Commit c2e3fe89 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 9f56fb35
Pipeline #14644 canceled with stage
...@@ -98,7 +98,7 @@ RÉSUMÉ<br> ...@@ -98,7 +98,7 @@ RÉSUMÉ<br>
<br> <br>
$`\Large{\left.\dfrac{dN}{dt}\right\lvert_{\,\bigt} = r\,N(t)} \quad \Longrightarrow\quad\left.\dfrac{dN}{N}\right\lvert_{\,\bigt}=r\,dt`$ $`\Large{\left.\dfrac{dN}{dt}\right\lvert_{\,\bigt} = r\,N(t)}\normalsize{\quad \Longrightarrow\quad\left.\dfrac{dN}{N}\right\lvert_{\,\bigt}=r\,dt}`$
$`\displaystyle\begin{align} $`\displaystyle\begin{align}
\quad &\Longrightarrow\;\int_{N(t_1)}^{N(t_2)}\dfrac{dN}{N}=\int_{t_1}^{t_2} r\,dt\\ \quad &\Longrightarrow\;\int_{N(t_1)}^{N(t_2)}\dfrac{dN}{N}=\int_{t_1}^{t_2} r\,dt\\
...@@ -111,7 +111,7 @@ RÉSUMÉ<br> ...@@ -111,7 +111,7 @@ RÉSUMÉ<br>
&\Longrightarrow\; ln\,N(t_2) = ln\,N(t_1) + r\,(t_2 - t_1)\\ &\Longrightarrow\; ln\,N(t_2) = ln\,N(t_1) + r\,(t_2 - t_1)\\
\\ \\
&\Longrightarrow\; \underbrace{exp\big[ln\,N(t_2)\big]}_{exp(ln\,x)\;=\;x} &\Longrightarrow\; \underbrace{exp\big[ln\,N(t_2)\big]}_{exp(ln\,x)\;=\;x}
=\underbrace{exp\big[ln\,N(t_1) + r\,(t_2 - t_1)\big]}_{exp (a+b)\;=\;exp\,a\times exp\,b}\\ =\underbrace{exp\big[ln\,N(t_1) + r\,(t_2 - t_1)\big]}_{exp (a+b)\;=\;exp\,a\;\times\; exp\,b}\\
\\ \\
&\Longrightarrow\; N(t_2)=N(t_1)\,exp\,\big[r\,(t_2 - t_1)\big]\\ &\Longrightarrow\; N(t_2)=N(t_1)\,exp\,\big[r\,(t_2 - t_1)\big]\\
\\ \\
......
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