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'5< <5=LH5 ?>3@5H=>ABL, B5< 2KH5 B>G=>ABL. @5645 2A53>, ACI5AB2CNB 420 ?>=OB8O: ?>3@5H=>ABL 87<5@5=8O; ?>3@5H=>ABL 87<5@8B5;L=>3> ?@81>@0. -B> =5 >4=> 8 B> 65. >6=> 27OBL 4>@>3>9, >G5=L B>G=K9 ?@81>@, => ?>;CG8BL ?@8 =53@0<>B=>< 8A?>;L7>20=88 >G5=L ?;>E>9 @57C;LB0B. >?@>1C9B5 A0<8 ?@825AB8 ?@8<5@ B0:>9 A8BC0F88. !CI5AB2C5B B@8 D>@<K 2K@065=8O ?>3@5H=>AB59: 01A>;NB=0O ; >B=>A8B5;L=0O : ?@8254Q==0O . >3@5H=>ABL 87<5@5=8O <>65B 1KBL 2K@065=0 2 D>@<5  8;8 , 0 ?>3@5H=>ABL 87<5@8B5;L=>3> ?@81>@0  2 ;N1>9 87 B@QE D>@<. 1A>;NB=0O ?>3@5H=>ABL 87<5@8B5;L=>3> ?@81>@0:  = %  %8AB H" %  %4, (6) 345 %  ?>:070=85 ?@81>@0; %8AB  8AB8==>5 7=0G5=85 87<5@O5<>9 25;8G8=K; %4  5Q 459AB28B5;L=>5 7=0G5=85. B=>A8B5;L=0O ?>3@5H=>ABL 87<5@8B5;L=>3> ?@81>@0:  =  EMBED Equation.3   (%) = 100 EMBED Equation.3  (7) @8254Q==0O ?>3@5H=>ABL 87<5@8B5;L=>3> ?@81>@0:  =  EMBED Equation.3   (%) = 100 EMBED Equation.3  (8) 345 %=  =>@<8@CNI55 7=0G5=85 87<5@O5<>9 25;8G8=K. 'B> 7=0G8B =>@<8@CNI55 7=0G5=85? >:06C =0 ?@8<5@0E: 1) # 2>;LB<5B@0 A 480?07>=>< 87<5@5=8O >B 0 4> 15  =>@<8@CNI55 7=0G5=85 %= = U= = 15 . 2) # <8;;80<?5@<5B@0 A 42CAB>@>==59 H:0;>9  5 < 0 5 < =>@<8@CNI55 7=0G5=85 %= = I= = 5 < (8;8 10 <). 3) '0AB>B><5@ A C7:8< 480?07>=>< 87<5@5=8O 49 F 50 F 51 F =>@<8@CNI55 7=0G5=85 %= = f= = 50 F. !2O7L >B=>A8B5;L=>9 ?>3@5H=>AB8 A ?@8254Q==>9:  EMBED Equation.3  =  EMBED Equation.3   =  ?@8 % = %= ;  >  ?@8 % < %= ! A=>2=0O ?>3@5H=>ABL 8 4>?>;=8B5;L=K5 ?>3@5H=>AB8. >3@5H=>ABL  7028A8B >B 2;8ONI8E 25;8G8= :  = f(1; 2;& n). ;8ONI85 25;8G8=K  MB>: 0) 2=5H=85 D0:B>@K  B5<?5@0BC@0, =0?@O65=85 ?8B0=8O (5A;8 >=> 5ABL C ?@81>@0) 8 4@.; 1) =58=D>@<0B82=K5 ?0@0<5B@K 2E>4=>3> A83=0;0. @8<5@: u(t) = Umsint =  EMBED Equation.3 Usin2ft  2>;LB<5B@>< 87<5@ONB A@54=55 :204@0B8G5A:>5 7=0G5=85 U A8=CA>840;L=>3> =0?@O65=8O u(t); 2 MB>< A;CG05 G0AB>B0 f MB>3> =0?@O65=8O  =58=D>@<0B82=K9 ?0@0<5B@ 2E>4=>3> A83=0;0, B.5. B0:>9 ?0@0<5B@, :>B>@K9 =5 =5AQB ?>;57=>9 8=D>@<0F88 > 7=0G5=88 U, => 2;8O5B =0 @57C;LB0B 87<5@5=8O U;  G0AB>B><5@>< 87<5@ONB G0AB>BC f A8=CA>840;L=>3> =0?@O65=8O u(t); 2 MB>< A;CG05 U  =58=D>@<0B82=K9 ?0@0<5B@ 2E>4=>3> A83=0;0. >@<0;L=K5 CA;>28O ?@8<5=5=8O ?@81>@0  MB> B0:85 CA;>28O, :>340 2A5 2;8ONI85 25;8G8=K i ;81> 8<5NB =>@<0;L=K5 7=0G5=8O [7] i = i,=>@<, ;81> =0E>4OBAO 2 ?@545;0E =>@<0;L=KE >1;0AB59 7=0G5=89 i,=>@<,min d" i d" i,=>@<,max. @8<5@K: 0)  = 20 0!  =>@<0;L=>5 7=0G5=85 B5<?5@0BC@K, ?@8=OB>5 2 =0H59 AB@0=5; 1) >B=>A8B5;L=0O 2;06=>ABL 2>74CE0 >B 30 4> 80 %  =>@<0;L=0O >1;0ABL 7=0G5=89. @8<5G0=85. 15A?5G8BL ?@8 8A?KB0=8OE B>G=> 20 0! =52>7<>6=>, ?>MB><C 4>?CA:0NBAO >B:;>=5=8O, =0?@8<5@, 2 ?@545;0E (20 2) 0!. -B>B 4>?CA: 7028A8B >B B>G=>AB8 8A?KBC5<>3> ?@81>@0; 4;O A0<KE B>G=KE >= A>AB02;O5B 0,5 0!. !/ ?>3@5H=>ABL >  MB> ?>3@5H=>ABL 2 =>@<0;L=KE CA;>28OE. 01>G85 CA;>28O ?@8<5=5=8O ?@81>@0  MB> B0:85 CA;>28O, :>340 2;8ONI85 25;8G8=K i =0E>4OBAO 2 ?@545;0E @01>G8E >1;0AB59 7=0G5=89 i,@01,min d" i d" i,@01,max. @8<5@: B5<?5@0BC@0 2 ?@545;0E 10 0! d"  d" 35 0! (2O 3@C??0 A@54AB2 87<5@5=89)  50 0! d"  d" 60 0! (6O 3@C??0). ",/ ?>3@5H=>ABL 4  MB> 87<5=5=85 ?>3@5H=>AB8, 2K720==>5 >B:;>=5=85< >4=>9 87 2;8ONI8E 25;8G8= i >B 5Q =>@<0;L=>3> 7=0G5=8O i,=>@< 8;8 2KE>4>< 70 ?@545;K =>@<0;L=>9 >1;0AB8 7=0G5=89 i,=>@<,min i,=>@<,max. !8AB5<0B8G5A:0O 8 A;CG09=0O ?>3@5H=>AB8. !8AB5<0B8G5A:0O ?>3@5H=>ABL A >AB0QBAO ?>AB>O==>9 8;8 70:>=><5@=> 87<5=O5BAO 2 7028A8<>AB8 >B 2@5<5=8 (8;8 4@C3>3> 0@3C<5=B0). !;CG09=0O ?>3@5H=>ABL  EMBED Equation.3  87<5=O5BAO A;CG09=K< >1@07><. CABL % = const. @>872>4OBAO ?>2B>@=K5 87<5@5=8O %. A;8 %1; %2;& %n >B;8G0NBAO 4@C3 >B 4@C30  7=0G8B, ?@>O2;O5B A51O A;CG09=0O ?>3@5H=>ABL. 'B> ?@8 MB>< ?@8=OBL 70 @57C;LB0B 87<5@5=8O? B25B 8725AB5=: A@54=55 7=0G5=85:  EMBED Equation.3 . (9)  25@>OB=>AB=>< A<KA;5 %A@ 1;865 : 8AB8==><C 7=0G5=8N %8AB, G5< ;N1>5 %i. -B> >1JOA=O5BAO B5<, GB> >4=8 %i >B;8G0NBAO >B %A@ 2 >4=C AB>@>=C, 4@C385  2 4@C3CN. '5< 1>;LH5 n, B5< <5=LH5 2;8O=85 A;CG09=>9 ?>3@5H=>AB8, => B5< 4>;LH5 ?@>F5AA 87<5@5=8O. "0:>5 87<5@5=85 A ?>2B>@0<8 8 CA@54=5=85< =07K20NB 87<5@5=85< A <=>3>:@0B=K<8 =01;N45=8O<8: %i  MB> =01;N45=8O, 0 %A@  @57C;LB0B 87<5@5=8O. "0:8< >1@07><, ?@>AB>9 ?@8Q<  <=>3>:@0B=K5 =01;N45=8O  ?>72>;O5B >1=0@C68BL ?@8ACBAB285 A;CG09=>9 ?>3@5H=>AB8, 0 8E CA@54=5=85  A=878BL 5Q 2;8O=85. 0<5B8<, GB> MB>B ?@8Q< =5 >1=0@C68205B A8AB5<0B8G5A:CN ?>3@5H=>ABL 8 =5 A=8605B 5Q. ;O =0E>645=8O A =C65= 1>;55 B>G=K9 ?@81>@, ?>:070=85 :>B>@>3> <>6=> AG8B0BL 459AB28B5;L=K< 7=0G5=85< %4, 8 B>340 A = %  %4 (10) 8;8 A = %A@  %4, (11) 5A;8 2KO2;5=> ?@8ACBAB285 A;CG09=>9 ?>3@5H=>AB8 8 ?@>872545=K <=>3>:@0B=K5 =01;N45=8O. A;8 A =0945=0, 5Q <>6=> 8A:;NG8BL, 2254O ?>?@02:C:  =  A. (12) ">340 % +   MB> 1C45B 8A?@02;5==K9 @57C;LB0B 87<5@5=8O. >;CG05BAO, GB> 5A;8 ?>3@5H=>ABL =0945=0  MB> C65 =5 ?>3@5H=>ABL. >3@5H=>ABL >AB0QBAO ?>3@5H=>ABLN ;8HL 4> B5E ?>@, ?>:0 2 =59 5ABL =5>?@545;Q==>ABL, A;CG09=>ABL. >A;5 2=5A5=8O ?>?@02:8 >AB0NBAO =5 8A:;NGQ==K5 >AB0B:8 A, => >=8 C65 A;CG09=K. B0:, ?>3@5H=>ABL  2 ?@8=F8?5 A;CG09=0O 25;8G8=0. !;CG09=K5 25;8G8=K <>6=> 87CG0BL, C =8E 5ABL >?@545;Q==K5 70:>=K. -B8< 70=8<05BAO >4=0 87 >B@0A;59 <0B5<0B8:8  B5>@8O 25@>OB=>AB59. K 1C45< 5Q 8A?>;L7>20BL. K @0AA<>B@5;8 A;CG09, :>340 A ?><>ILN 1>;55 B>G=>3> ?@81>@0 =0E>4OB A 8 22>4OB ?>?@02:C . >65B 2>7=8:=CBL 2>?@>A: 5A;8 C =0A 5ABL MB>B 1>;55 B>G=K9 ?@81>@, ?>G5<C 1K 8< 8 =5 87<5@OBL? 5;> 2 B><, GB> ?>?@02:0 2=>A8BAO 2 @57C;LB0BK <=>38E 87<5@5=89, 0 >?@545;O5BAO @54:>. ;O 5Q =0E>645=8O 8A?>;L7CNBAO MB0;>==K5 A@54AB20 87<5@5=8O. =8 A;C60B =5 4;O 87<5@5=89, 0 4;O ?>25@:8 8 0BB5AB0F88 @01>G8E A@54AB2 87<5@5=8O. A;8 1K MB0;>==K5 A@54AB20 8A?>;L7>20;8AL 4;O 87<5@5=89, >=8 1KAB@> 1K ?5@5AB0;8 1KBL MB0;>==K<8. > 2>>1I5 2=5A5=85 ?>?@02:8  4>2>;L=> @54:89 A;CG09 2 ?@0:B8:5 87<5@5=89: MB> B>G=K5 ;01>@0B>@=K5 87<5@5=8O, =0CG=K5 8AA;54>20=8O. >;LH59 G0ABLN A 5ABL, => 5Q =5 2KO2;ONB 4;O :064>3> 40==>3> M:75<?;O@0 A@54AB2 87<5@5=89. 0 <=>65AB25 M:75<?;O@>2 40==>3> B8?0 A@54AB2 87<5@5=89 >=0 ?@>O2;O5B A51O, :0: A;CG09=0O 25;8G8=0. "0:8< >1@07><,  EMBED Equation.3 ?@>O2;O5B A51O, :0: A;CG09=0O 25;8G8=0 =0 <=>65AB25 <=>3>:@0B=KE =01;N45=89, 5A;8 B0:>2K5 ?@>872>4OBAO, 0 A ?@>O2;O5B A51O, :0: A;CG09=0O 25;8G8=0 4065 ?@8 >4=>< 87<5@5=88  =0 <=>65AB25 M:75<?;O@>2 ?@81>@>2 40==>3> B8?0. >@<8@>20=85 ?>3@5H=>AB59 >@<8@CNB ?@545;L=> 4>?CA:05<K5 7=0G5=8O ?>3@5H=>AB59 A@54AB2 87<5@5=89, 2 ?5@2CN >G5@54L 4;O >A=>2=>9 ?>3@5H=>AB8. !CI5AB2CNB @07=K5 D>@<K =>@<8@>20=8O: 1) >@<8@CNB ?@545;L=> 4>?CA:05<K5 7=0G5=8O >A=>2=>9 ?@8254Q==>9 ?>3@5H=>AB8, =0?@8<5@, >,? = 0,5 %. "0: =>@<8@CNB ?>3@5H=>AB8 0=0;>3>2KE 2>;LB<5B@>2, 0<?5@<5B@>2 8 B.?. -B> >7=0G05B, GB>  0,5 % d" > d" 0,5 %. >7<>6=>, =0< ?>?0;AO M:75<?;O@ ?@81>@0, C :>B>@>3> > = 0, => <K MB>3> =5 7=05<. K 7=05<, GB> 30@0=B8@C5BAO  0,5 % d" > d" 0,5 %. 2) >@074> @565 30@0=B8@C5BAO ?@545;L=> 4>?CA:05<K5 7=0G5=8O >A=>2=>9 >B=>A8B5;L=>9 ?>3@5H=>AB8, =0?@8<5@, >,? = 0,02 %. "0:, =0?@8<5@, =>@<8@CNB ?>3@5H=>ABL 87<5@8B5;L=KE <>AB>2. 3) >@<8@CNB ?@545;L=> 4>?CA:05<K5 7=0G5=8O >A=>2=>9 >B=>A8B5;L=>9 ?>3@5H=>AB8, => =5 2 2845 G8A;0 A> 7=0:0<8 , 0 2 2845 D>@<C;K:  EMBED Equation.3 . (13) "0: =>@<8@CNB ?>3@5H=>ABL 4;O F8D@>2KE 87<5@8B5;L=KE ?@81>@>2, =0?@8<5@:  EMBED Equation.3  >?>;=8B5;L=K5 ?>3@5H=>AB8. 0AA<>B@8< =0 ?@8<5@0E. @8<5@ 1.  4>:C<5=B0F88 G8B05<: >?>;=8B5;L=0O B5<?5@0BC@=0O ?>3@5H=>ABL =5 1>;55 ?>;>28=K >A=>2=>9 =0 :064K5 10 0! 2 @01>G5< 480?07>=5. 0AH8D@C5< MBC D@07C. CABL 8725AB=>, GB> 4;O 40==>3> ?@81>@0:  @01>G89 480?07>= B5<?5@0BC@ 5 0! d"  d" 40 0!;  ?@545;L=K5 7=0G5=8O >A=>2=>9 ?@8254Q==>9 ?>3@5H=>AB8 >,? = 0,5 %. -B> 7=0G8B, GB> ?@8 10 8 ?@8 30 0! : > 4>102;O5BAO 5IQ 0,25 %. ABL >A=>20=8O AG8B0BL, GB> 7028A8<>ABL 4>?>;=8B5;L=>9 B5<?5@0BC@=>9 ?>3@5H=>AB8 >B B5<?5@0BC@K 1;87:0 : ;8=59=>9. >MB><C, 5A;8, =0?@8<5@,  = 35 0!, B> ?@545;L=K5 7=0G5=8O 4>?>;=8B5;L=>9 B5<?5@0BC@=>9 ?@8254Q==>9 ?>3@5H=>AB8 1C4CB  EMBED Equation.3 . 45AL  EMBED Equation.3   B5<?5@0BC@=K9 :>MDD8F85=B 4>?>;=8B5;L=>9 B5<?5@0BC@=>9 ?>3@5H=>AB8. A;8 1K 2<5AB> & =5 1>;55 ?>;>28=K >A=>2=>9& 1K;> & =5 1>;55 >A=>2=>9& , B> B5<?5@0BC@=K9 :>MDD8F85=B 1K; 1K 0,1>,?. @8<5@ 2.  4>:C<5=B0F88 G8B05<: >?>;=8B5;L=0O G0AB>B=0O ?>3@5H=>ABL =5 1>;55 >A=>2=>9. CABL MB> >B=>A8BAO : 0=0;>3>2><C 2>;LB<5B@C ?5@5<5==>3> =0?@O65=8O, C :>B>@>3> =>@<0;L=0O >1;0ABL 7=0G5=89 G0AB>BK 45 F d" f=>@< d" 1 F, 0 @01>G0O >1;0ABL 20 F d" f@01 d" 5 F. 0 F8D5@1;0B5 ?@81>@0 MB> >1>7=0G05BAO B0:: 20 F& 45 F& 1 F& 5 F  CABL 4;O MB>3> 2>;LB<5B@0 >,? = 4 %. -B> 7=0G8B, GB> 2 480?07>=0E >B 20 F 4> 45 F 8 >B 1F 4> 5 F : > 4>102;O5BAO 4>?>;=8B5;L=0O G0AB>B=0O ?>3@5H=>ABL A ?@545;L=K<8 7=0G5=8O<8 4,f,? = 4 %.  A;CG05 G0AB>B=>9 ?>3@5H=>AB8 =5B >A=>20=89 AG8B0BL, GB> >=0 ;8=59=> 7028A8B >B G0AB>BK. >MB><C, 5A;8, =0?@8<5@, f = 2 F 2AQ @02=> ?@8E>48BAO AG8B0BL, GB> ?@8 MB>< 4,f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quation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quation.3 , (14) 345 RV  A>?@>B82;5=85 2>;LB<5B@0.  >3@5H=>ABL >B 2708<>459AB28O 2>;LB<5B@0 A >1J5:B><: 27 = U  U' =  EMBED Equation.3 . (15) -B0 D>@<C;0 =5C4>1=0 B5<, GB> M.4.A.  =0< =5 8725AB=0, <K 7=05< U, 0 =5 . > 87 D>@<C;K (15) <>6=> 2K@078BL :  EMBED Equation.3 . (16) >4AB0282 (16) 2 (15), ?>;CG8<:  EMBED Equation.3  (17) @8 RV ! " ?>3@5H=>ABL 2708<>459AB28O 27 ! 0. >B ?>G5<C E>@>H B>B 2>;LB<5B@, C :>B>@>3> ?>1>;LH5 RV: C =53> ?><5=LH5 27. 0<5B8<, GB> 27 ! 0 B0:65 8 ?@8 RV ! 0 (87<5@5=85 M.4.A.). K@078< >B=>A8B5;L=CN ?>3@5H=>ABL 2708<>459AB28O:  EMBED Equation.3  (18) =0;>38G=K< ?CBQ< <>6=> =09B8 ?>3@5H=>ABL 2708<>459AB28O 0<?5@<5B@0 A >1J5:B><. @8 MB>< 4>;65= ?>;CG8BLAO B0:>9 @57C;LB0B: ?>3@5H=>ABL 2708<>459AB28O 27 ! 0 ?@8 A>?@>B82;5=88 0<?5@<5B@0 R ! 0. >;57=> ?@>45;0BL MB>B 0=0;87 A0<>AB>OB5;L=>.  40==>< A;CG05 C4>1=55 ?@54AB028BL M:2820;5=B=CN AE5<C >1J5:B0 =5 2 2845 ?>A;54>20B5;L=>3> A>548=5=8O M.4.A. 8 A>?@>B82;5=8O, 0 2 2845 ?0@0;;5;L=>3> A>548=5=8O 8AB>G=8:0 B>:0 8 A>?@>B82;5=8O. "0:8< >1@07><, RV 8 RA 2;8ONB =0 B>G=>ABL: >B =8E 7028A8B 27. > >=0 7028A8B =5 B>;L:> >B =8E, 0 5IQ 8 >B A>?@>B82;5=8O >1J5:B0 R. >MB><C 27 8;8 27 =5;L7O C:070BL 70@0=55 4;O 40==>3> 2>;LB<5B@0 8;8 0<?5@<5B@0. %0@0:B5@8AB8:>9 ?@81>@0, >B@060NI59 53> 2;8O=85 =0 >1J5:B, O2;O5BAO RV 8;8 RA. A;8 87<5@O5BAO A8=CA>840;L=>5 =0?@O65=85, B> =0 2KA>:8E G0AB>B0E =04> CG8BK20BL =5 B>;L:> A>?@>B82;5=85 RV, => 8 Q<:>ABL !V. =8 2:;NG5=K ?0@0;;5;L=>. C45< AG8B0BL, GB> >1J5:B E0@0:B5@87C5BAO G8AB> 0:B82=K< A>?@>B82;5=85< R.  SHAPE \* MERGEFORMAT  254Q< :><?;5:A=>5 =0?@O65=85  EMBED Equation.3  8 :><?;5:A=CN M.4.A.  EMBED Equation.3 :  EMBED Equation.3  345  EMBED Equation.3 . ">340  EMBED Equation.3  "5?5@L ?5@594Q< : <>4C;O< U 8 :  EMBED Equation.3 . >3@5H=>ABL 2708<>459AB28O 2>;LB<5B@0 A >1J5:B><: 27 = U  E = E EMBED Equation.3 , 345  EMBED Equation.3  >A:>;L:C R << RV,  EMBED Equation.3 . 0: 8 @0=LH5, 2K@078<  G5@57 U:  = U EMBED Equation.3  8 ?>4AB028< 2 D>@<C;C 4;O 27: 27 = U EMBED Equation.3  = U(1  EMBED Equation.3 . >A:>;L:C 27 << U (8=0G5 87<5@5=85 15AA<KA;5==>),  EMBED Equation.3  << 1, B.5  EMBED Equation.3  345  << 1, 7=0G8B, ?>;L7COAL A2>9AB2>< <0;KE 25;8G8=, <>6=> =0?8A0BL  EMBED Equation.3 . !;54>20B5;L=>, 27 = U EMBED Equation.3  =  EMBED Equation.3 . (19) @8  = 0 ?>;CG05< D>@<C;C (17). @8 C25;8G5=88  2B>@>5 A;0305<>5 1KAB@> @0ABQB ! K 70:>=G8;8 @0AA<0B@820BL E0@0:B5@8AB8:8 87<5@8B5;L=KE ?@81>@>2. "5?5@L 2:@0BF5 > 4@C38E A@54AB20E 87<5@5=89: <5@0E 8 87<5@8B5;L=KE ?@5>1@07>20B5;OE. 5@K. 5@20O E0@0:B5@8AB8:0 <5@K  5Q =><8=0;L=>5 7=0G5=85 Y=><, 4;O <=>3>7=0G=>9 <5@K  <=>65AB2> =><8=0;L=KE 7=0G5=89. 1A>;NB=0O ?>3@5H=>ABL <5@K:  = Y=><  Y8AB H" Y=><  Y4, 345 Y8AB 8 Y4 - 8AB8==>5 8 459AB28B5;L=>5 7=0G5=8O <5@K. ;O >4=>7=0G=KE <5@ >B=>A8B5;L=0O ?>3@5H=>ABL  8 ?@8254Q==0O ?>3@5H=>ABL   >4=> 8 B> 65, 4;O <=>3>7=0G=KE A>>B=>H5=85 <564C =8<8 B0:>5 65, :0: C 87<5@8B5;L=KE ?@81>@>2. ;O B5E 8 4@C38E A>E@0=ONBAO ?>=OB8O A8AB5<0B8G5A:>9 A 8 A;CG09=>9  EMBED Equation.3  A>AB02;ONI8E. 7<5@8B5;L=K5 ?@5>1@07>20B5;8. ;02=0O E0@0:B5@8AB8:0 87<5@8B5;L=>3> ?@5>1@07>20B5;O  =><8=0;L=0O DC=:F8O ?@5>1@07>20=8O :  Y = f=>< (%). =0 <>65B 1KBL 2 2845 D>@<C;K 8;8 B01;8FK 8;8 3@0D8:0. '0AB=K9 A;CG09  ;8=59=0O DC=:F8O, ?@>E>4OI0O G5@57 =0G0;> :>>@48=0B. 45AL 4>AB0B>G5= =><8=0;L=K9 :>MDD8F85=B ?@5>1@07>20=8O:  S=>< =  EMBED Equation.3 . ;O 87<5@8B5;L=KE ?@5>1@07>20B5;59 >AB0NBAO 2 A8;5 ?>=OB8O > B@QE D>@<0E 2K@065=8O ?>3@5H=>AB8  01A>;NB=0O , >B=>A8B5;L=0O  8 ?@8254Q==0O ; ?>=OB8O >1 >A=>2=>9 ?>3@5H=>AB8 > 8 > 4>?>;=8B5;L=KE ?>3@5H=>ABOE 4; ?>=OB8O > A8AB5<0B8G5A:>9 A 8 A;CG09=>9  EMBED Equation.3  A>AB02;ONI8E. >, :@><5 B>3>, 745AL 459AB2CNB 5IQ 420, :>B>@KE =5B C 87<5@8B5;L=KE ?@81>@>2 8 C <5@: ?>3@5H=>ABL =0 2E>45 2E 8 ?>3@5H=>ABL =0 2KE>45 2KE.  SHAPE \* MERGEFORMAT  !8=OO ;8=8O  =><8=0;L=0O DC=:F8O ?@5>1@07>20=8O, :>B>@>9 <K @0A?>;0305<, 0 :@0A=0O  @50;L=0O, :>B>@0O, 2>>1I5 3>2>@O, =0< =5 8725AB=0. !=0G0;0 >1@0B8<AO : ;52><C @8AC=:C. A;8 =0 2KE>45 ?@5>1@07>20B5;O <K ?>;CG8;8, =0?@8<5@, 87<5@8;8 =5:>B>@>5 7=0G5=85 2KE>4=>3> A83=0;0 Y87<, B>, ?>;L7COAL =><8=0;L=>9 DC=:F859, <K 4C<05<, GB> =0 2E>45 459AB2C5B A83=0; A> 7=0G5=85< %=><. 0 A0<>< 65 45;5 53> 459AB28B5;L=>5 7=0G5=85 %4. 1A>;NB=0O ?>3@5H=>ABL =0 2E>45 (87<5@5==>5  2 40==>< A;CG05 =><8=0;L=>5  <8=CA 459AB28B5;L=>5): 2E = %=><  %4. "5?5@L ?>A<>B@8< =0 ?@02K9 @8AC=>:. CABL 2E>4=>9 A83=0; 8<55B =5:>B>@>5 459AB28B5;L=>5 7=0G5=85 %4. 0 2KE>45 5<C A>>B25BAB2C5B A83=0; A> 7=0G5=85< Y87<, :>B>@>5 <>6=> 87<5@8BL. =0G5=85 65 2KE>4=>3> A83=0;0 Y=>< <>6=> 5IQ =0720BL 8450;L=K<: >=> 1K;> 1K =0 2KE>45, 5A;8 1K ?@5>1@07>20B5;L 1K; 157 ?>3@5H=>AB59.  =5:>B>@>< A<KA;5 >=> 0=0;>38G=> 459AB28B5;L=><C, 0 B>G=55 3>2>@O, 8AB8==><C 7=0G5=8N 2 A;CG05 87<5@8B5;L=>3> ?@81>@0: ?@81>@ ?>:070; 1K MB> 7=0G5=85, 5A;8 1K >= 1K; 157 ?>3@5H=>AB59. 1A>;NB=0O ?>3@5H=>ABL =0 2KE>45 (87<5@5==>5 <8=CA 459AB28B5;L=>5  2 40==>< A;CG05 =><8=0;L=>5): 2KE = Y87<  Y=><. 1.4. 84K 8 <5B>4K 87<5@5=89 84K 87<5@5=89: @O<K5 >A25==K5 !>2>:C?=K5 !>2<5AB=K5 @O<K5  8A:><>5 7=0G5=85 D878G5A:>9 25;8G8=K ?>;CG0NB =5?>A@54AB25==> 87 >?KB0. @8<5@K: 87<5@5=85 4;8=K ;8=59:>9; 87<5@5=85 B>:0 0<?5@<5B@>< 8 B.?., B.5. 2A5 >1KG=K5 87<5@5=8O. >A25==K5  8A:><>5 7=0G5=85 D878G5A:>9 25;8G8=K 2KG8A;ONB =0 >A=>20=88 8725AB=>9 7028A8<>AB8 MB>9 25;8G8=K >B =5A:>;L:8E 4@C38E, 7=0G5=8O :>B>@KE ?>;CG5=K ?@O<K<8 87<5@5=8O<8. @8<5@: 2KG8A;5=85 A>?@>B82;5=8O R ?> 87<5@5==K< 7=0G5=8O< =0?@O65=8O U 8 B>:0 I. 0<5G0=85: 87<5@5=85 A>?@>B82;5=8O ><<5B@><  MB> ?@O<>5 87<5@5=85. !>2>:C?=K5 8 A>2<5AB=K5  >4=>2@5<5==>5 87<5@5=85 =5A:>;L:8E 25;8G8= 8 =0E>645=85 8A:><KE 7=0G5=89 ?CBQ< @5H5=8O A8AB5<K C@02=5=89. @8 A>2>:C?=KE 87<5@O5<K5 25;8G8=K >4=>8<Q==K5, ?@8 A>2<5AB=KE  =5 >4=>8<Q==K5. @8<5@ A>2>:C?=KE 87<5@5=89:   45AL R1; R2; R3  8A:><K5 A>?@>B82;5=8O. "@5C3>;L=8: @07@K20BL =5;L7O. 7<5@ONB A>?@>B82;5=8O RAB ; RBC; RAC <564C B>G:0<8 , , !, A>AB02;ONB A8AB5<C B@QE C@02=5=89 A B@5<O =58725AB=K<8 8 =0E>4OB R1; R2; R3. @8<5@ A>2<5AB=KE 87<5@5=89: R = R0(1 + ), 345 R  A>?@>B82;5=85 ?@8 B5<?5@0BC@5 ; R0  7=0G5=85 R ?@8  = 0;   B5<?5@0BC@=K9 :>MDD8F85=B. A:><K<8 O2;ONBAO R0 8 . 7<5@ONB 420 7=0G5=8O R: R = R1 ?@8  = 1 8 R = R2 ?@8  = 2. 5H5=85 A8AB5<K 42CE C@02=5=89 R1 = R0(1 + 1) R2 = R0(1 + 2) 40QB 8A:><K5 7=0G5=8O R0 8 . A;8 R = R0(1 +  + 2), B> 4;O =0E>645=8O R0;  8  =C6=K B@8 C@02=5=8O. 0<5G0=85. =>340 A>2>:C?=K5 8 A>2<5AB=K5 87<5@5=8O AG8B0NB G0AB=K<8 A;CG0O<8 :>A25==KE. 5B>4K 87<5@5=89: 5B>4 =5?>A@54AB25==>9 >F5=:8 (<5@0 2 O2=>< 2845 =5 ?@8ACBAB2C5B, >=0 >B@065=0 2 H:0;5). @8<5@K: ?@C68==K5 25AK, 0<?5@<5B@ A> AB@5;:>9 8 H:0;>9 8 B.?. 5B>4K A@02=5=8O A <5@>9 (>=0 ?@8ACBAB2C5B 2 O2=>< 2845):  =C;52>9 <5B>4;  48DD5@5=F80;L=K9 <5B>4;  <5B>4 70<5I5=8O;  <5B>4 A>2?045=89. 5B>4K A@02=5=8O A <5@>9 1>;55 B>G=K5, => 8 1>;55 <54;5==K5. C;52>9 <5B>4. 07=>ABL <564C 87<5@O5<>9 25;8G8=>9 8 25;8G8=>9, 2>A?@>872>48<>9 <5@>9, 4>2>48BAO 4> =C;O. @8<5@K: @KG06=K5 25AK A 38@O<8; @02=>25A=K9 <>AB; :><?5=A0B>@. 02=>25A=K9 <>AB ?>AB>O==>3> B>:0: 7<5=5=85< R1 C@02=>25H820NB <>AB, B.5. 4>1820NBAO >BACBAB28O B>:0 2 =C;L-8=48:0B>@5 . 53:> ?>:070BL, GB> ?@8 MB>< Rx R2 = R1 R3. BAN40 87<5@O5<>5 A>?@>B82;5=85 Rx =  EMBED Equation.3 . 1@0B8B5 2=8<0=85, GB> ?@8 87>1@065=88  =0 AE5<0E AB@5;:C 2=CB@8 >:@C6=>AB8 @8ACNB 25@B8:0;L=>.  8DD5@5=F80;L=K9 <5B>4. 07=>ABL <564C 87<5@O5<>9 25;8G8=>9 8 25;8G8=>9, 2>A?@>872>48<>9 <5@>9, 87<5@O5BAO ?@81>@>< =5?>A@54AB25==>9 >F5=:8. @8<5@K: ?@C68==K5 25AK A <0;5=L:>9 ?;0BD>@<>9, =0 :>B>@CN AB02OB 38@N, :>340 <0AA0 =0 1>;LH>9 ?;0BD>@<5 ?@52KH05B 480?07>= 87<5@5=8O ?> H:0;5; =5@02=>25A=K9 <>AB. 5@02=>25A=K9 <>AB ?>AB>O==>3> B>:0:  ?@8 R = 0 87<5=5=85< R1 <>AB C@02=>25H5= ?@8 R0R2 = R1R3; 40;55 ?@8 R `" 0 7=0G5=85 R ?@5>1@07C5BAO 2 B>: I. 5@02=>25A=K5 <>ABK H8@>:> ?@8<5=ONBAO ?@8 87<5@5=88 =5 M;5:B@8G5A:8E 25;8G8=. 7<5@O5<0O 25;8G8=0 ?@5>1@07C5BAO 2 R 87<5@8B5;L=K< ?@5>1@07>20B5;5<. 0?@8<5@, B5<?5@0BC@0 ?@5>1@07C5BAO 2 87<5=5=85 A>?@>B82;5=8O B5@<>@578AB>@0. 5B>4 70<5I5=8O. 7<5@O5<CN 25;8G8=C 70<5I0NB 8725AB=>9, 8 87<5@ONB ?>>G5@Q4=>. @8<5@: Rx  8A:><>5 A>?@>B82;5=85; R0  8725AB=>5. >>G5@Q4=> 87<5@ONB =0?@O65=8O Ux 8 U0.   EMBED Equation.3 ; Rx = R0 EMBED Equation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quation.3 = 0,083 %, B.5 ?@8<5@=>  EMBED Equation.3  >B >,?. 1.5.2. 0?8AL @57C;LB0B0 87<5@5=8O. @8<5@ 1. I = (15,40 0,14) A; P = 1 I = (15,400 0,075) A; P = 0,95  MB8E 70?8AOE 15,40  8 15,400   @57C;LB0B 87<5@5=8O; 0,14   ?@545;L=K5 7=0G5=8O ?>3@5H=>AB8 87<5@5=8O ?@8 25@>OB=>AB8  = 1; 0,075   3@0=8G=K5 7=0G5=8O ?>3@5H=>AB8 87<5@5=8O ?@8 25@>OB=>AB8  = 0,95. =B5@?@5B0F8O: 25@>OB=>ABL B>3>, GB> 8AB8==>5 7=0G5=85 B>:0 I8AB 4p0  8 t @ d L b d f x z BZHDĽĝĝĝĝĝĝĝąċċċċċċċċ hcNHhJ hh3^ hhch hhhChD5 hC5hCh5 hcPhchchmH sH hDhc5CJ NHaJ hDhc5CJ aJ hc5CJ$aJ$hcPhc5CJ$aJ$268:<>@BDFHJLNnp$a$gdc܄2  v f f \JF$& $^a$gd3^$a$gd3^$a$gdc"F0f<*FHJh(6PN|Nd ɿh4b=hc5CJ$aJ$ hcPh4b=h h h0h4b=hch4b= h3^hch3^@B*phhr@B*\phh3^@B*\phh3^@B*\phhJh3^hr hJh3^7&h>HJ~gd31$+-DM ]+a$gd4b=$a$gd4b=$-DM a$gd3^$a$gd3^468Bnr|Z\`b46`¾yqqqia[WhB huhNHhuhhuh6hswhuh6jhuhU huhh( huhhuhB*CJ(aJ(ph+jhuhB*CJ(UaJ(mHnHphuh( B*CJ(aJ(phh( B*CJ(aJ(phh( h( 5h+=Dh+=D5h( 5CJ$aJ$hQ5CJ$aJ$h315CJ$aJ$hrh5CJ$aJ$h 5CJ$aJ$ 68pr\d,DFZ\>! $ & Fa$gde0$a$gde0$a$gde0 gd+=Dgd( gd31`bdrz|~hj: < !!!!!!!!!J"ǿ嬤嬋 hk {NHhk { hWS16 hWS1NHhWS1hWS16NHhWS1hWS16hWS1hB he06 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$`a$gdZ$a$gd&.$a$gdV3T$a$gd"%$%l%%%4&6&<&R&T&&'`'b'l'n'~'''( ("(,(.(0(2(4(8(@(F(N(P(((((())~))))))))))** ++++(,*,,,,,-- -----ннٷٷٷٷٷٲ٪h{\dmH sH  h{\dH* h{\dNHhn*mH sH  hn*H* hn*NHhn* h&.H*h{\d hn.NH hn.H*hn.mH sH hZhn.h&.hV3TC- -&-(-*-,-d-f-h----\.^..B/D/F/X///n0p000*1,1416181F1H1J1L11233333H4T4V4~z~rhwmH sH hQ%hwjhwUmHnHu hzhx1h$Dhl56hl5 hx1hx1hx1mH sH  hx1NHh$Dhx16hx1 hzNHh$Dhz6h$Dhz5 hr5 hz5 hn*hzhzh&= h{\dH*h{\dmH sH +-.D/F/0L11123334H56676888:8<8v8x88$a$gdJQJgdw$a$gdQ%gdQ%$a$gdw$a$gdO<$a$gdzV4X4Z4\4^4`4d4f4h4j44444455555555566p6667R7777888 8"8$8&8(8,8.8082848<8t8v8x88ļĵļծժյժ͢՛͖բ͖յՊhJQJmH sH h hJQJH*hJQJ hQ%H* hwhQ%hwhQ%H*hZ hQ%hr hQ%hQ%hQ%hQ%H*hQ%H*mH sH hQ%mH sH hQ% hwNH hwH*hwmH sH  hwhwhwhwhwH*388888888888888889 9 999"9$9.90999999999999999999999999999999:: ::::T:V:X:Z:\:d:f:ɾɶɶɾɶɱɱɨh H*mH sH  h H*h h H* h h hZh mH sH  hJQJNHhJQJhJQJH* hJQJhJQJhJQJh hJQJmH sH hJQJH*mH sH B88`99V:X:z:::::;;t;v;(<*<P<R<==>N> $^a$gd`) $ & Fa$gd+Et$a$gd+Et$a$gd $a$gd $a$gdJQJ$a$gdJQJf:j:l:n:p:t:v:x:z:|:~:::::::::::::::::::::::;; ; ;;6;8;:;>;@;v;<<*<6<:<P<R<`<<<=====>ͽ͗͝͝͝͝ h+EtNHh`)h$Dh+Et5H*h$Dh+Et5h+EtCJNHaJh+EtCJaJhJQJh+EtH*h+Et h+EtH*h+EtmH sH hJQJh H*h H*mH sH  h H*h h mH sH ;>>L>N>?:???t@v@@@@@@@@@@@AAAAAAAAAAAAAAAAAAABB BBBBB>Bļ̧̯⧏⧞jh'+U h'+NHh'+h'+H* h'+h'+h'+H*mH sH h'+mH sH  hZNH hZhZhZhZH*hZmH sH hZjh'+UmHnHuh.h'+ h`)NH h`)6h h`) h+Eth`).N>v>>>???t@v@@@AHB CCCCC0DxEzEEEEFzH|H$a$gdJQJ$a$gd gd'+$a$gd >B@BBBDBFBHBBB CCCCCDCCC`DDDvExEEEEEEEEEEEE.F0F2F4F6F´¬|xtltld_tldld h.H*h.h.H*h.mH sH h.h jh.UmHnHu h h h.h hNHh h|S\NHh|S\h|S\h|S\6jhUmHnHuh. h2NHh2 h'+h'+h'+jh'+Uj{h'+h'+EHUj՗D h'+CJUVaJ$6FF@FBFDF\F`FbF|FFFFFFFRGTGGGGGGGLHNHxHzH~HHHHHII,I.I0I2I8IfIhIjIlInIpIIIIIIIIIѼѳᳯhv9hv9H* hv9hv9hv9H*mH sH hv9mH sH hv9hD h6 h2hh2mH sH  h2NHh2hJQJhmH sH hh.h.h.H*h.mH sH  h.h.5|H~HIIIIjJJKKVLMMNNrNtNOOOPPPrRtR`VVV $`a$gd$a$gdJQJIIIIIIJJJJ J"J*J,J.JTJVJXJZJ\JhJjJ~JJJJJK4KFMijӪӪzumhd\UdPd hv96 hv9hv9hv9mH sH hv9 hDH*hv9hDH* hv9H*$j.hDhv9EHH*UmH sH j\D hv9CJUVaJjhDH*UmH sH hDH*mH sH !jhDhDEHUmH sH jD hDCJUVaJhDmH sH jhDUmH sH jhDUmHnHuhD hv9hDFMMMNpNrNtNOOOOPPPPPP6PPPQzQ|QpRrRtRRRRRXFXHXnXpXrXtXXXXXXXXXXX2Y4Y6YBYFYLYNYYYYYöߧߒqibib hGXh4Xh4XmH sH jh4XUmHnHuhNh4Xhd"hd"mH sH hkmH sH j@hkhkEHUjD hkCJUVaJjhkhkEHUj'D hkCJUVaJjhkU hkH*hk h(NH h(H*h( hC.NHhC.hF&YYYYYYY0Z2ZZZZZZ4[6[[[[[BBBBBBBB C C"C$C&CzC|CCCCCDDDHDJDVDZDFELENEh% h% 6h`KmH sH  hkhk h`KhN hGXh`K h`KNHjh`KUmHnHuh`KhNhGXhGXNHU hGXH*hGXmH sH  hGXhGX hGXNHh4XhGX hGXh4Xh4XmH sH 1=0E>48BAO 2 8=B5@20;5 >B 15,26  4> 15,54  @02=0 1; 25@>OB=>ABL B>3>, I8AB =0E>48BAO 2 8=B5@20;5 >B 15,325  4> 15,475  @02=0 0,95. @8<5@ 2. @0=8G=K5 7=0G5=8O ?>3@5H=>AB8 87<5@5=8O 2KG8A;5=K 8 A>AB02;ONB 0,0253  ?@8 25@>OB=>AB8  = 0,95. 0?8AL: (41,535 0,025) ;  = 0,95. @028;0: 1) '8A;>, 2K@060NI55 ?@545;L=K5 8;8 3@0=8G=K5 7=0G5=8O ?>3@5H=>AB8 87<5@5=8O, 4>;6=> A>45@60BL 425 7=0G0I8E F8D@K. @8<5@: G8A;0 0,14 8 0,014 8<5NB 425, 0 G8A;> 0,140  B@8 7=0G0I8E F8D@K. @8<5G0=8O: 0)  ;8B5@0BC@5 <>6=> 2AB@5B8BL 4@C385 @5:><5=40F88: >4=0 8;8 425 F8D@K, ?@8GQ<, 5A;8 ?5@20O 1 8;8 2 (8=>340 5IQ 8;8 3), B> 425 >1O70B5;L=>. K CA;>28<AO: 2A5340 425  MB> ?@>I5 8 =5 CEC4H05B. 1)  ?@>F5AA5 2KG8A;5=89 =04> A>E@0=OBL <8=8<C< B@8 F8D@K, 8 B>;L:> 2 :>=F5 >:@C3;OBL 4> 42CE. 2) '8A;>, 2K@060NI55 @57C;LB0B 87<5@5=8O, 4>;6=> >:0=G820BLAO F8D@>9 B>3> 65 @07@O40, GB> 8 7=0G5=85 ?>3@5H=>AB8. @8<5@: 70?8AL (15,4 0,14)  =5 25@=0, 0 (15,40 0,14)   25@=0. 3) :@C3;5=85 G8A5;, 2K@060NI8E @57C;LB0B 8 ?>3@5H=>ABL 87<5@5=8O, =04> ?@>872>48BL ?> >1KG=K< ?@028;0<: 5A;8 ?5@20O 87 >B1@0AK205<KE F8D@ <5=LH5 ?OB8, >AB0NI85AO F8D@K =5 <5=ONBAO, 5A;8 65 >=0 1>;LH5 8;8 @02=0 ?OB8, B> ?>A;54=OO 87 >AB0NI8EAO F8D@ C25;8G8205BAO =0 548=8FC. 1.5.3. KG8A;5=85 ?>3@5H=>AB59 87<5@5=89. @O<K5 87<5@5=8O. 0) @8 25@>OB=>AB8  = 1 =0E>4OB ?@545;L=K5 7=0G5=8O ?>3@5H=>AB8 87<5@5=8O ? ?CBQ< 0@8D<5B8G5A:>3> AC<<8@>20=8O ?@545;L=KE 7=0G5=89 A>AB02;ONI8E i,?: ? =  EMBED Equation.3 . (20) !>AB02;ONI8<8 <>3CB 1KBL:  >A=>2=0O ?>3@5H=>ABL >,?;  4>?>;=8B5;L=K5 ?>3@5H=>AB8 4,?;  ?>3@5H=>ABL >BAG8BK20=8O >BA,?;  ?>3@5H=>ABL 2708<>459AB28O 27,?. @8 B0:>< A?>A>15 AC<<8@>20=8O ?;>E> B>, GB> ?>;CG05BAO A8;L=>5 702KH5=85 ?>3@5H=>AB8, 81> >G5=L <0;> 25@>OB=>, GB>1K 2A5 A>AB02;ONI85 >:070;8AL =0 A2>8E ?@545;0E 8 1K;8 ?@8 MB>< >4=>3> 8 B>3> 65 7=0:0 (?;NA 8;8 <8=CA). 0B> MB>B A?>A>1 40QB ?>;=CN 30@0=B8N. 1) @8 25@>OB=>AB8  < 1, =0?@8<5@, ?@8  = 0,95, =0E>4OB 3@0=8G=K5 7=0G5=8O ?>3@5H=>AB8 87<5@5=8O 3@ ?CBQ< AB0B8AB8G5A:>3> AC<<8@>20=8O ?@545;L=KE 7=0G5=89 A>AB02;ONI8E i,?: 3@ =  EMBED Equation.3 . (21) =0G5=85  7028A8B >B 70:>=>2 @0A?@545;5=8O A;CG09=KE 25;8G8= i 8 >B 7040205<>3> 7=0G5=8O 25@>OB=>AB8 . A;8 70:>=K @0A?@545;5=8O =58725AB=K, @5:><5=4C5BAO ?@8=OBL, GB> 4;O 2A5E A>AB02;ONI8E MB> 70:>= @02=><5@=>9 ?;>B=>AB8. @8 MB>< 87 B5>@88 25@>OB=>AB59 A;54C5B, GB> 7=0G5=8O  ?@8 @07=KE 7=0G5=8OE  A>>B25BAB2CNB ?@8254Q==K< 2 B01;8F5 1: "01;8F0 1. 0,90,950,990,951,11,4 =0G5=85 3@ <>65B 1KBL ACI5AB25==> <5=LH5 ?> A@02=5=8N A ?, E>BO  1;87:> : 548=8F5. 0:A8<0;L=>5 A=865=85 3@ ?> A@02=5=8N A ? 1C45B, 5A;8 2A5 i,? >48=0:>2K: i,? =. @8  = 1 ?>;CG8< ? = nA, 0 ?@8  < 1 3@ =  EMBED Equation.3 =  EMBED Equation.3 , B.5.  EMBED Equation.3  =  EMBED Equation.3  =0?@8<5@, ?@8 n = 4 8  = 1,1 @07;8G85 <564C ?@545;L=K< 8 3@0=8G=K< 7=0G5=8O<8 ?>;CG05BAO ?@8<5@=> 2 420 @070. A;8, =0>1>@>B, :0:0O-=81C4L 87 i A8;L=> ?@5>1;0405B =04 >AB0;L=K<8, B> 3@ H" ?. >A25==K5 87<5@5=8O. ;O 2KG8A;5=8O ?>3@5H=>AB8 <K @0A?>;0305< 8725AB=>9 DC=:F8>=0;L=>9 7028A8<>ABLN @57C;LB0B0 :>A25==>3> 87<5@5=8O Y >B 0@3C<5=B>2 %1; %2;& %n: Y = f (%1; %2;& %n). @8<5@: R =  EMBED Equation.3 745AL Y = R; %1 = U; X2 = I. "@51C5BAO =09B8 ?>3@5H=>ABL Y, ?@>8AE>4OICN >B ?>3@5H=>AB59 %1; %2;& %n. #?@>AB8< >1>7=0G5=8O: Y = ; %1 = 1; %2 = 2;& %n = n. ;O @5H5=8O =0H59 7040G8 2 <0B5<0B8:5 5ABL B.=. D>@<C;0 ?>;=>3> 48DD5@5=F80;0:  EMBED Equation.3 . (22) @545;L=K5 7=0G5=8O :  EMBED Equation.3   = 1. (23) '0AB=K5 A;CG08. 1) Y = a1X1 + a2X2 +...+anXn =  EMBED Equation.3 , B.5. Y  ;8=59=0O DC=:F8O 0@3C<5=B>2 %1; %2;& %n.  40==>< A;CG05  EMBED Equation.3 , A;54>20B5;L=>,  EMBED Equation.3 8  EMBED Equation.3 . (24) @8<5@K: 0) Y = X1 + X2; 745AL a1 = 02 = 1;  = 1 + 2; ? = (|1,?| + |2,?|);  = 1. 1) Y = X1  X2; 745AL a1 = 1; 02 =  1;  = 1  2; ? = (|1,?| + |2,?|);  = 1. B0:, ? 4;O AC<<K 8 @07=>AB8 >48=0:>2K. 2) Y =  EMBED Equation.3  345 01; 02;& 0n  459AB28B5;L=K5 G8A;0, ?>;>68B5;L=K5 8 >B@8F0B5;L=K5, F5;K5 8 4@>1=K5. @8<5@: Y =  EMBED Equation.3 ; 745AL 01 = 2; 02 =  0,5. '0AB=K5 ?@>872>4=K5:  EMBED Equation.3  0;55:  EMBED Equation.3  !;54>20B5;L=>,  = Y(a11 + a22 + ...+ ann);  =  EMBED Equation.3 . @545;L=K5 7=0G5=8O:  EMBED Equation.3  (25) @8<5@K: 0) Y = X1X2; 745AL 01 = 02 = 1;  = 1 + 2; ? = (|1,?| + |2,?|); P =1. 1) Y =  EMBED Equation.3  745AL 01 = 1; a2 =  1;  = 1  2; ? = (|1,?| + |2,?|); P =1. B0:, ? 4;O ?@>872545=8O 8 G0AB=>3> >48=0:>2K. 1J548=OO =0H8 G5BK@5 ?@8<5@0, <>6=> A:070BL B0:: ;O AC<<K 8 @07=>AB8 =04> AC<<8@>20BL ?@545;L=K5 7=0G5=8O 01A>;NB=KE ?>3@5H=>AB59, 4;O ?@>872545=8O 8 G0AB=>3>  ?@545;L=K5 7=0G5=8O >B=>A8B5;L=KE ?>3@5H=>AB59. K @0AA<>B@5;8 0@8D<5B8G5A:>5 AC<<8@>20=85 ?@8  = 1. @8  < 1 ?@8<5=ONB AB0B8AB8G5A:>5 AC<<8@>20=85:  EMBED Equation.3 , (26) 345  7028A8B >B 7040205<>3> 7=0G5=8O 25@>OB=>AB8  B0: 65, :0: ?@8 ?@O<KE 87<5@5=8OE (A<. B01;. 1). 064K9 <>65B =0?8A0BL D>@<C;K 4;O 3@ 4;O @0AA<>B@5==KE 2KH5 G0AB=KE A;CG052. @8<5@. "@51C5BAO >?@545;8BL <>I=>ABL , 2K45;ONICNAO 2 @578AB>@5 A =><8=0;L=K< 7=0G5=85< A>?@>B82;5=8O R=>< = 1 :< A ?@545;L=> 4>?CA:05<K<8 >B:;>=5=8O<8 >B MB>3> =><8=0;0 1,0 %. 578AB>@ ?>4:;NGQ= : 8AB>G=8:C =0?@O65=8O ?>AB>O==>3> B>:0. 0@0;;5;L=> @578AB>@C ?>AB>O==> ?>4:;NGQ= 2>;LB<5B@ :;0AA0 B>G=>AB8 0,5 A 480?07>=>< 87<5@5=8O >B 0 4> 15  8 >= ?>:07K205B 7=0G5=85 =0?@O65=8O U = 6,0 . 5H5=85.  =  EMBED Equation.3 6210-3 B = 0,036 B = 36 <B.  A>>B25BAB288 A (25) ? = 2 U,? + R,?, 345 U,? 8 R,?  ?@545;L=K5 >B=>A8B5;L=K5 ?>3@5H=>AB8 2>;LB<5B@0 8 @578AB>@0. 7 CA;>28O R,? = 1,0 %, 0 U,? = U,?UN/U = 0,515/6 = 1,25 %. !;54>20B5;L=>, ? = (21,25 + 1,0) = 3,5 %; ? = 0,01 ?  = 0,013,525 = 0,875 <B H" 0,86 <B. B25B: (36,00 0,86) <B ?@8 25@>OB=>AB8 1. 2. !" 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