126 lines
2.6 KiB
Plaintext
126 lines
2.6 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import sympy as sm\n",
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"a, b, th, gama, x, t, y, z = sm.symbols(\"a, b, theta, gamma, x, t, y, z\")"
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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": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"(a, b, theta, gamma, x, t, y, z)"
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]
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},
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"execution_count": 2,
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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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"a, b, th, gama, x, t, y, z\n"
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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": 5,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"f"
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]
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},
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"execution_count": 5,
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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 = sm.Function('f')\n",
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"f"
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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": 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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"$\\displaystyle \\sin{\\left(f{\\left(t \\right)} \\right)} - \\frac{\\tan{\\left(\\frac{a}{b} \\right)}}{\\log{\\left(\\gamma \\right)}}$"
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],
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"text/plain": [
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"sin(f(t)) - tan(a/b)/log(gamma)"
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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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"expr3 = sm.sin(f(t)) - sm.tan(a/b)/sm.log(gama)\n",
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"expr3"
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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": 6,
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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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"$\\displaystyle \\frac{2 a \\left(\\tan^{2}{\\left(\\frac{a}{b} \\right)} + 1\\right) \\tan{\\left(\\frac{a}{b} \\right)}}{b^{3} \\log{\\left(\\gamma \\right)}} + \\frac{\\tan^{2}{\\left(\\frac{a}{b} \\right)} + 1}{b^{2} \\log{\\left(\\gamma \\right)}}$"
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],
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"text/plain": [
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"2*a*(tan(a/b)**2 + 1)*tan(a/b)/(b**3*log(gamma)) + (tan(a/b)**2 + 1)/(b**2*log(gamma))"
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]
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},
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"execution_count": 6,
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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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"part1 = sm.diff(expr3, a)\n",
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"part2 = sm.diff(part1, b)\n",
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"part2"
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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": "blade",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.10.16"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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