From fdb1846ffbf2b5c3e0e456a39ed8ee18c5885739 Mon Sep 17 00:00:00 2001 From: Sucio <esteban.cosserat@gmail.com> Date: Fri, 10 Nov 2023 08:26:37 +0100 Subject: [PATCH] Update Rapport.ipynb --- Rapport.ipynb | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/Rapport.ipynb b/Rapport.ipynb index e2a8bad..14626d3 100644 --- a/Rapport.ipynb +++ b/Rapport.ipynb @@ -473,13 +473,13 @@ "\n", "### 1\n", "\n", - "$```\n", - "\\sigma(x)=\\frac{1}{1+e^{-x}}\n", - "\\Rightrrow \\sigma'(x)=\\frac{-e^{-x}}{-(1+e^{-x})^2}\n", - "\\Rightarrow \\sigma'(x)=\\frac{1}{1+e^{-x}}(\\frac{1+e^{-x}-1}{1+e^{-x}})\n", - "\\Rightarrow \\sigma'(x)=\\sigma(\\frac{1+e^{-x}}{1+e^{-x}}-\\frac{1}{1+e^{-x}})\n", + "$\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", "\n", "### 2\n", "\n", -- GitLab