Lektsia__4_Konspekt (лекции мжг Харитонов pdf)
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344'9*∫∫ 2 34.2: =b ; 1 =29 ⋅ 4∫∫ 2 34 K.4'V*4 4 7 /1 8 7 ; / 1 K- 4 7I)"62&8K- )7 /1 IN<; 1 = ; / 1 + 29. ⋅ 4'F*:&7) &<;2 : = 29 + / 1'E*29 ⋅ 4.2 1)"74 ?6 & I2 16 )"7 )872KI )87 )2 )I- ?7)- - X28& 6 2 16 I -" )R)N7 & & 22 )"= 8& N ) O &2&2)"d&2 )"71 81)"7I ?8 1 )2 2 '?8 162*I)6162 )7 8 )1722')162*\2 16 1 & 1 )"7 1 &8 R 16< -87 1 7 1\)7 / 2 7?8 162&2)" 4 \ )872 - ?)- 5 = 1 )6 34 7" 8I & 82 )" )?&7I 87 & &2)" 34 & 72 ) )7 K & ) 1 3 8 )6 34 ) ) 2I -8716= )6 )&<38* = ρ ⋅ 7 ⋅ 5 ⋅ 34 ⋅ ef_ ϕ = ρ ⋅ 7 ⋅ 5 ⋅ 34( '^*) &W- '^*)2)" 4 I16 1= )"78* = ∫∫ ρ ⋅ 7 ⋅ 5 ⋅ 34( = ρ ⋅ 7 ⋅ ∫∫ 5 ⋅ 34( 44-87 1'0/*W- )2 & '0/* ) ?2 &2 72 ) )" 4 7 / 2 4 2 &-<8* = ρ ⋅ 7 ⋅ 59 ( ⋅ 4( '00*B?8I-8716& 1 ) 1 I )16 1 ?2 )1&2 7 1 )7I ) =2)47 16 = 1)6 34 )&<38( = ρ ⋅ 7 ⋅ 5 ⋅ 34 ⋅ _`a ϕ = ρ ⋅ 7 ⋅ 5 ⋅ 34* '0.*W- '0.*)2)" 4 I) &7 116 1= )"78( = ρ ⋅ 7 ⋅ ∫∫ 5 ⋅ 34*'03*4H8&2 - '03* & @ = ?TRI 81&R2 &2 2I?2 )"71 72) 162)"71I)2 4 1?8&781B?8I716& 1 ?TR )" &8 $ X&)7 "2 )")- ?TI ?6R2 ?2 )"I 2)"=-?TI?6R2 I &? ?7 )8 +" 4? 1 & ) 2 162 ) & ' +"* 81 86&?:&I&)16--86?8)7$)22+"81KK? $)&=")") )- ?T8)7)I8 ")g& ) I 8 +" ? ) 8?1 & 0E \7 7 I 8I N ) 8 8 & 8 8 L ? N7 7 &2I -2)-I&? 7 40V0.- 2) ? A\ "I )- R" DI )- - + & +" W & =)7 8 6K-I2)?R))78 "'0Y// ) * 2 ) ) & 8 )- 2 '09VG0V.* @ 2 72&R2I 7 =)72 K8I) &2 "I IKK:))3.-&"2< 8 I) h)IK84I6&)I8I&b 2I4IUIbIh) 61 -8))7 $"8"2- )7J)I&71 ?8-&87346 -72)2 -271\ I && 8)271 6162 )2 -271 - 72 :) )8I& = & ? )"7 &)I)- 1K L2R ?2)"I)"2)- I 8 ) 6162 L 1&& 2 1<<$="? <1< = ω .
⋅ = ⋅ ef_ α = ω . ⋅ = ⋅ = ω . ⋅ 1'0*=2> = ω . ⋅ = ⋅ ef_ β = ω . ⋅ = ⋅ = ω . ⋅ 2'09*=? = −7'0V*$$KKK K 2O236 = ρ ⋅ ' < ⋅ 31 + > ⋅ 32 + ? ⋅ 3@ *'0F*$ '0F* 8& )2"<36 = ρ ⋅ϖ . ⋅ ' 1 ⋅ 31 + 2 ⋅ 32 * − ρ ⋅ 7 ⋅ 3@'0E*$ 7 2 & ?2 )"8<) 1 = 1/ i 2 = 2/ i @ = @/ 6 = 6/ '0^*$-))2-) &<ρ ⋅ ω . ⋅ ' 1 . − 1/. * ρ ⋅ ω . ⋅ ' 2. − 2/. *+− ρ ⋅ 7 ⋅ ' @ − @/ *..Z?7 1/ = /i 2/ = /i @/ = 5 I './*)<6 = 6/ +ρ ⋅ω . ⋅ = .6 = 6/ +− ρ ⋅ 7 ⋅ ' @ − 5*.$")-' 6 = 6A = 9BCDEA *<ω.
⋅ =.@ =+F.7-)&<' 6/ − 6A + ρ ⋅ 7 ⋅ 5*F =ρ⋅7'./*'.0*'..*'.3*g?2)") &8 '..I.3*I) 6A = 6/ <ω. ⋅ =.+5'.*.7g'..*'.*)81I&?)"7I)")-1K )?6\ & b = I @ : & ?2 )" =2&2))K '.*X&b&7)K '.0*<ρ ⋅ω . ⋅ = .'.9*6 = 6/ +− ρ ⋅ 7 ⋅ @ + ρ ⋅ 7 ⋅5 .6 = 6/ + ρ ⋅ 7 ⋅ ' @( ( − @ *'.V* B ?8I I6162 - 72)2 -271I)) 1-X7I&)"78 " N16" 2 82)71I )I I I616)2 -271 -72I7)?6$N)&"8&)8)72")?6<:?TR)?6))8)6-π ⋅ G.
⋅ H'.F*I, =.:?TR 8N"2 & )? &7 )K <π ⋅ ' G . − G0. * ⋅ Jπ ⋅ 7 ⋅ J.'.E*I ==.ω.4 )? H &7)K <G. ⋅ω .H ='.^*.7@( ( =46 --872)2 -271 4? I&?7 / 2 )716B-)"? <1'3/*< = ω . ⋅ = ⋅ ef_ α = ω . ⋅ = ⋅ = ω . ⋅ 1= ? = − 7 + ω . ⋅ @'30*\N =2 2 ) 8&7 4-?7N"&" 2 8&7 7N "$7L)I /I0I&?0///?YI- ω . ⋅ = )))N 8--$?- I ) $KKK K 2O236 = ρ ⋅ ' < ⋅ 31 + > ⋅ 32 + ? ⋅ 3@ *$= 8&)2"<36 = ρ ⋅ϖ .
⋅ 1 ⋅ 31 − ρ ⋅ϖ . ⋅ @ ⋅ 3@ '3.*$ 72&?2)"8<)1 = 1/ i @ = @/ 6 = 6/ '33*$-))2-) &<ρ ⋅ ω . ⋅ ' 1 . − 1/. * ρ ⋅ ω . ⋅ ' @. − @/. *ρ ⋅ ω. ⋅ '=. − =/. *'3*6 = 6/ ++= 6/ +...$" )- ' 6 = 6A = 9BCDEA * @ - &I)16716 <= = 9BCDE'39*6=6g?2)") &8 '3*I)/<=(( = =/'3V*U)) )?&9$2 ) 4 )2 I82 I ) )2 R J 7 72 K I))) 1 ) 1 ) X )R 71) - α -8 ) '− K * $"? << = K ⋅ ef_ α> = /? = − 7 + K ⋅ _`a α$KKKK 2O2)<36 = ρ ⋅ 'K ⋅ ef_ α ⋅ 31 + '− 7 + K ⋅ _`a α * ⋅ 3@ *'3F*'3E*'3^*'/*$-<6 = ρ ⋅ K ⋅ ef_ α ⋅ 1 − ρ ⋅ ' 7 − K ⋅ _`a α * ⋅ @ + F'0*X ) )2 - ?8& & ?2)"<'.*) 1 = 1/ i @ = @/ 6 = 6/$))2-<6 = 6/ + ρ ⋅ K ⋅ ef_ α ⋅ ' 1 − 1/ * − ρ ⋅ ' 7 − K ⋅ _`a α * ⋅ ' @ − @/ *'3*$" )- )1 ?2 )I R ) 1/ 2 ) - ϕ <K ⋅ ef_ α@ =⋅ 1 + F0 = E7ϕ ⋅ 1 + F0 '*7 − K ⋅ _`a α\)872&b)?2)"71W<6L = 6/ + ρ ⋅ K ⋅ ef_ α ⋅ ' 1L − 1/ * − ρ ⋅ ' 7 − K ⋅ _`a α * ⋅ ' @L − @/ *'9*6L = 6/ + ρ ⋅ ' 7 − K ⋅ ef_ α * ⋅ '' @/ − @L * − E7ϕ ⋅ ' 1/ − 1L **'V*4 '' @/ − @L * − E7ϕ ⋅ ' 1/ − 1L ** )?2- ? )- &b)?2)"71I8&- I&) &228I-&28 8)626L = 6/ + ρ ⋅ ' 7 − K ⋅ ef_ α * ⋅ 5L'F*4 ?6 & ' - 8- * 'F*'E*G8 -"?" ?7I?8 7K8&<6L = 6/ + ρ ⋅ ' 7 ± K ⋅ ef_ α * ⋅ 5L'E*X7I&)?7?8 71) 2 ) ? )"7 ) ?2 )7I)7 12)X 7I & ) 71 )-87 ) K ?)"7 )?2)7IR 1-872)) -Kϕ = K=9E7 '^*7W8 - 8&1 8 6R ? 8 R82 @ 8&7 K 8 &RI -I I K8I IKKI =)I 8? j))@8$:NR 1 8 2 &- 8I )2 -I 8 82 -I -" 8&7"8?2@KI-&2)I7I?62)- -8 $7 '0V.3G0VV.* 7 O7 $II &R-I -IN- 2 @A $I G-)D G - O7$7 - $ : 8 ?8 ? 8K7)? 4 8 8)872 -2I )7I & =)N8 &17"8 LI & -I ""?T8 " -"I 2I &-& K- 7 8 -1 )7 3.
) O ' - -7* : 8 - 8 8 A)&DI A &D &2 ? )? I 8N )67 -4 !"#"$%&"'("&')&%"*+*$ &",,&" -."( (* $"(*)( ( 013,"(,&" 41(("'()&01&)&&6( 68($ :'0," %&$""*4""$'"('+'" '0,""%&+ #"& ; "<= % (," (& &"*&" &" ("'' " () "<'= 8 &$&"('&"(0'' *">","'1)&"&$%+@@A-BB3'$=C&"0'D''&"<&$'&" = % (& '4 &' "*&" ; %" "*= 8 & 0' , E"0 (")&&0 '&'#&&0(#& & "1 (D"F " (, (& & ('06 ' "$"'","6(=8$=%()""(%'%E0F@&$&0#4'00(&'& *D$(%'&" *0 & :"&& *D' 0 @ (**D'&&$&(;(,""'&'&"E&"*'F=4 &7 =- - &R- 8 8 I 8 8)-I JI ) 8 & I J'H*I8 "JB.