scieee AI-readable full text Open interactive document viewer

Sistema de caracterización experimental de un radar CW-FM en banda X

García Castellano, Abel

Abstract

Grado en Ingeniería en Tecnologías de la Telecomunicación

Full text

ESCUELA DE INGENIERÍA DE TELECOMUNICACIÓN Y ELECTRÓNICA TRABAJO FIN DE GRADO SISTEMA DE CARACTERIZACIÓN EXPERIMENTAL DE UN RADAR CW-FM EN BANDA X Titulación: Grado en Ingeniería en Tecnologías de la Telecomunicación Autor: Abel García Castellano Tutor: B. Pablo Dorta Naranjo Fecha: Junio 2014  ESCUELA DE INGENIERÍA DE TELECOMUNICACIÓN Y ELECTRÓNICA TRABAJO FIN DE GRADO SISTEMA DE CARACTERIZACIÓN EXPERIMENTAL DE UN RADAR CW-FM EN BANDA X HOJA DE FIRMAS Alumno Tutor Fdo.: Abel García Castellano Fdo.: B. Pablo Dorta Naranjo Fecha: Junio 2014  ESCUELA DE INGENIERÍA DE TELECOMUNICACIÓN Y ELECTRÓNICA TRABAJO FIN DE GRADO SISTEMA DE CARACTERIZACIÓN EXPERIMENTAL DE UN RADAR CW-FM EN BANDA X HOJA DE EVALUACIÓN Calificación: ___________________________ Presidente Fdo.: Vocal Secretario/a Fdo.: Fdo.: Fecha: Junio 2014  ( '!)'/'!) <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<G G<'/-)0!*'<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<I H<!&0%!*'%+-).)/!*'%.'.)-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<K H<G!&0%!*'.(%)'&)0%)-.')!%5/-!'0%-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<K H<H!&0%!*'%//)-%--<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<N I<!.()%.!./&-/-!6!*'%.'.)-<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<GI I<G!.()5&)'/$%.!./&-/-!6!*'!'./-0&'/%<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<GK ^I\I\(6#01IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\` ^I\I]1.31/#/7#6#6!1&("16IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\b ^I\I^-/!#"#-6(67#.IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]] ^I\I_1/7+#?.#"("6IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]^ I<H!.()%.!./&-/-!6!*'!'/-)<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<HM ^I]I\(6#01IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]b ^I]I]1.31/#/7#6:7(-(@"16IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]c ^I]I^-/!#"#-6(67#.IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^[ J<)'%0.!)'.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<II '4)G;0'&'/).--<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<IK G<G'/-)0!*'<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<IK G<H%.!!!*'%)..!./&.--<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<IL G<I!-&%),0.%--<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<IM G<J-)')'/!'0<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<IN \I_I\%#!71"133-#5IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^d \I_I]"5OIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^d G<K0!*'--<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<JH G<L-0'!.0'!)'&!'/)<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<JI '4)H;)'/$%.'.)-><<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<JK '4)I;2%0!*'%+-)-&'/%<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<JO I<G&+%!!)->!%/-)<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<JO I<H)'/)-+0%.).<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<KN '4)J;!.%.!./&-/-!6!*'!'./-0&'/%<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<LI !%!)-"<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<NK <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<NM G<%!)&"'!&)./'!).<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<NO H<%!))'!!)'.+-%-%!6!*'<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<NO I<%!))'!!)'.%%.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<NO (( <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<OG G<0-.).&/-!%.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<OI G<G0-.).&/-!%.0'!%.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<OJ G<H0-.).&/-!%.&)-/!6%.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<OJ H<-$)/-!!)+)-/!&+)&+%)<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<OK I<)./.-!*'%-$)!'-)<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<OL J</-!%0'!%<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<OL K<- ).2!.)%<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<OM L<./)./-&!/!*'5'2")<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<OM M<+%!!*'!&+0./).<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<OM  '!!0-. (&:5\P64:#."#-6#/615NIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^ (&:5]P51!#61351 7#/#5-6#0-"#IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIa (&:5^P5#!:#/!("#-6#0-75/6.(7("315#-6#/615IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIa (&:5_P5#!:#/!("# 7("1IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIb (&:5`P#0-"##/:6#/!("#"133-#5?6#0-!13-"IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIb (&:5aP#0-!1/6#0-!13-"IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIc (&:5bP51!#61"#"#7#!!(2/"#-6#/615IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIc (&:5cP#63:#67"#-.3-(%(!"15O%(-751"#IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIId (&:5dP63#!751"#-#/75""#-%(-751?%(-751"#IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIId (&:5\[P63#!751"#-6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\[ (&:5\\P#0--6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\[ (&:5\]P(67#."#!5!7#5(@!(2/!1/#!7"1!1//7#/6?! -#IIIIIIIIIIIIIIIIIIIIIIIIIIIII\^ (&:5\^P5(.#513!(2/R1":-"15SIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\_ (&:5\_P#&:/"13!(2/R#@!-"15#6?6SIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\_ (&:5\`P:3:#6716(.:-5IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\` (&:5\aP1/7+#(/675:.#/7-IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\a (&:5\bP#@!-"15IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\b (&:5\cP(-751361 +1IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\ c  (&:5\dP1 (/"#! -#"#b.#7516IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\c (&:5][P7#/:"15#6<5( -#6IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\d (&:5]\P!13-"15IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\d (&:5]]P#/#5"15&(-#/7#!'/1-1&(#6c]`bIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII][ (&:5]^P&(-#/7#!'/1-1&(#6^^]][IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII][ (&:5]_P6!(-16!13(1&(-#/7#!'/1-1&(#6a[`_IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]\ (&:5]`P/-(@"15"##63#!7511'"#V!'=5@^[IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]\ (&:5]aP:#/7#6"#-(.#/7!(2/&(-#/7^a][IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]]  ((( (&:5]bO-/!#"#-6(67#.IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]^ (&:5]cP1/7+#"#-6(67#."#!5!7#5(@!(2/IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]^ (&:5]dP.3-(%(!"15O%(-751F!1.35"15F"(<(615?!1/7"15"#-6#/615OIIIII]_ (&:5^[P#0-.1":-"15"#-R.5(--1S?6#0--6-(""#-%(-751R<#5"#SII]` (&:5^\P-(""#-"(<(615IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]` (&:5^]P64:#."#-.1/7+#%(/-"#-6(67#."#!5!7#5(@!(2/(/7#&5"1IIIIIIIIIIII]b (&:5^^P(67#."#!5!7#5(@!(2/(/7#&5"1IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII]c (&:5^_P?-#/75""#-"1=/O!1/<#57#5IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^[ (&:5^`P#0-"#6-(""#-"1=/O!1/<#57#5IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^[ (&:5^aP#0-"#6-(""#-.#@!-"15IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^\ (&:5^bP(&5."# -14:#6 6(!1"#:/5"5IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^` (&:5^cP"5#635(.5(1?6#!:/"5(1IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^a (&:5^dP"5#6O?"#3:-616IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^b (&:5_[P(&5."# -14:#6"#:/5"5&#/$5(!1IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII^c (&:5_\P"5OIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII_[ (&:5_]P5#!:#/!(75/6.(7("F5#!( ("?"(%#5#/!(#/75#. 6R 7("1SIIIIIIIIIIIIIII_\ (&:5_^P#-!(2/!1.;/#/75#. 63#/"(#/7#6IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII_\ (&:5__P(&5.35"#7#5.(/5#--!/!#"#-5"5IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII_] (&:5_`P63#!751#-#!751.&/$7(!1IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII_^ (&:5_aP64:#."#-6#/615NIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII_` (&:5_bP1/7+#"#-6#/615OIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII_a (&:5_cP #@-"##/.(!51675(3IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII_a (&:5_dP-!"#-&#/#5"15"# 55("1?75(&IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII_b (&:5`[P-!"#351!#6"1IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII_c (&:5`\P5#!:#/!(#0-IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII_d (&:5`]P#0--#/75""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`[ (&:5`^P#0--6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`[ (&:5`_P63#!751"#-#/75""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`[ (&:5``P63#!751"#-6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`[ (&:5`aP5#!:#/!(#0-IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`\ (&:5`bP#0--#/75""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`\ (&:5`cP#0--6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`\ (&:5`dP63#!751"#-#/75""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`\ (&:5a[P63#!751"#-6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`\ (&:5a\P5#!:#/!(#0-IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`] (&:5a]P#0--#/75""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`] (&:5a^P#0--6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`] (&:5a_P63#!751"#-#/75""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`] (&:5a`P63#!751"#-6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`] (&:5aaP5#!:#/!(#0-IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`^ (&:5abP#0--#/75""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`^ (&:5acP#0--6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`^ (&:5adP63#!751"#-#/75""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`^ (&:5b[P63#!751"#-6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`^ (&:5b\P5#!:#/!(#0-IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`_ (&:5b]P#0--#/75""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`_ (&:5b^P#0--6-(""#-%(-751IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII`_ a /-6(&:(#/7#%(&:56#35#6#/7:/"(&5."#-351!#61H  !0-H?-).)+-)/'-%.(%  5 #--1 -1 35(.#51 4:# 6# ' 5#-(@"1 ' 6("1 &#/#55 - %5#!:#/!( "# - 6#0- 75/6.(7(" !1/ 5#63#!71 - 7(#.31F 7/71 35 .1":-"15 6#/1("- !1.1 35 75(/&:-5I  !1/7(/:!(2/F 6# &#/#5 - %5#!:#/!( "# - 6#0- 5#!( ("  357(5 "# - %5#!:#/!( "# - 6#0- 75/6.(7(" 3-(!/"1 :/ 5#75"1 4:# 6# !155#631/" !1/ - "(67/!(I(6#7:<(#5 -/!1#/.1<(.(#/71F6#'"#0"(5#-"#63-@.(#/71"133-#5I /-%(&:5^6#.:#675-5#35#6#/7!(2/"#-%5#!:#/!("#-6#0-75/6.(7("315#- 5"57#/(#/"1:/6#0-.1":-"15"#b,@!1/:/"#6<(!(2/"#%5#!:#/!("#3(!1 "#\`[@I  A)0%)-.')!%   A)0%)-/-!'0%-  !0-I?-0'!%.(%/-'.&!/!+)-%.'.)- !1/7(/:!(2/6#1 7(#/#-%5#!:#/!("#-6#0-"# 7("1!-!:-/"1-"(%#5#/!(#/ %5#!:#/!("#. 66#0-#6R75/6.(7("?5#!( ("SI(!'1 7("1#6"#%15.6#/1("- 716"# #/75"H Δ%F%.F%"FIII #/#5!(2/"# -6%5#!:#/!(6 "#-66#0-#6 75/6.(8"6? 5#!( ("6315#- 5"5 -!:-1"#- %5#!:#/!("# 8"1 #/#5!(2/"# -6#0-"# b !:/"1 7#/#.16 .1":-"15 6#/1("-F ? "# %15. !:"5" !:/"1 7#/#.16 .1":-"1575(/&:-5F7-?!1.16#.:#675#/-6(&:(#/7#%(&:5R -/!1`.#7516SH  A)0%)-.')!%  A)0%)-/-!'0%-  !0-J?-0'!/!) ##67#.1"1F-6#0-"##/#-!61"#:7(-(@5.1":-"1575(/&:-56#5:/6#0-"# %5#!:#/!( !1/67/7#F 35#6#/7/"1 !. (16 "# %6# #/ !" 6#.(!(!-1 "# .1":-"15I 15#-1751-"1F#/#-!61"#:7(-(@5.1":-"156#/1("--6#0-"#6#5:/6#0- <5( -##/%5#!:#/!(35#6#/7/"1-16.(6.16!. (16"#%6#4:##/#-!61/7#5(15I  A)0%)-.')!%  A)0%)-/-!'0%-  !0-K?(%'0.'!)++%-5.(%)+% :/"1#>(67#"133-#5F-%5#!:#/!("#-6#0-"#!. ("#./#5351315!(1/-- "133-#5#/!"6#.(!(!-1F6(#/"1#/:/6#.(!(!-1.?15?#/1751.#/15I c . ($/ 6# ' &#/#5"1 - 6#0- (/"#6# -# 4:# 6# !13- 35 #<-:5 #- :#/ %:/!(1/.(#/71"#-%(-751I  A)0%)-.')!%  A)0%)-/-!'0%-  !0-L?(%)'.(%)+% H<H !&0%!*'%//)-%-- /<#@1 7#/("-6#0-F$6736315:/351!#614:#%(/-(@!1/-"#7#5.(/!(2/ "#-"(67/!("#- -/!1F7-?!1.16#.:#675#/#-6(&:(#/7#"(&5.H  !0-M?-).)/!*'%.'.)- 135(.#514:#'!##-6(67#.#6%(-755-6#0-"#I5#--16#'(.3-#.#/7"1:/ %(-751361 /":77#5=157'"#7(31R5(@"1#/- /""#361S?"#15"#/_I67# %(-7517(#/#:/ /""#361"#6"#\[[,@'67][[,@F:/4:#- /""#361 3:#"#6#5.1"(%(!"315#-:6:5(1I #0-"# (-751"# 1.35"15 1/7"15 d  !0-N?.+0./%&+%!!)->!%/-)  A)0%)-.')!%   A)0%)-/-!'0%-  !0-O?.+/-)%'/-%!%/-)5!%/-)  A)0%)-.')!% #0-!13-" #0-!13-" 0/             &(""#!+" $&!#!$!+"!!$ &"!!$'#!%!$"", $"!(# "!$!!'#!"$""$!#$#!&#0"'&! !"$# ! 0/,  !#!  "# &! " $ #!  "#   $ " $#!, "$"!!(&!""$""&"#!"#" $!",  ! ! "     ! $!+ " $ '!$"$#($!"$" $"!!#! "!!#!""-$"!$#.,"#! !+"$#"!#+ $ #!-0//(. $("""$, $#!$$!+$"&!$01/(! $1#!"+"!"#!$"!"$#"2(, \\ /#-/#>1^6#.:#675/5#35#6#/7!(1/#6"#-6#0-"#-#/75"?6-(""#-%(-751 ?6:6#63#!7516F"#.6"#-/;.#51"#3:-6164:#!:#/7#-351&5.#/7- !1/ "(%#5#/7#635.#7516"##/75"!1/#-%(/"#6#5!1.35"1!1/-6.#"("65#-(@"6 #/#-!3)7:-1^I     \^ I< !.()%.!./&-/-!6!*'%.'.)- -6(67#."#!5!7#5(@!(2/"#-6#/615T`U#673#/6"135!5!7#5(@5%)6(!.#/7#- 6#0- 5#%-#+" 315 #- -/!1 R"133-#5 (/!-:("1SI 5 #--1 6# '/ 3-/7#"1 <5(6 7131-1&)6F"#-64:#6#<(#51/<#/7+6#(/!1/<#/(#/7#6"#!":/I-6(67#."# # 6#5!3@"#5#!( (5-6#0-F3-(!5-#:/"#63-@.(#/71"133-#5#(/751":!(5#-5#75"1 61!("1-"(67/!(I 55#!( (5-6#0-#(/751":!(5#-5#75"1#-6(67#.3:#"#6#5!1/#!7"1"#"(%#5#/7#6 ./#56F7-?!1.16#.:#675#/-%(&:5\]H  !0-GH?A!./&-/-!6!*')'/)+)-%A)''/'.  A!./&-/-!6!*')'/))''/'.5% 15#-1751-"1F353-(!5-##-"#63-@.(#/71"133-#5-6#0-75/6.(7("315#- 6#/6156#'/3-/7#"1"1613!(1/#6I 35(.#513!(2/!1/6(67##/'!#5365-6#0-75/6.(7("315:/.1":-"15I 6#0- 75/6.(7(" .1":-" #/  7#/"5 #/ #- !61 ("#- #- .(6.1 63#!71F 3#51 "#63-@"-%5#!:#/!(.1":-"15R"133-#5#/#67#!61SI \_  !0-GI?-!&-)+!*'@)0%)-A  6#&:/" 3513:#67 #6 .6 !1.3-#+I / -:&5 "# :/ .1":-"15 F 6# :7(-(@ :/ 6(67#. !1.3:#671 315 .#@!-"15#6F 16!(-"15#6 ? %(-7516 "1/"# 6# '!# :/ "1 -# !1/<#56(2/ #/ %5#!:#/!(I  35(.#5 #73 '!# :/ !1/<#56(2/  + %5#!:#/!( ? "#63:$66#6: #!1/1751!1/#-"133-#5?(/!-:("1F7-?!1.16#.:#675#/-%(&:5 \_I . 16 16!(-"15#6 "# #/ 7#/#5 :/ 5#%#5#/!( !1.;/ 35 ./7#/#5 !(#571 6(/!51/(6.1I   !0-GJ?0')+!*'@6%)-.5.A 35(/!(3-<#/7+"#-35(.#513!(2/#66:6(.3-(!(""?6:35#/7# +1!167#3:#6 6#5#4:(#5#&#/#55-66#0-#6O"#-.1":-"15357(5"#-6#0-"133-#5I-&5/ (/!1/<#/(#/7# #6 #- +1 (6-.(#/71 #/75#  ?  4:# &#/#5-.#/7# 7(#/#/ #6716 6(67#.6TaUI /#-!61"#-6#&:/"13!(2/#-6(67#.#6.6!1.3-#+1F"#!167#6(.(-51.?15 3#51!1/:/.#+15(6-.(#/71I  \` I<G !.()5&)'/$%.!./&-/-!6!*'!'./-0&'/% #63:$6 "# <#5 -6 <#/7+6 # (/!1/<#/(#/7#6 "# !" 3513:#67F 6# ' #6!1&("1 - 6#&:/"13!(2/F4:#:/4:#3:"(#56#5"#:/.?15!167#F-"(%#5#/!(/16#5).:? /17 -#?6#!1/6#&:(5).?15(6-.(#/71#/75#3:#576I I<G<G !.() -6(67#.6#'"(6#0"135:/6(7:!(2/5#-!1.1-4:#6#1 6#5<#/-%(&:5\`I  !0-GK?0+0./).!&0%- #'!1/6("#5"1:/317#/!(75/6.(7(""#[".!1/:/ -/!1"#6#!!(2/5"5"# σi\.]:/"(67/!("#`.#7516I&//!("#-6/7#/6"#-6#/615#6"#^"?- %5#!:#/!("#-6#0-75/6.(7("#6761 5#-16\\Kb`@I 3-(!/"1-#!:!(2/5"5T\U6#1 7:<14:#-317#/!(#/#-5#!#3715#6"#:/16Ocb ".I         λ  σ π     # ("1  4:##/ #- - 15715(1/1 6# "(631/)"# .3-(%(!"15#66# ' 137"1315 :/ .1/7+# 6(/ /7#/6 !1/#!7/"1 #- 6(67#. !1/ #- 6#/615 315 .#"(1 "# :/ ! -# ? 6# 0"(#51/7#/:"15#6<5( -#635+:675#-/(<#-"#R%(&:5\aSI. ($/6#0"(2 :/!13-"1535<#5:/.:#675"#-6#0-75/6.(7("#/#-/-(@"15"##63#!7516I 5"(!'1.1/7+#'6("1/#!#65(1H O #/#5"15"#6#0-#635&#/#55-6#0-.1":-"15"#-6#/615I ]]  1'"#V!'=5@^[F][@O_[@ 5#!(6(2/"#%5#!:#/!(]K`Q\[O\\g #61-:!(2/.)/(."#/!'1"# /"\@ /!'1"# /""#<)"#1.)/(.1\@ /&1"(/.(!1.>(.1\a[" :#/7#6"#-(.#/7!(2/  !0-HL?0'/.%!&'/!*'!%'/ILHF  &(-#/7^a][F[O]`[O\:-1:73:7 17#/!(.>(.1`[ (@"1?5:("1#/#-5/&1"#][@][@.#/15"#^`[μ  I<G<I %'%.!./& /<#@#6!1&("16-16!1.31/#/7#64:#!1/67(7:(5/#-6(67#."#!5!7#5(@!(2/6#' 36"15#-(@5:/ -/!#"#-6(67#.I ]^  !0-HM>%'%.!./& 1/6("#5/"1-6(7:!(2/5#-6:3:#67R317#/!(75/6.(7(""#[".S6#'!-!:-"1 - 317#/!( #/ !" 3:/71 "#- 6(67#. "# !:#5"1 !1/ -6 #63#!(%(!!(1/#6 "# !" !1.31/#/7#I?4:#6#0-54:##-! -#:7(-(@"1#6"#:/-1/&(7:"5#-"#b.#7516 R#4:(<-#/7# \[ .#7516 #/ #- <!)1SF315-14:#6: 7#/:!(2/#6"#\_ " R]"N.SI :./"171"6-67#/:!(1/#66#'--#&"1-!1/!-:6(2/"#4:#. 167#/:"15#6 "# #5/(/751":!(5:/63$5"("6"#a["I3#65"#4:#61-1!1/#-7#/:"15c_da #6316( -#7#/:5a["F6#'"#+"1#-17513156(#5/#!#65(1'!#5-&;/+:67#(/ 6(7:I  I<G<J )'/$5&!. /-6(&:(#/7#%(&:56#.:#675:/%171&5%)"#-.1/7+#H  !0-HN?)'/$%.!./&-/-!6!*' ]_ /<#@.1/7"16#3625#-(@5-6.#"("6/#!#65(6I-6#/615(/"(!-35#6#/!( "#:/ -/!1"#3#/"(#/"1"#-/;.#51"#3:-6164:#!:#/7#R351315!(1/--%5#!:#/!( .#"("#- 7("1SI15#--1F6#'/.#"("1<5(1635.#7516H O .3-(7:""#-6#0--6-(""#-%(-751#/5.3"#6: ("? +" O 5#!:#/!("#-6#0--6-(""#-%(-751#/5.3"#6: ("? +" O A"#3:-616!1/7"16#/\.6-6-(""#-"(<(615  !0-HO?&+%!!)->!%/-):)&+-)-:!2!.)-5)'/)-%.'.)-> " :/1 "# #6716 35.#7516 ' 6("1 .#"("1 35 "16 %15.6 "# 1/" "# - 6#0- .1":-"15"#-!1/"(67(/76%5#!:#/!(6R%.SF?<5(16"#63-@.(#/716"133-#5R%"SI -5#671"#35.#7516"#-6#/615!1.161/-"#6<(!(2/"#%5#!:#/!(F-%5#!:#/!("# 3157"15 1 #- .(6.1 %(-751 "#  /1 6# '/ .1"(%(!"1F #63#5/"1 4:# 6#/ -16 "#!:"16354:##-6#/6157#/&:/-!/!#.>(.1"#`.#7516I"#.6"#-! -# 4:#6(.:-5:/ -/!1`.#7516F6#'/'#!'11756.#"("6!1/:/! -#.?15F!1/ #-%(/!1551 155#--!/!#"#-6#/615I  !1/7(/:!(2/ 6# .:#675 :/ #+#.3-1 "# -6 .#"("6 71."6I / #- /#>1 _ 6# .:#675/71"6-6.#"("6I "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ ^K_ \b[ ^K_ \b[ \b h][ ]Ka \`[ ^K\ \d[ \c h_[ ]K] \^[ \Kd ]\[ \c ha[ ]K\ \\[ \K\ ]^[ \b hc[ \Kb \[[ [Kd ]`[ \_ h\[[ O O O O \] ]` h\][ O O O O \\ h\_[ O O O O \[ h\a[ O O O O \\  %K?0./-%.&!.%.!./&-/-!6!*'  /-%(&:5^[6#.:#675:/%171&5%)"#-3/7--"#-16!(-16!13(1":5/7#-71. "# .#"("6I  - (@4:(#5" 7#/#.16 :/ 6#0- .1":-"15 "# 7(31 6(/:61("- ?  - "#5#!':/75(/&:-5Rg!(!-16: (""#-_`gSF. 6"#_K`,@I#-.(6.1.1"1#/- %(&:5^\6##/!:#/75-6-(""#-"(<(615":5/7#\.6I  !0-IF?(%&)0%)-%@&-!%%)A5.(%%.%!%!%/-)@2-A  !0-IG?%!%!2!.)- 15 ;-7(.1F :/ <#@ 5#-(@"6 -6 .#"("6 6# ' '#!'1 :/ !1.35!(2/ !1/ -16 5#6:-7"164:#6#'/1 7#/("1"#-66(.:-!(1/#6#/7- (/751":!(#/"135.#7516 "##/75"6(.(-5#6I##67#.1"1F6#'!1/7"1!1/<-15#64:#!1(/!("/#/75#6)? 4:# 7. ($/ 7#/&/ 6#.#+/@ !1/ -1 7#25(!1F +/"1 - 316( (-("" "# 6!5 !1/!-:6(1/#6#552/#6I #63:$6 "# !1.355 -6 .#"("6 !1/ -6 6(.:-!(1/#6 6# ' 3#5!( ("1 - 35(/!(3- "(%#5#/!(#/75#. 64:#6#3:"1<#57. ($/#/-66(.:-!(1/#6G#-/!'1"# /" "#5#4:#5("1!1/.1":-"156#/1("-#6.?154:#-:7(-(@5.1":-"1575(/&:-5I ]a 15 #--1F #/75# 6#.(!(!-16 6# 3(#5"# #/#5&) !:6/"1 4:# #67/"1 #/ -6 .(6.6 !1/"(!(1/#6!1/:/.1":-"156#!:#/7#/.63:-6164:#!1/-175I 151751-"1F#-35(/!(3-(/!1/<#/(#/7#"#-.1":-"1575(/&:-5#6-!/7("""# 5.2/(!164:#&#/#5F"#.6"#:/6#0-(/"#6#""#&5/.3-(7:"4:#6#35#!( #/ !. (16 #/75# 6#.(!(!-1 ? 6#.(!(!-1 3:"(#/"1 "(%(!:-75 #/ #- 351!#61 "# "#!(6(2/ R%(&:5^[SI - (&:- 4:# #/ -6 6(.:-!(1/#6F #- %(-751 "#  "# \[[ ,@ -(.(7 - "#7#!!(2/ "#- "(6316(7(<1F61 5#71"1#/35#6#/!("#"133-#5F'!(#/"14:##-/!'1"# /""#- 6#0-:.#/7#!1/6("#5 -#.#/7#I  ]b I<H !.()%.!./&-/-!6!*'!'/-) / #67 %6# 6# ' 35#7#/"("1 1 7#/#5 :/ "(6#01 "# :/ 6(67#. "# !5!7#5(@!(2/ (/7#&5"1F #4:(<-#/7# - 6(67#. (/675:.#/7-F "# +1 !167#F 7.01 ? 3#61 4:# 6# %!(-.#/7#75/63157 -#I I<H<G !.() -.1/7+#4:#3#5.(7##-- 15715(1#6#-4:#6#.:#675#/-%(&:5^]I1.16#<#6# "(631/#"#:/!.5/#!1(!"#:/-5&1"#^.#7516I/#--"1(@4:(#5"16#.1/7#- 6#/615?#/#-"#5#!'1-6.(6.6/7#/6"#-6#/615R^"S.671"16-16#-#.#/7164:# !1/67(7:?#/#- 6(67#."#!5!7#5(@!(2/I/ -%(&:5^^ 6# .:#675:/#64:#..6 "#7--"1I # ("1-7.01"#-!.5#-5#75"1"#-6#0-"# #5!1.3-#756#!1/:/ 1 (/ "#! -#I  !0-IH?.,0&%&)'/$!'%%.!./&-/-!6!*'!'/-) /#67#!61F"(%#5#/!(4:##/#-"#-6(67#.(/675:.#/7-F6#7(#/#35#6#/7##-#%#!71 "#-6/7#/6I ]c  !0-II?!./&-/-!6!*'!'/-) -(&:-4:##/#-.1/7+#(/675:.#/7-6#'/!-!:-"1-16!1.31/#/7#64:#(/7#&55/ #-6(67#.354:##-6#/6155#!( :/317#/!("#Ocb".I -6(67#."#!5!7#5(@!(2/6#'!1/6("#5"1:/"(67/!("#].#7516"#-6#/615F 6(#/"1-63$5"("6#/#-#63!(1-( 5#"#:/16`_"I##67#.1"16#'!-!:-"14:##- 6(67#."#!5!7#5(@!(2/"# #7#/#5-#/75":/16O`_".?-6-("O^^".I I<H<H )&+)''/.0/!%!6). 16!1.31/#/7#64:#%(/-.#/7#6#'/:7(-(@"161/H  1.31/#/7# /(""#6 5! #%#5#/!( .3-(%(!"15"# +1 /(<#-"#5:("1 ] (77(7# `\a 1=/O1/<#57#5 \ (77(7# d[c` %5!!(1/- ] (77(7# bbca #@!-"15 \ (77(7# _\]  %L?)&+)''/.%.!./&!'/-) !1/7(/:!(2/6#"#7--/-6!5!7#5)67(!6"#-16!1.31/#/7#6:7(-(@"16 .3-(%(!"15"# +1/(<#-"#5:("1 //!( ][" (&:5"#5:("1 ]" ]d /&1"#%5#!:#/!( bP\b@ 17#/!("#6-("\"! \`". ^R6-("S ][".  %M?.+!!!)'.%&+%!!)- 1=/O!1/<#57#5 /&1"#%5#!:#/!( dO\]@ /&1"#%5#!:#/!( `F`P\`F`@ /&1"#%5#!:#/!( O^F`@ //!("#!1/<#56(2/ \\" (&:5"#5:("1 ]F]" #!'@1"#(.&#/ ]`" 17#/!("##/75"\"! O`". (6-.(#/71RNS `[" (6-.(#/71RNS \[" ^R#/75"S ]".  %N?.+!!!)'.%)3'>)'2-/- %5!!(1/- /""# dFa@P\[Fc@ 17#/!("#6-(" _P\^". #61-:!(2/ ^@ 5#!:#/!("#5#%#5#/!( P^`[@  %O?.+!!!)'.%-!)'% #@!-"15 /&1"#%5#!:#/!( dP\`@ /&1"#%5#!:#/!( dP\`@ /&1"#%5#!:#/!( P]F`@ $5"("6"#!1/<#56(2/ c" (&:5"#5:("1 c" ^[ 17#/!("##/75"\"! \\F`". ^R/75"S \d". (6-.(#/71N __" (6-.(#/71N _]" (6-.(#/71N ^["  %GF?.+!!!)'.%&6%)-  I<H<I %'%.!./&  - 6-(" "# -16 "16 .3-(%(!"15#6 7#/"5).16 - 6#0- "#  4:# 6# .#@!- !1/ #- 35(.#5H  !0-IJ?5%'/-%)3'>)'2-/- -6-(""#-"1=/O!1/<#57#5-6#0-7#/"5#-6(&:(#/7##63#!751H  !0-IK?(%.%!%)3'>)'2-/- -"1=/O!1/<#57#535#6#/7:/(6-.(#/71#/75#-3:#57?"#]["F315-14:#- /""#\\Ka\\Kd@36-6-("!1/:/317#/!("#O^_".I-(6-.(#/71 #/75#3:#576?#6"#\["315-14:#-6#0-"#-36-3:#57"#!1/[ ".R6#'!1/6("#5"14:#-6317#/!(6"#-16"166#5/"#\[".SI15;-7(.1F#- "(6316(7(<17(#/#:/5#!'@1"#(.&#/"#^^"5#6:-7/"1$677#/:"'67O^b".I (/-.#/7#6#'!#-!1/<#56(2/.#"(/7##-.#@!-"15_\]5#6:-7/"1H ^\  !0-IL?(%.%!%&6%)- -6-(""#-.#@!-"156##/!:#/75- /";7(-?6:(.&#/!1/:/317#/!("#O\] ".+:/7117516#63:5(16I16#'0"("1/(/&;/%(-751"#63:$6"#-.#@!-"15?4:# #-6#/615!:#/7!1/:/1?#-5#671"#6#0-#6/16:31/"5//(/&;/351 -#.I   ^c  !0-JF?!-&%),0.0'--'-!)  6#0- 4:# #.(7# #- 5"5F /15.-.#/7# :/ 6#5(# 5#3#7(7(< "# 3:-616 1 5.36 "# %5#!:#/!(F6#&#/#5#/-357#"#-75/6.(615?6#5"(-#63!(175<$6"#-/7#/I -":3-#>153#5.(7#4:#!1/:/61-/7#/6#3:#"5#-(@5-75/6.(6(2/?5#!#3!(2/ "#-6#0-I5"(!(2/#.(7("6#3513&315#-#63!(1'674:##6(/7#5!#37"315 #- -/!1F#/#-.1.#/71"#-!1-(6(2/:/357#"#-6#0-#65#%-#+"#/-"(5#!!(2/ "1/"# 6# #/!:#/75 #- 5"5F #67 6#0- - !37 - /7#/ ? #6 .3-(%(!" 315 #- 5#!#3715I #"(/7# #- .#@!-"1 "# - 6#0- "#- 16!(-"15 -1!- 6# 5#-(@ :/ "#63-@.(#/71"#6!#/"(#/7#"#-6#0-5#!( (""#-":3-#>15I/#-!61"#4:##-/(<#- "#-6#0-#66:%(!(#/7#6#351":!#-"#7#!!(2/"#-1 +#71TbUI 15.-.#/7#:/5"5(/"(!-"(67/!(?#-/&:-1"#- -/!1F#67(/%15.!(2/6# 3:#"##/<(5"(5#!7.#/7#:/.1/(7151.#"(/7#351!#6"1"#6#0-#>75#517516 35.#7516"#-6#0-"##!1!37"I G<J -)')'/!'0 /"#-6&5/"#6<#/7+6"##67#7(31"#5"5#6-%!(-(""4:#3#5.(7#-'15"# .#"(5 #- #%#!71 "133-#5F 3#5.(7(#/"1 R!1/ -&;/ 7(31 "# !1"(%(!!(2/S .#"(5 - .(6.1 7(#.31-"(67/!("#- -/!1I "#.6 #/75# -6 <#/7+6 "#- 5"5 "# 1/" !1/7(/: #67 - 35#/7# 6#/!(--#@ !1/675:!7(<?-31!#/#5&)4:#"(63#56315#-5#671"#-#63#!751I67#'#!'15#":!# 6(&/(%(!7(<.#/7# -6 (/7#5%#5#/!(6 351":!("6 - 13#55 #- 5"5 #/ #- #/715/1 !(5!:/"/7#F .(#/756 4:# - .(6.1 7(#.31 6(.3-(%(! - !(5!:(7#5) "# 35#6#-#!!(2/ #/ .(!511/"6F%(-75"1F#7!I/-357#"#5#!#3!(2/6#%!(-(77. ($/#-"(6#01""14:# ^d 6#/#!#6(75://!'1"# /""#5#":!("1I151751-"1#- +15#4:#5(.(#/71#/ 317#/!("#-165"5#6"#316( (-(7#-:61"#:/;/(!1!1.31/#/7#"##67"162-("1 #/-#73"#317#/!(I 751"# -16 3:/716%:#57#6"#- 5"5 #/6:%!(-("" "# ./#+5 !1/-735#!(6(2/ "(%#5#/7#6 -/!164:#6#"#63-@/35!7(!.#/7#!:-4:(#5<#-1!(""I 1.1!1/75357(""#-165"5#67(#/#/7. ($/-&:/6"#6<#/7+65#-#</7#6F#- '#!'1"#-75/6.(6(2/!1/7(/:351<1!%:&6'!(#-5#!#37154:#7#5.(//#/%15. "#5:("1#/#-5#!#3715!1.3-(!/"1-"#7#!!(2/1-(.(7/"1-6#/6( (-("""#-5"5TbUI  G<J<G/))++%- #(/!-:?#4:)#-!1/!#371"#-#%#!71133-#56)!1.16:#!:!(2/35!7(!#/#-. (71 5"5I -#%#!71133-#5R#/#-#/715/15"5SF#6#-35#/7#!. (1"#%5#!:#/!("#-1/" 5#%-#+"351":!("1315#-.1<(.(#/715#-7(<1"#- -/!15#63#!71-5"5I  • %"H5#!:#/!("133-#5 • H#-1!(""5#-7(<"#- -/!15#63#!71-5"5 • %H5#!:#/!("#75/6.(6(2/ • #-1!("""#3513&!(2/  G<J<H-> -5"5"#1/"!1/7(/:"#%5#!:#/!(.1":-"5"(#/#5&)"#%15.!1/7(/:F315 -14:#/1#6316( -#6#355-6#0-75/6.(7("?-5#!( ("#/#-7(#.31I6315#--14:# 1 7#/#5-(/%15.!(2/"#-"(67/!(?-<#-1!("""#- -/!161-1#6<( -#6(-6#0- 75/6.(7("6#.1":-#/.3-(7:"1#/%6#I =  _[ "#.6F /1 6# .1":- #/.3-(7:" - 6#0- "# ("1 4:# #6 35!7(!.#/7# (.316( -# 6#355 - 6#0- 5#%-#+" "#- 5#671 "# - (/7#5%#5#/!( "# %1/"1 "# - 75/6.(6(2/I 6 6#0-#65#%-#+"6"#-16 -/!16:/4:#6##/!:#/75#/:/16.#7516"#-5"56#5/ "#!#/6 "# "#!( #-(16 (/%#5(15#6  - 6#0- 75/6.(7("I 15 #--1 #- ;/(!1 .#"(1 35 "#7#5.(/5#-5#7561"#-5#%-#+15#63#!71-175/6.(7("1#675<$6"#-"(%#5#/!("# %6#"#-66#0-#66(6#.1":-//&:-5.#/7#I55#-(@5-13#5!(2/"#5#!:3#55- "(%#5#/!("#%6# 67!1/5#-(@5-.:-7(3-(!!(2/"#-66#0-#675/6.(7("?5#!( ("F :/1"#-165#6:-7"16"##67.:-7(3-(!!(2/6#5:/6#0-!1/-%6#"(%#5#/!("#-6 "16(/(!(-#6R%5#!:#/!("# 7("1SI / - %(&:5 _\ 6# 3:#"# <#5 :/ "(6#01 4:# 5#-(@ -6 %:/!(1/#6 /7#5(15.#/7# .#/!(1/"6I  !0-JG?-> /:/5"5"#6#3:#"#/:65"(%#5#/7#67(316"#6#0-#6355#-(@5-.1":-!(2/F :/7)3(!#6.1":-5-%5#!:#/!(.#"(/7#1756#0-6(/:61("-I /-357#-7"#-%(&:5_]6#1 6#5<:/.1":-"1575(/&:-5?6:5#%-#+1I357(5 "##675#35#6#/7!(2/#66#/!(--1"#.16755#-351!#"(.(#/71"#!-!:-1"#-"(67/!( "#-5"5- -/!1TdUI _\  !0-JH?-0'!/-'.&!/!:-!!5!-'!'/-&.@/!)A "1 4:# #>(67# :/ 5#-!(2/ "# 351315!(1/-("" #/75# Δ%NR.N]S ? %NR]N!S 6#&;/ - %(&:5_^1 7#/#.16-"(67/!(- -/!1H  !0-JI?%!*')&1''/-&.+'!'/.  • .H#5(1"1"#-.1":-"15 • %H5#!:#/!("# 7("1 • H(67/!(- -/!1 • !H#-1!("""# -/!1 • %.H5#!:#/!(.1":-"15 • Δ%H#6<(!(2/"#%5#!:#/!( Δ   =     ⇒=  Δ  _] G<K 0!*'-- #!:!(2/5"55#-!(1/#--!/!#"#:/5"5!1/-6!5!7#5)67(!6"#-75/6.(615F 5#!#3715F /7#/F -/!1 ? #/715/1I 6 ;7(-F /1 62-1 !1.1 .#"(1 35 "#7#5.(/5 - .>(. "(67/!( "#6"# #- 5"5 - -/!1F 6(/1 4:# "#.6 3:#"# 6#5 :7(-(@" 35 #/7#/"#5-13#5!(2/"#-5"5?!1.1 6#35#-"(6#01"#-.(6.1T^UI  !0-JJ?!-&+-/-&!'-%%'%-- (-317#/!(75/6.(7("#6?-/7#/7(#/#:/&//!(F-"#/6("""#317#/!( #/#- -/!1#6H  1/:/ -/!1"#6#!!(2/5"5σF-317#/!(5#%-#+"315$67##/-"(5#!!(2/"#-5"5 #6H  -"#/6("""#317#/!(#/#-5"5H  (-/7#/5#!#37157(#/#:/&//!(#%#!7(<#F-317#/!(5#!( ("-#/75""#- 5#!#3715<(#/#""315H "1/"#F   =λ  π   1 7#/(#/"1-#!:!(2/5"5H        π         σ π  σ π  = _^   =      λ  σ π     676#5)-%15..66(.3-(%(!""#-#!:!(2/5"5I#--6#-#3:#"#/0"(5 3$5"("6"#-6(67#.F#%#!716"#-#/715/1"#-5"51-5#-!(2/NI  G<L -0'!.0'!)'&!'/) 1#>(67#/:/16-).(7#6"#%(/("1635#-5/&1"#75 +1#/%5#!:#/!("#:/5"5I# '#!'1!:-4:(#5"(6316(7(<14:##.(7-&:/%15."#5"(!(2/#-#!751.&/$7(!?:6# #-5#%-#+1"#-.(6.135"#7#!75:/1 +#71#6:/5"5I  !0-JK?.+/-)%/-)&'/!) # '/ "(6#0"1 5"5#6 35 %:/!(1/5  %5#!:#/!(6 4:# </ "#6"# -16 .#&'#5!(16 '67-@1/"#-#63#!751"#-:-75<(1-#7I1635(/!(3(16 6(!1661/6(#.35#-16.(6.16 (/"#3#/"(#/7#.#/7# "# - %5#!:#/!(I (/ #. 5&1 - (.3-#.#/7!(2/ 35!7(! #6 !1.3-#7.#/7#"(%#5#/7#F:/4:#-.?15)"#-165"5#66:#-#/13#55#/-@1/"# -6.(!511/"6 /-7 -\[6#.:#675/-165/&16"#%5#!:#/!("#%(/("16315#-?315-/(2/ /7#5/!(1/-"##-#!1.:/(!!(1/#6RSF6)!1.1-6-#75661!("6!":/"#-6 /"6T\[UI -35#6#/7# 75 + #/ -"#/1.(/" /"4:# !155#631/"# - 5/&1 "# -61/"6 !#/7(.$75(!6RF:3#5(&'5#4:#/!?SI __    ' ') -0'!. ' ') -0'!.  ^@P^[@ (&'%5#4:#/!? RS ^O^[@  ^[@P^[[@ #5?'(&' %5#4:#/!?RS ^[O^[[@  ^[[@P\@ -75'(&' %5#4:#/!?RS [K^O^@            \@P]@  ]@P_@  _@Pc@ :3#5'(&' %5#4:#/!?RS ^O^[@  c@P\]@ : \]@P\c@  \c@P]b@  ]b@P_[@ >75#.-?'(&' %5#4:#/!?RS ^[O^[[@  _[@Pb`@  b`@P\\[@ .. \\[@P^[[@  %GG?'.-0'!:.1'5    _` '4)H;)'/$%.'.)-> -"(&5."# -14:#6"#-6#/6155#-(@"16#.:#675#/-%(&:5_aH   !0-JL?.,0&%.'.)-= 1.131"#.16#-#67!"1"(5#!7.#/7#!1/-6#0-"#-&#/#5"15I/#67#!61 /16#'5#4:#5("1-(/#-(@5"# ("14:##-35#6#/7:/ :#/-(/#-(""I6#0- "#-6#5#357#315:/357#:/.#@!-"1535!1.355-!1/-6#0-5#!( ("F? 315175357#'!(:/%(-7514:#.(/(.(@-16#%#!716"#316( -#6(/7#5%#5#/!(6#>7#5/6I - .#@!-"15F 3:#6F --#& - 6#0- 4:# 6# 75/6.(7# ? - 6#0- 5#!( (" %(-75" ? .3-(%(!"I (/-.#/7#-6#0-"#6#.3-(%(!.#"(/7#_13#5!(1/-#6?F756#--1F6#5#-(@#- 351!#6"1"#"#!(6(2/I# ("1-351>(.("""#-6/7#/6F#-.3-(%(!"15F"#.6 "#/#!#6(75:/-7&//!(F"# ##-(.(/5!:-4:(#5!1.31/#/7#"# +%5#!:#/!( 4:#3:#"#/.6!55-6#0-"#- -/!1I-6-(""##67#.3-(%(!"15O%(-751"#6# !1/#!7#-!1.35"15F#-"(<(615?#-!1/7"154:#6#31/#L\M6(-!:#/7#6!155#!7I -.1/7+#"#-6#/6156#'5#-(@"1#/^3-!6G3-!"#F3-!"# 55("1?75(&? 3-!"#351!#6"1R"1/"#7. ($/6#(/!-:?##-.3-(%(!"15"#SI _a  !0-JM?)'/$%.'.)->  /+  #73 "#  6# ' .1/7"1 #/ .(!51675(3I /!-:?# -16 %(-7516 "#  R ? SF #- .3-(%(!"15"# +1/(<#-"#5:("1RSF#-F#-') 5("1"#^"?#-.#@!-"15I  !0-JN?6%'&!-)./-!+ &+%!!)- _b  #73 .3-(%(!"15O%(-751 6# '!# /#!#65( "# ("1 - (/#<(7 -# ? +1 (6-.(#/71 #/75#?4:#35#6#/7#-5"5I/35(/!(3(1(/7#5#6 315:/-"1F:/%5#!:#/!( !#/75-R 7("1S-735#-(.(/5!1/.?15%!(-(""-!1.31/#/7#"# +%5#!:#/!( 3#51 5#4:#5) 7/71 .1":-"156 "# -7 %5#!:#/!( !1.1 .?15#6 "#6<(!(1/#6 "# %5#!:#/!( "(%(!:-7/"1 17516 63#!716F ? 315 1751 -"1F :/ /!'1 "# /" -1 .#/15 316( -#35#-(.(/5!:-4:(#5 5.2/(!1F 3#51 6(/ #. 5&1 #>(67#://!'1"# /" .)/(.1"# ("1-7(#.314:#6#75"#/351!#65I(/-.#/7#F6#1372315:/#73 !#/75"#/\`[,@!1/://!'1"# /""#:/16\[[,@I %--!)5/-!- 673-!7(#/#-%:/!(2/"#&#/#55-6#0-"# 55("1"#-357(5"#:/!(5!:(71 !1.#5!(-.1/7"1#/:/3-!!1/#!715(@"I(#/#"166-("6F-4:#7!- R6#/1("-F75(/&:-5?7(315.3S?-"#75(&R7(313:-61SI  !0-JO?%%'-)---!)5/-!- %+-).) /#673-!/7#6"#4:#!7;##-!1/7"15F-6#0-6#!1/<(#57#!:"5"315.#"(1 "#:/75(&!'.(77?3167#5(15.#/7#36315:/"(<(615"#%5#!:#/!(315\[I 75<$6"#:/(/7#5%@O]^]#-:6:5(1"# #(/"(!5#-.5&#/"#%5#!:#/!(64:#6# 4:(#5#!1/75I-!1/7"15F4:#3:#"#!1/75#/75#\[?c[,@R\[[?c[[,@!1/7/"1 !1/#-"(<(615SF"5-6-(":/L\M!:/"1!:#/7##/:/(/7#5<-1"#7(#.31"#\.6 7/7163:-6164:##4:(<-&/-5/&1"#%5#!:#/!(6(/"(!"1I      !                 $ !   %             "#  ! $" %              "# " ' " $" (!             `c I<H )'/)-+0%.). !1/7(/:!(2/6#(-:675/:/67 -64:#5#!1&#/#-/;.#51"#3:-616!1/7"16315#- 351&5.#/7- #/"(%#5#/7#6!1/"(!(1/#6I 15."#1/"H5(/&:-5 .3"#6: ("H`[g  (67/!(- -/!1H`. %. %" _,@ `,@ a,@ b,@ c,@ d,@ [ \[ \] \^ \_ \d ][ h][,@ \[ \] \] \^ \b \c h_[,@ \] \_ \^ \` \^ \b ha[,@ \a \a \d \c \] \^ hc[,@ \b \d ][ \b \\ \\ h\[[,@ \d ][ \d \b \_ \\ h\][,@ ][ \c \a \_ \[ \^ h\_[,@ \b \a \` \] \] \^ h\a[,@ \` \_ \^ \] \] \] ! \`F\ \`Fa \`F` \_Fa \^F^ \_F]  15."#1/"H5(/&:-5 .3"#6: ("H_`g  (67/!(- -/!1H`. %. %" _,@ `,@ a,@ b,@ c,@ d,@ [ \[ \\ \^ \` \b \b h][,@ \[ \\ \^ \` \b \d h_[,@ \\ \^ \^ \` \b \b ha[,@ \^ \_ \a \` \_ \` hc[,@ \` \b \d \a \\ \^ h\[[,@ \b ][ ][ \c \] \\ h\][,@ ][ ][ \b \a \^ \\ h\_[,@ \d \d \_ \^ \^ \] h\a[,@ \c \a \] \^ \^ \] ! \_Fb \`Fa \`F] \`F\ \_F\ \_F\ `d  15."#1/"H5(/&:-5 .3"#6: ("H_[g  (67/!(- -/!1H`. %. %" _,@ `,@ a,@ b,@ c,@ d,@ [ \[ \] \^ \a \` \b h][,@ \[ \\ \^ \` \c \c h_[,@ \\ \] \^ \` \c \d ha[,@ \^ \^ \\ \` \b \c hc[,@ \` \_ \c \_ \` \a h\[[,@ \b \d ][ \b \[ \_ h\][,@ \d ][ \c \` \\ \\ h\_[,@ \d \d \b \` \\ \\ h\a[,@ \d \b \_ \_ \] \] ! \_Fb \`F] \`F] \`F\ \_F\ \`F\  15."#1/"H5(/&:-5 .3"#6: ("H`[g(67/!(- -/!1HcF`. %. %" _,@ `,@ a,@ b,@ c,@ d,@ [ \_ \a \d ][ \b \c h][,@ \^ \b \d \d \a \b h_[,@ \` \a \b \d \c \b ha[,@ ][ \] \` \b ][ ][ hc[,@ ][ \^ \^ \_ \d \d h\[[,@ \c \_ \[ \^ \` ][ h\][,@ \a \_ \\ \[ \^ \c h\_[,@ \` \_ \] \\ \] \` h\a[,@ \] \^ \] \\ \[ \^ ! \`Fd \_F^ \_F] \_Fd \`F` \bF_    a[ 15."#1/"H5(/&:-5 .3"#6: ("H_`g(67/!(- -/!1HcF`. %. %" _,@ `,@ a,@ b,@ c,@ d,@ [ \^ \b \d \d \d \` h][,@ \^ \a \d ]\ \c \_ h_[,@ \^ \b \d \d \b \_ ha[,@ \` \` \b ][ \c \` hc[,@ \d \[ \_ \c \d \a h\[[,@ \d \] \] \` \d \c h\][,@ \c \^ \[ \^ \b \d h\_[,@ \b \_ \\ \\ \` \c h\a[,@ \a \] \] \[ \^ \b ! \`Fd \_ \_Fb \aF] \bF] \aF]  15."#1/"H#/1("-  (67/!(- -/!1H`. %. %" _,@ `,@ a,@ b,@ c,@ d,@ [ \\ \^ \b \c \a \_ h][,@ \] \^ \a \a \a \b h_[,@ \] \^ \_ \a \c \_ ha[,@ \] \_ \_ \a \c \a hc[,@ \^ \_ \_ \a \_ \a h\[[,@ \_ \_ \` \_ \` \a h\][,@ \_ \` \` \` \] \a h\_[,@ \` \` \_ \` \^ \` h\a[,@ \` \_ \` \^ \_ \^ ! \^F\ \^Fd \_Fd \`F_ \`F\ \`F]    a\  15."#1/"H#/1("-  (67/!(- -/!1HcF`. %. %" _,@ `,@ a,@ b,@ c,@ d,@ [ \a \a \b \b \_ \a h][,@ \` \a \a \` \` \` h_[,@ \_ \a \b \` \a \a ha[,@ \` \b \` \` \a \b hc[,@ \` \a \a \_ \a \a h\[[,@ \_ \` \b \_ \` \a h\][,@ \_ \a \a \` \_ \a h\_[,@ \` \` \` \` \^ \a h\a[,@ \` \` \` \a \` \a ! \_Kb \`Kb \a \`F\ \_Fd \a    a^ '4)J;!.%.!./&-/-!6!*' !'./-0&'/% 1":-"15H5(/&:-5  .3"#6: ("H`[g H]Kb    5#!:#/!(.1":-"15H^K`,@ .3-(7:"H\Kc33    -#"#Hb.R∅i\[.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ [Kc d` [Ka d` d h][ O O ]K\ \[` d h_[ O O ]K\ \][ \[ ha[ O O ]K] \_[ \\ hc[ O O ]Ka \a[ \^ h\[[ O O ^K_ \c[ \^ h\][ O O ]Ka ][[ \_ h\_[ O O \K_ ]][ \^ h\a[ O O [Kb` ]_[ \a 1":-"15H5(/&:-5  .3"#6: ("H`[g H]Kb5#!:#/!(.1":-"15H_K`,@ .3-(7:"H\Kc33    -#"#Hb.R∅i\[.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ ]K_ \[[ ]Ka \[[ \\ h][ \K\ d[ ]K\ \][ \\ h_[ O O ]K^ \_[ \^ ha[ O O ]Kc \a[ \_ hc[ O O ^K` \c[ \_ h\[[ O O ]Ka ][[ \` h\][ O O \K_ ]][ \` h\_[ O O [Kc ]_[ \` b[ 1":-"15H5(/&:-5  .3"#6: ("H_[g H]Kb    5#!:#/!(.1":-"15H`K`,@ .3-(7:"H\Kc33    -#"#Hb.R∅i\[.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ ]Ka \a` ]K^ \[` \^ h][ ]K] \_` ]K^ \]` \_ h_[ ]K] \]` ]K^ \_` \_ ha[ ]K] \[` ]Kc \a` \_ hc[ O O ^K_ \c` \` h\[[ O O ]K] ][` \a h\][ O O \K^ ]]` \a h\_[ O O [Kc ]_` \` h\a[ O O O O \]  1":-"15H5(/&:-5  .3"#6: ("H_[g H]Kb    5#!:#/!(.1":-"15HaK`,@ .3-(7:"H\Kc33    -#"#Hb.R∅i\[.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ ^K] \d[ ]K_ \][ \a h][ ^ \b[ ]K` \_[ \a h_[ ]K^ \`[ ]Kb \a[ \b ha[ ]K] \^[ ^K_ \c[ \b hc[ ]K] \\[ ]K` ][[ \c h\[[ \K_ d[ \ ]]` \c h\][ O O [Ka ]_[ \c h\_[ O O O O \] h\a[ O O O O \[  b\ 1":-"15H5(/&:-5  .3"#6: ("H_[g H]Kb    5#!:#/!(.1":-"15HbK`,@ .3-(7:"H\Kc33    -#"#Hb.R∅i\[.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ \Ka ]\` ]K_ \`[ \b h][ ]Ka \d` ]Kd \b[ \c h_[ ^K^ \c[ ^Kb \d[ \d ha[ ]Kb \a[ ]Ka ]\[ \d hc[ ]K_ \_[ \K` ]^[ \c h\[[ ]K] \][ [Kd ]`[ \b h\][ \Kd \[[ O O \^ h\_[ O O O O \\ h\a[ O O O O \[  1":-"15H5(/&:-5  .3"#6: ("H_[g H]Kb    5#!:#/!(.1":-"15HcK`,@ .3-(7:"H\Kc33    -#"#Hb.R∅i\[.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ [Kd ]_[ ]Kc \a` \c h][ \K_ ]][ ^K_ \c` ][ h_[ ]K` ][` ]Kc ][` ]\ ha[ ^K\ \d[ \K^ ]]` ][ hc[ ^K\ \b[ [Kc ]_` \d h\[[ ]K^ \_` O O \` h\][ ]K\ \]` O O \] h\_[ ]K\ \\[ O O \\ h\a[ \K_ d[ O O \]  b] 1":-"15H5(/&:-5  .3"#6: ("H`[g H]Kb    5#!:#/!(.1":-"15H^K`,@    .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ \K] \][ \K] \][ \^ h][ \ \\[ \K^ \_` \^ h_[ [K` d[ \K_ \`[ \^ ha[ O O \Ka \d[ \\ hc[ O O [Kd ][[ \] h\[[ O O [Ka ]\` \[ h\][ O O O O a h\_[ O O O O _ h\a[ O O O O _  1":-"15H5(/&:-5  .3"#6: ("H`[g H]Kb    5#!:#/!(.1":-"15H_K`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ \K_ \b` \K_ \b` \a h][ \K_ \`` \Kb \c[ \b h_[ \K^ \^[ \K^ \d` \b ha[ [Kd \\` [Kc ]\[ \` hc[ O O [K` ]\` c h\[[ O O O O a h\][ O O O O ` h\_[ O O O O _ h\a[ O O O O ` b^ 1":-"15H5(/&:-5  .3"#6: ("H`[g H]Kb    5#!:#/!(.1":-"15H`K`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ \K\ ][[ \K` ][[ ][ h][ \K` \c[ [Ka ]][ \d h_[ \K_ \a[ [K_ ]_[ \` ha[ \K^ \_[ [K_ ]a[ \] hc[ \K] \][ O O \\ h\[[ [Kc \[[ O O \[ h\][ O O O O c h\_[ O O O O O h\a[ O O O O O  1":-"15H5(/&:-5  .3"#6: ("H`[g H]Kb    5#!:#/!(.1":-"15HaK`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ [K_ ]\` [K_ ]\` \^ h][ [Kb ]\` O O \a h_[ \K\ ][[ O O \` ha[ \K` \c[ O O \_ hc[ \K_ \a[ O O \^ h\[[ \K^ \_[ O O \] h\][ \K\ \][ O O \[ h\_[ [Kc \\[ O O \[ h\a[ O O O O O b_ 1":-"15H5(/&:-5  .3"#6: ("H`[g H]Kb    5#!:#/!(.1":-"15HbK`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ O O O O c h][ O O O O d h_[ [K` ]]` O O \] ha[ [Kc` ]\[ O O \` hc[ \K^` \d[ O O \` h\[[ \K` \b[ O O \_ h\][ \K` \`[ O O \_ h\_[ \K_ \^[ O O \\ h\a[ \K] \\[ O O \\  1":-"15H5(/&:-5  .3"#6: ("H`[g H]Kb    5#!:#/!(.1":-"15HcK`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ O O O O d h][ O O O O d h_[ O O O O c ha[ [K^ ]_[ O O \\ hc[ [K`` ]][ O O \_ h\[[ [Kd ][[ O O \` h\][ \K^ \c` O O \a h\_[ \Ka \b` O O \_ h\a[ \K_` \a[ O O \_ b` 1":-"15H5(/&:-5  .3"#6: ("H_`g H]Kb    5#!:#/!(.1":-"15H^K`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ \K_ \_[ \K] \\` \_ h][ \K^` \][ \K_ \^` \^ h_[ [Kd \[[ \K` \`` \_ ha[ O O \Kb \b` \^ hc[ O O \Kb \d` \] h\[[ O O [Kc` ]\` \] h\][ O O [K`` ]^` d h\_[ O O O O a h\a[ O O O O _  1":-"15H5(/&:-5  .3"#6: ("H_`g H]Kb    5#!:#/!(.1":-"15H_K`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ \Kc \c` \Ka \`[ \b h][ \Ka \a` \Ka \b[ \b h_[ \K` \_` \Kc \d[ \b ha[ \K_` \]` \K` ]\[ \b hc[ [Kd` \[` [K`` ]^[ \_ h\[[ O O O O c h\][ O O O O ` h\_[ O O O O _ h\a[ O O O O _ ba 1":-"15H5(/&:-5  .3"#6: ("H_`g H]Kb    5#!:#/!(.1":-"15H`K`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ [Kb ]\` \Kc \c` \d h][ [Kd` \d` \K_ ][` ][ h_[ \Kb \c[ [Kb ]]` ][ ha[ \Ka \a` [K_ ]_` \^ hc[ \K^` \_` O O \\ h\[[ \K^ \]` O O c h\][ \ \[` O O c h\_[ O O O O a h\a[ O O O O a  1":-"15H5(/&:-5  .3"#6: ("H_`g H]Kb    5#!:#/!(.1":-"15HaK`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ O O \ ]][ \_ h][ [K_` ]_` [K_` ]_[ \_ h_[ [Ka ]]` O O \_ ha[ \ ][` O O \^ hc[ \K` \c` O O \_ h\[[ \K_` \a` O O \] h\][ \K_ \_` O O \\ h\_[ \K_ \]` O O \[ h\a[ \ \[` O O d bb 1":-"15H5(/&:-5  .3"#6: ("H_`g H]Kb    5#!:#/!(.1":-"15HbK`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ O O O O b h][ O O O O b h_[ O O O O d ha[ [K` ]_` O O d hc[ [Ka` ]]` O O \^ h\[[ \K\ ][` O O \^ h\][ \K` \c` O O \^ h\_[ \Ka \a` O O \] h\a[ \K_ \_` O O \\  1":-"15H5(/&:-5  .3"#6: ("H_`g H]Kb    5#!:#/!(.1":-"15HcK`,@ .3-(7:"H\Kc33    -#"#H\].R∅i\b.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ O O O O c h][ O O O O c h_[ O O O O d ha[ O O O O c hc[ O O O O d h\[[ [K` ]_` O O \\ h\][ [Kb ]]` O O \_ h\_[ \ ][` O O \_ h\a[ \K_ \c` O O \` bc 1":-"15H#/1("-   H]Kb    5#!:#/!(.1":-"15H^K`,@ .3-(7:"H\Kc33    -#"#Hb.R∅i\[.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ ]K\ \]` ]K] \]` \\ h][ ] \[` ]K_ \`[ \] h_[ \K\ \[[ ]Ka \b[ \\ ha[ [Ka \`[ ]Kc \c` \] hc[ [Ka \`[ ]Ka \d[ \^ h\[[ [Ka \_[ ]K_ \d[ \^ h\][ [K` \^[ ]K` ][[ \_ h\_[ [K` \aa ]K^ ][[ \_ h\a[ [K` \]` ]K\ \c` \_  1":-"15H#/1("-   H]Kb    5#!:#/!(.1":-"15H_K`,@ .3-(7:"H\Kc33    -#"#Hb.R∅i\[.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ ] \a[ ] \a[ \] h][ \Kc \_[ ]K` \c[ \^ h_[ \Kc \\` ]K` \d[ \^ ha[ \Ka \\[ ]K_ \d[ \_ hc[ [Kc \^[ \Kd \d` \_ h\[[ [Ka \`[ ]K\ ][[ \_ h\][ [Ka \`[ ]K\ ][` \_ h\_[ \Kb \[` ]K\ \c[ \` h\a[ ] \[` ]K\ ]\[ \_  bd 1":-"15H#/1("-   H]Kb    5#!:#/!(.1":-"15H`K`,@ .3-(7:"H\Kc33    -#"#Hb.R∅i\[.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ ^K] \d` ^ \d` \a h][ ^ \c[ ]Kc ][[ \` h_[ ]K^ \`` ]K^ ]\[ \` ha[ ]K\ \`[ ]K^ \d[ \` hc[ ]K\ \\[ ]K] \d` \` h\[[ \Kb \[[ ]K^ \d[ \_ h\][ [Kc \\` ]K\ \c[ \_ h\_[ [Ka \a[ ]K\ \d` \` h\a[ [K` \a[ ] \d[ \`  1":-"15H#/1("-   H]Kb    5#!:#/!(.1":-"15HaK`,@ .3-(7:"H\Kc33    -#"#Hb.R∅i\[.S "133-#5 R,@S .3IO:3 R33S 5#!IO:3 R,@S .3IO"1=/ R33S 5#!IO"1=/ R,@S A3:-616 "(<(615R\.6S [ ] \d[ ]K] \d[ \b h][ ]Kb ][[ ]K] \d` \c h_[ ^K] \d` ]K_ \d[ \b ha[ ]Kb \b[ ]K] \d[ \a hc[ ]K^ \`[ ] ][` \` h\[[ ] \]` \Kd \d[ \` h\][ \Kd \\[ ] \c` \_ h\_[ \K] \[` \Kc ][[ \` h\a[ [Kb \\` ] \d[ \_   cb                     cd G< %!)&"'!&)./'!). 5!#375!1.1<-("1#-6(67#."#!5!7#5(@!(2/'"#!:.3-(5!1.1.)/(.1!1/ -66(&:(#/7#6!5!7#5)67(!67$!/(!6H • 17#/!("#6-(""#Ocb".±\" • -("5#75""^F^^>\[Oc6#&:/"16R`.#7516S • #63-@.(#/71"133-#5"#[h\a[,@#/6-716"#h][,@ • 63:5(16O\a"!!1.1.)/(.1#/://!'1"# /""#^F`@ H< %!))'!!)'.+-%-%!6!*' #5#!1&#/!1/7(/:!(2/-16#4:(316.)/(.1635-5#-(@!(2/"#-75 +1H • :#/7#"#-(.#/7!(2/!1/"1 -#6-("[O]_!1/!3!(""35]3156-("F !1/3517#!!(2/!1/75!1571!(5!:(71I • 16&#/#5"15#6"#6#0-4:#-!/!#/-.#/16\[F]@!1/:/5#61-:!(2/#/ %5#!:#/!("#][,@I • /16!(-16!13(1!1/!3!(""35<(6:-(@56#0-#6"#\[[@F"#_!/-#6I • //-(@"15"##63#!75164:#-!/!#-16_[@F!1/:/5#61-:!(2/"#- .#/16\[[@I • /4:#7#/&-.#/16:/.(!51351!#6"15/7#-15#`F_"#?`[[ "#"(6!1":51I • 7- ][\[1<#56(2/3167#5(15I I< %!))'!!)'.%%. - 35#6#/7# 75 +1 5#-(@"1%15. 357#"# :/ 351?#!71 "#- # #/!5&"1 315 - #.35#6R1/6:-715#6"#(67#.6"##51/:7(!SI15#--1F71"16-16"716F"(6#016F #64:#.6F(.&#/#6F.#"("6F#7!IF4:#35#@!/#/#67#"1!:.#/71#67/6:+#716 !:#5"16"#!1/%("#/!(-(""I   d\                     d^ 5 - 5#-(@!(2/ "#- 35#6:3:#671 6# '/ 6#&:("1 -6 ;-7(.6 5#!1.#/"!(1/#6  "#- 1-#&(1%(!(-"#/&#/(#516"##-#!1.:/(!!(2/RS61 5#-16 5#.1615(#/77(<16 3575 +16351%#6(1/-#6#/][\\I-35#6:3:#6716#'"#6&-16"1#/<5(66#!!(1/#6 #/-64:#6#'/6#35"1-16"(67(/716!167#661!("16-"#6551--1"#-75 +1I6716 !167#66#"(<("#/#/H \I #!:5616.7#5(-#6 ]I 5 +175(%"13157(#.31#.3-#"1 ^I 167#6"#5#"!!(2/"#-5 +1(/"#5"1 _I 7#5(-%:/&( -# `I #5#!'16"#<(6"1"#- aI 6716"#75.(7!(2/?#/<)1 bI 3-(!!(2/"#(.3:#6716  G< 0-.).&/-!%. 5-#+#!:!(2/"##67#5 +1(/"#)7:-1'/6("1/#!#65(:/6#5(#"#5#!:5616 .7#5(-#6F#/75#-164:#6##/!:#/75/#-61%7=5#35-66(.:-!(1/#6F-16.7#5(-#6 "#-6(67#."#!5!7#5(@!(2/F#4:(316"#.#"("F'#55.(#/76F#-34:#7#1%%(!#35 -5#"!!(2/"#-.#.15(?#4:(316'5"=5#!1.1#-15"#/"151-(.35#615I  .157(@!(2/ 6# !-!:- 61 5# #- 7(#.31 ;7(- "#- 5#!:561 .7#5(-I - 6(67#. "# .157(@!(2/6#71.!1.1-(/#-F6:.(#/"14:##-(/.1<(-(@"1.7#5(-6#"#635#!( "#%15.!1/67/7#-1-5&1"#6:<(";7(-I!:17"#.157(@!(2//:-6#!-!:- :6/"1-6(&:(#/7#%25.:-H         d_ G<G 0-.).&/-!%.0'!%. 4:)6#(/!-:?#/-16.7#5(-#6/#!#65(1635-5#-(@!(2/%)6(!"#-6: 6(67#.I  #%#5#/!( #6!5(3!(2/ /(""#6 5#!(1N:/("" : 717- [\O bbca  \\[_^\O`\a`   \\\]]bOd[c`   \[^^`[O _\]c O(7"##<-:!(2/bbcaR %5!!(1/-S  O-!#<-:!(2/`\a .3-(%(!"15"# +15:("1FdO\c@  O-!#<-:!(2/d[c`N 1=/O!1/<#57#5dO\]@  O-!"##<-:!(2/_\]c #@!-"15"1 -#.#/7# -/!#"1 ]   ]   \   \ b_[F[[   _\`F[[   _d^F[[   ][aF[[ \I_c[F[[   c^[F[[   _d^F[[   ][aF[[  17-RXS ^[[dF[[  %GI>)./)&+)''/. -!167#"#-16!1.31/#/7#66!(#/"#-!/7("""#HRIFFO:FFCSI G<H 0-.).&/-!%.&)-/!6%. /#67# 357"1 6# #<-;#- !167#35#<(671 35!" :/1 "#-16#-#.#/716 4:# 61/ .157(@ -#6I  #!:561 -15"# "4:(6(!(2/ RXS -15 5#6(":- RXS (" ;7(- R016S :17 /:- 61 R.#6#6S :17 3-(! -# RXS :#/7#"#-(.#/7!(2/ #/#5"15%j][@ #/#5"15%j][@\ #/#5"15%j][@] 6!(-16!13(1 /-(@"15"##63#!7516 #@!-"15\ #@!-"15] (-751 1 (/"#! -#b.#7516 1-).#751 7(-#6<5(16R-(!7#F "#6715/(--"15JS 5"#/"15!11,51 \^KK/7#-15#(`_"# .#.15(?`[["# "(6!1":51 ^`[ ][[[ ]_[[[ ]_[[[ ]a[[ _][[[ ][[ ][[ ][ `[ d[ \[[  \[[[    ^[ \`[ ^[[ ^[[ ][[ `[[ ][ ][ [ [ [ [  _[[    c \` ][ ][ \` ][ ` ` ` a c ]  `    _[ \]^F^_ \\c` \\c` \a[ ][b` ^a ^a _ cF^^ \\F]` `[  \][    ] ] ] ] ] ] ] ] ] ] ] ]  _    aFab ][F`` \dbF` \dbF` ]aFab ^_`Fc_ a a [Fab \F^c \Fcc cF^_  _[    d` (!#/!(7- ][\[ (!#/!(4:#7#%%(!# ][\\R!S  ][[[ \][ [ [ ` ` _[[ ]_ ] \ aaFab ]  RXS d]bFab  %GJ>0-.).&/-!%.&)-/!6%. - !167# "# -16 .7#5(-#6.157(@ -#6 6!(#/"#  !/7("" "#H   ROHM:LMCSI H< -$)/-!!)+)-/!&+)&+%) / #67# 357"1 6# !-!:-/ -16 '1/155(16 71./"1 -6 5#!1.#/"!(1/#6 "#- I #"(/7#-6(&:(#/7##>35#6(2/6#!-!:-/-16'1/155(16717-#6H +  • H1/155(16717-#6315#-7(#.31"#"(!"1 • /H156/15.-#675 +"6"#/751"#-+15/"- 15- • #H156#63#!(-#675 +"6 • 7H!715"#!155#!!(2/#/%:/!(2/"#-/;.#51"#'15675 +"6  15675 +"6 !715"#!155#!!(2/ 67^a'156 /75#^a?b]'156 /75#b]?\[c'156 /75#\[c?\__'156 /75#\__?\c['156 /75#\c[?^a['156 /75#^a[?`_['156 \ [Fd [Fc [Fb [Fa` [Fa [F`` %GK>/)-)--!*'.1'% -7(#.31 /#!#65(135#- "#6551--1"#-75 +1 '6("1"# ^[[ '156F315-1 4:#6# 3-(!:/!1#%(!(#/7#"#[FaH ib_FccQ[FaQ^[[hdaFb]Q[FaQ[i\^_bcF_[X