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EMBED Equation.3 , (3.4) 45 - ?@>38= ?>:@8BBO, @>7@0E>20=89 V7 C@0EC20==O< 2?;82C ?>?040==O >?>@ ?@>38=><V@0 2 7>=C G0HV ?@>38=C;  - ?@>38= ?>:@8BBO ?V4 ?5@H>N >?>@>N ?@>38=><V@0;  - ?@>38= ?>:@8BBO ?V4 4@C3>N >?>@>N ?@>38=><V@0; V0  ?>:07=8: V=48:0B>@0, :>;8 02B><>1V;L 7=0E>48BLAO =04 28<V@N20=>N B>G:>N; V( - ?>:07=8: V=48:0B>@0, :>;8 02B><>1V;L 7(WE02 =0 2V440;L 1,5 < 2V4 28<V@N20=>W B>G:8 (2V4AB0=L 2V4 28<V@N20=>3> AB5@6=O 4> ?5@H>W >?>@8); V5 - ?>:07=8: V=48:0B>@0, :>;8 02B><>1V;L ?@>WE02 I5 1 < (2V4AB0=L <V6 >?>@0<8 ?@>38=><V@0); V  ?>:07=8: V=48:0B>@0, :>;8 02B><>1V;L 7=0E>48BLAO =0 2V4AB0=V =5 <5=H5 =V6 5-6 < 2V4 28<V@N20=>W B>G:8. ?8A ?@8;04C: 206V;L=89 ?@>38=><V@ -& (@8A.3.1). 06V;L=89 ?@>38=><V@ -& O2;OT A>1>N A:;04>289 (42>E?;5G>289) 206V;L (?5@54=T ?;5G5 V 704=T ?;5G5), O:89 2V;L=> >15@B0TBLAO =02:>;> >?>@=8E 328=BV2. 0 ?5@54=L><C ?;5GV 2065;O 2AB0=>2;5=89 28<V@N20;L=89 AB5@65=L, 0 704=T ?;5G5 70:V=GCTBLAO 703;CH:>N B0 3>@87>=B0;L=>N ?;>I04:>N (?(OB0) 4;O AB5@6=O V=48:0B>@0 G0A>2>3> B8?C. 8A. 3.2. !E5<0 206V;L=>3> ?@>38=><V@0 -&: 0  284 71>:C; 1  284 725@EC. 1  703;CH:0 704=L>3> ?;5G0 2065;O; 2  ABV9:0 4;O V=48:0B>@0; 3  V=48:0B>@ G0A>2>3> B8?C; 4  CB@8<C20G V=48:0B>@0; 5  >?>@=0 @0<0; 6  704=T ?;5G5 2065;O; 7  ?V49><=V 328=B8; 8  <CDB0; 9  >?>@=V 328=BV; 10  ABO6=89 1>;B; 11  ?5@54=T ?;5G5 2065;O; 12  28<V@N20;L=89 AB5@65=L; 13  328=B-CB@8<C20G; 14  ?V4?(OB=8:; 15  704=T :>;5A> 02B><>1V;O; 16  7=V<0NG0 >?>@0 V43>B>2:0 V ?@>2545==O ;01>@0B>@=>W @>1>B8 82G8B8 V=AB@C:FVN B0 >7=09><8B8AO 7 ?@>38=><V@>< -&. #AB0=>28B8 20=B06 =0 <VAFV 28<V@C ?@>38=C. 8<V@N20==O ?@>38=C ?@>2>48B8 =5 @0=VH5, =V6 G5@57 3-5 E2. ?VA;O 2AB0=>2;5==O 20=B06C. =OB8 ?>:070==O 70 V=48:0B>@>< V0 ?VA;O B>3>, O: ?>:07=8:8 =5 1C4CBL <V=OBLAO ?@>BO3>< 10 A 1V;LH5, =V6 =0 0,01 <<, V 70?8A0B8 4> 6C@=0;C 28<V@N20=L (4>40B>: !3). @81@0B8 20=B06 =0 2V440;L, =5 <5=H5 =V6 4-5 <. >G5:0B8AL, 4>:8 ?>:070==O 70 V=48:0B>@>< V1 ?VA;O 7=OBBO 20=B06C 7 B>G:8 28<V@C =5 1C45 7<V=N20B8AO ?@>BO3>< 10 A 1V;LH5, =V6 =0 0,01 <<, V 70?8A0B8 9>3> 2 6C@=0; 28<V@V2. 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"0:8<8 <VAFO<8 <>6CBL 1CB8: ?>G0B>: V :V=5FL 4>@>38, =091V;LH 25;8:V =0A5;5=V ?C=:B8, <VAFO 2V4?>G8=:C, ?@8<8:0==O 4>@V3 B0 ?5@5E@5I5==O 7 4>@>30<8, :0B53>@VO O:8E =5 =86G0 2V4 :0B53>@VW 4>@>38, O:0 >1AB56CTBLAO. 0;56=> 2V4 V=B5=A82=>ABV @CEC >1;V: 254CBL 157?5@5@2=> ?@O<8< ?V4@0EC=:>< ?> 16-20 3>48= C?@>4>26 1-2 4>18 2 >48= V7 4=V2 C A5@548=V B86=O (2V2B>@>:, A5@540 01> G5B25@) C 4@C3><C G8 B@5BL><C B86=V <VAOFO.  ?@>F5AV @>1VB ?@89<0NBL 4> C2038 <0@:C V 20=B06>?V49><=VABL 107>2>W <0H8=8. V4@0EC=>: V=B5=A82=>ABV 28:>=CTBLAO 70 G0A>< 4>18 2 :0@BV (4>40B>: 7). O4>:  07>< 4>72>;OT ?>1C4C20B8 3@0DV: 7<V=8 V=B5=A82=>ABV @CEC 2?@>4>26 4>18 V 2AB0=>28B8 ?5@V>48 =091V;LH>W 7020=B065=>ABV 4>@>38. !B>2?5FL  N> T >A=>2=8< 4;O 287=0G5==O D0:B8G=>W V ?@82545=>W 4> ;53:>2>3> 02B><>1V;O V=B5=A82=>ABV @CEC, 0 B0:>6 4> @>7@0EC=:C ?@82545=>3> =020=B065==O =0 02B><>1V;L=C 4>@>3C. 1;V: B0 0=0;V7 40=8E ?@> V=B5=A82=VABL @CEC ?@>2>48BLAO 4;O 287=0G5==O ?5@A?5:B82=>W V=B5=A82=>ABV @CEC =0 7040=89 @V:. !B@>:8 @>7@0EC=:>2>W ?5@A?5:B828 ?@89<0NBL B0:V: - ?@8 @>7@>1FV 70E>4V2 I>4> >@30=V70FVW @CEC  5 @>:V2; - ?@8 ?@>5:BC20==V 4>@>6=VE >4O3V2 70;56=> 2V4 B8?C V AB@>:C A;C618  5 01> 10 @>:V2; - ?@8 ?@>5:BC20==V 5;5<5=BV2 ?;0=C B@0A8, ?>74>26=L>3> V ?>?5@5G=>3> ?@>DV;V2 4>@V3 7 C@0EC20==O< WW @>728B:C -- 25 @>:V2. @8 :>@>B:>AB@>:>28E ?@>3=>70E (5-10 @>:V2) 4;O @>7@0EC=:C ?5@A?5:B82=>W V=B5=A82=>ABV @CEC :>@8ABCNBLAO @V2=O==O< A:;04=8E 2V4A>B:V2:  EMBED Equation.3 , (7.1) 45 Nt  ?5@A?5:B82=0 V=B5=A82=VABL @CEC, 02B/4>1C; N0 - D0:B8G=0 V=B5=A82=VABL @CEC (AB>2?5FL  N> , 6C@=0;C 4> ;01>@0B>@=>W @>1>B8 ! 7, 482. 4>40B>: 7), 02B/4>1C; n - :V;L:VABL @>:V2 4> AB@>:C ?5@A?5:B828; @ - ?@89=OB89 B5<? ?@8@>ABC V=B5=A82=>ABV @CEC, O:89 287=0G0TBLAO 70 40=8<8 =02G0;L=8E ?C=:BV2 70 >AB0==V 10-15 @>:V2. 5;8G8=0 n V @ ?> 20@V0=B0E ?@89<0NBLAO 73V4=> 7 B01;8F5N 7.1. "01;8FO 7.1. 5@54>AB0==O AB0==O F8D@0 H8D@C&8D@0 H8D@C 01234567890, 3, 6, 95 0,056 0,067 0,078 0,089 0,0910 0,105 0,116 0,127 0,138 0,141, 4, 79 0,1510 0,165 0,176 0,057 0,068 0,079 0,0810 0,095 0,106 0,112, 5, 87 0,128 0,139 0,1410 0,155 0,166 0,177 0,058 0,069 0,0710 0,08@8<VB:0.  G8A5;L=8:C 7=0G5==O n, C 7=0<5==8:C - @. >7@0EC=>: ?@82545=>W V=B5=A82=>ABV @CEC V =020=B065==O 28:>=CT<> 70 D>@<C;0<8:  EMBED Equation.3  (7.2)  EMBED Equation.3  (7.3) 45 N;53 - V=B5=A82=VABL @CEC, ?@82545=0 4> ;53:>2>3> 02B><>1V;O, 02B>/4>1C; N=02 - ?@82545=5 =020=B065==O =0 >4=C A<C3C @CEC; K;.V - :>5DVFVT=B ?@82545==O V=B5=A82=VABL @CEC 4> ;53:>2>3> 02B><>1V;O; K=.V - :>5DVFVT=B ?@82545==O =020=B065==O; m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