diff --git a/Rapport.ipynb b/Rapport.ipynb
index ff5895cc18a6eb351aaff235abd504c182439eb6..9bf5fef3fe1b6a7a0aa2e3b91389e4e8feda7b64 100644
--- a/Rapport.ipynb
+++ b/Rapport.ipynb
@@ -466,18 +466,21 @@
     "\n",
     "## Réseaux de Neurones Artificiels\n",
     "\n",
-    "$$Z^{L+1}=W^{L+1}A^{L}+B^{L+1}$$\n",
-    "\n",
-    "$$A^{L+1}=\\sigma(Z^{L+1})$$\n",
+    "$Z^{L+1}=W^{L+1}A^{L}+B^{L+1}\\\\\n",
+    "A^{L+1}=\\sigma(Z^{L+1})$\n",
     "\n",
     "$$C = \\frac{1}{N_{out}}\\sum_{i=1}^{N_{out}} (\\hat{y_i} - y_i)^2$$\n",
     "\n",
     "### 1\n",
     "\n",
     "$$\\sigma(x)=\\frac{1}{1+e^{-x}} $$\n",
+    "\n",
     "$$\\Rightarrow \\sigma'(x)=\\frac{-e^{-x}}{-(1+e^{-x})^2} $$\n",
+    "\n",
     "$$\\Rightarrow \\sigma'(x)=\\frac{1}{1+e^{-x}}(\\frac{1+e^{-x}-1}{1+e^{-x}}) $$\n",
+    "\n",
     "$$\\Rightarrow \\sigma'(x)=\\sigma(\\frac{1+e^{-x}}{1+e^{-x}}-\\frac{1}{1+e^{-x}}) $$\n",
+    "\n",
     "$$\\Rightarrow \\sigma'(x)=\\sigma(1-\\sigma)$$\n",
     "\n",
     "### 2\n",