Chapter-08:SciPy.ipynb

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        "<a href=\"https://colab.research.google.com/github/kbehrman/foundational-python-for-data-science/blob/main/Chapter_08_SciPy.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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        "# Save figures as files\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from PIL import Image\n",
        "import os\n",
        "\n",
        "chpt = 'Chpt08'\n",
        "def save_fig(fig, figure_name):\n",
        "    file_path = f'/content/drive/MyDrive/[WIP]Kennedy-Noah-Python-DataScience-Book/images-2021-06-05/Colored/{chpt}/{figure_name}.png'\n",
        "    print(os.path.exists(file_path))\n",
        "    fig.savefig(file_path, dpi=1000, format='png')\n",
        "    convert_to_greyscale(file_path, figure_name)\n",
        "\n",
        "\n",
        "def convert_to_greyscale(file_path, figure_name):   \n",
        "    image = Image.open(file_path).convert(\"L\")\n",
        "    arr = np.asarray(image)\n",
        "    target_path = f'/content/drive/MyDrive/[WIP]Kennedy-Noah-Python-DataScience-Book/images-2021-06-05/{chpt}/{figure_name}.svg'\n",
        "    \n",
        "    \n",
        "    plt.imsave(target_path, arr, cmap='gray', vmin=0, vmax=255, format='svg')"
      ],
      "execution_count": null,
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      "source": [
        "# SciPy\n",
        "## Notes\n",
        "- Designed for scientific and technical computing\n",
        "- numerical routines and tools\n",
        "\"The SciPy library, a collection of numerical algorithms and domain-specific toolboxes, including signal processing, optimization, statistics, and much more.\"\n",
        "\n",
        "- Build on NumPy Array\n",
        "- Works closely with NumPy, present both in this chapter\n",
        "- is part of SciPy Ecosystem: numPy, sciPy, matplotlib\n",
        "\n",
        "\n",
        "\n",
        "Scipy for Statistics & Probability\n",
        "- Statistical functions\n",
        "- Descriptive Statistics\n",
        "- Numerical Distributions\n",
        "- Linear Regression\n",
        "- Probability\n",
        "\n",
        "- [SciPy Tutorial](https://docs.scipy.org/doc/scipy/reference/tutorial/index.html)\n",
        "- [Documentation](https://docs.scipy.org/doc/)\n",
        "\n"
      ]
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      },
      "source": [
        "from numpy import poly1d\n",
        "print(poly1d((2,3,4)))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "   2\n",
            "2 x + 3 x + 4\n"
          ],
          "name": "stdout"
        }
      ]
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        ""
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      "source": [
        "### Sub-packages\n",
        "| Subpackage |    Description                                            |\n",
        "|------------|-----------------------------------------------------------|\n",
        "| cluster    |    Clustering algorithms                                  |\n",
        "| constants  |    Physical and mathematical constants                    |\n",
        "| fftpack    |    Fast Fourier Transform routines                        |\n",
        "| integrate  |    Integration and ordinary differential equation solvers |\n",
        "| interpolate|    Interpolation and smoothing splines                    |\n",
        "| io         |    Input and Output                                       |\n",
        "| linalg     |    Linear algebra                                         |\n",
        "| ndimage    |    N-dimensional image processing                         |\n",
        "| odr        |    Orthogonal distance regression                         |\n",
        "| optimize   |    Optimization and root-finding routines                 |\n",
        "| signal     |    Signal processing                                      |\n",
        "| sparse     |    Sparse matrices and associated routines                |\n",
        "| spatial    |    Spatial data structures and algorithms                 |\n",
        "| special    |    Special functions                                      |\n",
        "| stats      |    Statistical distributions and functions                |\n"
      ]
    },
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      "cell_type": "markdown",
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      "source": [
        "## Misc\n",
        "Utilities that have no other home\n",
        "\n"
      ]
    },
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          "height": 269
        },
        "outputId": "39140af7-2372-4d3d-bd44-135f8b161f6e"
      },
      "source": [
        "from scipy import misc\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "face = misc.face()\n",
        "plt.imshow(face)\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lo4lJvQQAnzA",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 405
        },
        "outputId": "39ed914b-1a56-4237-9639-5c247ebd49e7"
      },
      "source": [
        "from PIL import Image\n",
        "# 8-bit grayscale 512 x 512 image for demos\n",
        "a = misc.ascent()\n",
        "print(a)\n",
        "print(type(a))\n",
        "figure_name = 'figure.08.01' \n",
        "file_path = f'/content/drive/MyDrive/[WIP]Kennedy-Noah-Python-DataScience-Book/images-2021-06-05/Colored/Chpt08/{figure_name}.png'\n",
        "image_a = Image.fromarray(a, mode='RGB')\n",
        "image_a.save(file_path)\n",
        "convert_to_greyscale(file_path, figure_name)\n",
        "plt.imshow(a)\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[[ 83  83  83 ... 117 117 117]\n",
            " [ 82  82  83 ... 117 117 117]\n",
            " [ 80  81  83 ... 117 117 117]\n",
            " ...\n",
            " [178 178 178 ...  57  59  57]\n",
            " [178 178 178 ...  56  57  57]\n",
            " [178 178 178 ...  57  57  58]]\n",
            "<class 'numpy.ndarray'>\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6RX7H5pQAw7W"
      },
      "source": [
        "\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qniBofZw0Cci"
      },
      "source": [
        "## special\n",
        "special functions of mathimatical physics\n",
        "Most functions here use broadcasting rules.\n",
        "Includes for Airy functions, Elliptical functions, Bessel functions, Struve functions amoung others\n",
        "includes low level stats functions not meant for direct use"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "d9_vVXn_O354"
      },
      "source": [
        "import scipy\n",
        "from scipy import special\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SodrLKyApO55",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f5ea46da-064d-489f-e998-04d7f0391232"
      },
      "source": [
        "special.factorial(3)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "6.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "G_S4xO5EsDvf",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "c889c112-cd52-480c-8d50-c1e00e08ab13"
      },
      "source": [
        "# N choose K\n",
        "special.comb(10, 2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "45.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "P3PA_NZ0s1Y4",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "80536b70-01f2-4a6e-8265-15dea0654b38"
      },
      "source": [
        "special.perm(10,2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "90.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "b-KykM-Hur0K"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Gta6t8eS0j3v"
      },
      "source": [
        "## polynomials"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sTGK-DZvu4bB"
      },
      "source": [
        "from numpy import poly1d"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QkUqLX_p1BrJ"
      },
      "source": [
        "# coefficients\n",
        "c = Polynomial([4,3,2,1])\n",
        "c"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UmcFMPkE1ft_",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7b7126da-dd61-4dcd-eb31-6e1d0d99a7f0"
      },
      "source": [
        "# roots\n",
        "# (x-1)(x-2)(x-3)(x-4)\n",
        "r = poly1d([4,3,2,1], True)\n",
        "print(r)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "   4      3      2\n",
            "1 x - 10 x + 35 x - 50 x + 24\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KW7GgHp-wF0V",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3cccfe1b-cf44-4982-f229-e229124a90c7"
      },
      "source": [
        "r(5)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "24.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 40
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qyTwpLxh1lxL",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "301feff4-7816-4d91-ac3b-3897e79e3ca1"
      },
      "source": [
        "p1 = poly1d((2,3))\n",
        "print(p1)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            " \n",
            "2 x + 3\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bOIhVgtP2qIb",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a1a2c058-0f8a-4c6e-de9b-ef6efe40a434"
      },
      "source": [
        "p2 = poly1d((1,2,3))\n",
        "print(p2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "   2\n",
            "1 x + 2 x + 3\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Dn_0YJsx2y4x",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d2a5628d-3526-48ee-b6ee-929f3e775baf"
      },
      "source": [
        "print(p2*p1)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "   3     2\n",
            "2 x + 7 x + 12 x + 9\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "k6sQklAj20jM",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "02c13988-634a-4930-8c24-c6ca3a428051"
      },
      "source": [
        "print(p2.deriv())"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            " \n",
            "2 x + 2\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ADAdeK8t28P4",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d51546f9-2687-4ac6-e597-77868851452d"
      },
      "source": [
        "print(p2.integ())"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "        3     2\n",
            "0.3333 x + 1 x + 3 x\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "71RXh8uY3wKN",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b6702689-be61-44d2-a9e5-02940cd6f632"
      },
      "source": [
        "# evaluate\n",
        "p2(4)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "27"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 46
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "aaNDq0t54BdX"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9tNMl6yGf_dc"
      },
      "source": [
        "## Statistics\n",
        "`scipy.stats`\n",
        "- Distribution classes for discrete and continuous random variables"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Z9uthxYPgm6L"
      },
      "source": [
        "from scipy import stats\n",
        "import matplotlib.pyplot as plt"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "QrGnCD0a-69C"
      },
      "source": [
        "Discrete Distributions\n",
        "All take extra parameter for shifting the distribution"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "t9P2VKcBN-d_"
      },
      "source": [
        "from scipy import stats\n",
        "stats.binom"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "O2q6iwyH_W19",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "89e4216f-b210-420f-b355-81b3daf21482"
      },
      "source": [
        "from scipy import stats\n",
        "B = stats.binom(20, 0.3) # Declare X to be a binomial random variable\n",
        "B"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<scipy.stats._distn_infrastructure.rv_frozen at 0x7f91e735e650>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nyvxRPcCb5Z6",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7d688c02-3c39-4948-92ae-618ac32fa330"
      },
      "source": [
        "B.pmf(2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.02784587252426866"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "W1iTY1pRdrwC",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a8fbd48b-a9fb-48fd-b26c-674294b7e0b8"
      },
      "source": [
        "B.cdf(4)           "
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.2375077788776017"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "EbsgRJQzdw4v",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b46506e3-d8c4-4115-ef5e-b92694a77939"
      },
      "source": [
        "B.mean()   "
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "6.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pSlXLQmZdznf",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "70e9a380-be41-4012-e0de-82beb6908f41"
      },
      "source": [
        "B.var()       "
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "4.199999999999999"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eAnSvNGqd5Nt",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "1a9d3c2c-94cb-43e3-9216-53a05febb74d"
      },
      "source": [
        "B.std()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2.0493901531919194"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cl9rErc2d7Dw",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "706bf46f-4828-4e5a-a597-e06d819fb034"
      },
      "source": [
        "B.rvs()          "
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "11"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sfyajDxBd9HG",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "cd140d50-6638-4a1b-d7a0-dc58df4c1431"
      },
      "source": [
        "B.rvs(15)          "
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([8, 4, 6, 8, 4, 8, 8, 5, 7, 9, 4, 5, 5, 9, 4])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3hiGnvj_b9dH"
      },
      "source": [
        "           # P(B = 2)\n",
        "# P(B <= 4)\n",
        "        # E[B]\n",
        "     # Var(B)\n",
        "            # Std(B)\n",
        "  # Get a random sample from B\n",
        "           # Get 15 random samples form B"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2CBzMV5XeWAD",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7fcf7dba-5ab6-41f9-9494-163770b5dd76"
      },
      "source": [
        "rvs = B.rvs(size=100000)\n",
        "rvs"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([6, 8, 4, ..., 6, 7, 9])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cWzS3l0meaZi",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "aa2c0f40-c892-4634-98c7-b483ae0cabd7"
      },
      "source": [
        "plt.hist(rvs)\n",
        "save_fig(plt, 'Figure.08.02')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "True\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fk3vJ0ceedPx",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8b654777-7d10-47af-e6ee-a7018ab17d02"
      },
      "source": [
        "P = stats.poisson(mu=3)\n",
        "rvs = P.rvs(size=100000)\n",
        "rvs"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 2, 3, ..., 1, 2, 3])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 28
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "V_-2cqRKfoQB",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "fd81a621-6c4f-4938-ca8e-91db6767f8c2"
      },
      "source": [
        "plt.hist(rvs)\n",
        "save_fig(plt, 'Figure.08.03')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "True\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PR4HAf1SezsY",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "5e6cef0e-1f2f-4867-cadc-6342a7cc6635"
      },
      "source": [
        "P = stats.poisson(mu=15)\n",
        "rvs = P.rvs(size=100000)\n",
        "plt.hist(rvs)\n",
        "save_fig(plt, 'Figure.08.04')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "True\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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4tKr2JPlP4OdVtaOXfZ0urww0qqr6MXDugvJGYHdb3k3nD/S8NcYY+kpVna6qZ9vyb4BjdL6x3zfnYpwx9I3qeLN9vKK9CvgQ8L1Wn9fnYSKGwdwo4EdJnmk/qdGvllTV6bb8KrCkl52ZgXuSPNemkebt9MqFkqwE3gc8TZ+eiwvGAH10LpIsSHIYOAscBP4PeL2qzrcmJ+mzkOtmGMyND1bV9cDNwJY2fdHXqjO/2I9zjDuAdwFrgNPAl3vbnclJ8jbgEeDTVfVG97p+ORejjKGvzkVV/aGq1tD5hYS1wN/0uEuzyjCYA1V1qr2fBb5P5z+kfnSmzf+OzAOf7XF/pqyqzrQ/1H8EvkEfnIs2R/0I8K2qerSV++pcjDaGfjwXAFX1OvAk8PfA1UlGvrzb1z+jYxhcZEmuajfNSHIVsB54fvyt5q19wKa2vAl4rId9mZaRv0CbjzDPz0W7cfkQcKyqvtK1qm/OxVhj6KdzkWRxkqvb8lvp/L9XjtEJhY+2ZvP6PEzEp4kusiR/TedqADo///Htqnqgh12alCTfAW6k8xO9Z4BtwH8Be4G/BF4Gbq+qeXuDdowx3EhnWqKAE8Anu+be550kHwT+BzgC/LGVP09nzr0vzsU4Y7iTPjkXSf6Wzg3iBXT+Eb23qu5vf773ANcAPwP+uap+17ueTp9hIElymkiSZBhIkjAMJEkYBpIkDANJEoaBJAnDQJIE/D84VQFbBoLaGgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "e4z8poqBimMe"
      },
      "source": [
        ""
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VeC6cfYYmWJd"
      },
      "source": [
        "Continuous Distributions\n",
        "all have location(L), and scale(S) parameters and various shape parameters."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5RHDNPfnrygq",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "729aedb0-a1bb-4bd8-a0c9-8e71d63f72e1"
      },
      "source": [
        "N = stats.norm()\n",
        "rvs = N.rvs(size=100000)\n",
        "rvs"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 1.40558154,  0.37149645, -1.21354314, ...,  0.60169012,\n",
              "       -0.99245994, -1.17489934])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 31
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a9mvrZUqr1-Q",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "3ea8d958-f45d-42d9-8df4-5e0045ce4ff1"
      },
      "source": [
        "plt.hist(rvs, bins=1000)\n",
        "save_fig(plt, 'Figure.08.05')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "True\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "l-J2EFoYuZyn",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "32b11f3e-c0b8-4ef3-fc01-708294082c60"
      },
      "source": [
        "# For norm location is mean, scale is standard deviation\n",
        "N1 = stats.norm(loc=30,scale=50)\n",
        "rvs = N1.rvs(size=100000)\n",
        "plt.hist(rvs, bins=1000)\n",
        "save_fig(plt, 'Figure.08.06')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "True\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JZC8kLGhvca3",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d70bb24d-13dc-4c9b-ee0e-49c6a91221be"
      },
      "source": [
        "N1.mean()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "30.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 66
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "z6Ic7keDlmRJ"
      },
      "source": [
        "probability density function is the probability that a value in a given range is a certain value."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CJvNZx33sSZz",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "aebb7d4f-cc8c-464d-d14e-24bb84042213"
      },
      "source": [
        "N1.pdf(4)       "
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.006969850255179491"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 67
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wVt501NAs1X8",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "734968e6-93cc-4321-9983-019b2fdf2090"
      },
      "source": [
        "N1.cdf(2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.28773971884902705"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 68
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rGccJ9mPs9sE",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a427e0e6-1b26-430b-8da8-f0106c374965"
      },
      "source": [
        "N1.rvs()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "3.6117907132680003"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 69
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "52S0xUkMvlgW",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7f27d12a-a06c-4fb9-afdc-04e28c141f66"
      },
      "source": [
        "N1.median()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "30.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 70
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PIJGfgAOvGYj",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b759f2b5-d45f-4e35-c906-619981df1a83"
      },
      "source": [
        "N1.std()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "50.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 71
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "A9qEsevivJTB",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "6845cc8a-5048-42b7-aa43-ed090efa4816"
      },
      "source": [
        "N1.var()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2500.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 72
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CmeEHuzCsBLm"
      },
      "source": [
        "- declare N a normal random variable\n",
        "- probability density at 2\n",
        "- culmative distributin Function up to 1\n",
        "- Get a random sample of size 10000"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9diO6Ws3i-k-",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "9a1f5057-78fd-48ff-b1b6-6dc51bc4d2b7"
      },
      "source": [
        "from scipy import stats\n",
        "E = stats.expon()\n",
        "print(E)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<scipy.stats._distn_infrastructure.rv_frozen object at 0x7f91e1358c90>\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9C68_T1etl-w",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7df35eef-8970-4351-ac42-670cd6e5118d"
      },
      "source": [
        "E.pdf(1)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.36787944117144233"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 35
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "T_F4iHS6tyP8",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "e4a5c521-9a54-42ec-d032-b40996038e66"
      },
      "source": [
        "E.cdf(2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.8646647167633873"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 75
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jj5T9vDBt1WM",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "fe240cb2-fb44-4ff2-d021-feedfe7e49be"
      },
      "source": [
        "E.rvs()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2.0614409776683242"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 76
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yqQdxs2It3dj",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "92bfc8ed-7966-48a0-823b-1f55435cf270"
      },
      "source": [
        "rvs = E.rvs(size=100000)\n",
        "rvs"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([3.98660778, 0.06398271, 0.42729505, ..., 0.11009323, 0.48722534,\n",
              "       0.64819168])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 36
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1KAhQHNTt9ai",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "369d3c17-93b3-4d41-98b6-3ef1bd73d62c"
      },
      "source": [
        "plt.hist(rvs, bins=1000)\n",
        "save_fig(plt, 'Figure.08.07')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "True\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5BvPxbIpuNER",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "4a2e3d37-b227-4f29-db68-4f003046911f"
      },
      "source": [
        "U = stats.uniform()\n",
        "rvs = U.rvs(size=10000)\n",
        "rvs"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0.84700139, 0.98652771, 0.16339805, ..., 0.82445629, 0.16560241,\n",
              "       0.02618144])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 38
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "B6vGMUtW-XYe",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "3e14a409-c3b6-422d-a3b7-07eac719ac37"
      },
      "source": [
        "plt.hist(rvs, bins=1000)\n",
        "#plt.plot(rvs)\n",
        "save_fig(plt, 'Figure.08.08')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "True\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7v2ZwAre-bIs"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "isr7fUkiin9k"
      },
      "source": [
        "## Fitting"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XNP7kOqjiqdO",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "62d55fa1-7d1d-43eb-847a-f02a19996e4e"
      },
      "source": [
        "import numpy as np\n",
        "data = np.arange(150)\n",
        "data"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,\n",
              "        13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,\n",
              "        26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,\n",
              "        39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,\n",
              "        52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,\n",
              "        65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,\n",
              "        78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,\n",
              "        91,  92,  93,  94,  95,  96,  97,  98,  99, 100, 101, 102, 103,\n",
              "       104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,\n",
              "       117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129,\n",
              "       130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142,\n",
              "       143, 144, 145, 146, 147, 148, 149])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 81
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "l7fmO6suiw9_",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8db84a26-afad-477a-bc21-f7ccabd1ed46"
      },
      "source": [
        "stats.norm.fit(data)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(74.5, 43.300307928081374)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 82
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LxoXzBmSi7y9",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "efa42c07-7b63-4a9f-ec12-a3be5c9b5594"
      },
      "source": [
        "loc, scale = stats.expon.fit(data)\n",
        "loc, scale"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.0, 74.5)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 83
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nLeysCzgE7ta",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "022af55b-16cb-45f5-f662-8929ebee5360"
      },
      "source": [
        "E = stats.expon(loc=loc, scale=scale)\n",
        "rsv = E.rvs(size=1000000)\n",
        "plt.hist(rsv, bins=1000)\n",
        "save_fig(plt, 'Figure.09.09')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "True\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XwXptW8TjXqB",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "0f23d6ea-540e-4421-f9f1-00efc3f9abef"
      },
      "source": [
        "import numpy as np\n",
        "data = np.random.normal(0, 0.5, 1000)\n",
        "\n",
        "mean, var  = stats.distributions.norm.fit(data)\n",
        "\n",
        "x = np.linspace(-5,5,100)\n",
        "\n",
        "fitted_data = stats.distributions.norm.pdf(x, mean, var)\n",
        "\n",
        "fig = plt.figure()\n",
        "plt.hist(data, density=True)\n",
        "#save_fig(plt, 'Figure.09.10')\n",
        "plt.plot(x, fitted_data,'r-')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fb6a4c12d90>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 123
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "aPPspnfAiFcM",
        "outputId": "d80e209e-6a45-4a1c-ffd0-f9ed3c1ff519"
      },
      "source": [
        "figure_name = 'Figure.09.10'\n",
        "file_path = f'/content/drive/MyDrive/[WIP]Kennedy-Noah-Python-DataScience-Book/Chapters[Rough-Drafts]/images/Colored/Chpt08/{figure_name}.png'\n",
        "print(os.path.exists(file_path))\n",
        "fig.savefig(file_path, dpi=1000)\n",
        "\n",
        "image = Image.open(file_path).convert(\"L\")\n",
        "arr = np.asarray(image)\n",
        "target_path = f'/content/drive/MyDrive/[WIP]Kennedy-Noah-Python-DataScience-Book/Chapters[Rough-Drafts]/images/Chpt08/{figure_name}.png'\n",
        "\n",
        "\n",
        "plt.imsave(target_path, arr, cmap='gray', vmin=0, vmax=255)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "True\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ffrczYG4EUSA",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "312d886d-13a7-49ec-ec42-d7adc4f85f47"
      },
      "source": [
        "mean, var"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.0010353022518099703, 0.4892945607927052)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 86
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RkLL06XNEfWl",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "2354d874-1941-4c94-8b78-92ba7e6c5f47"
      },
      "source": [
        "x"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([-5.        , -4.8989899 , -4.7979798 , -4.6969697 , -4.5959596 ,\n",
              "       -4.49494949, -4.39393939, -4.29292929, -4.19191919, -4.09090909,\n",
              "       -3.98989899, -3.88888889, -3.78787879, -3.68686869, -3.58585859,\n",
              "       -3.48484848, -3.38383838, -3.28282828, -3.18181818, -3.08080808,\n",
              "       -2.97979798, -2.87878788, -2.77777778, -2.67676768, -2.57575758,\n",
              "       -2.47474747, -2.37373737, -2.27272727, -2.17171717, -2.07070707,\n",
              "       -1.96969697, -1.86868687, -1.76767677, -1.66666667, -1.56565657,\n",
              "       -1.46464646, -1.36363636, -1.26262626, -1.16161616, -1.06060606,\n",
              "       -0.95959596, -0.85858586, -0.75757576, -0.65656566, -0.55555556,\n",
              "       -0.45454545, -0.35353535, -0.25252525, -0.15151515, -0.05050505,\n",
              "        0.05050505,  0.15151515,  0.25252525,  0.35353535,  0.45454545,\n",
              "        0.55555556,  0.65656566,  0.75757576,  0.85858586,  0.95959596,\n",
              "        1.06060606,  1.16161616,  1.26262626,  1.36363636,  1.46464646,\n",
              "        1.56565657,  1.66666667,  1.76767677,  1.86868687,  1.96969697,\n",
              "        2.07070707,  2.17171717,  2.27272727,  2.37373737,  2.47474747,\n",
              "        2.57575758,  2.67676768,  2.77777778,  2.87878788,  2.97979798,\n",
              "        3.08080808,  3.18181818,  3.28282828,  3.38383838,  3.48484848,\n",
              "        3.58585859,  3.68686869,  3.78787879,  3.88888889,  3.98989899,\n",
              "        4.09090909,  4.19191919,  4.29292929,  4.39393939,  4.49494949,\n",
              "        4.5959596 ,  4.6969697 ,  4.7979798 ,  4.8989899 ,  5.        ])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 87
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1KkRr6rNGKvD"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}