SMA,_CMA,_EMA,_EWMA.ipynb

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        "!pip install --upgrade pandas\n",
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            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
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            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Requirement already satisfied: pandas-datareader in /usr/local/lib/python3.7/dist-packages (0.9.0)\n",
            "Collecting pandas-datareader\n",
            "  Downloading pandas_datareader-0.10.0-py3-none-any.whl (109 kB)\n",
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            "Installing collected packages: pandas-datareader\n",
            "  Attempting uninstall: pandas-datareader\n",
            "    Found existing installation: pandas-datareader 0.9.0\n",
            "    Uninstalling pandas-datareader-0.9.0:\n",
            "      Successfully uninstalled pandas-datareader-0.9.0\n",
            "Successfully installed pandas-datareader-0.10.0\n"
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      "source": [
        "import pandas_datareader as pdr\n",
        "import pandas as pd\n",
        "from datetime import datetime"
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      "source": [
        "df_tesla = pdr.get_data_yahoo('TSLA')\n",
        "df_tesla.head()"
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              "                 High        Low       Open      Close      Volume  Adj Close\n",
              "Date                                                                         \n",
              "2017-08-18  70.800003  69.160004  70.582001  69.491997  27041000.0  69.491997\n",
              "2017-08-21  69.164001  66.370003  69.164001  67.571999  32477000.0  67.571999\n",
              "2017-08-22  68.447998  67.473999  68.225998  68.269997  21610000.0  68.269997\n",
              "2017-08-23  70.697998  67.660004  67.797997  70.554001  24772500.0  70.554001\n",
              "2017-08-24  71.332001  69.947998  70.503998  70.585999  22923500.0  70.585999"
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              "      <th>2017-08-18</th>\n",
              "      <td>70.800003</td>\n",
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    },
    {
      "cell_type": "markdown",
      "source": [
        "## **Simple Moving Average**"
      ],
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        "id": "qnAVN6WmRJee"
      }
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        "df_tesla['Open'].plot(figsize=(15,6))"
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          "height": 384
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        "id": "L3aXdlttHs-v",
        "outputId": "ac0c9782-fe52-4dad-d875-fd6600442727"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fca256a1d10>"
            ]
          },
          "metadata": {},
          "execution_count": 5
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x432 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df_tesla['Open: 10 days rolling'] = df_tesla['Open'].rolling(window=10, min_periods=1).mean()\n",
        "df_tesla.head(20)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 708
        },
        "id": "FIzhmf-NOKmy",
        "outputId": "ede797c3-5c7a-446b-b672-07c10df7fdea"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "                 High        Low       Open      Close      Volume  Adj Close  \\\n",
              "Date                                                                            \n",
              "2017-08-18  70.800003  69.160004  70.582001  69.491997  27041000.0  69.491997   \n",
              "2017-08-21  69.164001  66.370003  69.164001  67.571999  32477000.0  67.571999   \n",
              "2017-08-22  68.447998  67.473999  68.225998  68.269997  21610000.0  68.269997   \n",
              "2017-08-23  70.697998  67.660004  67.797997  70.554001  24772500.0  70.554001   \n",
              "2017-08-24  71.332001  69.947998  70.503998  70.585999  22923500.0  70.585999   \n",
              "2017-08-25  71.138000  69.459999  70.848000  69.610001  17420000.0  69.610001   \n",
              "2017-08-28  69.470001  67.944000  69.456001  69.132004  18820000.0  69.132004   \n",
              "2017-08-29  69.809998  67.750000  67.896004  69.472000  20368500.0  69.472000   \n",
              "2017-08-30  70.694000  69.400002  69.933998  70.636002  17064500.0  70.636002   \n",
              "2017-08-31  71.688004  70.564003  70.709999  71.180000  20364000.0  71.180000   \n",
              "2017-09-01  71.517998  70.737999  71.223999  71.080002  15247500.0  71.080002   \n",
              "2017-09-05  71.098000  69.178001  70.760002  69.917999  19175500.0  69.917999   \n",
              "2017-09-06  70.195999  68.311996  69.900002  68.905998  20457000.0  68.905998   \n",
              "2017-09-07  70.496002  68.690002  69.195999  70.122002  21196000.0  70.122002   \n",
              "2017-09-08  69.956001  68.459999  69.797997  68.680000  16317500.0  68.680000   \n",
              "2017-09-11  72.741997  70.000000  70.269997  72.737999  38335500.0  72.737999   \n",
              "2017-09-12  73.751999  72.080002  72.898003  72.550003  29864500.0  72.550003   \n",
              "2017-09-13  73.613998  71.917999  72.764000  73.246002  20926000.0  73.246002   \n",
              "2017-09-14  75.592003  72.526001  72.865997  75.528000  36012500.0  75.528000   \n",
              "2017-09-15  76.000000  74.540001  74.902000  75.961998  27102500.0  75.961998   \n",
              "\n",
              "            Ope: 30 days rolling  Open: 30 days rolling  Open: 10 days rolling  \n",
              "Date                                                                            \n",
              "2017-08-18             70.582001              70.582001              70.582001  \n",
              "2017-08-21             69.873001              69.873001              69.873001  \n",
              "2017-08-22             69.324000              69.324000              69.324000  \n",
              "2017-08-23             68.942499              68.942499              68.942499  \n",
              "2017-08-24             69.254799              69.254799              69.254799  \n",
              "2017-08-25             69.520332              69.520332              69.520332  \n",
              "2017-08-28             69.511142              69.511142              69.511142  \n",
              "2017-08-29             69.309250              69.309250              69.309250  \n",
              "2017-08-30             69.378666              69.378666              69.378666  \n",
              "2017-08-31             69.511800              69.511800              69.511800  \n",
              "2017-09-01             69.575999              69.575999              69.575999  \n",
              "2017-09-05             69.735600              69.735600              69.735600  \n",
              "2017-09-06             69.903000              69.903000              69.903000  \n",
              "2017-09-07             70.042800              70.042800              70.042800  \n",
              "2017-09-08             69.972200              69.972200              69.972200  \n",
              "2017-09-11             69.914400              69.914400              69.914400  \n",
              "2017-09-12             70.258600              70.258600              70.258600  \n",
              "2017-09-13             70.745399              70.745399              70.745399  \n",
              "2017-09-14             71.038599              71.038599              71.038599  \n",
              "2017-09-15             71.457800              71.457800              71.457800  "
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-0c930d11-16e8-4021-9221-13720249b3ab\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>High</th>\n",
              "      <th>Low</th>\n",
              "      <th>Open</th>\n",
              "      <th>Close</th>\n",
              "      <th>Volume</th>\n",
              "      <th>Adj Close</th>\n",
              "      <th>Ope: 30 days rolling</th>\n",
              "      <th>Open: 30 days rolling</th>\n",
              "      <th>Open: 10 days rolling</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Date</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2017-08-18</th>\n",
              "      <td>70.800003</td>\n",
              "      <td>69.160004</td>\n",
              "      <td>70.582001</td>\n",
              "      <td>69.491997</td>\n",
              "      <td>27041000.0</td>\n",
              "      <td>69.491997</td>\n",
              "      <td>70.582001</td>\n",
              "      <td>70.582001</td>\n",
              "      <td>70.582001</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-08-21</th>\n",
              "      <td>69.164001</td>\n",
              "      <td>66.370003</td>\n",
              "      <td>69.164001</td>\n",
              "      <td>67.571999</td>\n",
              "      <td>32477000.0</td>\n",
              "      <td>67.571999</td>\n",
              "      <td>69.873001</td>\n",
              "      <td>69.873001</td>\n",
              "      <td>69.873001</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-08-22</th>\n",
              "      <td>68.447998</td>\n",
              "      <td>67.473999</td>\n",
              "      <td>68.225998</td>\n",
              "      <td>68.269997</td>\n",
              "      <td>21610000.0</td>\n",
              "      <td>68.269997</td>\n",
              "      <td>69.324000</td>\n",
              "      <td>69.324000</td>\n",
              "      <td>69.324000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-08-23</th>\n",
              "      <td>70.697998</td>\n",
              "      <td>67.660004</td>\n",
              "      <td>67.797997</td>\n",
              "      <td>70.554001</td>\n",
              "      <td>24772500.0</td>\n",
              "      <td>70.554001</td>\n",
              "      <td>68.942499</td>\n",
              "      <td>68.942499</td>\n",
              "      <td>68.942499</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-08-24</th>\n",
              "      <td>71.332001</td>\n",
              "      <td>69.947998</td>\n",
              "      <td>70.503998</td>\n",
              "      <td>70.585999</td>\n",
              "      <td>22923500.0</td>\n",
              "      <td>70.585999</td>\n",
              "      <td>69.254799</td>\n",
              "      <td>69.254799</td>\n",
              "      <td>69.254799</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-08-25</th>\n",
              "      <td>71.138000</td>\n",
              "      <td>69.459999</td>\n",
              "      <td>70.848000</td>\n",
              "      <td>69.610001</td>\n",
              "      <td>17420000.0</td>\n",
              "      <td>69.610001</td>\n",
              "      <td>69.520332</td>\n",
              "      <td>69.520332</td>\n",
              "      <td>69.520332</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-08-28</th>\n",
              "      <td>69.470001</td>\n",
              "      <td>67.944000</td>\n",
              "      <td>69.456001</td>\n",
              "      <td>69.132004</td>\n",
              "      <td>18820000.0</td>\n",
              "      <td>69.132004</td>\n",
              "      <td>69.511142</td>\n",
              "      <td>69.511142</td>\n",
              "      <td>69.511142</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-08-29</th>\n",
              "      <td>69.809998</td>\n",
              "      <td>67.750000</td>\n",
              "      <td>67.896004</td>\n",
              "      <td>69.472000</td>\n",
              "      <td>20368500.0</td>\n",
              "      <td>69.472000</td>\n",
              "      <td>69.309250</td>\n",
              "      <td>69.309250</td>\n",
              "      <td>69.309250</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-08-30</th>\n",
              "      <td>70.694000</td>\n",
              "      <td>69.400002</td>\n",
              "      <td>69.933998</td>\n",
              "      <td>70.636002</td>\n",
              "      <td>17064500.0</td>\n",
              "      <td>70.636002</td>\n",
              "      <td>69.378666</td>\n",
              "      <td>69.378666</td>\n",
              "      <td>69.378666</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-08-31</th>\n",
              "      <td>71.688004</td>\n",
              "      <td>70.564003</td>\n",
              "      <td>70.709999</td>\n",
              "      <td>71.180000</td>\n",
              "      <td>20364000.0</td>\n",
              "      <td>71.180000</td>\n",
              "      <td>69.511800</td>\n",
              "      <td>69.511800</td>\n",
              "      <td>69.511800</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-09-01</th>\n",
              "      <td>71.517998</td>\n",
              "      <td>70.737999</td>\n",
              "      <td>71.223999</td>\n",
              "      <td>71.080002</td>\n",
              "      <td>15247500.0</td>\n",
              "      <td>71.080002</td>\n",
              "      <td>69.575999</td>\n",
              "      <td>69.575999</td>\n",
              "      <td>69.575999</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-09-05</th>\n",
              "      <td>71.098000</td>\n",
              "      <td>69.178001</td>\n",
              "      <td>70.760002</td>\n",
              "      <td>69.917999</td>\n",
              "      <td>19175500.0</td>\n",
              "      <td>69.917999</td>\n",
              "      <td>69.735600</td>\n",
              "      <td>69.735600</td>\n",
              "      <td>69.735600</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-09-06</th>\n",
              "      <td>70.195999</td>\n",
              "      <td>68.311996</td>\n",
              "      <td>69.900002</td>\n",
              "      <td>68.905998</td>\n",
              "      <td>20457000.0</td>\n",
              "      <td>68.905998</td>\n",
              "      <td>69.903000</td>\n",
              "      <td>69.903000</td>\n",
              "      <td>69.903000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-09-07</th>\n",
              "      <td>70.496002</td>\n",
              "      <td>68.690002</td>\n",
              "      <td>69.195999</td>\n",
              "      <td>70.122002</td>\n",
              "      <td>21196000.0</td>\n",
              "      <td>70.122002</td>\n",
              "      <td>70.042800</td>\n",
              "      <td>70.042800</td>\n",
              "      <td>70.042800</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-09-08</th>\n",
              "      <td>69.956001</td>\n",
              "      <td>68.459999</td>\n",
              "      <td>69.797997</td>\n",
              "      <td>68.680000</td>\n",
              "      <td>16317500.0</td>\n",
              "      <td>68.680000</td>\n",
              "      <td>69.972200</td>\n",
              "      <td>69.972200</td>\n",
              "      <td>69.972200</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-09-11</th>\n",
              "      <td>72.741997</td>\n",
              "      <td>70.000000</td>\n",
              "      <td>70.269997</td>\n",
              "      <td>72.737999</td>\n",
              "      <td>38335500.0</td>\n",
              "      <td>72.737999</td>\n",
              "      <td>69.914400</td>\n",
              "      <td>69.914400</td>\n",
              "      <td>69.914400</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-09-12</th>\n",
              "      <td>73.751999</td>\n",
              "      <td>72.080002</td>\n",
              "      <td>72.898003</td>\n",
              "      <td>72.550003</td>\n",
              "      <td>29864500.0</td>\n",
              "      <td>72.550003</td>\n",
              "      <td>70.258600</td>\n",
              "      <td>70.258600</td>\n",
              "      <td>70.258600</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-09-13</th>\n",
              "      <td>73.613998</td>\n",
              "      <td>71.917999</td>\n",
              "      <td>72.764000</td>\n",
              "      <td>73.246002</td>\n",
              "      <td>20926000.0</td>\n",
              "      <td>73.246002</td>\n",
              "      <td>70.745399</td>\n",
              "      <td>70.745399</td>\n",
              "      <td>70.745399</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-09-14</th>\n",
              "      <td>75.592003</td>\n",
              "      <td>72.526001</td>\n",
              "      <td>72.865997</td>\n",
              "      <td>75.528000</td>\n",
              "      <td>36012500.0</td>\n",
              "      <td>75.528000</td>\n",
              "      <td>71.038599</td>\n",
              "      <td>71.038599</td>\n",
              "      <td>71.038599</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2017-09-15</th>\n",
              "      <td>76.000000</td>\n",
              "      <td>74.540001</td>\n",
              "      <td>74.902000</td>\n",
              "      <td>75.961998</td>\n",
              "      <td>27102500.0</td>\n",
              "      <td>75.961998</td>\n",
              "      <td>71.457800</td>\n",
              "      <td>71.457800</td>\n",
              "      <td>71.457800</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-0c930d11-16e8-4021-9221-13720249b3ab')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
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              "    .colab-df-convert {\n",
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              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
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              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
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              "  "
            ]
          },
          "metadata": {},
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df_tesla[['Open', 'Open: 10 days rolling']].plot(xlim = ['2021-01-01', '2022-01-01'], figsize=(15,6))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "id": "xgYyX1c9OtZm",
        "outputId": "f0df6fe8-4594-4cea-8cf0-22c4c812e474"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fca24f1ae10>"
            ]
          },
          "metadata": {},
          "execution_count": 11
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x432 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "- We get a smoother curve"
      ],
      "metadata": {
        "id": "YSV-l7d3Pe3y"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df_tesla['Open: 30 days rolling'] = df_tesla['Open'].rolling(window=30, min_periods=1).mean()\n",
        "df_tesla['Open: 50 days rolling'] = df_tesla['Open'].rolling(window=50, min_periods=1).mean()"
      ],
      "metadata": {
        "id": "YT8LU2JLPZUX"
      },
      "execution_count": 12,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "df_tesla[['Open', 'Open: 10 days rolling', 'Open: 30 days rolling', 'Open: 50 days rolling']].plot(xlim = ['2021-01-01', '2022-01-01'], figsize=(15,6))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "id": "IW4DXW1OQRzV",
        "outputId": "a14c6421-8f7d-4e93-aff1-c30db74c9ee9"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fca24e76550>"
            ]
          },
          "metadata": {},
          "execution_count": 13
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x432 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## Similar importance to all te data points\n",
        "## In timeseries data we need to give more weight to recent data"
      ],
      "metadata": {
        "id": "fg5fCyAAQYS_"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## **Cummulative Moving Average**"
      ],
      "metadata": {
        "id": "m6wMT-85RFeI"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df_tesla['Open'].expanding().mean().plot(figsize=(10,6))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 384
        },
        "id": "5X78TF_VRS_t",
        "outputId": "0cae5158-90fb-4fb8-bd07-f7b0692f6004"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fca24db55d0>"
            ]
          },
          "metadata": {},
          "execution_count": 14
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ],
            "image/png": 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Lior25VQREZGU9OLcDdREotx70TgKspsyW0cSTZOClZllEgtVf3X35wDcfbO7R9w9CtzPJ8N964H6/Zd9g20iIiLyOV6ct5GD+hYyoGt+2KVIMzXlqkADHgQWuftv623vVe+wM4H5weupwLlmlm1mg4AhwPvxK1lERCT1zFm7g4/W7+TUUb0aP1gSVlP6GQ8HLgI+MrM5wbYbgfPMbAzgwCrg2wDuvsDMpgALiV1ReJWuCBQREdm77RU1XPzgDHoX5vAVza1Kao0GK3d/F2hoHf2XP+ec24DbWlCXiIhIu/Hch+sprarj8W9NoqhDdtjlSAto5XUREZEQuTtPvr+GMf06MbJPYdjlSAspWImIiITE3bn5+fksKy7n/An9wy5H4kDBSkREJCRvLS3hselr+PphAzlrnOZWpQIFKxERkRBEos6dry2jT6dcbjzlQNLTGprOLMlGwUpERKSN1UWinHffdOau3cG1xw8hK0O/jlOFWlJERKSNPTVzLe+v2satZ4zkqxoCTCkKViIiIm1o+oqt/PZfSzlkYGcunNif2DrckioUrERERNrIuu2VXPLQ++RnZ/DzM0YpVKUg3eFRRESkDUSjzm0vLcIMnrx8Er075YZdkrQCBSsREZFW5u5c+vAHvLW0hOtOGKpQlcIUrERERFrZ1LkbeGtpCT88eRjf/sLgsMuRVqQ5ViIiIq3ozcXF/OyFhYzs05HLjxyseVUpTsFKRESklazbXsn/++tsuhVkc+c5Y0jTIqApT0OBIiIirWBreTU/fPYjAB669BD6aF5Vu6BgJSIiEme1kSjn3z+D5SXl/PTLIxSq2hEFKxERkTj7y7SVLNlcxr0XjePEET3DLkfakIKViIhIHP3fK4v5078/5thh3fni8B5hlyNtTJPXRURE4mTa8i3c89bHnDm2D3eff7CuAGyH1GMlIiISBz97YSEPTVtJz4453PLlEeRmpYddkoRAwUpERKSFZq/ZzkPTVnL2uL7c/KXhdMzJDLskCYmClYiISAu8ubiY65+eS4+O2fzkyyMoyNav1vZMc6xERESaaWt5NddNmUP3Dtk88o2JClWiHisREZHmWFFSzvVPz6W8uo6nzhvL0B4dwi5JEoCClYiIyD6qrotwxWOz2Fxazf999SCFKtlDwUpERGQfbK+o4aa/z2fp5nL+8vVDOGZY97BLkgSiYCUiIrIPbnhmHm8tLea6E4YqVMlnKFiJiIg0gbvz9Mx1vLZoMz86eRjfPmq/sEuSBKRgJSIi0gQPvLOS215exOh+nfjGEYPCLkcSlJZbEBERacT6Hbv47atLOW5Yd5654lAy0/XrUxqmrwwREZHPMXvNdk676x0c55Yvj1Coks+lrw4REZG9qKyp43tPzSE/O4NnrzyMfl3ywi5JEpyClYiISAOWF5dz6l3vsnprJXecPZoRvQvDLkmSgIKViIjIp9RFolw3ZQ47Kmt46OvjmTi4a9glSZJQsBIREalnc2kVX/3zf5i3bic/P2MUxw7rEXZJkkQUrERERALuzo3PfcTiTaX831kHcepBvcIuSZKMgpWIiAiwqybCDc/M4/XFxXz/iwdwziH9wi5JkpCClYiItHvRqHP7PxbxzKx1XP6FwVx6uBYAleZpNFiZWT8ze9PMFprZAjP7brC9i5m9ambLgufOwXYzs7vMbLmZzTOzg1v7kxAREWmu4tIqTrjzLSb/ZzWXHDqAG085kPQ0C7ssSVJN6bGqA6539+HAJOAqMxsO/BB43d2HAK8HHwOcDAwJHpcD98S9ahERkTi59aVFrN2+izu/NpqbTxsedjmS5BoNVu6+0d1nB6/LgEVAH+B0YHJw2GTgjOD16cAjHjMd6GRmmv0nIiIJpS4S5UfPfcQLczdw1dH7c+bYvmRoVXVpoX36CjKzgcBYYAbQw903Brs2AbuvR+0DrK132rpg26ff63Izm2lmM0tKSvaxbBERkZa5/52VPPH+Gr5+2ECuPHq/sMuRFNHkYGVmBcCzwLXuXlp/n7s74PvyD7v7fe4+3t3HFxUV7cupIiIizebuPDxtJb97bSknjejJLV8eQVaGeqokPpr0lWRmmcRC1V/d/blg8+bdQ3zBc3GwfT1Q/xrVvsE2ERGR0D07ez23vLCQcQM6c+sZI8MuR1JMU64KNOBBYJG7/7berqnAJcHrS4Dn622/OLg6cBKws96QoYiISGgenraS/31+PhMHdeHRyyZS1CE77JIkxWQ04ZjDgYuAj8xsTrDtRuB2YIqZXQasBs4J9r0MnAIsByqBS+NasYiISDO8MHcDt7ywkMP268pvzxmjJRWkVTQarNz9XWBvX33HNXC8A1e1sC4REZG4efQ/q/i/V5Ywtn8nHvnGBF39J61GX1kiIpKy3J1nZ63j5ucXMLx3R/5w3liFKmlVTRkKFBERSTo1dVEueGA6H6zazui+hTx62URd/SetTsFKRERSjrvzu9eW8sGq7dx06oFcMHGAQpW0CQUrERFJKXWRKJdNnslbS0s46+C+fPPIwWGXJO2IgpWIiKSMmroot/9jMW8tLeGHJw/jG4cPCrskaWcUrEREJCXURqKcd/90Zq3eznkT+nPFUbpNjbQ9BSsREUl60ahzx7+WMmv1dn75lVGce0i/xk8SaQUKViIikvS+N2UOz8/ZwFkH9+W8Cf3DLkfaMQUrERFJatOWb+H5ORu44qj9+MGJB4RdjrRzuvZURESS1vQVW7luyhz6ds7l2uOHkKbb1EjIFKxERCQpVdbU8d0nPyQ3M50/XziOnMz0sEsS0VCgiIgkH3fn7jeXs7m0mmeuOJSRfQrDLkkEUI+ViIgkoTtfXcrdb37Ml0f3ZvzALmGXI7KHgpWIiCSVjTt38ee3V/Cl0b2582tjwi5H5L8oWImISNIorarlpr/Nx935wYkHkK7J6pJgFKxERCRp/Phv8/n30hL+56Rh9OuSF3Y5Ip+hYCUiIklh2eYyXpy3gcu/MFg3VpaEpWAlIiIJb/XWCr7z5BxyM9P5lkKVJDAFKxERSWjuzg+emcf67ZX8/tyxdMnPCrskkb1SsBIRkYT2/JwNzFi5jRtOPIAThvcIuxyRz6UFQkVEJGHd+LePeHzGGob17MC5urmyJAEFKxERSUivL9rM4zPWcOGk/tx06nAy0zXIIolPX6UiIpJwnpu9jssmz2RQt3x+fMpw3QdQkoaClYiIJJSyqlp+8fIixvbvxIvXHEFulkKVJA8FKxERSRhbyqv5xsMfsKW8hlu+NIL8bM1YkeSiYCUiIgnj168sYe7andxx9mhG9+sUdjki+0zBSkREEsL89Tt5etZaLjp0AGeN6xt2OSLNomAlIiKh+3DNdr5yz3t0yc/iqmP2D7sckWbT4LWIiITK3fnFy4vomJPJy985QiurS1JTj5WIiISmLhLl9n8s5oNV27n2+CF075gTdkkiLaJgJSIioXls+mrufXsFZ47tw9cO6Rd2OSItpqFAEREJRUV1HX98czkTB3Xht+eMxszCLkmkxdRjJSIibW5HZQ1n3D2NrRU1/OCkYQpVkjIUrEREpM3d/84KlpeU88DF4xk3oHPY5YjEjYKViIi0qeLSKia/t5pTRvbiuAN7hF2OSFwpWImISJvZUVnD6XdPozYS5bvHDwm7HJG40+R1ERFpM099sJaNO6t45opDGdqjQ9jliMRdoz1WZvaQmRWb2fx6224xs/VmNid4nFJv34/MbLmZLTGzE1urcBERSS7vr9zGA++uZOKgLowf2CXsckRaRVOGAh8GTmpg+53uPiZ4vAxgZsOBc4ERwTl/MrP0eBUrIiLJad32Si54YDrZGWncdOrwsMsRaTWNBit3fxvY1sT3Ox140t2r3X0lsByY0IL6REQkBUyZuY66qPPk5ZMY1bcw7HJEWk1LJq9fbWbzgqHC3dfK9gHW1jtmXbDtM8zscjObaWYzS0pKWlCGiIgksrpIlKdnruULQ4ro2zkv7HJEWlVzg9U9wH7AGGAjcMe+voG73+fu4919fFFRUTPLEBGRRObuXDdlLht3VnHBxP5hlyPS6poVrNx9s7tH3D0K3M8nw33rgfo3e+obbBMRkXZo3rqdTJ27gauP2Z8vjugZdjkira5ZwcrMetX78Exg9xWDU4FzzSzbzAYBQ4D3W1aiiIgkq2dnryMrI41vfWFw2KWItIlG17EysyeAo4FuZrYO+AlwtJmNARxYBXwbwN0XmNkUYCFQB1zl7pHWKV1ERBLZjsoanp+zgRNH9KQwNzPsckTaRKPByt3Pa2Dzg59z/G3AbS0pSkREklsk6px733R21UT4+mEDwy5HpM1o5XUREYm7/3y8lcWbyrjj7NG6ybK0K7pXoIiIxN1zs9fRISeDUw/q1fjBIilEwUpEROJq0cZS/jF/E6cd1IucTN18Q9oXBSsREYmb2kiUr//lfQpzM7niqP3CLkekzWmOlYiIxM07y0rYXFrNfReNY0DX/LDLEWlz6rESEZG42LSzirteX06X/CyOPqB72OWIhEI9ViIi0mLuzoUPzmDd9kpu/8pBZGXo73ZpnxSsRESkxWat3s7y4nJ+/dWDOGNsn7DLEQmN/qQQEZEWe3b2enIz0zlllJZXkPZNwUpERFpk5qptPD9nPSeN7El+tgZCpH1TsBIRkWaLRJ3vPjmHHh1z+MFJB4RdjkjoFKxERKTZ3lpazPodu/jBiQfQqzA37HJEQqdgJSIizVJVG+Ghd1fRrSCb44f3CLsckYSgwXAREdlnVbURTvvDuywvLudHJw8jM11/p4uAgpWIiDTD0zPXsry4nLvPP1g3WhapR8FKRET2yQPvrODOV5cytn8nThnVM+xyRBKK+m5FRKTJ5q3bwc9fWsS4gV2469yxmFnYJYkkFPVYiYhIk2wpr+YnUxdQmJvJ3eePpUNOZtgliSQcBSsREWmS7z01hwUbSvn1Vw9SqBLZCw0FiohIo2av2c47y7Zw/QlDOX2M7gUosjcKViIi8rlWlJTzw2fn0TkvkwsnDQi7HJGEpqFAERHZK3fn+0/Ppbismt99bYzuBSjSCPVYiYjIXv17aQmz1+zghhMP4OgDuoddjkjCU7ASEZEGvbOshO88/iH9uuRy9rh+YZcjkhQUrERE5DNq6qL8+G/z6d4xm79eNomsDP26EGkKfaeIiMh/iUadP7yxjDXbKrn5tOH075oXdkkiSUOzEEVEZA9359qn5jB17gZOGdWTo4YWhV2SSFJRsBIREQAiUee+t1cwde4Grj1+CN89bohuWSOyjxSsREQEgF+9spj73l7BkUO6cc2xClUizaFgJSLSzkWizrOz1nH/Oys4b0I/fnHmKIUqkWZSsBIRaed+9sICJv9nNSN6d+SmU4crVIm0gIKViEg7VVpVyy9eWsSTH6zlG4cP4qZTDyQtTaFKpCUUrERE2qFo1LnuqTm8uaSESw4dwI2nDFOoEokDBSsRkXZm7bZKrnniQ+as3cFPvjScSw8fFHZJIilDwUpEpB3ZuauWbz86i7XbK7n1jJFcOLF/2CWJpBQFKxGRdmLeuh1ccP8MymvqePCS8Rw7rEfYJYmknEZvaWNmD5lZsZnNr7eti5m9ambLgufOwXYzs7vMbLmZzTOzg1uzeBERaZo1Wyu56vHZdMzN5MVrjlCoEmklTblX4MPASZ/a9kPgdXcfArwefAxwMjAkeFwO3BOfMkVEpLnmrN3B8b99i+LSau46bywjeheGXZJIymo0WLn728C2T20+HZgcvJ4MnFFv+yMeMx3oZGa94lWsiIjsmw07dnHdU3PoVpDFv284mnEDOoddkkhKa+4cqx7uvjF4vQnY3afcB1hb77h1wbaNiIhIm1q4oZSz7nmPumiUyd+YQK/C3LBLEkl5LZ687u5uZr6v55nZ5cSGC+nfX1eliIjE0/LiMq55YjYdcjJ49srD6NclL+ySRNqFpsyxasjm3UN8wXNxsH090K/ecX2DbZ/h7ve5+3h3H19UVNTMMkRE5NPmr9/JKb9/lw07qvjduWMUqkTaUHOD1VTgkuD1JcDz9bZfHFwdOAnYWW/IUEREWtnctTu4+vHZdMnP4q0bjuaw/bqFXZJIu9LoUKCZPQEcDXQzs3XAT4DbgZZgNnAAABSdSURBVClmdhmwGjgnOPxl4BRgOVAJXNoKNYuISANmrd7G1+6dTkFOBvdfPJ7uHXPCLkmk3Wk0WLn7eXvZdVwDxzpwVUuLEhGRffPPBZv48d/m06dzLs9fdTid8rLCLkmkXWruUKCIiCSIWau3ceVjs+iSn8n9F49XqBIJkW5pIyKSxP61YBM/fWEhvTvl8uyVh9EhJzPskkTaNfVYiYgkofLqOv46YzXffmwW2Rlp/PH8gxWqRBKAeqxERJJMRXUdp931Dqu2VjK6byFPXD6JvCz9OBdJBPpOFBFJIpGo88t/LGLV1kr+cN5YTh7Zk4x0DT6IJAoFKxGRJBGNOt94+APeWlrCxYcO4Euje4ddkoh8ioKViEgScHfufXsFby0t4cenHMhlRwwKuyQRaYCClYhIgnN3vvvkHKbO3cDxB3bnm0cOwszCLktEGqBgJSKSwMqr6/jDG8uYOncDVx+zP9cct79ClUgCU7ASEUlQxaVVnHf/dD4uqeD0Mb25/otDFapEEpyClYhIgnF37nxtGfe+9THpacYj35jAkUO6KVSJJAEFKxGRBDJ//U7u+NcS3lxSwqkH9eKaY/dnWM+OYZclIk2kYCUikgBqI1H+uWATP3z2I7Iy0rj+hKFcfazmU4kkGwUrEZGQ1UaifPvRWbyxuJjBRfn89ZsT6VWYG3ZZItIMClYiIiF67+Mt3PT3+awoqeDm04Zz0aQBZGVoJXWRZKVgJSISgtpIlGdnreOWFxbQuzCXP5w3Viupi6QABSsRkTa2ubSKG56Zx9tLSxjVp5C/XHoI3Qqywy5LROJAwUpEpA3snpz+5PtreXf5FtIMfvmVUZx7SD9NUBdJIQpWIiKtqKSsmr9MW8mL8zayZlslnfIy+d7xQzlxZA8toyCSghSsRETiLBp1Zq/Zzn1vr+C9j7eyqzbCxEFduPm04Rw7rDvpaeqhEklV7SZYVdVGyMlM3+t+d+eljzYyfcVWOuVmMbJPR7oWZNMxJ5OOuRnkZ2eQlZ5GVnoaafqhKCKf4u7MX1/KG4uL+euM1RSXVdOtIIuTRvbkyqP3Y7+igrBLFJE20C6C1fLics67fzo3nXogp4/pA8SCVuwR5bVFm7n37Y9Zu20X+VnpVNVFiUR9r+/XKS+TSYO6cuTQbpx1cN/PDWwikrq2V9QwY+VWnpu9ng/X7qCkrBqAI/bvxg9OGsaJI3rQIScz5CpFpC2Z+94DRFsZP368z5w5s9Xev7i0iqsf/5D3V20DoFtBFtsqaqifnQ4Z2JnzJvTnjDF9qIlEWbKpjNKqWkp31VFaVUtFdR01kSg1dVHWbd/Ffz7eyvodu8jLSueYA7pz9vi+jBvQWT9ERVJcSVk1L83bwLvLt/LW0mJqI063gmyOGlrE+IGdOWF4D13hJ5LizGyWu49vcF97CFYQ66E64+5pVNTUsX9RAfsVFdCncy7ZGen07Zy7zzc4dXemr9jGi/M2MHXuBsqq6kgzGNQtnyHdOzC4KJ9B3fLZr3sBI3p3JDtDvVoiycg9Nl/qveVbmTp3A8uKywEY2DWPY4Z155RRvRjdt5MW9RRpRxSsAtV1ETLS0uI+cbSypo7Zq3fw/qptLN5YyvKSctZsraQu6BLLzkijMDeTjDQjLc1ITzMy0oweHXPIy8ogOyONrIw0MtONrIw03KGyJkJFdV3suaaOaNTJzUrfc3x68D7pFnvPPe9ttmdfYW4mA7rmMbhbAYOL8snPbhcjvyLNVhuJsnZbJau3VrJ2eyXvLd/KtI+3UFZVB8DovoWcdlBvDtu/KyN6F4ZcrYiE5fOCVbv6TdtavUZ5WRkcMaQbRwzptmfb7h/QSzeXM3vNdsqqaqmNONGoE3GnNhJl484qtlXUUBuJ7hlmrKmLYmbkZ6eTn5VBXlY6BdkZmBlVNRGKy6qoro0S8dh71UU/ec9IFKLu1EVic8QqaiJ76jGDrvlZdMrLokteFn0659Kvcy59u+TRs2MOXQti+7rmZ2nOmKS0TTurWLBhJ/PW7WRbRQ3bKmsoKatm9dYKisuqqf+3Ztf8LE47qDcTBnXm2GE9KMzVUL+IfL521WPV3lTVRlhRUsGabZUs2VTGptIqdlTWsLWihvXbd7Fx5y4amqOfl5VOl/wsuhZk0zU/K3gdC13ZGelU10Uoq6pja0UNldV1mBkGYGAYZmBAmgWvLfY6Pc1IM6MuGqW6Nkp1XZTqughRj/XqZWekk52ZRm5mOp3zMinMy6JjTgYdcjLIz4pdmVmQnUFedixs5mamN2thxbpIlKq6KDt31bKjsoaauigOuMeGfXa/jrrjHqs/VjuYxT6HjDQjIz14DnpBszPSyExPI3N372N6mhZ+TADuzuJNZbw4bwNvL93CR+t37tnXKS+TLnmxr/GB3fLp3SmX/l3yGNg1j/5d8uhWkK2rgEXkMzQUKA2qqYuycecuisuq2VpezY7KWrZW1MT+iq+oYUt59Z7XWytiAWS3NIPOeVl7hhd3hxBoIJxAvV41Jys9LRakMtOD8AE1kU/CVmVNbAi0MWlGrFcvO/2T0JWVjjtU10Wpqo3sed79urqRKz7jLS8rVluH7FgwzM9OpyA7k4J6Ne9+LsjJoGNOBgXZmRTmZtIpL/bY3WMpTefurNhSwXsfb+Xetz5m3fZdpKcZI3t35NSDejGqTyfG9u+k3lkRaRYNBUqDsjLSGNA1nwFd8xs91t0pr66jpi5KdmY6eZnprfqXfFVt5L+uyqysjlBeXRfMO6ujvDo2B62iJratot7+NDM65GRQ1CGbnMx0cjLSyMlMJ7vec3ZmbN5bYW5mbIg46FUzCHrcjLS02LO7Ew1C4u5HXSQWEmujTiQapbbOqY1Gqa2LDevWRjwWEoMay6o+qXPDjl17ai2vrqO6XmBtSFZGGj06ZtOzYw49OubQs2MOPQuD14Wxj7t3zNYFEsSu2Hvy/TW8triYuWt3ADC2fyeuOGo/Th3Vi875WSFXKCKpTsFKmsTM2nQpiZzMdHIy0+neoc3+ydDURqJUVMfCV3nwvHNXLdsra9hZWcuW8mo2lVaxaWcV89fv5LVFm6mq/WwY65yXSY8gfHXJz9ozzNUpL5OOQYjsEPSIFQRDrAVZGUk71FVaVcv67btYtLGURRtLeX/lNhZtKqM2EmVE747cfNpwDhnYmZG9C5P2cxSR5KNgJRKyzPQ0OuXFLh5oCnentKqOzUHY2lRaxebdz6VVFJdVs2JLOdsraimvrvvc9zKDDtkZFOZl0jlv98UNmXTKy9oTxDrmZgZz3WIf734uyI5dodrSYUp333MVbPmneh8raurq9e5F2FJezZqtlXxcUs7GnVV73iMrI41RfQq5aNIALpjYn8Fa5VxEQqJgJZJkzGzPMObQHp/fpVcTTNLf/SivrqO8qo7y6tgwa1nVJ/u2V8Ym86/aUsH2ihrKGgllAJnp9skcsWC+WPqnLlr45NmoqYtQUf1JiNq9nEhTp3p2yc+iT6dcDh3clf26FzCwaz6Di/IZ2qOD7r8nIglBwUokhWVlpFHUIZuiDvu+Engk6pRXxea4lVXFQlhZVR1l1bs//mSeWHkwjBlbcy2YjxaFCFGiwdWWUY8Fsa4FWfTvmkfBnis904OJ/Z+Es93LjXyyLbaGm8KTiCQ6BSsRaVB6mlGYl0lhntZuEhFpKt2DQURERCROFKxERERE4kTBSkRERCROWjTHysxWAWVABKhz9/Fm1gV4ChgIrALOcfftLStTREREJPHFo8fqGHcfU29p9x8Cr7v7EOD14GMRERGRlNcaQ4GnA5OD15OBM1rh3xARERFJOC0NVg78y8xmmdnlwbYe7r4xeL0J6NHCf0NEREQkKbR0Hasj3H29mXUHXjWzxfV3urubWYNrKgdB7HKA/v37t7AMERERkfC1qMfK3dcHz8XA34AJwGYz6wUQPBfv5dz73H28u48vKipqSRkiIiIiCaHZwcrM8s2sw+7XwBeB+cBU4JLgsEuA51tapIiIiEgyaMlQYA/gb8Gd7TOAx939FTP7AJhiZpcBq4FzWl6miIiISOIzb+pt5VuzCLMSYiGsPeoGbAm7CPkMtUviUZskJrVL4lGbtL4B7t7gPKaECFbtmZnNrLcGmCQItUviUZskJrVL4lGbhEu3tBERERGJEwUrERERkThRsArffWEXIA1SuyQetUliUrskHrVJiDTHSkRERCRO1GMlIiIiEicKViIiIiJxomDVBixYRVVERERSm4JV28gNuwD5LDNLD54VfBOE2iRxmZl+XyQQfY8kLn2jtCIzm2RmzwJ3m9kXd//SkHCZ2aFmdj/wPTPr4LqCI3RmdriZTQZuMrMuapPEYGYTzOw7AO4eDbse2dMm9wP/Y2YNrvwt4VKwaiVmdjTwJ+A5YAlwIdA5zJoEzOwo4I/AG0Bv4EYzOzHcqto3MxtM7HvlTWAAcKuZnRpuVWJm1wJ/IxZ2Tw626Y/DkJhZupn9kthSCtOAg4GfmFmPcCuTT1Owaj2jgA/c/a/Ao0AmUB5uSULsh9E0d38CuJXYzcTPNbOe4ZbVrh0CLHL3h4HrgTnAaWbWL9SqZAVwGnAl8CMAd49oCCpU64Bzgu+Va4FJaKpJwlGwipNg2G9ovU3vAGeb2f8Cs4FewJ/M7OxQCmynGmiXpUAnM+vl7tuJhd0s4IxQCmyHzOxLZna1mU0KNn0A9DOzfkGbTAN2AF8Jrch2qIF2eQmYFzyX7x4SBNRr1Ubqtckh7h4BnnD3pWaW7e4biAWtbiGXKZ+iYNVCZtbJzF4CXgXOMbMCAHefA5wEDAT+n7sfTewXxklmdmBI5bYbe2sXYsGqFJgczH/rB3wIFATn6a/xVmJmvczsBeAHxIbF/2JmJ7r7CuA/wDnBoUuAhUAXM8sJp9r243PaJQJE3b0KuAO4zMy6uXtdmPW2Bw20ySNm9kV33wbg7tVm1gEYBGwIsVRpgIJVy+UD/wSuCV4fuXuHu78PFAGrgk1vAB2AirYtsV36dLt8AcDdlwHXAb8Ennb3M4EFwNHBfk2abj3jgXfc/Uh3vxX4PfCtYN87wCgzmxD8Ql8PHB78UpfW9el2+R1wBfzX98O/genEvp8wswkh1NmeNNQmV37qmInAAnffYGYFZjakzauUBilYNYOZXWxmR5lZR3dfT2wy4RSgCphoZr2D47KB94CrglOPA7oGx0mcNdIuE3a3i7vXuPub7v5kcOo44JVwqk5tQZscHXwvvE5svuFuW4FlwesZxHoO7wx6F0cAa8wsr00LbicaaZdtwKLguDSIza0Cfk7sSrSdwMHq3Y2vfWiTzGBbJ2CtmV1KbDh9TFvWK3unYNVEFtPLzN4ELgEuAO4Jusar3L0SeI1Yt+1xEOuuBaYCBWb2NnAecLW7F4fzWaSefWyXYz917hFmNotYL+OLbV17qmqgTc4HHgLy3H1jvV8MvQiulHX3Te7+e2IB6yFiV9H+Kmg/iYNmtks0OG9/4HFi0xmOcPc/q3e35ZrZJrXBttOBG4j1xn/N3Z9u2+plbxSsmsDM0oMfIh2A9e5+HLFu2W3Uu4u4u08jNux3QDDHJ9fdFxD7hvm6ux/n7ova/jNITc1ol2FmVmhm+cGuFcDN7n6iu69q0+JTVBPbZPd6SCcAzwTndQ+2/QC4zN0nuvuStqs8tTWjXZ4Nztu9plgp8L/Bz7CP2rb61NSCNtk9Wf1lYlcIXuru89qucmlMRtgFJDKLrdlyK5BuZi8DHYEI7Lns+LvABjM7yt3fCk67n1iX+atAfzM7OBiWWtH2n0FqikO7DDCzce6+Dk38jIt9bRMzywJKgKVmdhux5RWODq4KLAvp00g5cWqXY4JedvW0x0Gc2uQLwZIxkoDUY7UXFltIchax7tflxL4RaoFjdk/cDFYiviV47HYq8P+IrcUzKghVEidxaJe5xNplXdtVndr2sU1+GpyWA3yd2FySDsDxQaiSOIlju2xr08JTWBzbZGebFi77RD1WexcF7nD3RwHMbCyxS1v/F7gHGBdM7Pw7cKyZDQyGk6qIfeG/HU7ZKU/tknj2tU36Elv1/jHgt8HSJBJ/apfEozZpB9RjtXezgCn2yS0cpgH9gxVv083smuAvi75AZPccHXd/Xr+8W5XaJfHsS5tE3X2du7/v7hfrF0WrUrskHrVJO6BgtRfuXunu1cFlxhCbPFgSvL4UONDMXgSeILayuhaXbANql8Szj20yC9QmbUHtknjUJu2DhgIbEfxl4cTuKTc12FwG3AiMBFbunkely4/bjtol8ahNEpPaJfGoTVKbeqwaFyV2A+UtwEHBXxM3E+umfVeT00Ojdkk8apPEpHZJPGqTFGYKw42z2E1J3wsef3H3B0MuSVC7JCK1SWJSuyQetUnqUrBqguDKjIuIXZVRHXY9EqN2STxqk8Skdkk8apPUpWAlIiIiEieaYyUiIiISJwpWIiIiInGiYCUiIiISJwpWIiIiInGiYCUiScXMImY2x8wWmNlcM7s+uL/a550z0MzOb6saRaT9UrASkWSzy93HuPsIYrcEORn4SSPnDAQUrESk1Wm5BRFJKmZW7u4F9T4eDHwAdAMGAI8C+cHuq939PTObDhwIrAQmA3cBtwNHA9nA3e5+b5t9EiKSshSsRCSpfDpYBdt2AAcQu99a1N2rzGwI8IS7jzezo4Hvu/tpwfGXA93d/edmlg1MA85295Vt+smISMrRTZhFJJVkAn80szFABBi6l+O+SOwebV8NPi4EhhDr0RIRaTYFKxFJasFQYAQoJjbXajMwmtgc0qq9nQZc4+7/bJMiRaTd0OR1EUlaZlYE/Bn4o8fmNRQCG909Suw+bOnBoWVAh3qn/hO40swyg/cZamb5iIi0kHqsRCTZ5JrZHGLDfnXEJqv/Ntj3J+BZM7sYeAWoCLbPAyJmNhd4GPg9sSsFZ5uZASXAGW31CYhI6tLkdREREZE40VCgiIiISJwoWImIiIjEiYKViIiISJwoWImIiIjEiYKViIiISJwoWImIiIjEiYKViIiISJwoWImIiIjEyf8HAaoXe6bX2DMAAAAASUVORK5CYII=\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## **EMA & EWMA**"
      ],
      "metadata": {
        "id": "jA6v44r_YU49"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "## EMA\n",
        "\n",
        "df_tesla['EMA_0.1'] = df_tesla['Open'].ewm(alpha=0.1, adjust=False).mean()\n",
        "df_tesla[['Open', 'EMA_0.1']].plot(figsize=(15,6))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 384
        },
        "id": "jCoWcnstSEHS",
        "outputId": "313f8024-785d-4431-e94c-92832a2717d2"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fca23401610>"
            ]
          },
          "metadata": {},
          "execution_count": 17
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x432 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "##EWMA\n",
        "\n",
        "df_tesla['EWMA_5days'] = df_tesla['Open'].ewm(span=5).mean()\n",
        "df_tesla[['Open', 'EMA_0.1', 'EWMA_5days']].plot(figsize=(15,6))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 384
        },
        "id": "qBbNGefmZA9a",
        "outputId": "5d283b8e-46bc-4ca0-d206-f73b81c885d7"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fca2336a8d0>"
            ]
          },
          "metadata": {},
          "execution_count": 20
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x432 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        ""
      ],
      "metadata": {
        "id": "H4n-z-GAZc9F"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}