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piq WG2flLC o cbitj UJL1(Ct L2tL1cti0U2 U jTUCJ r 2 9 2GL!2 0 COflUtI4C2 tS1 LG
ETnL 2p0h2 fpJt tJJG bLoboLtrou 0 LG2LTCq C0nIJtLT2 pA t2 bLoxA JJ2 CLG2G OACL UJG•
iuq bcLpb2 UJOLG 2CACLG LC2t4COU2 JTU qoc 0tCL CbItJ UJ1LJ(C1 LC2ILJCtTOU2 UJG2rILC
O1 LG2bCtiAGJX 0 43 JOL V2P CJLJ? flJI2 WG12flL CBtnLG2 2IJJ1JJGL 2fl2Gt O GOnUtLT2
JT2 bLoboLqou L9IJC2 LOW o uq o to occzJ1 (Mc/i cjiuq nq vn2tLsflr) ruq tpc QLorIb
jC ccouq copiu.Ju o uj y LcboLt2 tC bLoboLtjou 0 fJJG2G COJ1IULTG2 CLO22 tJJG M01Jq
C(TLLCIJCA bAiucut2 urA JpCG P!PCL C02t2 PJ tLU2SCtIIJ 111 iioqq C1bJtSJ UUJLJGt2 12 MCJf
COI1UtLTG2 MJJO Tuq t uccC22LA 0 CUtGL I1Jf 0 tJJT2 o LLIJGWGUf LtJJCL fpu f121U 1J1GLUTtT0U1I
brAwcut2 0L oOq2 CfU JDC UJqG MIIJJ OtIJCL ooq2 111 JTfl O CITLLGIJCA bAuJcuf2 ffC2iqGUt2 tu
crq B!TiGLI bAUJUt2 LUCUJCUt2 /IJJJJ CJ49W COfIUtLpi2 flUGL tJC2G LLUWC1Jt2
1LC uo pcqA ttsqcpjc iu mt€LuTousJ UJLGt2 uq WGLGJ0LG nJq it to qctjob 20-
niicuqcq to cbtnLc q1jcnjtrC2 Mrtp bAwcut2 Luwut2 2OWG conutuc 91 craLucTG2 pf
JG22 UGLJ JCLGOLG tG couq W2flL 0 LC2ILTqJO1J2 J COU2TqGL 12 JC22 qrct W2flLC
CG 20 WImp 0 oLjq ICC2 LC2tLTCtIOU2 0j 1JJ12 2OLt i 12 fl2GtfIJ to CXW1UG LC2tLTCtTOU2
2OWG cxuibJc2 0 C011UtL12 CSt0L1Sq 2 LC2tLICtCq pA t1112 WG2rTLG 1LC br.oArq€q iu tpc bbuqpc
OU bLopj;w M!tJJ tp2 WC32flLC 12 tJJt it tLt2 LC2tLICtTOU2 0 qCLUt qctc2 GdrnlffX
bLoboLtJou 0j LG2t4Ct COflUtLjC2 iLJCq OAL 111JC
cb!t2J LG2ILTCt!0U2 0 2OUJQ oLw pc pccu bLA9Jcut OACL buoq E!r1LC 2OM2 JJOM tUG
L1UG2 tLOW 0U tuG JOM 2IqG 0L JJG (3LOJIb O 2GAGU tO OU pG jJ 2qc 0L LTCT
WCWGL2 0 TJGLGUt COflUILA onb2 pq LC2tLTCtTOU ou cb!t tUIU2JCt!OU2 jp bLoboLtiou
Gdp1G2 qcbcuqp nbou pc Gp72CTA o 2np2lJnrou pMccu urqcrpj uq ju
UJJL1(G flJ ILqG1pjC2 2UJflL O pc 2T1J€ ooq pOAG JJJGA g120 pojq qOwc2C UOU-LqCpJG2
L&CJJC2 IJqn2lLc2 jpA OM AOL2 pojq wc bLoboL!ou oj pc MOLJ cdnnA
cowbjc UJSLJCG2 JOL JA2OL2 MJJO cu pojq qouJTc uq oLcu cdnqc2 p1 U1GJJG2 uq UOU-
€drnou (T Bx1 iiwuu uq jw (j) XUJUJC pr boLoJro JJOCfTOU qccTTou 1TUGL
boLoJ1o qcc2iou2 pCcow WOLG coubpcq pu OL pc 2p1Jc ooq LT2IC-2JJTL11J cxwbjc p1
pu flow4u JOL uou-buprpi CMCGU Lqpj uq uou-LrqGpJc2 pc p1qIqflJ
cxbjrn bcijcou2JqcL MGfGL pc jjocrou o fL1JG2 cou2rnJJbiou jJO1AJ OL uou-2bLpqurc2 crn
T10M JJGW O L2JC-2JJ&LG JJU flJC j2 TpoA IJJffA couorniq pOJJ T22flG EOL JJJ2 L2OU I MTJJ UOM
cbLpquTca nubotu uq q 2OW COIIIJIUG2 jruq ii co2fA io poq tOLCTIJ 2G2 JJJ MOflJq
2Juqicru bLoboLfiou o pc cLo-conuiA COAJLIjIOU p1 cou2nwbJou LO/14 LG jipc uou-
UI nipA PGtMGGIJ uou-qnupIG LfGSjC2 flJq OqJGL cowbouGuj2 o counwbirou cxbjrncq
cou2nwblTou nJcJnqc2 uou- qccpj p ccou j) j onuq uou-2cbruJprjwc2
ou bopj XbjIUflTOIJ OL 1}JQ LC1CCITOU O LJ( 2JJLp1 SWOU nULG21LC1Gq conuLc
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ruqCbCIJqCufj? cxbji qJc JCJC O 42Jc-2p1ILrn
C00U1L1C2 MTqJ LC!AGI?t nULG4LTCGq COIIUIITG2 T &J20 L1CCCq JGLCOLG 1JJGG LC2LTCIOU2 qo uo
IJJLJCG1 LG2LJCl!OU2 OU OLIJ cdnA poJqp12 tionjq jwbjA HOMCAL 142 (-2pqu 22 IJJOU
MOLJ IJJU qo flULC2ILTCICq COflUjUC2 JJJ12 LJTOu2pTb bcrj? IAJJJ1 2ruJbJc uoqcj o cb1irj
cbrsj UUfLJC LC2LTCTO1J2 COAJLA WOLG 2LOUJA MIJJ qowQc ornbrr AL!ou2 LJTA o rp
p 2rrwurnr.) JJG bLoAJq €iqcucc C0u2nwb140u LOM1JJ LC2 pi COITIUL!C2 CpJtOL COflIflUC2 !AT LCJSIACJA JOM LG2UCTOU2
COflULTC2 LQ 2UTTCUiJX q1IJCLU 1JJU LO jpcLcOW LC2LTC1TOU2 accw o p piJboLinU ciu
UJSLThJJ 2U!TJC11JCG JAJ2 jG22 jrnu u pc OflJCL puq CO CJGIU ou pc flULG2LjC
o LG2L!C14OU2 IJJ G2 UJC2 2f jP uq ipc cou2up1 = 2 21LouJX L1j ccq
Jf1JGj B LCbOLI2 LC2flJ2 o boacq poc J1JGLc2q1JA f!2p1 ffjJ JJLG WG2flLG2
jjic pThopc p1n LG2ILTCICq COrnJILTG2 uq nuLG21LTcGq COflIJII4G2 2}JSLG 1G 2WG COG JCGIJ12 12
2GbLpTpuc2 tIp LG2bGcl 10 UOU-1UfqGpJG2 2 111 IJJG ccouq LOM 2T1J1UCU1JX JGL2 IJJC LG211J12
UO1 qcbcuq ribou MpcqfcL IJJG C0flU1t) }J2 !J 01. OJ LG2ILICIIOU2 HOMGAGL oiTu OL uou-
w 1LGPJG2 cou2nwblTolJ 21 lTjcluqX LGJ1G o 1LPJG2 onlbnl uq 1p12 LG2flJI qoG2
WGT2flLG JJJG UL21 1.0th 2M2 IjJG nuiru brurpfflA C0UtU1 MTp 1G cATqcucc
jucj y o JpJG 4 pscq nbou jpc 1jçG2LTC1TOU2 ou Cb!1J JjiIIJ2C1OU214
2GL!G2 PGJ2 1GL 1p 2G4G2 P!2 WG2LG O LG2ILICITOU2 cOrTJq uo G 2lnqTGq
suq fG UJ4CG1 LG2ILJCIIOU2 2GLTG2 qG2CLIpGq iii JU9 y JCG pG !1JIGLG2I LLGTL2
JPI 4 LCbo142 JJG LG2flJ2 0 IJJG LGLG2210U 1G212 w (ST) fl211J IJJG 2LG1Gq qff L0W
xr n.tccW1GLbLG1f10U2 UT IGUIJ2 0 LG2UC 0U2 2 iii 111€ LGf IC COU2flUJbIIOLJ C2G
2HJCG 12 IJJfljlTbjG LCLG22T0U cOCJpC!Gu1 w (siY !1 21U suq wurnqc qo 1101 JJAG IJTIrTLJ
tAG 2JJ00J puq 1IJ1 k O MJJIjG JI. 1.c2ILTCIGq COIIUILTG2 LG U0f JAG 1JJA ruq 1PJI P c 0 J401C 1JJf1
JAG ponjq pnq \ \ iuq c p fTULG2IUCIG COflIJjLIG2 SLC Lr2Jc-2pLrn UT jqpjc GU
onb2 20 ipI L = Uq = 011 IJJG 0JGL puq r UJLJ(G1 LG21L1C1101J2 1LG 1UJb0Lu1 1}JGU
= JUL]CGI LG2ILTCIIOIJ2 LG fW1UJb0LpJIJ1 IJJGU MG 2JJ0flf ruq 110 GLGUCG GIMCGIJ IJJG IMO
JAJJGLG (Y s) (w? D) uq oi 2GbLpJc flLjG2 jc = J JAJJJG 0L 1J0IJ-2GbrL1pJG flLjG2 j+ + (J-D))x + r (J)
= %L0(1) DO.1) + 0(1) (j - + DO:I) Z!_l Lvu() + (j - DQf)) ''V 1C21 O 1}J2 LGJ1101J2p1b LGJr1rAG IO IJJG q21(-2Jrnuu LGLG2210U2 P (Jo) 12 bLo/qqcq pA:
1LCPJG2 COIJ2IIUJbI1OU 2pOnjq pc (T1JC0LLCJIG /141P ILGPJC2 OflIbfTI t0 IJJG2G COI1UIL!G2
Lc21iC1Gq COflUIL1G2 LflL1PGLW0LC TCOflUI1TG2 JAIIJJ jOM LG2IL!C110U2 LG 2fTUJC!CIJIJA qAGL2qTcq) IJJCU
COGmCTGUI2 U IJJG LGLG221OU2 0 IIUL;2ILICICq C01IIJIL!C2 aponjq qqc 2!U!CTU1JA L0W IJJO2G O
COLL11T1G !141}J UGJJJG2 0fl1bfl1 2 jpnuq 111 JTJJjG 5 II LG2ILICIIOU2 LG !UJbOLIU1 IPGU fiG
1LSGPJG2 L12JC UJA 1101 JJG qTAGL2TIJCq MX !U1GLU110UJJA 20 1PI 1LSGPjG2 COIJ2OIJJbITOU wA pc
U q0WG2iC LG2qC1JI2 LG LG2ILCI;q LOW pojqni j0LGU 1UTGPJC2 Gdfl111G2 JJOJAGAGI! JGU
onuq !IJ fIG 20CJ bjuuGL2 bLopJGur
IJJ!2 1I1X fIG 1JJ11LUJJ filifilA 0 1LGjG2 Wfl21 JJG rnqGbGuqG1u oj qOwG2IrC Ofllbfll ALJS1101J 2
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rnq 0JGL cowboucu2 LG u.iboLu 111 cxbjuni ICLGUCC2 CLO22 LG2LTCrGq uq nUL2fL1CCq
JJJ2 LG2I1J 2flG22 1JJ 1L21 U0U-2GbLSp1jUTG2 p1 I1!WA GMGC1J uou-qnLpfG LqGpC2
LG2UCC COflU14C2 pf 2 UO LG1GCGq 0L flJG flULG2L1CGq COn1UL2
cowbouGu2 0 COU2flUJbqOLJ LG 2IIJJIJCU1JA qTUGLG1J JUGLG21TUIA L12(-2p1fLpJ 12 LG1GCIGq j0L 1G
pA 0IiJ1pJ flLJJC2 LOlA o buGJ B rncTnq pT2 ALpJG Vnf JG LGJTou2p1b wou pc
2PJCG JJC LGJ0U2}Jb G1MGGU UOU-qnLpjG uq uou-Lqcipj unrA pc GCGq
GC0JGL SJqJOnJJ UJA 2O LG2flj LOW jO/A boML qri 0 JG 2IiJff Uf1W€L 0 1J1€2C COnIJILIC2
JJJ12 LG2flJ 2flG22 flJ COfIUILIC2 MlflJ bJAwGu2 LLSUGUJGIU2 uniX bLoAqc Lr2J(-2p1ruu iwou
2cbL9-pffljc2 p1 U0ULSGJG2 IIL€ jjO/ACC4 JJC CjGC12 LG 2LJC!U --- L!21C-2}J1fLU 12 UO LC1GCGq
COGj1CTG1U2 ou orrbri LC pJ21U1pCUfJA qTIJGLCIJ4 LOW G1rnp0pGL H0MCAGL 011CC 11011-
W 1'UGI v '!W !2 22flWG O pG 2GbiLpJG L12j(-2jJ1LflJ 12 LGICC1Gq lfUq jJG
pu 0 JC C0J1UL1G2 p1 JJG /Aoqq suq JJ2 bcLccuG JJ2 TflGU OAGL fpJJG
C0flUL1G2 pq U UGCG22LA 0 UJJ11J91TJ jJG2G AbG2 0 LL1JGWG1J12 cowbLT2c 211J1JC1JIUJA JG22
cbij 1JJJLJ(CI LC2LC1J0U2 IJJG BflCLI bAWGu2 LL11UGUJGIJ24 WGIi2OLG 2 EJu1LG 2JJ0/A2
EOL fjJT2 LG20U bUGJ B 2JJ0M2 IJJG LG2fl12 O IJJG2C 21IJJG IG2f2 011 11 WOLG 2bGCIpC bLoxA o
LG1GCGq 2pJJbJA GC1Hi2G COfIIU4G2 /AIflJ UJTJq LG2LTCT0U2 /AGLG U0 nlclnqGq p1 onbm JUGj v BA 2GWG1UTU f€ tio onb2 LT21c-apLui wou qJC flULG2ILICIGq C0flULJC2 wiA pG
COfIIU4G2 uq C0(TIUL!C2 uiq LC214C1101J2 S2 WG2flLG pA JJG crbj W&LJCC LG2L!CI10U IJJGI2flLG
COUJb42G 2UJIIII bL 0 fJJG MOLjq CLGG Oj LT2J-2pLnJ UJA wj bjgcG UJOIJ 1T1JLG2L1C1Gq
JGAGJ2 O L2LCJ0U2 IU0 OIJG WG2flLG 2 Tfffl2L1i1Cq pA E!nLG 5 1J1G flULG2LTCfCq C0I1UL1G2
vu rwboru bLopjCui MUJJ J12 WC2I1LG Oj LC2L1C10U2 !2 COWp1G2 UJ1UX q1JCLG1U
2!1IJCUJA ribou L-qGpJc2 onbnj
ou pG OCL puq L2JC-2jJLpJ LGCCGq pi 9JJ C2C2 2p1C LLCSjG2 C0U2flWb10U qcbcuq2
qqGLcu CLO22 qi€ iwo onb2 o COffUL1c2 S2 onjq 2flG2G jJC LC24COU2 /AGLG pUqpi•
GLW2 o q2Jc-2jrnLp1 JJIG LGjrou2pib p.McGu iLGjG2 uq u0u-L1iqGpJG2 T2 2!ufflcufIA
JpG GACUCG nbou c9bi-J jLU2C1OU2 JçC2LTCJOU2U bLoAqC2 uJpGq GATqGUCG p1
C0CtUC!CU2 OU JJC uou-Lqc1pjc2 11L(1WGU12 p1 flUJUA LG 2WC 12 Lc)GCCq
2L0UjA LGGcGq JJJC p1j CIULA 9]T°M2 tOL UOU-2GbLpIJ11G2 111 qnLpjG2 JJJG JJABOIJJG2!2 IjJ JJG
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!U tU1GIPJG2 12 hOt LGGCtGq tOL fluLG2tLJctcq COrnJ1L12 WS2flLG pA IJJG JG22 GUCLJ O tMO WLJCCt
bbGiL2 to G 2!hJTJcJ1JtJA GLGUt OL Lc2fLIctcq uq flIJLG2tLTCtCq COflULTG2 tL(TIJA L!2J(-2JL1U
to GXbJSW LJ2-2}JJLtIJ JjJC LGpTtTOU2JJTb PCtMCGU tLCPJC2 uq OtJJGL cowboucut2 o ntjtA
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