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!"#
$"%"
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
• '#()""%(%%(*)"+
• , -. %".%'+/&.) "0 -& %'% (#(%"(#(## 0"+
• 12"%/ !3 )(",'4"5((% '#"(66#/
• *"##6) "'" &* '*(% (## 0"+
• 13(66 2"+*(#*'#(% (## 0"+
• (0"6"*# "+-0##,"(**"6%"+
• 0"(##%)"7'"% 4#)
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
π !"
ρπ = #$%
&
[ ] [ ]−= ρ #$%
[ ] [ ]−= #$%
[ ] [ ] = #$%
[ ] [ ]−= #$%
[ ] [ ] [ ] [ ] [ ] −−−=∴ #$%
'(
[ ] += #$%
[ ] ++−= #$%
[ ] −−= #$%
#)*$π% #%+ ( −=−=−= #*%
,"
==∴ −−−
ρρπ #-%
.
ρ
π = #$%
///////////////////////////////////////////////////////////////////
=,> => ;
===
ρρ #*%
ρ => =,> " ;
===
#*%
=,> =>";
===∴
#*%
9;
""
"
=
−=
−
8"569 ,256*67 #-%
///////////////////////////////////////////////////////////////////
0. ,; 8 -22 8 -)22 8 $-22
α B6C 0 , $D7 -D463&<;
#% #6%#% #B%
#% ,θθ #6%
#% ββ #4%
#% (, #)% #% &," #*%
#% "
===
ππ
"
===
ππ #6%
#% 3 "
====
ππ
3 "
====
ππ
#B%
#% +,#%θ "
=°== αθ
+,#%θ "
.θF2#'(% #6%
#% β
°=
−=
−= −−
θβ
β
°=
=
=∴ −−
β #4%
#% ('(
( ) #
===−= θθθ ρ & #)%
=
µρ =
( ) ε=
=
+Ω≈
θθ !
! &&
= θ&=Ω
θ! Ω≈ && ( ) θ! Ω≈&&
θθ −=
θθ =
( ) ( ) ( ) ( )! =++ &&&
"" =++ ωζω &&&
!" =ω ( ) ( )! " == ωζ
#
∂∂= µτ
# ∂∂= τµ
( ) $ ω= ( ) $% ω
=
( ) $%$ ωω=& ( ) $% ωω −=&&
( ) ( )
%
" ζω +−=
( ) =∴
= =
= ( )" ρ=∴
ρπ =
( ) " =
ρ=
=π
=π
=
== πππ
ρρππ
==
=∴π
$"! −=
== ππ
ρ
ππ ==
ρ
ππ&
& ==
µρπ
=
επ =
( )## = !&# =
µρ& = ! µ=
"# = === "
( )( )
'(("
'((")' = ( )
=
=
&=η
= =
ρ&& =
=
εµ
ρ
=
εµ
ρρ
&
( )
==
( )
&&
&
==ρ
( )( )
&
=η
==∴ −−π ρ
τππ τ ==
*
&&
= ρ
τρ
τρρ
τπππ τ
===
ρ
ππ ==
ππ =
=Ω=
ππ =
=Ω= && === ρρ
ππ == ρπρπ =
+=
=
=
θθθτ
'"
'
'"#
&&
4434421
43421
θθ −== &&
θθ −= ( ) θθτ −=Ω= &&
( ) θθρ −= +#(,()) ≥
( )
+#(
=
=
+#(
+#(
Ω===
("("
("#'
')#( ρρη
!
++
=
==
++=
( )
π=
==
+−= %&'()*%+)
,
-%
)
*%)
,
===
= πππ
=π
=π
&& =π
πφ =
ρψ =
ρψ = (" &=η
(" &=η ηφψπ =&
=
=
( )
" ρ= " +=
( )(" &=η ( )(" &=η
( )
-
ρ&Ω=Ω
( )( )
'(("
'(("' =π
=&
&
=
θθ −= ( ) θθ −= && ( ) θθρ −=
θθρ −=== &&&
( ) θθρ −=
. // −= .- // −−=−=
- =
0 =
-
-
-
∆−==
η -
-
===
ηηη
' ηηηη =
$ =
$
$
π=
αρα
-
/
∆+++=+
ρρ
/
-
ρρρ&
+∆+∆+++=+
/
∆++=++
ρρ
/
/
ρρρ
&
+∆+++=++
( ) //
∆−−+−+−=
ρρ&
( ) //
∆−−+−=
ρρ&
( ) -
,())
'!#(" ==η
/
−∆+−=−ρ
ηηπ ==
) γγπ ==
!
=π =π
επ = νπ
=
γπ =
γπ &=
( )
−
=
−
−
γγ
η
→→
γγ &&
=
=
&
=
&
η