Grundrechenarten

Komplexe_Zahlen.ipynb

@@ -0,0 +1,73 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "id": "initial_id",
+   "metadata": {
+    "collapsed": true,
+    "ExecuteTime": {
+     "end_time": "2026-02-17T06:10:37.823863Z",
+     "start_time": "2026-02-17T06:10:37.590164Z"
+    }
+   },
+   "source": [
+    "def abs(c):\n",
+    "    return (c.real**2 + c.imag**2)**0.5\n",
+    "\n",
+    "def add(c1, c2):\n",
+    "    return complex(c1.real + c2.real, c1.imag + c2.imag)\n",
+    "\n",
+    "def sub(c1, c2):\n",
+    "    # (a+bi) - (c+di) = (a-c) + (b-d)i\n",
+    "    return complex(c1.real - c2.real, c1.imag - c2.imag)\n",
+    "\n",
+    "def mul(c1, c2):\n",
+    "    # (a+bi)(c+di) = (ac-bd) + (ad+bc)i\n",
+    "    return complex(c1.real * c2.real - c1.imag * c2.imag, c1.real * c2.imag + c1.imag * c2.real)\n",
+    "\n",
+    "\n",
+    "\n",
+    "print(mul(1+2j, 2+1j))"
+   ],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "5j\n"
+     ]
+    }
+   ],
+   "execution_count": 1
+  },
+  {
+   "metadata": {},
+   "cell_type": "code",
+   "outputs": [],
+   "execution_count": null,
+   "source": "",
+   "id": "9169fa196cc5ca5d"
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 2
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython2",
+   "version": "2.7.6"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}