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Diffstat (limited to 'lab-windows/gauss_derivations.ipynb')
| -rw-r--r-- | lab-windows/gauss_derivations.ipynb | 184 |
1 files changed, 0 insertions, 184 deletions
diff --git a/lab-windows/gauss_derivations.ipynb b/lab-windows/gauss_derivations.ipynb deleted file mode 100644 index 6e0dcd8..0000000 --- a/lab-windows/gauss_derivations.ipynb +++ /dev/null @@ -1,184 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "\\[\\tag{${\\it \\%o}_{2}$}f\\left(a , \\mu , \\sigma , x\\right):=a\\,\\exp \\left(\\frac{-\\left(x-\\mu\\right)^2}{2\\,\\sigma^2}\\right)\\]" - ], - "text/plain": [ - " 2\n", - " - (x - mu)\n", - "(%o2) f(a, mu, sigma, x) := a exp(-----------)\n", - " 2\n", - " 2 sigma" - ], - "text/x-maxima": [ - "f(a,mu,sigma,x):=a*exp((-(x-mu)^2)/(2*sigma^2))" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f(a, mu, sigma, x) := a*exp(-(x-mu)^2/(2*sigma^2));" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "\\[\\tag{${\\it \\%o}_{11}$}-\\frac{a\\,\\left(x-\\mu\\right)\\,e^ {- \\frac{\\left(x-\\mu\\right)^2}{2\\,\\sigma^2} }}{\\sigma^2}\\]" - ], - "text/plain": [ - " 2\n", - " (x - mu)\n", - " - ---------\n", - " 2\n", - " 2 sigma\n", - " a (x - mu) %e\n", - "(%o11) - ------------------------\n", - " 2\n", - " sigma" - ], - "text/x-maxima": [ - "-(a*(x-mu)*%e^-((x-mu)^2/(2*sigma^2)))/sigma^2" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "diff(f(a, mu, sigma, x), x);" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "\\[\\tag{${\\it \\%o}_{12}$}e^ {- \\frac{\\left(x-\\mu\\right)^2}{2\\,\\sigma^2} }\\]" - ], - "text/plain": [ - " 2\n", - " (x - mu)\n", - " - ---------\n", - " 2\n", - " 2 sigma\n", - "(%o12) %e" - ], - "text/x-maxima": [ - "%e^-((x-mu)^2/(2*sigma^2))" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "diff(f(a, mu, sigma, x), a);" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "\\[\\tag{${\\it \\%o}_{13}$}\\frac{a\\,\\left(x-\\mu\\right)\\,e^ {- \\frac{\\left(x-\\mu\\right)^2}{2\\,\\sigma^2} }}{\\sigma^2}\\]" - ], - "text/plain": [ - " 2\n", - " (x - mu)\n", - " - ---------\n", - " 2\n", - " 2 sigma\n", - " a (x - mu) %e\n", - "(%o13) ------------------------\n", - " 2\n", - " sigma" - ], - "text/x-maxima": [ - "(a*(x-mu)*%e^-((x-mu)^2/(2*sigma^2)))/sigma^2" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "diff(f(a, mu, sigma, x), mu);" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "\\[\\tag{${\\it \\%o}_{14}$}\\frac{a\\,\\left(x-\\mu\\right)^2\\,e^ {- \\frac{\\left(x-\\mu\\right)^2}{2\\,\\sigma^2} }}{\\sigma^3}\\]" - ], - "text/plain": [ - " 2\n", - " (x - mu)\n", - " - ---------\n", - " 2\n", - " 2 2 sigma\n", - " a (x - mu) %e\n", - "(%o14) -------------------------\n", - " 3\n", - " sigma" - ], - "text/x-maxima": [ - "(a*(x-mu)^2*%e^-((x-mu)^2/(2*sigma^2)))/sigma^3" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "diff(f(a, mu, sigma, x), sigma);" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Maxima", - "language": "maxima", - "name": "maxima" - }, - "language_info": { - "codemirror_mode": "maxima", - "file_extension": ".mac", - "mimetype": "text/x-maxima", - "name": "maxima", - "pygments_lexer": "maxima", - "version": "5.43.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} |