{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Numpy and Matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Numpy Arrays"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Classical python arrays are not very handy when it comes to calculations. Let's imagine, that we want to add two matrices. Having them stored as 2D lists it requires iterating through every element."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Result of + operator:\n",
      "[[1, 2, 3], [4, 5, 6], [7, 8, 9], [1, 0, 0], [0, 2, 0], [0, 0, 3]]\n",
      "Real sum:\n",
      "[[2, 2, 3], [4, 7, 6], [7, 8, 12]]\n"
     ]
    }
   ],
   "source": [
    "a = [[1,2,3], [4,5,6], [7,8,9]]\n",
    "b = [[1,0,0], [0,2,0], [0,0,3]]\n",
    "\n",
    "print(\"Result of + operator:\")\n",
    "print(a+b)\n",
    "\n",
    "a_plus_n = [[a[i][j] + b[i][j] for j in range(3)] for i in range(3)]\n",
    "print(\"Real sum:\")\n",
    "print(a_plus_n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can do it much simpler using the **numpy** library. It provides us with special datatypes designed for calculations, as well as with most common mathematical routines. Moreover, its subroutines are written in c++, what makes it very fast! Let's sum two array using numpy:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2,  2,  3],\n",
       "       [ 4,  7,  6],\n",
       "       [ 7,  8, 12]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array(a)\n",
    "b = np.array(b)\n",
    "a+b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Summing is not the limit of numpy library. We can perform element-wise most of mathematical operations in the same way."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1  0  0]\n",
      " [ 0 10  0]\n",
      " [ 0  0 27]]\n",
      "[[1.         0.         0.        ]\n",
      " [0.         0.4        0.        ]\n",
      " [0.         0.         0.33333333]]\n",
      "[[        1         4        27]\n",
      " [      256      3125     46656]\n",
      " [   823543  16777216 387420489]]\n"
     ]
    }
   ],
   "source": [
    "print(a*b)\n",
    "print(b/a)\n",
    "print(a**a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also multiply arrays in a \"matrix\" way using the operator @:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1,  4,  9],\n",
       "       [ 4, 10, 18],\n",
       "       [ 7, 16, 27]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a@b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We access elements of an array using a single square parantheses: a[i,j]. We can then acces the range of values in the same way as we did with lists. Finally, we can get all the values in given dimension by passing \":\" as an index: a[i,:]."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 1\n",
    "Explain what is printed in each line below"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I:\n",
      "6\n",
      "II:\n",
      "[4 5 6]\n",
      "III:\n",
      "[4 5 6]\n",
      "IV:\n",
      "[1 4 7]\n",
      "V:\n",
      "[[1]\n",
      " [4]\n",
      " [7]]\n",
      "VI:\n",
      "[[1 2]\n",
      " [4 5]]\n",
      "VII:\n",
      "[[1 2]\n",
      " [7 8]]\n",
      "VIII:\n",
      "[[3 2 1]\n",
      " [9 8 7]]\n",
      "IX:\n",
      "[[6 5 4]\n",
      " [9 8 7]]\n"
     ]
    }
   ],
   "source": [
    "print(\"I:\")\n",
    "print(a[1,2])\n",
    "\n",
    "print(\"II:\")\n",
    "print(a[1,:])\n",
    "\n",
    "print(\"III:\")\n",
    "print(a[1])\n",
    "\n",
    "print(\"IV:\")\n",
    "print(a[:,0])\n",
    "\n",
    "print(\"V:\")\n",
    "print(a[:,:1])\n",
    "\n",
    "print(\"VI:\")\n",
    "print(a[:2,:2])\n",
    "\n",
    "print(\"VII:\")\n",
    "print(a[::2,:2])\n",
    "\n",
    "print(\"VIII:\")\n",
    "print(a[::2,::-1])\n",
    "\n",
    "print(\"IX:\")\n",
    "print(a[-2:,::-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Here goes your explanation:*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dimensions\n",
    "\n",
    "It is vital to understand the dimensionality of numpy arrays. We can get information on that using np.shape() function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3, 3)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(2, 3, 2)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(np.shape(a))\n",
    "(np.shape([ [ [1,2], [3,4], [5,6] ] , [ [11,22], [33,44], [55,66] ] ] ))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We interpret the result in the following way. The first array has two dimensions, as the length of a tuple is 2. It can be interpreted as 3x3 matrix. The second one has three dimensions, and it can be interpreted as 2x3x2 cube.\n",
    "\n",
    "If we need a container of given size, numpy offers us a variety of array creators:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = np.zeros((3,4))  #Create an array of zeros\n",
    "b = np.ones((2,3,4)) #Create an array of ones\n",
    "c = np.arange(10,25,5) #Create an array of evenly spaced values\n",
    "d = np.linspace(0,2,9) #Create an array of evenly spaced values\n",
    "e = np.full((2,2),7) #Create a constant array \n",
    "f = np.eye(2) #Create a 2X2 identity matrix \n",
    "g = np.random.random((2,2)) #Create an array with random values \n",
    "h = np.empty((3,2)) #Create an empty array"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 2\n",
    "Print every matrix defined above. Explain the difference between np.linspace and np.arange."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Here goes your code"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Numpy functions\n",
    "\n",
    "As been said, numpy provides us with numerous mathematical functions which can be applied elementwise directly to numpy arrays. Among the most popular:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.87266083, -0.11880018],\n",
       "       [-1.00337414, -0.54614021]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.random.random((2,2))\n",
    "np.exp(a)\n",
    "np.sqrt(a)                         \n",
    "np.sin(a)                          \n",
    "np.cos(a) \n",
    "np.log(a)   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The power of multidimensionality of numpy arrays is visible especially in connection with aggregate functions. These include:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Matrix a:\n",
      "[[0.41783827 0.88798522]\n",
      " [0.36664026 0.57918102]]\n",
      "\n",
      "Sum of the elements of the matrix a:\n",
      "2.251644764640011\n",
      "\n",
      "Sum of the columns of the matrix a:\n",
      "[0.78447853 1.46716624]\n",
      "\n",
      "Sum of the rows of the matrix a:\n",
      "[1.30582349 0.94582128]\n",
      "\n",
      "Minimal element of the matrix a:\n",
      "0.3666402567005861\n",
      "\n",
      "Column-minimal elements of the matrix a:\n",
      "[0.36664026 0.57918102]\n",
      "\n",
      "Row-maximal elements of the matrix a:\n",
      "[0.88798522 0.57918102]\n",
      "Matrix b:\n",
      "[[1 2 3 4]\n",
      " [2 2 2 2]]\n",
      "\n",
      "Cumulative sums of rows of the matrix b:\n",
      "[[ 1  3  6 10]\n",
      " [ 2  4  6  8]]\n",
      "\n",
      "Mean element of the matrix b:\n",
      "2.25\n",
      "\n",
      "Column-mean elements of the matrix b:\n",
      "[1.5 2.  2.5 3. ]\n",
      "\n",
      "Standard deviation of the matrix b:\n",
      "0.82915619758885\n",
      "\n",
      "Standard deviations of the rows of the matrix b:\n",
      "[1.11803399 0.        ]\n"
     ]
    }
   ],
   "source": [
    "print(\"Matrix a:\")\n",
    "print(a)\n",
    "\n",
    "print(\"\\nSum of the elements of the matrix a:\")\n",
    "print(a.sum())\n",
    "\n",
    "print(\"\\nSum of the columns of the matrix a:\")\n",
    "print(a.sum(axis = 0))\n",
    "\n",
    "print(\"\\nSum of the rows of the matrix a:\")\n",
    "print(a.sum(axis = 1))\n",
    "\n",
    "print(\"\\nMinimal element of the matrix a:\")\n",
    "print(a.min() )\n",
    "\n",
    "print(\"\\nColumn-minimal elements of the matrix a:\")\n",
    "print(a.min(axis = 0) )\n",
    "\n",
    "print(\"\\nRow-maximal elements of the matrix a:\")\n",
    "print(a.max(axis = 1) )\n",
    "\n",
    "b = np.array([[1,2,3,4], [2,2,2,2]])\n",
    "print(\"Matrix b:\")\n",
    "print(b)\n",
    "\n",
    "print(\"\\nCumulative sums of rows of the matrix b:\")\n",
    "print(b.cumsum(axis=1))\n",
    "      \n",
    "print(\"\\nMean element of the matrix b:\")\n",
    "print(b.mean() )\n",
    "\n",
    "print(\"\\nColumn-mean elements of the matrix b:\")\n",
    "print(b.mean(axis = 0) )\n",
    "\n",
    "print(\"\\nStandard deviation of the matrix b:\")\n",
    "print(np.std(b) )\n",
    "\n",
    "print(\"\\nStandard deviations of the rows of the matrix b:\")\n",
    "print(np.std(b, axis = 1) )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Combining array operations with aggregating functions enables us to modify data easily. Let's say, that I want to have one hundred random sequences of length 10, with the condition, that every sequence sums up to one. All I need to do, is define a random 10x100 matrix, and then divide each column by it's sum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.0653756  0.10400814 0.07237612 0.0117591  0.18220076 0.16569164\n",
      " 0.18433531 0.04724127 0.03770626 0.1293058 ]\n",
      "1.0\n"
     ]
    }
   ],
   "source": [
    "a = np.random.random((10,100))\n",
    "a /= a.sum(axis = 0)\n",
    "print(a[:,0])\n",
    "print(sum(a[:,0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's notice, that in the second line of code above, we divided arrays of different shape!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(10, 100)\n",
      "(100,)\n"
     ]
    }
   ],
   "source": [
    "print(np.shape(a))\n",
    "print(np.shape(a.sum(axis = 0)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Such operation is possible only if either the second operator is scalar, or the shape of second operand is a suffix of the shape of first one, that means: (a,b,...,x,y,z) can be divided by (x,y,z), but cannot be divided by (a,b)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 3\n",
    "Define 100 random matrices 10x10 such that the mean of every one is 0, and standard deviation is one. We call such datasets **standardized**. Hint: standard deviation scales linearly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Here goes your code\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Array Manipulation\n",
    "\n",
    "The last part of our short numpy tutorial will be devoted to the array manipulation. Let's say, that we'd like to have all the rows in our 5x10 matrix summing up to one. As we've seen above, we cannot divide our matrix row-wise. But we can alwasy transpose it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.02946321 0.05421517 0.14842263 0.08880228 0.18969617 0.12752269\n",
      "  0.01785223 0.12194201 0.14595995 0.07612368]\n",
      " [0.07935311 0.12173471 0.00399898 0.04164923 0.16197968 0.0054089\n",
      "  0.15141541 0.18300441 0.15180843 0.09964714]\n",
      " [0.15204761 0.03755849 0.22983636 0.05007653 0.05203037 0.1001342\n",
      "  0.09441108 0.13445825 0.05922566 0.09022143]\n",
      " [0.11700299 0.11586629 0.16908059 0.15869857 0.02440885 0.16091268\n",
      "  0.08952724 0.02406273 0.10849598 0.03194407]\n",
      " [0.15696873 0.06447969 0.02489114 0.01870918 0.19438313 0.06545703\n",
      "  0.03895224 0.14529408 0.12235024 0.16851454]]\n",
      "[1. 1. 1. 1. 1.]\n"
     ]
    }
   ],
   "source": [
    "a = np.random.random((5,10))\n",
    "a = a.T\n",
    "a /= a.sum(axis = 0)\n",
    "a = a.T\n",
    "print(a)\n",
    "print(np.sum(a, axis = 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we decide, that our array is not in the proper shape, we can either flatten it with the function **ravel**, or **reshape** into any given shape (if only the number of elements matches)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0  1  2  3  4  5  6  7  8  9 10 11]\n",
      "[[ 0  1  2  3]\n",
      " [ 4  5  6  7]\n",
      " [ 8  9 10 11]]\n",
      "[[ 0  1  2  3  4  5]\n",
      " [ 6  7  8  9 10 11]]\n",
      "[ 0  1  2  3  4  5  6  7  8  9 10 11]\n"
     ]
    }
   ],
   "source": [
    "a = np.arange(12)\n",
    "print(a)\n",
    "\n",
    "a = a.reshape((3,4))\n",
    "print(a)\n",
    "\n",
    "a = a.reshape((2,6))\n",
    "print(a)\n",
    "\n",
    "a = a.ravel()\n",
    "print(a)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we can combine two arrays using functions such as **concatenate** (1D), **hstack** (2D horizontally) or **vstack** (2D vertically):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0  1  2  3  4  5  6  7  8  9 10 11  0  1  2  3  4  5  6  7]\n",
      "\n",
      "\n",
      "[[ 0  1  2  3]\n",
      " [ 4  5  6  7]\n",
      " [ 8  9 10 11]\n",
      " [ 0  1  2  3]\n",
      " [ 4  5  6  7]]\n",
      "\n",
      "\n",
      "[[ 0  1  2  0  1]\n",
      " [ 3  4  5  2  3]\n",
      " [ 6  7  8  4  5]\n",
      " [ 9 10 11  6  7]]\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "a = np.arange(12)\n",
    "b = np.arange(8)\n",
    "\n",
    "a_b = np.concatenate((a,b))\n",
    "print(a_b)\n",
    "print(\"\\n\")\n",
    "\n",
    "a = a.reshape((3,4))\n",
    "b = b.reshape((2,4))\n",
    "a_b = np.vstack((a,b))\n",
    "print(a_b)\n",
    "print(\"\\n\")\n",
    "\n",
    "a = a.reshape((4,3))\n",
    "b = b.reshape((4,2))\n",
    "a_b = np.hstack((a,b))\n",
    "print(a_b)\n",
    "print(\"\\n\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 4.\n",
    "Create such an array:\n",
    "\\begin{bmatrix}\n",
    "1 & 2 & \\cdots & 99 & 100 \\\\\n",
    "2 & 3 & \\cdots & 100 & 1 \\\\\n",
    "\\vdots & \\vdots & \\ddots & \\vdots & \\vdots \\\\\n",
    "99 & 100 & \\cdots & 97 & 98 \\\\\n",
    "100 & 1 & \\cdots & 98 & 99\n",
    "\\end{bmatrix}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Here goes your code:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Matplotlib\n",
    "Visualization is one of most important parts of data science. In the last part of this notebook we will focus on the most simple library for plotting, namely **matplotlib.pyplot**. We shall start with plotting a few elementary functions using plt.plot() function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qRrhG7CC4Yy3sWGxsv/efCTD6LrjiYQkMJzlaUst/N+3i3dyVELQVS2QZQRZ/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\nSLALIYSHkWAXQggP8/+EK00LzNpZegAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-2,2,100)\n",
    "x_squared = x**2\n",
    "sin_x = np.sin(x)\n",
    "\n",
    "plt.plot(x, x)\n",
    "plt.plot(x, x_squared)\n",
    "plt.plot(x, sin_x)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's improve our plot. First, we'd like to have it bigger. Then, within \"plt.plot()\" function we can define linestyle, change colors and set linewidth. We can also set markers, though it's not the best idea with so many points. We can also add grid and legend to the plot, as well as annotate the axes. Finally, we can set the limits to plto just the region of our interest."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Pn86GDkNh2nvgE/jLxxSXoSJJREREREREpAUwxpCys5A5KZls3n+EiLY+PHpl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\nRK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-2,2,100)\n",
    "x_squared = x**2\n",
    "sin_x = np.sin(x)\n",
    "\n",
    "plt.figure(figsize=(20,10))\n",
    "\n",
    "plt.plot(x, x, label = r\"$y=x$\")\n",
    "plt.plot(x, x_squared, label = r\"$x=x^{2}$\")\n",
    "plt.plot(x, sin_x, label = r\"$x=sin(x)$\")\n",
    "\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y\")\n",
    "\n",
    "plt.ylim(0, 1.1)\n",
    "plt.xlim(0, 1.1)\n",
    "\n",
    "plt.title(\"My fancy plot\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sometimes we'd like to have more than one plot. We can use then **subplots**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zNsnD3D93U65EOPddXI8bO8ZStrhOyRUR8bnuo2DtNzD9bhgxR5dDiIgEskWJ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\nQ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E6+ksoSbll0C59mf8pv+/+Wy7pe5nYkERERkZ8uKNJZP+m0yXBgLax+GTLfdgqmsATo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\n/x90WHImMrZxRwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-2,2,100)\n",
    "x_squared = x**2\n",
    "sin_x = np.sin(x)\n",
    "\n",
    "plt.figure(figsize=(20,10))\n",
    "\n",
    "plt.subplot(221)\n",
    "plt.plot(x, x, color = \"C0\")\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.plot(x, x_squared, color = \"C1\")\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.plot(x, sin_x, color = \"C2\")\n",
    "\n",
    "plt.subplot(224)\n",
    "plt.plot(x, x)\n",
    "plt.plot(x, x_squared)\n",
    "plt.plot(x, sin_x)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, plt.plot() is just one of many plotting functions. Let's take a look on few other ones:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uoVHScxbCsR82jryvv7wb1AMAAABVQmiETOKqXt720Qck5RschVLh5DuUGfa+\nsqxWlkcIUPWGz0nEBXHLzmmqMbkqsDBJa+uQ2lPooo5HVNXSoMd9qNM5G+W9JPnsoBH2aqF83gIA\nAKAchEbIZNBNdZ4VR6FVOPkKZZK8rzynm6UxDjfVcQFdt8Kol5PWBEeDzku3Winq8bzU6ZxlfS9J\nPzuyhLO9+6hTwBLa5y0AAACKRyNsZDLoBqr7X/3zMKjKoMqSvK88VivLYhxWl4prxhxXDeSkxOfl\nhqsvSfW4D3U6Z1nfS9LPjqyNuNM2qs9bmpUW49T18xYAAADJUWmETKKqXnrlVcFQp4qJXnHjby0s\nambu4ErFQgg9Z0KpeMqzqiNu6mFcD6Pm9JQOzW5L9NrdvkUfvvfESn+kG66+JNcm2HmdszIqa7K+\nl6SfHVmnnYY0BdBXhVBdP28BAACQHKERMuneeLztow9EVl/kVcEwytSRLIq6KY57X1J5U0Li3nsI\nq2xlvSlOcz7jAjof4cu7dm7ONSTql8c5K2vqUtb3kuazI0s4G1LA4ivAKvrzFgAAAOEhNCpI3Xpd\nSOdu3oqsOimyyqXIm+JhlVtFVywMe+9lVzxluSn2cT5DCMyy8n3OyqysyfJe8v7sCClg8RVghVJV\nCAAAgPIQGhWgzs1Ei76JLnJ/Rd4U976vuIqjvCsWeoPNiYhmzSGttpXlptjX+SwzMAspfA6psiaJ\nvD87QgpYfAVYVQ5JAQAA4AehUQFC6nWRh6JvoovaX9E3xd33NTN3sPCKhf5gM67hcyiBQJab4qqF\nHP1CC5/LqqwZJTjL87MjpIDFZ4BVdlUhAAAAykVoVICq36yOq7JuisuoWIgKNqOE0sskyzEKafpQ\nFqGFz2Vcp6EFZ/1CCVhCCrAAYNxsnN0/dJvjczsKGMl4SHK8JY45MApCowJU/WZ1XJU13cTHDd/8\nkZZu3feQFhaXJEkXrWvolle/NPY1kgSYRbz33iqS6XUNOSc9vbi05hhkOUYhTR/KIrTwuYxgIrTg\nLGShBFgAAACoNkKjAlT9ZnVclflf60e54Zs/0tLujz2gpbPnppidOr2k3R9/YOW1+8UFm5NmOutc\nIe+9v4rk1OmlleeiKkqSHKP+qUzXXdXU3Y+crGT1RYjhc9HBRGjBGQAAAFB3hEYFYKpAdVXxv9bf\nduDYqsCoa2nZ6S13HtVtB46tXH/dUKW1sCiT1PtbU41J7dm1ubD3P2yKXNqKkqipTHsPtwp9Tz4R\nPocZnAEAAAB1RmhUkCqGD6imYVUX3aqd+7/4lPYebq2EEE5aCY6aJQSbSapF0lSU1G0qE+EzwRkA\nAABQNEIjoGbiqjF6LS4t68MKeFz6AAAgAElEQVT3nlizSlo3MDo0uy3HEUZLMu5BFSX9U9HiXqvK\nU5kIn6Xzz5tYCY2G9eoCAAAAMJqJsgcAwK/d2zepMWFDt+sPjLrKClV2b9+kqcZk7PODKkq6U9Fa\nC4ty0sp0uyhMZaqm7jnuNneXpG8tnS1xRAAAAED9UWkE1Ey36qJ39bQok2aRwVHaUKW/wifrlKn+\n6VeDVk/rFzUVrXe6XRdTmaqrbtMNAQAAgCogNAJqqHcaU39DaKkdnlx3VXNVT6Pu42lClahm0/2r\nnGUddxpx1VHd6XZl9ADyFaahjZXTAAAAgOIRGgE1N6iB8taXvGCkYMNn9ccoIUtcD6Oy+jP5DtPA\nymkAANTJxtn9we3v+NyOAkYCVA+hEdDHZ4XIzfMPrjScnjTTDVdfonft3Ox5xMPFVfCM2ljZV/XH\nzfMP6o57Hl+ZSpY2ZAltVa0yplLVvbIptHMMAAAAjANCI6CHzwqRm+cf1IfueXzl52XnVn4uIzjq\nlSVgiPodH9Uf80daqwKjrjQhS2jL0Rc9lWocKptCO8cAAADAOCA0Anr4rBD58L0nYh8vMzTKEjDE\n/U5UXyTrPD8zdzDRTf1tB46tCYy60oQsIS1HX/RUqnFpEh3SOQYAAADGwUTZAwBC4rNCJG5J+7jH\npXY4MzN3UJfO7tfM3EHNH2ml3u8wgwKGtL9z9yMntWfXZjU7YUjvamXdYGnYexh0bLOs5Jb38Uti\n9/ZNmmpMrnosz6lUUQHVoMcBAAAAIAlCI6BHXEiRpUJk0izV491qntbCopyShy5pZQnGBv3Ozi1N\nHZrdpub0VOwUs0Hijq1JmVZyy/v4JbFzS3MlTDO1G3Lv2bU5tyqZtNdaGUIJ9AAAAAAkR2gE9PBZ\nIXLD1ZekejxLBVAWWYKxJL+TtUor6pibpDe8YoO3ldzK0A3THpvboUOz23KdVpWlqq1IIQV6AAAA\nAJIjNAJ6DKoQSVsp8a6dm/XGV2xYqfaYNNMbX7Ehtp9RUc2TswRjccFOt3fR/JFW5iqtqGP+ntdd\nmbrvUxnNp0OpnGnGHOO4x4sWWqAH1JWZfcDMnjSzz/Y8dquZtczsaOd/rypzjAAAoFpohA30iWq2\nm3V1qnft3Jw4/CiqeXLUKlTXXL5etx04prfeeTRyVare32ktLEb2Lopqip20SstHg+Msx2/YKnJx\nz4e2Wlnoy9EXHegBY+yDkn5X0h/1Pf4e59x/LH44AACg6rxVGpnZtWZ2zMweNbPZmG2uN7OHzewh\nM/sTX/sG8lZEpUSRzZN7p07t3r5Jew+3Bk4d6g1PJs0iexf1NsUuoo9Pv7THb9iUqUHPh1Y5k7SH\nUlnVUT57hQGI55z7jKSnyh4HAACoDy+VRmY2Kem9kn5E0hOS7jOzfc65h3u2uUzSTZJmnHOnzOw7\nfewbKEIRlRJRFUBJlqwf1bDl2vurauL65HSbYpe1JHra4zfsfQ96PsTKmWHHvszqqNAroYAx8GYz\n+xlJ90t6m3PuVNRGZnajpBslacOGDQUODxgvG2f3lz0EAEjM1/S0l0t61Dn3BUkys49Ieq2kh3u2\n+TeS3tv9ouKce9LTvoHcFTl1rOjQZVgAEhWeRAmhaqQ/OOpW/kQd02Hve9DzRV0PPg0LyfJUViAK\nQJL0e5J+Xe1Zxb8u6d2S/lXUhs652yXdLklbt24No5M+AAAola/QqCnpRM/PT0i6um+bfypJZnZI\n0qSkW51zf9H/QlX/r1zDeqSgmupcKREXgDhJM3MHI5/rZ5KuuXy9/8GllKaaZljwM+j5Kl4PZVdH\nlVmFBowz59xXu/82s/dJ+vMShwMAACqmyNXTzpN0maRXSrpB0vvMbLp/I+fc7c65rc65revXl38T\nmgbLSp8T0spSPoTeM2YUUb2AurpNr4dxkvYebpX+ftP0GhrWA2nQ80mvh5DQVwgYT2b2op4ff0LS\nZ+O2BQAA6Oer0qgl6ZKeny/uPNbrCUn3OueWJD1mZn+vdoh0n6cxlK7M6R8hCW1lKV9G7RkTahVa\n/8po/Zy0arU0RfwshXGtp6mmGTZlKsnzad5r2ee/itVRANIxsw+r/R/nXmhmT0i6RdIrzexKtT+2\nj0v6t6UNEAAAVI6v0Og+SZeZ2aVqh0Wvl/RTfdvMq11h9J/N7IVqT1f7gqf9B6Hs6R+hGNfwbFiV\nS8hBWjcAuXR2/5owSGrfaTSnpwb285H8X+tpg5a0vYaGBT++plSFEKTSVwioP+fcDREPv7/wgQAA\ngNrwEho5586Y2ZslHVC7X9EHnHMPmdk7Jd3vnNvXee5HzexhScuSdjvnvu5j/6EIrTluWZUN4xqe\nDXrfVQnS4q7h5vSUDs1uW/k5rteRz2s9S9BSZDVNmr+vUM4/fYUAAAAApOGr0kjOubsk3dX32Nt7\n/u0k/VLnf7UU0vSPMisbQgvPijLofRcVpKUNCvu3v+by9dp7uDX0Gi7iWs8StBRVTXPz/IO6457H\nV6qyhv19xZ3n1sKiZuYO6prL1+vuR07mMuayp8UBAAAAqC5vodE4GHbzFdL0jzIrG0IKz/KUJnCJ\n6xdUZmVO1PZ7D7d03VVN3f3ISbUWFjVptmqKXdJ+Pz5kDdryrqaZP9JaFRh1Dfr7GjSlr7WwqA/d\n8/iqn30FvCFMiwMAAABQXYRGCSW9+Qpl+keZU8RCCs/yMixwiXrfoVXmxG1/9yMn1wR/Udd73td6\nqBVrtx04Ftn3SYr/+4oKUgfxFfCGMi2ui6onAAAAoFoIjRIK7eZrmLJvuEMJz/IyKHDp7f3TFWJl\nTug9mEKtWBsUvA5quC3Fr1CXdj9JhdRfjKonAEDVbZzdX/YQAKBwhEYJhXTzlUSoN9yhSlsBkeV6\nCK0yJ4QeTIOEWrEWd9xMGvj31T3/cU3Eo/YzqrLD496/qwkzLbvVNVohB+8AAAAApImyB1AVg268\nQ7RzS1N7dm1Wc3pKpvbqV3t2bebmLEK3AqK1sCincxUQ80dasb9TxPUwf6SlmbmDunR2v2bmDg4c\nj9QOLKYak6seGxQUDto+lOt955amDs1u02NzO3RodlsQ12/UcTNJb3jFhkTji/r9fr4C3rTXhE/9\nf1f9gVFXqME7AAAAACqNEqti5U7Vpojl0e8kyWtmmYqV9/WQZSpP2sqcYdtX7XovyqgVUFG/n9fq\naWVWa0X9XUUJNXgHAAAAQGiUWKhTZeoij34nSV8z61QzKfn1kDYQiwuybt330MDfiwoKB+07Lljk\neh9s1EC2yEC3rPA4SQVRY8IIIgEAAICAjV1oNEo1S9Uqd6okj8bLSV8za9+XpNdDlkAs7oZ7YXFJ\n80daiY/JKGEc13v1lblaWdzf1SpWyFAAAAAAZDRWPY2y9K5BMfJovJz0NfPu+3Lrvodiw6s4gwKr\n3t8b1vdoUHCG0aTtOVW0sj/vkvRuWlp2XIsAAABAwMYqNOIGOlx5NF5O+pp5Ng2fP9LSwuJS5HOD\nArFBgVX395KEAqOEcWlDkdBDFJ/yCmR8HsOyP+/6/67i0AgbAAAACNdYhUYhLCOOaHlU+6R5zbxW\n6cpaTbRzS1MXrWsM/L0koUDWMC5tKFJ2VUvRsgYyg0Ih38cwhM+73r+rZiAr8gEAAABIbqxCo1CW\nEcdaeVT75FlBlFTWaiJJuuXVLx0YeiUJBbKGcWlDkbKrWoqWJZAZFgr5Poahfd7lPQ0UAAAAgH9j\n1Qg772XSi1Rmg9sksowvj8bLo77mqMc5rhnwResaiY6HFL+CWZIG3llXQUsbioRQ1ZJF1vM77NhH\nve6wxuy+j2Fon3esyAcAAABUz1iFRnW5acljeXqfQh9fUj7eR9yN+y2vfmmi3x8UeiUNBbIEZ2lX\nlMu6Al1WPkLTUc7voGMf97r9gVFXNxTyfQxD/LxjRT4AAACgWsYqNJLqcdOSx/L0PoU+vqR8vI88\nb9zzfO20VSpFVrX4CiVHOb+Djv3M3MHI150007Jza16rGwrlcQzr8HkHAAAAoDxjFxrVQehTgUIf\nX1K+3keeN+55vXbaQKrIqhZfoeSo5zfu2Mf9/rJzmmpMxoZCIVYGAQAAABhvhEYVVPRUoLRCH19S\ndXkfWaUNpIqqavEV5uV1fuNet9nT2yguFIo6hqH3LwMAAABQX4RGFZRlGkuRN56hNeDNqi7vo1cd\nAghfYU9e53fQ6w4L1vrPzzWXr9few63K9wermjr8nQAAAAA+EBpVUNppLEU3pq7LNJu6vI8un9dB\nmTfVScKeJOPL6/xmfd2o83PHPY+rvwtS2f3B6h6o1KWRPwAAAOADoVFFpZkKVEZj6ro04K3L+5D8\nXQdF3FQPCiaGhTJpxpdnT6i0rxt1fta2zW4rqz/YOAQqdWnkDwAAAPhAaDQG6tKYGqPxdR3kfVOd\nJJgYFMpU9aY/zXkoq69WVY9tGnxeAgAAAOdMlD0A5C/uBnNcGjqjzdd1MOpN9fyRlmbmDurS2f2a\nmTuo+SOtVc8PCiZ8jG/Y/ssSdx6s7+cy+2qNQ6DC5yUAAABwDpVGY6CODZ3zUpV+LVnG6es6GKUR\ndZIqolGDiUHjC3l6Vdz5ue6qpu5+5GQQ1+Q4rCjI5yUAoEo2zu4fus3xuR0FjARAXREajYG6NXTO\nS8iBQq+s4/R1HYxyU51ketP0uoZOnV5a87tJg4lB4wt5elUof6eDAslxCFRCOQ8AAABACAiNxkTV\nGzoXUQEUFyi87aMP6K13Hg3m5nGU4MPHdTDKTXWSqWPf/NaZNc83Ji1xMBE1vmsuX6/bDhyLrJIZ\nNK6ilf13OiyQHJdApezzAAAAAISC0AjBK6oCKC44WHYu1/2mFUJfmaw31cOmN9124JiWzq5dM+yC\n55yXaMn6qDCj//qJGxeSBZIEKgAAAMD4oBE2gjdqY+SkkgQHeew3rSo36t29fZOmGpOrHuud3hQX\nfD29uHa6Wq9uMNRaWJTTuYCvGyQNCoyKnl4VaiNuKYxAEgAAAEA4CI0QvKJuZKMCjSL2m1bUOE3t\noCTvEGLUwGPnlqb27Nqs5vSUTFJzekp7dm1eqVzJGogNChYHna9Js5XtighvBoVbIahyIAkAAADA\nP6anITj904wunGpoIaLSxPeNbH+/lgmzlalpee43rd5xthYWZZK6o8xzCp2vaYKDpjdlbbQ8KFiM\nmxJnKn7qYciNuKXxaHQNAAAAIDkqjRCUqEqMZ549o8aErdourxvZnVuaOjS7TY/N7dC7r/++gVOp\nytQdZ3N6Sv2xVl5T6IqYJjisEinOoAqZuMqsoo5bryRVc2VOX8t6/LtCnnoHAAAAID0qjRCUqGBi\nadnponUNrXvOeYWu2FSFlaKK7EFT1L6yNFoeVCETdR7LWkVtWCPwopq+D5K10XUIY++OI+S/WQAA\nAKBKCI0QlLib9lOnl3TLq19a+M1f6CtFDQshqrqvtIYFfP3ncWbuYOR7uXCqoZm5g7kFDsOmf4U+\nfW2QEMYeSnAFABhs4+z+odscn9tR2OskfS3UW5HXQNLrEggBoRGCMqgKhJu/tYrsQRN6v5skAV+3\nCqW/F5QkNSZMzzx7ZqV/Vh6Bw7Bwq8qrl4Uw9hCCKwAAAKBOCI0QlKhgooubv7XynEIXNc1nz67N\nuU/9yWt6UX8VitO53kbN6SmdfvaMTp1e3XA9j2tuULgVcjXXMCGMPYTgCgAAAKgTQiMEpXsz/ZY7\nj0Y+X/WbvzwCkTym0MVN89mza7MOzW7zuq8k+5VGr/aJqkLpBkaHZrfp0piS5CKvudCruQYJYewh\nBFcAAABAnXhbPc3MrjWzY2b2qJnNDtjuOjNzZrbV176RnzJWQ9q5panmgNWwQpTkOEWtDHfTJx4c\n+Zgm3Xea81jESmlF73dY8+tBK7AVZdTVy8oUwtijVsqrSugGAAAAhMhLpZGZTUp6r6QfkfSEpPvM\nbJ9z7uG+7Z4v6Rcl3etjvyGq08o9ZTaVDaFqIamkxymPfitJ9p32PM4faZW2ulhe04vmj7TW9DDq\n6oZCoVxzoTdfH6TssVdhxUMAAACgSnxNT3u5pEedc1+QJDP7iKTXSnq4b7tfl/SbknZ72m9Q6rZy\nT5lNZat085f0OOURiCTZd5rz2L2G4/RX3fgOSfOaXnTbgWORgZFJK6FQla45xCs7uAIAAADqxFdo\n1JR0oufnJyRd3buBmf1vki5xzu03s9jQyMxulHSjJG3YsMHT8IpRt5V7ym4qW5Wbv6THKY9AJMm+\n05zHqGu4q7/qJo+QNK9qn7hj4LR6rFW55gAgipl9QNKPS3rSOfe9ncdeIOlOSRslHZd0vXPuVFlj\nBAAA1eKtp9EgZjYh6bckvW3Yts65251zW51zW9evX5//4DwqO2TxLYQeL1WQ9Djl0W8lyb7TnMdB\n12p/f5o8+g+l6YuTpk/ThVONyMenYx5HdZXRhw0IyAclXdv32Kykv3bOXSbprzs/AwAAJOIrNGpJ\nuqTn54s7j3U9X9L3Svq0mR2X9ApJ++rWDLtuIcu4NpVNe9OZ9Djl0Sg4yb7TnMe4a7U5PbVmnHmF\npDu3NHVodpsem9uhQ7PbYgOjNE3FzaL3tbR8dqSxIix5NZsHqsI59xlJT/U9/FpJf9j59x9K2lno\noAAAQKX5mp52n6TLzOxStcOi10v6qe6TzrmnJb2w+7OZfVrSv3fO3e9p/0EIpZGuL+PY4yXLlKs0\nx8n39Kck+04zvqhruDFhOv3sGV06u3/V75a5vPmwqaD9vZZOnV6KfJ1nnl3W/JGWl3NSpyb4PhV5\nXOo2RRjw5Lucc1/u/Psrkr4rbsMqtwhAODbO7i97CKuENh4AqBovoZFz7oyZvVnSAUmTkj7gnHvI\nzN4p6X7n3D4f+wldHUOWcevxkvWmM4/jlPRmO8m+k46v/xq+cKqhZ549sxK69IZoZYakcdVMrYVF\nXfmOT+mZZ89oadmtPBa3cpokL4FC3Zrg+1L0canbFGHAN+ecM7O4j0M5526XdLskbd26NXY7AAAw\nPnxVGsk5d5eku/oee3vMtq/0td/QjFvIUjd533QmDYLKDCF6r+GZuYNaWFxdpdMN0Q7NbpNUTkga\nV+Ukac14pfjASPJzbqlwiVb0cSmz+g0I2FfN7EXOuS+b2YskPVn2gAAAQHUU0ggbqIq4m8sJs5Eb\n66bpt5JHk+kshoVoSfoP5SGqT1NWPgIFKlyiFX1cxrUPGzDEPkk/2/n3z0r6sxLHAgAAKobQCOgR\nF0YsOzdyY900QVCZIURvI/CJmA7SZVdu9DYVH4WvQKFuTfB9Kfq45NFsHqgSM/uwpL+RtMnMnjCz\nN0mak/QjZva/JP1w52cAAIBEvE1PA+qgv6fPhJmW3erJTVmn16QJgsqaZtM/La7/vUvhVG50p9HN\nzB2Mnao2jK9AIaq/k0m65vL1I792r/7pjddcvl53P3Iy2B5qZfS9Yoowxplz7oaYp36o0IEAAIDa\noNII6LNzS1O7t2/Si6enIkMTKVvFT5qpb2VNs4mqhpKkSbNgKzeijlVjwnTRuoZM7bFHaU5PeXsf\nO7c0dd1VTfXuyUnae7jlbbn3qOmNH7rn8aCXl6fyBwAAAKg2Ko0wkjouM95fbRMlS8VPVNWFdK6a\nJ6rZddKm2b7OQVwYtuyc/tPrrgzy3A47VlHnM48A7u5HTq5puN1blTbqeYoL9OL2FwoqfwAAAIDq\nIjRCZnVdZnzYzXnWwCHt1LckN9u+z8GgVcnSvm5RgeKw/aQJ4EYxaPqhj/OUtLpt3JtvAwAAAPCH\n6WnILJQVvnwbdNM96vSa3tXGznqY+ub7HAxalSzN66ZZKW4USfdTxCpvg5o++zhPSavbxr35NgAA\nAAB/CI2QWV2XGY+76W5OT3kNHEZZWaq7wllcVVDWc9DtQRMn6esWFSiGFFzG9aG65vL1Xs7T7u2b\n1JiI7s/Uu78QmpQDAAAAqAdCI2QW+jLjvUvH9zaZHqaoJtRZ99NbXRNnlHOwc0szdin7pK9bVKAY\nUnAZ1fT5uqua2ns4/rrrPZ6Jrte+zGjCtNLwu1sFJynTdQ8AAAAA/ehphMzKWE47qVF6yBTVAyfr\nfvLqudRr1HMb1xtpWOiUtg9S3H6m1zUSjdO3/j5UM3MHY89V7/FMcr3eduCYlpZXT2k866R1zzlP\nR97+o4lfBwAAAACSIjRCZkWFK1kMmraUZHxFrfiUZT/Dei75OAejntssoVOWwGP39k3a/fEH1oQp\np04v6eb5B/WunfFT7Yow6Fz19sZKcr0mqaoa9boHAAAAgF6ERhhJqMtphzRtybe46ppuzyVfRjm3\nWUKnJIFHVCXSBc85TwuLS2te7457HtfWl7yg1Otz0LnqHVeS6zVJ9VZe131RK+EBAAAACAuhEbwL\n4QYz6/SoKvA5LTDPc5U2dBoWeMRVIsVN/3JS6RU2Sc9Vkus1yWvlcd2PMuUthM8CAAAAANnRCBte\nFbXU+jBFNbMuQ1TD5d6pTkmFcq66hjVWj6tEmrT4FcVCqCx7buPcx+z0VCPyXCW5XpOc9zyu+6wr\n1IV2fQEAAABIj0ojeBVKT5Wo6VHXXL5etx04prfeebTyVQ8+pgWGcq66hlXSxAVAy87J1K4s6ldm\nZVl/hY4kffvM2chtB03nS1Otk0efsTRT3nrHOmGmZbf6rNBfCQAAAKgWQiN4FVIvod5ghVWl1grp\nXEnnzsOt+x5a6VHUW6UzqD/QNZev1x33PL4qOCq7sixtKBcVBGa5bn33GUs65a1/rP2BUVce1xfT\n4AAAAIB8MD0NXg2bYlSWrFNs6izUc9VbjXPq9NLKlKZBU6/etXOz3vO6K0eesueTj1AuhOs26ZS3\nqLFG8X19MQ0OAAAAyA+VRvDKZ5Nmn0KrqglBiOdqUEjSXRkurqIktJX84ip0ptc1NDN3MFFVTAjX\nbdIpb0nGlMf1Fdo0SwAAgCJtnN0/dJvjczsKGAnqitAIXuXRU8WHOq+mllWI52pYSBJaMDRIVCjX\nmDR981tndOp0e/rdsOlmoVy3SY573FgnzXTWudyurxCCtbpgmh8AAAD6ERrBuxBv7Musqhn1RizP\nG7nQzlUoIYkPUaHcM98+s9KvqWtQVUyI1WBx4saa9zTBOl0zZaLvGwAAAKLQ0whjwdcy9WmN2m9l\n3Pq15LFkfJl2bmnq0Ow2PTa3Q4dmt+npvsCoK64qpqzrNouyxlq3a6YsIfTPAgAAQHioNMLYKKOq\nZtR+K6P8fhWnmoQ4Zc6nLFUxoVWDDVLGWOt+zRSFaX4AAACIQmgE5GjUG7Gsv1/lqSbd4KEber31\nzqN6xycfknPS04tLpYYCowZxVZpuViVVCtZCxTQ/AAAARGF6GpCjUZe1z/r7VZ9q0j8t79TpJS0s\nLpU6Rc/HVMEqTTfDeGGaHwAAAKJQaQQov6lco1aWZP39qIqBQY+HJir06lXGkuq+lnanKgYhYpof\nAAAAohAaBayKPWmqKM+pXKPeiGX9/UkzLTsX+XgVJJm+V3Svlar3fOHzBMMQaAIAAKAfoVGgqtyT\npmp8VZDEGfVGLMvvRwVGgx4PTVx/lf5tilTlni98ngAAAADIgtAoUHkHGTin6hUkUZoxAUezAgGH\nFD0tr1cevVaGVeJUuYk1nycAUE8bZ/cP3eb43I4CRuJfkveGZDiW1RXiuavz5w6iERoFqo5BRpHS\nTMWpcgVJnCoHHNLaaXnT6xq5rp4WV4lz/xef0t2PnFy5jq67qrnq56pM8eLzBAAAAEAWhEaBqmOQ\nUZS0U3GyBiwh94ipQ1PbIvurxFXi3HHP4+pO6GstLGrv4VYlVzvj8wQAAABAFoRGgap6pUivosOV\ntFNxsgQsVegRQ1Pb5OIqbvo7QFV1SledPk/GRcihNAAAAMYHoVGg6lApIpUTrmSZipM2YCmrR0zZ\nN5LzR1q6dd9DWlhckiRdtK6hW1790spdl/2SNN7uquKUrrp8noyLKoTSAAAAGA+ERgGrQ6VIGeFK\nXAAwYab5Iy0v+y2jR0zZN5LzR1ra/bEHtHT2XP3NqdNL2v3xBwobQ16iKnFMayuNpOFTusoO9uIM\n+jwJdczjisblAAAACMVE2QNAvZURruzevklTjck1jy87p5s+8aDmj7RG3kdccJBnj5hBN5JFuO3A\nsVWBUdfSsitsDHnZuaWpPbs2qzk9JVN7lbk3vGLDmuto2JSubrDXWliU07lgz8c1l5cixzx/pKWZ\nuYO6dHa/ZuYOBn1cykTjcgAAAISC0Ai5KiNc6QYAk2ZrnvMVskQFU3n3iCn7RnLQfupwM7tzS1OH\nZrfpsbkdOjS7Te/auXlNkDSsCXbZwV4WRY25ioFaWcr43AQAAACieAuNzOxaMztmZo+a2WzE879k\nZg+b2d+Z2V+b2Ut87Rth6a0mOP3sGTUmVoc3RTTg3bmlqbMuanKRn4AjqjIl71W1yr6RHLSfut7M\n9gdJw85v2cFeFkWNuYqBWlnKCKUBAACAKF56GpnZpKT3SvoRSU9Ius/M9jnnHu7Z7Iikrc6502b2\n85L+b0mv87F/hKO/786p00tqTJqmpxp6enGp0H4peS8zXnTPqbJXwNq9fdOankaS1Jg0bmY7qri0\n/ahjTtoPqYqBWlloXA6gaBtn9w/d5vjcjgJGAgAIja9G2C+X9Khz7guSZGYfkfRaSSuhkXPu7p7t\n75H0Rk/7RkCiqgmWlp0uOP88Hb3lRwsdS9khi29l30h291Ol1dOKbvBcxWtulDGnac5exUBtVKNc\nf3VYCAEAAADV5ys0ako60fPzE5KuHrD9myT9l6gnzOxGSTdK0oYNGzwND0UJqZqg7JAlD2XfSJa9\nfyn5jXgZq81luebKXrlslL+TNKt8VTFQG0XZqx0CAAAAPvgKjRIzszdK2irpB6Oed87dLul2Sdq6\ndWt0UxoEK7RqghBCDh+KCBbKDi+SSHMjXtay5WmuuVCChax/J2lC4jqGuIOUdf0BAAAAPvkKjVqS\nLun5+eLOY6uY2Q9L+pK9p+QAACAASURBVDVJP+ic+7anfSMg41ZNUIQigoVR9pFn2NT/2qefPRN5\nI/6OTz60Zp8hVb3FHaO4YCHq/YQobUhclxA3iZCuPwAAACArX6un3SfpMjO71MyeI+n1kvb1bmBm\nWyT9vqTXOOee9LRfBKaMVcXqrohVp7Luw+cy6r2r7s3MHdTN8w+uee1Tp5cif/fU6aU1+yx7tbmu\nqGP0ljuP6sp3fCoycJGi30+IWOUrXijXHwAAADAKL6GRc+6MpDdLOiDpc5I+6px7yMzeaWav6Wx2\nm6TnSfqYmR01s30xL4eKS7tMOQYromIh6z58BVpRwcod9zy+5rWHjaVXKIFG1DGSpIXFJdmQ3wsd\nIXG8UK4/AAAAYBTeeho55+6SdFffY2/v+fcP+9oXME6K6BOVdR++Aq2oYCVtQ7P+fYbSQ2fQsRj0\nHqsyjWmcppylEcr1B3SZ2XFJ35C0LOmMc25ruSMCAABVUHgjbADppOkT1e2d01pY1KSZlp1TM8HN\natZeVL4CrTQBiSk6bInaZwiBRtwxSvJ7PlWh0XndhHD9AX2ucc59rexBAACA6vDV0whATpJOAeqd\n4iVJy64drSTpM5R1mpGvKThxAUn/9K2pxqTe8IoNlZr2E3WMek1PNdY8b2qft5m5g156G/nsPQUA\nAABgfFBpBFRAkoqFuN45UrKlvrNURfiaghNX6XTdVU3d/cjJNa+99SUvqEzVTHdc7/jkQ2saeU81\nJnXra14qSSsVYr2VVL5WymP5dwBqf7R8ysycpN93zt3ev4GZ3SjpRknasGFDwcND6DbO7i97CEBt\nhPj3VPSYkuzv+NwOL6+T9LUQjdAIqIlhU7zy6JHja8pT2vCpatN+uuPtP17XXL5+1c8XrWusCZZ8\nhDss/w5A0vc751pm9p2S/tLMHnHOfaZ3g06QdLskbd26NW1rOQAAUEOERkBNDOudk0ePnN7qoFGr\nYqoWBGXR+x6jjl+cUcOdIpqpAwibc67V+b9PmtmfSnq5pM8M/i0AADDu6GmEWps/0tLM3EFdOrvf\nW3+YUA3qnZNHz59BU57ijNP5GGbQdMJ+o4Y7LP8OjDczu8DMnt/9t6QflfTZckcFAACqgEoj1Erv\n9J8Lpxp65tkzWlpe3RBaGlwJU9VVpnqneKVdPW2YqGOSdsqT78qkIuR5LSStHvIR7rD8OzD2vkvS\nn5qZ1P7u9yfOub8od0gAAKAKCI1QG/2hxMLi0ppthvWHqWKw0SuPKV5xx+TCqUbkMY6riqlaM+a8\nr4W4KWPTUw1dcP553sOdcZj+ByCac+4Lkr6v7HEAAIDqITRCbSSd7jOowiPUYKPM6qe4Y/LcxoSm\nGpNrVjyLq4qpWjPmpNdC1nMTt2Lcra95KeEOAAAAgCAQGqE2koYPg/rDhBhslF39FPfeF04v6T2v\nuzJxYFK1ZsxJroVRzk3VpoxFrfx29yMnKzF2AAAAANkQGqE2hq0eJg3vD5NHsDFqlVDZ1U+Djkma\nKU9xlTVZ+/XEHVdfVVlJroVRz42PKWNJ3u+oxyQqHPvQPY+vPF+1aZwAAAAAkmH1NNRG1ApRjQnT\nResaMknN6Snt2bV54E2t71WmujfbrYVFOZ27uU6zaljZ1U/DjknSFdF2bmlqz67Nak5PJT4fceKO\n6xve9zd6651HRzreXUmuhbLPTZLry8c1mGTq57CV8wAAAABUD5VGqA0f0318TxnyUSXku/opbdXJ\noGOSdnqWr2bMccf10OefWrNt1qqsnVuauv+LT+nD957QsnOaNNN1V60ef9lT7pJcXz6uwaQhWKj9\nqQCgKBtn9w/d5vjcjgJGAgDnJPlsqvL+kC9CI9SKj1DC5ypTPipRfE7rytqDJ+6YlDV1Lm04kSXM\nmD/S0t7DLS07J0ladk57D7e09SUvWHlvvqfcpRX3vnqDLB/XYJKpn93tAAAAANQH09OAHMXdRKe5\nufY5rWtQyJNGd0paXJDQWlgcOl0ti+5+XcrfS3K8+6fZveOTDw09Vj7PTRZx78uklePu4xqMmqrX\nr8iwDAAAAEAxqDQCcuSrEsVX9ZOPqpP+aqU4vf1zpNEbJA/br3X2GfX4sOMdVYEVp/9Y+axMS2v3\n9k16651H17xvJ61Ue/m4BqOmKLJ6GgAAAFB/hEZAjkJbVt1HD54kTZF7+ZquNmi/zU6Isfdwa9U2\nJukNr9gQue/e3k4TZivT0IYJYQpW79jjRt0Nt3xdg2WGYwAAAADKQWgE5Kz3Zrt7s//WO4+WEiBd\nc/l63XHP46uChkFVJ1FNs7P0B/LRIDnuNUzSodl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G+8vF7/tt9V+7d0RkWjftuNDfR7Pf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XlZLs26ud2oSA9LRD7+faMZ16s7SqhHACrx1EdlMbkNb2nKT9aeSRAxjZRrVWurcnK0uP4pFF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H/Yd2aezsXDJ5DhSV3V5RGLTK+Pv865gjH5bZ9uFbSzuXHYvUzJn4NH/Fh4sBB6eSqYENhM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\nUqqB/w/cWd3ilbKN9AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.normal(size = 400)\n",
    "y = np.random.uniform(size = 400)\n",
    "size = np.random.uniform(low = 10,high = 200, size = 400)\n",
    "color =  np.random.randint(0, 100, 400)\n",
    "\n",
    "plt.figure(figsize=(20,10))\n",
    "\n",
    "plt.subplot(221)\n",
    "plt.scatter(x, y)\n",
    "plt.title(\"scatter plot\")\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.hist(x, bins = 50)\n",
    "plt.title(\"histogram\")\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.semilogy(np.sort(y))\n",
    "plt.title(\"logarithmic scale\")\n",
    "\n",
    "plt.subplot(224)\n",
    "plt.scatter(x, y, size, color)\n",
    "plt.title(\"scatter plot with sizes and colors\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 5\n",
    "Create a plot containing 6 subplots in 3x2 grid:\n",
    "1. Bessel functions (1st kind) of order 0...5\n",
    "2. Bessel functions (2nd kind) of order 0...5\n",
    "3. Bessel functions (1st kind) of order 0...5 for small arguments in log scale\n",
    "4. Absolute value of Bessel functions (2st kind) of order 0...5 for small arguments in log scale\n",
    "5. Normal distribution probability density function in log scale\n",
    "6. Normal distribution probability density function  in log scale (both axes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cAgQEQ9wAiB9sHVTE9rfWhY5Khs7dzm1nXFMOpXlwKs+agvzEPji+G47vgfJj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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Hint:\n",
    "from scipy.special import jv, yv\n",
    "#Bessel function of first kind,\n",
    "x = np.linspace(0.2,10, 1000)\n",
    "plt.plot(x, jv(1,x), label = r\"$J_{1}$\")\n",
    "plt.plot(x, yv(1,x), label = r\"$Y_{1}$\")\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Here goes your code:"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
