65=89 70 ?@545;L=>5 A>?@>B82;5=85 A208 Fu ?@8 2402;820NI8E =03@C7:0E A;54C5B ?@8=8<0BL =03@C7:C =0 >4=C ABC?5=L <5=55 =03@C7:8, ?@8 :>B>@>9 2K7K20NBAO: 0) ?@8@0I5=85 >A04:8 70 >4=C ABC?5=L 703@C65=8O (?@8 >1I5< 7=0G5=88 >A04:8 1>;55 40 <<), ?@52KH0NI55 2 5 @07 8 1>;55 ?@8@0I5=85 >A04:8, ?>;CG5==>5 70 ?@54H5AB2CNICN ABC?5=L 703@C65=8O; 1) >A04:0, =5 70BCE0NI0O 2 B5G5=85 ACB>: 8 1>;55 (?@8 >1I5< 7=0G5=88 55 1>;55 40 <<). A;8 ?@8 <0:A8<0;L=>9 4>AB83=CB>9 ?@8 8A?KB0=8OE =03@C7:5, :>B>@0O >:065BAO @02=>9 8;8 1>;55 1,5 Fd [345 Fd  =5ACI0O A?>A>1=>ABL A208, ?>4AG8B0==0O ?> D>@<C;0< (5), (8), (9), (11) 8 (15)], >A04:0 A208 s ?@8 8A?KB0=8OE >:065BAO <5=55 7=0G5=8O, >?@545;5==>3> ?> D>@<C;5 (17), 0 4;O <>AB>2 8 384@>B5E=8G5A:8E A>>@C65=89  <5=55 40 <<, B> 2 MB>< A;CG05 70 G0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O A208 Fu 4>?CA:05BAO ?@8=8<0BL <0:A8<0;L=CN =03@C7:C, ?>;CG5==CN ?@8 8A?KB0=8OE. @8<5G0=8O: 1. >B45;L=KE A;CG0OE ?@8 A>>B25BAB2CNI5< >1>A=>20=88 4>?CA:05BAO ?@8=8<0BL <0:A8<0;L=CN =03@C7:C, 4>AB83=CBCN ?@8 8A?KB0=8OE, @02=>9 Fd. 2. !BC?5=8 703@C65=8O ?@8 8A?KB0=8OE A209 AB0B8G5A:>9 2402;820NI59 =03@C7:>9 4>;6=K =07=0G0BLAO @02=K<8 1/10 - 1/15 ?@54?>;0305<>3> ?@545;L=>3> A>?@>B82;5=8O A208 Fu. 5.6. @8 8A?KB0=88 A209 AB0B8G5A:>9 2K45@3820NI59 8;8 3>@87>=B0;L=>9 =03@C7:>9 70 G0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O Fu (A<. ?. 5.4) ?> 3@0D8:0< 7028A8<>AB8 ?5@5<5I5=89 >B =03@C7>: ?@8=8<05BAO =03@C7:0 =0 >4=C ABC?5=L <5=55 =03@C7:8, 157 C25;8G5=8O :>B>@>9 ?5@5<5I5=8O A208 =5?@5@K2=> 2>7@0AB0NB. @8<5G0=85. 57C;LB0BK AB0B8G5A:8E 8A?KB0=89 A209 =0 3>@87>=B0;L=K5 =03@C7:8 <>3CB 1KBL 8A?>;L7>20=K 4;O =5?>A@54AB25==>3> >?@545;5=8O @0AG5B=KE ?0@0<5B@>2 A8AB5<K «A20O  3@C=B», 8A?>;L7C5<KE 2 @0AG5B0E ?> @5:><5=4C5<><C ?@8;>65=8N 1. 5.7. @8 48=0<8G5A:8E 8A?KB0=8OE 70182=KE A209 G0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O Fu : (Bc), (A<. ?. 5.4) ?> 40==K< 8E ?>3@C65=8O ?@8 D0:B8G5A:8E (87<5@5==KE) >AB0B>G=KE >B:070E sa ( 0,002 < A;54C5B >?@545;OBL ?> D>@<C;5  EMBED Equation.2  (18) A;8 D0:B8G5A:89 (87<5@5==K9) >AB0B>G=K9 >B:07 sa < 0,002 <, B> 2 ?@>5:B5 A209=>3> DC=40<5=B0 A;54C5B ?@54CA<>B@5BL ?@8<5=5=85 4;O ?>3@C65=8O A209 <>;>B0 A 1>;LH59 M=5@3859 C40@0, ?@8 :>B>@>9 >AB0B>G=K9 >B:07 1C45B sa ( 0,002 <, 0 2 A;CG05 =52>7<>6=>AB8 70<5=K A2051>9=>3> >1>@C4>20=8O 8 ?@8 =0;8G88 >B:07><5@>2 G0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O A208 Fu : (Bc), A;54C5B >?@545;OBL ?> D>@<C;5  EMBED Equation.2  EMBED Equation.2  (19)  D>@<C;0E (18) 8 (19): (  :>MDD8F85=B, ?@8=8<05<K9 ?> B01;. 10 2 7028A8<>AB8 >B <0B5@80;0 A208, :/<2 (BA/<2); A  ?;>I04L, >3@0=8G5==0O =0@C6=K< :>=BC@>< A?;>H=>3> 8;8 ?>;>3> ?>?5@5G=>3> A5G5=8O AB2>;0 A208 (=57028A8<> >B =0;8G8O 8;8 >BACBAB28O C A208 >AB@8O), <2; M  :>MDD8F85=B, ?@8=8<05<K9 ?@8 70182:5 A209 <>;>B0<8 C40@=>3> 459AB28O @02=K< 548=8F5, 0 ?@8 281@>?>3@C65=88 A209  ?> B01;. 11 2 7028A8<>AB8 >B 2840 3@C=B0 ?>4 8E =86=8<8 :>=F0<8; Ed  @0AG5B=0O M=5@38O C40@0 <>;>B0, :6 (Bc(<), ?@8=8<05<0O ?> B01;. 12, 8;8 @0AG5B=0O M=5@38O 281@>?>3@C60B5;59  ?> B01;. 13; sa  D0:B8G5A:89 >AB0B>G=K9 >B:07, @02=K9 7=0G5=8N ?>3@C65=8O A208 >B >4=>3> C40@0 <>;>B0, 0 ?@8 ?@8<5=5=88 281@>?>3@C60B5;59  >B 8E @01>BK 2 B5G5=85 1 <8=, <; sel  C?@C389 >B:07 A208 (C?@C385 ?5@5<5I5=8O 3@C=B0 8 A208), >?@545;O5<K9 A ?><>ILN >B:07><5@0, <; m1  <0AA0 <>;>B0 8;8 281@>?>3@C60B5;O, B; m2  <0AA0 A208 8 =03>;>2=8:0, B; m3  <0AA0 ?>4101:0 (?@8 281@>?>3@C65=88 A209 m3 =0),B; m4  <0AA0 C40@=>9 G0AB8 <>;>B0, B; (  :>MDD8F85=B 2>AAB0=>2;5=8O C40@0; ?@8 70182:5 65;57>15B>==KE A209 <>;>B0<8 C40@=>3> 459AB28O A ?@8<5=5=85< =03>;>2=8:0 A 45@52O==K< 2:;04KH5< (2 = 0,2, 0 ?@8 281@>?>3@C60B5;5 (2 = 0; (  :>MDD8F85=B, 1/: (1/Bc), >?@545;O5<K9 ?> D>@<C;5  EMBED Equation.2  (20) 745AL A, m4, m2  B> 65, GB> 2 D>@<C;0E (18) 8 (19); np, nf  :>MDD8F85=BK ?5@5E>40 >B 48=0<8G5A:>3> (2:;NG0NI53> 2O7:>5 A>?@>B82;5=85 3@C=B0) : AB0B8G5A:><C A>?@>B82;5=8N 3@C=B0, ?@8=8<05<K5 A>>B25BAB25==> @02=K<8: 4;O 3@C=B0 ?>4 =86=8< :>=F>< A208 np = 0,00025 A(</: (0,0025 A(</Bc) 8 4;O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 A208 nf = 0,025 A(</: (0,25 A(</Bc); Af  ?;>I04L 1>:>2>9 ?>25@E=>AB8 A208, A>?@8:0A0NI59AO A 3@C=B><, <2; g  CA:>@5=85 A2>1>4=>3> ?045=8O, @02=>5 9,81 </A2; H  D0:B8G5A:0O 2KA>B0 ?045=8O C40@=>9 G0AB8 <>;>B0, <; h  2KA>B0 ?5@2>3> >BA:>:0 C40@=>9 G0AB8 4875;L-<>;>B0, ?@8=8<05<0O A>3;0A=> B01;. 12, 4;O 4@C38E 284>2 <>;>B>2 h = 0. @8<5G0=8O: 1. @8 70182:5 A209 2 3@C=B, ?>4;560I89 C40;5=8N ?@8 @07@01>B:5 :>B;>20=0, 8;8 2 3@C=B 4=0 2>4>B>:0 7=0G5=85 @0AG5B=>3> >B:070 A;54C5B >?@545;OBL 8AE>4O 87 =5ACI59 A?>A>1=>AB8 A209, 2KG8A;5==>9 A CG5B>< =5C40;5==>3> 8;8 ?>425@65==>3> 2>7<>6=><C @07<K2C 3@C=B0, 0 2 <5AB0E 25@>OB=>3> ?@>O2;5=8O >B@8F0B5;L=KE A8; B@5=8O  A 8E CG5B><. 2.  A;CG05 @0AE>645=8O 1>;55 G5< 2 1,4 @070 7=0G5=89 =5ACI59 A?>A>1=>AB8 A209, >?@545;5==KE ?> D>@<C;0< (18)  (20), A =5ACI59 A?>A>1=>ABLN, >?@545;5==>9 @0AG5B>< 2 A>>B25BAB288 A B@51>20=8O<8 @074. 4 (?> @57C;LB0B0< ;01>@0B>@=KE >?@545;5=89 D878:>-<5E0=8G5A:8E A2>9AB2 3@C=B>2), =5>1E>48<> 4>?>;=8B5;L=> ?@>25@8BL =5ACICN A?>A>1=>ABL A209 ?> @57C;LB0B0< AB0B8G5A:>3> 7>=48@>20=8O 8;8 AB0B8G5A:8E 8A?KB0=89 A209. "01;8F0 10 !;CG09 @0AG5B0>MDD8F85=B B), :/< (B5/<")A?KB0=85 A209 70182:>9 8 4>182:>9 (0 B0:65 2 A;CG05 >?@545;5=8O >B:07>2) ?@8 2840E A209:65;57>15B>==KE A =03>;>2=8:><1500(150)45@52O==KE 157 ?>4101:01000(100)45@52O==KE A ?>4101:><800 (80)>=B@>;L =5ACI59 A?>A>1=>AB8 A209 ?> @57C;LB0B0< ?@>872>4AB25==>9 70182:8 ?@8 7=0G5=88 Ed/sa :/BA:1000(100) 8 <5=552500(250)2000(200)1500(150)4000(400)950 (95)8000(800) 8 1>;55700(70)"01;8F0 11 @C=BK ?>4 =86=8< :>=F>< A208>MDD8F85=B 1. @C?=>>1;><>G=K5 A ?5AG0=K< 70?>;=8B5;5<1,32. 5A:8 A@54=59 :@C?=>AB8 8 :@C?=K5 A@54=59 ?;>B=>AB8 8 AC?5A8 B25@4K51,23. 5A:8 <5;:85 A@54=59 ?;>B=>AB81,14. 5A:8 ?K;520BK5 A@54=59 ?;>B=>AB81,05. !C?5A8 ?;0AB8G=K5, AC3;8=:8 8 3;8=K B25@4K50,96. !C3;8=:8 8 3;8=K ?>;CB25@4K50,87. !C3;8=:8 8 3;8=K BC3>?;0AB8G=K50,7@8<5G0=85. @8 ?;>B=KE ?5A:0E 7=0G5=8O :>MDD8F85=B0  2 ?>7. 2-4 B01;. 11 A;54C5B ?>2KH0BL =0 60 %, ?@8 =0;8G88 <0B5@80;>2 AB0B8G5A:>3> 7>=48@>20=8O  =0 100%."01;8F0 12 >;>B 0AG5B=0O M=5@38O C40@0 <>;>B0 Ed, :6 (BA(<)1. >425A=>9 8;8 >48=>G=>3> 459AB28OGH2. "@C1G0BK9 4875;L-<>;>B0,9GH3. (B0=3>2K9 4875;L-<>;>B0,4GH4. 875;L=K9 ?@8 :>=B@>;L=>9 4>182:5 >48=>G=K<8 C40@0<8 157 ?>40G8 B>?;820G(H-h)@8<5G0=8O: 1. G  25A C40@=>9 G0AB8 <>;>B0, : (BA). 2.  ?>7. 4 h  2KA>B0 ?5@2>3> >BA:>:0 C40@=>9 G0AB8 4875;L-<>;>B0 >B 2>74CH=>9 ?>4CH:8, >?@545;O5<0O ?> <5@=>9 @59:5, <. ;O ?@5420@8B5;L=KE @0AG5B>2 4>?CA:05BAO ?@8=8<0BL: 4;O HB0=3>2KE <>;>B>2 h = 0,6 <, 4;O B@C1G0BKE <>;>B>2 h = 0,4 <."01;8F0 13 >7<CI0NI0O A8;0 281@>?>3@C60B5;O, : (Bc)-:2820;5=B=0O @0AG5B=0O M=5@38O C40@0 281@>?>3@C60B5;O, :6 (Bc(<)100(10)45,0(4,5)200(20)90,0(9,0)300(30)130,0(13)400(40)175,0(17,5)500(50)220,0(22)600(60)265,0(26,5)700(70)310,0(31)800(80)350,0(35)5.8. 5ACICN A?>A>1=>ABL Fd : (Bc), 70182=>9 28AOG59 A208, @01>B0NI59 =0 A68<0NICN =03@C7:C, ?> @57C;LB0B0< 8A?KB0=89 3@C=B>2 MB0;>==>9 A2059, 8A?KB0=89 A208-7>=40 8;8 AB0B8G5A:>3> 7>=48@>20=8O A;54C5B >?@545;OBL ?> D>@<C;5  EMBED Equation.2  (21) 345 (c, :>MDD8F85=B CA;>289 @01>BK; (c = 1; n  G8A;> 8A?KB0=89 3@C=B>2 MB0;>==>9 A2059, 8A?KB0=89 A208-7>=40 8;8 B>G5: 7>=48@>20=8O; Fu  G0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O A208, : (Bc), 2 <5AB5 8A?KB0=8O 3@C=B>2 MB0;>==>9 A2059, 8A?KB0=8O A208-7>=40 8;8 2 B>G:5 7>=48@>20=8O, >?@545;5==>5 2 A>>B25BAB288 A B@51>20=8O<8 ??. 5.9, 5.10 8;8 5.11; (g, :>MDD8F85=B =0456=>AB8 ?> 3@C=BC, CAB0=02;8205<K9 2 7028A8<>AB8 >B 87<5=G82>AB8 ?>;CG5==KE G0AB=KE 7=0G5=89 ?@545;L=>3> A>?@>B82;5=8O A208 Fu 2 <5AB0E 8A?KB0=89 3@C=B>2 MB0;>==>9 A2059, 8A?KB0=89 A208-7>=40 8;8 2 B>G:0E 7>=48@>20=8O 8 G8A;0 MB8E 8A?KB0=89 8;8 B>G5: ?@8 7=0G5=88 4>25@8B5;L=>9 25@>OB=>AB8 ( = 0,95 2 A>>B25BAB288 A B@51>20=8O<8 !" 20522-75. 5.9. '0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O 70182=>9 A208 0 <5AB5 8A?KB0=8O 3@C=B>2 MB0;>==>9 A2059 Fu : (Bc), A;54C5B >?@545;OBL: 0) ?@8 8A?KB0=88 3@C=B>2 MB0;>==>9 A2059 B8?0 1 (!" 24942-81)  ?> D>@<C;5  EMBED Equation.2  (22) 345 (sp :>MDD8F85=B; (sp = 1,25 ?@8 703;C1;5=88 A208 2 ?;>B=K5 ?5A:8 =57028A8<> >B 8E :@C?=>AB8 8;8 :@C?=>>1;><>G=K5 3@C=BK 8 (sp = 1 4;O >AB0;L=KE 3@C=B>2; 8, 8sp  ?5@8<5B@K ?>?5@5G=>3> A5G5=8O A208 8 MB0;>==>9 A208; Fu,sp  G0AB=>Q 5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O MB0;>==>9 A208, : (Bc), >?@545;O5<>5 ?> @57C;LB0B0< 8A?KB0=8O AB0B8G5A:>9 =03@C7:>9 A>3;0A=> ?. 5.5; 1) ?@8 8A?KB0=88 3@C=B>2 MB0;>==>9 A2059 B8?0 II 8;8 III (!" 24942-81)  ?> D>@<C;5  EMBED Equation.2  (23) 345 (cR :>MDD8F85=B CA;>289 @01>BK ?>4 =86=8< :>=F>< =0BC@=>9 A208, ?@8=8<05<K9 ?> B01;. 14 2 7028A8<>AB8 >B ?@545;L=>3> A>?@>B82;5=8O 3@C=B0 ?>4 =86=8< :>=F>< MB0;>==>9 A208 Rsp; Rsp  ?@545;L=>5 A>?@>B82;5=85 3@C=B0 ?>4 =86=8< :>=F>< MB0;>==>9 A208, :0 (BA/<2); A  ?;>I04L ?>?5@5G=>3> A5G5=8O =0BC@=>9 A208, <; (cf  :>MDD8F85=B CA;>289 @01>BK =0 1>:>2>9 ?>25@E=>AB8 =0BC@=>9 A208, ?@8=8<05<K9 ?> B01;. 14 2 7028A8<>AB8 >B A@54=53> 7=0G5=8O ?@545;L=>3> A>?@>B82;5=8O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 MB0;>==>9 A208 fsp. fsp  A@54=55 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 MB0;>==>9 A208, :0 (BA/<2); h  3;C18=0 ?>3@C65=8O =0BC@=>9 A208, <; u  ?5@8<5B@ ?>?5@5G=>3> A5G5=8O AB2>;0 A208, <. @8<5G0=85. @8 ?@8<5=5=88 MB0;>==>9 A208 B8?0 II A;54C5B ?@>25@8BL A>>B25BAB285 AC<<K ?@545;L=KE A>?@>B82;5=89 3@C=B0 ?>4 =86=8< :>=F>< 8 =0 1>:>2>9 ?>25@E=>AB8 MB0;>==>9 A208 55 ?@545;L=><C A>?@>B82;5=8N. A;8 @07=8F0 <564C =8<8 ?@52KH05B ± 20 %, B> @0AG5B ?@545;L=>3> A>?@>B82;5=8O =0BC@=>9 A208 4>;65= 2K?>;=OBLAO :0: 4;O MB0;>==>9 A208 B8?0 1. 5.10. '0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O 70182=>9 A208 2 <5AB5 8A?KB0=89 A208-7>=40 Fu : (Bc), A;54C5B >?@545;OBL ?> D>@<C;5  EMBED Equation.2  (24) 345 (cR  :>MDD8F85=B CA;>289 @01>BK 3@C=B0 ?>4 =86=8< :>=F>< A208, ?@8=8<05<K9 @02=K< 0,8; Rps  ?@545;L=>5 A>?@>B82;5=85 3@C=B0 ?>4 =86=8< :>=F>< A208-7>=40, :0 (BA/<2); (cf  :>MDD8F85=B CA;>289 @01>BK i-3> A;>O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 A208, ?@8=8<05<K9 ?> B01;. 14 2 7028A8<>AB8 >B A@54=53> 7=0G5=8O ?@545;L=>3> C45;L=>3> A>?@>B82;5=8O i-3> A;>O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 A208-7>=40 fps,i; fps,i  A@54=55 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O i-3> A;>O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 A208-7>=40, :0(BA/<2); h  B>;I8=0 i-3> A;>O 3@C=B0, <. "01;8F0 14 Rsp, :0 (BA/<2)>MDD8F85=B (cR 2 7028A8<>AB8 >B Rsp fsp, fps,i, >MDD8F85=B (cf 2 7028A8<>AB8 >B fsp 4;O MB0;>==KE A209 B8?>2 II 8 III >MDD8F85=B 4;O MB0;>==KE A209 B8?0 II4;O MB0;>==KE A209 B8?0 III:0 (BA/<2)?@8 ?5AG0=KE 3@C=B0E?@8 ?K;520B>-3;8=8ABKE 3@C=B0E(cf 2 7028A8<>AB8 >B fps,i 4;O A208-7>=40( 2000(200)1,151,40(20(2)2,001,200,903000(300)1,051,2030(3)1,650,950,854000(400)1,000,9040(4)1,400,800,805000(500)0,900,8050(5)1,200,700,756000(600)0,800,7560(6)1,050,650,707000(700)0,750,7080(8)0,800,5510000(1000)0,650,60(120(12)0,500,40(13000(1300)0,600,55@8<5G0=8O: 1. ;O ?@><56CB>G=KE 7=0G5=89 Rsp 8 fsp 7=0G5=8O (cR 8 (cf >?@545;ONBAO 8=B5@?>;OF859. 2.  A;CG05, 5A;8 ?> 1>:>2>9 ?>25@E=>AB8 A208 70;530NB ?5AG0=K5 8 ?K;520B>-3;8=8ABK5 3@C=BK, :>MDD8F85=B (cf >?@545;O5BAO ?> D>@<C;5 (cf = EMBED Equation.2  345  EMBED Equation.2  AC<<0@=K5 B>;I8=K A;>52 A>>B25BAB25==> ?5AG0=KE 8 ?K;520B>-3;8=8ABKE 3@C=B>2; ((cf, ((cf  :>MDD8F85=BK CA;>289 @01>BK MB0;>==KE A209 8 A209-7>=4>2 A>>B25BAB25==> 2 ?5AG0=KE 8 ?K;520B>-3;8=8ABKE 3@C=B0E.5.11. '0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O 70182=>9 A208 2 B>G:5 7>=48@>20=8O Fu, : (Bc), A;54C5B >?@545;OBL ?> D>@<C;5 Fu = Rs A + f h u (25) Rs  ?@545;L=>5 A>?@>B82;5=85 3@C=B0 ?>4 =86=8< :>=F>< A208 ?> 40==K< 7>=48@>20=8O 2 @0AA<0B@8205<>9 B>G:5, :0 (BA/<2); f  A@54=55 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 A208 ?> 40==K< 7>=48@>20=8O 2 @0AA<0B@8205<>9 B>G:5, :0 (BA/<2); h  3;C18=0 ?>3@C65=8O A208 >B ?>25@E=>AB8 3@C=B0 >:>;> A208, <; u  ?5@8<5B@ ?>?5@5G=>3> A5G5=8O AB2>;0 A208, <. @545;L=>5 A>?@>B82;5=85 3@C=B0 ?>4 =86=8< :>=F>< 70182=>9 A208 Rs :0 (BA/<2), ?> 40==K< 7>=48@>20=8O 2 @0AA<0B@8205<>9 B>G:5 A;54C5B >?@545;OBL ?> D>@<C;5 Rs = (1 qs (26) 345 (1  :>MDD8F85=B ?5@5E>40 >B qs : Rs ?@8=8<05<K9 ?> B01;. 15 =57028A8<> >B B8?0 7>=40 (?> !" 20069-81 ); qs  A@54=55 7=0G5=85 A>?@>B82;5=8O 3@C=B0, :0 (BA/<2), ?>4 =0:>=5G=8:>< 7>=40, ?>;CG5==>5 87 >?KB0, =0 CG0AB:5, @0A?>;>65==>< 2 ?@545;0E >4=>3> 480<5B@0 d 2KH5 8 G5BK@5E 480<5B@>2 =865 >B<5B:8 >AB@8O ?@>5:B8@C5<>9 A208 (345 d  480<5B@ :@C3;>3> 8;8 AB>@>=0 :204@0B=>3>, 8;8 1>;LH0O AB>@>=0 ?@O<>C3>;L=>3> A5G5=8O A208, <). !@54=55 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 70182=>9 A208 f, :0 (BA/<2), ?> 40==K< 7>=48@>20=8O 3@C=B0 2 @0AA<0B@8205<>9 B>G:5 A;54C5B >?@545;OBL: 0) ?@8 ?@8<5=5=88 7>=4>2 B8?0 I  ?> D>@<C;5 f = (2 fs (27) 1) ?@8 ?@8<5=5=88 7>=4>2 B8?0 II 8;8 III  ?> D>@<C;5  EMBED Equation.2 , (28)  D>@<C;0E (27) 8 (28): 345 (2, (i  :>MDD8F85=BK, ?@8=8<05<K5 ?> B01;. 15; fs  A@54=55 7=0G5=85 A>?@>B82;5=8O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 7>=40, :0 (BA/<2), >?@545;O5<>5 :0: G0AB=>5 >B 45;5=8O 87<5@5==>3> >1I53> A>?@>B82;5=8O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 7>=40 =0 ?;>I04L 53> 1>:>2>9 ?>25@E=>AB8 2 ?@545;0E >B ?>25@E=>AB8 3@C=B0 2 B>G:5 7>=48@>20=8O 4> C@>2=O @0A?>;>65=8O =86=53> :>=F0 A208 2 2K1@0==>< =5ACI5< A;>5; fsi  A@54=55 A>?@>B82;5=85 i-3> A;>O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 7>=40, :0 (BA/<2); hi  B>;I8=0 i-3> A;>O 3@C=B0, <. "01;8F0 15 (1  :>MDD8F85=B ?5@5E>40 >B qs : Rs(2  :>MDD8F85=B ?5@5E>40 (i  :>MDD8F85=B ?5@5E>40  qs :0 (BA/<2) 4;O 4;O 28=B>2KE A209 ?@8 =03@C7:5fs, fsi :0 (BA/<2)>B fs, : f 4;O 7>=40 B8?0 I>B fsi : f 4;O 7>=40 B8?0 II 8;8 III70182-=KE A209A68<0NI592K45@3820NI59?@8 ?5AG0=KE 3@C=B0E?@8 ?K;520B>-3;8=8ABKE 3@C=B0E?@8 ?5AG0=KE 3@C=B0E?@8 ?K;520B>-3;8=8ABKE 3@C=B0E(1000(100)0,900,500,40( 20(2)2,401,500,751,002500 (250)0,800,450,3840(4)1,651,000,600,755000(500)0,650,320,2760(6)1,200,750,550,607500(750)0,550,260,2280(8)1,000,600,500,4510 000(1000)0,450,230,19100(10)0,850,500,450,4015 000(1500)0,35(120(12)0,750,400,400,3020 000(2000)0,30(30 000(3000)0,20@8<5G0=85. ;O 28=B>2KE A209 2 ?5AG0=KE 3@C=B0E, =0AKI5==KE 2>4>9, 7=0G5=8O :>MDD8F85=B0 (1 4>;6=K 1KBL C<5=LH5=K 2 420 @070.5.12. 5ACICN A?>A>1=>ABL 28=B>2>9 A208, @01>B0NI59 =0 A68<0NICN 8 2K45@3820NICN =03@C7:8, ?> @57C;LB0B0< AB0B8G5A:>3> 7>=48@>20=8O A;54C5B >?@545;OBL ?> D>@<C;5 (21), 0 G0AB=>5 7=0G5=85 ?@545;L=>3> A>?@>B82;5=8O A208 2 B>G:5 7>=48@>20=8O  ?> D>@<C;5 (25), 345 3;C18=0 ?@8=8<05BAO C<5=LH5==>9 =0 7=0G5=85 480<5B@0 ;>?0AB8. @545;L=>5 A>?@>B82;5=85 3@C=B0 ?>4 (=04) ;>?0ABLN A208 ?> 40==K< 7>=48@>20=8O 3@C=B0 2 @0AA<0B@8205<>9 B>G:5 A;54C5B >?@545;OBL ?> D>@<C;5 (26).  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" / !+% $#"   !'+%  #"% 8.1. @8<5=5=85 A209=KE DC=40<5=B>2 2 CA;>28OE ?@>A04>G=KE 3@C=B>2 4>;6=> 1KBL >1>A=>20=> B5E=8:>-M:>=><8G5A:8< A@02=5=85< 2>7<>6=KE 20@80=B>2 ?@>5:B=KE @5H5=89 A209=KE DC=40<5=B>2 8 DC=40<5=B>2 =0 5AB5AB25==>< >A=>20=88. @>5:B8@>20=85 A209=KE DC=40<5=B>2 2 3@C=B>2KE CA;>28OE II B8?0 ?> ?@>A04>G=>AB8 4>;6=> 2K?>;=OBLAO A?5F80;878@>20==K<8 >@30=870F8O<8. 8.2. @8 8=65=5@=>-35>;>38G5A:8E 87KA:0=8OE =0 AB@>8B5;L=KE ?;>I04:0E, A;>65==KE ?@>A04>G=K<8 3@C=B0<8, A;54C5B >?@545;OBL B8? 3@C=B>2KE CA;>289 A C:070=85< G0AB=KE 8 <0:A8<0;L=KE 2>7<>6=KE 7=0G5=89 ?@>A04:8 3@C=B>2 >B A>1AB25==>3> 25A0 (?@8 ?>4AK?:0E  A CG5B>< 25A0 ?>4AK?:8) 8 2K45;OBL A;>8 3@C=B0, 2 :>B>@KE <>3CB 1KBL 703;C1;5=K A208 2 A>>B25BAB288 A B@51>20=8O<8 ?. 8.4. ;O 8AA;54>20=8O 3@C=B>2 4>;6=K 1KBL 2K?>;=5=K 1C@5=85 A:2068= 8 ?@>E>4:0 HC@D>2. 0AAB>O=85 <564C 2K@01>B:0<8 =07=0G05BAO 2 7028A8<>AB8 >B A;>6=>AB8 8=65=5@=>-35>;>38G5A:8E CA;>289 ?;>I04:8 8 4>;6=> 1KBL =5 1>;55 50 <.  ?@545;0E :>=BC@0 >B45;L=> AB>OI53> 740=8O 8;8 A>>@C65=8O 4>;6=> 1KBL =5 <5=55 4 A:2068=, 0 4;O 740=89 A ?;>I04LN 70AB@>9:8 <5=55 1300 <2  3 A:2068=K. 0 70AB@08205<>9 B5@@8B>@88 4>;65= 1KBL BI0B5;L=> 87CG5= 384@>35>;>38G5A:89 @568< ?>475<=KE 2>4 8 40= ?@>3=>7 2>7<>6=>3> 53> 87<5=5=8O ?@8 M:A?;C0B0F88 ?@>5:B8@C5<KE 8 ACI5AB2CNI8E 740=89 8 A>>@C65=89. $878:>-<5E0=8G5A:85, 2 B>< G8A;5 ?@>G=>AB=K5 8 45D>@<0F8>==K5 E0@0:B5@8AB8:8 ?@>A04>G=KE 8 4@C38E 284>2 3@C=B>2, 87<5=ONI8E A2>8 A2>9AB20 ?@8 70<0G820=88, 4>;6=K >?@545;OBLAO 4;O A>AB>O=8O ?@8@>4=>9 2;06=>AB8 ?@8 ?>;=>< 2>4>=0AKI5=88. 8.3. @8 ?@>5:B8@>20=88 A209=KE DC=40<5=B>2 2 3@C=B>2KE CA;>28OE II B8?0 ?> ?@>A04>G=>AB8 A 2>7<>6=>9 ?@>A04:>9 3@C=B>2 >B A>1AB25==>3> 25A0 A2KH5 30 A< A;54C5B, :0: ?@028;>, ?@54CA<0B@820BL <5@>?@8OB8O ?> ?5@52>4C 3@C=B>2KE CA;>289 II B8?0 2 I ?CB5< A@57:8 3@C=B0 8;8 C?;>B=5=8O ?@5420@8B5;L=K< 70<0G820=85<, 70<0G820=85< A> 27@K2><, 3@C=B>2K<8 A20O<8 8 4@C38<8 <5B>40<8. @8 A>>B25BAB2CNI5< B5E=8:>-M:>=><8G5A:>< >1>A=>20=88 C:070==K5 A?>A>1K 4>;6=K >15A?5G820BL CAB@0=5=85 ?@>A04:8 3@C=B>2>9 B>;I8 >B 55 A>1AB25==>3> 25A0 2 ?@545;0E ?;>I048, 70=8<05<>9 740=85< 8;8 A>>@C65=85<, 8 =0 @0AAB>O=88, @02=>< ?>;>28=5 ?@>A04>G=>9 B>;I8 2>:@C3 =53>. 8.4. !209=K5 DC=40<5=BK =0 B5@@8B>@8OE A ?@>A04>G=K<8 3@C=B0<8 ?@8 2>7<>6=>AB8 70<0G820=8O 3@C=B>2 A;54C5B ?@8<5=OBL 2 A;CG0OE, :>340 2>7<>6=0 ?@>@57:0 A20O<8 2A5E A;>52 ?@>A04>G=KE 8 4@C38E 284>2 3@C=B>2, ?@>G=>AB=K5 8 45D>@<0F8>==K5 E0@0:B5@8AB8:8 :>B>@KE A=860NBAO ?@8 70<0G820=88. 86=85 :>=FK A209 4>;6=K 1KBL 703;C1;5=K, :0: ?@028;>, 2 A:0;L=K5 3@C=BK, ?5AG0=K5 ?;>B=K5 8 A@54=59 ?;>B=>AB8, ?K;520B>-3;8=8ABK5 3@C=BK A ?>:070B5;5< B5:CG5AB8 2 2>4>=0AKI5==>< A>AB>O=88 IL < 0,6 4;O 2A5E 284>2 A209 2 3@C=B>2KE CA;>28OE I B8?0, IL < 0,4 4;O 70182=KE A209 8 IL < 0,2 4;O 1C@>=0182=KE A209 ?@8 ssl,g ( su 2 3@C=B>2KE CA;>28OE II B8?0, IL < 0,2 4;O 70182=KE A209 8 IL ( 0 4;O 1C@>=0182=KE A209 ?@8 ssl,g ( su 2 3@C=B>2KE CA;>28OE II B8?0 (345 ssl,g  ?@>A04:0 >B A>1AB25==>3> 25A0 3@C=B0 A CG5B>< ?>4AK?:8 8;8 4@C3>9 ?@83@C7:8 53> ?>25@E=>AB8). 03;C1;5=85 A209 2 C:070==K5 3@C=BK 4>;6=> =07=0G0BLAO ?> @0AG5BC :0: =081>;LH55 87 CA;>28O, GB> >A04:0 A208 =5 ?@52KA8B ?@545;L=CN >A04:C su, 8 87 CA;>28O >15A?5G5=8O B@51C5<>9 =5ACI59 A?>A>1=>AB8 A208. @8<5G0=8O: 1. A;8 ?@>@57:0 C:070==KE 3@C=B>2 2 :>=:@5B=KE A;CG0OE M:>=><8G5A:8 =5F5;5A>>1@07=0, B> 2 3@C=B>2KE CA;>28OE I B8?0 ?> ?@>A04>G=>AB8 4;O 740=89 8 A>>@C65=89 III :;0AA0 4>?CA:05BAO CAB@>9AB2> A209 (:@><5 A209->1>;>G5:) A 703;C1;5=85< =86=8E :>=F>2 =5 <5=55 G5< =0 1 < 2 A;>9 3@C=B0 A >B=>A8B5;L=>9 ?@>A04>G=>ABLN ssl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ssl ( 0,02, 5A;8 =5ACI0O A?>A>1=>ABL A209 ?>4B25@645=0 8A?KB0=8O<8. 8.5.  A;CG05, 5A;8 ?> @57C;LB0B0< 8=65=5@=KE 87KA:0=89 CAB0=>2;5=>, GB> ?>3@C65=85 70182=KE A209 2 ?@>A04>G=K5 3@C=BK <>65B 1KBL 70B@C4=5=>, 2 ?@>5:B5 4>;6=> 1KBL ?@54CA<>B@5=> CAB@>9AB2> ;845@=KE A:2068=, 480<5B@ :>B>@KE 2 3@C=B>2KE CA;>28OE I B8?0 A;54C5B =07=0G0BL <5=55 @07<5@0 A5G5=8O A208 (4> 50 <<), 0 2 3@C=B>2KE CA;>28OE II B8?0  @02=K< 5<C 8;8 <5=55 (4> 50 <<).  ?>A;54=5< A;CG05 ;845@=K5 A:2068=K =5 4>;6=K 2KE>48BL 70 ?@545;K ?@>A540NI59 B>;I8. 8.6. 0AG5B A209, ?@8<5=O5<KE 2 3@C=B>2KE CA;>28OE I B8?0, A;54C5B ?@>872>48BL 2 A>>B25BAB288 A C:070=8O<8 @074. 4,6 8 @5:><5=4C5<>3> ?@8;>65=8O 1 A CG5B>< B>3>, GB> A>?@>B82;5=8O 3@C=B>2 ?>4 =86=8<8 :>=F0<8 R 8 =0 1>:>2>9 ?>25@E=>AB8 fi A208 (A<. B01;. 1,2 8 7), :>MDD8F85=BK ?@>?>@F8>=0;L=>AB8  8 0 (A<. @5:><5=4C5<>5 ?@8;>65=85 1), <>4C;L 45D>@<0F88 , C3>; 2=CB@5==53> B@5=8O ( 8 C45;L=>5 AF5?;5=85 A 4>;6=K >?@545;OBLAO ?@8 CA;>28OE: 0) 5A;8 2>7<>6=> 70<0G820=85 3@C=B0  B> ?@8 ?>;=>< 2>4>=0AKI5=88 3@C=B0, ?@8 MB>< @0AG5B=K5 B01;8G=K5 E0@0:B5@8AB8:8 A;54C5B ?@8=8<0BL ?@8 ?>:070B5;5 B5:CG5AB8, >?@545;O5<>< ?> D>@<C;5  EMBED Equation.2  (31) 345 e  :>MDD8F85=B ?>@8AB>AB8 3@C=B0 ?@8@>4=>9 ?;>B=>AB8; (w  C45;L=K9 25A 2>4K; (w = 10 :/<3 (1 BA/<3); (s  C45;L=K9 25A B25@4KE G0AB8F, :/<3 (BA/<); Wp, WL  2;06=>ABL 3@C=B0 =0 3@0=8F5 @0A:0BK20=8O 8 =0 3@0=8F5 B5:CG5AB8 2 4>;OE 548=8FK; 5A;8 ?> D>@<C;5 (31) IL < 0,4, A;54C5B ?@8=8<0BL IL = 0,4; 1) 5A;8 70<0G820=85 3@C=B0 =52>7<>6=>  B> ?@8 2;06=>AB8 W 8 ?>:070B5;5 B5:CG5AB8 IL 3@C=B0 2 ?@8@>4=>< A>AB>O=88 (:>340 W< Wp, ?@8=8<05BAO Wp). 8.7. 5ACI0O A?>A>1=>ABL A209 2 2KHB0<?>20==>< ;>65, ?@8<5=O5<KE 2 3@C=B>2KE CA;>28OE I B8?0, 4>;6=0 =07=0G0BLAO 2 A>>B25BAB288 A B@51>20=8O<8 ?. 4.4 :0: 4;O 70182=KE A209 A =0:;>==K<8 3@0=O<8 ?@8 A>1;N45=88 4>?>;=8B5;L=KE B@51>20=89, 87;>65==KE 2 ?. 8.6. 8.8. 5ACICN A?>A>1=>ABL A209, ?@8<5=O5<KE 2 3@C=B>2KE CA;>28OE I B8?0, ?> @57C;LB0B0< 8E AB0B8G5A:8E 8A?KB0=89, ?@>2545==KE A ;>:0;L=K< 70<0G820=85< 3@C=B0 2 ?@545;0E 2A59 4;8=K A208 A>3;0A=> !" 5686-78, A;54C5B >?@545;OBL 2 A>>B25BAB288 A B@51>20=8O<8 @074. 5.  3@C=B>2KE CA;>28OE I B8?0 ?@8 =0;8G88 >?KB0 AB@>8B5;LAB20 =0 70AB@08205<>9 B5@@8B>@88 8 @57C;LB0B>2 @0=55 2K?>;=5==KE AB0B8G5A:8E 8A?KB0=89 A209 2 0=0;>38G=KE CA;>28OE 8A?KB0=8O A209 4>?CA:05BAO =5 ?@>872>48BL. 5 4>?CA:05BAO >?@545;OBL =5ACICN A?>A>1=>ABL A209 8 A209->1>;>G5:, CAB@08205<KE 2 ?@>A04>G=KE 3@C=B0E, ?> 40==K< @57C;LB0B>2 8E 48=0<8G5A:8E 8A?KB0=89, 0 B0:65 >?@545;OBL @0AG5B=K5 A>?@>B82;5=8O ?@>A04>G=KE 3@C=B>2 ?>4 =86=8< :>=F>< R 8 =0 1>:>2>9 ?>25@E=>AB8 A208 fi ?> 40==K< @57C;LB0B>2 ?>;52KE 8A?KB0=89 MB8E 3@C=B>2 7>=48@>20=85<. !B0B8G5A:>5 7>=48@>20=85 4>?CA:05BAO ?@8<5=OBL =865 3@0=8FK ?@>A04>G=>9 B>;I8 ?@8 2K1>@5 A;>52 3@C=B0 4;O >?8@0=8O A209 2 A>>B25BAB288 A ?. 8.4. 8.9.  3@C=B>2KE CA;>28OE I B8?0 ?><8<> A209, C:070==KE 2 @074. 2, A;54C5B B0:65 ?@8<5=OBL =0182=K5 15B>==K5 8 65;57>15B>==K5 A208, CAB@08205<K5 2 ?@>1C@5==KE A:2068=0E A 701>5<, C?;>B=5==K< 2B@0<1>2K20=85< I51=O =0 3;C18=C =5 <5=55 3d (345 d  480<5B@ A:2068=K).  3@C=B>2KE CA;>28OE II B8?0 @5:><5=4C5BAO ?@8<5=OBL A208 A 0=B8D@8:F8>==K<8 ?>:@KB8O<8, =0=5A5==K<8 =0 G0ABL AB2>;0, =0E>4OICNAO 2 ?@545;0E ?@>A540NI59 B>;I8. 8.10. !208 ?> =5ACI59 A?>A>1=>AB8 3@C=B>2 >A=>20=8O 2 3@C=B>2KE CA;>28OE II B8?0 A;54C5B @0AAG8BK20BL 8AE>4O 87 CA;>28O  EMBED Equation.2  (32) 345 N  @0AG5B=0O =03@C7:0, : (Bc), =0 >4=C A20N, >?@545;O5<0O ?@8 ?@>5:B8@>20=88 A209=KE DC=40<5=B>2 740=89 8 A>>@C65=89; Fd  =5ACI0O A?>A>1=>ABL, : (Bc), >?@545;O5<0O 2 A>>B25BAB288 A ?. 8.12; (k  :>MDD8F85=B =0456=>AB8, ?@8=8<05<K9 ?> C:070=8O< ?. 3.10; (c  :>MDD8F85=B CA;>289 @01>BK, 7=0G5=85 :>B>@>3> 7028A8B >B 2>7<>6=>3> 7=0G5=8O ?@>A04:8 3@C=B0 ssl: ?@8 ssl = 5 A< (c = 0, ?@8 ssl ( 2 su (c = 0,8, 4;O ?@><56CB>G=KE 7=0G5=89 su (c >?@545;O5BAO 8=B5@?>;OF859; n  >B@8F0B5;L=0O A8;0 B@5=8O, >?@545;O5<0O 2 A>>B25BAB288 A ?. 8.11. @8<5G0=8O: 1. =0G5=85 n A;54C5B >?@545;OBL, :0: ?@028;>, 4;O ?>;=>ABLN 2>4>=0AKI5==>3> 3@C=B0 (?@8 2>7<>6=>< 70<0G820=88 3@C=B>2 A25@EC).  A;CG05 70<0G820=8O 3@C=B>2 A=87C (?@8 ?>4J5<5 C@>2=O ?>475<=KE 2>4) >B@8F0B5;L=0O A8;0 B@5=8O (n >?@545;O5BAO 4;O 3@C=B>2 ?@8@>4=>9 2;06=>AB8. 2. > ?@>G=>AB8 <0B5@80;0 A208 4>;6=K 1KBL @0AAG8B0=K =0 =03@C7:C N+ n (?@8 70<0G820=88 3@C=B>2 A25@EC) 8;8 N+ (n (?@8 70<0G820=88 3@C=B>2 A=87C), 459AB2CNICN =0 3;C18=5 hsl (A<.?. 8.11). 8.11. B@8F0B5;L=0O A8;0 B@5=8O n 2 2>4>=0AKI5==KE 3@C=B0E 8 (n 2 3@C=B0E ?@8@>4=>9 2;06=>AB8, 459AB2CNI0O =0 1>:>2>9 ?>25@E=>AB8 A208, : (Bc), ?@8=8<05BAO @02=>9 =081>;LH5<C ?@545;L=><C A>?@>B82;5=8N A208 4;8=>9 hsl ?> 8A?KB0=8O< 2K45@3820NI59 =03@C7:>9 A>3;0A=> !" 5686-78* A>>B25BAB25==> 2 2>4>=0AKI5==KE 3@C=B0E 8 3@C=B0E ?@8@>4=>9 2;06=>AB8. > ?@>2545=8O 8A?KB0=89 =0 2K45@3820=85 7=0G5=85 n 4>?CA:05BAO >?@545;OBL ?> D>@<C;5  EMBED Equation.2  (33) 345 8  ?5@8<5B@, <, CG0AB:0 AB2>;0 A208; hsl  @0AG5B=0O 3;C18=0, <, 4> :>B>@>9 ?@>872>48BAO AC<<8@>20=85 A8; 1>:>2>3> B@5=8O ?@>A540NI8E A;>52 3@C=B0, ?@8=8<05<0O @02=>9 3;C18=5, 345 7=0G5=85 ?@>A04:8 3@C=B0 >B 459AB28O A>1AB25==>3> 25A0 @02=> 0,05 <; 7=0G5=85 ?@>A04:8 3@C=B0 >A=>20=8O 4>;6=> >?@545;OBLAO 2 A>>B25BAB288 A B@51>20=8O<8 !8 2.02.01-83; (i @0AG5B=>5 A>?@>B82;5=85, :0 (BA/<2), >?@545;O5<>5 4> 3;C18=K h = 6 < ?> D>@<C;5 (i = ( (zg tg(I + cI 745AL (  :>MDD8F85=B 1>:>2>3> 402;5=8O, ?@8=8<05<K9 @02=K< 0,7; (I, cI  @0AG5B=K5 7=0G5=8O C3;0 2=CB@5==53> B@5=8O 8 C45;L=>3> AF5?;5=8O, >A@54=5==K5 ?> 3;C18=5 hsl 8 >?@545;O5<K5 2 A>>B25BAB288 A !" 12248-78 ?> <5B>4C :>=A>;848@>20==>3> 4@5=8@>20==>3> A@570: ?@8 3;C18=5 6< < h( hsl 7=0G5=85 B, ?@8=8<05BAO ?>AB>O==K< 8 @02=K< 7=0G5=8N (i =0 3;C18=5 6 <; (zg  25@B8:0;L=>5 =0?@O65=85 >B A>1AB25==>3> 25A0 2>4>=0AKI5==>3> 3@C=B0, :0 (BA/<2); hi  B>;I8=0, <, i-3> A;>O ?@>A04>G=>3> 3@C=B0, >A540NI53> ?@8 70<0G820=88 8 A>?@8:0A0NI53>AO A 1>:>2>9 ?>25@E=>ABLN A208. 8.12. 5ACICN A?>A>1=>ABL Fd, : (Bc), A209, @01>B0NI8E =0 A68<0NICN =03@C7:C, A;54C5B >?@545;OBL: 0) ?> @57C;LB0B0< AB0B8G5A:8E 8A?KB0=89 A209 A ;>:0;L=K< 70<0G820=85<  :0: @07=>ABL <564C =5ACI59 A?>A>1=>ABLN A209 4;8=>9 l =0 2402;820NICN =03@C7:C 8 =5ACI59 A?>A>1=>ABLN A209 4;8=>9 hsl =0 2K45@3820NICN =03@C7:C: 1) @0AG5B>< 2 A>>B25BAB288 A C:070=8O<8 ?. 8.6 2 CA;>28OE ?>;=>3> 2>4>=0AKI5=8O 3@C=B>2 2 ?@545;0E A;>52 3@C=B0 =865 3;C18=K hsl. 8.13. @>2545=85 AB0B8G5A:8E 8A?KB0=89 A209 2 3@C=B0E II B8?0 ?> ?@>A04>G=>AB8 O2;O5BAO >1O70B5;L=K<. 8.14. ;O >A>1> >B25BAB25==KE A>>@C65=89 8 ?@8 <0AA>2>9 70AB@>9:5 2 @09>=0E A =587CG5==K<8 3@C=B>2K<8 CA;>28O<8 A;54C5B ?@>872>48BL 8A?KB0=8O A 4;8B5;L=K< 70<0G820=85< >A=>20=8O 4> ?>;=>3> ?@>O2;5=8O ?@>A04>: ?> ?@>3@0<<5, @07@01>B0==>9 4;O :>=:@5B=KE CA;>289 A ?@82;5G5=85< A?5F80;878@>20==>9 =0CG=>-8AA;54>20B5;LA:>9 >@30=870F88. 8.15. A;8 =0 1>:>2>9 ?>25@E=>AB8 A209 2>7<>6=> ?>O2;5=85 >B@8F0B5;L=KE A8; B@5=8O, B> >A04:C A209=>3> DC=40<5=B0 87 28AOG8E A209 A;54C5B >?@545;OBL :0: 4;O CA;>2=>3> DC=40<5=B0, :>B>@K9 ?@8=8<05BAO >3@0=8G5==K< A 1>:>2 25@B8:0;L=K<8 ?;>A:>ABO<8, >BAB>OI8<8 >B =0@C6=KE 3@0=59 :@09=8E @O4>2 25@B8:0;L=KE A209 =0 @0AAB>O=88 hmttg((II,mt/4), 345 hmt  @0AAB>O=85 >B =86=53> :>=F0 A208 4> 3;C18=K hsl.; ((II,mt  B> 65, GB> 2 D>@<C;5 (29), >?@545;O5<>5 2 ?@545;0E A;>52 =0 3;C18=C hmt. @8 ?>4AG5B5 =03@C7>: : A>1AB25==><C 25AC CA;>2=>3> DC=40<5=B0 4>;6=K 1KBL 4>102;5=K >B@8F0B5;L=K5 (=530B82=K5) A8;K B@5=8O, >?@545;5==K5 ?> D>@<C;5 (33) ?@8 ?5@8<5B@5 8, <, @02=>< ?5@8<5B@C @>AB25@:0 2 ?@545;0E 53> 2KA>BK 8 ?5@8<5B@C :CAB0 ?> =0@C6=K< 3@0=O< A209. 8.16. ?@545;5=85 =5@02=><5@=>AB8 >A04>: A209=KE DC=40<5=B>2 2 ?@>A04>G=KE 3@C=B0E 4;O @0AG5B0 :>=AB@C:F89 740=89 8 A>>@C65=89 4>;6=> ?@>872>48BLAO A CG5B>< ?@>3=>78@C5<KE 87<5=5=89 384@>35>;>38G5A:8E CA;>289 ?;>I048 70AB@>9:8 8 2>7<>6=>3> =081>;55 =51;03>?@8OB=>3> 2840 8 @0A?>;>65=8O 8AB>G=8:0 70<0G820=8O ?> >B=>H5=8N : @0AAG8BK205<><C DC=40<5=BC 8;8 A>>@C65=8N 2 F5;><. 8.17.  3@C=B>2KE CA;>28OE II B8?0 2 A;CG05, :>340 2>7<>6=0 ?@>A04:0 3@C=B0 >B A>1AB25==>3> 25A0, ?@8<5=5=85 A209=KE DC=40<5=B>2 =5 8A:;NG05B =5>1E>48<>AB8 2K?>;=5=8O 2>4>70I8B=KE <5@>?@8OB89. @8 MB>< 4>;6=0 1KBL B0:65 ?@54CA<>B@5=0 @07@57:0 740=89 >A04>G=K<8 H20<8 =0 1;>:8 ?@>AB>9 :>=D83C@0F88.  ?@>872>4AB25==KE 740=8OE ?@><KH;5==KE ?@54?@8OB89, >1>@C4>20==KE :@0=0<8, :@><5 B>3>, 4>;6=K 1KBL ?@54CA<>B@5=K :>=AB@C:B82=K5 <5@>?@8OB8O, >15A?5G820NI85 2>7<>6=>ABL @8EB>2:8 ?>4:@0=>2KE ?CB59 =0 C42>5==>5 7=0G5=85 @0AG5B=>9 >A04:8 A209=KE DC=40<5=B>2, => =5 <5=55 ?>;>28=K ?@>A04:8 3@C=B0 >B A>1AB25==>3> 25A0. 8.18. @8 ?@>A04:0E 3@C=B0 >B A>1AB25==>3> 25A0 1>;55 30 A< A;54C5B CG8BK20BL 2>7<>6=>ABL 3>@87>=B0;L=KE ?5@5<5I5=89 A209=KE DC=40<5=B>2, ?>?040NI8E 2 ?@545;K :@82>;8=59=>9 G0AB8 ?@>A04>G=>9 2>@>=:8. 8.19.  3@C=B>2KE CA;>28OE II B8?0 ?@8 >?@545;5=88 =03@C7>:, 459AB2CNI8E =0 A209=K9 DC=40<5=B, A;54C5B CG8BK20BL >B@8F0B5;L=K5 A8;K B@5=8O, :>B>@K5 <>3CB ?>O2;OBLAO =0 @0A?>;>65==KE 2KH5 ?>4>H2K A209=>3> @>AB25@:0 1>:>2KE ?>25@E=>ABOE 703;C1;5==KE 2 3@C=B G0AB59 740=8O 8;8 A>>@C65=8O. 8.20. @8 ?@8<5=5=88 A209=KE DC=40<5=B>2 ?;0=8@>2>G=K5 ?>4AK?:8 3@C=B>2 1>;55 1 < =0 B5@@8B>@8OE, A;>65==KE ?@>A04>G=K<8 3@C=B0<8, 4>?CA:0NBAO B>;L:> ?@8 A?5F80;L=>< >1>A=>20=88. 8.21. @8 ?@>5:B8@>20=88 A209=KE DC=40<5=B>2, CAB@08205<KE 2 3@C=B>2KE CA;>28OE II B8?0, :>MDD8F85=B =0456=>AB8 ?> =07=0G5=8N =5 CG8BK205BAO. 9. !!"  " /!+% $#"  #%.)%  #"% 9.1. @8 ?@>5:B8@>20=88 A209=KE DC=40<5=B>2 2 =01CE0NI8E 3@C=B0E 4>?CA:05BAO ?@54CA<0B@820BL :0: ?>;=CN ?@>@57:C A20O<8 2A59 B>;I8 =01CE0NI8E 3@C=B>2 (A >?8@0=85< =86=8E :>=F>2 =0 =5=01CE0NI85 3@C=BK), B0: 8 G0AB8G=CN ?@>@57:C (A >?8@0=85< =86=8E :>=F>2 =5?>A@54AB25==> 2 B>;I5 =01CE0NI8E 3@C=B>2). 9.2. 0AG5B A209=KE DC=40<5=B>2 2 =01CE0NI8E 3@C=B0E A;54C5B ?@>872>48BL ?> ?@545;L=K< A>AB>O=8O< 2 A>>B25BAB288 A B@51>20=8O<8, ?@82545==K<8 2 @074. 3 6. @8 @0AG5B5 A209=KE DC=40<5=B>2 2 =01CE0NI8E 3@C=B0E ?> 45D>@<0F8O< 4>;65= B0:65 2K?>;=OBLAO 4>?>;=8B5;L=K9 @0AG5B ?> >?@545;5=8N ?>4J5<0 A209 ?@8 =01CE0=88 3@C=B0 2 A>>B25BAB288 A B@51>20=8O<8 ??. 9.4 9.6. 9.3. @8 @0AG5B5 A209=KE DC=40<5=B>2 2 =01CE0NI8E 3@C=B0E ?> =5ACI59 A?>A>1=>AB8 7=0G5=8O @0AG5B=KE A>?@>B82;5=89 =01CE0NI8E 3@C=B>2 ?>4 =86=8< :>=F>< R 8 =0 1>:>2>9 ?>25@E=>AB8 fi A208 8;8 A208->1>;>G:8 4>;6=K ?@8=8<0BLAO =0 >A=>20=88 @57C;LB0B>2 AB0B8G5A:8E 8A?KB0=89 A209 8 A209-HB0<?>2 2 =01CE0NI8E 3@C=B0E A 70<0G820=85< =0 AB@>8B5;L=>9 ?;>I04:5 8;8 ?@8;530NI8E : =59 B5@@8B>@8OE, 8<5NI8E 0=0;>38G=K5 3@C=BK. @8 >BACBAB288 :> 2@5<5=8 ?@>5:B8@>20=8O A209=KE DC=40<5=B>2 @57C;LB0B>2 C:070==KE AB0B8G5A:8E 8A?KB0=89 @0AG5B=>5 A>?@>B82;5=85 =01CE0NI8E 3@C=B>2 ?>4 =86=8< :>=F>< R 8 =0 1>:>2>9 ?>25@E=>AB8 fi A209 8 A209->1>;>G5: 480<5B@>< <5=55 1 < 4>?CA:05BAO ?@8=8<0BL ?> B01;. 1, 2 8 7 :0: 4;O =5=01CE0NI8E 3@C=B>2 A 22545=85< 4>?>;=8B5;L=>3> :>MDD8F85=B0 CA;>289 @01>BK 3@C=B0 (c = 0,5, CG8BK205<>3> =57028A8<> >B 4@C38E :>MDD8F85=B>2 CA;>289 @01>BK, ?@82545==KE 2 B01;. 3 8 5. 9.4. >4J5< hsw,p, <, 70182=KE A209, ?>3@C65==KE 2 ?@5420@8B5;L=> ?@>1C@5==K5 ;845@=K5 A:2068=K, =0182=KE A209 157 CH8@5=8O, 0 B0:65 A209->1>;>G5:, =5 ?@>@570NI8E =01CE0NICN 7>=C 3@C=B>2, A;54C5B >?@545;OBL ?> D>@<C;5 hsw,p =  EMBED Equation.2  (35) 345 hsw  ?>4J5< ?>25@E=>AB8 =01CE0NI53> 3@C=B0, <; h(sw,p  ?>4J5< A;>O 3@C=B0 2 C@>2=5 70;>65=8O =86=53> :>=F0 A209 (2 A;CG05 ?@>@57:8 =01CE0NI53> 3@C=B0 h(sw,p = 0), <; (, (  :>MDD8F85=BK, >?@545;O5<K5 ?> B01;. 17, ?@8 MB>< ( 7028A8B >B ?>:070B5;O 0, :>B>@K9 E0@0:B5@87C5B C<5=LH5=85 45D>@<0F88 ?> 3;C18=5 <0AA820 ?@8 =01CE0=88 3@C=B0 8 ?@8=8<05BAO 4;O =01CE0NI8E 3;8=: A0@<0BA:8E  0,31 <-1, 0@0;LA:8E 0,36 <-1 8 E20;K=A:8E  0,42 <-1; u  ?5@8<5B@ A208, <; N  @0AG5B=0O =03@C7:0 =0 A20N, : (Bc), >?@545;5==0O A :>MDD8F85=B>< =0456=>AB8 ?> =03@C7:5 (f = 1. @545;L=K5 7=0G5=8O ?>4J5<0 A>>@C65=89, 0 B0:65 7=0G5=85 ?>4J5<0 ?>25@E=>AB8 =01CE0NI53> 3@C=B0 hsw 8 ?>4J5<0 A;>O 3@C=B0 2 C@>2=5 @0A?>;>65=8O =86=8E :>=F>2 A209 hsw,p A;54C5B >?@545;OBL 2 A>>B25BAB288 A B@51>20=8O<8 !8 2.02.01-83. 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«0»  «2» @0AG5B0E 4>;6=K 2K?>;=OBLAO B0:65 B@51>20=8O, ?@82545==K5 2 ??. 11.3  11.8. @8<5G0=85. @8 >?@545;5=88 @0AG5B=KE 7=0G5=89 A59A<8G5A:8E =03@C7>:, 459AB2CNI8E =0 740=85 8;8 A>>@C65=85, 2KA>:89 A209=K9 @>AB25@: A;54C5B @0AA<0B@820BL :0: :0@:0A=K9 =86=89 MB06. 11.3. @8 @0AG5B5 =5ACI59 A?>A>1=>AB8 A209 =0 A68<0NICN 8;8 2K45@3820NICN =03@C7:C Feq 7=0G5=8O R 8 fi A;54C5B C<=>68BL =0 ?>=860NI85 :>MDD8F85=BK CA;>289 @01>BK 3@C=B0 >A=>20=8O (eq1 8 (eq2 , ?@82545==K5 2 B01;. 18. =0G5=8O R A;54C5B B0:65 C<=>68BL =0 :>MDD8F85=B CA;>289 @01>BK (eq3, ?@8=8<05<K9: (eq3 = 1 ?@8  EMBED Equation.2  ( 3 8 (eq3 = 0,9 ?@8  EMBED Equation.2 < 3, 345  EMBED Equation.2  ?@82545==0O 4;8=0 A208, >?@545;O5<0O ?> C:070=8O< @5:><5=4C5<>3> ?@8;>65=8O 1. @><5 B>3>, A>?@>B82;5=85 3@C=B0 fi =0 1>:>2>9 ?>25@E=>AB8 A208 4> @0AG5B=>9 3;C18=K hd (A<. ?. 11.4) A;54C5B ?@8=8<0BL @02=K< =C;N. 11.4. 0AG5B=0O 3;C18=0 hd 4> :>B>@>9 =5 CG8BK205BAO A>?@>B82;5=85 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 A208, >?@545;O5BAO ?> D>@<C;5 (40), => ?@8=8<05BAO =5 1>;55 3/((:  EMBED Equation.2  (40) 345 01, a2, a3  157@07<5@=K5 :>MDD8F85=BK, @02=K5 A>>B25BAB25==> 1,5; 0,8 8 0,6 ?@8 2KA>:>< @>AB25@:5 8 4;O >B45;L=> AB>OI59 A208 8 1,2; 1,2 8 0  ?@8 65AB:>9 7045;:5 A208 2 =87:89 @>AB25@:; H, M  @0AG5B=K5 7=0G5=8O A>>B25BAB25==> 3>@87>=B0;L=>9 A8;K, : (BA), 8 873810NI53> <><5=B0, :(< (Bc(<), ?@8;>65==KE : A205 2 C@>2=5 ?>25@E=>AB8 3@C=B0 ?@8 >A>1>< A>G5B0=88 =03@C7>: A CG5B>< A59A<8G5A:8E 2>7459AB289; ((  :>MDD8F85=B 45D>@<0F88, 1/<, >?@545;O5<K9 ?> @5:><5=4C5<><C ?@8;>65=8N 1; bp  CA;>2=0O H8@8=0 A208, <, >?@545;O5<0O ?> @5:><5=4C5<><C ?@8;>65=8N 1; (I  @0AG5B=>5 7=0G5=85 C45;L=>3> 25A0 3@C=B0, :/<3 (BA/<3), >?@545;O5<>5 2 2>4>=0AKI5==KE 3@C=B0E A CG5B>< 2725H820NI53> 459AB28O 2>4K; (I, cI  @0AG5B=K5 7=0G5=8O A>>B25BAB25==> C3;0 2=CB@5==53> B@5=8O 3@C=B0, 3@04, 8 C45;L=>3> AF5?;5=8O 3@C=B0, :/<2 (BA/<2), ?@8=8<05<K5 2 A>>B25BAB288 A C:070=8O<8 ??.3.5 8 11.5. 11.5. ?@545;5=85 @0AG5B=>9 3;C18=K hd ?@8 2>7459AB288 A59A<8G5A:8E =03@C7>: A;54C5B ?@>872>48BL, ?@8=8<0O 7=0G5=8O @0AG5B=>3> C3;0 2=CB@5==53> B@5=8O (I C<5=LH5==K<8 4;O @0AG5B=>9 A59A<8G=>AB8 7 10;;>2  =0 2(, 8 10;;>2  =0 4(, 9 10;;>2  =0 7(. 11.6. @8 @0AG5B5 A209=KE DC=40<5=B>2 <>AB>2 2;8O=85 A59A<8G5A:>3> 2>7459AB28O =0 CA;>28O 7045;:8 A209 2 2>4>=0AKI5==KE ?K;520BKE ?5A:0E, 2 ?K;520B>-3;8=8ABKE 3@C=B0E A ?>:070B5;5< B5:CG5AB8 IL > 0,5 A;54C5B CG8BK20BL ?CB5< ?>=865=8O =0 30 % 7=0G5=89 :>MDD8F85=B>2 ?@>?>@F8>=0;L=>AB8 , ?@82545==KE 4;O MB8E 3@C=B>2 2 @5:><5=4C5<>< ?@8;>65=88 1.  @0AG5B0E =5ACI59 A?>A>1=>AB8 A209 ?@8 459AB288 3>@87>=B0;L=>9 =03@C7:8 A;54C5B CG8BK20BL :@0B:>2@5<5==K9 E0@0:B5@ 2>7459AB28O A59A<8G5A:>9 =03@C7:8 ?CB5< ?>2KH5=8O :>MDD8F85=B0 (2 2 D>@<C;5 (24) @5:><5=4C5<>3> ?@8;>65=8O 1. @8 @0AG5B0E >4=>@O4=KE DC=40<5=B>2 =0 =03@C7:8, 459AB2CNI85 2 ?;>A:>AB8, ?5@?5=48:C;O@=>9 @O4C, 7=0G5=85 :>MDD8F85=B0 (2 C25;8G8205BAO =0 10%, 2 >AB0;L=KE A;CG0OE  =0 30 %. 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EMBED Equation.2  "01;8F019 >?>;=8B5;L=K5 :>MDD8F85=BK CA;>289 @01>BK (ñ ?@8 4;8=5 A20884 DC=40<5=B0, E0@0:B5@8AB8:0l < 25 d 8 >B=>H5=883@C=B0 8 =03@C7:8l ( 25d EMBED Equation.2 ( 0,1 EMBED Equation.2 ( 0,4 EMBED Equation.2 ( 0,61. $C=40<5=B ?>4 =>@<0;L=CN ?@><56CB>G=CN >?>@C ?@8 @0AG5B5:0) >48=>G=KE A209 =0 2K45@3820NI85 =03@C7:8:2 ?5AG0=KE 3@C=B0E 8 AC?5AOE0,90,90,80,552 3;8=0E 8 AC3;8=:0E ?@8 IL < 0,61,151,151,050,7B> 65, ?@8 IL > 0,61,51,51,350,91) >48=>G=KE A209 =0 A68<0NI85 =03@C7:8 8 A209 2 A>AB025 :CAB0 =0 2K45@3820NI85 =03@C7:8:2 ?5AG0=KE 3@C=B0E 8 AC?5AOE0,90,90,90,92 3;8=0E 8 AC3;8=:0E ?@8 IL < 0,61,151,151,151,15B> 65, ?@8 IL > 0,61,51,51,51,52. $C=40<5=B ?>4 0=:5@=CN, C3;>2CN :>=F52CN >?>@K, ?>4 >?>@K 1>;LH8E ?5@5E>4>2 ?@8 @0AG5B5:0) >48=>G=KE A209 =0 2K45@3820NI85 =03@C7:8: 2 ?5AG0=KE 3@C=B0E 8 AC?5AOE 2 3;8=0E 8 AC3;8=:0E 0,8 1,0 0,8 1,0 0,7 0,9 0,6 0,61) A209 2 A>AB025 :CAB0 =0 2K45@3820NI85 =03@C7:8: 2 ?5AG0=KE 3@C=B0E 8 AC?5AOE 2 3;8=0E 8 AC3;8=:0E 0,8 1,0 0,8 1,0 0,8 1,0 0,8 1,02) =0 A68<0NI85 =03@C7:8 2> 2A5E 3@C=B0E1,01,01,01,0 B01;. 19 ?@8=OBK >1>7=0G5=8O: d  480<5B@ :@C3;>3>, AB>@>=0 :204@0B=>3> 8;8 1>;LH0O AB>@>=0 ?@O<>C3>;L=>3> A5G5=8O A208;   3>@87>=B0;L=0O A>AB02;ONI0O @0AG5B=>9 =03@C7:8; N  25@B8:0;L=0O A>AB02;ONI0O @0AG5B=>9 =03@C7:8, @8<5G0=85. @8 ?>3@C65=88 >48=>G=>9 A208 A =0:;>=>< 2 AB>@>=C 459AB28O 3>@87>=B0;L=>9 A>AB02;ONI59 =03@C7:8 ?@8 C3;5 =0:;>=0 : 25@B8:0;8 1>;55 10( 4>?>;=8B5;L=K9 :>MDD8F85=B CA;>289 @01>BK A;54C5B ?@8=8<0BL :0: 4;O 25@B8:0;L=>9 A208, @01>B0NI59 2 A>AB025 :CAB0 (?> ?>7. 1,1 8;8 2,1).12.9. @8 @0AG5B5 =0 2K45@3820NI85 =03@C7:8 A208, @01>B0NI59 2 A209=>< :CAB5 87 G5BK@5E A209 8 <5=55, @0AG5B=CN =5ACICN A?>A>1=>ABL A208 A;54C5B C<5=LH8BL =0 20 %. 12.10. ;O A209, 2>A?@8=8<0NI8E 2K45@3820NI85 =03@C7:8, 4>?CA:05BAO ?@54CA<0B@820BL ?>3@C65=85 8E 2 ;845@=K5 A:2068=K, ?@8 MB>< @07=8F0 <564C ?>?5@5G=K< @07<5@>< A208 8 480<5B@>< ;845@=>9 A:2068=K 4>;6=0 1KBL =5 <5=55 0,15 <. 13. !!"  " / !+% $#" -"+% !,!%  13.1. A>15==>AB8 ?@>5:B8@>20=8O A209=KE DC=40<5=B>2 @0A?@>AB@0=ONBAO =0 A;54CNI85 284K <0;>MB06=KE A5;LA:8E 740=89: 4><0 CA0451=>3> B8?0, 682>B=>2>4G5A:85 8 ?B8F52>4G5A:85, A:;04K A5;LA:>E>7O9AB25==KE ?@>4C:B>2 8 A5;LA:>E>7O9AB25==>9 B5E=8:8, =025AK @07;8G=>3> =07=0G5=8O 8 B.?. A @0AG5B=>9 =03@C7:>9 2 C@>2=5 F>:>;O AB5=K 740=89 4> 150 :/< (15 BA/<), 0 =0 :>;>==C  4> 400 : (40 BA). 13.2. @8 ?@>5:B8@>20=88 A209=KE DC=40<5=B>2 <0;>MB06=KE A5;LA:8E 740=89 A;54C5B ?@8<5=OBL ?@58<CI5AB25==> A208-:>;>==K, :>@>B:85 ?8@0<840;L=K5 A208 A ?@5420@8B5;L=> =0?@O65==>9 0@<0BC@>9 157 ?>?5@5G=>3> 0@<8@>20=8O, 1C@>2K5 A208 4;8=>9 4> 3 < A C?;>B=5==K< B@0<1>20=85< 701>5< 8 =0182=K5 A208, CAB@08205<K5 2 ?@>182=KE A:2068=0E, ?@54CA<>B@5==KE ?. 2.4,1.  DC=40<5=B0E A5;LA:8E 740=89 @0A?>@=>9 :>=AB@C:F88 A;54C5B ?@8<5=OBL A208 B02@>2>3> 8 42CB02@>2>3> A5G5=89 A :>=A>;O<8. @8<5G0=8O: 1. @8<5=5=85 A209-:>;>== 4;O <0;>MB06=KE A5;LA:8E 740=89, 2>72>48<KE 2 A59A<8G5A:8E @09>=0E, 4>?CA:05BAO ?@8 3;C18=5 ?>3@C65=8O A209-:>;>== 2 3@C=B =5 <5=55 2 <. 2. #?;>B=5=85 701>O A:2068= ?@8 CAB@>9AB25 1C@>2KE A209 4;8=>9 4> 3 < 4>;6=> >ACI5AB2;OBLAO ?CB5< 2B@0<1>2K20=8O 2 3@C=B A;>O I51=O B>;I8=>9 =5 <5=55 10 A<. 3.  ?@>5:B0E A209=KE DC=40<5=B>2 <0;>MB06=KE A5;LA:8E 740=89 =0 ?@>A04>G=KE 3@C=B0E A ?@>A04:>9 >B 8E A>1AB25==>3> 25A0 4> 15 A< 4>?CA:05BAO =5 ?@54CA<0B@820BL ?>;=>9 ?@>@57:8 A20O<8 ?@>A04>G=>9 B>;I8, 5A;8 =0475<=K5 :>=AB@C:F88 740=89 ?@>5:B8@CNBAO A ?@8<5=5=85< :>=AB@C:B82=KE <5@>?@8OB89, >15A?5G820NI8E 2>7<>6=>ABL 8E =>@<0;L=>9 M:A?;C0B0F88 ?@8 >?@545;5==KE @0AG5B>< =5@02=><5@=KE >A04:0E 8 ?@>A04:0E DC=40<5=B>2. 13.3. @8 @0AG5B5 =5ACI59 A?>A>1=>AB8 A209 ?> D>@<C;5 (8) @0AG5B=K5 A>?@>B82;5=8O 3@C=B0 R, :0 (BA/<2), ?>4 =86=8< :>=F>< 70182=KE A209 ?@8 3;C18=5 ?>3@C65=8O >B 2 4> 3< A;54C5B ?@8=8<0BL ?> B01;. 20, 0 =0 1>:>2>9 ?>25@E=>AB8 fi, :0 (BA/<2),  ?> B01;. 21. 13.4. 0AG5B=K5 A>?@>B82;5=8O 3@C=B0 R, :0 (BA/<2), ?>4 =86=8< :>=F>< =0182=KE 8 1C@>2KE A209 A C?;>B=5==K< 701>5< ?@8 3;C18=5 ?>3@C65=8O A209 >B 2 4> 3< A;54C5B ?@8=8<0BL ?> B01;. 22; ?@8 MB>< 4;O ?;>B=KE ?5AG0=KE 3@C=B>2 B01;8G=K5 7=0G5=8O A;54C5B C25;8G8BL 2 1,3 @070. 0AG5B=K5 A>?@>B82;5=8O fi, :0 (BA/<2), =0 1>:>2>9 ?>25@E=>AB8 =0182=KE 8 1C@>2KE A209 4>?CA:05BAO ?@8=8<0BL ?> B01;. 21 A 4>?>;=8B5;L=K< :>MDD8F85=B>< CA;>289 @01>BK, @02=K< 0,9. "01;8F0 20 ;C18=0 ?>3@C65=8O A208, <>MDD8F85=B ?>@8AB>AB8, 5 0AG5B=K5 A>?@>B82;5=8O 3@C=B>2 ?>4 =86=8< :>=F>< 70182=KE A209 R, :0 (BA/<2)?5AG0=KE?K;520B>-3;8=8ABKE ?@8 ?>:070B5;5 B5:CG5AB8 IL, @02=><:@C?=KEA@54=59 :@C?=>AB8<5;:8E?K;520BKE 0,0 0,2 0,4 0,6 0,8 1,02( 0,55 0,70 1,008300 (830) 6400 (640) 3900 (390) 3000 (300) 2500 (250) 1900 (190) 1500 (150) 1200 (120) 6500 (650) 5400 (540) 3200 (320)3900 (390) 3200 (320) 1900 (190)2000 (200) 1700 (170) 1000 (100)1000 (100) 900 (90) 600 (60)600 (60) 500 (50) 300 (30)300 (30) 250 (25) 150 (50)3( 0,55 0,70 1,008500 (850) 6600 (660) 4100 (410) 3200 (320) 2700 (270) 2100 (210) 1600 (160) 1300 (130) 6600 (660) 5500 (550) 3300 (330)4000 (400) 3300 (330) 2000 (200)2100 (210) 1800 (180) 1100 (110)1100 (110) 1000 (100) 700 (70)650 (65) 550 (55) 350 (35)350 (35) 250 (25) 200 (20)@8<5G0=85. ;O ?@><56CB>G=KE 7=0G5=89 IL 8 5 7=0G5=8O R >?@545;ONBAO 8=B5@?>;OF859."01;8F0 21 !@54=OO 3;C18=0 >MDD8F85=B  0AG5B=K5 A>?@>B82;5=8O 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 70182=KE A209, 2 B>< G8A;5 B02@>2>3> 8 42CB02@>2>3> A5G5=89, fi, :0 (BA/<2)@0A?>;>65=8O ?>@8AB>AB8 3@C=B0  ?5AG0=>3> ?K;520B>-3;8=8AB>3> ?@8 ?>:070B5;5 B5:CG5AB8 IL, @02=><A;>O 3@C=B0 hi, m2 A;>5 5:@C?=>3> 8 A@54=59 :@C?=>AB8 <5;:>3> ?K;520B>3> 0,0 0,2 0,4 0,6 0,8 1,01( 0,55 0,7 1,0080 (8,0) 60 (6,0)  55 (5,5) 40 (4,0) 45 (4,5) 30 (3,0) 46 (4,6) 45 (4,5) 39 (3,9) 37 (3,7) 32 (3,2)32 (3,2) 30 (3,0) 23 (2,3)25 (2,5) 23 (2,3) 15 (1,5)18 (1,8) 16 (1,6) 10 (1,0)11 (1,1) 9 (0,9) 6 (0,6)2-3( 0,55 0,7 1,085 (8,5) 65 (6,5) 60 (6,0) 45 (4,5) 50 (5,0) 35 (3,5) 68 (6,8) 65 (6,5) 60 (6,0)53 (5,3) 50 (5,0) 45 (4,5)40 (4,0) 37 (3,7) 32 (3,2)29 (2,9) 26 (2,6) 21 (2,1)20 (2,0) 18 (1,8) 13 (1,3)13 (1,3) 11 (1,1) 7 (0,7)@8<5G0=85. ;O ?@><56CB>G=KE 7=0G5=89 hi, 5 8 IL 7=0G5=8O fi >?@545;ONBAO 8=B5@?>;OF859"01;8F0 22 @C=BK >MDD8F85=B ?>@8AB>AB8 5 0AG5B=K5 A>?@>B82;5=8O ?>4 =86=8< :>=F>< =0182=KE 8 1C@>2KE A209 R, :0 (BA/<2), ?@8 3;C18=5 8E ?>3@C65=8O 2-3 < 8 @0AG5B=K5 A>?@>B82;5=8O ?>4 :>=A>;O<8 A209-:>;>== RA>?, :0 (BA/<2)?5AG0=KE 3@C=B>2:@C?=KE A@54=59 :@C?=>AB8<5;:8E?K;520BKE?K;520B>-3;8=8ABKE 3@C=B>2 ?@8 ?>:070B5;5 B5:CG5AB8 IL, @02=><0,00,20,40,65A:8 A@54=59 ?;>B=>AB8  0,55-0,8  2000(200)  1500(150)  800(80)  500(50) !C?5A8 8 AC3;8=:80,5 0,7 1,0800(80) 650(65) 550(55)650(65) 550(55) 450(45)550(55) 450(45) 350(35)450(45) 350(35) 250(25);8=K0,5 0,6 0,81400(140) 1100(110) 700(70)1100(110) 900(90) 600(60)900(90) 750(75) 500(50)700(70) 600(60) 400(40)13.5. 5ACICN A?>A>1=>ABL A208-:>;>==K A ?>3@C605<K<8 2 3@C=B 65;57>15B>==K<8 :>=A>;O<8, @01>B0NI59 =0 A68<0NICN =03@C7:C, A;54C5B >?@545;OBL :0: AC<<C A>?@>B82;5=89 3@C=B0 ?>4 =86=8< 55 :>=F><, ?>4 :>=A>;O<8 8 =0 1>:>2>9 ?>25@E=>AB8 ?> D>@<C;5  EMBED Equation.2  (42) 345  EMBED Equation.2   B> 65, GB> 2 D>@<C;5 (8);  EMBED Equation.2   4>?>;=8B5;L=K9 :>MDD8F85=B CA;>289 @01>BK;  EMBED Equation.2  = 0,4 4;O ?5AG0=KE 3@C=B>2 8  EMBED Equation.2  = 0,8 4;O ?K;520B>-3;8=8ABKE 3@C=B>2;  EMBED Equation.2   @0AG5B=>5 A>?@>B82;5=85 3@C=B0 ?>4 :>=A>;O<8, :0 (BA/<2), ?@8 ?>3@C65=88 8E 2 3@C=B =0 3;C18=C 0,5-1,0 <, ?@8=8<05<>5 ?> B01;. 22;  EMBED Equation.2   ?;>I04L ?@>5:F88 :>=A>;59 =0 3>@87>=B0;L=CN ?;>A:>ABL, <2. 13.6. 5ACICN A?>A>1=>ABL A209 B02@>2>3> 8 42CB02@>2>3> A5G5=89 ?@8 459AB288 25@B8:0;L=>9 A>AB02;ONI59 =03@C7:8 A;54C5B >?@545;OBL ?> D>@<C;5 (8), ?@8=8<0O 2 =59 7=0G5=8O fi =0 1>:>2>9 ?>25@E=>AB8 ?>;:8 8 AB5=:8 ?> B01;. 21. @8<5G0=85. @8 @0AG5B5 =5ACI59 A?>A>1=>AB8 A209 B02@>2>3> 8 42CB02@>2>3> A5G5=89, 8A?>;L7C5<KE 4;O 740=89 A :0@:0A>< 87 B@5EH0@=8@=KE @0<, 4>?CA:05BAO CG8BK20BL 2;8O=85 3>@87>=B0;L=>9 A>AB02;ONI59 @0A?>@0 =0 @0AG5B=K5 A>?@>B82;5=8O =0 1>:>2>9 ?>25@E=>AB8 A209. 13.7. ;O A209=KE DC=40<5=B>2 8 A209-:>;>== >4=>MB06=KE A5;LA:8E 740=89 =5>1E>48<> ?@>872>48BL ?@>25@:C CAB>9G82>AB8 DC=40<5=B>2 ?@8 459AB288 A8; <>@>7=>3> ?CG5=8O 3@C=B>2. 13.8. 0AG5B=K5 E0@0:B5@8AB8:8 3@C=B>2 ?@8 >?@545;5=88 =5ACI59 A?>A>1=>AB8 A209 ?> ??.13.3-13.6 A;54C5B ?@8=8<0BL 4;O =081>;55 =51;03>?@8OB=>3> A;CG0O 8E A57>==>3> 87<5=5=8O 2 ?@>F5AA5 AB@>8B5;LAB20 8 M:A?;C0B0F88 740=8O.   1 5:><5=4C5<>5 !'" !  !!" !"  ",   ", !  " 1. @8 @0AG5B5 A209 =0 A>2<5AB=>5 459AB285 25@B8:0;L=>9 8 3>@87>=B0;L=>9 A8; 8 <><5=B0 2 A>>B25BAB288 A> AE5<>9, ?@82545==>9 =0 G5@B565, A;54C5B @07;8G0BL 425 AB0488 =0?@O65==>-45D>@<8@>20==>3> A>AB>O=8O A8AB5<K «A20O  3@C=B».  !E5<0 =03@C7>: =0 A20N  ?5@2>9 AB0488 3@C=B, >:@C60NI89 A20N, @0AA<0B@8205BAO :0: C?@C30O ;8=59=>-45D>@<8@C5<0O A@540, E0@0:B5@87C5<0O :>MDD8F85=B>< ?>AB5;8 Az, :/<3 (BA/<3). 0AG5B=K5 7=0G5=8O :>MDD8F85=B0 ?>AB5;8 Az 3@C=B0 =0 1>:>2>9 ?>25@E=>AB8 A208 4>?CA:05BAO >?@545;OBL ?> D>@<C;5  EMBED Equation.2  (1) 345   :>MDD8F85=B ?@>?>@F8>=0;L=>AB8, :/<4 (Bc/<4), ?@8=8<05<K9 2 7028A8<>AB8 >B 2840 3@C=B0, >:@C60NI53> A20N, ?> B01;. 1; z  3;C18=0 @0A?>;>65=8O A5G5=8O A208 2 3@C=B5, <, 4;O :>B>@>9 >?@545;O5BAO :>MDD8F85=B ?>AB5;8, ?> >B=>H5=8N : ?>25@E=>AB8 3@C=B0 ?@8 2KA>:>< @>AB25@:5 8;8 : ?>4>H25 @>AB25@:0 ?@8 =87:>< @>AB25@:5; (A  :>MDD8F85=B CA;>289 @01>BK. > 2B>@>9 AB0488 2 25@E=59 G0AB8 3@C=B0, >:@C60NI53> A20N, >1@07C5BAO 7>=0 ?@545;L=>3> @02=>25A8O (?;0AB8G5A:0O 7>=0), E0@0:B5@87C5<0O ?@>G=>AB=K< :>MDD8F85=B>< ?@>?>@F8>=0;L=>AB8 0. 0AG5B A209 2 A;CG05 <=>3>@O4=>3> 8E @0A?>;>65=8O 2 DC=40<5=B5 A @>AB25@:><, >?8@0NI8<AO =0 3@C=B, ?@8 >BACBAB288 A59A<8G5A:8E 2>7459AB289 4>?CA:05BAO ?@>872>48BL A CG5B>< 2>7<>6=>AB8 ?>A;54>20B5;L=>3> @0728B8O ?5@2>9 8 2B>@>9 AB0489, =0?@O65==>-45D>@<8@>20==>3> A>AB>O=8O 3@C=B0.  MB>< A;CG05 ?@>872>48BAO 42CEAB0489=K9 @0AG5B A209, 0 :>MDD8F85=B CA;>289 @01>BK (A 2 D>@<C;5 (1) ?@8=8<05BAO (A = 1. > 2A5E >AB0;L=KE A;CG0OE A;54C5B ?@>872>48BL >4=>AB0489=K9 @0AG5B A209 ?@8<5=8B5;L=> : CA;>28O< 2>7<>6=>3> @0728B8O B>;L:> ?5@2>9 AB0488 =0?@O65==>-45D>@<8@>20==>3> A>AB>O=8O A8AB5<K «A20O  3@C=B», ?@8=8<0O :>MDD8F85=B CA;>289 @01>BK (A 2 D>@<C;5 (1) @02=K< 3. 2. 0AG5B A209 =0 A>2<5AB=>5 459AB285 25@B8:0;L=>9 8 3>@87>=B0;L=>9 A8; 8 <><5=B0 4>;65= 2:;NG0BL: 0) @0AG5B =5ACI59 A?>A>1=>AB8 A209 2 A;CG05 2>7<>6=>AB8 @0728B8O 2B>@>9 AB0488 =0?@O65==>-45D>@<8@>20==>3> A>AB>O=8O 3@C=B0 2 A>>B25BAB288 A CA;>285<  EMBED Equation.2  (2) 345   @0AG5B=>5 7=0G5=85 ?>?5@5G=>9 A8;K, : (BA), 459AB2CNI59 =0 >4=C A20N; Fd  =5ACI0O A?>A>1=>ABL A208, >?@545;O5<0O 2 A>>B25BAB288 A B@51>20=8O<8 ?.10; (k  :>MDD8F85=B =0456=>AB8, ?@8=8<05<K9 @02=K< 1,4; 1) ?@>25@:C CAB>9G82>AB8 3@C=B0, A>3;0A=> ?.13, 2 A;CG05, :>340 @0AG5B 2545BAO A 4>?CI5=85< @0728B8O B>;L:> ?5@2>9 AB0488 =0?@O65==>-45D>@<8@>20==>3> A>AB>O=8O 3@C=B0; 2) @0AG5B A209 ?> 45D>@<0F8O<, 2:;NG0NI89 ?@>25@:C A>1;N45=8O CA;>289 4>?CAB8<>AB8 @0AG5B=KE 7=0G5=89 3>@87>=B0;L=>3> ?5@5<5I5=8O 3>;>2K A208 8p 8 C3;0 55 ?>2>@>B0 (p: u@ ( uu (3) (p ( (u (4) 345 u@, (p  @0AG5B=K5 7=0G5=8O A>>B25BAB25==> 3>@87>=B0;L=>3> ?5@5<5I5=8O 3>;>2K A208, <, 8 C3;0 55 ?>2>@>B0, @04, >?@545;O5<K5 A>3;0A=> C:070=8O< ?.5; "01;8F0 1 @C=BK, >:@C60NI85 A208, 8 8E E0@0:B5@8AB8:8>MDD8F85=B ?@>?>@F8>=0;L=>AB8 , :/<4 (BA/<4)@>G=>AB=K9 :>MDD8F85=B ?@>?>@F8>=0;L=>AB8 a, :/<3 (BA/<3)5A:8 :@C?=K5 (0,55 ( 5 ( 0,7); 3;8=K 8 AC3;8=:8 B25@4K5 (IL < 0) 18 000-30 000 (1800-3000) 71-92 (7,1-9,2) 5A:8 <5;:85 (0,6 ( 5 ( 0,75); ?5A:8 A@54=59 :@C?=>AB8 (0,55 ( 5 ( 0,7), AC?5A8 B25@4K5 (IL < 0); 3;8=K 8 AC3;8=:8 BC3>?;0AB8G=K5 8 ?>;CB25@4K5 (0 ( IL ( 0,75)12 000-18 000 (1200-1800)60-71 (6,0-7,1)5A:8 ?K;520BK5 (0,6 ( e ( 0,8); AC?5A8 ?;0AB8G=K5 (0 ( IL ( 0,75): 3;8=K 8 AC3;8=:8 <O3:>?;0AB8G=K5 (0,5 ( IL ( 0,75)7000-12 000 (700-1200)44-60 (4,4-6,0);8=K 8 AC3;8=:8 B5:CG5?;0AB8G=K5 (0,75 ( il ( 1)4000-7000 (400  700)26-44 (2,6-4,4)5A:8 3@025;8ABK5 (0,55 ( 5 ( 0,7); :@C?=>>1;><>G=K5 3@C=BK A ?5AG0=K< 70?>;=8B5;5<50 000-100000 (5000-10 000)100-120(10-12)@8<5G0=8O: 1. 5=LH85 7=0G5=8O :>MDD8F85=B0 A>>B25BAB2CNB 1>;55 2KA>:8< 7=0G5=8O< ?>:070B5;O B5:CG5AB8 IL 3;8=8ABKE 8 :>MDD8F85=B>2 ?>@8AB>AB8 5 ?5AG0=KE 3@C=B>2, C:070==K< 2 A:>1:0E, 0 1>;LH85 7=0G5=8O :>MDD8F85=B0   A>>B25BAB25==> 1>;55 =87:8< 7=0G5=8O< IL 8 5. ;O 3@C=B>2 A ?@><56CB>G=K<8 7=0G5=8O<8 E0@0:B5@8AB8: IL 8 5 7=0G5=8O :>MDD8F85=B0 >?@545;ONBAO 8=B5@?>;OF859. 2. >MDD8F85=B  4;O ?;>B=KE ?5A:>2 4>;65= ?@8=8<0BLAO =0 30% 2KH5, G5< =081>;LH85 7=0G5=8O C:070==KE 2 B01;. 1 :>MDD8F85=B>2  4;O 7040==>3> 2840 3@C=B0.8u, (u  ?@545;L=K5 7=0G5=8O A>>B25BAB25==> 3>@87>=B0;L=>3> ?5@5<5I5=8O 3>;>2K A208, <, 8 C3;0 55 ?>2>@>B0, @04, CAB0=02;8205<K5 2 7040=88 =0 ?@>5:B8@>20=85 740=8O 8;8 A>>@C65=8O; 3) ?@>25@:C A5G5=89 A209 ?> A>?@>B82;5=8N <0B5@80;0 ?> ?@545;L=K< A>AB>O=8O< ?5@2>9 8 2B>@>9 3@C?? (?> ?@>G=>AB8, ?> >1@07>20=8N 8 @0A:@KB8N B@5I8=) =0 A>2<5AB=>5 459AB285 @0AG5B=KE CA8;89  25@B8:0;L=>9 A8;K, 873810NI53> <><5=B0 8 ?>?5@5G=>9 A8;K; C:070==K9 @0AG5B 2K?>;=O5BAO 2 7028A8<>AB8 >B <0B5@80;0 A208 A>3;0A=> B@51>20=8O< ?.3.6; @0AG5B=K5 7=0G5=8O 873810NI8E <><5=B>2 8 ?>?5@5G=KE A8;, 459AB2CNI8E 2 @07;8G=KE A5G5=8OE A208, 4>;6=K >?@545;OBLAO A>3;0A=> B@51>20=8O< ??.8 8 9 2 A;CG05 2>7<>6=>AB8 4>?CI5=8O @0728B8O 2B>@>9 AB0488 =0?@O65==>-45D>@<8@>20==>3> A>AB>O=8O 3@C=B0, 0 2 >AB0;L=KE A;CG0OE  A>3;0A=> B@51>20=8O< ??.14 8 15. 3. @8 @0AG5B5 A 4>?CI5=85< @0728B8O 2B>@>9 AB0488 =0?@O65==>-45D>@<8@C5<>3> A>AB>O=8O 3@C=B0 70 ?@545;L=>5 A>AB>O=85 A8AB5<K «A20O  3@C=B» ?@8=8<05BAO >1@07>20=85 =0 3;C18=5 zz (2 ?@545;0E 8;8 =0 3@0=8F5 ?;0AB8G5A:>9 7>=K) ?;0AB8G5A:>3> H0@=8@0, 2 :>B>@>< 2>7=8:05B <><5=B u, :(<(BA(<), @02=K9 ?@545;L=><C 873810NI5<C <><5=BC, 2>A?@8=8<05<><C ?>?5@5G=K< A5G5=85< A208.  A;CG05 7045;:8 A208 2 @>AB25@: ?>A;54>20B5;L=> >1@07CNBAO 420 ?;0AB8G5A:8E H0@=8@0: ?5@2K9  2 <5AB5 7045;:8 A208 2 @>AB25@:, 2B>@>9  2 ?@545;0E 8;8 =0 3@0=8F5 ?;0AB8G5A:>9 7>=K. 0 ?@545;L=>5 A>AB>O=85 A8AB5<K ?@8=8<05BAO <><5=B >1@07>20=8O 2B>@>3> ?;0AB8G5A:>3> H0@=8@0. 4. 0AG5B A209 ?> ?@545;L=K< A>AB>O=8O< 42CE 3@C?? 2K?>;=O5BAO A 8A?>;L7>20=85< A;54CNI8E ?0@0<5B@>2: ?@82545==>9 3;C18=K @0A?>;>65=8O A5G5=8O A208 2 3@C=B5  EMBED Equation.2 , ?@82545==>9 3;C18=K ?>3@C65=8O A208 2 3@C=B  EMBED Equation.2 , 0 2 A;CG05 CG5B0 2>7<>6=>AB8 @0728B8O 2B>@>9 AB0488 =0?@O65==>-45D>@<8@>20==>3> A>AB>O=8O 3@C=B0, :@><5 B>3>, ?@82545==>9 3;C18=K ?;0AB8G5A:>9 7>=K  EMBED Equation.2 , ?@82545==KE @0AG5B=KE 7=0G5=89 ?>?5@5G=>9 A8;K  EMBED Equation.2  8 873810NI53> <><5=B0  EMBED Equation.2 , 459AB2CNI8E A> AB>@>=K @>AB25@:0 =0 3>;>2C A208, ?@82545==>3> 7=0G5=8O 3@0=8G=>9 ?>?5@5G=>9 A8;K  EMBED Equation.2 , A>>B25BAB2CNI53> 3@0=8F5 C?@C3>9 @01>BK A8AB5<K «A20O  3@C=B» ?@8  EMBED Equation.2  = 0, ?@82545==KE 7=0G5=89 3@0=8G=>3> 3>@87>=B0;L=>3> ?5@5<5I5=8O  EMBED Equation.2  8 3@0=8G=>3> C3;0 ?>2>@>B0  EMBED Equation.2 ?@8 =87:>< @>AB25@:5 2 C@>2=5 53> ?>4>H2K ?@8  EMBED Equation.2 , = 0, ?@82545==KE 7=0G5=89 ?5@5<5I5=89  EMBED Equation.2  8 C3;0 ?>2>@>B0  EMBED Equation.2  A208, :>B>@K5 >?@545;ONBAO ?> D>@<C;0<:  EMBED Equation.2  = za( (5)  EMBED Equation.2  = zia( (6)  EMBED Equation.2  = la( (7)  EMBED Equation.2  (8)  EMBED Equation.2  (9)  EMBED Equation.2  (10) 345 z, zi, l  459AB28B5;L=0O 3;C18=0 @0A?>;>65=8O A5G5=8O A208 2 3@C=B5, 459AB28B5;L=0O 3;C18=0 ?;0AB8G5A:>9 7>=K 8 459AB28B5;L=0O 3;C18=0 ?>3@C65=8O A208 (55 =86=53> :>=F0) 2 3@C=B, <; ((  :>MDD8F85=B 45D>@<0F88, 1/<, >?@545;O5<K9 ?> D>@<C;5  EMBED Equation.2  (11) 345   B> 65, GB> 2 D>@<C;5 (1);   <>4C;L C?@C3>AB8 <0B5@80;0 A208, :0(BA/<2); I  <><5=B 8=5@F88 ?>?5@5G=>3> A5G5=8O A208, <4; bp  CA;>2=0O H8@8=0 A208, <, ?@8=8<05<0O @02=>9: 4;O A209 A 480<5B@>< AB2>;>2 0,8 < 8 1>;55 bp = d+1, 0 4;O >AB0;L=KE @07<5@>2 A5G5=89 A209 bp = 1,5d+ 0,5, <; (c  :>MDD8F85=B CA;>289 @01>BK, ?@8=8<05<K9 A>3;0A=> ?. 1; d  =0@C6=K9 480<5B@ :@C3;>3> 8;8 AB>@>=0 :204@0B=>3>, 8;8 AB>@>=0 ?@O<>C3>;L=>3> A5G5=8O A209 2 ?;>A:>AB8, ?5@?5=48:C;O@=>9 459AB28N =03@C7:8, <; 0  ?@>G=>AB=K9 :>MDD8F85=B ?@>?>@F8>=0;L=>AB8, :/<3 (BA/<3), >?@545;O5<K9 ?> B01;. 1: 7=0G5=8O  EMBED Equation.2  8 >?@545;ONBAO ?> B01;. 2 8 3 ?@8  EMBED Equation.2 =0. 5. 0AG5B=K5 7=0G5=8O 3>@87>=B0;L=>3> ?5@5<5I5=8O A208 2 C@>2=5 ?>4>H2K @>AB25@:0 8p, <, 8 C3>; 55 ?>2>@>B0 (p, @04, A;54C5B >?@545;OBL ?> D>@<C;0<:  EMBED Equation.2 ; (12)  EMBED Equation.2 ; (13) 345 ,  @0AG5B=K5 7=0G5=8O ?>?5@5G=>9 A8;K, : (BA), 8 873810NI53> <><5=B0, :(< (BA(<), 459AB2CNI85 =0 3>;>2C A208 (A<. G5@B56); l0  4;8=0 CG0AB:0 A208, <, @02=0O @0AAB>O=8N >B ?>4>H2K @>AB25@:0 4> ?>25@E=>AB8 3@C=B0; E, I  B> 65, GB> 2 D>@<C;5 (11); u0, (0,  3>@87>=B0;L=>5 ?5@5<5I5=85, <, 8 C3>; ?>2>@>B0 ?>?5@5G=>3> A5G5=8O A208, @04, 2 C@>2=5 ?>25@E=>AB8 3@C=B0 ?@8 2KA>:>< @>AB25@:5, 0 ?@8 =87:>< @>AB25@:5  2 C@>2=5 53> ?>4>H2K, >?@545;O5<K5 ?> C:070=8O< ?. 7 ?@8 42CEAB0489=>< @0AG5B5 8 ?> C:070=8O< ?. 12 ?@8 >4=>AB0489=>< @0AG5B5 A209. @8<5G0=85.  =0AB>OI5< ?@8;>65=88 AG8B0NBAO ?>;>68B5;L=K<8: <><5=B 8 3>@87>=B0;L=0O A8;0, ?@8;>65==K5 : 3>;>25 A208, 5A;8 <><5=B 8 A8;0 =0?@02;5=K A>>B25BAB25==> ?> G0A>2>9 AB@5;:5 8 2?@02>; 873810NI89 <><5=B 8 ?>?5@5G=0O A8;0 2 A5G5=88 A208, 5A;8 <><5=B 8 A8;0, ?5@540NI85AO >B 25@E=59 CA;>2=> >BA5G5==>9 G0AB8 A208 =0 =86=NN, =0?@02;5=K A>>B25BAB25==> ?> G0A>2>9 AB@5;:5 8 2?@02>; 3>@87>=B0;L=>5 A<5I5=85 A5G5=8O A208 8 53> ?>2>@>B, 5A;8 >=8 =0?@02;5=K A>>B25BAB25==> 2?@02> 8 ?> G0A>2>9 AB@5;:5. 6. >@87>=B0;L=0O A8;0 , : (BA), A>>B25BAB2CNI0O 3@0=8F5 C?@C3>9 @01>BK A8AB5<K «A20O  3@C=B», ?@8 42CEAB0489=>< @0AG5B5 >?@545;ONBAO ?> D>@<C;5  EMBED Equation.2 ; (14) 7. >@87>=B0;L=>5 ?5@5<5I5=85< u0 <, 8 C3>; ?>2>@>B0 (0, @04, ?@8 42CEAB0489=>< @0AG5B5 A;54C5B >?@545;OBL ?> D>@<C;0<: 0) ?@8  ( el  EMBED Equation.2  (15)  EMBED Equation.2  (16) 1) ?@8  > el  EMBED Equation.2  (17)  EMBED Equation.2  (18) 345   @0AG5B=>5 7=0G5=85 ?>?5@5G=>9 A8;K, : (BA), ?@8:;04K205<>9 : 3>;>25 A208; Hel  3@0=8G=>5 7=0G5=85 ?>?5@5G=>9 A8;K, >?@545;O5<>9 ?> D>@<C;5 (14), 345  EMBED Equation.2 >?@545;O5BAO ?> B01;. 2 8 3 2 7028A8<>AB8 >B 7=0G5=8O  EMBED Equation.2  ?@8 zi = 0;  EMBED Equation.2 ,  EMBED Equation.2   >?@545;ONBAO ?> B01;. 2 8 3 2 7028A8<>AB8 >B 7=0G5=8O A8;K  EMBED Equation.2 , @0AAG8BK205<>9 ?> D>@<C;5 (8). @8<5G0=85. @8 ?@82545==>9 4;8=5 A208  EMBED Equation.2  < 2,6 A;54C5B ?>;L7>20BLAO B01;. 2 8 3 4;O  EMBED Equation.2  = 2,6, ?@8 MB>< 7=0G5=85 4>?CA:05<>3> ?5@5<5I5=8O A208 2 C@>2=5 ?>25@E=>AB8 3@C=B0 =5 4>;6=> ?@52KH0BL 2 A<. 8. 0AG5B=K9 873810NI89 <><5=B z :(< (Bc(<), ?>?5@5G=CN A8;C z : (BA), 459AB2CNI85 =0 3;C18=5 z 2 A5G5=88 A208, A;54C5B >?@545;OBL ?@8 4>?CI5=88 42CE AB0489 @01>BK A8AB5<K «A20O  3@C=B» 2 ?@545;0E C?@C3>9 7>=K 3@C=B0 ?> D>@<C;0<:  EMBED Equation.2  (19)  EMBED Equation.2 (20) 345  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  ?@82545==K5 7=0G5=8O D8:B82=KE =0G0;L=KE ?0@0<5B@>2, >?@545;O5<K5 2 7028A8<>AB8 >B 7=0G5=89  8 l ?> B01;. 2 8 3;  EMBED Equation.2   :>MDD8F85=BK, 7=0G5=8O :>B>@KE ?@8=8<0NBAO ?> B01;. 4 2 7028A8<>AB8 >B 3;C18=K  EMBED Equation.2 . "01;8F0 2 @82545==0O 4;8=0 CG0AB:00@0<5B@K 4;O @0AG5B0 A209 ?@8 H0@=8@=>< 8E A>?@O65=88 A @>AB25@:><A208  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2 2,60,316 0,388 0,478 0,578 0,682 0,7850,00 0,30 0,60 0,90 1,20 1,501,000 1,238 1,603 2,174 3,108 4,7720,642 0,802 1,032 1,377 1,904 2,7671,000 1,238 1,602 2,170 3,082 4,631-0,642 -0,801 -1,030 -1,359 -1,804 -2,3400,316 0,392 0,513 0,730 1,155 2,0860,000 0,000 -0,010 -0,067 -0,279 -0,9602,80,344 0,422 0,520 0,631 0,748 0,8640,00 0,30 0,60 0,90 1,20 1,501,000 1,236 1,594 2,142 2,997 4,3890,643 0,795 1,020 1,349 1,826 2,5411,000 1,236 1,593 2,139 2,973 4,266-0,643 -0,795 -1,018 -1,331 -1,734 -2,1680,344 0,426 0,555 0,778 1,191 2,0090,000 0,000 -0,010 -0,065 -0,260 -0,8403,00,366 0,450 0,556 0,678 0,808 0,9390,00 0,30 0,60 0,90 1,20 1,501,000 1,237 1,593 2,134 2,955 4,2160,644 0,797 1,022 1,347 1,806 2,4541,000 1,237 1,593 2,131 2,932 4,103-0,644 -0,797 -1,020 -1,329 -1,717 -2,1100,366 0,454 0,591 0,823 1,238 2,0070,000 0,000 -0,010 -0,064 -0,252 -0,7803,20,383 0,472 0,585 0,716 0,860 1,0080,00 0,30 0,60 0,90 1,20 1,501,000 1,238 1,598 2,141 2,956 4,1670,648 0,803 1,031 1,360 1,819 2,4461,000 1,238 1,598 2,138 2,932 4,056-0,648 -0,803 -1,029 -1,342 -1,730 -2,1140,383 0,475 0,619 0,862 1,287 2,0460,000 0,000 -0,010 -0,064 -0,250 -0,7553,40,395 0,487 0,606 0,746 0,903 1,0670,00 0,30 0,60 0,90 1,20 1,501,000 1,241 1,604 2,155 2,978 4,1830,653 0,810 1,043 1,379 1,848 2,4801,000 1,241 1,604 2.152 2,955 4,075-0,653 -0,810 -1,141 -1,361 -1,759 -2,1500,395 0,491 0,641 0,893 1,333 2,1020,000 0,000 -0,010 -0,065 -0,251 -0,7503,60,403 0,497 0,620 0,768 0,935 1,1150,00 0,30 0,60 0,90 1,20 1,501,0001,243 1,611 2,170 3,009 4,2330,6580,817 1,054 1,398 1,881 2,5311,000 1,243 1,611 2,167 2,985 4,124-0,658 -0,817 -1,052 -1,381 -1,791 -2,1990,403 0,501 0,656 0,916 1,370 2,1600,000 0,000 -0,010 -0,065 -0,254 -0,7573,80,407 0,503 0,629 0,782 0,967 1,1500,00 0,30 0,60 0,90 1,20 1,501,000 1,244 1,616 2,183 3,038 4,3210,661 0,823 1,064 1,415 1,910 2,5831,000 1,244 1,616 2,108 3,014 4,181-0,661 -0,823 -1,062 -1,397 -1,819 -2,2470,407 0,507 0,665 0,932 1,398 2,2110,000 0,000 -0,010 -0,066 -0,258 -0,7684,00,409 0,507 0,634 0,790 0,941 1,1740,00 0,30 0,60 0,90 1,20 1,501,000 1,245 1,620 2,193 3,061 4,3420,664 0,827 1,070 1,427 1,933 2,6261,000 1,245 1,620 2,189 3,037 4,231-0,664 -0,827 -1,068 -1,409 -1,841 -2,2850,409 0,510 0,670 0,941 1,417 2,2500,000 0,000 -0,010 -0,067 -0,260 -0,778"01;8F0 3 @82545==0O 4;8=0 CG0AB:00@0<5B@K 4;O @0AG5B0 A209 ?@8 8E 65AB:>9 7045;:5 2 @>AB25@:A208  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2  EMBED Equation.2 2,60,927 0,963 1,061 1,210 1,407 1,6560,00 0,30 0,60 0,90 1,20 1,501,000 1,039 1,158 1,374 1,733 2,337-0,943 -0,980 -1,089 -1,275 -1,552 -1,9601,000 1,039 1,158 1,372 1,718 2,2580,000 0,000 0,000 0,009 0,054 0,2340,927 0,964 1,074 1,281 1,644 2,314-0,943 -0,981 -1,094 -1,308 -1,700 -2,4712,80,947 0,984 1,083 1,232 1,425 1,6600,00 0,30 0,60 0,90 1,20 1,501,000 1,039 1,156 1,365 1,709 2,256-0,938 -0,975 -1,081 -1,260 -1,522 -1,8901,000 1,039 1,156 1,363 1,692 2,1830,000 0,000 0,000 0,008 0,052 0,2170,947 0,985 1,096 1,301 1,652 2,273-0,938 -0,975. -1,086 -1,292 -1,663 -2,3653,00,972 1,010 1,111 1,263 1,457 1,6870,00 0,30 0,60 0,90 1,20 1,501,000 1,039 1,155 1,361 1,690 2,202-0,940 -0,977 -1,083 -1,259 -1,512 -1,8561,000 1,039 1,155 1,359 1,676 2,1330,000 0,000 0,000 0,008 0,050 0,2040,972 1,011 1,124 1,331 1,678 2,268-0,940 -0,977 -1,087 -1,291 -1,649 -2,3043,20,998 1,036 1,141 1,298 1,496 1,7290,00 0,30 0,60 0,90 1,20 1,501,000 1,039 1,156 1,361 1,684 2,174-0,947 -0,984 -1,092 -1,269 -1,519 -1,8521,000 1,039 1,156 1,359 1,670 2,1080,000 0,000 0,000 0,008 0,049 0,1970,998 1,037 1,154 1,365 1,714 2,291-0,947 -0,984 -1,096 -1,300 -1,655 -2,2863,41,021 0,061 1,169 1,331 1,537 1,7770,00 0,30 0,60 0,90 1,20 1,501,000 1,040 1,157 1,363 1,685 2,168-0,957 -0,995 -1,105 -1,285 -1,538 -1,8701,000 1,040 1,574 1,361 1,672 2,1020,000 0,000 0,000 0,008 0,049 0,1941,021 1,062 1,182 1,398 1,755 2,333-0,957 -0,995 -1,109 -1,316 -1,673 -2,2983,61,040 1,081 1,192 1,360 1,574 1,8250,00 0,30 0,60 0,90 1,20 1,501,000 1,040 1,159 1,367 1,692 2,174-0,968 -1,007 -1,118 -1,303 -1,562 -1,9001,000 1,040 1,159 1,365 1,678 2,1090,000 0,000 0,000 0,008 0,049 0,1941,040 1,082 1,206 1,428 1,794 2,382-0,968 -1,007 -1,123 -1,334 -1,698 -2,3283,81,054 1,096 1,210 1,383 1,606 1,8670,00 0,30 0,60 0,90 1,20 1,501,000 1,040 1,160 1,371 1,700 2,188-0,977 -1,017 -1,131 -1,320 -1,586 -1,9331,000 1,040 1,160 1,369 1,6862,1220,000 0,000 0,000 0,008 0,050 0,1951,054 1,097 1,224 1,452 1,827 2,429-0,977 -1,017 -1,136 -1,352 -1,723 -2,3644,01,064 1.107 1,223 1,400 1,629 1,9010,00 0,30 0,60 0,90 1,20 1,501,000 1,041 1,162 1,375 1,708 2,203-0,982 -1,026 -1,142 -1,334 -1,606 -1,9641,000 1,041 1,162 1,373 1,694 2,1370,000 0,000 0,000 0,009 0,050 0,1971,064 1,108 1,237 1,470 1,853 2,469-0,985 -1,026 -1,146 -1,366 -1,775 -2,399> 2B>@>9 AB0488 @01>BK A208 @0AG5B=K9 873810NI89 <><5=B zi :(< (Bc(<), ?>?5@5G=CN A8;C zi, : (BA), 459AB2CNI85 =0 3;C18=5 zi 2 ?@545;0E ?;0AB8G5A:>9 7>=K 3@C=B0, A;54C5B >?@545;OBL ?> D>@<C;0<:  EMBED Equation.2  (21)  EMBED Equation.2  (22) 345 zi  3;C18=0 @0A?>;>65=8O A5G5=8O A208 2 3@C=B5, <, 2 ?@545;0E ?;0AB8G5A:>9 7>=K ?> >B=>H5=8N : ?>4>H25 =87:>3> @>AB25@:0. 9.  A;CG05 65AB:>9 7045;:8 A208 2 @>AB25@:, 5A;8 8A:;NG05BAO 2>7<>6=>ABL ?>2>@>B0 55 3>;>2K (=0?@8<5@, 2 65AB:89 @>AB25@: A 42C<O @O40<8 A209 8;8 1>;55, CAB0=>2;5==KE 2 =0?@02;5=88 459AB28O 3>@87>=B0;L=>9 A8;K), 2 D>@<C;5 (21 ) 2<5AB>  A;54C5B ?@8=8<0BL @0AG5B=K9 <><5=B 7045;:8 f, 459AB2CNI89 2 <5AB5 A>?@O65=8O A208 A @>AB25@:><. 0AG5B=K9 <><5=B 7045;:8 f :(< (Bc(<), >?@545;O5BAO ?> D>@<C;5  EMBED Equation.2  (23) 345  EMBED Equation.2   ?@82545==K9 <><5=B, >?@545;O5<K9 ?> B01;. 3 2 7028A8<>AB8 >B 7=0G5=89  EMBED Equation.2 . 10. 5ACI0O A?>A>1=>ABL A8AB5<K «A20O 3@C=B» ?@8 459AB288 3>@87>=B0;L=>9 A8;K >?@545;O5BAO ?> D>@<C;0<: 1) 4;O A208, =5 8<5NI59 65AB:>9 7045;:8 2 @>AB25@:,  EMBED Equation.2  (24) 345  EMBED Equation.2  @0AAB>O=85, <, >B ?>25@E=>AB8 3@C=B0 4> <5AB>?>;>65=8O ?;0AB8G5A:>3> H0@=8@0, :>B>@>5 >?@545;O5BAO 87 C@02=5=8O  EMBED Equation.2  (25) 745AL e  M:AF5=B@8A8B5B ?@8;>65=8O 2=5H=59 =03@C7:8 : A205, <;  EMBED Equation.2  ?@545;L=K9 873810NI89 <><5=B, 2>A?@8=8<05<K9 ?>?5@5G=K< A5G5=85< A208, A CG5B>< ?@>4>;L=>9 A8;K, :(< (Bc(<);  EMBED Equation.2  :>MDD8F85=B, @02=K9 548=8F5, :@><5 A;CG052 @0AG5B0 DC=40<5=B>2 @0A?>@=KE A>>@C65=89, 4;O :>B>@KE  EMBED Equation.2  = 0,7;  EMBED Equation.2   :>MDD8F85=B, CG8BK20NI89 4>;N ?>AB>O==>9 =03@C7:8 2 AC<<0@=>9 =03@C7:5, >?@545;O5<K9 ?> D>@<C;5  EMBED Equation.2  (26) 345  EMBED Equation.2   <><5=B >B 2=5H=8E ?>AB>O==KE =03@C7>: 2 A5G5=88 DC=40<5=B0 =0 C@>2=5 =86=8E :>=F>2 A209, :(< (Bc(<);  EMBED Equation.2   B> 65, >B 2=5H=8E 2@5<5==KE @0AG5B=KE =03@C7>:, :(< (Bc(<);  EMBED Equation.2   :>MDD8F85=B, ?@8=8<05<K9  EMBED Equation.2  = 2,5, 70 8A:;NG5=85< A;CG052 @0AG5B0: 0) >A>1> >B25BAB25==KE A>>@C65=89, 4;O :>B>@KE ?@8  EMBED Equation.2  ( 2,6 ?@8=8<05BAO  EMBED Equation.2  = 4 8 ?@8  EMBED Equation.2  ( 5 ?@8=8<05BAO  EMBED Equation.2  = 2,5; ?@8 ?@><56CB>G=KE 7=0G5=8OE  EMBED Equation.2  7=0G5=85  EMBED Equation.2  >?@545;O5BAO 8=B5@?>;OF859; 1) DC=40<5=B>2 A >4=>@O4=K< @0A?>;>65=85< A209 =0 2=5F5=B@5==> ?@8;>65==CN 25@B8:0;L=CN A68<0NICN =03@C7:C, 4;O :>B>@KE A;54C5B ?@8=8<0BL  EMBED Equation.2  = 4 =57028A8<> >B 7=0G5=8O  EMBED Equation.2 ; 2) 4;O A208, 8<5NI59 65AB:CN 7045;:C 2 =87:89 @>AB25@:, =5ACICN A?>A>1=>ABL Fd A;54C5B >?@545;OBL ?> D>@<C;5  EMBED Equation.2  (27) 11. @8 AB0B8G5A:>< @0AG5B5 A209 2 A>AB025 :CAB0, 5A;8 4>?CA:05BAO 2>7<>6=>ABL @0728B8O 2B>@>9 AB0488 =0?@O65==>-45D>@<8@>20==>3> A>AB>O=8O A8AB5<K «A20O  3@C=B», A;54C5B CG8BK20BL 8E 2708<>459AB285.  MB>< A;CG05 @0AG5B ?@>872>48BAO :0: 4;O >48=>G=>9 A208, => :>MDD8F85=BK ?@>?>@F8>=0;L=>AB8  8 0 C<=>60NBAO =0 ?>=860NI89 :>MDD8F85=B  EMBED Equation.2 , >?@545;O5<K9 ?> D>@<C;5  EMBED Equation.2  (28) 345 (A  :>MDD8F85=B, CG8BK20NI89 C?;>B=5=85 3@C=B0 ?@8 ?>3@C65=88 A209 8 ?@8=8<05<K9: (A = 1,2 4;O 70182=KE A209 A?;>H=>3> A5G5=8O 8 (A = 1 4;O >AB0;L=KE 284>2 A209; d  480<5B@ 8;8 AB>@>=0 ?>?5@5G=>3> A5G5=8O A208, <;  EMBED Equation.2 ; (29) xi, yi  :>>@48=0BK >A8 i-9 A208 2 ?;0=5, ?@8G5< 3>@87>=B0;L=0O =03@C7:0 ?@8;>65=0 2 =0?@02;5=88 >A8 E; Ej, Cj  B> 65, 4;O j-9 A208. @>872545=85  EMBED Equation.2  2 D>@<C;5 (28) @0A?@>AB@0=O5BAO B>;L:> =0 A208 :CAB0, =5?>A@54AB25==> ?@8<K:0NI85 : i-9 A205. "01;8F0 4 @82545==0O 3;C18=0 @0?>;>65=8O A5G5=8O A208 2 3@C=B5  EMBED Equation.2  >MDD8F85=BK11!1D133!3D344!4D40,0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1,1 1,2 1,3 1,4 1,5 1,6 1,7 1,8 1,9 2,0 2,2 2,4 2,6 2,8 3,0 3,5 4,01,000 1,000 1,000 1,000 1,000 1,000 0,999 0,999 0,997 0,995 0,992 0,987 0,979 0,969 0,955 0,937 0,913 0,882 0,843 0,795 0,735 0,575 0,347 0,033 -0,385 -0,928 -2,928 -5,8530,000 0,100 0,200 0,300 0,400 0,500 0,600 0,700 0,799 0,899 0,997 1,095 1,192 1,287 1,379 1,468 1,553 1,633 1,706 1,770 1,823 1,887 1,874 1,755 1,490 1,037 -1,272 -5,9410,000 0,005 0,020 0,045 0,080 0,125 0,180 0,245 0,320 0,405 0,499 0,604 0,718 0,841 0,974 1,115 1,264 1,421 1,584 1,752 1,924 2,272 2,609 2,907 3,128 3,225 2,463 -0,9270,000 0,000 0,001 0,005 0,011 0,021 0,036 0,057 0,085 0,121 0,167 0,222 0,288 0,365 0,456 0,560 0,678 0,812 0,961 1,126 1,308 1,720 2,195 2,724 3,288 3,858 4,980 4,5480,000 0,000 -0,001 -0,005 -0,011 -0,021 -0,036 -0,057 -0,085 -0,121 -0,167 -0,222 -0,287 -0,365 -0,455 -0,559 -0,676 -0,808 -0,956 -1,118 -1,295 -1,693 -2,141 -2,621 -3,103 -3,540 -3,919 -1,6140,000 0,000 0,000 -0,001 -0,002 -0,005 -0,011 -0,020 -0,034 -0,055 -0,083 -0,122 -0,173 -0,238 -0,319 -0,420 -0,543 -0,691 -0,867 -1,074 -1,314 -1,906 -2,663 -3,600 -4,718 -6,000 -9,544 -11,7311,000 1,000 1,000 1,000 1,000 0,999 0,998 0,996 0,992 0,985 0,975 0,960 0,938 0,907 0,866 0,811 0,739 0,646 0,530 0,385 0,207 -0,271 -0,949 -1,877 -3,108 -4,688 -10,340 -17,9190,000 0,100 0,200 0,300 0,400 0,500 0,600 0,699 0,799 0,897 0,994 1,090 1,183 1,273 1,358 1,437 1,507 1,566 1,612 1,640 1,646 1,575 1,352 0,917 0,197 -0,891 -5,854 -15,0760,000 -0,005 -0,020 -0,045 -0,080 -0,125 -0,180 -0,245 -0,320 -0,404 -0,499 -0,603 -0,716 -0,838 -0,967 -1,105 -1,248 -1,396 -1,547 -1,699 -1,848 -2,125 -2,339 -2,437 -2,346 -1,969 1,074 9,2440,000 0,000 -0,003 -0,009 -0,021 -0,042 -0,072 -0,114 -0,171 -0,243 -0,333 -0,443 -0,575 -0,730 -0,910 -1,116 -1,350 -1,613 -1,906 -2,227 -2,578 -5,360 -4,228 -5,140 -6,023 -6,765 -6,789 -0,3580,000 0,000 0,000 -0,001 -0,003 -0,008 -0,016 -0,030 -0,051 -0,082 -0,125 -0,183 -0,259 -0,356 -0,479 -0,630 -0,815 -1,036 -1,299 -1,608 -1,966 -2,849 -3,973 -5,355 -6,990 -8,840 -13,692 -15,6111,000 1,000 1,000 1,000 1,000 0,999 0,997 0,994 0,989 0,980 0,967 0,946 0,917 0,876 0,821 0,747 0,652 0,529 0,374 0,181 -0,057 -0,692 -1,592 -2,821 -4,445 -6,520 -13,826 -23,140"01;8F0 5 @82545==0O 3;C18=0 ?>3@C65=8O A208  @8 >?8@0=88 A208 =0 =5A:0;L=K9 3@C=B @8 >?8@0=88 A208 =0 A:0;C @8 7045;:5 A208 2 A:0;C EMBED Equation.2 A0B0C0A0B0C0A0B0C00,5 0,6 0,7 0,8 0,9 1,0 1,1 1,2 1,3 1,4 1,5 1,6 1,7 1,8 1,9 2,0 2,2 2,4 2,6 2,8 3,0 3,5 4,072,004 50,007 36,745 28,140 22,244 18,030 14,916 -12,552 10,717 9,266 8,101 7,154 6,375 5,730 5,190 4,737 4,032 3,526 3,163 2,905 2,727 2,502 2,441192,026 111,149 70,023 46,943 33,008 24,106 18,160 14,041 11,103 8,954 7,349 6,129 5,189 4,456 3,878 3,418 2,756 2,327 2,048 1,869 1,758 1,641 1,621576,243 278,069 150,278 88,279 55,307 36,486 25,123 17,944 13,235 10,050 7,838 6,268 5,133 4,299 3,679 3,213 2,591 2,227 2,013 1,889 1,818 1,757 1,75148,006 33,344 24,507 18,775 14,851 12,049 9,983 8,418 7,208 6,257 5,498 4,887 4,391 3,985 3,653 3,381 2,977 2,713 2,548 2,453 2,406 2,394 2,41996,037 55,609 35,059 23,533 16,582 12,149 9,196 7,159 5,713 4,664 3,889 3,308 2,868 2,533 2,277 2,081 1,819 1,673 1,600 1,572 1,568 1,597 1,618192,291 92,942 50,387 29,763 18,814 12,582 8,836 6,485 4,957 3,937 3,240 2,758 2,419 2,181 2,012 1,894 1,758 1,701 2,687 1,693 1,707 1,739 1,7500,042 0,072 0,114 0,170 0,241 0,329 0,434 0,556 0,695 0,849 1,014 1,186 1,361 1,532 1,693 1,841 2,080 2,240 2,330 2,371 2,385 2,389 2,4010,125 0,180 0,244 0,319 0,402 0,494 0,593 0,698 0,807 0,918 1,028 1,134 1,232 1,321 1,397 1,460 1,545 1,586 1,596 1,593 1,586 1,584 1,6000,500 0,600 0,699 0,798 0,896 0,992 1,086 1,176 1,262 1,342 1,415 1,480 1,535 1,581 1,617 1,644 1,675 1,685 1,687 1,687 1,691 1,711 1,73212. @8 >4=>AB0489=>< @0AG5B5 A209 3>@87>=B0;L=>5 ?5@5<5I5=85 u0, <, 8 C3>; ?>2>@>B0 (0, @04, A;54C5B >?@545;OBL ?> D>@<C;0<:  EMBED Equation.2 ; (30)  EMBED Equation.2 ; (31) 345 H0, M0  @0AG5B=K5 7=0G5=8O A>>B25BAB25==> ?>?5@5G=>9 A8;K, : (BA), 8 873810NI53> <><5=B0, :(< (Bc(<), 2 @0AA<0B@8205<>< A5G5=88 A208, ?@8=8<05<K5 @02=K<8 H0 = H 8 M0 = M + Hl0 [745AL H 8  B> 65, GB> 2 D>@<C;0E (12) 8 (13)]; (HH  3>@87>=B0;L=>5 ?5@5<5I5=85 A5G5=8O, </: (</Bc), >B 459AB28O A8;K H = 1, ?@8;>65==>9 2 C@>2=5 ?>25@E=>AB8 3@C=B0; (HM  3>@87>=B0;L=>5 ?5@5<5I5=85 A5G5=8O, 1/: (l/Bc), >B <><5=B0  = 1, 459AB2CNI53> 2 C@>2=5 ?>25@E=>AB8 3@C=B0; (MH  C3>; ?>2>@>B0 A5G5=8O, 1/: (1/Bc), >B A8;K  = 1; (MM  C3>; ?>2>@>B0 A5G5=8O, 1/(: <) [1/(BA(<)], >B <><5=B0 = 1. 5@5<5I5=8O (HH, (MH = (HM 8 (MM 2KG8A;ONBAO ?> D>@<C;0<: (HH =  EMBED Equation.2  (32) (MH = (HM =  EMBED Equation.2  (33) (MM =  EMBED Equation.2  (34) 345 ((, , I  B> 65, GB> 8 2 D>@<C;5 (11); A0, B0, C0  157@07<5@=K5 :>MDD8F85=BK, ?@8=8<05<K5 ?> B01;. 5 2 7028A8<>AB8 >B ?@82545==>9 3;C18=K ?>3@C65=8O A208 2 3@C=B, >?@545;O5<>9 ?> D>@<C;5 (7). @8 7=0G5=88  EMBED Equation.2 , A>>B25BAB2CNI5< ?@><56CB>G=><C 7=0G5=8N, C:070==><C 2 B01;. 5, 53> A;54C5B >:@C3;8BL 4> 1;8609H53> B01;8G=>3> 7=0G5=8O. 13. 0AG5B CAB>9G82>AB8 >A=>20=8O, >:@C60NI53> A20N, 4>;65= ?@>872>48BLAO ?> CA;>28N (35) >3@0=8G5=8O @0AG5B=>3> 402;5=8O  EMBED Equation.2 , >:07K205<>3> =0 3@C=B 1>:>2K<8 ?>25@E=>ABO<8 A209:  EMBED Equation.2 , (35) 345  EMBED Equation.2   @0AG5B=>5 402;5=85 =0 3@C=B, :0 (BA/<2), 1>:>2>9 ?>25@E=>AB8 A208, >?@545;O5<>5 ?> D>@<C;5 =0 A;54CNI8E 3;C18=0E z, <, >BAG8BK205<KE ?@8 2KA>:>< @>AB25@:5 >B ?>25@E=>AB8 3@C=B0, 0 ?@8 =87:>< @>AB25@:5  >B 53> ?>4>H2K [?@8 z ( 2,5  =0 42CE 3;C18=0E, A>>B25BAB2CNI8E z = l/3 8 z = l; ?@8  EMBED Equation.2  > 2,5  =0 3;C18=5 z = 0,85/((, 345 (( >?@545;O5BAO ?> D>@<C;5 (11)];  EMBED Equation.2  @0AG5B=K9 C45;L=K9 (>1J5<=K9) 25A 3@C=B0 =5=0@CH5==>9 AB@C:BC@K, :/<3 (BA/<3), >?@545;O5<K9 2 2>4>=0AKI5==KE 3@C=B0E A CG5B>< 2725H820=8O 2 2>45;  EMBED Equation.2   @0AG5B=K5 7=0G5=8O A>>B25BAB25==> C3;0 2=CB@5==53> B@5=8O 3@C=B0, 3@04, 8 C45;L=>3> AF5?;5=8O 3@C=B0, :0 (BA/<2), ?@8=8<05<K5 2 A>>B25BAB288 A C:070=8O<8 ?. 3.5;  EMBED Equation.2   :>MDD8F85=B, ?@8=8<05<K9 4;O 70182=KE A209 8 A209->1>;>G5:  EMBED Equation.2  = 0,6, 0 4;O 2A5E >AB0;L=KE 284>2 A209  EMBED Equation.2  = 0,3;  EMBED Equation.2   7=0G5=8O :>MDD8F85=B>2 B5 65, GB> 8 2 D>@<C;5 (24). @8<5G0=85. A;8 @0AG5B=K5 3>@87>=B0;L=K5 402;5=8O =0 3@C=B  EMBED Equation.2  =5 C4>2;5B2>@ONB CA;>28N (35), => ?@8 MB>< =5ACI0O A?>A>1=>ABL A209 ?> <0B5@80;C =54>8A?>;L7>20=0 8 ?5@5<5I5=8O A209 <5=LH5 ?@545;L=> 4>?CA:05<KE 7=0G5=89, B> ?@8 ?@82545==>9 3;C18=5 A209  EMBED Equation.2  > 2,5 @0AG5B A;54C5B ?>2B>@8BL, ?@8=O2 C<5=LH5==>5 7=0G5=85 :>MDD8F85=B0 ?@>?>@F8>=0;L=>AB8 . @8 =>2>< 7=0G5=88  =5>1E>48<> ?@>25@8BL ?@>G=>ABL A208 ?> <0B5@80;C, 55 ?5@5<5I5=8O, 0 B0:65 A>1;N45=85 CA;>28O (35). 14. 0AG5B=>5 402;5=85  EMBED Equation.2 , :0 (BA/<2), =0 3@C=B ?> :>=B0:BC A 1>:>2>9 ?>25@E=>ABLN A208, 2>7=8:0NI55 =0 3;C18=5 z, 0 B0:65 @0AG5B=K9 873810NI89 <><5=B z, :(< (Bc(<), ?>?5@5G=CN A8;C Hz : (BA), 8 ?@>4>;L=CN A8;C N, : (BA), 459AB2CNI85 =0 3;C18=5 z 2 A5G5=88 A208, ?@8 >4=>AB0489=>< @0AG5B5 A209 A;54C5B >?@545;OBL ?> D>@<C;0<:  EMBED Equation.2  (36)  EMBED Equation.2  (37)  EMBED Equation.2  (38)  EMBED Equation.2  (39) 345   :>MDD8F85=B ?@>?>@F8>=0;L=>AB8, >?@545;O5<K9 ?> B01;. 1; ((, , I,  B> 65, GB> 8 2 D>@<C;5 (11);  EMBED Equation.2   ?@82545==0O 3;C18=0, >?@545;O5<0O ?> D>@<C;5 (5) 2 7028A8<>AB8 >B 7=0G5=8O 459AB28B5;L=>9 3;C18=K z, 4;O :>B>@>9 >?@545;ONBAO 7=0G5=8O 402;5=8O  EMBED Equation.2 , <><5=B0 z 8 ?>?5@5G=>9 A8;K Hz; H0, M0, B> 65, GB> 8 2 ??. 5 8 12; l0, u0, (0 A1, A2  :>MDD8F85=BK, 7=0G5=8O :>B>@KE ?@8=8<0NBAO A4, B1, ?> B01;. 4; B2, B4, C1, C2, C4, D1, D2, D4 N  @0AG5B=0O >A520O =03@C7:0, : (BA), ?5@540205<0O =0 3>;>2C A208. 15. 0AG5B=K9 <><5=B 7045;:8 f, :(< (Bc(<), CG8BK205<K9 ?@8 >4=>AB0489=>< @0AG5B5 A209, 8<5NI8E 65AB:CN 7045;:C 2 @>AB25@:, :>B>@K9 >15A?5G8205BAO =52>7<>6=>ABLN ?>2>@>B0 3>;>2K A208, A;54C5B >?@545;OBL ?> D>@<C;5  EMBED Equation.2 ; (40) 345 2A5 1C:25==K5 >1>7=0G5=8O B5 65, GB> 8 2 ?@54K4CI8E D>@<C;0E. @8 MB>< 7=0: «<8=CA» >7=0G05B, GB> ?@8 3>@87>=B0;L=>9 A8;5 , =0?@02;5==>9 A;520 =0?@02>, =0 3>;>2C A208 A> AB>@>=K 7045;:8 ?5@5405BAO <><5=B, =0?@02;5==K9 ?@>B82 G0A>2>9 AB@5;:8.   2 5:><5=4C5<>5 !'" !#) !!!"  ,+% ! !  +%   i@ > 0,025 5ACICN A?>A>1=>ABL Fd : (:3A), ?8@0<840;L=KE A209 A =0:;>=>< 1>:>2KE 3@0=59 ip > 0,025 4>?CA:05BAO >?@545;OBL :0: AC<<C A8; @0AG5B=KE A>?@>B82;5=89 3@C=B0 >A=>20=8O =0 1>:>2>9 ?>25@E=>AB8 A208 8 ?>4 55 =86=8< :>=F>< ?> D>@<C;5  EMBED Equation.2 ; (1) 345 Ai  ?;>I04L 1>:>2>9 ?>25@E=>AB8 A208 2 ?@545;0E i-3> A;>O 3@C=B0, <2 (A<2);  EMBED Equation.2   C3>; :>=CA=>AB8 A208, 3@04;  EMBED Equation.2   @0AG5B=K5 7=0G5=8O C3;0 2=CB@5==53> B@5=8O, 3@04, 8 AF5?;5=8O, :0 (:3A/A<2), i-3> A;>O 3@C=B0; d  AB>@>=0 A5G5=8O =86=53> :>=F0 A208, <; n1, n2  :>MDD8F85=BK, 7=0G5=8O :>B>@KE ?@82545=K 2 B01;8F5. !>?@>B82;5=8O 3@C=B0 ?>4 >AB@85< A208 @i 8 =0 55 1>:>2>9 ?>25@E=>AB8 @(i, :0 (:3A/A<2), >?@545;ONBAO ?> D>@<C;5  EMBED Equation.2  (2) 345 Ei  <>4C;L 45D>@<0F88 3@C=B0 i-3o A;>O, :0 (:3A/A<2), >?@545;O5<K9 ?> @57C;LB0B0< ?@5AA8><5B@8G5A:8E 8A?KB0=89; vi  :>MDD8F85=B C0AA>=0 i-3> A;>O 3@C=B0, ?@8=8<05<K9 2 A>>B25BAB288 A B@51>20=8O<8 !8 2.02.01-83; (  :>MDD8F85=B, 7=0G5=8O :>B>@>3> ?@82545=K 2 B01;8F5. 02;5=8O 3@C=B0 @0,i, @p,i :0 (:3A/A<2), >?@545;ONBAO ?> D>@<C;0<: @0,i =  EMBED Equation.2  (3) @p,i =  EMBED Equation.2  (4) 345  EMBED Equation.2   C45;L=K9 25A 3@C=B0 i-3> A;>O, :/<3 (:3A/A<);. hi  A@54=OO 3;C18=0 @0A?>;>65=8O i-3> A;>O 3@C=B0, <. >MDD8F85=B#3>; 2=CB@5==53> B@5=8O 3@C=B0  EMBED Equation.2 , 3@04.481216202428323640n10,530,480,410,350,300,240,200,150,100,06n20,940,880,830,780,730,690,650,620,580,54 EMBED Equation.2 0,060,120,170,220,260,290,320,350,370,39@8<5G0=85. ;O ?@><56CB>G=KE 7=0G5=89 C3;0 2=CB@5==53> B@5=8O  EMBED Equation.2 , 7=0G5=8O :>MDD8F85=B>2 n1, n2 8  EMBED Equation.2  >?@545;ONBAO 8=B5@?>;OF859.   3 5:><5=4C5<>5   ! "'+% !+% $#" A04:0 s, < (A<), ;5=B>G=KE A209=KE DC=40<5=B>2 A >4=>- 8 42CE@O4=K< @0A?>;>65=85< A209 (?@8 @0AAB>O=88 <564C A20O<8 3 - 4 d >?@545;O5BAO ?> D>@<C;5  EMBED Equation.2  345 ?  ?>3>==0O =03@C7:0 =0 A209=K9 DC=40<5=B, :/< (:3A/A<), A CG5B>< 25A0 DC=40<5=B0 2 2845 <0AA820 3@C=B0 A> A20O<8, >3@0=8G5==>3>: A25@EC  ?>25@E=>ABLN ?;0=8@>2:8; A 1>:>2  25@B8:0;L=K<8 ?;>A:>ABO<8, ?@>E>4OI8<8 ?> =0@C6=K< 3@0=O< :@09=8E @O4>2 A209; A=87C  ?;>A:>ABLN, ?@>E>4OI59 G5@57 =86=85 :>=FK A209; , v  7=0G5=8O <>4C;O 45D>@<0F88, :0 (:3A/A<2), 8 :>MDD8F85=B0 C0AA>=0 3@C=B0 2 ?@545;0E A68<05<>9 B>;I8, >?@545;O5<K5 4;O C:070==>3> 2KH5 DC=40<5=B0 2 A>>B25BAB288 A B@51>20=8O<8 !8 2.02.01-83; (0  :>MDD8F85=B, ?@8=8<05<K9 ?> =><>3@0<<5 (A<. G5@B56) 2 7028A8<>AB8 >B :>MDD8F85=B0 C0AA>=0 v, ?@82545==>9 H8@8=K DC=40<5=B0  EMBED Equation.2  (345 b  H8@8=0 DC=40<5=B0, ?@8=8<05<0O ?> =0@C6=K< 3@0=O< :@09=8E @O4>2 A209; h  3;C18=0 ?>3@C65=8O A209) 8 ?@82545==>9 3;C18=K A68<05<>9 B>;I8 Hc/h (Hc  3;C18=0 A68<05<>9 B>;I8).  ><>3@0<<0 4;O >?@545;5=8O 7=0G5=89 (0 =0G5=8O :>MDD8F85=B0 (0 >?@545;ONBAO ?> =><>3@0<<5 A;54CNI8< >1@07><. 0 =><>3@0<<5 G5@57 B>G:C, A>>B25BAB2CNICN 2KG8A;5==><C 7=0G5=8N ?@82545==>9 3;C18=K A68<05<>9 B>;I8, ?@>2>48BAO ?@O<0O, ?0@0;;5;L=0O >A8 01AF8AA, 4> ?5@5A5G5=8O A ;8=859 ?@82545==>9 H8@8=K DC=40<5=B0  EMBED Equation.2  8 >?CA:05BAO ?5@?5=48:C;O@ 4> ;8=88 :>MDD8F85=B0 C0AA>=0 3@C=B0 v. 7 B>G:8 ?5@5A5G5=8O ?@>2>48BAO ;8=8O, ?0@0;;5;L=0O >A8 01AF8AA, 4> ?5@5A5G5=8O A >ALN >@48=0B, =0 :>B>@>9 ?@82545=K 7=0G5=8O :>MDD8F85=B0 (0.   4 5:><5=4C5<>5   ! ' ! 0AG5B >A04>: >48=>G=KE A209, ?@>@570NI8E A;>9 3@C=B0 A <>4C;5< A42830 GI, 0 (BA/<2), 8 :>MDD8F85=B>< C0AA>=0 v1, 8 >?8@0NI8EAO =0 3@C=B, @0AA<0B@8205<K9 :0: ;8=59=>-45D>@<8@C5<>5 ?>;C?@>AB@0=AB2>, E0@0:B5@87C5<>5 <>4C;5< A42830 G2 8 :>MDD8F85=B>< C0AA>=0 v2, 4>?CA:05BAO ?@>872>48BL ?@8 N ( Fd/(k 8 ?@8 CA;>288 l/d > 5, G1l/G2d > 1 (345 l/d > 5  4;8=0 A208, <, d 480<5B@ 8;8 AB>@>=0 ?>?5@5G=>3> A5G5=8O A208, <) ?> D>@<C;0<: 0) 4;O >48=>G=>9 A208 157 CH8@5=8O  EMBED Equation.2 ; (1) N  25@B8:0;L=0O =03@C7:0, ?5@540205<0O =0 A20N,  (BA); (  :>MDD8F85=B, >?@545;O5<K9 ?> D>@<C;5  EMBED Equation.2 , 745AL (' = 0,17 ln(kvG1l/G2d)  :>MDD8F85=B, A>>B25BAB2CNI89 01A>;NB=> 65AB:>9 A205 (50 = (); 0' = 0,17 ln(kv1l/d)  B>B 65 :>MDD8F85=B 4;O A;CG0O >4=>@>4=>3> >A=>20=8O A E0@0:B5@8AB8:0<8 G1 8 v1;  EMBED Equation.2  = EA/G1l2 >B=>A8B5;L=0O 65AB:>ABL A208; EA  65AB:>ABL AB2>;0 A208 =0 A60B85,  (BA); (1  ?0@0<5B@, >?@545;ONI89 C25;8G5=85 >A04:8 70 AG5B A60B8O AB2>;0 8 >?@545;O5<K9 ?> D>@<C;5  EMBED 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ÿÿÿÿÿÿÿÿÿÿÿÿc<CompObj*,ÿÿÿÿtfLô ƒX èèô ƒ  ÿÿÿ.1  À &ÿÿÿÿÀÿÿÿºÿÿÿ€ º & MathType ú"-|ê|R|H|ëû€þÌTimes New Roman CyrÌÝ- 2 8R 2 ÔR 2 î¢lg 2 `dÀû ÿÌTimes New Roman CyrÌÝ-ð 2 4cb 2 4°np 2 d9gp 2 Nùdp 2 dEfJû€þSymbol-ð 2 ¬=Ó 2 H+Ó 2 ©ƒæ“ 2 Bƒè“ 2 Ôƒç“ 2 ©Ô ö“ 2 BÔ ø“ 2 ÔÔ ÷“û ÿÌTimes New Roman CyrÌÝ-ð 2 4b,<û€þÌTimes New Roman CyrÌÝ-ð 2 Ì ,gû€þSymbol-ð 2 bgû€þÌTimes New Roman CyrÌÝ-ð 2 > 1À 2 " 5À & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qg×€LJ”J°J ƒR†=ƒR ƒc‚,ƒnObjInfoÿÿÿÿ-ÿÿÿÿvEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿwœ_952877353ÿÿÿÿÿÿÿÿ0ÀFÀ±°gØÉÀ±°gØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿz „g ƒg ƒl ƒd ƒd ƒf †+ˆ1‚,ˆ5–(–)LÀöÔÐèèÀö | ÿÿÿ.1  € &ÿÿÿÿÀÿÿÿ¸ÿÿÿà8 & MathTypeð ú"-êPIC /2ÿÿÿÿ{LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ}CompObj13ÿÿÿÿ‰fObjInfoÿÿÿÿ4ÿÿÿÿ‹‚ƒ„…†‡ˆþÿÿÿŠþÿÿÿþÿÿÿþÿÿÿþÿÿÿþÿÿÿ’“”•–—˜™š›œžþÿÿÿ þÿÿÿþÿÿÿ£¤þÿÿÿþÿÿÿ§þÿÿÿ©ª«¬­®¯°±²³´µ¶·¸¹º»¼½þÿÿÿ¿þÿÿÿþÿÿÿÂÃÄÅþÿÿÿþÿÿÿÈþÿÿÿÊËÌÍÎÏÐÑÒþÿÿÿÔþÿÿÿþÿÿÿ×þÿÿÿþÿÿÿÚþÿÿÿÜÝÞßàáâãäåæçèþÿÿÿêþÿÿÿþÿÿÿíîþÿÿÿþÿÿÿñþÿÿÿóôõö÷øùúûüýþþÿÿÿRû€þÌTimes New Roman CyrÌÝ- 2  8R 2 tRû ÿÌTimes New Roman CyrÌÝ-ð 2 Ôcb 2 Ô°np 2 9gpû€þSymbol-ð 2  ¬=Óû ÿÌTimes New Roman CyrÌÝ-ð 2 Ôb,<û€þÌTimes New Roman CyrÌÝ-ð 2  r,gû€þSymbol-ð 2 ¤bg & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qg×DLJ”J°J ƒR†=ƒR ƒc‚,ƒn „g ƒg ‚,LØä@ ¤èèEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿŒ`_952877352Q7ÀFÀ±°gØÉÀ±°gØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿŽPIC 69ÿÿÿÿLØä ¼ ÿÿÿ.1   &ÿÿÿÿÀÿÿÿ»ÿÿÿÀ[ & MathTypepû€þÌTimes New Roman CyrÌÝ- 2 À8Fè 2 ÀÎRA 2 À f€ 2 ÀØhÀû ÿÌTimes New Roman CyrÌÝ-ð 2 dp 2 öcb 2 ºcRb¡ 2 Ù cfbJ 2 €i< 2 wMETA ÿÿÿÿÿÿÿÿÿÿÿÿ‘€CompObj8:ÿÿÿÿŸfObjInfoÿÿÿÿ;ÿÿÿÿ¡Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ¢´i<û€þSymbol-ð 2 À=Ó 2 À/ +ÓûÀýSymbol-ð 2 öU å›û€þSymbol-ð 2 À'g 2 Àëg 2 À] mÜ 2 À gû€þÌTimes New Roman CyrÌÝ-ð 2 Àp(€ 2 ÀÕ),€g & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qgטLJ”J°J ƒF ƒd †=„g ƒc ‚(„g ƒcƒR ƒRƒA†+„m„g ƒcƒf ƒf ƒi ƒh ƒi ‚)‚,  †åöüL[•`èè_952877351ÿÿÿÿÿÿÿÿ>ÀFÀ±°gØÉÀ"³gØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ¥PIC =@ÿÿÿÿ¦LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ¨\[• © ÿÿÿ.1  @&ÿÿÿÿÀÿÿÿ´ÿÿÿÀô & MathTypeû;ýàSymbol-2 GG (û;ýàSymbol-ð2 G|)ûÐüáSymbol-ð2 pg[ûÐüáSymbol-ð2 pø]û€þÌTimes New Roman CyrÌÝ-ð 2 8Fè 2 ïRA 2 F hÀ 2 Ð uÀ 2  f€ 2 nuÀ 2 ig 2 ùEÿ 2 QkËû ÿÌTimes New Roman CyrÌÝ-ð 2 €dp 2 €öcb 2 €å i< 2 €| i< 2 €“ i< 2 €Èi< 2 €‰pp 2 €ùi< 2 €i< 2 €õrVû€þSymbol-ð 2 =Ó 2 P+Ó 2 H+ÓûÀýSymbol-ð 2 Vvå›û€þSymbol-ð 2 'g 2 Bz¾û ÿÌTimes New Roman CyrÌÝ-ð 2 €0p 2 €~,<û€þÌTimes New Roman CyrÌÝ-ð 2 T,g & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qCompObj?Aÿÿÿÿ¾fObjInfoÿÿÿÿBÿÿÿÿÀEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿÁ_952877350J<EÀFÀ"³gØÉÀ"³gØÉµ×ìLJ”J°J ƒF ƒd †=„g ƒc ƒRƒA†+ƒh ƒi ƒu ƒi ƒf ƒi †+ƒu ˆ0‚,ƒi ƒi ƒp ƒE ƒi ƒk ƒi „z ƒr –(–)  †å –[–]‚,L®äì¤èèOle ÿÿÿÿÿÿÿÿÿÿÿÿÆPIC DGÿÿÿÿÇLMETA ÿÿÿÿÿÿÿÿÿÿÿÿÉlCompObjFHÿÿÿÿÓf®ä 1 ÿÿÿ.1   à&ÿÿÿÿÀÿÿÿ»ÿÿÿ [ & MathTypepû€þSymbol- 2 À%g 2 ÀÓgû ÿÌTimes New Roman CyrÌÝ-ð 2 ôcb 2 ¢cfbJ 2 Ii< 2 @i<û€þÌTimes New Roman CyrÌÝ-ð 2 À`uÀ 2 ÀÒf€ 2 À¡hÀûÀýSymbol-ð 2 öå› & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q7×\LJ”J°J „g ƒc ƒu„g ƒcƒf ƒf ƒi ƒh ƒi †åObjInfoÿÿÿÿIÿÿÿÿÕEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿÖx_952877349ÿÿÿÿÿÿÿÿLÀFÀ"³gØÉÀ"³gØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿØLnä ¤èènä ¼ ÿÿÿ.1    &ÿÿÿÿÀÿÿÿ»ÿÿÿ`[ & MathTypepû€þÌTimes New Roman CyrÌÝ- 2 À4Fè 2 À½RA 2 ÀD uÀ 2 Àµf€ 2 À…hÀû ÿÌPIC KNÿÿÿÿÙLMETA ÿÿÿÿÿÿÿÿÿÿÿÿÛ€CompObjMOÿÿÿÿéfObjInfoÿÿÿÿPÿÿÿÿëTimes New Roman CyrÌÝ-ð 2 dp 2 ìcb 2 ­cRb¡ 2 ‚ cfbJ 2 -i< 2 !i<û€þSymbol-ð 2 Àý=Ó 2 À +ÓûÀýSymbol-ð 2 ö å›û€þSymbol-ð 2 À g 2 Àág 2 À¶ gû€þÌTimes New Roman CyrÌÝ-ð 2 Àf(€ 2 À),€g & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q7טXJ´J¬J ƒF ƒd †=„g ƒc ‚(„g ƒcƒR ƒRƒA†+ƒu„g ƒcƒf ƒf ƒi ƒh ƒi ‚)‚,  †åeEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿì´_952877347_CSÀFÀ"³gØÉÀ"³gØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿïPIC RUÿÿÿÿðLLÐ äD¤èèÐ ä  ÿÿÿ.1     &ÿÿÿÿÀÿÿÿ»ÿÿÿ` [ & MathTypepû€þÌTimes New Roman CyrÌÝ- 2 À8Fè 2 ÀÄuÀ 2 À6 f€ 2 À hÀû ÿÌTimes New Roman CyrÌÝ-ð 2 dupp 2 Xcb 2 META ÿÿÿÿÿÿÿÿÿÿÿÿò$CompObjTVÿÿÿÿÿfObjInfoÿÿÿÿWÿÿÿÿEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿ”cfbJ 2 ­ i< 2 ¤ i<û€þSymbol-ð 2 Àf=ÓûÀýSymbol-ð 2 ö‚å›û€þSymbol-ð 2 À‰g 2 À7gû€þÌTimes New Roman CyrÌÝ-ð 2 Àú ,g & ÿÿÿÿû¼Ì"SystemÌ-ðÿÿþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Eqþÿÿÿþÿÿÿþÿÿÿþÿÿÿþÿÿÿ     þÿÿÿþÿÿÿþÿÿÿþÿÿÿþÿÿÿþÿÿÿ !"#$%&'()*+,-./0123456þÿÿÿ8þÿÿÿþÿÿÿ;<=>þÿÿÿþÿÿÿAþÿÿÿCDEFGHIJKLMNOPþÿÿÿRþÿÿÿþÿÿÿUVþÿÿÿþÿÿÿYþÿÿÿ[\]^_`abcdefghijklmnopqþÿÿÿsþÿÿÿþÿÿÿvwxyþÿÿÿþÿÿÿ|þÿÿÿ~€uation Equation.2ô9²qØxLJ”J°J ƒF ƒdƒu †=„g ƒc ƒu„g ƒcƒf ƒf ƒi ƒh ƒi ‚,  †åL‹Øäèè_952877346ÿÿÿÿÿÿÿÿZÀFÀ"³gØÉÀ"³gØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿPIC Y\ÿÿÿÿLMETA ÿÿÿÿÿÿÿÿÿÿÿÿ8‹ — ÿÿÿ.1   À&ÿÿÿÿÀÿÿÿ¦ÿÿÿ€F & MathTypeð ú"-<ª<øû€þÌTimes New Roman CyrÌÝ- 2 À8Fè 2 †ÂFèû ÿÌTimes New Roman CyrÌÝ-ð 2 dp 2 öcb 2 æ’up 2 æ`pp 2 $ìgpû€þSymbol-ð 2 À=Óû€þSymbol-ð 2 À'g 2 Ägû ÿÌTimes New Roman CyrÌÝ-ð 2 æ,<û€þÌTimes New Roman CyrÌÝ-ð 2 À,g & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qCompObj[]ÿÿÿÿfObjInfoÿÿÿÿ^ÿÿÿÿEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿ|_952877345fXaÀFÀ"³gØÉÀ"³gØÉØ`LJ”J°J ƒF ƒd †=„g ƒc ƒF ƒu‚,ƒp „g ƒg ‚,LÉ”HèèÉ / ÿÿÿ.1  @ &ÿÿÿÿÀÿÿÿ½ÿÿÿàý & MathType ú"-œ4Ole ÿÿÿÿÿÿÿÿÿÿÿÿPIC `cÿÿÿÿLMETA ÿÿÿÿÿÿÿÿÿÿÿÿhCompObjbdÿÿÿÿ7fœÛœ¢ œ¿ œ¥œÕÃþô ú "-ô”;-”Ck¡k¡kõû€þÌTimes New Roman CyrÌÝ- 2 8Fè 2 AM| 2 ¨ EdÿÀ 2 $ As“ 2 Åm' 2 ”m' 2 «m' 2 $ðm' 2 $çm' 2 $þm'û ÿÌTimes New Roman CyrÌÝ-ð 2 €up 2 „ apû€þSymbol-ð 2 ö=Ó 2 t +Ó 2 ×` 2 Ž+Ó 2 }+Ó 2 $¹+Ó 2 $Ð+Ó 2 Q-Ó 2 ¦é“ 2 ×ë“ 2 ê“ 2 ˆê“ 2 ¦íù“ 2 ×íû“ 2 íú“ 2 ˆíú“û€þSymbol-ð 2 7hè 2 $¥ hè 2 «e¨û€þÌTimes New Roman CyrÌÝ-ð 2 $§2À 2 ‡1À 2 â 4À 2 F1Àû ÿÌTimes New Roman CyrÌÝ-ð 2 n½1p 2 bv2p 2 nž2p 2 nµ3p 2 „è1p 2 „ñ2p 2 „3pû€þÌTimes New Roman CyrÌÝ-ð 2 þ(€ 2 =)€ 2 u.g & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qØ LJ”J°J ƒF ƒu †=„hƒAƒMˆ2 ˆ1†+ˆ4ƒEƒd„hƒAƒs ƒa †×ƒm ˆ1 †+„e ˆ2 ‚(ƒm ˆ2 †+ƒm ˆ3 ‚)ƒm ˆ1 †+ƒm ˆ2 †+ƒm ˆ3 †-ˆ1–[–]‚.ObjInfoÿÿÿÿeÿÿÿÿ9Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ:(_952877344ÿÿÿÿÿÿÿÿhÀFÀ"³gØÉ°lµgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ?PIC gjÿÿÿÿ@LMETA ÿÿÿÿÿÿÿÿÿÿÿÿBCompObjikÿÿÿÿQfObjInfoÿÿÿÿlÿÿÿÿSL­ ¯0¨èè­ ¯ à ÿÿÿ.1  @€ &ÿÿÿÿÀÿÿÿ¾ÿÿÿ@ þ & MathTypeà ú"-ü4ü%ü ü¸ û€þÌTimes New Roman CyrÌÝ- 2 €8Fè 2 nÙs“ 2 nb s“ 2 „‚s“ 2 „ s“û ÿÌTimes New Roman CyrÌÝ-ð 2 àup 2 ÎUap 2 ÎÞ elb< 2 äþap 2 ä‡ elb<û€þSymbol-ð 2 €ö=Ó 2 €k×` 2 n4+Ó 2 „Ý+Ó 2 €þ ×`û€þÌTimes New Roman CyrÌÝ-ð 2 nÈ1À 2 „<2À 2 n2Àû€þSymbol-ð 2 „óQ & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qØŒLJ”J°J ƒF ƒu †=ˆ1ˆ2…Q†×ˆ2ƒs ƒa †+ƒs ƒeƒl ƒs ƒa †+ƒs ƒeƒl †×Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿT¨_952877343³5oÀF°lµgØÉ°lµgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿWPIC nqÿÿÿÿXLL³ƒp è賃 æ ÿÿÿ.1  €&ÿÿÿÿÀÿÿÿ®ÿÿÿ@® & MathType ú"-|Ã|7 | | èñ ú "-ùt`-thzÆzÆzrû€þÌTimes New Roman CyrÌÝ-META ÿÿÿÿÿÿÿÿÿÿÿÿZÔCompObjprÿÿÿÿrfObjInfoÿÿÿÿsÿÿÿÿtEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿu 2 ¨1À 2 îË8À 2 è2À 2 ¿1Àû ÿÌTimes New Roman CyrÌÝ-ð 2 X÷ 2p 2 NÙ4p 2 dK 4p 2 dm2pû€þSymbol-ð 2 •+Ó 2 î8+Ó 2 +Ó 2 } ×` 2 1+Ó 2 Î-Ó 2 µ@é“ 2 ˆ@ë“ 2 &@ê“ 2 µfù“ 2 ˆfû“ 2 &fú“û€þÌTimes New Roman CyrÌÝ-ð 2 î…EdÿÀ 2 îàs“ 2 îf s“ 2 ®s“ 2 4s“ 2 îË m' 2 = m' 2 _m'û ÿÌTimes New Roman CyrÌÝ-ð 2 NYap 2 Nß elb< 2 d'ap 2 d­elb<û€þÌTimes New Roman CyrÌÝ-ð 2 îJ(€ 2 îŸ )€ 2 j(€ 2 m )€ 2 ê.gû€þSymbol-ð 2 @Q & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ 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"#$%&(+E)*,.-/2013458679:;<=>?@ABCDFH]GIJKPLMNOQRSTUWVYX_Z[\^{`abdcehfgijklmnopqrstuvwxyz|}Ú~ƒ2 €"sèû ÿÌTimes New Roman CyrÌÝ-ð 2 àzb & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9ØLJ”J°J „s ƒzObjInfoÿÿÿÿÿÿÿÿe Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿf 4_952877189ÿÿÿÿÿÿÿÿ ÀF0êégØÉ0[ìgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿg PIC "ÿÿÿÿh LMETA ÿÿÿÿÿÿÿÿÿÿÿÿj XCompObj!#ÿÿÿÿp fObjInfoÿÿÿÿ$ÿÿÿÿr L`§Èðèè`§ § ÿÿÿ.1  €@&ÿÿÿÿÀÿÿÿìÿÿÿl & MathType ú"-XLXôû€þÌTimes New Roman CyrÌÝ- 2 @8z¨ & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9ØLJ”J°J 2ƒzLÊWTèèÊW ± ÿÿÿ.Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿs ,_952877188,'ÀF0[ìgØÉ0[ìgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿt PIC &)ÿÿÿÿu LMETA ÿÿÿÿÿÿÿÿÿÿÿÿw lCompObj(*ÿÿÿÿ} fObjInfoÿÿÿÿ+ÿÿÿÿ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ€ 41    &ÿÿÿÿÀÿÿÿ¬ÿÿÿ`Ì & MathTypePû€þSymbol- 2 €%gû ÿÌTimes New Roman CyrÌÝ-ð 2 àôIV & ÿÿÿÿû¼Ì"SystemÌ-ðiþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qþÿÿÿþÿÿÿƒ þÿÿÿ… † ‡ ˆ ‰ Š ‹ Œ þÿÿÿŽ þÿÿÿþÿÿÿ‘ þÿÿÿþÿÿÿ” þÿÿÿ– — ˜ ™ þÿÿÿ› þÿÿÿþÿÿÿþÿÿÿþÿÿÿ  þÿÿÿ¢ £ ¤ ¥ þÿÿÿ§ þÿÿÿþÿÿÿþÿÿÿþÿÿÿ¬ þÿÿÿ® ¯ ° ± þÿÿÿ³ þÿÿÿþÿÿÿþÿÿÿþÿÿÿ¸ þÿÿÿº » ¼ ½ ¾ ¿ À þÿÿÿ þÿÿÿþÿÿÿÅ þÿÿÿþÿÿÿÈ þÿÿÿÊ Ë Ì Í Î þÿÿÿÐ þÿÿÿþÿÿÿþÿÿÿþÿÿÿÕ þÿÿÿ× Ø Ù Ú Û þÿÿÿÝ þÿÿÿþÿÿÿþÿÿÿþÿÿÿâ þÿÿÿä å æ ç è þÿÿÿê þÿÿÿþÿÿÿþÿÿÿþÿÿÿï þÿÿÿñ ò ó ô õ ö ÷ ø ù ú û ü ý þ ÿ 9ØLJ”J°J „g ƒIL¸WTèè¸W   ÿÿÿ.1   `&ÿÿÿÿÀÿÿÿ¬ÿÿÿ Ì & MathTypePû€þSymbol- 2 € jèû ÿÌTimes New Roman CyrÌÝ_952877187ÿÿÿÿÿÿÿÿ.ÀF0[ìgØÉ0[ìgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ PIC -0ÿÿÿÿ‚ LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ„ -ð 2 àIV 2 à¡IVû€þÌTimes New Roman CyrÌÝ-ð 2 € c¨û€þÌTimes New Roman CyrÌÝ-ð 2 €…,g & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qCompObj/1ÿÿÿÿ fObjInfoÿÿÿÿ2ÿÿÿÿ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ H_952877185O5ÀF0[ìgØÉ0[ìgØÉ9Ø,LJ”J°J „j ƒI ‚,ƒc ƒIL`WÈTèè`W ‰ ÿÿÿ.1   @&ÿÿÿÿÀÿÿÿ¬ÿÿÿÌ & MathTypePû€þSymbol- Ole ÿÿÿÿÿÿÿÿÿÿÿÿ’ PIC 47ÿÿÿÿ“ LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ• CompObj68ÿÿÿÿš f2 €(x¾ & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9Ø LJ”J°J „xL`WÈTèèObjInfoÿÿÿÿ9ÿÿÿÿœ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ (_952877184ÿÿÿÿÿÿÿÿ<ÀF0[ìgØÉ0[ìgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿž PIC ;>ÿÿÿÿŸ LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ¡ CompObj=?ÿÿÿÿ¦ fObjInfoÿÿÿÿ@ÿÿÿÿ¨ `W ‰ ÿÿÿ.1   @&ÿÿÿÿÀÿÿÿ¬ÿÿÿÌ & MathTypePû€þSymbol- 2 €(x¾ & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9Ø LJ”J°J „xL`WÈTèè`W ‰ ÿÿÿ.1   @&ÿÿÿÿÀÿÿÿ¬ÿÿÿÌ & MathTypePû€þSymbol- Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ© (_952877183H:CÀF0[ìgØÉ ¥îgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿª PIC BEÿÿÿÿ« LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ­ CompObjDFÿÿÿÿ² fObjInfoÿÿÿÿGÿÿÿÿ´ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿµ (2 €(x¾ & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9Ø LJ”J°J „xLqWóTèè_952877182ÿÿÿÿÿÿÿÿJÀF ¥îgØÉ ¥îgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ¶ PIC ILÿÿÿÿ· LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ¹ àqW ë ÿÿÿ.1    &ÿÿÿÿÀÿÿÿ¬ÿÿÿàÌ & MathTypePû€þSymbol- 2 €#hè 2 €¶hèû ÿÌTimes New Roman CyrÌÝ-ð 2 àÑ1p 2 àv2pû€þÌTimes New Roman CyrÌÝ-ð 2 €C,g & ÿÿÿÿû¼Ì"SystemÌ-ðÿþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9Ø,LJ”J°J „h ˆ1 ‚,„h ˆ2LíWTèèCompObjKMÿÿÿÿÁ fObjInfoÿÿÿÿNÿÿÿÿà Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿÄ H_952877181]AQÀF ¥îgØÉ ¥îgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿÆ PIC PSÿÿÿÿÇ LMETA ÿÿÿÿÿÿÿÿÿÿÿÿÉ lCompObjRTÿÿÿÿÏ fíW ± ÿÿÿ.1   À&ÿÿÿÿÀÿÿÿ¬ÿÿÿ€Ì & MathTypePû€þSymbol- 2 €"sèû ÿÌTimes New Roman CyrÌÝ-ð 2 àzb & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9ØLJ”J°J „s ƒzL`§Èðèè`§ § ÿÿÿ.1  €@&ÿÿÿÿÀÿÿÿìÿÿÿlObjInfoÿÿÿÿUÿÿÿÿÑ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿÒ 4_952877180ÿÿÿÿÿÿÿÿXÀF ¥îgØÉ ¥îgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿÓ PIC WZÿÿÿÿÔ LMETA ÿÿÿÿÿÿÿÿÿÿÿÿÖ XCompObjY[ÿÿÿÿÜ fObjInfoÿÿÿÿ\ÿÿÿÿÞ  & MathType ú"-XLXôû€þÌTimes New Roman CyrÌÝ- 2 @8z¨ & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9ØLJ”J°J 2ƒzEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿß ,_952877179dV_ÀF ¥îgØÉ ¥îgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿà PIC ^aÿÿÿÿá LLíWTèèíW ± ÿÿÿ.1   À&ÿÿÿÿÀÿÿÿ¬ÿÿÿ€Ì & MathTypePû€þSymbol- 2 €"sèû ÿÌTimes New Roman CyrÌÝ-ð 2 àzb & ÿÿÿÿûMETA ÿÿÿÿÿÿÿÿÿÿÿÿã lCompObj`bÿÿÿÿé fObjInfoÿÿÿÿcÿÿÿÿë Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿì 4¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9ØLJ”J°J „s ƒzL<”øèè_952877178ÿÿÿÿÿÿÿÿfÀF ¥îgØÉ ñgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿí PIC ehÿÿÿÿî LMETA ÿÿÿÿÿÿÿÿÿÿÿÿð è       þÿÿÿ þÿÿÿþÿÿÿ    þÿÿÿþÿÿÿ þÿÿÿ           ! " # $ % & ' þÿÿÿ) þÿÿÿþÿÿÿ, - . / þÿÿÿþÿÿÿ2 þÿÿÿ4 5 6 7 8 9 : ; < = > ? @ A B C D E þÿÿÿG þÿÿÿþÿÿÿJ K L M þÿÿÿþÿÿÿP þÿÿÿR S T U V W X Y þÿÿÿ[ þÿÿÿþÿÿÿþÿÿÿþÿÿÿ` þÿÿÿb c d e f þÿÿÿh þÿÿÿþÿÿÿþÿÿÿþÿÿÿm þÿÿÿo p q r s þÿÿÿu þÿÿÿþÿÿÿþÿÿÿþÿÿÿz þÿÿÿ| } ~  € < ð ÿÿÿ.1  À &ÿÿÿÿÀÿÿÿ°ÿÿÿàp & MathTypeð ú"-\:\Öø"øÊ\™ \G \Z\·\Ò\/û€þSymbol- 2 à"sè 2 ä;añ 2 ÎŽ y 2 ä£ añ 2 ä[añ 2 äÓañû ÿSymbol-ð 2 D*eb 2 D’ eb 2 DJeb 2 DÂebû ÿÌTimes New Roman CyrÌÝ-ð 2 @zb 2 @Xppû€þÌTimes New Roman CyrÌÝ-ð 2 ÎpK 2 àz¨ 2 à–uÀ 2 àÐA 2 à‡ Bÿ 2 ÎM| 2 äðEIÿ“ 2 à×C 2 ΜH< 2 ähEIÿ“ 2 àgD'û€þSymbol-ð 2 àü=Ó 2 àl -Ó 2 à,+Ó 2 à¤+Ó 2 ³Ùæ“ 2 øÙè“ 2 ÞÙç“ 2 ³áö“ 2 øáø“ 2 Þá÷“û ÿÌTimes New Roman CyrÌÝ-ð 2 @œ1p 2 .¥ 0p 2 @[ 1p 2 .~0p 2 8v2p 2 @Ó1p 2 .Ú0p 2 8î3p 2 @c1pû€þÌTimes New Roman CyrÌÝ-ð 2 à‹;g & ÿÿÿÿû¼Ì"SystemÌ-ðCompObjgiÿÿÿÿ fObjInfoÿÿÿÿjÿÿÿÿ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ T_952877176£3mÀF ñgØÉ ñgØÉþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9Ø8LJ”J°J „s ƒz †=ƒK„a „e 2ƒzƒu ƒp ƒA ˆ1 †-„y ˆ0 „a „e ƒB ˆ1 †+ƒM ˆ0 „a „eˆ2 ƒEƒIƒC ˆ1 †+ƒH ˆ0 „a „eˆ3 ƒEƒIƒD ˆ1 –(–)‚;JL—¯X¨èè—¯ ^ ÿÿÿ.1  @À&ÿÿÿÿÀÿÿÿ¾ÿÿÿ€þ & MathTypeà ú"-übüZû€þÌTimes New Roman CyrÌÝ- 2 Ole ÿÿÿÿÿÿÿÿÿÿÿÿ PIC loÿÿÿÿ LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ ÄCompObjnpÿÿÿÿ( f€8M| 2 €PEIuÿ“À 2 €A 2 €Y EIÿ“ 2 €„Bÿ 2 €oM| 2 €GC 2 nzH< 2 €’D'û ÿÌTimes New Roman CyrÌÝ-ð 2 à¸zb 2 à¤ppû€þSymbol-ð 2 €œ=Ó 2 €Ø -Ó 2 €I+Ó 2 €4+Óû€þSymbol-ð 2 €»añ 2 €æ añ 2 €ë y 2 „‘añû ÿSymbol-ð 2 àªeb 2 àÕ eb 2 ä€ebû ÿÌTimes New Roman CyrÌÝ-ð 2 ÔÖ2p 2 àú3p 2 à0p 2 àj3p 2 àå0p 2 àU3p 2 θ0p 2 à 3pû€þÌTimes New Roman CyrÌÝ-ð 2 € ;g & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9ØôLJ”J°J ƒM ƒz †=„a „eˆ2 ƒEƒIƒu ƒp ƒA ˆ3 †-„a „e ƒEƒI„y ˆ0 ƒB ˆ3 †+ƒM ˆ0 ƒC ˆ3 †+ƒH ˆ0 „a „e ƒD ˆ3 ‚;vJObjInfoÿÿÿÿqÿÿÿÿ* Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ+ _952877175ÿÿÿÿÿÿÿÿtÀF ñgØÉ ñgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ0 LkÁÐèèkÁ P ÿÿÿ.1  €€&ÿÿÿÿÀÿÿÿ»ÿÿÿ@; & MathTypepû€þÌTimes New Roman CyrÌÝ- 2  4H< 2  EIuÿ“À 2  âA 2  A EIÿ“ 2  lBÿ 2  ·M|PIC svÿÿÿÿ1 LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ3 ¨CompObjuwÿÿÿÿF fObjInfoÿÿÿÿxÿÿÿÿH  2  C 2  ¢H< 2  VD'û ÿÌTimes New Roman CyrÌÝ-ð 2 yzb 2 gppû€þSymbol-ð 2  `=Ó 2  ¢ -Ó 2  9+Ó 2  €+Óû€þSymbol-ð 2  añ 2  ° añ 2  Ó y 2  Hañû ÿSymbol-ð 2 neb 2 Ÿ eb 2 7ebû ÿÌTimes New Roman CyrÌÝ-ð 2 ôš3p 2 À4p 2 ôË 2p 2 ê0p 2 V4p 2 10p 2 4p 2 à0p 2 d4pû€þÌTimes New Roman CyrÌÝ-ð 2  ä;g & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9ØìXJ´J¬J ƒH ƒz †=„a „eˆ3 ƒEƒIƒu ƒp ƒA ˆ4 †-„a „eˆ2 ƒEƒI„y ˆ0 ƒB ˆ4 †+„a „e ƒM ˆ0 ƒC ˆ4 †+ƒH ˆ0 ƒD ˆ4 ‚;LìW[TèèEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿI _952877174€r{ÀF ñgØÉ ñgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿN PIC z}ÿÿÿÿO LìW   ÿÿÿ.1   `&ÿÿÿÿÀÿÿÿ¬ÿÿÿ Ì & MathTypePû€þÌTimes New Roman CyrÌÝ- 2 €8N' 2 €‚N'û ÿÌTimes New Roman CyrÌÝ-ð 2 àhzbû€þSymbol-ð 2 €L=Óû€þÌTimes New Roman CyrÌÝ-ðMETA ÿÿÿÿÿÿÿÿÿÿÿÿQ CompObj|~ÿÿÿÿZ fObjInfoÿÿÿÿÿÿÿÿ\ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ] @ 2 €¸,g & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9Ø$LJ”J°J ƒN ƒz †=ƒN‚,L`§Èðèè_952877173ÿÿÿÿÿÿÿÿ‚ÀF ñgØÉ ñgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ^ PIC „ÿÿÿÿ_ LMETA ÿÿÿÿÿÿÿÿÿÿÿÿa X`§ § ÿÿÿ.1  €@&ÿÿÿÿÀÿÿÿìÿÿÿl & MathType ú"-XLXôû€þÌTimes New Roman CyrÌÝ- 2 @8z¨ & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS EqCompObjƒ…ÿÿÿÿg fObjInfoÿÿÿÿ†ÿÿÿÿi Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿj ,_952877172•y‰ÀF ñgØÉ ñgØÉuation Equation.2ô9²q9ØLJ”J°J 2ƒzLíWTèèíW ± ÿÿÿ.1   À&ÿÿÿÿÀÿÿÿ¬ÿÿÿ€ÌOle ÿÿÿÿÿÿÿÿÿÿÿÿk PIC ˆ‹ÿÿÿÿl LMETA ÿÿÿÿÿÿÿÿÿÿÿÿn lCompObjŠŒÿÿÿÿt f & MathTypePû€þSymbol- 2 €"sèû ÿÌTimes New Roman CyrÌÝ-ð 2 àzb & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9ØLJ”J°J „s ƒzObjInfoÿÿÿÿÿÿÿÿv Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿw 4_952877171ÿÿÿÿÿÿÿÿÀF ñgØÉBøgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿx LAg| ÃèèAg ) ÿÿÿ.1   `&ÿÿÿÿÀÿÿÿ½ÿÿÿ ] & MathType  ú"-,æ ,s¾ê ¾É ú"-ÜÜ“û€þÌTimes New Roman CyrÌÝ- PIC ’ÿÿÿÿy LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ{ \CompObj‘“ÿÿÿÿ fObjInfoÿÿÿÿ”ÿÿÿÿ  ‚ ƒ „ … † ‡ ˆ ‰ Š ‹ Œ þÿÿÿŽ þÿÿÿþÿÿÿ‘ ’ “ þÿÿÿþÿÿÿ– þÿÿÿ˜ ™ š › œ ž Ÿ   ¡ ¢ £ ¤ ¥ ¦ § ¨ © ª « ¬ ­ ® ¯ ° ± ² ³ ´ þÿÿÿ¶ þÿÿÿþÿÿÿ¹ º » ¼ ½ þÿÿÿþÿÿÿÀ þÿÿÿÂ Ã Ä Å þÿÿÿÇ þÿÿÿþÿÿÿþÿÿÿþÿÿÿÌ þÿÿÿÎ Ï Ð Ñ Ò Ó Ô Õ Ö × þÿÿÿÙ þÿÿÿþÿÿÿÜ þÿÿÿþÿÿÿß þÿÿÿá â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ÷ ø ù ú û ü ý þ þÿÿÿ 2 `8M| 2 ° lg 2 ž®lg 2 ´¬EIÿ“ 2 0n lg 2 F EIÿ“ 2 `ËH<û ÿÌTimes New Roman CyrÌÝ-ð 2 ÀæfJ 2 ÓMHݸ 2 z MMÝÝ 2 ¢~MMÝÝû€þSymbol-ð 2 `Ø=Ó 2 `-Ó 2 °ñ+Ó 2 °¸ +Ó 2 B¼ +Óû€þSymbol-ð 2 °.e¨ 2 °Õ e¨ 2 BÙe¨û ÿÌTimes New Roman CyrÌÝ-ð 2 d 0p 2 þû0p 2 ò 2p 2 » 0pû€þÌTimes New Roman CyrÌÝ-ð 2 ´î 2À & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qEquation Native ÿÿÿÿÿÿÿÿÿÿÿÿ à_952877170œŽ—ÀFBøgØÉBøgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ” PIC –™ÿÿÿÿ• L9ØÄLJ”J°J ƒM ƒf †=†-„e ƒMƒH †+ƒl ˆ0 „e ƒMƒM †+ƒl ˆ0ˆ2 ˆ2ƒEƒI„e ƒMƒM †+ƒl ˆ0 ƒEƒIƒHL$öxÐèè$ö ¹ ÿÿÿ.META ÿÿÿÿÿÿÿÿÿÿÿÿ— |CompObj˜šÿÿÿÿµ fObjInfoÿÿÿÿ›ÿÿÿÿ· Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ¸ T1  €À &ÿÿÿÿÀÿÿÿ­ÿÿÿ€ - & MathTypeàû[ýÚSymbol-2 ßB (û[ýÚSymbol-ð2 ß¿)ûòü³Symbol-ð2 ” [ûòü³Symbol-ð2 b] ú"-<K<×û[ýÚSymbol-ð2 ß(û[ýÚSymbol-ð2 ß )û€þÌTimes New Roman CyrÌÝ-ð 2 À8Fè 2 À A 2 ÀD pÀ 2 À» tg€À 2 Àwtg€À 2 À¬c¨ 2 ®cdÀ 2 ÄnÀ 2 À´pÀ 2 À3nÀ 2 ÀOc¨û ÿÌTimes New Roman CyrÌÝ-ð 2 dp 2 à i< 2 œIV 2 Ti< 2 @IV 2 øi< 2 si< 2 Õnp 2 Pi< 2 ãIV 2 ›i<û€þSymbol-ð 2 À=Ó 2 Àa+Ó 2 À†+Ó 2 À+Ó 2 Äb¢^ 2 À+Óû ÿSymbol-ð 2 É={ûÀýSymbol-ð 2 ö:å›û ÿÌTimes New Roman CyrÌÝ-ð 2 Ö1p 2 A1p 2 52p 2 $1p 2 Õ2pû€þÌTimes New Roman CyrÌÝ-ð 2 Àrcos¨Ó“û ÿÌTimes New Roman CyrÌÝ-ð 2  ,< 2 ®,< 2 Q,<û€þSymbol-ð 2 ÀŽañ 2 Àû añ 2 À·jè & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9Ø8LJ”J°J ƒF ƒd †=ƒA ˆ1 ‚c‚o‚s„aƒp ƒi ƒtƒg„a†+ƒtƒg„j ƒI‚,ƒi –(–)†+ƒc ƒI‚,ƒi –[–] ƒi†=ˆ1ƒn †å †+ƒd ˆ2 ƒn ˆ1 2ƒp ƒi †+ƒn ˆ2 ƒc ƒI‚,ƒi –(–)L§„ðÜèè_952877169ÿÿÿÿÿÿÿÿžÀFBøgØÉŒúgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ¾ PIC  ÿÿÿÿ¿ LMETA ÿÿÿÿÿÿÿÿÿÿÿÿÁ §„ ‰ ÿÿÿ.1  `€&ÿÿÿÿÀÿÿÿ,@Œ & MathType0û€þSymbol- 2 !añ & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qCompObjŸ¡ÿÿÿÿÆ fObjInfoÿÿÿÿ¢ÿÿÿÿÈ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿÉ (_952877168¿‡¥ÀFŒúgØÉŒúgØÉ9Ø LJ”J°J „aL¯ž¨|è诞 M ÿÿÿ.1  `@&ÿÿÿÿÀÿÿÿ¬ÿÿÿ  & MathTypepû€þSymbol- Ole ÿÿÿÿÿÿÿÿÿÿÿÿÊ PIC ¤§ÿÿÿÿË LMETA ÿÿÿÿÿÿÿÿÿÿÿÿÍ ¤CompObj¦¨ÿÿÿÿØ f2 € jèû ÿÌTimes New Roman CyrÌÝ-ð 2 àIV 2 à­i< 2 àIV 2 àÄi<û€þÌTimes New Roman CyrÌÝ-ð 2 €ˆc¨û ÿÌTimes New Roman CyrÌÝ-ð 2 ào,< 2 à†,<û€þÌTimes New Roman CyrÌÝ-ð 2 €ü,g & ÿÿÿÿû¼Ì"SystemÌ-ðLþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9Ø8XJ´JœJ „j ƒI‚,ƒi ‚,ƒc ƒI‚,ƒiÿLugÃèèObjInfoÿÿÿÿ©ÿÿÿÿÚ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿÛ T_952877166ÿÿÿÿÿÿÿÿ¬ÀFŒúgØÉŒúgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿÝ PIC «®ÿÿÿÿÞ LMETA ÿÿÿÿÿÿÿÿÿÿÿÿà ´CompObj­¯ÿÿÿÿÿ fObjInfoÿÿÿÿ°ÿÿÿÿ ug Õ ÿÿÿ.1   &ÿÿÿÿÀÿÿÿ§ÿÿÿÀG & MathType  ú"-½\½;û€þÌTimes New Roman CyrÌÝ- 2 A`pÀ 2 ApÀ 2 / Eÿ 2 ERpÀ 2 Ei v¨ 2 EbpÀ 2 E±v¨ 2 ÑpÀ 2 Ñ?c¨ 2 ÑÛctg¨€À 2 Ñ· c¨ 2 ÑSctg¨€Àû ÿÌTimes New Roman CyrÌÝ-ð 2 ¡üi< 2 ¡ºi< 2 i< 2 ¥œi< 2 ¥ý i< 2 ¥¬i< 2 ¥Ei< 2 1¶pp 2 1di< 2 1ÓIV 2 1‹i< 2 1¨ IV 2 1` i< 2 1K IV 2 1i< 2 1 IV 2 1Øi<û€þSymbol-ð 2 AÀ=Ó 2 EÌ¢^ 2 A~=Ó 2 ED -Ó 2 Eg -Ó 2 EŒ-Ó 2 ø¼é“ 2 Ç¼ë“ 2 i¼ê“ 2 øRù“ 2 ÇRû“ 2 iRú“ 2 AÚ´Ó 2 Ñ:´Ó 2 Ñ+Ó 2 Ñ’ -Óû€þÌTimes New Roman CyrÌÝ-ð 2 Ed4À 2 EX 1À 2 E|2À 2 Eˆ2Àû ÿÌTimes New Roman CyrÌÝ-ð 2 ¥ä0p 2 ™ 2p 2 ¥ô0p 2 ¥R,< 2 ¥b,< 2 1,< 2 1A,< 2 1 ,< 2 1¹ ,< 2 1Ž,<û€þÌTimes New Roman CyrÌÝ-ð 2 Eú(€ 2 E“ )€ 2 E (€ 2 E£)€ 2 ÑN(€ 2 Ѿ )€ 2 Ñ.,gû ÿSymbol-ð 2 îxnû€þSymbol-ð 2 ÑÃjè 2 Ñ;jè & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Eqþÿÿÿþÿÿÿ      þÿÿÿþÿÿÿ þÿÿÿ              þÿÿÿ þÿÿÿþÿÿÿ þÿÿÿþÿÿÿ" þÿÿÿ$ % & ' ( ) * + , - . / 0 1 2 3 4 þÿÿÿ6 þÿÿÿþÿÿÿ9 : þÿÿÿþÿÿÿ= þÿÿÿ? @ A B C D E þÿÿÿG þÿÿÿþÿÿÿþÿÿÿþÿÿÿL þÿÿÿN O P Q R S T þÿÿÿV þÿÿÿþÿÿÿþÿÿÿþÿÿÿ[ þÿÿÿ] ^ _ ` þÿÿÿb þÿÿÿþÿÿÿþÿÿÿþÿÿÿg þÿÿÿi j k l m n o þÿÿÿq þÿÿÿþÿÿÿþÿÿÿþÿÿÿv þÿÿÿx y z { þÿÿÿ} þÿÿÿþÿÿÿþÿÿÿuation Equation.2ô9²q9ØtLJ”J°J ƒp ƒi †=2ƒp ƒi †=ƒE ƒi ˆ4ƒp ˆ0‚,ƒi ‚(ˆ1†-ƒv ƒiˆ2 ‚)†-ˆ2ƒp ˆ0‚,ƒi ‚(ˆ2†-ƒv ƒi ‚)–[–] „x †´†´‚(ƒp ƒp‚,ƒi †+ƒc ƒI‚,ƒi ƒcƒtƒg„j ƒI‚,ƒi ‚)†-ƒc ƒI‚,ƒi ƒcƒtƒg„j ƒI‚,Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ _952877165¸ª³ÀFŒúgØÉŒúgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ PIC ²µÿÿÿÿ Lƒi ‚,wJL”¯L¨è蔯 ¿ ÿÿÿ.1  @à&ÿÿÿÿÀÿÿÿ¾ÿÿÿ þ & MathTypeà ú"-ü@üEû€þÌTimes New Roman CyrÌÝ- 2 META ÿÿÿÿÿÿÿÿÿÿÿÿ ˆCompObj´¶ÿÿÿÿ fObjInfoÿÿÿÿ·ÿÿÿÿ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ €nHv¨ 2 „9v¨ 2 €IhÀû ÿÌTimes New Roman CyrÌÝ-ð 2 ÎÜi< 2 äÍi< 2 à9IV 2 àñi< 2 àèi<û€þÌTimes New Roman CyrÌÝ-ð 2 „(1Àû€þSymbol-ð 2 „-Óû€þSymbol-ð 2 €jgû ÿÌTimes New Roman CyrÌÝ-ð 2 à§,<û€þÌTimes New Roman CyrÌÝ-ð 2 €>;g & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9ØdLJ”J°J ƒv ƒi ˆ1†-ƒv ƒi „g ƒI‚,ƒi ƒh ƒi ‚;_952877164ÿÿÿÿÿÿÿÿºÀFŒúgØÉýügØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ PIC ¹¼ÿÿÿÿ! LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ# hLš{Œ hèèš{ 0 ÿÿÿ.1  @à&ÿÿÿÿÀÿÿÿ¬ÿÿÿ ì & MathType`û€þÌTimes New Roman CyrÌÝ- 2 €`pÀ 2 €U c¨û ÿÌTimes New Roman CyrÌÝ-ð 2 àªi< 2 àDIV 2 àüi< 2 àé IV 2 à¡ i< 2 à%IV 2 àÝi<û ÿÌTimes New Roman CyrÌÝ-ð 2 àò0pû€þÌTimes New Roman CyrÌÝ-ð 2 €f1Àû ÿÌTimes New Roman CyrÌÝ-ð 2 à`,< 2 à²,< 2 àW ,< 2 à“,<û€þÌTimes New Roman CyrÌÝ-ð 2 €(€ 2 €ysin“gÓ 2 €Z)€ 2 €! cos¨Ó“ 2 €3,gû€þSymbol-ð 2 €S+Ó 2 €/ +Óû€þSymbol-ð 2 €[jè 2 €<jè & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qCompObj»½ÿÿÿÿ5 fObjInfoÿÿÿÿ¾ÿÿÿÿ7 Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ8 ¤_952877163Û±ÁÀFýügØÉýügØÉ9؈LJ”J°J ƒp ˆ0‚,ƒi ‚(ˆ1†+‚s‚i‚n„j ƒI‚,ƒi ‚)†+ƒc ƒI‚,ƒi ‚c‚o‚s„j ƒI‚,ƒi ‚,L{{hhèè{{ â ÿÿÿ.1  @@&ÿÿÿÿÀÿÿÿ¬ÿÿÿìOle ÿÿÿÿÿÿÿÿÿÿÿÿ; PIC ÀÃÿÿÿÿ< LMETA ÿÿÿÿÿÿÿÿÿÿÿÿ> ÌCompObjÂÄÿÿÿÿF f & MathType`û€þSymbol- 2 €%gû ÿÌTimes New Roman CyrÌÝ-ð 2 àôIV 2 à¬i<û ÿÌTimes New Roman CyrÌÝ-ð 2 àb,< & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²qObjInfoÿÿÿÿÅÿÿÿÿH Equation Native 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Native ÿÿÿÿÿÿÿÿÿÿÿÿs <_952877159÷ÍÝÀFnÿgØÉnÿgØÉþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9Ø LJ”J°J „j ƒI‚,ƒiJL`WÈTèè`W ‰ ÿÿÿ.Ole ÿÿÿÿÿÿÿÿÿÿÿÿt PIC Üßÿÿÿÿu LMETA ÿÿÿÿÿÿÿÿÿÿÿÿw CompObjÞàÿÿÿÿ| f1   @&ÿÿÿÿÀÿÿÿ¬ÿÿÿÌ & MathTypePû€þSymbol- 2 €(x¾ & ÿÿÿÿû¼Ì"SystemÌ-ðþÿ ÿÿÿÿÀFMicrosoft Equation 2.0 DS Equation Equation.2ô9²q9Ø LJ”J°J „xObjInfoÿÿÿÿáÿÿÿÿ~ Equation Native ÿÿÿÿÿÿÿÿÿÿÿÿ (_952877157ÿÿÿÿÿÿÿÿäÀFnÿgØÉnÿgØÉOle ÿÿÿÿÿÿÿÿÿÿÿÿ€ þÿÿÿ‚ þÿÿÿ„ … † ‡ ˆ ‰ Š ‹ Œ Ž þÿÿÿ‘ þÿÿÿþÿÿÿ” þÿÿÿþÿÿÿ— þÿÿÿ™ š › œ ž Ÿ   þÿÿÿ¢ þÿÿÿþÿÿÿþÿÿÿþÿÿÿ§ þÿÿÿ© ª « ¬ ­ þÿÿÿ¯ þÿÿÿþÿÿÿþÿÿÿþÿÿÿ´ þÿÿÿ¶ · ¸ ¹ º » ¼ ½ ¾ þÿÿÿÀ þÿÿÿþÿÿÿà þÿÿÿþÿÿÿÆ þÿÿÿÈ É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ þÿÿÿ× þÿÿÿþÿÿÿÚ Û þÿÿÿþÿÿÿÞ þÿÿÿà á â ã þÿÿÿå þÿÿÿþÿÿÿþÿÿÿþÿÿÿê þÿÿÿì í î ï ð ñ ò ó ô õ ö ÷ ø ù þÿÿÿû þÿÿÿþÿÿÿþ ÿ þÿÿÿL2 ŒÈ”èè2 Œ Š ÿÿÿ.1   @ &ÿÿÿÿÀÿÿÿ­ÿÿÿ Í & MathType° ú"-<b<aû€þÌTimes New Roman CyrÌÝ- 2 À@s“ 2 ®‚nÀ 2 ®Ÿv¨ 2 Ä»EPIC ãæÿÿÿÿ LMETA ÿÿÿÿÿÿÿÿÿÿÿÿƒ CompObjåçÿÿÿÿ fObjInfoÿÿÿÿèÿÿÿÿ’ ÿû€þSymbol-ð 2 À$=Ó 2 ®z-Óû€þÌTimes New Roman 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