diff --git a/CalculDifferentiel/Index.md b/CalculDifferentiel/Index.md new file mode 100644 index 0000000..31ad3d8 --- /dev/null +++ b/CalculDifferentiel/Index.md @@ -0,0 +1,175 @@ +# Formules +## Pour les expressions de la forme $ay'+by=0$ +$ay'=-by$ +$\frac{y'}{y}=\frac{-b}{a}$ +$ln|y|=\int\frac{-b}{a}+c$ +$e^{ln|y|}=e^{\int\frac{-b}{a}+c}$ +$|y|=e^{\int\frac{-b}{a}+c}$ +$|y|=\pm e^c+e^{\int\frac{-b}{a}}$ +$|y|=Ke^{\int\frac{-b}{a}}$ + +## Pour les expressions de la forme $ay'+by=c$ +$y=y_p+y_h$ avec $y_h$ solution de $ay'+by=0$ +Méthode générale MVC: Méthode de variation de la constante +$y_h=Ke^{-\int\frac{b}{a}}$ +$y_p=K(x)e^{-\int\frac{b}{a}}$ +$ay'_p+by_p=a(K'e^{-\int\frac{b}{a}}+K(\frac{-b}{a})e^{-\int\frac{b}{a}})+bKe^{-\int\frac{b}{a}}$ +$K=\int\frac{c}{a}e^{\int\frac{b}{a}}$ + +## Pour les expressions d'ordre 2, de la forme $ay''+by'+cy=d$ +$a,b,c\in\mathbb{R}$; $d$ est une fonction +$y_h$: Solution de $ay''+by'+cy=0$ +Équation caractéristique: $ax^2+bx+c=0$ +Si $\Delta>0$: 2 racines réelles $r_1,r_2$. -> $y_h=Ae^{r_1x}+Be^{r_2x}$ +Si $\Delta = 0$: 1 racine réelle $r$. -> $y_h=(Ax+B)e^{rx}$ +Si $\Delta < 0$: 2 racines complexes conjuguées $a\pm ib$ -> $y_h=e^{ax}(A\cos{(bx)}+B\sin{(bx)})$ + +$y_p$: On cherche $y_p$ sous une forme similaire à celle de $d$. + +Recette n°1: Si $d$ est un polynome, $y_p$ est un polynome de même degré + Exemple: $y''+y=x^2+3$ + $y_p=ax^2+bx+c$ + $y_p''+y_p=2a+ax^2+bx+c=x^2+3+0x$ + $\begin{cases}a=1\\b=0\\2a+c=3\implies c=1\end{cases}$ +Recette n°2: $d=a\cos{(\alpha x)}+b\sin{(\alpha x)} \implies y_p=A\cos{(\alpha x)}+B\sin{(\alpha x)}$ + Exemple: $y''+y+y=\sin{(2x)}$ + $y_p=A\cos{(2x)}+B\sin{(2x)}$ + $y_p''+y_p'+y_p=-4y_p+y_p'+y_p$ + $=-3y_p+y_p'=3A\cos{(2x)}-3B\sin{(2x)}-2A\sin{(2x)}+2B\cos{(2x)}$ + $=(-3A+2B)\cos{(2x)}+(-3B+2A)\sin{(2x)}=\sin{(2x)}$ + $\cases{-3A+2B=0\\-3B+2A=1}$ +Recette n°3: $d(x)=P(x)e^{\alpha x}\implies y_p=Q(x)e^{\alpha x}$ + Avec $d°Q=d°P$ si $\alpha$ n'est pas solution de l'équation caractéristique. + Sinon, $d°Q=d°P+1$ si $\alpha$ est solution. + Sinon, $d°Q=d°P+2$ si $\alpha$ est solution double ($\Delta=0$). + Exemple: $y''-y'-2y=te^t$ + $\alpha=1$; Éq caractéristique: $x^2-x-2=0$. + $\alpha$ n'est pas solution de l'éq caractéristique. + $y_p=(at+b)e^t$ + $y_p'=ae^{t}+(at+b)e^t=(at+b+a)e^t$ + $y_p''=(at+b+2a)e^t$ + $y_p''-y_p'-2y_p=((at+b+2a)e^t)-(ae^{t}+(at+b)e^t=(at+b+a)e^t)-2((at+b)e^t)$ + $y_p''-y_p'-2y_p=(-2at-2b+a)e^t=te^t$ + $-2at-2b+a=t$ + $\cases{-2a=1\implies a=-\frac{1}{2} \\ a-2b=0\implies 2b=-\frac{1}{2}\implies b=\frac{1}{4}}$ + $y_p=(-\frac{1}{2}t-\frac{1}{4})e^t$ + $y_h$: $x^2-x-2=0$ + $\Delta=1+8=9$ + $x=\frac{1\pm3}{2}=\cases{2\\-1}$ + $y_h=Ae^{r_1t}+Be^{r_2t}=Ae^{2t}+Be^{-t}$ + $y=y_h+y_p=Ae^{2t}+Be^{-t}+(-\frac{1}{2}t-\frac{1}{4})e^t$ + $\cases{A+B=2\\2A-B=1}$ + $3A=3\implies A=1 \implies B=1$ + +# Exercices +## Exercice 1: +$(1+t^2)y'(t)+4ty(t)=0$ +$a=1+t^2$ +$b=4t$ +$y=Ke^{-\int\frac{b}{a}}=Ke^{-\int\frac{4t}{1+t^2}}=Ke^{-2\int\frac{2t}{1+t^2}}$ +$y=Ke^{-2ln(1+t^2)}=\boxed{\frac{K}{(1+t^2)^2}}$ + +## Exercice 2: +$t^2y'(t)+y(t)=0$ +$a=t^2$ +$b=1$ +$y=Ke^{-\int\frac{b}{a}}=Ke^{-\int\frac{1}{t^2}}=\boxed{Ke^{\frac{1}{t}}}$ + +## Exercice 3: +$y'(t)+2ty(t)=e^{t-t^2}$ +$y_h=Ke^{-\int\frac{b}{a}}=Ke^{-\int2t}=\boxed{Ke^{-t^2}}$ +$y_p=K(t)e^{-t^2}$ +$K=\int\frac{c}{a}e^{\int\frac{b}{a}}=\int\frac{c}{a}e^{t2}=\int\frac{e^{t-t^2}}{1}e^{t2}=\int e^t=\boxed{e^t}$ +$y_p=e^te^{-t^2}=\boxed{e^{t-t^2}}$ +$y=y_p+y_h=\boxed{e^{t-t^2}+Ke^{-t^2}}$ + +## Exercice 4: +$\begin{cases}y'(t)-2y(t)=te^t \\ y(0)=4\end{cases}$ + +$y_h=Ke^{-\int\frac{b}{a}}=Ke^{-\int\frac{2}{1}}=\boxed{Ke^{2t}}$ +$y_p=K(t)e^{2t}$ +$K(t)=\int\frac{c}{a}e^{\int\frac{b}{a}}=\int\frac{te^t}{1}e^{-2t}=\int te^{-t}$ +$=[-e^{-t}t]-\int-e^{-t}1$ +$=[-te^{-t}-e^{-t}]$ +$K(t)=(-1-t)e^{-t}$ +$y_p=(-1-t)e^{-t}e^{2t}$ +$y_p=\boxed{(-1-t)e^t}$ +$y=y_p+y_h=(-1-t)e^t+Ke^{2t}$ +Avec $y(0)=4=-1+K$, donc $K=5$ +$\boxed{y=(-1-t)e^t+5e^{2t}}$ + +## Exercice 5: +Voir exemple de recette 3 dans ## Pour les expressions d'ordre 2, de la forme $ay''+by'+cy=d$. + +## Exercice 6: +$\cases{y''(t)+y(t)=0 \\ y(0)=1 \\ y'(0)=0}$ + +$y=y_h$ + +Équation caractéristique: $x^2+1=0$. +$\Delta=b^2-4ac=0-4<0$ +$x=\frac{-b\pm\sqrt{-\Delta}}{2a}=\frac{0\pm i\sqrt{4}}{2}=\pm i$ + +$y_h=e^{ax}(A\cos{(bx)}+B\sin{(bx)})=e^0(A\cos{x}+B\sin{x})$ +$y=A\cos{x}+B\sin{x}$ + +$y(0)=A+0=1\implies A=1$ +$y'=-A\sin{x}+B\cos{x}$ +$y'(0)=B=0\implies B=0$ + +$\boxed{y=\cos{x}}$ + +## Exercice 8: +$\cases{x'(t)=y(t)+2\\y'(t)=x(t)+z(t)+e^t\\z'(t)=x(t)+y(t)+z(t)}$ +$$ +\begin{pmatrix} +x \\ y \\ z +\end{pmatrix}' += \begin{pmatrix} +0 & 1 & 0 \\ +1 & 0 & 1 \\ +1 & 1 & 1 +\end{pmatrix} +\begin{pmatrix}x \\ y \\ z\end{pmatrix} ++ \begin{pmatrix}2 \\ e^t \\ 0\end{pmatrix} +$$ +$$ +X_A(x)=\begin{vmatrix} +-X & 1 & 0 \\ +1 & -X & 1 \\ +1 & 1 & 1-X +\end{vmatrix} +$$ + +Déterminant d'une matrice carrée: + +$\begin{vmatrix}a&b\\c&c\end{vmatrix}=ab-cd$ + +$\begin{vmatrix}a&b&c\\d&e&f\\g&h&i\end{vmatrix}\begin{matrix}a&b\\d&e\\g&h\end{matrix}=aei+bfg+cdh-(gec+hfa+idb)$ + +$\begin{vmatrix}2&2&3\\0&1&0\\7&7&0\end{vmatrix}=\begin{vmatrix}0&2&3\\-1&1&0\\0&7&0\end{vmatrix}=0+0-21-0=-21$ + +Développement / à C3: +$det\,A=(-1)^{1+3}\times3\times\begin{vsmallmatrix}0&1\\7&7\end{vsmallmatrix}+(-1)^{2+3}\times0\times\begin{vsmallmatrix}2&2\\7&7\end{vsmallmatrix}+(-1)^{3+5}\times0\times\begin{vsmallmatrix}2&2\\0&1\end{vsmallmatrix}$ +$C_i\leftarrow C_i+\sum{\alpha_jC_j}$ + +$X'=AX+B$ +$X=\begin{pmatrix}x\\y\\z\end{pmatrix}$ + +$$ +\begin{pmatrix} +x \\ y \\ z +\end{pmatrix}' += \begin{pmatrix} +0 & 1 & 0 \\ +1 & 0 & 1 \\ +1 & 1 & 1 +\end{pmatrix} +\begin{pmatrix}x \\ y \\ z\end{pmatrix} ++ \begin{pmatrix}2 \\ e^t \\ 0\end{pmatrix} +$$ +$A=PDP^{-1} \rightarrow$ Diagonale + +![[TD2.jpg]] + + diff --git a/CalculDifferentiel/Laplace.md b/CalculDifferentiel/Laplace.md new file mode 100644 index 0000000..591c1bb --- /dev/null +++ b/CalculDifferentiel/Laplace.md @@ -0,0 +1,36 @@ +# Intégration par parties (IPP) + +Soit $( f, g \in \mathcal{C}^n([a,b]) )$. + +--- + +## (IP1) + +$$ +(\mathcal{L}(f))^{(n)}(t) = (-t)^n \, \mathcal{L}(x^n f(x))(t) +$$ + +--- + +## (IP2) + +Si \( f \) est de classe \( \mathcal{C}^n \) avec \( f^{(n)} \in \mathcal{L}^1(\mathbb{R}^+) \), alors : + +$$ +\mathcal{L}(f^{(n)})(p) += p^n \mathcal{L}(f)(p) +- p^{n-1} f(0) +- p^{n-2} f'(0) +- \dots +- f^{(n-1)}(0) +$$ + +--- + +## (IP3) + +Si \( f \) est la primitive de \( g \) qui s'annule en \( 0 \), alors : + +$$ +\mathcal{L}(f)(p) = \frac{\mathcal{L}(g)(p)}{p} +$$ diff --git a/CalculDifferentiel/attachments/TD2.jpg b/CalculDifferentiel/attachments/TD2.jpg new file mode 100644 index 0000000..4cc2301 Binary files /dev/null and b/CalculDifferentiel/attachments/TD2.jpg differ diff --git a/CommunicationOrale/EXE Battle de Hooks.docx b/CommunicationOrale/EXE Battle de Hooks.docx new file mode 100644 index 0000000..b337659 Binary files /dev/null and b/CommunicationOrale/EXE Battle de Hooks.docx differ diff --git a/CommunicationOrale/EXE Battle de Hooks.pages b/CommunicationOrale/EXE Battle de Hooks.pages new file mode 100644 index 0000000..36924a2 Binary files /dev/null and b/CommunicationOrale/EXE Battle de Hooks.pages differ diff --git a/CommunicationOrale/EXE Grille Analyse Lucchini_vente aux enchères.docx b/CommunicationOrale/EXE Grille Analyse Lucchini_vente aux enchères.docx new file mode 100644 index 0000000..f5d4c15 Binary files /dev/null and b/CommunicationOrale/EXE Grille Analyse Lucchini_vente aux enchères.docx differ diff --git a/CommunicationOrale/EXE Variations autour des tons .docx b/CommunicationOrale/EXE Variations autour des tons .docx new file mode 100644 index 0000000..3b770a6 Binary files /dev/null and b/CommunicationOrale/EXE Variations autour des tons .docx differ diff --git a/CommunicationOrale/EXE le duo narratif.docx b/CommunicationOrale/EXE le duo narratif.docx new file mode 100644 index 0000000..683f580 Binary files /dev/null and b/CommunicationOrale/EXE le duo narratif.docx differ diff --git a/CommunicationOrale/GoldenCircle.md b/CommunicationOrale/GoldenCircle.md new file mode 100644 index 0000000..051298f --- /dev/null +++ b/CommunicationOrale/GoldenCircle.md @@ -0,0 +1,23 @@ +Netflix + Why + Démocratiser la culture cinématographique en permettant à quiconque d'avoir accès aux films et séries produits dans le monde entier + How + En développant une plateforme de streaming facilement accessible sur tout appareil et navigateurs connus. + What + Un abonnement donnant accès au catalogue des milliers de films et de séries. + + +--- + +Télépartout ("**Où vous voulez, Quand vous voulez**") + Why + Permettre l'accès au voyage rapide, efficace et durable au plus grand nombre + How + En proposant un service de transport instantané d'un point A à un point B, accessible à tous, sur et efficace. + What + Un service de transport instantané. + + +--- + +Fermez les yeux deux secondes. Imaginez l’endroit idéal pour avoir une idée brillante… du calme, de l’espace, du silence. Maintenant, rouvrez-les : vous êtes en open space, avec 12 conversations autour de vous. Les uns sont en réunions commerciales, les autres sont au téléphone avec le support technique. Les potentielles idées sont noyées dans le brouhaha avant de voir le jour. Toujours aussi inspiré ? \ No newline at end of file diff --git a/CommunicationOrale/QUIZZ Votre_style_de_communication.docx b/CommunicationOrale/QUIZZ Votre_style_de_communication.docx new file mode 100644 index 0000000..d7b4c9b Binary files /dev/null and b/CommunicationOrale/QUIZZ Votre_style_de_communication.docx differ diff --git a/CommunicationOrale/QUIZZ Votre_style_de_communication.pages b/CommunicationOrale/QUIZZ Votre_style_de_communication.pages new file mode 100644 index 0000000..dde5eba Binary files /dev/null and b/CommunicationOrale/QUIZZ Votre_style_de_communication.pages differ diff --git a/ConceptionProduitMécanique/Drawing 2025-10-22 09.22.31.excalidraw.md b/ConceptionProduitMécanique/Drawing 2025-10-22 09.22.31.excalidraw.md new file mode 100644 index 0000000..fe7cb46 --- /dev/null +++ b/ConceptionProduitMécanique/Drawing 2025-10-22 09.22.31.excalidraw.md @@ -0,0 +1,106 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. 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V_z\end{vmatrix}_M$ + +Torseur statique +$\begin{vmatrix}X_{2\rightarrow1} & L_{2\rightarrow1} \\ Y_{2\rightarrow1} & M_{2\rightarrow1} \\ Z_{2\rightarrow1} & N_{2\rightarrow1}\end{vmatrix}_M$ + diff --git a/ConceptionProduitMécanique/Saucicator.key b/ConceptionProduitMécanique/Saucicator.key new file mode 100644 index 0000000..5932e24 Binary files /dev/null and b/ConceptionProduitMécanique/Saucicator.key differ diff --git a/CycleDeVieProduit/Créativité/Index.md b/CycleDeVieProduit/Créativité/Index.md new file mode 100644 index 0000000..2d5bbaf --- /dev/null +++ b/CycleDeVieProduit/Créativité/Index.md @@ -0,0 +1,48 @@ + +> [!NOTE] À retenir +> Le `` doit permettre à un `` de `` dans ``. + +Exemple de reformulation du besoin client: +Un pote: "Il me faut un logiciel qui puisse me permettre de savoir quelles cartes Pokémon je possède" +$$\downarrow$$ +Le logiciel `PokéCard` doit permettre à `mon pote` de `gérer sa collection de cartes Pokémon` dans `le but de faciliter ses échanges avec ses amis`. + +# Exercice 1: Sujet +- Nous désirons réaliser le logiciel embarqué d’un Guichet Automatique Bancaire, plus communément appelé GAB. Compte-tenu du temps imparti, on étudiera plus particulièrement la fonction essentielle du GAB, à savoir le retrait d’argent. +- Le client : + - Peut consulter l’état de son compte, ou bien retirer de l’argent. + - Pour y parvenir, il doit procéder classiquement en insérant sa carte, saisissant son code, … + +Le `Firmware du GAB` doit permettre à `un client de la banque` de `Consulter ses comptes et retirer de l'argent` dans `le but de gérer ses comptes à tout moment`. + +# Exercice 2 : Cycle de vie et parties prenantes +• Lister les différentes phases de vie, puis les parties prenantes du GAB : +Le GAB doit permettre à un client de pouvoir consulter l’état de son compte et retirer de l’argent via l’utilisation de sa carte bancaire 24h/24 et 7j/7. + +Phases de vie: +```mermaid +flowchart TD +Conception --> Développement --> Déploiement --> Utilisation --> Maintenance --> f["Fin de vie"] --> Conception +``` + +Analyse: Nous +Conception: Nous +Développement: Nous +Déploiement: Technicien +Utilisation: Le client de la Banque ou l'employé de la Banque +Maintenance: Développeur, technicien ou employé de la Banque +Administration: Le Banquier +Fin de vie: Technicien + + +![[Pasted image 20251016101653.png]] + +![[Pasted image 20251016102557.png]] + + +Story board du GAB + +![[Drawing 2025-10-22 16.25.26.excalidraw|1000]] + +![[Drawing 2025-10-24 16.11.20.excalidraw]] +![[Pasted image 20251024162613.png]] diff --git a/CycleDeVieProduit/Créativité/Media.md b/CycleDeVieProduit/Créativité/Media.md new file mode 100644 index 0000000..5b2bc7f --- /dev/null +++ b/CycleDeVieProduit/Créativité/Media.md @@ -0,0 +1,39 @@ +```mermaid +flowchart TD + %% Tâche racine + A[Commander un média] + + %% Séquence principale (>>) + A --> B[Sélectionner média] + B --> C[Gérer panier] + C --> D[Saisir infos de livraison] + D --> E[Payer la commande] + E --> F[Consulter confirmation] + + %% Détail : Sélectionner média + B --> B1[Consulter catalogue livrable] + B1 --> B2[Rechercher / filtrer médias] + B2 --> B3[Consulter fiche média] + B3 --> B4[Ajouter au panier] + + %% Détail : Gérer panier + C --> C1[Afficher panier] + C1 --> C2{Modifier quantités ?} + C2 -->|Oui| C3[Modifier quantités] + C3 --> C1 + C2 -->|Non| C4[Valider panier] + + %% Détail : Saisir informations de livraison + D --> D1[Choisir / saisir adresse] + D1 --> D2[Choisir mode de livraison] + + %% Détail : Payer la commande + E --> E1[Choisir moyen de paiement] + E1 --> E2[Saisir infos de paiement] + E2 --> E3[Confirmer paiement] + + %% Détail : Consulter confirmation + F --> F1[Afficher récapitulatif commande] + F --> F2[Notifier le client] + +``` diff --git a/CycleDeVieProduit/Créativité/attachments/Drawing 2025-10-22 16.25.26.excalidraw.md b/CycleDeVieProduit/Créativité/attachments/Drawing 2025-10-22 16.25.26.excalidraw.md new file mode 100644 index 0000000..603e44f --- /dev/null +++ b/CycleDeVieProduit/Créativité/attachments/Drawing 2025-10-22 16.25.26.excalidraw.md @@ -0,0 +1,250 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving' + + +# Excalidraw Data + +## Text Elements +Consulter mon compte ^dq2fLe8a + +M'authentifier ^w6hHgMiJ + +Retirer de l'argent ^J7bLKppY + +Consulter mon compte ^7maHwnO3 + +Retirer de l'argent ^IkhcTle2 + +Finaliser le retrait ^L8Y8fYKg + +Insérer ma carte ^LWwBxuxb + +Saisir mon code secret ^PUg0UWko + +Demander débit/crédit ^hDo3IXK4 + +Afficher le solde ^eYURCrFL + +Saisir le montant désiré ^uPdbaLrF + +Valider l'opération ^SJwxfB5j + +Choisir reçu ou pas ^OJM3hO87 + +Récupérer la carte ^xraUtgvx + +M'authentifier ^JcvSxwa7 + +Modifier mon code en cas d'erreur ^XrEMnHpp + +Lire le message d'erreur ^TGuB8GvS + +Lire nombre de saisies ^z8SW6Mfm + +Saisir mon code secret ^S0p2f3CS + +Annuler pour récupérer ma carte ^T5Qhd3Ey + +Choisir une option ^xNFetUou + +Choisir l'opération ^5YgD1319 + +Demander consultation ^2qMwKXRl + +Demander retrait ^DjxUY2Va + +Demander annulation ^ezQJIbal + +Choisir la composition de billets ^xFmjq6Gu + +Récupérer les billets ^wdRDVzus + +Récupérer le reçu ^5IjQ1jaL + +%% +## Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBGADYEmjoghH0EDihmbgBtcDBQMBKIEm4IIwAZAHYhAEUAFRqAVQBpAEkOgBZzAFYAcQBBAGYATig2VJLIWEQKwOwojmVg + +6dLMbmceEYAGbUSa+JGRvpHugA5Engu+QsgYLZ4++O0Rnl3dnjHu7pevsYjfilCgkdTcJIjbQ8Z4XMbxBHvC7xZ7AyCSBCEZTSbjI7Q1Z7PL6/eLdXbXNEQayrcSoXaU5hQUhsADWCAAwmx8GxSBUAMTxBCCwXrSCaXDYFnKZlCDjETnc3kSPm4PrEC4AMw1oogGsI+HwAGVYGsJIIPDrGcy2QB1MGSbh3GYQK2shDGmCm9Dm8qUmXYjjhXJoeKU + +thwCVqR4hz6U6XCOAdYjB1B5AC6lI15EySe4HCEBsphDlWAquF2OplcsDzBTxWdc1pI3uAF8GQgEMRcYkyQT4jVupTGCx2Fw0IldmMh0xWJwAHKcMQQmpwhE1Pp9en3MrMAAi6Sgne4GoIYUpmmEcoAosFMtkUwUZkV7qVGxVD5goKLSuUJMQAI48BqVQIBcuAQC+Lb3Bm25CHAxC4IeXYhjUiQIn83SJH0iSnJSRAcCyeYFvgeFsJKR5oCe+BhI + 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+0fEAsghAPUDKARxIaAtAVQFATl5EIQy6Ai4RuErtwAYnsBr4quU+gwgxSPaYrg5SF9AYhm2d3mYWorlfz95mmVAlD5OSsxG4FguWxGT5HEZdlAZVMSBl9OC+T35lgs0YgYKBL2V55vZ6BgiCAm2ENCTBsk/v9msqlDJOB65PBdeoRpfvjqHXpG/MIW8Gvch/kVAuwOyBqUkgIYikshAHIFO+YqfxApO/cHIYwglARHZoEHEmvhVF2EDUWIFmEPUW + +5+cQPn5pkhfgZjO4iQSI7C+jBJX4dF9Tp25JR8YULlFK0+U4m0hFmXHHd+/Xh3jO8K+R6m4pvcJuAQ0GcfSYhhWiT9kMmgqNNByi7cPrm+ZoOdSlxJAhQ+RAKjurGkpJohUAEZJu/r7QH+U4b2lZpjCtyXtxd3h7kNJT3n+6rBB4WtF+auWR0k2FmsDEVxFCRUkUpFaRRkVZFORdsgbCPaRcF9pJ/oKV3RkAcj4p52xuAC1QVIBxjGgViNBmzAGI + +JkAVAfMDiDAgDANyiiMxId/pag8CYUA50IgKMgdAh4PoDGgfUtCVOl0qqnrZAfpRkC6EbpV+ldFXpaGW+l/pW7Q9u17N6VhlUABGUBliJXGU+l90BmWBlDiQzaplCZRkDuwKJdmVplGZZmjmZx8EWW5liZU85LB5ZcWX6ALMG7mZ6TZXWUZAb2BnTBAGoG3S1l4Zf6WWlCOEMCRacaCEB0xA5emX+lV4HKCjlzIOOWvCZYGOXrAU5RmXzlbAK9ik + +OfUKuXxlnZS2WnIpZV6Ct4LoDRxcg+ANtL7IgJRZiXAXPu3BjUXpcwBnlBoFxhWQK/GkgYQq4EtCehTpegEGA1pYtwEAfsE0j4gfoYkDAEa5f6Wlla6o8iTFq5dKAkAKWV6UIVxAMaAIAxVjnq4mJAM3oIAs5bgCaAwQGQJYVw+bHC6E3QgsBLpuAAAAU/8dQC8A/YHRW0VdIMUgAAlDqCewygNcEdIj2OKA0VYiLwD8VDiHRX+KbFRBV7lQOK0h + +VlLMriVel36J7AW8xYKdTTFGAHagEVp0BvHYARABhVNZlIHah2lhpdshuwgcPdGUgN+BcRMAc4PVgmV24GZVsgoOqpWEV90RBV2AalB8TMAhoHahwAOFXhVqVRFRKDiwjAI0BsAXIABUSxYQMEBLALudKqMgBgI0AQYkThe5ZgBgLgERVZztyrqqjIEMCRVgVcFXBem5LRDgA9CN25dmFCFBAtgQAA== +``` +%% \ No newline at end of file diff --git a/CycleDeVieProduit/Créativité/attachments/Drawing 2025-10-24 16.11.20.excalidraw.md b/CycleDeVieProduit/Créativité/attachments/Drawing 2025-10-24 16.11.20.excalidraw.md new file mode 100644 index 0000000..6e071fb --- /dev/null +++ b/CycleDeVieProduit/Créativité/attachments/Drawing 2025-10-24 16.11.20.excalidraw.md @@ -0,0 +1,205 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving' + + +# Excalidraw Data + +## Text Elements +Intéraction IHM ^JL3lZ3Ac + +Action Abstraite ^DokVQs5u + +Application ^OAtOQ7US + +Retirer de l'argent ^zNQsAatp + +Choisir le montant ^lkMNBwPK + +Finaliser le retrait ^C8w1O6qU + +Saisir le montant ^EUrWYyVH + +Choisir les types +de billets ^pJJRgvQ0 + +Lire le message +d'erreur ^bMznOVkr + +[ ] ^2E35mM4V + +Reçu ^7ZbTnnxd + +Choisir si on +veut un reçu ^0Mu05Pst + +Récupérer le +reçu ^JjhTY8Eg + +Récupérer la +carte ^9ua8upCL + +Récupérer les billets ^P1Fl41vY + +%% +## Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBGADYEmjoghH0EDihmbgBtcDBQMBKIEm4IAAkYXAB1ABUANQBFAElSAE4hcNbMeswADQBHAFEAfVSSyFhECsdcfU5iSdLM + +bmcAFkSAdm0ADnieDYBWDZ4eAGZEi549/lKYdZ5EgAYEjuOeDu2jw/iXjobe6QCgkdTca77Y4Al7XH4vbYvC7xYFSBCEZTSCEXKEwuE8BFIlGFSDWZTBbgvVHMKCkNgAawQAGE2Pg2KQKgBieIIHk8laQTS4bD05R0oQcYgstkciS06zMOC4QLZAUQABmhHw+AAyrAKRJBB41TS6YzamDJNw+CSIKaGQg9TADegjeVUeLMRxwrk0MSphA2ErsGpH + +n6XlTbWLhHBWsRfag8gBdVHq8iZOPcDhCbWowiSrAVXAvNXiyXe5gJ4oBmbiXgkgC+1IQCGWaG2HUSHSOiWOd1tjBY7C4fp421Rg9YnAAcpwxNaI7CPntTnnmAARdJQVvcdUEMKozTCSUjYKZbIJ7O521CODEXDbtuoeLbRLxZHQvY7aGoogcelZjm+C/mwIo7mge74GEhRNoU1aQOUEgAFIADIXPgABaFwAILYGqtYVNumBQGqaxoM4FwdDi2wb + +BsAIbHsDHXLcqJhqgzhHHENFfj8DHHBcxzxMciSoqCxDgn6wnaDsHR7CuX5nMc2z9gGkjopiJFoDwxyomSLqRgG9qMtK7JcnyvJIIewqimWUqsqZcrkBwirKlkJGplqur6nWdqsu6tpGQgFriVaWnUrSDpOi6vnGh6whej63D+qUQbCqGSURqi0a3nGCbJqm6YIJmaBXsBtr5sQhYSLg8SlsexAVpeQHNuBqDKRsHaJFsIkDkwU4jqgXUTn1w6zh + 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b/CycleDeVieProduit/ProjetFilRouge.pages differ diff --git a/CycleDeVieProduit/ProjetFilRouge.pdf b/CycleDeVieProduit/ProjetFilRouge.pdf new file mode 100644 index 0000000..a4d240e Binary files /dev/null and b/CycleDeVieProduit/ProjetFilRouge.pdf differ diff --git a/CycleDeVieProduit/TD2/Aquaboost.md b/CycleDeVieProduit/TD2/Aquaboost.md index 94cecae..77b85ea 100644 --- a/CycleDeVieProduit/TD2/Aquaboost.md +++ b/CycleDeVieProduit/TD2/Aquaboost.md @@ -28,125 +28,337 @@ Débit de sortie ^dib1MOgr Eau rejetée ^8x4VsbRU +A0 ^FsZLri6B + +Niveau de trop plein ^C5fiaciL + +Débit d'entrée ^uuEp5upz + +Débit de sortie ^1eN59Qg0 + +A1 ^Gyyl46vZ + +A2 ^F5xI5pJI + +A3 ^lfmgjN2U + +A4 ^vwqU500X + +A5 ^VYYkkAl1 + +Récupérer ^Xbej2nLA + +Eau de pluie dans une goutière ^Jt547y0Z + +Mesurer le niveau ^EjdX1W4k + +Refouler ^DzErYKAM + +Eau rejetée ^7IE4kxSj + +Filtrer ^JGflqsCz + +Stocker ^xuiOu561 + +Redistribuer ^8q4dCxlg + +Eau non potable pour le réseau domestique ^zBFBwZR9 + +A6 ^aYnOWuqf + +Aquaboost ^LT8RAa4s + +Flotteur ^beEKGCel + +Tube flexible ^KYC4hOG9 + +Filtre mécanique + ou biologique ^YM75itYY + +Cuve +bac fermé ^IWpnqjgO + +Répartiteur + pompe ^ptVLECb9 + +Clapet ^jheQh6eO + %% ## Drawing ```compressed-json -N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBGAFZtAGYaOiCEfQQOKGZuAG1wMFAwMogSbgh9AFEUjgA1AHEAKQB9AHVJbGwAFnjSAEkG5QAGXoB5dLLIWEQqwOwojmVg +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBGADYEmjoghH0EDihmbgBtcDBQMBKIEm4IfQBRAGYOADUAcQApAH0AdUlsbAAWeNIASXrlAAYegHlUkshYRArA7CiOZWCp 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For more info check in plugin settings under 'Saving' + + +# Excalidraw Data + +## Text Elements +ESTIA ^IRZgx43A + +Consommation d'énergie ^mCSo72dN + +Produit ^2OpPqrEr + +Permettre aux usagers de l'ESTIA d'ajuster leur consommation d'électricité en fonction de la production d'énergie verte dans le bâtiment ^M721uhmn + +%% +## Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBGADYEmjoghH0EDihmbgBtcDBQMBKIEm4ITQBHADMAQQAlADVsAGkAEXaYAEV6fQApAHEAGTgAYQBWMdSSyFhECsDsKI5l + +YJnSzG5nAGYk7USADh4ATh2AdkSeHgAGc5ud/lKYbnib7XOk+M+eRIAWf6HP47Q5PSAUEjqbgAw7aQ6HG7xQ7nE7wniHeI8CZgqQIQjKaSvB7aP73B7fEHozHYwqQaxrcSoG445hQUhsADWCDGbHwbFIFQAxPEECKRRtIJpcNgOcp2UIOMQeXyBRI2dZmHBcIFshKIDVCPh8ABlWDrCSCDx61nsrkAdUhkm4fFpEBtnIQppg5vQlvKOPlBI44Vya + 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+gI+q/b874X+yHH774BZTdKHX+797/7+hsF7X9H83974aBa6o+H/38X4yDmosfF737P6gC3/bkFY1sD+f439f6X//qu5v4v8t+cWKzk92r639z+GQQvh1UGo9UoyqBefgfwyA3g4yXVOAVwm1DhlT+P/LfrALJiPoIAQUbAUgP0DtxRkl/H0EFjdDYB2QRoAABqrhMQcdI6CBDsrzQtOw/ZgDQN5D4AeEq4YxDUR6L/BL88Yb4NXyMBsADAxfDCgQ + +CoSvAM8iAu/voEv6ccMwhAoaO3zlAkAV2AhYfloOICmgEAcrL/pAH0EARs4CAFAbgE0DBAjuegkWI32SQcI+EvILhDrClAAAKCHNQF4BiDfB5wHwe8AmAABKPUKQmUAlhtQiwZQJ4M0zMh4K8QuIYEOyqhCFBEAq7PUjmpwJleRbTIKQgrAiwvSyyJqqYRsHktlukAbAOoiB44hTC5fNPhGCmxJEGhroHmKQC5CkAFwkmGoa0O1AdCrBZQ03lQgU + +F2BaY4CHIMaFMJwBzB+MAYbYOd7D9pQMsRgGTEkH4BpBlKAgWEHjiVoV4DMAwPgMHQ6ccmLFEgnmAMDGh0gucCaizUBhak6g6sFYWsL3TZ8guq+Q0OEGL7QROwQAA=== +``` +%% \ No newline at end of file diff --git a/CycleDeVieProduit/TD3/DiagrammePieuvre.md b/CycleDeVieProduit/TD3/DiagrammePieuvre.md new file mode 100644 index 0000000..7f7bf8d --- /dev/null +++ b/CycleDeVieProduit/TD3/DiagrammePieuvre.md @@ -0,0 +1,130 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving' + + +# Excalidraw Data + +## Text Elements +Produit ^cbrAFxAW + +Capteur conso ^Uo8fK0CF + +Usagers ^vqU1BC7w + +Centrale de production d'énergie verte ^jYmefdmW + +PC portable ^lFE1lvrH + +Réseau informatique interne ^xOotpSeN + +FC1 ^mrhfmwHz + +FC2 ^APOTOavi + +FC3 ^a0RrfkVU + +FC4 ^6JgXWFFZ + +FC5 ^efKSMbMW + +FP1 ^EKD15DAV + +FC6 ^I6GIVEOs + +%% +## Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBGADYEmjoghH0EDihmbgBtcDBQMBKIEm4IAAUAJQAGUgAWUigARQAVACt4gHYAMWVSAEEACQpSUmVUkshYRAqgojkkflLM + +bmcAZgAObQBWRK3EnlrdjY3ThoBOXYaVyBh1+Nra7S3u7q34nkvE7vits4bO4QCgkdTcHjHV5bG4bbq1eI9f7dXbAyQIQjKaQQqFbGENOEIpFvVGFSDWZTBbi1YHMKCkNgAawQAGE2Pg2KQKgBieIIPl8qalTS4bCMgbCDjENkcrkSenWZhwXCBbJCyAAM0I+HwAGVYFSJIIPOqIHSGcyAOpgyQQ2n0pkIfUwQ3oY3lYEMvySDjhXJoeLAtjK7Bq + 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+cqtGeFKrlRSOF2M6StwvAA1QgEcAOAPqBujClnw6ITIGOziQrAGA0RXplvMRU8gNQ/qgNUKAgDYARA68WMPuH0D6h72sKx9oUGDWhrQo4ajIDhh9VPDfFGg+NeMETURregI0pWR6pDVZrsgSayNbRNZqQBC1YaiNVGtPnYqUCmaqtRkGqBAdZpDa7NRkDJzRLWSBahNcWpzXp0NxyquNZWvbX6BeguCpOcOt7VQAS1yKVVRvDbV9qMgDq4pgcq0K + +LqZ1Eai8ILz57wCGC+bINSOqXX6B3ObQTfPPEPXTqS1vQL+M2tdAz4zQ2ABkDqGdQaZ7EDaLyjlhXAZwPVzAJ9eyHwDt5YykaAELsMhAVln8iVCAEYDYAGAnV6yAgPrGpDaATem0LYIjg3Ulrm11YrdLiqlBBqBgJAFcRhQ9WEbiA+oBAL5KIXXySAzsBGAgG3VIVggU4mjb6pjwDgcM7IW2BMBFAAAKHWtQF4A9BBNAm1BnsAACUpoLWMoFzAqg + +KgPG3APxuvK8BlNapGkGJt2CSaMNR61GPUk7XdEoFHqslVrELAywue1sLIExtujsKK1iwR8WasgCypXVkUu8sICgDX0XNwIH2qQGZCkBZwQyezXeW82+bGNyFRqLqgw12AOgCAKwswF1Cyo4AdG9qKFuY3gKgEYRRgG0Fg34B4NJpI0OkDCIjgOYQgOkAYDPUPoaRRjLlemAMBnVgghWpAXSI9Z0hBgGWhAFlvZAPJKI4AZ9HbG1DhAIEYEJsEAA +``` +%% \ No newline at end of file diff --git a/CycleDeVieProduit/TD3/Index.md b/CycleDeVieProduit/TD3/Index.md new file mode 100644 index 0000000..c391e36 --- /dev/null +++ b/CycleDeVieProduit/TD3/Index.md @@ -0,0 +1,18 @@ +# Bête à corne +![[BeteACorne]] + +# Diagramme Pieuvre +![[DiagrammePieuvre|1000]] + +| Contrainte | Description | +| ---------- | ----------------------------------------------------------------- | +| FC1 | Récupérer les données en temps réel de production d'énergie verte | +| FC2 | Récupérer les données en temps réel de consommation | +| FC3 | Déterminer la demande (nombre de pc branchés) | +| FC4 | Envoyer les infos de dispo | +| FC5 | Respecter la vie privée | +| FC6 | Savoir si le PC est branché | +| FP1 | Permettre à l'usager de connaitre la dispo d'énergie verte | + +# SADT +![[SADT|1000]] diff --git a/CycleDeVieProduit/TD3/SADT-A0-.md b/CycleDeVieProduit/TD3/SADT-A0-.md new file mode 100644 index 0000000..67f44b8 --- /dev/null +++ b/CycleDeVieProduit/TD3/SADT-A0-.md @@ -0,0 +1,164 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving' + + +# Excalidraw Data + +## Text Elements +Dispositif Alerte Production ^44maUcuh + +"Branchez!" ^KqZPJqyA + +"Débranchez!" ^wUma6ya6 + +Récupérer les données ^0tUbNWCL + +Données de conso ^KpJA04DZ + +Données de prod ^HYLi1eir + +Électricité? ^IEtzJVnb + +Temps réel ^E8J2R1C0 + +Protocol Réseau ^OK7R80cq + +Nombre de pc à l"ESTIA ^sRIiotoT + +Identifier le nombre branchés ^nNyZdIz1 + +Évaluer ^JHbwPkNC + +Disponibilités ^fg2aiW0M + +Besoins ^93veLaFG + +Alerter ^aYP8rLeN + +%% +## Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBGADYEmjoghH0EDihmbgBtcDBQMBKIEm4IAHEAIQAJeIAzABUoAEcAdTgAaWqoABkAKS6AKwBhMgARVJLIWEQKwOwojmVg + +6dLMbmcAZgAGAA5tXd34ngBORLOzgHZd2+3+Upgtnmu43YAWeOPd7cTEnjfM4fR6QCgkdTcRIAVkOPESH32Zx40Ou+1O0NBUgQhGU0m40J422012hCMubxhAMxhUg1lW4lQuyxzCgpDYAGsEKM2Pg2KQKgBieIIEUi9aQTS4bAc5TsoQcYg8vkCiRs6zMOC4QLZCUQBqEfD4ADKsDWEkEHj1rPZXPaEMk3D4tIgNs5CFNMHN6Et5Sx8rxHHCuTQ8 + +SxbC12DUz1DxyxcuEcAAksQQ6g8gBdLENciZFPcDhCI1YwiKrAVXC7PXyxVB5hp4ozaDwRnbWkAXxZCAQxCh0Iu22uV32WMYLHYXFDiQeLrHrE4ADlOGJuPFEejtjwDs6m4RmBN0lAe9wGgQwljNMJFQBRYKZbJpwvFl1CODEXBH3uh66JXbQj7nEOiIzk2RAcByBZFvgWJ8jKx5oKe+BhIUnaFI2kDlBIABqoxNDArTxKoAD614DAAikmPCVByT + +T7DAQgAEp6nMjIQNq7JUFimxoDs/zaDwHy7ICZzxEkgK7MCWIxqgzhbu8A48Ps1zbNCKnxGSWLgsQkKhopCRnNsm77PsqIAfExlYpIOJ4lA3DMi69LevZTZulyyr8kKYqikgF7SrKNZKryHlquQHCatqWS2dmhommarG+r2LJsu69raY6aA7qUrkenFFQJdWwiBsGq7hpG0arnGLoJq+KZppm2a5gg+ZoE+0EuqWxDlhIuDxAVCrEHWDa0rMLZOh + 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a/CycleDeVieProduit/TD3/SADT.md b/CycleDeVieProduit/TD3/SADT.md new file mode 100644 index 0000000..a79a9e4 --- /dev/null +++ b/CycleDeVieProduit/TD3/SADT.md @@ -0,0 +1,118 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving' + + +# Excalidraw Data + +## Text Elements +A0 ^CEnNGifV + +Connaitre les disponibilités en énergie verte ^p043ZfmS + +Données de conso ^qhR9wwJS + +Données de prod ^bz9k3Qw1 + +Nombre de pc branchés ^qBVSE3Su + +Alerte ^GXLgWf3Y + +Dispositif Alerte Production ^Z6I7UPFM + +Électricité? ^AYxZqMFg + +Temps réel ^JB1aFyy5 + +Protocol Réseau ^2u3G4Av5 + +%% +## Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBGADYEmjoghH0EDihmbgBtcDBQMBKIEm4IAA4AFQAGADMATgAFaPiAKQBNAFkAcR4AYXqAVWIAR27m1JLIWEQKwOwojmVg + +6dLMbmd42oAWbUbG2p5dxsSAZnOAdkqjxP5SmC34y+1K+Pj3y4BWXdOePiFSAUEjqbgA87aWrxXY8SoAniJb6JHjfB6QSQIQjKaTcF7fbQAl67c6HXYw2oo9EQayrcSoWrU5hQUhsADWCAGbHwbFIFQAxPEEEKhetIJpcNg2cpWUIOMQuTy+RIWdZmHBcIFsmKIPVCPh8ABlWBrCSCDw65msjkAdVBknBTJZ7IQxpgpvQ5vK1NlOI44VyaHi1LYG + 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files /dev/null and b/DevWebStatique/JournalDeBord-séance-6.pdf differ diff --git a/DevWebStatique/Rapport - séance 6 - Mar. 14 octobre 2025.pages b/DevWebStatique/Rapport - séance 6 - Mar. 14 octobre 2025.pages new file mode 100644 index 0000000..f3a31ec Binary files /dev/null and b/DevWebStatique/Rapport - séance 6 - Mar. 14 octobre 2025.pages differ diff --git a/DevWebStatique/Rapport - séance 7 - Mar. 14 octobre 2025.pages b/DevWebStatique/Rapport - séance 7 - Mar. 14 octobre 2025.pages new file mode 100644 index 0000000..827d7fb Binary files /dev/null and b/DevWebStatique/Rapport - séance 7 - Mar. 14 octobre 2025.pages differ diff --git a/DevWebStatique/Rapport - séance 7 - Mar. 14 octobre 2025.pdf b/DevWebStatique/Rapport - séance 7 - Mar. 14 octobre 2025.pdf new file mode 100644 index 0000000..8932f00 Binary files /dev/null and b/DevWebStatique/Rapport - séance 7 - Mar. 14 octobre 2025.pdf differ diff --git a/DevWebStatique/séance-6/index.html b/DevWebStatique/séance-6/index.html new file mode 100644 index 0000000..512efa0 --- /dev/null +++ b/DevWebStatique/séance-6/index.html @@ -0,0 +1,112 @@ + + + + + + + + + Page HTML5 — Démonstration + + + + + + +
+

Exemple de page HTML5 conforme au W3C

+

Réalisation dans le cadre du module Développement Web Statique

+
+ + +
+ +
+

Présentation

+

+ Cette page a été réalisée pour illustrer l’utilisation des éléments + sémantiques en HTML5 tout en respectant les standards du W3C. + Elle contient une image, une liste, un tableau, un lien et du texte, comme demandé dans l’exercice. +

+ +
+ Logo HTML5 +
Logo officiel de HTML5.
+
+
+ + +
+

Les éléments sémantiques HTML5

+

+ HTML5 introduit plusieurs balises sémantiques telles que : +

+ +
    +
  • <header> – en-tête du document
    • +
  • <nav> – zone de navigation
    • +
  • <article> – contenu autonome
    • +
  • <section> – division thématique
    • +
  • <footer> – bas de page
    • +
+
+ + +
+

Les standards du W3C

+

+ Le W3C (World Wide Web Consortium) est une organisation qui définit + les normes du web. Ces règles assurent que les sites soient accessibles, compatibles et + bien structurés. +

+

+ Pour plus d’informations, consultez le site officiel : + + W3C.org. +

+
+ + +
+

Comparaison entre HTML et HTML5

+ + + + + + + + + + + + + + + + + + + + + + + + + +
CritèreHTMLHTML5
SémantiquePeu développéeBalises explicites (header, footer, etc.)
Support multimédiaUtilise des plugins (Flash, etc.)Intégré (audio, vidéo)
CompatibilitéAncienne normeStandard W3C actuel
+
+
+ + +
+

© 2025 - Équipe Persistent Lagoons

+

Page validée selon les standards du W3C Validator.

+
+ + + + \ No newline at end of file diff --git a/English/Article.md b/English/Article.md new file mode 100644 index 0000000..2d3c340 --- /dev/null +++ b/English/Article.md @@ -0,0 +1,9 @@ +https://www.cnbc.com/2025/11/18/cloudflare-down-outage-traffic-spike-x-chatgpt.html + +Intro: The article +Context: What is CloudFlare? +What happened and what was affected +Market value drop 5% +Service provider outages: AWS, Azure, and The CrowdStrike Incident (July 2024) +Debate question: Should critical infrastructures be completely independent from service providers to operate ? + diff --git a/English/Audio.md b/English/Audio.md new file mode 100644 index 0000000..e69de29 diff --git a/English/Index.md b/English/Index.md index aa312c1..b8b6dce 100644 --- a/English/Index.md +++ b/English/Index.md @@ -91,3 +91,42 @@ Do you think music is important? Notes ![[Pasted image 20251007151529.png]] + + +![[Pasted image 20251014140304.png]] +A few years ago, I bought and read "The Art of War" by Sun Tzu. It is a very old book written by a Chinese general, and it contains a couple hundreds of battle tips. It is organized in a few chapters, 9 if I recall correctly, and it is written in the form of a list of quotes such as "If you know your enemy, and you know yourself, then you shall not fear the outcome of a hundred battles". I bought this book because I had heard about it from a YouTuber, who praised it as one of the best books he had ever read. Even though the contents of this book should be completely obsolete in the era of autonomous drones and nuclear warheads, it is still very adequate in a variety of contexts. I would say this book has radically changed my way of approaching most issues. + +Notes from teacher: +- "Relevant" would be better suited than "adequate" in this context. +- Don't hesitate to go a little bit off topic. + +--- +Tue. 21 / 10 / 2025 + +Section 1: +Questions 1-5 +1. 9h30 +2. Helendale +3. Central Street +4. 792 +5. 8h55 +Questions 6-10 +6. $1.80 +7. 7h30 +8. $7.15 +9. Commuter +10. Afternoon + +Section 2: +Café +Book reservation +Location of rooms +1. Quilt shop: +2. Handicrafts Museum: +3. School House: + +Section 3: +1. 1 +2. 3 +3. 2 + diff --git a/English/attachments/Pasted image 20251014140304.png b/English/attachments/Pasted image 20251014140304.png new file mode 100644 index 0000000..bbe48cc Binary files /dev/null and b/English/attachments/Pasted image 20251014140304.png differ diff --git a/EnjeuxSocioEco/TD2.pdf b/EnjeuxSocioEco/TD2.pdf new file mode 100644 index 0000000..f82e35e Binary files /dev/null and b/EnjeuxSocioEco/TD2.pdf differ diff --git a/EnjeuxSocioEco/TD3.pdf b/EnjeuxSocioEco/TD3.pdf new file mode 100644 index 0000000..60fcc85 Binary files /dev/null and b/EnjeuxSocioEco/TD3.pdf differ diff --git a/EnjeuxSocioEco/podcast.pages b/EnjeuxSocioEco/podcast.pages index ff6602b..da2e6bc 100644 Binary files a/EnjeuxSocioEco/podcast.pages and b/EnjeuxSocioEco/podcast.pages differ diff --git a/EnjeuxSocioEco/podcast.pdf b/EnjeuxSocioEco/podcast.pdf new file mode 100644 index 0000000..dd80672 Binary files /dev/null and b/EnjeuxSocioEco/podcast.pdf differ diff --git a/Español/Index.md b/Español/Index.md index 8145111..1d29b5d 100644 --- a/Español/Index.md +++ b/Español/Index.md @@ -216,3 +216,130 @@ Escucha a dos personas y marca la información que se refiere a Marta, a Antonio | 7. Quiere conocer una cultura diferente.
| x | x | | 8. Busca naturaleza.
| x | x | | 9. Tiene pocos días de vacaciones. | x | | + +--- +# Martes, 14 de octubre 2025 + +![[Mi casa.pdf]] + +![[Pasted image 20251014162711.png]] + + +¿Donde esta el espejo? El espejo esta detras de la persona con la camiseta amarillo y es azul y gris. Espejo ->$11$ + +Armario -> 8 +El sofa -> 1 El sofa esta en la isquina izquierda y es de color azul. +La alfombra -> 9 +el ordenador -> 14 El ordenador esta sobre una mesa y es amarillo. +la cama -> 12 +la librería -> 7 La libreria esta al lado de la alfombra. +el sillón -> 15 +la nevera -> 3 +la silla -> 2 La silla esta a la izquierda de la nevera y es verde. +el cuadro -> 4 El cuadro esta a la derecha de la nevera, es un cuadro de dos montañas. +la lavadora -> 10 La lavadora esta a la izquierda de la cama y es gris y roja. +el televisor -> 5 La tele esta en la cima de la maleta violeta. +la mesa -> 16 +la estantería -> 6 +la lámpara -> 13 + + + +1. Las tiendas estan abiertas todavia. +2. La mujer que esta al lado de Carlos, es la directora. +3. Madrid es la capital de España y esta en el centro. +4. Ellos estan en la discoteca, pues hoy es fiesta. +5. La silla que esta a la izquierda de la puerta es de madera. +6. Este libro esta muy bien, es muy interesante. +7. Hace mucho tiempo que tengo mi coche, es muy viejo, pero esta muy nuevo. +8. El mercado no esta lejos de aqui. +9. El hombre que es alto y moreno es mi hermano. +10. Los servicios estan a la derecha. +11. Este ejercicio es muy dificil. +12. La boda de mi hermano es en el restaurante Miramar. +13. No hay prisa, es ponto todavia? +14. El mar esta a pocos kilometros de aqui. +15. La lentejas estan muy sosas, ¿no les has echando sal? +16. ¿Ya estas listo? Pues vamonos, es tarde. +17. Se caso con una viuda que es muy rica. +18. Mi habitacion es grane y siempre esta desrdenada. +19. --- +20. Madrid esta bien para visitar museos. +21. El examen esta en aula 223. +22. --- +23. ¿Estais contentos con el hotel? + Si, es un hotel limpio y barato. + + +--- +Martes, 21 de Octubre 2025 +El piso de Julian es un atico de 55$m^2$, esta en el centro, tiene mucha luz, un habitacion, una cocina americana, un acensor. Da a una calle y un mercado. + +Tus hermanas estan cansadas, ¿no? +**mi** hermana Eva no esta cansada, pero Luisa si. **su** marido es de Canada y tienen dos hijos de 4 y 5 años. Son muy guapos. +¿Y en que lengua hablan con **sus** hijos? +En ingles y en español. +¡Que suerte tienen **tus** sobrinos! Yo tengo 35 años y hablo muy mal ingles... + +![[Pasted image 20251021164403.png]] + +![[Pasted image 20251021164411.png]] +8. a +9. b +10. a +11. b + +--- +# Martes, 18 de noviembre 2025 + +![[Pasted image 20251118162202.png]] + +Escribe los verbos anteriores en el lugar correspondiente y completa la +conjugación. + +| Hacer | Poner | Salir | Traer | Caer | +| ------- | ------- | ----- | ------ | ----- | +| Hago | Pongo | Salgo | Traigo | Caigo | +| haces | pones | | | | +| hace | pone | | | | +| hacemos | ponemos | | | | +| hacéis | ponéis | | | | +| hacen | ponen | | | | + +| Ver | Saber | Dar | Conocer | Valer | +| --- | ----- | --- | ------- | ----- | +| Veo | Se | Doy | Conozco | Valgo | + +Ver la tele: algunas veces por la noche +Salir con los amigos: 2 o 3 vezes por semana +Ir la cine: Una vez por semana +discoteca: Nunca, no le gustan +leer un libro: Todo los dias +deporte: todos los fines de semana +conciertos: casi nunca, son muy caros +viajar: Una vez al año +jugar videojuegos: Muchas veces + + +--- +# Martes, 25 de noviembre 2025 + +Completa con gustar o encantar (cuando está indicado) +1. A Juan le gusta jugar a la ajedrez. +2. A mis hijos les gusta mucho el chocolate. +3. A los niños les env (encantar) jugar en el parque. +4. A nosotros nos gusta la tortilla de patata. +5. ¿A ti te gustan las películas de Javier Bardem? +6. A vosotros no os gusta jugar a tenis. +7. A ellos les gusta la música clásica. +8. A ti te encanta (encantar) las películas de terror. +9. A nosotros no nos gusta el arte moderno. +10. ¿A ti te gustan los animales? +11. A nosotros nos encanta (encantar) viajar por el mundo. +12. A ellos no les gustan nada los libros. +13. A María les gustan los deportes acuáticos. +14. A mi hermano le gusta mucho ver partidos de fútbol en la tele. +15. ¿A vosotros os gusta cocinar? +16. A ti te encantan (encantar) las flores, ¿verdad? +17. A ellos les encanta (encantar) escuchar música clásica por las mañanas. + diff --git a/Español/S6.md b/Español/S6.md new file mode 100644 index 0000000..e69de29 diff --git a/Español/attachments/Mi casa.pdf b/Español/attachments/Mi casa.pdf new file mode 100644 index 0000000..43a3d06 Binary files /dev/null and b/Español/attachments/Mi casa.pdf differ diff --git a/Español/attachments/Pasted image 20251014162711.png b/Español/attachments/Pasted image 20251014162711.png new file mode 100644 index 0000000..17eebd0 Binary files /dev/null and b/Español/attachments/Pasted image 20251014162711.png differ diff --git a/Español/attachments/Pasted image 20251021164403.png b/Español/attachments/Pasted image 20251021164403.png new file mode 100644 index 0000000..447d886 Binary files /dev/null and b/Español/attachments/Pasted image 20251021164403.png differ diff --git a/Español/attachments/Pasted image 20251021164411.png b/Español/attachments/Pasted image 20251021164411.png new file mode 100644 index 0000000..1207c27 Binary files /dev/null and b/Español/attachments/Pasted image 20251021164411.png differ diff --git a/Español/attachments/Pasted image 20251118162202.png b/Español/attachments/Pasted image 20251118162202.png new file mode 100644 index 0000000..66c2074 Binary files /dev/null and b/Español/attachments/Pasted image 20251118162202.png differ diff --git a/MathématiquesGénérales/CI-SST81E6_Cours.pdf b/MathématiquesGénérales/CI-SST81E6_Cours.pdf new file mode 100644 index 0000000..9be6883 Binary files /dev/null and b/MathématiquesGénérales/CI-SST81E6_Cours.pdf differ diff --git a/MathématiquesGénérales/Index.md b/MathématiquesGénérales/Index.md new file mode 100644 index 0000000..a9ff053 --- /dev/null +++ b/MathématiquesGénérales/Index.md @@ -0,0 +1 @@ +![[CI-SST81E6_Cours.pdf]] diff --git a/ModélisationEnMeca/exam-rep.pdf b/ModélisationEnMeca/exam-rep.pdf new file mode 100644 index 0000000..1cf1892 Binary files /dev/null and b/ModélisationEnMeca/exam-rep.pdf differ diff --git a/ModélisationEnMeca/⚙️ GUIDE GÉNÉRAL — MODÉLISATION DES MÉCANISMES.md b/ModélisationEnMeca/⚙️ GUIDE GÉNÉRAL — MODÉLISATION DES MÉCANISMES.md new file mode 100644 index 0000000..571bace --- /dev/null +++ b/ModélisationEnMeca/⚙️ GUIDE GÉNÉRAL — MODÉLISATION DES MÉCANISMES.md @@ -0,0 +1,224 @@ +_(Cinématique → Statique → Cinétique → Dynamique → Équilibre Dynamique)_ + +## I. CINÉMATIQUE + +### Repères et variables + +Deux repères : + +- $R_0(O,\vec{x_0},\vec{y_0},\vec{z_0})$ fixe et galiléen + +- $R_1(O,\vec{x_1},\vec{y_1},\vec{z_1})$ lié au solide + +Angle $\theta$ en radians. Vitesse angulaire $\dot{\theta} = \dfrac{d\theta}{dt}$ en rad s$^{-1}$. Accélération angulaire $\ddot{\theta} = \dfrac{d^2\theta}{dt^2}$ en rad s$^{-2}$. + +### Changement de base dans le plan $x_0y_0$ + +$$ +\begin{cases} +\vec{x_1} = \cos(\theta)\,\vec{x_0} + \sin(\theta)\,\vec{y_0} \\ +\vec{y_1} = -\sin(\theta)\,\vec{x_0} + \cos(\theta)\,\vec{y_0} +\end{cases} +$$ + +### Dérivation dans une base mobile (formule de Poisson) + +Vecteur rotation +$$ +\vec{\Omega}_{1/0} = \dot{\theta}\,\vec{z} +$$ +Formule +$$ +\left(\dfrac{d\vec{u}}{dt}\right)_{R_0} = \left(\dfrac{d\vec{u}}{dt}\right)_{R_1} + \vec{\Omega}_{1/0} \wedge \vec{u} +$$ +Applications aux axes +$$ +\begin{cases} +\dfrac{d\vec{x_1}}{dt}\Big|_0 = \dot{\theta}\,\vec{y_1} \\ +\dfrac{d\vec{y_1}}{dt}\Big|_0 = -\dot{\theta}\,\vec{x_1} +\end{cases} +$$ + +### Vitesse d’un point + +$$ +\vec{V_B} = \vec{V_A} + \vec{AB} \wedge \vec{\Omega}_{1/0} +$$ + +### Accélération d’un point + +$$ +\vec{\Gamma_B} = \vec{\Gamma_A} + \vec{AB} \wedge \dot{\vec{\Omega}}_{1/0} + \vec{\Omega}_{1/0} \wedge \big(\vec{\Omega}_{1/0} \wedge \vec{AB}\big) +$$ +Cas rotation autour d’un axe à distance $R$ +$$ +\vec{\Gamma_B} = R\big(\ddot{\theta}\,\vec{y_1} - \dot{\theta}^{2}\,\vec{x_1}\big) +$$ + +--- + +## II. STATIQUE + +### Torseur d’action mécanique au point $A$ + +$$ +\mathcal{T} = +\begin{Bmatrix} +\vec{F} \\ +\vec{M_A} +\end{Bmatrix}_A +$$ + +### Changement de point + +$$ +\vec{M_B} = \vec{M_A} + \vec{BA} \wedge \vec{F} +$$ + +### Torseurs usuels + +Poids appliqué en $G$ +$$ +\mathcal{T}_P = +\begin{Bmatrix} + +- m g\,\vec{y_0} \\ + \vec{0}_G + \end{Bmatrix} +$$ +Liaison pivot au point $O$ +$$ +\mathcal{T}_{\text{pivot}} = +\begin{Bmatrix} +F_x\,\vec{x_1} + F_y\,\vec{y_1} \\ +\vec{0}_O +\end{Bmatrix} +$$ + + +### Somme des actions extérieures au point $O$ + +$$ +\sum \mathcal{T}_{\text{ext}} = +\begin{Bmatrix} +\sum \vec{F_i} \\ +\sum \vec{M_{O,i}} +\end{Bmatrix}_O +$$ + +--- + +## III. CINÉTIQUE + +### Masse et volume + +$$ +m = \rho V +$$ + +### Moment d’inertie + +Définition +$$ +I = \int r^2\,dm +$$ +Usuels +$$ +I_{\text{disque}} = \tfrac{1}{2} m R^2 +$$ +$$ +I_{\text{barre, axe extrémité}} = \tfrac{1}{3} m L^2 +$$ + +### Moment cinétique + +$$ +\vec{H_G} = I\,\vec{\Omega}_{1/0} = I\,\dot{\theta}\,\vec{z} +$$ + +### Torseur cinétique + +Au point $G$ +$$ +\mathcal{T}_{ci(1/0)} = +\begin{Bmatrix} +m\,\vec{V_G} \\ +\vec{H_G} +\end{Bmatrix}_G +$$ +Transport au point $O$ +$$ +\vec{H_O} = \vec{H_G} + \vec{OG} \wedge \big(m\,\vec{V_G}\big) +$$ + +--- + +## IV. DYNAMIQUE + +### Principe fondamental de la dynamique + +Forme torseur +$$ +\sum \mathcal{T}_{\text{ext}} = \mathcal{T}_{dy(1/0)} +$$ + +### Torseur dynamique au point $G$ + +$$ +\mathcal{T}_{dy(1/0)} = +\begin{Bmatrix} +m\,\vec{\Gamma_G} \\ +I\,\ddot{\theta}\,\vec{z} +\end{Bmatrix}_G +$$ + +--- + +## V. ÉQUILIBRE DYNAMIQUE + +### Mise en équations par projections + +Point de départ +$$ +\sum \mathcal{T}_{\text{ext}} = \mathcal{T}_{dy} +$$ +Projections typiques pour une rotation de rayon $R$ +$$ +\begin{cases} +\sum F_{x_1} = - m R\,\dot{\theta}^{2} \\ +\sum F_{y_1} = m R\,\ddot{\theta} \\ +\sum M_{z} = I\,\ddot{\theta} +\end{cases} +$$ + +### Petits mouvements + +Approximations pour petits angles +$$ +\sin(\theta) \approx \theta \\ +\cos(\theta) \approx 1 +$$ +Équation linéarisée +$$ +\ddot{\theta} + \omega_0^{2}\,\theta = 0 +$$ +Pulsation propre selon le système +$$ +\omega_0 = \sqrt{\dfrac{k}{I}} \quad \text{ou} \quad \omega_0 = \sqrt{\dfrac{g}{L}} +$$ + +--- + +## VI. RÉCAP DES SYMBOLES + +$\theta$ angle en rad +$\dot{\theta}$ vitesse angulaire en rad s$^{-1}$ +$\ddot{\theta}$ accélération angulaire en rad s$^{-2}$ +$\vec{\Omega}_{1/0}$ vecteur rotation en rad s$^{-1}$ +$\vec{V}$ vitesse en m s$^{-1}$ +$\vec{\Gamma}$ accélération en m s$^{-2}$ +$m$ masse en kg +$I$ moment d’inertie en kg m$^{2}$ +$\vec{F}$ force en N +$\vec{M}$ moment en N m +$\wedge$ produit vectoriel \ No newline at end of file diff --git a/ModélisationEnMeca/⚙️ GUIDE GÉNÉRAL — MODÉLISATION DES MÉCANISMES.pdf b/ModélisationEnMeca/⚙️ GUIDE GÉNÉRAL — MODÉLISATION DES MÉCANISMES.pdf new file mode 100644 index 0000000..f222c34 Binary files /dev/null and b/ModélisationEnMeca/⚙️ GUIDE GÉNÉRAL — MODÉLISATION DES MÉCANISMES.pdf differ diff --git a/MécaniqueDesStructures/index.md b/MécaniqueDesStructures/index.md new file mode 100644 index 0000000..e69de29 diff --git a/OrganisationSystèmeProduction/Données.numbers b/OrganisationSystèmeProduction/Données.numbers new file mode 100644 index 0000000..6a9b83e Binary files /dev/null and b/OrganisationSystèmeProduction/Données.numbers differ diff --git a/OrganisationSystèmeProduction/ImplantationAteliers-TD.pdf b/OrganisationSystèmeProduction/ImplantationAteliers-TD.pdf new file mode 100644 index 0000000..f5366cb Binary files /dev/null and b/OrganisationSystèmeProduction/ImplantationAteliers-TD.pdf differ diff --git a/OrganisationSystèmeProduction/Index.md b/OrganisationSystèmeProduction/Index.md new file mode 100644 index 0000000..d192577 --- /dev/null +++ b/OrganisationSystèmeProduction/Index.md @@ -0,0 +1,76 @@ +![[ImplantationAteliers-TD.pdf]] +# A. Analyse de l’existant +## 1- Pour un lot d’article P1 calculer les indicateurs : +### (i) Ratio de fluidité (temps à valeur ajoutée / temps de défilement). +M3 -> M6 = 10m = 2min +M6 -> M2 = 12.5m = 2.5min +M2 -> M7 = 15m = 3min +M7 -> M8 = 3m = 0.6min +M8 -> M9 = 0.5m = 0.1min + +Temps de VA = $1+0.5+2+0.7+1.2+0.2=5.6min$ +Temps de défilement = $2+2.5+3+0.6+0.1=8.2$ + +Ratio de fluidité: $\frac{\text{Temps de VA}}{\text{Temps de défilement}}=\frac{5.6}{8.2}\approx0.6829268293$ + +### (ii) Ratio de linéarité Rzz (distance nominale/distance parcourue). + +# B. Proposition d’une implantation de type "Flow shop". +## 3- Quel est l’intérêt d’une telle implantation ? +Moins de temps de défilement -> meilleur ratio de fluidité +## 4- Calculer à l’aide de la méthode des rangs moyens, la meilleure implantation pour les machines M1 à M9, en prenant en compte les articles P1, P2, P3 et P4 (références les plus fabriquées sur la ligne). + +| Produit | Gamme | Séquence | +| ------- | -------------------------------- | ------------- | +| P1 | M3 → M6 → M2 → M7 → M8 → M9 | 6 transitions | +| P2 | M1 → M4 → M2 → M7 → M8 → M9 | 6 transitions | +| P3 | M1 → M5 → M4 → M7 → M2 → M8 → M9 | 7 transitions | +| P4 | M1 → M5 → M4 → M6 → M2 → M8 → M9 | 7 transitions | + +| De → À | Nombre total | +| ------- | ------------ | +| M1 → M4 | 2 | +| M1 → M5 | 2 | +| M3 → M6 | 1 | +| M4 → M2 | 2 | +| M4 → M7 | 2 | +| M5 → M4 | 2 | +| M6 → M2 | 2 | +| M7 → M2 | 1 | +| M7 → M8 | 3 | +| M8 → M9 | 4 | +| M2 → M7 | 1 | +| M2 → M8 | 2 | + +| Machine | Positions moyennes | Rang moyen | +| ------- | --------------------- | ---------- | +| M1 | (1, 1, 1, 1) | 1,0 | +| M3 | (1) | 1,0 | +| M5 | (2, 2) | 2,0 | +| M4 | (2, 2, 3, 3) | 2,5 | +| M6 | (2, 4) | 3,0 | +| M2 | (3, 3, 5, 5) | 4,0 | +| M7 | (4, 4, 4) | 4,0 | +| M8 | (5, 5, 6, 6, 6, 6, 6) | ≈ 5,8 | +| M9 | (6, 6, 7, 7) | 6,5 | + +| Rang | Machine | +| ---- | ------- | +| 1 | M1 / M3 | +| 2 | M5 | +| 3 | M4 | +| 4 | M6 | +| 5 | M2 | +| 6 | M7 | +| 7 | M8 | +| 8 | M9 | + + +> **M3 → M1 → M5 → M4 → M6 → M2 → M7 → M8 → M9** +## 5- Qu’est-ce qui se passe si on ajoute à cet analyse l’article P5 ? • Gamme simplifiée de P5 : M3 →M5 →M6 →M2 +Ça change pas grand chose car P5 suit déjà l'ordre du flowshop établi. +> ***M3*** → M1 → ***M5*** → M4 → ***M6*** → ***M2*** → M7 → M8 → M9 + +En revanche on peut inverser M1 et M3 pour optimiser encore un peu plus la chaine +> M1 → ***M3*** → ***M5*** → M4 → ***M6*** → ***M2*** → M7 → M8 → M9 +## 6- Proposez un plan d’implantation et l’analyse de déroulement en cohérence avec les résultats obtenus avec la méthode des rangs moyens (résultat exercice 4). diff --git a/OrganisationSystèmeProduction/TD2.pages b/OrganisationSystèmeProduction/TD2.pages new file mode 100644 index 0000000..f8eba3a Binary files /dev/null and b/OrganisationSystèmeProduction/TD2.pages differ diff --git a/OrganisationSystèmeProduction/TD_GESTION_STOCK.numbers b/OrganisationSystèmeProduction/TD_GESTION_STOCK.numbers new file mode 100644 index 0000000..72ba898 Binary files /dev/null and b/OrganisationSystèmeProduction/TD_GESTION_STOCK.numbers differ diff --git a/SemaineInternationale/ArticlePublication.pdf b/SemaineInternationale/ArticlePublication.pdf new file mode 100644 index 0000000..daf7793 Binary files /dev/null and b/SemaineInternationale/ArticlePublication.pdf differ diff --git a/SemaineInternationale/Podcast.aup3 b/SemaineInternationale/Podcast.aup3 new file mode 100644 index 0000000..48cbe92 Binary files /dev/null and b/SemaineInternationale/Podcast.aup3 differ diff --git a/SemaineInternationale/Podcast.mp3 b/SemaineInternationale/Podcast.mp3 new file mode 100644 index 0000000..dc309ad Binary files /dev/null and b/SemaineInternationale/Podcast.mp3 differ diff --git a/SemaineInternationale/Script.pages b/SemaineInternationale/Script.pages new file mode 100644 index 0000000..38e1edc Binary files /dev/null and b/SemaineInternationale/Script.pages differ diff --git a/SemaineInternationale/ScriptPodcast.pdf b/SemaineInternationale/ScriptPodcast.pdf new file mode 100644 index 0000000..9b8cc60 Binary files /dev/null and b/SemaineInternationale/ScriptPodcast.pdf differ diff --git a/SystemeGestionDeVersion/project/.gitignore b/SystemeGestionDeVersion/project/.gitignore new file mode 100644 index 0000000..a14702c --- /dev/null +++ b/SystemeGestionDeVersion/project/.gitignore @@ -0,0 +1,34 @@ +# dependencies (bun install) +node_modules + +# output +out +dist +*.tgz + +# code coverage +coverage +*.lcov + +# logs +logs +_.log +report.[0-9]_.[0-9]_.[0-9]_.[0-9]_.json + +# dotenv environment variable files +.env +.env.development.local +.env.test.local +.env.production.local +.env.local + +# caches +.eslintcache +.cache +*.tsbuildinfo + +# IntelliJ based IDEs +.idea + +# Finder (MacOS) folder config +.DS_Store diff --git a/SystemeGestionDeVersion/project/README.md b/SystemeGestionDeVersion/project/README.md new file mode 100644 index 0000000..fbfe362 --- /dev/null +++ b/SystemeGestionDeVersion/project/README.md @@ -0,0 +1,15 @@ +# project + +To install dependencies: + +```bash +bun install +``` + +To run: + +```bash +bun run index.ts +``` + +This project was created using `bun init` in bun v1.3.2. [Bun](https://bun.com) is a fast all-in-one JavaScript runtime. diff --git a/SystemeGestionDeVersion/project/bun.lock b/SystemeGestionDeVersion/project/bun.lock new file mode 100644 index 0000000..94e0192 --- /dev/null +++ b/SystemeGestionDeVersion/project/bun.lock @@ -0,0 +1,26 @@ +{ + "lockfileVersion": 1, + "configVersion": 1, + "workspaces": { + "": { + "name": "project", + "devDependencies": { + "@types/bun": "latest", + }, + "peerDependencies": { + "typescript": "^5", + }, + }, + }, + "packages": { + "@types/bun": ["@types/bun@1.3.3", "", { "dependencies": { "bun-types": "1.3.3" } }, "sha512-ogrKbJ2X5N0kWLLFKeytG0eHDleBYtngtlbu9cyBKFtNL3cnpDZkNdQj8flVf6WTZUX5ulI9AY1oa7ljhSrp+g=="], + + "@types/node": ["@types/node@24.10.1", "", { "dependencies": { "undici-types": "~7.16.0" } }, "sha512-GNWcUTRBgIRJD5zj+Tq0fKOJ5XZajIiBroOF0yvj2bSU1WvNdYS/dn9UxwsujGW4JX06dnHyjV2y9rRaybH0iQ=="], + + "bun-types": ["bun-types@1.3.3", "", { "dependencies": { "@types/node": "*" } }, "sha512-z3Xwlg7j2l9JY27x5Qn3Wlyos8YAp0kKRlrePAOjgjMGS5IG6E7Jnlx736vH9UVI4wUICwwhC9anYL++XeOgTQ=="], + + "typescript": ["typescript@5.9.3", "", { "bin": { "tsc": "bin/tsc", "tsserver": "bin/tsserver" } }, "sha512-jl1vZzPDinLr9eUt3J/t7V6FgNEw9QjvBPdysz9KfQDD41fQrC2Y4vKQdiaUpFT4bXlb1RHhLpp8wtm6M5TgSw=="], + + "undici-types": ["undici-types@7.16.0", "", {}, "sha512-Zz+aZWSj8LE6zoxD+xrjh4VfkIG8Ya6LvYkZqtUQGJPZjYl53ypCaUwWqo7eI0x66KBGeRo+mlBEkMSeSZ38Nw=="], + } +} diff --git a/SystemeGestionDeVersion/project/index.ts b/SystemeGestionDeVersion/project/index.ts new file mode 100644 index 0000000..e02670d --- /dev/null +++ b/SystemeGestionDeVersion/project/index.ts @@ -0,0 +1,14 @@ +import { serve } from "bun"; +import films from "./sgv-2025-all-the_red_helicopters/catalogues/films.html"; +import series from "./sgv-2025-all-the_red_helicopters/catalogues/series.html"; + +serve({ + port: 3000, + routes: { + "/": Response.redirect("/films"), + "/films": films, + "/films.html": films, + "/series": series, + "/series.html": series, + }, +}); diff --git a/SystemeGestionDeVersion/project/package.json b/SystemeGestionDeVersion/project/package.json new file mode 100644 index 0000000..d51cd90 --- /dev/null +++ b/SystemeGestionDeVersion/project/package.json @@ -0,0 +1,12 @@ +{ + "name": "project", + "module": "index.ts", + "type": "module", + "private": true, + "devDependencies": { + "@types/bun": "latest" + }, + "peerDependencies": { + "typescript": "^5" + } +} diff --git a/SystemeGestionDeVersion/project/sgv-2025-all-the_red_helicopters b/SystemeGestionDeVersion/project/sgv-2025-all-the_red_helicopters new file mode 160000 index 0000000..4c9886a --- /dev/null +++ b/SystemeGestionDeVersion/project/sgv-2025-all-the_red_helicopters @@ -0,0 +1 @@ +Subproject commit 4c9886a4e0971d3636db1386ee592845c7213375 diff --git a/SystemeGestionDeVersion/project/tsconfig.json b/SystemeGestionDeVersion/project/tsconfig.json new file mode 100644 index 0000000..bfa0fea --- /dev/null +++ b/SystemeGestionDeVersion/project/tsconfig.json @@ -0,0 +1,29 @@ +{ + "compilerOptions": { + // Environment setup & latest features + "lib": ["ESNext"], + "target": "ESNext", + "module": "Preserve", + "moduleDetection": "force", + "jsx": "react-jsx", + "allowJs": true, + + // Bundler mode + "moduleResolution": "bundler", + "allowImportingTsExtensions": true, + "verbatimModuleSyntax": true, + "noEmit": true, + + // Best practices + "strict": true, + "skipLibCheck": true, + "noFallthroughCasesInSwitch": true, + "noUncheckedIndexedAccess": true, + "noImplicitOverride": true, + + // Some stricter flags (disabled by default) + "noUnusedLocals": false, + "noUnusedParameters": false, + "noPropertyAccessFromIndexSignature": false + } +} diff --git a/Électronique/Electronique Analogique.md b/Électronique/Electronique Analogique.md index dca85d0..9e623cb 100644 --- a/Électronique/Electronique Analogique.md +++ b/Électronique/Electronique Analogique.md @@ -32,3 +32,100 @@ $V^-=\frac{\frac{V_s}{R_1}}{\frac{1}{R_1}+\frac{1}{R_2}}$ Millman en $y$: ![[millmanEnY]] $V_y=\frac{\frac{V_A}{R_A}+\frac{V_B}{R_B}+\frac{V_C}{R_C}}{\frac{1}{R_A}+\frac{1}{R_B}+\frac{1}{RC}}$ + +--- +![[Pasted image 20251015114956.png]] + +| $f(Hz)$ | $0$ | $f_0$ | $500$ | $1k$ | $3k$ | +| -------- | ------------ | ---------------------------------- | ------- | ------- | -------- | +| $\|T\|$ | $\|T_0\|=10$ | $\frac{\|T_0\|}{\sqrt2}\approx7.1$ | $0.032$ | $0.016$ | $0.0053$ | +| $G_{dB}$ | $20$ | 17 | $-30$ | $-36$ | $-46$ | + +Avec $G_{dB}=20log( |T| )$. + +# TD2. + +![[Pasted image 20251015120304.png]] + +1. +Millman en $V^-$: +$V^-=\frac{\frac{V_i}{R_1+Z_C}+\frac{V_0}{R_2}}{\frac{1}{R_1+Z_C}+\frac{1}{R_2}}$ + +Il y a CR sur la borne $-$, c'est donc un comportement linéaire: + +$V^+=V^-=0=\frac{\frac{V_i}{R_1+Z_C}+\frac{V_0}{R_2}}{\frac{1}{R_1+Z_C}+\frac{1}{R_2}}$. + +$0=\frac{\frac{V_i}{R_1+Z_C}+\frac{V_0}{R_2}}{\frac{1}{R_1+Z_C}+\frac{1}{R_2}}=\frac{V_i}{R_1+\frac{1}{jC\omega}}+\frac{V_0}{R_2}$ + +$H(j\omega)=\frac{V_0}{V_i}$ + +--- +$\implies \cases{G_{dB}=20log(|H(j\omega)|)=20log(|A_{V_0}|)+20log(\sqrt{\frac{1}{1+(\frac{\omega}{\omega_0})^2}}) \\ \Phi= arg(A_{V_0})+arg(\frac{1}{1+j\frac{\omega}{\omega_0}})=\pi-arg(1+j\frac{\omega}{\omega_0})=\pi-\arctan{(\frac{\omega}{\omega_0})}}$ + + +--- +![[Pasted image 20251120105841.png]] +1. +$V^+=\frac{\frac{+15V}{1.6k\Omega}+\frac{-15V}{1.4k\Omega}}{\frac{1}{1.6k\Omega}+\frac{1}{1.4k\Omega}}=\frac{\frac{+15V}{1.6k\Omega}+\frac{-15V}{1.4k\Omega}}{\frac{1}{1.6k\Omega}+\frac{1}{1.4k\Omega}}=\frac{\frac{+15V}{1.6k\Omega}+\frac{-15V}{1.4k\Omega}}{\frac{3}{2.24}}=(\frac{+15V}{1.6k\Omega}+\frac{-15V}{1.4k\Omega})\times\frac{2.24}{3}=\frac{+15V \times 2.24}{1.6k\Omega \times 3}+\frac{-15V \times 2.24}{1.4k\Omega \times 3}=-1V$ + +2. +Avec $V^+=-1V$ +Si $V_{in}<-1V$ alors $V_{out}=+V_{Sat}$ +Si $V_{in}>-1V$ alors $V_{out}=-V_{Sat}$ + +3. +```functionplot +--- +title: +xLabel: +yLabel: +bounds: [-10,10,-10,10] +disableZoom: false +grid: true +--- +f(x)=-1 +Vin(x)=5sin(x) +``` + +4. + +```functionplot +--- +title: Fonction de transfert +xLabel: Vin +yLabel: Vout +bounds: [-20,20,-20,20] +disableZoom: false +grid: true +--- +f(x)=1000x+1000 +g(x)=15+(sqrt(-x-1))*0 +h(x)=-15+(sqrt(x+1))*0 +``` + +![[Pasted image 20251120114534.png]] + +1. +$V^+=\frac{\frac{0}{R_1}+\frac{V_{out}}{R_2}}{\frac{1}{R_1}+\frac{1}{R_2}}=\frac{V_{out}}{1+\frac{R_2}{R_1}}=\frac{R_1V_{out}}{R_1+R_2}$ avec $V_{out}=\pm V_{Sat}$ + +2. +Avec $R_1=1K\Omega$, calculer $R_2$ pour $V^+=\frac{1}{3}V_{out}$ +$\frac{1}{3}V_{out}=\frac{R_1V_{out}}{R_1+R_2}$ +$\frac{1}{3}=\frac{R_1}{R_1+R_2}$ +$R_1+R_2=3R_1$ +$\boxed{R_2=2R_1=2K\Omega}$ + +3. +Avec $V_{out}=\pm V_{Sat}=\pm15V$ +On a $\cases{V_{Max}^+=\frac{1}{3}\times15=5V \\ V_{Min}^+=\frac{1}{3}\times(-15)=-5V}$ + +4. +AOP en régime saturé, d'où: $\cases{V^+>V^-\implies V_{out}=+V_{Sat} \\ V^+5V$ alors $V_{out}=-V_{Sat}$ + +![[Pasted image 20251120121241.png]] + diff --git a/Électronique/Electronique Numérique.md b/Électronique/Electronique Numérique.md index feb819f..1650676 100644 --- a/Électronique/Electronique Numérique.md +++ b/Électronique/Electronique Numérique.md @@ -53,3 +53,268 @@ C2 de $(0100001)_{BS}$ -> $(1011111)_{BS}$ ## Exercice SB4 $(568)_{10}$ = ($0101$ $0110$ $1000$)$_{DCB}$ + +--- + +Soit un mot binaire codé sur $10$ bits. +$(Val_{Max})_2=0b1111111111$ +$(Val_{Max})_{10}=2^{10}-1=1023$. +$(Val_{Min})_2=0b0000000000$ +$(Val_{Max})_{10}=0$. + +Pour un convertisseur analogique-numérique, qui encode $0$ à $5V$ sur 10 bits, +614 serait obtenu pour environ $3V$. + +$4V$ donnerait $818.4$, soit $0b1100110010$. + + +| A | B | A Et B | A Ou B | +| :-: | :-: | :----: | :----: | +| 0 | 0 | 0 | 0 | +| 1 | 0 | 0 | 1 | +| 0 | 1 | 0 | 1 | +| 1 | 1 | 1 | 1 | + +Calculer: +1) $x+xy=x(1+y)=x$. +2) $x(x+y)=x$. +3) $(x+\overline{y})y=xy$ +4) $(x+y)(x+z)=x+xz+yx+yz=x+yz$ +5) $(x+y)(x+\overline{y})=x+x\overline{y}+yx+y\overline{y}=x$ + +# TD 2. +![[Pasted image 20251013170054.png]] + +$A=\overline{x}yz+x\overline{y}z+xy\overline{z}+xyz$ + $=\overline{x}yz+x\overline{y}z+xy\overline{z}+xyz+xyz+xyz$ + $=yz(\overline{x}+x)+xz(\overline{y}+y)+xy(\overline{z}+z)$ + $=yz+xz+xy$ +$B=xy+\overline{x}y\overline{z}+yz$ + $=xy(z+\overline{z})+\overline{x}y\overline{z}+yz(x+\overline{x})$ + $=xyz+xy\overline{z}+\overline{x}y\overline{z}+xyz+\overline{x}yz$ + $=xy+\overline{x}y=y(x+\overline{x})=y$ + +![[Pasted image 20251013170215.png]] + +$C=(x+z)(\overline{x}+y)$ + $=x\overline{x}+xy+z\overline{x}+zy$ + $=0+xy+z\overline{x}+zy$ + $=xy(z+\overline{z})+\overline{x}z(y+\overline{y})+yz(x+\overline{x})$ + $=xyz+xy\overline{z}+\overline{x}yz+\overline{x}\overline{y}z+xyz+\overline{x}yz$ + $=xyz+xy\overline{z}+\overline{x}yz+\overline{x}\overline{y}z$ + $=xy(z+\overline{z})+\overline{x}z(y+\overline{y})$ + $=xy+\overline{x}z$ +$D=(x\overline{y}+z)(x+\overline{y})z$ + $=(xx\overline{y}+x\overline{y}\overline{y}+xz+\overline{y}z)z$ + $=(x\overline{y}+x\overline{y}+xz+\overline{y}z)z$ + $=x\overline{y}z+x\overline{y}z+xzz+\overline{y}zz$ + $=x\overline{y}z+xz+\overline{y}z$ + $=z(x+\overline{y}+x\overline{y})$ + $=z(x+\overline{y})$ + + +Théorème de Morgan +$\overline{a•b}=\overline{a}+\overline{b}$ +$\overline{a+b}=\overline{a}•\overline{b}$ + +![[Pasted image 20251015091234.png]] + +![[Pasted image 20251015094501.png]] +1. +a) +Table de vérité de $F$ et $G$: + +| $x$ | $y$ | $F(x,y)$ | $G(x,y)$ | +| --- | --- | -------- | -------- | +| 0 | 0 | 0 | 0 | +| 0 | 1 | 1 | 1 | +| 1 | 0 | 1 | 1 | +| 1 | 1 | 1 | 1 | +b) +Par De Morgan, $F(x,y)=x+\overline{x}y$ + $F(x,y)=\overline{\overline{x+\overline{x}y}}$ + $F(x,y)=\overline{\overline{x}•\overline{\overline{x}y}}$ + $F(x,y)=\overline{\overline{x}•(\overline{\overline{x}}+\overline{y})}$ + $F(x,y)=\overline{\overline{x}•(x+\overline{y})}$ + $F(x,y)=\overline{\overline{x}x•\overline{x}\overline{y}}$ + $F(x,y)=\overline{\overline{x}x}+\overline{\overline{x}\overline{y}}$ + $F(x,y)=\overline{\overline{x}\overline{y}}$ + $F(x,y)=\overline{\overline{x}}+\overline{\overline{y}}$ + $F(x,y)=x+y$ + +# TD3 +![[Pasted image 20251015102351.png]] +![[Pasted image 20251015102357.png]] +$A=\overline{b}$ + +![[Pasted image 20251015102532.png]] +$B=\overline{a}$ + +![[Pasted image 20251015102540.png]] +$C=\overline{c}$ + +![[Pasted image 20251015102551.png]] +$D=\overline{a}\overline{c}+\overline{a}\overline{b}$ + +![[Pasted image 20251015102611.png]] +$E=c$ + +![[Pasted image 20251015102624.png]] +$F=1$ + +![[Pasted image 20251015102631.png]] +$G=d$ + +![[Pasted image 20251015102641.png]] +$H=\overline{c}d+ab$ + +![[Pasted image 20251015102647.png]] +$I=\overline{c}$ j + +![[Pasted image 20251015110635.png]] +1. + +| a/bc | 00 | 01 | 11 | 10 | +| :--: | --- | --- | --- | --- | +| 0 | 0 | 0 | 1 | 0 | +| 1 | 1 | 0 | 1 | 1 | +$F=a\overline{c}+bc$ + +--- +# Circuits combinatoires +![[CI-EEA21EA5 - Elec_Num - CH4 - Circuits combinatoires - TD.pdf]] + +## Exercice CC1. Comparateur binaire 1 bit +1. À partir de la table de vérité d’un comparateur binaire d’un bit, obtenir les équations logiques des sorties en fonction des entrées. + +| A | B | Égalité | A>B | AB}=\overline{A}B$ +$F_{A>B}=A\overline{B}$ + +2. Dessiner le circuit électronique du comparateur. +![[Drawing 2025-11-19 09.29.12.excalidraw|1000]] + +## Exercice CC5. Étude de circuits à base de multiplexeurs + +### 5.1 Premier cas d'étude +1. + +| Entrée | A | B | $F_1$ | +| ------ | --- | --- | ----- | +| 0 | 0 | 0 | 1 | +| 1 | 0 | 1 | 0 | +| 2 | 1 | 0 | 1 | +| 3 | 1 | 1 | 0 | +$F_1=\overline{B}$ + +| Entrée | C | D | $F_2$ | +| ------ | --- | --- | ----- | +| 0 | 0 | 0 | 0 | +| 1 | 0 | 1 | e | +| 2 | 1 | 0 | e | +| 3 | 1 | 1 | 1 | + +| e/CD | 00 | 01 | 11 | 10 | +| ---- | --- | --- | --- | --- | +| 0 | 0 | 0 | 1 | 0 | +| 1 | 0 | 1 | 1 | 1 | +$F_2=CD+e(C+D)$ + + +2. +$S=\overline{\overline{F_1}F_2}$ +$S=\overline{\overline{\overline{B}}(CD+eC+eD)}$ + +3. +$S=\overline{B(CD+eC+eD)}$ +$S=\overline{BCD+BeC+BeD}$ +$S=\overline{BCD}•\overline{BeC}•\overline{BeD}$ + + +## Exercice CC8. Machine à café & thé +3 entrées: $C$, $T$ et $J$. +4 sorties: $L$ (Led rouge), $Sc$ (Sortie café), $St$ (Sortie thé) et $B$ (bip sonore) + +| $C$ | $T$ | $J$ | - | $S_c$ | $S_t$ | $L$ | $B$ | +| --- | --- | --- | --- | ----- | ----- | --- | --- | +| 0 | 0 | 0 | - | 0 | 0 | 1 | 0 | +| 0 | 0 | 1 | - | 0 | 0 | 0 | 0 | +| 0 | 1 | 0 | - | 0 | 0 | 1 | 0 | +| 0 | 1 | 1 | - | 0 | 1 | 0 | 0 | +| 1 | 0 | 0 | - | 0 | 0 | 1 | 0 | +| 1 | 0 | 1 | - | 1 | 0 | 0 | 0 | +| 1 | 1 | 0 | - | 0 | 0 | 1 | 0 | +| 1 | 1 | 1 | - | 0 | 0 | 1 | 1 | +$B=CTJ$ +$L=\overline{J}+CT$ +$S_c=C\overline{T}J$ +$S_t=CT\overline{J}$ + +3. +![[Drawing 2025-11-21 10.25.20.excalidraw]] + +4. +$L=\overline{\overline{L}}=\overline{\overline{\overline{J}+CT}}=\overline{J+\overline{CT}}$ + +## Exercice CC11. Étude d’un circuit combinatoire +1. + +| a | b | c | d | - | x | y | z | +| --- | --- | --- | --- | --- | --- | --- | --- | +| 0 | 0 | 0 | 0 | - | X | X | X | +| 0 | 0 | 0 | 1 | - | X | X | X | +| 0 | 0 | 1 | 0 | - | X | X | X | +| 0 | 0 | 1 | 1 | - | X | X | X | +| 0 | 1 | 0 | 0 | - | X | X | X | +| 0 | 1 | 0 | 1 | - | 0 | 1 | 1 | +| 0 | 1 | 1 | 0 | - | 1 | 0 | 1 | +| 0 | 1 | 1 | 1 | - | 1 | 0 | 1 | +| 1 | 0 | 0 | 0 | - | X | X | X | +| 1 | 0 | 0 | 1 | - | 1 | 0 | 0 | +| 1 | 0 | 1 | 0 | - | X | X | X | +| 1 | 0 | 1 | 1 | - | X | X | X | +| 1 | 1 | 0 | 0 | - | 0 | 1 | 0 | +| 1 | 1 | 0 | 1 | - | 0 | 1 | 1 | +| 1 | 1 | 1 | 0 | - | 1 | 0 | 1 | +| 1 | 1 | 1 | 1 | - | 1 | 0 | 1 | + +$X=C+\overline{B}$ + +| ab/cd | 00 | 01 | 11 | 10 | +| ----- | --- | --- | --- | --- | +| 00 | X | X | X | X | +| 01 | X | 0 | 1 | 1 | +| 11 | 0 | 0 | 1 | 1 | +| 10 | X | 1 | X | X | + +$Y=B\overline{C}$ + +| ab/cd | 00 | 01 | 11 | 10 | +| ----- | --- | --- | --- | --- | +| 00 | X | X | X | X | +| 01 | X | 1 | 0 | 0 | +| 11 | 1 | 1 | 0 | 0 | +| 10 | 1 | 0 | X | X | + +$Z=C+BD$ + +| ab/cd | 00 | 01 | 11 | 10 | +| ----- | --- | --- | --- | --- | +| 00 | X | X | X | X | +| 01 | X | 1 | 1 | 1 | +| 11 | 0 | 1 | 1 | 1 | +| 10 | X | 0 | X | X | + +2. +$Y=\overline{X}$ + +3. +![[Screenshot 2025-11-27 at 10.05.18.png]] + +--- diff --git a/Électronique/TD1/TD1.md b/Électronique/TD1/TD1.md index 110b32b..9a8b4de 100644 --- a/Électronique/TD1/TD1.md +++ b/Électronique/TD1/TD1.md @@ -20,3 +20,64 @@ - $V_{R_2}=-R_2I=V_s-V^-\implies I=\frac{-(V_s-V^-)}{R_2}$ D'où $\frac{V_e-V^-}{R_1}=\frac{-(V_s-V^-)}{R_2}$ et $V^+=V^-=0$ donc $\frac{V_e}{R_1}=\frac{-V_s}{R_2}$ et $\boxed{\frac{V_s}{V_e}=-\frac{R_2}{R_1}}$ +# Exercice ARL3. +![[Pasted image 20251013141437.png]] +1. +D'après Millman, $V^-=\frac{\frac{V_{e_3}}{R_1}+\frac{V_{e_2}}{R_2}+\frac{V_{e_1}}{R_3}+\frac{V_{out}}{R_4}}{\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+\frac{1}{R_4}}$ + +2. +Pour $R_1=R_2=R_3=R_4=1k\Omega$, + +$V^-=\frac{\frac{V_{e_3}}{1k\Omega}+\frac{V_{e_2}}{1k\Omega}+\frac{V_{e_1}}{1k\Omega}+\frac{V_{out}}{1k\Omega}}{\frac{1}{1k\Omega}+\frac{1}{1k\Omega}+\frac{1}{1k\Omega}+\frac{1}{1k\Omega}}=\frac{\frac{V_{e_1}+V_{e_2}+V_{e_3}+V_{out}}{1k\Omega}}{\frac{4}{1k\Omega}}=\frac{V_{e_1}+V_{e_2}+V_{e_3}+V_{out}}{4}$ + +Puisque l'AOP est idéal, $V^-=V^+$, et $V^+=0$ donc $V^-=0$, + +ainsi, $0=\frac{V_{e_1}+V_{e_2}+V_{e_3}+V_{out}}{4}$ +$V_{out}=-V_{e_1}-V_{e_2}-V_{e_3}$. + +3. +$V_{R_1}=V_{e_3}-V^-=R_1i_1$. +Donc, $i_1=\frac{V_{e_3}-V^-}{R_1}=\frac{V_{e_3}}{R_1}$ + +$V_{R_2}=V_{e_2}-V^-=R_2i_2$. +Donc, $i_2=\frac{V_{e_2}-V^-}{R_2}=\frac{V_{e_2}}{R_2}$ + +$V_{R_3}=V_{e_1}-V^-=R_3i_3$. +Donc, $i_3=\frac{V_{e_1}-V^-}{R_3}=\frac{V_{e_1}}{R_3}$ + +$i=\frac{V^--V_{out}}{R_4}=\frac{-V_{out}}{R_4}$ + +D'après la loi des noeuds, $i=i_1+i_2+i_3$, donc $\frac{-V_{out}}{R_4}=\frac{V_{e_3}}{R_1}+\frac{V_{e_2}}{R_2}+\frac{V_{e_1}}{R_3}$ + +En posant $R_1=R_2=R_3=R_4=R$, On obtient $V_{out}=-(V_{e_1}+V_{e_2}+V_{e_3})$ + +![[Pasted image 20251013141455.png]] + +1. +D'après Millman, $V^-=\frac{\frac{V_{e_3}}{R_1}+\frac{V_{e_2}}{R_2}+\frac{V_{out}}{R_4}}{\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_4}}$ . + +2. +$V^+=\frac{R_5}{R_3+R_5}V_{e_1}$. + +3. +$V^-=V^+=\boxed{\frac{R_5}{R_3+R_5}V_{e_1}=\frac{\frac{V_{e_3}}{R_1}+\frac{V_{e_2}}{R_2}+\frac{V_{out}}{R_4}}{\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_4}}}$ + +Puisque $R_1=R_2=R_3=R_4=R_5=R$, +$\frac{R}{2R}V_{e_1}=\frac{\frac{V_{e_3}}{R}+\frac{V_{e_2}}{R}+\frac{V_{out}}{R}}{\frac{1}{R}+\frac{1}{R}+\frac{1}{R}}$ +$\frac{1}{2}V_{e_1}=\frac{\frac{V_{e_3}}{R}+\frac{V_{e_2}}{R}+\frac{V_{out}}{R}}{\frac{1}{R}+\frac{1}{R}+\frac{1}{R}}=\frac{\frac{V_{e_3}+V_{e_2}+V_{out}}{R}}{\frac{3}{R}}=\frac{V_{e_3}+V_{e_2}+V_{out}}{3}$ +$V_{e_1}=2\frac{V_{e_3}+V_{e_2}+V_{out}}{3}=\frac{2}{3}(V_{e_3}+V_{e_2}+V_{out})$ + +$\frac{2}{3}V_{out}=V_{e_1}-\frac{2}{3}(V_{e_3}+V_{e_2})$ +$V_{out}=\frac{3}{2}V_{e_1}-(V_{e_3}+V_{e_2})$. + +![[Pasted image 20251013151316.png]] + +Millman en $V^-$: $V^-=\frac{\frac{V_1'}{R_1}+\frac{V_S}{R_2}}{\frac{1}{R_1}+\frac{1}{R_2}}$ +Millman en $V^+$: $V^-=\frac{\frac{V_2'}{R_1}+\frac{0}{R_2}}{\frac{1}{R_1}+\frac{1}{R_2}}=\frac{\frac{V_2'}{R_1}}{\frac{1}{R_1}+\frac{1}{R_2}}=\frac{R_2V_2'}{R_1+R_2}$ + +On a $V^+=V^-$ car on a une CR sur la borne $\boxed{-}$ (AOP en régime linéaire) +$\frac{\frac{V_1'}{R_1}+\frac{V_S}{R_2}}{\frac{1}{R_1}+\frac{1}{R_2}}=\frac{R_2V_2'}{R_1+R_2}$ +$\frac{\frac{R_1V_S+R_2V_1'}{R_1R_2}}{\frac{1}{R_1}+\frac{1}{R_2}}=\frac{R_2V_2'}{R_1+R_2}$ +$R_1V_S=R_2(V_2'-V_1')$ +$\boxed{V_S=\color{red}\boxed{\color{white}\frac{R_2}{R_1}}\color{white}(V_2'-V_1')}$ + $\color{red}A_0$ diff --git a/Électronique/TD1/attachments/Drawing 2025-11-21 10.25.20.excalidraw.md b/Électronique/TD1/attachments/Drawing 2025-11-21 10.25.20.excalidraw.md new file mode 100644 index 0000000..6bf2a7e --- /dev/null +++ b/Électronique/TD1/attachments/Drawing 2025-11-21 10.25.20.excalidraw.md @@ -0,0 +1,141 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving' + + +# Excalidraw Data + +## Text Elements +C ^VK6UFB0x + +T ^KaGsYAan + +J ^ywdJkR1H + +B ^uSKDShqa + +L ^ZNsCKQM8 + +## Embedded Files +17ce83cf4d5573db8067f3a00f02fcbb3738261f: $$S_c$$ + +6854b8de3ffeb5e38d690c7a1627d9c4fb04d38a: $$S_t$$ + +%% +## Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBGADYEmjoghH0EDihmbgBtcDBQMBKIEm4IAHkoAE4AdgA5bABhABkAQQAGek0AVgAxMIAOZRqAJQAVVJLIWEQKog4kflLM + +bmcAFh4h7R5OmsT9mqHegGZe+N7ElcgYdZ5e3u0h0+PtjZr4nnj9jZuICgkdTcTr/SQIQjKaTcbY7OpDB6neJ1U4IoZfXr/azKYIg/7MKCkNgAawQzTY+DYpAqAGJ4gh6fTpqVNLhsMTlEShBxiOTKdSJITrMw4LhAtlmZAAGaEfD4ADKsFxEkEHklEAJRNJAHUgZIYfjCSSEIqYMr0Kryv8uVClsxcmhQYVIGxRdg1Hc0D8nTMIJzhHAAJLEB2o + 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2025-10-15 12.37.02.excalidraw.md b/Électronique/attachments/Drawing 2025-10-15 12.37.02.excalidraw.md new file mode 100644 index 0000000..b90f1e4 --- /dev/null +++ b/Électronique/attachments/Drawing 2025-10-15 12.37.02.excalidraw.md @@ -0,0 +1,104 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving' + + +# Excalidraw Data + +## Text Elements +%% +## Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBGADYEmjoghH0EDihmbgBtcDBQMBKIEm4IACEAcQBJfABhBoBWAA0hAAUAWSMADkkAGQBrZQB9AFVauFSSyFhECqCiOSR+ + +UsxuZ2aAdm0ABl7e+N695oAWeIBOS54rtcgYTfjt+ITLs73rs55En8vmgDM9wgFBI6m4gP220Sz2O22awMkCEIymkEIBUJhL168OB1mUwW4e2BzCgpDYQwQDTY+DYpAqAGJ4ghmcyZqVNLhsCNyUIOMRqbT6RIydZmHBcIFsuzIAAzQj4fAAZVghIkgg8MogpPJlIA6mDJNw+IUBGSKQgVTA1egNeVgbzURxwrk0PFgWwJdg1I83XtiaaIMpeXBa + +sRXag8gBdYGy8iZMPcDhCRXAwj8rAVXB7LW8/nO5gR4qzaDwcS8U0AXxJCAQxG4V2eiQBAJeZ2BjBY7C4aB2HaYrE4ADlOGIG3sfokzs0ce3A4RmAARdJQOvcWUEMLAzTCfkAUWCmWyEeTqcDQjgxFwq/rbuhpx4Z1+2wBR2BRA4QyTKfw77Y3LXNAN3wMJCmrQpi0gcoJDYWpmg6XooGqcYADVCAAKXiZQ9yEAFCAQegh1wLV5nLCAP1WQMNjQZ + 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For more info check in plugin settings under 'Saving' + + +# Excalidraw Data + +## Text Elements +A ^j3PgQ4Bk + +B ^v2mWPzuo + +A>B ^FeGx8OHk + +A=\boxed{\frac{2}{T}\int_{x_0}^{x_0+T}f(x)\cos{(n\omega x)}dx} \\ b_n=2=\boxed{\frac{2}{T}\int_{x_0}^{x_0+T}f(x)\sin{(n\omega x)}dx}}$ + +$\frac{a_0}{2} \rightarrow$Valeur moyenne de $f$: $\frac{1}{T}\int_{x_0}^{x_0+T}f(x)dx$ + +![[c307a9893a.pdf]] + +![[IMG_7785.jpeg]] + diff --git a/ÉquationsPhysique/attachments/IMG_7785.heic b/ÉquationsPhysique/attachments/IMG_7785.heic new file mode 100644 index 0000000..0437792 Binary files /dev/null and b/ÉquationsPhysique/attachments/IMG_7785.heic differ diff --git a/ÉquationsPhysique/attachments/IMG_7785.jpeg b/ÉquationsPhysique/attachments/IMG_7785.jpeg new file mode 100644 index 0000000..c523fbe Binary files /dev/null and b/ÉquationsPhysique/attachments/IMG_7785.jpeg differ diff --git a/ÉquationsPhysique/attachments/c307a9893a.pdf b/ÉquationsPhysique/attachments/c307a9893a.pdf new file mode 100644 index 0000000..197495b Binary files /dev/null and b/ÉquationsPhysique/attachments/c307a9893a.pdf differ