!"!#$%&!'(%!(%
)*+*$%#,$!' //,$-0(
)1!1"1!2$3456#,$72,28'*9:
#2$/456
;*9:#2$/456
;*9:#(<,&(!(=#,$2,
;'0*9:2>,$(4'">
?@A%!:-$4?BAC&BA;&BDC
E4,$!!' //,$-0(-F-&4*+G&
H@IJ8*K:#2$3456
?@L8
H@:4,
!"#$%&'()MNOPQR!76!4
ISTDQUAVWXAYZS;Y[ ISTDQUAVWXI\VBYI
]K*^,!6!'
]A^,$!!' //,$-0
4*+G&-F-&
],2+*!-_#!'-
2$/&!`8R
-2$/a
I':!76=:
!"#$%&'*)MOPDb,2!6$%
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
]+f,$!'//,$-0
b!gM!gb84>P
]A;<h
K!'/b,2,-
!'!`i%R
2,a
B**%,,2,
-!'/-j
,$K>ia
;-_#,$72,
]/*b!g!':
!76
]->8<h
`i-Fk<,
*%4l
4m$+
!"#$%
n
o
ϕ
n
ϕ
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
?
S
?
2$36&45
6+*4m8
a
]A;>>!94**
+*!-_#,$!'
/
$%
ϕ
q"!#
$%-
]& ;-_#!',ri2,
+*4m%
ϕ
8
$%
A%
ϕ
4l-
!"#$%&'+)MOPDb,2!6!'(%
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
]A;=.8
9:_!'(-4b&
!'(:i#72,s
m8?o
]A;>>!^!6
!'(%-4b&!'(
%:i
ω
t
?H
?H
−
−
ϕϕ
t
∆
∆
ϕ
ω
t
u
ϕ
MP
]94*"!#!'(
%&*-(#!'(%
].8*9:
!
4
t
∆
∆
]&
ω
t
?H
?H
−
−
ϕϕ
t
∆
∆
ϕ
ω
t
u
ϕ
MP
"!#!'(%-@
ω
t!'/6
ω
5!'/K9
6
&%!"#$%
ω
t
?H
?H
−
−
ϕϕ
t
∆
∆
ϕ
ω
t
u
ϕ
MP
"!#!'(%-@
ω
t!'/6
ω
5!'/K96
!"#$%&',)MOPDb,2!6(%
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
]A;=.8
9:_(-4b&
(:i#72,s
m8?o
]A;>>!^!6
(%-4b&(%
:i&"!(%
γ
t
?H
?H
−
−
ωω
t
∆
∆
ω
γ
t
u
ω
MP
"!(%-@
H
]A;8v!8w
:!62$/
456
]A!<h
ωγ
xob!'/
a
ωγ
yob!'/
a
]A;'+f&45
].8*9:
]&
γ
t
?H
?H
−
−
ωω
t
∆
∆
ω
γ
t
u
ω
MP
"!(%-@
H
]
]->8i
/=6
/',=6
]&
' &%#$%
γ
t
?H
?H
−
−
ωω
t
∆
∆
ω
γ
t
u
ω
MP
"!(%-@
H
ωγ
xob!'/=
6
ωγ
yob!'/',=
6
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
H
!"#$%&'-)MOP*"-b$#2$/456
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
]A;.8*
9:#2$3
6!456
]A;^*9:#
2$/456
]A;->8i<h
V
z
-BAC
]A;'+f&45
].89:
]
]->8i
()%*+, #/0.+!".#+%
%1 %+234.!".#52 3
6
ω
tl(
o
ωϕϕ
+=
4456
γ
ω
o
ω
γ
ϕ
γωϕ
H
?
oo
++
!
PMH
o
H
o
H
ϕϕγωω
−=−
!"#$%&'.)MOP;'(!(#,$2,-!'/
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
/0
]A;7,*K:"4>,=>$%&!'(%&(%&*
9:#2$/456&!G"(#,$2,-!' -2$
/6!K96
]A;IB<4^1K*!6#!G"(
#2$-FK96!
2$-F6
1231A;R!6
8,*4'?
÷
{-BAC!mB)D
Q-$4HBAC
45#6+76,6789:;<
==>
n*42"-b"4>#2$/!!8',$"
-b
;42:#,,G/*_#,$!'(!,$-0/!v !'8_
#8
==?@A
?@A%!-$4HBAC&BA;!**,K>
E4,$/>-:(!,$/>-:_28,_^,G<hV
?
&V
H
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
|
!V
|
H@I8,-mG<h
98(!(<,
===BCDEFGF<
?@L8
H@:4,
HI!".#@C2,-4}
ISTDQUAVWXAYZS;Y[ ISTDQUAVWXI\VBYI
A;<h!IB84>->8i
R2,#,$!' 2$/
,$-0(
)2:+*(!(
<,
V*#2$/456
A;'+f&*_2,
IB84>->8i
!"#$%&'*)MOPDb,,(8^`(%!,,G81
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
A;IB$,0?
BAC
A;<h
pf,$872,%
K(8,
b`,,G81
!((%,(8^!
G42:a
~2,-!'2$
!!'(%!(%
!a
Q(!!' b%42
:a
A;'+f&45!K8'
IB+G,BAC
IB->8i
IB&
&JK.+L#M # &%#$%NO
PHPQ.JR%
~,G81(!,$-0
/
M t•t•-M?P
4~(8^`(%!
,,G81
MtM
∑
H
"#
P
γ
MHP
!"#$%&'+)MOPDb,2!6,,G/*_
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
z
S
?
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
]A;IB+G,$,0H
BAC&%->8i*<h
;j,,G81MKM
∑
H
"#
P8b(%
γ
a
A(%
γ
h&8%8
6ba
!'8
∑
H
"#
%
2R-!'!6"
^b-2$/a
]A;'+f!94*v
#8,,G/*
_Yt
∑
H
"#
MHP
IB+G,BAC! ->8i HPQ.52).S.+
Q BAC
4)2:
Yt
∑
H
"#
M|P
€~,G/*_#,$(
!' %b(+:
-Fb-0R
Yt
H
?
,•
H
,>
Yt
?H
?
,8
H
8
Yt
|
?
,8
H
8
b=R
Yt
N
H
,8
H
HI!".#(TUOPn"-b$81#!' //,$-0(
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
A;=IB1!42:
MHP!M|P2-O-,(8^
`M !Y!
γ
IB-O- |6+, #/0.+!".#JR%+%
%1 NV/W.52 352 .+P"
/X%%&!Y.+
M tY
γ
HI!".#(TU*+ZP)'!_0
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
A;=IBK $
4'!8i>
A;<hIs`
4_K1^>,$
4*^!'
A;!‚>>4'&!‚
*4_K
>,$4*^!'
IB+G,BAC
IB ->8i
IB&
(@OV*NS[X
n"*>
Q6+**8
s4!*8=b,
p*!42ƒ*81
*08*!'&6
"
;"-b$81
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
N
!'2$!
!'2$/
A>*"-b2b,
*8
=\G]G^
A;7,88,,G/*_!"-b"4>#2$/#!'
.8*!'0*"-b2>4*2$/#,$!'
cR!68,*4'mBAC!B)D
282
I!'&K(8HK!?&NK(!4l,$<,>?&NK
;./,$-F-.m,f,$4MI!gP•F-%,,G
/*_o&?HNK,
H
!4*K_o&?N,A>„<K9---F-
!,*m,R4!m-0-F-8K9*K27t…&{,@
H
HK
D_(#!'
4D_81†D
?
!D
H
m*<
45#6-@\=6
==>
<.*9:_,,G/*_#*!' k7!"-b"4>#
2$/#!'
;'0"-b"4>#2$/#!' 2>,$(4'"1
==?@
?@A%!>-*4'mBAC&B)D
VE4'!
H@IJ8"-b"4>#2$/!42:_,,G/*_
===BCDEFGF<
?@L8
H@:4,
6=_<6
@OT~$!'%8,$!hb=,h&%4*K_•tH,~$,,G81…‡o,*0
!!'&<-!',$(%
γ
t‡&H-@
H
/,$-0/<,D_
~,G/*_#!'
4 C(8#!'
@OT~$-F-%4*K_•t?o,&%,,G/*_Yt??o
]|
K,
H
(!-0#%•F
-81K95•tH&?!!D_
A(%#-F-
4 ;'(%#-F-|&4-l8O=-F-:
@O'T~$/>=Rk_&%K(8?&‡NK&4*K_•to&HH‡,D_
~,G818,//>=+/,$-0/<,#%2-6%,$!'(
%|?ˆ-@-?N&N)-l8O=/>=:
4 1*0!,$2,#/>=m+-0/7
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
‡
@O(T~$-F-%8,$b-0R&k7&%K(8,to&HK
~$<,>&K9s&!./-F-&=<.!'%K(8
,
?
to&|NK!,
H
to&NNK)<K9---F-!-F-K9%,
*m-07t…&{,@
H
Is_
A(#!',
H
4
Dw(81†,
?
!"#$%&'()MOP:4?
ISTDQUAVWXAYZS;Y[ ISTDQUAVWXI\VBYI
]A;=K 6!*
>/
]A;?84>-b48i>
]A;*K*'+f
]A;'+f&**!2,
]IB6! *>
]IB84>
%Mt
γ
Y
⇒
Yt
γ
$
t?NNK,
H
Yt,•
H
⇒
,t|{&ˆNK
]IB'+f
!"#$%&'*)MOPDb,24H
ISTDQUAVWXAYZS;Y[ ISTDQUAVWXI\VBYI
]A;=K 6!*
>/
]Q#A;
c1!42:2_(%a
Q2_(%=_*-#
8a
)2:!'(%:ia
]A;?84>-b48i>
]A;=*K*'+f&45
]A;'+f&**!2,
]IB6! *>
]IB>G1v#A;
]IB84>
γ
t
$
t
%&
tH?o-@
H
ω
t
γ
t‡|o-@
]IB'+f&45
!"#$%&'+)MOPDb,24|
ISTDQUAVWXAYZS;Y[ ISTDQUAVWXI\VBYI
]A;=K 6!*
>/
]Q#A;
c1!"-b2_,,G81a
Q2_,,G~=b,*-#*
8!b,
D‚42:-81a
]A;?84>-b48i>
]IB6! *>
]IB>G1v#I;
]IB84>
γ
t
ω
tHo&zN-@
H
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
ˆ
]A;=*K*'+f&45
]A;'+f&**!2,
Yt
H
?
,•
H
to&ozHK,
H
Mt
γ
Yto&{‡,
⇒
•
t
%
$
t|&{
!"#$%&',@MOPDb,24z
ISTDQUAVWXAYZS;Y[ ISTDQUAVWXI\VBYI
]A;=IB6! *>
/
]Q#A;
p**81*08‚!'!-F
-M42ƒ-b!gP
;"-b8'YY]D"
‚!'!"-b2$/
-F-
c1!*"-b--*-
#*8=b,
]A;*K/>b,
]A;'+f&45!%,.8i>8
4>
]IB6! *>
]IB>G1v#A;
]IBK/>
]IB&
=\G`G^
A;.8*"-b&42:iR2_*,$4*#2$/
cR!6>*4'-BAC
45#6.Ea:7b
==>
n*42 !!42:#,,G$8#,$!' //,$-0
n*428_4,,G$8&8'4>,,G$8
;'08'4>!8_4,,G$82>_,$(^
!'8_!>,$(4'"1mBAC
==?@A
?@A%!E4,$/!/>28,_^,&!,$(!_01
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
{
:-$4|BAC&mBA;!BDC
H@I8,-m_^,bNHBAC!'+f
98K:!6+#81&,,G81sm8?o
===BCDEFGF<
?@L8
H@:4,
!"#$%&'(@MOPDb,2!6,,G$8
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
€QR!76A;^!6
*!'$!-4†&
+&
]A;$,0?
BAC
]A;^&>>!*
!-F9/b!g
#
42:t,!-%
!42:~
t•a
!6,,G$
8!42:_
,,G$8%7
!!'(%
ω
a
]A;94* !
42:#,,G$8
BAC
]IB':4
]IB+G,BAC
]IB->8i
]IB&
HPQ.!".#J,c.#
cK*#"-b
$81#!' /
/,$-0(
Mt
'
'(
!tY
ω
4~,G$8
tY
ω
Q"!#,,G$88
C,
H
@
!"#$%&'*@MOPDb,2!68_4,,G$8
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
]A;=7BAC!+<
19:G1
‰#A;
D‚42:MtY
γ
!tY
ω
s+<18_4
,,G$8
)2:8'YY]
D"mK*!
a
]IB8,!^
]IB-b4
]IB&
$( ∆=∆
Y.+JSd.+K.PHPQ.
!".#J,c.#
(∆
tM
∆
(∆
t
H
Š
?
$4
,,G$8
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
…
]A;-b4
]A;'+f&45!9
4BAC
]A;=!_0,
8_4,,G
$8
€Q#A;‚42
:
$
∆
∆
=
ω
-42:
+*
ω
∆
!'+f
]A;'+f&45*!_0
2,8_4
,,G$8
]IB!_0
]IB->8i
]IB&
!"#$%&'+)MOPDb,2!68'4>,,G$8
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
]A!<h
~tob42:8_
4,,G$8
!a
!',,G$8
#^%*-a
n*42$8'
4>,,G$8
]A!'+f!94*
BAC
]A;!_0!Ovm
BAC
]A;<h-`
-ib%
2*08'4>
,,G$8a
]A;'+f&45!7
,6K^2*0
8'4>,,G$8
]A;>_^
-=,h4&8,
_^,bNHBAC!
>_^/*
]IB->8i
]IB&
]IB+G,BAC
]IB->8i
]IB2!'0
]IB->8i
'Y.+J2VdeHHO.PHPQ.
!".#J,c.#
$BAC
4)2:tl(
⇔
HH??
ωω
=
=\G]G^
A;.8 !42:,,G$8&$!42:#8_4
,,G$8!8'4>,,G$8
A;=.86K^2*08'4>,,G$8!:0#%
A;R!68,*4'-BAC!B)Dq-$4,!4BAC
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
?o
45#69`
==>
;42:#$†#!' //,$-0
n*428_4$†
;9:ƒ>8_!6-0
;'0K*^,$†/!8_4$†2>_2$
/!6"^†8!>,$(4'
==?@A
?@A%!:-$4E4,$(!_01
H@IJ8$†#72,&9:_!'(#,$2,2$-F
===BCDEFGF<
?@L8
H@:4,
!"#$%&'(@MOPC2,-4}
ISTDQUAVWXAYZS;Y[ ISTDQUAVWXI\VBYI
]A;<h!84>->8i
*428_4,,G$8
!!"-bƒ>8_
!"-bƒ>8'4>
,,G$8
,$!'$!-4†^'%2
†($/‚o&N!F@8|!F@
,,G/*_#i78O=8
z&‡K,
H
b8O4l4a
]A;*K*'+f
]A;'+f&45&**!2,
]IB84>->8i
]IB'+f
!"#$%&'*)MOPDb,!6$†#,$!' //,$-0(
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
€A;!76=,m
=mBAC
]A;,0YmBAC
]A;!gb84>!?
84>-b48!^+<
142:$†#!'
//,$-0
,
]IB':4
]IB+G,BAC
]IB84>-b4
D%
)
*
t
H
H
?
#
‹
t
H
H
?
#
∑
t
∑
H
H
H
"#
ω
t
H
H
?
ω
]IB'+f&45
".#.f.#%1 NV/W.52 3
52 .+P"/X%%&!Y.+
‹
t
H
H
?
ω
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
??
]A;h*K*4+<
19:O&
%r45
]A;'+f!K8'
BAC
!"#$%&'+)MOPQ8_4$†
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
]A;->8i<V
?
mBAC
]A;=.8$
!!42:ƒ>8_!6
$†#72,2
$sm8?o
]A;94*8_*
0!' /
/,$-0
]A;*42$!
!42:#8_4
$†#!' /
]A;.8$!42
:#8_!7,
Xxo$†#!'†
Xyo$†#!'>,
]IB->8i
]IB->8i
]IB*42
)
*∆
t
H
H
H
?
ω
]
H
?
H
?
ω
tX
]IB
Y.+JSd.+K.!".#.f.#
)
*∆
t
H
H
H
?
ω
]
H
?
H
?
ω
tX
HI!".#(T)'*0
ISTDQUAVWXA; ISTDQUAVWXIB UYcdAAIY)eA
A;=IB!%,.6
4!+G,8i>-BAC
A;!‚<_&!‚>>
IB+G,BAC
IB
'T@OV*)*[X.#
=\G]G^
A;.842:#$†/_4$†
A;'+f&45
A;R!68,*4'mBAC!B)D!$4NBAC
45#6:123
==>
*9:!"-b"4>#2$/
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
?H
;'0"*$81!"**8'4>2>*4*%
_75&"1m-4
==?@A
?@A%!>-*4*mBAC&mB)D
c1K,$(8=,,%2,.>K>4'
H@IJ8*9:!"-b#2$/
J8"*$81!"**8'4>m8?o
===BCDEFGF<
?@L8
H@:4,
6=_<6
@OT~$!}-0K2,--,$,*8<,i%k-,$m=
/*-0N,~*†(-NG9:
ϕ
to&|
H
-%_4l<&
ϕ
_4l
-Is_
D($%!($#i%i2,tN
4C%>,$(4l48=(--iVt?o,@
H
@OT~$ ,b-0R%K(8{K!4*K_ˆN,D_
~,G/*_#%(!-0//<,
4~,G81=>*0! ,2†(‚wNo-@-N&4-l
%‚*0#,,G81b /',=8O‚8,7zN
@O'@I!'(!4l,$<K9s&K(8K9
*K2&./,$-F-MI!gP;'m-4K(8,
?
tH&NK&
!'K%K(8,
H
tHK•F-%8,$b-0-r&%K(
8,t?&NKI^(,*`!'!48
µ
to&H)-F-K9
%,*!<K9---F-7t?o,@
H
D>^2$
Is_
A(#!'
41†#*<
@O(T~$/>=R8†K9-K9!'(=‚w#,$,R3%
α
!"V6#,R38Is+*($#K(<,/>=
<,R3
)l"*$81
4)l"*†8
HI!".#@Db,2!64?
ISTDQUAVWXA; ISTDQUAVWXIB
A;*'!=IB$
4?! *>/
A;^%,?8-b48i>!
=*%,F8GŒ2'+f&45
IB''!4.=8,!^
Q^%,?84>
u
ϕω
=
to&‡to&‡Nt|-@
;t
"
ω
t|Nt?N,@
u
ωγ
=
to&‡-@
H
"
γ
=
to&‡Nt|,@
H
"
H
ω
=
t|
H
NtzN,@
H
HH
+=
t
HH
zN| +
≈
zN&o?,@
H
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
?|
?
#
H
#
A;*%,K*'+f
A;'+f&45!K8'
?o
o?&zN
=⇒
≈
zN
IB&
HI!".#TDb,24H
ISTDQUAVWXA; ISTDQUAVWXIB
A;=IB$4! *
>/
A;^%,H8-b48i>!
=*%,F8GŒ2'+f&45
A;*%,K*'+f
A;'+f&45!K8'
IB''!4.=8,!^
Q^%,H84>
IB&
HI!".#'TDb,24|
ISTDQUAVWXA; ISTDQUAVWXIB
A;=IB$4! *
>/
A;^%,H8-b48i>!
=*%,F8GŒ2'+f&45
A;*%,K*'+f
A;'+f&45!K8'
IB''!4.=8,!^
Q^%,H84>
IB&
=\G]G^
A;.!68,*4'mBAC!B)D
J87>*K:s28,4K2,-?
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
?z
gAh==_
i
j2~$!' /6/,$-0(/!';'(#,$2,+*-!'
m*-0/K>-•o%$8
XK95 )4lK9
V†=Gi c>,=Gi
j2~$!' /',=6/,$-0(+/!'D,$2,+*-!'
*-0/,$K>-•ob8<K90$-a
X;'( );'(%VA( cA(<,
j2'~$!' /=6/,$-0(+/!'~$2,-!' K9
l,--0/%
X(!<,/Ž
)(†=&(<,>,=
V$8#(898"$8#(<,
c(j6!6/#!' m,ri2,
j2(~$ 3//-0(/<,!!9%!,R3 !($%
K95~$2,47K•l,m,f
XK9%>(<,!(
)w%(<,,K9%(
Vw%(,K9%(<,
c%>(<,!(
j2k~$!' /=6/,$-0(•+/!'b
X5*,,G81*08!'(!-0/•%*-K95!K*K9
)5*,,G81*08!'(!-0/•4lK9
V!'(%#,$2,-!' MK9l,--0/•P8K95Gi
c(#,$2,-!' MK9l,--0/•P%$8†=
j2ln*42m K%!6,,G/*_#,$!' (!,$-0/+*a
X~,G/*_#,$!' %2"&%2<,j$!6/#!'
)~,G/*_#,$!' 0$!!-_-0/
V~,G/*_#,$!' R-,:/*_#!'-2$/
c~,G/*_#,$!' 8989"
j2n~$!' %,,G/*_Y(!-0/‘(/!'D5,,G#*81*
08!'(!-0‘8~A(%’,!'*0#,,G%8
X
γ
I
M
=
)
γ
M
I
=
V
γ
M
I
=
c
γ
I
M
=
j2o~$,>k7^6&K(8,&6%2/+/,$-0l,
/,$=!!9%!)h/,*!-0/!:>#,9-i~,G/*
_#(!-0/8Yt,
H
@|!(-"18>K9!'(=‚!-_
l,bK!-_3:&%($%ω4l
X
g
l
)
g
l
V
g
l
c
g
l
j2g~$ -F - % -0 / l, ( & 4* K_ •& K( 8 , ~$ <K9 s %
K( 8 K9 * K2& ,$ = /7 / -F -& = F 8 -G ,$ !'K( 8 } 4l ,
) <K9 - - -F- )h / , * #-F -! -0
/!:>#,9-iV
,,G/*_#-F-(!-0/8,•
H
@H!(-"18A(#!'K>-"
8
X@| )@H V cH@|
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
?N
j2Di2,to&,$!' 4.=//,$-0(+/!'!(%K95
BN%/,$%HN-;'(%:i#!'i2,tN8
XN-@ )?N-@ VHN-@ c?o-@
j2~$4*+G4.=/=6/,$-0(#%B?oK2‚8O4.=/&
!'(%4lHo-@;'(%#4*+G?NK2‚8O4.=/4l
X?N-@ )Ho-@ V|o-@ c?o-@
j2~$4*+G/!($%Hz-@b4s,)*+G/',=6!(%%$
8H-@
H
Di‚8Os,8O4*+G‚4l
XHz ){ V?H c?‡
j2'
~$ !' / / ,$ -0 ( / !' % " -b 2 $
ϕ
t?o
H
Mϕ_
4l-&_4l<PD($%!%,!'/iN<K2‚i2,to8=88
X?o-@!HN- )N-@!HN-
V?o-@!|N- cN-@!|N-
j2(~$!' //-0(∆*0#,,G81|,)(%#!'%$
84lH-@
H
~,G/*_#!'(!-0/∆8
Xo&ˆK,
H
)?&HK,
H
V?&NK,
H
cH&oK,
H
j2k~$4*+G%,,G/*_(!-0/•(8‡K,
H
:b*0
#,$,,G81|o,(!-0/•)h/,81>B48<&K2‚K4.=/&4*+G
!'(%%$8?oo-@a
X?N )?H V|o cHo
j2lI^"k,,$X)%6
&K(8K9*K2&=X# . 7
2, % K(8 ,! =) # . 7 2, %K( 8 |,~,G/*_#^(
!-0!9%!X)!/-2,#8
X H,
H
) z,
H
V|,
H
c ,
H
j2n~$4-F3l,4*K_o&N,%-0/(3:/<,4~,G
/*_#4(!-0/8HK,
H
)/6!($%H&oN-@biR
“,$!'hK(8o&HK!,f4!!'_R!%)h/,*m-0/!:>#
,9-iD($%#^M4!!'P4l
Xo&HN-@ )?-@ VH&oN-@ cH-@
j2o~$:%6?&o,&K(8K9*K2I=#.72,%
K(88=88HK!|KD/6-,R3/-0(3:/
-2,#!($%?o-@~,G$8#4l
X?H&NK,
H
@ )ˆ&NK,
H
@ V?oK,
H
@ c?N&oK,
H
@
j2g;' :7//-0(∆
?
%,,G$88
?
&,,G/*_(!-0∆
?
8
Y
?
t…K,
H
;' ://-0(∆
H
%,,G$88
H
&,,G/*_(!-0
∆
H
8Y
H
tzK,
H
)$†/#!' -84lDw(
?
H
4l
X
z
…
)
H
|
V
…
z
c
|
H
j2~$!' %,,G/*_(!-0/(8?oK,
H
&/6!!'(%|o
!F@O7 ”
H
t?o Q$†/#!'4l
Xzo• )No• VˆN• cHN•
j2~$!' %,,G/*_(!,$-0/•(+/!'8N?o
]|
K,
H
;'/
6+/-0/∆!!'(%‡oo!F@O7π
H
t?oQ$†/#!'8
XHo•)?o• VH&N• co&N•
j2. Một thanh đồng chất OA, khối lượng M, chiều dài L. Có thể quay quanh một trục O và vuông góc với
thanh. Người ta gắn vào đầu A một chất điểm m =
H
$
thì mômen quán tính của hệ đối với trục quay là :
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
?‡
A. I =
H
?
ML
2
B. I = ML
2
C. I =
|
?
ML
2
D. I =
‡
N
ML
2
j2'~$4*+G/=6‚-*w&?o!'(%Ho-@D-?o%
4*K_#4*+G/,$%
A. –tHoo”- B. –tz- C. –tH”-@ D. –t?oo-
j2( ~$!'$!>=1^O>=Ci%2$-K9
8!'8_8K95M4h/,:>K9K_P
A. ~9,G$8#i(!K(<,#i B. Q$†#i
C. D†#i D. ~9,G/*_#i(!K(<,
j2k ~$81?o*0G"m!#,$4*+G%iK_{o,)*+G
/‚-*w!?&Nb/?!F=~9,G/*_#4*+G8
A. Ytz&NK,
H
B. Yt?&{K,
H
C. Yto&ˆHK,
H
cYto&…‡K,
H
#O3mHI.A
Ap
==>A
h.+q%A
]D9//*-O-K*^,$&$=!K•
])*8'"-b$81#8.8F+!‰"-b$
])R2,$81#$6F881Kf!6w8^'!8$!89
!6!-_<4l
]n*42 !6*8R-#$6FK•&=(&=(
%&4$&&4=
hr.f.#A
)2ƒ$6F4l!f"/
];gk+&!G-$6F
])6K^4=jG*K__$&-X!
ϕ
'+)!"A
==?@A
)HNK.AV*-!g‡?q‡Hq‡|
%m.+A
===BCEFGF<A
EF@s
(&$;&<#=><?>
*4@4#<4ABCD>#4EB><FG&'MN
@
P
+"!#H&<<BI&'<J>#KL
@=_9@\=<
: HI!".#%1 t HI!".#%1 h.+q%%u.!I
A0.++O.+%)%v+).LP[ H!".#w[ H!".#2u.+HO.w%+2vxNOu.m&
?N
V/*2
$#!'R-8.
<&8.8F+3:!
8.8F+l,-^,
K9K_
G H!".#A
+),-
V2$/8/!
-_<4l8$
M-!jK9“P
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
?ˆ
V%,$!-_<4l
V2$/8/
!-_<4l
D;'$
8.<%_=
V2 $ # !' R
-|-i-%`
R2,b(a
V2 $ # !' R%
-8$
;'$8ba
*$8.<
K>i`8=
8<-G/
!',(Gj,$6!
'+f
c $ !' 8
$=
c1!k‡HqsK*
^, ,$ $ =&
K•&=(a
+),./01-
8 $ , ,$
# 2 $
8R88!,s,s
Ah78R
8 8,$$
=,$-b
0.23-
Di21^,$
$=8K•
# $ = C_
^D&"!8MP
4/5-
B( $ = 1
^-?<
—t
?
D
Q"!8I˜
A+JV**+, #/0.+!".#JR%+%%1 NV[ H!".#/H.#%H.JW%JyzH
Ho
I/*!,9>
•t,
n
ur
&
ur
&
•
r
D-%
n
ur
!
ur
<4l&F•t]K+
+tXM
ω
ϕ
P
⇒
+
™
t]
ω
XM
ω
ϕ
P
⇒
+
™™
t]
ω
H
XM
ω
ϕ
P
t]
ω
H
+
⇒
+
™™
H
ω
+to
~9>8.8F+l,
!!gb
V-0S+&K*^,8
$
;"-b8'YY
"a
n<_81*08,a
)5!6"-bM?P
8"-b$81
#$
^,#"-b
M?P! +MP 8 "-b
$
6+, #/0.+!".#JR%+%
%1 NV[ H!".#/H.#%H.
JW%JyzH
67-
;'R%K(8,
M72,P
F+%$:KMK(
84h/P
08"9:;0<=
D$+_‚!-_<4l
88$
n"-b$81#
!'R•t,
~RK*•t]K+881
Kf!681k0
⇒
,t]K+
⇒
+
™™
K
,
+to
QR
H
ω
t
K
,
⇒
+
™™
H
ω
+toM?P
M?Pn"-b$81
#$
'G H!".#!{2+y
^,#M?P8
+tXM
ω
ϕ
PMHP
-%X&
ϕ
8*l(
MHP 8 " -b
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
?{
I+G,*!*42 Is ^, 8 ^, #
"-bM?P4l<V?
Q $6Fa
$
+),#1>0?@"A0
B'C01#0DE
0F0G#,0H
581'),)I.07
'A0P+42%)%!IJ,c.#!|%/,.#%1 [ H!".#!{2+y NON}!~+YzU•
)$$X8*
-1 #8$:!
8OM
ω
ϕ
Pt?
) $ $X89
"
+tXM
ω
ϕ
P4
XqM
ω
ϕ
P
⇒
+
'4>4
+tX
ω
VK•Dt
Hπ
ω
M|P
V8.8F+Dt
,
H
K
π
D=(—t
?
D
t
H
ω
π
MzP
V8.8F+—t
? K
H ,π
I->8iG‰
+tXM
ω
ϕ
PMHP-
%X&
ϕ
8*l("
!X"bX84
$;'X:!*-#
8$!:!8Oa
I‰*!*
-X<,!'+f4$89
%*-a
K*^,$a
4=a;,$4$
sb4$
%2+*!-_#!'
K9M8$#$Pa
K*^,=(%Q"
!a
V8'4>4!
!!gk#$6
F
+tX
ω
!'+f$6F
2$=K9a
VK•&=($6
F!42:K•&=(
8.8F+a
;+tXM
ω
ϕ
Ps!
42:!!'+f!%4
6FK9a
()%!IJ,c.#!|%/,.#
%1 [ H!".#!{2+y
€ X84$$8
*-1 #8$:
!8OM
ω
ϕ
Pt?X89
"
€M
ω
ϕ
P8$
i2,8((#,
!8,$%;,$
4$sb+*
8$#$
€
ϕ
84=8!
i2,4=MtoP
€
ω
8=(%8($
45%Q"!-@
R$@!%8.8F+
k~+YzU•%1 [ H!".#
!{2+y
'4>4!!gk
#$6F
+tX
ω
'+f
c$6F82
$=!Dt
Hπ
ω
l+2vxNOu.m&%1 [ H
!".#!{2+y
VK•Dt
Hπ
ω
M|P
V8.8F+Dt
,
H
K
π
D=(—t
?
D
t
H
ω
π
MzP
V8.8F+—t
? K
H ,π
nV.&%/H.#[ H!".#
!{2+y
!t+
™
t]
ω
XM
ω
ϕ
P
t
ω
XM
ω
ϕ
H
π
P
' +f ! 4 6
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
?…
*-#!m!-_<
4l!m!-_4
;+tXM
ω
ϕ
Ps!
42:!'+f!%4
6FK9a
*-#m !-_<
4l!m!-_4
F!K•jK•+
!8^+,$%
H
π
VOv
š!-_+t
±
Xb!to
š!-_+tob!%$8
14l
ω
XMR]
ω
XP
o &% /H.# [ H !".#
!{2+y
t!
™
t+
™™
t]
ω
H
XM
ω
ϕ
Pt]
ω
H
+
'+fq89-*7!8
$M!8$P
(A@•2[•.[ H!".#!{2+y d‚.#Nƒ%-52 3„)%!Y.+NO
ϕ
[R NOH!{2vL.d .!u2
+t
Sn
tXM
ω
ϕ
P
C8'
I‰42ƒ!G"
S~
uuuur
mi2,4=MtoP&
!%`S+!
S~
uuuur
8
ϕ
42 ƒ !G"
S~
uuuur
mi
2,!%`S+!
S~
uuuur
8M
ω
ϕ
P
p* $ (b
#
S~
uuuur
8-0 S+!
K8'
;g!f"/#$
+tNMo&N
|
π
P
I‰>^"
-bb,X&
ϕ
!`*
K__K*
A,$(-iR
4^
g@•2 [•.[ H !".# !{2
+y d‚.#Nƒ%-52 3
+tXM
ω
ϕ
P
;f"
S~
uuuur
%$8X&
/6/2,S-
, : -0S+ !( $
%
ω
š i 2, 4 =
to&%`S+!
S~
uuuur
8
ϕ
Q$(#b
--0+#
S~
uuuur
42ƒ
$6F_88
$+#$
{2 vL. d . !u2A mR
vS%++S%+[ H!".#
C_ _ $ 4l
*!'R-Kh!-_
< 4l G 6 "
,$+
o
-k>“M!toP
Vto8O>!'%
+t+
&!to
⇒
X +
X o
ϕ =
−ω ϕ =
⇒
X +
o
=
ϕ =
'+fDjG*K_
_K* % X&
ϕ
K*
EFh_…=_<
,M&'>IN45&#<?>MN
@
P
];"-b$&"-b!'(&(-$6F
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
Ho
]pf|8R-X&
ϕ
w
ω
$6F#8.8F+`8
%2%*-K*&j$!*K__$aQ8w%,$*-+*
(!8.8F+sa
])N@|NBAC
O4#KLPQ&<OV*4'F8-BAC
=A…h==†
A@\=6
=X%K2
]D‚"-b$6+*4$&Kb&=(%
]'"-b$6&"-b!'(&(&‚*>#4*
VOvb,4=1!6K^4=
]CކA>*4*">!6$6
==+2‡.dYA
)HNK.A,$(4' ^,!18'
%m.+A98K:!6$6
===./0.+dO[I3A
B.!Y.+Jˆ*A
h4P/ dO%‰A78.8F+&9:_Kba
C8.$6Fb$†!†#8.45/8
'@OPˆA
HI!".#A#edOV*/W%.#+LP
HI!".# HI!".#t "[2.#
€VI8=8*
< ^,?&H&|-
|NK
€D5:$%,&
>8'b,-**
€AIB-b4‚<
€VI8*<
^,K
€D5:$%,&
>8'b,-**
€VI-b4‚<
€IB6‚<&j
>8'-*
*O
€D>8'%,b,-K
/>
€I>_
€D>8'%,b,-K
/>
€I>_
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
H?
HI!".##edOV*RJ2V.N{[ H!".#!{2+HO%1 NV.f.#w%H.JW%JyzH
O4(-~$!'Kf8^Kh
;DV),$‡,>!<
$1!=(%›t”M-P
p*"-b$#
8.!6K^4=
8O!'/;DV)G6
"
48O!'/;DV)G6<,
€I‰>
];"-b5/*#
$
]DXt‡,
];'06K^4=>b,
-–
@OA $,7)?J"K
0L)MN)/."OE7
)?JP0.DQ),)/.'?G
0KRB205?J#
N7B),M2S
T#UV"F20WX4Y
0K>0?@0L)M0?G
.5#,)C#N".DI
0 B 5
310
π
;#T=0K>0?@0L)M
0?GO08B1Z
0[N5C),1X4YN
'?@0?G.5
X\]4+^
_)`00F)Q#
)a.`"#17b
#/0M0c
d?@'e80I
011#.
€IB
€Q6%,.4*
€IB>8'>4*
€IB
€Q6%,.4*
€IB>8'>4*
e
n"-b5/*+tXM›–P
+t‡M”–P
to&+to&!xo
+t‡–to
!t]‡”–xo
–to
–yo
tx–t]”@H
;'-b+t‡M”Š”@HP,
4to&+to&!yo
+t‡–t‡
!t]‡–yo
–to
–xo
tx–t”@H
;'-b+t‡M””@HP,
e
•D!-_<4lSbK∆8t,
⇒∆8t
0,04
25
0,1.10
k
mg
==
M,P
ωt
π===
5105
1,0
25
m
k
M•@P
,$6*!"-b
+tXMωϕP
to+tH,xo
!t?oπM,@Pyo
D%HtXϕ→Vϕxo
]?oπt]NπXϕ→Bϕxo
txϕt?@
|
⇒ϕt”@|M•P→Xt
zM,P
;'nDcQ+tzMNπPM,P
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
HH
∆8
8
o
oM;DV)PP
+
]∆8
œ
œ
œ
∆8
8
o
o;X4Y=
+
∆
œ
œ
œ
⇔
⇔
⇔
⇔
3
3
‡
N
π
(1.#%&[|.[yA!68,4'-*4'
kZv.+.#+LPA
#O3mHI.A
A'p(
==>A
h.+q%A
])*8'"-b$81#8."&%K*^,!68.!'8_
];`9:!68.!!'0-*4*">
]V#(K:!6$6Fs-4-!R8-4
hr.f.#A
;'0-*4*">
]A>_*^1%8/4
'+)!"A
==?@A
)HNK.AD-!gBACV8."M=OP&,$8.!'8_IB/*-8
]V8.!'8_M3P4l4bR4l7,rD-,R%*7K(<,A
!K>*SA‚-0/K(<,
%m.+A ]J8K*^,!'(!(-2$-F&,,G/*_&,,G
#81(!,$-0n"-b2$#!' //,$-0
===BCEFGF<A
EF@s
(&$;&<#=><?>MH
@
P
*R4SC#TUVO4>WM{
@
P
?;"-b$8.8F+&"-b!'(!"-b(+f
!*-#!&m*!-_R4^Mm!-_<4l&m4P
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
H|
HQ6K^81*08!'2!'$6Fa
|)2ƒ$6F4l!f"/a
+"!#H&<<BI&'<J>#KL
@=_9@\=<
: HI!".#%1 t HI!".#%1 h.+q%%u.!I
A„j3[R.#*+, #/0.+!".#JR%+%%1 %H.JW%!
|o
?N
V8. " k, ,$ !'
R % K_ h& %
K(8,&-Gm=,$
< ,6, K9 s %
68!%K(8
K9*K2
€c$
c$6F
D-81
]
ur
!81†<
%
ur
] D =
n
ur
&
%
ur
!9
% ! / K9
8,8, 5($#
!'
] D = !
/ 8,5($#
!'M%KKf!'
!6!-_<4lSP81Kf
!6
−nαt,
−,αt,™™
™™
o
=
QRω
H
t
⇒
™™ω
H
to
tXMωϕP
αtα
MωϕP
Q(!8."$
h%2j8$% α
Rj8$tα
K2vJ2V.Um#v•
Dt
H
H
π
π
ω
=
*!,9>8."
b!gˆ?
V8."8ba
;'R2$
M,9>2$Pa
~( : h !' R
$ 6 F > 8'
"-b$81
V 8. * 0 #
`81a'+f
=#81K98,5
($#!'!=#
81 K9 8, 5 ($
#!'a
V6"6S
X % ^ : t α ;
" -b 2 $ #
!'a
;α≤?o
bα≈αt
"18.8F+Is!
"-b$81
$ # 8. "M"
-b!<Pa
D"14^,#
"-bM|Pa
€^,"-b%8^
%a
C8'$#8.
"
v !'8v#‚
H.JW%! AV8."
k,
;'R%K(8,
M72,P
B<,6,K9s%
68 !%K(8
K9*K2
6+, #/0.+!".#JR%+%
df'9O
−D-81
]
ur
−n>81
%
ur
#<
d]0?@"A00.DQ),
MG8'YY"P
] % #+ =
ur ur r
M?P
V M?P 8 -0 S+
!/Ž&%
−nαt,
t™™
⇒
−,αt,™™
!α≤?o
bα≈αt
⇒
™™
o
=
MHP
nMHP8$81
$#8."
!%8^αh
QRω
H
t
⇒
™™ω
H
to M|P
' #+LP%1 *+, #/0.+
!".#JR%+%%1 %H.JW%!
n"-b™™ω
H
to%
^, 8 " -b
$#8."
tXMωϕP
αtα
MωϕP
c$#8."!
%8^h8$6
F/!-_<4l!
8
ω =
+2vx−u.m&
d0.23
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
Hz
—t
? ?
H
4
π
=
8-9:-a
VK•$#8.
"a
D=($#8.
"a
€ ω& D!—%0$K(
8#!'RK9a
Dt
H
H
π
π
ω
=
d4/
—t
? ?
H
4
π
=
A+V.d%H.JW%NVJŠN!,c%*+, #/0.+[ H!".#wu.m&NO%+2vx%1 %H.JW%NVJŠ
?N
*b!gˆ|,9>
8.!'8v
pG,*!*42
;'R-8."
+G,872,
V 8. " +G, 8
72,!t&Yt,
H
D!ωt
,
Y
t
8
QDD‚9:D-
~9>8.!'8va
p* - <, A& -0
/&%8^αa
" -b $&
9:=(%&K•a
B*K*#8.
!'8v!8."
V<V?a
pG, * = : ,
8.!'8v$6F
*4l*j
8.!'8va
(H.JW%NVJŠ
V8.!'8v8,$!'
//,$-0l,
(
n"-b$
αtα
MωϕP
D-%
]D=(%ωt
#'
,K(8!'
Y,,G/*_(!
-0/
K>*‚-<,
-0/A
]VK•Dt
Hπ
ω
t
Y
H
,
π
•0
]Q(--i
'A0.++O.+%)%v+).LP+L[ H!".#w[ H!".#R[Hwu.m&#$%/K.#
?o Q*!GŒ->8i
;_0!6^$
]V8.8F+k,R
.!7B)/.5)`0
]V8."k, R
j!")c8,$^
$
;_0!6$8.8F
+&8."M8.!'8vP
s+fm-8$1
A!*K*^,!
,
I^$8ba
D8$1a
D8=(%-a
;9:=(-#
8.8F+!8."a
kL[ H!".#A
I^$k, '
),j!'9f
2VI M81k0P<
$
c$#^+>-
*0w#$818
$1
~$!'^$1
G ,$ = ( % +*
8=(%-#
!'^7
]V8.8F+ωt
2
#
]V8."!-*7ωt
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]+p+]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
HN