Liquidity Crises in Emerging Markets: Theory and Policy

econstor
A Service of
zbw
Make Your Publications Visible.
Leibniz-Informationszentrum
Wirtschaft
Leibniz Information Centre
for Economics
Chang, Roberto; Velasco, Andres
Working Paper
Liquidity crises in emerging markets: Theory and
policy
Working Paper, Federal Reserve Bank of Atlanta, No. 99-15
Provided in Cooperation with:
Federal Reserve Bank of Atlanta
Suggested Citation: Chang, Roberto; Velasco, Andres (1999) : Liquidity crises in emerging
markets: Theory and policy, Working Paper, Federal Reserve Bank of Atlanta, No. 99-15
This Version is available at:
http://hdl.handle.net/10419/100729
Standard-Nutzungsbedingungen:
Terms of use:
Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen
Zwecken und zum Privatgebrauch gespeichert und kopiert werden.
Documents in EconStor may be saved and copied for your
personal and scholarly purposes.
Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle
Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich
machen, vertreiben oder anderweitig nutzen.
You are not to copy documents for public or commercial
purposes, to exhibit the documents publicly, to make them
publicly available on the internet, or to distribute or otherwise
use the documents in public.
Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen
(insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten,
gelten abweichend von diesen Nutzungsbedingungen die in der dort
genannten Lizenz gewährten Nutzungsrechte.
www.econstor.eu
If the documents have been made available under an Open
Content Licence (especially Creative Commons Licences), you
may exercise further usage rights as specified in the indicated
licence.
Liquidity Crises in Emerging Markets: Theory and Policy
Roberto Chang and Andres Velasco
Working Paper 99-15
October 1999
Working Paper Series
Liquidity Crises in Emerging Markets: Theory and Policy
Roberto Chang and Andres Velasco
Federal Reserve Bank of Atlanta
Working Paper 99-15
October 1999
Abstract: We build a model of financial sector illiquidity in an open economy. Illiquidity is defined as
a situation in which a country’s consolidated financial system has potential short-term obligations that
exceed the amount of foreign currency available on short notice. We show that illiquidity is key in the
generation of self-fulfilling bank and/or currency crises. We discuss the policy implications of the model
and study issues associated with capital inflows and the maturity of external debt, the role of real
exchange depreciation, options for financial regulation, fiscal policy, and exchange rate regimes.
JEL classification: F3, E5, G2
Key words: crises, financial systems, exchange rate systems, liquidity
This paper is forthcoming in the NBER Macroeconomics Annual 1999. The authors thank Philippe Aghion, Abhijit
Banerjee, Ben Bernanke, Dean Corbae, Laura Hastings, Julio Rotemberg, Nouriel Roubini, Aaron Tornell, Chris
Waller, and seminar participants at Harvard, Yale, the University of Kentucky, and the University of Pittsburgh
for useful comments. Velasco acknowledges support from the C.V. Starr Center for Applied Economics at NYU. The
views expressed here are the authors’ and not necessarily those of the Federal Reserve Bank of Atlanta or the
Federal Reserve System. Any remaining errors are the authors’ responsibility.
Please address questions regarding content to Roberto Chang, Research Officer, Federal Reserve Bank of Atlanta,
104 Marietta Street, NW, Atlanta Georgia 30303-2713, 404/521-8057, [email protected]; or Andres Velasco,
Professor of Economics, New York University, 269 Mercer Street, 7th floor, New York, New York 10003, 212/9988958, [email protected].
To receive notification about new papers, please use the publications order form on this Web site, or contact the
Public Affairs Department, Federal Reserve Bank of Atlanta, 104 Marietta Street, NW, Atlanta, Georgia 303032713, 404/521-8020.
w^_|) htit ? ,4ih}?} @h!i|tG
AiLh) @?_ L*U)
 W?|hL_U|L?
Ai hiUi?| *|ih@|hi Lgiht ?L tLh|@}i Lu **@?t |L M*@4i uLh |i €?@?U@* Uh@tit ? i ULc
,@t| t@c +tt@ @?_ h@3*G ULhhT|L? @?_ UhL?)t4c *@U! Lu |h@?tT@hi?U) @?_ 4TihuiU|
_i4LUh@U)c 4t}_i_ ?it|4i?| tMt_it @?_ *L@? }@h@?|iitc i |ih?@* _i€U|t |@| @hi
|LL *@h}i ELh tL4i|4it |LL t4@**c € i_ i U@?}i h@|it |@| @hi 4@?|@?i_ uLh |LL *L?} ELh
@M@?_L?i_ |LL hi@_*)c TLLh €?@?U@* hi}*@|L?c i Uitti MLhhL?} @MhL@_ |i *t| }Lit
L? @?_ L?
W| t |i4T|?} |L @h}i |@| tiih@* Lh ii? @** Lu |iti u@U|Lht 4@||ihi_ uLh hiUi?|
4i*|_L?t | tU @ !|Ui? t?! @TThL@U L*_ i*T *||*i ? ?_iht|@?_?} )c i?c
@?_ ihi |iti Uhtit @TTi?i_ `U L?i Lu |i 4@?) i@!?ittit i M|i_ M) |i
@=U|i_ UL?|hit t ?iUitt@h) uLh @ Uhtt |L LUUhq @? @?) Lu |i4 UL?Ui@M*) Mi tUi?|
|L |h}}ih @ UL**@Ttiq Aihi t @*tL |i Tit!) ?ii_ |L uLh4*@|i TL*U) i?|h@* M@?!iht @?_
€?@?Ui 4?t|iht U@? @| Mit| |@U!*i @ ui ttit @| @ |4i `ihi tL*_ |i) uLUt |ih
igLh|t |L @i |i Mit| U@?Ui Lu @L_?} €?@?U@* *?ih@M*|)q
| |i ht! Lu Liht4T*u)?}c ? |t T@Tih i uLUt L? @ t?}*i u@U|Lh Mi?_ €?@?U@*
@?_ Uhhi?U) _t|hittG ?|ih?@|L?@* **^_|)c _i€?i_ @t @ t|@|L? ? U @ UL?|h)<t
UL?tL*_@|i_ €?@?U@* t)t|i4 @t TL|i?|@* tLh||ih4 LM*}@|L?t ? uLhi}? Uhhi?U) |@|
i Uii_ |i @4L?| Lu uLhi}? Uhhi?U) | U@? @i @UUitt |L L? tLh| ?L|Ui W**^_|) t
Uih|@?*) ?L| ?iUitt@h) uLh Uhhi?U) Uh@tit |L LUUh Ai ,5 |hLM*it Lu |i i@h*) bbftc
uLh ?t|@?Uic @_ 4Lhi |L _L | }Lih?4i?|t< _ithi |L €}| ?i4T*L)4i?| |@? | @?)
_U*|it ? tihU?} tLh||ih4 LM*}@|L?t2 | **^_|) UL4it U*Lti |L Mi?} tUi?|
|L |h}}ih @ Uhtt Ai LT|L?t *iu| @u|ih Uhi_|Lht *Lti UL?€_i?Ui @?_ t|LT hL**?} Lih @?_
_i4@?_ 44i_@|i T@)4i?| L? i t|?} *L@?t i|ih |L |i Th@|i tiU|Lh @t ? t@ Lh
|L |i }Lih?4i?| @t ? i UL @?_ h@3* @hi T@?u**) ui Ai UL**@Tti Lu |i Uhhi?U)c
Lu |i €?@?U@* t)t|i4c Lh Tih@Tt ML|c t |i *!i*) L|UL4i
`i hit|hU| Lh uLUt ii? uh|ih M) t|hitt?} |i hL*i Lu _L4it|U M@?!t ? U@t?} @?_
|h@?t4||?} t|@|L?t Lu **^_|) W? _L?} tL i 4tt tL4i Lu |i @U|L?G |i Lh*_
?L !?Lt |@| ? W?_L?it@ | @t ULhTLh@|it L __ 4U Lu |i MLhhL?}c @?_ L
u@Ui_ tiihi **^_|) i? uLhi}? *i?_?} t|LTTi_ vi| @ uLUt L? M@?!t t t|€i_ uLh
|L hi@tL?t Ai €ht| t |i } LMtihi_ ULhhi*@|L? Mi|ii? i U@?}i h@|i UL**@Ttit @?_
M@?!?} Uhtit W? |i 5L|ih? L?i Lu |i 4ihU@t ? |i i@h*) bHftc 5U@?_?@@ ?
|i i@h*) bbftc i UL ? bbD @?_ t@ 4Lhi hiUi?|*)c |i Uhhi?U) Uh@ti_ @*L?} |
|i €?@?U@* t)t|i4 6Lh4@* iUL?L4i|hU Lh!c tU @t |@| hiTLh|i_ M) k@4?t!) @?_
+i?@h| EbbSc tLt |@| @ M@?! Uhtt i*Tt Thi_U| @ Uhhi?U) Uhtte Ai tiUL?_ t |@|
4 Wklv
lv forvh wr zkdw Gruqexvfk +4<<;, fdoov _edodqfh vkhhw yxoqhudelolw|1% Vhh dovr Ihogvwhlq +4<<<, iru
d vhw ri srolf| uhfrpphqgdwlrqv wkdw irfxv rq lqfuhdvlqj oltxlglw|1
5 Wklv srlqw kdv ehhq irufhixoo| dujxhg e| Revwihog +4<<7,1
6 Zh vd| _forvh wr vxflhqw% ehfdxvh/ dv Revwihog dqg Urjr +4<<8, kdyh vwuhvvhg/ dq| Fhqwudo Edqn
wkdw kdv hqrxjk uhvrxufhv wr ex| edfn wkh prqhwdu| edvh lv fdsdeoh/ lq d whfkqlfdo vhqvh/ ri pdlqwdlqlqj dq
h{fkdqjh udwh shj1 Exw/ dv Revwihog dqg Urjr wkhpvhoyhv uhfrjql}h/ lq vlwxdwlrqv ri qdqfldo glvwuhvv wkh
gh idfwr fodlpv rq Fhqwudo Edqn uhvhuyhv pd| eh dv odujh dv P5 ru odujhu1 Lq wkrvh fdvhv/ dv zh vwxg| lq
ghwdlo ehorz/ pdlqwdlqlqj wkh shj ehfrphv d pruh wuhdfkhurxv wdvn1
7 Dovr/ Vdfkv/ Wruqhoo dqg Yhodvfr +4<<9e, qg wkdw wkh suhylrxv vshhg ri edqn fuhglw jurzwk khoshg
2
M@?!t T*@) @ 4U *@h}ih hL*i ? i4ih}?} |@? ? 4@|hi iUL?L4it( |t t|€it uLUt?}
L? M@?!t |L |i _i|h4i?| Lu L|ih €?@?U?} 4iU@?t4t tU @t i^|)
,4T@t3?} **^_|) t ?@|h@* uLh i4ih}?} 4@h!i|t MiU@ti Lu |ih *4|i_ @UUitt |L
Lh*_ U@T|@* 4@h!i|t `i? uh@U|L?@* hitihi M@?!t ? 4@|hi iUL?L4it u@Ui @ *^_|)
ThLM*i4c |i) @hi *!i*) |L }i| i4ih}i?U) u?_t uhL4 |i Lh*_ U@T|@* 4@h!i|t @t *L?} @t
|i) @hi tL*i?| At t ti*_L4 |i U@ti ? i4ih}?} iUL?L4itG @ Th@|i M@?! ? @?}!L!
Lh i UL |) ** }i| 4@?) ?|ih?@|L?@* *L@? Lgiht i? |?}t }L i**c @?_ ?L?i i? |
t Mi?} h? L? M) _iTLt|Lht Ai UL4M?@|L? Lu uh@U|L?@* hitihi E@?_ i?Ui TL|i?|@**)
**^_ M@?!t @?_ i |ih?@* Uhi_| h@|L??} t TL|i?|@**) _i@t|@|?} @?_ t |i uLUt Lu
Lh @?@*)tt Mi*L
W?|ih?@|L?@* **^_|) t @| |i ih) _ihti hiUi?| Uhtit ? i4ih}?} 4@h!i|t @i
? UL44L? +iUi?|*) |hLM*i_ UL?|hit ? t@D @_ } @?_ t@hT*) ht?} h@|Lt Lu
@h_ Uhhi?U) tLh||ih4 *@M*|itc itTiU@**) i |ih?@* _iM|c |L *^_ @tti|t Ai) ihi
|ihiuLhi i |hi4i*) *?ih@M*i |L @| @*L EbbH |ih4t |i t__i? t|LT t)?_hL4iG @
4@tti hiiht@* Lu U@T|@* ?Ltc U LUUhhi_ ? |i tiUL?_ @*u Lu bb.S @?!hT|Uitc
T@)4i?|t 4Lh@|Lh@ @?_ @tti| ThUi UL**@Ttit E?U*_?} |i i U@?}i h@|ic |i ThUi Lu
_L4it|U 4L?i) ThL*uih@|i_ Ai €?@?U@* T@?U ui_ L? |ti*uc U@t?} uLhi}? Uhi_|Lht
|L U@** ? *L@?t @?_ _iTLt|Lht |L |_h@ u?_t uhL4 M@?!t @** Lu U 4@}?€i_ |i
h{sodlq zklfk frxqwulhv zhuh dhfwhg e| wkh Whtxlod hhfw1
8 Dowkrxjk rxu uhylhz lv uhvwulfwhg wr wkh Dvldq fulvlv/ lqwhuqdwlrqdo looltxlglw| lv dovr irxqg lq rwkhu fudvk
hslvrghv1 Iru lqvwdqfh/ lq Fkdqj dqg Yhodvfr +4<<;f, zh kdyh dujxhg/ lq wklv uhvshfw/ wkdw wkh uhfhqw Dvldq
fulvvv uhvhpeohv wkh h{shulhqfh ri Fkloh lq 4<;5 dqg Ph{lfr lq 4<<71
9 Udghohw dqg Vdfkv +4<<;, hvwlpdwh d fdslwdo rxwrz ri XV' 67 eq1 iurp wkh Dvhdq 8 frxqwulhv lq wkh
vhfrqg kdoi ri 4<<:/ htxlydohqw wr d qhjdwlyh vkrfn ri 619 ri JGS1
**^_|) Lu _L4it|U €?@?U@* ?t|||L?t @?_ uLhUi_ )i| @?L|ih hL?_ Lu ULt|*) @tti|
*^_@|L? @?_ ThUi _i@|L?
h ?|i?|L? t ?L| |L ThL_i )i| @?L|ih @?tih |L |i ^it|L? Lu RL *Lt| t@
Lh _L i @?| |L UL4Ti|i | |i 4@?) }LL_ @?_ _i|@*i_ @UUL?|t Lu @| @TTi?i_.
+@|ihc i |@U!*i |hii ti|t Lu ^it|L?tG
?@*)|UtG @| t |i h}| |iLhi|U@* uh@4iLh! uLh **^_|)_hi? Uhtitq `i
@i i**it|@M*ti_ R€ht| }i?ih@|L? 4L_i*t Lu L *LLti 4L?i) U@tit Uhhi?U)
Uh@titc @?_ RtiUL?_ }i?ih@|L? 4L_i*t Lu ) }Lih?4i?|t 4@) ULLti |L _i@*i
? hitTL?ti |L 4L?|?} ?i4T*L)4i?| ) UL?|h@t|c 4L_i*t Lu Uh@tit U@ti_ M)
**^_|) @?_ M@*@?Ui tii| *?ih@M*|) @hi t|** ? |ih ?u@?U)H
htt Thii?|L?G U@? **^_|)_hi? Uhtit Mi @L_i_c @?_ Lq Ai i@t) )i|
ti*itt @?tih t |L hi^hi €?@?U@* t)t|i4t |L Mi @*@)t *^_ 6** *^_|) t ULt|*)
@?_ 4@) _tTi?ti | @** Mi?i€|t Lu €?@?U@* ?|ih4i_@|L?G M@?!t @hi ? |i Mt?itt
Lu |h@?tuLh4?} 4@|h|it @?_ |ihi t ?L @) |L _L |t |L| @ 4t4@|Ui_ M@*@?Ui
tii| Oi?Uic UL?|hit @||i4T|?} |L Thii?| Uhtit u@Ui tL4i ?T*i@t@?| |h@_iLgtc
?L*?} ?L| L?*) _L4it|U €?@?U@* hi}*@|L? M| @*tL 4L?i|@h)c €tU@* @?_ i U@?}i
h@|i TL*U)
htt 4@?@}i4i?|G L tL*_ L?i hitTL?_ |L @ Uhtt U@ti_ M) ?|ih?@|L?@* **^
: Vhh/ hvshfldoo|/
; Zh kdyh pdgh
Fruvhwwl/ Urxelql dqg Shvhqwl +4<<; d dqg e, dqg Zruog Edqn +4<<;,1
vrph suholplqdu| surjuhvv lq Fkdqj dqg Yhodvfr +4<<;d/ 4<<;e/ 4<<<,1 Rwkhu sdshuv lq
wkh vdph uhvhdufk olqh lqfoxgh Fdoyr +4<<8/ 4<<;,/ Ghwudjldfkh +4<<9,/ Jrogidmq dqg Ydoghv +4<<:,/ Mhdqqh
+4<<;,/ Djklrq/ Edffkhwwd/ dqg Edqhumhh +4<<<,/ dqg Nuxjpdq +4<<<,1
e
_|)q W? |i @u|ih4@| Lu t@ |ihi @i Mii? uhLt _iM@|it Lih |i t_L4 Lu
?Uhi@t?} ?|ihit| h@|it Lh *i||?} |i i U@?}i h@|i }L ? |i u@Ui Lu @? @||@U! |
|i RULhhiU| @?tiht tL*_ ?}i L? |i ?@|hi Lu |i Uhtt hhi?|@UUL?| _hi?
Uhtit hi^hi @ hi@* _iThiU@|L? @?_ @ UL?|h@U|L? Lu _i4@?_( **^_|)_hi? Uhtit
4@) U@** uLh _gihi?| @?tiht
`i t|_) @ 4L_i* Lu @ M@?! t|@|i_ ? @ t4@** LTi? iUL?L4) | *4|i_ @UUitt |L
?|ih?@|L?@* U@T|@* At t4T*i ti|T @||i4T|t |L U@T|hi |i 4@? ui@|hit Lu @|
kh}4@? EbbH @t |i?|@|i*) |ih4i_ R|h_ }i?ih@|L? Uhtt 4L_i*tc @?_ i?@M*it t
|L _tUttc ? @ ?€i_ @)c @ ?4Mih Lu ttit h@ti_ M) |i hiUi?| ti^i?Ui Lu Uhtit ?
i4ih}?} 4@h!i|t W? T@h|U*@hc i _tUtt |i hL*i Lu U@T|@* ?Lt @?_ |i 4@|h|) Lu
i |ih?@* _iM|c |i @) ? U hi@* i U@?}i h@|i _iThiU@|L? U@? |h@?t4| @?_ 4@}?u)
|i igiU|t Lu M@?! **^_|)c LT|L?t uLh €?@?U@* hi}*@|L?c |i hL*i Lu _iM| @?_ _i€U|tc
@?_ |i 4T*U@|L?t Lu @_LT|?} _gihi?| i U@?}i h@|i hi}4it
*i@h*) |t t ?L| |i L?*) TL|i?|@**) tiu* @) |L t|_) Uhtit 5iih@* @?@*)t|t Lu
hiUi?| Uh@tit 4Lt| tM*) Lhti||c iti?| @?_ +LM? EbbH@ @?_ M @i t|hitti_ |i
hL*i Lu M@_ tLU!t @?_ M@_ TL*U)c Thit4@M*) *i@_?} |L ?tL*i?U) A@| i4T@tt *i@_t |L
ih) _gihi?| TL*U) 4T*U@|L?t |@? _Lit @ 4L_i* *!i Lhtc U t|hittit **^_|) @?_
4*|T*i i^*Mh@ `i U@? Lgih |i t@* _tU*@4ihG ML| @TThL@Uit @hi ?iUitt@h) @?_
4@) |h? L| |L Mi UL4T*i4i?|@h) | | t 4TLh|@?| |L hi@*3i |@| ? Lh @TThL@U |i
*?i Mi|ii? **^_|) @?_ ?tL*i?U) t @ €?i L?i i?} **^_ U@? U@ti tL4i ?it|4i?|
ThLiU|t |L Mi *iu| ?€?ti_ @?_ L|iht |L Mi *^_@|i_ i@h*) Wu |t t tUi?|*) ULt|*)c
D
**^_|) U@? Mhii_ ?tL*i?U) W? Th@U|Uic |i M@?!hT|Uit @?_ i@! M@*@?Ui tii|t
hiUi?|*) LMtihi_ ? Uhtt UL?|hit 4@) i** Mi UL?ti^i?Uit h@|ih |@? U@tit Lu |i
Uhtt
2 W?|ih?@|L?@* **^_|) ? hiUi?| Uhtit
6?@?U@* uh@}*|) t @ttLU@|i_ | |i UL?UiT| Lu ?|ih?@|L?@* **^_|)c _i€?i_ @t @ t|
@|L? ? U @ €?@?U@* t)t|i4<t TL|i?|@* tLh| |ih4 *@M*|it ? @h_ Uhhi?U) i Uii_
|i @4L?| Lu @h_ Uhhi?U) | U@? @i @UUitt |L L? tLh| ?L|Ui W?|ih?@|L?@* **^_|)
@t UhU@* ? |h}}ih?} hiUi?| Uhtit AL 4@!i |t U@tic i t@** @?@*)3i _@|@ uhL4 |i
tLU@**i_ ti@?D UL?|hit EkLhi@c W?_L?it@c @*@)t@c A@*@?_c @?_ |i *TT?it @?_
@*tL uhL4 UL4T@h@M*i w@|? 4ihU@? UL?|hitb `i ?ii_ |L @?tih @| *i@t| |L ^it
|L?tG L **^_ ihi |i ti@?D UL?|hit @| |i |4i |i Uhtt ihT|i_q ?_c ihi |i
t@? UL?|hit t)t|i4@|U@**) _gihi?| uhL4 L|ihti t4*@h L?it ? |ih4t Lu ?|ih?@|L?@*
**^_|)q ?tih?} |iti ^it|L?t hi^hit 4@!?} |i UL?UiT| Lu R?|ih?@|L?@* **^
_|) LTih@|L?@*c U ? |h? hi^hit _i?|u)?} |i ?t|||L?t |@| UL4Thti i@U
UL?|h)<t R€?@?U@* t)t|i4c @t i** @t |ih hi*i@?| RtLh||ih4 @tti|t @?_ *@M*|it ?
@h_ Uhhi?U) Ai @TThLTh@|i _i€?|L?t _iTi?_ L? }Lih?4i?| TL*U)
h _i€?|L? Lu @ €?@?U@* t)t|i4 ** ?@|h@**) ?U*_i _L4it|U M@?!t @?_ L|ih
_L4it|U €?@?U@* i?||it |@| TihuLh4 M@?!*!i LTih@|L?t EtU @t A@*@?_<t €?@?Ui
UL4T@?it W? @__|L?c MiU@ti |i UL?|hit ?_ih _tUttL? @_ }Lih?4i?|t UL44||i_
< Wkh
glvfxvvlrq ehorz lv hvvhqwldoo| wdnhq iurp Fkdqj dqg Yhodvfr +4<<;f,1
S
|L @U| @t *i?_iht Lu *@t| hitLh| Lu Th@|i €?@?U@* ?t|||L?tc |ih Ui?|h@* M@?!t ** Mi
?U*_i_ @t i** At t ti?tM*i MiU@tic ? |i Thiti?Ui Lu tU @ UL44|4i?|c @ Uhtt
@giU|?} Th@|i €?@?U@* ?t|||L?t ** uLhUi @ Ui?|h@* M@?! |L L?Lh |c @?_ |t 4@) T**
|i }Lih?4i?| |ti*u ?|L |i Uhtt W?_ii_c i t@** @h}i *@|ih |@| @ M@*@?Ui Lu T@)4i?|t
Uhtt t Mit| ?_iht|LL_ @t @ t|@|L? ? U @ Ui?|h@* M@?! h?t L| Lu ?|ih?@|L?@*
*^_|) ? @? @||i4T| |L €}| @ €?@?U@* Uhtt
UULh_?}*)c @? _i@* _i€?|L? Lu |i *^_ ?|ih?@|L?@* @tti|t Lu |i €?@?U@* t)t|i4
L*_ ?U*_i ?L| L?*) |i tLh||ih4 i |ih?@* @tti|t Lu Th@|i €?@?U@* ?t|||L?tc M|
@*tL |i @4L?| Lu uLhi}? Uhhi?U) @@*@M*i |L |i Ui?|h@* M@?! uLh *@t| hitLh| *i?_?} ? |i
ii?| Lu @ Uhtt EL|Ui |@| |i *@||ih tL*_c ? Th?UT*ic i U*_i |i @4L?| Lu hitihit
|@| @t @*hi@_) Mii? UL44||i_c 4T*U|*) Lh i T*U|*)c |L L|ih tit ? @ Uhttc tU @t
|i hiT@)4i?| Lu AitLML?Lt ? i UL be Ai _i€?|L? L*_ @*tL ?U*_i |i @4L?|
Lu ?|ih?@|L?@* *L@?t |@| |i €?@?U@* t)t|i4 U@? @i @UUitt |L ? |i tLh| h? @t i**
@t |i *^_@|L? @*i Lu € i_ @tti|t `*i @ 4i@thi Lu tLh||ih4 ?|ih?@|L?@* *^_
@tti|t i4ML_)?} |iti _it_ih@|@ U@? Tih@Tt Mi UL?t|hU|i_c MiU@ti Lu _@|@ UL?t|h@?|t
i ti |i t|LU! Lu ?|ih?@|L?@* hitihit Lu |i 4L?i|@h) @|Lh|it @t @ ThL ) Lu |i _i@*
4i@thi
54*@h*)c @? _i@* _i€?|L? Lu |i tLh||ih4 ?|ih?@|L?@* *@M*|it Lu |i €?@?U@*
t)t|i4 L*_ ?U*_i |t tLh||ih4 uLhi}? _iM| @t i** @t _i4@?_@M*i _iTLt|t _i?L4?@|i_
? uLhi}? Uhhi?U)( |i L?*) _gihi?Uic uhL4 |i iTL?| Lu ?|ih?@|L?@* **^_|)c t |@|
|i uLh4ih @hi LM*}@|L?t @}@?t| uLhi}?iht *i |i *@||ih @hi LM*}@|L?t | _L4it|U
.
hit_i?|t W? @__|L?c u |ihi t @ € i_ i U@?}i h@|ic _i4@?_@M*i _iTLt|t ? _L4it|U
Uhhi?U) tL*_ @*tL Mi ?U*_i_c t?Ui € i_ h@|it 4T*) |@| tU _iTLt|t @hi igiU|i*)
LM*}@|L?t ? uLhi}? Uhhi?U)
Ai hi*i@?| _@|@ L? _iTLt|t ? |i UL?tL*_@|i_ €?@?U@* t)t|i4 @hi @@*@M*i uhL4
W65c M| |i t|@|L? uLh ?|ih?@|L?@* _iM| t *itt t@|tu@U|Lh) t _tUtti_ M) Lhti||c
iti?|c @?_ +LM? EbbH@c |i 4Lt| tiu* tLhUi Lu i_i?Ui L? tLh||ih4 i |ih?@*
_iM| t TM*ti_ M) |i @?! Lu W?|ih?@|L?@* 5i||*i4i?|t | |i W5 _@|@ t hit|hU|i_
|L |i ?_iM|i_?itt Lu @ UL?|h)<t hit_i?|t @}@?t| uLhi}? M@?!t Lhi 4TLh|@?|*) uLh
Lh ThTLtitc @@*@M*i W5 |@M*it @hi ?L| MhL!i? _L? tUi?|*) |L _i?|u) |i tLh|
|ih4 i |ih?@* _iM| Lu |i €?@?U@* t)t|i4 OLiihc |i) _L UL?|@? _@|@ L? |i tLh||ih4
i |ih?@* _iM| E@}@?t| W5 hiTLh|?} M@?!t Lu @ UL?|h) @t @ L*ic @t i** @t L? |i @4L?|
Lu i |ih?@* _iM| E?U*_?} _iM| Lu *L?}ih 4@|h|) UL?|h@U|i_ M) _L4it|U M@?!t Aiti
@tTiU|t Lu |i _@|@ uLhUi t |L |hi@| _L4it|U _iTLt|t @?_ i |ih?@* _iM| tiT@h@|i*)
kiiT?} _@|@ *4|@|L?t ? 4?_c i ?L |h? |L |i @@*@M*i i_i?Ui Ai _@|@ L?
|i ti@?D UL?|hit _Lit t}}it| |@| |i ?|ih?@|L?@* *^_|) TLt|L? Lu |ih €?@?U@*
t)t|i4t _i|ihLh@|i_ MiuLhi |i Uhtt At t U@? Mi tii? 4Lt| U*i@h*) uhL4 |i W5 _@|@
L? uLhi}? M@?! *i?_?} A@M*i  tLt |i Mi@Lh Lu |i h@|L Lu tLh||ih4 *L@?t uhL4
?|ih?@|L?@* M@?!t |L hitihit( LMLt*)c @? ?Uhi@ti ? |i h@|L 4T*it @ }ih *!i*LL_
Lu ?|ih?@|L?@* **^_|) Ai TTih T@?i* Lu |i |@M*i tLt |@| @4L?} |i ti@?D
|i h@|L ?Uhi@ti_ Mi|ii? 4_ bbe @?_ 4_ bb. ? iih) U@ti i UiT| uLh W?_L?it@c
ihi |i h@|L @t t|@M*i EW? kLhi@c @*@)t@ @?_ A@*@?_ |i h@|L @_ @*tL ?Uhi@ti_
H
Mi|ii? bbf @?_ bbe W| @_ u@**i? ? W?_L?it@ M| ?L| M) 4U W| @_ u@**i? t@hT*)
? |i *TT?itc M| |t @t ThLM@M*) @? @?L4@*) uL**L?} |i *TT?i h@_) _iM|
hit|hU|h?} Lu bb
W| t @*tL hi4@h!@M*i |@| |i tLh||ih4 _iM| |L hitihit h@|Lt @| |i i?_ Lu bbS ihi
tMt|@?|@**) @MLi L?i ? kLhi@c W?_L?it@c @?_ A@*@?_ At t}}it|t @ €?@?U@**) uh@}*i
t|@|L?c ? |i ti?ti |@| ?|ih?@|L?@* hitihit L*_ ?L| @i Mii? tUi?| |L hiT@)
|i tLh||ih4 _iM| @_ uLhi}? M@?!t _iU_i_ ?L| |L hL** | Lih `*i |i *ii* Lu |i
tLh||ih4 _iM| |L hitihit h@|L @t Mi*L L?i ? @*@)t@ @?_ |i *TT?it E|i |L
UL?|hit @4L?} |i ti@?D *i@t| @giU|i_ M) |i Uhttc | _LM*i_ Mi|ii? 4_ bbe @?_
4_ bb.
t tL? M) |i *Lih T@?i* Lu A@M*i c |i ULhhitTL?_?} _@|@ uLh w@|? 4ihU@?
UL?|hit *LL!t h@|ih _gihi?| Ai tLh||ih4 _iM| |L hitihit h@|L @t t|@M*i @?_ Mi*L
L?i ? h@3*c *ic L*L4M@c @?_ ih( ? h}i?|?@ @?_ i UL | @t @TThL 4@|i*) 2
? 4_ bb.c |t i Uii_?} L?i M| ?L| M) 4Uc @?_ @_ Mii? u@**?} Ai w@|? UL?|hit
@TTi@h |L @i Mii? ? @ 4U *itt *?ih@M*i TLt|L?
Ai W5 |@M*it t}}it|c ? @__|L?c |@| |i ThLTLh|L? Lu uLhi}? M@?! *i?_?} ?|ih
4i_@|i_ M) |i _L4it|U M@?!?} tiU|Lh @t t|@M*i ? i@U t@? U@ti i UiT| A@*@?_
W? |i U@ti Lu A@*@?_c |i _iU*?i ? |i t@hi Lu |i _L4it|U M@?!?} tiU|Lh ? uLhi}?
MLhhL?} t @||hM|@M*ic M) @?_ *@h}ic |L |i ?Uhi@ti_ 4TLh|@?Ui Lu €?@?Ui UL4T@?it
6?@?Ui UL4T@?it tii4 |L @i i4ih}i_ ? hitTL?ti |L hi}*@|Lh) _t|Lh|L?tc M| Tih
uLh4i_ M@?!*!i u?U|L?t W? u@U|c |i) @hi ?U*_i_ ? |i W?|ih?@|L?@* 6?@?Ui 5|@|t|Ut
b
@t T@h| Lu |i }hLT R|ih @?!?} W?t|||L?t( |i W65 ?L|it |@| @*|L} €?@?Ui
UL4T@?it ihi R?L| *Ui?ti_ |L @UUiT| _iTLt|t uhL4 |i TM*Uc |i) tti_ ThL4ttLh)
?L|it @| |ih4t UL4T@h@M*i |L |i |4i _iTLt|t @| UL44ihU@* M@?!t Ai 4TLh|@?Ui Lu
A@*@?_<t €?@?Ui UL4T@?it ? |i €?@?U@* t)t|i4t @t @*tL ?_ihtULhi_ M) |i u@U| |@|
|i @?! Lu A@*@?_ @t UL44||i_ |L tTTLh| |i4 @t @ *i?_ih Lu *@t| hitLh|
Ai i_i?Ui |t t|hL?}*) ?_U@|it |@| |i tLh||ih4 i |ih?@* *@M*|it Lu |i hi*i
@?| t@? €?@?U@* t)t|i4t ihi }hL?} u@t|ih |@? |ih *^_ ?|ih?@|L?@* @tti|t W? Lh
?|ihThi|@|L?c |t |hi?_ i@!i?i_ |i ?|ih?@|L?@* *^_|) TLt|L? Lu |i ti@?D UL?
|hit |L |i TL?| ihi @ *Ltt Lu UL?€_i?Ui uhL4 uLhi}? Uhi_|Lht UL*_ uLhUi |i €?@?U@*
t)t|i4 ?|L @ Uhtt Ai t@4i @t ?L| |hi ? w@|? 4ihU@
Ai Mi@Lh Lu _L4it|U _iTLt|t t @ t ?|ih?@|L?@* hitihit tLt @ t4*@h TU|hi
Ai TTih T@?i* Lu A@M*i 2 tLt |i iL*|L? Lu |i h@|L Lu 2 |L uLhi}? hitihit uLh
|i ti@?D iUL?L4it MiuLhi |ih Uhtit Ai } *ii* Lu |i 2 |L hitihit h@|L tii4t
UL?tt|i?| | |i )TL|itt Lu ?|ih?@|L?@* **^_|) | |i i?_ Lu bbSc |i 2 |L
hitihit h@|L @t SD Lh @MLi ? kLhi@ @?_ W?_L?it@ @?_ eD ? |i *TT?it t |i
*Lih T@?i* ? A@M*i 2 hii@*tc |i t@4i h@|L @t L?*) e ? h}i?|?@c 2. ? h@3*c @?_
*itt |@? 2 ? *i @?_ ih W| @t hi*@|i*) }ih ? i UL EeSD M| |ihi | @_ Mii?
u@**?}( | t ?L|@M*i E@?_ 4@)Mi 4Lhi |@? @ UL?U_i?Ui |@| |i 2 |L hitihit h@|L @_
Mii? Lih tii? ? i UL ? a?i bbec t| MiuLhi |t L? Uhtt-
Ai 2 |L hitihit h@|L @t t|@M*i ? i@U Lu |i ti@?D UL?|hitc i UiT| ? A@*@?_
ihi | @t u@**?} Ai Mi@Lh Lu |i A@ h@|L 4Lt| *!i*) hiiU|tc @t i _tUtti_
f
@MLic |@| |i hi*i@?| 4i@thi Lu |i *@M*|it Lu A@*@?_<t €?@?U@* t)t|i4 t @
t
_L4it|U hit_i?|t tL*_ ?U*_i |i ThL4ttLh) ?L|it Lu |i €?@?Ui UL4T@?itc U @hi
?L| ?U*_i_ ? 2
W? tLh|c |i h@|L Lu 2 |L hitihit ? |i ti@?D UL?|hit @_ Mii? } ? i@U
U@ti M| A@*@?_ ) UL?|h@t|c ? UL4T@h@M*i w@|? UL?|hit |i 2 |L hitihit h@|L @t
hi*@|i*) } L?*) ? i ULc ihi | @_ Mii? u@**?} _h@t|U@**) At i_i?Uic U
ThL it |i tLh||ih4 @tti| @?_ *@M*|) TLt|L?t Lu i@U €?@?U@* t)t|i4 t @
t _L4it|U
_iTLt|Lhtc @*tL u@Lht |i i |@| |i ti@?D M| ?L| |i w@|? UL?|hit @_ @ ThLM*i4
Lu ?|ih?@|L?@* **^_|) i? |i Uhtt t|@h|i_
`i UL?U*_i uhL4 |t ^U! hii Lu |i _@|@ |@| ?|ih?@|L?@* **^_|) @t ? u@U|
@ _t|?}t?} U@h@U|iht|U Lu |i ti@?D iUL?L4it ThLh |L |ih bb.bH Uhtit w@|?
UL?|hit __ ?L| tgih uhL4 |@| UL?_|L? Q@?_ __ ?L| }L ?|L Uhttf
AL U@i@|t @hi ? Lh_ih 6ht|c | Mi@ht hiTi@|?} |@|c MiU@ti |i ti@?D UL?|hit
@_ igiU|i*) € i_ i U@?}i h@|itc Lh @UUL?|?} ?U*_it _L4it|U Uhhi?U) _iTLt|t @t
LM*}@|L?t ? ?|ih?@|L?@* Uhhi?U) Ai hi*@|i 4@}?|_it Lu _iTLt|t |L ?|ih?@|L?@*
hitihit 4T*it |@| |i *@||ih L*_ ?L| @i Mii? tUi?| |L L?Lh |i L|t|@?_?} t|LU!
Lu _iTLt|t @| |i € i_ i U@?}i h@|i Bi? |t UL?_|L?c @ h? M) _L4it|U _iTLt|Lht @t
ML?_ |L hit*| ? i|ih |i M@?!hT|U) Lu |i €?@?U@* t)t|i4 Lh |i @M@?_L?4i?| Lu |i
43 Lq
frqwudvw/ wkh shuirupdqfh ri vhyhudo nh| uhdo yduldeohv zdv qrw wkdw glhuhqw dfurvv uhjlrqv1 Hdvw
Dvldq frxqwulhv riwhq kdg odujh fxuuhqw dffrxqw ghflwv lq wkh 4<;3v dqg hduo| 4<<3v/ exw wkh fudvk glg qrw
kdsshq xqwlo 4<<:1 Lq wkh plg 4<<3v d qxpehu ri Odwlq frxqwulhv/ lqfoxglqj Eud}lo/ Fkloh/ dqg Frorpeld/ kdg
h{whuqdo ghflwv ryhu 8( ri JGS1 Ph{lfr/ Pdod|vld/ Wkdlodqg dqg Eud}lo vxuho| vxhuhg iurp uhdo h{fkdqjh
udwh plvdoljqphqw/ exw vr glg Dujhqwlqd/ Frorpeld/ Fkloh dqg Shux/ dqg qr fulvlv kdv |hw klw wkhvh Vrxwk
Dphulfdq frxqwulhv1 Iru d ghwdlohg glvfxvvlrq/ vhh Fkdqj dqg Yhodvfr +4<<;f,1

€ i_ i U@?}i h@|i Ai 2 |L hitihit h@|Lc Liihc Liht|@|it ?|ih?@|L?@* **^_|)
? UL?|hit | i M*i i U@?}i h@|itc tU @t i UL @?_ ihc |L |i i |i?| |@| 2
?U*_it _iTLt|t ? _L4it|U Uhhi?U) At t MiU@tic ? U@ti Lu @ Uhttc @ Ui?|h@* M@?!
U@? @*@)t Th?| i?L} _L4it|U Uhhi?U) |L L?Lh |Lti _iTLt|t( tii tiU|L? H Mi*L
Ai tiUL?_ U@i@| |@|c MiU@ti UL4T@h@M*i _@|@ t ?L| Uhhi?|*) @@*@M*ic i @i
?L| ?U*_i_ tLh||ih4 _L4it|U TM*U _iM| ? Lh *^_|) 4i@thit W? |i t@? Uhttc
|t t ?L| *!i*) |L Mi @? 4TLh|@?| L4ttL? hL?_ |i |4i Lu |i UL**@Tti |ihi _Lit
?L| tii4 |L @i Mii? 4U tLh||ih4 TM*U _iM| ? |i t|hL?}*) @giU|i_ UL?|hit Lu
W?_L?it@c kLhi@ @?_ A@*@?_ Etii A@M*i Lu W|L bbH OLiihc TM*U _iM| 4@) @i
T*@)i_ @ hL*i ? L|ih iTtL_it `i !?L |@| |i i U@? }Lih?4i?|<t ?@M*|) |L hL**
Lih |t *@h}i t|LU! Lu tLh||ih4 _iM| E? T@h|U*@hc |i ?u@4Lt AitLML?Lt @t |L ThLi
!i) ? |h}}ih?} |i €?@?U@* Uhtt ? #iUi4Mih bbe Lhi _h@4@|U@**)c h@3*<t _iM|
t|@|L? tii4t |L Mi UhU@* uLh ?_iht|@?_?} |t Uhhi?| Thi_U@4i?| At h@tit |i
^it|L? Lu i|ih Lh ?|ih?@|L?@* **^_|) i Lu Uhtit U@? Mi hiUL?U*i_ | |i
Thiti?Ui Lu €tU@* @?_%Lh _L4it|U _iM| ThLM*i4t `i _i*@) Lh @?tih ?|* tiU|L? .
44 H{fhsw iru Eud}lo/
sxeolf ghew kdv qrw d pdmru sureohp uhfhqwo| iru frpsdudeoh Odwlq Dphulfdq frxqwulhv
hlwkhu1 Ph{lfr pdqdjhg vxevwdqwldoo| wr h{whqg wkh pdwxulw| ri lwv sxeolf ghew diwhu wkh 4<<7 froodsvh1 Dw
wkh hqg ri Vhswhpehu 4<<7/ lwv vkruw whup grphvwlf ihghudo ghew zdv htxlydohqw wr XV '5914 eloolrq> e| wkh
hqg ri Mxqh 4<<: wklv jxuh zdv grzq wr ohvv wkdq XV ';18 eloolrq1 Dujhqwlqd/ Fkloh dqg Shux kdyh qrw
lvvxhg grphvwlf vkruw whup ghew lq dq| vxevwdqwldo pdjqlwxgh1
2
M@tU uh@4iLh!
6LUt L? @ t4@** LTi? iUL?L4) | |hii TihL_t ?_i i_ M) | ' f E|i T*@???} TihL_c
 E|i tLh| h?c @?_ 2 E|i *L?} h? Aihi t @ t?}*ic Tiht@M*i UL?t4T|L? }LL_ ?
i@U TihL_ Ai UL?t4T|L? }LL_ t uhii*) |h@_i_ ? |i Lh*_ 4@h!i|( i |@!i |t Lh*_
ThUi |L Mi |i ?4ih@hi Lhc i^@*i?|*)c i @tt4i |@| |i ThUi Lu UL?t4T|L? t € i_
@| L?i ?| Lu @? ?|ih?@|L?@* Uhhi?U) E|i _L**@h
Ai iUL?L4) t TLT*@|i_ M) @ UL?|?4c Lti 4i@thi t ?Lh4@*3i_ |L L?ic Lu i
@?|i _i?|U@* ?__@*tc L4 i hiuih |L @t _iTLt|Lht uLh hi@tL?t |@| ** MiUL4i U*i@h
tLh|*) ,@U _iTLt|Lh t i?_Li_ | @? @4L?| @ f Lu |i t?}*i }LL_ L?*) @| | ' f
#iTLt|Lht 4@ 43i i TiU|i_ TihL_ 2 UL?t4T|L?
Ai) @i @UUitt |L @ Lh*_ U@T|@* 4@h!i| ihi ?|ihit| h@|it @hi 3ihL ,@U _iTLt|Lh
U@? *i?_ @t 4U @t ti @?|t ? |i Lh*_ 4@h!i|( 4Lhi ThiUti*)c ? i@U TihL_ ti U@?
ThU@ti @?) ?L??i}@|i ^@?||) Lu @ Lh*_ *^_ @tti|c |@| )i*_t @ 3ihL ?|ihit| h@|i @?_
U@? Mi ULt|*itt*) *^_@|i_ @| @?) |4i W? UL?|h@t|c i@U _iTLt|Lh U@? MLhhL @| 4Lt| @?
@4L?| s : f @?_ |i? L?*) uhL4 @ UL?|?4 Lu _i?|U@* uLhi}? Uhi_|Lhtc Lti 4i@thi
t @*tL ?|) ,@U uLhi}? Uhi_|Lh t ht! ?i|h@*c U@? uhii*) MLhhL Lh *i?_ ? |i Lh*_
4@h!i|c @?_ 4@ 43it i TiU|i_ tiUL?_ TihL_ UL?t4T|L? Oi?Ui Uhi_|Lht ** *i?_ |L
_L4it|U @}i?|t u @?_ L?*) u |i) @hi Lgihi_ @? i TiU|i_ ?i| hi|h? Lu 3ihL
#L4it|U _iTLt|Lht U@? @*tL ?it| ? @ *L?}|ih4 @tti| | |i uL**L?} U@h@U|iht
|Ut ,@U ?| Lu |i UL?t4T|L? }LL_ ?it|i_ ? |t @tti| @| | ' f )i*_t - ?|t Lu
UL?t4T|L? @| | ' 2 OLiihc | ThLM@M*|) bc |i ?it|4i?| t | M) @ M@_ tLU!c ?

|i ti?ti |@| | ?ii_t @ uh|ih ?utL? Lu hitLhUit ? TihL_  u @?) )i*_ U@? Mi UL**iU|i_
? TihL_ 2 Ai hi^hi_ ?utL? t Lu t3i @ n s c @?_ t ?_iTi?_i?| Lu |i t3i Lu |i
?|@* ?it|4i?| ? |i *L?}|ih4 @tti| W? L|ih Lh_tc i? @ *L?}|ih4 ?it|4i?| Lu
t3i & t | M) @ tLU!c TihL_ 2 L|T| t -& u @?_ L?*) u @? @__|L?@* t ?it|i_ ?
TihL_ 
tt4i |@| -E b :  |@| tc |i *L?}|ih4 @tti|<t i TiU|i_ )i*_ t }ih |@?
|i Lh*_ ?|ihit| h@|i ii? |L} | U@? }L |L @t|i i? | M) @ tLU! tt4i @*tL
|@| |i *L?}|ih4 @tti| & U@? Mi *^_@|i_ @| | '  uLh o& ?|t Lu L|T| ? |@| TihL_c
ihi o 5 dfc 2 Aiti @tt4T|L?t i?thi |@| |i *L?}|ih4 @tti| t ih) ThL€|@M*i ?
|i *L?} h? M| **^_ ? |i tLh| h?
W?uLh4@|L? @ML| |)Tit t Th@|iG i|ih @? @}i?| t R?*U!)c ? |i ti?ti |@| ih
*L?}|ih4 @tti| t | M) @ tLU!c t L?*) LMtihi_ M) |@| @}i?| 6?@**)c tLU!t |L *L?}|ih4
?it|4i?| @hi _ @UhLtt UL?t4iht @?_ |ihi t ?L @}}hi}@|i ?Uih|@?|)c tL b t @*tL |i
uh@U|L? Lu |i _L4it|U TLT*@|L? |@| |h?t L| |L Mi ?*U!)
*i@h*)c ? |i @Mti?Ui Lu tLU!t |L **^_ ?it|4i?|tc i@U _L4it|U hit_i?| L*_
MLhhL T |L ih Uhi_| *4| s @?_ ?it| @** Lu ih hitLhUit ? |i **^_ @tti| ? |i
L|ih @?_c u ti !?i ? @_@?Ui |@| ti @t ?*U!)c ti L*_ L*_ i?L} *^_|)
|L €?@?Ui |i hitLhUi ?utL? ? TihL_ 
t |i @TTi?_ tLt ? tL4i _i|@*c |t ?Uih|@?|) 4@!it |i |h@_iLg Mi|ii?
45 Qrwlfh
wkdw wkh lqyhvwphqw kdv d srvlwlyh oltxlgdwlrq ydoxh uhjdugohvv ri zkhwkhu lw zdv klw e| wkh vkrfn1
Dvvxplqj wkdw rqo| khdowk| lqyhvwphqw kdv srvlwlyh oltxlgdwlrq ydoxh zrxog fkdqjh qrwklqj vxevwdqwldo/ exw
zrxog frpsolfdwh dojheud voljkwo|1
46 Khqfh vkrfnv wr orqj whup lqyhvwphqw sod| khuh d uroh dqdorjrxv wr suhihuhqfh vkrfnv lq prghov lq wkh
wudglwlrq ri Gldprqg dqg G|eylj +4<;6,1
e
L*_?} Lh ?L| tUi?| *^_|) ih) ?@||h@U|i uLh |i ?__@* @}i?| 5i U@? _L
Mi||ih M) L??} @ M@?!c @t i ?L tii
 @?!
`@| M@?!t _L t @**L @}i?|t |L |@!i @_@?|@}i Lu |i *@ Lu *@h}i ?4Miht |L Thi_U| 4Lhi
@UUh@|i*) |ih ?ii_t uLh ULt|*) *^_|) Ai M@?! TLL*t |i hitLhUit Lu |i iUL?L4)
E?U*_?} |i i?_L4i?| @ @?_ |i 4@ 44 Uhi_| *ii* s Mi*L?}?} |L i@U _iTLt|Lh ?
Lh_ih |L 4@ 43i |i i*u@hi Lu |t hiThiti?|@|i 4i4Mih W? _L?} tLc | ?ii_t |L hitTiU|
hitLhUi UL?t|h@?|t @?_ ?uLh4@|L?@* UL?t|h@?|te
6Lh4@**)c |i M@?!<t ThLM*i4 t |L 4@ 43i i TiU|i_ UL?t4T|L? tMiU| |L |i uL**L
?} UL?t|h@?|t 6ht|c | 4t| _t|hM|i |i TihL_ f hitLhUit @ n s |L |i *L?}|ih4
@tti| @?_ |i *^_ @tti|c @?_ i?Ui | 4t| hitTiU| |i M_}i| UL?t|h@?|
&nK
E
ihi K @?_ & _i?L|ic hitTiU|i*)c ?it|4i?| ? |i *^_ @?_ **^_ @tti|t W? TihL_
c |i M@?! 4@) Lh 4@) ?L| tTi?_ |L tLhi T i@U Lu |i b ?it|4i?|t | M) @ tLU!
W? TihL_ 2 |i M@?! UL**iU|t |i hit*| Lu |t ?it|4i?|tc hiT@)t |i i |ih?@* _iM| sc @?_
T@)t S |L i@U _iTLt|LhD 6?@**)c |iti ULUit 4t| t@|tu) |i ?Ui?|i UL4T@|M*|)
47 Lq
wklv vxe0vhfwlrq zh fkdudfwhul}h wkh ehvw wkdw wkh edqn fdq gr iru lwv phpehuv> wkh qh{w vxe0vhfwlrq
ghdov zlwk zkhwkhu dqg krz wklv vroxwlrq fdq eh ghfhqwudol}hg1
48 Wklv lv zlwkrxw orvv ri jhqhudolw|/ dowkrxjk lq sulqflsoh wkh edqn pd| sd| glhuhqw dprxqwv wr oxfn| dqg
xqoxfn| djhqwv1 Zlwk ulvn qhxwudolw|/ wklv zrxog qrw pdnh dq| glhuhqfh1 Dv orqj dv wkhuh lv hyhq d vpdoo
ghjuhh ri ulvn dyhuvlrq/ krzhyhu/ lw ehfrphv vwulfwo| rswlpdo wr sd| wkh vdph wr erwk w|shv1
D
UL?t|h@?|
S
E2
? i T*@?@|L? Lu 2 t ? Lh_ih AL t4T*u) i TLt|L?c i @tt4i |@| ?*U!) @}i?|t
U@??L| *i @ML| ih |)Tit W? UL?|h@t|c *U!) @}i?|t U@? U*@4 |L @i Mii? | M) @ M@_
tLU!c LM|@? uhL4 |i M@?!c @?_ R@MtUL?_ | |i T@)4i?| W? |@| U@tic ti U@??L|
Mi U@}| M| t i?||*i_ |L ?L TihL_ 2 UL?t4T|L?S AL Thii?| @MtUL?_?}c S U@??L| Mi
t4@**ih |@? AL U@h@U|ih3i |i tL*|L? ELti @*it @hi _i?L|i_ M) R@|t }?Lhi |i ?Ui?|i
UL?t|h@?| uLh |i 4L4i?| W| U@? Mi tL? |@| |i M@?! ** L*_ i?L} *^_|) |L tLhi
T M@_ ?it|4i?|tc. |@| tc
K ' b
E
U 4T*it |@| UL?t4T|L? ? TihL_ 2 t
S ' -& n EK b s ' -E b s
Ee
EW| t i@t) |L tL |@| |i i^@*|) ? 4t| L*_ L|i |@| S t ?L| L?*) |L|@*
UL?t4T|L? ? TihL_ 2 M| @*tL |i i TiU|i_ |*|) Lu _iTLt|Lht
?i t|** @t |L UiU! |@| |i ?Ui?|i UL?t|h@?| S t t@|t€i_c Lh
49 Oxfn|
djhqwv fdqqrw/ krzhyhu/ zlwkgudz l lq shulrg 4 dqg f lq shulrg 5= Wkh lpsolflw dvvxpswlrq lv wkdw
w|shv ehfrph sxeolf lqirupdwlrq dw wkh ehjlqqlqj ri shulrg 5=
4: Lw lw zhuh rswlpdo iru wkh edqn wr sodq qrw wr vkruh xs edg lqyhvwphqwv/ lw zrxog eh rswlpdo wr vhw e @ 31
Wrwdo frqvxpswlrq lq shulrg 5 +dqg dovr h{ dqwh xwlolw|, zrxog wkhq eh jlyhq e| ^+4 ,U . u` z i= Exw
dvvxpswlrq D14 lq wkh dsshqgl{ +qhfhvvdu| vr wkdw djhqwv lq dxwdun| fkrrvh wr eh oltxlg, lpsolhv wkdw wklv
lv ohvv wkdq fa dv ghqhg e| 6171
S
- s
 n -b
ED
U i @tt4i uhL4 ihi L?
?i U@? ?L UiU! |@| S t }hi@|ih |@? LT|4@* UL?t4T|L? ?_ih ?__@* @|@h!)
E|i *@||ih t _ihi_ ? |i TTi?_ Ai M@?! 4ThLit 4@||iht Lih @|@h!)( |i hi@tL?
t |@| |i M@?! u@Uit ?L ?Uih|@?|)c @?_ i?Ui 4@) T*@? |L L*_ *itt *^_|) |@? @?
?__@* ? tL*@|L?H
Ai LT|4@* M@?! @**LU@|L? _giht uhL4 |i @|@h!) tL*|L? @*L?} tiih@* L|ih _4i?
tL?t W? T@h|U*@hc t?Ui |i Uhhi?| @UUL?| _i€U| ? TihL_ f t }i? M) & @ @?_ |i
@4L?| & _iL|i_ |L **^_ ?it|4i?|t t *@h}ih ?_ih @ M@?!c | uL**Lt |@| €?@?U@*
?|ih4i_@|L? i?*@h}it |@| _i€U| W| @*tL U@?}it |i ?i| uLhi}? @tti| TLt|L? Lu |i
iUL?L4) @t @ L*i W? TihL_ c |i ?i| uLhi}? @tti| TLt|L? t }i? M) K s ( t?Ui
€?@?U@* ?|ih4i_@|L? hi_Uit |i @4L?| K i*_ @MhL@_c |i ?i| uLhi}? @tti| TLt|L? t
t4@**ih | @ M@?! |@? ? @|@h!)b
2 #i4@?_ _iTLt|t @?_ **^_|)
Ai ThiLt tMtiU|L? _i?|€i_ |i Mit| @**LU@|L? |@| |i UL@*|L? Lu _iTLt|Lht U@?
@Uii ? Th?UT*i W? Th@U|Uic |i M@?! 4@) hi*) L? @*|ih?@|i t)t|i4t |L @||i4T|
4T*i4i?|?} |i tLU@* LT|44 6L**L?} 4U Lu |i *|ih@|hic |i hit| Lu |i T@Tih t
UL?Uih?i_ | |i t|_) Lu L?i tU t)t|i4c U i U@** _i4@?_ _iTLt|t h uLUt L?
4; Frpsduh 616 dqg D15 lq wkh Dsshqgl{1
4< Wkhvh dvvhuwlrqv iroorz iurp wkh Dsshqgl{1
.
_i4@?_ _iTLt|t 4@!it ti?ti ?L| L?*) MiU@ti |i) @hi Lu|i? LMtihi_ ? hi@*|)c M| @*tL
MiU@tic @t i t@** tiic |i) @hi @M*i |L 4T*i4i?| |i tLU@* LT|44
Kc @ _i4@?_ _iTLt| t)t|i4 t @ UL?|h@U| |@| Lh!t
Bi? |i LT|4@* @**LU@|L? E
Sc &c
@t uL**Lt ,@U _iTLt|Lh @}hiit |L thhi?_ih ih i?_L4i?| @?_ ih MLhhL?} U@T@U|) |L
|i M@?! @| |4i f W? TihL_  ti 4@) |_h@ uhL4 |i M@?! L? _i4@?_c tL |@| ti
U@? tLhi T ih **^_ ?it|4i?| u ?iUitt@h) EAt hiti4M*it @U|@* _i4@?_ _iTLt|t ?
|@| _iTLt|Lht 4@) |_h@ @| |ih _tUhi|L? W? TihL_ 2c _iTLt|Lht @i |i h}|
|L |_h@ Sc ThL_i_ |i) @i ?L| @MtUL?_i_
AL €?@?Ui |t LTih@|L?tc |i M@?! MLhhLt s ? TihL_ fc ?it|t & ? |i *L?}|ih4
@tti| @?_ K ? |i Lh*_ *^_ @tti| `i t@** @tt4ic uLh |i |4i Mi?}c |@| uLhi}? _iM|
UL?|h@U|i_ ? TihL_ f t _i uLh hiT@)4i?| ? TihL_ 2 @| @ UL?|h@U|@* ?|ihit| h@|i Lu 3ihL(
|i t}?€U@?Ui Lu |t @tt4T|L? ** Mi _tUtti_ @| |i Mi}???} Lu |i ?i | tMtiU|L?
Ai M@?! @}hiit |L ti K ' b |L €?@?Ui TihL_  |_h@@*tc @?_ -& ' -E b |L hiT@)
|i i |ih?@* _iM| @?_ tihUi |_h@@*t ? TihL_ 2
`i 4TLti |L @__|L?@* @tt4T|L?t L? |t t)t|i4 6ht|c ? TihL_  |i M@?! 4t|
tihUi _iTLt|Lht L? @ R€ht| UL4ic €ht| tihi_ M@tt2f W? TihL_  _iTLt|Lht t| |i
M@?! ? h@?_L4 Lh_ih NTL? @hh@* |L |i M@?!c @?_ @tt4?} |i M@?! t LTi?c i@U
_iTLt|Lh 4@) |_h@ L? _i4@?_ AL tihUi |_h@@*tc |i M@?! *^_@|it |t Lh*_
@tti| K ?|* i @t|i_c @?_ |i? | ThLUii_t |L *^_@|i *L?}|ih4 ?it|4i?|t Wu @** @tti|t
@hi *^_@|i_ *i |ihi @hi @}i?|t t|** ? *?i @||i4T|?} |L |_h@c |i M@?! }Lit
53 Zdoodfh
hqylurqphqw1
+4<<9, ghulyhv wklv vhtxhqwldo vhuylfh frqvwudlqw iurp pruh sulplwlyh dvvxpswlrqv rq wkh
H
M@?!hT| @?_ U*Ltit 5iUL?_c u |i M@?! __ ?L| U*Lti ? TihL_ c ? TihL_ 2 L|T| Eu
@?) t UL**iU|i_c _iTLt|Lht @?_ uLhi}? Uhi_|Lht @hi T@_c @?_ @?) thT*t t _t|hM|i_ |L
_iTLt|Lht `i t@** @tt4i |@|c ? TihL_ 2c |i M@?! tihUit €ht| |Lti _iTLt|Lht |@|
__ ?L| |_h@ ? TihL_ 
2
W? |i _i4@?_ _iTLt| t)t|i4 t| _itUhMi_c _iTLt|Lht u@Ui @ t|h@|i}U _iUtL? Lu L
@?_ i? |L |_h@ W? L|ih Lh_tc _iTLt|Lht @hi i?}@}i_ ? @? @?L?)4Lt }@4ic
Lti i^*Mh@ ?@|h@**) U@h@U|ih3i |i L|UL4it Lu |i t)t|i4 `i @hi ?L hi@_) |L
_itUhMi |Lti L|UL4it
€ht| hit*| t |@| |i _i4@?_ _iTLt| t)t|i4 @t @? L?it| i^*Mh4c ? U @**
_iTLt|Lht |_h@ @UULh_?} |L |ih |hi |)Titc |i M@?! L?Lht @** Lu |t UL44|4i?|t
|L uLhi}? Uhi_|Lhtc @?_ |i tLU@**) LT|4@* @**LU@|L? t LM|@?i_ Ai ?||L? t t4T*i
) UL?t|hU|L?c |i _i4@?_ _iTLt| t)t|i4 t ui@tM*i u _iTLt|Lht @U| L?it|*) Ai? |i
?Ui?|i UL4T@|M*|) UL?t|h@?|t i?thi |@| *)?} @ML| tLU!t @?_ @MtUL?_?} U@??L|
Mi ThL€|@M*i uLh *U!) _iTLt|Lht
Ai ThiLt hit*| 4T*it |@| |i _i4@?_ _iTLt| t)t|i4 U@? _iUi?|h@*3i |i Thiuihhi_
@**LU@|L? | |t t ?L| |i L?*) TLttM*|) Ai ThLM*i4 t |@|c MiU@ti L*_?} *^_|)
t ULt|*)c |i M@?! 4@) ULLti |L MiUL4i **^_ ? |i tLh| h? Ei ? TihL_  ? |i
ti?ti |@|
K n o & 54 Iru
ES
lqvwdqfh/ vxssrvh wkdw lq shulrg 4 hdfk ghsrvlwru fdq hlwkhu vwdqg lq olqh dw wkh edqn ru zdon wr wkh
_qh{w gd|*v% olqh dqg zdlw wkhuh1
b
At ?|ih?@|L?@* **^_|) UL?_|L? t@)t |@| |i TL|i?|@* tLh||ih4 LM*}@|L?t Lu |i
M@?! 4@) i Uii_ |t *^_@|L? @*i W?|ih?@|L?@* **^_|) t UhU@* t?Ui | t ?iUitt@h)
@?_ tUi?| uLh @ M@?! h? i^*Mh4 |L i t|
AL tii |@| ?|ih?@|L?@* **^_|) t @ tUi?| UL?_|L? uLh |i i t|i?Ui Lu @ M@?!
h? i^*Mh4c LMtihi |@| @ M@?! h? LUUht i? @** _iTLt|Lht |_h@ @?_ *U!)
L?it @MtUL?_ Bi? Sc |t Mi@Lh ** uLhUi |i M@?! |L *^_@|i @** @tti|t @?_ U*Lti
t @ UL?ti^i?Uic _iTLt|Lht ** ?L| Mi T@_ @?)|?} ? TihL_ 2c U ? |h? 4T*it
|@| | t ?__@**) LT|4@* uLh i@U Lu |i4 |L h? L? |i M@?! L?ihti*)c u S u@*tc
|i? |i M@?! ** ?L| i @t| |t hitLhUit ii? u @** _iTLt|Lht UL**iU| ? TihL_  Atc
|L}i|ih | |i @tt4T|L? @ML| ti?Lh|) Lu U*@4tc 4T*it |@| *U!) _iTLt|Lht |@|
@| ?|* TihL_ 2 ** Mi @M*i |L UL**iU| @| *i@t| |i ThL4ti_ S uhL4 |i M@?! | |i? |
U@??L| Mi ?__@**) LT|4@* uLh |i4 |L T@h|UT@|i ? @ h?
22
5?Ui S t i^@*i?| |L
o
E bE o
c
@ M@?! h? ** Mi TLttM*i u @?_ L?*) u *^_@|L? Lu |i *L?}|ih4 @tti| t tUi?|*)
ULt|*)
W? tLh|c @ _i4@?_ _iTLt| t)t|i4 4@) i4ih}i ? |t iUL?L4) @t @ UL**iU|i @||i4T| |L
4T*i4i?| |i tLU@* LT|44 Ai t)t|i4 4@) tUUii_ ? |t ThTLti u iih) _iTLt|Lh
Mi*iit |@| @** L|iht ** Mi@i L?it|*) OLiihc |i t)t|i4 4@) @*tL u@*G ti*uu*€**?}
55 D irupdo surri lv dv iroorzv1 Ohw u eh wkh iudfwlrq ri ghsrvlwruv uhsruwlqj edg oxfn> lq d uxq/ u A =
a lq shulrg 4= Wkh edqn zloo eh deoh wr uhsd| fa
Wkh edqn zloo eh irufhg wr oltxlgdwh o @ +u ,l@u xqlwv ri n
u
u
a
a U+u ,l@u . +4 u ,a
wr wkh +4 , ghsrvlwruv wkdw zdlw li U+n o, +4 ,a
f/ ru li Un
f= Exw wklv
pxvw eh wkh fdvh li 619 idlov1
2f
M@?! h?t @hi TLttM*i MiU@ti |i tLU@* LT|44 4@) 4T*) ?|ih?@|L?@* **^_|)
t i @h}i_ @| |i L|ti|c ? |t 4L_i* **^_|) @?_ ?tL*i?U) @hi U*Lti*) hi*@|i_
`i @i t|hitti_ |@| @ Uih|@? **^_|) UL?_|L? 4t| Mi t@|t€i_ uLh h? |L LUUh | ?
|@| U@ti |i h?t @hi ti*uu*€**?} ThiUti*) MiU@ti |i) *i@_ |L ?tL*i?U) @?! Uhi_|Lht
L _L ?L| h? ELh L U@??L| h?c *!i i |ih?@* Uhi_|Lht }i| ?L|?} ? TihL_ 2 MiU@ti
@** M@?! @tti|t @i Mii? *^_@|i_ ?_ | t ThiUti*) |i ULt|*) ?@|hi Lu |t *^_@|L?
|@| |h?t @? **^_ M@?! ?|L @? ?tL*i?| L?i
Ai ThLM@M*|) Lu Uhtit
W? |i ThiUi_?} tMtiU|L? i }?Lhi_ |i u@U| |@|c u @ M@?! h? LUUhtc |i i |ih?@* _iM|
UL?|h@U|i_ ? TihL_ f t _iu@*|i_ L? At t UL?tt|i?| | Lh i@h*ih @tt4T|L? Lu 3ihL
?|ihit| h@|it L? uLhi}? MLhhL?} L?*) u uLhi}? Uhi_|Lht Mi*iic @| | ' fc |@| @ Uhtt **
LUUh | 3ihL ThLM@M*|) Ai @?@*)tt Lu |i ThiLt tiU|L? 4@) ?ii_ |L Mi 4L_€i_
u Uhi_|Lht @hi h@|L?@* @?_ Uhtit LUUh | TLt|i ThLM@M*|) i? |i) @hi TLttM*i
Lhi }i?ih@**)c *i i t|@|i_ |@| h?t 4@) |@!i T*@Uic i __ ?L| _tUtt |i ThLM@M*|)
Lu tU h?t ?Lh |i igiU|t |@| tU @ ThLM@M*|) 4@) @i L? |i M@?!<t ThLM*i42
OL |L _i@* | |t tti t UL?|hLiht@*( Lh t|h@|i}) uL**Lt LLTih @?_ +Ltt EbbH
`i TLt|*@|i |i i t|i?Ui Lu @ TM*U*)LMtihi_ h@?_L4 @h@M*i |@| |@!it |i @*i 
| ThLM@M*|) R 5 dfc o Lh f | ThLM@M*|)  R Ai ?@|hi Lu |@| h@?_L4 @h@M*i t
@hM|h@h) M| 44@|ih@*c @t *L?} @t _iTLt|Lht @?_ Uhi_|Lht 4@) UL?_|L? |ih Mi@Lh
56 Lq wklv vxevhfwlrq zh nhhs wkh dvvxpswlrq wkdw doo iruhljq ghew frqwudfwhg lq shulrg 3 lv gxh lq shulrg
5= Wklv lv rqo| wr vlpsoli| wkh h{srvlwlrq/ exw lq idfw wkh glvwlqfwlrq ehwzhhq vkruw whup yhuvxv orqj whup
ghew kdv ehhq fuxfldo lq uhfhqw fulvhv1 Zh ghdo zlwk wkdw lvvxh lq wkh qh{w vhfwlrq1
2
L? |t hi@*3@|L?( Liihc i @tt4i |@| T@)4i?|t ThL4ti_ @| | ' f U@??L| Mi 4@_i
UL?|?}i?| L? | `i @*tL @tt4i |@| R t tUi?|*) t4@** tL |@| -E bE R : 
|ihtic |i *L?}|ih4 @tti| t ?tUi?|*) ThL_U|i E? @? i TiU|i_ @*i ti?tic @?_
| t LT|4@* |L ?it| iih)|?} ? |i *^_ Lh*_ @tti|
Ai M@?!<t ThLM*i4 t ?L |L ULLti @? @**LU@|L? ESc &c Kc |L 4@ 43i |i i TiU|i_
|*|) Lu |t hiThiti?|@|i _iTLt|Lh |@!?} ?|L @UUL?| |i uL**L?} LMtih@|L?t 6ht|c
|i @**LU@|L? 4t| Mi ui@tM*i u |ihi t ?L Uhtt 5iUL?_c |i @**LU@|L? ** _i|ih4?i
i|ih Lh ?L| @ Uhtt U@? LUUh Ai hit*|t Lu |i ThiLt tiU|L? 4T*) |@| @ }i?
@**LU@|L? 4@) hit*| ? @ Uhtt u @?_ L?*) u
: K n o&c
E.
? U U@ti i @tt4i |@| @ M@?! h? LUUht | ThLM@M*|) R
5iUL?_c u @ M@?! h? LUUhtc ?L| iih) _iTLt|Lh ** UL**iU| @| ti t Li_ M) |i
M@?! h @tt4T|L?t 4T*) |@| ? @ h? i@U _iTLt|Lh ** Mi tihi_ E@?_ |t Mi @M*i
|L |_h@ | ThLM@M*|) EK n o&*2e
6?@**)c u @ M@?! h? LUUhtc uLhi}? *L@?t UL?|h@U|i_ ? TihL_ f ** Mi _iu@*|i_ L?
At 4T*it |@| uLhi}? Uhi_|Lht ** _i4@?_ @? ?|ihit| h@|i }hi@|ih |@? 3ihL L? |iti
*L@?t ? Lh_ih |L UL4Ti?t@|i uLh |i ThLM@M*|) Lu _iu@*| #i?L|?} |i ?|ihit| h@|i L?
57 Wklv
iroorzv vlqfh rqo| d iudfwlrq +e . un,@l ri doo ghsrvlwruv zloo eh vhuyhg1 Khqfh wkh suredelolw| wkdw
d sduwlfxodu ghsrvlwru zloo eh vhuyhg htxdov wkh suredelolw| wkdw d xqlirup ^3> 4` udqgrp yduldeoh lv ohvv wkdq
ru htxdo wr +e . un,@l1
22
|LTihL_ *L@?t |L |i M@?! M) o c | t hi@_*) tii? |@|
;
A
A
A
? R*E R u . L*_tc
o ' A
A
A
= f
EH
u ?L|
W? |t t4T*i 4L_i*c |i tL*|L? Lu |i hit*|?} ThLM*i4 t t|h@}|uLh@h_ u R t t4@**
i?L} Wu @? @**LU@|L? t@|t€it K ' K ' b EtL |@| M@_ ?it|4i?|t U@? Mi tLhi_ T
@?_ . EtL |@| @ h? t TLttM*ic TihL_ 2 |L|@* UL?t4T|L? UL?_|L?@* L? ?L h? |@!?}
T*@Ui t
- E b E n o s ' S Rs
R
Eb
@?_c i?Uic |i i TiU|i_ |*|) Lu tU @? @**LU@|L? t
%
S
W
&
Rs
K n o&
' E R S n RE
R
Ef
' E R
S n REK n o & s E
L|i |@| S UL?ih}it |L S @t R }Lit |L 3ihLc @t tL*_ Mi i TiU|i_
W
? |i L|ih @?_c h?t ** ?L LUUh u |i ?i^@*|) ? . t hiihti_ At hi^hit
L*_?} *^_ @tti|t @| *i@t| @t *@h}i @t
K
WW
'
o
o
2
E2
5?Ui K
WW
: b uLh o t4@** i?L}c |i i TiU|i_ |*|) Lu tU @ h? ThLLu @**LU@|L? t
S
WW
' - E- K b s
WW
@?_ ThL4ti @ *@t| TihL_
AihiuLhic |i M@?! ** ?it| |i tLU@**) LT|4@* *ii*t EKc &
T@)4i?| Lu d
S s R*E Ro |L _iTLt|Lhtc *i@?} |ti*u *?ih@M*i |L @ h?c u S : S At
W
WW
hi^hit |i ThLM@M*|) Lu @ Uhtt |L Mi *itt |@?
R '
W
dE E ob oo E- 
E o dE- o E b bo
E
h? ** LUUh | ThLM@M*|) R u @?_ L?*) u R R W
W| uL**Lt |@| |i @?@*)tt Lu |i ThiLt tMtiU|L? hi4@?t itti?|@**) @*_ u R t
t4@** i?L} W? |t t4T*i 4L_i*c ? u@U|c |i M@?!<t ?it|4i?| _iUtL?t ** Mi i @U|*)
|i t@4i @t | R ' f( i?Uic uLh |i @?@*)tt Lu 4@?) ^it|L?t | t *i}|4@|i |L ThLUii_
@t u R ihi ? u@U| 3ihL ? |i L|ih @?_c @**L?} R |L Mi TLt|i ** |h? L| |L Mi
?uLh4@|i ? |i @?@*)tt Lu tL4i ttitc tU @t |i _i|ih4?@|L? Lu @tti| ThUit @?_ |i
t|hU|hi Lu ?|ihit| h@|it `i ** i T*L| |iti _i}hiit Lu uhii_L4 ? |i i TLt|L? |@|
uL**Lt W| t |L Mi ?_iht|LL_ |@| hit*|t LM|@?i_ | R ' f ** U@hh) Lih |L |i U@ti
? U R t t4@** M| t|hU|*) TLt|i
e `) |t 4L_i*q
`i ?L @i @ t4T*i uh@4iLh! | tL4i _ith@M*i @||hM|itG
2e
OL*_?} *^_|) t ULt|*)c @?_ ?|ih?@|L?@* **^_|) i4ih}it i?_L}i?Lt*) @t |i
LT|4@* hitTL?ti Lu @}i?|t |L |ih i?hL?4i?| Ai UL?ti^i?Ui t |@| RM@_ i^
*Mh@ U@ti_ M) ti*uu*€**?} Titt4t|U i TiU|@|L?t @hi TLttM*i
6?@?U@* ?t|||L?t 4@) ULLti |L *i@i |i4ti*it **^_ @?_ |ihiuLhi *?ih@M*i
|L Uhtit ii? u tU Uhtit @TTi? | TLt|i ThLM@M*|) At _Lit ?L| 4T*) |@|
**^_|) @?_ Uhtit @hi @*@)t @? ?i|@M*i L|UL4i Lu @? LT|4@* T*@?G @t i tL
Mi*Lc _t|Lh|L?t U@? @giU| @**LU@|L?t @?_ i?Ui *?ih@M*|) |L Uhtit
#L4it|U M@?!t @i |L |)Tit Lu Uhi_|LhtG _L4it|U _iTLt|Lht @?_ uLhi}? *i?_iht
Ai ?|ih@U|L? Mi|ii? |i4 U@? }i hti |L @ hU ti| Lu L|UL4itc | |i t3i @?_
4@|h|) Lu *L@?t uhL4 @MhL@_ 4@||ih?} @ }hi@| _i@* At t T@h|U*@h*) 4TLh|@?|
? *}| Lu |i hiUi?| t@? i Tihi?Uic ? U U@T|@* ?Lt ihi *@h}i MiuLhi |i
Uhtt @?_ @ Rh? M) uLhi}? Uhi_|Lht |h}}ihi_ 4U EM| ?L| @** |i |hLM*i u@Ui_
M) _L4it|U M@?!t
htit @i hi@* igiU|tc ?*!i €ht| @?_ tiUL?_ }i?ih@|L? 4L_i*t Lt|*) *^_@|L?
ELhc 4Lhi }i?ih@**)c ThLiU|t |@| @hi *iu| ?€?ti_ Lh ?L| ?_ih|@!i? MiU@ti Lu *@U!
Lu u?_?} U@? U@ti **^_ M@?!t |L tgih hi@* *Lttit @?_ MiUL4i _i u@U|L ?tL*i?|
BLih?4i?| TL*U) U@? 4@||ih ihi ? |L @)t 6ht|c TL*U) U@? UL?Ui@M*) i*T
@}i?|t hi*@ tL4i Lu |i UL?t|h@?|t T*@Ui_ M) |i i?hL?4i?| uLh ?t|@?Uic M) t?}
|i }Lih?4i?|<t TLih |L |@ @?_ MLhhLc 4@!?} hitLhUit @@*@M*i |L |i M@?!
i? |i) @hi ?ii_i_ 4Lt| 5iUL?_c TL*U) U@? @||i4T| |L Lgti| _t|Lh|L?t |@| *i@_
2D
|L R|LL 4U MLhhL?} Lh R|LL *||*i *^_|)c u @?) i t|
i | i T| |t 4L_i* |L Lh! uLh |i @?@*)tt Lu tiih@* ttit hi*@|i_ |L i4ih}?}
4@h!i|t Uhtit
e #iM| 4@|h|) @?_ U@T|@* Lt
Lt| @UUL?|t Lu |i t@? Uhtt t|hitt |i hL*i Lu tLh||ih4 _iM|2D L?|hit @giU|i_
ihi TiU*@h ? |@| |ih uLhi}? _iM|t ihi 4Lt|*) Lu tLh| 4@|h|)c @?_ Uhtit LUUhhi_
i? uLhi}? Uhi_|Lht T@?U!i_ @?_ hiuti_ |L hL** Lih |ih tLh||ih4 *L@?t
2S
6h4@?
@?_ 5|}*|3 EbbH h|iG RAi @M*|) Lu |t @h@M*ic M) |ti*uc |L Thi_U| |i Uhtit Lu bb.c
t hi4@h!@M*i
@?!t @?_ }Lih?4i?|t ? i4ih}?} 4@h!i|t Lu|i? t|u) |ih |i?_i?U) |L MLhhL tLh|
|ih4 RMiU@ti | t Ui@Tih At tL?_t ti?tM*i i?L} | |i |ih4 t|hU|hi Lu ?|ihit|
h@|it t _i|ih4?i_ M) |i ht!?itt Lu _gihi?| _iM| 4@|h|itc @?_ |iti tL*_ ? |h?
hiiU| |i TLttM*|) Lu @ Uhtt @ttLU@|i_ | **^_ TLh|uL*Lt L?ti^i?|*)c |i hL*i Lu
tLh||ih4 _iM| ? }i?ih@|?} @ Uhtt U@? L?*) Mi @?@*)3i_ ? @ 4L_i* Lu |i t4*|@?iLt
_i|ih4?@|L? Lu _iM| 4@|h|) @?_ |i |ih4 t|hU|hi Lu ?|ihit| h@|it W? |t tiU|L? i
ThLTLti L?i tU 4L_i* @?_ _ihi |t TL*U) 4T*U@|L?t2.
58 Dprqj
wkhp Fruvhwwl/ Urxelql dqg Shvhqwl +4<<;d,/ Udghohw dqg Vdfkv +4<<;, dqg Ixupdq dqg Vwljolw}
+4<<;,1
59 Iru dujxphqwv ri wklv vruw lq wkh frqwh{w ri wkh Dvldq fulvlv/ vhh Udghohw dqg Vdfkv +4<<;, dqg Fkdqj
dqg Yhodvfr +4<<;f,1
5: Wklv vhfwlrq odujho| iroorzv Fkdqj dqg Yhodvfr +4<<<,/ h{fhsw iru wkh dqdo|vlv ri h{whuqdolwlhv zklfk lv
qhz1 Revwihog +4<<7, kdv dovr glvfxvvhg wkh uroh ri ghew pdwxulw| lq jhqhudwlqj vhoi ixooolqj fulvhv/ dowkrxjk
kh glg qrw hqgrjhql}h wkh fkrlfh ri pdwxulw|1
2S
e Ai |ih4 t|hU|hi Lu ?|ihit| h@|it
L?t_ih |i 4L_i* Lu |i ThiLt tiU|L?c ?L @**L?} |i M@?! |L |@!i ML| tLh| @?_
*L?}|ih4 _iM| wi| _ Mi |i @4L?| |i M@?! MLhhLt uLh |L TihL_t t|@h|?} ? TihL_ fc
@?_ _r |i @4L?| | MLhhLt uLh ? TihL_ f |L Mi hiT@_ | ?|ihit| ? TihL_ ( Lu ULhtic
?_ih @TThLTh@|i UL?_|L?t |t *L@? U@? Mi hL**i_ Lih ? TihL_  Ai |L @4L?|t 4t|
t@|tu) |i Uhi_| Ui*?}
_ n _r s
Ee
`i !?L uhL4 H @| |i UL?|h@U|@* hi|h? t L? |LTihL_ *L@?t `@| @ML| or c |i
UL?|h@U|@* hi|h? L?iTihL_ *L@?tq Wu |i *L@? t hi?ii_ ? TihL_ c |i ?i| ?|ihit| h@|i
4t| Mi 3ihL | t|@h|?} ? TihL_ f uLh *L@?t hiT@)@M*i ? TihL_ c |L U@tit @hi TLttM*i
Wu |i M@?! ULLtit @? @**LU@|L? ? U @ h? t ?L| TLttM*ic |ihi t 3ihL ThLM@M*|) Lu
_iu@*| @?_ or 4t| Mi 3ihL | u |i @**LU@|L? t tU |@| @ h? 4@) @TTi?c *i?_iht
4@) ?L| hiUii u** T@)4i?|c @?_ |t ** Mi hiiU|i_ ? |i ?|ihit| Thi44 |i) U@h}i
Ai ti?Lh|) Lu U*@4t ? |i ii?| Lu @ h? ** _i|ih4?i |i t3i Lu |t Thi44 6Lh
|i t@!i Lu Mhi|)c i t|_) ihi L?*) |i t4T*it| U@ti ? U @** tLh||ih4 U*@4t @hi
i^@**) ti?Lh ? TihL_ G ? |i ii?| Lu @ h? _L4it|U _iTLt|Lht @?_ uLhi}? Uhi_|Lht @**
R}i| ? *?i @| |i M@?!c | |ih T*@Ui ? *?i Mi?} _i|ih4?i_ h@?_L4*)
Bi? @?) @**LU@|L?c |L|@* *^_ hitLhUit @@*@M*i |L |i M@?! ? |i ii?| Lu @ h?
i^@* K n o& t|h@}|uLh@h_ i |i?tL? Lu |i @?@*)tt Lu |i ThiLt tiU|L? 4T*it |@|
2.
@ h? t TLttM*i u @?_ L?*) u
n E n or _r : K n o&
Ee2
U t |i @TThLTh@|i ?|ih?@|L?@* **^_|) UL?_|L?2H
Wu @ h? t TLttM*ic | ** @TTi? | ThLM@M*|) Rc @?_ ? |@| U@ti i@U tLh||ih4
Uhi_|Lh ** UL**iU| |i ThL4ti_ hiT@)4i?| L?*) | ThLM@M*|)
^'
K n o&
E n or _r n Ee
5?Ui Uhi_|Lht @hi ht! ?i|h@* @?_ @i @ 3ihL LTTLh|?|) ULt| Lu u?_tc or ** Mi _i|ih
4?i_ M) |i UL?_|L? |@| |i i TiU|i_ ?i| hi|h? L? @ tLh| *L@? Mi 3ihL A@| tc
E n or E R n R^ ' 
Eee
At 4T*it |@| u @ Uhtt t TLttM*ic or R*E R ' o Oi?Ui @ |ih4 t|hU|hi
Lu ?|ihit| h@|it i4ih}it i?_L}i?Lt*)c @?_ ? |t |ih4 t|hU|hi tLh||ih4 _iM| t *itt
i Ti?ti E? |i UL?|h@U|@* ti?ti |@? *L?}|ih4 _iM| Ai ?||L? t |@|c ? |i ii?|
Lu @ Uhttc |i _iu@*| L? *L?} _iM| t UL4T*i|ic *i ?_ih Lh @tt4T|L?t tLh| _iM| **
Mi @| *i@t| T@h|*) L?Lhi_
5; Iru
wkh _rqo| li% sduw/ zh prgli| wkh vhqlrulw| dvvxpswlrq ri vxevhfwlrq 615 lq d qdwxudo zd|= li wkh
edqn lv dolyh lq shulrg 5> lw krqruv uvw wkh fodlpv ri wkrvh ghsrvlwruv dqg iruhljq vkruw whup fuhglwruv wkdw
glg qrw froohfw lq shulrg 4=
2H
e2 ,?_L}i?Lt 4@|h|) t|hU|hi
Ai M@?!<t ThLM*i4 t ?L |L ULLti |t ?it|4i?| TLh|uL*L @?_ |i LT|4@* 4@|h|)
t|hU|hi Lu |t uLhi}? _iM| ? Lh_ih |L 4@ 43i |i i*u@hi Lu |t hiThiti?|@|i _iTLt|Lh
Ai @?@*)tt Lu |t ThLM*i4 hi_Uit |L |@| Lu |L t4T*ih tMThLM*i4t 6ht|c tTTLti
|@| |i M@?! @_ |L tL*i |i @MLi ThLM*i4 hitTiU|?} |i @__|L?@* UL?t|h@?| |@| ?L
Uhtit Mi TLttM*i Ai? |i UL?t|h@?| n _r K n o& L*_ @i |L Mi hitTiU|i_ 5?Ui
| t i@t) |L tii |@| |i 4T*U| ULt| Lu |@| UL?t|h@?| t 4?43i_ M) ti||?} _r ' fc |i
@*i Lu tU tMThLM*i4 L*_ t| Mi }i? M) S c @t _ihi_ ? tMtiU|L? L|i |@|
WW
|i tMThLM*i4c @?_ i?Ui S c _L ?L| _iTi?_ L? R
WW
*|ih?@|i*)c tTTLti |@| |i M@?! @_ |L ULLti @? @**LU@|L? UL?tt|i?| | Uhtit W?
|@| U@tic | U@? Mi tL? |@| | t LT|4@* |L ti| @}@? K ' K ' bc @?_ & ' b Wu ?L Uhtt
LUUhtc |ihiuLhic |L|@* TihL_ 2 UL?t4T|L? ** Mi }i? M) -&Eno
r _r Eno, Es _r Oi?Ui |i @*i Lu |t tMThLM*i4 t
k
l
S7 ' @%_r E R -& E n or _r E n o, Es _r n R^
EeD
tMiU| |L e @?_ ee
*i@h*) |i Lih@** M@?!<t ThLM*i4 U@? ?L Mi tL*i_ M) tL*?} |i @MLi |L tMThLM
*i4t @?_ UL4T@h?} |ih @*it At 4T*it |@| |i @*i Lu |i M@?!<t ThLM*i4 t }i?
M) |i 4@ 44 Lu S7 @?_ S | S7 4t| Mi @| *i@t| @t *@h}i @t S @t _ihi_ ? tMtiU|L?
WW
W
( i?Ui | 4t| @*tL Mi *@h}ih |@? S
WW
uLh R t4@** i?L} W? L|ih Lh_tc uLh R t4@** |i
2b
Mit| @**LU@|L? ** Mi tU |@| @ Uhtt t TLttM*ic @?_ i t@** uLUt ? |@| U@ti
`@| t |i LT|4@* *ii* Lu tLh||ih4 _iM| i? |i M@?! ULLtit |L 4@!i |ti*u
*?ih@M*iq W? |t t4T*i 4L_i* | *?i@h Thiuihi?Uit @?_ |iU?L*L})c |i @?tih t t4T*i
E? u@U|c |LL t4T*iG S7 |h?t L| |L Mi |i t@4i uLh @** _r ? dfc s oc @?_ i?Ui |i LT|4@* _iM|
t|hU|hi t ?_i|ih4?@|i2b Ai ?||L? t |@|c *i tLh||ih4 _iM| t UL?|h@U|@**) *itt
i Ti?ti |@? *L?}|ih4 _iM|c |i ULt| _gihi?Ui L?*) UL4Ti?t@|it uLhi}? Uhi_|Lht uLh |i
T@h|@* _iu@*|t @ttLU@|i_ | |i |L !?_t Lu _iM| t @ UL?ti^i?Uic |i ULUi Mi|ii?
tLh||ih4 _iM| @?_ *L?}|ih4 _iM| t 44@|ih@* uLh €?@* UL?t4T|L?c U ULT*i_ |
ht! ?i|h@*|) i T*@?t |i hit*|
OLiihc u |i 4L_i* t @4i?_i_ tL |@| _L4it|U hit_i?|t @hi ii? 4*_*) ht! @ihtic
LT|4@* _iM| 4@|h|) t T??i_ _L?G i tL ? |i TTi?_ |@| |i M@?! ** €?_ |
t|hU|*) LT|4@* |L ti| _r ' f Ai ?||L? t |@|c *i |i ULUi Mi|ii? tLh| @?_ *L?}
|ih4 _iM| _Lit ?L| @giU| i TiU|i_ UL?t4T|L?c | U@?}it |i @**LU@|L? Lu ht! A@!?}
tLh||ih4 _iM| ?Uhi@tit i TiU|i_ UL?t4T|L? UL?_|L?@* ? @ Uhtt ?L| @TTi??} @| |i
i Ti?ti Lu hi_U?} |i ThLM@M*|) |@| _L4it|U _iTLt|Lht ** Mi tihi_ i? @ Uhtt
@TTi?t At t U@??L| Mi LT|4@* u _iTLt|Lht @hi ht! @ihti
W| uL**Lt |@|c ? |t 4L_i*c tLh||ih4 MLhhL?} t ?_ii_ tMLT|4@* OL U@? L?i
hiUL?U*i |t hit*| | |i LMtihi_ M@t |L@h_t tLh||ih4 MLhhL?} i4T@t3i_ ? |i
hiUi?| *|ih@|hiq ?i TLttM*|) t |@| |i M@t |L@h_t tLh||ih4 MLhhL?} hiiU|t tL4i
_t|Lh|L? ?L| U@T|hi_ M) Lh @tt4T|L?t `i _tUtti_ |t ?i |
5< Wkh
ghwhuplqdwlrq ri f dqg ri wkh rswlpdo ghew pdwxulw| lv dqdo|}hg lq wkh Dsshqgl{1
f
e @h!i| u@*hi
Aihi 4@) Mi 4@?) hi@tL?t ) _iM| ULUit M) ?__@* MLhhLiht 4}| Mi _t|Lh|i_c tL
|@| Th@|i @?_ tLU@* ?Ui?|it _L ?L| UL?U_i ?i Lu |i4 t |@| ?__@* MLhhLiht
u@* |L |@!i ?|L @UUL?| |i u@** ? UL?|h) ht! h@|?}t |@| 4@) hit*| uhL4 |ih L? }ih
MLhhL?} hi*@|i_ hi@tL?t t |@|c MiU@ti Lu ?uLh4@|L?@* *4|@|L?tc uLhi}? *i?_iht
U@??L| _t|?}t @UhLtt MLhhLiht uhL4 |i t@4i UL?|h)c @?_ |hi@| |i4 @** @t i^@**)
ht!) W?_ii_c |i TL*U) Lu tLihi}? Ui*?}t uL**Li_ M) h@|?} @}i?Uitc ? U ?L t?}*i
UL4T@?) U@? @i @ h@|?} }ih |@? |i }Lih?4i?| Lu |t UL?|h)c t}}it|t |@| |t
4@) i** Mi tLf
AL **t|h@|ic UL?t_ih @ t4T*i U@ti ? U |i tLh| 4@|h|) Lu uLhi}? _iM| t _i |L
|i u@U| |@| M@?!t u@* |L ?|ih?@*3i |i tLU@* igiU|t Lu hi_U?} |ih *^_|) 5TTLti
|@| |ihi @hi ?L| L?i M| 4@?) M@?!tc i@U Lu U tL*it |i t@4i ThLM*i4 @t ? |i
ThiLt tMtiU|L? M| | L?i UhU@* _gihi?UiG i@U M@?!t |@!it |i ?|ihit| h@|i or
E?t|i@_ Lu |i @hM|h@}i UL?_|L? ee @t }i? ? |t LT|43@|L? ThLM*i4 u ULhtic ee
4t| L*_ ? i^*Mh4
W? |i @TTi?_ i tL |@|c ?_ih Lh Mi?U4@h! @tt4T|L? Lu ht! ?i|h@*|)c i^
*Mh4 hi^hit |@| _r ' s Q|@| tc @** _iM| t Mi tLh| |ih4 Ai ?||L? tc LMLt*)c
|@| u M@?!t ihi ?_gihi?| @t |L |ih _iM| 4@|h|) t|hU|hi i? |i) ULhhiU|*) i@*
@|i_ |i ULt| Lu tLh||ih4 MLhhL?}c |i) 4t| t|hU|*) Thiuih tLh||ih4 |L *L?}|ih4
63 Vhh Ixupdq dqg Vwljolw} +4<<;, iru dgglwlrqdo uhdvrqv dv zhoo dv dq h{whqghg glvfxvvlrq1
64 Pruh suhflvho|/ dq htxloleulxp ri wklv prgho lv jlyhq e| dq doorfdwlrq dqg d vkruw lqwhuhvw
udwh vxfk wkdw
+l, wkh doorfdwlrq lv rswlpdo iru hdfk edqn zkhq lw wdnhv lqwhuhvw udwhv dv jlyhq/ dqg +ll, wkh doorfdwlrq dqg
wkh vkruw lqwhuhvw udwh vdwlvi| wkh duelwudjh frqglwlrq 7171

_iM| i? |@| ULt| t ?_ihit|4@|i_
At hit*| t i |hi4i _i |L ht! ?i|h@*|)c M| |i TL?| t }i?ih@*G |i Thi@*i?Ui Lu
tLh||ih4 MLhhL?} 4@) Mi hiiU|?} @? i |ih?@*|) Lu |i !?_ t| _tUtti_ Wu |@| t
? u@U| |i U@tic }Lih?4i?| ?|ihi?|L? |L _tULh@}i tLh||ih4 MLhhL?} t t|€i_2
h @?@*)tt 4T*itc Liihc |@| *i LT|4@* ?|ihi?|L? L*_ hi_Ui tLh||ih4 MLh
hL?}c | L*_ ?L| i*4?@|i |i TLttM*|) Lu UhtitG u TL*U) @t tUUittu* ? i*4?@|?}
|i igiU| Lu |i i |ih?@*|) _tUtti_ ihic | 4}| Mi t|** LT|4@* uLh M@?!t |L ULLti @?
?|ih?@|L?@**) **^_ @**LU@|L? @?_ Mi tMiU| |L Uhtit
ee L*U) 4T*U@|L?tG Uhtt Thii?|L?
Bi? |@| tLh||ih4 _iM| t @ TL|i?|@* U@ti Lu *^_|) ThLM*i4tc @?_ u |ihi t R|LL
4U Lu | MiU@ti Lu |i !?_ Lu 4@h!i| u@*hi t| _tUtti_c |ihi 4@) Mi @ U@ti uLh
TL*Uit |@| *i?}|i? |i 4@|h|) Lu |@| _iM| ?@|h@* U@?__@|i t |@ L? tLh|
|ih4 U@T|@* ?Ltc tU @t |@| ti_ M) *i @?_ L*L4M@ 5L|L @?_ V@*_‚ithi|L
EbbSc w@hh@?c w@M@? @?_ 4@UihL Ebb.c ‚@h_i?@t @?_ @hhih@ Ebb. @?_ L?|i* @?_
+i?@h| Ebb. it|4@|i |@| @ tu| ? UL4TLt|L? |L@h_ *L?}ih uLhi}? _iM| 4@|h|it t
ThiUti*) @| |i |@ it tii4 |L @i @UUL4T*ti_ ? ML| UL?|hit | tU @ UL?U*tL?
t tMiU| |L |L 4TLh|@?| U@i@|tG
W? Lh 4L_i*c @t ? |i hi@* Lh*_c tLh||ih4 _iM| tihit tL4i tiu* u?U|L?t Oihic |
tihit |L Rt@hi tL4i Lu |i ht! Lu h?t Mi|ii? _L4it|U @?_ uLhi}? Uhi_|Lhtc @?_ i?Ui
65 Lq wklv prgho/ krzhyhu/ wkh h{whuqdolw| fdxvhv qr glvwruwlrq dqg wkhuh lv qr zhoiduh orvv1 Wklv lv fohduo|
d frqvhtxhqfh ri rxu vwurqj dvvxpswlrqv> lq jhqhudo/ wkh h{whuqdolw| zloo ghfuhdvh zhoiduh1
2
*Lih |i UL?|h@U|@* ULt| Lu MLhhL?} Ai t@4i L*_ Mi |hi ? @ Lh*_ | t|LU@t|U
tLU!t |L i L}i?Lt @h@M*it *|ih?@|i*)c tLh||ih4 _iM| 4@) tihi @t @ UL44|4i?|
_iUic @t ? |i 4L_i*t Lu ai@??i EbbH @?_ +L_h! @?_ Vi*@tUL Ebbb L*Uit |@| 4@!i
tLh||ih4 _iM| ThLM|ic hi}@h_*itt Lu UhU4t|@?Uic ?ii_ ?L| i?@?Ui tLU@* i*u@hi
Ai L|ih ih) 4TLh|@?| U@i@| t |@| uLhi}?iht @hi ?L| |i L?*) tLh||ih4 Uhi_|Lht
Oi?Uic @ML*t?} tLh||ih4 _iM| t ?i|ih @ ?iUitt@h) ?Lh @ tUi?| UL?_|L? uLh h*?}
L| Uhtit t kh}4@? EbbH @t t|hitti_c |@| t|** *i@it @** L*_iht Lu _L4it|U U*@4t
L? |i UL44ihU@* @?_ Ui?|h@* M@?!t hi@_) |L h? L*Uit L|ih |@? *4|t L? tLh||ih4
?Lt @hi ?iUitt@h) |L _i@* | |t ThLM*i4 `i i @4?i tL4i Lu |Lti TL*Uit Mi*L
eD L*U) 4T*U@|L?tG Uhtt 4@?@}i4i?|
5Lh||ih4 _iM| 4@!it @ ULLh_?@|L? u@*hi @4L?} *i?_iht TLttM*i 4@? |@t! Lu Uhtt
4@?@}i4i?| t |L @||i4T| |L ULLh_?@|i |ih Mi@Lh L? |i R}LL_ L|UL4i u ULhtic
|t t i@tih t@_ |@? _L?i W? |t 4L_i*c |i !i) t |L @L_ |i hi@* ULt|t E*^_@|L? @?_
L|iht 4TLti_ M) i@h*) hiT@)4i?| Oi?Uic @ t4T*i ttTi?tL? Lu T@)4i?|t |@| Thitihit
|i Thiti?| @*i Lu |i Uhi_|Lht< U*@4t 4@!it iih)L?i Mi||ih Lg At !?_ Lu *L}U *i@_t
ki?i? EbbH |L L?_ih i|ih ? hiUi?| TL*U) _iM@|it R|ihi @t Mii? |LL 4U |@*!
Lu |i ?ii_ uLh Tih4@?i?| _iM| Lh!L|t @t _t|?U| uhL4 tLh||ih4 ttTi?tL?t Lu _iM|
tihUi T@)4i?|t
W? Th@U|Ui *i?_iht @hi i@h) Lu tU hitTL?tit 6hL4 i vLh! Lh wL?_L? | t @h_ |L
_t|?}t |i T@)4i?|t 4Lh@|Lh@ |@| @hi t|€i_ M) *^_|) UL?t_ih@|L?t uhL4 |Lti
|@| @hi i*i_ @||i4T|t @| _iu@*| `i? ? _LM|c M@?!iht @hi *!i*) |L ttTiU| |i *@||ih
Aihi t @*tL |i *L}t|U@* ThLM*i4 Lu ULLh_?@|?} |i @U|L?t Lu 4@?) ML?_L*_iht E|i
?Lh4 uLh 4Lt| U@T|@* Lt |L_@) h@|ih |@? @ ui M@?!t
| |i u@U| |@| |i |@t! t @h_ tL*_ ?L| !iiT TL*U)4@!iht uhL4 |h)?} @)4i?|t
hiThL}h@44?}t |@| @hi @UUL4T@?i_ M) tihLt 4@UhLiUL?L4U TL*Uit @?_ t}?@*t Lu
Lh|L_L ) EtU @t €tU@* hi|hi?U4i?| 4@) ThLi 4Lhi T@*@|@M*i W? kLhi@c uLh ?t|@?Uic
4ihU@?c ,hLTi@? @?_ a@T@?iti M@?!t L?|*) @}hii_ ? #iUi4Mih bb. |L @? Lh_ih*)
hL**Lih Lu i t|?} tLh||ih4 *L@?t @Lh Uhi_|Lh UL?|hit i*Ti_ M) @?|UT@|?} |i
_tMhti4i?| Lu @ uh@U|L? Lu |i M@*L| T@U!@}i |i W6 @_ t| @TThLi_ ALti |L
4i@thit igiU|i*) i?_i_ |i €?@?U@* T@?U |@| @_ }hTTi_ kLhi@ uLh tiih@* 4L?|t
W? Lh 4L_i*c @ }LL_ T@h| Lu |i ThLM*i4 UL4it uhL4 |i M@?!<t ?@M*|) |L ti** h@|ih
|@? *^_@|i |t **^_ @tti|t ? |i ii?| Lu @ t^ii3i A@| @tt4T|L? t hi@*t|U ?tLu@h
@tc ? @ Uhtt t|@|L?c |ihi @hi ui _L4it|U @}i?|t | |i U@t ? @?_ |L M) |i hi@*
U@T|@* | uLhi}?iht @hi ? @ _gihi?| TLt|L? ,ih)L?i L*_ Mi Mi||ih Lg u |hL}
uLhi}? _hiU| ?it|4i?| *^_@|L? UL*_ Mi @L_i_ ii? u |i ThUi t |@| Lu @ €hi
t@*ic Mi*L |i Thiti?| @*i Lu U@T|@*<t hi@* )i*_ ? |i u|hie Oi?Uic 6#W tL*_ Mi
i?ULh@}i_ uLh |iti ThTLtit #iM|i^|) t@Tt ?L*?} uLhi}? Uhi_|Lht T*@)i_ @ hL*i
? |i hitL*|L? Lu |i bHft _iM| Uhttc @?_ UL*_ Mi tiu* @}@? ? |i Uhhi?| UL?|i |
66 Wklv
ghvfulswlrq iroorzv Fruvhwl/ Urxelql dqg Shvhqwl +4<<;e,1 Wkh| dovr qrwh wkdw wkh uhvfkhgxolqj ri
ordqv zdv d pxfk pruh gdxqwlqj wdvn lq Lqgrqhvld/ zkhuh wkhuh zhuh odujh qxpehuv erwk rq wkh ohqghuv* dqg
wkh eruurzhuv* vlgh1
67 Ehfdxvh wkh zruog udwh ri lqwhuhvw lv }hur dqg rqh xqlw ri khdowk| fdslwdo |lhogv U xqlwv ri wkh wudghdeoh
jrrg lq shulrg 5/ wkh _ixqgdphqwdo% sulfh lv U1 Exw dq| sulfh vpdoohu wkdq U dqg eljjhu wkdq u pdnhv wkh
edqn dqg lwv fuhglwruv ehwwhu r/ zkloh jlylqj wkh iruhljq lqyhvwru dq deqrupdoo| kljk udwh ri uhwxuq1
e
*|*@|ih@* *i?_iht U@? @*tL i*T Ai) U@? *i?_ R?|L @hhi@ht i? @TThLTh@|i |L
t|hi?}|i? UL?€_i?Ui ? |i MLhhLih<t ThLtTiU|t Ai) U@? @*tL i?ULh@}i |i @_LT|L?
Lu U*@tit ? ?|ih?@|L?@* ML?_ ULi?@?|t |@| u@U*|@|i ?i}L|@|L?t Mi|ii? _iM|Lht @?_
Uhi_|Lht ii? i? _iM| tihUi t ttTi?_i_ t ki?i? EbbH TL?|t L|c tU ThLTLt@*t
ihi i?_Lhti_ M) |i Bf M@U! ? bbDc M| @i )i| |L Mi 4T*i4i?|i_ ? u**
D @?! hi}*@|L?
W? |t tiU|L? i t|_) L U@?}it ? hi}*@|L? Lh ? |i @@*@M*|) Lu _iTLt| ?th@?Ui
U@? @giU| |i M@?!t< *?ih@M*|) |L h?t
D 6?@?U@* *Mih@*3@|L?
L| U@t@* LMtih@|L? Lu hiUi?| Uhtit @?_ uLh4@* iUL?L4i|hU Lh! t}}it| |i i t|i?Ui
Lu 4TLh|@?| *?!t Mi|ii? €?@?U@* *Mih@*3@|L? @?_ Uhtit Ai iUL?L4i|hU Lh! Lu
k@4?t!) @?_ +i?@h| EbbS @?_ #i4h}Uk?| @?_ #i|h@}@Ui EbbH @t tL? |@|
€?@?U@* *Mih@*3@|L? ThiUi_it €?@?U@* Uhtit 54*@h Rt|)*3i_ u@U|t @i i4ih}i_ uhL4
U@ti t|_it Lu 4@?) ?L|LhLt Uhtt iTtL_itc ?U*_?} *i ? bH2c 5i_i? @?_ 6?*@?_
? bb2c i UL ? bbec @?_ t@ ? bb.D
wLih?} hitihi hi^hi4i?|t L? UL44ihU@* M@?!t t @ UL44L? *Mih@*3@|L? 4Li
i ULc uLh ?t|@?Uic *Lihi_ hi^hi_ hitihit L? TitL t}| _iTLt|t @** |i @) |L 3ihL
? |i €ht| @*u Lu |i bbft Ai h@|L?@*i t t@**) |@| tU hi_U|L?t i?@?Ui |i
68 Vhh Yhodvfr +4<;:/ 4<<5,/ Gruqexvfk/ Jrogidmq dqg Ydoghv +4<<8,/ Vdfkv/ Wruqhoo dqg Yhodvfr +4<<9e,
dqg Udghohw dqg Vdfkv +4<<;,1
D
iUi?U) Lu €?@?U@* ?|ih4i_@|L? h @?@*)tt 4T*it |@| |i UL?iU|hi t ULhhiU|c M|
@*tL |@| |ihi t @ t_i igiU|G *Lih hitihi hi^hi4i?|t ?Uhi@ti M@?!t< *?ih@M*|) |L
h?t
AL € _i@tc @tt4i |@| s ' fc @?_ UL?t_ih @ TL*@h TL*U) Lu ?@hhL M@?!?}c ? U
?|ih4i_@hit @hi hi^hi_ |L !iiT *^_ @tti|t ? @? @4L?| i^@* |L TL|i?|@* *^_
*@M*|itG K *i@h*)c ?L ti*uu*€**?} h?t U@? |@!i T*@Ui |c @| |i t@4i |4ic
|ihi t @ *Ltt ? i*u@hi hi*@|i |L |i ?Lh? i^*Mh4 W? u@U|c ? |t ih) t4T*i
4L_i*c ?@hhL M@?!?} t i^@*i?| |L @|@h!)( hi^h?} | _Lit @@) | @** |i Mi?i€|t
Lu €?@?U@* ?|ih4i_@|L? E|t t ?L| ?iUitt@h*) |hi ? 4Lhi UL4T*i 4L_i*t tii @?}
@?_ Vi*@tUL bbHM At U@T|hit ? @ ?|ti** @ hit*| |@| |h?t T tiih@* |4it |hL}
|t T@TihG 4@!?} )Lhti*u *^_ t i@t)c M| | t @*tL TL|i?|@**) i Ti?ti L| @?) TL*U)
|L i?@?Ui *^_|) ** _L
?L|ih TLT*@h *Mih@*3@|L? TL*U) t |L *Lih M@hhiht |L i?|h) ?|L |i M@?!?} tiU|Lh
Ei|ih M) _L4it|U Lh uLhi}? M@?!tc Thit4@M*) i?@?U?} UL4Ti||L? @?_ iUi?U)
| |i ThLM*i4 t |@| |i @__|L?@* UL4Ti||L? 4@) @*tL i?ULh@}i }hi@|ih ht!|@!?} M)
M@?!t A)TU@**) |i @h}4i?| t Th@ti_ ? |ih4t Lu Ruh@?Uti @*it U Thit4@M*)
u@** | UL4Ti||L?c tL |@| M@?!t @i *itt |L *Lti @?_ |ihiuLhi Mi@i *itt Th_i?|*)
B@hMih EbbSc uLh ?t|@?Uic h|itG R|i t__i? @_4ttL? Lu uLhi}? M@?!?} UL4Ti||L?
?|L @ t)t|i4 | *L U@T|@* U@? uh|ih hi_Ui |i uh@?Uti @*i Lu _L4it|U M@?!t @?_
*i@_ |L @ Uhtt |? @ ui )i@ht @t _L4it|U M@?!t UL4Ti|i |L hi|@? 4@h!i| t@hi
L_i*t *!i |i L?i ? |t T@Tih U@? _i*ih t4*@h hit*|t `*i i @i |hi@|i_ |i
S
M@?! @t @ UL@*|L? Lu ?__@* @}i?|t Mi?| L? 4@ 43?} |ih L?| i*u@hic @? @*|ih?@|i
?|ihThi|@|L? Lu Lh 4L_i* t |@| |i M@?! t @ TihuiU| UL4Ti||Lh ? @ M@?!?} 4@h!i| ?|L
U |ihi @hi ?L M@hhiht |L i?|h) 6hii i?|h) L*_ i?thi |@| i^*Mh4 ThL€|t ihi
3ihLc @?_ ? Lh_ih |L @||h@U| Ut|L4iht @?_ ?L| Mi ?_ihU| M) UL4Ti||Lht M@?!t L*_
@i |L Lgih _iTLt|Lht UL?|h@U|t |@| ThL4ti_ @t } @ *ii* Lu i TiU|i_ |*|) @t TLttM*i
AL @ttitt |i igiU|t Lu *Mih@*3@|L?c L?i 4@) @?@*)3i L @ *itt UL4Ti||i M@?!?}
t)t|i4 L*_ Mi@i ? |t UL?|i | `i t|_) |@| ^it|L? ? @?} @?_ Vi*@tUL EbbHMc
t?} @ hi*@|i_ 4L_i* |@| _h@t _hiU|*) L? #@4L?_ @?_ #)M} EbH Aihi i €?_
|@| @ 4L?LTL*) M@?! t *itt ThL?i |L h?t |@? UL4Ti||i M@?!t( |i }hi@|ih uh@}*|)
Lu UL4Ti||i M@?!?} @htit uhL4 |i *@h}ih h@|i Lu hi|h? | Lgiht tLh||ih4 _iTLt|Lht
+i*@|i |L UL4Ti||i M@?!tc |i 4L?LTL*) ** hi_Ui T@)4i?|t |L _iTLt|Lht At h|t
_iTLt|Lhtc M| ? }i?ih@* | @*tL 4T*it |@| |i TL|i?|@* tLh| |ih4 LM*}@|L?t Lu |i
M@?! @hi t4@**ih At 4i@?t |@| |i 4L?LTL*) M@?! ** Mi *itt **^_ Ai 4T*U@|L?
t |@| i?@?Ui_ UL4Ti||L? ? |i €?@?U@* tiU|Lh 4@) 4ThLi _iTLt|Lht< i*u@hi u ?L
h?t |@!i T*@Uic M| @| |i t@4i |4i | 4@) 4@!i Uhtit TLttM*i
D2 #iTLt| ?th@?Ui
W| t @ T*@tM*i UL?iU|hi |@| ti*u u*€**?} Uhtit L*_ _t@TTi@h u }Lih?4i?|t Lu i4ih}
?} iUL?L4it it|@M*ti_ @_i^@|i _iTLt| ?th@?Ui ?t|||L?t hit4@M*)c u _L4it|U
_iTLt|t ihi }@h@?|ii_ M) |i }Lih?4i?| _iTLt|Lht L*_ @i ?L ?Ui?|i |L h? L?
UL44ihU@* M@?!t W? @__|L?c |t L*_ tii4 |L i?|@* ?L ULt|c t?Ui |i ?th@?Ui u?_t
.
L*_ ?L| Mi ?ii_i_ ? i^*Mh4 W? |t tMtiU|L? i i @4?i |t UL?iU|hi #i
TLt| ?th@?Ui u?_t 4@) ?_ii_ i*4?@|i Uhtitc ThL_i_ |@| |i) @hi Lu tUi?| t3i
| _iTLt| ?th@?Ui t ?L| ULt|*itt @?_ 4@) hit*|c @| Mit|c ? |i 4T*i4i?|@|L? Lu @
tMLT|4@* @**LU@|L?
Oihi @?_ ? |i hit| Lu |i T@Tih i @tt4ic uLh t4T*U|)c |@| R ' f L?t_ih
|i t4T*i ti|T Lu tMtiU|L? c i UiT| |@| |i }Lih?4i?| hi^hit |i M@?! |L T@)
@ *4T t4 @4L?| 5 ? TihL_ f ? Lh_ih |L €?@?Ui @? ?th@?Ui u?_ Lu |i t@4i t3i
Ai }Lih?4i?| @}hiit |L !iiT 5 ? *^_ uLh4c @?_ |L |@!i Lih |i tihU?} Lu _iTLt|
|_h@@*t ? TihL_  ? U@ti |i UL44ihU@* M@?! h?t L| Lu hitLhUit ? |@| TihL_(
L|ihtic 5 t hi|h?i_ |L |i M@?! ? TihL_ 2S
Ai M@?!<t T*@???} ThLM*i4 t |i t@4i @t ? tMtiU|L? c i UiT| |@| |i hitLhUit |
U@? ?it| ? TihL_ f @hi }i? M) 5 ?t|i@_ Lu c @?_ |@| | ** @?|UT@|i @ *4T t4
|h@?tuih 5 ? TihL_ 2 Oi?Uic u 5 t ?L| |LL *@h}ic |i tL*|L? t ih) t4*@h @t ? tMtiU|L?
G |i M@?! ** L*_ t| i?L} *^_|)c bc |L !iiT @*i |i ?*U!) *L?}|ih4 @tti|tc
@?_ ?it| |i hit|c ?L & ' 5 bc ? **^_ @tti|t , TiU|i_ @?_ |L|@* UL?t4T|L?
? TihL_ 2 ** ?L Mi
Sn ' -& s n 5 ' S E- 5
ED
Ai *@t| i ThittL? 4T*it |@| M*_?} |i ?th@?Ui u?_ t ULt|*) @?_ ?iUitt@h*) hit*|t
? @ tMLT|4@* @**LU@|L? Ai ?||L? t |@| |i ?th@?Ui u?_ 4t| Mi !iT| ? *^_
69 Uhdghuv
idploldu zlwk Fkdqj dqg Yhodvfr +4<<;d, zloo uhfrjql}h wkdw wklv ghqlwlrq ri ghsrvlw lqvxudqfh
lv vlplodu wr wkh _zdu fkhvw% srolf| ri fhqwudo edqnv1
H
uLh4c Lti LTTLh|?|) ULt| t E-  Tih ?|
tt4i ?L |@| |i M@?! 4T*i4i?|t |t _ithi_ @**LU@|L? @ @ _i4@?_ _iTLt| t)t|i4
Wu
K n o& n 5 ' b n oE 5 b n 5 c
ED2
| tL*_ Mi ?||i*) LMLt |ihi U@??L| Mi @? i^*Mh4 h? L? |i M@?! W?_ii_c ?
@ h? @ *U!) _iTLt|Lh L*_ hiUii M) |_h@?} ? TihL_  @?_ @MtUL?_?}c *i
ti L*_ hiUii Sn ? TihL_ 2 M) ?L| |_h@?} ? TihL_  | |i? | U@??L| Mi
LT|4@* ih |L T@h|UT@|i ? |i h? Oi?Ui @? ?th@?Ui u?_ *@h}i i?L} L*_ i*4?@|i
|i TLttM*|) Lu h?tc M| U@??L| Mi LT|4@*
W| t @*tL Lu ?|ihit| |L @?@*)3i @| L*_ @TTi? u D2 u@*i_c |@| tc u |i ?th@?Ui
u?_ ihi ?tUi?| W? |@| U@tic @ h? L*_ U*i@h*) Mi TLttM*ic ? |i ti?ti |@| |
L*_ Mi @? i^*Mh4 uLh @** _iTLt|Lht |L @||i4T| |L |_h@ uhL4 |i M@?! Ai
?|ihit|?} LMtih@|L? @ML| tU @ Uhtt t |@| | L*_ Mi i Thitti_ @t @ u@*hi Lu _iTLt|
?th@?Uic t?Ui | L*_ Mi |i ?th@?Ui u?_ |@| L*_ ?L| Mi U@T@M*i Lu L?Lh?} |t
UL44|4i?|t
hi*@|i_ TL?| t |@|c ? Lh_ih uLh _iTLt| ?th@?Ui |L i*4?@|i Uhtitc |i ?th@?Ui
u?_ 4t| Mi tUi?| |L ULih |i ht! Lu @ }i?ih@*3i_ M@?!?} T@?Uc ?L| L?*) M@?! tTiU€U
ht! AL tii |tc tTTLti |@| _iTLt|Lht @hi i^@**) @**LU@|i_ ?L| |L L?i M| |L M@?!t
U@**i_ @?_ c @?_ |@| |ihi @hi |L t)44i|hU t|@|it Lu ?@|hi W? L?i t|@|ic |i uh@U|L?
Lu **^_ @tti|t | M) @ M@_ tLU! t : b ? M@?! @?_ b ? M@?! c @?_ Uiiht@
? |i L|ih t|@|i Oi?Ui |ihi t ?L @}}hi}@|i ?Uih|@?|)c @*|L} |ihi t M@?! tTiU€U
b
ht! 5TTLti ?L |@| |ihi t @? ?th@?Ui u?_ Lu t3i 5 ' E b |L Mi ti_ |L i*T
@ M@?! u | @t |L tihUi 4Lhi |@? b _iTLt|Lht ? TihL_  Ai?c U*i@h*)c |ihi t @?
L?it| i^*Mh4 ? U @** _iTLt|Lht |_h@ @UULh_?} |L |ih |hi |)Ti @?_ |i
?th@?Ui u?_ t ti_ |L i*T u?_ ?*U!) *L?}|ih4 ?it|4i?|t | u D2 u@*tc @ M@?!
h? t U*i@h*) @? i^*Mh4 At 4@) Mi |i hi@tL? ) _iTLt| ?th@?Ui ?t|||L?t
|@| TihuLh4 i** ? R?Lh4@* |4it tii4 ?_ihu?_i_ ? |4it Lu Uhtt
Ai 4@? UL?U*tL?G uLh @ UL?|h) |L Rti*u?thi |t M@?!?} t)t|i4 t TLttM*ic M|
ULt|*) @? | Mi _L?i Mi||ih M) ThU@t?} tU ?th@?Ui @MhL@_q u|ih @**c u *i?_iht U@?
_ihtu) @@) |i ht! Lu UL?|h)tTiU€U M@?! h?tc tU ?th@?Ui ?ii_ ?L| Mi i Ti?ti
At t Thit4@M*) |i *L}U Lu |i h}i?|?i TL*U) Lu UL?|h@U|?} @ *?i Lu Uhi_| EuLh U
@ Thi44 t T@_ @??@**) |L Mi ti_ ? U@ti Lu M@?! |hLM*it
Ai _i@ t @TTi@*?}c M| ?L| |L| TL|i?|@* _U*|it 6ht|c u |ihi t hi}L?@* Lh
}*LM@* UL?|@}L?c |i ht! Lu M@?! h?t ?ii_ ?L| Mi i@t*) _iht€@M*i uLh *i?_iht 5iUL?_c
|i LMLt TL|i?|@* uLh 4Lh@* @3@h_ 4@!it tU UL?|h@U|t @h_ |L h|i @?_ i?uLhUi Ah_
t |i tti Lu t3iG Thitt @UUL?|t T| |i h}i?|?i *?i Lu Uhi_| @| N5 mS M**L?c U
t @ t4@** uh@U|L? Lu 2 `i|ih *@h}ih @4L?|t 4@) Mi ThL_i_ M) |i 4@h!i| @| @
hi@tL?@M*i Thi44 t ?U*i@h
D L*U) 4T*U@|L?t
6h4@? @?_ 5|}*|3 EbbH h|i |@| R|i i_i?Ui |@| €?@?U@* *Mih@*3@|L? ?Uhi@tit |i
*?ih@M*|) Lu UL?|hit |L Uhtit t Lihi*4?} Ai i @4T*it i @i t| i @4?i_
ef
t}}it| ThiUti*) |i t@4i W| L*_ tii4c |i?c |@| |i U@ti uLh t|hi?}|i??} tTihtL?
@?_ U@hh)?} L| *Mih@*3@|L? ih) U@hiu**) t @*tL ih) t|hL?} ?_ ?_ii_c L?i €?_t tU
@_Ui Mi?} uhii*) _tTi?ti_ ? |i TLt| 4Lh|i4t |L |i hiUi?| Uhtit
| L?i tL*_ ?L| T| |LL 4U t|LU! L? €?@?U@* hi}*@|L? @*L?i @t |i T@?@Ui@ Lu
Uhtt Thii?|L? t i @i tii?c 4@?_@|?} ?t|||L?t |L hi4@? *^_ t ?L| Ui@T
Aihi t @*tL |i tti Lu _it}? @?_ i?uLhUi@M*|) Lu €?@?U@* hi}*@|L? +i}*@|Lht @i
Mii? Lihi*4i_c @?_ €?@?U@* Uhtit @i LUUhhi_c ? UL?|hit @t @_@?Ui_ @t a@T@?c
5i_i? @?_ |i N?|i_ 5|@|it `) tL*_ i4ih}?} 4@h!i|t _L @?) Mi||ihq
?_ 4@UhLiUL?L4U UL?_|L?tc u tUi?|*) tiihic U@? Lihi*4 ii? |i Mit| 4@?
@}i_ €?@?U@* t)t|i4 #ii*LTi_ UL?|h) M@?!t 4}| ?L| @i thi_ |i 4@tti _iThi
U@|L?t @?_ i |ih?@* Uhi_| t^ii3it |@| €?@?U@* ?t|||L?t ? A@*@?_c kLhi@ Lh h@3*
@i @_ |L u@Ui At t}}it|t |@| 4Lt| €?@?U@* Uhtit @hi @*tL 4@UhLiUL?L4U AL |@|
tti i ?L |h?
S Ai hi@* i U@?}i h@|i
5L u@h ? |i @?@*)ttc @** hi@* UL?ti^i?Uit Lu €?@?U@* _t|hitt @i UL4i uhL4 |i i@h*)
@?_ ULt|*) *^_@|L? Lu ?it|4i?| W?|ihThi|i_ ? @ *|ih@* ti?tic tU *^_@|L? U@? @*tL
@UUL?| uLh L?*) @ t4@** T@h| Lu |i L|T| *Lttit |@| i LMtihi ? i UL Lh A@*@?_
MhL@_ih ?|ihThi|@|L?c U ?U*_i_ ThLiU|t *iu| ?€?ti_ Lh ?L| ?_ih|@!i? uLh *@U!
Lu €?@?Uic L*_ |@!i t u@h|ih |c @t kh}4@? Ebbb @t @h}i_ R|i 4@? U@??i*
|L} U €?@?U@* T@?U @t |h?i_ }LL_ @tti|t ?|L M@_ ?L*i ?L| tL 4U T)tU@*
e
*^_@|L? Lh ?€?ti_ ThLiU|t @t 4@UhLiUL?L4U UhttG UL4T@?it |@| *LL!i_ tL*i?|
MiuLhi |i Uhtt @i }L?i ?_ih MiU@ti UL**@Tt?} ?it|4i?| @t ThL_Ui_ @ tiihi hiUit
tL?c Lh MiU@ti U@T|@* }| @t *i_ |L Uhhi?U) _iThiU@|L? |@| 4@!it |ih _L**@h _iM|t
M@**LL?
UULh_?}*)c i @hi *i_ |L i T*Lhi L Lh uh@4iLh! U@? Mi i |i?_i_ |L @UUL?| uLh
tU i?_L}i?Lt *^_@|L? igiU|tc @?_ |ihiuLhi ThL_i @ 4Lhi hi@*t|U @UUL?| Lu Uhtit
Ai !i)c @t UL?iU|hi_ M) kh}4@? Ebbb @?_ i@h*ih M) @*L EbbHc t |i Mi@Lh Lu
|i hi@* i U@?}i h@|i W?_ii_c hi@* _iThiU@|L? 4@) Mi UhU@* |L 4@!i M@?! h?t TLttM*i
@?_ 4*|T*) |ih _i*i|ihLt hi@* igiU|t
A@!i |i t@4i 4L_i* @t MiuLhic hiU@**?} |@| i @hi 4TLt?} R ' fc M| @__?} @ ?L?
|h@_i_ }LL_ At }LL_ t ThL_Ui_ M) 4@?) UL4Ti||i €h4t | @ t4T*i |iU?L*L})G @
_L**@h ?it|i_ ? TihL_ f )i*_t :  Lu |i ?L?|h@_i@M*i ? TihL_  At L|T| t |i?
t|Lhi_ @?_ UL?t4i_ ? TihL_ 2c @*L?} | |h@_i@M*it< UL?t4T|L?
6h4t ? |i ?L?|h@_i@M*i tiU|Lh 4t| MLhhL |i _L**@ht ?ii_i_ |L ?it| ? TihL_
f uhL4 |i UL44ihU@* M@?! *i@h*)c uLh |i M@?! |L Mi ?_gihi?| Mi|ii? *i?_?} |L
|i ?L?|h@_i@M*i }LL_ €h4t @?_ ?it|?} ? |h@_i@M*i }LL_tc |i h@|i Lu ?|ihit| T@_ M)
|i ?L?|h@_i@M*i ThL_Uiht 4t| Mi |i t@4i @t |i 4@h}?@* hi|h? i@h?i_ M) |h@_i@M*i
ThL_U|L?G -
W| uL**Lt |@| |i ThL€|tc _i?L4?@|i_ ? _L**@htc i@h?i_ M) |i hiThiti?|@|i ?L?
|h@_i@M*it ThL_Uih @hi *e -c ihi t |i @4L?| ?it|i_ M) |i |)TU@* ?L?
|h@_i@M*it €h4c @?_ e t |i ThUi Lu |h@_i@M*it ? |ih4t Lu ?L?|h@_i@M*it |@| tc |i
e2
hi@* i U@?}i h@|i Ai 3ihL ThL€| UL?_|L? i?thit |@| |t hi*@|i ThUi t }i? ?
i^*Mh4 M)
e7 '
-
ES
ihi LihM@ht _i?L|i i^*Mh4 @*it
Ai UL4TLt|L? Lu L|T| t _i|ih4?i_ L? |i _i4@?_ t_i tt4i |@| UL?t4iht
@i LMM#L}*@t Thiuihi?Uit @?_ @**LU@|i @ € i_ TLh|L? w Lu |L|@* UL?t4T|L? i Ti?_
|hi ? TihL_ 2 |L ?L?|h@_i_ }LL_tc @?_ @ TLh|L? E w |L |h@_i_ }LL_t 5?Ui hitLhUit
@**LU@|i_ M) |i M@?! |L _L4it|U ?it|4i?| @hi Kc |i @4L?| }L?} |L ThL_U|L? Lu
|h@_i@M*it t K W| uL**Lt |@| L|T| @?_ UL?t4T|L? Lu |h@_i@M*it t - E K c
*i L|T| @?_ UL?t4T|L? Lu ?L?|h@_i@M*it t L?t4ih LT|4@*|) UL?_|L?t |i?
_U|@|i |@|
w- E K ' E w
e
ES2
|c ? i^*Mh4c |i hi@* i U@?}i h@|i t i TiU|i_ |L Mi e7 ' *- W?tih|?} |t @*i
?|L S2 @?_ tL*?} |i hit*|?} i^@|L? 4T*it |@| |L|@* ?it|4i?| ? |i ?L?|h@_i@M*it
7 ' w E K @?_c ULhhitTL?_?}*)c ?it|4i?| ? |i |h@_i@M*it tiU|Lh t &7 '
tiU|Lh t 7 ' E w E K
K
W| L?*) hi4@?t |L UiU! i|ih | t LT|4@* uLh |i M@?! |L L*_ i?L} *^_|)
|L tLhi T _t|hitti_ ?it|4i?|t ? |h@_i@M*it Wu tLc |i _L**@h @*i Lu |L|@* i TiU|i_
e
UL?t4T|L? t - E b s( u ?L|c | t dE b- n boo E w n -w s Ai €ht|
LT|L? _L4?@|it ThL_i_ |@|
E w E- o : -
ES
U i @tt4i. t @ UL?ti^i?Uic 7K ' b
`i UL?U*_i |@| ?it|4i?| ? |h@_i@M*it t &7 ' E w E bc @?_ ?it|4i?| ?
7 ' w E b Ai _L**@h @*i Lu |L|@* L|T| @UUh?} |L |i M@?!
?L?|h@_i@M*it t ? TihL_ 2 uhL4 |i |L tiU|Lhtc }i? |i hi@* i U@?}i h@|i ? Sc t |ihiuLhi t4T*)
- E b
L?t_ih ?L L |t @**LU@|L? U@? Mi _iUi?|h@*3i_ M) 4i@?t Lu @ _i4@?_ _iTLt|
t)t|i4c ? U @}i?|t _iTLt|Lht thhi?_ih |ih i?_L4i?|t uLh |i h}| |L - E b
_L**@ht ? TihL_ 2 T*t _L**@ht ? TihL_  u ?*U!) Nt?} @h}4i?|t _i?|U@* |L |Lti
? i@h*ih tiU|L?t L?i U@? tL |@|c u |i ?Ui?|i UL4T@|M*|) UL?t|h@?| D t t@|t€i_c
|ihi t @? L?it| i^*Mh4 |L |i }@4i @4L?} _iTLt|Lhtc ? U iih)L?i hiTLh|t
|h|u**)
W| t @*tL TLttM*i |L @i ti*uu*€**?} M@?! h?tc @t ? i@h*ih tiU|L?t OLiihc |ihi t @
4iU@?t4 ihi |@| @t ?L| Thiti?| MiuLhi Ai !i) LMtih@|L? t |@| |i _L**@h hitLhUit
@| |i M@?!<t _tTLt@* ? TihL_  @hi |t *^_ @tti| L*_?}t bc T*t |i *^_@|L? @*i
7 T*t |i _L**@h 4@h!i| @*i Lu |i hiT@)4i?| Lu |i *L@? 4@_i
Lu |h@_i@M*it ?it|4i?| o&c
6: Lq
wkh prgho zlwk rqo| rqh jrrg wkh htxlydohqw frqglwlrq zdv z +U u, A Ul/ zklfk zdv jxdudqwhhg e|
rxu dvvxpswlrqv1 Khuh dq dphqghg yhuvlrq ri wkdw frqglwlrq zrxog uhdg +4 , +U u,z ^U +4 ,` l1
Wkdw zrxog jxdudqwhh wkdw lq wklv wzr0jrrg prgho djhqwv lq dxwdun| khog srvlwlyh oltxlglw|/ dqg wkdw vr grhv
wkh edqn +frqglwlrq 916 zrxog dozd|v krog,1
ee
|L ?L?|h@_i@M*it< ThL_U|L? | |t *@t| ^@?||) @hit | |i hi@* i U@?}i h@|i
W?_ii_c i t@ @MLi |@| @ hi*@|i ThUi Lu e7 }@h@?|iit 3ihL ThL€|t uLh |i MLhhLihc
7 e ' -w E b |L |i
U |i? |h@?tuiht |i L*i @*i Lu t hii?i i^@* |L *7
M@?! | @ 4Lhi _iThiU@|i_ hi@* i U@?}i h@|i E@ }ih ec L? |i L|ih @?_c |i ?L?
|h@_i@M*it €h4 t MhL!ic @?_ U@??L| hiT@) |i L*i @4L?| Li_ |L |i M@?! W?_ii_c uLh
7 _L**@htc U t *itt |@? | t UL?|h@U|@**) i?||*i_ |L
e : e7 |i M@?! ** }i| L?*) E*e
Lc u |ihi t @ M@?! h? |i |L|@* tTT*) Lu |h@_i@M*it ? |i iUL?L4) t L?*) b n
o E w E b Uc M) Sc t t4@**ih |@? |i - E w E b ?|t |@| L*_ @i
Mii? tTT*i_ | ?L h? Oi?Uic |i hi@* i U@?}i h@|i t ?L }i? M) @ UL?_|L? t4*@h
|L S2 M| i@*@|i_ @| |i ?i L|T| @?_ UL?t4T|L? *ii*tH
E w - E b
:
e '
- b n o E w E b
o
ESe
7 o n o &7 n b _L**@ht |L
W| uL**Lt |@| ? @ h? |i M@?! U@? @| 4Lt| @i @UUitt |L *e
4ii| |_h@@*t ? TihL_  Ai **^_|) UL?_|L? |@| t ?iUitt@h) @?_ tUi?| uLh @
h? |L Mi @? i^*Mh4 t |ihiuLhi
:
7
n o&7 n 7K
eo
6; Qrwlfh
ESD
wkdw qr frqvxpswlrq wdnhv sodfh xqwlo shulrg 51 Exw doo rxwsxw wr eh frqvxphg lq shulrg 5 uhdfkhv
wkh sxeolf douhdg| lq shulrg 41 Khqfh/ rqh fdq dvvxph wkdw doo wudghv wdnh sodfh lq shulrg 4/ vdwlvi|lqj wkh
frqvxpswlrq rswlpdolw| frqglwlrqv wkdw pxvw suhydlo lq shulrg 51 Gxulqj wudgh wkh uhdo h{fkdqjh udwh h lv
ghwhuplqhg1
eD
7 &7 @?_ 7Kc U@? Mi h||i? @t
Uc t?} Se @?_ |i _i€?|L?t Lu c
o
E b w
E b E w
ESS
t ? |i U@ti Lu |i 4L_i* | L?i }LL_c @ tUi?|*) t4@** o t ?iUitt@h) |L 4@!i
ti*uu*€**?} h?t TLttM*i
Ai UhU@* T@h| Lu |i @h}4i?| t |@| |i *^_@|L? @*i Lu |i M@?! t ?L i?
_L}i?Lt W| _iTi?_t L? |i hi@* i U@?}i h@|ic |hL} |i @*i Lu |i *L@?t |L |i
?L?|h@_i@M*it tiU|Lh( ? |h?c |i hi@* i U@?}i h@|i t _i|ih4?i_ M) i|ih @ Uhtt @T
7 o n o &7 n 7K -
7 n o &7 n 7K W? |t U@tic @ Uhtt
Ti?t At U@? Mi tii? 4Lt| U*i@h*) u *e
U@? @TTi? u @?_ L?*) u @ hi@* _iThiU@|L? t i TiU|i_ ? TihL_ 
?i 4}| @i |L}| |@| |i Thiti?Ui Lu ?L?|h@_i_ }LL_t L*_ }i |i }Lih?4i?|
}hi@|ih *@||_i ? _i@*?} | Uhtit u|ih @**c | t |h@_i_ }LL_t |@| @hi RtU@hUi ? TihL_
 i? |i iUL?L4) t ?|ih?@|L?@**) **^_ | @t *L?} @t |i |_h@@* Lu t3i |@|
@}i?|t U@? 4@!i t _i?L4?@|i_ ? |h@_i@M*itc |@| UL?iU|hi t ?ULhhiU|b 6Lh ?t|@?Uic
}?} |i }Lih?4i?| |i h}| |L MLhhL uhL4 |i ?L?|h@_i@M*it tiU|Lh ? TihL_  _Lit
?L| i*T Ai ThLUii_t Lu |i *L@? t|** L*_ @i |L Mi UL?ih|i_ ?|L |h@_i@M*i }LL_tc
MiU@ti | t tU }LL_t |@| @hi ?ii_i_ |L t|LT @? ?UTi?| M@?! h? ?_ t?Ui L?*) 7K
tU }LL_t @hi @@*@M*ic *^_@|L? L*_ t|** @i |L |@!i T*@Ui
Ai 4@? TL?| Lu |t tiU|L? t |@| ?|hL_U?} @ tiUL?_ }LL_ }it 4@UhLiUL?L4U
Ti?L4i?@ @ hL*i ML| ? ThL_U?} €?@?U@* Uhtit @?_ 4@}?u)?} |ih igiU|t W? |t
6< Zh
dqdo|}h ehorz wkh fdvh lq zklfk wklv oldelolw| lv ghqrplqdwhg lq whupv ri qrq0wudghdeohv1
eS
ti|Tc |i ULiUi?| w t |i t@hi Lu |i |h@_i_ tiU|Lh ? |i iUL?L4) 5?Ui |t t @*tL
|i tiU|Lh ? U U@T|@* t **^_c w t @*tL @ ThL ) uLh |i i |i?| |L U *^_@|L? t
|i tLhUi Lu |i hi@* ULt|t Lu @ €?@?U@* Uhtt Ai ULiUi?| w _Lit ?L| |L Mi T@h|U*@h*)
*@h}i uLh SS |L Mi t@|t€i_ @?_ Uhtit |L Mi TLttM*ief At 4T*it |@| @ }LL_ U?! Lu
|i u@** ? M@?! ?UL4i ? @ Uhtt 4@) UL4i uhL4 |i hi@* _iThiU@|L? @?_ |i hit*|?}
M@?!hT|U) Lu ?L?|h@_i@M*it ThL_Uihtc @?_ ?L| uhL4 |i T)tU@* *^_@|L? Lu @tti|t
6hL4 @ 4L_i**?} TL?| Lu ic hi@* igiU|t ihi hit*| uhL4 |i ?|ih@U|L? Lu @ €?@?U@*
tiU|Lh ?iUi?U) @?_ |i Mi@Lh Lu |i hi@* i U@?}i h@|i W? |@| ti?tic |t 4L_i* t
t4*@h |L |Lti M) @*L EbbH @?_ kh}4@? Ebbb Ai L?*) _gihi?Ui t ? |i @tt4i_
€?@?U@* ThLM*i4G @*L @tt4it M@?!hT|U) ULt|t @?_ kh}4@? UL**@|ih@* UL?t|h@?|tc
*i i @i ULt|*) *^_@|L? ? |i |h@_i@M*i tiU|Lh
S L*U) 4T*U@|L?tG Uhtt Thii?|L?
6LhU?} _L4it|U M@?!t |@| MLhhL ? _L**@ht |L *i?_ ? |i t@4i Uhhi?U) t @ TLT*@h
@) |L 4?43i ht! h @?@*)tt t}}it|t |@| TL*U) t *@h}i*) ti*itt W? |i ThiUi_?}
tMtiU|L?c @** M@?! MLhhL?} @?_ *i?_?} @t ? |ih4t Lu |h@_i@M*i }LL_t E*LLti*)c ?
|ih4t Lu uLhi}? Uhhi?U)c M| |@| __ ?L| ?t*@|i |i M@?! Ai hi@tL? t |@| |i hi@*
_i@*@|L? ht! t t4T*) T@tti_ L? |L €h4t ? |i ?L?|h@_i@M*i tiU|Lhc L _iu@*| T@h|@**)
L? |ih *L@?t i? |i hi*@|i ThUi Lu |ih L|T| u@**t ?i TiU|i_*)
`@| L*_ Lh! ? |t UL?|i | t |L @i ML| *L@?t |L |i ?L?|h@_i@M*i tiU|Lh @?_
73 Iru
lqvwdqfh/ 919 vkrzv wkdw li u @ 3/ lw lv vxflhqw wkdw A 4 1
e.
@| *i@t| tL4i M@?! *@M*|it _i?L4?@|i_ ? |ih4t Lu |i ?L?|h@_i@M*i }LL_ AL tii |t
4Lhi uLh4@**)c 4@}?i |@| |i UL?|h@U| ?L hi^hit |i M@?! |L T@) ?*U!) _iTLt|Lht
|i |h@_i@M*it i^@*i?| Lu e7 ?|t Lu ?L?|h@_i@M*it A@| t |L t@)c |i TLh|L? Lu |i
UL?|h@U| ULih?} TihL_  T@)4i?|t ?L _i?L4?@|it |iti |_h@@*t ? ?L?|h@_i@M*it
M| UL?|?it |L 4@!i |i4 T@)@M*i ? |h@_i@M*it *i@h*)c |t _Lit ?L| @giU| |i ThLT
ih|it Lu |i L?it| i^*Mh4G @ 4i@thi b Lu _iTLt|Lht t|** |_h@ e7*7
e ' ?|t
Lu |h@_i@M*itc U @**Lt |i4 |L hit|Lhi _@4@}i_ ?it|4i?|t |c @t L?i U@? hi@_*)
tLc |i **^_|) UL?_|L? uLh @ h? i^*Mh4 |L Mi TLttM*i U@?}it |L
e7
7
: o
n o &7 n 7K
o
e
e
ES.
5?Ui E7
e*eo c |i ThiUi_?} UL?_|L? t 4Lhi t|h?}i?| |@? |i L?i uLh |i U@ti ? U
@**L@M*i |_h@@*t @hi _i?L4?@|i_ ? |h@_i@M*itc SD Oi?Uic U@?}?} |i _i?L4?@|L?
Lu M@?! *@M*|it 4@!it |i M@?! *itt *?ih@M*i |L @ h?
Ai ?||L? t t4T*iG ? |i ii?| Lu @ h? |i hi*@|i ThUi Lu ?L?|h@_i@M*it u@**tc
U hi_Uit |i ?4Mih Lu ?|t Lu |h@_i@M*it |i M@?! 4t| @?_ Lih |L |Lti L t|
? TihL_  L|Ui |@| |t *L}U UL*_ Mi i |i?_i_ |L uLhi}? _iM| UL?|h@U|tc U i @i
?i}*iU|i_ |L UL?t_ih ihi Wu uLhi}? *L@?t ihi _i?L4?@|i_ ? |ih4t Lu ?L?|h@_i@M*itc
|ih tihUi ULt| L*_ @*tL u@** ? |i ii?| Lu @ h??_Ui_ hi@* _iThiU@|L?c uh|ih
@**i@|?} |i *^_|) TLt|L? Lu |i M@?!
OL |L @Uii |t ? Th@U|Uiq ?i TLttM*|) t |L hit|hU| |i _L4it|U M@?! |L MLhhL
L?*) uhL4 *LU@* *i?_iht At t T*@tM*i u ?@|L?@* t@?}t @hi } @?_ |i _L4it|U U@T|@*
eH
4@h!i| _iiT E*i t Lu|i? *@_i_ L? |iti }hL?_tc T@h|*) MiU@ti Lu |t Th@|3i_ Ti?tL?
t)t|i4 | U@T|@*TLLh i4ih}?} iUL?L4it ** t|** |)TU@**) @?| |L h? Uhhi?| @UUL?|
_i€U|t @?_ 4TLh| U@T|@* uhL4 @MhL@_( u M@?!t @hi ?L| @**Li_ |L _L |tc tL4iL?i i*ti
E*!i W?_L?it@? ULhTLh@|it ThLM@M*) ** ? @*|ih?@|i t |L i?ULh@}i uLhi}? *i?_iht |L
*i?_ ? _L4it|U Uhhi?U)c @?_ i?Ui t@hi | *LU@* MLhhLiht tL4i Lu |i i U@?}i ht!
wL@?t ? ?L4?@* TitLt @hi ?*!i*)c M| *L@?t ?_i i_ |L |i _L4it|U ThUi *ii* @i 4Lhi
Lu @ h?} Lu T*@tM*|) }@?c *i @t 4@_i tL4i ThL}hitt @*L?} |iti *?itc i?ULh@}?}
@ ?@tUi?| 4@h!i| uLh ?_i i_ uLhi}? *L@?t
S2 L*U) 4T*U@|L?tG Uhtt 4@?@}i4i?|
W? |t 4L_i* |i hi@* i U@?}i h@|i _iThiU@|it MiU@ti L|T| @?_ UL?t4T|L? Lu |h@_i
@M*it u@**t hi*@|i |L |@| Lu ?L?|h@_i@M*itc tL |i hi*@|i ThUi Lu |i uLh4ih 4t| hti
Ai Mit| @) |L _i@* | |tc Lu ULhtic L*_ Mi |L }i| hi@* hitLhUit |L |i @?_t Lu |i
M@?! MiuLhi | *^_@|it |t ?it|4i?|c |ihiM) Thii?|?} |i u@** ? |h@_i@M*it< L|T|
? i^@*i?| TL*U) L*_ Mi |L i |i?_ i4ih}i?U) ?L?M@?! *L@?t Lu Uhi_| |L €h4t ? |i
|h@_i@M*i tiU|Lhc tL |@| |i) UL*_ hiT@) |ih *L@?t |L *LU@* M@?!t |L| @?} |L U|
_L? |hiit Lh T@_*LU! u@U|Lhit
W? Th@U|Ui ?i|ih TL*U) t *!i*) |L Mi ih) tiu* Bi||?} |i 4L?i) |L |i h}| T*@Ui
^U!*) i?L} t _U*| W?uLh4@|L?@* @t)44i|hit E) L*_ uLhi}? M@?!t *i?_ |L
€h4t |@| @hi Mi?} hiuti_ *LU@* Uhi_|q @?_ |i TL|i?|@* uLh 4Lh@* @3@h_ 4@!i 4@||iht
ii? 4Lhi UL4T*U@|i_
eb
5|h@}| M@*@?Ui Lu T@)4i?|t tTTLh| 4}| Mi i@tih @?_ t| @t igiU|i Ai ThLM*i4
ihi t |@| *LU@* L|T| Lu |h@_i@M*it u@**t @?_ tL _Lit |ih UL?t4T|L? | |h@_i@M*it
U@? @*tL Mi 4TLh|i_c ThLTT?} T UL?t4T|L? *ii*t @?_ i?Ui @L_?} hi@* _iThiU@|L?
6Lhi}? *i?_iht @?_ 4*|*@|ih@*t 4@) uhL? @| |i |L}| Lu i4ih}i?U) *L@?t |L €?@?Ui
UL?t4T|L?c M| ? |@| UL?|i | |@| t i @U|*) @| t ?ii_i_ ?_ @ Ti??) Lu tTTLh|
4@) _L @ TL?_ Lu }LL_G } *ii*t Lu |h@_i@M*it UL?t4T|L? Thii?| M@?!hT|Uit ? |i
?L?|h@_i@M*it< tiU|Lhc @?_ Thii?| @ @h4u* 4*|T*ih igiU| uhL4 !U!?} ?
. BLih?4i?| _iM|t @?_ _i€U|t
W? |i tL U@**i_ R€ht| }i?ih@|L? 4L_i*t Lu Uhtit Ekh}4@? b.bc M@*@?Ui Lu T@)4i?| Uhtit
ihi *|4@|i*) U@ti_ M) L?}L?} €tU@* _i€U|t OLiihc €tU@* @UUL?|t ihi itti?|@**) ?
M@*@?Ui MiuLhi |i i U@? bbe @?_ |i t@? bb.bH Uh@titc @?_ i?Ui R€ht| }i?ih@|L?
4L_i*t @i u@**i? @ M| L| Lu u@tL? At _Lit ?L| 4i@? |@| €tU@* _iM|t @?_ _i€U|t
@hi hhi*i@?| |L hiUi?| Uhtit M|c ?t|i@_c |@| |i hi*i@?| U@??i* t ?L| @| |i i@h*ih
*|ih@|hi t|hitti_ Ai U@??i* uhL4 _i€U|t |L Uhtit h?t ?L| |hL} |i 4L?i|3@|L?
Lu }Lih?4i?| €?@?U?} }@Tt( |i ThLM*i4 @t 4Lhi |L _L | |i igiU|t |@| }Lih?4i?|
_iM| itTiU@**) u tLh||ih4 @t L? |i Lih@** *^_|) TLt|L? Lu |i UL?|h)<t €?@?U@*
t)t|i4 @*L EbbD @t |i €ht| |L hiUL}?3i |t
Ai hL*i Lu |i ?u@4Lt AitLML?Lt ? |i i U@? bbe Uhtt TL? U @*L<t
LMtih@|L?t ihi M@ti_ t ?L i** !?L?( @ 4Lhi hiUi?| i @4T*i t h@3* i*@^@
i| @* EbbH hiTLh| |@| M) )i@hi?_ bbSc |i h@3*@? }Lih?4i?| @_ @TThL 4@|i*)
Df
N5 mDf M**L? ? L|t|@?_?} _L4it|U tiUh|itc | @? @ih@}i 4@|h|) Lu Hf _@)t
`*i _@|@ L? |i ThiUti 4@|h|) t|hU|hi t ?L| @@*@M*ic |t ?4Mih @*L?i t U@ti
uLh UL?Uih?G L? @ih@}ic N5 m.D M**L? @_ |L Mi hL**i_Lih M) |i h@3*@? }Lih?4i?|
iih) ti4it|ih ) UL?|h@t|c ?|ih?@|L?@* hitihit ihi L?*) t*}|*) @MLi N5 mDH M**L?
@| |i i?_ Lu bbS At TL|i?|@**) i T*Lti t|@|L? t}}it|t ) h@3* @t |i w@|?
iUL?L4) @h_it| | M) |i hiihMih@|L?t Lu |i t@? 4i*|_L? ? |i tiUL?_ @*u Lu bb.
W? Li4Mih Lu |@| )i@h @ tTiU*@|i @||@U! @}@?t| |i hi@* uLhUi_ |i @|Lh|it |L
?Uhi@ti ?|ihit| h@|it |L e2 TihUi?| E@| @ |4i i? _L4it|U ?@|L? @t h???} @| *itt
|@? D TihUi?| Tih @??4 @?_ |L @??L?Ui U|t @4L?|?} |L 2 TihUi?| Lu B# uhL4 |i
}Lih?4i?| M_}i| Ai U|t ihi ?iih 4T*i4i?|i_ @?_ |i @t|hL?L4U@* hi@* ?|ihit|
h@|it Uhi@|i_ @ t@hT 4L?i|@ht| @h|4i|U ThLM*i4 tiUL?_ @?_ 4Lhi _h@4@|U T@U!@}i
@t *@?Ui_ ? *@|i bbHc |t |4i | W6 M*itt?}c M| |i Uhhi?U) UL**@Tti_ @?)@)
? a@?@h) bbb | |i |4i Lu h|?}c hi@* ?|ihit| h@|it hi4@? }c @?_ _iM| _)?@4Ut
@hi t|** i T*Lti Lh U*Lti |L | #L4it|U _iM| @t hti? |L Lih De TihUi?| Lu B# `|
4@tti hL**Liht ?iUitt@h) iih) 4L?|c h@3* hi4@?t *?ih@M*i
5TTLti |@| |i }Lih?4i?| @t |L h@ti tL4i u?_t ? TihL_ f 5TiU€U@**)c tTTLti
|@| | ?ii_t |L €?@?Ui tL4i i Ti?_|hi |@| ULt|t } _L**@htc @?_ | @t _iU_i_ |L L*_ %
_L**@ht ? *^_ uLh4 t@)c uLh _iTLt| ?th@?Ui ThTLtit |@| ** Mi |h@?tuihhi_ |L |i
UL44ihU@* M@?! u |ihi t ?L ?ii_ |L €}| @ h?
?i @) |L €?@?Ui |i hi^hi_ @4L?| A ' E} n % t |L |@ _L4it|U hit_i?|t ?
TihL_ f 6hL4 |i iTL?| Lu |i UL44ihU@* M@?!c |t T*@???} ThLM*i4 t |i t@4i @t
D
? tMtiU|L? c i UiT| |@| |i hitLhUit |@| | U@? ?it| ? TihL_ f @hi }i? ?L| M) M| M) A c @?_ |@| |i M@?! ** hiUii @ |h@?tuih % ? TihL_ 2 W| t ?L| @h_ |L tL
|@| |i i TiU|i_ |*|) uLh UL?t4iht Lu |t LT|L? t
S@ ' -E A b s n % ' S E- % -}
+i*@|i |L |i tLU@* LT|44 Sc |t LT|L? 4T*it @ ULt| Lu L*_?} *^_|)c E- %( ?
@__|L? |ihi t |i ULt| Lu T@)?} uLh }Lih?4i?| i Ti?_|hic -}
5TTLti ?L |@| |ihi t @? @*|ih?@|iG |i }Lih?4i?| U@? MLhhL A ? ?|ih?@|L?@*
4@h!i|t W? Lh_ih |L hiT@) |t _iM|c tTTLti |@| |i }Lih?4i?| U@? *i) @ |@ c Lti h@|i
t c L? |i hi|h? |L *L?}|ih4 ?it|4i?| ? TihL_ 2 Ai UL44ihU@* M@?!<t ThLM*i4
t |i t@4i @t ? tMtiU|L? c i UiT| |@| |i TihUii_ hi|h? |L *L?}|ih4 ?it|4i?|
t -E c ?t|i@_ Lu -c @?_ |@| | ** hiUii @ |h@?tuih % ? TihL_ 2 Oi?Ui i TiU|i_
UL?t4T|L? ** Mi
SK ' -E E b s n %
E.
Lc uLh |i }Lih?4i?| |L Mi @M*i |L hiT@) |t _iM|c | 4t| Mi |@|
-& ' -E b ' A
E.2
L4M??} |i |L ThiLt i ThittL?t i LM|@?
SK ' -E b A s n % ' S }c
D2
E.
4T*)?} |@| SK : S@ Oi?Ui | t iUi?| uLh |i }Lih?4i?| |L MLhhL ? Lh_ih |L €?@?Ui
|t ?ii_t ? TihL_ f
`i @ic |ihiuLhic @ t|@|L? ? U | t }LL_ uLh |i }Lih?4i?| |L Mi ? _i€U|
OLiihc @ UhU@* TL?| t |@|c *i €tU@* _i€U|t 4@) ?L| Mi M@_ Tih tic |i) 4@) Uhi@|i
ThLM*i4t MiU@ti Lu |ih €?@?U?} AL tii |tc tTTLti |@| |i }Lih?4i?| MLhhLt @
uh@U|L? j Lu |i A _L**@ht ?ii_i_ ? TihL_ f @t @ tLh||ih4 *L@? Ai hi@_ih U@? UiU!
|@|c u @** uLhi}? Uhi_|Lht hL** Lih |ih *L@?t ? TihL_  @?_ @** _iTLt|Lht |_h@
L?it|*)c |ihi t ?L T@?U @?_ UL?t4T|L? t }i? M) . OLiihc tTTLti |@| uLhi}?
Uhi_|Lht hiuti |L hL** Lih |ih *L@?t |L |i }Lih?4i?|c @?_ |@| _L4it|U _iTLt|Lht @*tL
T@?U Ai?c u
n jA : % n K n o &c
E.e
i TiU|@|L?t Lu @ Uhtt 4t| Mi ti*u u*€**?}G @** @tti|t Lu |i iUL?L4) ** Mi *^_@|i_c
@?_ |i UL44ihU@* M@?!?} t)t|i4 ** MiUL4i M@?!hT|e
`) L*_ uLhi}? Uhi_|Lht t|LT *i?_?} |L |i }Lih?4i?|q iU@ti |i Uhtt 4T*it
|@| @** Lu & ** Mi *^_@|i_ ? |i TihL_ c @?_ i?Ui |ihi ** Mi ?L €tU@* hii?i ?
TihL_ 2 W? Lh_ih Lh_tc |i i TiU|@|L? Lu @ €tU@* Uhtt L*_ |h}}ih |i hiut@* Lu uLhi}?
*i?_?}c U |ti*u Uhi@|it |i €tU@* Uhtt
At @** @tt4it |@| |i Uhtt @TTi?t | 3ihL ThLM@M*|) Wu | @TTi?i_ | TLt|i
ThLM@M*|)c |i? ht!?i|h@* uLhi}? *i?_iht L*_ @t! |L Mi UL4Ti?t@|i_ uLh |i *Ltt ? |i
74 Zh
duh pdnlqj dq lpsolflw dvvxpswlrq wkdw lq shulrg 4 wkh jryhuqphqw dqg wkh frpphufldo edqn*v
edodqfh vkhhw fdq eh hhfwlyho| frqvrolgdwhg1 Vxfk zrxog eh wkh fdvh li/ iru lqvwdqfh/ wkh jryhuqphqw zhuh
deoh wr wd{ wkh edqn lq shulrg 4 lq rughu wr qdqfh wkh glhuhqfh ehwzhhq W dqg {=
D
ii?| Lu h? L?|h@U|@* ?|ihit| h@|it L? *L@?t |L |i }Lih?4i?| L*_ i Uii_ Lh*_ h@|it
@}@?c i L*_ @i @ |ih4 t|hU|hi Lu ?|ihit| h@|itc @?_ } h@|it @** @hL?_ L?i Lu
Uc Lu ULhtic ML_it i** uLh t|@M*|) O} h@|it ?Uhi@ti |i tihU?} ULt| Lu _iM|c @?_
U@? i@t*) *i@_ |L @ 4L?i|@ht| @h|4i|U ThLM*i4 E? u@U|c |t t @ T*@tM*i ?|ihThi|@|L?
Lu h@3*<t hiUi?| |h@@*t | u |i }Lih?4i?| |hit |L *Lih tihU?} ULt|t M) hitLh|?}
|L tLh||ih4 _iM| E?Uhi@t?} jc *?ih@M*|) t ?Uhi@ti_e2
?i L|ih @tTiU| _itihit @||i?|L? L?_|L? .e 4@) Mi t@|t€i_ ii? u |i ?th@?Ui
u?_ % tii4t tUi?| |L ULih t)t|i4U ht!c |@| tc .e @?_ % n K n o & 4@) L*_
t4*|@?iLt*) W? |t U@tic @ Uhtt U@??L| Mi TLttM*i ?*itt uLhi}? Uhi_|Lht hiuti |L hL**
Lih |ih tLh||ih4 *L@?t
. L*U) 4T*U@|L?tG Uhtt Thii?|L?
Ai t|hL?}it| 4T*U@|L? Lu |i ThiUi_?} @?@*)tt t |@| |i €tU@* @|Lh|)<t tLh||ih4
_iM| TLt|L? tL*_ Mi |@!i? ?|L @UUL?| i? |h)?} |L 4i@thi |i _i}hii Lu TL|i?|@*
**^_|) Lu @ UL?|h) i@thit *!i 2 Lih hitihit Lh tLh||ih4 Th@|i _iM| Lih
hitihit |)TU@**) u@* |L _L |t ) *@|i bbe i UL @_ N5 m2b M**L? ? *^_ AitLML?Ltc
@?_ L?*) N5 mS M**L? ? U@t hitihit ET*t @?L|ih mS M**L? ? Uhi_| *?it uhL4 @u|@
T@h|?iht Oi?Uic ?i| Lu }Lih?4i?| tLh||ih4 _L**@h UL44|4i?|tc i UL @_ ?i}@|i
hitihite
75 Ri
frxuvh/ wkh sureohp zrxog glvdsshdu li zhuh }hur/ wkdw lv/ li doo jryhuqphqw ghew zdv orqj whup1
Exw wkh jryhuqphqw/ mxvw dv wkh edqn zkrvh sureohp zdv glvfxvvhg lq vhfwlrq 6 deryh/ pd| qg lw rswlpdo
wr eruuurz vkruw whup1
76 Qrwlfh wkdw/ li wkh h{fkdqjh udwh lv {hg/ vxfk qhwwlqj rxw vkrxog lqfoxgh doo vkruw0whup sxeolf ghew/ qrw
mxvw groodu ghew1 Wklv srlqw/ zklfk zdv phqwlrqhg lq vhfwlrq 5/ lv lpsolhg e| wkh dqdo|vlv ri wkh qh{w vhfwlrq1
De
.2 L*U) 4T*U@|L?tG Uhtt 4@?@}i4i?|
ih) UL?|hLiht@* TL?| ? hiUi?| _tUttL?t t |i _i}hii |L U W6 _tMhti4i?|t
tL*_ @i Mii? UL?_|L?@* L? t@hT €tU@* hi|hi?U4i?| M) |i |hLM*i_ UL?|hit @?)
Uh|Ut @i @UUti_ |i u?_ Lu Lhti??} |i Uhtt M) ?tt|?} L? €tU@* @t|ih|) @t @
ThiUL?_|L? uLh *i?_?} h 4L_i* *i?_t tL4i tTTLh| |L |t Uh|Ut4 5TTLti |@|
A t @ *L@? ?L| uhL4 Th@|i Uhi_|Lht M| uhL4 @? ?|ih?@|L?@* ?t|||L?c tU @t |i
W6 5TTLti @*tL |@|c ? !iiT?} | Uhhi?| Th@U|Uic _tMhti4i?| Lu A ? TihL_  t
UL?_|L?@* L? ThLtTiU|i €tU@* _tUT*?i W? @? L?it| i^*Mh4c €tU@* hii?i ? TihL_
2 t *@h}ic @?_ t|€it |i hi*i@ti Lu |i A _L**@ht ? TihL_  | ? @ h? i^*Mh4c
|@ hii?i ? TihL_ 2 t _it|hL)i_ @?_ A t ?L| hi*i@ti_ , TLt|c | ** *LL! *!i |i
?|ih?@|L?@* @}i?U)<t _iUtL? |L |L*_ A @t t|€i_ | U*i@h*) |i Uhtt L*_ @i
?L| LUUhhi_ u |i @}i?U) @_ UL44||i_ A ?UL?_|L?@**) u ULhtic |ihi @hi 4@?)
L|ih hi@tL?t uLh UL?_|L?@*|) ?_ €tU@* @_t|4i?| 4@) ?_ii_ Mi ?ii_i_c itTiU@**)
u _iM| @t M*| T @?_ |i ULt|t Lu M@?! M@*L|t @hi 4L?|?} | ? @_LU@|?} tU
UL?_|L?@*|) L?i tL*_ Mi 4?_u* Lu |i TL|i?|@**) ti*u_iui@|?} 4iU@?t4 }*}|i_
ihi
*tLc |i _tUttL? ? tiU|L? Lu L |L _i@* | ULLh_?@|L? u@*hi M) *i?_iht hi
4@?t @TT*U@M*i W? |i ii?| Lu @ Uhtt *i?_iht @hi T@?U!?}c @?_ iih)L?i L*_ Mi Mi||ih
Lg u |ih @U|L?t UL*_ Mi ULLh_?@|i_ i}L|@|i_ _iM| hL**Liht @?_ t4*@h t|h@|i}it @hi
U*i@h*) Lu ti ihi @t i**
DD
H Ai i U@?}i h@|i hi}4i
h @?@*)tt tL u@h @t @Mt|h@U|i_ uhL4 4L?i|@h) UL?t_ih@|L?t vi| |i) @hi U*i@h*) UhU@*
uLh TL*U) ThTLtit ?*) @u|ih i |i?_?} |i 4L_i* |L ?|hL_Ui _L4it|U Uhhi?U) L?i U@?
_tUtt |i ThLTih hL*i Lu Ui?|h@* M@?!t ? ThL_?} Uhi_|c hi}*@|?} |i 4L?i) tTT*)c Lh
4@?@}?} i U@?}i h@|it
W? |t tiU|L? i 4L_u) |i M@tU 4L_i* Lu tiU|L? |L @**L uLh |i i t|i?Ui Lu _L4it|U
@?_ uLhi}? 4L?i)ee t t}}it|i_ ? |@| tiU|L?c @tt4i |@| |ihi t @? ?|ih?@|L?@*
Uhhi?U) ER_L**@htc @?_ |@| |i _L**@h ThUi Lu @ ?| UL?t4T|L? ? |i Lh*_ 4@h!i| t
€ i_ @| L?i `| |t |h@* i |i?tL?c |i @?@*)tt Lu ThiLt tiU|L?t U@? Mi ?|ihThi|i_
@t @TT*U@M*i |L @? iUL?L4) |@| t UL4T*i|i*) R_L**@h3i_eD
W? Lh_ih |L @**L uLh L|ih TLttM*|itc @tt4i |@| |ihi t @ _L4it|U Uhhi?U)c hiuihhi_
|L @t RTitLt itLt @hi ULt|*itt*) tti_ M) @ _L4it|U i?|h@* @?! _i4@?_ uLh TitLt
U@? Mi ?|hL_Ui_ ? tiih@* @)tc M| uLh |i t@!i Lu t4T*U|) @tt4i ihi |@| |ihi t @
*i}@* hit|hU|L? |@| uLhUit _L4it|U M@?!t |L T@) |t _iTLt|Lht ? TitLt
5?Ui |i M@?!<t tLhUit Lu u?_t @hi ? _L**@htc |ihi 4t| Mi tL4i @hh@?}i4i?| M)
U |i i?|h@* @?! ThL_it TitLt |L |i UL44ihU@* M@?! 5?Ui _iTLt|Lht hiUii
TitL T@)4i?|t uhL4 |i UL44ihU@* M@?! M| ?ii_ _L**@ht |L M) UL?t4T|L? ? |i Lh*_
4@h!i|c |ihi 4t| Mi tL4i t)t|i4 M) U |i i?|h@* @?! ti**t _L**@ht |L _iTLt|Lht
Aiti @hh@?}i4i?|t @hi @| i U@** @ hi}4i #gihi?| @tt4T|L?t @ML| |i i?|h@*
77 Wklv vhfwlrq lv edvhg rq Fkdqj dqg Yhodvfr +4<<;d,1
78 Zkloh wklv revhuydwlrq lv wulyldo iurp d wkhruhwlfdo shuvshfwlyh/
lw kdv qrqwulyldo frqvhtxhqfhv lq sudfwlfh/
lq sduwlfxodu iru wkh rqjrlqj ghedwh rq uhsodflqj Odwlq Dphulfdq fxuuhqflhv zlwk wkh XV groodu1
DS
@?!<t Uhi_| TL*U)c Lh @ML| |t i U@?}i h@|i TL*U)c }i hti |L |i t|_) Lu _gihi?|
hi}4it
H Uhhi?U) ML@h_
Ai t4T*it| hi}4i t @ Uhhi?U) ML@h_ W? @ Uhhi?U) ML@h_c |i i?|h@* @?! t|@?_t
hi@_) |L ti** Lh M) TitLt uLh _L**@ht @| @ € i_ i U@?}i h@|ic U i t@** € @| L?i EW|
t tiu* |L |?! Lu |i i?|h@* @?! @t @ i?_?} 4@U?ic U }it L?i TitL uLh i@U
_L**@h _iTLt|i_ ? |c @?_ UL?ihti*)
Bi? @ Uhhi?U) ML@h_ E@?_ ? u@U| }i? @*tL |i L|ih hi}4it i t@** t|_) |i
M@?!<t T*@???} ThLM*i4 t |i t@4i @t ? tiU|L?  Ai ?|ihit|?} ^it|L? tG L
tUUittu* t @ _i4@?_ _iTLt| t)t|i4 ? 4T*i4i?|?} |i tLU@* LT|44 ? |i _gihi?|
hi}4itq W? Lh_ih |L @?tih |c i ?ii_ |L @*|ih |i @tt4T|L?t Lu tMtiU|L? 2 |L
@UUL44L_@|i |i ti Lu _gihi?| Uhhi?Uit W| t t4T*it| |L 4L_u) |i ti^i?|@* tihUi
UL?t|h@?| ? |i uL**L?} @) t ? tMtiU|L? 2c @| |i Mi}???} Lu TihL_  _iTLt|Lht
t| |i UL44ihU@* M@?! ? h@?_L4 Lh_ih ,@U _iTLt|Lh 4@)c TL? ih @hh@* @| |i
M@?!c |_h@ TitLt L? _i4@?_c @tt4?} |i M@?! @t ?L| }L?i M@?!hT| Ai 4@?
@tt4T|L? t |@|c @u|ih t|?} |i M@?!c _iTLt|Lht L? @ tiUL?_ R*?ic |t |4i @| |i
i?|h@* @?!c |L i U@?}i @|iih TitLt |i) 4@) L*_ uLh _L**@ht @| |i € i_ i U@?}i
h@|i Ai UL44ihU@* M@?!c ? |h?c tihUit |_h@@*t M) *^_@|?} |t @tti|t @?_ ti**?}
|i hit*|?} hii?i EU t ? _L**@ht uLh TitLt @| |i i?|h@* @?!
Bi? |i |4?} Lu ii?|tc |i i?|h@* @?! U@??L| h? Lu _L**@ht |L L?Lh |t i U@?}i
D.
h@|i UL44|4i?|( ? L|ih Lh_tc ? @ Uhhi?U) ML@h_ |ihi U@??L| Mi @ M@*@?Ui Lu T@)4i?|t
Uhtt OLiihc |ihi 4@) t|** Mi @ M@?!?} UhttG @t MiuLhic |i UL44ihU@* M@?! }Lit
M@?!hT| ? TihL_  uc @u|ih *^_@|?} @** Lu |t @tti|tc |ihi @hi t|** _iTLt|Lht ? *?i
@||i4T|?} |L |_h@ Wu |i M@?! __ ?L| U*Lti ? TihL_ c ? TihL_ 2 |i M@?! *^_@|it @** Lu |t ?it|4i?|tc
@?_ hiT@)t uLhi}? Uhi_|Lht @?_ _iTLt|Lht( |i *@||ih @hi T@_ ? TitLt |@| |i M@?! LM|@?t
uhL4 ti**?} _L**@ht |L |i i?|h@* @?! #iTLt|Lht |i? t| |i i?|h@* @?! |L i U@?}i
|ih TitLt uLh _L**@ht U U@? Mi ti_ |L M) UL?t4T|L?
At UL4T*i|it |i _itUhT|L? Lu @ Uhhi?U) ML@h_ hi}4i t_i uhL4 |i u@U| |@| |i
UL44ihU@* M@?! T@)t _iTLt|t ? TitLt |@| _iTLt|Lht i U@?}i M@U! uLh _L**@htc |i 4L_i*
t itti?|@**) |i t@4i @t ? tMtiU|L? 2 t @ UL?ti^i?Uic @ Uhhi?U) ML@h_ hi}4i
4T*it |i t@4i L|UL4it @t ? |@| tMtiU|L? Aihi t L?i L?it| i^*Mh4 ? U
|i tLU@* LT|44 t LM|@?i_ | @*tLc |ihi @ h? i^*Mh4 ? U @** @}i?|t @||i4T|
|L |_h@ TitLt @?_ |i UL44ihU@* M@?! }Lit M@?!hT| ? TihL_  u @?_ L?*) u |i
**^_|) UL?_|L? S L*_t
W? tLh|c |i @?@*)tt Lu @ UL4T*i|i*) _L**@h3i_ iUL?L4) ? ThiLt tiU|L?t @TT*it
|L @ Uhhi?U) ML@h_ Lhi 4TLh|@?|c |i Uhhi?U) ML@h_ t ?L T@?@Ui@G *i M@*@?Ui Lu
T@)4i?|t Uhtit @hi ?L| ui@tM*ic M@?! Uhtit 4@) t|** LUUh At tc ? 4L_ih? *@?}@}ic @
UL?U*tL? |@| iUL?L4t|t @i !?L? @| *i@t| t?Ui @}iL|G t)t|i4t |@| |i |i Ui?|h@*
M@?!<t @?_t @?_ Thii?| | uhL4 Th?|?} 4L?i)c @*tL Thii?| | uhL4 UL4?} |L |i hitUi
Lu M@?!t @| |4it Lu |hLM*i N?_ih @ Uhhi?U) ML@h_ Lh |i }L*_ t|@?_@h_c |i _L4it|U
DH
M@?!?} t)t|i4 @t ?L _L4it|U *i?_ih Lu *@t| hitLh| Ai ThUi Lu *L ?@|L? 4@) Mi
i?_i4U €?@?U@* ?t|@M*|)
L| iih)L?i uii*t |t t @ ThLM*i4 #Lh?MtU EbbH @t hiUi?|*) h||i?G RAi
UL?|ih @h}4i?| |@| Uhhi?U) ML@h_t Lh u** _L**@h3@|L? t@Uh€Ui |i *i?_ih Lu *@t| hitLh|
u?U|L? @hi _iiT*) 4t}_i_ wi?_ih Lu *@t| hitLh| U@? hi@_*) Mi hi?|i_c @*L?} |
M@?! tTihtL?c M) hi^h?} €?@?U@* ?t|||L?t |L U@hh) LgtLhi }@h@?|iit | L
i @U|*) _Lit L?i hi?| tU @ *i?_ihq `i @h}i_ ? |i _tUttL? L? _iTLt| ?th@?Ui |@|
Uhi_| *?it h}i?|?it|)*i @hi @ t|iT ? |i h}| _hiU|L?c M| |i) @hi ?*!i*) |L Mi *@h}i
i?L} |L ULih |i M*! Lu |i *^_ *@M*|it Lu @ UL?|h)<t €?@?U@* t)t|i4 Uhhi?|*)
u@tL?@M*i @*|ih?@|i t |L i?ULh@}i uLhi}? L?ihtT Lu _L4it|U M@?!tc LT?} |@|
i^|) L*_iht @MhL@_ ** tihi @t *i?_iht Lu *@t| hitLh| }@?c |t t ThLM@M*) @ }LL_ _i@c
M| @ UL4T*i|i*) ?|it|i_ L?i `** |M@?! N5 h_i |L |i hitUi iih) |4i |@| w@|?
Lh t@? M@?! ? U | @t @ f TihUi?| i^|) t|@!i }i|t ?|L |hLM*iq ih@Tt |
@?}?} @ L*i €?@?U@* t)t|i4<t i@*| L? |@| UL?iU|hi tii4t ht!) ?_ii_
H2 6 i_ h@|it | @ *i?_ih Lu *@t| hitLh|
Ai h*it Lu @ Uhhi?U) ML@h_ Thii?| |i i?|h@* @?! uhL4 @ttt|?} |i UL44ihU@* M@?!
? |i ii?| Lu @ h? At 4@) t}}it| |@| Uhtit 4@) Mi @L_i_ u |i i?|h@* @?! *i?|
i?L} TitLt |L |i UL44ihU@* M@?! |L Thii?| |t u@*hi Aihi t 4U i_i?Ui |@|
4L?i|@h) @|Lh|it @i _L?i ThiUti*) |t @| |4it Lu hiUi?| |hLM*i Ai ThLM*i4 t
|@|c M) _L?} tLc |i) @i @*tL ThiUT|@|i_ |i i?_ Lu 4@?) @ € i_ i U@?}i h@|i #‚@3
Db
*i@?_hL EbHD @?_ Vi*@tUL EbH. @h}i |@| | @t ThiUti*) @ 4L?i)€?@?Ui_ M@?!
M@*L| |@| U@ti_ |i i?_ Lu |i *i@? |@M*|@ E@?_ |i? € Lu |i *@|i b.ft @?_ i@h*)
bHft 5@Utc ALh?i** @?_ Vi*@tUL EbbS@ U*@4 |@| | @t |i uh@}*|) Lu |i M@?!?}
t)t|i4 |@| Thii?|i_ i U@? @|Lh|it uhL4 h@t?} ?|ihit| h@|it ? bbe |L _iui?_ |i
Ti} W? t@ |i ThLM*i4 hiUht Lhti||c iti?| @?_ +LM? EbbHM h|iG R`i** MiuLhi
|i L?ti| Lu |i Uhttc tiih@* }Lih?4i?|t ihi i?}@}i_ ? @? i |i?ti TL*U) Lu M@*?}
L| €?@?U@* ?t|||L?t 5U @ TL*U) @t M) |ti*u @ tLhUi Lu 4L?i|@h) Uhi@|L? t |
|h?i_ L|c | ii?|@**) ?_Ui_ @ UL?|?Lt tTh@* Lu Uhhi?U) _iThiU@|L?t
AL i @4?i |t ttic @tt4i |@| |i i?|h@* @?! }h@?|t @ Uhi_| *?i |L |i UL44ihU@*
M@?! |L Mi ti_ ? U@ti Lu @? @||@U! Q|@| tc u 4Lhi |@? b _iTLt|Lht @||i4T| |L |_h@
W? tU U@tic |i i?|h@* @?! @}hiit |L *i?_c @| @ 3ihL ?|ihit| h@|ic @t 4@?) TitLt @t
?ii_i_ uLh |i UL44ihU@* M@?! |L tihUi uh|ih |_h@@*t W? i U@?}ic |i i?|h@*
@?! LM|@?t |i4TLh@h) UL?|hL* Lih |i hi4@??} @tti|t Lu |i UL44ihU@* M@?!c ?U*_?}
|i h}| |L *^_@|i |i4 @t ?iUitt@h) |L L?Lh |t i U@?}i h@|i UL44|4i?| Ai *@||ih
@tt4T|L? 4T*it |@| |i i?|h@* @?! t UL44||i_ |L _iui?_?} |i € i_ i U@?}i h@|i
uLh @t *L?} @t | t ui@tM*i
L?t_ih @| 4@) @TTi? ? TihL_  #iTLt|Lht @hhi |L |i UL44ihU@* M@?! ?
h@?_L4 Lh_ih @?_ 4@) |_h@ Ai M@?! tihUit |_h@@*t €ht| M) *^_@|?} Kc
@?_ |i? M) MLhhL?} TitLt uhL4 |i i?|h@* @?! Oi?Ui |i UL44ihU@* M@?! U@??L| }L
M@?!hT| u|ih @** _iTLt|Lht @i t|i_ |i UL44ihU@* M@?!c |i i?|h@* @?! t|@h|t
M)?} TitLt M@U!c €ht| | |i _L**@ht ML}| uhL4 |i UL44ihU@* M@?!c @?_ |i? |
Sf
_L**@ht LM|@?i_ uhL4 |i *^_@|L? Lu |i M@?!<t *L?}|ih4 @tti|t Wu |i i?|h@* @?!
UL4T*i|i*) h?t L| Lu @tti|t *i |ihi @hi _iTLt|Lht @||i4T|?} |L i U@?}i TitLt uLh
_L**@htc | U*Ltit |t ?_Lc @?_ i t@) |@| |ihi t @ M@*@?Ui Lu T@)4i?|t Uhtt
5L4i@| thTht?}*)c |t hi}4i @t itti?|@**) |i t@4i L|UL4it @t @ Uhhi?U)
ML@h_ Aihi t @? L?it| i^*Mh4c |@| hit*|t ? |i tLU@* LT|44 @?_ |i i4ih}i?U)
Uhi_| *?i |h?t L| |L Mi ??iUitt@h) | @*tL |ihi t @ M@*@?Ui Lu T@)4i?|t Uhtt
i^*Mh4 u @?_ L?*) u |i t@4i **^_|) UL?_|L? S L*_t W? @ M@*@?Ui Lu T@)4i?|t
Uhttc @** _iTLt|Lht @||i4T| |L |_h@ TitLt @?_ i U@?}i | uLh _L**@ht @| |i i?|h@*
@?!c @?_ ? U |i i?|h@* @?! *^_@|it @** Lu |t @tti|t @?_ @t |L U*Lti |t ?_L
AL tii |@| |t U@? Mi @? i^*Mh4c tTTLti |@| @** _iTLt|Lht |_h@ TitLt @?_
@||i4T| |L i U@?}i |i4 uLh _L**@ht @| |i i?|h@* @?! AL L?Lh |t i U@?}i h@|i
UL44|4i?|c |i i?|h@* @?! ** @i K _L**@ht LM|@?i_ uhL4 |i UL44ihU@* M@?!( ?
@__|L?c | U@? h@ti o& 4Lhi _L**@ht uhL4 i ihUt?} |t h}| |L *^_@|i |i *L?}|ih4 @tti|
5L |i i?|h@* @?! ** ?L| Mi @M*i |L L?Lh |t UL44|4i?| u i Uii_t |i hit*|?} t4c
K n o&(
M| |t t ThiUti*) |i ?|ih?@|L?@* **^_|) UL?_|L? S
Ai ?||L? t |@|c | € i_ i U@?}i h@|itc |i @M*|) Lu |i i?|h@* @?! |L @U| @t
@ *i?_ih Lu *@t| hitLh| t *4|i_ M) |t L? ?|ih?@|L?@* *^_|) `*i |i i?|h@* @?!
U@? Th?| TitLt uhii*)c | U@??L| Th?| _L**@ht `| € i_ h@|it i@U TitL t @ TL|i?|@* _L**@h
*@M*|)c @?_ @ M@*@?Ui Lu T@)4i?|t LUUht i? _iTLt|Lht hi@*3i |@| |i i?|h@* @?!<t
TL|i?|@* _L**@h *@M*|it i Uii_ |t *^_@|L? @*i
W| t hi4@h!@M*i |@|c ?_ih € i_ i U@?}i h@|itc |i TLttM*|) Lu @ Uhtt _iTi?_t L?*)
S
L? |i ?_ih*)?} ?|ih?@|L?@* **^_|) Lu |i iUL?L4) W| _Lit ?L| _iTi?_ L? i|ih |i
i?|h@* @?! @U|t @t @ *i?_ih Lu *@t| hitLh|c U L?*) _i|ih4?it L |i Uhtt MiUL4it
4@?uit|G @t @ M@?! u@*hi Lh @ Uhhi?U) UL**@Tti
H 6*i M*i i U@?}i h@|it
Wu |i UL4M?@|L? Lu € i_ h@|it @?_ TL|i?|@**) ?t|@M*i h@|it tii4t |L Mi _@?}ihLtc @|
@ML| @ hi}4i ? U |i i?|h@* @?! @U|t @t @ *i?_ih Lu *@t| hitLh| M| @**Lt i U@?}i
h@|it |L Mi i M*iq Ai i@tit| @) |L 4L_i* |t t|@|L? t |L hi|@? |i @tt4T|L?t
Lu |i ThiLt tMtiU|L?c i UiT| |@| |ihi t ?L R*?i @| |i i?|h@* @?! W?t|i@_c
|i i U@?}i h@|i t _i|ih4?i_c @u|ih _iTLt|Lht @i t|i_ |i UL44ihU@* M@?!c M) @?
@U|L? ? U |i i?|h@* @?! Lgiht tL4i @4L?| Lu hitihit @?_ _iTLt|Lht Lgih |ih
L*_?}t Lu TitLt
AL Mi UL?Uhi|ic tTTLti |@| ? TihL_  |i i?|h@* @?! € it |t tTT*) Lu _L**@ht @|
|i @U|L? @| K ' bc |i @4L?| Lu _L**@ht ThiLt*) ML}| uhL4 |i UL44ihU@* M@?!
Ai?c u bo t |i uh@U|L? Lu _iTLt|Lht |_h@?} ? TihL_ c i^@*|) Lu tTT*) @?_
_i4@?_ ? |i @U|L? @4L?|t |L
bo ' .b
ihi . t |i i U@?}i h@|i ETitLt Tih _L**@h W| uL**Lt |@| . ' bo *bG ?@|h@**)c TitLt
*Lti @*i u 4Lhi _iTLt|Lht |_h@ ? TihL_ 
`@| @hi |i L|UL4it Lu |t hi}4iq W| tL*_ Mi ?||i*) LMLt |@| L?it|)
t t|** @? i^*Mh4 W?_ii_c u L?*) ?*U!) @}i?|t |_h@ c . 4t| Mi L?ic @?_ Lh
S2
ThiLt @h}4i?|t 4T*) |@| | t ?__@**) h@|L?@* uLh *U!) _iTLt|Lht ?L| |L |_h@
i@h*) Oi?Uic i M*i h@|it 4@) 4T*i4i?| |i tLU@**) LT|4@* @**LU@|L?
| ?L @ h? U@??L| LUUh AL tii |tc ?L|Ui |@| uLh @ h? |L LUUhc bo 4t| i Uii_
b( i?Ui . 4t| Mi }hi@|ih |@?  ) |_h@?} @?_ @MtUL?_?}c @ *U!) _iTLt|Lh U@?
UL?t4i *. | | U@? Mi tL?eS |@| |i M@?! ** Mi @M*i |L T@) |i ThL4ti_ S
|L i@U Lu |i E bo _iTLt|Lht |@| _L ?L| h? Oi?Ui | U@??L| Mi LT|4@* uLh *U!)
_iTLt|Lht |L T@h|UT@|i ? @ h?
W? tLh|c i M*i h@|it 4T*i4i?| |i tLU@* LT|44 ?^i*) W? |t 4L_i*c _hLTT?}
|i UL44|4i?| |L @ € i_ i U@?}i h@|i @**Lt |i i?|h@* @?! |L ThL_i @ttt|@?Ui |L
|i UL44ihU@* M@?! ? U@ti Lu @ h?c @?_ @| |i t@4i |4i Thii?| |i ?iUi?| *^
_@|L? Lu |i *L?} h? @tti|t Lu |i iUL?L4) Ai *@||ih i?thit |@| _L4it|U _iTLt|t
** *|4@|i*) Mi L?Lhi_c *i |i @UUL4T@?)?} _i@*@|L? T?tit i@h*) |_h@@*t
+@|L?@* _iTLt|Lht ** |i? ?_iht|@?_ |@| | _Lit ?L| T@) |L h?
W? @ t|@|L? Lu TL|i?|@* uLh M@?! h?tc i M*i i U@?}i h@|it @TTi@h |L Mi @ 4iU@?t4
tTihLh |L € i_ h@|it | |ihi @hi @ ?4Mih Lu ^@*€U@|L?t |L |t t|@|i4i?| W| @TT*it
L?*) |L @ hi}4i Lu L@|?}c ?L| |L |i t__i? _iThiU@|L? |@| |)TU@**) @TTi?t i?
|i @|Lh|it |hL ? |i |Li* ?_ i M*i h@|it RLh! L?*) u UL4T*i4i?|i_ M) |i
@TThLTh@|i 4L?i|@h) TL*U)G ? T@h|U*@hc |i i?|h@* @?! 4t| Mi **?} |L @U| @t @
*i?_ih Lu *@t| hitLh|
a grooduv dydlodeoh iurp lwv looltxlg
vhh wklv/ qrwh wkdw lq shulrg 5 wkh edqn zloo kdyh +4 ,Un
u
u
a +4 ,a
a fa, . + ,a
lqyhvwphqwv1 Qrz/ +4 ,Un
f @ +4 ,+Un
f A 3/ zklfk phdqv wkdw wkh
edqn zloo eh deoh wr sd| wkh surplvhg fa wr hdfk ri wkh +4 u , djhqwv wkdw glg qrw zlwkgudz lq shulrg 4=
79 Wr
S
Aiti hit*|t @*tL _iTi?_ UhU@**) L? |i @tt4T|L? |@| _iTLt|t 4t| Mi T@_ ?
TitLt Wu |ihi @hi ?L *LU@* Uhhi?U) U*@4tc 4Li4i?|t ? |i ?L4?@* i U@?}i h@|i U@??L|
@giU| |ih hi@* @*i At t @ hi@tL? |L _tULh@}ic @t 5@Ut Ebb. @t @_LU@|i_c |i
R_L**@h3@|L? Lu _iTLt|t L|Ui |@| i M*i h@|it U@??L| i*T _i@*?} | |i T@?Ut Lu
uLhi}? Uhi_|Lhtc t?Ui ? Th@U|Ui uLhi}? *L@?t @hi _i?L4?@|i_ ? uLhi}? Uhhi?U) Ai
!i) LTih@|L?@* ^it|L? |i? t @| @hi |i ThLTLh|L?t Lu uLhi}? E_L**@h @?_ *LU@* ETitL
U*@4t L? |i *LU@* M@?! Wu |i *@||ih @hi @ tUi?|*) *@h}i t@hic i M*i h@|it U@? Mi
t|@M*3?}
b ?_ |i hit| Lu |i Lh*_q
`i @i |hi_ |L ThL_i @| 6i*_t|i? Ebbb |ih4t 5i*uOi*T B_i uLh ,4ih}?} @h
!i|t `i? @?@*)3?} |i igiU| Lu _gihi?| TL*Uit L? **^_|) @?_ |i TL|i?|@* uLh Uhtitc
i @i @t!i_ ?L| @| |i Lh*_ U@? _L uLh i4ih}?} iUL?L4itc M| @| i@U i4ih}?}
iUL?L4) U@? _L uLh |ti*u
| |t _Lit ?L| 4i@? |@| |i hit| Lu |i Lh*_ t Lg |i LL! `i @i tii? |@|
|i |h@_iLgt u@Ui_ M) UL?|hit @hi ?@||h@U|i @?_ @ TL*U) hi}4ic Liih t|h?}i?|c
t @*4Lt| @*@)t TL|i?|@**) *?ih@M*i |L @ UL**@Tti Lu UL?€_i?Ui M) _L4it|U @?_ uLhi}?
?it|Lht At 4i@?t |@| |ihi t 4U hLL4 uLh @| t ?L@_@)t !?L? @t |i Lh*_
€?@?U@* @hU|iU|hi |L i*T ?@|L?t i*T |i4ti*it
Ai @Mti?Ui Lu @? igiU|i ?|ih?@|L?@* *i?_ih Lu *@t| hitLh| t T@h|U*@h*) tihLt Wu
€?@?U@* Uhtit tU @t |Lti ? ,@t| t@ ihi @| *i@t| T@h|@**) U@ti_ M) ti*u u*€**?} *^_
Se
|) t^ii3it L? M@?!tc @? ?|ih?@|L?@* *i?_ih Lu *@t| hitLh| @t @ TLt|i hL*i ? LihUL4?} @
€?@?U@* t)t|i4<t ?|ih?@|L?@* **^_|) 6?_t uhL4 @MhL@_ |L Thii?| ??iUitt@h) Uhi_|
Uh?Uit @?_ @L_ ULt|*) *^_@|L? Lu ?it|4i?| U@? ?Uhi@ti i*u@hi
Ai t@* E@?_ @*_ LMiU|L? t 4Lh@* @3@h_ | |t ?ii_ ?L| Mi @ h@|L?@*i uLh
TL*U) T@h@*)tt 6hi ?th@?Ui @?_ M@?! _iTLt| }@h@?|iit @*tL ht! ?_U?} 4Lh@* @3@h_c
M| |i ht! U@? Mi 4?43i_ M) ThLTih UL?|h@U| _it}? @?_ @TThLTh@|i 4L?|Lh?} L L?i
@_LU@|it M@???} €hi ?th@?Ui t4T*) MiU@ti | *i@_t tL4i L4iL?iht |L Mi U@hi*itt
| |ih €hiT*@Uit Ai t@4i tL*_ Mi |hi Lu @? ?|ih?@|L?@* *i?_ih Lu *@t| hitLh|
SD
TTi?_
 |@h!)
L?t_ih @ _iTLt|Lh L @||i4T|t |L 4@ 43i *L?} h? UL?t4T|L? @U|?} ? tL*@|L?
5i U@?c ? TihL_ fc MLhhL T |L ih Uhi_| *4| @?_ __i ih |L|@* hitLhUitc @ n sc
Mi|ii? |i *^_ @?_ **^_ @tti|t At ti u@Uit |i UL?t|h@?|  ? |i |i |
`i @tt4i |@| | t LT|4@* uLh ?|@* ?it|4i?| ? *^_ @tti|t |L Mi i?L} |L €?@?Ui
At hi^hit
bE- o d- E bo E
U i @tt4i W? |@| U@ti i @i
K ' E2
t?Ui - :  4T*it |@| |i _iTLt|Lh U@??L| ThL€| uhL4 L*_?} 4Lhi *^_|) |@? t|hU|*)
?iUitt@h) A*_it _i?L|it @|@h!) LT|4@* @*it( ULhhitTL?_?}*)c & ' W? |@| U@tic
|i @}i?|<t UL?t4T|L? ** Mi -& n K s u *U!) @?_ -& s u ?L|c U 4T*it |@|
ih i TiU|i_ UL?t4T|L? ** Mi
S ' bE-& s n E bE-& n K s ' -E n E b s
SS
E
2 5Lh||ih4 #iM|
L?t_ihc €ht|c |i U@ti Lu ht! ?i|h@*|) t @h}i_ ? |i |i |c uLh t4@** R |i ThLM*i4
hi_Uit |L |i _i|ih4?@|L? Lu S7 | |i 4@ 4@?_ ? eD t
E Rd-& E n or _r E n o, Es _r o n R^
' E R-& E RE n or _r Es _r n R^
' E R-& s n R^dE n or _r n o
' E R-& s n REK n o &
ihi |i €ht| i^@*|) uL**Lt uhL4 |i _i€?|L? Lu o, c |i tiUL?_ uhL4 eec @?_ |i |h_
uhL4 |i _i€?|L? Lu ^ W| uL**Lt |@| |i @*i Lu S7 t |i t@4i uLh @** _r ? dfc s oc @t
U*@4i_ ? |i |i |
L?t_ih ?L |i U@ti Lu ht! @ihtL? 6Lh R t4@**c |i M@?!<t ThLM*i4 t |L 4@ 43i
E RES n R^E
tMiU| |L eec ec
& n K @ n _r n _,
_r n _, s
b K
S.
Ee
S n E n or _r n E n o, _, -& n K b
@?_ ?Ui?|i UL?t|h@?|t Ai u?U|L? t @tt4i_ |L Mi t|hU|*) ?Uhi@t?}c t|hU|*) UL?
U@ic UL?|?Lt*) _gihi?|@M*ic @?_ t@|t€it Ef ' fc Ef ' 4
At t @ t|@?_@h_ UL?t|h@?i_ 4@ 43@|L? ThLM*i4 @?_ |i k? AU!ih |iLhi4
@TT*it Ai €ht| Lh_ih UL?_|L?t uLh |t ThLM*i4 U@? Mi h||i? @t
E R ES ' >2
>f w >2 E n or n ^ dRE n E n or Ro fc ' f u _r : f
>f w >2 E n o, fc ' f u _, : f
>f ' ->2
>f n > n >2 n ^ dRE n E n or Ro ' f
E R n R^ ' >2 _r n ^2 dRE n E n or Ro
&nK ' @ns '
S n E n or _r n E n o, _, ' -& n K b
b Kc ' K u > : f
_r n _, ' s
ihi ^ ' ^EKc or c _r t }i? M) e @?_ wc c @?_ |i > r @hi ?L??i}@|i w@}h@?}i 4*|
T*iht AL t4T*u) ?L|@|L?c i @i @tt4i_ |@| o ' f( |t t ?L| itti?|@* @t *L?} @t o t
tUi?|*) t4@**
SH
Ai ?|ihit|i_ hi@_ih U@? ?L ihu) |@| |ihi t @ tL*|L? Lu |iti UL?_|L?t tU |@|
_, ' s @?_ _r ' f Ai !i) T@h| t |L UiU! |i €ht| ?i^@*|) ? |i ThiUi_?} ti|( L?i 4@)
ThLUii_ @t uL**Lt Wu _, ' s : fc >f w ' >2 E n o, *tLc u _r ' fc |i uLh| i^@*|)
@MLi )i*_t ' f Nt?} |iti u@U|tc |i ?i^@*|) ? ^it|L? hi_Uit |L
>2 Eo, or ^E n or RE
f
ED
Uc @u|ih t?} ee @?_ >2 ' E R ES hi_Uit |L ES E* | |t 4t| L*_c
M) |i @tt4T|L?t L? @?_ |i u@U| |@| S 6?@**)c @tt4i @}@? ht! ?i|h@*|) M| tTTLti |@| |ihi @hi 4@?) M@?!t |@| |@!i
or c ?L| eec @t }i? Ai hi@tL??} @| |i Mi}???} Lu |t @TTi?_ 4T*it |@| i@U M@?!
4t| ULLti _r |L 4@ 43i
E RE n or _r Es _r n R
K n o &
n E n or _r
ES
wi| 8 E_r _i?L|i |i @MLi i ThittL?c @t @ u?U|L? Lu _r Lc
8 E_r ' E RE n or n  R^
E n or n E n or _r
E.
W? i^*Mh4c ee 4t| L*_c @?_ ?tih|?} | ? |i @MLi i ThittL? i LM|@?
%
E n or _r
8 E_r ' R^E n or n E n or _r
Sb
&
EH
Ai @MLi i ThittL? t }hi@|ih |@? 3ihL uLh @?) _r : f At 4T*it |@| _r ' s t @?
i^*Mh4c @?_ |@| | t |i L?*) i^*Mh4 | TLt|i _r 6?@**)c _r U@??L| Mi 3ihL
? i^*Mh4 `*i |i €ht| Lh_ih UL?_|L? H i^@*t 3ihL @| _r ' fc 8 : f uLh @** _r c
@t |i hi@_ih U@? ihu) uhL4 . Oi?Ui _r t @ *LU@* 4?44 Lu 8
.f
+iuihi?Uit
do }L?c c @UUi||@ @?_ @?ihiic R@T|@* @h!i|t @?_ |i W?t|@M*|) Lu Ti?
,UL?L4itc `Lh!?} @Tih bbfc 5|_i?3i?|h4 Bih3i?tiic bbb
d2o i*@U^@c c #@t @h?ihLc #c B@hU@c c `ih?iU!c +c *@?ULc 6 @?_ ihL||c c
RAi 5|hU|hi Lu M*U 5iU|Lh #iM| ? h@3* 4@?tUhT|c N+Lc @hU bbH
do @*Lc Bc RV@hi|it Lu @T|@* @h!i| htitc `Lh!?} @Tih Dc i?|ih uLh W?|ih?@
|L?@* ,UL?L4Utc N?iht|) Lu @h)*@?_c bbD
deo @*Lc Bc R@*@?Ui Lu @)4i?|t htit ? ,4ih}?} @h!i|tG w@h}i @T|@* W?Lt
@?_ 5Lihi}? BLih?4i?|tc N?iht|) Lu @h)*@?_c @hU bbH
dDo ‚@h_i?@tc  @?_ 6 @hhih@c R? |i ,giU|i?itt Lu @T|@* L?|hL*tG Ai , Tihi?Ui
Lu L*L4M@ _h?} |i bbftc aLh?@* Lu #ii*LT4i?| ,UL?L4Ut Dec bb.c 2.D.
dSo @?}c + @?_ Vi*@tULc R6?@?U@* 6h@}*|) @?_ |i , U@?}i +@|i +i}4ic ,+
`Lh!?} @Tih L SeSbc @hU bbH@ *tL @@*@M*i @t ++rbHfDc V 5|@hh i?|ih
uLh TT*i_ ,UL?L4Utc vNc 6iMh@h) bbH@
d.o @?}c + @?_ Vi*@tULc R6?@?U@* htit ? ,4ih}?} @h!i|tG @?L?U@* L_i*
,+ `Lh!?} @Tih L SSfSc a?i bbHM
dHo @?}c +c@?_ Vi*@tULc RAi t@? w^_|) httc ,+ `Lh!?} @Tih S.bSc
Li4Mih bbHU
dbo @?}c + @?_ Vi*@tULc R@?!tc #iM| @|h|)c @?_ 6?@?U@* htitc ?TM*ti_
4@?tUhT|c 6i_ih@* +itihi @?! Lu |*@?|@ @?_ vNc bbb
dfo LLTihc + @?_ A +Lttc bbHc @?! +?tG w^_|) Lt|t @?_ W?it|4i?| #t|Lh
|L?tc aLh?@* Lu L?i|@h) ,UL?L4Ut ec TT 2.H
do Lhti||c Bc iti?| @?_ +LM?c R`@| @ti_ |i t@? hhi?U) @?_ 6
?@?U@* htitq @h| WG Ai @UhLiUL?L4U ihi ,+ `Lh!?} @Tih SHc
#iUi4Mih bbH@
d2o Lhti||c Bc iti?| @?_ +LM?c R`@| @ti_ |i t@? hhi?U) @?_ 6
?@?U@* htitq @h| WWG Ai L*U) #iM@|i ,+ `Lh!?} @Tih SHec #iUi4Mih
bbHM
do #@4L?_c # @?_ #)M}c R@?! +?tc #iTLt| W?th@?Uic @?_ w^_|)c aLh?@*
Lu L*|U@* ,UL?L4)c bc bHc efeb
deo #i4h}Uki?|c c @?_ , #i|h@}@Uic R6?@?U@* wMih@*3@|L? @?_ 6?@?U@*
6h@}*|)c Lh!?} T@Tihc W6c bbH
.
dDo #i|h@}@Uic , R+@|L?@* w^_|) htit ? |i 5Lihi}? #iM| @h!i|G W? 5i@hU Lu
@ AiLh)c W6 5|@g @Tiht ec bbSc DeD.f
dSo #‚@3*i@?_hLc 6c RBLL_M)i 6?@?U@* +iThittL?c Oi**L 6?@?U@* h@tc aLh?@*
Lu #ii*LT4i?| ,UL?L4Ut bc bHDc 2e
d.o #Lh?MtUc +c W BL*_u@? @?_ + V@*_‚itc Rhhi?U) htit @?_ L**@Ttitc hLL!?}t
@Tiht L? ,UL?L4U U||) 2c bbDc 2bbD
dHo #Lh?MtUc +c Ru|ih t@G i #hiU|L?t uLh |i W?|ih?@|L?@* 6?@?U@* 5)t|i4c
WAc a*) bbH
dbo 6i*_t|i?c  R 5i*uOi*T B_i uLh ,4ih}?} @h!i|tc 6Lhi}? g@htc @hUTh*
bbbc TT bf
d2fo 6h4@?c a @?_ a 5|}*|3c,UL?L4U htitG ,_i?Ui @?_ W?t}|t uhL4 ,@t| t@c
hLL!?}t @Tiht ? ,UL?L4U U||)c 2GbbHc bbHc e
d2o B@hMihc RAh@?t|L? |L @ 6?U|L?@* 6?@?U@* 5@ui|) i| ? w@|? 4ihU@ @Tih
ThiT@hi_ uLh |i W?|ih4ihU@? #ii*LT4i?| @?! L?uihi?Ui L? R5@ui @?_ 5L?_
6?@?U@* 5)t|i4tG `@| `Lh!t uLh w@|? 4ihU@qc `@t?}|L?c #c 5iT|i4Mih
2.2Hc bbS
d22o BL*_u@?c W @?_ + V@*_‚itc R@T|@* 6*Lt @?_ |i A? htitG Ai +L*i Lu w^_|)c
`Lh!?} @Tih b.H.c W?|ih?@|L?@* L?i|@h) 6?_c a*) bb.
d2o W|Lc A RwittL?t uhL4 |i t@? hhi?U) htitc 4@?tUhT|c O|L|tM@t N?iht|)c
a*) bbH
d2eo k@4?t!)c B @?_ +i?@h|c RAi A? htitG Ai @tit Lu @?!?} @?_ @*@?Ui
Lu @)4i?|t hLM*i4tc W?|ih?@|L?@* 6?@?Ui #tUttL? @Tih L Deec L@h_ Lu
BLih?Lht Lu |i 6i_ih@* +itihi 5)t|i4c @hU bbS
d2Do ki?i?c RL44i?| L? +@_i*i| @?_ 5@Ut ? |i uLh|UL4?} ,+ L?uihi?Ui VL*
4ic M@ti_ L? |i L?uihi?Ui L? hhi?U) htit i*_ ? @4Mh_}ic @ttc 6iMh@h)
S @?_ . bbH
d2So kh}4@?c c R L_i* Lu @*@?Ui Lu @)4i?|t htitc aLh?@* Lu L?i)c hi_| @?_
@?!?}c b.bc 2D
d2.o kh}4@?c RW?|hL_U|L? ? |i uLh|UL4?} ,+ L?uihi?Ui VL*4ic M@ti_ L?
|i L?uihi?Ui L? hhi?U) htit i*_ ? @4Mh_}ic @ttc 6iMh@h) S @?_ . bbH
d2Ho kh}4@?c R@*@?Ui 5ii|tc Ai Ah@?tuih hLM*i4c @?_ 6?@?U@* htitc WAc bbb
d2bo ai@??ic *ihc RAi W?|ih?@|L?@* w^_|) t4@|U @?_ |i i hU|iU|hic
4@?tUhT|c W?|ih?@|L?@* L?i|@h) 6?_c bbH
.2
dfo w@hh@?c 6i*Tic +@* w@M@? @?_ +L4*L 4@UihL R`@| #i|ih4?it @T|@* W?
Ltq ? ,4ThU@* ?@*)tt uLh *ic #ii*LT4i?| #tUttL? @Tih L Dbfc OWW#c
bb.
do L?|i*c i|ihc @?_ @h4i?  +i?@h| R#L @T|@* L?|hL*t W?i?Ui |i VL*
4i @?_ L4TLt|L? Lu @T|@* 6*LtG ,_i?Ui uhL4 |i bbft @Tih ThiT@hi_
uLh NN%`W#,+ ThLiU| L? 5Lh|Aih4 @T|@* Li4i?|t @?_ @*@?Ui Lu @)4i?|t
htit 5tti c @) 2c bb.
d2o Mt|ui*_c c RAi wL}U Lu hhi?U) htitc @iht ,UL?L4^it i| L?‚i|@hit ec
bbec Hb2
do Mt|ui*_c  @?_ k +L}Lgc RAi h@}i Lu 6 i_ , U@?}i +@|itc ,+ `Lh!?}
@Tih Dbc a*) bbD
deo +@_i*i|c 5c @?_ a 5@Utc RAi ?ti| Lu |i t@? 6?@?U@* httc O@h@h_ W?t|||i
uLh W?|ih?@|L?@* #ii*LT4i?|c @hU bbH
dDo +L_h!c # @?_ Vi*@tULc R5Lh|Aih4 @T|@* 6*Ltc ??@* @?! L?uihi?Ui L?
#ii*LT4i?| ,UL?L4Utc `Lh*_ @?!c uLh|UL4?} bbb
dSo 5@Utc acR*|ih?@|i TThL@Uit |L 6?@?U@* htit ? ,4ih}?} @h!i|tc #ii*
LT4i?| #tUttL? @Tih L DSHc O@h@h_ W?t|||i uLh W?|ih?@|L?@* #ii*LT4i?|c
a@?@h) bb.
d.o 5@Utc ac ALh?i** @?_ Vi*@tULc RAi L**@Tti Lu |i i U@? itLG `@| O@i
`i wi@h?i_q ,UL?L4U L*U) 22c bbS@c DS
dHo 5@Utc ac ALh?i** @?_ Vi*@tULc R6?@?U@* htit ? ,4ih}?} @h!i|tG Ai
wittL?t uhL4 bbDc hLL!?}t @Tiht L? ,UL?L4U U||)c GbbSc bbSMc e.bH
dbo 5L|Lc c @?_ 5 V@*_‚ithi|Lc RAi ,giU|i?itt Lu @T|@* L?|hL*t ? *ic 44iLc
@|L*U N?iht|) Lu *ic bbS
defo Vi*@tULc c R6?@?U@* @?_ @*@?Ui Lu @)4i?|t htitc aLh?@* Lu #ii*LT4i?| ,UL
?L4Ut 2.c bH.c 2S2H
deo Vi*@tULc c RwMih@*3@|L?c httc W?|ihi?|L?G Ai *i@? 6?@?U@* 5)t|i4 b.D
bHDc ? A @*
?L @?_ V 5?_@h@@? Ei_t @?!?} htit W?|ih?@|L?@* L?i|@h)
6?_c bb2
de2o `@**@Uic c R@hhL @?!?} ii|t |i #@4L?_#)M} L_i*c 6i_ih@* +itihi
@?! Lu ??i@TL*t "@h|ih*) +iic `?|ih bbSc 
deo `Lh*_ @?!c B*LM@* ,UL?L4U hLtTiU|t @?_ |i #ii*LT?} L?|hit bbH%bbG i)L?_
6?@?U@* httc Ai `Lh*_ @?!c bbH
.
Table 1
Short Term Foreign Debt/International Reserves
Jun-90
Jun-94
Jun-97
Indonesia
2.21
1.73
1.70
Korea
1.06
1.61
2.06
Malaysia
0.22
0.25
0.61
Philippines
3.18
0.41
0.85
Thailand
0.59
0.99
1.45
Jun-90
Jun-94
Jun-97
Argentina
2.09
1.33
1.21
Brazil
2.63
0.70
0.79
Chile
0.89
0.51
0.45
Mexico
2.24
1.72
1.19
Peru
3.87
0.38
0.50
Philippines
4.90
4.86
5.86
4.50
Thailand
4.05
3.84
3.69
3.90
Mexico
4.44
12.63
4.37
4.65
Peru
1.91
1.27
1.31
1.24
Source: BIS, IMF
Table 2
M2 as a Multiple of International Reserves
1993
1994
1995
1996
Indonesia
6.09
6.55
7.09
6.50
Korea
6.91
6.45
6.11
6.51
1993
1994
1995
1996
Argentina
3.30
3.73
3.64
3.41
Brazil
1.85
2.30
2.22
2.75
Source: IMF
Malaysia
2.09
2.47
3.33
3.34
Chile
1.73
1.52
1.75
1.91