184 lines
5.4 KiB
Text
184 lines
5.4 KiB
Text
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/latex": [
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"\\[\\tag{${\\it \\%o}_{2}$}f\\left(a , \\mu , \\sigma , x\\right):=a\\,\\exp \\left(\\frac{-\\left(x-\\mu\\right)^2}{2\\,\\sigma^2}\\right)\\]"
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],
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"text/plain": [
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" 2\n",
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" - (x - mu)\n",
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"(%o2) f(a, mu, sigma, x) := a exp(-----------)\n",
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" 2\n",
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" 2 sigma"
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],
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"text/x-maxima": [
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"f(a,mu,sigma,x):=a*exp((-(x-mu)^2)/(2*sigma^2))"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"f(a, mu, sigma, x) := a*exp(-(x-mu)^2/(2*sigma^2));"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 14,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/latex": [
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"\\[\\tag{${\\it \\%o}_{11}$}-\\frac{a\\,\\left(x-\\mu\\right)\\,e^ {- \\frac{\\left(x-\\mu\\right)^2}{2\\,\\sigma^2} }}{\\sigma^2}\\]"
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],
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"text/plain": [
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" 2\n",
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" (x - mu)\n",
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" - ---------\n",
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" 2\n",
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" 2 sigma\n",
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" a (x - mu) %e\n",
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"(%o11) - ------------------------\n",
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" 2\n",
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" sigma"
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],
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"text/x-maxima": [
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"-(a*(x-mu)*%e^-((x-mu)^2/(2*sigma^2)))/sigma^2"
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]
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},
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"execution_count": 14,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"diff(f(a, mu, sigma, x), x);"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 15,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/latex": [
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"\\[\\tag{${\\it \\%o}_{12}$}e^ {- \\frac{\\left(x-\\mu\\right)^2}{2\\,\\sigma^2} }\\]"
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],
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"text/plain": [
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" 2\n",
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" (x - mu)\n",
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" - ---------\n",
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" 2\n",
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" 2 sigma\n",
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"(%o12) %e"
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],
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"text/x-maxima": [
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"%e^-((x-mu)^2/(2*sigma^2))"
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]
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},
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"execution_count": 15,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"diff(f(a, mu, sigma, x), a);"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 16,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/latex": [
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"\\[\\tag{${\\it \\%o}_{13}$}\\frac{a\\,\\left(x-\\mu\\right)\\,e^ {- \\frac{\\left(x-\\mu\\right)^2}{2\\,\\sigma^2} }}{\\sigma^2}\\]"
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],
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"text/plain": [
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" 2\n",
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" (x - mu)\n",
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" - ---------\n",
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" 2\n",
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" 2 sigma\n",
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" a (x - mu) %e\n",
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"(%o13) ------------------------\n",
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" 2\n",
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" sigma"
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],
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"text/x-maxima": [
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"(a*(x-mu)*%e^-((x-mu)^2/(2*sigma^2)))/sigma^2"
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]
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},
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"execution_count": 16,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"diff(f(a, mu, sigma, x), mu);"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 17,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/latex": [
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"\\[\\tag{${\\it \\%o}_{14}$}\\frac{a\\,\\left(x-\\mu\\right)^2\\,e^ {- \\frac{\\left(x-\\mu\\right)^2}{2\\,\\sigma^2} }}{\\sigma^3}\\]"
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],
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"text/plain": [
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" 2\n",
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" (x - mu)\n",
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" - ---------\n",
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" 2\n",
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" 2 2 sigma\n",
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" a (x - mu) %e\n",
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"(%o14) -------------------------\n",
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" 3\n",
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" sigma"
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],
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"text/x-maxima": [
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"(a*(x-mu)^2*%e^-((x-mu)^2/(2*sigma^2)))/sigma^3"
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]
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},
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"execution_count": 17,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"diff(f(a, mu, sigma, x), sigma);"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Maxima",
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"language": "maxima",
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"name": "maxima"
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},
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"language_info": {
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"codemirror_mode": "maxima",
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"file_extension": ".mac",
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"mimetype": "text/x-maxima",
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"name": "maxima",
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"pygments_lexer": "maxima",
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"version": "5.43.2"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 4
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}
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