31*~1,{2
;=-6474,<=:0 47<0:60/4,<0 98?0: :05,A
1EBOPMEN
Y 76C mqcn]bcha ][j[\cfcns
Hcf_ Oi4@G79:;7=
Y El__j[a_5]f_[l[h]_ ^cmn[h]_B>gg
Y ;eW ^c_f_]nlc] mnl_hanb /\_nq__h ]icf [h^ ]ihn[]nm0
Y VM chmof[ncih msmn_g@ Ef[mm H
>
/ 0
Hcf_ Oi4@:666<7>8
Y N__nm WFG 6=662 6<97 l_ch`il]_ chmof[ncih
Y Qli^o]n ch []]il^[h]_ ni KGE <699;37 [p[cf[\f_
Y Ghpclihg_hn[f `lc_h^fs jli^o]n /SiJT ]igjfc[hn0
Y Ponfch_ Fcg_hmcihm@ /7=4< r 7647 r 78490 gg
Hcf_ Oi4@ERE6?66868><>?
.845 /,<,
.87<,.< /,<,
Eihn[]n [ll[ha_g_hn
7C
Eihn[]n l_mcmn[h]_
=6g g[r4/[n 7C <WFE0
Eihn[]n g[n_lc[f
CaThP8
[n 89
;OBJDBMD OSLE
Oigch[f Qc]e3oj Flij3ion
Wifn[a_ Wifn[a_ Wifn[a_
WFE
WFE
WFE
g[r4
gch4
N[r4
Wifn[a_
WFE 70
Eicf
S_mcmn[h]_
76C 8;6WCE
9
848;
647;
94?
86 r /7 76-0
N[r4 mqcn]bcha pifn[a_
8;6WCE
;
94=;
648;
<4;
;; r /7 76-0
N[r4 mqcn]bcha ]oll_hn
76C
<
:4;6
6496
=4>
>6 r /7 76-0
8;66WC
?
<4=;
64:;
774=
7>6 r /7 76-0
7 r 76< PQT
78
?466
64<6
7;4<
986 r /7 76-0
8;6WCE2
7>
794;
64?6
894:
=86 r /7 76-0
S_mcmncp_ fi[^2 [n >;X2 7m ih ?m i``0
8:
7>46
7486
9748
78>6 r /7 76-0
84:6
<84:
;786 r /7 76-0
Eihn[]n l[ncha /S_m4 Mi[^0
N[r4 mqcn]bcha jiq_l
N_]b[hc][f _h^ol[h]_
:
Gf_]nlc][f _h^ol[h]_
7 r 76
PQT /76C
80
.3,:,.<0:4;<4.;
Khmof[ncih l_mcmn[h]_
7666N /[n ;66WFE0
Fc_f_]nlc] D_nq__h ]icf . ]ihn[]nm
;666WCE 7gch
D_nq__h ij_h ]ihn[]nm
7666WCE 7gch
mnl_hanb
Pj_l[n_ ncg_ /[n higc4 pifn40
>gm g[r4
S_f_[m_ ncg_ /[n higc4 pifn40
:gm g[r4
Jogc^cns
;- ni >;- SJ
848;
647;
;47
9> r /7 76-0
;
94=;
648;
>4;
76> r /7 76-0
<
:4;6
6496
7648
7;; r /7 76-0
64:;
7;49
9;6 r /7 76-0
Hoh]ncih[f
?>g5m
?466
64<6
864:
<86 r /7 76-0
F_mnlo]ncp_
?>6g5m8
7>
794;
64?6
964<
79?6 r /7 76-0
76Jt ni ;; Jt 74<;gg FC
8:
7>46
7486
:64>
8:>6 r /7 76-0
:> 80
9<46
84:6
>74<
??86 r /7 76-0
Qf[mnc] m_[f_^2 Hfor jlii`_^
7KOEN+ 70 1Kh^_r cm hin ch l_f[s f_hanb ^cl_]ncih4
80 Ub_ ^[n[ mbiqh [\ip_ [l_ chcnc[f p[fo_m4
90 Qf_[m_ `ch^ ]icf n_gj_l[nol_ ]olp_ ch nb_ ]b[l[]n_lcmnc] ]olp_m \_fiq4
.845
Eicf jiq_l
9
<4=;
ni >;
Cjjlir4:4<a
Eihmnlo]ncih
Tn[h^[l^@ Cjjlir4 :;6gXA
T_hmcncp_@ Cjjlir4 896gX
7KOEN+ 70 N[rcgog pifn[a_ l_`_lm ni nb_ g[rcgog pifn[a_ qbc]b l_f[s
]icf ]iof^ _h^ol_ ch [ mbiln j_lci^ i` ncg_4
80 Hil jli^o]nm qcnb l[n_^ pifn[a_ W :>W2 g_[mol_m mbiof^ \_
n[e_h ni jl_p_hn ]icf ip_lpifn[a_ ch il^_l ni jlin_]n ]icf ch n_mn
[h^ [jjfc][ncih /_a4 Eihh_]n ^ci^_m ch j[l[ff_f04
;,10<A ,99:8>,5 :,<472;
=5|.=5
76C 8;6WCE [n >;
D966
>/0
76C 8;6WCE [n >;
7KOEN+ 70 Cff p[fo_m ohmj_]c`c_^ [l_ [n liig n_gj_l[nol_4
80 Phfs nsjc][f fi[^m [l_ fcmn_^ [\ip_4 Pnb_l fi[^ mj_]c`c][ncihm
][h \_ [p[cf[\f_ ojih l_ko_mn4
JPOIHC SGMCZ
KTP?6672 KTP5UT7<?:? 2 KTP7:6672 PJTCT7>6672 KGER RE 6>6666 EGSUKHKGF
>>
Eicf
S_mcmn[h]_
?
3:6
QED
Vhcn q_cabn
N[r4
Wifn[a_
WFE70
78
Wc\l[ncih l_mcmn[h]_1
U_lgch[ncih
Flij3ion
Wifn[a_
WFE
gch4
8
Cg\c_hn n_gj_l[nol_
Tbi]e
l_mcmn[h]_1
:>
9<46
;EJNGOGQE OSLE
Oigch[f Qc]e3oj
Wifn[a_
Wifn[a_
WFE
WFE
g[r4
867; S_p4 7468
8:/0:472 4718:6,<487
JH98HC3I 5 678 3J
T
M
7
I
/YYY0
<SLE
.KGH QKHOBFE
92 ;2 <2 ?2 782 7>2 8:2 :>WFE
.KJOBCO BMMBJFEIEJO 3+ 7 Hilg C
.KJNOMPCOGKJ7080
;+ Qf[mnc] m_[f_^
.KGH LKREM
5+ T_hmcncp_
<EMIGJBOGKJ
}+ Usj_ 7
.KJOBCO LHBOGJF
90
7GH+ Tn[h^[l^
~+ Usj_ 8
2+ Iif^ jf[n_^
;LECGBH CKDE:0
7GH+ Hfor jlii`_^
7GH+ Oi aif^ jf[n_^
@@@+ Eomnig_l mj_]c[f l_kocl_g_hn
7GH+ Tn[h^[l^
7KOEN+ 70 X_ l_]igg_h^ `for jlii`_^ nsj_m `il [ ]f_[h _hpclihg_hn /`l__ `lig ]ihn[gch[ncihm fce_ J8T2 TP82 OP82 ^omn2 _n]404
X_ moaa_mn ni ]biim_ jf[mnc] m_[f_^ nsj_m [h^ p[fc^[n_ cn ch l_[f [jjfc][ncih `il [h oh]f_[h _hpclihg_hn /qcnb ]ihn[gch[ncihm
fce_ J8T2 TP82 OP82 ^omn2 _n]04
80 Eihn[]n cm l_]igg_h^_^ `il mocn[\f_ ]ih^cncih [h^ mj_]c`c][ncihm c` q[n_l ]f_[hcha il mol`[]_ jli]_mm cm chpifp_^ ch [mm_g\fcha l_f[sm
ih QED4
90 Hil aif^ jf[n_^ nsj_2 nb_ gch4 mqcn]bcha ]oll_hn [h^ gch4 mqcn]bcha pifn[a_ cm 76gC ;WFE4
:0 Ub_ ]omnig_l mj_]c[f l_kocl_g_hn _rjl_mm [m mj_]c[f ]i^_ [`n_l _p[fo[ncha \s Jiha`[4 _4a4/99;0 mn[h^m `il jli^o]n ch []]il^[h]_ ni
KGE <699;37 /IXU0U
8=<5470 /4607;487;z ?4:472 /4,2:,6 ,7/ 9. -8,:/ 5,A8=<
7=4<
:
. Usj_ 7
649
QED M[sion
/Dinnig pc_q0
/Dinnig pc_q0
7;48:
83 7
=4<
7849
7 Hilg C
7647
Xclcha Fc[al[g
83 749
<49;
Ponfch_ Fcg_hmcihm
Vhcn@ gg
64:
64>
64;
83
7647
7=4<
83 7
:
. Usj_ 8
749
84;:
=4<
7849
7 Hilg C
784=
83649
64:
64>
64;
S_g[le@ 70 Kh ][m_ i` hi nif_l[h]_ mbiqh ch ionfch_ ^cg_hmcih@ ionfch_ ^cg_hmcih V7gg2 nif_l[h]_ mbiof^ \_ v648ggA ionfch_ ^cg_hmcih Z7gg
[h^ V;gg2 nif_l[h]_ mbiof^ \_ v649ggA ionfch_ ^cg_hmcih Z;gg2 nif_l[h]_ mbiof^ \_ v64:gg4
80 Ub_ nif_l[h]_ qcnbion ch^c][ncha `il QED f[sion cm [fq[sm v647gg4
90 Ub_ qc^nb i` nb_ alc^^cha cm 84;:gg4
>?
.3,:,.<0:4;<4. .=:>0;
;
7
64;
CE S_mcmncp_ Mi[^
648
647
U_gj_l[nol_ lcm_ /L0
76
UGNQGSCUVSG SKTG
GOFVSCOEG EVSWG
Pj_l[ncihm /Y76666 PQT0
Eihn[]n Eoll_hn/C0
NCYKNVN TXKUEJKOI QPXGS
;6
76
7
=6
<6
;6
:6
96
8;6WCE S_mcmncp_
86
64;
76
76
86
96
766
866 966
:66
Eihn[]n Wifn[a_ /W0
6
8
:
<
>
76
78
7:
Eihn[]n Eoll_hn /C0
6
>6
?6
766
776
786
796
Q_l]_hn[a_ P` Oigch[f Eicf Wifn[a_
<ENO CKJDGOGKJN+ Hfor jlii`_^2 [n >;X
;m ih ;m i``
Fcm]f[cg_l
Ub_ mj_]c`c][ncih cm `il l_`_l_h]_ ihfs4 T__ ni ,U_lgchifias [h^ Ioc^_fch_m, `il gil_ ch`ilg[ncih4 Tj_]c`c][ncihm mo\d_]n ni ]b[ha_ qcnbion hinc]_4
X_ ]iof^ hin _p[fo[n_ [ff nb_ j_l`ilg[h]_ [h^ [ff nb_ j[l[g_n_lm `il _p_ls jimmc\f_ [jjfc][ncih4 Ubom nb_ om_l mbiof^ \_ ch [ lcabn jimcncih ni
]biim_ nb_ mocn[\f_ jli^o]n `il nb_cl iqh [jjfc][ncih4 K` nb_l_ cm [hs ko_ls2 jf_[m_ ]ihn[]n Jiha`[ `il nb_ n_]bhc][f m_lpc]_4 Jiq_p_l2 cn cm nb_ om_lwm
l_mjihmc\cfcns ni ^_n_lgch_ qbc]b jli^o]n mbiof^ \_ om_^ ihfs4
u Yc[g_h Jiha`[ Gf_]nli[]iomnc] Ei42 Mn^4 Cff lcabnm i` Jiha`[ [l_ l_m_lp_^4
?6