{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wYmlWQi9fAAm"
      },
      "source": [
        "#**Python Basics**\n",
        "In this section, you will learn the basics of the programming language \"Python\":\n",
        "*   Some syntax rules\n",
        "*   Variables\n",
        "*   Data types I\n",
        "*   Formatting\n",
        "*   Data types II\n",
        "*   Operators\n",
        "*   User input\n",
        "*   Flow control: if - elif - else - for - while\n",
        "*   Functions\n",
        "*   Scope: Local and global variables\n",
        "*   Modules\n",
        "*   PIP: Package Installer for Python\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "w1OSrPe0FfVB"
      },
      "source": [
        "## **Functions**\n",
        "Functions are the first step to code reuse. They allow you to define a reusable block of code that can be used repeatedly in a program.\n",
        "\n",
        "Python provides several built-in functions such as print(), len() or type(), but you can also define your own functions to use within your programs.\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sEF-UFtDNmoG"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1a1Jm-PUQZmG"
      },
      "source": [
        "### **Create a Function**\n",
        "To define a Python function, use def keyword. Here’s the simplest possible function that prints ‘Hello, World!’ on the screen."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "4bfQzp8qQeqA"
      },
      "outputs": [],
      "source": [
        "a = 3\n",
        "b = 2\n",
        "def line():\n",
        "    print('Line equation : y = a*x+b')\n",
        "    print(f'y = {a}*x+{b}')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "H89WQu14Qm-I"
      },
      "source": [
        "### **Call a Function**\n",
        "The def statement only creates a function but does not call it. After the def has run, you can can call (run) the function by adding parentheses after the function’s name."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "H6Iq05sgQsa5",
        "outputId": "f7138f0a-a136-47e0-cca2-90b0e4d35080"
      },
      "outputs": [],
      "source": [
        "line()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XnkyVr3zRX-W"
      },
      "source": [
        "### **Pass Arguments**\n",
        "You can send information to a function by passing values, known as arguments. Arguments are declared after the function name in parentheses.\n",
        "\n",
        "When you call a function with arguments, the values of those arguments are copied to their corresponding parameters inside the function."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "p7WvaFeLRctO"
      },
      "outputs": [],
      "source": [
        "def line(a,b):\n",
        "    print('Line equation : y = a*x+b')\n",
        "    print(f'y = {a}*x+{b}')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TUxSXSCtRmmQ",
        "outputId": "69575966-cbb2-479c-883b-d1e3fd7da347"
      },
      "outputs": [],
      "source": [
        "line(3,2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wRU3zWJjRu0D"
      },
      "source": [
        "### **Types of Arguments**\n",
        "Python handles function arguments in a very flexible manner, compared to other languages. It supports multiple types of arguments in the function definition. Here’s the list:\n",
        "\n",
        "* Positional Arguments\n",
        "* Keyword Arguments\n",
        "* Default Arguments\n",
        "* Variable Length Positional Arguments (*args)\n",
        "* Variable Length Keyword Arguments (**kwargs)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "DX3ChSCLR48O"
      },
      "source": [
        "#### **Positional Arguments**\n",
        "The most common are positional arguments, whose values are copied to their corresponding parameters in order.\n",
        "The only downside of positional arguments is that you need to pass arguments in the order in which they are defined."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "6yCTG_TDSBkM"
      },
      "outputs": [],
      "source": [
        "def line(a,b):\n",
        "    print('Line equation : y = a*x+b')\n",
        "    print(f'y = {a}*x+{b}')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "lb5WwqnRSUMF",
        "outputId": "b2de94bd-df96-4a0e-91e9-a71e2abf709d"
      },
      "outputs": [],
      "source": [
        "line(3, 2)\n",
        "line(2, 3)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "u8KN_y7KxH3A"
      },
      "outputs": [],
      "source": [
        "def line(a,b):\n",
        "  \"\"\"This function return the linear equation between x and y\n",
        "  you need to provide the slope 'a' and intersection point 'b'\"\"\"\n",
        "  print('Line equation : y = a*x+b')\n",
        "  print(f'y = {a}*x+{b}')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "mQzGR0fCx8z0",
        "outputId": "bf8f87db-17eb-42f7-af25-0a5d2372f789"
      },
      "outputs": [],
      "source": [
        "help(line)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4qtW6CCByNI1",
        "outputId": "699fbc26-70a3-478b-d497-badaf53aa980"
      },
      "outputs": [],
      "source": [
        "print(line.__doc__)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SV5DFKVJSgFP"
      },
      "source": [
        "#### **Keyword Arguments**\n",
        "To avoid positional argument confusion, you can pass arguments using the names of their corresponding parameters.\n",
        "\n",
        "In this case, the order of the arguments no longer matters because arguments are matched by name, not by position."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "9n03aYzwSkQZ",
        "outputId": "dbf0587e-c039-4a5e-90f9-4888d65bf932"
      },
      "outputs": [],
      "source": [
        "line(a=2, b=3)\n",
        "line(b=3, a=2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fftXhzIlTAKo"
      },
      "source": [
        "It is possible to combine positional and keyword arguments in a single call. If you do so, specify the positional arguments before keyword arguments."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "prsorfD4S7AY",
        "outputId": "f404b222-bbe1-4776-8caf-0e9c8e5d0924"
      },
      "outputs": [],
      "source": [
        "line(2, b=3)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 141
        },
        "id": "mxp9rQERSyE5",
        "outputId": "cf612481-cd85-4bd6-a5af-06c022d20068"
      },
      "outputs": [],
      "source": [
        "line(b=3, 2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qrZiRArwTCqt"
      },
      "source": [
        "#### **Default Arguments**\n",
        "You can specify default values for arguments when defining a function. The default value is used if the function is called without a corresponding argument.\n",
        "\n",
        "In short, defaults allow you to make selected arguments optional."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "pgDYRHKZTHP_"
      },
      "outputs": [],
      "source": [
        "def line(a,b=3):\n",
        "    print('Line equation : y = a*x+b')\n",
        "    print(f'y = {a}*x+{b}')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ANYbMTyyTTLE",
        "outputId": "8ab34ed7-5a44-4307-d57b-6f7a46dc6ce9"
      },
      "outputs": [],
      "source": [
        "line(2)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TxrbEz5oTU4s",
        "outputId": "ae6ed3e3-e955-4778-8c80-6e4a3889a7eb"
      },
      "outputs": [],
      "source": [
        "line(2, 4)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "w0bPN0_XTayF"
      },
      "source": [
        "#### **Variable Length Arguments** (*args and *kwargs)\n",
        "Variable length arguments are useful when you want to create functions that take unlimited number of arguments. Unlimited in the sense that you do not know beforehand how many arguments can be passed to your function by the user.\n",
        "This feature is often referred to as ***var-args***."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OLQLIIG6Tr-X"
      },
      "source": [
        "***args:** When you prefix a parameter with an asterisk * , it collects all the unmatched positional arguments into a tuple. Because it is a normal tuple object, you can perform any operation that a tuple supports, like indexing, iteration etc."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Generate the function which return you the polynomial expression:\n",
        "\n",
        "$P(x)={a}_0+{a}_1 x+{a}_2 x^2+ .... +{a}_n x^n$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {
        "id": "Rb_xTg4hT0xT"
      },
      "outputs": [],
      "source": [
        "def poly(*args):\n",
        "  m = len(args)\n",
        "  expression =f'polynomial function P = {args[0]}'\n",
        "  for coef in args:\n",
        "    i = args.index(coef)\n",
        "    if i != 0:\n",
        "      expo = args.index(coef)\n",
        "      X = f'{coef} x**{expo}'\n",
        "      expression = expression + ' + ' + X\n",
        "    #if coef != 0:\n",
        "      \n",
        "\n",
        "  print(expression)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "YGy6fgFRV-az",
        "outputId": "6eb5fcc8-55e1-4170-9769-3f50d51a76c5"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "polynomial function P = 2 + 3 x**1 + 1 x**2 + 4 x**3\n"
          ]
        }
      ],
      "source": [
        "poly(2, 3, 1, 4)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "s4xlOkGeXytQ"
      },
      "source": [
        "****kwargs:** The ** syntax is similar, but it only works for keyword arguments. It collects them into a new dictionary, where the argument names are the keys, and their values are the corresponding dictionary values.\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "VXeWPilZsz7l",
        "outputId": "7cc0f579-a640-4e89-e775-c56cd3ee1332"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "{'name': 'Bob', 'age': 25, 'job': 'dev'}\n"
          ]
        }
      ],
      "source": [
        "def print_arguments(**kwargs):\n",
        "    print(kwargs)\n",
        "\n",
        "print_arguments(name='Bob', age=25, job='dev')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "RcYi2WUptCu0"
      },
      "source": [
        "### **Return value:**\n",
        "To return a value from a function, simply use a return statement. Once a return statement is executed, nothing else in the function body is executed."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {
        "id": "7m4gt3butNKh"
      },
      "outputs": [],
      "source": [
        "def line(a,b):\n",
        "  x = []\n",
        "  y = []\n",
        "  print(f'Line equation : y = {a} * x + {b}')\n",
        "\n",
        "  for i in range(-10, 10, 1):\n",
        "    abc = float(i)\n",
        "    ord = float(a * i + b)\n",
        "    x.append(abc)\n",
        "    y.append(ord)\n",
        "  return print('x =',x ,'\\n','y =',y)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "dIOdc78ut1Ak",
        "outputId": "5ba4866b-902f-4fa1-e11b-fff43e0c3dfa"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Line equation : y = 2 * x + 2\n",
            "x = [-10.0, -9.0, -8.0, -7.0, -6.0, -5.0, -4.0, -3.0, -2.0, -1.0, 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0] \n",
            " y = [-18.0, -16.0, -14.0, -12.0, -10.0, -8.0, -6.0, -4.0, -2.0, 0.0, 2.0, 4.0, 6.0, 8.0, 10.0, 12.0, 14.0, 16.0, 18.0, 20.0]\n"
          ]
        }
      ],
      "source": [
        "line(2, 2)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {
        "id": "j93cGnGCvtvQ"
      },
      "outputs": [],
      "source": [
        "def line(a,b):\n",
        "  x = []\n",
        "  y = []\n",
        "  print(f'Line equation : y = {a} * x + {b}')\n",
        "\n",
        "  for i in range(-10, 10, 1):\n",
        "    abc = float(i)\n",
        "    ord = float(a * i + b)\n",
        "    x.append(abc)\n",
        "    y.append(ord)\n",
        "  return x, y"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 40,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "PWxB7fwsvx6D",
        "outputId": "41a4c0e6-f246-47b2-8bb4-16caba27221c"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Line equation : y = 0.5 * x + 3\n"
          ]
        }
      ],
      "source": [
        "a, b = line(.5, 3)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 41,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x222ece4ddb0>]"
            ]
          },
          "execution_count": 41,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import matplotlib.pyplot\n",
        "matplotlib.pyplot.plot(a, b)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 44,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "337i6oBkwFjt",
        "outputId": "2c705e5f-6f6b-423f-ffcf-d6737be177e2"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x222eefe7490>]"
            ]
          },
          "execution_count": 44,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "plt.plot(a, b)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 45,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Line equation : y = -0.5 * x + 3\n"
          ]
        },
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x222ef27ca90>]"
            ]
          },
          "execution_count": 45,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "X, Y = line(-.5, 3)\n",
        "plt.plot(X, Y)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PM3V4GqVwg0x"
      },
      "source": [
        "try the same thing with a polynomial function"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Zap0aJFxwkHd"
      },
      "outputs": [],
      "source": [
        "def poly(*args):\n",
        "  m = len(args)\n",
        "  expression =f'polynomial function P = {args[0]}'\n",
        "  for i in args:\n",
        "    if i != 0:\n",
        "      n = args.index(i)\n",
        "      X = f'{i}*x^{n}'\n",
        "      expression = expression + ' + ' + X\n",
        "\n",
        "  print(expression)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lFR1iTfbst95"
      },
      "source": [
        "So let's define the general experssion of normal function ;) :\n",
        "\n",
        "$f(x) = \\frac{1}{\\sigma\\sqrt{2π}} exp[-\\frac{1}{2}(\\frac{x-μ}{\\sigma})^2]$\n",
        "\n",
        "define the function which allow to calculate the normal distribution of samples value (x) ranging between -10 and +10"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 46,
      "metadata": {
        "colab": {
          "background_save": true
        },
        "id": "hIjrMBOScz9e"
      },
      "outputs": [],
      "source": [
        "def Normal(sigma, mu):\n",
        "  pi = 3.14159265359\n",
        "  exp = 2.71828\n",
        "  X = []\n",
        "  Y = []\n",
        "  for i in range(-10, 10, 1):\n",
        "    x = float(i)\n",
        "    X.append(x)\n",
        "    argument = -0.5 * ((x - mu)/sigma)**2\n",
        "    Normal = (1/(sigma*(2*pi)**0.5)) * (exp**argument)\n",
        "    Y.append(Normal)\n",
        "  return X, Y\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 48,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x222ef366a70>]"
            ]
          },
          "execution_count": 48,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "X, Y = Normal(2, 0)\n",
        "plt.plot(X, Y)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6ySt9ycFhgRl"
      },
      "source": [
        "### Lambda function\n",
        "A lambda is simply a way to define a function in Python. They are sometimes known as lambda operators or lambda functions.\n",
        "The difference is that lambda functions are anonymous. Meaning, they are functions that do not need to be named. They are used to create small one-line functions in cases where a normal function would be an overkill."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "S4HA0qoehrep"
      },
      "outputs": [],
      "source": [
        "power = lambda x,a : x**a"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "VzbAz3TDiEYN",
        "outputId": "7b378496-31e1-4f44-e025-75e6779de835"
      },
      "outputs": [],
      "source": [
        "print(power(2,3))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "n_LyiYieiHDB",
        "outputId": "1c75816d-35f3-4412-e484-802ffc7cf3ce"
      },
      "outputs": [],
      "source": [
        "print(power(1.2, 0.8))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fLL127V4ic3w"
      },
      "source": [
        "Like a normal function, a lambda function supports all the different ways of passing arguments. This includes:\n",
        "\n",
        "* Positional arguments\n",
        "* Keyword arguments\n",
        "* Default argument\n",
        "* Variable list of arguments (*args)\n",
        "* Variable list of keyword arguments (**args)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qJUXyx2TiaC0",
        "outputId": "3c34b4d9-cbfe-468c-e92f-998e21fc8073"
      },
      "outputs": [],
      "source": [
        "# Positional arguments\n",
        "add = lambda x, y, z: x+y+z\n",
        "print(add(2, 3, 4))\n",
        "\n",
        "\n",
        "# Keyword arguments\n",
        "add = lambda x, y, z: x+y+z\n",
        "print(add(2, z=3, y=4))\n",
        "\n",
        "\n",
        "# Default arguments\n",
        "add = lambda x, y=3, z=4: x+y+z\n",
        "print(add(2))\n",
        "\n",
        "\n",
        "# *args\n",
        "add = lambda *args: sum(args)\n",
        "print(add(2, 3, 4))\n",
        "\n",
        "\n",
        "# **args\n",
        "add = lambda **kwargs: sum(kwargs.values())\n",
        "print(add(x=2, y=3, z=4))\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "a_8eZ_d2wHmS"
      },
      "source": [
        "### Python Variables Scope\n",
        "Not all variables are accessible from all parts of our program. The part of the program where the variable is accessible is called its “scope” and is determined by where the variable is declared.\n",
        "\n",
        "Python has three different variable scopes:\n",
        "\n",
        "* Local scope\n",
        "* Global scope\n",
        "* Enclosing scope"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZWRChyquwdsi"
      },
      "source": [
        "**Local variables**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 62,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0ce4ygTTwPsW",
        "outputId": "7f017812-3c86-44d0-bfa0-761be3a92023"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "42\n"
          ]
        }
      ],
      "source": [
        "def myfunc():\n",
        "  x = 42\n",
        "  print(x)\n",
        "  \n",
        "\n",
        "x = myfunc()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 63,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 176
        },
        "id": "2iPLGQRtwuoL",
        "outputId": "301b4ad5-897b-4788-cb32-530ddfde97e0"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "None\n"
          ]
        }
      ],
      "source": [
        "print(x)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XlhwUVfjxF63"
      },
      "source": [
        "**Global variables**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 64,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8beVIICdwzad",
        "outputId": "9058464a-c85f-42c4-e446-7bd2071d2b33"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "29\n"
          ]
        }
      ],
      "source": [
        "y = 29\n",
        "def another_func():\n",
        "  print(y)\n",
        "\n",
        "another_func()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 65,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ngfntSmqxB4J",
        "outputId": "7996261f-096c-4574-e7fe-8d669b1794c6"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "29\n"
          ]
        }
      ],
      "source": [
        "print(y)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "B2cKtDSxxidl"
      },
      "source": [
        "Next, the value of global variable x will not change. Because Python created a new local variable named x; which disappears when the function ends, and has no effect on the global variable."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 66,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "l4isaeZvxN6w",
        "outputId": "ed9441d9-c46f-4b06-f1a1-397d0fa3a5db"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "0\n",
            "35\n"
          ]
        }
      ],
      "source": [
        "z = 35\n",
        "def new_func():\n",
        "  z = 0\n",
        "  print(z)\n",
        "\n",
        "new_func()\n",
        "print(z)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 67,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "AWr6BPCYxtIc",
        "outputId": "a67eb94e-e1c4-4ea5-f1e5-74e3ec0caaa5"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "0\n",
            "0\n"
          ]
        }
      ],
      "source": [
        "z = 35\n",
        "def new_func():\n",
        "  global z\n",
        "  z = 0\n",
        "  print(z)\n",
        "\n",
        "new_func()\n",
        "print(z)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "W8K9bVKex-uu"
      },
      "outputs": [],
      "source": [
        "x = 42          # global scope x\n",
        "\n",
        "def myfunc():\n",
        "    x = x + 1\n",
        "    print(x)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 280
        },
        "id": "umj4ghb5yCSL",
        "outputId": "fdf1da87-7144-4dca-cbca-3f734b60e09c"
      },
      "outputs": [],
      "source": [
        "myfunc()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OGw2z-Q7yYwf"
      },
      "source": [
        "**Enclosing variables**\n",
        "If a variable is declared in an enclosing function, it is nonlocal to nested functions. It allows you to assign to variables in an outer, but no-global, scope."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "6W6Mty1vyduy",
        "outputId": "9824950b-3438-4c53-c896-c37b4477c452"
      },
      "outputs": [],
      "source": [
        "# enclosing function\n",
        "def f1():\n",
        "    x = 42\n",
        "    # nested function\n",
        "    def f2():\n",
        "        x = 0\n",
        "        print(x)    # x is 0\n",
        "    f2()\n",
        "    print(x)        # x is still 42\n",
        "\n",
        "f1()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "cAKFr7Kmykft",
        "outputId": "f068aff6-7409-4e0a-cc52-9f705be1d7cc"
      },
      "outputs": [],
      "source": [
        "# enclosing function\n",
        "def f1():\n",
        "    x = 42\n",
        "    # nested function\n",
        "    def f2():\n",
        "        nonlocal x\n",
        "        x = 0\n",
        "        print(x)    # x is now 0\n",
        "    f2()\n",
        "    print(x)        # x remains 0\n",
        "\n",
        "f1()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## **Modules**\n",
        "In Python, Modules are simply files with the “. py” extension containing Python code that can be imported inside another Python Program. In simple terms, we can consider a module to be the same as a code library or a file that contains a set of functions that you want to include in your application."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Define some functions and data to use\n",
        "# then put them in python file\n",
        "\n",
        "# electron dictionary\n",
        "electron = {'class':'fundamental particle', 'Family': 'Fermion', 'Group': 'Lepton',\n",
        "            'Discovery':1897, 'by':'J.J.Thomson',\n",
        "            'Mass':9.109e-31, 'Charge':1.602e-19, 'spin':'1/2'}\n",
        "\n",
        "\n",
        "# line function\n",
        "def line(a,b, d):\n",
        "  x = []\n",
        "  y = []\n",
        "  print(f'Line equation : y = {a} * x + {b}')\n",
        "\n",
        "  for i in range(-d, d, 1):\n",
        "    abc = float(i)\n",
        "    ord = float(a * i + b)\n",
        "    x.append(abc)\n",
        "    y.append(ord)\n",
        "  return x, y\n",
        "\n",
        "# Normal distribution\n",
        "def Normal(sigma, mu, d):\n",
        "  pi = 3.14159265359\n",
        "  exp = 2.71828\n",
        "  X = []\n",
        "  Y = []\n",
        "  for i in range(-d, d, 1):\n",
        "    x = float(i)\n",
        "    X.append(x)\n",
        "    argument = -0.5 * ((x - mu)/sigma)**2\n",
        "    Normal = (1/(sigma*(2*pi)**0.5)) * (exp**argument)\n",
        "    Y.append(Normal)\n",
        "  return X, Y\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import my_modules\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'class': 'fundamental particle',\n",
              " 'Family': 'Fermion',\n",
              " 'Group': 'Lepton',\n",
              " 'Discovery': 1897,\n",
              " 'by': 'J.J.Thomson',\n",
              " 'Mass': 9.109e-31,\n",
              " 'Charge': 1.602e-19,\n",
              " 'spin': '1/2'}"
            ]
          },
          "execution_count": 3,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "my_modules.electron"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "my_modules.electron"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Line equation : y = 2 * x + 3\n"
          ]
        }
      ],
      "source": [
        "X, y = my_modules.line(2, 3, 20)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "import my_modules as mm"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Line equation : y = 1 * x + 4\n"
          ]
        },
        {
          "data": {
            "text/plain": [
              "([-10.0,\n",
              "  -9.0,\n",
              "  -8.0,\n",
              "  -7.0,\n",
              "  -6.0,\n",
              "  -5.0,\n",
              "  -4.0,\n",
              "  -3.0,\n",
              "  -2.0,\n",
              "  -1.0,\n",
              "  0.0,\n",
              "  1.0,\n",
              "  2.0,\n",
              "  3.0,\n",
              "  4.0,\n",
              "  5.0,\n",
              "  6.0,\n",
              "  7.0,\n",
              "  8.0,\n",
              "  9.0],\n",
              " [-6.0,\n",
              "  -5.0,\n",
              "  -4.0,\n",
              "  -3.0,\n",
              "  -2.0,\n",
              "  -1.0,\n",
              "  0.0,\n",
              "  1.0,\n",
              "  2.0,\n",
              "  3.0,\n",
              "  4.0,\n",
              "  5.0,\n",
              "  6.0,\n",
              "  7.0,\n",
              "  8.0,\n",
              "  9.0,\n",
              "  10.0,\n",
              "  11.0,\n",
              "  12.0,\n",
              "  13.0])"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "mm.line(1, 4, 10)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'class': 'fundamental particle',\n",
              " 'Family': 'Fermion',\n",
              " 'Group': 'Lepton',\n",
              " 'Discovery': 1897,\n",
              " 'by': 'J.J.Thomson',\n",
              " 'Mass': 9.109e-31,\n",
              " 'Charge': 1.602e-19,\n",
              " 'spin': '1/2'}"
            ]
          },
          "execution_count": 7,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "mm.electron"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "from my_modules import *"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'class': 'fundamental particle',\n",
              " 'Family': 'Fermion',\n",
              " 'Group': 'Lepton',\n",
              " 'Discovery': 1897,\n",
              " 'by': 'J.J.Thomson',\n",
              " 'Mass': 9.109e-31,\n",
              " 'Charge': 1.602e-19,\n",
              " 'spin': '1/2'}"
            ]
          },
          "execution_count": 3,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "electron"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "([-10.0,\n",
              "  -9.0,\n",
              "  -8.0,\n",
              "  -7.0,\n",
              "  -6.0,\n",
              "  -5.0,\n",
              "  -4.0,\n",
              "  -3.0,\n",
              "  -2.0,\n",
              "  -1.0,\n",
              "  0.0,\n",
              "  1.0,\n",
              "  2.0,\n",
              "  3.0,\n",
              "  4.0,\n",
              "  5.0,\n",
              "  6.0,\n",
              "  7.0,\n",
              "  8.0,\n",
              "  9.0],\n",
              " [4.4610315312313174e-05,\n",
              "  0.0001600909410918764,\n",
              "  0.0005140949199120129,\n",
              "  0.001477287275628375,\n",
              "  0.0037986710930288177,\n",
              "  0.008740645702973518,\n",
              "  0.01799701304919196,\n",
              "  0.033159077242766545,\n",
              "  0.05467005757995326,\n",
              "  0.08065693530009395,\n",
              "  0.1064826844243054,\n",
              "  0.12579441393187987,\n",
              "  0.13298076013380652,\n",
              "  0.12579441393187987,\n",
              "  0.1064826844243054,\n",
              "  0.08065693530009395,\n",
              "  0.05467005757995326,\n",
              "  0.033159077242766545,\n",
              "  0.01799701304919196,\n",
              "  0.008740645702973518])"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "Normal(3, 2, 10)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x209b2740d90>]"
            ]
          },
          "execution_count": 7,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "X, Y = Normal(2, 1, 10)\n",
        "plt.plot(X, Y)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "\n",
        "# Normal distribution\n",
        "def Normal(sigma, mu, d, N):\n",
        "  pi = 3.14159265359\n",
        "  exp = 2.71828\n",
        "  X = np.linspace(-d, d, N)\n",
        "  Y = []\n",
        "  for x in X:\n",
        "    argument = -0.5 * ((x - mu)/sigma)**2\n",
        "    Normal = (1/(sigma*(2*pi)**0.5)) * (exp**argument)\n",
        "    Y.append(Normal)\n",
        "  return X, Y"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "X, Y = Normal(2, 0, 10, 1000)\n",
        "plt.plot(X, Y);"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.collections.LineCollection at 0x209b4b29cc0>"
            ]
          },
          "execution_count": 12,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "X, Y = Normal(2, 0, 10, 1000)\n",
        "plt.plot(X, Y, c='b');\n",
        "plt.hlines(0.1, -2.4, 2.4, lw=1, ls='dashed', colors='r')\n",
        "plt.vlines(0, 0, 0.2, lw=1, ls='dashdot', colors='r')\n",
        "plt.vlines(-2., 0, 0.125, lw=1, ls='dashdot', colors='green')\n",
        "plt.vlines(2., 0, 0.125, lw=1, ls='dashdot', colors='green')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "https://www.learnbyexample.org/python/\n",
        "\n",
        "https://www.w3schools.com/python/"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "$V(k)=\\frac{2k}{1+k^2}$\n",
        "\n",
        "$\\frac{dV}{dk}=\\frac{2.(1+k^2)-2k.(2k)}{(1+k^2)^2}=\\frac{2+2k^2-4k^2}{(1+k^2)^2}=\\frac{2-2k^2}{(1+k^2)^2}$\n",
        "$\\frac{dV}{dk}=0$  implies that $k=1$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "k = np.linspace(0, 30, 500)\n",
        "V = 2*k/(1+k**2)\n",
        "plt.xticks((0,1,5, 10, 20, 30))\n",
        "plt.plot(k, V, c='darkblue', lw=1.)\n",
        "plt.vlines(1., 0, 1., ls='--', colors='r', lw=0.75);"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {},
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "C:\\Users\\LENOVO IDEAPAD 5\\AppData\\Local\\Temp\\ipykernel_6400\\3859180728.py:8: RuntimeWarning: divide by zero encountered in divide\n",
            "  gamma = 1/alpha\n"
          ]
        },
        {
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 1574.8x787.402 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "cm =1/2.54\n",
        "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(20*cm, 10*cm), dpi=200)\n",
        "\n",
        "beta = np.linspace(0, 1., 1000)\n",
        "alpha = np.sqrt(1-np.square(beta))\n",
        "gamma = 1/alpha\n",
        "\n",
        "ax1.plot(beta, alpha, lw='1.', c='darkblue')\n",
        "ax1.grid(True, ls='--')\n",
        "ax1.set_xlabel(r'$\\beta=\\frac{v}{c}$')\n",
        "ax1.set_ylabel(r'$\\alpha=\\sqrt{1-\\frac{v^2}{c^2}}$')\n",
        "ax2.plot(beta, gamma, lw='1.', c='red')\n",
        "ax2.grid(True, ls='--')\n",
        "ax2.set_xlabel(r'$\\beta=\\frac{v}{c}$')\n",
        "ax2.yaxis.tick_right()\n",
        "ax2.set_ylabel(r'$\\gamma=\\frac{1}{\\sqrt{1-\\frac{v^2}{c^2}}}$');"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "C:\\Users\\LENOVO IDEAPAD 5\\AppData\\Local\\Temp\\ipykernel_9152\\545157602.py:8: RuntimeWarning: divide by zero encountered in divide\n",
            "  gamma = 1/alpha\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1574.8x787.402 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "cm =1/2.54\n",
        "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(20*cm, 10*cm), dpi=200)\n",
        "\n",
        "beta = np.linspace(0, 1., 1000)\n",
        "alpha = np.sqrt(1-np.square(beta))\n",
        "gamma = 1/alpha\n",
        "\n",
        "ax1.plot(beta, alpha, lw='1.', c='w', alpha=0.99)\n",
        "ax1.grid(True, ls='--')\n",
        "ax1.set_xticks([0,.1,.2,.3,.4,.5,.6,.7,.8,.9,1.])\n",
        "ax1.set_yticks([0,.1,.2,.3,.4,.5,.6,.7,.8,.9,1.])\n",
        "ax1.set_xlabel(r'$\\beta=\\frac{v}{c}$')\n",
        "ax1.set_ylabel(r'$\\alpha=\\sqrt{1-\\frac{v^2}{c^2}}$')\n",
        "ax2.plot(beta, gamma, lw='1.', c='w', alpha=0.99)\n",
        "ax2.grid(True, ls='--')\n",
        "ax2.set_xticks([0,.1,.2,.3,.4,.5,.6,.7,.8,.9,1.])\n",
        "ax2.set_yticks([0,1,2,3,4,5,6,7,8,9,10,12,14,16,18,20,22])\n",
        "ax2.set_xlabel(r'$\\beta=\\frac{v}{c}$')\n",
        "ax2.yaxis.tick_right()\n",
        "ax2.set_ylabel(r'$\\gamma=\\frac{1}{\\sqrt{1-\\frac{v^2}{c^2}}}$');"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
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