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Author: gitakartika

Create Vector Operation.ipynb

@@ -0,0 +1,104 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#Created By: Gita Kartika Suriah\n",
+    "\n",
+    "# In[ ]:\n",
+    "\n",
+    "import numpy\n",
+    "import math\n",
+    "class Vector(object):\n",
+    "    def __init__(self,*v):\n",
+    "        self.values= v\n",
+    "#Vector Addition\n",
+    "    def __add__(self,vector):\n",
+    "        total=tuple(a+b for a,b in zip(self.values,vector.values))\n",
+    "        return vector(*total)\n",
+    "#Vector Substraction\n",
+    "    def __sub__(self, vector):\n",
+    "        total = tuple( a - b for a, b in zip(self.values, vector.values) )\n",
+    "        return vector(*total)\n",
+    "#Scalar Multiplication\n",
+    "    def __rmul__(self,scalar):\n",
+    "        vector= tuple((scalar*numpy.array(self.values)).tolist())\n",
+    "        return vector(*vector)\n",
+    "#Metric\n",
+    "    def metric(self,vector):\n",
+    "        x=tuple((a-b)**2 for a, b in zip(self.values, vector.values))\n",
+    "        y=[]\n",
+    "        for i in range (1,len(vector.values)+1):\n",
+    "            y.append(i)\n",
+    "        return math.sqrt(sum(a*b for a,b in zip(x,y)))\n",
+    "#Norm Vector\n",
+    "    def norm(self):\n",
+    "        return math.sqrt(sum(x**2 for x in self.values))\n",
+    "#Vector Inner Product\n",
+    "    def ip(self, vector):\n",
+    "        x=tuple(a*b for a, b in zip(self.values,vector.values))\n",
+    "        y=[]\n",
+    "        for i in range (1,len(vector.values)+1):\n",
+    "            y.append(i)\n",
+    "        return sum(a*b for a,b in zip(x,y))\n",
+    "#Print Vector\n",
+    "    def __repr__(self):\n",
+    "        return str(self.values)\n",
+    "\n",
+    "# In[ ]:\n",
+    "\n",
+    "a=vector(4,1,3)\n",
+    "b=vector(1,-1,1)\n",
+    "c=vector(2,4,0)\n",
+    "x=vector(1,0,2,0)\n",
+    "y=vector(3,2.5,0,1.5)\n",
+    "z=vector(0,0,3,1.5)\n",
+    "\n",
+    "d=a+b\n",
+    "print(\"d:\",d)\n",
+    "e=2*c-b\n",
+    "print(\"e:\",e)\n",
+    "w=3*y-2*(x+z)\n",
+    "print(\"w:\",w)\n",
+    "print(\"d(a,b):\",a.metric(b))\n",
+    "print(\"d(d,a):\",d.metric(a))\n",
+    "print(\"d(e,c):\",e.metric(c))\n",
+    "print(\"d(x,y):\",x.metric(y))\n",
+    "print(\"d(w,z):\",w.metric(z))\n",
+    "print(\"Norm c:\",c.norm())\n",
+    "print(\"Norm d:\",d.norm())\n",
+    "print(\"Norm e:\",e.norm())\n",
+    "print(\"Norm x:\",x.norm())\n",
+    "print(\"Norm w:\",w.norm())\n",
+    "print(\"<a,c>:\",a.ip(c))\n",
+    "print(\"<d,b>:\",d.ip(b))\n",
+    "print(\"<y,z>:\",y.ip(z))\n",
+    "print(\"<x,w>:\",x.ip(w))"
+   ]
+  }
+ ],
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+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
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+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.7.4"
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+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}