nn/plot.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2026-03-15T08:05:44.505817091Z",
     "start_time": "2026-03-15T08:05:44.465878069Z"
    }
   },
   "source": [
    "import matplotlib\n",
    "import numpy as np\n",
    "\n",
    "print(matplotlib.__version__)"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.10.8\n"
     ]
    }
   ],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-15T08:05:45.746695680Z",
     "start_time": "2026-03-15T08:05:45.737336298Z"
    }
   },
   "cell_type": "code",
   "source": "from matplotlib import pyplot as plt",
   "id": "5c2717897baa0e77",
   "outputs": [],
   "execution_count": 5
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-15T08:05:46.610556088Z",
     "start_time": "2026-03-15T08:05:46.592296562Z"
    }
   },
   "cell_type": "code",
   "source": [
    "xpoints = np.array([0,6])\n",
    "ypoints = np.array([0,100])"
   ],
   "id": "d6552163a60278f6",
   "outputs": [],
   "execution_count": 6
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-15T08:06:00.671077133Z",
     "start_time": "2026-03-15T08:06:00.570020691Z"
    }
   },
   "cell_type": "code",
   "source": "plt.plot(xpoints,ypoints)",
   "id": "a250a770f3e18991",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f670479bcb0>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-15T08:24:13.926301561Z",
     "start_time": "2026-03-15T08:24:13.864690943Z"
    }
   },
   "cell_type": "code",
   "source": [
    "xpoints = np.array([1, 8])\n",
    "ypoints = np.array([3, 10])\n",
    "\n",
    "plt.plot(xpoints, ypoints)\n",
    "plt.show()"
   ],
   "id": "b8f1cd82eb99aa44",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-15T08:24:34.963847853Z",
     "start_time": "2026-03-15T08:24:34.861332504Z"
    }
   },
   "cell_type": "code",
   "source": [
    "xpoints = np.array([1, 8])\n",
    "ypoints = np.array([3, 10])\n",
    "\n",
    "plt.plot(xpoints, ypoints, 'o')\n",
    "plt.show()"
   ],
   "id": "5be4ed26e6b0c8a5",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 9
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-15T08:24:54.674718435Z",
     "start_time": "2026-03-15T08:24:54.597481975Z"
    }
   },
   "cell_type": "code",
   "source": [
    "xpoints = np.array([1, 2, 6, 8])\n",
    "ypoints = np.array([3, 8, 1, 10])\n",
    "\n",
    "plt.plot(xpoints, ypoints)\n",
    "plt.show()"
   ],
   "id": "7b294572af58fede",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAGdCAYAAACyzRGfAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAASxVJREFUeJzt3XdUlFfCBvCHmaEziIKigGIDFVFAisbea2z5kjVt48YKtmiampiYqmmuBQ0a2yambMrGXrHErogiFiyogIA0Aellyvv9gcPGrImiM3OnPL9z7jnJOPI+cBAf3/vee20ASCAiIiIyEpnoAERERGRdWD6IiIjIqFg+iIiIyKhYPoiIiMioWD6IiIjIqFg+iIiIyKhYPoiIiMioWD6IiIjIqBSiA9yPl5cXSkpKRMcgIiKiOlAqlbh169YD32dy5cPLywuZmZmiYxAREdEj8Pb2fmABMbnyobvj4e3tzbsfREREZkKpVCIzM/Oh/u42ufKhU1JSwvJBRERkgfjAKRERERkVywcREREZFcsHERERGRXLBxERERkVywcREREZFcsHERERGRXLBxERERkVywcREREZFcsHERERGVWdy0ePHj2wZcsWZGZmQpIkjBw58n/e8/777+PWrVsoLy9HbGwsWrdurZewREREZP7qXD6cnZ2RmJiIqVOn3vfX33zzTcyYMQORkZHo3LkzysrKsHv3btjb2z92WCIiIrIM0qMOSZKkkSNH3vParVu3pNdee632/11dXaWKigppzJgxD/UxlUqlJEmSpFQqHzkXBwcHBwcHh3FHXf7+1uszHy1atECTJk2wd+/e2teKi4tx8uRJPPHEE/f9PXZ2dlAqlfcMIiIi0j+5QoFxyz5D2IihkCnkwnLotXw0btwYAJCTk3PP6zk5ObW/9kdz585FcXFx7cjMzNRnJCIiIroroHd3tO/TA0Nfiay5ByGI8NUuCxcuhKura+3w9vYWHYmIiMgiRYx+EgBwavMOaDUaYTn0Wj6ys7MBAJ6enve87unpWftrf1RdXY2SkpJ7BhEREemXa6OGaNutCwDg1KZtQrPotXykpKQgKysL/fr1q31NqVSic+fOOH78uD4vRURERHUQNnwIZHI5rp9OwO2bGUKzKOr6G5ydne/Zt6NFixYICgpCQUEB0tPTsWTJEsybNw/JyclISUnBhx9+iFu3bmHTpk36zE1ERER1UDvlslHsXQ+dOi2l6dWrl3Q/69evr33P+++/L2VlZUkVFRVSbGys5OfnZ5ClOhwcHBwcHBwPHi1Dg6VF549LH5/YK9k5OhrkGnX5+7vOdz4OHjwIGxubv3zP/PnzMX/+/Lp+aCIiIjIA3V2PxF37UF1RITiNCax2ISIiIsOxd3ZCxwF9AQAnN24VnKYGywcREZEFCx7UD/ZOjsi5kYq0xAui4wBg+SAiIrJoEaOHAwDiTORBU4Dlg4iIyGI1auGL5sEdoFGrcXrrTtFxarF8EBERWSjdXY9Lh4+hJL9AcJr/YvkgIiKyQDKFHGEjhgAwrSkXgOWDiIjIIrXr0RVK9wYovp2PS4ePiY5zD5YPIiIiC6Tb2+P0lp3QqsUdInc/LB9EREQWRuneAO16dAUAxAk+RO5+WD6IiIgsTOjwIZArFEg9ex65KWmi4/wPlg8iIiILo5tyiTORHU3/iOWDiIjIgjQP6gDPls1RVV6Bs7v3iY5zXywfREREFkR31+Nc7H5UlZULTnN/LB9EREQWws7REUGD+wEATv5qmlMuAMsHERGRxQga2AcOzs7IS0tHyplE0XH+FMsHERGRhQivfdDU9JbX/h7LBxERkQXw8G2KVqEh0Go0iDehQ+Tuh+WDiIjIAkSMqrnrcfnoCRTn5glO89dYPoiIiMycTG66h8jdD8sHERGRmWvTtTPqNWqI0oJCJP12RHScB2L5ICIiMnO1h8ht2wWNWi04zYOxfBAREZkx5/puaN+7BwDzmHIBWD6IiIjMWuiTgyG3VeDm+SRkX7shOs5DYfkgIiIyYxFmsrfH77F8EBERmammgQFo4tcKqsoqJOyKFR3nobF8EBERmanaQ+T2HkBlSangNA+P5YOIiMgM2TrYI2TIAACmfYjc/bB8EBERmaEO/XvDUemC/IxM3IhPEB2nTlg+iIiIzJBuO/W4TdshSZLgNHXD8kFERGRmGvh4wa9zGLRaLeI37xAdp85YPoiIiMyM7q5H8vE43MnOEZym7lg+iIiIzIiNTIbwkUMBmNfeHr/H8kFERGRG/LuEw62xJ8ruFOH8/kOi4zwSlg8iIiIzotvb48z23dCoVILTPBqWDyIiIjPhVM8VgX17AjDfKReA5YOIiMhsdBo2EAo7O2QkXcGtK8mi4zwylg8iIiIzETF6OAAgbpP53vUAWD6IiIjMgnc7f3i39Yeqqgpntu8RHeexsHwQERGZAd1djwv7DqKiuFhwmsfD8kFERGTiFHZ26DRsIADzn3IBWD6IiIhMXmDfnnBydUXBrSwknzwtOs5jY/kgIiIycbq9PeI374Ck1QpO8/hYPoiIiExY/SaN4dclHABwavN2wWn0g+WDiIjIhIWPHAqZTIbkE/EoyMwSHUcvWD6IiIhMlI2NDcLvnmB7cuNWwWn0h+WDiIjIRLWOCEUD7yaoKC7B+X0HRcfRG5YPIiIiE1V7iNyOPVBXVQlOoz8sH0RERCbI0VWJDv17AzDvQ+Tuh+WDiIjIBAUP7g9be3vcunoNGUmXRcfRK5YPIiIiE9T5qbuHyFnYXQ+A5YOIiMjkNPFvjabt20GtUuHMtl2i4+gdywcREZGJibi7vPbigcMou1MkOI3+sXwQERGZELmtLUKfHAQAiLOgvT1+j+WDiIjIhLTv3R3O9d1wJycXV47FiY5jECwfREREJsTSDpG7H5YPIiIiE1HPsyHadO0MAIjbZBmHyN0PywcREZGJCBsxFDK5HNfjE5CfniE6jsGwfBAREZkAGxub2imXk79a5oOmOiwfREREJqBFaDA8mvqgsrQM5/ceEB3HoFg+iIiITIBub4+EXbGorqgUnMawWD6IiIgEs3d2QtDAvgAsczv1P2L5ICIiEix4cH/YOTog+3oKbp67KDqOwbF8EBERCdZ5dM0hcqes4K4HwPJBREQklGerFvANCoRGpUb8tp2i4xiF3suHTCbDBx98gBs3bqC8vBzXrl3DvHnz9H0ZIiIii6B70DTp0FGU5hcKTmMcCn1/wNmzZyMqKgpjx47FxYsXERYWhvXr16OoqAjR0dH6vhwREZHZkinkCB0+GIB1PGiqo/fy0bVrV2zevBk7duwAAKSlpeG5555DRESEvi9FRERk1gJ6doPSvQGK827j8pHjouMYjd6nXY4dO4Z+/frBz88PANCxY0d0794dO3fefx7Lzs4OSqXynkGG0eXpkXjlh7XwCWgjOgoREeG/Uy7xW3dCq9EITmNckj6HjY2NtHDhQkmj0UjV1dWSRqOR5syZ86fvnz9/vnQ/SqVSr7msfcjkcum937ZLi84flz48slvybusvPBMHBweHNQ+lh7v0WcJhadH541KjFr7C8zz256NUPvTf33q/8/G3v/0NL7zwAp5//nl06tQJY8eOxeuvv46XXnrpvu9fuHAhXF1da4e3t7e+IxGAVmEhULo3AAA41XPF5NXL0MS/teBURETWK2zEEMgVCqQknENuSproOEal92c+Pv/8c3zyySf48ccfAQAXLlyAr68v5s6di2+++eZ/3l9dXY3q6mp9x6A/CBkyAABwZsceuHt7wTcoEFFrovHl+GnITr4uOB0RkfXRTbnEWfghcvej9zsfTk5O0Gq197ym0Wggk3FLEVHkCgU6DOgNADjx8yZ8FTkTN88nwbm+GyJXL4NnqxZiAxIRWZnmwR3RqIUvqsrLkbhnv+g4Rqf3RrB161a8/fbbGDp0KHx9fTFq1Ci8+uqr2Lhxo74vRQ/Jv2tnOLm6oig3DzfOJKKytAyrJr+C9IuXoHRvgKi1y9Goha/omEREViNidM1dj8Td+1FVXi44jfHpvXxMnz4dv/zyC7788ktcunQJX3zxBVatWoV33nl
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 10
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-15T08:25:18.777976769Z",
     "start_time": "2026-03-15T08:25:18.708436940Z"
    }
   },
   "cell_type": "code",
   "source": [
    "ypoints = np.array([3, 10])\n",
    "\n",
    "plt.plot(ypoints)\n",
    "plt.show()"
   ],
   "id": "c4267318eada5db3",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 11
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-15T08:26:01.816626634Z",
     "start_time": "2026-03-15T08:26:01.741990644Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x = np.arange(0,4*np.pi,0.1)   # start,stop,step\n",
    "y = np.sin(x)\n",
    "z = np.cos(x)\n",
    "plt.plot(x,y,x,z)\n",
    "plt.show()"
   ],
   "id": "7e91ab6501b1a517",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 12
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-15T08:27:42.004727940Z",
     "start_time": "2026-03-15T08:27:41.889455094Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x = np.array([1, 2, 3, 4])\n",
    "y = np.array([1, 4, 9, 16])\n",
    "plt.plot(x, y)\n",
    "\n",
    "plt.xlabel(\"x - label\")\n",
    "plt.ylabel(\"y - label\")"
   ],
   "id": "c03d076cb254bba9",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'y - label')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 13
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-15T08:29:04.176192729Z",
     "start_time": "2026-03-15T08:29:04.084352055Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x = np.array([1, 2, 3, 4])\n",
    "y = np.array([1, 4, 9, 16])\n",
    "plt.plot(x, y)\n",
    "\n",
    "plt.title(\"tittle\")\n",
    "plt.xlabel(\"x - label\")\n",
    "plt.ylabel(\"y - label\")\n",
    "\n",
    "plt.show()"
   ],
   "id": "a4eac88a69fc262d",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 16
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "ef99a3200e9fb29e"
  }
 ],
 "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
}