ellipse.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Written in Julia 1.9.2\n",
    "# here you call the packages that you want to use\n",
    "using Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# created an array of complex numbers\n",
    "z = exp.(range(0, 2π, 65)im)\n",
    "# plotting with a `plot` command\n",
    "plot(z; title=\"Ellipse\", legend=:bottomright, labels=\"z\")"
   ]
  }
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