From d31be79de69d9af9371a3b1fcb3df81246c5928a Mon Sep 17 00:00:00 2001 From: couchot Date: Fri, 6 Jan 2017 17:27:44 +0100 Subject: [PATCH] ajout du dossier talk --- talk/#assync.tex# | 31 + talk/#problematique5.tex# | 24 + talk/Hexagones.jpg | Bin 0 -> 31034 bytes talk/I03_couchot.pdf | Bin 0 -> 533785 bytes ...r_congruential_generator_visualisation.svg | 617 +++++ talk/asynchrone.tex | 26 + talk/attracteurs.tex | 46 + talk/beamerthemefemto.sty | 249 ++ talk/conclusion.tex | 25 + talk/couchot.pdf | Bin 0 -> 367155 bytes talk/ctx.tex | 19 + talk/faig2.pdf | Bin 0 -> 10929 bytes talk/faig3.pdf | Bin 0 -> 10955 bytes talk/fgig2.pdf | Bin 0 -> 11499 bytes talk/fgig3.pdf | Bin 0 -> 11528 bytes talk/figreg-eps-converted-to.pdf | Bin 0 -> 7748 bytes talk/figreg.eps | 601 +++++ talk/figreg.ladot | 32 + talk/figreg.ps | 601 +++++ talk/figreg.tex | 11 + talk/fsig2.pdf | Bin 0 -> 10216 bytes talk/fsig3.pdf | Bin 0 -> 10224 bytes talk/gcldef.tex | 27 + talk/gcldef.tex.bak | 27 + talk/gclth1.tex | 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mode 100644 talk/synchronisons.tex create mode 100644 talk/wsn.png create mode 100644 talk/xplsddasync.tex diff --git a/talk/#assync.tex# b/talk/#assync.tex# new file mode 100644 index 0000000..b5a9dd5 --- /dev/null +++ b/talk/#assync.tex# @@ -0,0 +1,31 @@ +\begin{itemize} +\item Calculs effectués sur chaque n{\oe}ud: réécriture de +$$ +w_l^{(k+1)} = w_l^{(k+1)} + \theta^{(k)}. \left( \sum_{i \in N} a_{il}.q_i^{(k)} \right) +$$ +\item Conditions pour la convergence asynchrone du calcul\footnote{Nedić, A., Bertsekas, D. P., \& Borkar, V. S. (2001). Distributed asynchronous incremental subgradient methods. Studies in Computational Mathematics, 8, 381-407.} +\begin{itemize} +\item Majoration des sous-gradients par une constante $C$ +\item $\theta$: sous la forme $\omega / t^{q}$ avec $3/4 < q \leq 1$ + \end{itemize} +\item Premières expérimentations: +\begin{itemize} +\item Pour chaque variable $X$ à modifier: + $X^{k+1} = f(X^{k}) if \textit{random()}B-;7)=E*FbO!GB`811cC*3CqU3)a0Y@C2o@Lug9LXU zAb9XIxu5%azdBW?>N{so)%vsc?A_ga^;+FmU;XgwVFf^|X!#v;> z02>nv8w(Q~8w(o;2OAfk1Roy{5C1U{F#*Yw$5d2L9#c|2rDJ7yO2bS`Ny*5~$jrvh z!O20*z{AJ$oR9T6$Me4rLBqkp!NW_ZtU3t*9UTn~6AKpy6Bi2u6Lljx0D}~h>>0lt z7P+>2=wl`UK}(OMI_#G^x}H7b%<_fxEJClWKP0dI#-Xrk`1abX2vF$a7}ywi|4yT!V_;&DJ|olSm$Srv=^k3wL;iS` zf{9tc<3r*2?}s@60R~EXQVddn4B$?el!TNN?f-WmCmN1<`-?N4B^M1t09Fz*x$7Y- zp>*|Trn*_X?M)lS-F`yiw!q7m6jF}oRSTw<1qm;3DQS_#q=R-I+;vDXk2kFxle(!& z`won;Vy78kS22b0#MKA_bO~nQGe&sPQX%>K%_z(eb{@UDZy(;YKJVyOFI1NWsQNkk zU*RfpPO_&j@A`55=rlSBM+Tn^-bQMW;3FWGJ(H`QlDBr^^NkMxBRXKPPngdUL*_@d 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statistiques, en probabilité, en simulation numérique. +\end{itemize} +\end{exampleblock} + +\begin{exampleblock}{Génération} +\begin{itemize} +\item Réellement aléatoire: processus physique $\leadsto$ non reproductible. +\item Pseudo-aléatoire (PRNG): algorithme $\leadsto$ reproductible, quid de la sécurité? +\end{itemize} +\end{exampleblock} + +\begin{alertblock}{Problématique} +Les systèmes dynamiques sont-ils un bon outil mathématique pour +générer des nombres pseudo-aléatoires? +Quelles sont les qualités minimums d'un PRNG? +\end{alertblock} diff --git a/talk/faig2.pdf b/talk/faig2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..1d0c10f45fb7b0800c047d2c6ace706c3fbb2823 GIT binary patch literal 10929 zcma)i1ymf{vNjehB)HoUG`MSUcXtRn3~qyaaMwT}xCep-cbDM7-QC^oL5|#W?|uLJ zU(ZbUR87^cUA1?2&060_t{@^t$3)MDNM3bNa)-zQU-T7w)+0j$p| zB}4!Kz#wL3=>W8UzFHbM07ZaCHpW0iK0ZXSgFVo|3ehDcUPCsFfCHszPyL*UtEgzS zrUaTq|7TmT(A(}H6i}1@j8CfYqu0my@mRO|tqz=olF_|b72S*7h?YX+e)Wx2!!SJp 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+\begin{equation} +\tag{1} +\left\{ +\begin{array}{l} +\textrm{$x_0 \in \Nats$ t.q. $0 \le x_0 \le m-1$}\\ +x_i = a \times x_{i-1} +c \mod m. +\end{array} +\right. +\label{eq:glc} +\end{equation} +est un \emph{générateur congruentiel linéaire} +de \emph{graine} $x_0$. +\end{definition} + +\vspace{-2em} +\begin{center} +\includegraphics[scale=0.2]{lcgexemple.png} +\end{center} + +\vspace{-2em} +\begin{itemize} +\item \alert<1> {Bien choisir $m$, $a$, $c$ et $x_0$: primordial!} +\end{itemize} diff --git a/talk/gcldef.tex.bak b/talk/gcldef.tex.bak new file mode 100644 index 0000000..b000cd6 --- /dev/null +++ b/talk/gcldef.tex.bak @@ -0,0 +1,27 @@ +\begin{definition}[]%[Générateur congruentiel linéaire] +Pour $m$, $a$, $c \in \Nats$ t.q. $m \ge a,c$. +La suite d'entiers + +\begin{equation} +\tag{1} +\left\{ +\begin{array}{l} +\textrm{$x_0 \in \Nats$ t.q. $0 \le x_0 \le m-1$}\\ +x_i = a \times x_{i-1} +c \mod m. +\end{array} +\right. +\label{eq:glc} +\end{equation} +est un \emph{générateur congruentiel linéaire} +de \emph{graine} $x_0$. +\end{definition} + +\vspace{-2em} +\begin{center} +\includegraphics[scale=0.2]{lcgexemple.png} +\end{center} + +\vspace{-2em} +\begin{itemize} +\item \alert<1> {Bien choisir $m$, $a$, $c$ et $x_0$: primoridial!} +\end{itemize} diff --git a/talk/gclth1.tex b/talk/gclth1.tex new file mode 100644 index 0000000..4652f6e --- /dev/null +++ b/talk/gclth1.tex @@ -0,0 +1,21 @@ +\begin{theorem}[Théorème 1: Hull \& Dobell 1962]\label{theo:hull:dobell} +La période de la suite produite par le générateur congruentiel linéaire est $m$ si %et seulement si +\begin{enumerate} +\item\label{item:gcl:c1} $c$ et $m$: premiers entre eux, +\item\label{item:gcl:c2} $a \equiv 1 \mod p$ pour chaque facteur premier $p$ de $m$ et +\item\label{item:gcl:c3} $a \equiv 1 \mod 4$ si $4$ divise $m$. +\end{enumerate} +\end{theorem} + +\begin{exampleblock}{Analyse de l'exemple de la Figure~1} +On a $m=180$, $a=61$ et $c=7$. Or $m=180 = 2^2 \times 3^2 \times 5$. +\begin{enumerate} +\item $c$ et $m$: premiers entre eux, +\item $61 \equiv 1 \mod 2$, $61 \equiv 1 \mod 3$, $61 \equiv 1 \mod 5$ et +\item $61 \equiv 1 \mod 4$. +\end{enumerate} +La période d'un tel générateur est donc maximale. +\end{exampleblock} + + + diff --git a/talk/gclth1demo.tex b/talk/gclth1demo.tex new file mode 100644 index 0000000..09d708d --- /dev/null +++ b/talk/gclth1demo.tex @@ -0,0 +1,46 @@ +% \only<1>{ +% \begin{theorem}[Théorème 1: Hull \& Dobell 1962] +% La période de la suite produite par le générateur congruentiel linéaire est $m$ si %et seulement si +% \begin{enumerate} +% \item\label{item:gcl:c1} $c$ et $m$: premiers entre eux, +% \item\label{item:gcl:c2} $a \equiv 1 \mod p$ pour chaque facteur premier $p$ de $m$ et +% \item\label{item:gcl:c3} $a \equiv 1 \mod 4$ si $4$ divise $m$. +% \end{enumerate} +% \end{theorem} +% } + +\begin{theorem}[]%[Théorème 1: Hull \& Dobell 1962]\label{theo:hull:dobell} +La période de la suite produite par le générateur congruentiel linéaire est $m$ si %et seulement si +\begin{enumerate} +\item\label{item:gcl:c1} $c$ et $m$: premiers entre eux, +\item\label{item:gcl:c2} $a \equiv 1 \mod p$ pour chaque facteur premier $p$ de $m$ et +\item\label{item:gcl:c3} $a \equiv 1 \mod 4$ si $4$ divise $m$. +\end{enumerate} +\end{theorem} + + +\begin{enumerate} +\item {\sc Lemme}~1 $\Rightarrow$ la période est l'entier $n$ minimum qui établit +\begin{equation} +\tag{4} +\frac{a^n-1}{a-1}\equiv 0 \mod m. +\end{equation} + +\item \textbf{Cas $n=m = p^{\alpha}$, $p$ premier et $\alpha \geq 2$} ({\sc Lemme}~2): +\begin{enumerate} +\item binôme de Newton pour réécrire $a^n$; +\item analyse de $\frac{p^{\alpha}}{j}$ dans $(6)$ $\leadsto$ (4) établie. +\end{enumerate} +\item \textbf{Cas $n{ +% \begin{theorem}[Théorème 1: Hull \& Dobell 1962] +% La période de la suite produite par le générateur congruentiel linéaire est $m$ si %et seulement si +% \begin{enumerate} +% \item\label{item:gcl:c1} $c$ et $m$: premiers entre eux, +% \item\label{item:gcl:c2} $a \equiv 1 \mod p$ pour chaque facteur premier $p$ de $m$ et +% \item\label{item:gcl:c3} $a \equiv 1 \mod 4$ si $4$ divise $m$. +% \end{enumerate} +% \end{theorem} +% } + +\begin{theorem}[Théorème 3] +Soit $m$ un nombre premier. On peut toujours trouver $a$ d'ordre $m-1$, +$1 \le a \le m-1$. +\end{theorem} + + + +\begin{enumerate} +\item {\sc Lemme}~1 $\Rightarrow$ recherche de l'entier $n$ minimum qui établit +\begin{equation} +\tag{4} +\frac{a^n-1}{a-1}\equiv 0 \mod m. +\end{equation} + +\item \textbf{Cas $n=m = p^{\alpha}$, $p$ premier et $\alpha \geq 2$} ({\sc Lemme}~2): +\begin{enumerate} +\item binôme de Newton pour réécrire $a^n$; +\item analyse de $\frac{p^{\alpha}}{j}$ dans $(6)$ $\leadsto$ (4) établie. +\end{enumerate} +\item \textbf{Cas $nwD&1NLb_2Hx`iR7yQN!7Vo2$sV?aW>yBp~g0qK%X=?>}c<^z56zIUzf zKEup#{_L~&+50(Xuf=+PlnSEajKJ6INR(gpN^g)@0n7kv19K!^UI5cukd+D86u|Z< zDIoy>048y>4`7hpS;^#-Q2it-4Es>m4V%21eh$PS(hRPCF-QYs= z-I~h$(V5rYYeo1Rk#>7>h%>$4h-gkPTzEwrSM2O3$n$NMbxc`DwNY>0;$b{@8-!A( zdM8)tPd5O$*?c&Ja2?%x+^p%{65QoCTl?|XZC<&Z5M@2I4$$}Ct}HZO07V~KrB0h~ zBKh+8Pi7=76)kM&xJZG+~Wq(`FNp)K+fW4Q#^hqf4A1HL(GB$lApC}DfAa1sCl{e- zuF5~bxm-y^dRt6pv%4WAqtRKabF|~E zYUH4qazic0B-)oA%AyQ?9dn0ERo{|M?T840%-@Kw(UzSrmPnjNNgTto@S7H!uThEg zamss7Sfr=TX)R*084BYlQRyt$uOh_KDqe2v;=xv8yUHSUSszV1l5?H6G>a;Iq)JHp-ch@9WJ091Q>G)o{X;wxe6R47s zz+g@mFAv(6bl!4zbiu5G+=0TT-pcRx5s=yS$Z`!FzJ)Ak)R=?XQ%XS5C_}?m6d~C} zW$%?;7}#QsiVMFGh1zGw#L_VvOaiE&St=^*$W?HPq(xQU3RMV-YJ3BMQCOalo2?+| z=XQ1;W&yIZ8&_bo(}aP#da~bwr@Gx)g~x7-ir1OO?zFUdU1lKR!OF`>;0gGaPcjHl zf+bncmMUwYeCMp7S@vEk2B-FYfU%(SGIoUSD%M$YUC>$c9vkXWIrT!k!e z?$m2ZbwmcdAi2VXhSEICcFBW_PME8lHJ%CdKD6kOnM)7Aa1aYUM!0yKOqF=tjx>oU zgfuC|saP(YP=^CzP9h&6$m4O*+=j7*pf zNlti;p8IlT^UeCf@_tAlE2BSpz~gUE-Q%fcJbgbl4Ind+^U2_8$nsZn`PELuoWT;x z;Kx=1;N^W19xo<+=EnhmNkj+$1TY!uKYl(on8!c-{$vujwgUgd+L)1MXl@U9>W#k}p@f~agUvtI@!S6|_0L3X>woLdPhoyH zav%W6#?JLCrQZSzfa47_@E-yzfSrx~UmbnV)kHR52&5;1l4w>tNZPAWqT1T< z=lBwr5G23~%g5~D^XDehkWX~kOX&UV88EHdCiqizFhQj?Pyi&aPNUY9$`uwbn&%W} z2ZC_YxaC5m#euak7?Nl)jU}(daW8i;m)L)>u4AF2-x5Lhb$3He5I-10;k=nym>^iX z|J1_14eulhNL?Dl=MuakbOcv_f~g53mgHfB@@`!!UnCSqm#Br!Fg`F17bTm6(gig^ z3bpZ&aO>}*04p&2?WxP3cjE3PZ~0i*;d*iJC71xTia@VPR3D+chMNfG&JBgot(&aoLJti^UUkb5tI=_|=32kKEy?6nYK(Ev> zJiX9~Q<`~f!s{gpfF=qcCq#ADsS<^Z)!3i_pfR8I1b9Q&B11vozhGVI_;@2=-XmNg zpxF9fIp5_j8(PCQ^JBPVl3Lk7`Plj0INzzSq|=iz<9khu0KM4fCKeJmtMcl~H3DvPCUKJb5K_G-aM|2{16iM3eAn9?d(W{ADN-01 zA2|xwJia%hUYe0dH(8odYJpw)n*WmY^Ftb(ZKc!cW%}s7RxR*$sPS5$$Lu{|a-N2J zmiyjq%`1TK-M~G;%RGy4@0q*48VIKUAoH8vkp+U%V8Pi3&u}Q=_vo7t>KD7anW%#{ zY}Yf>5E~nlDFJKxtZfvrmfciKXhlRRsE@)zya9rf{@Ae*Pz^0DXW}0PZVZ{A$l3;< z_d6hYfjcjuCf(vUze0D2LSwLD+TDT6mIcslfr4;b&V0emP>6yZ``3uAsSo}}P#C@^ zi(HfAf$!%qAZ4wS7ChLuLje$M6bG@)Qj!M})Q0`_MGK;vor2cop(TZ^=oX#goV~Nz zW+Y6*ytTpVa_4Oa$cXPk0}aUhXUd8#RaS8_iMDg4L8nGZvZK^ylc8&O-MHi1MKh^f zo75o8vJy6k_zx9ThJE{hrObujbIug{5}ux6nm> zUodWe9%kyqtqqzd%=wJ0W$R$a0MNj6Q;PWfRUK3Q?a1-ftX4C53 zHfCX-RTJs+{o3A}=b~co%NTAxi6ca;H%?^V{+OvPuU9&=o%~gG&?y{l9TADR) z8|XQiJQzdUm3)DRv2rnlfw$6UxV0L&L*g|&Lnv~u4I?ArA0gH{$~(WwU>>HLj61%$ zmq?8$z-arXU=oe&WjabwibOeZITSh3*)LPhvOnz*e|Y!=PkJ%$wI3K^F@GiEZOoTT zeqtM?_CjtP`z2c!XXo~>+M$?~KJ*lVT0CSu*zVi*LWj#P2n-P6FXXCrnf*%>aq~nN z^TZw9Ram)8*ny4h3V99hDuq865YlH%=x%bqPmNmeJ;1`zNmO}R19_mbzQ?dP<2b1) z;#CQdxc6FTbMgj9zKc$q|_w>%3LcPXC*){1PWR;~djg}qJT37^M+NJT>u#3&yoVRgh zd>8a=REA?>h*=jyb1stEcc#Hl8BZLhbUwLScxAK>%|S?5;C_>i&DnEvu)Q(}^~2j& zef4{j29Bb`_cm+M66dNVvyJb^P^mxW4sRlD=cq5LL64Oz9P{DBN$@sSyIYnUpRZGw z{haG5$uEVmyJ66XiCgoRZD+75a1K4v(M2>YY138?8*(Jen07OE@QW)hJt|@(a`lmK zJdzLJG&MUxN)~X~{_0eHLZggWjTB_M@b1u~p^c8x(@wAWI1I2oO;@En-{!_)S^V0> zkAUdmBCzY!LmXXMsu0)HA16JkkxhE$iZ{Nj;F2p>q}7yym>n6Y{gdOb4p{;%br=`f-NH4V;o!8IYlLjpb^a?zBk;JZW}`R!y*B>QXbUT3+>Mi zTzC0#o}~=xVSVh!Q3~~SC3Tt{v0V&Jb+tOFP?A90^Rcacy?){QBC4vQ(U`Xwo^z;; zc=2@_;q;-OC&z(Qvr?l?fF#77QX*{>Vm;G9HCGN3A1;9(jxN)7YDlb&`-wST zp3rp!B{|q+-8qUOW2H$#NTNJ5!)8{VfT_nQ^7D4BV;y3pXu8J!XtBne0(cceXyke{ z26Lw1bjflzx)0h!c~&JV{8He8Zw4ICJNP-wm<{`*t{lAijd}Vm>b;S3-TqJ8@~hI= zV%7f2&YZNpXaVZpV~u5G7C}wEabo(_;Ls!29DYgjt(~R#3h9w?mK4{o7@l+N{9lZl z-lqNZBQ70F7gkNjw~N+Yup2l{oz1fjUoUG2)$7l$sKfxXX{kYc&Qg;UwIsHRznFe! 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+ +\bibitem[ABCVS05]{abcvs05} +A.~Abbas, J.~M. Bahi, S.~Contassot-Vivier, and M.~Salomon. +\newblock Mixing synchronism / asynchronism in discrete-state discrete-time + dynamic networks. +\newblock In {\em 4th Int. Conf. on Engineering Applications and Computational + Algorithms, DCDIS'2005}, pages 524--529, Guelph, Canada, July 2005. +\newblock ISSN 1492-8760. + +\bibitem[BCVC10]{BCVC10:ir} +J.~M. Bahi, S.~Contassot-Vivier, and J.-F. Couchot. +\newblock Convergence results of combining synchronism and asynchronism for + discrete-state discrete-time dynamic network. +\newblock Research Report RR2010-02, LIFC - Laboratoire d’{I}nformatique de + l'{U}niversit\'{e} de {F}ranche {C}omt\'{e}, May 2010. + +\bibitem[Cou10]{Cou10:ir} +J.-F. Couchot. +\newblock Formal {C}onvergence {P}roof for {D}iscrete {D}ynamical {S}ystems. +\newblock Research Report RR2010-03, LIFC - Laboratoire d’{I}nformatique de + l'{U}niversit\'{e} de {F}ranche {C}omt\'{e}, May 2010. + +\bibitem[Hol03]{Hol03} +Gerard~J. Holzmann. +\newblock {\em The SPIN Model Checker: Primer and Reference Manual}. +\newblock Addison-Wesley, Pearson Education, 2003. + +\end{thebibliography} diff --git a/talk/main.blg b/talk/main.blg new file mode 100644 index 0000000..cca2e0e --- /dev/null +++ b/talk/main.blg @@ -0,0 +1,47 @@ +This is BibTeX, Version 0.99d (TeX Live 2016/Debian) +Capacity: max_strings=100000, hash_size=100000, hash_prime=85009 +The top-level auxiliary file: main.aux +The style file: alpha.bst +Database file #1: abbrev.bib +Database file #2: biblioand.bib +You've used 4 entries, + 2543 wiz_defined-function locations, + 635 strings with 6070 characters, +and the built_in function-call counts, 1552 in all, are: += -- 153 +> -- 72 +< -- 5 ++ -- 26 +- -- 25 +* -- 104 +:= -- 271 +add.period$ -- 13 +call.type$ -- 4 +change.case$ -- 24 +chr.to.int$ -- 4 +cite$ -- 4 +duplicate$ -- 67 +empty$ -- 104 +format.name$ -- 31 +if$ -- 312 +int.to.chr$ -- 1 +int.to.str$ -- 0 +missing$ -- 3 +newline$ -- 24 +num.names$ -- 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+\headcommand {\sectionentry {6}{Conclusion}{17}{Conclusion}{0}} +\headcommand {\beamer@sectionpages {16}{16}} +\headcommand {\beamer@subsectionpages {16}{16}} +\headcommand {\slideentry {6}{0}{1}{17/17}{}{0}} +\headcommand {\beamer@framepages {17}{17}} +\headcommand {\slideentry {6}{0}{2}{18/18}{}{0}} +\headcommand {\beamer@framepages {18}{18}} +\headcommand {\beamer@partpages {1}{20}} +\headcommand {\beamer@subsectionpages {17}{20}} +\headcommand {\beamer@sectionpages {17}{20}} +\headcommand {\beamer@documentpages {20}} +\headcommand {\def \inserttotalframenumber {18}} diff --git a/talk/main.out b/talk/main.out new file mode 100644 index 0000000..fcdb7bf --- /dev/null +++ b/talk/main.out @@ -0,0 +1,6 @@ +\BOOKMARK [2][]{Outline0.1}{Introduction: iterations de r\351seaux bool\351ens}{}% 1 +\BOOKMARK [2][]{Outline0.2}{R\351seaux bool\351ens: des preuves de convergences}{}% 2 +\BOOKMARK [2][]{Outline0.3}{Des syst\350mes dynamiques discrets au chaos}{}% 3 +\BOOKMARK 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+\begin{figure}[ht] + \begin{center} + \subfloat[$\textsc{gis}(f)$]{ + \begin{minipage}{0.33\textwidth} + \begin{center} + \includegraphics[scale=0.25]{fsig2} + \end{center} + \end{minipage} + \label{fig:fsig} + } + \subfloat[$\textsc{giu}(f)$]{ + \begin{minipage}{0.33\textwidth} + \begin{center} + \includegraphics[scale=0.25]{faig2} + \end{center} + \end{minipage} + \label{fig:faig} + } + \subfloat[$\textsc{gig}(f)$]{ + \begin{minipage}{0.33\textwidth} + \begin{center} + \includegraphics[scale=0.25]{fgig2} + \end{center} + \end{minipage} + \label{fig:fgig} + } + \end{center} + %\caption{} +\end{figure} +\end{exampleblock} +% On remarque le cycle $((101,111),(111,011),(011,101))$ +% à la \textsc{Figure}~(\ref{fig:fsig}). \ No newline at end of file diff --git a/talk/jacobienne.tex b/talk/jacobienne.tex new file mode 100644 index 0000000..b76dbc7 --- /dev/null +++ b/talk/jacobienne.tex @@ -0,0 +1,53 @@ +\begin{itemize} +\item Mat. de $\{-1,0,1\}^{{\mathsf{N}}^2}$ des \og dérivées partielles\fg{} +$f'_{ij}=\dfrac{f_i(\overline{x}^j){-}f_i(x)}{\overline{x_j}{-}x_j}$. +\item Représentée par un \emph{graphe des interactions} orienté: +\begin{itemize} +\item Sommets: $\{1, \ldots, {\mathsf{N}}\}$ +\item Arcs: $j \xrightarrow{s} i$ si $\exists x \in \Bool^{\mathsf{N}}$ tq. + $f'_{ij}(x)=s$, + $s\in\{-1,1\}$ +\end{itemize} +\end{itemize} + +\begin{exampleblock}{Graphes des interractions de +$(x_1, x_2, x_3) \mapsto +((\overline{x_1} + \overline{x_2}).x_3, +x_1.x_3, +x_1 + x_2 + x_3)$.} +\noindent +%\vspace{-2em} +\begin{minipage}{0.6\textwidth} +$ +\arraycolsep=0.1pt\def\arraystretch{0.4} +f' = \left( + \begin{array}{ccc} + \frac{ + (x_1 + \overline{x_2}).x_3 + {-} + (\overline{x_1} + \overline{x_2}).x_3 + }{\overline{x_1}{-}x_1} + & + \frac{ + (\overline{x_1} + x_2).x_3 + {-} + (\overline{x_1} + \overline{x_2}).x_3 + }{\overline{x_2}{-}x_2} + & \dots + \\ +\\ + \frac{\overline{x_1}.x_3 {-} x_1.x_3}{\overline{x_1}{-}x_1} + & 0 & +\dots + \\ +\\ + \frac{(\overline{x_1}+x_2+x_3){-}(x_1+x_2+x_3)}{\overline{x_1}{-}{x_1}} & + \dots & + \dots + \end{array} + \right)$ + \end{minipage} +\begin{minipage}{0.2\textwidth} +\includegraphics[scale=0.4]{gf} +\end{minipage} +\end{exampleblock} diff --git a/talk/lcgexemple.png b/talk/lcgexemple.png new file mode 100644 index 0000000000000000000000000000000000000000..60e388602aa6a2012a9846a8ae09c5752f294c3d GIT binary patch literal 146233 zcmZ^LcR1F4|2LI}b{SDf$WBOQw+PvkQc<$Y3K^$SS0N%1QW@Dh*_+B9A!L+2GqRn? zdS2h_{@u^<`{Q};`?&7wIJ)Wlem~>=ey#WEsj7T=H#H+Q1qH=!dAUpK6ck&dDJV9b z*}fHjvSub$fq!k)yK?yw#Rl=;4@GgW@h3YhNw zdDr37-i?i_2}f8v4*E;7vXd^Pb3W5okt6^6>k3a~W#v3)>)P7hOm-E#_V=IteER0i zn@&zn#@{2|Gy`5u?5Gaghu`Zsh~L966CcYVhu?X~%gO1npH23azyH^y)M5oo%ad>4 zzJ2!W*~vSfDg6EY4+-jRaV*l|xq?s9SJ_@2hQI1RkAM$;et?}V`cj^4?`KLKhap-< z5z|ZO&QZk1#=4u`xN+mu{Z?%B1Pp@VECGQL?+M!?^Zi$vbncHeb1N zB_t$d*GBlecM67v$H`N8D$P~W?EZ}}t#sh|6GSXh0m();WAHrz%HVKS+0(wPqiDts73OleBp 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z93yC6EMx>J`wNu=1sWGt)<`R|0WFd^EVbhK)BS$pCeL}U^Cs`zd$w~#ZZ{`wh=s~| z_BE4@SS%p~&S49W_cnPYPL+UbB1#GbxW<@{Y$gz_h3Qy2Y~~s;ZDt!xh8U0448Tr+ zZtUPjSJ;}+uoNgy*7Zz2mQGAAIIsVV!En{W7F3qj5MEWr;i5BEZP1Fq1uM)5&210}FR-^EKD(NHA=liRb5L6vPJQEu zM{~~CTZ+8_m_vk~O(d5r%x^tvMiEiRke01su!D@EZiD`+K^`Ui?Wze|yHNgPL6Bn= z9)JIrP0N(R&)NJG+5bF9{y~J$CLEs$iZ}2%_EqsV;DuGtHnca~x7~MtPJMmduffE) zwki5gxG`p{77R*!RKKPLEkeMfVGtWa_^1JPqm}|Efk~P{X$*C*hFATv`dPE`k%!0! ze09_hQ^!p?yTT zIAq*U>kq}=tCy@i%64wcGTmPEhMqQ=kN=i(b%;NKmQ^y< + + Linear congruential generator visualisation + Visualisation of generation of pseudo-random numbers in [0, 8] using a linear congruential generator by CMG Lee. The top two rows show a generator with m = 0, a = 2 and c = 0 outputting numbers from left to right. A seed of 1 gives a cycle length of 6 but a seed of 3 gives a cycle length of only 2. Using a = 4 and c = 1 (bottom row) gives a full cycle length of 9 with any seed. + + + + + + + + 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + + + + + + + seed = 1 + + + + + + output 2 + + + 1 + + + + + 2 + + + + + + + + output 4 + + + 1 + + + + + 2 + + + + + + + + output 8 + + + 1 + + + + + 2 + + + + + + + + output 7 + + + 1 + + + + + 2 + + + + + + + + output 5 + + + 1 + + + + + 2 + + + + + + + + output 1 + + + 1 + + + + + 2 + + + + + + + m= 9 + a= 2 + c= 0 + + + + + + seed = 3 + + + + + + output 6 + + + 1 + + + + + 2 + + + + + + + + output 3 + + + 1 + + + + + 2 + + + + + + + m= 9 + a= 2 + c= 0 + + + + + + seed = 0 + + + + + + output 1 + + + + + + + + + + + + + + + + + + + c + + + + + + + + output 5 + + + 1 + + + + + 2 + + + + + 3 + + + + + 4 + + + + + c + + + + + + + + output 3 + + + 1 + + + + + 2 + + + + + 3 + + + + + 4 + + + + + c + + + + + + + + output 4 + + + 1 + + + + + 2 + + + + + 3 + + + + + 4 + + + + + c + + + + + + + + output 8 + + + 1 + + + + + 2 + + + + + 3 + + + + + 4 + + + + + c + + + + + + + + output 6 + + + 1 + + + + + 2 + + + + + 3 + + + + + 4 + + + + + c + + + + + + + + output 7 + + + 1 + + + + + 2 + + + + + 3 + + + + + 4 + + + + + c + + + + + + + + output 2 + + + 1 + + + + + 2 + + + + + 3 + + + + + 4 + + + + + c + + + + + + + + output 0 + + + 1 + + + + + 2 + + + + + 3 + + + + + 4 + + + + + c + + + + + + + m= 9 + a= 4 + c= 1 + + + + + + + diff --git a/talk/asynchrone.tex b/talk/asynchrone.tex new file mode 100644 index 0000000..3a83f7e --- /dev/null +++ b/talk/asynchrone.tex @@ -0,0 +1,26 @@ +\begin{itemize} + \item Deux modes: +\begin{itemize} + \item + \emph{synchrone}: chaque élément attend la valeur des élements dont il dépend; + \item + \emph{asynchrone}: chaque élément met à jour sa valeur sans attendre. + \end{itemize} + +\item $(D^{t})^{t \in \Nats}$: suite de matrices de taille $\mathsf{N} \times \mathsf{N}$ t.q. + $$ + D_{ij}^{t} =\textrm{ date où $x_j$ est disponible au composant $i$} +$$ + + +\item $x^{t+1}_i= \left\{ + \begin{array}{l} + f_i( x_1^{D_{i1}^t},\ldots, x_{\mathsf{N}}^{D_{i{\mathsf{N}}}^t}) + \textrm{ si } i \in s^t\\ + x^{t}_i \textrm{ sinon } + \end{array} + \right.$ + + +%\item Délai : $\delta_{ij}^t = t - D_{ij}^{t} \le \delta_0\, \forall i, j$ +\end{itemize} diff --git a/talk/attracteurs.tex b/talk/attracteurs.tex new file mode 100644 index 0000000..edc0088 --- /dev/null +++ b/talk/attracteurs.tex @@ -0,0 +1,46 @@ +\begin{itemize} + \item $x$ \emph{point fixe} de $f$ si $x = f (x)$ + \item $A$ \emph{attracteurs} du graphe si +\begin{itemize} + \item pour tout arc $x \rightarrow y$ , si $x \in A$, alors + $y \in A$ et +\item $A$: le plus petit au sens de l'inclusion +\end{itemize} +\end{itemize} + +\vspace{-1em} +\begin{exampleblock}{Attracteurs de +$(x_1, x_2, x_3) \mapsto +((\overline{x_1} + \overline{x_2}).x_3, +x_1.x_3, +x_1 + x_2 + x_3)$.} +\vspace{-2em} +\begin{figure}[h] + \begin{center} + \subfloat[$A_1=\{000\}$ et $A_2=\{011, 101, 111\}$]{ + \begin{minipage}{0.33\textwidth} + \begin{center} + \includegraphics[scale=0.25]{fsig3} + \end{center} + \end{minipage} + \label{fig:fsigb} + } + \subfloat[$A_1=\{000\}$ et $A_2=\{001, 101,111, 011 \}$]{ + \begin{minipage}{0.33\textwidth} + \begin{center} + \includegraphics[scale=0.25]{faig3} + \end{center} + \end{minipage} + \label{fig:faigb} + } + \subfloat[$A_1=\{000\}$ et $A_2=\{001, 101,111, 011 \}$]{ + \begin{minipage}{0.33\textwidth} + \begin{center} + \includegraphics[scale=0.25]{fgig3} + \end{center} + \end{minipage} + \label{fig:fgigb} + } + \end{center} +\end{figure} +\end{exampleblock} diff --git a/talk/beamerthemefemto.sty b/talk/beamerthemefemto.sty new file mode 100644 index 0000000..0ab88ce --- /dev/null +++ b/talk/beamerthemefemto.sty @@ -0,0 +1,249 @@ +%------------------------------------------------------------------------------- +% LaTeX Beamer theme "femto" from the femto-st evaluation model (2011) JM Nicod and PC Heam (LIFC) +% +% author: Christophe Varnier et passage au ".sty" par G. Laurent +% Joel Abadie (12/06/2012) rajout de fonctionnalites tikzpicture +% Jean-Marc Nicod (logo + reglage pied de page) +%------------------------------------------------------------------------------- +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{beamerthemefemto}[2012/06/05 beamer theme femto package] +\RequirePackage{times} +\RequirePackage{tikz} +%------------------------------------------------------------------------------- + +% _ _ _ _ +% ___| |_ _ _| | ___ ___| |_ ___ ___ _ _| | ___ _ _ _ __ ___ +% / __| __| | | | |/ _ \ / _ \ __| / __/ _ \| | | | |/ _ \ | | | '__/ __| +% \__ \ |_| |_| | | __/ | __/ |_ | (_| (_) | |_| | | __/ |_| | | \__ \ +% |___/\__|\__, |_|\___| \___|\__| \___\___/ \__,_|_|\___|\__,_|_| |___/ +% |___/ +% + +% commande permettant de dessiner une page de fond +% appel depuis le document par : \setbeamertemplate{background}{\titrefemto} +\newcommand{\titrefemto}{ +\begin{tikzpicture} + %definition du node centre au dimension de la page + \node[minimum height=\paperheight, minimum width=\paperwidth](centre) {}; + % placement des logos en bas à gauche + \matrix[above right=4mm, ampersand replacement=\&] at (centre.south west){ + \node[anchor=center]{\includegraphics[width=7mm]{logo-UFC.jpg}}; \& + \node[anchor=center]{\includegraphics[width=10mm]{logo_ubfc.jpg}}; \& + \node[anchor=center]{\includegraphics[width=6mm]{logo-CNRS.jpg}}; \& + \node[anchor=center]{\includegraphics[width=13mm]{logo-ENSMM.jpg}}; \& + \node[anchor=center]{\includegraphics[width=12mm]{logo-UTBM.jpg}}; \\ + }; + %placement des logos en haut à droite + \node[below left, inner sep=0] at (centre.north east) {\includegraphics[width=3.5cm]{Hexagones.jpg}}; + %placement des logos en haut à gauche +% \node[below right=6mm] at (centre.north west) {\includegraphics[width=2.8cm]{Femto-logo_couleur-2012.png}}; + \node[below right=3mm] at (centre.north west) {\includegraphics[width=2cm]{logo-FEMTO.jpg}}; +\end{tikzpicture} +} + +% commande permettant de dessiner une page de fond +% appel depuis le document par : \setbeamertemplate{background}{\pagefemto} +\newcommand{\pagefemto}{ +\begin{tikzpicture} + % definition du node centre au dimension de la page + \node[minimum height=\paperheight, minimum width=\paperwidth](centre) {}; + % placement des logos en bas à gauche +% \node[above right=3mm] at (centre.south west) {\includegraphics[width=1.2cm]{Femto-logo_couleur-2012.png}}; + \node[above right=0.75mm] at ([shift={(0.25,-0.1)}]centre.south west) {\includegraphics[width=1cm]{logo-FEMTO.jpg}}; + %placement des logos en haut à droite + \node[below left, inner sep=0](hexa) at (centre.north east) {\includegraphics[width=3.5cm]{Hexagones.jpg}}; + %trace des traits + \coordinate (A) at ([shift={(0.5,-1.4)}]centre.north west); + \coordinate (B) at (A-| hexa.west); + \draw[BleuFemtoTitre] (A) -- ([xshift=-3mm]B); + %trait inferieur +% \coordinate (A) at ([shift={(0.5,1.1)}]centre.south west); + \coordinate (A) at ([shift={(0.5,.6)}]centre.south west); +% \coordinate (B) at ([shift={(-0.5,1.1)}]centre.south east); + \coordinate (B) at ([shift={(-0.5,.6)}]centre.south east); + \draw[BleuFemtoTitre] (A) -- (B); +\end{tikzpicture} +} + +% \definecolor{GreenYellow}{cmyk}{0.15,0,0.69,0} % PANTONE 388 +% \definecolor{Yellow}{cmyk}{0,0,1.,0} % PANTONE YELLOW +% \definecolor{Goldenrod}{cmyk}{0,0.10,0.84,0} % PANTONE 109 +% \definecolor{Dandelion}{cmyk}{0,0.29,0.84,0} % PANTONE 123 +% \definecolor{Apricot}{cmyk}{0,0.32,0.52,0} % PANTONE 1565 +% \definecolor{Peach}{cmyk}{0,0.50,0.70,0} % PANTONE 164 +% \definecolor{Melon}{cmyk}{0,0.46,0.50,0} % PANTONE 177 +% \definecolor{YellowOrange}{cmyk}{0,0.42,1.,0} % PANTONE 130 +% \definecolor{Orange}{cmyk}{0,0.61,0.87,0} % PANTONE ORANGE-021 +% \definecolor{BurntOrange}{cmyk}{0,0.51,1.,0} % PANTONE 388 +% \definecolor{Bittersweet}{cmyk}{0,0.75,1.,0.24} % PANTONE 167 +% \definecolor{RedOrange}{cmyk}{0,0.77,0.87,0} % PANTONE 179 +% \definecolor{Mahogany}{cmyk}{0,0.85,0.87,0.35} % PANTONE 484 +% \definecolor{Maroon}{cmyk}{0,0.87,0.68,0.32} % PANTONE 201 +% \definecolor{BrickRed}{cmyk}{0,0.89,0.94,0.28} % PANTONE 1805 +% \definecolor{Red}{cmyk}{0,1.,1.,0} % PANTONE RED +% \definecolor{OrangeRed}{cmyk}{0,1.,0.50,0} % No PANTONE,match +% \definecolor{RubineRed}{cmyk}{0,1.,0.13,0} % PANTONE RUBINE-RED +% \definecolor{WildStrawberry}{cmyk}{0,0.96,0.39,0} % PANTONE 206 +% \definecolor{Salmon}{cmyk}{0,0.53,0.38,0} % PANTONE 183 +% \definecolor{CarnationPink}{cmyk}{0,0.63,0,0} % PANTONE 218 +% \definecolor{Magenta}{cmyk}{0,1.,0,0} % PANTONE PROCESS-MAGENTA +% \definecolor{VioletRed}{cmyk}{0,0.81,0,0} % PANTONE 219 +% \definecolor{Rhodamine}{cmyk}{0,0.82,0,0} % PANTONE RHODAMINE-RED +% \definecolor{Mulberry}{cmyk}{0.34,0.90,0,0.02} % PANTONE 241 +% \definecolor{RedViolet}{cmyk}{0.07,0.90,0,0.34} % PANTONE 234 +% \definecolor{Fuchsia}{cmyk}{0.47,0.91,0,0.08} % PANTONE 248 +% \definecolor{Lavender}{cmyk}{0,0.48,0,0} % PANTONE 223 +% \definecolor{Thistle}{cmyk}{0.12,0.59,0,0} % PANTONE 245 +% \definecolor{Orchid}{cmyk}{0.32,0.64,0,0} % PANTONE 252 +% \definecolor{DarkOrchid}{cmyk}{0.40,0.80,0.20,0} % No PANTONE match +% \definecolor{Purple}{cmyk}{0.45,0.86,0,0} % PANTONE PURPLE +% \definecolor{Plum}{cmyk}{0.50,1.,0,0} % PANTONE 518 +% \definecolor{Violet}{cmyk}{0.79,0.88,0,0} % PANTONE VIOLET +% \definecolor{RoyalPurple}{cmyk}{0.75,0.90,0,0} % PANTONE 267 +% \definecolor{BlueViolet}{cmyk}{0.86,0.91,0,0.04} % PANTONE 2755 +% \definecolor{Periwinkle}{cmyk}{0.57,0.55,0,0} % PANTONE 2715 +% \definecolor{CadetBlue}{cmyk}{0.62,0.57,0.23,0} % PANTONE (534+535) +% \definecolor{CornflowerBlue}{cmyk}{0.65,0.13,0,0} % PANTONE 292 +% \definecolor{MidnightBlue}{cmyk}{0.98,0.13,0,0.43} % PANTONE 302 +% \definecolor{NavyBlue}{cmyk}{0.94,0.54,0,0} % PANTONE 293 +% \definecolor{RoyalBlue}{cmyk}{1.,0.50,0,0} % No PANTONE match +% \definecolor{Blue}{cmyk}{1.,1.,0,0} % PANTONE BLUE-072 +% \definecolor{Cerulean}{cmyk}{0.94,0.11,0,0} % PANTONE 3005 +% \definecolor{Cyan}{cmyk}{1.,0,0,0} % PANTONE PROCESS-CYAN +% \definecolor{ProcessBlue}{cmyk}{0.96,0,0,0} % PANTONE PROCESS-BLUE +% \definecolor{SkyBlue}{cmyk}{0.62,0,0.12,0} % PANTONE 2985 +% \definecolor{Turquoise}{cmyk}{0.85,0,0.20,0} % PANTONE (312+313) +% \definecolor{TealBlue}{cmyk}{0.86,0,0.34,0.02} % PANTONE 3145 +% \definecolor{Aquamarine}{cmyk}{0.82,0,0.30,0} % PANTONE 3135 +% \definecolor{BlueGreen}{cmyk}{0.85,0,0.33,0} % PANTONE 320 +% \definecolor{Emerald}{cmyk}{1.,0,0.50,0} % No PANTONE match +% \definecolor{JungleGreen}{cmyk}{0.99,0,0.52,0} % PANTONE 328 +% \definecolor{SeaGreen}{cmyk}{0.69,0,0.50,0} % PANTONE 3268 +% \definecolor{Green}{cmyk}{1.,0,1.,0} % PANTONE GREEN +% \definecolor{ForestGreen}{cmyk}{0.91,0,0.88,0.12} % PANTONE 349 +% \definecolor{PineGreen}{cmyk}{0.92,0,0.59,0.25} % PANTONE 323 +% \definecolor{LimeGreen}{cmyk}{0.50,0,1.,0} % No PANTONE match +% \definecolor{YellowGreen}{cmyk}{0.44,0,0.74,0} % PANTONE 375 +% \definecolor{SpringGreen}{cmyk}{0.26,0,0.76,0} % PANTONE 381 +% \definecolor{OliveGreen}{cmyk}{0.64,0,0.95,0.40} % PANTONE 582 +% \definecolor{RawSienna}{cmyk}{0,0.72,1.,0.45} % PANTONE 154 +% \definecolor{Sepia}{cmyk}{0,0.83,1.,0.70} % PANTONE 161 +% \definecolor{Brown}{cmyk}{0,0.81,1.,0.60} % PANTONE 1615 +% \definecolor{Tan}{cmyk}{0.14,0.42,0.56,0} % No PANTONE match +% \definecolor{Gray}{cmyk}{0,0,0,0.50} % PANTONE COOL-GRAY-8 +\definecolor{DarkGray}{cmyk}{0,0,0,0.80} % PANTONE COOL-GRAY-8 +% \definecolor{Black}{cmyk}{0,0,0,1.} % PANTONE PROCESS-BLACK +% \definecolor{White}{cmyk}{0,0,0,0} % No PANTONE match + +% ajout des couleurs Femto +\definecolor{BleuFemtoTitre}{cmyk}{0.94,0.83,0,0.01} +\definecolor{BleuFemtoTexte}{cmyk}{0.92,0.54,0.05,0.09} +\definecolor{BleuFemto}{RGB}{39,84,148} +\definecolor{BleuClairFemto}{RGB}{66,153,214} +\definecolor{VertFemto}{RGB}{175,203,81} +\definecolor{GrisClairFemto}{RGB}{177,179,180} +\definecolor{GrisFemto}{RGB}{112,127,135} + +\usetheme{default} + +\setbeamertemplate{navigation symbols}{} + +\setbeamercolor{structure}{fg=DarkGray} + +% _ _ _ _ _ _ +%| |_ ___ _ __ ___ _ __ | | __ _| |_ ___ | |_(_) |_ _ __ ___ +%| __/ _ \ '_ ` _ \| '_ \| |/ _` | __/ _ \ | __| | __| '__/ _ \ +%| || __/ | | | | | |_) | | (_| | || __/ | |_| | |_| | | __/ +% \__\___|_| |_| |_| .__/|_|\__,_|\__\___| \__|_|\__|_| \___| +% |_| + +%\pgfdeclareimage[height=\paperheight,width=\paperwidth]{titrefemto}{TitreFemto.png} + +\setbeamertemplate{title page} +{ +\vskip 5mm + +\usebeamerfont{title}\usebeamercolor[fg]{title}\Large\textcolor{BleuFemto}\inserttitle + +%\vspace{5mm} +\footnotesize +\begin{center} +\insertauthor\\ +\vspace{5mm} +\insertdate +\end{center} + +\begin{footnotesize} +Rapporteurs~: +\begin{tabular}{p{4cm}l} +Olivier {\sc Bournez}& Professeur à l'Ecole Polytechnique. \\ +Jean-Paul {\sc Comet}& Professeur à l'Université de Nice Sophia Antipolis\\ +Juan-Pablo {\sc Ortega} & Professeur à l'Université de St. Gallen--Suisse \\ +\end{tabular} + + +\vspace{5mm} +Examinateurs~: +\begin{tabular}{p{4cm}l} +Sylvain {\sc Contassot-Vivier} & {Professeur à l'Université de Lorraine} \\ +Raphaël {\sc Couturier}& {Professeur à l'Univ. Bourgogne Franche-Comté} \\ +Christophe {\sc Guyeux}& {Professeur à l'Univ. Bourgogne Franche-Comté} +\end{tabular} +\end{footnotesize} + +% Examinateurs: + +% \begin{footnotesize} +% \begin{tabular}{rll} +% +% +% +% \end{tabular} +% \end{footnotesize} + +} + +% _ _ _ +%| |_ ___ _ __ ___ _ __ | | __ _| |_ ___ _ __ __ _ __ _ ___ +%| __/ _ \ '_ ` _ \| '_ \| |/ _` | __/ _ \ | '_ \ / _` |/ _` |/ _ \ +%| || __/ | | | | | |_) | | (_| | || __/ | |_) | (_| | (_| | __/ +% \__\___|_| |_| |_| .__/|_|\__,_|\__\___| | .__/ \__,_|\__, |\___| +% |_| |_| |___/ + +%\pgfdeclareimage[height=\paperheight,width=\paperwidth]{pagefemto}{PageFemto.png} + +\setbeamertemplate{frametitle}{\vspace{6mm}\hspace{-5mm}\Large\bf\textcolor{BleuFemto} \insertframetitle} + +% pour les block +\definecolor{fondFemtotableau}{rgb}{1,0.71,0.754} +\setbeamertemplate{blocks}[rounded] +\setbeamercolor{block title}{fg=BleuClairFemto!60,bg=BleuFemto} +\setbeamercolor{block body}{bg=GrisClairFemto!40,fg=GrisFemto!50!black} +\setbeamerfont{block title}{series=\bfseries} +\setbeamercolor{title in head/foot}{fg=gray} +\newenvironment{femtoBlock}[1]{% + \textcolor{BleuFemto}{\normalsize\textbf{#1}}\normalsize} + +\setbeamertemplate{footline} +{% + \leavevmode% + \vspace{-2mm}% + \hbox{\begin{beamercolorbox}[wd=.85\paperwidth,ht=2.5ex,dp=-2.5ex,leftskip=.3cm plus1fill,rightskip=.3cm]{author in head/foot}% + \usebeamerfont{author in head/foot} \hfill \textcolor{GrisFemto}{\insertshortinstitute} + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.15\paperwidth,right,ht=2.5ex,dp=1.8ex,leftskip=.3cm,rightskip=.3cm plus1fil]{title in head/foot}% + \usebeamerfont{title in head/foot} \hfill \textcolor{BleuFemto}{\insertframenumber\ / \inserttotalframenumber}\hspace{0.25cm} + \end{beamercolorbox}}% + \vskip 10pt% +} + +\setbeamertemplate{itemize item}[circle] +\setbeamertemplate{itemize subitem}[circle] + +\partopsep=0ex % espace apres les blocks et avant le contenu +\topsep=5ex % debut du texte du slide +\parsep=0ex +\itemsep=0ex + +%------------------------------------------------------------------------------- + diff --git a/talk/conclusion.tex b/talk/conclusion.tex new file mode 100644 index 0000000..960b079 --- /dev/null +++ b/talk/conclusion.tex @@ -0,0 +1,25 @@ +\begin{itemize} +\item Peut-on prédire le comportement de réseaux bouléens (Sec.~\ref{sec:sdd}) +\begin{itemize} +\item Théorique: \alert{conditions théoriques} + nécessaires/suffisantes de convergence/divergence? +\item Pratique: vérification par simulation (\alert{exhaustive?}) +\end{itemize} +\item Itérations divergentes \alert{$ \leftrightarrow$ comportement chaotique} (Sec.~\ref{sec:sddchaos})? +\begin{itemize} +\item Caractérisation des réseaux bouléens chaotiques. +\item Génération et prédiction. +\end{itemize} +\item Générateurs de nombres pseudo-aléatoires (Sec.~\ref{sec:prng}): +\begin{itemize} +\item Caractérisation d'un PRNG chaotique. +\item Générations et qualité. +\end{itemize} +\item Du Chaos au masquage d'information (Sec.\ref{sec:ih}). +\begin{itemize} +\item D'un point de vue chaotique. +\item D'un point de vue analyse vectorielle discrète. +\end{itemize} +\end{itemize} + + diff --git a/talk/couchot.pdf b/talk/couchot.pdf new file mode 100644 index 0000000000000000000000000000000000000000..be3635f7045b0e628dbd82db6a2474a4cd29dd58 GIT binary patch literal 367155 zcmdSB1yo$iwl3TR4ek)2aT46!3DOYU9RdV*cTaE$5Fog_ySoKSo9rn^>?J&WKd#p1LP`oKq|r?mAMQViYpCFH6&N=f@c0P6 zxH(bc)MObk!g#_E%@n_gBTw#^@`+7+Nd^$@J+gCRX>iNzM!`D>BNh%#A7lLT>O`v2 zkgLJa!Myij`X%gMvC*pf8)RK5h440#HrjcE<)USdebIO-qgRv^LF?Gbb}5rMVOKU3 zCYHF7oZieo+Fvpk2^r5b;4YK3qyTV6URs;9JL$ZBmD6LqbkR9km!s!B_2syTz7^=R z*56zdY5k}Dof!>2-oZc!i~d^|8BLx+fU~uqZW~fwU7Ov0_oLmuh5r??y2iy z6hS*eUN}CVNDoAB!7)e|bit6X5JnvXa!ex=@4xgKMR3b1qO%<$9z;ZpHL9hjo}a3t z4bhkep00~~m_mI%LL*Q^A_$8bqLz~(LQ)Fh%z~T|o~9SXR6x!MsZbDs+ana#4Ig-Z zoCe-AUlNu7z+XH+HrdIK)hi0?i6Smp5~E^^oEJ{!l8V8bUS7eArWz(*;k|D z76}78djOXkHlH=AY;JYZ)z44%7=3F}^zBkx@Yv+TQEUE;1a%n2-s~-fdZn=Bh)=Y( 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