Tartalmi kivonat
!"#$%&'"(" "# ) *+, -+, ./+ 01/ 2/* 3 / 4!%'#5% 66(7 89: ;<=>?9 @?>A<9 BC 89: 8D99E= F : GHIJKL M4!"N6(O PQQR !" ! #" $ % ! & ' ( () $ * ' !" ! ( & ' # '# # ( " ) ( + # " , " $ * ! "+" ( " " ) "+ !" $ - '," !+" " & " ( " , .," " !)
"" !, $ / . " !) !, ) "! "# + " !#'" $ % + " /' ! # ! , " !, 0123 ( " 4' ++ " $ * '# ", ) " $ # +" 5 +" + " ! # ! , " ( 6 !, 789 $ * . " !)" ++! # 5"&( $ % ) " ", (# : $; $8 $ + " , + ++ # # &+" $ - " !, " " ", ," < "# " # 5"& " ", < '( #" ! , (' ( ++ " ++ ) "+ ." $ # " !) !,
$ • * . !) +" # &" ' !, ) $ * !, ' "& !) ", = " & " , "" γ(k) > " $ ∞ • P • " i=0 γ(k) Pm * !, " , X(i) '" ", X X̄ := i=1m ++" & " " " $ −1 O(m • + " ) m *, !, , ",++ # " "() , !, ' & !) ", " , # !) ", " , !, " $ % '(#" ' "" " " ) $ %, , " !, + 0$ + , " , " " + , # " '
" " $ * + " " " ,+ " # ! ' , ! ", & " $ -, " ( " " " 5, , ! ", " " " ", # $ * , ", "",6 # ", 6 " ) , ( " " $ / + + # ! ,+ ) "+ "" # , # .(!( " ) )" $ * . !) , "" $ * ! ( " " & " ?@ A BCDEFGHIGGIJF KJFLDJM NDJLJOJM 8 0$ + $
*" !, " " + ) "+ # " $ "",+ " # & = "# !, ( " $ * # " ( ++ # !, + ( >' +# ++ ' $ " 7 0: 9 $ "" # ' ) . !) ( "" " + & 789 $ " '" . " !) "" !, # " ( ' + " ! ) + $ * ' ! # # , ! ", ," # , , # "" # ! + &) $ % "#
" ) ! # " # # !"++ # $ - ) + ! , "" " , # " ' ) "" ", # " # + " $ % "# ++ ",+ , . " !) !, + , ++ " )( $ / + +" , . " !) !, '" "" !, " ++ , "+ " 6" ) " + + " # " $ % " ## # # " # , , 6 ( , # " ""$ % # " " , !* - '. ! , , .
" !) !, $ * , "+" " ## # , $ % ) , " ! ' '" "" !, ( ; , $ , + " ! ", , ''" # & 6 "# " , "( + !" 6 &'$ * .(""" ! & , # # (6 # "#+ " ' '" "" . " !) & ' !, !) " '(#" " $ % " !, " " # +" ++! #
5"& $ "" " # 5"& ,6( " $ * #+" " ! ) # ", , " " +" ", , ( " ", +", $ % " # ", ,6( "# ", , ", +", ' !" &( $ % " ! ) ! "# " ," # , ) , (' " # , "# + !' # ", $ * + ' # ", " ' +", # (' $ '" " # + , ! ( " ""
+",' " +", , " & ! " " # ", " .( ++ ' ", ( $ * # # (6 !) ", , , + $ %"" ) " '# " ) "+ & ' . !) ", =$ ' "& ! $ ' & ! $ !'" &" !) !) ", ( "# ,+ > ' =$ # 5" $ * # # (6 > # ! # , # ." $ * '" " # # (6 ' " !) ", " $ %"" " "# !++ '( #" $
" '" # # (6 # "#+ " "" !, ! $ , " , # # (6 & ' !, $ * !, # "# + " &" {X(t), '"t ∈ Z} "#(' µ := E[X(0)] = E[X(t)] V := E[(X(0)−µ)2 ] = E[(X(t)− , "" = "& ( " !) > µ)2 ] ∀t ∈ Z ++ !, X(t) & t := E[(X(t)−µ)(X(t+k)−µ)] !) ++ $ γ(k) " "( + , !, = γ(−k) k ∈"Z )" ! ""γ(k) ' "& !) ", # $ * , " " (' &' " () $ * !, ! !) #(' $ = γ(k) ρ(k) := γ(k)
V γ(0) % " !) ", ++ !) ", # 5" '" !, & " # LE $ EG % LEML & ' M ' FG () $ D ' O *% H EL ' H ELI + EI , I % JF - L . GE & ' M ' FM ') + / LEL G L D )- E 0 E % JF , EF E % E %1 LE + I 2 JM ) J % JLL ' D ' 2 H ( F - ' + IGH ' D ' L (, ' F E H ')3 )-' ML & ' M ' FG () H ') ( DL 4 ' L 5 ( G H ') H E )- ED .%4 EL 1 6 : "& ' . ( " ( $ * # 5" (' n−1 k X X ω(n) = γ(i) = nγ(0) + 2 n−1 X ω ( () iγ(n − i), n = 1, 2, 3, · · · . =0 > i=1 k=0 i=−k * ! "" " $ % " !) ", φ(n) = ω(n) = ω(n) V ω(1) " < " ++ " !(' <
",+" , 6 $ * =0 !) " " ' "& !) ", ! ( () & # !) >", ++ #" D ." $ γ = D{ω}, # "& , =8 # 5" '" :n=0 f (1) 1 Di {f (i)}(n) = (f (2) − 2f (1)) :n=1 12 (f (n + 1) − 2f (n) + f (n − 1)) : n > 1. 2 =; > > " "( + "# " #")" # 5" ! $ %, " " " !) ", " )" ! = "# " . > ∀n ∈ Z+ n a X ai f (|i − j|)aj ≥ 0. 1≤i,j≤n ", , # 5" ) # ,+ " ! "" , , !)
", , " !, ' "& !) ", " 7: 9 $ * "" " ++ # 5"&( $ % " # 5"& !, ) "+ # " #" " '" $ * "() !, """ , #+ " ' " '" ", '( #" " #" $ ! " #$ %& ' () *+ " , - ./ " 0& 1 2 3 ) *4 4 )55 *# X(t) " # 5" (' X X (m) 0 (m) X (m) (t) := 1 m !, 0 X (m) =: mt X X(j). mt X X(j) = mAm X (m) (t), (t) := Am j=m(t−1)+1 =2 , # 5" , $ * !, """ Am X "#(' 0 (m) '
"& !) ", "# " " , " $ X > j=m(t−1)+1 X m 2 > % # 5"& ( +" , # 5"& & # = " $ * #+" Am " # 5"& " > ) ! " $ % # 5"& 1−H (m) Am := m−H H ∈ [0, 1] m X (t) !, "& ( $ * ++ +" (m) !,X ' "& X ' & + $ !) ", (m) (m) + $ ( () $ ρ ) , γ # 5"& +" " , " ! +" #+" $ #" , ' 7 02 9 # 5"&( " "+" 0 (m) X !, " & # "#6 " ( & '
"& "X $ " 7 0 9 ( 7 0; 9 # 5"& "" ( & ' "& " "+" ! " ++ # " & ' !, $ " "" # 5"&( " &" ' $ * ++ "" # 5"& () ! " #$ %& ' ( *+ " , - ./ " 0& 1 2 3 *4 4 55 * !, """ " ) (m) ' & !) ", "# " X X X " " , " $ = $ (m) + m ρ = ρ , ∀m ∈ Z > - " '++ = 8 # 5"& " $ > 0 !, " ' "& !) ", (m) X (m) γ ≡ Cm γ Cm = (mAm )−2 $ * , 6 " # 5" ( $
") : $8 $ = m2H−2 m # 5"& %,Cm!, ' A & !) ", ' "& !) ", &' " , ' ""+" $ , !, ' & !) ", , ' "& !) ",) "" ! ( ++ , ' "" ( ) "+ $ , 8 !, " "# , , (m) C γ ≡ C γ m m ++ 8 !, Cm !, $ , (' , 0 !, 8 !, $ / , # " !) , ," # 5" (' Am $ "" !, ! %++ " & +" : $8 $ #
5"& " 8 !, ! ! $ ? , " !, ' & , & # !) "," & # $ * 8 !, ) ## &' " ! &" ( " , .( ' "" !, # 5" $ * ! &" ( , 6++ " & # !) ", # 5" (' , φ= . $ # , , !, n2H 8 H ∈ [0, 1] # 5"& 0 # 5"& ! " ++ $ Am = m−H * "",+ " !, () , "# " # " " , " ! &" ' (" (' $ " , & # "#6 ! '"
' ( ")" $ % !, 4 !(' ( "$ H 1 ρ(k) 0.5 0 −0.5 0 8 $ + $ * @ 5,0.2 50 100 k 150 200 !, ' & !) "," 8 33 $ / . 1 0 ! " %1 01 .- ' 5 %. ) () * " , - ./ " 0& 1 % %/ % q,c !" # $% &' # !( # )#*+ ,- !. / 0 1 ( - 1 ( q 2 " " % + 1 ( + ))## -# - 3 & !( " # ! $5 * 11 +( c 0 1 φq,c 46 q,c 4 2 " " +#+- +! )#*+ ! ! / p 7 p 6= q 7 p=q + 2 #+11 +-( +#+/ 899 " " "n φq,c (1) = 1 46 φq,c (p) = 1, c, φq,c (n) = ! % % s Y φri (pi ), i=1 . ) 2 #+- *#% 1 #. +# 2 " ! 9-#9 - 3 7 p1 p2 , . ps ! ! n " ( ri pi n 4 * @ , , ( " ' & !)
", '( 8 $ + $ + " ( q,c , !, # ' " $ %. ) ( * 1 % %/ % . : / 0 - ; - / " , - / " 0& ' 5 11 +-( #2 " ,-#% 21 ( # # < 1 " # ## " % 1 ( =3=3 #+9- ,- ! # φq,c 46 7 # !( ! +# 3 >- !( " # )- - ! 51# 99- ( 2### " 3 7 7 4 %. ) (? * . " , - / " 0& / 1 0 ? 5 @ 9-( 2### " % 1 ( ## 9" # ### )- - ! 5% + 99 - " " # $ 4 - ! . #2 A 7 # !( - 2 ! " )- - ! 5 7!( " # - " ! +# 3 7 6 4 B C D E %++ " + " '" "" !, + ' " ", ( $ B *
& '" "" !, # 5"&( F - " !, ! '" , " "" # ∗ ρ (k) := limm∞ ρ(m) (k) "# " $ k = 0 1 2, . 4 " # "' " ," , " ( "# , # '( #" "+" " $ % + +", , %. () * - / / 01 $ %& . : 2 2 " , - 1 / % # ; % ! " % ? 5 @ 9-( 2### " % 1 ( " --( 9- 1 ( #2 " ,-# #! $5 11 +- ( + 7 ρ 46 +# " - % % #+- % ∗ #2 " ρ∗ (k) = limm∞ ρ(m) (k) ! k = 0 1 2, . ρ (k) ,-#% ! +# !( - !( " # " !( - ∗ #! $5 11 +- ( 3 ρ (k) 4 46 %. ( *
- / / 01 $ %& . : 2 2 " , - 1 " , - / " 0& ? 5 #+#+ " - % % @ 9-( 2### " % 1 ( " --( 9- ∗ 7 ρ (k) := limm∞ ρ(m) (k) 7 k=0 1 +#+ ! +#% " - % % #+- / ∗(n) % ∗ 1 ( )- - ! 5 7 2, . ρ ≡ ρ∗ ρ !( " # #! $5 11 +-( 3 n = 1 2 3 . 4 46 * 8 $0$ 8 $8 $ '# +" '" "" !, # 5"&( #(' ! " #$ %& ' (? * . % ; / % - " " , - / " 0& : / 0 - ; - 5 ! ! ! " )" , !, ∗ ρ (k) := limm∞ ρ(m) (k) $ * ' "" " ,+ # 5"&( , , 7 9 ! &" ( ' & !) ", , " $ * , # 5" !,
ρ∗ (k) : $; # 5" " $ * '" "" !, ( , * '" "" !, " ( , $ , ( ") !, ! , ! &" ( " " $ * '" "" !, (m) # "'" $ %"" !) ", ! ( ) ρ (' , , " # " " ρ $ *"+" (m) ! ( " + ", ρ ρ ρ ' " $ % "+ " (m) " (m) !) ", + ! ( " , 6 ρ φ φ φ(m) (n) = φ(mn) . φ(m) = > * = , " , 6 " , .( # 5"& #
' " > $ % + ' , " " : $; $ # 5"& $ %. ? () * . ( " , - / " 0& 1 2 ! " %1 01 - - / 01 $ %& % : 2 2 " " 0 ' ? 5 - !( " # #% " !( ∗ +#% ! ! ! φ (k) := limm∞ φ(m) (k) ! - 4 3 6 4 " '" , , !, ' & = & # = !) ", , 6 ! " $ ' ,ρ > , 6 φ!> " !) ", ! "" $ %. ? ( * . : 0$ 0, 2 ? 5 ρ φ ! )!. !! # 1 - !( " # #! $5% !! # ! $5 * 11 +- ( #3 < 1 " ρ φ ( 4 46 # ## " % 1 ( ∗ -# - 99 - #9- ! +#% " (m) ∗ (m) ρ := limm∞ ρ m∞ φ ! +#7% #99
+ ∗ ))## 1 ( - 1 ( 1 ( +#!" " 1 ! ! ##+φ :=- %lim -# + " ∗ ρ φ ρ ))##% 1 ( ='φ !! # ' 1 ( - ! # ! # ! ,- ! # ##* )14 % !! # ## ! )9+1 6 # ! " ! #5 1 (" 95! 3 7 * = , " , 6 ! '" , & " > # !) ", ! &" ( " (" & φ(mn) = n2H . m∞ φ(m) lim φ(m) (n) = lim m∞ =F > *" ' & !) ", , , # ' & !) ", " " " '++ !) ", ! (' $ / " # 5" (' & # !) ", "" !, " $ *"" " , 6 ! &" ( "
" "& ' H !) ") '," =F , " ! ( () ) "+ H !, # ( "> " ) "+ , $ , H ) "+ () $ ∈ {0}, (0, 0.5), {05}, (05, 1), {1} * + 'H!, " ! # , # H '" "" !, # ( # " " , , ( '(#" $ ? 5 %. ? (? * # #++# + % @ 9-( 2###H "=%0 1 ( " -- ( 9- 1 ( X 4 !( " limk∞ ρ(k) ! ρ(1) < 1 7 A1 ( # -)#+9- - 3 Y (i) = X(i + 1) − X(i) 4 !( " 0 ? 5 %. ? (' * " --( 9-HP∈∞(0, 0.5) + # 2H−2 % #99 H ∈ (0, 0.5) % A1 ( H 4 !( " -1 ! 3 i=−∞ ρ(i) = 0 ρ(k) ∼ ck 7 * (
' "& ( $ " '" ∼ " ",#' $ 1 ? 5 %. ? ( * = 0.5 - !( "H# % " !( P∞ % 1 ( #! $5 11 +-( ) ρ(i) ∈ (0, ∞) 4 46 i=−∞ 1 #*% - " -!! +#+# % # !( -1 ! - 3 7 7 0.5 * 4 , " " ! (" (' !! $ 0.5 1 " !, # ? 5 %. ? ( * H ∈ (0.5, 1) - !( " # % " !( % !( " # -1 ! ρ(k) ∼ ck2H−2 7 ! H ∈ (0.5, 1) 7 H 4 - 3 4 % !, ." $ !! ! ! !, ' #( $ !"++ ( () , ' & "", , P∞ $ * , " i=−∞ γ(i) = ∞ !, + ++ " : $; $
! ( + " ! '" $ ? 5 %. ? ( * =1 0 1 ( - 1H( - !! 7 #5 +#+ % 1 ( +1- ( 5A 4 !( " #3 ,- !. X 4 !( " ## Y 1 - ##! % ! 3 !( " ## - ! 52- +11 ! X = {Y, aY, Y, aY, Y · · ·} ( ! a ∈ [−1, 1] - 2#. % !! # +#+ #*! % 21 ( 79 #2# # $-4 ##3 > 99- #9 Y aY X -)#+9- - 3 1 E * ." $ " !) !, '" "" " !" , , + " ( " '" $ -, " !, # () ++ & & ! $ / . !) # 5"& * #+" # 5"& '" . !) # 5"&( 78 2 9 $ % , "
'," ( " + ( "$ %, , " "# " '" " # 5"& " $ % " ) !, #" "' ", !" '#"'" , , " " "" , " ) ' "" $ % " '," , " & ", ' #+" $ * . !) # 5"&( # # (6 ' $ *"+" " '++ # 5"&( !"++ '( #" , " & ", (' $ , # ' ! # 5"&( !"++ '(#" " ! !" . "
!) !, #" $ ' (? () ( %. % 2 01 %.- " 1 0 / & : 2 2 " * !," # (6 ' ! ) ( " # "# 7; 9 $ *"" # + " , !," # (6 # ", # #+ " ! " ' ," # 5"& )" , !," # (6" ++ '( #" "# $ % ++ '( #" ) , . " !) !, +", "#'" $ ," # 5"& "+" , !," # (6" '( #" "# " '" $ * " # 5"& + " ',"++" ! +" " "# "
+ 7 03 9 # 5"&( $ ! " #$ %& ' (' * / 0 / " / . %, 2 01 %. 1 0 / 1 5 " !," e !) ", ! = " f 03 + " >α "# fe(tx) = xα , t∞ fe(t) lim = α∈R > = , 66 "# " + " $ = ." " "x ∈ (R) 71 9 8 F 2 $ # $ * "",+ " ., e>!) ", !! > α=0 " ) $ * "# 6 !," ' " !) ", f ( () α " α !) ", ( $ ! " #$ %& ' ( * %. 2 01 %. 1 0 / 1 * 55 * " !) ", = "+ " "# 6 ! f >α " ) , e "#
" + " $ % " !) ", e f∈ = f (n) ( () α "f (n) !) ", n ∈Z $ α %. ' () * %. 2 01 %- " 1 0 / & : 2 2 " 0- / " 1 2 - % ? 5 +# . 1 ! ! # ,-2$5 # !( #- + ! # % 21 ( #5% 1 ( 7 7 / -- " #! . -1# " 1 *3 < 1 " # 4## " % 1 ( #! . -1 )#* 7 • f∈ α ⇒ limk∞ f (kn)/f (k) = n % % α ∈ R n ∈ Z+ 0 s(k) ∈ + • f∈ g∼f g∈ α α % -# - #+- 3 • f∈ α ⇒ f (k) ∼ f (k + k0 ) ∀k0 0 1 ( % + ! 1 ( - -# • K(n) ∈ L(t) ! " U (t) α • f∈ α α ⇔ f (k) = s(k)k L(m) := α % m−1 X K(n), ! 99 1 ( - ! #! ,- ! / U (m) := ' (? ( ( α ≥ −1 9' α < −1 K(n). n=m n=0 ' ∞ X + mK(m)
(1 + α), L ∈ DRVα+1 . L(m) + mK(m) −(1 + α), U ∈ DRVα+1 . U (m) / . 1 : 2 2 2 ! " #$ %& % %++ " + " " #+" ! # 5"& " , .( # 5"& ( , ## # 5"& "+" ( . " !) !, $ * : $; $; $ + " " # 5"& " !"++ '(#" $ ! " #$ %& ' ( * )5 *" ", 6 + 6 ' " 0" "& !) ", 2H−2 γ(k) ∼ cγ k " ) !, , + "" $ H ∈ (0.5, 1) 00 cγ ∈ R ' % ( # ++ # 5"& ++ ? 6 + " 78 2 9 $ " 5 8 " " ) !,
' "& !) ", ! " #$ %& ' ( * =1 γ(k) = cγ (k)k2H−2 , . H ∈ (0.5, 1) "" cγ ∈ $ > % # 5"& 0 " " " # , ( ++ # " c "" , , '( #" " , & " !) ", , γ " !) ", ( " $ * ? 5 ; !, ' "& !) ", '' ! " #$ %& ' ( P∞ i=1 γ(i) = ∞ $ " , % # 5"& , # ' ' 6 + " 7 02 9 ! ( , "", , $ %. ' ( * / . 1 : 2 2 2 ! " #$ %& - ? 5 -) 0 # !( 9 !. ) !( - !( " ##% "
!( % H H ∈ (0.5, 1) 4 #+9- - 3 " ++ ) " !, $ 0 # 5"& ( / . 1 : 2 2 : / " / - 00 ; % %. ' (? * : / 0 - ; - / - 2 2 2 1 0 - %- " $ %- : 2 2 " @ 9-( 2### " % 1 ( 0 !( " # #+7 4 ' ( ? (? ( V (m) ∼ cγ (m)m2H−2 . H(2H − 1) 8 # 5"& 0- .- " 0 $ " 2 ? 5 =03 > % ++ , " ++ " ! 6 + " 789 "+" " ) " +", ' " $ % # ", ( , , 6++ " + " ( # . !) + &" "&# # " $ % # . !) "& !) ", (m) ( +
$ V %. ' (' * %" " : / 0 - ; - 2 " %. ? 5 @ 9-( 2### " % 1 ( 0 !( " # 0 + !" # + % 1 ( % 7 7 H -)#+9 --4 3 H ∈ (0.5, 1) % ") ## : $; $ + =F , " + $ % # , & # !) ", " "", > , 6 $ 08 %. ' ( * - 0& % . , - 0 ; - - - " ? 5 ! " 9 - ! # ! 9 - - " #* ! ++% 1 ( . - ! +# 0 !( " 4 #- 2 ! " % " !( -)#+9 -73 -# ! # " 1 ( !( - !(4 " ##% 6 H " !( 0 % - 9 - - " 0 3 1 ( -# #2 - 9- ( 2### " +# # !( 64 ! )-9)*+ 1 +#3 * # &+" + ' ,
"& # !) ", , " ", ( !, ) "+ # " " #" "' ", $ - , # " ) , "",+ " ( '" + ' .( # ", . " !) ( " ( $ ") "&# # , !, "& ( " . & "" =# $ : $; $ $ * "",+ " !, > 0 =1 + " "" > cγ (m) " $ , =03 , " + (' cγ > V (m) ∼ =00 cγ m2H−2 . H(2H − 1) > , ", " "& = (m) ",!) ", . $ m V > , (m) '
" " ' " !) ", + (' ", V , #m 6 , " ('" $ % '( ; $ + $ m 2H − 2 20 19.5 H=0.68 log V (m) 19 18.5 18 17.5 17 0 ; $ + $ * H 1 2 log m 3 4 + & "&# # % # " (' . !) ( "" " " + & $ H * !, " ( + # + ##" "# ! ++ ",++ 6 "" $ "" !" # , ")" m 0; "# " "," , """ #() , " $ % !" &" # "+" " ! '" $ - ! ) , "
" # " ", , " ++ ## + ",' , # (' $ * "",+ " !, 0 '. + !) ", , 2H − 2 # 6 , " , + &) $ H * + & ' 0$ &)() (m) m = 1 2, . , mmax " V$ 8 $ + (' ; $ - )" log V (m) , " + log m mmax << n n !) ", " : $ / " !, " 2 $ / " !, &)() 0 0 =/ !) " > , " # + + H % # 6 # 0 !, " $ * 0 ,+ 0 + &) $ (' , ,"
# # " H '. !, " ,) ! , !, 8 # " 0$ %++ " + " =03 > , " + " !) ", " " "" , , " ", (' c!γ ( + " , " $ , # " m 8 !, # $ (' , , " # ) ! "" , !, 0 ,+" , " "+" " 8 , " $ (' , ( " ! 0 , " * "",+ " # , , " #" )" , =00 , " ( )$ ' , ) "+" " ! "" > , !, 0 ,
" $ , # , " # " "# "" +", , !, 0 '. $ / + ++ + & ( &+" " ", "'" "&# # # ( " ( , & '#(' # ", , " " () !) ) "+ , # 5"& $ " ++ " "# , & " '" ( ." " $ " & '" ( DL (+' F '+ G % I + E % JM- EH ELFE + ')- D ' +'' G ', , ( DL (+' M ' G % 0 *)- (m) , ' OGM ( G ' ')- D ' $ JF # 4J)X (m) V LELMEFE , , 6 m 0:
- " ' - '" (' ( ' , # ", " ' ! (' ", ( $ " " , " " ", " , '" ", "!' ' + • • • • • , "#( ! ( +" / " 4 , + 6 / + ' '# 6 # '# ", %, #"! " *' -!(. "' , + '" -"' ! &", , & % + " , ! + '" 7 09 @$ *+, "# $ & $ ", ! "" # "# " & $ ! !
:: =0 8 < 02 "', 011 $ > 789 $ " $ ! ! ! ! ! $ ? " "# / 4 011: $ 7; 9 4 $/ $ " ? $ $ # "# $ $ @ ?+# %""# 01 F $ 7: 9 @$ $ & "# ' $ $ * $ $ ! $ ?+# ! " , $ " 011 $ 72 9 $ $ ? $ / $* $ # "# / $ $ # # & & " * 22< F : $ - " , @ =- > 01 : $ 7 9 % $ ? "# * $ ! , " # # + & % # "& "# @+ ?' $ -" ! ! , 011 $ 7F 9 -$ ?+$ 0 ! 4
" ? ' 4 & $ ! ! 011: $ 7 9 $ $ " "# $ # "# $ " $ && # " ! & @& $ -" ! ! ! ! $ ? ? @ 011 $ 71 9 $ " , "# " +" &"# #" 01 F 3 $ 7 03 9 $ + "# % $ " $ ', ," ' "& $ : 0=0 003< 00 4 + 01 F ; $ > 02 ! ! ' --$ ! 7 009 $ "# $ ' $ " "# $ " $ " ! 4 ' ! % " & = "# # " $ ! 8 =0 0< 02 > > +', 011: $ 7
0 89 % $ "# '# $ ' " "# " $ " $ " ! "' ! % " & $ ! 8 ; 0 ;< 01; 011; $ 7 0; 9 @$ ( $ ! ' :1 ! ! ! $ " 4 01 0$ 7 0: 9 " @ " "# % $ ? $ " " @& "# ! 4 & $ & "& " " " , 011 $ 1 3 0 $ 7 02 9 70 9 " " &"& ? ' $ #" , "# $ $ ' $ !! "# / 011: $ $ $ "$ ! @++, +'" $ 8 0 :< 3 01
F $ !! ! $ ? " ! ! 70F9 $ $ ' $ , "# $ " $ % ! "" # "# "& " & '#,$ ! ; =: F 2< F 1 0112 $ " # " > ! ! ? $ $ $ % / @ " "# $ $ # $ # & "5& @'+" ? $ " 011 $ 7@ 09 *"# $ "! & "# ' & " = -"! " , *' & $ ! ! > +', 011 $ 7@ 89 * $ 4 $ " "# $ & $ , + 8 : 8 33 8 $ & ! , $ -" ! !
! ! "# 7@; 9 * $ $ & -$ & $ " "# -$ ' $ 4 ' ! & &"# # ! , $ ! ;2 =8 '" 8 33; $ > 7@: 9 * $ $ & -$ ' -$ & "# $ " $ 4 ? ! &"# # ! @& $ ! ! 8 3 =; ; 0<; 1 + 8 33: $ > 7@2 9 $ " "# * $ $ " &" "# ' '&' ! & $ -" ! ! ! ! 4 "" * & 8 333 $ 0