From 9f4fb4c68133cc99f758756ab392f202cec372b7 Mon Sep 17 00:00:00 2001
From: Sucio <esteban.cosserat@gmail.com>
Date: Fri, 10 Nov 2023 08:08:14 +0100
Subject: [PATCH] markdown
---
Rapport.ipynb | 19 +++++++++++++++----
1 file changed, 15 insertions(+), 4 deletions(-)
diff --git a/Rapport.ipynb b/Rapport.ipynb
index 4e3dc95..06313e8 100644
--- a/Rapport.ipynb
+++ b/Rapport.ipynb
@@ -473,15 +473,13 @@
"\n",
"### 1\n",
"\n",
- "$$\n",
- "\\begin{align*}\n",
+ "$$\\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",
- "$$\n",
+ "\\end{align*}$$\n",
"\n",
"### 2\n",
"\n",
@@ -572,6 +570,19 @@
"$$\n"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "$$\\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*}$$"
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
--
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