diff --git a/Rapport.ipynb b/Rapport.ipynb
index 876c42d4e155ee8f11afe0b62b3a6664bf07b7d4..d61c1ab23e37fa89342bdc3db482747555678f0f 100644
--- a/Rapport.ipynb
+++ b/Rapport.ipynb
@@ -466,20 +466,21 @@
     "\n",
     "## Réseaux de Neurones Artificiels\n",
     "\n",
-    "$$Z^{L+1}=W^{L+1}A^{L}+B^{L+1}\\\\\n",
-    "A^{L+1}=\\sigma(Z^{L+1})$$\n",
+    "$$Z^{L+1}=W^{L+1}A^{L}+B^{L+1}$$ and $$A^{L+1}=\\sigma(Z^{L+1})$$\n",
     "\n",
     "$$C = \\frac{1}{N_{out}}\\sum_{i=1}^{N_{out}} (\\hat{y_i} - y_i)^2$$\n",
     "\n",
     "### 1\n",
     "\n",
-    "$`\n",
-    "\\sigma(x)=\\frac{1}{1+e^{-x}}\\\\\n",
-    "\\Rightarrow \\sigma'(x)=\\frac{-e^{-x}}{-(1+e^{-x})^2}\\\\\n",
-    "\\Rightarrow \\sigma'(x)=\\frac{1}{1+e^{-x}}(\\frac{1+e^{-x}-1}{1+e^{-x}})\\\\\n",
-    "\\Rightarrow \\sigma'(x)=\\sigma(\\frac{1+e^{-x}}{1+e^{-x}}-\\frac{1}{1+e^{-x}})\\\\\n",
-    "\\Rightarrow \\sigma'(x)=\\sigma(1-\\sigma)\n",
-    "`$\n",
+    "$$\n",
+    "\\begin{align*}\n",
+    "\\sigma(x)&=\\frac{1}{1+e^{-x}} \\\\\n",
+    "\\Rightarrow \\sigma'(x)&=\\frac{-e^{-x}}{-(1+e^{-x})^2} \\\\\n",
+    "\\Rightarrow \\sigma'(x)&=\\frac{1}{1+e^{-x}}(\\frac{1+e^{-x}-1}{1+e^{-x}}) \\\\\n",
+    "\\Rightarrow \\sigma'(x)&=\\sigma(\\frac{1+e^{-x}}{1+e^{-x}}-\\frac{1}{1+e^{-x}}) \\\\\n",
+    "\\Rightarrow \\sigma'(x)&=\\sigma(1-\\sigma)\n",
+    "\\end{align*}\n",
+    "$$\n",
     "\n",
     "### 2\n",
     "\n",