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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Opgave 1"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"import cmath\n",
"import math\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"def f(k):\n",
" part1 = (2 + 2j * k * math.pi)\n",
" tope = (1 + k * 1j * math.pi)\n",
" part2 = np.exp(tope) - np.exp(-tope)\n",
" return part2 / part1\n"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f78484dd610>"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.arange(-30, 30, dtype=np.complex)\n",
"y = abs(f(x))\n",
"plt.scatter(x, y)\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
|
