Symmetrically Continuous Functions

Symmetrically Continuous Functions - WVU Math Department

5)44i|hU@**) L?|?Lt 6?U|L?t
@hU? 53)t3!Lt!
#ttih|@|L? tM4||i_ |L |i
L**i}i Lu h|t @?_ 5Ui?Uit
@| `it| Vh}?@ N?iht|)
W? T@h|@* u***4i?| Lu |i +i^hi4i?|t uLh
Ai _i}hii Lu
#LU|Lh Lu *LtLT)
?
@|i4@|Ut
ht k iti*t!c #c @h
O@hi) #@4L?_c #
aL? w||*i|L?c #
5@4 @_*ihc #
aih3) `LUiULt!c #
a@?t3 @*!Lt!c #
#iT@|h4i?| Lu @|i4@|Ut
Lh}@?|L?c `it| Vh}?@ 2fff
ki)Lh_tG L?|?|)c 5)44i|hU L?|?|)c i@th@M*|)
5A+A
5)44i|hU@**) L?|?Lt 6?U|L?t
@hU? 53)t3!Lt!
At Lh! t _iL|i_ i?|hi*) |L t)44i|hU UL?|?|) @?_ UL?tt|t Lu i U@T|iht
@T|ih t @? ?|hL_U|L? @T|ih 2c M@ti_ L? |i T@Tih d532oc t |i 4@? T@h| Lu
|t Lh! W? |t U@T|ih i }i?ih@*3i U*@ttU |iLhi4t L? u?U|L?t _i?i_ L? |i
?|ih@*t |L u?U|L?t _i?i_ L? @hM|h@h) tMti|t Lu |i hi@* *?i @T|ih _i@*t
| @ i@!ih UL?_|L? |i? t)44i|hU UL?|?|) Q i@! t)44i|hU UL?|?|)
W| t @? i |i?_i_ ihtL? Lu 4) T@Tih d53o @T|ih e t M@ti_ L? |i T@Tih d53o
Oihi | t tL? |@| t)44i|hU@**) UL?|?Lt u?U|L?tc @*|L} Mi?} RU*Lti |L
UL?|?Lt u?U|L?tc 4@) ?L| Mi ?Ui ? tL4i ti?ti Ai *@t| U@T|ih t @ML| |i
t)44i|hU _ih@|i @?_ hi*@|it M@U! |L |i @T|ih 2
L?|i?|t
W?|hL_U|L?
2 6?U|L?t L? tMti|t Lu +
2 @T|ih Lihi 22 L?|?|) Lu t)44i|hU@**) UL?|?Lt u?U|L?t 2 hLLu Lu |i 4@? hit*| 2e , |i?tL?t Lu UL?|?Lt @?_ t)44i|hU@**) UL?|?Lt u?U|L?t

Ai |iLh) Lu t)44i|hU @?_ t)44i|hU@**) UL?|?Lt u?U|L?t _@|it M@U! |L |i
Mi}???} Lu |i?|i| Ui?|h) 6ht| TM*U@|L?t @ML| t)44i|hU@**) UL?|?Lt
u?U|L?t @TTi@hi_ ? |i bf<t 5?Ui |i?c ? iih) _iU@_i i @i tii? tL4i
T@Tiht @ML| |t |LTU +iUi?|*)c ? |i bHf<t @?_ i@h*) bbf<t i @i |?itti_
@ T@h|U*@h ?|ihit| ? t)44i|hU UL?|?|) Ai |iLh) t|i4t uhL4 |i |iLh) Lu
|h}L?L4i|hU tihit @?_c @t t t@**) |i U@tic iL*i_ ?|L @ tiT@h@|i Mh@?U Lu
4@|i4@|Ut W| ?iihc Liihc MhL!i |t |it |L |h}L?L4i|hU tihit iLT*i U@**
|i |iLh) t)44i|hU @?@*)tt @u|ih wii w@htL? dwo
** u?U|L?t ? Lh Lh! @hi _i?i_ L? tMti|t Lu +c |i hi@* *?ic @?_ @i
@*it ? + Ai Ui?|h@* ?L|L? t _i?i_ @t uL**Lt
#i?|L? u?U|L? s G + $ + t t)44i|hU@**) UL?|?Lt @| @ TL?| % u
;0:f <B:f ; B ms E% n sE% m 0

OA,+ WA+#NAW
2
Lhc i^@*i?|*)c
*4 ds E% n s E% o ' f
<
f
Wu |i u?U|L? t ?L| t)44i|hU@**) UL?|?Lt @| @ TL?|c i ** t@) | t t)44i|
hU@**) _tUL?|?Lt |ihi
UL?}i?@* ?L|L? t t)44i|h) U t@)t |@|
*4 ds E% n n s E% 2s E%o ' f
<
f
L| ThLTih|it @i Mii? _iiT*) t|_i_ @?_ ih) Lu|i? |ihi t @? @?@*L}) Mi|ii?
|i4 OLiihc i ** UL??i Lhti*it L?*) |L |i ht| ?L|L?
MLt*) Lh_?@h) UL?|?|) 4T*it t)44i|hU UL?|?|)c M| ?L| |i L|ih
@) @hL?_ wi| t }i tL4i t4T*i i @4T*it Ai _tUL?|?Lt u?U|L? s E% ' f
uLh % 9' f @?_ s Ef ' t t)44i|hU@**) UL?|?Lt iih)ihi Ai u?U|L?
ULt % Eihi i T| @?) @*i @| % ' f t t)44i|hU@**) UL?|?Lt iih)ihi
E?U*_?} f M| t? % t ?L| t)44i|hU@**) UL?|?Lt @| f
`i ** Lu|i? |*3i @h@|L?t Lu |i uL**L?} i @4T*i
, @4T*i 2 wi| C + Mi @? @__|i }hLT @?_ s ' C G + $ ifc j Mi |i
U@h@U|iht|U u?U|L? Lu C Ai? s t t)44i|hU@**) UL?|?Lt L? C
W?_ii_ u @ 5 C |i? uLh @?) TL?| r ' @ n |t t)44i|hU hiiU|L? @ML| @ t
@ ' 2@r @?_ | Mi*L?}t |L C u @?_ L?*) u r _Lit |t_i Cc s t t)44i|hU@**)
UL?|?Lt L?*) @| TL?|t @ uLh U 2@ 5 C W? T@h|U*@h u C t _tM*i M) 2
|i? s t t)44i|hU@**) _tUL?|?Lt iih)ihi L|t_i C
@T|ih 2
6?U|L?t L? tMti|t Lu +
2
@T|ih Lihi
At U@T|ih t M@ti_ L? 4) T@Tih d532o @?_ t __i_ ?|L uLh tiU|L?t W? 5iU|L?
22 i t|@|i |i 4@? hit*|t @ML| UL?|?|) Lu t)44i|hU@**) UL?|?Lt u?U|L?t
5iU|L? 2 UL?tt|t L?*) Lu |i ThLLut Lu |iLhi4t uhL4 5iU|L? 22 W? 5iU|L? 2e i
?it|}@|i |i i |i?tL? ThLTih|it Lu t)44i|hU@**) UL?|?Lt u?U|L?t |L M}}ih
_L4@?t
h ?L|@|L? t t|@?_@h_ @?_ uL**Lt d2o @?_ dA2o ) @? ?|ih@* i @*@)t
4i@? @ ?L?|h@* ?|ih@* Eic UL?|@??} 4Lhi |@? L?i TL?| 6Lh _gihi?| @c K 5
+ i h|i d@c Ko uLh |i ?|ih@* d4?E@c Kc 4@ E@c Ko Eic dc 2o ' d2c o
t t@_ ? |i ?|hL_U|L? |i t|_) Lu t)44i|hU @?_ t)44i|hU@**) UL?|?Lt
u?U|L?t t|i4t uhL4 |i |iLh) Lu |h}L?L4i|hU tihit W? |i |iLh) Lu |h}L?L4i|
hU tihit i t|_) u?U|L?t _i?i_ L? @hLt tMti|t Lu + Lh +? c *i t)44i|h
U@**) UL?|?Lt u?U|L?t @i Mii? t|_i_ tL u@h L?*) L? |i L*i hi@* *?i Lh L?
?|ih@*t W? |t U@T|ih i i @4?i M@tU ThLTih|it Lu t)44i|hU@**) UL?|?Lt
u?U|L?t _i?i_ L? @hM|h@h) tMti|t Lu + W? T@h|U*@h i ** UL4T@hi |iti
OA,+ 2 6NAW5 5N5,A5 6 +
e
ThLTih|it | |Lti TLttitti_ M) t)44i|hU@**) UL?|?Lt u?U|L?t _i?i_ L?
|i L*i hi@* *?i #L?} tL i }i?ih@*3i AiLhi4t 22 @?_ 22
`i _i?i t)44i|hU@* UL?|?|) uLh @ u?U|L? | @ _L4@? Mi?} @? @hM|h@h)
tMti| Lu |i hi@*t ? |i uL**L?} @)
#i?|L? 2 wi| + u?U|L? s G $ + t t@_ |L Mi t)44i|hU@**)
UL?|?Lt @| @ TL?| % u
;0:f <B:f ; B % 5 , ms E% n sE% m 0

Wu s t t)44i|hU@**) UL?|?Lt @| iih) TL?| Lu |i? i t@) |@| s t t)44i|
hU@**) UL?|?Lt L? Lh t4T*) t)44i|hU@**) UL?|?Lt
iU@ti Lu |i 4T*U@|L? @MLi | t TLttM*i E@?_ ? u@U| i ** Lu|i? UL?t_ih
tU t|@|L? |@| s t t)44i|hU@**) UL?|?Lt @| % L?*) MiU@ti uLh iih) %n 5
|i ?4Mih % t ?L| ? Wu |t @TTi?t |i? i t@) |@| s t @ULt*)
t)44i|hU@**) UL?|?Lt @| |t TL?| +i^h?} @__|L?@**) ? #i?|L? 2
|@| |i u?U|L? t _i?i_ L? @ t)44i|hU _L4@? L*_ ?L| 4ThLi Lh hit*|tc
@t , @4T*it 22f @?_ 22 tL Atc UL?t_ih?} L?*) t)44i|hU _L4@?t
L*_ L?*) ?@hhL Lh 4@? hit*|tc t?Ui AiLhi4 22. @t i** @t LhL**@hit 22H
@?_ 22b @hi LM|@?i_ |L| hit|hU|L?t Lu t)44i|h) L? _L4@?t
AL **t|h@|i |i ?i ?L|L? *i| t }i @ t4T*i i @4T*i
, @4T*i 22 wi| C @?_ C2 Mi @__|i tM}hLTt Lu + | C _ C2 ' ifj @?_
*i| s ' C G C ^ C2 $ ifc j Ai? s t t)44i|hU@**) UL?|?Lt L? |t _L4@?
at| *!i ? , @4T*i 2 uLh @?) @ 5 C c ' c 2c @?_ r 5 +c i @i r 5 C u @?_
L?*) u 2@ r 5 C 5L s t t)44i|hU@**) UL?|?Lt @| @ wi| t ?L|i |i UL?|h@t|
OA,+ 2 6NAW5 5N5,A5 6 +
D
|L , @4T*i 2c ihi |i u?U|L? s @t t)44i|hU@**) _tUL?|?Lt ? TL?|t
L|t_i s 3 E
L|i |@| i _L ?L| ?ii_ u?U|L? s |L Mi _i?i_ @| @ TL?| % |L |@*! @ML|
t)44i|hU UL?|?|) @| % OLiih i ** UL?Ui?|h@|i L?*) L? |i TL?|t uhL4 |i
_L4@? Ei UiT| ? AiLhi4 2
Nt?} u?U|L?t _i?i_ L? _L4@?t t4@**ih |@? + i 4@) @__hitt @? L*_ ThLM
*i4 Lu @hUt |L U@h@U|ih3i |i ti| Lu TL?|t @| U @ u?U|L? s G + $ + 4@)
Mi t)44i|hU@**) UL?|?Lt `|L| tL*?} |t ThLM*i4 i t|@|i |i uL**L?}
|iLhi4
AiLhi4 2 6Lh @?) ti| + |ihi t @ ti| f + @?_ @ u?U|L? sG f $
ifc j |@| t t)44i|hU@**) UL?|?Lt E@ULt*) @| % 5 + E?L| ?iUitt@h*) ? f
u @?_ L?*) u % 5 At |iLhi4 uL**Lt 44i_@|i*) uhL4 wi44@ . Ewi| f Mi @t ? wi44@ .
V
uLh |i ti| +q @?_ sG f $ + Mi |i U@h@U|iht|U u?U|L? Lu @*M i@n@? G ? /j
Ai? s t t)44i|hU@**) UL?|?Lt E@ULt*) @| % 5 + u @?_ L?*) u % 5 ì t44@h3i |i ThLTih|it Lu t)44i|hU@**) UL?|?Lt u?U|L?t _i?i_ L?
tMti|t Lu + ? |i U@h| Mi*L ì @tt4i ihi |@| |i u?U|L? s G $ +
t t)44i|hU@**) UL?|?Lt Ai ThLTih|) Rs t i |i?_@M*i 4i@?t |@| s @t @
t)44i|hU@**) UL?|?Lt i |i?tL?c @?_ Rs t @*4Lt| i |i?_@M*i 4i@?t |@| |ihi
t @ t)44i|hU@**) UL?|?Lt u?U|L? 8 _i?i_ L? @ ti| UL?|@??} tU |@|
i% 5 G s E% 9' 8 E%j @t 4i@thi 3ihL Ai ThLTih|) Rs U@? Mi i |i?_i_ ?_U@|it
|@| |ihi t @? i |i?tL? Lu s U hi4@?t t)44i|hU@**) UL?|?Lt @| iih) TL?|
Lu OA,+ 2 6NAW5 5N5,A5 6 +
S
Ai t)4ML* Rn 4i@?t |@| |i u?U|L? s @t |i ThLTih|) ? |i *iu| UL*4?c
R 4i@?t |@| | _Lit ?L| @h!t RE hiuih |L tLh| i T*@?@|L?t Mi*L |i |@M*i
ì @*tL ?U*_i_ hiuihi?Uit |L @TThLTh@|i i @4T*it @?_ |iLhi4t uLh u@t| hiuihi?Ui
#L4@? t G $
+
& s t G &
4i@th@M*i Lh @t A4 222
|i @hi ThLTih|)
n
UL?|?Lt @*4Lt| Lh 22S
iih)ihi L? n
@?) ti|
4i@th@M*i Lh
| |i @hi
ThLTih|)
t)44i|hU
E
, 22
E
, 22
Lh 22H : 22b
n
Lh 22H : 22b
n
E
Ec , 22
, 22
, 22
, 22
i |i?_@M*i |L +
%
i |i?_@M*i |L @
4i@th@M*i ti| Lh
@ ti| | |i
@hi ThLTih|)
%
%
@*4Lt| i |i?_@M*i
E
E
, 22
|L +
%
@*4Lt| i |i?_@M*i
E
Lh 22H : 22b
, 22
|L @ hit_@* ti|
%
n
i |i?tL?t Thitih?} L?*) Lh}?@* TL?|t Lu t)44i|hU UL?|?|)
U@? Mi i |i?_i_
A4 2e2
, 22
E
|L +
%
n
U@? Mi i |i?_i_
A4 2e2
, 22
E
|L @ hit_@* ti|
%
n
U@? Mi @*4Lt|
6@U| 2e
E
i |i?_i_ |L +
%
q
n
n
E u?U|L? s uhL4 + |L + t 4i@th@M*i ELh @t |i @hi ThLTih|) u s t
|i hit|hU|L? Lu tL4i 4i@th@M*i 8 G + $ + E@?} |i @hi ThLTih|) |L
|i ti| At t |i t@4i @t t@)?} |@| |i Thi4@}it ?_ih s Lu LTi? ti|t
@hi ?|ihtiU|L?t Lu 4i@th@M*i ti|t Eti|t | |i @hi ThLTih|) | t
OA,+ 2 6NAW5 5N5,A5 6 +
.
@? i @4T*i ihi |@!i |i u?U|L? s uhL4 , @4T*i 22 ihi C @?_ C2 @hi
Lu |i u** L|ih 4i@thi E?Lihi 4i@}ih Ai? s t ?L?4i@th@M*i E_Lit
?L| @i |i @hi ThLTih|)
E Ai u?U|L? Ef " L? + q ifj t @? i @4T*i ihi
c
E A@!i s @t ? , @4T*i 22 | C @?_ C2 ?Lihi 4i@}ih @?_ Lu |i u**
L|ih 4i@thi
E , |i?_ s T||?} f L? + q 22
L?|?|) Lu t)44i|hU@**) UL?|?Lt u?U
|L?t
W| t @*@)t @ u?_@4i?|@* ît|L? L tL4i L|ih |)Ti Lu UL?|?|) t hi*@|i_ |L
|i Lh_?@h) UL?|?|) *|L} t)44i|hU UL?|?|) t i@!ih |@? UL?|?|)c
t)44i|hU@**) UL?|?Lt u?U|L?t L? R?Ui _L4@?t 4t| Mi UL?|?Lt @| 4@?)
TL?|t W? |t tiU|L? i @hi }L?} |L ?it|}@|i |i ti| Lu TL?|t Lu UL?|?|)
Lu t)44i|hU@**) UL?|?Lt u?U|L?t _i?i_ L? @hM|h@h) tMti|t Lu + h 4@?
hit*|t ihi @hi AiLhi4 22. @?_ LhL**@hit 22H @?_ 22bc U @hi t|hi?}|
i??}t Lu i@h*ih !?L? |iLhi4tc ^L|i_ Mi*Lc uLh u?U|L?t uhL4 + |L + Ai
ThLLut @i Mii? tu|i_ |L |i ?i | tiU|L? @t |i) @hi *L?} @?_ |iU?U@*
Ai ht| hit*| |@| i t|@|i @t TM*ti_ M) 5|i? @?_ ~)}4?_ ? bSf
AiLhi4 22 E5|i?c ~)}4?_ d5~o Wu s G + $ + t t)44i|hU@**) UL?|?Lt
@?_ 4i@th@M*i |i? | t UL?|?Lt iih)ihi i UiT| L? @ ti| Lu 4i@thi 3ihL @?_
ht| U@|i}Lh)
OA,+ 2 6NAW5 5N5,A5 6 +
H
w@|ih L? it? @?_ hitt tLi_ |@| |i 4i@th@M*|) @tt4T|L? 4@) Mi _hLTTi_
AiLhi4 222 Eit? dioc hitt dho Wu s G + $ + t t)44i|hU@**) UL?|?Lt
|i? s t 4i@th@M*i
5L |i LMLt ULhL**@h) t@)t |@| t)44i|hU UL?|?|) 4T*it UL?|?|) @*4Lt|
iih)ihi E? |i ti?ti Lu 4i@thi @?_ U@|i}Lh)
4Lhi }i?ih@* uLh4*@|L? ? |i U@|i}Lh) ti?ti Lu |t ULhL**@h) t @? L*_ |i
Lhi4 Lu 6hi_ uhL4 b. EU tit @ 4i|L_ Lu @h3)
?t!
AiLhi4 22 E6hi_ d6ho wi| sG + $ + Mi t)44i|hU@**) UL?|?Lt L? @ hit_
@* ti| Ai? s t UL?|?Lt @| iih) TL?| i UiT| L? @ ti| Lu |i ht| U@|i}Lh)
5|i? @?_ ~)}4?_ @_ @*tL @ t|hL?}ih hit*| t@)?} |@| 4i@th@M*|) @?_ t)4
4i|hU UL?|?|) L?*) L? @ 4i@th@M*i ti| @*tL 4T*it UL?|?|) @*4Lt| iih)ihi
L? |@| ti|
AiLhi4 22e E5|i?c ~)}4?_ d5~o Wu s G + $ + t 4i@th@M*i @?_ t)44i|h
U@**) UL?|?Lt L? @ 4i@th@M*i ti| . + |i? s t UL?|?Lt @*4Lt| iih)ihi
E? |i ti?ti Lu 4i@thi L? .
?i 4@) ttTiU| |@| ihic @t MiuLhic |i 4i@th@M*|) @tt4T|L? t ?L| ?iUitt@h)
W?_ii_ |t t |i U@ti W| uL**Lt uhL4 |i uL**L?} |iLhi4 Lu i*?@ uhL4 bH
AiLhi4 22D Ei*?@ dio wi| sG + $ + Mi @? @hM|h@h) u?U|L? Ai? |i
ti| Lu TL?|t @| U s t t)44i|hU@**) UL?|?Lt M| ?L| UL?|?Lt @t ??ih
4i@thi 3ihL @?_ UL?|@?t ?L tiUL?_ U@|i}Lh) ti| @?} |i @hi ThLTih|)
5?Ui uLh iih) u?U|L? uhL4 + $ + |i ti| Lu TL?|t Lu UL?|?|) t @ CB ti|c U
t ML| 4i@th@M*i @?_ @t |i @hi ThLTih|)c i @i |i uL**L?} ULhL**@h)
OA,+ 2 6NAW5 5N5,A5 6 +
b
LhL**@h) 22S Ei*?@ dio wi| sG + $ + Mi t)44i|hU@**) UL?|?Lt L? @ ti|
. U t 4i@th@M*i E@t |i @hi ThLTih|) Ai? s t UL?|?Lt @| @*4Lt|
iih) TL?| Lu . EL? @ hit_@* tMti| Lu .
W? |i ULhL**@h) @MLi |i u?U|L? s 4@) Lu ULhti u@* |L Mi ii? 4i@th@M*i
L? |i ti| + q . At h@tit @ ît|L? i|ih i ?ii_ @| @** |i @tt4T|L?
|@| |i u?U|L? t _i?i_ L? |i ti| + q . Ai @?tih t ?L| LMLt t?Ui |i
ThLLut Lu @** |i |iLhi4t 4i?|L?i_ @MLi ti i@*) |i u@U| |@| |i u?U|L? t
_i?i_ iih)ihi L? + OLiihc | t ?_ii_ i?L} |@| |i u?U|L? s t _i?i_
L?*) L? |i ti| . W| uL**Lt uhL4 |i ?i | |iLhi4c U U@? Mi hi}@h_i_ @t @
t|hi?}|i??} Lu i*?@<t hit*| EAiLhi4 22D
AiLhi4 22. wi| s G $ +c ihi t @? @hM|h@h) tMti| Lu + Ai? |i ti|
Lu TL?|t @| U s t t)44i|hU@**) UL?|?Lt M| ?L| UL?|?Lt @t |i ??ih
4i@thi 3ihL @?_ UL?|@?t ?L tiUL?_ U@|i}Lh) ti| @?} |i @hi ThLTih|)
AL ULhL**@hit Mi*L @hi @*tL t|hi?}i??}t Lu LhL**@h) 22S
LhL**@h) 22H wi| . + Mi 4i@th@M*i @?_ sG . $ + Mi t)44i|hU@**) UL?|?
Lt Ai? s t UL?|?Lt @*4Lt| iih)ihi L? .
LhL**@h) 22b wi| . + @i |i @hi ThLTih|) @?_ s G . $ + Mi t)44i|hU@**)
UL?|?Lt Ai? s t UL?|?Lt @| iih) TL?| Lu . i UiT| L? @ 4i@}ih ti|
W? |iti ULhL**@hit |i @tt4T|L? |@| . t 4i@th@M*i E@t |i @hi ThLTih|)
U@??L| Mi _hLTTi_c @t , @4T*i 22 tLt W| t i?L} |L |@!i }hLTt C @?_ C2
|L Mi _i?ti @?_ @| *i@t| L?i Lu |i4 Lu TLt|i L|ih 4i@thi Ai? s ' C mC C2
t t)44i|hU@**) UL?|?Lt L? |t _L4@? M| _tUL?|?Lt iih)ihi
OA,+ 2 6NAW5 5N5,A5 6 +
f
Ai ti| C ^ C2 t Lu ULhti ?L| t)44i|hU i*L i Thiti?| |L 4U t|hL?}ih
i @4T*it | t)44i|hU _L4@?tc ihi @ ti| + t t)44i|hU u
;%M ; % n 5 +, % 5 6Lh i @4T*i iih) @__|i tM}hLT Lu + t t)44i|hU
, @4T*i 22f wi| '
q&
r
? G & 5 ~c ? 5 / @?_ s G $ ifc j Mi _i?i_ M)
# $
s
&
?
'
f

i? ! t ii?
i? ! t L__
Ai? s t t)44i|hU@**) UL?|?Lt @?_ t t)44i|hU )i| s t _tUL?|?Lt i
ih)ihi L? |t _L4@?
hLLu Ai _L4@? t @ }hLT tL t LMLt*) t)44i|hU W| t 44i_@|i |@|
, Thitihit |i T@h|) Lu
|i t)44i|hU hiiU|L? Lu @?) TL?| &? @ML| @ TL?| 6
, & ' 2,? 3&6 5?Ui ML| s 3 Ef @?_ s 3 E @hi _i?tic s t
|i ?4ih@|LhG 2 6
?
6n?
_tUL?|?Lt iih)ihi
, @4T*i 22 wi| M Mi @ O@4i* M@ti UL?|@??} @?_ *i| 7 Mi @ *?i@h tT@Ui
Lih " tT@??i_ M) M q ij #i?i ' i% n &G % 5 7c & 5 ~j @?_ sG $ ifc j M)
s E% n & '
f

i? & t ii?
i? & t L__
Ai? s t t)44i|hU@**) UL?|?Lt L? c t t)44i|hUc @?_ )i| s t _tUL?|?Lt
iih)ihi L? hLLu at| *!i ? |i ThiLt i @4T*i t @ }hLTc |t t)44i|hUc @?_ s t
t)44i|hU@**) UL?|?Lt Ei Thitihi |i T@h|) Lu & ? hiiU|L?t
, @4T*i 22 @t 4@?) 4Lhi ?|ihit|?} ThLTih|it @?_ i ** hiuih |L | 4@?)
|4it
OA,+ 2 6NAW5 5N5,A5 6 +
2

hLLu Lu |i 4@? hit*|
ì }i |i ThLLu Lu AiLhi4 22. AiLhi4t 2D @?_ 2S @hi |iU?U@* @?_
*i?}|)c M| |i? |i ThLLu Lu AiLhi4 22. t tLh| @?_ i@t)
ì ?|hL_Ui |L tiu* E|L} |iU?U@* _i?|L?t
#i?|L? 2 t)44i|hU ULih hi*@|L? L? @ ti| . + t @ u@4*) T Lu U*Lti_
?|ih@*t d@c Ko tU |@|
@nK
2
5 .
#i?|L? 22 Wu T t @ t)44i|hU ULih hi*@|L? L? . + |i? T D t @ u@4*)
Lu U*Lti_ ?|ih@*t d@c Ko tU |@| |ihi t @ tiî?Ui Lu TL?|t @ ' %f c % c c %D ' K
tU |@| ?|ih@*t d% c %n o Mi*L?} |L T uLh ' fc c 2c c e ì U@** |i TL?|t
% c c %e |i ?|ih4i_@|i i?_TL?|t
Nih ? dNo ThLi_ |i uL**L?} |iLhi4t EU @i Mii? hiuLh4*@|i_ M) AL4
tL?c @?_ i }i ihi AL4tL?<t ihtL?t
AiLhi4 2 ENih dA2c |4 2Do wi| . + @i |i @hi ThLTih|) @?_
tTTLti T t @ t)44i|hU ULih hi*@|L? L? . @?} |i ThLTih|) |@| uLh iih)
% 5 . |ihi t @ TLt|i ?4Mih BE% tL |@| uLh iih) | 5 +
f | BE% , d% |c % n |o 5 T
Ai? |ihi t @? LTi? ti| C tU |@| . q C t Lu |i ht| U@|i}Lh) @?_ iih) ?|ih@*
d% |c % n |o UL?|@?i_ ? B Mi*L?}t |L T D AiLhi4 2e ENih dA2c |4 2So wi| . + Mi 4i@th@M*i @?_ tTTLti T t
@ t)44i|hU ULih hi*@|L? L? . @?} |i ThLTih|) |@| uLh iih) % 5 . |ihi t @
OA,+ 2 6NAW5 5N5,A5 6 +
2
TLt|i ?4Mih BE% tL |@| uLh iih) | 5 +
f | BE% , d% |c % n |o 5 T
Ai?c uLh @*4Lt| @** TL?|t % 5 . E? |i ti?ti Lu 4i@thic |ihi t @ ?i}MLhLL_
L% Lu % tU |@| uLh i@U % n | 5 L% |i ?|ih@* d%c % n |o Mi*L?}t |L T D ì ** ThLi |L |iLhi4t |@| @hi t|hi?}|i?i_ ihtL?t Lu Nih |iLhi4t
AiLhi4 2D wi| . + @i |i @hi ThLTih|) @?_ tTTLti T t @ t)44i|hU
ULih hi*@|L? L? . @?} |i ThLTih|) |@| uLh iih) % 5 . |ihi t @ TLt|i
?4Mih BE% tL |@| uLh iih) | 5 +
f | BE% , d% |c % n |o 5 T
Ai? |ihi t @? LTi? ti| C tU |@| . q C t Lu |i ht| U@|i}Lh) @?_ iih) ?|ih@*
d% |c % n |o UL?|@?i_ ? C t ? T D LhiLihc |i ?|ih4i_@|i i?_TL?|t 4@) Mi
ULti? uhL4 |i ti| .
AiLhi4 2S wi| . + Mi 4i@th@M*i @?_ tTTLti T t @ t)44i|hU ULih
hi*@|L? L? . @?} |i ThLTih|) |@| uLh iih) % 5 . |ihi t @ TLt|i ?4Mih
BE% tL |@| uLh iih) | 5 +
f | BE% , d% |c % n |o 5 T
Ai?c uLh @*4Lt| @** TL?|t % 5 . E? |i ti?ti Lu 4i@thic |ihi t @ ?i}MLhLL_
L% Lu % tU |@| i?iih % n | 5 L% |i? |i ?|ih@* d%c % n |o Mi*L?}t |L T D LhiLihc |i ?|ih4i_@|i i?_TL?|t 4@) Mi ULti? uhL4 |i ti| .
OA,+ 2 6NAW5 5N5,A5 6 +

W? ML| |iLhi4tc |i ?|ih4i_@|i TL?|t 4@) @*tL Mi ULti? |L uLh4 @ 4L?L|L?U
tiî?Ui At ThLTih|)c Liihc ** ?L| Mi ti_ ?|* @T|ih D @?_ t i@t) |L
|@!i U@hi Lu 5Lc | ** Mi t!TTi_ ? |i ThLLut
t i tiic L?*) |i *@t| T@h|t Lu AiLhi4t 2D @?_ 2S 4@!i |i4 t|hL?}ih |i?
|ih Nih%AL4tL?<t UL?|ihT@h|t ì ** uL**L |i T@| Lu |i ThLLu Thiti?|i_
? dA2o E@||hM|i_ |L O4!i @?_ w@U3!LU( ?uLh|?@|i*)c Lh ThLLut ** Mi 4Lhi
UL4T*U@|i_ _i |L |i *@t| T@h|t Lu AiLhi4t 2D @?_ 2S
hLLu Lu AiLhi4 2D wi| L _i?L|i |i u@4*) Lu @** LTi? ?|ih@*t U | |i
ThLTih|) |@| uLh iih) %c + 5 U |ihi t @ U@? % ' %f c % c c %D ' + t@|tu)?}
d% c %n o 5 T uLh ' fc c 2c c e @?_ % 5 . uLh ' c 2c c e
E
ì ** tL |@|
u . t hit_@* ? E@c K |i? |ihi t @ tM?|ih@* Lu E@c K Mi*L?}?} |L L
E2
Ai t|@|i4i?| Lu |i |iLhi4 |i? uL**Lt M) |@!?} uLh |i ti| C @ ?L? Lu @
4@ 4@* T@hti _tL?| tMu@4*) Lu L W?_ii_ @?) ?|ih@* UL?|@?i_ ? C t @*tL
UL?|@?i_ ? tL4i ?|ih@* uhL4 L tL | t@|tit |i @ttih|L? Lu |i |iLhi4 AL tii
|@| . q C t ht| U@|i}Lh) ?L|i |@| |i ti| . t hit_@* ? tL4i ?L?i4T|) LTi?
ti| L uLh U . q L t 4i@}ih | |i? L UL?tt|t Lu _tL?| ?|ih@*t E@c K @?_
. t hit_@* ? i@U Lu |i4 5L C t _i?ti ? L @?_c t?Ui | t LTi?c | t hit_@*
? L At . q C E. q L ^ EL q C t 4i@}ih @t U*@4i_
AL tL E2 @tt4i |@| . t hit_@* ? E@c K 6Lh @?) TLt|i ? 5 / *i|
.? ' % 5 .G f |
, d% |c % n |o 5 T ?
OA,+ 2 6NAW5 5N5,A5 6 +
Ai? . '
e
V"
?' .? @?_ |ihi t @ ?4Mih ? 5 / tL |@| .? t Lu tiUL?_ U@|i}Lh)
? E@c K At |ihi t @? ?|ih@* U E@c K tU |@| .? t Lu tiUL?_ U@|i}Lh) ?
iih) tM?|ih@* Lu U tt4i @__|L?@**) |@| |i *i?}| mUm Lu U t *itt |@? ? A@!i |i ?|ih@* U UL?Ui?|hU | U @?_ Lu |i *i?}|

f mUm
At t |t ?|ih@* U
|@|c @t i t@** tLc Mi*L?}t |L L
wi| %c + 5 U c % + 6Lh |i t@!i Lu t4T*U|) @tt4i |@| % ' f 6Lh % 9' f i
hiTi@| |i UL?t|hU|L? Mi*L | |i ti| . hiT*@Ui_ M) . % L|i |@| uLh @?)
?4Miht | | m|m 2 mU m '
2f mUm
@?_ o |

2
mom 2c
|i ti| o.? n | t tiUL?_ U@|i}Lh) ? iih) tM?|ih@* Lu U E22
AL tii |t ?L|i |@| t?Ui f 5 U c dfbmUmc fbmUmo U 5?Ui mom
2
i @i
dfeDmUmc feDmUmo oU @?_ t?Ui m|m 2 mU m ' fDmUmc dfmUmc fmUmo oU n | `i
tii |@| |i ?|ih@* U t UL?|@?i_ ? iih) ?|ih@* oU n | 5?Ui .? t Lu tiUL?_
U@|i}Lh) ? iih) tM?|ih@* Lu U |i? tL t o.? n | ? oU n |
54*@h*)c

|i ti|t . n | @hi hit_@* ? U uLh m|m 2 mU m
2
E2
`i @?| |L ?_ @ Di*i4i?| U@? f ' %f c % c c %D ' + t@|tu)?} E AL _L |t
b
i ** ?_ @? ?|ih@* a f
+c + tU |@| uLh iih) 5 5 a |ihi t @ uLh i*i4i?|
U@? f ' %f c % c c %e ' 5 t@|tu)?}
d% c %n o 5 T uLh ' fc c 2c @?_ % 5 . uLh ' c 2c E
At ** ?t |i ThLLu t?Ui |i? i ti*iU| 5 5 a tU |@| 5 t @*tL ? |i ti|
q
r
b
+c + G 5 5 . @?_ d5c +o 5 T Ai ?|ihtiU|L? Lu a @?_ ~ t ?L?i4T|)
~ ' 5 5 f
OA,+ 2 6NAW5 5N5,A5 6 +
t?Ui E2.? + _ . _
b
f +c +
~ E@t 5 5 2.? + 4T*it
D
5 n+
2
5 .? tL d5c +o 5 T @?_c M) E22c 2.? + t tiUL?_ U@|i}Lh) ? iih) tM?|ih@* Lu U b
W? |i ?|ih@* f
+c + |i ti| . t hit_@* @?_c M) E22c .? n e + t tiUL?_
b
U@|i}Lh) t?Ui e + 2 mU m Oi?Ui . _ .? n e + t @*tL tiUL?_ U@|i}Lh) ? f
+c + V
W| uL**Ltc uhL4 |i u@U| |@| . ' ?' .? c |@| |ihi t @? ?|i}ih 6 @?_ @? LTi?
b
?|ih@* a f
+c + tL |@| |i ti| .6 _ .? n e + t tiUL?_ U@|i}Lh) ? iih)
"
tM?|ih@* Lu a `i 4@) @tt4i |@| mam
6
AL tL |@| a t@|tit E TU! 5 5 a ) E2 |i ti| 2 . n e + t hit_@* ? a
@?_c M) E22c |i ti| 2 .? n e 5n H + t tiUL?_ U@|i}Lh) ? a t?Ui e +c e 5n H + + mU m
AihiuLhi i 4@) ULLti @ TL?|

|5
.n + _
.? n 5 n + _ a
2
e
2
e
H
5?Ui | 5 2 . n e +c i @i
^ ' 2| + 5 .
2
E2e
L i ULLti @ TL?| r t@|tu)?}

. n + _ . n 2| + _
. n 5 _ .6 _ .? n + _ a
r5
2
e
2
e
2
2
e
@?_ mr |m 2 BE^
5U @ TL?| 4@) Mi uL?_ t?Uic M) E2c |i ht| |hii ti|t @hi hit_@* ? ac
@?_ |i uLh| L?i t Lu tiUL?_ U@|i}Lh) ? iih) tM?|ih@* Lu a tL |ih ?|ihtiU|L?
t _i?ti ? a #i?L|i M) R |i TL?| R ' r e + @?_ ?L|i |@|
m^ 2Rm ' 2mr |m BE^ @?_ R 5 .? L _i?i Lh TL?|t % G
E2D
OA,+ 2 6NAW5 5N5,A5 6 +
S
%f ' f ' %c
% ' 2R ' 2r 2 + 5 . t?Ui 2

2.
n e + 2 + ' .c
%2 ' 2^ 2R ' e| 2 + 2r 5 . t?Ui e| 2 + 2 2 . n 2| e + ' .c
% ' 2r 5 5 . t?Ui 2

2.
n 2 5 5 ' .c
%e ' 5
5L |i tiUL?_ T@h| Lu E t t@|ti_
Ai Ui?|iht Lu d% c %n o @hiG
%f n %
' R 5 .? M) E2Dc
% n %2
' ^ 5 . M) E2ec
%2 n %
' 2| e + 2 5 5 .? t?Ui | 5 2 .? n e 5 n H +c
% n %e
' r 5 .6 2
2
2
2
AL ?t |i ThLLu i L?*) ?ii_ |L ihu) |@| i@U d% c %n o t ? T | |t U@? Mi
tii? @t uL**Lt W?|ih@*t d%f c % o @?_ d%2 c % o @hi ? T t?Ui |ih Ui?|iht @hi ? .?
@?_ i@U % t ? |i ?|ih@* U U @t |i *i?}| ? Ai ?|ih@* d% c %2 o 5 T
t?Uic M) E2Dc m% %n2 %2 m ' m2R ^m BE^ ?_ ?@**) d% c %e o Mi*L?}t |L T
MiU@ti m%e rm ' m5 rm 6 @t ML| rc 5 5 a U @t *i?}| *itt |@? 6 W? |i ThLLu Lu |i ?i | |iLhi4 i ti |i uL**L?} ?L|L?t @?_ u@U|t )
mm i _i?L|i |i L|ih EwiMit}i 4i@thi Lu |i ti| c _E _i?L|it |i ti| Lu
q
r
TL?|t Lu EL|ih _i?t|) Lu c ic |i ti| % 5 +G *4<fn Kd%32c%no ' Ai
OA,+ 2 6NAW5 5N5,A5 6 +
.
i** !?L? |iLhi4 Lu wiMit}i Etii i} dA2c |4 o t@)t |@| uLh @?) ti| @*4Lt| @** TL?|t Lu @hi |t TL?|t Lu _i?t|) _E t @*@)t @ 4i@th@M*i ti| Eii?
uLh ?L?4i@th@M*i @?_ _E_E ' _E Wu % 5 _E |i? @% n K 5 _E@ n K uLh
@c K 5 +c @ 9' f W? T@h|U*@h u UL?tt|t L?*) Lu |t _i?t|) TL?|t |i? tL _Lit
@ n K uLh @c K 5 +c @ 9' f ì @*tL ti |i uL**L?} *i44@
wi44@ 2. dA2c |4 o Wu ti|t ? +c ihi ? 5 ic 2c c &jc @hi @**
4i@th@M*i i UiT| @| 4Lt| L?i Lu |i4 @?_ 5 t @ TL?| Lu _i?t|) Lu i@U Lu |i4 |i?
5 t @*tL @ TL?| Lu _i?t|) Lu |ih ?|ihtiU|L? W? T@h|U*@h ? iih) ?i}MLhLL_
Lu 5 |ihi t @ TL?| Lu
W&
?' ? hLLu Lu AiLhi4 2S Ai ThLLu uL**Lt |i T@||ih? Lu |i ThLLu Lu |4 2D(
i ** hiuih |L |i UL?_|L?t E @?_ E uhL4 |@| ThLLu
ì @tt4i |hL}L| |i ThLLu |@| iih) 4i@th@M*i ti| UL?tt|t L?*) Lu |t
_i?t|) TL?|t wi|
.? ' % 5 .G f |
, d% |c % n |o 5 T ?
ì tL |@| iih) TL?| |@| Mi*L?}t |L |i ti|
V"
?'
_E.? @t @ ?i}MLhLL_
t@|tu)?} |i @ttih|L? Lu |i |iLhi4 At @*4Lt| iih) TL?| Lu . t@|tit |
t?Ui . q
V"
?'
_E.? t Lu 4i@thi f
wi| % Mi @ TL?| Lu _i?t|) Lu .? tt4i uLh ?L|@|L?@* UL?i?i?Ui |@| % ' f
EuLh u % 9' f |i? hiT*@Ui |i ti| . M) . % Aihi t @ ?4Mih #c f # ? c
tU |@| uLh iih) + | m+m # @?_ iih) | | m|m 2m+m i@U Lu |i ti|t

2.? n |c .? n |c .? n |c @?_ . _ E.? n |
2
2
E2S
OA,+ 2 6NAW5 5N5,A5 6 +
H
b
?|ihtiU|t |i ?|ih@* E f
+c + ? @ ti| Lu L|ih 4i@thi }hi@|ih |@?
b
ff m+m
`i
4@) |@!i # ' S Bc ihi B t tU |@| uLh iih) f B i @i .? K2d3 co
bbb
fff
2 .?
AL tii |@| |t # Lh!t |@!i uLh i @4T*i |i ti|
n | _ Efb+c + '

2 .?
n | @?_ ?L|i |@|
d.? _ EH+ 2|c 2+ 2|o n | 4Miht mH+ 2|m @?_
m2+ 2|m @hi *itt |@? Sm+m Bc tL
m.? _ EH+ 2|c 2+ 2|m ' m.? _ ES+c S+
q d.? _ dES+c S+ q EH+ 2|c 2+ 2|oo m
bbb
2m+m E2m+m f2m+m
fff
HH
b
m+m : 2
m+m
'
fff
ff
Ai U@*U*@|L?t uLh L|ih ti|t ? E2S @hi t4*@h
6 @?) + 5 Efc # `i ThLi |@| |ihi t @ U@? f ' %f c % c c %D ' + t@|tu)?}
E t4*@h @h}4i?| L*_ Lh! uLh + f
q
wi| ~ ' 5 5
M) E2Sc m~m b
f +c +
b
ff +
4i@th@M*i ti| 8 r
b
G d5c +o 5 T L|i |@| E2.? + _ E f
+c + ~ @?_ tLc
AL ThLi |i |iLhi4 | t i?L} |L tL |@| |ihi t @
b
f +c +
_ . tU |@| m8 m :

ff +
@?_ |@| uLh iih) 5 5 8 |ihi
t @ uLh i*i4i?| U@? f ' %f c c %e ' 5 t@|tu)?} E W?_ii_ u |t ihi |hi
|i? 8 _ ~ 9' > @?_ ULLt?} @?) 5 5 8 _ ~ i L*_ LM|@? @ uLh i*i4i?| U@?
U i T@?_i_ M) %D ' + L*_ }i t Lh _ithi_ U@?
+iU@** |@|c M) E2Sc m. _ .? n e + _
b
f +c +
m:
b
ff +
5Lc uhL4 |i u@U| |@|
. t @? ?Uhi@t?} t4 Lu .6 <tc |ihi t @? ?|i}ih 6 tL |@|
b
.6 _ .? n + _
+c +
e
f
:
H
+
ff
E2.
OA,+ 2 6NAW5 5N5,A5 6 +
b
b
#i?L|i 6 ' .6 _ .? n e + _ f
+c + @?_ h|i

8 '
. n + _ _ .? n + _ _E6 _ .
2
e
2
`i tL |@| @** TL?|t Lu 8 @i |i ThLTih|) U*@4i_ uLh |
6ht| ?L|i |@|c M) E2S @?_ E2.c

D
+
+
+
+
+:
+
f
ff
ff
ff
ff
ff
wi| 5 5 8 5L 5 t @ _i?t|) TL?| Lu 8 5?Ui 5 5 _ 2 .? n 2 + | uL**Lt
|@| 5 Mi*L?}t |L _ 2 .? n e 5 n H + E?_ii_ e 5 5 _ e 2 .? n 2 + tL e 5 n e 5 5
_ e 2 .? n 2 + n e 5 c @?_ t?Ui 5 5 .c 5 5 2 . n 2 5
m8 m :
`i 4@) TU! @ TL?| | tL |@|

.? n 5 n + _
.n 5 _
. n + _ _E6 |5
2
e
H
2
2
2
e
@?_ m5 |m
6
At t TLttM*i M) wi44@ 2. t?Ui @** ti|t @MLic i UiT| TLttM*) |i ht| L?ic
@hi 4i@th@M*i @?_ |i TL?| 5 t @ _i?t|) TL?| Lu i@U Lu |i4
ì _i?i ^ ' 2| 2 + @?_ ?L|i |@| ^ 5 . t?Ui 2 2 . n e + 2 + ' . L|i
@*tL |@| | t @ _i?t|) TL?| Lu |i ti| 2 . n 2| e + @t | 5 2 . n 2 +
ì ?L TU! @ TL?| r ì @?| r |L t@|tu)G

.n 5 _
. n + _ . n 2| + _ 6 c
r5
2
2
2
e
2
e

mr |m BE^c @?_ mr 5m 2
6
?Ui @}@? M) wi44@ 2. |ihi i t|t @ TL?| r Mi?} ? @** uLh ti|t @?_
@hM|h@h) U*Lti |L | E| t @ _i?t|) TL?| Lu i@U Lu |i @MLi ti| A@!?} r U*Lti
OA,+ 2 6NAW5 5N5,A5 6 +
2f
i?L} |L | i }@h@?|ii |i *@t| UL?_|L? t?Ui mr 5m m5 |m n m| rm @?_
m5 |m
6
#i?i |i TL?| R ' r e + @?_ ?L|i |@| m^ 2Rm ' 2mr |m BE^ Ai TL?|t
%f c % c c %e t@|tu)?} E @hi _i?i_ @t uL**LtG
%f ' % ' fc
% ' 2R ' 2r 2 + 5 . t?Ui 2

2.
n e + 2 + ' .c
%2 ' 2^ 2R ' e| 2r 2 + 5 . t?Ui e| 2 + 2 2 . n 2| e + ' .c
% ' 2r 5 5 . t?Ui 2

2.
n 2 5 5 ' .c
%e ' 5
Ai Ui?|iht Lu |i ?|ih@*t d% c %n o @hiG
%f n %
' R ' r e + 5 .? t?Ui r 5 6 .? n e +
% n %2
' ^ ' 2| 2 + 5 . t?Ui | 5 2 . n e +
%2 n %
' 2| e + 2 5 5 .? t?Ui | 5 2 .? n e 5 n H +
% n %e
' r 5 .6 t?Ui r 5 6 .6 2
2
2
2
W?|ih@*t d%f c % o @?_ d%2 c % o @hi ? T t?Ui |ih Ui?|iht @hi ? .? @?_ i@U
% t ? |i ?|ih@* U U @t |i *i?}| m% % n %2
2

?
Ai ?|ih@* d% c %2 o 5 T t?Ui
m ' m% ^m ' 2mr |m BE^ ?_ ?@**) d% c %e o Mi*L?}t |L T MiU@ti
m%e rm ' m5 rm
6
|i ThLLu t ?ti_
At @) i tii |@| i@U ?|ih@* d% c %n o Mi*L?}t |L T @?_
OA,+ 2 6NAW5 5N5,A5 6 +
2
hLLu Lu AiLhi4 22. wi| t _i?L|i M) 7s |i ti| Lu TL?|t ihi s t
t)44i|hU@**) UL?|?Lt @?_ M) s |i ti| Lu UL?|?|) TL?|t ì ThLi L?*) |@|
7s q s UL?|@?t ?L 4i@th@M*i ti| Lu TLt|i 4i@thi Ai ThLLu |@| 7s q s
UL?|@?t ?L tiUL?_ U@|i}Lh) ti| @?} |i @hi ThLTih|) t itti?|@**) |i t@4i
tt4i |@| . 7s t 4i@th@M*i ì ** tL |@| @*4Lt| @** TL?|t ?
. @hi @*tL ? s At tLt |@| |i L?*) 4i@th@M*i tMti|t Lu 7s q s @hi Lu
4i@thi 3ihL tL 7s q s @t ??ih 4i@thi 3ihL
6 @? 0 : f @?_ _i?i @ t)44i|hU ULih hi*@|L? L? .G
T ' id% |c % n |oG % | 5 . , ms E% | s E% n |m 0j
At hi*@|L? t@|tit @tt4T|L? Lu AiLhi4 2S 5L uLh @*4Lt| iih) % 5 .
|ihi t @ ?i}MLhLL_ L% tL |@| % n | 5 L% , d%c % n |o 5 T D @?_ ?|ih4i_@|i
i?_TL?|t @hi ? .c |@| tc |ihi @hi TL?|t %f ' %c % c c %D ' %n| tU |@| % 5 .
uLh ' c 2c c e @?_ d% c %n o 5 T uLh ' fc c e AihiuLhi msE% s E% n |m D0
5?Ui 0 @t Mii? ULti? @hM|h@h*)c s t UL?|?Lt ? @*4Lt| @** TL?|t Lu .
2e
, |i?tL?t Lu UL?|?Lt @?_ t)44i|hU@**)
UL?|?Lt u?U|L?t
W? |t tiU|L? i *LL! @| |i i |i?tL? ThLTih|it Lu t)44i|hU@**) UL?|?Lt u?U
|L?t @?_ UL4T@hi |i4 | |iti ThLTih|it uLh UL?|?Lt u?U|L?t
ì !?L |@| iih) UL?|?Lt u?U|L? sG $ + _i?i_ L? @ tMti| Lu + U@?
Mi i |i?_i_ |L @ UL?|?Lt u?U|L? _i?i_ L? @ _i?ti CB ti| At ti| U@? Mi Lu
ULhti hit_@* L|i |@| UL?|?|) _t|?}tit Mi|ii? 4i@thi @?_ U@|i}Lh) @t
OA,+ 2 6NAW5 5N5,A5 6 +
22
| t TLttM*i |L ?_ u?U|L? |@| U@? Mi L?*) i |i?_i_ |L @ 4i@thi 3ihL CB ti|
ì ** tii ? AiLhi4 2e2 |@| tL4i t)44i|hU@**) UL?|?Lt u?U|L?t U@??L|
Mi i |i?_i_ Mi)L?_ 4i@thi 3ihL @?_ ht| U@|i}Lh) _L4@?
Wu i *LL! @| , @4T*i 22 i tii |@| @ t)44i|hU@**) UL?|?Lt u?U|L?
_i?i_ |ihi @t _i?ti Thi4@}it Lu f @?_ c tL @?) |t i |i?tL? L*_ Mi _tUL?
|?Lt @| iih) TL?| Atc M) LhL**@hit 22H @?_ 22bc s U@??L| Mi i |i?_i_ |L
@ t)44i|hU@**) UL?|?Lt u?U|L? _i?i_ L? @ 4i@th@M*i ti| Lh L? @ ti| @?}
|i @hi ThLTih|)
Ai u?U|L? s uhL4 , @4T*i 22 U@??L| Mi ii? R@*4Lt| i |i?_i_ E? @
ti?ti |@| |i i |i?tL? _giht uhL4 s L?*) L? @ ti| Lu 4i@thi f |L @ t)44i|hU@**)
UL?|?Lt u?U|L? At uL**Lt uhL4 |i u@U| |@| c @?_ |t |i ti|t s 3 E @?_
s 3 Efc @hi ?L?4i@th@M*i E?L|i |@| @** h@|L?@* |h@?t*@|L?t Lu s 3 E @?_ s 3 Ef
ULih + tL |iti ti|t @i TLt|i L|ih 4i@thic ? u@U| u** L|ih 4i@thi 5L
ii? TL? hi4L?} ti|t Lu 4i@thi 3ihL uhL4 |i4 |i) hi4@? _i?ti ? +
_gihi?| ît|L? t i|ih @?} @ u?U|L? s G $ + |@| t UL?|?Lt
ELh t)44i|hU@**) UL?|?Lt i 4@) i |i?_ | |L |i L*i hi@* *?i *i@?} |
UL?|?Lt ELh t)44i|hU@**) UL?|?Lt L? |i ti| 6Lh UL?|?Lt u?U|L?tc @t
|i ?i | |iLhi4 tLtc |t t |hi EAi u@U| Mi*L 4t| @i Mii? !?L?c M|
i ihi ?@M*i |L ?_ |i hiuihi?Uit
6@U| 2e Wu s G $ + t UL?|?Lt |i? |ihi t @? i |i?tL? s Lu s _i?i_ L?
h{dpsoh ri vxfk ixqfwlrq pd| eh exlow wkh iroorzlqj zd|1 Ohw Fq ^3> 4` eh d whuqdu|
Fdqwru vhw vxfk wkdw lwv frpsolphqw Jq kdv phdvxuh q4 1 Ghqh ixqfwlrq iq = Jq $ U vxfk wkdw lwv
uhvwulfwlrq wr hdfk frpsrqhqw lqwhuydo ri Jq lv d olqhdu ixqfwlrq zlwk udqjh +3> 4,1 Reylrxvo| iq lv
frqwlqxrxv rq Jq dqg kdv yduldwlrq 4 dw hyhu| srlqw rxwvlgh Jq 1 Qrz/ wkh ixqfwlrq i @ q5$ 64q iq
ghqhg rq q5$ Jq lv d ghvluhg ixqfwlrq1
4 Dq
W
S
OA,+ 2 6NAW5 5N5,A5 6 +
2
|i L*i + | sc ihi s t |i ti| Lu TL?|t Lu UL?|?|) Lu s
hLLu Wu t ?L| _i?ti ? + |i? + q U*E UL?tt|t Lu _tL?| ?|ih@*t E@c K @?_
i i |i?_ Lh u?U|L? M) _i??} s L? i@U Lu |i4 @t @ UL?|?Lt u?U|L? L??}
tT%<@c%M s E% | tT%<Kc%M s E% Eii? u L?i Lu |i4 Lh ML| @hi ??|) 5L
i 4@) @tt4i |@| t _i?ti ? +
tt4i ht| |@| s t ML?_i_ W? |t U@ti i 4@) @tt4i |@| s G $ dfc o
A@!i @ U*Lthi U*Es Lu |i u?U|L? s ? +2 Es t @ ti| Lu T@ht |t @ tMti| Lu
+2 5?Ui t _i?tic |i ThLiU|L? ZEU*Es Lu U*Es L?|L |i ht| ULLh_?@|i t
|i L*i hi@* *?i At t tLc @t uLh iih) ?|i ?|ih@* d@c Koc |i ti| U*Esmd@cKo t
UL4T@U| @?_ |t ThLiU|L? t @*tL UL4T@U|c |t UL?|@?t _ d@c Ko Q @ _i?ti ti| ?
d@c Ko
wi| U% ' i+G k%c +l 5 U*Esj Ai? iih) U% t ?L?i4T|) *tLc uLh iih) % 5 |i ti| U% t |i L?i i*i4i?| ti| is E%j W?_ii_c uLh iih) ik%? c sE%? lj ? s |
i%? j UL?ih}?} |L %c i @i *4 s E%? ' sE% M) |i UL?|?|) Lu s A@!i @?
?_i i_ ti*iU|Lh 7 Lu |i u@4*) iU% G % 5 +j Eic 7 t @ ti| Lu T@ht k%c +lc ihi
+ 5 U% Ai? 7 t @ u?U|L? uhL4 + |L dfc o @?_ 7 @}hiit | s L? iih) % 5 W| t i@t) |L UiU! |@| 7 t UL?|?Lt ? iih) TL?| Lu Wu s t ?ML?_i_ |i? |@!i |i u?U|L? } ' @hU|@? s c U t ML?_i_ )
|i UL?|?|) Lu @hU|@? i @i |@| } t UL?|?Lt ? iih) TL?| ihi s t
UL?|?Lt
O@?} @? i |i?tL? } Lu }c i UL4i M@U! |L s |@!?} s ' |@? }c ihi i _i?i
sE Z2 ' f ?Ui @}@? M) |i UL?|?|) Lu |i u?U|L? |@? i Thitihi TL?|t Lu
UL?|?|) Lu }
OA,+ 2 6NAW5 5N5,A5 6 +
2e
?Ui @}@? |i |h@?t*@|L? Lu |i @MLi |iLhi4 ?|L t)44i|hU@* *@?}@}i u@*t
|L L*_
AiLhi4 2e2 Aihi t @ u?U|L? s G $ ifc j |@| t t)44i|hU@**) UL?|?Lt
iih)ihi L? | |i uL**L?} ThLTih|)G u 8 t @? i |i?tL? Lu s |L @ _L4@? (
tU |@| ( @t TLt|i 4i@thi Lh ( t Lu tiUL?_ U@|i}Lh) | |i @hi ThLTih|)c
|i? 8 t ?L| t)44i|hU@**) UL?|?Lt @| tL4i TL?| L? hLLu ì ** UL?t|hU| ?_U|i*) Et?} |h@?t?|i ?_U|L? @ ti| @?_ **
_i?i u?U|L? s L? 6?U|L? s ** @i |L ThLTih|itG uLh iih) TihuiU| ti|
c |ihi t @ TL?| % 5 tU |@| |ihi t @ T@h Lu tiî?Uit i+? j @?_ i5? j ?
UL?ih}?} |L % @?_ t)44i|hU @ML| %c Eic
+? n 5?
2
' % uLh @** ?( s ** @i
@*i uLh @** +? r @?_ @*i f uLh @** 5? r Ai?c Lu ULhtic % U@??L| Mi*L?} |L |i
_L4@? Lu @?) t)44i|hU@**) UL?|?Lt i |i?tL? Lu s @?_c t?Ui @?) 4i@th@M*i
ti| Lu TLt|i 4i@thi Lh @hi 4i@th@M*i ti| Lu tiUL?_ U@|i}Lh) UL?|@?t @ TihuiU|
ti|c s U@??L| Mi i |i?_i_ |L @?) Lu |iti ti|t
wi| ik G k Uj Mi @ *t| Lu @** TihuiU| tMti|t Lu + A@!i @?) TL?| %f 5 f @?_
_i?i +?f ' %f ? @?_ 5?f ' %f n ? | @*tL sf G i+?f c 5?f G ? 5 /j $ ifc jc sf E+?f ' c
sf E5?f ' f Eì _L ?L| _i?i sf E%f 5?Ui %f t |i L?*) @UU4*@|L? TL?| Lu |i ti| i+?f c 5?f G ? 5 /jc |i u?U|L?
sf t t)44i|hU@**) UL?|?Lt E@ULt*) L? |t _L4@? #i?L|i M) Af |i *?i@h
tT@Ui Lih " tT@??i_ M) |i ti| i+?f c 5?f G ? 5 /j @?_ ?L|i |@| %f 5 Af tt4i |@| uLh q k i @i _i?i_ TL?|t %q 5 q @?_ tiî?Uit i+?q j @?_
i5?q j UL?ih}?} |L %q @?_
+?q n5?q
2
' %q tt4i @*tL |@| %q c +?q c 5?q 95 Aq ihi
Aq '*?i@h tT@Ui Lih " tT@??i_ M) |i ti| i% c +? c 5? G ? 5 /c qj Ei |i TL?|t
OA,+ 2 6NAW5 5N5,A5 6 +
2D
%q c +?q c 5?q @hi ?_iTi?_i?| Lu |i ThiLt L?it
6?U|L?t sq G i+?q c 5?q G ? 5 /j $ ifc j @hi _i?i_ *!i sf c |@| tc sq E+?q ' @?_
sq E5?q ' f Eì *i@i sq E%q ?L| _i?i_
wi| Ak Mi |i *?i@h tT@Ui Lih " tT@??i_ M) |i ti| i%q c +?q c 5?q G ? 5 /c q kj
Ai tT@Ui Ak @t U@h_?@*|) mkm / U @?_ i 4@) ?_ @ TL?| %k 5 k q Ak @?_
k k
tiî?Uit i+?k jc i5?k j _tL?| | Ak c UL?ih}?} |L %k c @?_ | %? n2 5? ' %k uLh
@** ? 5 / w!i MiuLhi i _i?i sk E+?k ' f @?_ sk E5?k ' }@? sk t E@ULt*)
t)44i|hU@**) UL?|?Lt L? |t _L4@?
V
O@?} Lh UL?t|hU|L? _L?i uLh @** k U i _i?i s ' kU sk 5?Ui TL?|t +?k
@?_ 5?k @hi *?i@h*) ?_iTi?_i?| Lu |i TL?|t +?q @?_ 5?q uLh k 9' qc |i u?U|L? s t
@ULt*) t)44i|hU@**) UL?|?Lt ||?} ' _L4Es ' i+?k c 5?k ( ? 5 /c k Uj
i @i UL?t|hU|i_ |i _ithi_ ti| @?_ |i u?U|L? _i?i_ L? |
Wt t Lh| |L @__ |@| i 4@) t|hi?}|i? |i |iLhi4 @MLi M) @__?} |@| 4@) Mi Lu 4i@thi 3ihL @?_ ht| U@|i}Lh) Eì 4@) ti*iU| TL?|t +?k @?_ 5?k uhL4
|i ti| UL?t|hU|i_ ? LhL**@h) b
L|i @*tL |@| ? UL?|h@t| |L |t |iLhi4 |i u?U|L? s ? , @4T*i 22 U@?
Mi i |i?_i_ |L + E@t UL*_ Mi @?) t)44i|hU@**) UL?|?Lt u?U|L? _i?i_ L?
@ t)44i|hU ti|c M) T||?} f L? + q c @?_ hi4@? t)44i|hU@**) UL?|?Lt ?
iih) TL?| Lu @T|ih ì@! t)44i|hU UL?|?|)

Ai hit*|t ? |t U@T|ih @hi ? 4) T@Tih d53o
wi| t hiU@** @ !?L? u@U| @ML| TL?|t Lu UL?|?|) E5ii i} dko
6@U| Ai ti| Lu TL?|t Lu UL?|?|) Lu @?) u?U|L? EuhL4 + |L + t @ CB
ti| @?_ @?) CB ti| t |i ti| Lu TL?|t Lu UL?|?|) uLh tL4i u?U|L?
@?) @|Lht @i ?it|}@|i_ @| @TTi?t u i hiT*@Ui |i Lh_?@h) UL?|
?|) M) L|ih |)Tit Lu UL?|?|)c ic U ti|t 4@) Mi LM|@?i_ @t ti|t Lu TL?|t
Lu _gihi?| |)Tit Lu }i?ih@*3i_ UL?|?|) 6ht| *i| t *LL! @| |i t)44i|hU UL?|
?|) At t @ i@!ih ?L|L? |@? Lh_?@h) UL?|?|) @?_ 6@U| t ?L| @*_
@?) 4Lhi uLh TL?|t Lu t)44i|hU UL?|?|) W? u@U| | t @? L*_ ThLM*i4 Lu @h
Ut |L U@h@U|ih3i |iti TL?|t Eì 4i?|L?i_ @*hi@_) |t ThLM*i4 ? @T|ih 2
@?_ t|@|i_ hi*@|i_ AiLhi4 2 6Lh L|ih T@h|@* hit*|t tii AL4tL? dA2o @?_
a@t!p*@c 53!LT
?t!@ da5o
?L|ih ?L|L? i UL?t_ih t i@! UL?|?|)
2S
OA,+ `,k 5v,A+W AWNWAv
2.
#i?|L? 2 u?U|L? sG + $ + t i@!*) UL?|?Lt @| @ TL?| % u |ihi
i t| |i tiî?Uit k%? l @?_ k+? l tU |@| %? ( %c +? ) %c @?_
*4
<" sE%? ' ?*4
<" s E+? ' s E%
?
W? T@h|U*@h s E%? s E+? $ f
Ai ?i |c h@|ih ?i TiU|i_c |iLhi4 t@)t |@| i@! UL?|?|) t ?_ii_ @ ih)
i@! ?L|L?
AiLhi4 dAc @T 2o ,ih) u?U|L? s G + $ + t i@!*) UL?|?Lt i
ih)ihi i UiT| @ UL?|@M*i ti| @?_ iih) UL?|@M*i tMti| Lu + t |i ti| Lu TL?|t
Lu i@! _tUL?|?|) uLh tL4i u?U|L?
hLLu 6Lh |i ht| T@h| tii uLh i @4T*i dAc @T 2o
6Lh |i tiUL?_ T@h|c *i| ' i@? G ? 5 /j Mi @ UL?|@M*i ti| Ai u?U|L?
s E% '
S@ % 23?
?
t |i L?i i @hi *LL!?} uLh W?_ii_c u % : @? : + |i?
s E% s E+ 23? c tL s t ?L| i@!*) UL?|?Lt @| @?) @? Wu % 95 @?_ u + t
U*Ltih |L % |@? @?) Lu |i TL?|t @ c c @& |i? ms E+ sE%m S"
?'&n 2
3? ' 2 3&
t?Ui i _L ?L| @i @?) @? <t ? E% m% +mc % n m% +m | ? & 5L s t
UL?|?Lt EtL i@!*) UL?|?Lt @| % 5
* L u i hiT*@Ui i@! UL?|?|) M) |t t)44i|hU UL?|ihT@h|c i LM|@? |i
uL**L?} ?L|L?
#i?|L? e u?U|L? s G + $ + t i@!*) t)44i|hU@**) UL?|?Lt @| @
TL?| % u |ihi i t|t @ tiî?Ui k? l UL?ih}?} |L f tU |@|
?*4
<" s E% n ? sE% ? ' f
OA,+ `,k 5v,A+W AWNWAv
2H
E@h@_L U@**)c i@! t)44i|hU UL?|?|) t @ t|hL?}ih ?L|L? |@? i@! UL?|?|)
ì ** ?it|}@|i |i ThLM*i4 Lu U@h@U|ih3?} |i ti|t Lu TL?|t ihi @ u?U|L?
U@? Mi i@!*) t)44i|hU@**) UL?|?Lt Ai ht| hit*| ? |t _hiU|L? @t LM
|@?i_ M) iti*t! @?_ w@htL?c @?_ | *LL!t thTht?} ? *}| Lu AiLhi4
AiLhi4 D Eiti*t!c w@htL? dwo Aihi t @ u?U|L? }G + $ |@| t
i@!*) t)44i|hU@**) _tUL?|?Lt iih)ihi
Ai ?i | |iLhi4 @?tiht |i ThLM*i4 UL4T*i|i*)
AiLhi4 S ?) ti| Lu hi@*t t |i ti| Lu TL?|t Lu i@! t)44i|hU@* UL?|?|)
uLh tL4i u?U|L? sG + $ Ai 4@? T@h| Lu |i ThLLu t ? |i uL**L?} *i44@ ì ** ti |i L4 Lu
LUi ihi W| U@??L| Mi @L_i_ @t |ihi @hi 4L_i*t Lu ~6 Etii dwc ULh Do ?
U wi44@ . @?_ AiLhi4 D @hi u@*ti
V
wi44@ . 6Lh @?) ti| + |ihi i t|t @ ti| f ' @M i@ @? G ? 5 /j tU
|@|
E@ @? ) f uLh iih) @ 5 @?_ |i ti|t 7@ ' i@ @? G ? 5 /j @hi T@hti _tL?|(
EM uLh iih) K 5 + q |ihi t ?L tiî?Ui ? ) f | K ? 5 f
iuLhi i t|@h| |i ThLLu *i| t hi4@h! |@| |i ti| f 4@) Mi @*@)t ULti?
|L Mi 4i@}ih @?_ Lu 4i@thi 3ihL At T@h|@**) @?tiht |i ît|L? t|@|i_ @|
|i ?UL?uihi?Ui ? Mh? ? bb. @u|ih Thiti?|@|L? Lu wi44@ . Ai ti|
f U@? Mi uL?_ @t @ tMti| Lu tL4i tTiU@* 4i@}ih @?_ 4i@thi 3ihL ti| AL
OA,+ `,k 5v,A+W AWNWAv
2b
4@!i |i Mi*L ThLLu Lh!c i ?ii_ L?*) |@| uLh @** % 5 + @?_ uLh @** ? 5 /
|ihi @hi UL?|?4 4@?) T@ht +c 5 5 _ % ? c % n ? | +n2 5 ' % LhL**@h)
b }@h@?|iit |i i t|i?Ui Lu tU ti| E|t t |t ti| |@| |i UL44i?|
@u|ih AiLhi4 2e2 hiuiht |L W? |i ThLLu Mi*L Liihc uLh |i t@!i Lu t4T*U|)
E@?_ t?Ui i _L ?L| ?ii_ |@| t|hi?}|i?i_ ihtL? |L ThLi AiLhi4 Sc i
|@!i ' + Ai hi@_ih 4@) ?L|Ui |@| | ?L U@?}it |i ThLLu Lh!t uLh L|ih
ti|t hLLu Lu wi44@ . ì ** UL?t|hU| |i ti| f ?_U|i*)c t?} |h@?t?|i
?_U|L? 6ht| ?L|i |@| |i ht| T@h| E@ t i^@*i?| |L |i uL**L?} UL?_|L?
E@ 6Lh iih) @ 5 |ihi @hi |i tiî?Uit k%? l @?_ k+? l uhL4 f tU |@| %? ( @c
+? ) @c @?_ %? n2 +? ' @ uLh iih) ?
L?_|L? EM |@? t@)t |@| |ihi @hi ?L tU tiî?Uit k%? lc k+? l uLh K 5
* wi| V Mi |i U@h_?@*|) Lu @?_ *i| ' i@k G k Vj Mi @? i?4ih@|L? Lu
) ?_U|L? L? k V i UL?t|hU| |i tiî?Uit k%k? G ? /l @?_ k+?k G ? /l
V
|?itt?} E@ uLh @ ' @k c @4?} uLh f ' kV i%k? c +?k G ? /j Ai U@**i?}i **
Mi ? 4@?|@??} UL?_|L? EM ì ** ti |i uL**L?} @ *@h) ti|tG
fk '
r q
r
^ q q
%? G ? / ^ +?q G ? / c
qk
%n+
k '
G %c + 5 fk q c
2
@?_ |i u?U|L?t sk G k $ + _i?i_ M)
%n+
sk EK ' ?u mK %mG % 5 fk @?_ <+ fk
'K 2
M
W? |i UL?t|hU|L? i ** 4@?|@? |i uL**L?} |L ?_U|i UL?_|L?tG
OA,+ `,k 5v,A+W AWNWAv
f
EU sk E% : f uLh i@U % 5 k c
E_ sq sk uLh q k
L?_|L?t EU @?_ E_ 4T*) |@| EM L*_t uLh iih) TL?| ? ^k c t?Ui s ' ^kV sk
t TLt|i L? ^k 6Lh iih) TL?| L|t_i
V
kV k c UL?_|L? EM t @|L4@|U@**) t@|ti_ @?_ |i
ti| f ** @i |i _ithi_ ThLTih|)
A@!i |i ht| tiî?Ui k%f? l |L Mi %f? ' @f n ? Ai? +?f ' @f ? c ff '
i%f? c +?f G ? /jc @?_ f ' i %n2 + G %c + 5 ff j q 5?Ui |i L?*) @UU4*@|L? TL?|
Lu ff t @f 5 |i? sf E% : f uLh @** % 9' @f @?_ EU t t@|ti_
tt4i |@| uLh tL4i k V i @i @*hi@_) _i?i_ |i tiî?Uit k%q? l @?_ k+?q l
uLh @** q k ì ULLti tiî?Uit k%k? l @?_ k+?k l t@|tu)?} E@ tL |@| uLh iih)
V
K 5 qk q @?_ ? / i @i
%k? c 2K %k? 95
@?_
%k? c 2K +?k 5
*
^
qk
^
qk
fq ^ i%k& c +&k G & ?j
fq ^ i%k& c +&k G & ?j
5U tiî?Uit i t| t?Ui i 4@) ULLti TL?|t %k? @?_ +?k ?_U|i*) tL |@|
;
3
4<
?
@
^
^
%k? c +?k 5
* =2K %G K 5
q : % 5 C
fq ^ i%k& c +&k G & ?jD>
qk
qk
V m m V f m mkm / U @?_ %k?n+?k ' @
E|t ti| @t U@h_?@*|) m
qk q
qk q
2
k W|
t U*i@h |@| ML| ?_U|i UL?_|L?t @hi Thitihi_
L T||?} f '
V
V
k k
kV fk ' kV i%? c +? G ? /jc i tii |@| E@ t LMLt*)
t@|ti_ @?_ EM t t@|ti_ t?Ui s '
V
kV sk t @ TLt|i u?U|L? @?_ uLh iih)
OA,+ `,k 5v,A+W AWNWAv

TL?| K ?L| ? i|ih i _L ?L| @i @ T@h Lu tiî?Uit UL?|@?i_ ? f @?_
t)44i|hU @ML| |@| TL?| Lh |iti tiî?Uit U@? ?L| @i i*i4i?|t U*Ltih |L K
|@? s EK
hLLu Lu AiLhi4 S wi| }G + $ Mi @? iih)ihi i@!*) t)44i|hU@**)
_tUL?|?Lt u?U|L? @?_ + ì ** UL?t|hU| @ u?U|L? s |@| @t TL?|t Lu
i@! t)44i|hU UL?|?|) i @U|*) ? |i ti| wi| j Mi |i ti| uhL4 wi44@ .
uLh |i ti| ì _i?i
s E% '
}E% n
f
uLh % 5
*f
uLh % 5 f
MLt*) iih) TL?| Lu t @ TL?| Lu i@! t)44i|hU UL?|?|) Lu s EAihi t @
t)44i|hU tiî?Ui ? j UL?ih}?} |L |t TL?| Wu % 95 |i? i _L ?L| @i @
tiî?Ui t)44i|hU@**) UL?ih}i?| |L % UL?|@?i_ ? f ì @*tL _L ?L| @i tU @
tiî?Ui UL?|@?i_ ? +qf t@|tu)?} |i _i?|L? Lu i@! t)44i|hU UL?|?|) uLh
%c MiU@ti } t i@!*) t)44i|hU@**) _tUL?|?Lt iih)ihi 6?@**) @?) R4 i_
tiî?Ui ** ?L| t@|tu) |@| _i?|L? i|ih t?Ui s _gih L? TL?|t uhL4 f @?_
L|t_i Lu f M) @| *i@t|
L i ThL_i |i ThLLu Lu |i i t|i?Ui Lu 4i@thi 3ihL @?_ 4i@}ih ti| At
ti| U@? Mi ti_ ML| ? wi44@ . @?_ ? AiLhi4 2e2 Ai 4@? |iLhi4t Lu
|t Lh! _L ?L| hi^hi |@| ti|c @?_ |i hi@_ih 4@) t!T |@| T@h| ì ?U*_i |t
t?Ui | tii4t |@| | t Lh| @__?} |@| Rt4@** ti|t U@? @i M} Ri@! t)44i|hU
U*Lthi
ì ** ti |i M@ti . i T@?tL?c ic uLh % 5 dfc o i h|i % ' f% %2 4i@??} |@| % '
S"
%
' . c % 5 ifc c 2c c ec Dc Sj
OA,+ `,k 5v,A+W AWNWAv
2
6Lh iih) ?|i tiî?Ui % %2 %? ihi % 5 ifc c 2c c ec Dc Sj *i|
% %2 %? ' i% 5 dfc oG % ' f% %2 %? %?n % 9' uLh : ?j
% %2 %? t @ R@?|Lh

.
ti| W| t @ TihuiU| ti| Lu 4i@thi 3ihL E|tc ?Lihi
_i?ti
#i?L|i @*tL
'
î
% %2 %?
G ? 5 /j
Ai ti| Mi?} @ UL?|@M*i ?L? Lu 4i@thi 3ihL @?_ ?Lihi _i?ti ti|t @t
4i@thi 3ihL @?_ t 4i@}ih Ai ?i | |iLhi4 t@)t | t |i ti| i @hi *LL!?} uLh
ì t@) |@| @ ti| + t t)44i|hU @ML| @ TL?| % 5 + u % n 5 +,
% 5 uLh iih) 5 + E|i t@4i @t ' 2% AiLhi4 H 6Lh iih) % 5 Efc @?_ uLh iih) LTi? ?i}MLhLL_ L Lu % |ihi
t @ TihuiU| ti| UL?|@?i_ ? _ L @?_ t)44i|hU @ML| %
hLLu wi| % 5 Efc @?_ *i| f% %2 Mi |i i T@?tL? Lu % ì @tt4i |@| ?L|
@*4Lt| @** % r @hi i^@* |L S wi| @*tL L Mi @? @hM|h@h) ?i}MLhLL_ Lu % ì
@ ?4Mih ? 5 / tU |@| uLh @** + ' f+ +2 | + ' % uLh ? i @i + 5 L
ì UL?t_ih |hii U@tit
@ti W? |i tiî?Ui % %2 i @i ??|i*) 4@?) <t Lh 2<t Lh <t Lh e<t Lh
D<t
5@) @| ht| |@| i @i ??|i*) 4@?) <t @?_ |@| % ' uLh ' c 2c c @?_
: ? ì _i?i ?4Miht + @?_ 5
+ ' f+ +2 @?_ 5 ' f5 52 ihi
+ ' % uLh ?c 5 ' % uLh ?c
OA,+ `,k 5v,A+W AWNWAv
+ ' f Lh + ' c 5 ' 2 + c
+ ' 2 u % ' c : ?c 5 ' e u % ' c : ?c
+ ' % c 5 ' % uLh @** L|ih *i@h*) @** tU +<t uLh4 @ R@?|Lh*!i TihuiU| ti| @?_ tL _L 5<tc iih) + @?_ 5
Mi*L?}t |L L _ % %2 %? 6Lh iih) T@h Lu ULhhitTL?_?} + @?_ 5 i @i
tL
+ n5
2
+ n 5
2
' %
' %
Wu i @i ??|i*) 4@?) L|ih _}|t ?t|i@_ |i? i hiTi@| |i @MLi UL?t|hU|L?
U@?}?} L?*) + @?_ 5 @UULh_?} |L |i uL**L?} uLh4*@t
% ' 2 $ + ' f Lh + ' ec 5 ' e + c
% ' $ + ' f Lh + ' Sc 5 ' S + c
% ' e $ + ' 2 Lh + ' ec 5 ' H + c
% ' D $ + ' D Lh + ' Sc 5 ' f + ?Ui @}@? i tii |@|
+ n 5
' % tL
2
+ n5
2
' % @?_ |@| +<t @?_ 5<t uLh4 @ t)44i|hU
TihuiU| ti| @hL?_ % |@| t UL?|@?i_ ? _ L @ti 2 W? % %2 i @i ??|i*) 4@?) f<t @?_ S<t @?_ @ti _Lit?<| L*_
W? |@| U@ti i @i ??|i*) 4@?) T@ht % ' Sc %n ' f wi| % ' Sc % n ' f
uLh ' c 2c @?_ : ?
ì _i?i ?4Miht + ' f+ +2 @?_ 5 ' f5 52 + ' % c 5 ' % uLh ?c
E+ ' S @?_ + n ' f Lh E+ ' D @?_ + n ' c
5 ' Sc 5 n ' f u + n ' f @?_ 5 n ' D u + n ' c
+ ' 2 u % ' c : ?c 5 ' e u % ' c : ?c
+ ' % c 5 ' % ? L|ih T*@Uit
ì 4@) i@t*) UiU! |@|
+ n5
2
' % Et?Ui
+ n5
2
' % c +<t @?_ 5<t @hi ? L @?_ ?
OA,+ `,k 5v,A+W AWNWAv
e
% %2 %? W|<t @*tL U*i@h |@| +<t @?_ 5<t uLh4 @ TihuiU| ti|
@ti W? % %2 @** % @hi ii?|@**) i^@* f
L % ' f% %2 %& fff @?_ %& 9' f
Wu & : ? |i? |i ti| % %2 E%& 3 ^ %%2 %& t @ _ithi_ ti|
Wu & ? |i? |i ti| % %2 E%& 3SSS ^ % %2 %& fff E? & f<t @?_ ? & S<t t @
h}| ti|
L u i @i @ ULT) Lu ? iih) ?|ih@* d?c ? n o E? 5 ~ |@| t u
^
'
?
M~
n ?
|i? AiLhi4 H L*_t uLh @?) % 5 +c @?_ i @i |i ULhL**@h)
LhL**@h) b Ai ti| t Lu 4i@thi 3ihL @?_ ht| U@|i}Lh) @?_ uLh iih) % 5 +
@?_ iih) LTi? ?i}MLhLL_ L Lu % |ihi t @ TihuiU| ti| UL?|@?i_ ? _ L @?_
t)44i|hU @ML| %
W? AiLhi4 S i M*| @ u?U|L? | ??|i*) 4@?) @*it ? ?|ihit|?}
ThLM*i4 |@| iti*t! @?_ w@htL? @t! ? dwo t i|ih |t t ?iUitt@h)c |@| tc
u |ihi t @ ?Lihi i@!*) t)44i|hU@**) UL?|?Lt u?U|L? | ?|i*) 4@?)
@*it
W? U@ti Lu 2@*i_ u?U|L? i @i |i uL**L?} hit*| EL4T@hi @*tL dwo
AiLhi4 f EL! do ,ih) 2@*i_ u?U|L? @t L?*) UL?|@M*) 4@?)
TL?|t Lu i@! t)44i|hU _tUL?|?|)
iti*t! ? do tLi_ @*tL |@| iih) @*i_ u?U|L? @t @ TL?| Lu i@! t)4
4i|hU UL?|?|) ì _L ?L| !?L u |i t@4i t |hi uLh e@*i_ u?U|L?t +iUi?|*)
OA,+ `,k 5v,A+W AWNWAv
D
iti*t! @?_ 5i*@ d5o tLi_ |@| |ihi t iih)ihi i@!*) t)44i|hU@**)
_tUL?|?Lt u?U|L? | ML?_i_ h@?}i
@T|ih e
R@_ t)44i|hU@**) UL?|?Lt
u?U|L?t
e
W?|hL_U|L?
At U@T|ih UL?Uih?t |i Rhhi}*@h|) Lu t)44i|hU@**) UL?|?Lt u?U|L?t `*i
|i) @hi UL?|?Lt @*4Lt| iih)ihi EAiLhi4t 22c 222c @?_ 22c |i) t|**
U@? u@* |L t@|tu) tL4i L|ih E^|i i@! }i?ih@*3i_ UL?|?|) ThLTih|it E5ii
dAc c .fHeo Lh dA2o W? |t U@T|ih i ** uL**L Lh T@Tih d53o
6Lh f + @ u?U|L? s G f $ + t UL?|@M*) UL?|?Lt u |ihi t @ UL?|
@M*i ULih if? G ? 5 j Lu f EM) @hM|h@h) ti|t tU |@| i@U hit|hU|L? s mf? t
UL?|?Lt
? ?|ihit|?} ît|L? @t!i_ M) wii w@htL? ETh@|i UL44?U@|L? t i|ih
iih) t)44i|hU@**) UL?|?Lt u?U|L? t UL?|@M*) UL?|?Lt Ai 4@? @4 Lu
|t U@T|ih t |L }i @ ?i}@|i @?tih |L |t ît|L?
ì ** ti |i uL**L?} ?L|L? 6Lh f + @ u?U|L? s G f $ + t t@_ |L Mi
Lu 5ihT
?t!~)}4?_ |)Ti u s mt t _tUL?|?Lt uLh iih) t f Lu U@h_?@*|) Uc
|i U@h_?@*|) Lu +
S
OA,+ e R# 5v,A+Wwwv AWNN5 6NAW5
.
Ai uL**L?} u@U| _itUhMit |i M@tU hi*@|L? Mi|ii? |iti U*@ttit Lu u?U|L?t
6@U| e wi| s G + $ + Wu |ihi i t|t f + Lu U@h_?@*|) U tU |@| s mf t
Lu 5ihT
?t!~)}4?_ |)Ti |i? s mf @?_ s @hi ?L| UL?|@M*) UL?|?Lt
hLLu Wu if? fG ? 5 j t @ ULih Lu f |i? |ihi i t|t ? 5 tU |@| f? @t
U@h_?@*|) U E5?Ui |i UL?@*|) Lu U t ?UL?|@M*i Atc s mf? t _tUL?|?Ltc
@t s mf t Lu 5ihT
?t!~)}4?_ |)Ti
e2
AiU?U@* wi44@t
Ai UL?t|hU|L? Thiti?|i_ Mi*L tc ? @ M} T@h|c M@ti_ L? |i |iU?î _ii*LTi_
M) *iM>! ? do W? T@h|U*@hc |i ?i | uLh *i44@t @hi |i 4L_U@|L?t Lu |ih
UL?|ihT@h|t uhL4 do
Ai ti| Lu Ui?|iht Lu t)44i|h) Lu @ ti| + ** Mi _i?L|i_ M) c ic
' i% 5 +G E;& 5 +E% n & 5 +, % & 5 j
6Lh @?) u?U|L? sG f $ + | f + |i t)4ML* Es ** t|@?_ uLh |i ti|
Lu UL?|?|) TL?|t Lu s @?_ (Es uLh |i ti| Lu TL?|t Lu _tUL?|?|) Atc
(Es ' + q Es wi44@ e2 wi| G + $ + Mi t)44i|hU@**) UL?|?Lt @?_ ik jkM Mi @ u@4*)
Lu _tL?| tMti|t Lu + tU |@| uLh iih) % 5 +
+*4
<% E+ ' f Lh % 5
_ k
kM
Wu ok 5 dfc o uLh iih) k 5 D |i? |i u?U|L?
s '
[ ok
kM
k
Ee
OA,+ e R# 5v,A+Wwwv AWNN5 6NAW5
H
t t)44i|hU@**) UL?|?Lt
hLLu At t @ 4L_U@|L? Lu dc wi44@ 2o 6ht| ?L|i |@| f SkM ok
k

t?Ui |i ti|t k @hi _tL?| wi| % 5 +
Wu *4+<% E+ ' f |i?
#
[
$
+*4
<% sE+ ' +*4
<% kM ok k E+ ' f
S
kM ok k t ML?_i_ Oi?Ui s t t)44i|hU@**) UL?|?Lt @| %
W
S
S
Wu % 5 kM k |i? kM ok k E% & ' kM ok k E% n & uLh iih) & 5 +c
t?Ui
@?_ tL
*4 s E% n & s E% & ' *4 dE% n & E% &o
&<f
& <f
[
kM
ok k E% n & ' f
Atc L?Ui @}@?c s t t)44i|hU@**) UL?|?Lt @| %
wi44@ e22 Wu C + t @? @__|i tM}hLT |i? C E2C n %
uLh iih)
% 5 C
hLLu wi| } 5 Cc @ 5 2C n %c @?_ K Mi @ TL?| t)44i|hU |L @ | hitTiU| |L }c
ic tU |@| @ n K ' 2} ì @i |L ThLi |@| K 5 2C n %
5Lc *i| 5 5 C Mi tU |@| @ ' 25 n % Ai?
K ' 2} @ ' 2} E25 n % ' 2E} 5 % n % 5 2C n %
t?Ui }c %c 5 5 C
wi44@ e2 Wu C + t @? @__|i tM}hLT |i? |i ti|t i2C n %G % 5 Cj uLh4
@ T@h||L? Lu C
OA,+ e R# 5v,A+Wwwv AWNN5 6NAW5
b
hLLu At t t| |i t@* ULti| _iUL4TLt|L? Lu C t?} |i tM}hLT 2C AL
tii | i T*U|*)c @tt4i |@| uLh tL4i %c + 5 C |ihi i t|t 5 5 E2C n % _ E2C n +
ì @i |L ThLi |@| 2C n % ' 2C n +c ic |@| % + 5 2C 5Lc *i| @c K 5 C Mi
tU |@| 5 ' 2@ n % ' 2K n + Ai? % + ' 2EK @ 5 2C
wi44@ e2e Aihi i t|t @ t)44i|hU@**) UL?|?Lt u?U|L? G + $ + | |i
ThLTih|) |@|
E E ' 3 Efc
E (E t @? @__|i tM}hLT Lu +c @?_
E |ihi i t|t @ tMti| f Lu (E Lu U@h_?@*|) U tU |@|
E2(E n % _ E2(E n + ' > sJo eeo+ _r|?S| %c + 5 f
hLLu *iM>! ? dc |4o UL?t|hU|i_ @ t)44i|hU@**) UL?|?Lt u?U|L?
G + $ + t@|tu)?} E @?_ E uLh U |ihi i t|t @ ti| f (E Lu U@h_?@*|)
U | |i ThLTih|) |@|
2(E n M 9' 2(E n M2 uLh iih) _t|?U| M c M2 f
W? T@h|U*@hc u % 5 f @?_ + 5 f @hi _t|?U| @?_ M ' i%jc M2 ' i+jc |i?
2(E n % ' 2(E n M 9' 2(E n M2 ' 2(E n +
5Lc M) wi44@ e2c E2(E n % _ E2(E n + ' >
S
4
q 4
k @ olpp$4 4 . p
lv frqwlqxrxv dw hyhu| srlqw
q@4 q vlq 6 {
4
4
4
+3,/ lpso|lqj wkdw k
+3, F +k,1 Krzhyhu k
+3, lv fohduo| ghqvh lq U1 +Iru h{dpsoh iru
ri k
S4 dl doo {*v lq wkh irup p .
l@4 6l / zkhuh p 5 ] dqg wkh qxpehuv dl 5 i3> 4> 5j duh hyhqwxdoo|
4 Fkohe
n
htxdo 41,
uhpdunv rqo| wkdw
OA,+ e R# 5v,A+Wwwv AWNN5 6NAW5
e
ef
@? hit*|
AiLhi4 e Aihi i t|t @ t)44i|hU@**) UL?|?Lt u?U|L? s G + $ + @?_ @
tMti| f Lu + Lu U@h_?@*|) U tU |@| smf t Lu @ 5ihT
?t!~)}4?_ |)Ti
hLLu wi|
G ' ikCc }l G C t @ CB tMti| Lu + @?_ }G C $ + t UL?|?Ltj
@?_ *i| ikCk c }k l G k Uj Mi @? i?4ih@|L? Lu G *tLc *i| G + $ + @?_ f Mi
uhL4 wi44@ e2e U! @ L?i|LL?i i?4ih@|L? i%k G k Uj Lu f
) |h@?t?|i ?_U|L? L? k U _i?i @ tiî?Ui Lu hi@* ?4Miht iok G k Uj
tU |@| |i uL**L?} ?_U|i UL?_|L? t t@|ti_ uLh iih) k UG
+
,
}q E%k ok 5 dfc o q
G q k : %k 5 Cq E%k Ee2
EL|i |@| E%k 9' f t?Ui %k 5 (E ' + q 3 Ef
L *i| k ' 2(E n %k uLh iih) k U @?_ ?L|Ui |@|c M) wi44@ e2ec |i
ti|t ik G k Uj @hi _tL?| #i?i
s '
[
kU
ok k Atc s t @ i** _i?i_ hi@* u?U|L? LhiLihc M) wi44@ e22c
(E _
kU
E2(E n %k '
_
kU
k c
t?Ui (E t @? @__|i tM}hLT Lu + 5Lc M) wi44@ e2c s t t)44i|hU@**)
UL?|?Ltc t?Ui + q (E ' E ' 3 Efc 4T*)?} Ee W| hi4@?t |L tL
|@| t s mf t Lu 5ihT
?t!~)}4?_ |)Ti
OA,+ e R# 5v,A+Wwwv AWNN5 6NAW5
e
6Lh |tc M) @) Lu UL?|h@_U|L?c @tt4i |@| |ihi i t|t t f Lu U@h_?@*|)
U tU |@| s mt t UL?|?Lt Ai? |ihi i t|t @ CB ti| C + UL?|@??} t @?_
@ UL?|?Lt u?U|L? }G C $ + tU |@| }mt ' s mt W? T@h|U*@hc k}c Cl 5 Gc
@?_ |ihi i t|t @ q U tU |@| k}c Cl ' k}q c Cq l *tLc t?Ui t @t U@h_?@*|)
Uc |ihi i t|t @? k Uc k qc tU |@| %k 5 t | E%k 9' fc t?Ui %k 5 f (E ' + q E ' + q 3 Ef 5Lc M) Ee2 @?_ |i u@U| |@| %k 5 k c
s E%k ' E%k ok 9' E%k }q E%k ' }q E%k ' }E%k E%k UL?|h@_U|?} }mt ' s mt LhL**@h) e2 Aihi t @ t)44i|hU@**) UL?|?Lt u?U|L? s G + $ + U t
?L| UL?|@M*) UL?|?Lt
hLLu ) AiLhi4 e @?_ 6@U| e
L|Ui @*tL |@| ? 6@U| e @?_ LhL**@h) e2 i U@? UL?U*_i @*tL |@| s
t ?L| VUL?|?Lt E|i }h@T Lu s U@??L| Mi ULihi_ M) |i }h@Tt Lu V 4@?)
UL?|?Lt u?U|L?t ihi V t *itt |i? |i UL?@*|) Lu U
W| t @*tL Lh| |L 4i?|L? |@| ?i|ih *iM>!<t |iLhi4 ?Lh LhL**@h) e2
U@? Mi }i?ih@*3i_ uLh |i U*@tt Lu t)44i|hU@**) _gihi?|@M*i u?U|L?tc ic |i
u?U|L?t s G + $ + uLh U |i *4|
s E% n & s E% &
& <f
2&
*4
Ee
i t|t @?_ t ?|i uLh iih) % 5 + At uL**Lt uhL4 AiLhi4 D2c t?Ui |i ti|
(Es uLh iih) tU u?U|L? t @| 4Lt| UL?|@M*i ? |i L|ih @?_c i _L ?L|
!?L i|ih |i t@4i t |hi u i @**L |i *4| Ee |L Mi ??|i
OA,+ e R# 5v,A+Wwwv AWNN5 6NAW5
ee
e2
L?|?|) U@h_?@*
6Lh @ U@h_?@* ?4Mih V i ** h|i UuEV uLh |t UL?@*|) Ai u?U|L?t @hi
_i?|i_ | |ih }h@Tt Ai U*@tt Lu @** u?U|L?t uhL4 + ?|L + t _i?L|i_ M)
++ Ai U*@tt Lu @** UL?|?Lt u?U|L?t t _i?L|i_ M) F ) 5U i _i?L|i |i
u@4*) Lu @** t)44i|hU@**) UL?|?Lt u?U|L?t
#i?|L? ee 6Lh @?) u@4*) Lu u?U|L?t I ++ i _i?i _iUEIc F @t |i
4?4@* U@h_?@* ?4Mih V tU |@| iih) s 5 I U@? Mi ULihi_ M) V 4@?) UL?|?
Lt u?U|L?t hc i^@*i?|*)c |@| + U@? Mi T@h||L?i_ ?|L V 4@?) tMti|t fk
@?_ smfk t UL?|?Lt uLh iih) k V
W? |t tiU|L? i ** Thiti?| |i ThLLu Lu |i uL**L?} |iLhi4
AiLhi4 ee2 Eiti*t!c 53)t3!Lt!c tii deo _iUE5Uc F ' _iUE++ c F
At tLt |@| t)44i|hU@**) UL?|?Lt u?U|L?t U@? Mi ^|i Rhhi}*@h _itT|i
|i u@U| |@| |i) @hi UL?|?Lt @*4Lt| iih)ihi
Lhi ?|ihit|?} u@U|t @i Mii? ThLi? ? deo Ai uL**L?} |L |iLhi4t **
?L| Mi ti_ *@|ih M| |i) ti_ @ ?i *}| L? AiLhi4 ee2
AiLhi4 ee _iUE5~c F ' _iUE++ c F
AiLhi4 eee E@ W| t UL?tt|i?| | ~6 |@| UuEU U ' _iUE++ c F
EM W| t UL?tt|i?| | ~6 |@| _iUE++ c F ' UuEU U
W? Lh_ih |L ThLi AiLhi4 ee2 i ** tL |i uL**L?} u@U| |@| t Lu ?|ihit|t
M) |t L?
OA,+ e R# 5v,A+Wwwv AWNN5 6NAW5
e
hLTLt|L? eeD Aihi i t|t @ TihuiU| ti| + | |i ThLTih|) |@| uLh iih)
sf G $ dfc o |ihi t @ t)44i|hU@**) UL?|?Lt u?U|L? s G + $ + i |i?_?} sf hLLu ì @TT*) ihi wi44@t e2 @?_ e2e Ai ThLLu t @ UL4T*@|L? Lu |i
hit*|t UL?|@?i_ ? d53o @?_ do ì 4t| |@!i @ U*Ltih *LL! @| wi44@ e2
@4i*)c i @?| |L tL |@| |i ti| f _i?i_ |ihi U@? UL?|@? @ TihuiU| ti|
AL@h_t |i UL?t|hU|L? Lu |i ti| f uhL4 wi44@ e2e *iM>! ? dc |4 o
_i?it |i uL**L?} Oi |@!it @? @hM|h@h) *?i@h M@tt K Efc o Lu + Lih "
| 5 Kc T|t \ ' K q ijc @?_ _i?it f ' Z d\o uLh @ UL?|?Lt ?iU|L?
G Efc o q " $ Efc }i? M) |i uLh4*@
"
[
E% '
>& 3
ihi % '
S"
&' >&
&'
E2& n
c
Eee
23& c | >& 5 ifc jc t |i ?î M?@h) hiThiti?|@|L? Lu %
AL ThLi hLTLt|L? eeD i ?ii_ @*tL |L @__|L?@* u@U|t |@|
E t Lu @hi U*@tt L?i E@t TTih ti4UL?|?Ltc @?_ |@|
E f t @ UL?|?Lt 4@}i Lu K q ijc ihi K t @? @hM|h@h) *?i@h M@tt Lu +
Lih " | 5 K Efc o
Lc |@!i @ TihuiU| ti| g dfc o U t *?i@h*) ?_iTi?_i?| Lih " E5ii
i} dkc |4 2c jW tiU .o #iUhi@t?} |c u ?iUitt@h)c i U@? @tt4i |@|
t *?i@h*) ?_iTi?_i?| Lu g EWu | t ?L|c |@!i @ ?|i tMti| Lu g U tT@?t
@?_ hiT*@Ui g M) |t TihuiU| tMti| _tL?| | Atc |ihi i t|t @ *?i@h
M@tt K Efc o Lu + Lih " tU |@| ij ^ g K W? T@h|U*@hc ff ' dgoc
ihi t _i?i_ ? Eeec t @ TihuiU| tMti| Lu f ' dK q ijoc tL | t@|tit E
uhL4 wi44@ e2e
OA,+ e R# 5v,A+Wwwv AWNN5 6NAW5
ee
Lc mff @t @ TL?| Lu UL?|?|)c t@) %f 5 ff c t?Ui t Lu @hi U*@tt L?i
E5ii i} dho 5?Uic %f 5 f (E ' + q 3 Ef i @i E%f 9' f Atc i
U@? |@!i @ TihuiU| tMti| Lu ff uLh U d o dKc o uLh tL4i K : f ì **
tL |@| t@|tit hLTLt|L? eeD
AL tii | ?L|i |@| M) wi44@ e2 ti_ | f ' |i u?U|L?
[

oE+2(En+ E%
s E% ' E% K
+ M
t t)44i|hU@**) UL?|?Lt uLh @?) u?U|L? oG $ dfc o LhiLihc s E% ' K E% oE% uLh iih) % 5 t?Ui % 5 2(E n % E(E t @ }hLT At _i??} o M)
oE% '
K
sf E% sf E%
E%
i LM|@? |@| oG $ dfc o @?_

sE% ' E% oE% ' sf E%
K
uLh iih) % 5 At ?tit |i ThLLu Lu hLTLt|L? eeD
hLLu Lu AiLhi4 ee2 *i@h*) _iUE5Uc F _iUE++ c F AL ThLi |i L|ih
?i^@*|) |@!i @? @hM|h@h) } 5 ++ @?_ *i| V ' _iUEi}jc F W| t i?L} |L ThLi
|@|
V _iUE5Uc F
EeD
Wu V / |@? EeD uL**Lt uhL4 UuEU _iUE5Uc F 5Lc i U@? @tt4i |@| V
t ?UL?|@M*i *tLc u ) t @ L4iL4LhTt4 Mi|ii? + @?_ Efc |i? | t
i@t) |L tii |@| _iUEi}jc F ' _iUEi) }jc F 5Lc i U@? @tt4i |@| }G + $
Efc LhiLihc u Q ' + q " |i? V ' _iUEi}jc F ' _iUEi}mQ jc Fc t?Ui V t
?UL?|@M*i
OA,+ e R# 5v,A+Wwwv AWNN5 6NAW5
eD
wi| ) Mi @ L4iL4LhTt4 Mi|ii? Q @?_ @ tMti| Lu c ihi t uhL4
hLTLt|L? eeDc @?_ _i?i sf G $ dfc o M) sf ' } )3 ?Ui @}@? | t i@t)
|L tii |@| V ' _iUEi}jc F ' _iUEisf jc F Lc u s t @ t)44i|hU@**) UL?|?Lt
u?U|L? i |i?_?} sf c U i t|t M) hLTLt|L? eeDc |i?
V ' _iUEisf jc F _iUEis jc F _iUE5Uc F
ThL?} EeD Ai ThLLu Lu AiLhi4 ee2 t UL4T*i|i
@T|ih D
5)44i|hU _ih@|i
D
5)44i|hU @?_ Lh_?@h) _ih@|it
6L**L?} |i Lh_?@h) @?@*)ttc t)44i|hU @?@*)tt t|_it @*tL t)44i|hU _gihi?
|@|L? W? 4@?) U@tit |i t)44i|hU |iLh) hiti4M*it |i Lh_?@h) _gihi?|@|L?
|iLh) L? |i hi@* *?i Oihi i Thiti?| tL4i @tTiU|t Lu t)44i|hU _gihi?|@|L?c
t|hitt?} ? T@h|U*@h t)44i|hU _gihi?|@|L? uLh |i u?U|L?t _i?i_ L? tMti|t
Lu |i hi@* *?i
t i TiU|i_c |i t)44i|hU _ih@|i t _i?i_ @t uL**Lt
#i?|L? D ì t@) |@| @ u?U|L? s G + $ + t t)44i|hU@**) _gihi?|@M*i
@| @ TL?| % 5 + u |i *4|
s E% n s E% <f
2
*4
i t|t @?_ t ?|i Eì tL4i|4it @**L @*tL ??|i @*it Ai @*i Lu |t
*4| t U@**i_ |i t)44i|hU _ih@|i Lu s
u ULhti |i t)44i|hU _gihi?|@M*|) t t|hL?}ih |i? t)44i|hU UL?|?|) ?
L*_ |iLhi4 Lu @h3)
?t! t|@|it L L?i UL?_|L? 4T*it @?L|ih
eS
OA,+ D 5v,A+W #,+WVAWV,
e.
AiLhi4 D2 E@h3)
?t! dA2c |4 2bo wi| |i u?U|L? s E_i?i_ L? |i
L*i hi@* *?i t@|tu) @| iih) TL?| % |i UL?_|L?
s E% n s E% 4
*4 tT
2
<f
Ai? |i ti| Lu TL?|t Lu _tUL?|?|) Lu s t UL?|@M*i
Eì ** UL44i?| L? |t |iLhi4 @u|ih ?|hL_U?} #i?|L? DS
AL **t|h@|i |i hiti4M*@?Ui |L |i Lh_?@h) _ih@|i i t|@|i @ ui 4L?L
|L?U|) |iLhi4t
AiLhi4 D dA2c ULh D2o wi| |i u?U|L? sG + $ + @i TLt|i t)44i|hU
_ih@|i iih)ihi Ai? s t ?Uhi@t?} L? |i ti| Lu |t TL?|t Lu UL?|?|)
Lhi ThiUti*) |ihi t @? ?Uhi@t?} u?U|L? } tU |@| s @}hiit | } L? |t
TL?|t Lu UL?|?|)
AiLhi4 De dA2c |4 DDo wi| |i u?U|L? s G + $ + @i TLt|i t)44i|hU
_ih@|i iih)ihi L? @ 4i@th@M*i ti| . Ai? s t *LU@**) ?Uhi@t?} @| @*4Lt|
iih) TL?| Lu . Eic @*4Lt| iih) TL?| % Lu . @t @ ?i}MLhLL_ L tU |@|
i?iih + % 5 @?_ +c 5 5 L |i? sE+ s E% sE5
AiLhi4 DD dA2c |4 Deo wi| |i u?U|L? s G + $ + @i TLt|i t)44i|hU
_ih@|i L? @ ti| . |@| @t |i @hi ThLTih|) Ai? |ihi t @? LTi? ti| C tL
|@| . q C t 4i@}ih @?_ s t ?Uhi@t?} L? i@U UL4TL?i?| Lu C
Lc *i| t |h? |L u?U|L?t _i?i_ L? tMti|t Lu +
OA,+ D 5v,A+W #,+WVAWV,
eH
#i?|L? DS wi| + ì t@) |@| @ u?U|L? sG $ + t t)44i|hU@**)
_gihi?|@M*i @| @ TL?| % 5 + u |i *4|
s E% n s E% <f
2
*4
i t|t @?_ t ?|ic |@!?} uhL4 |i ti| i 5 + G % 5 j Eì @tt4i |@| |t
ti| @t @? @UU4*@|L? TL?| @| f ì tL4i|4it @*tL @**L ??|i @*it
L| thTht?}*)c ? }i?ih@* U@tic @** |iLhi4t uLh |i u?U|L?t L? |i L*i
hi@* *?i _L ?L| L*_ uLh |i u?U|L?t _i?i_ L?*) L? @ tMti| Lu + 6Lh i @4T*ic
AiLhi4 D2 u@*tc uLh u i *LL! @| , @4T*i 22c i tii |@| |ihi t @ u?U
|L? s _i?i_ L? @ t)44i|hU ti| U @t t)44i|hU _ih@|i i^@* f M| | t
_tUL?|?Lt iih)ihi
LhiLihc M) wi44@ . Eti_ | ' + i @i |i uL**L?} u@U|
6@U| D. Aihi t @ ti| f + tU |@| uLh @?) u?U|L? s G + $ d4c 4o
|ihi t @ u?U|L? }G f $ + U t t)44i|hU@**) _gihi?|@M*i @?_ |t t)44i|hU
_ih@|i t i^@* |L s
EL|i |@| i ti ihi |i u@U| |@| @ u?U|L? ?ii_ ?L| Mi _i?i_ @| @ TL?| |L Mi
t)44i|hU@**) _gihi?|@M*i |ihi
hLLu ) wi44@ . ti_ | ' + i !?L |@| |ihi t @ ti| f U t
@ ?L? Lu T@hti _tL?| ti|t
V
@ @
?/ i%? c +? jc
| @ 5 +c tU |@| |i tiî?Uit
i%@? j? @?_ i+?@ j? @hi UL?ih}i?| |L @ @?_ t)44i|hU |L i@U L|ih | hitTiU| |L @
@ 3 } E+ @ ? $ s Ek ?tit |i ThLLu
L _i??} } L? %@? @?_ +?@ tL |@| }E%%?@3
? +?@
L|i |@| |i ti| f 4@) Mi @__|L?@**) ULti? |L Mi Lu 4i@thi 3ihL @?_ Lu |i
ht| U@|i}Lh) At uL**Lt uhL4 |i UL44i?| MiuLhi wi44@ .
OA,+ D 5v,A+W #,+WVAWV,
eb
iU@ti Lu tU i @4T*it i ** h@|ih UL??i Lhti*it |L t)44i|hU _L4@?t
Ei UiT| ? AiLhi4t Dfc Dbc @?_ D2e OLiihc ii? |t hit|hU|L? _Lit
?L| i*T 4U Ai _h@4@|U u@*hi Lu AiLhi4t De @?_ DD t **t|h@|i_ M)
, @4T*i 22 W? |t i @4T*i u?U|L? s t _i?i_ L? @ t)44i|hU ti| @?_ t
t)44i|hU@**) _gihi?|@M*i | |i t)44i|hU _ih@|i Mi?} 3ihL iih)ihi L?
|i _L4@? vi| s @t L?*) @*it f @?_ tL t ?L| 4L?L|L?U ? @?) ti?ti ì 4@)
i@t*) RULhhiU| s |L @i TLt|i _ih@|i EuLh i @4T*i M) @__?} |i _i?||)
u?U|L? hit|hU|i_ |L |i _L4@? Lu sc @?_ LM|@? @ ?L??Uhi@t?} u?U|L?
At i @4T*i t @U|@**) ?L| thTht?} @t ii? uLh |i Lh_?@h) _ih@|i i
@i |i uL**L?} u@U|
6@U| DH 6Lh @?) u?U|L? s G " $ + |ihi t @ _gihi?|@M*i u?U|L? }G " $ +
E| _gihi?|@M*|) _i?i_ ? @? LMLt @) tU |@| } ' s hLLu wi| " ' i%? G ? 5 /j #i?i }f G " $ + M) T||?} }f Eo ' Eo %f s E%f s
s
uLh mo %f m 2 @?_ }f Eo ' f uLh mo %f m : 2
ì _i?i u?U|L?t }? G " $ + ?_U|i*) ? |i uL**L?} @)
}? Eo ' Eo %? s E%? n }? E%? uLh o tL U*Lti |L %? |@|
3
mo %? m
?
s
2 4?im%? %& mG & ?jc
ms E%? Eo %? m
?
ms E%? Eo %? m
? c
4?im%? %& mG & ?jc
@?_ }? Eo ' }? Eo uLh L|ih o
3
Lc |i u?U|L? } ' *4 }? t @ _ithi_ u?U|L? AL tii |t UL?t_ih uLh
i @4T*i |i TL?| %f Ai _ih@|i Lu }f @| %f t LMLt*) sE%f @?_ iih) }? E%f '
OA,+ D 5v,A+W #,+WVAWV,
Df
}f E%f ' f 6 @? 0 : f @?_ ?_ ht| ? 5 / tU |@| m%? %f m 0 ì @i
}?3 Eo ' }f Eo uLh o 5 %f 20 c %f n 20 ì @*tL @i }?3 Eo ' }? Eo uLh o U*Lti
|L %f 6Lh o U*Lti |L %? i @i |@| }? Eo _giht uhL4 }?3 Eo ' }f Eo M) @| 4Lt|

?
4?im%? %& m G & ?j
? mo
%f m @?_ uLh |iti o<t @?) L|ih }& | & : ?
S
_giht uhL4 }f Eo M) ?L| 4Lhi |i? &D? & mo %f m ' 2? mo %f m 5L
}Eo }E%f o %f
_giht uhL4 s E%f ?L| 4Lhi |@?
2
? Ai U@*U*@|L?t ? @?) L|ih TL?| %? @hi |i t@4i
W? UL?|h@t| |L |i @MLic i? |@!?} |i _L4@? U t RM} @?_ ?Ui i?L}c
i _L @i TLt|i hit*|t t4*@h |L AiLhi4t De @?_ DD Ai uL**L?} |iL
hi4t @hi }i?ih@*3@|L?t Lu |iti |L
AiLhi4 Db wi| |i u?U|L? s G . $ +c ihi . @t |i @hi ThLTih|)c @i
TLt|i t)44i|hU _ih@|i iih)ihi L? |i ti| . Ai? |ihi t @? LTi? ti| C
tL |@| . q C t 4i@}ih @?_ s t ?Uhi@t?} L? i@U UL4TL?i?| Lu C
hLLu Ai ThLLu t |i hiTi||L? Lu |i ThLLu Lu AiLhi4 22. ì L?*) ?ii_
i |h@ UL?_|L? |@| |i ?|ih4i_@|i TL?|t % c ' c 2c c e 4@) Mi ULti? |L uLh4
@ 4L?L|L?U tiî?Ui Etii |i UL44i?| @u|ih AiLhi4 2S
wi|
+
,
s E% n | sE% |
T ' d% |c % n |oG % | 5 . ,
:f
2|
Mi @ t)44i|hU ULih hi*@|L? L? . At hi*@|L? t@|tit @tt4T|L? Lu AiL
hi4 2S 5L uLh @*4Lt| iih) % 5 . |ihi t @ ?i}MLhLL_ L% tL |@| % n | 5
L% , d%c % n |o 5 T D @?_ ?|ih4i_@|i i?_TL?|t @hi ? . 5@) |@| i ULLti | : f
OA,+ D 5v,A+W #,+WVAWV,
D
Aihi @hi TL?|t %f ' % % %D ' % n | tU |@| % 5 . uLh ' c 2c c e
@?_ d% c %n o 5 T uLh ' fc c e AihiuLhi sE% n | s E% : f tL s t ?Uhi@t?}
@| @*4Lt| iih) TL?| Lu .
AiLhi4 Df wi| |i u?U|L? s G . $ +c ihi . t 4i@th@M*ic @i TLt|i
t)44i|hU _ih@|i iih)ihi L? |i ti| . Ai? s t *LU@**) ?Uhi@t?} @| @*4Lt|
iih) TL?| Lu .
hLLu Ai ThLLu Lu |t |iLhi4 t _i?|U@* |L |@| uLh AiLhi4 Db
D2
i@th@M*|) Lu t)44i|hU _ih@|it
Ai Lh_?@h) _ih@|i ELu u?U|L?t _i?i_ L? + t @*@)t @ @hi u?U|L? 5L
t |i U@ti | t)44i|hU _ih@|i uLh u?U|L?t uhL4 + |L +
AiLhi4 D2 Ew@htL? dA2c |4 .Ho wi| |i u?U|L? sG + $ + Mi iih)ihi
t)44i|hU@**) _gihi?|@M*i E@**L?} ??|i @*it Ai? |i t)44i|hU _ih@|i
Lu s t ? |i ht| @hi U*@tt
6Lh t)44i|hU _L4@?t ?L| Mi?} |i L*i + i @i 6@U| DHc M| ?L|i |@|
? |t u@U| |i u?U|L? s t @hi hi*@|i*) |L " ì _L ?L| !?L i|ih
t)44i|hU _ih@|i 4t| Mi Lu @?) Lhi* Lh 4i@th@M*i U*@tt i? _i?i_ L? @?)
L|ih _L4@?
"it|L? D22 wi| sG $ + Mi @ t)44i|hU@**) _gihi?|@M*i u?U|L? @?_ *i| Mi @ t)44i|hU ti| Wt |i t)44i|hU _ih@|i Lu s @ Lhi* Lh 4i@th@M*i u?U|L?q
#Lit | _iTi?_ L? |i t3i Lu q
OA,+ D 5v,A+W #,+WVAWV,
D2
, @4T*i 22c U tihi_ @t @ UL?|ihi @4T*i ? 4@?) U@titc u@*t |t |4i
,i? |L} |i u?U|L? s _i?i_ |ihi t ?L?4i@th@M*ic | t t)44i|hU@**)
_gihi?|@M*i @?_ |t t)44i|hU _ih@|i t UL?t|@?| i^@* 3ihL iih)ihi L? |i
_L4@?
ì? |i _L4@? t 4i@th@M*i Ei _hLT |i @tt4T|L? Lu t)44i|h)c |i?
|t t)44i|hU _ih@|i t 4i@th@M*i At uL**Lt uhL4 @ |iLhi4 Lu hitt @?_
AL4tL? EdA2c |4 .Dfo | L?*) 4?Lh U@?}it |L |i ThLLu W? u@U|c 4U
4Lhi U@? Mi t@_ @ML| |i t)44i|hU _ih@|i ? |t U@ti Lh i? |i _L4@?
@t |i @hi ThLTih|)
AiLhi4 D2 wi| s G $ + Mi @hM|h@h) u?U|L? @?_ *i| 5#s @?_ #s t|@?_
uLh |i ti|t Lu t)44i|hU _gihi?|@M*|) @?_ Lh_?@h) _gihi?|@M*|) hitTiU|i*)
Ai? |i ti| 5#s q#s UL?|@?t ?L 4i@th@M*i ti| Lu TLt|i 4i@thi @?_ ?L tiUL?_
U@|i}Lh) ti| | |i @hi ThLTih|)
hLLu Ai ThLLu t t4*@h |L |i ThLLu Lu AiLhi4t Df @?_ Db
ì tL |@| ? @*4Lt| iih) TL?| Lu 5#s |i Lh_?@h) _ih@|i Lu s t ?L|
}hi@|ih |@| |i t)44i|hU _ih@|i @| |t TL?| W_i?|U@* @h}4i?| U@? Mi ti_
|L tL |i UL?ihti ?i^@*|)
wi| }E% Mi |i t)44i|hU _ih@|i Lu s @?_ *i| E% Mi |i TTih *4| Lu
_gihi?Ui ^L|i?|t Ai ti| i%G }E% E%j U@? Mi h||i? @t @ UL?|@M*i ?L?
^ i%G }E% o E%j
oM
"
) |i @) Lu UL?|h@_U|L? @tt4i |@| L?i Lu |i ti|t ? |i ?L? UL?|@?t @
4i@th@M*i tMti| Lu TLt|i 4i@thi Lh tiUL?_ U@|i}Lh) tMti| | |i @hi
OA,+ D 5v,A+W #,+WVAWV,
D
ThLTih|) W? T@h|U*@h |ihi i t|t @ ?4Mih g | |i ThLTih|) |@| |i ti|
f ' i%G }E% gj q i%G E% gj t i|ih 4i@th@M*i Lu TLt|i 4i@thi Lh
tiUL?_ U@|i}Lh) | |i @hi ThLTih|)
ì _i?i @ t)4i|hU ULih Lu f M)
T ' id% |c % n |oG | : f : % | 5 , s E% n | s E% | 2g|j Ai? T t@|tit UL?_|L?t Lu AiLhi4t 2D Lh 2S 5L t| *!i ? |i ThLLu
Lu AiLhi4 Db i }i| |@| @*4Lt| iih) TL?| % Lu f t@|tit uLh | : f @?_
@TThLTh@|i*) t4@**
% | 5 , Es E% n | s E% g| : sE% s E% | g|
At @| @*4Lt| iih) TL?| Lu f ? |i ti?ti Lu 4i@thi @?_ U@|i}Lh) i @i
E% gc U UL?|h@_U|t Lh @tt4T|L? Lu |i ti| f Mi?} M}
t @ ULhL**@h) i }i| |@| u s G $ + t t)44i|hU@**) _gihi?|@M*i @?_ t 4i@th@M*i E@t |i @hi ThLTih|) |i? s t @*4Lt| iih)ihi EL? @ hit_@*
ti| _gihi?|@M*i @*tL ? |i Lh_?@h) ti?ti 5L i LM|@? @ ULhL**@h) U t @
UL?|ihT@h| |L AiLhi4 D2 ì t|@|i |i U@|i}Lh) |iLhi4 L?*) @t | t t4*@h |L
AiLhi4 D2 E|i 4i@thi UL|ihT@h| hi^hit _gihi?| 4i|L_ |L Mi ThLi?
AiLhi4 D2e wi| s G . $ +c ihi . @t |i @hi ThLTih|)c Mi t)44i|hU@**)
_gihi?|@M*i E@**L?} ??|i @*it Ai? |t t)44i|hU _ih@|i @t |i @hi
ThLTih|)c @?_ |ihi t @ 4i@}ih ti| A . tU |@| |i t)44i|hU _ih@|i hi
t|hU|i_ |L . q A t Lu @hi U*@tt
ì hi4@h! |@| AiLhi4 D2e U@? Mi 4ThLi_ |L |i L*i _L4@? @t 6@U|
D. t|@|it |@| L? @ ti| Lu 4i@thi 3ihL @?_ ht| U@|i}Lh) t)44i|hU _ih@|i
4@) Mi @?) u?U|L?
M*L}h@T)
dio
w i*?@c 5)44i|hU UL?|?|) Lu hi@* u?U|L?tc hLU 4ih @| 5LU
H. EbHc bbf2
dho
hU!?ihc #gihi?|@|L? Lu +i@* 6?U|L?tc + 5ihit L* Dc 4ih
@| 5LUc bbe
do
*iM>!c Aihi @hi 2U t)44i|hU@**) UL?|?Lt u?U|L?tc hLU 4ih
@| 5LU Ebbc SHSHH
do
k iti*t!c ? h@?}i Lu ?uLh4*) @?|t)44i|hU u?U|L?tc +i@* ?@*
, U@?}i b Ebbbec SSSb
d2o
k iti*t!c 5i| AiLh) uLh |i `Lh!?} @|i4@|U@?c wL?_L? @| 5LU
5|_i?| Ai |t bc @4Mh_}i N? hitt bb.
do
k iti*t!c 5i| AiLhi|U +i@* ?@*)ttc a TT* ?@* E2 Ebb.c e
bf
deo
k iti*t!c #iUL4TLt?} t)44i|hU@**) UL?|?Lt @?_ 5ihT
?t!
~)}4?_ u?U|L?t ?|L UL?|?Lt u?U|L?tc hLU 4ih @| 5LU 2
Ebbbc SDS22
De
WwWB+Ov
dwo
DD
k iti*t!c w w@htL?c N?uLh4*) @?|t)44i|hU u?U|L?tc +i@* ?@* , U@?}i bE Ebbbec 22S2D
d5o
k iti*t!c 5 5i*@c N?uLh4*) @?|t)44i|hU u?U|L? | ML?_i_
h@?}ic +i@* ?@* , U@?}i 2eE2 EbbHbbc SDSb
d53o
k iti*t!c 53)t3!Lt!c t)44i|hU@**) UL?|?Lt u?U|L? U t
?L| UL?|@M*) UL?|?Ltc +i@* ?@* , U@?}i 22 EbbSb.c e2He2
d6ho
O 6hi_c NMih
_i t)44i|htUi 5|i|}!i| L? 6?!|L?i?c 6?_ @| 2b
Eb.c e.
da5o
a a@t!p*@c 53!LT
?t!@c ? |i ti| Lu TL?|t Lu t)44i|hU UL?|?|)c ?
N? Uhit| @| . EbHHc 2bD
dko
kU34@c ? W?|hL_U|L? |L |i AiLh) Lu 6?U|L?@* ,^@|L?t @?_
W?i^@*|itc L*t 5Ui?|U M*tiht `c `@ht@ bHD
dko
k kh@|Lt!c ALTL*L})c VL* Wc U@_ hittc i vLh!c vc bSS
dwo
w w@htL?c 5)44i|hU@* @?@*)ttG @ thi)c +i@* ?@* , U@?}i b EbHHec
De.H
do
L!c Th@|i UL44?U@|L?
dio
W it?c ? |i 4i@th@M*|) Lu t)44i|hU@**) UL?|?Lt u?U|L?tc AiLh
6?!|tY> 6?!|tL?@* ?@* h*L3i? D EbS.c bbf
dho
# hittc ?L|i L? t)44i|hU@**) UL?|?Lt u?U|L?tc @tLTt
it| @|
bS Eb.c 2S22Se
WwWB+Ov
d5~o
DS
, 5|i?c ~)}4?_c ? |i _gihi?|@M*|) Lu u?U|L?tc 5|_@ @|
2 EbSfc 2bDf.
d53o
53)t3!Lt!c L?|t Lu i@! t)44i|hU UL?|?|)c +i@* ?@* , U@?}i
2e EbbHbbc Hf.H
d532o
53)t3!Lt!c 5)44i|hU@**) UL?|?Lt u?U|L?t L? ThLTih tMti|t Lu |i
hi@* *?ic +i@* ?@* , U@?}ic |L @TTi@h
dAo
5 AL4tL?c +i@* 6?U|L?tc 5Th?}ihVih*@}c wiU|hi L|it ? @|
.fc bHD
dA2o
5 AL4tL?c 5)44i|hU ThLTih|it Lu hi@* u?U|L?tc @hUi* #i!!ihc bbe
dNo
a Nihc 5)44i|hU UL?|?|) 4T*it UL?|?|)c Ah@?t 4ih @| 5LU
2b EbHSc e2e2b

Download Report

Symmetrically Continuous Functions - WVU Math Department

Paperzz.com

Your Paperzz