ࡱ> $&% !"#OvK ] q 5@Hbjbj227,XX"y  GGG8FGlM)rN?N"ppIII8::::::$R1^I͑|III^pIVpL8I8x{R`6fN y %G&<0)< IIIIIII^^d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quation.3  O2;O5BAO M;5<5=B>< <=>65AB20  EMBED Equation.3 , 70?8AK205BAO, :0:  EMBED Equation.3 . =0:  EMBED Equation.3  =07K20NB 7=0:>< 2:;NG5=8O. 0?8AL  EMBED Equation.3  (8;8  EMBED Equation.3 ) >7=0G05B, GB>  EMBED Equation.3  =5 O2;O5BAO M;5<5=B>< <=>65AB20  EMBED Equation.3 . C45< AG8B0BL, GB> <K 2K1@0;8 8 70D8:A8@>20;8 4>AB0B>G=> H8@>:>5 <=>65AB2>, 70 ?@545;K :>B>@>3> =5 1C45< 2KE>48BL. -;5<5=BK 2A5E <=>65AB2, :>B>@K5 <K 1C45< @0AA<0B@820BL, >4=>2@5<5==> O2;ONBAO M;5<5=B0<8 MB>3> H8@>:>3> D8:A8@>20==>3> <=>65AB20, =07K205<>3> C=825@A0;L=K< <=>65AB2>< (4;O MB>3> <=>65AB20 1C45< ?@8<5=OBL >1>7=0G5=85  EMBED Equation.3 ). >2>@OB, GB> <=>65AB2>  EMBED Equation.3  7040=>, 5A;8 >B=>A8B5;L=> ;N1>3> M;5<5=B0  EMBED Equation.3  <>6=> A:070BL, ?@8=04;568B >= 8;8 =5 ?@8=04;568B <=>65AB2C  EMBED Equation.3 . 1KG=> <=>65AB2> 70405BAO C:070=85< E0@0:B5@8AB8G5A:>3> A2>9AB20 53> M;5<5=B>2, B.5. B0:>3> A2>9AB20, :>B>@K< >1;040NB 2A5 M;5<5=BK 40==>3> <=>65AB20 8 B>;L:> >=8. =>65AB2>  EMBED Equation.3  M;5<5=B>2  EMBED Equation.3 , >1;040NI8E A2>9AB2><  EMBED Equation.3 , A8<2>;8G5A:8 70?8AK20NB 2 2845  EMBED Equation.3 . 0?@8<5@, 70?8AL  EMBED Equation.3  >7=0G05B, GB> <=>65AB2>  EMBED Equation.3  A>AB>8B 87 G5B=KE ?>;>68B5;L=KE G8A5; 2, 4, 6, 8, & . =>65AB2>  EMBED Equation.3  =07K20NB ?>4<=>65AB2>< 4@C3>3> <=>65AB20  EMBED Equation.3 , 5A;8 :064K9 M;5<5=B <=>65AB20  EMBED Equation.3  O2;O5BAO >4=>2@5<5==> M;5<5=B>< <=>65AB20  EMBED Equation.3 .  MB>< A;CG05 ?8HCB  EMBED Equation.3  8;8  EMBED Equation.3 . =0:8  EMBED Equation.3  8  EMBED Equation.3  B0:65 =07K20NB 7=0:0<8 2:;NG5=8O. @8<5@. ;O =5:>B>@KE >A>1> 206=KE <=>65AB2 ?@8=OBK AB0=40@B=K5 >1>7=0G5=8O, :>B>@KE AB>8B ?@845@6820BLAO:  EMBED Equation.3   <=>65AB2> =0BC@0;L=KE G8A5;,  EMBED Equation.3   <=>65AB2> F5;KE G8A5;,  EMBED Equation.3   <=>65AB2> @0F8>=0;L=KE G8A5;,  EMBED Equation.3   <=>65AB2> 459AB28B5;L=KE (25I5AB25==KE) G8A5;. <55B <5AB> B0:>5 ?>A;54>20B5;L=>5 2:;NG5=85:  EMBED Equation.3 . =>65AB20  EMBED Equation.3  8  EMBED Equation.3  =07K20NBAO @02=K<8 (?8HCB  EMBED Equation.3 , 5A;8  EMBED Equation.3  8  EMBED Equation.3 , B.5. 5A;8 MB8 <=>65AB20 A>AB>OB 87 >4=8E 8 B5E 65 M;5<5=B>2. =>65AB2>, =5 A>45@60I55 =8 >4=>3> M;5<5=B0, =07K205BAO ?CABK< 8 >1>7=0G05BAO A8<2>;><  EMBED Equation.3 . @8<5@0<8 ?CABKE <=>65AB2 O2;ONBAO: <=>65AB2> B@5C3>;L=8:>2, 4;8=K AB>@>= :>B>@KE @02=K 2A<, 3 A<, 7 A<; <=>65AB2> @0F8>=0;L=KE G8A5;, :204@0B :>B>@KE @025= 2; <=>65AB2> @5H5=89 A8AB5<K C@02=5=89  EMBED Equation.3 ,  EMBED Equation.3  @8=OB> AG8B0BL, GB> ?CAB>5 <=>65AB2> ?@8=04;568B 2 :0G5AB25 ?>4<=>65AB20 ;N1><C <=>65AB2C; >G5284=>, B0:65  EMBED Equation.3 .  EMBED Equation.3  8  EMBED Equation.3  =07K20NB =5A>1AB25==K<8 ?>4<=>65AB20<8 <=>65AB20  EMBED Equation.3 , 2A5 >AB0;L=K5 ?>4<=>65AB20 <=>65AB20  EMBED Equation.3  =07K20NB A>1AB25==K<8. ;O @0AAC645=89 > <=>65AB20E ?>;57=> ?@82;5GL =03;O4=K5 AE5<K, =07K205<K5 4803@0<<0<8 -9;5@0 (8;8 -9;5@0-5==0). 1J548=5=85< (8=>340 3>2>@OB  AC<<>9) <=>65AB2  EMBED Equation.3  8  EMBED Equation.3  =07K20NB <=>65AB2>, A>AB>OI55 87 2A5E M;5<5=B>2, ?@8=04;560I8E E>BO 1K >4=><C 87 <=>65AB2  EMBED Equation.3  8  EMBED Equation.3 :  EMBED Equation.3 .  B5>@88 25@>OB=>AB59 8A?>;L7CNB >1>7=0G5=85  EMBED Equation.3 . >=OB85 >1J548=5=8O >1>1I05BAO =0 A;CG09 15A:>=5G=>3> G8A;0 <=>65AB2. A;8 40=K <=>65AB20  EMBED Equation.3 , B> A8<2>;8G5A:0O 70?8AL  EMBED Equation.3  >7=0G05B >1J548=5=85 40==KE <=>65AB2, B.5. <=>65AB2>, :064K9 M;5<5=B :>B>@>3> ?@8=04;568B E>BO 1K >4=><C 87 40==KE <=>65AB2. @8<5@ 1. 1J548=5=85 <=>65AB20 ?>;>68B5;L=KE G5B=KE G8A5; 8 <=>65AB20 ?>;>68B5;L=KE =5G5B=KE G8A5; 5ABL <=>65AB2> =0BC@0;L=KE G8A5;. @8<5@ 2.  EMBED Equation.3 . @8<5@ 3. 0G5@G5= >B@57>:  EMBED Equation.3  4;8=>9 2 A<. 0AA<0B@8205BAO =0 ?;>A:>AB8 <=>65AB2> 2A5E 25@H8= B0:8E @02=>154@5==KE B@5C3>;L=8:>2 A >A=>20=85<  EMBED Equation.3 , ?;>I048 :>B>@KE =5 <5=LH5, G5< 1 A<2. -B> <=>65AB2> O2;O5BAO >1J548=5=85< 42CE E>@>H> 8725AB=KE 20< D83C@. 0:8E? (B25B. 1J548=5=85 42CE ;CG59, ?5@?5=48:C;O@=KE :  EMBED Equation.3 ; @0AAB>O=85 >B =0G0;0 :064>3> ;CG0 4>  EMBED Equation.3  @02=> 1 A<). @8<5@ 4. 064K9 B@5C3>;L=8: <K A515 1C45< ?@54AB02;OBL :0: <=>65AB2> B>G5:, ;560I8E 2=CB@8 MB>3> B@5C3>;L=8:0 8;8 =0 53> 3@0=8F5. 'B> A>1>9 ?@54AB02;O5B >1J548=5=85 2A5E ?@028;L=KE B@5C3>;L=8:>2, 2?8A0==KE 2 40==CN >:@C6=>ABL? (B25B. @C3, >3@0=8G5==K9 40==>9 >:@C6=>ABLN). 5@5A5G5=85< (8=>340 3>2>@OB  ?@>872545=85<) <=>65AB2  EMBED Equation.3  8  EMBED Equation.3  =07K20NB <=>65AB2> 2A5E M;5<5=B>2, ?@8=04;560I8E >4=>2@5<5==> 8 <=>65AB2C  EMBED Equation.3  8 <=>65AB2C  EMBED Equation.3 , B.5. <=>65AB2> 2A5E 8E >1I8E M;5<5=B>2:  EMBED Equation.3 .  B5>@88 25@>OB=>AB59 ?@8=OB> >1>7=0G5=85  EMBED Equation.3 . ;O 15A:>=5G=>3> =01>@0 <=>65AB2  EMBED Equation.3  A8<2>;  EMBED Equation.3  >1>7=0G05B 8E ?5@5A5G5=85, B.5. <=>65AB2>, :064K9 M;5<5=B :>B>@>3> ?@8=04;568B 2A5< 40==K< <=>65AB20<. @8<5@ 5.  EMBED Equation.3 . @8<5@ 6. CABL  EMBED Equation.3   <=>65AB2> 2A5E ?@O<>C3>;L=8:>2,  EMBED Equation.3   <=>65AB2> 2A5E @><1>2. 'B> A>1>9 ?@54AB02;O5B <=>65AB2>  EMBED Equation.3 ? (B25B. =>65AB2> 2A5E :204@0B>2). @8<5@ 7. C45< A515 ?@54AB02;OBL :064K9 ?@O<>C3>;L=8: :0: <=>65AB2>, 0 8<5==>  :0: <=>65AB2> 2A5E B>G5:, ?@8=04;560I8E 53> :>=BC@C 8;8 ;560I8E 2=CB@8 =53>. 0:CN D83C@C >1@07C5B ?5@5A5G5=85 2A5E ?@O<>C3>;L=8:>2, 2?8A0==KE 2 40==CN >:@C6=>ABL? (B25B. &5=B@ :@C30). 07=>ABLN <=>65AB2  EMBED Equation.3  8  EMBED Equation.3  =07K20NB <=>65AB2> B5E M;5<5=B>2 87  EMBED Equation.3 , :>B>@K5 =5 A>45@60BAO 2  EMBED Equation.3 :  EMBED Equation.3 . 07=>ABL  EMBED Equation.3 , 345  EMBED Equation.3   C=825@A0;L=>5 <=>65AB2>, =07K205BAO 4>?>;=5=85< <=>65AB20  EMBED Equation.3  8 >1>7=0G05BAO A8<2>;><  EMBED Equation.3 . 2. 5:0@B>2> ?@>872545=85. CABL  EMBED Equation.3  8  EMBED Equation.3   ?@>872>;L=K5 <=>65AB20. 0@C  EMBED Equation.3  M;5<5=B>2  EMBED Equation.3 ,  EMBED Equation.3 , 27OBKE 2 C:070==>< ?>@O4:5, 1C45< =07K20BL C?>@O4>G5==>9 ?0@>9, AG8B0O ?@8 MB><, GB>  EMBED Equation.3  B>340 8 B>;L:> B>340, :>340  EMBED Equation.3 . 5:0@B>2K< ?@>872545=85<  EMBED Equation.3  42CE <=>65AB2  EMBED Equation.3  8  EMBED Equation.3  =07K205BAO <=>65AB2> 2A5E C?>@O4>G5==KE ?0@  EMBED Equation.3 :  EMBED Equation.3 . CABL, =0?@8<5@,  EMBED Equation.3   <=>65AB2> 2A5E 25I5AB25==KE G8A5;. ">340 45:0@B>2 :204@0B  EMBED Equation.3  5ABL ?@>AB> <=>65AB2> 2A5E 45:0@B>2KE :>>@48=0B B>G5: ?;>A:>AB8 >B=>A8B5;L=> 7040==KE :>>@48=0B=KE >A59. =0;>38G=K< >1@07>< <>6=> 1K;> 1K 225AB8 45:0@B>2> ?@>872545=85  EMBED Equation.3  B@5E <=>65AB2, G5BK@5E 8 B.4. @8  EMBED Equation.3  ?8HCB A>:@0I5==>  EMBED Equation.3  2<5AB>  EMBED Equation.3  8 3>2>@OB >1  EMBED Equation.3 -9 45:0@B>2>9 AB5?5=8 <=>65AB20  EMBED Equation.3 . -;5<5=B0<8  EMBED Equation.3  O2;ONBAO C?>@O4>G5==K5 =01>@K  EMBED Equation.3 . " / ($#&). )+ !" 1. 1I85 ?>=OB8O. K 3>2>@8<, GB> 7040=> >B>1@065=85  EMBED Equation.3  <=>65AB20  EMBED Equation.3  2> <=>65AB2>  EMBED Equation.3 , 8 ?8H5<  EMBED Equation.3 , 5A;8 :064><C M;5<5=BC  EMBED Equation.3  87 >1;0AB8 >?@545;5=8O  EMBED Equation.3  A>?>AB02;5= >4=>7=0G=> >?@545;5==K9 M;5<5=B  EMBED Equation.3  87 >1;0AB8 459AB28O  EMBED Equation.3 , =07K205<K9 >1@07>< M;5<5=B0  EMBED Equation.3  ?@8 >B>1@065=88  EMBED Equation.3  (B0:>5 A>?>AB02;5=85 A8<2>;8G5A:8 ?@8=OB> >1>7=0G0BL B0::  EMBED Equation.3 ). @8 MB>< =5 8A:;NG05BAO 2>7<>6=>ABL, GB> >4=><C M;5<5=BC  EMBED Equation.3  >B25G05B ?@8 >B>1@065=88  EMBED Equation.3  =5A:>;L:> M;5<5=B>2  EMBED Equation.3 , B0:8E, GB>  EMBED Equation.3 . >4<=>65AB2>  EMBED Equation.3  2A5E B0:8E M;5<5=B>2 =07K205BAO ?@>>1@07>< M;5<5=B0  EMBED Equation.3  ?@8 >B>1@065=88  EMBED Equation.3  8 >1>7=0G05BAO  EMBED Equation.3 , B.5.  EMBED Equation.3 . >;55 >1I>, >1@07>< <=>65AB20  EMBED Equation.3  ?@8 >B>1@065=88  EMBED Equation.3  =07K205BAO <=>65AB2>  EMBED Equation.3 . @>>1@07>< <=>65AB20  EMBED Equation.3  ?@8 >B>1@065=88  EMBED Equation.3  (>1>7=0G0NB:  EMBED Equation.3 ) =07K205BAO >1J548=5=85 ?@>>1@07>2 2A5E M;5<5=B>2, 2E>4OI8E 2  EMBED Equation.3 , B.5.  EMBED Equation.3 . <5AB> B5@<8=0 >B>1@065=85 G0AB> C?>B@51;ONB B5@<8= >?5@0B>@ (>A>15==> 2 DC=:F8>=0;L=>< 0=0;875 8 ;8=59=>9 0;351@5), 0 B0:65 DC=:F8O (>A>15==> 2 A;CG05, :>340  EMBED Equation.3   G8A;>2>5 <=>65AB2>). B>1@065=85  EMBED Equation.3  =07K20NB B0:65 ?@5>1@07>20=85< <=>65AB20  EMBED Equation.3  (2 A51O). @0D8:>< DC=:F88  EMBED Equation.3  =07K205BAO <=>65AB2> ?0@ 2840  EMBED Equation.3 ,  EMBED Equation.3 . 2. ><?>78F8O DC=:F89 (A;>6=0O DC=:F89). CABL  EMBED Equation.3 ,  EMBED Equation.3 . ><?>78F859 (8;8 AC?5@?>78F859) DC=:F89  EMBED Equation.3  8  EMBED Equation.3  =07K205BAO DC=:F8O, >1>7=0G05<0O  EMBED Equation.3  8 >?@545;O5<0O A;54CNI8< @025=AB2><:  EMBED Equation.3 . @020O G0ABL MB>3> @025=AB20 ?>:07K205B, GB> 7=0G5=85 :><?>78F88 2 B>G:5  EMBED Equation.3  2KG8A;O5BAO 2 @57C;LB0B5 ?>A;54>20B5;L=>3> 459AB28O A=0G0;0  EMBED Equation.3 , 0 70B5< (=0 ?>;CG5==K9 @57C;LB0B) DC=:F88  EMBED Equation.3 . @8<5@. CABL  EMBED Equation.3  8  EMBED Equation.3 ,  EMBED Equation.3  8  EMBED Equation.3 . ">340  EMBED Equation.3 ,  EMBED Equation.3 . >?CB=> <K 4>:070;8, GB> 2> <=>65AB25 DC=:F89, =0 :>B>@KE >?@545;5=K 8  EMBED Equation.3  8  EMBED Equation.3 , :><?>78F8O =5 O2;O5BAO :><<CB0B82=>9 >?5@0F859. 3. "8?K >B>1@065=89. ?@545;5=85. B>1@065=85  EMBED Equation.3  =07K205BAO AN@J5:B82=K< (8;8 >B>1@065=85< =0), 5A;8 :064K9 M;5<5=B 87  EMBED Equation.3  8<55B, ?> :@09=59 <5@5, >48= ?@>>1@07, B.5.  EMBED Equation.3 . @8<5@0<8 AN@J5:B82=KE >B>1@065=89  EMBED Equation.3  O2;ONBAO DC=:F88  EMBED Equation.3 ,  EMBED Equation.3 . ?@545;5=85. B>1@065=85  EMBED Equation.3  =07K205BAO 8=J5:B82=K< (8;8 2;>65=85<), 5A;8 87  EMBED Equation.3  A;54C5B  EMBED Equation.3 , B.5. :064K9 >1@07  EMBED Equation.3  >1;0405B @>2=> >4=8< ?@>>1@07><  EMBED Equation.3 . @8<5@0<8 8=J5:B82=KE >B>1@065=89  EMBED Equation.3  <>3CB A;C68BL <>=>B>==K5 DC=:F88  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3  8 B.4. ?@545;5=85. B>1@065=85  EMBED Equation.3  =07K205BAO 185:B82=K<, 5A;8 >=> >4=>2@5<5==> 8 8=J5:B82=> 8 AN@J5:B82=>. 4. 1@0B8<>ABL >B>1@065=89. CABL  EMBED Equation.3 . 0AA<>B@8< C@02=5=85, ?>@>645==>5 >B>1@065=85<  EMBED Equation.3 :  EMBED Equation.3 , (1) 345  EMBED Equation.3   =58725AB=>5,  EMBED Equation.3   ?0@0<5B@. /A=>, GB> 5A;8  EMBED Equation.3  8=J5:B82=>, => =5 AN@J5:B82=>, B> ACI5AB2CNB B0:85 7=0G5=8O ?0@0<5B@0, ?@8 :>B>@KE C@02=5=85 (1) =5 8<55B @5H5=89, 0 4;O B5E 7=0G5=89 ?0@0<5B@0, ?@8 :>B>@KE C C@02=5=8O 5ABL @5H5=8O, MB> @5H5=85 4;O :064>3> 7=0G5=8O ?0@0<5B@0 548=AB25==>. A;8  EMBED Equation.3  AN@J5:B82=>5 >B>1@065=85, => =5 8=J5:B82=>5, B> C@02=5=85 (1) 8<55B @5H5=8O ?@8 ;N1>< 7=0G5=88 ?0@0<5B@0, 8 ACI5AB2C5B E>BO 1K >4=> B0:>5 7=0G5=85 ?0@0<5B@0  EMBED Equation.3 , ?@8 :>B>@>< C@02=5=85 (1) 8<55B 1>;55 >4=>3> @5H5=8O.  A;CG05, :>340  EMBED Equation.3   185:B82=>5 >B>1@065=85, C@02=5=85 (1) 8<55B ?@8 :064>< 7=0G5=88 ?0@0<5B@0 548=AB25==>5 @5H5=85.  MB>< A;CG05 >B>1@065=85  EMBED Equation.3  >?@545;O5B 4@C3>5 >B>1@065=85  EMBED Equation.3 , :>B>@>5 :064><C M;5<5=BC  EMBED Equation.3  AB028B 2 A>>B25BAB285 @5H5=85 C@02=5=8O (1). -B> @5H5=85 >1>7=0G05BAO  EMBED Equation.3 . B>1@065=85  EMBED Equation.3  =07K205BAO >1@0B=K< 4;O >B>1@065=8O  EMBED Equation.3 . 5B@C4=> C1548BLAO, GB>  EMBED Equation.3  8  EMBED Equation.3 . ?@545;5=85. B>1@065=85  EMBED Equation.3  =07K205BAO >1@0B8<K<, 5A;8 ACI5AB2C5B >B>1@065=85  EMBED Equation.3  B0:>5, GB>  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3 . @8 MB>< >B>1@065=85  EMBED Equation.3  =07K205BAO >1@0B=K< :  EMBED Equation.3 . "5>@5<0 (:@8B5@89 >1@0B8<>AB8). ;O B>3> GB>1K >B>1@065=85  EMBED Equation.3  1K;> >1@0B8<K<, =5>1E>48<> 8 4>AB0B>G=>, GB>1K >=> 1K;> 185:B82=K<. @8<5@. 1)  EMBED Equation.3  =5 O2;O5BAO >1@0B8<K<; 2)  EMBED Equation.3  =5 O2;O5BAO >1@0B8<K<; 3)  EMBED Equation.3  =5 O2;O5BAO >1@0B8<K<; 4)  EMBED Equation.3  >1@0B8<,  EMBED Equation.3 . #?@06=5=85. CABL  EMBED Equation.3  8  EMBED Equation.3   185:B82=K5 >B>1@065=8O. >:068B5, GB> B>340 185:B82=0 8 8E :><?>78F8O  EMBED Equation.3 , ?@8G5<  EMBED Equation.3 . 5. >I=>ABL. >2>@OB, GB> <=>65AB20  EMBED Equation.3  8  EMBED Equation.3  @02=><>I=K 8;8 8<5NB >48=0:>2CN <>I=>ABL, 5A;8 ACI5AB2C5B 185:B82=>5 >B>1@065=85  EMBED Equation.3 . =>65AB20 B>9 65 <>I=>AB8, GB> 8  EMBED Equation.3 , =07K20NBAO AG5B=K<8. =>65AB20, 8<5NI85 >48=0:>2CN <>I=>ABL A> <=>65AB2><  EMBED Equation.3 , =07K20NB <=>65AB20<8 <>I=>AB8 :>=B8=CC<. @8<5@. !>?>AB028< :064><C G8A;C  EMBED Equation.3  G8A;>  EMBED Equation.3 . ">340 ?>;CG8< 2;>65=85 <=>65AB20 2A5E =0BC@0;L=KE G8A5; 2> <=>65AB2> 2A5E =0BC@0;L=KE G5B=KE G8A5;. "0:8< >1@07><, <=>65AB2> 2A5E =0BC@0;L=KE G8A5; @02=><>I=> A <=>65AB2>< 2A5E G5B=KE (=0BC@0;L=KE) G8A5;. 0: ?>:070; ?@82545==K9 ?@8<5@, 2?>;=5 <>65B >:070BLAO, GB> <=>65AB2> @02=><>I=> A> A2>8< A>1AB25==K< ?>4<=>65AB2><. 0 A0<>< 45;5 MB> E0@0:B5@8AB8G5A:>5 A2>9AB2> 2A5E 15A:>=5G=KE <=>65AB2, B.5. A2>9AB2>, :>B>@>5 <>65B A;C68BL >?@545;5=85< B0:8E <=>65AB2. 8G53> ?>4>1=>3> =5;L7O 2AB@5B8BL, @0AA<0B@820O :>=5G=K5 <=>65AB20. " &+ 1. >=OB85 <0B@8FK. @O<>C3>;L=0O B01;8F0 G8A5;  EMBED Equation.3 , (2) A>45@60I0O  EMBED Equation.3  AB@>: 8  EMBED Equation.3  AB>;1F>2, =07K205BAO <0B@8F59 @07<5@>2  EMBED Equation.3 . '8A;0  EMBED Equation.3  =07K20NBAO M;5<5=B0<8 <0B@8FK. 064K9 M;5<5=B <0B@8FK A=0165= 42C<O 8=45:A0<8: ?5@2K9 8=45:A C:07K205B =><5@ AB@>:8, 2B>@>9  =><5@ AB>;1F0, 2 :>B>@KE @0A?>;>65= MB>B M;5<5=B.  40;L=59H5< 1C45< >1>7=0G0BL <0B@8FK 1>;LH8<8 1C:20<8 ;0B8=A:>3> 0;D028B0:  EMBED Equation.3  8 B.4. '0AB> 2<5AB> ?>4@>1=>9 70?8A8 (2) C?>B@51;ONB A>:@0I5==CN:  EMBED Equation.3  8;8 4065  EMBED Equation.3 . 25 <0B@8FK  EMBED Equation.3  8  EMBED Equation.3  AG8B0NBAO @02=K<8, 5A;8 A>2?040NB 8E @07<5@K 8  EMBED Equation.3  ?@8 ;N1KE  EMBED Equation.3  8  EMBED Equation.3 . 0@O4C A <0B@8F59  EMBED Equation.3  G0AB> ?@8E>48BAO @0AA<0B@820BL <0B@8FC, AB>;1F0<8 :>B>@>9 O2;ONBAO AB@>:8 <0B@8FK  EMBED Equation.3  (B.5. AB>;1FK 8 AB@>:8 <5=ONBAO <5AB0<8). -B0 <0B@8F0 =07K205BAO B@0=A?>=8@>20==>9 :  EMBED Equation.3  8 >1>7=0G05BAO G5@57  EMBED Equation.3 :  EMBED Equation.3 . 2. 204@0B=K5 <0B@8FK. A;8 G8A;> AB@>: <0B@8FK @02=> G8A;C 55 AB>;1F>2, B> <0B@8F0 =07K205BAO :204@0B=>9, 0 G8A;>  EMBED Equation.3  55 AB@>: (@02=>5 G8A;C AB>;1F>2)  ?>@O4:>< :204@0B=>9 <0B@8FK:  EMBED Equation.3 . 803>=0;L  EMBED Equation.3  :204@0B=>9 <0B@8FK =07K205BAO 3;02=>9 4803>=0;LN, 0 4803>=0;L  EMBED Equation.3   ?>1>G=>9 4803>=0;LN. 204@0B=0O <0B@8F0 =07K205BAO B@5C3>;L=>9, 5A;8 2A5 55 M;5<5=BK, :>B>@K5 =0E>4OBAO =865 (8;8 2KH5) 3;02=>9 4803>=0;8, @02=K =C;N, B.5. B@5C3>;L=0O <0B@8F0 8<55B 284  EMBED Equation.3  8;8  EMBED Equation.3 . @8 MB>< <0B@8FC  EMBED Equation.3  =07K20NB 25@E=5B@5C3>;L=>9, 0 <0B@8FC  EMBED Equation.3   =86=5B@5C3>;L=>9. 3. 59AB28O A <0B@8F0<8. #<=>65=85 <0B@8FK =0 G8A;>. ;O B>3> GB>1K C<=>68BL <0B@8FC  EMBED Equation.3  =0 G8A;>  EMBED Equation.3 , =C6=> :064K9 M;5<5=B <0B@8FK  EMBED Equation.3  C<=>68BL =0 MB> G8A;>:  EMBED Equation.3 . !;>65=85 <0B@8F. !:;04K20BL <>6=> B>;L:> <0B@8FK A >48=0:>2K< G8A;>< AB@>: 8 AB>;1F>2, B.5. <0B@8FK >48=0:>2KE @07<5@>2. !C<<>9 <0B@8F  EMBED Equation.3  8  EMBED Equation.3  =07K205BAO <0B@8F0  EMBED Equation.3 , M;5<5=BK :>B>@>9 @02=K AC<<0< A>>B25BAB2CNI8E M;5<5=B>2 <0B@8F  EMBED Equation.3  8  EMBED Equation.3 , B.5.  EMBED Equation.3  4;O ;N1KE 8=45:A>2  EMBED Equation.3 ,  EMBED Equation.3 . #<=>65=85 <0B@8F. @>872545=85 <0B@8FK  EMBED Equation.3  =0 <0B@8FC  EMBED Equation.3  (>1>7=0G05BAO  EMBED Equation.3 ) >?@545;5=> B>;L:> 2 B>< A;CG05, :>340 G8A;> AB>;1F>2 <0B@8FK  EMBED Equation.3  @02=> G8A;C AB@>: <0B@8FK  EMBED Equation.3 .  @57C;LB0B5 C<=>65=8O ?>;CG8< <0B@8FC  EMBED Equation.3 , C :>B>@>9 AB>;L:> 65 AB@>:, A:>;L:> 8E 2 <0B@8F5  EMBED Equation.3 , 8 AB>;L:> 65 AB>;1F>2, A:>;L:> 8E 2 <0B@8F5  EMBED Equation.3 . ;O C4>1AB20 70?><8=0=8O 70?8H5< MB> :@0B:>:  EMBED Equation.3  A;8  EMBED Equation.3 ,  EMBED Equation.3  8  EMBED Equation.3 , B> M;5<5=BK  EMBED Equation.3  >?@545;ONBAO A;54CNI8< >1@07><:  EMBED Equation.3 , (3) 345  EMBED Equation.3 . -B> ?@028;> <>6=> AD>@<C;8@>20BL 8 A;>25A=>: M;5<5=B  EMBED Equation.3 , AB>OI89 =0 ?5@5A5G5=88  EMBED Equation.3 -9 AB@>:8 8  EMBED Equation.3 -3> AB>;1F0 <0B@8FK  EMBED Equation.3 , @025= AC<<5 ?>?0@=KE ?@>872545=89 A>>B25BAB2CNI8E M;5<5=B>2  EMBED Equation.3 -9 AB@>:8 <0B@8FK  EMBED Equation.3  8  EMBED Equation.3 -3> AB>;1F0 <0B@8FK  EMBED Equation.3 . @C38<8 A;>20<8, M;5<5=B  EMBED Equation.3  O2;O5BAO @57C;LB0B>< A:0;O@=>3> ?@>872545=8O  EMBED Equation.3 -9 25:B>@-AB@>:8 8  EMBED Equation.3 -3> 25:B>@-AB>;1F0.  :0G5AB25 ?@8<5@0 ?@8<5=5=8O C:070==>3> ?@028;0 ?@82545< D>@<C;C ?5@5<=>65=8O :204@0B=KE <0B@8F 2-3> ?>@O4:0:  EMBED Equation.3 . 0<5B8<, GB> >10 ?@>872545=8O  EMBED Equation.3  8  EMBED Equation.3  <>6=> >?@545;8BL ;8HL 2 B>< A;CG05, :>340 G8A;> AB>;1F>2 <0B@8FK  EMBED Equation.3  A>2?0405B A G8A;>< AB@>: <0B@8FK  EMBED Equation.3 , 0 G8A;> AB@>: <0B@8FK  EMBED Equation.3  A>2?0405B A G8A;>< AB>;1F>2 <0B@8FK  EMBED Equation.3 .  8<5==>, <0B@8F0  EMBED Equation.3  8<55B @07<5@K  EMBED Equation.3 , 0  EMBED Equation.3   @07<5@K  EMBED Equation.3 . @8 MB><, 2>>1I5 3>2>@O,  EMBED Equation.3  (?@>25@LB5 =0 ?@8<5@5!). 7 D>@<C;K (3) 2KB5:0NB A;54CNI85 A2>9AB20 C<=>65=8O <0B@8F:  EMBED Equation.3  (0AA>F80B82=>ABL C<=>65=8O);  EMBED Equation.3  8;8  EMBED Equation.3 (48AB@81CB82=>ABL C<=>65=8O >B=>A8B5;L=> A;>65=8O). 4. 1@0B=0O <0B@8F0. !@548 :204@0B=KE <0B@8F >4=>3> 8 B>3> 65 ?>@O4:0 (=0?@8<5@, ?>@O4:0  EMBED Equation.3 , B.5. @07<5@>2  EMBED Equation.3 ) 206=CN @>;L 83@05B <0B@8F0 2840  EMBED Equation.3 , :>B>@CN =07K20NB 548=8G=>9 <0B@8F59. 53:> ?@>25@8BL, GB> 4;O ;N1>9 <0B@8FK  EMBED Equation.3   EMBED Equation.3 -3> ?>@O4:0 8<5NB <5AB> @025=AB20  EMBED Equation.3 . -B8 @025=AB20 ?>:07K20NB >A>1CN @>;L 548=8G=>9 <0B@8FK  EMBED Equation.3 , 0=0;>38G=CN B>9 @>;8, :>B>@CN 83@05B G8A;> 1 ?@8 ?5@5<=>65=88 25I5AB25==KE G8A5;. 0: 8725AB=>, 4;O :064>3> G8A;0  EMBED Equation.3  ACI5AB2C5B B0:>5 G8A;>  EMBED Equation.3 , GB>  EMBED Equation.3 . '8A;>  EMBED Equation.3  =07K205BAO >1@0B=K< 4;O  EMBED Equation.3 . A;8 <K 70D8:A8@C5< =0BC@0;L=>5 G8A;>  EMBED Equation.3  8 1C45< @0AA<0B@820BL :204@0B=K5 <0B@8FK  EMBED Equation.3 -3> ?>@O4:0, B> 2 MB>< <=>65AB25 <0B@8F 548=8G=0O <0B@8F0  EMBED Equation.3  1C45B 83@0BL @>;L 548=8FK. AB5AB25==> ?>AB028BL 2>?@>A > ACI5AB2>20=88 >1@0B=>9 <0B@8FK, B.5. B0:>9 <0B@8FK, :>B>@0O 2 ?@>872545=88 A 40==>9 <0B@8F59 405B 548=8G=CN. ?@545;5=85. CABL  EMBED Equation.3   :204@0B=0O <0B@8F0  EMBED Equation.3 -3> ?>@O4:0. 204@0B=0O <0B@8F0  EMBED Equation.3  (B>3> 65 ?>@O4:0  EMBED Equation.3 ) =07K205BAO >1@0B=>9 4;O  EMBED Equation.3 , 5A;8  EMBED Equation.3 . 0B@8FC, >1@0B=CN : <0B@8F5  EMBED Equation.3 , ?@8=OB> >1>7=0G0BL A8<2>;><  EMBED Equation.3 .  " 064>9 :204@0B=>9 <0B@8F5  EMBED Equation.3  <>65B 1KBL ?>AB02;5=> 2 A>>B25BAB285 =5:>B>@>5 G8A;>, 2KG8A;O5<>5 ?> >?@545;5==><C ?@028;C A ?><>ILN M;5<5=B>2 <0B@8FK. "0:>5 G8A;> =07K20NB >?@545;8B5;5< (8;8 45B5@<8=0=B><) <0B@8FK  EMBED Equation.3  8 >1>7=0G0NB A8<2>;><  EMBED Equation.3  8;8  EMBED Equation.3 . @8 MB>< ?>@O4:>< >?@545;8B5;O =07K20NB ?>@O4>: A>>B25BAB2CNI59 <0B@8FK. @028;0 2KG8A;5=8O >?@545;8B5;59 2-3> 8 3-3> ?>@O4:>2 ;53:> 2K?8A0BL:  EMBED Equation.3 ,  EMBED Equation.3  >A;54=NN D>@<C;C, =5A<>B@O =0 2=5H=NN A;>6=>ABL 70?8A8, =5B@C4=> 70?><=8BL. A;8 A>548=8BL ;8=859 :064K5 B@8 M;5<5=B0 >?@545;8B5;O, ?@>872545=85 :>B>@KE 2E>48B 2 ?@02CN G0ABL ?>A;54=59 D>@<C;K A> 7=0:><  EMBED Equation.3 , B> ?>;CG8< ;53:> 70?><8=0NICNAO AE5<C 1. =0;>38G=> 4;O ?@>872545=89, 2E>4OI8E A> 7=0:><  , 8<55< AE5<C 2. !E5<0 1 !E5<0 2 -B> ?@028;> 2KG8A;5=8O >?@545;8B5;59 3-3> ?>@O4:0 =07K205BAO ?@028;>< B@5C3>;L=8:>2. @5645, G5< AD>@<C;8@>20BL >?@545;5=85 >?@545;8B5;O  EMBED Equation.3 -3> ?>@O4:0, @0AA<>B@8< >4=> 2A?><>30B5;L=>5 ?>=OB85. 1. 5@5AB0=>2:8. 5@5AB0=>2:>9 G8A5;  EMBED Equation.3  =07K20NB @0A?>;>65=85 MB8E G8A5; 2 :0:><-;81> >?@545;5==>< ?>@O4:5 (=5 >1O70B5;L=> 2 ?>@O4:5 2>7@0AB0=8O). 0?@8<5@,  EMBED Equation.3   >4=0 87 2>7<>6=KE ?5@5AB0=>2>: G8A5;  EMBED Equation.3 . '8A;> @07;8G=KE ?5@5AB0=>2>:, :>B>@K5 <>6=> A>AB028BL 87 G8A5;  EMBED Equation.3 , @02=> ?@>872545=8N  EMBED Equation.3  (G8B05BAO: n D0:B>@80;). CABL 40=0 :0:0O-B> ?5@5AB0=>2:0  EMBED Equation.3  G8A5;  EMBED Equation.3 . 07>25< 8=25@A859 (8;8 15A?>@O4:><) 2 ?5@5AB0=>2:5  EMBED Equation.3  ;N1CN ?0@C G8A5; 2 MB>9 ?5@5AB0=>2:5, 87 :>B>@KE 1>;LH55 G8A;> @0A?>;>65=> ;5255 <5=LH53>. @8<5@.  ?5@5AB0=>2:5  EMBED Equation.3  8<5NBAO 3 8=25@A88: 8E >1@07CNB ?0@K  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3 . #A;>28<AO >1>7=0G0BL >1I55 G8A;> 8=25@A89 2 ?5@5AB0=>2:5  EMBED Equation.3  A8<2>;><  EMBED Equation.3 . 5@5AB0=>2:0  EMBED Equation.3  =07K205BAO G5B=>9, 5A;8 G8A;>  EMBED Equation.3   G5B=>5, 8 =5G5B=>9, 5A;8 G8A;>  EMBED Equation.3   =5G5B=>5. "0: 2 @0AA<>B@5==>< 2KH5 ?@8<5@5 ?5@5AB0=>2:0 A>45@60;0 3 8=25@A88 8, A;54>20B5;L=>, O2;O5BAO =5G5B=>9. 0<5B8<, GB> ?5@5AB0=>2:0  EMBED Equation.3  =5 A>45@68B =8 >4=>9 8=25@A88, 8=0G5 3>2>@O, A>45@68B 0 8=25@A89. !;54>20B5;L=>, MB0 ?5@5AB0=>2:0 O2;O5BAO G5B=>9. 2. ?@545;8B5;L  EMBED Equation.3 -3> ?>@O4:0. ?@545;8B5;5<  EMBED Equation.3 -3> ?>@O4:0 (8;8 >?@545;8B5;5< <0B@8FK  EMBED Equation.3 -3> ?>@O4:0) =07K205BAO G8A;>, @02=>5  EMBED Equation.3 , (4) 345 AC<<8@>20=85 @0A?@>AB@0=O5BAO =0 2A5 ?5@5AB0=>2:8  EMBED Equation.3 , :>B>@K5 <>6=> A>AB028BL 87 G8A5;  EMBED Equation.3 . >;8G5AB2> A;0305<KE 2 ?@02>9 G0AB8 @025=AB20 (4) @02=>  EMBED Equation.3 , B0: :0: :>;8G5AB2> 2A5E ?5@5AB0=>2>: <=>65AB20 87  EMBED Equation.3  M;5<5=B>2 @02=>  EMBED Equation.3  #?@06=5=85.  :0G5AB25 ?@8<5@>2 ?@8<5=5=8O >1I59 D>@<C;K (4) @0AA<>B@8B5 D>@<C;K 4;O 2KG8A;5=8O >?@545;8B5;59 2-3> 8 3-3> ?>@O4:>2. 3. !2>9AB20 >?@545;8B5;59. !D>@<C;8@C5< 157 4>:070B5;LAB20 @O4 A2>9AB2, :>B>@K<8 >1;0405B ?@>872>;L=K9 >?@545;8B5;L  EMBED Equation.3 -3> ?>@O4:0. 1) !2>9AB2> @02=>?@02=>AB8 AB@>: 8 AB>;1F>2. @8 B@0=A?>=8@>20=88 25;8G8=0 >?@545;8B5;O A>E@0=O5BAO, B.5.  EMBED Equation.3 . -B> A2>9AB2> >7=0G05B ?>;=CN @02=>?@02=>ABL AB@>: 8 AB>;1F>2 8 ?>72>;O5B =0< 2A5 ?>A;54CNI85 A2>9AB20 D>@<C;8@>20BL ;8HL 4;O AB@>: 8 1KBL C25@5==K<8 2 A?@0254;82>AB8 8E 8 4;O AB>;1F>2. 2) @8 ?5@5AB0=>2:5 <5AB0<8 2-E AB@>: >?@545;8B5;L A>E@0=O5B A2>N 01A>;NB=CN 25;8G8=C, => <5=O5B 7=0: =0 ?@>B82>?>;>6=K9. 3) 8=59=>5 A2>9AB2> >?@545;8B5;O. A;8 2A5 M;5<5=BK  EMBED Equation.3 ->9 AB@>:8 >?@545;8B5;O  EMBED Equation.3 -3> ?>@O4:0 ?@54AB02;5=K 2 2845 AC<<K 42CE A;0305<KE  EMBED Equation.3   EMBED Equation.3 , B> 8AE>4=K9 >?@545;8B5;L <>6=> ?@54AB028BL 2 2845 AC<<K 42CE >?@545;8B5;59, C :>B>@KE M;5<5=B0<8  EMBED Equation.3 -9 AB@>:8 O2;ONBAO A>>B25BAB25==>  EMBED Equation.3  8  EMBED Equation.3   EMBED Equation.3 , 0 2A5 >AB0;L=K5 AB@>:8  B0:85 65, :0: C 8AE>4=>3> >?@545;8B5;O. @8 MB>< >?@545;8B5;8 C<=>60NBAO =0  EMBED Equation.3  8  EMBED Equation.3  A>>B25BAB25==>:  EMBED Equation.3 . >=5G=> ;8=59=>5 A2>9AB2> A?@0254;82> 8 4;O A;CG0O, :>340  EMBED Equation.3 -O AB@>:0 O2;O5BAO ;8=59=>9 :><18=0F859 =5 42CE, 0 =5A:>;L:8E AB@>:. 0 MB>B A;CG09 (;N1>3> :>=5G=>3> G8A;0 A;0305<KE) AD>@<C;8@>20==>5 A2>9AB2> >1>1I05BAO 8=4C:F859 ?> G8A;C A;0305<KE. @82545==K5 B@8 A2>9AB20 O2;ONBAO >A=>2=K<8 A2>9AB20<8 >?@545;8B5;O. A5 A;54CNI85 A2>9AB20 O2;ONBAO ;>38G5A:8<8 A;54AB28O<8 B@5E >A=>2=KE A2>9AB2. 4) ?@545;8B5;L A 42C<O >48=0:>2K<8 AB@>:0<8 @025= =C;N.  A0<>< 45;5, ?@8 ?5@5AB0=>2:5 42CE >48=0:>2KE AB@>:, A >4=>9 AB>@>=K, >?@545;8B5;L  EMBED Equation.3  =5 87<5=8BAO, 0 A 4@C3>9 AB>@>=K, 2 A8;C A2>9AB20 2 87<5=8B A2>9 7=0: =0 ?@>B82>?>;>6=K9. "0:8< >1@07><,  EMBED Equation.3 , B.5.  EMBED Equation.3  8;8  EMBED Equation.3 . 5) #<=>65=85 2A5E M;5<5=B>2 =5:>B>@>9 AB@>:8 >?@545;8B5;O =0 G8A;>  EMBED Equation.3  @02=>A8;L=> C<=>65=8N >?@545;8B5;O =0 MB> G8A;>  EMBED Equation.3 . =K<8 A;>20<8, >1I89 <=>68B5;L 2A5E M;5<5=B>2 =5:>B>@>9 AB@>:8 >?@545;8B5;O <>6=> 2K=5AB8 70 7=0: MB>3> >?@545;8B5;O. -B> A2>9AB2> 2KB5:05B 87 A2>9AB20 3 ?@8  EMBED Equation.3 . 6) A;8 2A5 M;5<5=BK =5:>B>@>9 AB@>:8 >?@545;8B5;O @02=K =C;N, B> 8 A0< >?@545;8B5;L @025= =C;N. -B> A2>9AB2> 2KB5:05B 87 A2>9AB20 5 ?@8  EMBED Equation.3 . 7) A;8 M;5<5=BK 42CE AB@>: >?@545;8B5;O ?@>?>@F8>=0;L=K, B> >?@545;8B5;L @025= =C;N.  A0<>< 45;5, 2 A8;C A2>9AB20 5 <=>68B5;L ?@>?>@F8>=0;L=>AB8 <>6=> 2K=5AB8 70 7=0: >?@545;8B5;O, ?>A;5 G53> >AB0=5BAO >?@545;8B5;L A 42C<O >48=0:>2K<8 AB@>:0<8, :>B>@K9 @025= =C;N A>3;0A=> A2>9AB2C 4. 8) A;8 : M;5<5=B0< =5:>B>@>9 AB@>:8 >?@545;8B5;O ?@81028BL A>>B25BAB2CNI85 M;5<5=BK 4@C3>9 AB@>:8, C<=>65==K5 =0 ?@>872>;L=K9 <=>68B5;L  EMBED Equation.3 , B> 25;8G8=0 >?@545;8B5;O =5 87<5=8BAO.  A0<>< 45;5, ?>;CG5==K9 2 @57C;LB0B5 C:070==>3> ?@8102;5=8O >?@545;8B5;L <>6=> 2 A8;C A2>9AB20 3 @0718BL =0 AC<<C 42CE >?@545;8B5;59, ?5@2K9 87 :>B>@KE A>2?0405B A 8AE>4=K<, 0 2B>@>9 @025= =C;N 2 A8;C ?@>?>@F8>=0;L=>AB8 42CE AB@>: 8 A2>9AB20 7. 9) ?@545;8B5;L ?@>872545=8O <0B@8F. A;8  EMBED Equation.3 , 345  EMBED Equation.3  8  EMBED Equation.3   :204@0B=K5 <0B@8FK (>48=0:>2>3> ?>@O4:0), B>  EMBED Equation.3 . 4. KG8A;5=85 >?@545;8B5;59  EMBED Equation.3 -3> ?>@O4:0. CABL 40=0 <0B@8F0  EMBED Equation.3   EMBED Equation.3 -3> ?>@O4:0. 8=>@>< ;N1>3> M;5<5=B0  EMBED Equation.3  =07K20NB >?@545;8B5;L ?>@O4:0  EMBED Equation.3 , A>>B25BAB2CNI89 B>9 <0B@8F5, :>B>@0O ?>;CG05BAO 87 <0B@8FK  EMBED Equation.3  2 @57C;LB0B5 2KG5@:820=8O  EMBED Equation.3 -9 AB@>:8 8  EMBED Equation.3 -3> AB>;1F0 (B.5. B>9 AB@>:8 8 B>3> AB>;1F0, =0 ?5@5A5G5=88 :>B>@KE AB>8B M;5<5=B  EMBED Equation.3 ). 8=>@ M;5<5=B0  EMBED Equation.3  1C45< >1>7=0G0BL A8<2>;><  EMBED Equation.3 . ;351@08G5A:8< 4>?>;=5=85<  EMBED Equation.3  M;5<5=B0  EMBED Equation.3  <0B@8FK  EMBED Equation.3  =07K20NB <8=>@  EMBED Equation.3  MB>3> M;5<5=B0, C<=>65==K9 =0  EMBED Equation.3 , B.5.  EMBED Equation.3 . "5>@5<0. ?@545;8B5;L <0B@8FK  EMBED Equation.3   EMBED Equation.3 -3> ?>@O4:0 @025= AC<<5 ?@>872545=89 2A5E M;5<5=B>2 :0:>9-=81C4L >4=>9 D8:A8@>20==>9 AB@>:8 =0 8E 0;351@08G5A:85 4>?>;=5=8O, B.5. 4;O ;N1>3>  EMBED Equation.3  8<55B <5AB> @025=AB2>  EMBED Equation.3 , =07K205<>5 @07;>65=85< >?@545;8B5;O  EMBED Equation.3  ?> M;5<5=B0<  EMBED Equation.3 -9 AB@>:8. =0;>38G=> 4;O  EMBED Equation.3  8<55B <5AB> @07;>65=85 >?@545;8B5;O  EMBED Equation.3  ?> M;5<5=B0<  EMBED Equation.3 -3> AB>;1F0:  EMBED Equation.3 . (57 4>:070B5;LAB20) #?@06=5=85. KG8A;8B5 :064K9 87 A;54CNI8E >?@545;8B5;59 42C<O A?>A>10<8 (A ?><>ILN ?@028;0 B@5C3>;L=8:>2 8 A ?><>ILN @07;>65=8O ?> M;5<5=B0< AB@>:8 8;8 AB>;1F0): 0)  EMBED Equation.3 , 1)  EMBED Equation.3  , 2)  EMBED Equation.3  . 5. 48= A?>A>1 2KG8A;5=8O >1@0B=>9 <0B@8FK. A;8 4;O :204@0B=>9 <0B@8FK  EMBED Equation.3  ACI5AB2C5B >1@0B=0O <0B@8F0  EMBED Equation.3 , B> A?@0254;82> @025=AB2>  EMBED Equation.3 , 345  EMBED Equation.3   548=8G=0O <0B@8F0. 5@5E>4O 2 MB>< @025=AB25 : >?@545;8B5;O< (8 CG8BK20O A2>9AB2> 9 >?@545;8B5;59), 8<55<  EMBED Equation.3 , 8;8  EMBED Equation.3 . BAN40 70:;NG05<, GB>  EMBED Equation.3  (2 ?@>B82=>< A;CG05 ;520O G0ABL ?>A;54=53> @025=AB20 @02=O;0AL 1K =C;N). -B8< 4>:070=>, GB> 5A;8  EMBED Equation.3 , B> 4;O <0B@8FK  EMBED Equation.3  =5 ACI5AB2C5B >1@0B=>9. @C38<8 A;>20<8, CA;>285  EMBED Equation.3  O2;O5BAO =5>1E>48<K< CA;>285< ACI5AB2>20=8O >1@0B=>9 <0B@8FK. :07K205BAO, MB> CA;>285 O2;O5BAO 8 4>AB0B>G=K<. ?@545;5=85. 204@0B=0O <0B@8F0  EMBED Equation.3  =07K205BAO =52K@>645==>9, 5A;8 55 >?@545;8B5;L =5 @025= =C;N (  EMBED Equation.3  ).  ?@>B82=>< A;CG05 <0B@8F0  EMBED Equation.3  =07K205BAO 2K@>645==>9 (  EMBED Equation.3  ). CABL <0B@8F0  EMBED Equation.3  8<55B 284  EMBED Equation.3 . "5>@5<0. A;8  EMBED Equation.3   =52K@>645==0O <0B@8F0, B> 4;O =55 ACI5AB2C5B >1@0B=0O <0B@8F0  EMBED Equation.3 , :>B>@0O 2KG8A;O5BAO ?> D>@<C;5  EMBED Equation.3 , (5) 345  EMBED Equation.3   0;351@08G5A:>5 4>?>;=5=85 4;O M;5<5=B0  EMBED Equation.3  <0B@8FK  EMBED Equation.3 . (57 4>:070B5;LAB20) 0<5G0=85. 1@0B8< 2=8<0=85 =0 @0A?>;>65=85 G8A5;  EMBED Equation.3  2 ?@02>9 G0AB8 D>@<C;K (5): G8A;>  EMBED Equation.3  @0A?>;>65=> =5 2  EMBED Equation.3 -9 AB@>:5 8  EMBED Equation.3 -< AB>;1F5, 0 =0>1>@>B, 2  EMBED Equation.3 -9 AB@>:5 8  EMBED Equation.3 -< AB>;1F5. "0:8< >1@07><, <0B@8F0, AB>OI0O 2 ?@02>9 G0AB8 (5), O2;O5BAO B@0=A?>=8@>20==>9 <0B@8F59 0;351@08G5A:8E 4>?>;=5=89 M;5<5=B>2 <0B@8FK  EMBED Equation.3 . #?@06=5=85. 09B8 >1@0B=K5 4;O A;54CNI8E <0B@8F 8 ?@>25@8BL @57C;LB0B: 0)  EMBED Equation.3  , 1)  EMBED Equation.3  , 2)  EMBED Equation.3 . !!"+ +%  '!% #  1. 1I85 ?>=OB8O. 8=59=K< (>B=>A8B5;L=> =58725AB=KE  EMBED Equation.3 ) =07K20NB 0;351@08G5A:>5 C@02=5=85 ?5@2>9 AB5?5=8, B.5. C@02=5=85 2840  EMBED Equation.3 , 345  EMBED Equation.3   G8A;0. @8G8=0 B0:>3> =0720=8O 2 B><, GB> C@02=5=85 ?5@2>9 AB5?5=8 A 42C<O ?5@5<5==K<8  EMBED Equation.3  >?@545;O5B =0 ?;>A:>AB8 2 45:0@B>2>9 ?@O<>C3>;L=>9 A8AB5<5 :>>@48=0B ?@O<CN ;8=8N. !8AB5<0  EMBED Equation.3  ;8=59=KE C@02=5=89 A  EMBED Equation.3  =58725AB=K<8 8<55B 284  EMBED Equation.3  (6)  >1I5< A;CG05 G8A;> C@02=5=89 2 A8AB5<5 =5 >1O70B5;L=> A>2?0405B A G8A;>< =58725AB=KE:  EMBED Equation.3  <>65B 1KBL <5=LH5, @02=> 8;8 1>;LH5 G8A;0  EMBED Equation.3 . '8A;0  EMBED Equation.3  (25I5AB25==K5 8;8 :><?;5:A=K5) =07K20NBAO :>MDD8F85=B0<8 A8AB5<K (6);  EMBED Equation.3   A2>1>4=K<8 G;5=0<8;  EMBED Equation.3   =58725AB=K<8. !8AB5<C (6) <>6=> 70?8A0BL 2 <0B@8G=>9 D>@<5:  EMBED Equation.3 , 345  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3 . A;8  EMBED Equation.3 , B> A8AB5<0 =07K205BAO >4=>@>4=>9, 2 ?@>B82=>< A;CG05 >=0 =07K205BAO =5>4=>@>4=>9. ?@545;5=85. !>2>:C?=>ABL  EMBED Equation.3  G8A5;  EMBED Equation.3  =07K205BAO @5H5=85< A8AB5<K (6), 5A;8 ?>A;5 70<5=K =58725AB=KE  EMBED Equation.3  G8A;0<8  EMBED Equation.3  A>>B25BAB25==> :064>5 87 C@02=5=89 A8AB5<K ?@52@0I05BAO 2 25@=>5 @025=AB2>. @8<5@ 1. 0AA<>B@8< A8AB5<C ;8=59=KE C@02=5=89  EMBED Equation.3  -B0 A8AB5<0 2-E C@02=5=89 A B@5<O =58725AB=K<8 @5H5=89 =5 8<55B, B0: :0: ;N10O B@>9:0 G8A5;, C4>2;5B2>@ONI0O ?5@2><C C@02=5=8N, =5 <>65B C4>2;5B2>@OBL 2B>@><C. @8<5@ 2. !8AB5<0  EMBED Equation.3  8<55B 548=AB25==>5 @5H5=85  EMBED Equation.3 ,  EMBED Equation.3 . @8<5@ 3. 0AA<>B@8< A8AB5<C ;8=59=KE C@02=5=89  EMBED Equation.3  0@0 G8A5;  EMBED Equation.3  5ABL >4=> 87 @5H5=89 MB>9 A8AB5<K B@5E C@02=5=89 A 42C<O =58725AB=K<8,  EMBED Equation.3   4@C3>5 @5H5=85. -B0 A8AB5<0 8<55B 15A:>=5G=> <=>3> @5H5=89: 7=0G5=8O  EMBED Equation.3 ,  EMBED Equation.3  ?@8 ;N1>< 459AB28B5;L=>< 7=0G5=88  EMBED Equation.3  C4>2;5B2>@ONB 40==>9 A8AB5<5. 0AA<>B@5==K5 ?@8<5@K A8AB5< ;8=59=KE C@02=5=89 ?>:07K20NB, GB>, 2>>1I5 3>2>@O, A8AB5<0 <>65B ;81> 2>2A5 =5 8<5BL @5H5=89, ;81> 8<5BL 548=AB25==>5 @5H5=85, ;81> 8<5BL 8E =5A:>;L:> (2 ?>A;54=5< A;CG05, >:07K205BAO, A8AB5<0 2A5340 8<55B 15A:>=5G=>5 <=>65AB2> @5H5=89). ?@545;5=85. !8AB5<0 ;8=59=KE C@02=5=89, =5 8<5NI0O =8 >4=>3> @5H5=8O, =07K205BAO =5A>2<5AB=>9. !8AB5<0, >1;040NI0O E>BO 1K >4=8< @5H5=85<, =07K205BAO A>2<5AB=>9. B=>A8B5;L=> :064>9 A8AB5<K ;8=59=KE C@02=5=89 <>3CB 1KBL ?>AB02;5=K A;54CNI85 2>?@>AK: !>2<5AB=0 7040==0O A8AB5<0 8;8 =5B?  A;CG05, 5A;8 A8AB5<0 A>2<5AB=0, :0: >?@545;8BL, A:>;L:> >=0 8<55B @5H5=89  >4=> 8;8 =5A:>;L:>? 0: =09B8 2A5 @5H5=8O A8AB5<K? B25B =0 2A5 MB8 2>?@>AK 405B B5>@8O A8AB5< ;8=59=KE C@02=5=89. 2. @028;> @0<5@0. 3@0=8G8<AO A=0G0;0 @0AA<>B@5=85< A8AB5<, C :>B>@KE G8A;> C@02=5=89 @02=> G8A;C =58725AB=KE (B0:85 A8AB5<K =07K20NB :204@0B=K<8). CABL 40=0 A8AB5<0  EMBED Equation.3  ;8=59=KE C@02=5=89 A  EMBED Equation.3  =58725AB=K<8:  EMBED Equation.3  (7) ?@545;8B5;L  EMBED Equation.3 , A>AB02;5==K9 87 :>MDD8F85=B>2 ?@8 =58725AB=KE, =07K205BAO >?@545;8B5;5< A8AB5<K (7). "5>@5<0. A;8 >?@545;8B5;L  EMBED Equation.3  :204@0B=>9 A8AB5<K (6) >B;8G5= >B =C;O, B> MB0 A8AB5<0 8<55B 548=AB25==>5 @5H5=85. -B> @5H5=85 <>65B 1KBL =0945=> ?> D>@<C;0<  EMBED Equation.3 , 345  EMBED Equation.3   >?@545;8B5;L, ?>;CG05<K9 87 >?@545;8B5;O  EMBED Equation.3  70<5=>9  EMBED Equation.3 -3> AB>;1F0 =0 AB>;15F A2>1>4=KE G;5=>2. (57 4>:070B5;LAB20) $>@<C;K 4;O =58725AB=KE =>AOB =0720=85 D>@<C; @0<5@0. 3. 0=3 <0B@8FK. 0=55 4;O :204@0B=>9 <0B@8FK  EMBED Equation.3   EMBED Equation.3 -3> ?>@O4:0 1K;> 22545=> ?>=OB85 <8=>@0  EMBED Equation.3  M;5<5=B0  EMBED Equation.3 . 0?><=8<, GB> B0: 1K; =0720= >?@545;8B5;L ?>@O4:0  EMBED Equation.3 , ?>;CG5==K9 87 >?@545;8B5;O  EMBED Equation.3  2KG5@:820=85<  EMBED Equation.3 -9 AB@>:8 8  EMBED Equation.3 -3> AB>;1F0. 2545< B5?5@L >1I55 ?>=OB85 <8=>@0. 0AA<>B@8< =5:>B>@CN, =5 >1O70B5;L=> :204@0B=CN <0B@8FC  EMBED Equation.3 . 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EMBED Equation.3  A>2?0405B A <5=LH8< 87 G8A5;  EMBED Equation.3  8;8  EMBED Equation.3 . /A=>, GB> 2 <0B@8F5 <>65B 1KBL =5A:>;L:> @07=KE 1078A=KE <8=>@>2. A5 1078A=K5 <8=>@K 8<5NB >48= 8 B>B 65 ?>@O4>:. 59AB28B5;L=>, 5A;8 2A5 <8=>@K ?>@O4:0  EMBED Equation.3  @02=K =C;N, B> @02=K =C;N 8 2A5 <8=>@K ?>@O4:0  EMBED Equation.3 , 0, A;54>20B5;L=>, 8 2A5E 1;LH8E ?>@O4:>2. -B> AB0=>28BAO >G5284=K<, 5A;8 @07;>68BL <8=>@ ?>@O4:0  EMBED Equation.3  ?> M;5<5=B0< :0:>9-;81> AB@>:8 (AB>;1F0): 2A5 <8=>@K M;5<5=B>2 MB>9 AB@>:8 O2;ONBAO >?@545;8B5;O<8 ?>@O4:0  EMBED Equation.3 , 0 ?>MB><C @02=K =C;N. ?@545;5=85. 0=3>< <0B@8FK =07K205BAO ?>@O4>: 1078A=>3> <8=>@0, 8;8, 8=0G5, A0<K9 1>;LH>9 ?>@O4>:, 4;O :>B>@>3> ACI5AB2CNB >B;8G=K5 >B =C;O <8=>@K. A;8 2A5 M;5<5=BK <0B@8FK @02=K =C;N, B> @0=3 B0:>9 <0B@8FK, ?> >?@545;5=8N, AG8B0NB =C;5<. 0=3 <0B@8FK  EMBED Equation.3  1C45< >1>7=0G0BL A8<2>;><  EMBED Equation.3 . 7 >?@545;5=8O @0=30 A;54C5B, GB> 4;O <0B@8FK  EMBED Equation.3  @07<5@>2  EMBED Equation.3  A?@0254;82> A>>B=>H5=85  EMBED Equation.3 . 4. 20 A?>A>10 2KG8A;5=8O @0=30 <0B@8FK. 0) 5B>4 >:09<;ONI8E <8=>@>2 0945< MB8< A?>A>1>< @0=3 <0B@8FK  EMBED Equation.3 . CABL 2 <0B@8F5 =0945= <8=>@  EMBED Equation.3   EMBED Equation.3 -3> ?>@O4:0, >B;8G=K9 >B =C;O. 0AA<>B@8< ;8HL B5 <8=>@K  EMBED Equation.3 -3> ?>@O4:0, :>B>@K5 A>45@60B 2 A515 (>:09<;ONB) <8=>@  EMBED Equation.3 : 5A;8 2A5 >=8 @02=K =C;N, B> @0=3 <0B@8FK @025=  EMBED Equation.3 .  ?@>B82=>< A;CG05 A@548 >:09<;ONI8E <8=>@>2 =0945BAO =5=C;52>9 <8=>@  EMBED Equation.3 -3> ?>@O4:0, 8 2AO ?@>F54C@0 ?>2B>@O5BAO. @8<5=OO >?8A0==K9 <5B>4 : <0B@8F5  EMBED Equation.3 , =0945<  EMBED Equation.3 . /A=>, GB> ?5@518@0BL B0:8< A?>A>1>< <8=>@K 2 ?>8A:0E 1078A=>3>  7040G0, A2O70==0O A 1>;LH8<8 2KG8A;5=8O<8, 5A;8 @07<5@K <0B@8FK =5 >G5=L <0;K. !CI5AB2C5B, >4=0:>, 1>;55 ?@>AB>9 A?>A>1 =0E>645=8O @0=30 <0B@8FK  ?@8 ?><>I8 M;5<5=B0@=KE ?@5>1@07>20=89. 1) 5B>4 M;5<5=B0@=KE ?@5>1@07>20=89 ?@545;5=85. -;5<5=B0@=K<8 ?@5>1@07>20=8O<8 <0B@8FK =07K20NB A;54CNI85 ?@5>1@07>20=8O: C<=>65=85 AB@>:8 =0 G8A;>, >B;8G=>5 >B =C;O; ?@8102;5=85 : >4=>9 AB@>:5 4@C3>9 AB@>:8; ?5@5AB0=>2:C AB@>:; B0:85 ?@5>1@07>20=8O AB>;1F>2. @5>1@07>20=8O 1 8 2 2K?>;=ONBAO ?>M;5<5=B=>. ><18=8@CO ?@5>1@07>20=8O ?5@2>3> 8 2B>@>3> 2840, <K <>65< : ;N1>9 AB@>:5 ?@81028BL ;8=59=CN :><18=0F8N >AB0;L=KE AB@>:. "5>@5<0. -;5<5=B0@=K5 ?@5>1@07>20=8O =5 <5=ONB @0=30 <0B@8FK. (57 4>:070B5;LAB20) 45O ?@0:B8G5A:>3> <5B>40 2KG8A;5=8O @0=30 <0B@8FK  EMBED Equation.3  70:;NG05BAO 2 B><, GB> A ?><>ILN M;5<5=B0@=KE ?@5>1@07>20=89 40==CN <0B@8FC  EMBED Equation.3  ?@82>4OB : 284C  EMBED Equation.3 , 2 :>B>@>< 4803>=0;L=K5 M;5<5=BK  EMBED Equation.3  >B;8G=K >B =C;O, 0 M;5<5=BK, @0A?>;>65==K5 =865 4803>=0;L=KE, @02=K =C;N. #A;>28<AO =07K20BL <0B@8FC  EMBED Equation.3  B0:>3> 2840 B@5C3>;L=>9 (8=0G5, 55 =07K20NB 4803>=0;L=>9, B@0?5F85284=>9 8;8 ;5AB=8G=>9). >A;5 ?@82545=8O <0B@8FK  EMBED Equation.3  : B@5C3>;L=><C 284C <>6=> A@07C 70?8A0BL, GB>  EMBED Equation.3 .  A0<>< 45;5,  EMBED Equation.3  (B.:. 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">340 @0=3 <0B@8FK  EMBED Equation.3  1C45B @025= G8A;C =5=C;52KE AB@>: 2 ?>;CG5==>9 <0B@8F5  EMBED Equation.3 . #?@06=5=85. 09B8 <5B>4>< M;5<5=B0@=KE ?@5>1@07>20=89 @0=3 <0B@8FK  EMBED Equation.3 . 5. @8B5@89 A>2<5AB=>AB8 A8AB5<K ;8=59=KE C@02=5=89. 0AA<>B@8< A=>20 ?@>872>;L=CN A8AB5<C  EMBED Equation.3  ;8=59=KE C@02=5=89 A  EMBED Equation.3  =58725AB=K<8, :>B>@CN 70?8H5<, :0: 8 @0=LH5, 2 <0B@8G=>9 D>@<5:  EMBED Equation.3 , (8) 345  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3 . 0B@8FC  EMBED Equation.3  =07K20NB <0B@8F59 A8AB5<K (8), 0 <0B@8FC, ?>;CG5==CN 87 <0B@8FK  EMBED Equation.3  4>102;5=85< AB>;1F0 A2>1>4=KE G;5=>2  EMBED Equation.3 ,  @0AH8@5==>9 <0B@8F59 A8AB5<K (8). 1>7=0G8< @0AH8@5==CN <0B@8FC A8AB5<K (8) A8<2>;><  EMBED Equation.3 :  EMBED Equation.3 . 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(57 4>:070B5;LAB20) 6. 5B>4 0CAA0 (<5B>4 ?>A;54>20B5;L=>3> 8A:;NG5=8O =58725AB=KE) @5H5=8O A8AB5< ;8=59=KE C@02=5=89. >4 M;5<5=B0@=K<8 ?@5>1@07>20=8O<8 A8AB5<K ;8=59=KE C@02=5=89 ?>=8<0NBAO A;54CNI85 >?5@0F88: C<=>65=85 :0:>3>-;81> C@02=5=8O A8AB5<K =0 G8A;>, >B;8G=>5 >B =C;O; ?@8102;5=85 : >4=><C C@02=5=8N 4@C3>3> C@02=5=8O; ?5@5<5=0 <5AB0<8 C@02=5=89 2 A8AB5<5. ><18=8@CO M;5<5=B0@=K5 ?@5>1@07>20=8O ?5@2>3> 8 2B>@>3> B8?>2, <K <>65< : ;N1><C C@02=5=8N ?@81028BL 4@C3>5 C@02=5=85, C<=>65==>5 =0 ?@>872>;L=>5 G8A;>. @>872>4O M;5<5=B0@=K5 ?@5>1@07>20=8O 2 A8AB5<5, <K ?>;CG05< =>2CN A8AB5<C. G5284=>, GB> :064><C M;5<5=B0@=><C ?@5>1@07>20=8N A8AB5<K A>>B25BAB2CNB 0=0;>38G=K5 ?@5>1@07>20=8O =04 AB@>:0<8 @0AH8@5==>9 <0B@8FK MB>9 A8AB5<K, 8 =0>1>@>B, :064><C M;5<5=B0@=><C ?@5>1@07>20=8N AB@>: @0AH8@5==>9 <0B@8FK A>>B25BAB2C5B =5:>B>@>5 M;5<5=B0@=>5 ?@5>1@07>20=85 2 A8AB5<5. "0:8< >1@07><, M;5<5=B0@=K5 ?@5>1@07>20=8O 2 A8AB5<5 A2>4OBAO : A>>B25BAB2CNI8< ?@5>1@07>20=8O< =04 AB@>:0<8 55 @0AH8@5==>9 <0B@8FK. ?@545;5=85. 25 A8AB5<K ;8=59=KE C@02=5=89 >B >4=8E 8 B5E 65 =58725AB=KE =07K20NBAO @02=>A8;L=K<8, 5A;8 :064>5 @5H5=85 >4=>9 87 =8E O2;O5BAO @5H5=85< 4@C3>9, 8 =0>1>@>B (8;8 5A;8 >15 A8AB5<K =5A>2<5AB=K). 0<5B8<, GB> G8A;> C@02=5=89 2 @02=>A8;L=KE A8AB5<0E <>65B 1KBL @07;8G=K<. "5>@5<0. @8 M;5<5=B0@=KE ?@5>1@07>20=8OE A8AB5<0 ;8=59=KE C@02=5=89 ?5@5E>48B 2 @02=>A8;L=CN A8AB5<C. (57 4>:070B5;LAB20) !CI=>ABL <5B>40 0CAA0 70:;NG05BAO 2 B><, GB> A ?><>ILN M;5<5=B0@=KE ?@5>1@07>20=89 A8AB5<0 C@02=5=89 ?@82>48BAO : B0:><C 284C, GB>1K <0B@8F0 A8AB5<K >:070;0AL B@5C3>;L=>9. ;O C?@>I5=8O 87;>65=8O <K 1C45< 8<5BL 45;> =5 A A0<>9 A8AB5<>9 (6), 0 A @0AH8@5==>9 <0B@8F59 MB>9 A8AB5<K (?@>872>4O ?@8 MB>< M;5<5=B0@=K5 ?@5>1@07>20=8O B>;L:> =04 AB@>:0<8 <0B@8FK). 0AA<>B@8< 0;3>@8B< ?@8<5=5=8O <5B>40 0CAA0 =0 ?@>ABKE ?@8<5@0E. @8<5@ 1. 5H8BL A8AB5<C  EMBED Equation.3  @5>1@07C5< @0AH8@5==CN <0B@8FC A8AB5<K:  EMBED Equation.3 ~  EMBED Equation.3 . BAN40 A;54C5B, GB>  EMBED Equation.3 ,  EMBED Equation.3 , B.5. 8AE>4=0O A8AB5<0 =5A>2<5AB=0. 0<5B8<, GB>, ?@8<5=OO <5B>4 0CAA0 (B.5. 8A:;NG0O =58725AB=K5), <K >4=>2@5<5==> ?@>2>48< 8AA;54>20=85 A8AB5<K =0 A>2<5AB=>ABL (B.5. >BKA:8205< @0=38 <0B@8FK A8AB5<K 8 @0AH8@5==>9 <0B@8FK). @8<5@ 2. 5H8BL A8AB5<C  EMBED Equation.3  AA;54C5< A8AB5<C =0 A>2<5AB=>ABL:  EMBED Equation.3 ~  EMBED Equation.3 . BAN40 A;54C5B, GB>  EMBED Equation.3   A8AB5<0 A>2<5AB=0. B0:, ?>;CG5==0O A8AB5<0, @02=>A8;L=0O 8AE>4=>9, A>45@68B >4=> C@02=5=85 A 42C<O =58725AB=K<8. 5H5=85 MB>9 A8AB5<K <>65B 1KBL =0945=> B>;L:> 2 B>< A;CG05, 5A;8 <K ?@84048< ?@>872>;L=>5 459AB28B5;L=>5 7=0G5=85 >4=><C 87 =58725AB=KE. ">340 4@C3>5 =58725AB=>5 <>6=> 2K@078BL G5@57 ?5@2>5. 0<5B8<, GB> =58725AB=K5, 7=0G5=8O :>B>@KE <>6=> 2K18@0BL ?@>872>;L=>, =07K20NB A2>1>4=K<8. '8A;> A2>1>4=KE =58725AB=KE >?@545;O5BAO ?> D>@<C;5  EMBED Equation.3 , 345  EMBED Equation.3   G8A;> =58725AB=KE 2 8AE>4=>9 A8AB5<5,  EMBED Equation.3   @0=3 <0B@8FK A8AB5<K (A>2?040NI89 A @0=3>< @0AH8@5==>9 <0B@8FK 2 A8;C A>2<5AB=>AB8 A8AB5<K).  40==>< A;CG05  EMBED Equation.3 . >;>68<  EMBED Equation.3 ; B>340  EMBED Equation.3 .  8B>35 ?>;CG05< >1I55 @5H5=85 A8AB5<K:  EMBED Equation.3 , 345  EMBED Equation.3   ?@>872>;L=0O ?>AB>O==0O. @84020O ?>AB>O==>9  EMBED Equation.3  @07;8G=K5 459AB28B5;L=K5 7=0G5=8O, ?>;CG05< 15A:>=5G=>5 <=>65AB2> @5H5=89 8AE>4=>9 A8AB5<K. @8 65;0=88 <>6=> ?@>8725AB8 ?@>25@:C:  EMBED Equation.3 . @8<5@ 3. 5H8BL A8AB5<C  EMBED Equation.3  0==0O A8AB5<0 apriori O2;O5BAO A>2<5AB=>9, B.:. >=0 >4=>@>4=0 (2A5 A2>1>4=K5 G;5=K @02=K =C;N). 4=>@>4=0O A8AB5<0 2A5340 8<55B =C;52>5 (8;8 B@8280;L=>5) @5H5=85:  EMBED Equation.3 . ;O >4=>@>4=KE A8AB5< >A>1K9 8=B5@5A ?@54AB02;O5B 2>?@>A > ACI5AB2>20=88 =5=C;52KE (8;8 =5B@8280;L=KE) @5H5=89. "0: =07K20NB 2AO:>5 @5H5=85 A8AB5<K, C :>B>@>3> 7=0G5=85 E>BL >4=>3> =58725AB=>3> >B;8G=> >B =C;O. @5>1@07C5< @0AH8@5==CN <0B@8FC A8AB5<K:  EMBED Equation.3 ~  EMBED Equation.3 . <55<  EMBED Equation.3   A8AB5<0 A>2<5AB=0. ">340  EMBED Equation.3   :>;8G5AB2> A2>1>4=KE =58725AB=KE. >;030O  EMBED Equation.3  (345  EMBED Equation.3   ?@>872>;L=0O ?>AB>O==0O), ?>;CG8<  EMBED Equation.3  BAN40  EMBED Equation.3 ,  EMBED Equation.3 . "0:8< >1@07><, >1I55 @5H5=85 A8AB5<K 8<55B 284  EMBED Equation.3 , 345  EMBED Equation.3   ?@>872>;L=0O ?>AB>O==0O. 0: <K >B<5G0;8 @0=55, A8AB5<0 ;8=59=KE C@02=5=89 <>65B ;81> 2>2A5 =5 8<5BL @5H5=89, ;81> 8<5BL 548=AB25==>5 @5H5=85, ;81> 8<5BL 8E =5A:>;L:> (2 ?>A;54=5< A;CG05, >:07K205BAO, A8AB5<0 2A5340 8<55B 15A:>=5G=>5 <=>65AB2> @5H5=89). -B> CB25@645=85 8AG5@?K205B 2A5 2>7<>6=K5 A8BC0F88. @8 87;>65=88 (=0 ?@8<5@0E) <5B>40 0CAA0 <K ?>;CG8;8 2>7<>6=>ABL M2@8AB8G5A:8 40BL >B25B =0 2>?@>A > G8A;5 @5H5=89 (2 A;CG05 A>2<5AB=>AB8 A8AB5<K). !B@>389 >B25B =0 MB>B 2>?@>A 405B A;54CNI0O B5>@5<0. "5>@5<0 (> G8A;5 @5H5=89). CABL 4;O A8AB5<K  EMBED Equation.3  ;8=59=KE C@02=5=89 A  EMBED Equation.3  =58725AB=K<8 2K?>;=5=> CA;>285 A>2<5AB=>AB8, B.5. @0=3  EMBED Equation.3  <0B@8FK A8AB5<K @025= @0=3C 55 @0AH8@5==>9 <0B@8FK. ">340, 5A;8 @0=3 <0B@8FK A8AB5<K @025= G8A;C =58725AB=KE ( EMBED Equation.3 ), B> A8AB5<0 8<55B 548=AB25==>5 @5H5=85. A;8 65 @0=3 <0B@8FK A8AB5<K <5=LH5 G8A;0 =58725AB=KE ( EMBED Equation.3 ), B> A8AB5<0 8<55B 15A:>=5G=>5 <=>65AB2> @5H5=89, 0 8<5==>: =5:>B>@K<  EMBED Equation.3  =58725AB=K< <>6=> ?@84020BL ?@>872>;L=K5 7=0G5=8O, B>340 >AB02H85AO  EMBED Equation.3  =58725AB=KE >?@545;OBAO C65 548=AB25==K< >1@07><. (57 4>:070B5;LAB20) #?@06=5=85. 5H8BL A8AB5<C  EMBED Equation.3  " + (+)  !" !" 1. >=OB85 25:B>@=>3> ?@>AB@0=AB20. ?@545;5=85. =>65AB2>  EMBED Equation.3  M;5<5=B>2 ;N1>9 ?@8@>4K =07K205BAO 25:B>@=K< ?@>AB@0=AB2><, 5A;8 2K?>;=5=K A;54CNI85 B@8 B@51>20=8O: <55BAO ?@028;>, ?>A@54AB2>< :>B>@>3> ;N1K< 42C< M;5<5=B0<  EMBED Equation.3  AB028BAO 2 A>>B25BAB285 B@5B89 M;5<5=B MB>3> <=>65AB20, =07K205<K9 AC<<>9 M;5<5=B>2  EMBED Equation.3  8  EMBED Equation.3  8 >1>7=0G05<K9 A8<2>;><  EMBED Equation.3 . <55BAO ?@028;>, ?>A@54AB2>< :>B>@>3> ;N1><C M;5<5=BC  EMBED Equation.3  8 ;N1><C G8A;C  EMBED Equation.3  ( EMBED Equation.3 ) AB028BAO 2 A>>B25BAB285 M;5<5=B MB>3> <=>65AB20, =07K205<K9 ?@>872545=85< M;5<5=B0  EMBED Equation.3  =0 G8A;>  EMBED Equation.3  8 >1>7=0G05<K9 A8<2>;><  EMBED Equation.3 . ;O ;N1KE M;5<5=B>2  EMBED Equation.3  8 ;N1KE G8A5;  EMBED Equation.3  8  EMBED Equation.3  2K?>;=5=K A;54CNI85 0:A8><K:  EMBED Equation.3 ;  EMBED Equation.3 ;  EMBED Equation.3 . -B>B M;5<5=B  EMBED Equation.3  ?@>AB@0=AB20  EMBED Equation.3  =07K20NB =C;52K< (=5 ?CB0BL A G8A;><  EMBED Equation.3 !);  EMBED Equation.3 . "0:>9 M;5<5=B  EMBED Equation.3  =07K20NB ?@>B82>?>;>6=K< 4;O  EMBED Equation.3 ;  EMBED Equation.3 ;  EMBED Equation.3 ;  EMBED Equation.3 ;  EMBED Equation.3 . 0<5G0=85 1. A;8 2 ?C=:B5 II <K >3@0=8G8205<AO 25I5AB25==K<8 G8A;0<8, B>  EMBED Equation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quation.3  35><5B@8G5A:8E 25:B>@>2 =0 ?;>A:>AB8. @>AB@0=AB2>  EMBED Equation.3  35><5B@8G5A:8E 25:B>@>2 2 B@5E<5@=>< ?@>AB@0=AB25. =>65AB2>  EMBED Equation.3  <=>3>G;5=>2 A 25I5AB25==K<8 :>MDD8F85=B0<8 AB5?5=8 =5 2KH5  EMBED Equation.3  >1@07C5B 25:B>@=>5 ?@>AB@0=AB2> >B=>A8B5;L=> >?5@0F89 A;>65=8O <=>3>G;5=>2 8 C<=>65=8O <=>3>G;5=0 =0 25I5AB25==>5 G8A;>. =>65AB2>  EMBED Equation.3  <0B@8F >48=0:>2KE @07<5@>2 >1@07CNB 25:B>@=>5 ?@>AB@0=AB2> >B=>A8B5;L=> >?5@0F89 A;>65=8O <0B@8F 8 C<=>65=8O <0B@8FK =0 G8A;>.  G0AB=>AB8, G0AB> 2AB@5G05BAO 8 8A?>;L7C5BAO 25:B>@=>5 ?@>AB@0=AB2> <0B@8F-AB@>:  EMBED Equation.3  ( EMBED Equation.3 ). ;O =53> ?@8=OB> 4@C3>5 >1>7=0G5=85   EMBED Equation.3  ( EMBED Equation.3 ). -;5<5=B0<8 MB>3> 25:B>@=>3> ?@>AB@0=AB20 A;C60B C?>@O4>G5==K5 A>2>:C?=>AB8  EMBED Equation.3  ?@>872>;L=KE 25I5AB25==KE (:><?;5:A=KE) G8A5;  EMBED Equation.3 . (5AB0=40@B=K9 ?@8<5@). 0AA<>B@8< <=>65AB2>  EMBED Equation.3  2A5E ?>;>68B5;L=KE 25I5AB25==KE G8A5;. ?@545;8< AC<<C 42CE M;5<5=B>2  EMBED Equation.3  :0: ?@>872545=85 25I5AB25==KE G8A5;  EMBED Equation.3  8  EMBED Equation.3  (?>=8<05<>5 2 >1KG=>< A<KA;5):  EMBED Equation.3 . @>872545=85 M;5<5=B0  EMBED Equation.3  =0 25I5AB25==>5 G8A;>  EMBED Equation.3  >?@545;8< :0: 2>72545=85 G8A;0  EMBED Equation.3  2 AB5?5=L  EMBED Equation.3 :  EMBED Equation.3 . C;52K< M;5<5=B>< ?@>AB@0=AB20 1C45B A;C68BL 25I5AB25==>5 G8A;>  EMBED Equation.3 , 0 ?@>B82>?>;>6=K< M;5<5=B>< (4;O 40==>3> M;5<5=B0  EMBED Equation.3 ) 1C45B G8A;>  EMBED Equation.3 . @>25@LB5 2K?>;=5=85 0:A8>< 25:B>@=>3> ?@>AB@0=AB20 (:>B>@K5 2 >1KG=>9 70?8A8 ?@8=8<0NB 4@C3>9 284: 2<5AB>  EMBED Equation.3  <K 8<55<  EMBED Equation.3  8 B.4.).  MB>< ?@8<5@5, 1KBL <>65B, 4;O >1>7=0G5=8O AC<<K M;5<5=B>2 ?@>AB@0=AB20 8 4;O ?@>872545=8O M;5<5=B0 ?@>AB@0=AB20 =0 G8A;> ?@54?>GB8B5;L=55 4@C385 >1>7=0G5=8O (=0?@8<5@,  EMBED Equation.3  8  EMBED Equation.3 ). 2. 5:>B>@K5 A2>9AB20 ?@>872>;L=KE 25:B>@=KE ?@>AB@0=AB2. 7 >?@545;5=8O 25:B>@=>3> ?@>AB@0=AB20 A;54C5B @O4 CB25@645=89, A?@0254;82KE 4;O ?@>872>;L=KE 25:B>@=KE ?@>AB@0=AB2. 1)  25:B>@=>< ?@>AB@0=AB25 ACI5AB2C5B 548=AB25==K9 =C;52>9 M;5<5=B.  EMBED Equation.3 @54?>;>68<, GB> 2 ?@>AB@0=AB25 ACI5AB2CNB 420 =C;52KE M;5<5=B0  EMBED Equation.3  8  EMBED Equation.3 . ">340, ?>;030O 2 0:A8><5 3 A=0G0;0  EMBED Equation.3 ,  EMBED Equation.3 , 0 70B5<  EMBED Equation.3 ,  EMBED Equation.3 , ?>;CG8< 420 @025=AB20  EMBED Equation.3  8  EMBED Equation.3 , ;52K5 G0AB8 :>B>@KE @02=K 2 A8;C 0:A8><K 1. !;54>20B5;L=>, @02=K 8 ?@02K5 G0AB8 MB8E @025=AB2, B.5.  EMBED Equation.3 , 8 548=AB25==>ABL =C;52>3> M;5<5=B0 CAB0=>2;5=0.% 2) ;O :064>3> M;5<5=B0 25:B>@=>3> ?@>AB@0=AB20 ACI5AB2C5B 548=AB25==K9 ?@>B82>?>;>6=K9 M;5<5=B.  EMBED Equation.3 @54?>;>68<, GB> 4;O =5:>B>@>3> M;5<5=B0  EMBED Equation.3  ACI5AB2CNB 420 ?@>B82>?>;>6=KE M;5<5=B0  EMBED Equation.3  8  EMBED Equation.3 , B0: GB>  EMBED Equation.3  8  EMBED Equation.3 . > B>340 2 A8;C 0:A8>< 3, 2 8 1 ?>;CG8<  EMBED Equation.3 , B.5.  EMBED Equation.3 , 8 548=AB25==>ABL 4;O :064>3>  EMBED Equation.3  ?@>B82>?>;>6=>3> M;5<5=B0 4>:070=0. % 3)  EMBED Equation.3 .  EMBED Equation.3 CABL  EMBED Equation.3   ?@>872>;L=K9 M;5<5=B, 0  EMBED Equation.3   5<C ?@>B82>?>;>6=K9. >A;54>20B5;L=> ?@8<5=OO 0:A8><K 25:B>@=>3> ?@>AB@0=AB20 (3, 4, 2, 5, 1, 7, 5, 4), 1C45< 8<5BL  EMBED Equation.3   EMBED Equation.3 . % 4) ;O ;N1>3> M;5<5=B0  EMBED Equation.3  ?@>B82>?>;>6=K9 5<C M;5<5=B  EMBED Equation.3  @025= ?@>872545=8N M;5<5=B0  EMBED Equation.3  =0 G8A;>  EMBED Equation.3 , B.5.  EMBED Equation.3 .  EMBED Equation.3 <55<:  EMBED Equation.3 , B0: GB> M;5<5=B  EMBED Equation.3  O2;O5BAO ?@>B82>?>;>6=K< 4;O  EMBED Equation.3 . % B<5B8< B0:65, GB> 87 >?@545;5=8O 25:B>@=>3> ?@>AB@0=AB20 A;54C5B ACI5AB2>20=85 8 548=AB25==>ABL @07=>AB8 ;N1KE 42CE M;5<5=B>2 25:B>@=>3> ?@>AB@0=AB20  EMBED Equation.3  8  EMBED Equation.3 , :>B>@0O >?@545;O5BAO :0: M;5<5=B  EMBED Equation.3 , C4>2;5B2>@ONI89 CA;>28N  EMBED Equation.3 . -B8< M;5<5=B>< A;C68B AC<<0  EMBED Equation.3 . / !!",  !!", !!" " . !   !",. 1. 8=59=> 7028A8<K5 8 =57028A8<K5 A8AB5<K 25:B>@>2. CABL  EMBED Equation.3   ?@>872>;L=>5 25I5AB25==>5 25:B>@=>5 ?@>AB@0=AB2>,  EMBED Equation.3 ,  EMBED Equation.3 . 8=59=>9 :><18=0F859 25:B>@>2  EMBED Equation.3  A :>MDD8F85=B0<8  EMBED Equation.3  =07K205BAO 25:B>@  EMBED Equation.3 , ?>;CG05<K9 ?> ?@028;C  EMBED Equation.3 . 8=59=0O :><18=0F8O  EMBED Equation.3  =07K205BAO =5B@8280;L=>9, 5A;8 2 =59 E>BO 1K >48= 87 :>MDD8F85=B>2  EMBED Equation.3  >B;8G5= >B =C;O. 8=59=0O :><18=0F8O 2840  EMBED Equation.3  =07K205BAO B@8280;L=>9; >=0, >G5284=>, @02=0 =C;52><C 25:B>@C  EMBED Equation.3 . ?@545;5=85. !8AB5<0 25:B>@>2  EMBED Equation.3  =07K205BAO ;8=59=> 7028A8<>9, 5A;8 ACI5AB2C5B E>BO 1K >4=0 =5B@8280;L=0O ;8=59=0O :><18=0F8O MB8E 25:B>@>2, @02=0O =C;52><C 25:B>@C.  ?@>B82=>< A;CG05, B.5. 5A;8 B>;L:> B@8280;L=0O ;8=59=0O :><18=0F8O 40==KE 25:B>@>2 @02=0 =C;52><C 25:B>@C, 25:B>@K =07K20NBAO ;8=59=> =57028A8<K<8. "5>@5<0 (:@8B5@89 ;8=59=>9 7028A8<>AB8). ;O B>3> GB>1K A8AB5<0 25:B>@>2  EMBED Equation.3  ;8=59=>3> ?@>AB@0=AB20 1K;0 ;8=59=> 7028A8<>9, =5>1E>48<> 8 4>AB0B>G=>, GB>1K, ?> :@09=59 <5@5, >48= 87 MB8E 25:B>@>2 O2;O;AO ;8=59=>9 :><18=0F859 >AB0;L=KE.  EMBED Equation.3 5>1E>48<>ABL. CABL 25:B>@K  EMBED Equation.3  ;8=59=> 7028A8<K, B.5. A?@0254;82> @025=AB2>  EMBED Equation.3 , 2 :>B>@>< E>BO 1K >4=> 87 G8A5;  EMBED Equation.3  >B;8G=> >B =C;O. CABL, 4;O >?@545;5==>AB8,  EMBED Equation.3 . ">340, @0745;82 >15 G0AB8 ?>A;54=53> @025=AB20 =0  EMBED Equation.3 , <K <>65< ?5@5?8A0BL 53> 2 2845  EMBED Equation.3 . >A;54=55 8 >7=0G05B, GB> 25:B>@  EMBED Equation.3  5ABL ;8=59=0O :><18=0F8O 25:B>@>2  EMBED Equation.3 . >AB0B>G=>ABL. CABL >48= 87 25:B>@>2 (=0?@8<5@,  EMBED Equation.3 ) O2;O5BAO ;8=59=>9 :><18=0F859 >AB0;L=KE. -B> >7=0G05B, GB> =094CBAO G8A;0  EMBED Equation.3  B0:85, GB> A?@0254;82> @025=AB2>  EMBED Equation.3 . -B> @025=AB2> <>6=> ?5@5?8A0BL 2 2845  EMBED Equation.3 . "0: :0: A@548 G8A5;  EMBED Equation.3  ?> :@09=59 <5@5 >4=> >B;8G=> >B =C;O, B> ?>A;54=55 @025=AB2> CAB0=02;8205B ;8=59=CN 7028A8<>ABL 25:B>@>2  EMBED Equation.3 .% >:065< 5I5 420 ?@>ABKE, => 206=KE ?@54;>65=8O > ;8=59=>9 7028A8<>AB8. 1) A;8 A@548 25:B>@>2  EMBED Equation.3  8<55BAO E>BO 1K >48= =C;52>9 25:B>@, B> 2AO A8AB5<0 25:B>@>2 ;8=59=> 7028A8<0.  EMBED Equation.3  A0<>< 45;5, 5A;8, =0?@8<5@,  EMBED Equation.3 , B>, ?>;030O  EMBED Equation.3 , 8<55< =5B@8280;L=CN ;8=59=CN :><18=0F8N  EMBED Equation.3 .% 2) A;8 A@548 25:B>@>2  EMBED Equation.3  =5:>B>@K5 >1@07CNB ;8=59=> 7028A8<CN A8AB5<C, B> 8 2AO A8AB5<0  EMBED Equation.3  ;8=59=> 7028A8<0.  EMBED Equation.3 59AB28B5;L=>, ?CABL 25:B>@K  EMBED Equation.3 ,  EMBED Equation.3 , ;8=59=> 7028A8<K. =0G8B, ACI5AB2C5B =5B@8280;L=0O ;8=59=0O :><18=0F8O  EMBED Equation.3 , @02=0O =C;52><C 25:B>@C. > B>340, ?>;030O  EMBED Equation.3 , ?>;CG8< B0:65 =5B@8280;L=CN ;8=59=CN :><18=0F8N  EMBED Equation.3 , @02=CN =C;52><C 25:B>@C. % #?@06=5=85. >:068B5, GB> 2AO:0O G0ABL ;8=59=> =57028A8<>3> =01>@0 25:B>@>2 O2;O5BAO ;8=59=> =57028A8<K< =01>@><. 2. 078A 8 @07<5@=>ABL. $C=40<5=B0;L=K< 2>?@>A>< B5>@88 25:B>@=KE ?@>AB@0=AB2 O2;O5BAO 2>?@>A > B><, <>6=> ;8, 0 5A;8 <>6=>, B> :0:, ?@>872>;L=K9 25:B>@ ?@>AB@0=AB20 ?@54AB028BL 2 2845 ;8=59=>9 :><18=0F88 D8:A8@>20==>3> =01>@0 25:B>@>2 87 MB>3> ?@>AB@0=AB20. 0;55 <K ?>;CG8< >B25B =0 MB>B 2>?@>A. ?@545;5=85. !8AB5<0 ;8=59=> =57028A8<KE 25:B>@>2  EMBED Equation.3  25:B>@=>3> ?@>AB@0=AB20  EMBED Equation.3  =07K205BAO 1078A>< MB>3> ?@>AB@0=AB20, 5A;8 ;N1>9 25:B>@ 87  EMBED Equation.3  <>65B 1KBL ?@54AB02;5= 2 2845 ;8=59=>9 :><18=0F88 25:B>@>2 MB>9 A8AB5<K, B.5. 4;O :064>3> 25:B>@0  EMBED Equation.3  ACI5AB2CNB 25I5AB25==K5 G8A;0  EMBED Equation.3  B0:85, GB> 8<55B <5AB> @025=AB2>  EMBED Equation.3 . -B> @025=AB2> =07K205BAO @07;>65=85< 25:B>@0  EMBED Equation.3  ?> 1078AC  EMBED Equation.3 , 0 G8A;0  EMBED Equation.3  =07K20NBAO :>>@48=0B0<8 25:B>@0  EMBED Equation.3  >B=>A8B5;L=> 1078A0 (8;8 2 1078A5)  EMBED Equation.3 . #?@06=5=85. >:068B5, GB> 1078A O2;O5BAO <0:A8<0;L=K< ;8=59=> =57028A8<K< =01>@>< 25:B>@>2: ;N1>9 =01>@, A>45@60I89 53> :0: A>1AB25==>5 ?>4<=>65AB2>, ;8=59=> 7028A8<. "5>@5<0 (> 548=AB25==>AB8 @07;>65=8O ?> 1078AC). 064K9 25:B>@  EMBED Equation.3  ?@>AB@0=AB20  EMBED Equation.3  <>65B 1KBL @07;>65= ?> 1078AC  EMBED Equation.3  548=AB25==K< >1@07><, B.5. :>>@48=0BK :064>3> 25:B>@0  EMBED Equation.3  2 1078A5  EMBED Equation.3  >?@545;ONBAO >4=>7=0G=>.  EMBED Equation.3 >?CAB8<, GB> 4;O =5:>B>@>3> M;5<5=B0  EMBED Equation.3  ACI5AB2CNB 420 @07;>65=8O ?> >4=><C 8 B><C 65 1078AC:  EMBED Equation.3  8  EMBED Equation.3 . KG8B0O ?>G;5==> 87 ?5@2>3> @025=AB20 2B>@>5, ?>;CG8<  EMBED Equation.3 .  A8;C ;8=59=>9 =57028A8<>AB8 1078A=KE 25:B>@>2  EMBED Equation.3  ?>A;54=55 @025=AB2> 2>7<>6=> B>340 8 B>;L:> B>340, :>340  EMBED Equation.3  8;8  EMBED Equation.3 . 48=AB25==>ABL @07;>65=8O ?> 1078AC 4>:070=0. % ;02=>5 7=0G5=85 1078A0 70:;NG05BAO 2 B><, GB> >?5@0F88 A;>65=8O 25:B>@>2 8 C<=>65=8O 8E =0 G8A;0 ?@8 7040=88 1078A0 ?@52@0I0NBAO 2 A>>B25BAB2CNI85 >?5@0F88 =04 G8A;0<8  :>>@48=0B0<8 MB8E 25:B>@>2.  8<5==>, A?@0254;820 A;54CNI0O "5>@5<0. @8 A;>65=88 42CE ;N1KE 25:B>@>2 ;8=59=>3> ?@>AB@0=AB20  EMBED Equation.3  8E :>>@48=0BK (>B=>A8B5;L=> ;N1>3> 1078A0 ?@>AB@0=AB20) A:;04K20NBAO; ?@8 C<=>65=88 ?@>872>;L=>3> 25:B>@0 =0 ;N1>5 G8A;>  EMBED Equation.3  2A5 :>>@48=0BK MB>3> 25:B>@0 C<=>60NBAO =0  EMBED Equation.3 .  EMBED Equation.3 CABL  EMBED Equation.3   ?@>872>;L=K9 1078A ?@>AB@0=AB20  EMBED Equation.3 , 0  EMBED Equation.3  8  EMBED Equation.3   ;N1K5 420 M;5<5=B0 MB>3> ?@>AB@0=AB20. ">340 87 0:A8>< 25:B>@=>3> ?@>AB@0=AB20 ?>;CG05<:  EMBED Equation.3 ,  EMBED Equation.3 .  A8;C 548=AB25==>AB8 @07;>65=8O ?> 1078AC B5>@5<0 4>:070=0. % @8<5@. AA;54C5< 2>?@>A > 1078A5 ?@>AB@0=AB20  EMBED Equation.3 , 22545==>3> @0=55 ?@8 @0AA<>B@5=88 ?@8<5@>2 25:B>@=KE ?@>AB@0=AB2. >:065<, GB>  EMBED Equation.3  M;5<5=B>2  EMBED Equation.3  C:070==>3> ?@>AB@0=AB20 >1@07CNB 1078A.  EMBED Equation.3 >-?5@2KE, MB8 25:B>@K ;8=59=> =57028A8<K. @>25@:0 ;8=59=>9 =57028A8<>AB8 =01>@0  EMBED Equation.3  A>AB>8B 2 >?@545;5=88 7=0G5=89  EMBED Equation.3 , ?@8 :>B>@KE 2>7<>6=> @025=AB2>  EMBED Equation.3 . > 2 A8;C B>;L:> GB> 4>:070==>9 B5>@5<K  EMBED Equation.3 , 0 ?>A;54=89 25:B>@ O2;O5BAO =C;52K< ;8HL ?@8 CA;>288  EMBED Equation.3 . >-2B>@KE, 2AO:89 25:B>@  EMBED Equation.3  70254><> ?@54AB028< 2 2845 ;8=59=>9 :><18=0F88 25:B>@>2  EMBED Equation.3 :  EMBED Equation.3  8, 7=0G8B, =01>@  EMBED Equation.3  >1@07C5B 1078A. % ?@545;5=85. 5:B>@=>5 ?@>AB@0=AB2>  EMBED Equation.3  =07K205BAO  EMBED Equation.3 -<5@=K<, 5A;8 2 =5< ACI5AB2CNB  EMBED Equation.3  ;8=59=> =57028A8<KE 25:B>@>2, 0 ;N1K5  EMBED Equation.3  25:B>@>2 C65 O2;ONBAO ;8=59=> 7028A8<K<8. @8 MB>< G8A;>  EMBED Equation.3  =07K205BAO @07<5@=>ABLN ?@>AB@0=AB20  EMBED Equation.3 . 07<5@=>ABL 25:B>@=>3> ?@>AB@0=AB20, A>AB>OI53> 87 >4=>3> =C;52>3> 25:B>@0, ?@8=8<05BAO @02=>9 =C;N. 07<5@=>ABL ?@>AB@0=AB20  EMBED Equation.3  >1KG=> >1>7=0G0NB A8<2>;><  EMBED Equation.3 . ?@545;5=85. 5:B>@=>5 ?@>AB@0=AB2>  EMBED Equation.3  =07K205BAO 15A:>=5G=><5@=K<, 5A;8 2 =5< ACI5AB2C5B ;N1>5 G8A;> ;8=59=> =57028A8<KE 25:B>@>2.  MB>< A;CG05 ?8HCB  EMBED Equation.3 . KOA=8< A2O7L <564C ?>=OB8O<8 1078A0 8 @07<5@=>AB8 ?@>AB@0=AB20. "5>@5<0. A;8  EMBED Equation.3   25:B>@=>5 ?@>AB@0=AB2> @07<5@=>AB8  EMBED Equation.3 , B> ;N1K5  EMBED Equation.3  ;8=59=> =57028A8<KE 25:B>@>2 MB>3> ?@>AB@0=AB20 >1@07CNB 53> 1078A.  EMBED Equation.3 CABL  EMBED Equation.3   ?@>872>;L=0O A8AB5<0  EMBED Equation.3  ;8=59=> =57028A8<KE 25:B>@>2 ?@>AB@0=AB20  EMBED Equation.3  (ACI5AB2>20=85 E>BO 1K >4=>9 B0:>9 A8AB5<K A;54C5B 87 >?@545;5=8O  EMBED Equation.3 -<5@=>3> ?@>AB@0=AB20). A;8  EMBED Equation.3   ;N1>9 25:B>@ ?@>AB@0=AB20  EMBED Equation.3 , B> A>3;0A=> >?@545;5=8N A8AB5<0 87  EMBED Equation.3  25:B>@>2  EMBED Equation.3  ;8=59=> 7028A8<0, B.5. =094CBAO =5 2A5 @02=K5 =C;N G8A;0  EMBED Equation.3  B0:85, GB> A?@0254;82> @025=AB2>  EMBED Equation.3 . (9) 0<5B8<, GB> G8A;>  EMBED Equation.3  70254><> >B;8G=> >B =C;O (81> 2 ?@>B82=>< A;CG05 87 @025=AB20 (9) 2KB5:0;0 1K ;8=59=0O 7028A8<>ABL 25:B>@>2  EMBED Equation.3 ). > B>340, 45;O @025=AB2> (9) =0  EMBED Equation.3  8 ?>;030O  EMBED Equation.3 , ?>;CG05< 87 (9)  EMBED Equation.3 . "0: :0:  EMBED Equation.3   ?@>872>;L=K9 M;5<5=B 87  EMBED Equation.3 , B> ?>A;54=55 @025=AB2> 4>:07K205B, GB> A8AB5<0 25:B>@>2  EMBED Equation.3  O2;O5BAO 1078A>< ?@>AB@0=AB20  EMBED Equation.3 . % "5>@5<0. A;8 25:B>@=>5 ?@>AB@0=AB2>  EMBED Equation.3  8<55B 1078A, A>AB>OI89 87  EMBED Equation.3  25:B>@>2, B>  EMBED Equation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quation.3  =07K205BAO 25I5AB25==K< 52:;84>2K< ?@>AB@0=AB2>< (8;8 ?@>AB> 52:;84>2K< ?@>AB@0=AB2><), 5A;8 2K?>;=5=K A;54CNI85 420 B@51>20=8O: <55BAO ?@028;>, ?>A@54AB2>< :>B>@>3> ;N1K< 42C< M;5<5=B0< MB>3> ?@>AB@0=AB20  EMBED Equation.3  8  EMBED Equation.3  AB028BAO 2 A>>B25BAB285 25I5AB25==>5 G8A;>, =07K205<>5 A:0;O@=K< ?@>872545=85< MB8E M;5<5=B>2 (8 >1>7=0G05<>5 A8<2>;><  EMBED Equation.3 ). #:070==>5 ?@028;> ?>4G8=5=> A;54CNI8< G5BK@5< 0:A8><0<:  EMBED Equation.3  (:><<CB0B82=>ABL 8;8 A8<<5B@8O);  EMBED Equation.3  (48AB@81CB82=>ABL A:0;O@=>3> ?@>872545=8O >B=>A8B5;L=> A;>65=8O);  EMBED Equation.3   EMBED Equation.3 ;  EMBED Equation.3 , 5A;8  EMBED Equation.3 ;  EMBED Equation.3 , 5A;8  EMBED Equation.3 . @8<5@ 1. 0AA<>B@8< 25:B>@=K5 ?@>AB@0=AB20  EMBED Equation.3  8;8  EMBED Equation.3  35><5B@8G5A:8E 25:B>@>2 =0 ?;>A:>AB8 8;8 2 ?@>AB@0=AB25. !:0;O@=>5 ?@>872545=85 ;N1KE 42CE 25:B>@>2 >?@545;8< AB0=40@B=K< >1@07>< (:0: ?@>872545=85 4;8= MB8E 25:B>@>2 =0 :>A8=CA C3;0 <564C =8<8).  :C@A5 0=0;8B8G5A:>9 35><5B@88 4>:07K205BAO, GB> 2 MB>< A;CG05 2K?>;=ONBAO 0:A8><K 1)  4). !;54>20B5;L=>, ?@>AB@0=AB20  EMBED Equation.3  8  EMBED Equation.3  O2;ONBAO 52:;84>2K<8 ?@>AB@0=AB20<8. @8<5@ 2. 0AA<>B@8<  EMBED Equation.3 -<5@=>5 :>>@48=0B=>5 ?@>AB@0=AB2>  EMBED Equation.3 . A;8  EMBED Equation.3 ,  EMBED Equation.3 , B> A:0;O@=>5 ?@>872545=85  EMBED Equation.3  >?@545;8< @025=AB2><  EMBED Equation.3 .  MB>< A;CG05 2K?>;=5=85 0:A8>< 1)  4) ;53:> ?@>25@O5BAO. !;54CNI0O B5>@5<0 A?@0254;820 4;O A>25@H5==> ?@>872>;L=>3> 52:;84>20 ?@>AB@0=AB20 :0: :>=5G=>9, B0: 8 15A:>=5G=>9 @07<5@=>AB8. "5>@5<0. ;O ;N1KE 42CE M;5<5=B>2  EMBED Equation.3  8  EMBED Equation.3  52:;84>20 ?@>AB@0=AB20 A?@0254;82> =5@025=AB2>  EMBED Equation.3 , =07K205<>5 =5@025=AB2>< >H8-C=O:>2A:>3>.  EMBED Equation.3 ;O ;N1>3> 25I5AB25==>3> G8A;0  EMBED Equation.3  2 A8;C 0:A8><K 4) A:0;O@=>3> ?@>872545=8O A?@0254;82> =5@025=AB2>  EMBED Equation.3 .  A8;C 0:A8>< 1)  3) ?>A;54=55 =5@025=AB2> <>6=> ?5@5?8A0BL 2 2845  EMBED Equation.3 . 5>1E>48<K< 8 4>AB0B>G=K< CA;>285< =5>B@8F0B5;L=>AB8 ?>A;54=53> :204@0B=>3> B@5EG;5=0 O2;O5BAO =5?>;>68B5;L=>ABL 53> 48A:@8<8=0=B0  EMBED Equation.3 :  EMBED Equation.3 . 7 =5@025=AB20  EMBED Equation.3  A@07C 65 A;54C5B =5@025=AB2> >H8-C=O:>2A:>3>.  B>< A;CG05, :>340  EMBED Equation.3  :204@0B=K9 B@5EG;5=  EMBED Equation.3  2K@>6405BAO 2 ;8=59=CN DC=:F8N. > 2 MB>< A;CG05 M;5<5=B  EMBED Equation.3  O2;O5BAO =C;52K<, B0: GB>  EMBED Equation.3 , 8 =5@025=AB2>  EMBED Equation.3  B0:65 A?@0254;82>. % 0H0 >G5@54=0O 7040G0  225AB8 2 ?@>872>;L=>< 52:;84>2>< ?@>AB@0=AB25 ?>=OB85 =>@<K (8;8 4;8=K) :064>3> M;5<5=B0. ;O MB>3> 22545< ?>=OB85 =>@<8@>20==>3> ?@>AB@0=AB20. ?@545;5=85. 5:B>@=>5 ?@>AB@0=AB2>  EMBED Equation.3  =07K205BAO =>@<8@>20==K<, 5A;8 2K?>;=5=K A;54CNI85 420 B@51>20=8O: <55BAO ?@028;>, ?>A@54AB2>< :>B>@>3> :064><C M;5<5=BC  EMBED Equation.3  AB028BAO 2 A>>B25BAB285 25I5AB25==>5 G8A;>, =07K205<>5 =>@<>9 (8;8 4;8=>9) C:070==>3> M;5<5=B0 8 >1>7=0G05<>5 A8<2>;><  EMBED Equation.3 . #:070==>5 ?@028;> ?>4G8=5=> A;54CNI8< B@5< 0:A8><0<:  EMBED Equation.3 , 5A;8  EMBED Equation.3 ;  EMBED Equation.3 , 5A;8  EMBED Equation.3 ;  EMBED Equation.3   EMBED Equation.3 ,  EMBED Equation.3 ;  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  (=5@025=AB2> B@5C3>;L=8:0). "5>@5<0. AO:>5 52:;84>2> ?@>AB@0=AB2> O2;O5BAO =>@<8@>20==K<, 5A;8 2 =5< =>@<C ;N1>3> M;5<5=B0  EMBED Equation.3  >?@545;8BL @025=AB2><  EMBED Equation.3 . (10)  EMBED Equation.3 >AB0B>G=> 4>:070BL, GB> 4;O =>@<K, >?@545;5==>9 A>>B=>H5=85< (10), A?@0254;82K 0:A8><K 1)  3) 87 >?@545;5=8O =>@<8@>20==>3> ?@>AB@0=AB20. !?@0254;82>ABL 4;O =>@<K 0:A8><K 1) A;54C5B 87 0:A8><K 4) A:0;O@=>3> ?@>872545=8O. !?@0254;82>ABL 4;O =>@<K 0:A8><K 2) A;54C5B 87 0:A8>< 1) 8 3) A:0;O@=>3> ?@>872545=8O. AB05BAO C1548BLAO 2 A?@0254;82>AB8 4;O =>@<K 0:A8><K 3), B.5. =5@025=AB20 B@5C3>;L=8:0. >A?>;L7C5<AO =5@025=AB2>< >H8-C=O:>2A:>3>, :>B>@>5 ?5@5?8H5< 2 2845  EMBED Equation.3 . (11) ! ?><>ILN ?>A;54=53> =5@025=AB20, 0:A8>< A:0;O@=>3> ?@>872545=8O 8 @025=AB20 (10), ?>;CG05<  EMBED Equation.3  "5>@5<0 4>:070=0. %  ;N1>< 25I5AB25==>< 52:;84>2>< ?@>AB@0=AB25 <>6=> 225AB8 ?>=OB85 C3;0 <564C 42C<O ?@>872>;L=K<8 M;5<5=B0<8  EMBED Equation.3  8  EMBED Equation.3  MB>3> ?@>AB@0=AB20. =0;>38G=> B><C, :0: MB> 45;05BAO 2 :C@A5 0=0;8B8G5A:>9 35><5B@88 (=0 ?;>A:>AB8 8 2 ?@>AB@0=AB25), <K =07>25< C3;><  EMBED Equation.3  <564C M;5<5=B0<8  EMBED Equation.3  8  EMBED Equation.3  B>B (87<5=ONI89AO 2 ?@545;0E >B  EMBED Equation.3  4>  EMBED Equation.3 ) C3>;, :>A8=CA :>B>@>3> >?@545;O5BAO A>>B=>H5=85<  EMBED Equation.3 . 0==>5 =0<8 >?@545;5=85 C3;0 :>@@5:B=>, 81> 2 A8;C =5@025=AB20 >H8-C=O:>2A:>3> (11) 4@>1L, AB>OI0O 2 ?@02>9 G0AB8 ?>A;54=53> @025=AB20, ?> <>4C;N =5 ?@52>AE>48B 548=8FK.  C45< =07K20BL 420 ?@>872>;L=KE M;5<5=B0  EMBED Equation.3  8  EMBED Equation.3  52:;84>20 ?@>AB@0=AB20  EMBED Equation.3  >@B>3>=0;L=K<8, 5A;8  EMBED Equation.3  (2 MB>< A;CG05  EMBED Equation.3 ). !=>20 ?@>2>4O 0=0;>38N A 35><5B@8G5A:8<8 >1J5:B0<8, =07>25< AC<<C  EMBED Equation.3  42CE >@B>3>=0;L=KE M;5<5=B>2  EMBED Equation.3  8  EMBED Equation.3  38?>B5=C7>9 ?@O<>C3>;L=>3> B@5C3>;L=8:0, ?>AB@>5==>3> =0 M;5<5=B0E  EMBED Equation.3  8  EMBED Equation.3 . > 2AO:>< 52:;84>2>< ?@>AB@0=AB25 A?@0254;820 B5>@5<0 8D03>@0: :204@0B 38?>B5=C7K @025= AC<<5 :204@0B>2 :0B5B>2.  A0<>< 45;5, ?>A:>;L:C  EMBED Equation.3  8  EMBED Equation.3  >@B>3>=0;L=K, 0, A;54>20B5;L=>,  EMBED Equation.3 , B> 2 A8;C 0:A8>< 8 >?@545;5=8O =>@<K  EMBED Equation.3  0=55 1K;> 22545=> ?>=OB85 1078A0  EMBED Equation.3 -<5@=>3> 25:B>@=>3> ?@>AB@0=AB20. 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