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">645AB25==K5 ?@5>1@07>20=8O '8A;>2K5 8 1C:25==K5 2K@065=8O K@065=85 A ?5@5<5==>9. =0G5=85 2K@065=8O. >4AB0=>2:0 2K@065=89 2<5AB> ?5@5<5==KE. &5;K5 2K@065=8O !B5?5=L A =0BC@0;L=K< ?>:070B5;5< 8 55 A2>9AB20. @5>1@07>20=8O 2K@065=89, A>45@60I8E AB5?5=8 A =0BC@0;L=K< ?>:070B5;5<. 4=>G;5=, <=>3>G;5=. 59AB28O A >4=>G;5=0<8 8 <=>3>G;5=0<8 (A;>65=85, 2KG8B0=85, C<=>65=85). $>@<C;K A>:@0I5==>3> C<=>65=8O: @07=>ABL :204@0B>2, :204@0B AC<<K 8 @07=>AB8. 07;>65=85 <=>3>G;5=0 =0 <=>68B5;8: 2K=5A5=85 >1I53> <=>68B5;O 70 A:>1:8, 3@C??8@>2:0, ?@8<5=5=85 D>@<C; A>:@0I5==>3> C<=>65=8O. 204@0B=K9 B@5EG;5=, @07;>65=85 :204@0B=>3> B@5EG;5=0 =0 <=>68B5;8. @>1=>-@0F8>=0;L=K5 2K@065=8O !B5?5=L A F5;K< ?>:070B5;5<. @5>1@07>20=85 4@>1=>-;8=59=KE 2K@065=89: A;>65=85, C<=>65=85, 45;5=85. ;351@08G5A:0O 4@>1L. >?CAB8<K5 7=0G5=8O ?5@5<5==KE 2 4@>1=>-@0F8>=0;L=KE 2K@065=8OE. !>:@0I5=85 0;351@08G5A:8E 4@>159. @82545=85 0;351@08G5A:8E 4@>159 : >1I5<C 7=0<5=0B5;N. 59AB28O A 0;351@08G5A:8<8 4@>1O<8: A;>65=85, 2KG8B0=85, C<=>65=85, 45;5=85, 2>72545=85 2 AB5?5=L. @5>1@07>20=85 2K@065=89, A>45@60I8E 7=0: <>4C;O. 204@0B=K5 :>@=8 @8D<5B8G5A:89 :204@0B=K9 :>@5=L. @5>1@07>20=85 2K@065=89, A>45@60I8E :204@0B=K5 :>@=8: C<=>65=85, 45;5=85, 2K=5A5=85 <=>68B5;O 87-?>4 7=0:0 :>@=O, 2=5A5=85 <=>68B5;O ?>4 7=0: :>@=O. #@02=5=8O 8 =5@025=AB20 025=AB20 '8A;>2>5 @025=AB2>. !2>9AB20 G8A;>2KE @025=AB2. 025=AB2> A ?5@5<5==>9. #@02=5=8O >=OB85 C@02=5=8O 8 :>@=O C@02=5=8O. @54AB02;5=85 > @02=>A8;L=>AB8 C@02=5=89. 1;0ABL >?@545;5=8O C@02=5=8O (>1;0ABL 4>?CAB8<KE 7=0G5=89 ?5@5<5==>9). 8=59=>5 C@02=5=85 8 53> :>@=8 5H5=85 ;8=59=KE C@02=5=89. 8=59=>5 C@02=5=85 A ?0@0<5B@><. >;8G5AB2> :>@=59 ;8=59=>3> C@02=5=8O. 5H5=85 ;8=59=KE C@02=5=89 A ?0@0<5B@><. 204@0B=>5 C@02=5=85 8 53> :>@=8 204@0B=K5 C@02=5=8O. 5?>;=K5 :204@0B=K5 C@02=5=8O. 8A:@8<8=0=B :204@0B=>3> C@02=5=8O. $>@<C;0 :>@=59 :204@0B=>3> C@02=5=8O. "5>@5<0 85B0. "5>@5<0, >1@0B=0O B5>@5<5 85B0. 5H5=85 :204@0B=KE C@02=5=89:8A?>;L7>20=85 D>@<C;K 4;O =0E>645=8O :>@=59, 3@0D8G5A:89 <5B>4 @5H5=8O, @07;>65=85 =0 <=>68B5;8, ?>41>@ :>@=59 A 8A?>;L7>20=85< B5>@5<K 85B0. >;8G5AB2> :>@=59 :204@0B=>3> C@02=5=8O 2 7028A8<>AB8 >B 53> 48A:@8<8=0=B0. 8:204@0B=K5 C@02=5=8O. #@02=5=8O, A2>48<K5 : ;8=59=K< 8 :204@0B=K<. 204@0B=K5 C@02=5=8O A ?0@0<5B@><. @>1=>-@0F8>=0;L=K5 C@02=5=8O 5H5=85 ?@>AB59H8E 4@>1=>-;8=59=KE C@02=5=89. 5H5=85 4@>1=>-@0F8>=0;L=KE C@02=5=89. 5B>4K @5H5=8O C@02=5=89: <5B>4K @02=>A8;L=KE ?@5>1@07>20=89, <5B>4 70<5=K ?5@5<5==>9, 3@0D8G5A:89 <5B>4. A?>;L7>20=85 A2>9AB2 DC=:F89 ?@8 @5H5=88 C@02=5=89. @>AB59H85 8@@0F8>=0;L=K5 C@02=5=8O 2840  EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4 . #@02=5=8O 2840  EMBED Equation.DSMT4 .#@02=5=8O 2 F5;KE G8A;0E. !8AB5<K C@02=5=89 #@02=5=85 A 42C<O ?5@5<5==K<8. 8=59=>5 C@02=5=85 A 42C<O ?5@5<5==K<8. @O<0O :0: 3@0D8G5A:0O 8=B5@?@5B0F8O ;8=59=>3> C@02=5=8O A 42C<O ?5@5<5==K<8. >=OB85 A8AB5<K C@02=5=89. 5H5=85 A8AB5<K C@02=5=89. 5B>4K @5H5=8O A8AB5< ;8=59=KE C@02=5=89 A 42C<O ?5@5<5==K<8: 3@0D8G5A:89 <5B>4, <5B>4 A;>65=8O, <5B>4 ?>4AB0=>2:8. !8AB5<K ;8=59=KE C@02=5=89 A ?0@0<5B@><. 5@025=AB20 '8A;>2K5 =5@025=AB20. !2>9AB20 G8A;>2KE =5@025=AB2. @>25@:0 A?@0254;82>AB8 =5@025=AB2 ?@8 7040==KE 7=0G5=8OE ?5@5<5==KE. 5@025=AB2> A ?5@5<5==>9. !B@>385 8 =5AB@>385 =5@025=AB20. 1;0ABL >?@545;5=8O =5@025=AB20 (>1;0ABL 4>?CAB8<KE 7=0G5=89 ?5@5<5==>9). 5H5=85 ;8=59=KE =5@025=AB2. 204@0B=>5 =5@025=AB2> 8 53> @5H5=8O. 5H5=85 :204@0B=KE =5@025=AB2: 8A?>;L7>20=85 A2>9AB2 8 3@0D8:0 :204@0B8G=>9 DC=:F88, <5B>4 8=B5@20;>2. 0?8AL @5H5=8O :204@0B=>3> =5@025=AB20. 5H5=85 F5;KE 8 4@>1=>-@0F8>=0;L=KE =5@025=AB2 <5B>4>< 8=B5@20;>2. !8AB5<K =5@025=AB2 !8AB5<K =5@025=AB2 A >4=>9 ?5@5<5==>9. 5H5=85 A8AB5< =5@025=AB2 A >4=>9 ?5@5<5==>9: ;8=59=KE, :204@0B=KE. 7>1@065=85 @5H5=8O A8AB5<K =5@025=AB2 =0 G8A;>2>9 ?@O<>9. 0?8AL @5H5=8O A8AB5<K =5@025=AB2. $C=:F88 >=OB85 DC=:F88 5:0@B>2K :>>@48=0BK =0 ?;>A:>AB8. $>@<8@>20=85 ?@54AB02;5=89 > <5B0?@54<5B=>< ?>=OB88 :>>@48=0BK. !?>A>1K 7040=8O DC=:F89: 0=0;8B8G5A:89, 3@0D8G5A:89, B01;8G=K9. @0D8: DC=:F88. @8<5@K DC=:F89, ?>;CG05<KE 2 ?@>F5AA5 8AA;54>20=8O @07;8G=KE @50;L=KE ?@>F5AA>2 8 @5H5=8O 7040G. =0G5=85 DC=:F88 2 B>G:5. !2>9AB20 DC=:F89: >1;0ABL >?@545;5=8O, <=>65AB2> 7=0G5=89, =C;8, ?@><56CB:8 7=0:>?>AB>O=AB20, G5B=>ABL/=5G5B=>ABL, ?@><56CB:8 2>7@0AB0=8O 8 C1K20=8O, =081>;LH55 8 =08<5=LH55 7=0G5=8O. 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