Algorithmique et télécommunications : Coloration et multiflot approchés et applications aux réseaux d infrastructure
|
|
- Εἰλείθυια Μακρή
- 6 χρόνια πριν
- Προβολές:
Transcript
1 Algorithmique et télécommunications : Coloration et multiflot approchés et applications aux réseaux d infrastructure Hervé Rivano To cite this version: Hervé Rivano. Algorithmique et télécommunications : Coloration et multiflot approchés et applications aux réseaux d infrastructure. Réseaux et télécommunications [cs.ni]. Université Nice Sophia Antipolis, Français. <tel > HAL Id: tel Submitted on 5 Sep 2007 HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
2 ! "#$ $ % & '()*+ ), -. / :; 01 <6=1 >?@A6B C5:6@?269 D$$D E FGHIJK LMFNOP DQ#D Q!#! )+RS T.UV / W X YZ[\]^_ ` ]abc c^ ^dyde[ ` ` b f ]eg^][fh i -&j&+k(l&, )( m *j(ln&( koo+& 'psq )( koojl'k(l&,q k*r +Sq)k*r s tl,u+kq(+*'(*+) vwq $$xd Cy?59? z{ {} C ~;8 1 C ƒ}{!#!!"$! # 5?71 ˆ81 Š # Œ! QD E Ž $#!Q šqq! œ œ šqq! $!Q C žÿ Ÿ $! vv ~ Ÿ vv! #!Q ž $! vv ~ šqq! Ÿ ª šqq!
3
4
5
6 ! " # $ #% & #' ( "#! # ) "* #! & + ", -. # / 0!! 0# # & 1!, + " 1! 2 # / 0! $.! "# # & 1! 2 0 # # $. &, :!* & ;! <#! + =! > $ # # # 0 "? ) # ## &,! /@A #% " * # & = : *, ;! 1! * +! B0 C#0 # " "# % " # 0 0 0! & = # DEFGF6: ) /H< + I #' % C# " "#!! 0 $ # & <0, 0 # " # > & 1 $ &
7 " # % 0 $ ## # 0 & # #. # # 0 #0.! # & +. + % 1 1 0%. #"# & 1 % C # 2H-??? )! #% &,% 3## 3 #' C,#,!.??? C % & = 1 C ( * C# 3. *!. 3??? 0 % 1 & < %! $ ##.# )## /!! <#* 0 7F :? = 0 ## 0% #? 0
8 g Yc ch ` g^] \ch? + " #???????????????????????????????????????????????????????? C#????????????????????????????????? <#??????????????????????????????????? "! #??????????????????????? + " #?????????????????? "! %???????????????????????????????????????????????????????????????????????????, "!!??????????????????????, "!??????????????????????????? = 0 0?????????,!??????????????????????????????????????????????????????????? + " #!"## $ % &.?????????? + " # % $ ' # ( &?????????? % #???????? )0 0??????????????? %????? ) 0
9 ? )!" #% DE?????????????????????????? %"??????????????????? = DE????????????????????? 1%" " #????????? = #%?????????????????????????????? = # #???????????????????????? "!!?????????????? = #%?????????????????????????????? "????????????? < ## 0????????? )? "???????????????????????? =!."!???????????????????????? ; %#?????????????????????????? < #%?????????????????? )?? 1?????????????????????? 1 "???????????????? # #0???????????? = "???????????????????????????????? 1*???????????????????????????, "##?????????????????????????? /" 0 0?????????????? <# %??????????????????????????? )? "!.?????????????????????????? )?? + 0 %?????????????????????????? )?? )????????????????? )?????????????????????????????? )?? /#????????????????? 0
10 ?? % " #?????????????? ; &????????????????????????, ##????????????????????, ## 3 #??????????? <!#????????????????? % #???????????? #!?????????????????????? # #??????????? /#???????????????? %????????? )?? + "!!"#??????????????????????? + "!!"# ɛ?? =!.?????????????????? C# "??????????? 0
11 0
12 g Yc ch Z b \ch 3 * 1??????????? 1!# ## #? ; 0 #. " )## #????? % " # R 2???????????????????? = % #??????? = "!!??????????????? 1 %" " DE??????????????????? < # # DE?????????????????????? B" DE???????????????????????? %"????????????????????????? C!# 0?????? " #!."! *??????????????????????????????????????!."! #!#?????????????? H N? = # # 7869?????????????????????????? = # * #????????????????????????????? B # 7869??????????????????????? ) # # #?????? /> * # #??????? w = 3? = "! % >????????? w = 3 %
13 ?),! * F C # 0 " 0???????????????????????? /" 0 0? ##?????????????????????????????? )?, "?????????? *# "##?????????????????????? )? *# #????????????????????? = #????????????????????????????????,0????????????????????????????? Γ(α, β) 0 γ 2 (αβ + αγ + βγ)? l?????????????????????? 0????????????????????????? I 1? 0???????????????????????? I 2? /# # * #??????????????????? )? )? "! :??????????????????? % %!#??????????????????????? ) ɛ = :9 #???????????????????????????????? k = ? / ) I? )?????????????????? ɛ = 0.05 %
14 f^\[ b e^][f = #% ## $ #" # # 0"?, * #. #% # 0 " #? = "* %" # #% " # # "? = # $ "## % # #! "! 0#? = 0% ##! # %! "! # % # * #"" # "! * #% ##? #0 *! "# # % #!* "! % #? #0 "! % # #*! % #?, # " #% #.!" % " " DE " #% DE 0 0 "?
15 = #0 ## "0 " % # "!" * 0 & "# #! $! > $" # " & ##! #. #0# 0 #% 6E ##. 0 #0 # ## " * #. 0" 0 #% # 0!" E96 F F & #% #! # # 0# # #% *% %? MO/s Etats Unis et Canada MO/s Europe 1 655MO/s Asie MO/s MO/s 821 MO/s Afrique Amérique Latine F & (!! ( ( % " ( ( ( # $ "! = # ## #? = *. #0# 0 # 0 $ "# # # # #" # #% %! # & # " # * * # 0 #!" % <0? <!# # " #?
16 F & % '! "## ( " (! ( " ( %" (( # %! %" < % # 0" " #% " #? = " % # # #% " )## " 1 # 9 HD )?,. #% #!! 0 #0 "! #!# % #% ##? F & " " ( % %!!! #! "! " (! ( % ( "#! "(! % ( "%
17 = #%!" % " " DE ( '! " ( ( > * # % #% *% *% 0 #* #0? + 0 # 0 # #. #* % " #? " # " ## #?,. # "! 0 " " #!. #? = > * "! 0#.? 1 "#. 0 " * "? < %#! #! "!? + > #!! %# # "!? # # $ # 0% 0 " #!? + # "! ## #! #% # "! #% # " # "# #% ## *? # " #! "##? % # #% *! " # $%% &'(
18 #! 0 #% '"?! ##! "% " (( ( # (! #% 59E 6D?!! % % #?!!!# *? C!# " "! # "! % " % # * %? "#" * 0! 0? = # " # # % %? = "#" # 0 '# 0 "! "! % " % #? < % 0! "! 0* # % # % " (! ( %! # %? #!" # "! #%? < #%!. * # % ## % # 0? = "#" # $ # ' # ( " '?, > " (! # $%%'( &'(
19 " ( %! "(!#!" DE 0 # " %!? = "!! > "! # #!."! # *! # #% '"? =! "! * " #%? %! # % # " " % " ( % " (( % ' # (! #0 "! " "#"? =!!! *! % % $? #! "! >? < " ' #" "! % " %! 0? = % "#" #0 0 % # %! %! ##?, "! % % * > "! "? # %" " % # "? = % "# $ # ( " (!? = > %? = #* "#" " > >
20 # $ (! # "! %*? <! >! #"#? < # % '! " %! #! $ %%"( $ " %? =! "! #0 # # #% "! %? *! #. #? = 0 %" % ## " ( ( % %" % #$ # " ( ( % ( ("# %! ( %! # 0%? = # #% ## 0 N P $! 0!! #!!#? = ## " #!! "% '#! %" $ # " ( #0 %? # "!! #? "!! #0 # # " % %!!? = # *!"## $ % % $ ' # ( ##!! %? = # # "! #%? # #% % " " 0 "??? *?! # "! #% 0# *! "!!"?
21 = # 0 #% # 0 %" "? 0 " (! %" %! #? # * ' % % '! " " # # %" " 0 0 "?, 0% $ /0, /0 + # /! /0 C + # /! /0 C? < #! % # # 0 #0# "! & " " % " ( % " (( % ' # (!? "! "# #.? # # % "! " # % # 7!" 5!? # "! % "# #?, 0% $," -I + # /0! ## *.# " " % " ( " ( % ( "!," -I + # + /0? = 0 # 6F % * " #%? # # "! % # /* "!0 ))? "! # # #!% # % # & # " % " (( %? = % %# "!? + *
22 # # "! %!!.? # "! % #% "?, 0% $, / 0 3I, = + / 0?,! ## # $ $ 7 6GF F5 G : )## / <? 0% ## 0 " #" &,",! -I # /! C 1?!" # $ % ( & ' ( "! ( ) $!" $ #( ' # $! ( * + ', # # $! ( )
23
24 _ g ]^\c b cya b ch f [^][ f h b^]ych gyz[\]^_ ` ]abc = #! 0 "! &! # %!# "##!#? + % % 0 R " # "( " ( " (! #!!" " (! %!!? #0 # ## * # > ## & #% # $0! ## #?,! # "! ##? " "! % 0 " # " #? %! # 0%? C # "!!# "! "! # ##!#! %# "! "##%.?!? + %# 0 0" ( %" " ( " $ "% '#!,? )) % '! 3" ) " ( % # ' #! (!? ))?
25 =! "% " # # 0 "! # %? + % 0" 0 # % #! & ( % %" % # (,!0 ) " " * # & " %! ( "# ( " % # " ( C!$0 * " 0% " # & ( %" " ( " ( % # " ( 3 )I )) #! " # & "# ( %" # " (? ))) % & ( "# "% '#! 1 /"!0 )) %!*! # "! %?,! "# 0? =?? % # ## %" % ## " ( ( % %" % ## " ( $ ( % ( ("# %! ( %! ## ## # 0% #>!#? 0 # " #!* N P * 0 #0! "! %? =? $!% 0 "! % #??? # " " # % * %! "! 0!?
26 = %" % ## " ( ( % # $0 # c #.# C Rn?. * #!. # # 0 0 0?,!# %" % ## " ( " ( #!# " # % $ %" % ## " ( ( % ( ("# %! ( %! F # 0? ) "### % * % &!!# # # $0? LP max{c T x x C}, c R n, C < > R n #0 0!#!!. # 0% max{c T x x C} = min{u {x C, c T x u} 0? < 0 "! % } #0 #.! 0 u #.? < % " R 2 % ##.# " 0 % # # # "?? 1 % 3x + 4y : x 1 3x + 4y 12 2x 7y 0 6x + 7y 42 F?& # %" % ## ( % (! R 2
27 < % 0%."? ; # " ' "##? ) 0. ## # * 0 "!? < " # % "(! % #!"##!?,.* # # " # "?. " "? z?8 2B:6?5 B:86=61221 " # #? " # 0 n m # & LP max{c T x Ax b, x R n }, A R m n, b R n 0 0 "! " x n A n #!. # m " 0 b m!.? C % "? # max 3 4 T ( ) x y ( ) x y # "#!# * "##% 0 " # # # 0 # #"# #"# 0 0?
28 # % 0%! % " #!. # > " % " # #? % % $ ' # ( #??? =. > # "% #.? ; # 0% #.! %" #! % " ( 0!. # ** * # #!. 0%? 0!!. # 0#? = # 0%? ## 0% #!. # % $? " C ( (! # " ( %# z / C! ( ' % (! % ( z C = 0!# # C C!$0? = # " # #!# (!? ) # *?,!# %# #? = 0 "! ## # #. # 0% 0? " K (!! (! #! " (!! ( "$ % '# " ("# " % %!" % %" #! % " (! % K!! # (!! ( "% '# " ("# " % %!" % %" # " #! " (! % K
29 < "## # % 0% ( (! % % #.!#?, #0 " # 0. 0# #? % 0% #!?! * #! 0.!. # # #!#!. "! %? =!# ##!.? < # 0 0 $ # 0? C % " # " # #* % % #!? = # " % " % %?,!#. # 0. 0# " #.?, # # # #* %?, # 0. #? Š = # " #? C " # max{c T x Ax b, x R n } A Rm n 0 # 0 & 0 0? )0 # 0? + " # min{b T y A T y c, y R + m }? = " # % # 0 #?
30 C # $! "!! # * # % 0 yi 0 x 0 #"# 0? y b T y = y T b y T (Ax) = ( y T A ) x = ( A T y ) T x c T x. =!# 0 # #"# 0 $ 0 0 #"# % " #? %" % ## ( % % # (!" " ( " # x "%! (!" " ( " # y! "( " (! " " ( ( c T x = b T y B 0 0!#?,!0 ) # "% '#! # #? C!$0 I ) # % 0. # # Ax = b? = #>!#? < 0 "! #" % # 0 " #0 " " #?, "! % #??!? < " # # #0 "!? + " # 0 #0 % #? < 0 %#!# #0?, # % 0 %!? < n 0 m m 0 n 0 0"%
31 0 #? + # #!# # %# % #!? = " # # 0. # #? #! # " #! "! 0 (? 0 # #! # " * # %. #"#? ) #! % "# # % ". 0# %? = #! # #? = "!! # # ) # 0 < " ) % %# %. ** # 0% # #.? % %! " %# % ## $ $0? 0 #! % # "# %# % &. n # 0? n " 0 % 0 0 %?, "! # 0 % #"### 0 #,!0 ).. 3 )I )) % 0 # #! # # * O(mn)
32 " n 0 m?, - 1. ) # % " # % # % # 0 " 0?, # 0. R n # # m 0 ( n+m %# %? = "! % 0" %> * # # 0 " 0 0! % " 0! %#? ) $# "! % %# % # & n ) # % ( " " n %! m " ( % (!!! m n + 1 < #! # " # ## #0# "!. %? = #!!" ## # C! ) 0I )?, #! 0% # # "##!!! 0 n? 1 0 # % "### " 0% #! #? -!! )) # "! # " # 0 O(n 6 log n)? (! =0 C!$0 )) # > # # # # * "!?, % 0!# 0 % "!. # " #? < 0 #! 0 % % 0? )
33 = #! "( ( % % # %? = % %# %# #! # "# 0 #*.? #! ## - I )? + ( " )) # # 0 O(n 3 L) # L "# ( % " # # #? < % "! #" # 0! 0 +!. % 0 0? =!.! #0 %? < # #!? " "## "! # " # % " "? # #! # # $ $ #!! #??, #!? " $? = " #!!!!!#? % "! # " # % " % Q?, "! "## #
34 0 # " # Q Q % # 0.? < Q #. " %0# R " #?, $ # # #? 3 # #% ## * 0 # # #? + % " # #? C *$! > 0 0 Q + #" %?, % 0 " # #? + " " # $ 0 >? < #"#!# # ## 0 # # # # # 0 # %" % ##! ( %! ( ("# %! ( %! 0 %>? & " % " (! %!" % %" % ## ( %! (!! " ( % (! ( % %%"( %!" " ( " ( "( "" % " ((! ( %!! %" ' = # & " 0 "?? = " # #"# % " ( ( %?! 0 #!! 0 * " # N P * "## *% % 0
35 F!" " # $!%&" " '(& ( (!") (* &+,( (!") # +&&)' * #!(*&(* $!'-(!" &' ( '& *&'' #, $!)'." /&!'!&*!( # %&$0 *,( 1 " $' 2, (!, +!( $& '&,* / *, ( $!%&" " '(& ( (!") (*!(* *!,* 3! (* &(* #&( *&( & 4 ' &+ 2, '& '&1&*!( '(& #!(( # 5 6 2, $ " ** (* #!(*, # )!(( #!',*!( (*. 7 &( *!, ' & 8 '!$*" &' # '& '&1&*!( '(& #,( $!)'." # " &1" &*!( #!((,( )!(,$, 9 '!$*" &' (* $,2, 2,,(!',*!(!$*" &' (*. * 8 ( $&*,' 8,(!',*!( +&'# # '& '&1&*!( '(& 7 " :" 8 '!$*" &' 3&*!((& #,( $!; )'." # " (" &*!( *,( )!( (3, 9 '!$*" &' (* < (!(2, ( # ** " &2, * # '& (!(;&$$!1" &)'* # '& $!%&" " &*!( '(& ( (!") (* * 2, '&* (* '!$*" &' 3&*!((& * '!$*" &' (* ( * $& )!( ( %(&' =!, ( +!(,( '',*&*!( &+,( 3!",'&*!( '" (*& #, $!)'." #!'!&*!( #!" " * #,( %&$0 #&( '& *!( >
36 *!( < ( )!(( #(*!( # ' &* '& $!( 9 '& 2, ;! "#$ %&'! #'" %)! # %! * N P ( N P ( + ** 2, *!( ( * $& &(!#( $,2,,( * '' '&&*!( %( 2, '!( (!((&,* $& # &'%!*0"!'+&(* $!)'." ( * " $ $!'-(!" &' -!,+ (* " :" 8 ' ( 1* $& # &,*!',*!( 2, '& " *0! #. 5 6 / 0 * *,( (!") 1$!( (* ' # &(##&* $!, *!,+ '!$*" &'!, " :",(!',*!( +&'# + '& %( 2, 8 #. 2, ' (* #, $!)'." %! (* 8 " :" *. 3&)' " (* ( $!$!*!( 8 ' # + (* *. +* " $!)' 8 9 '0 '' 0," &( 8 # *!,+,(!',*!( 4 ' ( * $', 2, *!( &'! # 0 ''!$ &*!(( '' 4 ' 3&,* #!( 3&!( #,' # '!)* (*!( #!',*!( 1 &* * * (* #!)* ( #. / 0!',*!(8 ' " '', $!)' 8 " & #&(,( * " $ &!((&)' < ( " &(.!,&(* # &)!# *!)1 *3 * ' #+ '!$$ " (* # 0,*2, / * ". 0,*2, 0 #%( 8 $& &), # '&(%&% 8 ' * 0(2, * &'%!*0"!(*,; &(* #!',*!( 9,( $!)'." &( ( %&&(* ( '!$*" &'* (,( ", # '& #*&( 9 '!$*" &' /& $',$&* # &+&( (* #&( #!" &(!( ( (* ',*; '&*!( # $&&#%" %(&,1 $($&' " (* )&, '!( $* # 0 0 '!&' + &$$!0!(*!,+ (* &$$ '. 0 2 ' $',!((, # (* ''!(* ',* ",' 8 '& 0 0 *&)!, * ' &'%!*0" %(*2, / $ 3!" &( # " *&0,*2,!(* " &'0,, " (*!,+ (* #$ (#&(* #,( $&; &" *&% *. ()' 9 0&2, (*&( 8 &'% '& * '&) ( *!*&' # %&&(* # $ 3!" &( 8 * 0(2,!(* '&% " (*,*' 8 $&*,'. " (* '!2, ' &%* # *&* # $!)'." # *. %&(# *&'' * #9,'* 3:'!&( 55 7 / &'%!*0" # &$$!1" &*!(!(*,1 #!(* '& #*&( 9 '!$*" &' * ' * " $ # &','!(* )!( ;<= <; A B C D /& (!*!( #. /!',*!(0 *&(* ",1 #( 8 9 &+! 2, ', #*&( 9 '!$*" &' * )!( 8 ' * 9 $ ' * " #.* " $ &!((&)' 0 E ',,!' 6
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n 12 ) *& $! n * ' (!") # )* ( & &,! #&% # ' (* 9 * * / " '', &'%!*0"!((, $# " " (*!'+&* ' $!)'." ( O(n loglog n ) 8 2, * ) (,$ $!'-(!" &' + '& #* 8 ' $', %&(# (!") $ " 2, '!(!(#. &*, '' " (* + (* &+ 2, '2, # &( # 0 8 2, +,* #,( (log log n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
38 9,( *&( "!" (* ( ' * & $& '!(%* " $ 9 ", 2, ' *&'' # $!)'." # + (( (* $', " $!*&(* + $0(!".( '',* $&3&* " (* #&( *&( 1$ ; " (*&*!( " ( #&( ' 0&$*,+&(*! '!( +!* 2,, # *. $ ** &,(!',*!( 1&* &',' $', +* 2,,(!',*!( &$$!0 7,( &,*!* 8 '& *&'' # $!)'." (+&% * " $!*&(* *!,* &$# " (* /&!" $' 1* # &'; %!*0" &$$! 0 * #!(,( 2, *!( $"!#&' $!, 2, '! (* &$&)' # *&* # (*&( '' * (!, (!,!!( *&(* 2, $!)' # '" * '' ; =!* &$$! 0 &'%!*0" 2,!(* #!( 8 ( %(&'8 9 &" '! '!" $!" (* * " $ # &',' * 2,&'* # &$$!1" &*!( $!, ' $!)'." #!$*" &*!(!" ; )(&*! 2, (!, (!(*!( ;<= < A 4 ' 1* $',, *-$ # &'%!*0" # &$$!1" &*!( *&(* #!(( '!)1 * # (! *&+&,1 8 (!, (!, '" *!( &, & # &'%!*0" 2, &$$!1" (*,( $!)'." #!$; *" &*!( ( $!#,&(*,(!',*!( +&'# #!(* '& +&',!)1 *+ ( '!%( $& *!$ # '!$*"," / P 5 6 ρ : N R ρ ;&$$!1" &*!( # P A 1 I P, ρ( I ) A(I) OPT(I) ρ( I ) 6 OPT(I) 6 I / P ρ 3&*, # &$$!1" &*!( A 4 ' * +# (* 2, 8 $!,,( $!)'." #!(( 8,(,' # #,1 (%&'* # '& 3!; ",' $# (* ( & # (8,+&(* 2, ' &% #,( $!)'." # " &1" &*!(!, # " (" &*!( / 3&* # (!* # '& " :" " &(.,( &'%!*0" 2, ( #!(( 1 &" & "!( # '& "!* # '!$*" &' *,( &,* 2, ( #!(( 1 &" & $', # #,1 3! '!$*" &' $,* $&&,*,$ (&(* 8 " & &,( ( 9 *!,* $!)'." # " (" &*!(! $!(#,( $!)'." # " &1" &*!( &! * $!2, " (* -,+&(* ** #(*!( 8 ' & +# " " (* ' $', 3&+!&)' *,( 3&*, # &$$!1; " &*!( #, % ( 1 + o(1) 8 * 9 # 2, * (# ", 2, '& *&'' # '(*&(
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w!) % " #!!$ % #%# %! (!#'')! ' #! # %!!#)!#'' )! G w )! )! # %! )! *,* " (* #* 8 '&!'!&*!(!(* 9 *!,+,( & *&*!( # '" (* #,( (; ")' #!(( 3'!,',7 &,1!" " * * '' 2, #,1!" " *  & (* ( +! (* $& & * #, " :" '" (* / (!") " ("," #!,', ( & 9,(!'!; &*!( #,( %&$0 G * &$$ ' ' / 6 # * (!* / G χ(g) $!)'." #!'!&*!( # %&$0 *!((, $!, :* ;#9 N P ' * $&" ' $', #9 ' 9 &$$!1" ( * 8 $!, *!,* ɛ > 0 8 ' * N P ;#9 ' # ## ' (!") 0!; " &*2, #,( %&$0 9 n!" " * * (3, 9,(!(*&(* 2, α '!(2,!, ' *,$, 9 αn 1 ɛ 3!0)&," 2 ''& *!'' 7 / $!)'." #!$*" &*!(!(* 9 " (" '& *&'' # ' ( ")' #!,',,!, * &(%' 8 $!)'." $,*!" " ' $!%&" " '(& ( (!")
40 (* w i=1 y i / 6 w x i,v = 1 v i=1 x i,u + x i,v 1 i [1...w], (u, v) 6 x i,v y i i [1...w], v x i,v {0, 1} i [1...w], v < ( * '' *, #, $!)'." ( * " &'0,, " (* $& 9 & $!, '!)* (*!( # )!((!',*!( 8 $($&' " (* $& 2, ' +&&)'!(* # *. )& (+ &, * ( $ (( (* $& (!" $* '& *,*, # '& *&*!( ( * 8 '& (&*, " :" #, $!)'." 8 ' 3&* 2, #,1!" " *  & (* & (* #!,', # (* 8 *!(* (, #&( '&''&( #!(*&(* xi,u + x i,v 1 * # +&', )(& # +&&)' ( $ #&(* '& )(&* # +&&)' 8 '& '&1 &*!( '(& #, $!%&" " ( &$$0 (# $', ' $!)'." * '& *&*!( u, x0,u = x 1,u = 1, i 2 x 2 i,u = 0 & *!,1!,,(!',*!( *+&' #!(* '& +&',!)1 *+ * i y i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
41 # ( ")'!,+&(* *,( $&* # '&!'' *!( * '' 2, 0&2,!" " * &$$&* (( 9 &, "!(,( # ( ")' 0! 7 &( '&,* (!, 1$'2,!( 2, ' $!)'." #!'!&*!( + (* 9 *!,+,(!,+ *, #! * " ("," #!" " * $& ' *&)' #, %&$0 < ( ( ")' #!" " * #,( %&$0 2, $!,& (* :*!'! # '& " :"!,', * 8 $& #(*!( 8,( ( ")' 2, (!(* (* &,,( $& #!" " *  & (* + * 1&* " (* '& #(*!( #,( *&)' #, %&$0 - '!( #!((,(!'!&*!( +&'# #!" " * #,( %&$0 8!( &$$ '' 6,( ( ")' #!" " *!'! # (*2, " (* + 0 &2,!,', * #!(,( *&)' * 0&2,!" " * * #&(,( *,(,' #!,', ( 8,(!'!&*!( +&'# #!" " * *,( ( ")' # *&)' * ' 2, *!,*!" " * &$$&* (( 9,( *,(,' # *&)' # ( 3!" (*,( $&**!( #!" " *,* " (* #* 8 *!,+,(!'!&*!(!$*" &' #!" " * #,( %&$0 * 2,+&' (* 9 *!,+,( $&**!( #! * " (" &' #!" " * $& # *&)' #! *,(*& < ( $&**!( * (! *!$!(*&%(&(* 9 &',' 8 " &!( $,* &'' $', '!( (,*'&(*,( $!$* # *&)'* $&,$$!( # *&)' 8 #!(* ' * (* ', (!" '!( *,(!" " * #,( *&)' 8!(!)* (* (!,( *&)' (8,(!,+ *, #!" " * $& # *&)' 2, ( * $&,( $&**!( 3 * 9 # 2, &, "!(,(!" " * &$$&* (* 9 $', #,( ( ")' 0!7 (#,*,( $&**!( #! * (3,!, %&' 9 ', # '&!,+ *, 4 ',9 * ( * # *,(!" " * 2, &*,;!,+ * # *!, ' ( ")' &,2, ' ' &$$&* (* &,3,( 8 0! &)*& " (* (!(2, ( 8 ' $!)'." #!'!&*!( #!" " * #,( %&$0 * 2,+&' (* 9 *!,+,(!,+ *, #! * " (" &' #!" " * $& # *&)' #! *,(*& *&(* #!((,( %&$0 G = (V, E) * I ' ( ")' # *&)' # G 8 **!,+ *, *!" " ' $!%&" " '(& ( (!") (*
42 x(i) / 6 I I I I:v I x(i) 1 v x(i) {0, 1} I I /& $($&' #9,'* $!, '&!',*!( # $!%&" " '(& * #, &, 3&* 2, ' (!") # +&&)' * %(&' " (* 1$!( (* ' $,2, ' - ( &,( $& *&)' 3 * ' 1*,( *&)' # I *&'' s 8 &'! ' - & &, "!( 2 s '" (* #&( I 8,( $&!,; ( ")' # 7 + I '& #* 8 (!, +!( #&( '&,* 2, '& '&1&*!( '(& #, $!%&" " '(& $ " * $&3! #!(*, # )!((!',*!( (*. / $!)'."!")(&*!! $!(#&(* 8 #( $!, '& $ ". 3! $& *0 '8 /!+ 8 * * &$$ ' #!" " * #, %&$0 * *!" " ' $!%&" " '(& 6 /! * #,(!',*!(!$*" &' &$$ '' ' / (!* χf (G) #&( '&,* x(i) I I I I:v I x(i) 1 v 0 x(i) 1 I I 4 ' &%* #!( # &',',( $!(#&*!( 3&*!((& #! * " (" &' # *&)'!) &(* &,1!(*&(* #!,+ *, - x *,( $!(#&*!( +&'# # *&)' # G 8 (!, '&$$ '!(,( # G!',*!( * (!*!( x(g) '! * #,( * '' ( %(&' ' (!") 0!" &*2, 3&*!((& * &, #9 ' 9 &$$!1" 2, ' (!") 0!" &*2, (* ' *0!." # /!+ 3 7, '!,+ *, 3&*!(; (& "!(* 2, *!,* ρ ;&$$!1" &*!( #, (!") 0!" &*2, 3&*!((& $ " *
43 #!)* (,( ;&$$!1" &*!( #, (!") 0!" &*2, (* ρ. log(n) ',; ( * $& &$$!1" &)' 9 "!( # n 1 ɛ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y(v) v V y(v) 1 I I v I y(v) 0 v 7 &( $!)'." #,&'8,(!(*&(* (!( *+&' * +!' *,' " (* ' 1*,( *&)' #!(* I ' $!# * $', %&(# 2, - 1 ' ( 1*,( 8 &'! * ' & #, *&)' # $!# " &1"," 8 (!* E 8 $,2,!( $!# * &, "!( &, %&(# 2, ', # I 7 " :" 8 ' $!# #, E * (3, &'! ' $!# # *!, ' &,* *&)' ' * &, * &,,(!(*&(* ( * +!' / &',' #, *&)' # $!# " &1"," * #!(,(!&' # $&&*!( $!, ' $!%&" " '(& > E&!(2, (* 8 ( &$$'2,&(* ' *0!." # $&&*!( ' + (* 2, ' $!%&" " '(& > * 2,+&' (* &, ( # '& #,*!( $!'-(!" &' &, &',' #, *&)' # $!# " &1"," 7 $', 8 $& ' *0!." 6 # #,&'* 8 ' &',' #, (!") 0!" &*2, 3&*!((& * ' &',' # '!$*"," #, 65
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s 8 2 s 1!(*&(* $,+ (* :* '" ( / (*,*!( 2, + (* &'! * 2, ' (!") #!(*&(* #, $!%&" " '(& $!,&* ( $& $! # $!)'." $!, *&( '& # %&$0 ( + (&(* &, $" &'8 '& "!(* 2, '!( $,* &',',(!'!&*!( 3&*!((& ( ( " &($,'&(* 2, # *&)' " &1" &,1 $!, '(',!( &( " $ :0 # &** (# '!$*"," + ** " &2, %,# *&( 0!1 $!, '&'%!*0" #!'!&*!( 3&*!((& # 0 " ( 2, (!, $ (*!( &, 0&$* > + * &'%!*0" * (!*&" " (* 3!(#, '2,+&' ( (* ' $!)'." #!'!&*!( # %&$0 * # 0 " ( 2, (!, $ (*!( #&( 2,,* ;< <= A *&(* #!((,( %&$0 8 ' $!)'." 3!(#&" (*&' #!'!&*!( #!" " * * # &3; 3 * #!,', &,1!" " * #!* 2, #,1!" " *  & (* ( & (* $& '& " :"!,', * (,*'&(*,( (!") " ("," #!,', # (* 7 &( ' & %; (&' * #&(,( %&(# (!") # & $&*,' 8 $!)'." * N P ;#9 ' * " :" (!(;&$$!1" &)' 3!0)&," 7 / $!)'." #!'!&*!( # 0 " ( 8 ',8!(* ( '&!'!&*!( #,( ( ")' P # 0 " ( #&(,( %&$0 G 8 #!* 2, #,1 0 " ( $&*&% &(*,( & # G ( & (* 6
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n!" " * * ' %&$0 #!( * #,( ( ")' # n 0 " ( #&( '& %'' n n + ** 2,+&' ( * 1*:" " (* " $!*&(* & *!, ','*&* #!" $' 1*, '&!'!&*!( # %&$0 " $!* (* # * " (* $!, '&!'!&*!( # 0 " ( 8 $!, $, 2, '!(!* &$&)' # &&* $" (* '& '&*!( (*,( '& # %&$0 *,( '& # ( ")' # 0 " ( E& 1 " $' 8 '&!'!&*!( # 0 " ( & * $!,+ 6
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c(e), & 8 ' &!(* ',$$!* #,!* 8 '!" " *!(* # $!(* (* " #&!, ) ( #!,!, # *(&*!( #,!* < ( f # s 9 t *,( $!(#&*!( # & # G $ *&(* #!(*&(* # 6 8 * 9 # 2, '&!" " #,!* (*&(* (,(!" " * * %&' 9 ''!*&(* 3:!# * :,'!( 7 E& &(&'!% &+ ' *0! $0-2, # ' *!(*2, * # " &(2, #,# 8!(*&(* &$$ '' (* &, 6 / #,!* * '& 2,&(** #!* (1 * 9 '&!, s 8 2,8 #, 3&* # '&!( +&*!( #,!* 8 * %&' 9 '' 1*&* 9 '& # *(&*!( t < ( ",'*!*!(* 9 3&!0&)* $',,!*, ' &, #!* 2, '&!" " #!* $&&(*,,( &!* (3, 9 & &$&* ;< <; A A B A ( #!((,( ",'*; ( ")' # 6 C = {(si, t i ), s i, t i V, i = 1,...,k} < ( # C *,(,(!( #!* $!, 0&2,!" "!#* $ *&(* ' &$&; * # G 4 ' &%* #!( #,( ( ")' # $!(#&*!( # E 8 $ *&(* 0&,( '!(*&(* #!( +&*!( #!* * #!* 2, e G, i f i(e) c(e).! "#$! %&' ()*+ '&,,-&,./'-& *+0 66
47 7 &(!(* 1* 8 ' $!)'." #, " &1" '&!" " # (* (* # 0&2,!" "!#* 2, ' * $!)' #!,* #&( ( G $ *&(* ' &$&* + $!)'." *!" " ' $!%&" " '(& f i (e) e Γ + (u) e Γ + (s i ) f i (e) f i (e) i d i f i (e) c(e) e 6 i e Γ (u) e Γ (s i ) e Γ + (t i ) e Γ (t i ) f i (e) = 0 i, u s i, t i f i (e) = d i i f i (e) = d i i f i (e) 0 i, e /& 3!",'&*!( ( $!%&" " '(& #, ",'*!* ;#, * #* 6 8 ( &$$!* &,1 +&&)' *!(*&(* #, $!%&" " + ** *, #, $!)'.",*',( (!") $!'-(!" &' # +&&)' * #!(*&(* 8 2, $ " * # $!,+ 2, ' $!)'." ( (!") ' * $!'-(!" &' * # ' *&* $& ' &'%!*0" '&2, # $!%&" " &*!( '(& + ** 3!",'&*!(,*' (!*&" " (*,( +&&)' $& & * $&!" "!#* 2, (#2, '& 2,&(** #!* # '&!" "!#* 2, $&, '& E ',, +&&(* #, $!)'." # ",'*!* 1* (* - '!( &! 9 0&2,!" "!; #*,( i di 8 ' $!)'." #, *!,+ ' " &1"," * z ' 2, '!* $!)' # 3& $&,(!* # (* (* z.di $!, 0&2,!" "! #* *!,* ( $ *&(* ' &$&* 4 ' * &, (* &(* # " (" ; '& &$&* " &1" &' #,( &!, '&!" " # &$&* #!* 2, '!* $!)' #!,* 1&* " (*,(* #!* $!, 0&2,!" "! #* di i ;< < A A? AC /!(*&(* #!( +&*!( #!* # '& 3!",'&*!( 6 &, (* ' 3&* 2,,(,(* #!*,*,( *&1 * 2, $,* :* #* $&,( 0 " ( ( 3&* 8!( $,* 6>
48 !(# '!* #,(!" "!#*!" ",( ( ")' # 0 " ( *&($!*&(* 0&,(,( *&( 2,&(** #!* + ** # $ " * # '!* * ' ",'*!*!" " # $!)'." # 6 # 0 " (!(*&(* $& ' &$&* # & #, &, #!* -!*,( G = (V, E), c &, #!* 8 {(si, t i )} ' ( ")' #!" "! #* 8 Pi ' ( ")' # 0 " ( # 9 si ti #&( G 8 * <(!* # 9 P = i P i si ti 1$"!" ",( $!(#&*!( # f 0 " ( # * '!* # '&!" "!#* Pi i * p P i f(p) / 3&* 2, '!*!* $!* $& # 0 " (!(* (* (*(.2, " (* '& (!*!( #!( +&*!( 4 ' * 9!(*&(# '!* &, $ * # &$&* * 8 $!, '& 8 ',9 * # " &2, 2, '& 2,&(** #!* $&&(*, '& e * '&!" " # 2,&(** #!* $&&(*, *!, ' 0 " (!(* (&(* e p P,e p f(p) c(e). / $!%&" " '(& #, ",'*!* " &1"," # + (* ',+&(* 8 '!%2, " (* 2,&' # 6 6 f(p) p P p P,e p f(p) c(e) e 6 f(p) 0 p P / $!)'." $($&' # ** 3!",'&*!( * 2, ' (!") # +&&)' 8 *;9; # ' (!") # 0 " ( 8 * %(&' " (* 1$!( (* ' ( '& *&'' #, %&$0 / #,&' # $!%&" " '(& & *!,* 3!,( %&(# (*:* - '& +&&)' #,&' &! 9 '&!(*&(* # &$&* # '& e * (!* l(e) 8 ' #,&' #, $!%&" " '(& * l(e)c(e) e l(e) 1 p P e p l(e) 0 e 6
49 - '!(!(#.!" ",( " *2, l, ' & 8 ' $! #,* l(e)c(e) *,(!* # +!'," # '& * e ' $!%&" " '(& $,* 1$"!")(&*! " (*!" " '! #%' ) #)%! %#)!#! #)) )#) '!#) %#!" 1 / $" &' &-&(*,( (!") 1$!( (* ' #!(*&(* 8 ' #,&' & ) (,( (!") 1$!( (* ' # +&&)' 8 $ (#&(*!( $!)'." # $&&*!( * *+&' " (* $!'-(!; " &' / 66 / ( ")' P * '&,(!( # ( ")' # 0 " ( # 9 8 ' Pi si ti,9 * #!( # + 2, 8 $!, *!,* i 8 ' ( ")' # 0 " ( # Pi * # '!(%,,,$, $',8 ' $',!,* 0 " ( # 9 si ti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
51 ;< <? B?? A? / &,* $!)'." $! $& * 0(2, # &!(# &'&*! * 2, '' ( * (* '&!',*!( # '& '&1&*!( '(& #, $!)'." ( 2, '' ; &',' ( * " $ $!'-(!" &'8!" " "!(* $', 0&,* 8 ' * " $ # &',' # + (( (* $!0)*3 9 ", 2, '& *&'' # $!)'." &,%" (* E& 1 " $' 8 '&!" $' 1* "!- (( #,( " $' 1, ' $!%&" " '(& 6 #,( ",'*!* #!" "! k #*,,( &, 9 n!" " * * m & * # '!# # O(k 3 m 2 n + k 2 m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
52 " (" &(* $ (&'* <( 0*!2, # ',*'&*!( # * 0(2, $!, ' $!; )'." #!,+ *, * # 6 8 #!(* ' ",'*!* 3&*!((& 8 *!,+ #&( 3!,(% 55 7 =!, #*&''!( #&( '&,*,( &,* &$$!0 2, + 9!)* ( # ",'*!* 3&*!((& # 2,&'* %&&(* &( $& $& '&!',*!( #,( $!%&" " '(& ;< < BB A AC? A? / #,&' # '& 3!",'&*!( 6 6 #, ",'*!* "!(* 2, ' - &,( ' ( *!* (* ' $!)'." # ",'*!* * ' &',' # $',!,* 0 " ( #&( # %&$0, ' 2, ',( " *2, * $! ( '&*!( &+ '!* 2, $& $& 0&2, &:* 7,1 &$$! 0 ()' " (* # (* #*(%, (* &'! *!,* ( $&*&% &(*,( # (*&' (*!; #,* $& - 0 &0! 0 * 8 &*,'& 3 57 '& " &($,'&*!( #,( " *2,, ' & 2, ", * * 1$!( (* '' ( '& 2,&(** #!* 2, $&, 0&2, & /& $ ". &$$!0 8 0*!2, " (* 8 * (*!#,* $& / %0*!( 8 8 & #!( 8 E '!* ( 8 -* ( 8 &#! 8 * &%!,#& 3 7 * %(& ' &,1 $!)'." # 6 * #!,; + *, 3&*!((& $& E '!* ( 8-0 "!-8 * &#! 3 7 / * 0(2, $($&'!(* (* ( '&!',*!( #, $!)'." &( '!(*&(* # &$&* 8 2, &$$&; (* 9,( '&1&*!( '&%&(% (( 8 &! &,!,*&% *&*3 #,!* 1,2, 9 2, ' &$&*! (* $ * 9,( 3&*, (1 + ɛ) $. 7 &( &# 8 '& " *2,, ' & $ " * $($&' " (* # ", 9 2, ' $!(*,( &$&* * +!' + ** * 0(2, & " " (* * &#&$* &,1 $!)'." # 6 %(& ' $& &( ( * 0 &(% /&!(# &$$!0 8 (*!#,* $&!,(% 3 7 #&(,( &# $', %(&'8!(; #. ' $!)'." #&( '&,* ( ( )&&(*,,( &$$!0 $" &' #,&' 4 ' &%* #!(*,,(!',*!( #, #,&'8 '& " *2, $# (* #&( ' & #, ",'*!* 8 2, %,# * +!', &+ # "!#&*!( # 3&)' &" $'*,# # +&&)' #, $" &' / &$$'; &*!( # ** &$$! 0 &, ",'*!* & * 3&* $& &% *!( " &(( &( & 8 '(* $*&*!(!")(&*! #, #,&' #, ",'*!* #&(!( *, 6 6 &".(,( &'%!*0" $($&' " (* 3!(#, '# 2, ' 0 " ( +!'&(* ' $', '!(*&(* #, #,&' * ', $&&(* $& ' & ' "!( 0&% /& *&*%!(* 6
53 #!( 8 9 0&2, *&*!( 8 9 #* " ( 0 " ( $&,( &',' # $',!,* 0 " ( $!, 0&2,!" "! #* 8 $, 9 &,%" (* '!*, ',;8 * 9 " &(* ( '& " *2, # & E ', *&# 8 :' & &" '! '&!" $' 1* # * &'%!*0" ( '& (#&(* (#$ (#&(* #, (!") #!" "! #* #, ",'*!* + #,1 &'%!*0" #!(* (!, $!$!!(,( &" '!&*!(!(* #*&'' ( *!( 4 ' * (* &(* # " &2, &, 2, #,1 &$$! 0 ")' (* 9 $ ". +, # (* 8 '' $,+ (* *!,* 3! :*!(#!" " " '& ( * 8 '!( " &%( 2, $!, 0&2,!" "!#* (si, t i ) ' - &,( &,$$'" (*& # &$&* * # '!(%,, (,'', ' 2, ' *!, '!* $& (* (*&' " (* 8 '&!(# &$$! 0!$.,(!,*&% #!* # " :" (&*, 2, 2, $!$! '& $ ". /& $', %&(# # ( * &'! 2, ' & #!(* '!(*&(*!(* ' $', +!'!(* -*" &*2, " (* ' & 3&* ( $,* &%, 2, ** 3&!( #!$ 3! 9,*',( *,&*!( # #$&* *!$ ** " (* #( * 2, $!,&* " $! #!(*&(* $&&* 3!* &,1!',*!(!, ) ( 2, '&!(# &$$!0!(* 9 +* # 3& # 0!1! *,1 $!, :* $', 9 &!,1!, *;' 2, #,1 &$$!0 $ " ** (* #!)* ( # ;&$$!1" (1 + ɛ) &*!( * 2, ''!(* # %&(# " '*,# >5
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
57 #!(( $!* $& '!(( 1!(!$*2,!(*!,+ (* # &%%&*!( $& ",'*$' 1&% ( * " $ #,1 %( $& # " **, ' *!(2, * #!( # $', 3&)' #)* t t t fréquence temps t transmetteurs laser t multiplexeur optique démultiplexeur optique t filtres optiques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
59 Input fibers F OXC Output fibers drop add demux mux fiber band band fiber B OXC drop add demux band W OXC mux band drop add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
60 *,( $!# * 0(!'!%2, 2, $ " * 9,(!,*, # "!# '& '!(%,, #!(# #,( 3& &, '& &+&(* # ' #%, '& ) &$$!$ + '& $ " * # &,*! #,1 3& &,1 '& 2, &+ & (* # #,1 ) # (* &+ '& " :" '!(%,, #!(# 9 $&*, '& " :" ) &+ #,1 '!(; %,, #!(# # (* / $ " 2,$ " (* #!(+!( ( '!(%,, #!(# *& (*!$*!;' *!(2, 8,( 3&!( " $' # 3& # '&!(+!( ( '!(%,, #!(#!(*&(* 9 (# ' 3& &, ( #,1 '!,*, $*!(( ' 3& &, 8 '!(+ ** ( %(&' ' *!(2, $, ' ;" *, '& (!,+ '' '!(%,, #!(# /!(+ *,!$*!;' *!(2, (*! #, (* $&!(2, (* # * " $ # *&* " (* ' *!(2, (#&)' 7!(+ *, *!,*!$*2,!(* #!( * #+ '!$$ $!, :* (*% &,1!,*,!$*2, 3, *!'' ' 1* $',, *-$ # 3!(*!( #!(+!( #!(* ' $($&'!(* ',; +&(* *!*&' *!, ' 3& &,1 (*&(* $,+ (*,),(!(+!( 4 ' ( - & #!(*&(* ( ( (!") 8 ( ( 2,&'*, '!(+!( + * -$ # 3!(*!( #!(+!( * " ( $'& 2,&" (* -*" &*2, " (*, '!,*, 3&&(* '(* 3& (* # &,1 % $& #,1!$ &*, # (* $!, '.!' 0 #,( $&* 8 &,,( # #,1!$ &*, ( & (+ # #!(( 9 '&,* '& "!(# (3!" &*!(, & 3&!( # & * ' '!(%,, #!(# &,1!(( 1!( * 8 # &,* $&* 8 ( ( 3! '!$ &*, 9 &+! ' " :" 2,$ " (* * ' '!(%,, #!(#,*',,( # &,1 9 :* #$!()', '&,* 3-,)&" &(&" *!'' 7 $&* '' *!, ' 3& &,1 (*&(*!(* '%)' 9 '&!(+!( 8 " &,',( (!") * (* $,* ':* /!(+!( (!(* $& '" * ( 2,&'* 3-0 &" & * &+&%! 5552, ' **& *!'' 55 7 '" * *!, ' 3& &,1 (*&(* $,+ (*,),(!(+!( 8 " & ' ( ")' # '!(%,, #!(# & )' 9,( 3& &, #$ (# # & '!(%,, #!(#!%; (&' 3 &(% *! '' 55 7 >
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
63 *!, ' 0 " ( $&&(* $& '& ) # $', %&(# 0&% #!+ (* &+! # '!(%,, #!(# # (* E!, &,*&(* 8 ' $!)'" &*2, #!'!&*!( # 0 " ( 3&&(* $',;, &,* $,+ (* &" ( 9,( &* (!" $ )' (* '& 0&% * ' (!")!$*; " &' # '!(%,, #!(# #,(!,*&% ( (!" " 66 6 ' &*! (* #,1 +&', * ' $!)'." 2,!(* 9!$ ",'*&(" (* '!,*&% # 2,:* * '& *&*!( # '!(%,, #!(# &,1 0 " ( 8 2, &".( 9 # ) ( " '',!',*!( 2, '!$*" &*!(, + # #,1!,;$!)'." ( * 8 ' & * $!,+ $& &,2, , ' 1* # 3&" '' # &,1 * # 2,:* $!, ' 2, '' '&* (* ' (!")!$*" &' # '!(%,, #!(# $!,,(!,*&%!$*2, * ' (!") # '!(%,, #!(#!$*" &' $!, '!,*&%!$*" &' &, ( # '& 0&% * (!( )!( /!,*&%!$*2, " * ( 1, # $!)'" &*2, # ",'*!* #&( # %&$0 &,1'& 2, 3!(* '!)1 * #, 0&$* * '& &'* # &,1 &*, ' /& %, > #* '& *,&*!( '&2, #,( &, *&($!*&(* # $&2, * F 2,!(* & ")',,( )!,' '!&' 8 *&($!* $&,( &, E ",'*) F > /&! 1* ( # # (* ",'*$' 1&%!(* 9 '!%( # $!)'" &*2, # %!,$&% #,1 7,( $&*!( %!,$ ',1!$*2, 2,,+ (* # $!*!(!" ",( # *&1 * &( # " (" '! * # 2,$ " (* #!,*&% #&( '!,*, "!(* ( %, 6 7 &,* $&* 8!( %!,$ ',1 ' *!(2, 9 ' (* #, &, 2, $&*&% (*,( " :" '!(%,, #!(# ( * 8 0&2, 3! 2,,( 5
64 ,1 ' *!(2, #!* :* (!, 1*&* $&,(!,*, 8 ' 3&,* 2,,( 2,$ " (*!* $ (* #&( '!,*, $!, " &($,' '& '!(%,, #!(# $!*&(*,1 + 2,$ " (* 8 ' E $!, 8!(*! *,1 * ' %!,$&% + 9 " (" ', (!") #&( ' &, $ " * # ' 0 '!(*&(* # '& *&; *!( # '!(%,, #!(# * 8 $&!(2, (* 8 #!)* ( # & *&*!( # ) ( " '', 9 &* 34 &" &",*0- * 8, ,)&" &(&" *!'' 2, ' **& *!'' &" & * &+&%! 5557 ( * 8 #, $!(* # +, # '& *&*!( # '!(; %,, #!(# 8,(!(+!( &%*!" " ' 0 " (!(+ * *&*!,$ ( #,1!,; 0 " ( (#$ (#&(*8 #!,$'&(* &( '!(*&(* #!'!&*!(!,;1 & (* /!$*" &*!(!( (&(* ' 2,$ " (* #!(+!( 0 0 (* *!,* 9 ( " (" ' (!") *!,* ( 0 0&(* 9!)* ( 8 $& 1 " $' 8,( 9 &*!$*" &' 8 *;9;# 2, ' (!") # '!(%,, #!(# ( &!* %&' 9 '& 0&% #,!,*&% 7 &( ' & # '&!(+!( *!*&' 8 '!$*" &*!(!(* 9 0!,(!,; ( ")' " (" &' # (,# #, &,! (*&'' '!(+ *, E, 2,,(!(+ *, *!*&' $ " * # *&* *!, ' 0 " ( - $&&(* &( &,,(!(*&(* 8 $'&,(!(+ *, #&(,( (,# + (* 9!,$ ' &, * ' 0 " ( 9 * (#!* '9 4 ' &%* #!( # *!,+ # #!" $!*!( # &,1 (!, &,1, ' 2, ' '!* & #!)* (,( & *&*!( # '!(%,, #!(# # 9 &*!$*" &' 3, ' **& *!'' ,)&" &(&" *! '' 2!%( 5557 / & # '&!(+!( $&* '' * # (* $,2, #!(+!( (!(!(*&(*!(* #$!()', *!, '!" " * " & ( (!") '" * 4 ' &%* &'! $',* * # #" (!(( 0&2, 2,$ " (* $!, &, 2, *!,* 0 " ( ( *&(*,(!(+!( ( *!,+ &,( #$!()',' **& 8 +&&%&((8 &%&(! 8 & ' &" &( 8 * E &(! !(* *!,+ # $!)'" &*2, # #&( ' &! ' &, * ( &) =!, "!(*!( &, 0&$* 2, ' - &,( ' ( 3!* (* #" (!(( " (* * '!$*" &*!( # &$&* #,( &, # ",'*!* 7 &( ' & # '&!(+!( '" * 8 ' $!)'" &*2,!(* $',!" $' 1 * " :' (* #" (!(( " (* # '& '&%, #, $ * & )' 9,( '!(%,, #!(# # $ * #&( ' ( ")' # '!(%,, #!(# #$!()' 2 * $&**!(
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émultiplexeurs Fibre d entrée 1 Fibre d entrée 2 Fibre d insertion Commutateurs Multiplexeurs Fibre de sortie 1 Fibre de sortie 2 Fibre d extraction F 6 5 6
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u, v) 8 &'! ' - & '& 2,:* 7 (v, u) 8 #,!,*&% 3' 0 " ( # '& 2,:* #!* (u, v),*' ' " :" ' ( 2, ', # 7 (v, u) 8 * '& *&*!( # '!(%,, #!(# 3'& '!(%,, #!(# & * &, 0 " ( # (u, v) * '& " :" 2, '' & * 9 ', # 7 (v, u) &,1 0 " ( +&(* '(*&( #!" ",(&*!( 1$" ( * " # *0! # %&$0 1&* " (*!" " ' $!)'." '&2, #!'!&*!( # 0 " ( #&(,( %&$0 &+,( " ("," #!,', + ** 2,&(**! $!(# ( * 9,( # 3&*, $($&,1 #,! * # 2,$ " (* " ( $'& #&(,( &, ' *!( *,# * (* &(* & '(, ( #,( * '' 3!(*!( #! * 8 %'!)&' 9 *!,* ' &, 8 * *. # (* # '' #,( 3!(*!( * '' 2, '& 0&% #, &, 8 '! &' 9 0&2, ' ( '* (&*+ " (* 8!( $,* +!,'! " &1" ' (!") # 2,:* + &+,( (!") #!(( # '!(%,, #!(# #$!()' 8 * 2,+&' (* / &$$'&*!( (+&% 9 '!$*" &*!( # &,1 E 8 " & &, &, 6 6! ' &%* #!#!((&( #!" ",(&*!(,,( &, 9 ",'*$' 1 &% ( * " $ #* " (* 8!(* "!*+,( (!,+ ' (*:* #&( '*,# # '&!'!&*!( # 0 " (, # '& # %&$0 $&*,'. 3 "!(# *!'' 2," & 2 ' )&0 *!'' 2, ' **& *!''
67 < < A? A 4 " " (*!(* * $,)' # (!"),1 *&+&,1 *,#&(* '&!'!&*!( # 0 " (, # *!$!'!% " $' * '' ' %'' 8 ' &(( &,1 * ' &) 3 "!(# *!'' 2 &%&(! *!'' 2," & 2 = ( * (# 2 ' )&0 *!'' 2,' **& *!'' 5557 /& $',$&* # *,# (* (* &,1 ' ( (* '& 6 l # ' ( ")' # 0 " ( * ' (!")!$*" &' #!,', ( & 9,(!'!&*!( 8 w ( * 8 '& 0&% #,( ' ( #, &, * ' (!") # 0 " ( *&+ &(* ' ( * '& 0&% #, &, * '& 0&% #, ' ( ' $', 0&% *&(* #!(( 2, #,1 0 " ( 2, *&+ (* ' " :" ' ( ( $,+ (* &+! '& " :"!,',8 '& 0&% #, &, *,( )!( (3, &, (!") " ("," #!,', ( & / &*! w l (* ' (!") #!,', * '& 0&% *,( 2,&(** *. *,# & '' $ " * # ", 3&' " (* '& 2,&'* #,(!',*!( &$$!0 ( * 8 ' *!,+ (* #9 ' # *" ' (!")!$*" &' #!,', &'! 2, '& 0&% *,( 2,&(** " " #&* " (* #$!()' / &! ' %&$0 &,( *!$!'!% ( &(( &, &$$ '' ' $!)'." #!'!&*!( # &,'& < ( $ ". *,# # &&$ *-&( 3 57 & #!((,( 3;&$$!1" &*!( (,*'&(*,(,'*&* #, 3 7 2, #,* '&!'!&*!( # &,'& 9,( (*&( $&*,'. # ",'*!* (* 8," & 3 7 & $!$!,( &$$!1" &*!( &'&*! # 3&*, 1+ 1 e & * 0(2, 8 $! 0 # '',*' #&( (! *&+&,1 8!(* $($&' " (* 9!,# '& '&1 &*!( 3&*!((& #, ",'*!* * 9 $! # 9,( # '&!',*!(!)* (, + ** * 0(2,!'! $ 2, *!, ' 0 " ( &+,( (!") #!,', %&' 9 '!$*" &' # '& '&1&*!( 8 '& 3&)' $!$!*!( # 0 " ( *&(* *!'! #&(,(,'*" $0&,*'&(* ' " '', &'%!*0" $!'-(!" &'!((, + ** # (. $0& ( (% (# 2,,( $ ** $ * $,2, '' ( &$$'2, 2, 9 $, # 0 " ( E!, ' *!$!'!% ( &) 8,( &$$!1" &*!( #* " (* & * $!$! $& ; ' )&0 8 &( ( 8 & ' &" &( 8 8 0&'8 * E &(! * & '%!*0" 8 2,!'! *!,* ( ")' # 0 " ( # 0&% l,,( &) (,*'&(* &, $', 5l 3 2!,',8 * %'!,; *!( * $!.# $& $0& 8,( $&!" " * v # '&) / #!(* 9!(# '!" " * #&( '!# #,( $&!, ( '&%, # &)!# /!2, '!" " * v * *&* 8 '&'%!*0" 3&* '0-$!*0. 2, ' & #1 9!(*,*,(!'!&*!( $&* '' # *!, ' >
Chemical and biological evaluations of an (111)in-labeled RGD-peptide targeting integrin alpha(v) beta(3) in a preclinical tumor model.
Chemical and biological evaluations of an (111)in-labeled RGD-peptide targeting integrin alpha(v) beta(3) in a preclinical tumor model. Mitra Ahmadi, Lucie Sancey, Arnaud Briat, Laurent Riou, Didier Boturyn,
Διαβάστε περισσότεραDYNAMICS OF CHANGE WITHIN LIVESTOCK SUB-SECTOR IN CHAD : a key-study of raw milk commodity chain in N Djamena
DYNAMICS OF CHANGE WITHIN LIVESTOCK SUB-SECTOR IN CHAD : a key-study of raw milk commodity chain in N Djamena Koussou Mian Oudanang To cite this version: Koussou Mian Oudanang. DYNAMICS OF CHANGE WITHIN
Διαβάστε περισσότεραCouplage dans les applications interactives de grande taille
Couplage dans les applications interactives de grande taille Jean-Denis Lesage To cite this version: Jean-Denis Lesage. Couplage dans les applications interactives de grande taille. Réseaux et télécommunications
Διαβάστε περισσότεραMulti-GPU numerical simulation of electromagnetic waves
Multi-GPU numerical simulation of electromagnetic waves Philippe Helluy, Thomas Strub To cite this version: Philippe Helluy, Thomas Strub. Multi-GPU numerical simulation of electromagnetic waves. ESAIM:
Διαβάστε περισσότεραAnnulations de la dette extérieure et croissance. Une application au cas des pays pauvres très endettés (PPTE)
Annulations de la dette extérieure et croissance. Une application au cas des pays pauvres très endettés (PPTE) Khadija Idlemouden To cite this version: Khadija Idlemouden. Annulations de la dette extérieure
Διαβάστε περισσότεραNetwork Neutrality Debate and ISP Inter-Relations: Traffi c Exchange, Revenue Sharing, and Disconnection Threat
Network Neutrality Debate and ISP Inter-Relations: Traffi c Exchange, Revenue Sharing, and Disconnection Threat Pierre Coucheney, Patrick Maillé, runo Tuffin To cite this version: Pierre Coucheney, Patrick
Διαβάστε περισσότεραSPFC: a tool to improve water management and hay production in the Crau region
SPFC: a tool to improve water management and hay production in the Crau region J.C. Mailhol, A. Merot To cite this version: J.C. Mailhol, A. Merot. SPFC: a tool to improve water management and hay production
Διαβάστε περισσότεραJie He. To cite this version: HAL Id: halshs https://halshs.archives-ouvertes.fr/halshs
Pollution haven hypothesis and Environmental impacts of foreign direct investment: The Case of Industrial Emission of Sulfur Dioxide (SO2) in Chinese provinces Jie He To cite this version: Jie He. Pollution
Διαβάστε περισσότεραSolving an Air Conditioning System Problem in an Embodiment Design Context Using Constraint Satisfaction Techniques
Solving an Air Conditioning System Problem in an Embodiment Design Context Using Constraint Satisfaction Techniques Raphael Chenouard, Patrick Sébastian, Laurent Granvilliers To cite this version: Raphael
Διαβάστε περισσότεραForêts aléatoires : aspects théoriques, sélection de variables et applications
Forêts aléatoires : aspects théoriques, sélection de variables et applications Robin Genuer To cite this version: Robin Genuer. Forêts aléatoires : aspects théoriques, sélection de variables et applications.
Διαβάστε περισσότεραRobust Segmentation of Focal Lesions on Multi-Sequence MRI in Multiple Sclerosis
Robust Segmentation of Focal Lesions on Multi-Sequence MRI in Multiple Sclerosis Daniel García-Lorenzo To cite this version: Daniel García-Lorenzo. Robust Segmentation of Focal Lesions on Multi-Sequence
Διαβάστε περισσότεραTransformations d Arbres XML avec des Modèles Probabilistes pour l Annotation
Transformations d Arbres XML avec des Modèles Probabilistes pour l Annotation Florent Jousse To cite this version: Florent Jousse. Transformations d Arbres XML avec des Modèles Probabilistes pour l Annotation.
Διαβάστε περισσότεραLes gouttes enrobées
Les gouttes enrobées Pascale Aussillous To cite this version: Pascale Aussillous. Les gouttes enrobées. Fluid Dynamics. Université Pierre et Marie Curie - Paris VI,. French. HAL Id: tel-363 https://tel.archives-ouvertes.fr/tel-363
Διαβάστε περισσότεραPhysique des réacteurs à eau lourde ou légère en cycle thorium : étude par simulation des performances de conversion et de sûreté
Physique des réacteurs à eau lourde ou légère en cycle thorium : étude par simulation des performances de conversion et de sûreté Alexis Nuttin To cite this version: Alexis Nuttin. Physique des réacteurs
Διαβάστε περισσότεραACI sécurité informatique KAA (Key Authentification Ambient)
ACI sécurité informatique KAA (Key Authentification Ambient) Samuel Galice, Veronique Legrand, Frédéric Le Mouël, Marine Minier, Stéphane Ubéda, Michel Morvan, Sylvain Sené, Laurent Guihéry, Agnès Rabagny,
Διαβάστε περισσότεραÉmergence des représentations perceptives de la parole : Des transformations verbales sensorielles à des éléments de modélisation computationnelle
Émergence des représentations perceptives de la parole : Des transformations verbales sensorielles à des éléments de modélisation computationnelle Anahita Basirat To cite this version: Anahita Basirat.
Διαβάστε περισσότεραJeux d inondation dans les graphes
Jeux d inondation dans les graphes Aurélie Lagoutte To cite this version: Aurélie Lagoutte. Jeux d inondation dans les graphes. 2010. HAL Id: hal-00509488 https://hal.archives-ouvertes.fr/hal-00509488
Διαβάστε περισσότεραEnzymatic Synthesis of Dithiolopyrrolone Antibiotics Using Cell-Free Extract of Saccharothrix
Enzymatic Synthesis of Dithiolopyrrolone Antibiotics Using Cell-Free Extract of Saccharothrix algeriensis NRRL B-24137 and Biochemical Characterization of Two Pyrrothine N-Acyltransferases in This Extract.
Διαβάστε περισσότεραMicroscopie photothermique et endommagement laser
Microscopie photothermique et endommagement laser Annelise During To cite this version: Annelise During. Microscopie photothermique et endommagement laser. Physique Atomique [physics.atom-ph]. Université
Διαβάστε περισσότεραA Convolutional Neural Network Approach for Objective Video Quality Assessment
A Convolutional Neural Network Approach for Objective Video Quality Assessment Patrick Le Callet, Christian Viard-Gaudin, Dominique Barba To cite this version: Patrick Le Callet, Christian Viard-Gaudin,
Διαβάστε περισσότεραConsommation marchande et contraintes non monétaires au Canada ( )
Consommation marchande et contraintes non monétaires au Canada (1969-2008) Julien Boelaert, François Gardes To cite this version: Julien Boelaert, François Gardes. Consommation marchande et contraintes
Διαβάστε περισσότεραLangages dédiés au développement de services de communications
Langages dédiés au développement de services de communications Nicolas Palix To cite this version: Nicolas Palix. Langages dédiés au développement de services de communications. Réseaux et télécommunications
Διαβάστε περισσότεραStatistical analysis of extreme events in a nonstationary context via a Bayesian framework. Case study with peak-over-threshold data
Statistical analysis of extreme events in a nonstationary context via a Bayesian framework. Case study with peak-over-threshold data B. Renard, M. Lang, P. Bois To cite this version: B. Renard, M. Lang,
Διαβάστε περισσότεραInflation Bias after the Euro: Evidence from the UK and Italy
Inflation Bias after the Euro: Evidence from the UK and Italy Pasquale Scaramozzino, Giancarlo Marini, Alessandro Piergallini To cite this version: Pasquale Scaramozzino, Giancarlo Marini, Alessandro Piergallini.
Διαβάστε περισσότεραDéveloppement de virus HSV-1 (virus de l herpes simplex de type 1) oncolytiques ciblés pour traiter les carcinomes hépatocellulaires
Développement de virus HSV-1 (virus de l herpes simplex de type 1) oncolytiques ciblés pour traiter les carcinomes hépatocellulaires Aldo Decio Pourchet To cite this version: Aldo Decio Pourchet. Développement
Διαβάστε περισσότεραModélisation de la réaction d alkylation du motif zinc-thiolate
Modélisation de la réaction d alkylation du motif zinc-thiolate Delphine Picot To cite this version: Delphine Picot. Modélisation de la réaction d alkylation du motif zinc-thiolate. Chimie. Ecole Polytechnique
Διαβάστε περισσότεραRadio détection des rayons cosmiques d ultra-haute énergie : mise en oeuvre et analyse des données d un réseau de stations autonomes.
Radio détection des rayons cosmiques d ultra-haute énergie : mise en oeuvre et analyse des données d un réseau de stations autonomes. Diego Torres Machado To cite this version: Diego Torres Machado. Radio
Διαβάστε περισσότεραPax8 and Pax2 are specifically required at different steps of Xenopus pronephros development
Pax8 and Pax2 are specifically required at different steps of Xenopus pronephros development Isabelle Buisson, Ronan Le Bouffant, Mélinée Futel, Jean-François Riou, Muriel Umbhauer To cite this version:
Διαβάστε περισσότεραModèles de représentation multi-résolution pour le rendu photo-réaliste de matériaux complexes
Modèles de représentation multi-résolution pour le rendu photo-réaliste de matériaux complexes Jérôme Baril To cite this version: Jérôme Baril. Modèles de représentation multi-résolution pour le rendu
Διαβάστε περισσότεραTransfert sécurisé d Images par combinaison de techniques de compression, cryptage et de marquage
Transfert sécurisé d Images par combinaison de techniques de compression, cryptage et de marquage José Marconi Rodrigues To cite this version: José Marconi Rodrigues. Transfert sécurisé d Images par combinaison
Διαβάστε περισσότεραVers un assistant à la preuve en langue naturelle
Vers un assistant à la preuve en langue naturelle Thévenon Patrick To cite this version: Thévenon Patrick. Vers un assistant à la preuve en langue naturelle. Autre [cs.oh]. Université de Savoie, 2006.
Διαβάστε περισσότεραDes données anatomiques à la simulation de la locomotion : application à l homme, au chimpanzé, et à Lucy (A.L )
Des données anatomiques à la simulation de la locomotion : application à l homme, au chimpanzé, et à Lucy (A.L. 288-1) Guillaume Nicolas To cite this version: Guillaume Nicolas. Des données anatomiques
Διαβάστε περισσότεραCoupling strategies for compressible - low Mach number flows
Coupling strategies for compressible - low Mach number flows Yohan Penel, Stéphane Dellacherie, Bruno Després To cite this version: Yohan Penel, Stéphane Dellacherie, Bruno Després. Coupling strategies
Διαβάστε περισσότεραPoints de torsion des courbes elliptiques et équations diophantiennes
Points de torsion des courbes elliptiques et équations diophantiennes Nicolas Billerey To cite this version: Nicolas Billerey. Points de torsion des courbes elliptiques et équations diophantiennes. Mathématiques
Διαβάστε περισσότεραE fficient computational tools for the statistical analysis of shape and asymmetryof 3D point sets
E fficient computational tools for the statistical analysis of shape and asymmetryof 3D point sets Benoît Combès To cite this version: Benoît Combès. E fficient computational tools for the statistical
Διαβάστε περισσότεραMesh Parameterization: Theory and Practice
Mesh Parameterization: Theory and Practice Kai Hormann, Bruno Lévy, Alla Sheffer To cite this version: Kai Hormann, Bruno Lévy, Alla Sheffer. Mesh Parameterization: Theory and Practice. This document is
Διαβάστε περισσότεραDiscouraging abusive behavior in privacy-preserving decentralized online social networks
Discouraging abusive behavior in privacy-preserving decentralized online social networks Álvaro García-Recuero To cite this version: Álvaro García-Recuero. Discouraging abusive behavior in privacy-preserving
Διαβάστε περισσότεραSpectres de diffusion Raman induits par les intéractions pour les bandes v2 et v3 de la molécule CO2 en gaz pur et en mélange avec de l argon
Spectres de diffusion Raman induits par les intéractions pour les bandes v2 et v3 de la molécule CO2 en gaz pur et en mélange avec de l argon Natalia Egorova To cite this version: Natalia Egorova. Spectres
Διαβάστε περισσότεραContribution à l évolution des méthodologies de caractérisation et d amélioration des voies ferrées
Contribution à l évolution des méthodologies de caractérisation et d amélioration des voies ferrées Noureddine Rhayma To cite this version: Noureddine Rhayma. Contribution à l évolution des méthodologies
Διαβάστε περισσότεραCarolina Bernal, Frédéric Christophoul, Jean-Claude Soula, José Darrozes, Luc Bourrel, Alain Laraque, José Burgos, Séverine Bès de Berc, Patrice Baby
Gradual diversions of the Rio Pastaza in the Ecuadorian piedmont of the Andes from 1906 to 2008: role of tectonics, alluvial fan aggradation and ENSO events Carolina Bernal, Frédéric Christophoul, Jean-Claude
Διαβάστε περισσότεραModeling floods in a dense urban area using 2D shallow water equations
odeling floods in a dense urban area using 2D shallow water equations E. ignot, A. Paquier,. Haider To cite this version E. ignot, A. Paquier,. Haider. odeling floods in a dense urban area using 2D shallow
Διαβάστε περισσότεραHygromécanique des panneaux en bois et conservation du patrimoine culturel. Des pathologies... aux outils pour la conservation
Hygromécanique des panneaux en bois et conservation du patrimoine culturel. Des pathologies... aux outils pour la conservation Bertrand Marcon To cite this version: Bertrand Marcon. Hygromécanique des
Διαβάστε περισσότεραA Comparison of numerical simulation models for predicting temperature in solidification analysis with reference to air gap formation
A Comparison of numerical simulation models for predicting temperature in solidification analysis with reference to air gap formation J. Kron, Michel Bellet, Andreas Ludwig, Bjorn Pustal, Joachim Wendt,
Διαβάστε περισσότεραGeometric Tomography With Topological Guarantees
Geometric Tomography With Topological Guarantees Omid Amini, Jean-Daniel Boissonnat, Pooran Memari To cite this version: Omid Amini, Jean-Daniel Boissonnat, Pooran Memari. Geometric Tomography With Topological
Διαβάστε περισσότεραAnalysis of a discrete element method and coupling with a compressible fluid flow method
Analysis of a discrete element method and coupling with a compressible fluid flow method Laurent Monasse To cite this version: Laurent Monasse. Analysis of a discrete element method and coupling with a
Διαβάστε περισσότεραLogique et Interaction : une Étude Sémantique de la
Logique et Interaction : une Étude Sémantique de la Totalité Pierre Clairambault To cite this version: Pierre Clairambault. Logique et Interaction : une Étude Sémantique de la Totalité. Autre [cs.oh].
Διαβάστε περισσότεραMeasurement-driven mobile data traffic modeling in a large metropolitan area
Measurement-driven mobile data traffic modeling in a large metropolitan area Eduardo Mucelli Rezende Oliveira, Aline Carneiro Viana, Kolar Purushothama Naveen, Carlos Sarraute To cite this version: Eduardo
Διαβάστε περισσότεραA qualitative and quantitative analysis of the impact of the Auto ID technology on supply chains
A qualitative and quantitative analysis of the impact of the Auto ID technology on supply chains Evren Sahin To cite this version: Evren Sahin. A qualitative and quantitative analysis of the impact of
Διαβάστε περισσότεραProfiterole : un protocole de partage équitable de la bande passante dans les réseaux ad hoc
Profiterole : un protocole de partage équitable de la bande passante dans les réseaux ad hoc Rémi Vannier To cite this version: Rémi Vannier. Profiterole : un protocole de partage équitable de la bande
Διαβάστε περισσότεραThree essays on trade and transfers: country heterogeneity, preferential treatment and habit formation
Three essays on trade and transfers: country heterogeneity, preferential treatment and habit formation Jean-Marc Malambwe Kilolo To cite this version: Jean-Marc Malambwe Kilolo. Three essays on trade and
Διαβάστε περισσότεραStéphane Bancelin. Imagerie Quantitative du Collagène par Génération de Seconde Harmonique.
Imagerie Quantitative du Collagène par Génération de Seconde Harmonique Stéphane Bancelin To cite this version: Stéphane Bancelin. Imagerie Quantitative du Collagène par Génération de Seconde Harmonique.
Διαβάστε περισσότεραRésolution de problème inverse et propagation d incertitudes : application à la dynamique des gaz compressibles
Résolution de problème inverse et propagation d incertitudes : application à la dynamique des gaz compressibles Alexandre Birolleau To cite this version: Alexandre Birolleau. Résolution de problème inverse
Διαβάστε περισσότεραGlobal excess liquidity and asset prices in emerging countries: a pvar approach
Global excess liquidity and asset prices in emerging countries: a pvar approach Sophie Brana, Marie-Louise Djibenou, Stéphanie Prat To cite this version: Sophie Brana, Marie-Louise Djibenou, Stéphanie
Διαβάστε περισσότεραLa naissance de la cohomologie des groupes
La naissance de la cohomologie des groupes Nicolas Basbois To cite this version: Nicolas Basbois. La naissance de la cohomologie des groupes. Mathématiques [math]. Université Nice Sophia Antipolis, 2009.
Διαβάστε περισσότεραTraitement STAP en environnement hétérogène. Application à la détection radar et implémentation sur GPU
Traitement STAP en environnement hétérogène. Application à la détection radar et implémentation sur GPU Jean-François Degurse To cite this version: Jean-François Degurse. Traitement STAP en environnement
Διαβάστε περισσότερα! " # $ % & $ % & $ & # " ' $ ( $ ) * ) * +, -. / # $ $ ( $ " $ $ $ % $ $ ' ƒ " " ' %. " 0 1 2 3 4 5 6 7 8 9 : ; ; < = : ; > : 0? @ 8? 4 A 1 4 B 3 C 8? D C B? E F 4 5 8 3 G @ H I@ A 1 4 D G 8 5 1 @ J C
Διαβάστε περισσότεραDéformation et quantification par groupoïde des variétés toriques
Défomation et uantification pa goupoïde de vaiété toiue Fédéic Cadet To cite thi veion: Fédéic Cadet. Défomation et uantification pa goupoïde de vaiété toiue. Mathématiue [math]. Univeité d Oléan, 200.
Διαβάστε περισσότεραVoice over IP Vulnerability Assessment
Voice over IP Vulnerability Assessment Humberto Abdelnur To cite this version: Humberto Abdelnur. Voice over IP Vulnerability Assessment. Networking and Internet Architecture [cs.ni]. Université Henri
Διαβάστε περισσότεραPathological synchronization in neuronal populations : a control theoretic perspective
Pathological synchronization in neuronal populations : a control theoretic perspective Alessio Franci To cite this version: Alessio Franci. Pathological synchronization in neuronal populations : a control
Διαβάστε περισσότεραFusion de données multicapteurs pour la construction incrémentale du modèle tridimensionnel texturé d un environnement intérieur par un robot mobile
Fusion de données multicapteurs pour la construction incrémentale du modèle tridimensionnel texturé d un environnement intérieur par un robot mobile Ayman Zureiki To cite this version: Ayman Zureiki. Fusion
Διαβάστε περισσότεραZ L L L N b d g 5 * " # $ % $ ' $ % % % ) * + *, - %. / / + 3 / / / / + * 4 / / 1 " 5 % / 6, 7 # * $ 8 2. / / % 1 9 ; < ; = ; ; >? 8 3 " #
Z L L L N b d g 5 * " # $ % $ ' $ % % % ) * + *, - %. / 0 1 2 / + 3 / / 1 2 3 / / + * 4 / / 1 " 5 % / 6, 7 # * $ 8 2. / / % 1 9 ; < ; = ; ; >? 8 3 " # $ % $ ' $ % ) * % @ + * 1 A B C D E D F 9 O O D H
Διαβάστε περισσότεραUne Théorie des Constructions Inductives
Une Théorie des Constructions Inductives Benjamin Werner To cite this version: Benjamin Werner. Une Théorie des Constructions Inductives. Génie logiciel [cs.se]. Université Paris- Diderot - Paris VII,
Διαβάστε περισσότεραDéveloppement d un nouveau multi-détecteur de neutrons
Développement d un nouveau multi-détecteur de neutrons M. Sénoville To cite this version: M. Sénoville. Développement d un nouveau multi-détecteur de neutrons. Physique Nucléaire Expérimentale [nucl-ex].
Διαβάστε περισσότερα) * +, -. + / - 0 1 2 3 4 5 6 7 8 9 6 : ; < 8 = 8 9 >? @ A 4 5 6 7 8 9 6 ; = B? @ : C B B D 9 E : F 9 C 6 < G 8 B A F A > < C 6 < B H 8 9 I 8 9 E ) * +, -. + / J - 0 1 2 3 J K 3 L M N L O / 1 L 3 O 2,
Διαβάστε περισσότεραConditions aux bords dans des theories conformes non unitaires
Conditions aux bords dans des theories conformes non unitaires Jerome Dubail To cite this version: Jerome Dubail. Conditions aux bords dans des theories conformes non unitaires. Physique mathématique [math-ph].
Διαβάστε περισσότεραPhonetic and Phonological Aspects of Civili Vowel Duration: An experimental approach (titre original)
Phonetic and Phonological Aspects of Civili Vowel Duration: An experimental approach (titre original) H Steve Ndinga-Koumba-Binza To cite this version: H Steve Ndinga-Koumba-Binza. Phonetic and Phonological
Διαβάστε περισσότεραTransformation automatique de la parole - Etude des transformations acoustiques
Transformation automatique de la parole - Etude des transformations acoustiques Larbi Mesbahi To cite this version: Larbi Mesbahi. Transformation automatique de la parole - Etude des transformations acoustiques.
Διαβάστε περισσότεραSegmentation d IRM cérébrales multidimensionnelles par coupe de graphe
Segmentation d IRM cérébrales multidimensionnelles par coupe de graphe Jérémy Lecoeur To cite this version: Jérémy Lecoeur. Segmentation d IRM cérébrales multidimensionnelles par coupe de graphe. Informatique
Διαβάστε περισσότεραDebashish Sahay. To cite this version: HAL Id: tel
Identification of genes activated and biological markers involved in lysophosphatidic acid (LPA)-induced breast cancer metastasis through its receptor LPA1 Debashish Sahay To cite this version: Debashish
Διαβάστε περισσότεραRéalisation et identification de systèmes bilinéaires homogènes
Réalisation et identification de systèmes bilinéaires homogènes Gibran Etcheverry To cite this version: Gibran Etcheverry. Réalisation et identification de systèmes bilinéaires homogènes. Automatique /
Διαβάστε περισσότεραMicrocredit: an answer to the gender problem in funding?
Microcredit: an answer to the gender problem in funding? Sophie Brana To cite this version: Sophie Brana. Microcredit: an answer to the gender problem in funding?. CR10/EFI08. 2008. HL Id:
Διαβάστε περισσότεραMohamed-Salem Louly. To cite this version: HAL Id: tel https://tel.archives-ouvertes.fr/tel
Deux modèles matématiques de l évolution d un bassin sédimentaire. Pénomènes d érosion-sédimentation-transport en géologie. Application en prospection pétrolière Moamed-Salem Louly To cite tis version:
Διαβάστε περισσότεραInteraction hydrodynamique entre deux vésicules dans un cisaillement simple
Interaction hydrodynamique entre deux vésicules dans un cisaillement simple Pierre-Yves Gires To cite this version: Pierre-Yves Gires. Interaction hydrodynamique entre deux vésicules dans un cisaillement
Διαβάστε περισσότεραEtude et Mesure de Paramètres Pertinents Dans Un écoulement Réactif Application Au Refroidissement Par Endo-carburant d Un Super-statoréacteur
Etude et Mesure de Paramètres Pertinents Dans Un écoulement Réactif Application Au Refroidissement Par Endo-carburant d Un Super-statoréacteur Nicolas Gascoin To cite this version: Nicolas Gascoin. Etude
Διαβάστε περισσότεραPierre Grandemange. To cite this version: HAL Id: tel https://tel.archives-ouvertes.fr/tel
Piégeage et accumulation de positons issus d un faisceau pulsé produit par un accélérateur pour l étude de l interaction gravitationnelle de l antimatière Pierre Grandemange To cite this version: Pierre
Διαβάστε περισσότερα2. Laser Specifications 2 1 Specifications IK4301R D IK4401R D IK4601R E IK4101R F. Linear Linear Linear Linear
2. Laser Specifications 2 1 Specifications IK4301R D IK4401R D IK4601R E IK4101R F 441.6 441.6 441.6 441.6 30 50 70 100 TEM00 TEM00 TEM00 TEM00 BEAM DIAMETER ( 1/e2) 1.1 1.1 1.2 1.2 0.5 0.5 0.5 0.4 RATIO
Διαβάστε περισσότεραM p f(p, q) = (p + q) O(1)
l k M = E, I S = {S,..., S t } E S i = p i {,..., t} S S q S Y E q X S X Y = X Y I X S X Y = X Y I S q S q q p+q p q S q p i O q S pq p i O S 2 p q q p+q p q p+q p fp, q AM S O fp, q p + q p p+q p AM
Διαβάστε περισσότεραa,b a f a = , , r = = r = T
!" #$%" &' &$%( % ) *+, -./01/ 234 5 0462. 4-7 8 74-9:;:; < =>?@ABC>D E E F GF F H I E JKI L H F I F HMN E O HPQH I RE F S TH FH I U Q E VF E WXY=Z M [ PQ \ TE K JMEPQ EEH I VF F E F GF ]EEI FHPQ HI E
Διαβάστε περισσότεραΚΕ-ΓΛΩ-21 Αξιολόγηση δεξιοτήτων επικοινωνίας στις ξένες γλώσσες. KE-GLO-21 Évaluation des compétences de communication en langue étrangère
ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΑΝΟΙΧΤΑ ΑΚΑΔΗΜΑΙΚΑ ΜΑΘΗΜΑΤΑ ΚΕ-ΓΛΩ-21 Αξιολόγηση δεξιοτήτων επικοινωνίας στις ξένες γλώσσες KE-GLO-21 Évaluation des compétences de communication en langue étrangère
Διαβάστε περισσότεραArchitectures des Accélérateurs de Traitement Flexibles pour les Systèmes sur Puce
Architectures des Accélérateurs de Traitement Flexibles pour les Systèmes sur Puce Pascal Benoit To cite this version: Pascal Benoit. Architectures des Accélérateurs de Traitement Flexibles pour les Systèmes
Διαβάστε περισσότεραQ π (/) ^ ^ ^ Η φ. <f) c>o. ^ ο. ö ê ω Q. Ο. o 'c. _o _) o U 03. ,,, ω ^ ^ -g'^ ο 0) f ο. Ε. ιη ο Φ. ο 0) κ. ο 03.,Ο. g 2< οο"" ο φ.
II 4»» «i p û»7'' s V -Ζ G -7 y 1 X s? ' (/) Ζ L. - =! i- Ζ ) Η f) " i L. Û - 1 1 Ι û ( - " - ' t - ' t/î " ι-8. Ι -. : wî ' j 1 Τ J en " il-' - - ö ê., t= ' -; '9 ',,, ) Τ '.,/,. - ϊζ L - (- - s.1 ai
Διαβάστε περισσότεραParts Manual. Trio Mobile Surgery Platform. Model 1033
Trio Mobile Surgery Platform Model 1033 Parts Manual For parts or technical assistance: Pour pièces de service ou assistance technique : Für Teile oder technische Unterstützung Anruf: Voor delen of technische
Διαβάστε περισσότεραΣΥΝΔΕΣΜΟΣ ΣΙΦΝΑΪΚΩΝ ΜΕΛΕΤΩΝ ΠΡΑΚΤΙΚΑ Β ΔΙΕΘΝΟΥΣ ΣΙΦΝΑΪΚΟΥ ΣΥΜΠΟΣΙΟΥ ΣΙΦΝΟΣ 27-30 ΙΟΥΝΙΟΥ 2002 ΕΙΣ ΜΝΗΜΗΝ ΝΙΚΟΛΑΟΥ ΒΕΡΝΙΚΟΥ - ΕΥΓΕΝΙΔΗ
ΣΥΝΔΕΣΜΟΣ ΣΙΦΝΑΪΚΩΝ ΜΕΛΕΤΩΝ ΠΡΑΚΤΙΚΑ Β ΔΙΕΘΝΟΥΣ ΣΙΦΝΑΪΚΟΥ ΣΥΜΠΟΣΙΟΥ ΣΙΦΝΟΣ 27-30 ΙΟΥΝΙΟΥ 2002 ΕΙΣ ΜΝΗΜΗΝ ΝΙΚΟΛΑΟΥ ΒΕΡΝΙΚΟΥ - ΕΥΓΕΝΙΔΗ ΤΟΜΟΣ Β ΒΥΖΑΝΤΙΟ ΦΡΑΓΚΟΚΡΑΤΙΑ ΤΟΥΡΚΟΚΡΑΤΙΑ ΝΕΟΤΕΡΟΙ ΧΡΟΝΟΙ ΑΘΗΝΑ 2005
Διαβάστε περισσότεραP ƒ. μ μ², Œ.. ˆ μ,.. μ ± Î Š Ÿ ˆ Œ ˆŸ ˆ Ÿ Š ˆ. ² μ Ê ² μ Ò É Ì ± Ô± ³ É.
P13-2011-120. ƒ. μ μ², Œ.. ˆ μ,.. μ ± Î Š Ÿ ˆ Œ ˆŸ ˆ Ÿ Š ˆ ² μ Ê ² μ Ò É Ì ± Ô± ³ É E-mail: sobolev@nrmail.jinr.ru μ μ². ƒ., ˆ μ Œ.., μ ± Î.. P13-2011-120 É μ ± ²Ö ³ Ö μ² ÒÌ Î Ö ÒÌ ±Í Ò É Ö Ô± ³ É ²Ó Ö
Διαβάστε περισσότερα<< 3; -. ; ; ; C? 1 1 B C 4 4 C?. B B; ;? 9= 2 C? 1 1 C 4 4 C?. B
! "! #! $ % & ' (# # ) " * +, (! + $ % % # #! -.! # # # / 0 + 1 12 3. 4 5 2 677 8 9 -: ; < = 49 => ==: 4? @9 : 4? ; A 4 B 4 C? =
Διαβάστε περισσότερα. Το CD περιέχει επίσης τα κείµενα των ιστοριών και τις εικόνες µε ασπρόµαυρα σχέδια για να τις χρωµατίσουν τα παιδιά. χρήσης του CD.
Ref O U R m ` d c de i a` _ ^] \[X Z YX WV kj { xyz V } o p b e k d u R ~ O ~ U U } b y a k o { a r ih p g x h v k i o b a` _ r hgkj se k ƒv h o { k se d s oe gk gf c i g s dk zr Uƒl v ` i e`fgh v fg v
Διαβάστε περισσότεραX Y 5 Z 2404 [0\0 234 ] = \ ] Y^\_ 054 ] ` 0_\04 4 a = ] 8 b 8b 8 c d X e e \0] 4 `4Z e \ 5023 f \ 5 g h i] 50] 5 `0 4 j k lmn l m
!" # $ % % & "# ' ( " & ) ' ' * "!"'+,, + - "!"'.!& +!, / 01 234 53 67 899 86: ; < 0 4 2 = >? @ A B C D E D C F A GHII DCAFJ HH K F I B HIL F KH D MND K BO I ADPD KH L F KGHG FAF E HQHL BRS FADS FA H ND
Διαβάστε περισσότεραDOCUMENTS DE TRAVAIL / WORKING PAPERS
DOCUMENTS DE TRAVAIL / WORKING PAPERS 2017-66 How shifting investment towards low-carbon sectors impacts employment: three determinants under scrutiny Quentin Perrier 1, *, Philippe Quirion 1,2 September
Διαβάστε περισσότεραCOURBES EN POLAIRE. I - Définition
Y I - Définition COURBES EN POLAIRE On dit qu une courbe Γ admet l équation polaire ρ=f (θ), si et seulement si Γ est l ensemble des points M du plan tels que : OM= ρ u = f(θ) u(θ) Γ peut être considérée
Διαβάστε περισσότεραDimitris Ginosatis. HAL Id: hal https://hal.archives-ouvertes.fr/hal v2
ηχαν η [Γ]ραφ Dimitris Ginosatis To cite this version: Dimitris Ginosatis. ηχαν η [Γ]ραφ. Contemporary art exhibition catalogue (Gallery 7, Athens, Greece). 2009. HAL Id: hal-01396399
Διαβάστε περισσότερα!! " &' ': " /.., c #$% & - & ' ()",..., * +,.. * ' + * - - * ()",...(.
..,.. 00 !!.6 7 " 57 +: #$% & - & ' ()",..., * +,.. * ' + * - - * ()",.....(. 8.. &' ': " /..,... :, 00. c. " *+ ' * ' * +' * - * «/'» ' - &, $%' * *& 300.65 «, + *'». 3000400- -00 3-00.6, 006 3 4.!"#"$
Διαβάστε περισσότεραˆ ˆŠ Œ ˆ ˆ Œ ƒ Ÿ Ä ƒ ² ± Ñ Ò É ÉÊÉ Ô É Î ± Ì Ö ÒÌ ² μ Å μ Ò Í μ ²Ó μ ± ³ ʱ ²μ Ê, Œ ±
ˆ ˆŠ Œ ˆ ˆ Œ ƒ Ÿ 017.. 48.. 6.. 934Ä940 ˆ Š Ÿ Š ˆ ˆ ˆ ˆ ƒ Ÿ.. ƒ ² ± Ñ Ò É ÉÊÉ Ô É Î ± Ì Ö ÒÌ ² μ Å μ Ò Í μ ²Ó μ ± ³ ʱ ²μ Ê, Œ ± μ μ Ò ÕÉ Ö μ ³μ μ ÉÓ ±ÉÊ ²Ó μ ÉÓ É μ É ²Ó É É μ μ É ±- Éμ Ö μ³ ²μ Ê ±μ.
Διαβάστε περισσότεραÓ³ Ÿ , º 5(147).. 777Ä786. Œ ˆŠ ˆ ˆ Š ƒ Š ˆŒ. ˆ.. Š Öαμ,. ˆ. ÕÉÕ ±μ,.. ²Ö. Ñ Ò É ÉÊÉ Ö ÒÌ ² μ, Ê
Ó³ Ÿ. 2008.. 5, º 5(147).. 777Ä786 Œ ˆŠ ˆ ˆ Š ƒ Š ˆŒ ˆŒˆ Šˆ Œ Š ƒ ˆŒ œ ƒ - Ÿ ˆ.. Š Öαμ,. ˆ. ÕÉÕ ±μ,.. ²Ö Ñ Ò É ÉÊÉ Ö ÒÌ ² μ, Ê μ± μ, ÎÉμ ² ³ Ö Éμ³ μ-ô³ μ μ μ ±É μ³ É μ Ìμ É μ μ ³μ² ±Ê² CN CO 2 N 2. ±
Διαβάστε περισσότεραΗΛΙΑΣΚΟΣ ΦΡΟΝΤΙΣΤΗΡΙΑ. Γενικής Παιδείας Άλγεβρα Β Λυκείου ΥΠΗΡΕΣΙΕΣ ΠΑΙΔΕΙΑΣ ΥΨΗΛΟΥ ΕΠΙΠΕΔΟΥ. Επιμέλεια: Γ. ΦΩΤΟΠΟΥΛΟΣ Σ. ΗΛΙΑΣΚΟΣ
ΗΛΙΑΣΚΟΣ ΦΡΟΝΤΙΣΤΗΡΙΑ ΥΠΗΡΕΣΙΕΣ ΠΑΙΔΕΙΑΣ ΥΨΗΛΟΥ ΕΠΙΠΕΔΟΥ Γενικής Παιδείας Άλγεβρα Β Λυκείου Επιμέλεια: Γ. ΦΩΤΟΠΟΥΛΟΣ Σ. ΗΛΙΑΣΚΟΣ e-mail: info@iliaskos.gr www.iliaskos.gr ΗΛΙΑΣΚΟΣ ΦΡΟΝΤΙΣΤΗΡΙΑ. y y 4 y
Διαβάστε περισσότεραThis is an electronic reprint of the original article. This reprint may differ from the original in pagination and typographic detail.
This is an electronic reprint of the original article. This reprint may differ from the original in pagination and typographic detail. Author(s): Chasandra, Mary; Tsiaousi, Louisa; Zisi, Vasiliki; Karatzaferi,
Διαβάστε περισσότεραŁs t r t rs tø r P r s tø PrØ rø rs tø P r s r t t r s t Ø t q s P r s tr. 2stŁ s q t q s t rt r s t s t ss s Ø r s t r t. Łs t r t t Ø t q s
Łs t r t rs tø r P r s tø PrØ rø rs tø P r s r t t r s t Ø t q s P r s tr st t t t Ø t q s ss P r s P 2stŁ s q t q s t rt r s t s t ss s Ø r s t r t P r røs r Łs t r t t Ø t q s r Ø r t t r t q t rs tø
Διαβάστε περισσότεραLes homélies de Jean Chrysostome In principium Actorum (CPG 4371) : projet d édition critique, traduction et commentaire
Les homélies de Jean Chrysostome In principium Actorum (CPG 4371) : projet d édition critique, traduction et commentaire Marie-Eve Geiger To cite this version: Marie-Eve Geiger. Les homélies de Jean Chrysostome
Διαβάστε περισσότερατο περιεχόµενο των οποίων είναι διανεµηµένο µε τον εξής τρόπο: : κάθε πίστα περιέχει
EL Ref. 20620 %$ #"! $,+ *$ ' ' )( '& 4. 3: 046 2 4. 32 1. 0. @ 0.. A A0 ON B D CS SPN R NR KJ A G D R QDC ONR H PC KJ L MN \ [ Z RV RP N S H S A A. 0@ 2 :. ; KJ ^ N \ CV W]P E ] 8 6 2 0 3 6 X _ Z R N
Διαβάστε περισσότεραWestfalia Bedienungsanleitung. Nr
Westfalia Bedienungsanleitung Nr. 108230 Erich Schäfer KG Tel. 02737/5010 Seite 1/8 RATED VALUES STARTING VALUES EFF 2 MOTOR OUTPUT SPEED CURRENT MOMENT CURRENT TORQUE TYPE I A / I N M A / M N Mk/ Mn %
Διαβάστε περισσότερα! "# $ % $&'& () *+ (,-. / 0 1(,21(,*) (3 4 5 "$ 6, ::: ;"<$& = = 7 + > + 5 $?"# 46(A *( / A 6 ( 1,*1 B"',CD77E *+ *),*,*) F? $G'& 0/ (,.
! " #$%&'()' *('+$,&'-. /0 1$23(/%/4. 1$)('%%'($( )/,)$5)/6%6 7$85,-9$(- /0 :/986-$, ;2'$(2$ 1'$-/-$)('')5( /&5&-/ 5(< =(4'($$,'(4 1$%$2/996('25-'/(& ;/0->5,$ 1'$-/%'')$(($/3?$%9'&-/?$( 5(< @6%-'9$
Διαβάστε περισσότερα