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ISBN 966–364–218–1
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%AH =%=E @DEAE. F$=%=E= # A4$B= «'’#A=%4» %$@A=%@A4 !EA ' !@$D=, $ AF !U ;D += !!+=&4H, 4 @!=*EJAB@ + ' @!F=%;4% @'’#A=%. F D%=A= ! 4$B !@A%$ «4AD%D EA=D»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!@B=K "4EK + @A4 = %=%=$=@ % !E= D4+&4*D +%=A %44$4%: + ;4A +EF%J A 4AD%J @AAD4#J EA=D. !4%44$K A=%# +!4$ !&4 % 4+=K %=K 4$B@A4 + EA=D, 4 + F=E + =K +4!$JJAB@ '%’+=. A %A ++;=A=, L @ @4K !4%44$4% !4+4$ +4 +'A — #==*, =* !E !%’+=* + D4+&4*J 4#K4#J. 4E4@A4 '%’+4% $44*D * !AD !4%44$4% EJAB %$= +; $ HK 4%=4%. , +E, 4%=, D !$4 $44*4 "&4H, !D +$=U=A=@ != =K 4 A=EA= !4%=L %K4* U$ 4%=&A% ;+ %= $44*=K "&4*. 4%=, =* +4*@J# !A4 "&4H, !D +$=U=A=@ != %=4 A4#H F !AH "&4H %!%F A=%$D !4, L EF @$F=A= !UJ !4%=L ! @$F'4. &BE + !=;= AD, L 4%== 44 !%$JAB @A@A4 %=4 !A=K '%’+4%. D=* A=! @AA=, L %4!%4# 4AD%4* @AAD4H EA=D, @A%=AB !&@ !;4 ;@A== !A=K "&4* 4 !%’+=K + =E= !4+4$4% 4U=E !4+4$E E!4H. !=$, !4%44$=, L %=JAB @!&4$4+%4 "&4H, + HK +@AE EFAB %=%=A=@ %=E= 4 %$=A=@ % 4U4 !4+4$= (!4%44$ !$% %=!@ %='4% EF A%=A= @!4$B=* !4+4$ + %='=;-4F=E= @$F'E=, =* 4A=E +$F). B- D4+&4 ("4E, E!4 AL), ';= ;@A=J 4#H ;= '4$BU &4$@!E%=K @=@AE, @E # &4$@!E%J @=@AEJ, ;@A== H — $J= — EJAB %$@4 &4$4. 4$E ;%=, L 4@AB "&4%, "A=%4@AB D4+&4H +$F=AB %4 KA %!$=% H $J* — HH $EA4% 4 @=@AE, ;@A=J =K % #. AF, % !%$44 D4+&4#J EF %=4$=A= %4@ +$F=K 4%4% %4!%4$B@A4 + @D &4$* %H @=@AE= (D4+&4H); &4$* $J*, 4 # $EAE= &4#H @=@AE=, ;$E= D4+&4H; &4$* ED@=@AE=, H %K=AB D4+&4. "A=% !%$4 + %@A4 "$4A4% &4$* 4+D 4% %=ED# ;4AD %$ ! "&4H D4+&4H %4@ @%HK ;@A= 4 @=@AE=, ;@A=J H % #, AF %$@=K &4$*. @D E@=E$BH +DF@A4 4* ;$4% D4+&4H # 'K4J E%J "A=%D !%$4. ==@A%%4 4%=E $ &BD +@'= EFAB U= %4J%A=@ +$F %4 $BA= &4#H D4+&4H % &4$E, AF +E !=*AH %4!%4@A4 + J @A=$J !%$4. 52
$B !%$4 'AJ D4+&4H E# "@%A= @%J %D ABK D$%=K EEAK: !%=$K, %$4 4 &4@AK, L +!4$JAB@. +E + A=E !A4' ++;=A=, L F A D4+&4 =@A#AB@, !%=$, =E =E'B 4@AEAE, HK !#E (4+=E A=K D4+&4K) $ @D DA4* AD, L' !&4%== %=%$= "A=% A 4@ !$4 =K '%’+=. \=* &BE %=! %+#E+%’+ 4$B@A4 D4+&4H + HH $BAJ * =E ;=E %=E4A= * %4!%4 !4%=L=A= "A=%4@AB D4+&4*H $BA=? A %4+ 'K4 ++;=A=, L # EF$=%4@AB "E% HH !E "A=%D 4$. +E + A=E E$B !%$4 4$B4@AJ # +ED 4%=E (EFE) !*A= "A=%=K EA4% +E4.
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3. >A=. !A=;4* 4$B@A4 4H (%==) EF4% 4 !4!=#E&4% +%F= EFAB 'A= @DA4 U%=, !=$, !A;E "4@%E &4 $=U % 'DABK D4+&4K, !+# !A=, 'F EA 4 %4!%44@AB $BA= D4+&4H EFAB 'A= @DA4 + = 4. >A EF= 4 !4!=#E&4, A4 @A$= U$K, %=+;=* «&4$4 — =A4H — !A=», EFAB @AA;E !4@E EDA=@ 'FD +$BAA. +4; 'K4 ++;=A=, L +E4 D$%H EA= @A% @%=L, % E !&4%== +K;AB '=A= A, L !A4' '=A=, $D4; !=+%=AB A=K 4%=K !=&=!4% $ «!%4= %4!%4@A4 $BA=»: 1. $ AD, L' ;$= D4+&4H +KA4$= +E4=A=@, %= !%=4 @E4 %+A= ;@AB %=+;4 +=% E4F 4@J;J * E4;J D4+&4*J $BAJ. 2. h' ;$= D4+&4H @K%$=$= @4J +K4%, @!E%=K @D &4$* D4+&4*H $BA=, %= !%=4 'A= ;@AB %=+;4 4 'D%4 &=K +K4%. 3. @J;4 D!= != !UE !%4E$4 !%=4 !%=A= D$=' $A=% +E4 AD, L !%= 'A= +'$, L' +E4=A= !%4 &4#H D!= %4 4@J;D +!$%D 4%. 4. $ +4!$ !;A%=K +E4 E# 'A= !D$A %@ @=@AE !%$4 4$B4@AJ D4+&4H A=* @!@4', L' % %4'F$ &4@A4, 4 %==JAB ;$4% D4+&4H.
54
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!A'# +'=, !;4, +'4D, ''= 4 %=;4 +;=K '@D4% 4+E4AH + KAE 4"E&4H. E EA=D% 4$B4@AB !A4' +D$A= ;@A= '’#A=% 4@J;D 4 !@A4* "&4J;D 4"E&4*D !&@. "E&4* +'+!; — & !&@ +%$ !A' A=K =@A%;4% % 4"E&4H, L fA#AB@ +@A@%4 @!&4$B=K EA4% 4 +@'4% HH A=E, ''$, !=; 4 %=;4 % +;E $ %==@A %=D$4. !4@AB 4"E&4H, 'K4H $ %= EA=D%=K +K4%, +=%JAB ++%=;* @=@AEJ EA=D%H 4"E&4H (). H "E% 4 "&4% @!=#AB@ @=@AE 4"E&4*D +'+!; EA=D. \ !%=$, +%= %$J;# A4 !4@=@AE=: %A4UBH 4"E&4H, +%4UBH A 4"E&4H EA=D%=K @$4FB. =@AE %A4UBH 4"E&4H E4@A=AB @!4@AB =K, 4 %==JAB !4!=#E@A%4 ("4E4) "E4 'KD$A@BH 4 @AA=@A=;H +%4A@A4, !A=%H * !A;H %='=;H A %-AK4;H 4"E&4H. =@AE +%4UBH 4"E&4H '’## %4E@A4 ! @A +%4UBD @%=L !4!=#E@A%, = A *D 4"@AA=, !%4 !!&4% 4 !@A;$B=4%, 4H A4%, +K= F%D D$J% =%=K EK4+E4% AL. 4 4 +@F4 % !'$4%=K !4=;=K 4 @!&4$B=K %=K, @AA=@A=;=K +'4=K, ’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
P !4=;4@AJ ' @A'4$B4@AJ %== EA=D% 4"E&4J !4+4$JAB !@A4*, +E4 A !4+=;. >@A4* 4"E&4 %4'F# !@A4*4, A'A A=%$=* ;@ +E44 !+== EA=D%D @%=L. PE4 4"E&4 !+# "A=;4 4$B4@4 A 4@4 KA=@A== "&4% '’#A4% EA=D. !4+=; 4"E&4 "E#AB@ % E4 'K4@A4, !=$, $= !A4' A=EA= A%4 4 ! %D A $ &4= EF$=%H +E4= &4= A%, L !#AB@. P !=+;E EA=D% 4"E&4J !4$JAB : %4%, E&4*, EA=%, @=D$B 4 D$JJ;. %4% 4"E&4 E# +*E$J%$B=*, !E4F=* KA, %4'F# !4% @A'4$B4 += '’#A4% EA=D 4 !@A%$#AB@ %=D$4 @=@AE= %4=4% ! "4EK, AK4-@!$A&4*=K KA=@A=K !&4H, &4K, A="K AL. E&4* 4"E&4 "E#AB@ % +$BAA4 @!&4$B=K EA=D%=K @$4FB ' @%4 $4+ =K, L %AB@ % %=K %=K 4 E&4*=K '+K =K. E4@A=AB !D+= !F !&4H, !4=AA= %=' &4$B%=K =4%, DA4%-!@=4%, "4E-!@A;$B=4% @=%== 4 !4'. EA=% 4"E&4 "E#AB@ % @%E %='=;4* @"4 * %$J;# E= 4 EA=%= 4+=K $EA4% %='=&A%, AF EA=%4 +%;4 A=. =D$B 4"E&4 %==# ++%=;* K4 !%= %4K=$B "A=;H !%4= '’#A4% EA=D%D @%=L %4 +!$%H. >4@$ %@A%$ !=;= %4K=$B + EAJ HK @ %F=%JAB@ %4!%44 +K=, A4 %4'FJAB D$JJ;4* 4"E&4H. @AA +; #AB@ $@="4&4H EA=D%H 4"E&4H @A@% ''=. >= &BE EA=D%4 4 !4+4$JAB@ !%=4, %A=4 * !K44. >%=4 4 — & A4$B=- A=E 4"E&4 $ %=4U AH @$4F%H !'$E= ' !=A. A= 4"E&4 E4@A=AB 4, +4'4 4U $ &4$*, %4E4=K %4 !%’+=K + %=4UE @$4F%H !'$E=. >K4 4"E&4 # +$BAAE !%=H, %A=H ' 4UH !K4H 4"E&4H + EAJ "E% 4"E&4H, 4#A%H %=4U !@A%$D +%. EF "E%A=@ %=D$4 $D4;=K %=@%4% 4 E%=%4%. 57
>%D= 4 $4= !%=H A %A=H 4"E&4H !$DJAB @B ;E. >%=4 4 EJAB A4 !=&=!%4 !%D=: HK +'=JAB %4!%4 A;=K &4$* !%D @$4=&BD +%; EA$D4 +'= =K A$J#AB@ * %4E E!4H; j@4 +$BAA= @A!4 $ E!4H, EF +'+!;=A= HKJ "4&4*4@AB $ A4%; E# @!;$=%=K =K 4+ 4+=K F$; 4*4@AB EF 'A= %=+; (+ 'F); L %A= 4"E&4 # %4!%44 %@4 +!=A, A +'= * $4+ !%==K =K —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!EK 4$B@A4 (%='=&A%, !F, D4+&4 EFEA, "4@=, EA=D). =%; A% A # +ED %=%=A= A4$B= *D, $ * @%H @$'4 A @=$B4 @A=. 4 "4E= %==@A%JAB @!F=%&B4 !$4 $ &4J% %$@=K A%4% 4 A%4% A4%, !%AB !=A% =@A='’JA4%, "K4%&4%, !!&4%. «», !=$, !# %='= A4% 4 +'=# HK (!=*E @AJ% %!=). 4E, L 'DA "4E @%HK =+*@B=K +'K K%JAB A%= A4%. A@!EF4@AB "4E= ' A% — !AA %4@, @'$=% % =E4&4. +$F=AB %4 A=K E%, L @$JAB@ AE ' 4UE = (@A =, *D @A!4@AB, %= A%, E%= !F 4 !$AF). +E + A=E, A@!EF4@AB — !AA E!$@, L !';# 4$B 4%4% AH !%D=. h' +'+!;=A= D4 ($4=J;) @A%=L "4E= =, %F$=%=E @AAD4;=E +%E @A# %=!F A4% +'$4 A @%#4 %=K A%4%, %H AK$D4H, %D =+*, %D 4% %=AA %='=&A%, %=K &4, %%%B @=@AE4 +!4$ 4 +'A. =E @E=E @D#AB@ %4+ 4$B !EA4% AH !%D=. !=$: % H4 = AA %@A!# % % "+ +%=A * !A%J#AB@ %F$=% F$ 4$%H, !4+%$BH A +%F$BH 4"E&4H. W=@$B4@AB =@A%;4% AA, L !@A4* +@A#, %=$=# EU U%= +@A 4 +%=A A=K @DEA4% = 4"E&4*=K AK$D4*, 4 !E ' !'4; + =E !%’+4.
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A *. >E@A*A EF$=%@A4 "4E= + '@$D%% !!%D A% !4@$ !='. E#AB@ !4J%A= !!4 AD%$B4 !!+=&4H. 'K4 !4@$=A= A4 %== @%4@, L @A@JAB@ &BD +E%=. @ . * +4$ AD%$BH !!+=&4H EF E4@A=A= !='$=+=* A@A AA ! !4%$J A%. !EF @!AE !$%4 !$BU=K 4*. ! . =@ %==@AA= @A4* +4$ !!+=&4H $ AK4;H EA&4H, A !4A=E# %4 %=L DEA= ! @AH@A% A%. A AF %=@A= % &* +4$ @4 @$4 $ ;=A ;@A== AD%$BH !!+=&4H. >4DA%%U= @!4U AD%$B !!+=&4J, EF @!$%A= HH !+A&4J !A&4*=E !!&E. >$% 'B-H !+A&4H E# +!;=A=@ + $4+ %K *%F$=%4U=K @$%=K: EA= !+A&4H * !';%H =A4H @$K;4%. !=$, &4$E= !+A&4H EFAB 'A=: @A% 4A@ !A 4* @A4H; +%$ !=AB D!= "K4%&4%; +%U !&@ !F. P$F %4 EA= !+A&4H !A4' @!$%A= 4+4 @&4H. $D4; !';% =A4 @$K;4% AF %!$=%# !$ !% !+A&4H. \ *A=!%4U=* %=! +D$E !+A&4J AD%$BH !!+=&4H, L +%U# !&@ !F A%.
@!4U !+A&4 AD%$BH !!+=&4H E# %$J;A= A4 A!=: 1. 7 . 2. 7 F. 3. J > F. 4. 7 > -. 5. H . % (. 'K4 !@A%=A= @' * $D; !%A= + =* ;@ 4 !4A=E !4 ;@ !4DA%= !+A&4H; ;4A %=+;=A= EA !+A&4H; +!@=A= @A%=A= +!=A * 'A= A=% ;@AB % 'D%4 !'$E=; +*E=A= @$K;4% 4+ !$E !+A&4H A A=E;@%=E +!E. % * %. F &!A$B, % A$K, !@A%=A= !A; @=A&4J @!F=%; @A@% A%. 'K4 !E@A%A= +E4 !A' $4#A. 318
B * %. &4* ;@A=4 !+A&4H 'K4 !+A=, L !%&%4 @A$= ++E4$4 %=ED= * &4$4 @!F=%; % +$BAA4 @!4$BH 'A=. >4@$4AB $J;%4 $EA= =A4H% K%$ 4U ! !4%$J. 4+;A !4A=E * +D + &=E= =A4E= 4U ! !4%$J. " ! - . &BE A!4 'K4 !4@$=A= @AH@A% A%, 4 EFAB @$F=A= !=;=J *D !4%$4. ' 'A= DA%=E %4!%4@A= !=A L AK4;=K KA=@A= A%, $ *A= A$BD *D !=@, AE L %=L 4%=&A% "4E !4 ;@ !4%$4 '4$BU &4%=AB@ !=AE «;E?», !=AE «?» = . &4* ;@A=4 !+A&4H 'F 'D%=A= EF$=% "4@% @KE +4*@ !4%$4 A%. \4 EF$=%4 4%@A=&4H, ;= EF$=%4 %DAE4%4 =A= ' $4+=D '$? >4 ;@ 'D% "4@%=K !=AB '%’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
+D$E EF$=%4 !=*E= !% @!4UH !+A&4H AD%$BH !!+=&4H. K4 @!4UH !+A&4H %$J;# A4 $EA=: %4&4 4*, ++; K !+A&4H, +E4@A !%4E$B, AK4 E%=, %=$J; %4%$4B, A+= %=@A!, 4$J@AA=%4 EA4$=, !4DA% * !% !+A&4H. +D$E &4 $EA= $4U. / . =* !=*E, %4&4 4*, !EF %A=EA= * !4@=$=A= %D =A4H !%44. 4&4 4* EF 'A= @DA + K +E4= D$@ (+E4= D;@A4, !%A= +%; * %=@A= A) ' !+=&4H (+'4DJ;= !=4@AB !%F, =@ KA=@ %+%F «@&=»), AF + K A%=K !%4;4%, +@A@% 4$J@AA=%=K EA4$4% 4 +!=AB =A4H. " (. $ 'DABK @$K;4% @E K4 !+A&4H # «!H+J % %4E4@AB»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
U=, 4* EF !=@A= *J ;= "$E@AE, $ !@ EA4$ ' $ %4+$4+&4H %4!%4* !=A. (. >4 ;@ !4DA%= !+A&4H 'F %+A= ;@AB %='4 !=E4L (=A4H: +E4, @%4A$4@AB, AE@", "E$, +K= A 4.). P; @!$%A= +AU% ;@=4% !+A&4H %+%F U!4'D @A$. 'K4 !4DA%A= %4!%4 '$ (!A, U) 4 !=@BE%4 !=$, AF !!A=%A= !% !+A&4H. >4 ;@ !% !+A&4H 'K4 +!$%A= !%= $ %4!;= @$K;4% 4 «$D» 'D% !=AB. *%F$=%4UJ @$%J @!4UH !+A&4H AD%$BH !!+=&4H # A !%$4 +!;E=. P!; ;@=4% !+A&4H 4 @!A= !%44 # &4$E E$B=E !&@E, L @%4;=AB, @E!, ! +&4%$4@AB @$K;4% % A=E4 %H $ =K 4"E&4H. E !A4' 'A=@ +!;B, %!=, %==@AA= $ '4$BU @!4UH !+A&4H !!%D !A. K4 !%$4 +!;E= %$J;# ;A== A!=: 1) %F @$K; 2) A; +!;B; 3) 4A="4&4J +!;B 4 %4!%4 &4J; 4) AK4 +=AA !+A&4H. # !';# %4!%4B +!=A: ;= %@ !;%, L '$ @+? >= AE !4K4 EF %4A=@ ! +&4%$4@AB @!4%+E%= AH !'$E=. # @A!=E A!E !&@ !%$4 '@A%=E=. $ &BD EF %==@AA= A;JJ;4 !=A, @F4E, «;= !%=$B %@ ++E4%?» F$=%, %A !!@=A= @!4%+E%= +E4=A= +%F $ !%D +E4 %@4E @AE=. >A4E %A !!@=A= ;@, '= 'E4%A= & +!;. C$ 'K4 $ %=DUH &4H A +%F. >= !%=$BE +%F4 %A !D=A=@, %=%=A= *D @AH@A%, !=*A= HK !@!A=% * E!@%A= A +%F EF$=%=E= $BAA=%E=. ++E4$ +!; EF !!@=A= !@=A= $4U. \L F +!; !=A% 'FE +%$B=A= %$@ «D» @$K;, A L +%A=@ + !4A=EJ % +’@4 ++E4$D +%F =A4H. \L !$# +!;-+%D, A %A !D=A=@ + *D EF$=%4@AJ * @!'%A= !==+=A= *D 4E%44@AB. >= E&4*E +!321
;4 + !EDJ +!=AB EF @!'%A= !4A= *D @E4% @ @$K;4%. 4+;=E, L %@A%$4 * ++E4$4 +!; + AD%$BJ !!+=&4#J EFAB 'A= @%J $ +=AA !+A&4H. %$J;#: 1) $BAA=%=* %='4 — «;= K;A %= %4%4A= U !4!=#E@A% @A!D E4@&?»; 2) !=!L — «$= %= A=E#A &* @$=* A%»; 3) A'$=&J '$@4% — +E +4 @$K;E= 'K4 @$@A= !$4, 'AB %4 !=;== !4%$4 A% * !=;== %4E%= %4 !!= $ !4%; 4) !+=A=%4 "&4H — 'K4 +!%4@A= ! !!&4%, 4 !='$= A% (&4 !@=$ EJAB 'A= !%44); 5) +JE% — 'K4 !%A=A= %=D= %4 !=' A% * E%=A=@ ! @A! EF$=% +@A4; 4+ +E%=E. =E ;=E, @$4E @!4UH !+A&4H AD%$BH !!+=&4H EFAB 'A= !$BU4 !D%= $ 'D% * !4!=@ AA ! !4%$J A%. — & !&@, E F @A ED#AB@ @DA= E@=E$BH %$@H %=D= U$KE %+#E=K !@A! 4 % +$BAA4 %+#EH E%$@A4. @!4U4 !D%= —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4) $4+ %@A4 'K4H 4"@AA= !@= (@$=, A@!A, !@$, @%4@4 @$F'=); 5) $4+ %@A4 +%$D !!=A; 6) $4+ +'+!;@A4 @=%=J * EA4$E= %='=;=K !AF@A*; 7) $4+ '@D4% !F A%4%; 8) $4+ K!$ = !@=E; 9) $4+ @!F=%;=K !%D; 10) $4+ !A'= % !&4H; 11) $4+ !!+=&4* !@A;$B=4% + %=EDE= !4!=#E@A%; 12) $4+ !!+=&4H (!A;=* @A 4 !D+); 13) $4+ %='=&A%; 14) $4+ @A * =E4= @!F=%;D !!=A; 15) $4+ 4@J;=K &4; 16) "A4% "E% =%H ’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
38) @$4F = $ %=%$ !@!A=%=K =%=K 4U; 39) @$4F * $4+ D4+&4*H @AA= A %A4UBD "4E%D EFEA; 40) @$4F $4% +!4$; 41) @$4F EA=%&4H !%F @!F=%;4%; 42) @$4F EA=%-!%%=K EA4%; 43) @$4F +!4$ A +'A !&4H; 44) @$4F 4@J;H E&4*H !A==; 45) @$4F "4@%=K EF$=%@A* A4%; 46) @$4F $@A=;@A4 !!=A + &4E= * !='AE=; 47) +D$B +'=, ''$ * $4+ 4"E&4H % E4;4* @"4; 48) !4%$B=* $4+ 4*@A4 !@A;$B=4%; 49) !4%$B=* $4+ E% @!4%'4A=&A% + !@A;$B=E= 4 A. !. $4+&4*-4@AEA$B=K !=AB $FAB !=A, L %4'FJAB $4+&4J EA=D%D !4K "&4%4 @'’#A D@!J%: 1. !%F A%4% = 4 @A% = $ %=K A%4%; 2. ='4 @4H% $E=; 3. ='4 !A=E$B=K EA4% &4A%; 4. ='4 4% &4 %=K;= + A=K E%; 5. ="&4&4 &4; 6. ==@A !@A=FH $E=; 7. =A% * $4+=D; 8. $J% A%=K @A=EA4%; 9. =+; 'JFA $EH E!4H; 10. =+; %$=;== !!=A * !!+=&4H; 11. =+; EA4% %!$=% &4$B% =A4J; 12. =+; @!@'4% 4"E&4*D +%’+; 13. =+; &4$B%H =A4H; 14. =+; &4$* 4 +%B &4A%; 15. =+; &4$* $E=; 16. P4*@ D%4=K %4@=; 17. >$% K A%4%; 18. >U 4 %==@A %=K $4% +!4$; 19. 4@=K A@!A-@!=A@B=K !@$D; 20. +=F; 21. P$; A%=K @!F=%;4% + !EDJ @%#;@D +=F &4; 346
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8) =&4 4$B@A4 @$F' !4!=#E@A%; 9) =&4 '4A @!4%'4A=4%; 10) =D% &4$* + +$BAAE= %=H 'A=; 11) EA=%% %=%&4%; 12) %=+; E*'ABD @A !4!=#E@A%; 13) %=+; A$B=K !+=4% A '’#A4% A$J; 14) %=+; EA== A$J; 15) %=+; @!@'4% @D &4$*; 16) %=+; "&4$B=K '%’+4% %=%&4%; 17) D4+&4 EA4% !'D EA=D; 18) D4+&4 E&4*H $4+&4H !&4H; 19) D4+&4 %='=&A% %=K A%4% 4 %=K AK$D4*; 20) D4+&4 @A=E$J% !F; 21) &4 %=H 'A=; 22) !4#A&4 "&4* !%$4 EA=D; 23) !@A% +%B A=E %=%&E; 24) !=% @AA= !%$4 %4!%44@AB 4+ %=EDE= EA=D; 25) +EF% D4$B=K '$@A* %4!%4 'H @AA= D4+&4H EA=D; 26) F=% @AAD4;=K +%B; 27) !4% @DA=K +$BAA4% + !@A%$=E= &4$E=; 28) @AAD4;=* A !A=%=* EA=D%=* A$B; 29) @A%$ &4$* 4 +%B !%D A$J; 30) "A=% D4+&4 EA=D%=K !$4A= 4 A. !. K$D4;4 !=A @A@JAB@ !A=;D +@A@% @;@=K !4K4% %4 @=@AEJ EA=D !4!=#E@A% A D4+&4*: 1. +!4$ !%$4@BD !&@ E4 4H, !&=, !&4H; 2. =$J; + !%$4@BD !&@ D=K !&4* 4 !&; 3. ==@A @AA=K !%$4@B=K AK$D4*; 4. 4&% 4#A&4 @D 4@D +$BAA !%$4; 5. P'+!; =&4H * @=K4+&4H E=K A!4%, @A4*, !& !%$4; 6. +;4@AB %= !& A !&4*; 7. =+; ;4A=K =A4H% &4= @A4 !%$4; 8. P@A@% %=@A=;=K EA4% %4; 9. >% !A=E4+&4*=K !&4* 4 !& %4; 348
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
@4 !=A &=K '$4% !EA-+;#%H $@="4&4H EF !4$=A= 4$B +;#%=K D!, F + =K E# @%J 4=%4$B &4$B% @!E%4@AB, L ; %4'F % A'$. 7.2. , % 4"E&4*-$4A=;E '$&4 EF %=4$=A= %4@4E D! !%$4@B=K !=AB, 4 EJAB +D$B-$4A=;, @AA-A, @AA-+'+!;%$B, @AA-!@=&B, ’JA-A%JJ;, ’JA-@$4=&B, %A4UJ "4E% A @!F=%; @!E%4@AB. PD$B-$4A=;4 !=A !%$4 EA=DE @A%$AB !=A, 4 %4'FJAB *'4$BU +D$B4 @!A= @$4F $EA4% EA=D%H 4$B@A4 !4!=#E@A% A D4+&4*. @AAH D!= !EA-+;#%H $@="4&4H (@AA-A4, @AA-+'+!;%$B4, @AA-!@=&B4 !=A) %KAB !=A, A4 A4#J ;= 4UJ E4J +;4!JAB @$4F * $4+ "4E%H @AA= = (A=, !@A;$B==, !@==). 349
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1, 5, 10, 16, 23, 24, 25, 34, 35, 38, 42, 44, 47
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3, 6, 7, 20, 21
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12, 15, 46
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9, 14, 32, 33, 41
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1, 8, 22, 27, 30, 33, 34, 40, 43
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16, 17, 18, 19, 23, 26, 42, 44, 45
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3, 4, 5, 7, 10, 14, 20, 21, 24, 28, 32, 49
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2, 6, 9, 11, 12, 13, 15, 25, 29, 31, 35, 36, 37, 38, 39, 41, 46, 47, 48
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1, 8, 9, 10, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 30
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2, 3, 4, 5, 6, 7, 13, 14, 27, 28, 29
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1, 3, 4, 5, 6, 12
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2, 7, 8, 9, 10, 11, 13
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3, 4, 7, 10, 14
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1, 2, 5, 6, 8, 9, 11, 12, 13, 15, 16
350
’JA @!E%4@AB KA=+#, + D ', %=%; "A4% "E% =%H ’JA= (’JA-A%JJ; D!), + 4UD — !=A HH @$4F (’JA-@$4=&B D!). A4U4 "4E%4 !=A @A@JAB@, @E!, @$4F %A4UBD !A&4$ !4!=#E@A%, J;= +ED % +$BAA4 $4+&4H %=+;=A= $B4 * !@!A=%4 *D EF$=%@A4. @ABH D!= !=AB 4"E&4*-$4A=;D '$ %KAB A4 + =K, 4 !=@JAB 4+4 @!A= @$4F @!F=%;4% A HK4 !%D=. $4+&4*-4@AEA$B=* '$ @$#AB@ 4+ ;A=BK D! !=AB, 4 +%’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«>$ "A=%D !%$4». 2. PKF A$=K !$L 'DAA=4% «>$ "A=%D !%$4». 351
3. =K% +D$BJJ;=K "4&4#A4% "A=%@A4 !%$4 + '$E= !=AB !EA-+;#%H $@="4&4H. 4. +K !!%;=K "4&4#A4%. 5. +K "A=%@A4 !%$4 + FD '$ +D$A=K !=AB. 6. &4 "A=%@A4 !%$4 + '$E= !EA+;#%H $@="4&4H. 7. +K "A=%@A4 !%$4 % &4$E. 8. +$BAJ; &4 "A=%@A4 EA=D%D !%$4. 9. &4 +%4% @$J% !%$4@BD !&@. +D$E A$B4U $4+&4J FD A! 4E4A&4*H E$4. 1. % O «7 ». )1 10 8
)N
)2
6 4 2
)8
)3
0
)7
)4
)6
)5
=@. 7.4. DAA= «>$ "A=%D !%$4»
$ +KF !$L 'DAA=4%, 4 @A%$AB +$BAA +D$B @$4F%=K !=AB EFK FD r-D '$ !EA-+;#%H $@="4&4H, %==@A#E EA «!%A=», $ ;D !%E + D4!AA=;D &A =352
A n- 4$B4@AB @*, F + =K %4'F# !% !=A + AD '$ (=@. 7.4).
@4 +AU#E !4 %=E= AE= ! %4UJ = D. F %4@B E# !% '$B D&4J ($ +;@A4 +K4% E#AB@ =@A%A=@ @A='$BJ &4J U$J), F '$ @A%=AB @'J =*@B &4=* =A4*, =* '=JAB %4$B +$F %4 !@A%$=K &4$* != $4+&4H &4#H 4E4A&4*H E$4. =E =A4#E EF 'A=: ;@AA %=4U !%=K !%$4@B=K !=AB; @A!4B HKBH !A=;H 'K4@A4; ;@%4 AE4= $4+&4H; E!$@4@AB 4 @=@AE4@AB HK %=4U AL. F4* @4 %4$#E '$B +;, A !@A%$#AB@ 4E4AAE= $ FD !=A, %$J;D % @$4F. >A4E +’##E A=E4 A;= !E=E= $44E= * A=E#E !$@=* 'DAA=, =* # $DE D"4 % !$4* @=@AE4 =A, L %4'F# +!4$ %$=;= %4@ !;A =A. >$L A=ED 'DAA= @$#AB@ 4+ !$L A=A=4%, A%=K D&4*=E= U$E=, * +K%#AB@ + AJ "E$J: S
0,5 @1 @2 sin D 0,5 @2 @3 sin D " 0,5 @n @1 sin D ,
(7.1)
S — !$L 'DAA= % !%$4@B=K ==&K (!. .) @1,…, @n — +; =A=K @*; n — 4$B4@AB =A=K @*; D — A E4F @E4F=E= @E=. >A%=%U= * !AJ;= &* %=+, A=E#E @AA; "E$ +K !$L4 'DAA=: Sr
0,5 sin
360 D m ¦ ( @1 j @2 j @2 j @3 j " @n j @1 j ) , n j1
(7.2)
Sr — !$L % !. . r-D 'DAA= «>$ "A=%D !%$4»; @1j,…, @nj — '$B4 +; !=AB $@="4&4*D '$, A=E4 % +$BAA4 j-D @!=EA; m — 4$B4@AB !%=K @$4FB + ;=@$E @!A4%; n — 4$B4@AB !=AB $@="4&4*D '$. >= %==@A4 % +KK &4#H "E$= 'K4 %K%A= !%4 !=4 'EF HH +E4=K @$%=K. , 4$B4@AB %U= 'DAA= EF 'A= EUJ %4 ABK, '$B4 +; &4 $=%JAB@ %4 $ %KBH EF4 D&4*H U$=. 353
2. G F O «7 ». \L !!BE A!4 !%=$=@ +K= + %=+; "A=;H !$L4 'DAA=, A'A %=+;$@ "A=; EF$=%4@AB %=4U !=AB EA=D%D !%$4, A &BE A!4 +K%#AB@ E@=E$B !@A=E !$L 'DAA=, A'A %=+;#AB@ 4$B=* @A EF$=%@A4 %=4U %@4K !%$4@B=K !=AB. +K= 'E !%=A= + "E$J: Srmax
0,5n m A 2 sin
360 D , n
(7.3)
Sr max — E@=E$B !$L % !. . r-D 'DAA=. @ — E@=E$B +; D&4*H U$=. 3. + PP - . +K D !+= EF 'A= +4*@=* $ FD r-D '$ !=AB !EA-+;#%H $@="4&4H E + AJ !!%J =F; "E$J: Ks r
Sr , Srmax
(7.4)
Ksr — +D$BJJ;=* "4&4#A "A=%@A4 !%$4 ! r-E '$ !=AB; 4. % .
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
@!@'E %=K% !!%;=K "4&4#A4% $ FD '$ !%$4@B=K !=AB. >= &BE @%J +K4% %=@A!JAB +$BAA= !!B !%D @!AD !=A%, L E# EA4 +’@%A= @A!4B AA=;H @@A4 $ ;@=4% 4E4A&4H !=AB, !@A%$=K $@="4&4*=K '$K. >= &BE !EA= &4;H U$= EFAB +'4DA=@, A 4 +'4DA=@ + &4=E= !EAE= !=AB !EA-+;#%H $@="4&4H. ='4 =A4J AA=;H @@A4 =D%$BH %$=;== +E%$=* A=E, L @E %4 *!%4U KA=+# "A=%4@AB ' "A=%4@AB !%$4 EA=D%J 4$B4@AJ !4!=#E@A% A D4+&4* &4$E. +K "4&4#A, A=* %4'F# AA=; @4@AB @$4F%=K !=AB, !@A%$ A4* "E$4: n
K. . r
m
¦ ¦ Bij i 1 j 1
n
m
¦ ¦ Bij
,
(7.5)
i 1 j 1
m..r — !!%;=* "4&4#A (@4@AB AA=;) r-D '$ !=AB; (ij — '$, !=@%#=* i-E @!AE j-E !=AJ; Bij* — E@=E$B 4$B4@AB '$4%, L ED$ 'A= !=@%# i-E @!AE j-E !=AJ. 5. % F . E$ %=+; "A=%@A4 !%$4 + F=E '$E !=AB !EA-+;#%H $@="4&4H E# A=* %=D$: I$.r
Ks r K. . r 100%
(7.6)
6. + >4 ;@ $4+&4H &BD A! @$4@AB EF @A%=A= %=+; &4=K =A4H%. E != "E%4 =A4H% &4= "A=%@A4 !%$4 E#AB@ %==@A%%A= $D4-&4$4@A=;=* !4K4, =* # +ED + @AA4E @A!E A;@A4 %=+;=A= EF4 &4 + F=E $@="4&4*=E '$E. 355
@4EA=; !=*EE A4 A%F: 1. !%$4 EA=D%J 4$B4@AJ # +%=;* "A=%=E, L %=4UJAB@ %@4 !=A, L %KAB $@="4&4*=K '$4%, 4 @4* '$, =* !@A%$JAB 4E4AA=, 4%J# 10; 2. !%$4 # "A=%=E, L EF$=%4@AB %=4U !=AB $=%#AB@ % EFK %4 7,5 9,5 '$; 3. "A=%4@AB !%$4 # %=LJ + @J, L &4 %@4K !=AB, 4 %KAB $@="4&4*D '$, @A%=AB 6,5—7,5 '$; 4. "A=%4@AB !%$4 @!@A4D#AB@, L %@4 !=A &44 %4 5,5 6,5 '$; 5. "A=%4@AB !%$4 # =F;J + @J, L @ '$B &4 $=%#AB@ %4 4,5 5,5 '$ ; 6. =+B "A=%4@AB !%$4 %4!%4# &4;=E !+=E %4 3,5 4,5 '$; 7. !%$4 # "A=%=E != &4;E !+= =F; 3,5 '$. >4'4 &4;4 =A4H "A=%@A4 EFAB 'A= +@A@%4 AF 4 !+=, L KA=+# AA=; @4@AB !=AB, 4 %KAB $@="4&4*=K '$4%.
&4 "A=%@A4 !%$4 + '$E= 'E +4*@J%A=, @!=J;=@B D=;4 +; %=+;$B=K +E4=K Ksr 4 K..r, %4'F=K A'$. 7.3 4 +K%=K 4+ +@A@%E "E$ 7.5 4 7.6. >%;= %4!%44 +K= + K%E %=K %=L @4EA=;=K !@=$B, %=+;=E 4%4 "A=%@A4 !%$4. 7. % . PD$B "A=%4@AB !%$4 EF %=+;=A=, +@A@%J;= A "E$: k
¦ ( Ks r K. . r )
"
r 1
k
100% ,
(7.7)
" — "A=%4@AB EA=D%D !%$4 % &4$E; k — +D$B 4$B4@AB @$4F=K '$4% !%$4@B=K !=AB. &BE A!4 AF %=#AB@ + &4$B +’@%A= %@ FD !+= "A=%@A4 + '$E= $@="4&4*=K !=AB +D$B=* +$BAJ;=* !+=. EF 'A= @DA U$KE +!4$ %$=;= !=%A=K +$BAJ;=K !+=4% !+=, L KA=+# +D$B "A=%4@AB !%$4 % &4$E. 356
357
0,24
0,255
0,27
0,285
0,3
0,85
0,9
0,95
1
0,35
0,332
0,332
0,297
0,28
0,262
0,245
0,227
0,21
0,192
0,175
0,157
0,14
0,122
0,105
0,35
!%$4 "A=%
0,225
0,18
0,6
0,8
0,165
0,55
0,75
0,15
0,5
0,21
0,135
0,45
0,195
0,12
0,4
0,7
0,105
0,35
0,65
0,09
0,3
0,3
*
Ksr
0,45
0,427
0,405
0,382
0,36
0,337
0,315
0,292
0,27
0,247
0,225
0,202
0,18
0,157
0,135
0,45
=+B "A=%4@AB !%$4
0,4
0,38
0,36
0,34
0,32
0,3
0,28
0,26
0.24
0,22
0,2
0,18
0,16
0,14
0,12
0,4
0,55
0,522
0,495
0,467
0,44
0,41
0,385
0,357
0,33
0,302
0,275
0. 247
0,22
0,192
0,165
0,55
"A=%4@AB !%$4 =F; + @J
0,5
0,475
0,45
0,425
0,4
0,375
0,35
0,325
0,3
0,275
0,25
0,225
0,2
0,175
0,15
0,5
0,65
0,617
0,585
0,552
0,52
0,487
0,455
0,422
0,39
0,357
0,325
0,27
0,26
0,227
0,195
0,65
357
"A=%4@AB !%$4
0,6
0,57
0,54
0,51
0,48
0,45
0,42
0,39
0,36
0,33
0,3
0,27
0,24
0,21
0,18
0,6
0,75
0,712
0,675
0,637
0,6
0,562
0,525
0,487
0,45
0,412
0,375
0,337
0,3
0,262
0,225
0,75
"A=%4@AB !%$4 %=L + @J
0,7
0,665
0,63
0,595
0,56
0,525
0,49
0,455
0,42
0,385
0,35
0,315
0,28
0,245
0,21
0,7
0,85
0,807
0,765
0,722
0,68
0,637
0,595
0,552
0,51
0,467
0,425
0,382
0,34
0,297
0,255
0,85
0,9
0,855
0,81
0,765
0,72
0,675
0,63
0,585
0,54
0,495
0,45
0,405
0,36
0,315
0,27
0,9
0,95
0,902
0,855
0,807
0,76
0,712
0,665
0,617
0,57
0,522
0,475
0,427
0,38
0,332
0,285
0,95
!%$4 "A=%
0,8
0,76
0,72
0,68
0,64
0,6
0,56
0,52
0,48
0,44
0,4
0,36
0,32
0,28
0,24
0,8
+J!"+K") )$%(J; 'H'$(/"+#$! &7%)/:!"";
!%$4 +%=;* "A=%
1
0,95
0,9
0,85
0,8
0,75
0,7
0,65
0,6
0,55
0,5
0,45
0,4
0,35
0,3
1
7.3
8. % P .
&4 +D$BH "A=%@A4 !%$4 EF +'=A= + !!%J =F; &4;J A'$=&J (A'$. 7.4), % 4* 4+=E 4%E "A=%@A4 !%$4 @A%=AB@ %4!%44@AB HK4* ;=@$%=* %4%$A 4+ %=+;E EF4 *D %4!%4@A4. 7.4 +J!"+K") $)C:(J; G)*):E"+5 'H'$(/"+#$! &7%)/:!""; 4%4
&4 "A=%@A4
P;, %
6
!%$4 +%=;* "A=%
" = 100
5
!%$4 "A=%
100 > "64
4
"A=%4@AB !%$4 %=L + @J
64 > "49
3
"A=%4@AB !%$4
49 > "36
2
"A=%4@AB !%$4 =F; + @J
36 > "25
1
=+B "A=%4@AB !%$4
25 > "16
0
!%$4 "A=%
16 > "
&BE A!4 AF %A +'=A= +K +D$BH ;@A= "A=% +%’+%=K !%$4@B=K !=AB. 9. + . >4@$ A=E @AA;H %$=;== "A=%@A4 !%$4 % &4$E * +4*@ HH +$BAJ;H &4= %=#AB@ + &4$B &4=A= +%= %@$J% !%$4@BD !&@ % &4$E A + D!E= !=AB !EA-+;#%H $@="4&4H. >4' &4 EF 'A= +4*@ + !EDJ "E$= 7.8. !. = " – (" min + 0,5 · " max),
(7.8)
!. — +% @$ !%$4@BD !&@ % &4$E (+ D!E=); " — "A=%4@AB EA=D%D !%$4 % &4$E (+ D!E=); " min — E44E$B !@A=E=* 4%B "A=%@A4 !%$4 % &4$E (+ D!E=); " max — E@=E$B=* 4%B "A=%@A4 !%$4 % &4$E (+ D!E=). 358
44E$B !@A=E=* 4%B "A=%@A4 !%$4 @A%=AB @'J %$=;=, A KA=+# !+=, !;=J;= + D !%$4 EA=D%J 4$B4@AJ @A# '@$JA "A=%=E. @=E$B=* 4%B "A=%@A4 !%$4 4%J# E@=E$B EF$=%E +;J !+= "A=%@A4 (100 %). E !+=4%, L E4@A=AB@ % FK, "A=; # EA=%E !%$4@BH "A=%@A4. P; &BD !+= @A%=AB @'J @%#4 A$B &=", A %4'F# +; !A=E$BD 4% "A=%@A4.
A=E 4E4A&4* E$B E# =+ !%D, L %=F#AB@ %: 1) ;E D"4;E !@A%$4 EF$=%@A4 %=4U E=K !%$4@B=K !=AB, A 4 +D$BH HK @!@A4 % EFK FH D!=; 2) EF$=%@A4 =D% +D$BJJ;=K "4&4#A4% "A=%@A4 + '$E= !=AB !EA-+;#%H $@="4&4H; 3) EF$=%@A4 + @AA4E @A!E A;@A4 ';=@$ A%JJ;=K @$%=K 4&%D +$BAJ;D !+=; 4) !@AA4 +K4% A%JJ;=K "4&4#A4%; 5) ;@A4 D"4;D !@A%$ 4%4% "A=%@A4 EA=D%D !%$4.
4@JAB 4 4 $4=: 1. P @%#J @A4@AJ !!% 4E4A&4* E$B @A%=AB @'J E$B @AA=;, EEA, !$= @$F=A= 4@AEAE ';=@$ "A=%@A4 EA=D%D !%$4 % !%=* EEA ;@. 2. &4* E$4 !A=; %4@A4 EF$=%@A4 E4EAEA=;D !D+% !4@A%4 ''$ A=E=K =K. 3. EF$=%4@AB @$@A= !D+ @!=;=# "E% +%@4E @A%4=K %=@%4%, E&4* 4 +K4% @$4F, L %!$=%JAB E*'A4* @A '’#A @$4F.
+%’+ + &=E $ '4$BU A;D %=+; "A=%@A4 EA=D%D !%$4 %=#AB@ + &4$B @$4F%A= & !=A + !EDJ =E4;H E$4. >A%=E !!% %=L '+% @AA=; E$B =E4;, $ ;D %%E ;@%=* "A, =* !+;=E ;+ +E4 . +E4 ' %$A= @'J !4 ;@, !ADE D @$4F#AB@ * &4J#AB@ "A=%4@AB !=*AA EA=D%=K !%$4@B=K 4UB E&4*4* !A=&4 '’#A @$4F. &BE %=! !&@ $4+&4H =E4359
;H 4E4A&4*H E$4 ' AK= %44+A=@ %4 $4+&4H HH @AA=;D !AA=!, * @$A=EAB@ + A=K !@$4% %=%=K A!4%: 1. ='4 %F== ;@%H @4. 2. A=E =E4;=K +;B $4+&4H !%$4@B=K 4UB. 3. ='4 EA !D+%. 4. PKF !D+=K &4=K +;B @$4F%=K !+=4%. 5. +K 4 &4 !D+D +; "A=%@A4 EA=D%D !%$4. 6. &4 +% %@$ !%$4 EA=D%J 4$B4@AJ. +D$E $4U $4+&4J FD A!. 1. / F . ='4 %F== ;@%H @4 +4*@J#AB@ %=K;= + E4% E@=E4+&4H !% 4E4A&4*=K @!=EA4% + EAJ A=E *'4$BU @A%4=K =K $ 4@D !D+% @A !%$4@BH 'A= ("E$ 7.9). T = t1 + t2 + t3 + …+ tz, (7.9) — +D$B %F= ;@%H @4 (E4@&B, %A$, 4, 4$B 4%); t1, t2, t3, …,tz — ;@%4 %44+=, ;+ 4 !%AB@ 4E4A&4*4 @!=EA=; z — 4$B4@AB @!=EA4%. >= %='4 !AF@A4 ;@%=K %44+4% &4$B=E %=#AB@, L' &4 %44+= '$= 4%=E= E4F @'J $ A=E '4$BU @A%4D 4&%D +$BAA. 2. + .
A=E =E4;=K +;B $4+&4H !%$4@B=K 4UB +4*@J#AB@ % +$BAA4 !% z 4E4A&4*=K @!=EA4%. !&@4 HKBD !% A=EJAB +; &4=K =A4H%, 4 !@A%$JAB@ 4E4AAE= $ FD n-D !=A, %$J;D % F 4E4A&4*=* @!=EA, !%=* !%=* ;@%=* %44+ tz EFK FD r-D '$ !EA-+;#%H $@="4&4H. /"4; 4A!A&4J A=E%=K +$BAA4% !4 ;@ $4+&4H &BD !&@ !@A%$ =@. 7.5. 360
'$=
10 9 8 7 6 5 4 3 2 1 0
t1
t2
t3
tz
A=E;@% U$ 1
2
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