From a1a07088f96c8a5314617e6f1a56e95da19b966d Mon Sep 17 00:00:00 2001 From: "flyingscorpio@arch-desktop" Date: Mon, 1 Nov 2021 13:41:33 +0100 Subject: [PATCH] =?UTF-8?q?Add=20graphe=20d'=C3=A9tats?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- maths-pour-info/img/graphe-etats-exemple.jpg | Bin 0 -> 19693 bytes maths-pour-info/main.tex | 47 ++++++++++++------- 2 files changed, 29 insertions(+), 18 deletions(-) create mode 100644 maths-pour-info/img/graphe-etats-exemple.jpg diff --git a/maths-pour-info/img/graphe-etats-exemple.jpg b/maths-pour-info/img/graphe-etats-exemple.jpg new file mode 100644 index 0000000000000000000000000000000000000000..ce55b439648da11cef38073183656cee1024ec48 GIT binary patch literal 19693 zcmb4q1yCGYx9$)iNN`Jn6ChZC;O-&7;O-DC=-}?b2?;L2A$V{Y!3l1`eP(bA?hyQO z{{P%_@2k51t9rX?_gdZ6wYs3akK30N^nbp`Zd#9<{$R zISTr}q~oJb@we{zs5Afl&XY%-3*`v_`%wlyX6{FwF zB*MYQA^QJL58Z&0$5Nx9p`!ec-^E0Eih=d`J80MhfWJP0`UDjX9TNis^|9t3RRH=^ z3`{~SB06F&l2=mL-0Ehe^wKV$$QXDu5>oT0Uc4liF?UUT&ZuV)(lO5KR?8=^`Mv93 zCH=4Z_?LV%MfmvD$D(7QJ+{lg6AIxIIxZ<9bu*WQ{MwEqRPIkJucYh7k00Ow98{FY zxB?Oo1nMmQ2SR`MFOOIwq9UwZ#)$}6G2E=5;_*Q!L=_r&C^k( zhAi$Ypa%F#=y)!q;eym2#-HhMN{?5I;BV3!q{WhUx?XM>QwGX5>w}3o0`^}vzHb;t zOgH|X`AN}$K$@lFv&#IAUo-2}gcl~$1#xRGW+0d*Aa~YVGqoHZcDKHAMzJFJE`R`^ zTX9I~X#HXF1=VjzYvuBeSS#^|-QFPAUZS;ugF^`KWH5hDkae9eaUX1F@{g9Se?anr zWLxdzDJvXm#iiI{6Om`arAzL7qBid=Pm@bsUj69-z`0>4j*%c`@E@D`X^EF^Q&j;K z>1A#pvUv3baRJ+>*QhErny>v{a+dQ=v~6ZAnKzh-9`Hnxl5RvaS=7hNnw+yzShqo$ ztInR|^OomcCRzXYVymW0JFh8oP3s-}2HF#n6hL7qN$C^Jyr#x~dY-OUgNt>qE9Km8 zj}i?v=z_e4PNE=f=yC`?1S9T?ZEUuga*s9M&pl|NluTu>GW3~x7nX;D<|nFXs(d?X zVDKdi+Ud_~&rtG18g;z*eNN5u4;Lz?xA(j-9=%E>`^%v_`IV|n8$pR0*Af`g}Q(;4eIzWh8wN!e{$K|Q+n zj61qzvy;EbtNg!*%>TFx?f-R@rK!ecA4`~Np~gw(*W%HgZP!?nwx(odyKm^opQiyX zCBmc+9k#vHbARUE{&7^tF|%x*J@K*>A>D6v`_ZzHZ2AYlJ!JRHrH9@&O<}lQuehvX+X4U? z^iiRnDr~0WtbCUPplncm9m2eS+->^+fVa*Xl6x!a&mm*ff>Dm-r(me zHw+D6%S6+MBql9~V4=}G4OJH@ofH4vM869pchM{Uqn_N>Srw^k+ zT%)!#Q462<y1zgFf}uxM>osuTI#x58;8;6(N; zT=jdVo>a6I6uiSuJRoQ803OKPtP89nf6ktO{@O8C@Bq^V%$)Z}4V@`o8Dn$xuF_cT zE&BtYe_pJMnsc|#xgG{R7%P z0KiR1U40$iyq=1(ZxB_`n#Wf6l)0s8qV(w_A>ND6!+<u&quqRE7^G%sa3~nriS1^oBT&pBpFr3c6=;x>y zp6@CgHd&_(M7}=a5%nT%-cGreu68Bv_ExK`Q}D!6ojShmAE4G*{ieET@P}I%QRR1q z>?96Ee2iJku!?94%GfZNr#6JeWLi2?+jUSWbBI`mXdb&#xQAe;D`SjpW_sv#A++Ir zO<&1}skU;*(x0O9_fPblYjTKnoC}P?T&zYUe%K?%vv)b}%8vQh8jU%!i>}j!U{o;u zk^y3n5H|(Yh>%@l5sRa)xwusw7{-XT0kj8ujae7Zq~NDW-tTNk^#HL>?8z1cAoaWA zb$l?t;vMj&xbID;h_~St$-4!z?F$E4wsVouaY`?m&g^i6r;6>8x?H$hkCz5IKIADR zaE76XXWU*q7T(g|GKbjT8h8M-Q0SuGXZ&gsYQD3X4dCo^zRx9>uDWEUKW&3m*a*baNaQ~ zS;jaOLITd&&Pu9E;^$ooTSuL3r%OUlE;g3Vre*@bzrNb$Vy&~MeQ~!?^CAqocI`@pI>9u$yp!hPXtS- z8O)js={x^bnqbB1c_}_2$IUAq|F zYfs~73d*o(0x@M4k!Rznb~UXsb~GEByfJ!{lp!|0)fFJY!>w=nOeXpSbNM7OPkLys zs?m=6`${8TyyFukS-Xgo1r>p${)pg70V`j5U&is`cC)esW7~sKOFok@f>SQ!wHowmytVv z8Fg*!4l3)(G3(K!%Q@4CizUMI9JH_)rTLjMVL&2U{QPX<*g_S7{XJRmvOwOnt(Cg7 zDaZaxU{*S$LU|HLs#HI)pq1(zdW4YbD-Y!Q@Bg=&!oUfEaDu^ zD*bUv*zunSfN!)$W-QgasFuWc9!;|gUlOhCu;`QiAFKb9TF-MxMBoyCTv^77HI{Z4 zNiWB9d3oKsbv`OPE2hiFIf<_ro@4I(WC&<;$u%*~6BiLQ5w}sai*)?_CpJ_+m;s;rU@ zK1P&7svqLEZ|d|%6xXb?K#Wm!QSYj>ar9d>Z4}ii4z_HO#^xC}XT+p8qlt|cQm0<{?ZQfPv z1LF1kYr6yEk2sAq=%H`B1Knh&B9p^CnJeWT%A~-BWtPq;;%qo)JG)NxCf^U)RJexL zk@#BqUVQEo4#%%ZH`$_(mTg&=<$gDK5p37d=a7V-qCHlv}pa zA_cQFwcH<#)MWrG)aeVx%0L;t(4~2o%f+k8^L%uv)P8K|Pot>0l(|lP?A-$dt~XPL zftf)w#_SZs^AV(@P%|Q_0Mu_inlAE7{nS%U6(kauPm9c-vzk z@~1lH!_BRnElP)RqoZiHJ6{lbv5{+rv0qjkJrg#eO8GFtlk$}>-O@R+ht8x=-SdKI zo)l)Hi)As~czP493D@6%Rz7>1p=R;=9Vcb2;A(6)@A+&J^rsPp=YT=R_P5l4rj>V{7E# z-9e3_y^{il`xw;zfP?a{gWRW$O-I=EX85e^XBteMG*Ai6pjyO880iXqqXKncp{Aob zn!D_x_|!R*&Lw+sMnFT0@M*l2!D#$?Y79Gc6H(`=(?v}{{8Cc1GEt+7Ow_*^Dmc+z zsekRdJzi{5w(&BF>~hKAQ-A@#Vlfp^Kr!D?cIsCbGZ?;NSf|vs!h@al%?oq?Z4@E- zool8u<1^n6Xe74_kw<(n81wYooBofTFJ~>NjjMfNCPQNW)%NzIlOxvq0Pwd6N-DWw zFcy+#V5;m%pd<#Q z0e9=d&a)X_a4MH56QjA-_DIu?fh0g$EDBqX%@hM7nuE3cVtdkQufh@4Iis4!9Wl{t zMa~)hV>u?f8pHA6<0c*>8!+>H%ac}CH`s4b%u(vj&^iRwt(CTN*!%|2$vf{TbgZX1 zE2?AYN~U!}14C|f>pAB#TGk^KPW+nVL{Bw@uRNi1`$W~cJ~rkI?{#iQg)R+2EUX%F z>j0)dTCf5h9VO)ZVsQNreAR>Ri23eI^vcZ6pS2aJO4S@Z#pGt54G{;8xEmuDf!SFd zG-UvG`AEv!WpO}*nf4lWDDbRbv}_!#KbljaQPnSx@N`s1iE6^gmB{DMh7+e#1`%$} zU++Sx*yx(I17I36LMDl^k^)vxavOYpL}lueV)$=|#wJN;FhC zz(b!65WryUJyu<`gaH6~dXg&ecGa|*cnf>#{k2C|5Mt(cZF%OAPVI8)KKn3xy*h^6 zLhlTtbRER?&&Q3xG<@IBIn|PahMHE1B$}P7*c6FfjrU51K99~skv-x80L?&VQ$1H+ zgEj4bt1l0-E&~q!8PXtVo6(T5>l)zV`NpJ`Ggj?CPgW1 zZ$<1(NpxCsd*T<#GL|-O{$cRSsL5jIfZy=593>0hJ9#rZYP2X<;x%YtVY9#O-VfgX z{icb&Uz26n!1h=8uZocV&c|%%jmNJMR^czlmqn8-yZPmZRj}Jrj**J?9Q1h9lB=!4Zc#WA)1o zVr15I5)G}2Z9_}RL9e86)y*@CT7v57bAL{- zcOyBk+v|pYjg$4{@{cEYO+o~#Q$>EOHcRF<2ulAsu&xdGmEFGmy2=*Xv^|`wa~8@6 zUH2Z5BIRM99g9eB%&Pjh_Bgq7LJ8e5vJ?q`M8uaCQ?KTEu zAL4%ir0-Re?_i|sfthHH=J~UQqRql!4pjpI8etwr{-U=}*V$EG3+xOWg$owCCe={z z!OoQH#F}S0{6*yLTVk=BHHb%Pa!IZ31&bE9HV>;({8GJOCQ3*{+YAKD}aynC@R@Q5F?i0nz@+Yjn*i&K7rhrr&JrRaA`6 z6i*RjH}GmSg-&jsy)PEhv>G?gtibde*Id~#rU|c94|iAY4C12`VT*o(7M0}j^pK!y zuue-59v_j1$X4}d4uAKYCXwJK3LO_3+^+YO{5MN0NUPi0GJsrQVA~KJh=`Lxi*X+@}cpV9Q?}$B;f3!HN^Z>Wx13S=8jMV$3&DZE?1>@ z7RH7-tUDIq2{Z&|f!n0eLGtLqK4(jMNAc~E8XURr$FKeFgxo`y?<6#5@AVLW_SbTq zbaPkw_&zMb>PwqT!!`*g{qVJaD^VxGM^hyOIan+eM4wwk5=C;1qHN&GQAdmV#^rg_ zedC8gmDudbZJgg2?7Ft7HYoY-`wv!+U{vXo4%|OGEfNG^dswjm7|`f2L10E^X$@{& z)T6v3$a58EkbWmehEth$cGKO5)?Oo_3wyA8JGliLB@2u~jZQ)05s8C?uYMq07oX3= zrkZm$`PuAScT&d>xql(M-Y*5Hj&@#2RHWltCv6u7wVa*=r*)uk2E)aNVFfVbKfkTY zoii<_DJD7342&l31<2&mKwRNvCGDNiaU#pTt07huEO>e>n0n&vd(Az$T2_!mO ziY=7uWe@5Bc6@M9Z6&LSXhR>Jro2VPsI<6u~((=$;XxayAke%s!a2+NHDN?YcH z$dWwS#?mapl<;TYY`C*oRXFS3AuPO8;*W`S3{p&u8X1=BG&w%ma+?uJ`rv!4d%jFW z5>6nJX+ZjO>oXSKBQOiN_o&Kgp^`oods=T!K|i08UVgB7p0Z)cMYfX9mhwf`FEzLE zGG38&{~7RkKWc3s7K>%b3k#ce>pq_ONHwYoyFhfudJ`9Rj^3(M9{-hj`FA%Xa$IG& zWuvk(Q--Ehw(Ndk`2|SnmTD&jkXXT|4pgL?L5UPteqCa4vQQAVZSnxnJWKl>^#CAT zI9%BA^l}@W&1kygbsIPdB9t?&Zbah+D{*6^GLD=Jj@L{|PpgTIv+Aei?rw8DAn}qPzVBlf(1kiQwyE%T?~z zH0dkwgwK*AZ{OrB`PMCbdsiyprxYgtmAxo-T@X>q$fiIoh4Fdn{mvWR_IkurW96-F zQL*kd`vLa)LbLjDvxQ}SwDC+4OLGjU(7#k&0|~&dh-kNsXHNyGu(z+JQzgBrl^&=q z2isok#^4Ud2vg+uT7p-l<5$TG(e>JAUvmMMowh_5oXB;ffu*a%j3QjPl~M}(Shs2{eZz3aU{?2dGlQV;U#{!GP9}3{*N`uy|IrJ;C0nj zei7po{qY4dJ{&PL!wqqXQNBQ7NrIptKDFemcOWKx|nuOsC4{-h@1}0 zZZ2p&BUKT0m5O;im=;U#w)S7hAXr#fd8DHz#z zRT<|$b~h3gAK=4Q@;^8W!QN<^rxB3}dlQb2d(G}L6sNP1Ze0styRi}ZyGB_*1GN%K zMAhtI`_FCgRot^EoPArHbUaTR(E6P}2-iDCbE(MtvTD?I_sH7X{c*pJLYej-PQ!3= z1!n3%uU$RDh7QGi-M0)ND+p8{JSUKoV*Rgb($o~VE36TxqluOQEw2nD1^ja*Xj4Xq zB8!E4x65(mAlO!@h*(^5pExfUPDd{k5h3j{wvB?KRf_c+kF0MKuAnn*D%!CHScF9A zh)%cdja2LQ+^0sGAyNe=?#(PyxG%jtXzvG$@(CwM|HKc_M2eqLGCDaK@E;U5wr4j& zqAa3T@OFw(JWQm%$}r`S^0K6UlydlkKKs%T>kg(N_*!A^5bB>ePIec!KtB@7S12FH zPoF2h>F|#(X-UcFON0cE`_VO z@E0l)IuT{?bL~PZ??Psq0cA9Iuo)vkvIs+|Oi31`((g`(h5qQF05B32ZdrL7+eK%M zIEfrYP{-u>q;cd@$ln*5RDB_Cj2?HKV(zXh0}b)>D~-|ld6F7m z?oOyn=+-xgR<_uUB&M*wRJ(%|$+OAPH&mwj+*y30tNU6FDwp?+%=^}c$T@?iN>MxL6E-1bQ-2m>e&T({xW-e4pBJH4dSTHzy~h;(+=%*W z?AWeoTdUwT_PTj_;QGJ^whe4rem2i%@eDZG9C`sY+biW zMtNPfK*b?ON8viHBI2!BKwBq5mo{(*5C7d)mZG{-76UD8trQwQy z7`xf{tp_kJ-=I~jU+=E4ap(p0`$EA7z|R`|GtaBvGCyqd{PYs%r2$G|bSUfyUDrnt zTZ@VZzyipnytDH6`m-4q$@k`Ge2ZBhAeB}&dw-^L$S-Ik4za;_vEpA^q?aBkkg$aWq8HUMIEEKExL2LPYJe=&Z{g2Gkf z!|yAh9S;Bq)%EUTixB}bqL$CV9X@hQSr)O@Ej!|(y0W9t#Geuk2F4QP$TrCF=WZ4R-f~9>f%VTE&MKH;QRPIH`T3WV?XqF=K^GY^86* z)N)%=@nAWvec{o9x#Ai)z>Zq~W2CRy_clL5#xT)@(b?b);~-L+2f&uxofaikKsZD2 zs_OlZUW4rV>|FZ@YYKHpxqTBT&5~d&b!~~;-<9O*OOb>Ji_gqd4aS(;YKiEVBogVc z33^#YW$+x9qRk46JoQhMJ+}7Mg5x`GiJc$xed=w6aK1@Sg$npe)i)h$k6uUJR1i^> zUI18G`I}%$`Kskf;RUydh!16HX;`pA`H<{oH59k+H%|618;<&U?puBaxsMVabuDBT zMa4rgpqbHURzH(-3|$@xCT4cLG(AvnSDk~1=%As^x^Fz9asNab)z8B*`kMfz405BKeU@g2VCdajWr3CpVJTc4knXABfaIY@L8rJ ziL^d#MZcdvP(3XF$Y1Q%K`xvxXN@s|qv}D>XVoXiL!knsad2J_dB=(H(qw--b+>6#to~)ix6Hl~ zw;fq;yQxJXP%bpmn}h`538ra<33d9o0*&@02*Tqg-DJf=FZ}{ZsFME)?g{;&wo&A> zmZ0AJVSG4JOMoSEH0bJ9SvQ5RSNk$lW1qkAP5C9s8$i&CL^xV}0J8y*B=BezBG#@z z!G@Sg-hH|U6`Q7D>h-WQ-T@sfg{)jh#3ZwAs+4HV!`P@8f9@>#fWgqNfNj(qNrkeO zMHl_H*-)Ddb+=!f1}-03>`2p_J+6(RJhN+f3#Tq4Jy6sz=pHCawq$l<(;g z9toAqF#U?8l0k#fL2^5h7=4K}J7s&V#QBoY#|>V(U8KDjX%ocwVyHy-jbHUhf!Ps* z1zDfPs=7;$;6eiAolWs8?c=foMFqMVKh1v0Be5TM4*(4&J&6*y_|(!tXZz@s&A%Vq z_Q5mn=5(*FgUX02XznfcmGAf1Ztqa<Kld$|zokTIHW}`2VwCWg@l@;L zP;Y*#F?&){L{g_y9G|cO)KJSK61!U4)w|BMvVRX>CETvc-+szfcB42V9B}?*ie32^ zM1VGwhOP79I^;ls+C;eAugZu)5lTvy$NDOM3>c3Pi=oOc%z3)-i0r;YcW-g@y@g&5 zrDpx|Ql)wT$RlO|x2h_*+BJNe%GXm1iLW%*e<;l>$(qrhahLiwo9xY#xEylA=2jj%QyRYWMRoS z0=q(^96VAYzNPMM6IBI%ESXRjJTf8QT4;2G_BFkDeD47cJyb~U!v+pX@We#!rFFt7 z9h&(_SSyeZ)dOx74|?WJm{WhiCPRIPkp{1N$9PkqTs~>Hns5_vi`GzhB66c6sMw#E zyBs1)UipvLMxx;tNjYUSR1ATP6p|rN4xnqR6rqs!y*XK1bOa}gHUa(e8gYX-{i@;< zLCDtv%0zp8VuZ!6X=zgn^kC?Z!4jI<=DE~TLK4lizxe4mg z1e@&hr}ok2NML`-R&=VebEJxO;Ka`fN+#dpg}=sJPh+1uW#m}2X2!R~TpCVPMV-y~ zc|A>JPNMUwCW4+jH4{X~Y>OI}hyMX%86$4R`0NonlG<3;`^c7hOLI~{1w)3n0blnJ zuhBgKA_6EcgkzWebaGT5*^z-$Qy)t@H2Q(9Tqfk0?0s$;KbVPW)Ys4Q**l*M4_DvQ zn4%F4NAI3NnYvekOA_9)0j{*wu!C>I#C@eXmM8E7xx}DwV2t9^F)@NkoW$L4+ihRX z8_pN6{SI^$NpnPn1kl|^IfdawCHUfj=Kj;Gi3FbpR!d`=bDIiWDLNRc2T7n;lu_fp_?*%ByWO5l;*6$sj2mA%W3}@F72|{ zLE##^U6tDF*3-1y<+X3gm8n(ptepS#aN5S7+4niQlV84qW{U5g^(<0^;qZ6Y1o+@J zCe;4m)p4xBtSj* zj`Bch0#OF7k37DSgL0(h;*B@5Gh&T)GXk?RW}Yf{z=?=1pI*KfB#>_w160+%W%5^3 zlm10=Apx{0_*~<%s-V<^OF7siv_;e1fY^_iYwyR40NjTB-41W+*#c3F1&@*^@%j6M zK9nI?gMW3Be~)+B#UhF`B;G*9pXzII_diq0K228m3YN9uPoic*Ce$>ngj10ksM%Yv z4XhQ&N&Zg^C4=&dD6f^N8^g+0E|=kg?JCxm2LSEYSkcvu{#KQGQ3i%v3!+R9X#ANr zY&UK_0vkdhm7QXOeS2;H#LE< z2b~2*xbXYC%&IV=@a2WjZFL94^ku67&@X&q+QVGQ3cqhkdeHlx_eH4sb=>a?#oZ=d z=+8>qDQ$*`qgKJhDR7s#q^tjtlA#~%F%mXI+Hpm&+MsaenF+a_1q^UD$0BodF&L-! z<|8bS2mD|begxWMU{|d*w8)~Bi(E5CBg+&|-UH}iCP5F1@RHxB{5M#qH|mv{1OX8{ zHhx??p%NT)ZFZzX@p|d$!2OERh|-E?f*rTgM%9jZa0b|>#Rxp@d0OnLKKH-ylw-?suAnLkVSkYi)m-`o56AYHzXeo zjrl~fZ}IQDf#mmC_pl$@h`z1i52B-`|bP;fu z8KMcTs_y(kIw+iz4mY0#rzE8Q&9%En*IbZ(63!BQ*lh!a~oVGjcji$;D z^vgoA5aZkz-uO?#D5A-9h4@qj=d=XU=?wf781oTl{Fm*Tu|Ksj&e$Fa6dO6r>A)DjY?~FB5rh#P+xUG6IjE{s( zyGB*B+4iAV%eLp#zJ@j`*DMRyO!r<3>UF=`BXmunp^7{L%5#!1MCiuzGmZ67=K3Tcd-#ZC^-$XgwQ1ZDXh*NugSWpqD>|ck7Z%BPR*n)br7&< z<-Bm3EdHp;X)A2$682FUfoSYgDr!TtqYY-*DjcqdGYdjEM}I*`ov}o>-qhpv)R*IA z8S?hAU;0^gUr0DMy?^)ZFs?(nf}}L?SSrf=Y>vkYx4eems%)vT$O4-(X=bFCi8=VwNfY55Xl}^uWT! z5-5i_d#y~vbqLL@A3Hu22?>j1nm#99yLR`}x|-9~#!c{G?CMpA7~6gF%os8on5%dI zY^G&ek6n+Go*v=HsZ$N-e*cOV^$cV8@Sbn*lQFkBgs$!{2LBT}gDd8Bhy*sS%%Oz2 zVchSI>a?oT1%_JLg|mar>d({c&9baYLR=lJuI^+L_$71LDV->q42ki@pAjnE(3kC? zMh{ZNM!Acj-7ig7@Gy09vwujka{T~+v?qCtY0^XV0Weq?UzoxWDwT0XvaTkQ=HkY2TXDbbOLXG34t;HvE#inOQLkb&$>-D)RShRpE6FFj;EO>U zs*C+1a@9cQk^7E7zjk3$(9iYe3E+&z*6w6A!&W&y@FZOWi)y$@(g8Z1G*|7qDOtam zKj?|P>>9M=*>-Ws+Q;5=p-l|;EMp3H_NKkFAN%_Nzz^b|c|A7`kFDt`lYjZO^T1Ty zY)x-CTS7FQsc~K<9!Os^c9rAf?_XI+$f{WCP7JD&o?kwd zP_4~Ig-EMy8w}v)dF9)&I*_E1(=j(OpXc@pgSS&lc1S0&!oz_->z@3q=lI~^05`T2 zB2zrbAzu7G6<-%mAjU~8I-~sn(Bqe?NX)S|&$Mda*{>4mN!c1P(yLjGEn{U-i*xa3 z83<-3Tq2CjT&Ky+C84U`?bE1Gg>I#~KL9$b<3ER_Jy(TraXVtF&PJ3-Mhs40`3|7n z+1()yPTbvG(%5oHV_V&8KBkf|4vpk|u zYfn+b49_jT-_O*|JG;lIu0uR#T27{_6FMh@zfVo(XcVEBz+j`CA@ciQsysUio779L zX^Jnz=q4(3sN%?b^B^Fo{xTD!^l?#7rVSKDS2<5~b#5t*Qxplj>eEwBjk-kTi+;aAGowl?Rb=uTCTizDP36?+i zM?bvK^@@Jx+1#~gQvR;bqz;yATyf><5Zk&FezgBJvK-dTH<{?Q^{3T#k0%yQ)=k`*QwM+%PBf>G*YNlRWb zd{WPSwuACqw<*CQ({bEr33CWMa#hT8inj4$3T#BO_xtia-L*~f&<`6Z!A^4$TzjD} zq3@~kxiSxIV(FvDM_X9)jH-LNjWcGIhrz#`5!C(Ff=I1Oz9o*@z5BbOY;lk0G~K5| zH@|+m(Y7_Lv4%T&7$>H^oI>61$JAv}M+*zTIBM$wR4c`1z;P!rKst9%#-nndb4_EV z-9in`cwAY!og49T8JLiCZSvBB)Cw9Y^wQpc9}Uu?&%pMzxZb)^)?&aH9n(oh-Ph4+ z+P{?XVhiq{xa-`0EtIiVM@D6w$rOy7yU#;o{23k!uSI%mc&n`+`H$I$I%HFLig_-H z7qQvTp|25-<9JQ<@fZOaw=XNMLj$aOH~fjxoy&qyF&a_U(Zj@V2CZaj(=;|GDm_cd zV*JRO9r!JJzrYQwA_xc~;uAX6l4Ak#sKFQjHLnZ$lM41$+>A9uX{S0T%`c7@90hB8 zZ7qsgwcp8`)?6t;@?zy{=LuODkl#BScuc>^lG*8kn^5+h-e1JkrTZ#;)+>>lQq+;* z#w!|VW#JeNqP3Noesr_{Y!ub4djwA6^Vf+Wja5GF{}o*>B^_Vw+jkQUzgQA5E;-!x zTnD>R4ZB=kNfdB1%g09~2Z11jNcaN)J+DaSw+&x5ROPDydp?yUL`1I1$FA5ZVmlcj zDo_4>jaX}~CRZ~mg}l$M!Ij#!kG`~#u~TR5jp&3LxZ#hcA8>-5d}0A>5)qhUbAV#g zTRWs7CJ42EV_8d;Kgw`X=%W$+7&XeO5zUb3lh;VnDR}g0?dV!75P31`C`7GMIS%@` zjfy+7s|a}CUWu)QQx^6}4=A?q#)`jU3q~uN92%d7uK}rkNO%5$2d>pFOxPf))avJ7 z>oXN?Rl+I^cI0|3W(9ZO3s*UyhI7o?y;08m+AJ zN^NBJDO83vS>wDMLp3q#C=+#(1B#E*9UO5R5!oDr8*KMXU%JMA@NG(=$(QHd=*&lG zArq|}KF60g_J+pP^?|8`7e#sBp1MgWX;vRwr&`Zfv%hT_&uU3uFv( zCZJ905Rt%_WlLDQ=ucureAcxgP{Yju*B~(VfkGYA+jP&ZGZQ!6q23(++23W8h-T?! z#!Z0PR;CpQJ#~Nu8^k7h@hP`t0>)GI$DRMwdMBXS)BEhwVL#qmJPRb8S9 z)rO}b`E=sb|IOQwppV^xk zFfutIq<^}PTz}sw559=zzT&8u2YQ2YaTdl70Y7egnuN&!Fgn*@>{(;j^2??LuCp|L}91 z5~H88(cwz!>EoG_aW<|DtTEHD7>KypXRGaDWOFEGVU+1O?M|WL7Np+V)}?%-;N5NW zmEd=^)}=vI*n9A91WsdIK4o&VSFOBNwN~7BWT=}h+MOmk;BH*Q7F*S+mDEJ@&t&pF zFW$e!i(I|SVKAu8{xu8i&Jjt*_j%*0%TdIlZi&%fxTFYsUsN!EyD-JS?3o5|3RBeu zO?#;VUJ(1cH(^7#CzV|RvZ|Brm0pNX_w85Z#^X_ul=?gHi>~6$WD{_gjb6p=Il6w1 z4ZI$wN;4RPrWrYXoY>s{dg`|o{T%<0Ej1CFh+tksT&|f^_!&)*hyfDXyn}~4Gu4>( z8w5Ab%=f>l$32t#0%=$?5};GSZH4c0@K-AX_YFvr)^)5kGzzaMClsTdc*1L6*32E) zNN8rIVZkot`p&yZURt$8xUcjs7j}RSZOo~%9onHZ>d$)!bi&umY9kK zWXo~@Iu#IYMZ|IC;o7TF?W={RDn3DOch`Xu+E1tS;E04q83p>wS+nFfD z4@`j^e?7?^;&Xb%>g#@)C3e8uq0ed?Qq44A81|&j8>q>HYD@i7jRY>pP^eub0dy|C z!krZDcA>zn=4j~Aa!dX`HMnt#=)^{%u(`0%G1V$AUmUO2m)9H`h{(h7GWS(Mp2H3L zQ_Z(puVgMWA^U~wx1SwK$j;^yH9LT*HzR@&ra?(H`J)8gd!C|em+)fjx3^CR?3C-c zS7gZMaNoYFfkcu`21HXuX-tr4IL>M8){Y2##?ZYF3lr@Rm16xuR3kE#3M()!A+H=W>q5 zj_fbU+U)n+O;3iECewd>&8$M@Z?3{{3Z;W7$x3~$4p$OVX}~tdRQ%xqAZ2FI8PcN` zz2^(6xV>Jw9=&LflmC=$3_kSst#7PsUB1DZrFfmaV~A^c`ToTI7H#xPPiwH; z%m)&=1nBP7vVk*SB!0sJpe$Jo4*+F5530V?)faicb#el#GaJfH_>@vtxm|DNlp+WmA(roBhyd0sT>E&&~MLp-s1Jl zx_GNXd(_%_pPeRc>bS=+fR|^nC2jGWL8JA^@uWK<(b+JqYZ0P7o8BN7ceJx^@Vq17 zq7wy$BQ6r)UoKaRKOtM`tZipD1dO*Jo6u(uSRBD{qDiCFvfdeQtkg!ROj?eN+jGdb zWWH_e?O9pZ+mA5b*ZX1R6V4)OCTXxPD*rLOCg0$25`^pZl@XayM|9(PzYq zwfg?5j7HNeJJY6nF?thYC;qJlc7$Eqr~Ng1`2FTL%SN6n62FKKojN5J`hn=5#Gswx zj_2XL$roib0;sKzCpP3tB9#|v+(*a0U6Vp9xVZF9?PrZ5yzq>wCnT5K8J96!F83u@ zFfqbDZDoDA1yFaEOI}tnCbJDZ2@YdK4g0+D4_EXLP4ZVKuclCYyBDPXw!94`Ra&WB z`-FJrsy0;!ujbV5@s#mmN(RpJNlx+B5ri8>;1o;ieDCK09n=K=?|zG}#5PL$IsVCt zVWoA6stx|J3JMjIKYXQ%GB!ex?p^xegMpMaFZZXLbFR$F!;vhs;Q(ls0(raSJX20rDLZ>t3*pT%ao!-&?1ZwRa3RJAyfx> zCA3=9(xF6+t=2?rEhUl=v^8pNsHG~KEukfC?6FPirSHw_n>nZF{q;NdzxzACd+)jD z_x=37RMIJeI$nt>NIc9(d0 zu;F`m({Q2Bu4*NxpIzAlNUoGfEKgx@XAaC-kPk2yb{;c}q`0PYmh0~i`=YyNfZc^L z*dY7IZf=g``)d4Y(C4@GUI@w~?RWE;QC8q??)V=*5iz?&=UJQBM? z>soqBu`vev-bcYO1qfJwx}aC39=k=TTky2QcwcfQTe=9QGxGXT`!s9~08*6rwADTqm0i{%YK3Pczul-?CCGsE*_vBm zg&+0+s&vnMe|l;k5d=>#4WuH;X)N~(-bg^(?A{M=hNdiYcl0IB=>LK(6==Jr1 z{i->EqwjyKk8?KRgNZ2 zKJu04`pR|u8|V}WIOClgTn2t5W`tOG`(GwO{?-yD2Q&Fjt}x(i=r~$FWJ5Qnpu+t2rdn9iU@XtYGzflM`)SQ&rC1b=*l_Hhyrr#P*XRJ=YFLo)IC=6J( zgrm|{G@xqyURparSo7hL|A2}x~y*jc!B(V&exbo^byxHuJ12~2cHaZoMlCs<(Zso(f}W3(qNBa^6txdXgd|xL z&Lc;h(=_LFt1g~L}EuALOX4&5{`|^+b1sUYrN#M3OdiNr=Q06A{O5UAR16TL) z2a?!(f-HQQpyXZ9YsN*}RYh7(V(F7H5io6@X$-9U@V4F|!Xj}Xt^Bt@#!ZPD@_WB9 zX%Y@Ql>M9*x0y>+h)aON&pARw?7k8e-#Tl8q%#cEID|L6zLtsM3hq9eXQ-AN*3Mug zIW`=e)c1bl*s^-aP)U}}J=KXA&^q@SgGL6^6${o03QA+BMh`M0I_GSfSKiu_yH+}5 ziOpW0JS`$)?Q$nyn`Wsx8QP`Yp*xpp36%+2R{8>?moJPL;HYQzQpTVCxDJORwp%2ZH_rk?(;>DPk6HfHoIVjEI2 z|Dl4|8u0tt@iWw-RVVr9BJvnIrY&Loz-L?H6=don$nZK1;l`G9lK+!h)}% zKrhayztcdV4uGm@?)v-gO?V(>D`2t}yRk11Efl9*r&K64bVDB7H4Z2n5^#z=v9+vz z22|icqw8o1*1O9ENW;JRWBMZd{#UE~(j{n}gk@X0S%)nQ)-6od(e)-H>1Ud!{C&bq z5GEKJMwboBSMD53Sv*ATW`G^hTv4sJeUoTbfg~)78*QmNW`V1G<^a8Vn&}ojxX34M z5w&!rZm+AnW`;#0+6GHufw)35I)ytGFp6r@30;h~XHR!c5R%2!oSgBfR;7k=NQo|@ zQCieM>(u@cr^?(J&lJAHP9Qb0ZOCbZ#>y~zzznO-R9Q-^uKM%@`{N8CcZ8DwTGBtJ zDCI%3<{xVWtNk+jSM=yl9rjy+6PsQ3awqfllyx<*HpI`3FGJUu-WWiTM9>4BCt2=m z0}QhL&+G5Pwy%cz20RCn29IN!h04Srs_td8v!ioIT!cPJ*lYy-UT=OPg%hnqPr=W7 zdLerqVwbS_hT3f5_$x+Ix1%nb2gTru_$nQ{8PVH*bO9<0ACb??7+Jr1vtbOv&4bV7 zF0(3nFvGTtsyzS)Q8O|Bbn(2T#hZ^fs8AOQn9*ml!dY8QJf$9vyzLJcmF2lCdr$O$ zLZQGGJjN=Y4XvH+-=0Ga7dzpdIMI_TD=vO ztLZmJ<2L=HDHh{JXsuSZ?EDojnCx|ssrMs`0-F;PJ?HblVxmb~O2~{s=oQjE@!Szl zKQR31bWdcVaLQG0gN;xo;s zQeWKldmP+!=un!Bnd?vOyt%rBt=xjh+bWslt|>kNN%h?WfIS<(+i@`;jg2={NV4po2d{4e3&9`#=^ Cjeb!8 literal 0 HcmV?d00001 diff --git a/maths-pour-info/main.tex b/maths-pour-info/main.tex index 43212bc..9febc06 100644 --- a/maths-pour-info/main.tex +++ b/maths-pour-info/main.tex @@ -107,24 +107,35 @@ Il manque donc les ensembles $I$ et $T$, c'est-à-dire les états initiaux et terminaux. On peut les représenter par des flèches ($\rightarrow$ pour l'ensemble $I$ et $\leftarrow$ pour l'ensemble $T$) sur le côté des lignes de la table (donc des états). - \begin{tabular}{cc|c|c|c|c|c|} - \cline{3-7} - & & a & b & c & d & e \\ - \cline{2-7} - $\rightarrow$ & \multicolumn{1}{|c|}{1} & 2,4 & & & & \\ - \cline{2-7} - & \multicolumn{1}{|c|}{2} & 2 & & 5 & 5 & \\ - \cline{2-7} - $\rightarrow$ & \multicolumn{1}{|c|}{3} & & 2,4 & & & \\ - \cline{2-7} - & \multicolumn{1}{|c|}{4} & & 4 & 5 & 5 & \\ - \cline{2-7} - & \multicolumn{1}{|c|}{5} & & & & & 6 \\ - \cline{2-7} - $\rightarrow$ & \multicolumn{1}{|c|}{\multirow{2}{*}{6}} & & & & & \\ - $\leftarrow$ & \multicolumn{1}{|c|}{} & & & & & \\ - \cline{2-7} - \end{tabular} + \begin{center} + \begin{tabular}{cc|c|c|c|c|c|} + \cline{3-7} + & & a & b & c & d & e \\ + \cline{2-7} + $\rightarrow$ & \multicolumn{1}{|c|}{1} & 2,4 & & & & \\ + \cline{2-7} + & \multicolumn{1}{|c|}{2} & 2 & & 5 & 5 & \\ + \cline{2-7} + $\rightarrow$ & \multicolumn{1}{|c|}{3} & & 2,4 & & & \\ + \cline{2-7} + & \multicolumn{1}{|c|}{4} & & 4 & 5 & 5 & \\ + \cline{2-7} + & \multicolumn{1}{|c|}{5} & & & & & 6 \\ + \cline{2-7} + $\rightarrow$ & \multicolumn{1}{|c|}{\multirow{2}{*}{6}} & & & & & \\ + $\leftarrow$ & \multicolumn{1}{|c|}{} & & & & & \\ + \cline{2-7} + \end{tabular} + \end{center} + + \subsection{Graphe d'états} + + Un graphe d'états est la représentation schématique d'un automate. + La table de transitions précédente est équivalent au graphe suivant~: + + \begin{center} + \includegraphics[width=0.4\linewidth]{./img/graphe-etats-exemple.jpg} + \end{center} \subsection{Automate déterministe}