Obisidian vault auto-backup: 02-12-2024 09:27:11 on constellation. 7 files edited

.obsidian/community-plugins.json

@@ -5,6 +5,5 @@
   "obsidian-table-generator",
   "obsidian-git",
   "obsidian-latex-suite",
-  "automatic-table-of-contents",
-  "obsidian-tikzjax"
+  "automatic-table-of-contents"
 ]

.obsidian/plugins/obsidian-tikzjax/manifest.json

@@ -1,10 +0,0 @@
-{
-	"id": "obsidian-tikzjax",
-	"name": "TikZJax",
-	"version": "0.5.2",
-	"minAppVersion": "0.12.0",
-	"description": "Render LaTeX and TikZ diagrams in your notes",
-	"author": "artisticat",
-	"authorUrl": "https://github.com/artisticat1",
-	"isDesktopOnly": false
-}

.obsidian/workspace.json

@@ -222,9 +222,10 @@
   },
   "active": "d12031bc1c58d500",
   "lastOpenFiles": [
+    "ISEN/FHS/CIPA3/Gestion de projet/Gestion de projet Cours 2.md",
+    "ISEN/Maths/CIPA3/Fiche de révision DS1.md",
     "ISEN/Daily/30-11-2024.md",
     "ISEN/Daily/02-12-2024.md",
-    "ISEN/Maths/CIPA3/Fiche de révision DS1.md",
     "ISEN/Daily/01-12-2024.md",
     "ISEN/Maths/CIPA3/Fiche de révision DS1.pdf",
     "ISEN/Maths/CIPA3/DM1.md",
@@ -236,7 +237,6 @@
     "ISEN/English/CIPA3/29 nov 2024.md",
     "ISEN/English/CIPA3/17 sept 2024.md",
     "ISEN/FHS/CIPA3/Gestion de projet/Gestion de projet Cours 3.md",
-    "ISEN/FHS/CIPA3/Gestion de projet/Gestion de projet Cours 2.md",
     "ISEN/FHS/CIPA3/Gestion de projet/Gestion de projet Cours 1.md",
     "ISEN/Réseau/A2/CCNA Cours 2.md",
     "ISEN/FHS/CIPA3/Contreverses/Controverses Cours 4.md",

ISEN/Maths/CIPA3/Fiche de révision DS1.md

@@ -107,121 +107,7 @@ $$\nabla \times f = \frac{\partial f_y}{\partial x} - \frac{\partial f_x}{\parti
 ## Théorème de Schwarz
 $$\frac{\partial^2 f}{\partial x \partial y} = \frac{\partial^2 f}{\partial y \partial x}, \quad \text{si } f_{xy} \text{ et } f_{yx} \text{ sont continues.}$$
 
-```tikz
-\documentclass{article}
-\usepackage{amsmath, tikz}
-\usepackage{pgfplots}
-\pgfplotsset{compat=1.17}
 
-\begin{document}
-
-\section*{Convolution : Exemple avec \(f(t)\) et \(g(t)\)}
-
-\subsection*{Les fonctions}
-1. \(f(t)\), définie comme :
-\[
-f(t) =
-\begin{cases}
-e^t & \text{si } t \leq 0, \\
-e^{-t} & \text{si } t > 0.
-\end{cases}
-\]
-
-2. \(g(t)\), définie comme :
-\[
-g(t) =
-\begin{cases}
-1 & \text{si } 0 \leq t \leq 1, \\
-0 & \text{sinon.}
-\end{cases}
-\]
-
-\subsection*{Définition de la convolution}
-La convolution est donnée par :
-\[
-(f * g)(t) = \int_{-\infty}^{\infty} f(\tau) g(t - \tau) \, d\tau
-\]
-
-Pour ce cas spécifique :
-\[
-(f * g)(t) =
-\begin{cases}
-\int_{0}^{t} e^\tau \, d\tau & \text{si } t \leq 1, \\
-\int_{t-1}^{t} e^\tau \, d\tau & \text{si } t > 1.
-\end{cases}
-\]
-
-\subsection*{Résultat de la convolution}
-
-Calculons les deux cas :
-1. Si \(t \leq 1\) :
-\[
-(f * g)(t) = \int_{0}^{t} e^\tau \, d\tau = \left[e^\tau \right]_{0}^{t} = e^t - 1.
-\]
-
-2. Si \(t > 1\) :
-\[
-(f * g)(t) = \int_{t-1}^{t} e^\tau \, d\tau = \left[e^\tau \right]_{t-1}^{t} = e^t - e^{t-1}.
-\]
-
-\subsection*{Visualisation des fonctions et de la convolution}
-
-\begin{figure}[ht]
-    \centering
-    \begin{tikzpicture}
-        % Graph for f(t)
-        \begin{axis}[
-            width=12cm,
-            height=6cm,
-            xlabel={$t$},
-            ylabel={$f(t)$ and $g(t)$},
-            axis x line=middle,
-            axis y line=middle,
-            ymin=0, ymax=2,
-            xmin=-2, xmax=2,
-            samples=100,
-            legend style={at={(1.1,1)},anchor=north west}
-        ]
-            % f(t)
-            \addplot[domain=-2:0, thick, blue] {exp(x)} node[pos=0.5, above] {};
-            \addplot[domain=0:2, thick, blue] {exp(-x)} node[pos=0.5, above] {};
-            \addlegendentry{$f(t)$}
-
-            % g(t)
-            \addplot[domain=0:1, thick, red] {1} node[pos=0.5, above] {};
-            \addplot[domain=-2:0, thick, red] {0};
-            \addplot[domain=1:2, thick, red] {0};
-            \addlegendentry{$g(t)$}
-        \end{axis}
-    \end{tikzpicture}
-    \caption{Les fonctions \(f(t)\) et \(g(t)\).}
-\end{figure}
-
-\begin{figure}[ht]
-    \centering
-    \begin{tikzpicture}
-        % Graph for the convolution
-        \begin{axis}[
-            width=12cm,
-            height=6cm,
-            xlabel={$t$},
-            ylabel={$(f * g)(t)$},
-            axis x line=middle,
-            axis y line=middle,
-            ymin=0, ymax=2,
-            xmin=-1, xmax=3,
-            samples=100
-        ]
-            % Convolution result
-            \addplot[domain=0:1, thick, green] {exp(x) - 1};
-            \addplot[domain=1:3, thick, green] {exp(x) - exp(x-1)};
-        \end{axis}
-    \end{tikzpicture}
-    \caption{Résultat de la convolution : \((f * g)(t)\).}
-\end{figure}
-
-\end{document}
-```
 
 ---
 © Félix MARQUET