CMPE482-Spring2017-Bogazici · mustafahaluk · Feb 21, 2017
diff --git a/Fibonacci.ipynb b/Fibonacci.ipynb
@@ -108,12 +108,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 14,
    "metadata": {
-    "collapsed": true
+    "collapsed": false
    },
    "outputs": [],
-   "source": []
+   "source": [
+    "function Fn = fibonacci(n,Fini)\n",
+    "    M = [1 1 ; 1 0];\n",
+    "    Fn =(M^(n-1))*Fini;\n",
+    "end"
+   ]
   },
   {
    "cell_type": "markdown",
@@ -131,12 +136,32 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 15,
    "metadata": {
-    "collapsed": true
+    "collapsed": false
    },
-   "outputs": [],
-   "source": []
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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BAiCEKYPkwiMARlMGaevWDG070XYAEIAhOwBCECQAQhAkAEIQJABCCBSkonjki6vVq28H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\n",
+      "text/plain": [
+       "<IPython.core.display.Image object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "F0 = 0;\n",
+    "F1 = 1;\n",
+    "result = 1:100;\n",
+    "for n= 1:100\n",
+    "    temp = fibonacci(n+1,[F1;F0]);\n",
+    "    result(n) = temp(1)/temp(2);\n",
+    "end\n",
+    "plot(result)"
+   ]
   },
   {
    "cell_type": "markdown",
@@ -154,12 +179,32 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 16,
    "metadata": {
-    "collapsed": true
+    "collapsed": false
    },
-   "outputs": [],
-   "source": []
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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TCRKwLEECIIRPL9+93W5LKU3TND+XiGl/nlOVc67r+rijA+DDOBCky8vLy8vL9vcTexvr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\nAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<IPython.core.display.Image object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "F0 = 2;\n",
+    "F1 = -1.2360679775;#equals 1 minus square root of 5\n",
+    "result = 1:100;\n",
+    "for n= 1:100\n",
+    "    temp = fibonacci(n+1,[F1;F0]);\n",
+    "    result(n) = temp(1)/temp(2);\n",
+    "end\n",
+    "plot(result)"
+   ]
   }
  ],
  "metadata": {
@@ -171,14 +216,22 @@
   "language_info": {
    "file_extension": ".m",
    "help_links": [
+    {
+     "text": "GNU Octave",
+     "url": "https://www.gnu.org/software/octave/support.html"
+    },
+    {
+     "text": "Octave Kernel",
+     "url": "https://github.com/Calysto/octave_kernel"
+    },
     {
      "text": "MetaKernel Magics",
      "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
     }
    ],
    "mimetype": "text/x-octave",
    "name": "octave",
-   "version": "0.16.1"
+   "version": "4.0.0"
   }
  },
  "nbformat": 4,