PLYMI_Accessing_Data_Along_Multiple_Dimensions_in_an_Array.ipynb

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    {
      "cell_type": "markdown",
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        "<a href=\"https://colab.research.google.com/github/hiro106/statistics-ml-cs-learning/blob/main/PLYMI_Accessing_Data_Along_Multiple_Dimensions_in_an_Array.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "wXmqyIPqzmAn"
      },
      "outputs": [],
      "source": [
        "import numpy as np"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# A 0-D array\n",
        "np.array(8)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "D940t_D81Kr2",
        "outputId": "0a1ddcf3-e68b-4ea7-f3f4-503723ae34ad"
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        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array(8)"
            ]
          },
          "metadata": {},
          "execution_count": 2
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# A 1-D array, shape-(3,)\n",
        "np.array([2.3, 0.1, -9.1])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "eywwpEtU1LOF",
        "outputId": "c8dd1d8a-ada6-40c2-a161-c5b84934bce6"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 2.3,  0.1, -9.1])"
            ]
          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# A 2-D array, shape-(3, 2)\n",
        "np.array([[93, 95],\n",
        "          [84, 100],\n",
        "          [99, 87]])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "oLMWNY-i1LQr",
        "outputId": "6192c8b8-6fa4-4113-83a5-2b9b5fd07a90"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 93,  95],\n",
              "       [ 84, 100],\n",
              "       [ 99,  87]])"
            ]
          },
          "metadata": {},
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# A 3-D array, shape-(2, 2, 2)\n",
        "d3arr = np.array([[[0, 1],\n",
        "                    [2, 3]],\n",
        "                    [[4, 5],\n",
        "                    [6, 7]]])"
      ],
      "metadata": {
        "id": "WAr_QhAX1LTK"
      },
      "execution_count": 5,
      "outputs": []
    },
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      "cell_type": "code",
      "source": [
        "d3arr"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "eG87mGir1LVg",
        "outputId": "43778c19-2d8d-4927-a156-c54b5dc17f04"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[0, 1],\n",
              "        [2, 3]],\n",
              "\n",
              "       [[4, 5],\n",
              "        [6, 7]]])"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
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    {
      "cell_type": "code",
      "source": [
        "d3arr.shape"
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          "data": {
            "text/plain": [
              "(2, 2, 2)"
            ]
          },
          "metadata": {},
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "type(d3arr)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
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        "id": "5k8NPnPM1Lat",
        "outputId": "8992bbce-0722-460e-e717-d416a19376d3"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "numpy.ndarray"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "nWu4IZLH1LdC"
      },
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "simple_array = np.array([2.3, 0.1, -9.1])"
      ],
      "metadata": {
        "id": "BwylCAiB1Lfm"
      },
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "simple_array"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tvIah5os1LiK",
        "outputId": "3daae2b2-384f-47c4-a0cd-47a13f364545"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 2.3,  0.1, -9.1])"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "simple_array[1]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8ezfzVIs1Lku",
        "outputId": "2fb3d98b-0ff1-4757-97f5-9afc789d5ecd"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.1"
            ]
          },
          "metadata": {},
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "simple_array[1:3]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "-Ew2w9YQ2jH3",
        "outputId": "749c5a60-c3c5-41b7-defc-8f85111aeb99"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 0.1, -9.1])"
            ]
          },
          "metadata": {},
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# This indexing ends up with an out of bounds error\n",
        "# simple_array[3]"
      ],
      "metadata": {
        "id": "VbyIKnXt2jKj"
      },
      "execution_count": 13,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# using a 1-dimensional array to store the grades\n",
        "grades = np.array([93, 95, 84, 100, 99, 87])"
      ],
      "metadata": {
        "id": "qeeYSUQC2jMn"
      },
      "execution_count": 14,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "grades"
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      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "QcqENxEL2jPU",
        "outputId": "827b2aec-fc92-4b4e-f5b2-bd79493da239"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 93,  95,  84, 100,  99,  87])"
            ]
          },
          "metadata": {},
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# using a 2-dimensional array to store the grades\n",
        "grades = np.array([[93, 95],\n",
        "                   [84, 100],\n",
        "                   [99, 87]])"
      ],
      "metadata": {
        "id": "1ZdkVBYY2jRj"
      },
      "execution_count": 16,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "grades"
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      "metadata": {
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        "id": "_qa_Iyn52jUK",
        "outputId": "edbd9542-661b-41d9-d459-5606ba90e509"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 93,  95],\n",
              "       [ 84, 100],\n",
              "       [ 99,  87]])"
            ]
          },
          "metadata": {},
          "execution_count": 17
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "grades.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
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        "id": "dSfGUfb62jW1",
        "outputId": "f20ae239-6dfc-4427-a275-74f422391bf6"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3, 2)"
            ]
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "grades[1, 0]"
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        "colab": {
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      "execution_count": 19,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "84"
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          },
          "metadata": {},
          "execution_count": 19
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    },
    {
      "cell_type": "code",
      "source": [
        "grades[-2, 0]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nBtHIJuj2jbh",
        "outputId": "21df4600-4914-4d90-8e2e-154be21939bf"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "84"
            ]
          },
          "metadata": {},
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "gr1d = grades[0:3, 1]"
      ],
      "metadata": {
        "id": "0CfGf75X3t-G"
      },
      "execution_count": 21,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "gr1d.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "-IWPFM_g4_oJ",
        "outputId": "e127b7a4-b454-4acd-aee0-0f4d4ba508f4"
      },
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3,)"
            ]
          },
          "metadata": {},
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "gr1d2 = grades[1:, 1]"
      ],
      "metadata": {
        "id": "F784dxxp3uAj"
      },
      "execution_count": 23,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "gr1d2.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "lK-e9EFy5QQZ",
        "outputId": "455bf68b-6252-4eee-d77d-4bd1b5b2e801"
      },
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(2,)"
            ]
          },
          "metadata": {},
          "execution_count": 24
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "gr2d = grades[:, :1]"
      ],
      "metadata": {
        "id": "4pvWgH6d3uC7"
      },
      "execution_count": 25,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "gr2d.shape"
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      "metadata": {
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          "base_uri": "https://localhost:8080/"
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        "outputId": "91247f33-5147-4d43-8882-3198d2916e50"
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      "execution_count": 26,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3, 1)"
            ]
          },
          "metadata": {},
          "execution_count": 26
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "gr_neg = grades[:, -1]"
      ],
      "metadata": {
        "id": "3KTa-fFZ3uIA"
      },
      "execution_count": 27,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "gr_neg"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "GsJzKfLT6XKs",
        "outputId": "da498e12-74ba-4fac-b906-0168ecd3bbd2"
      },
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 95, 100,  87])"
            ]
          },
          "metadata": {},
          "execution_count": 28
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "gr_neg.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_gQfiuU63uKj",
        "outputId": "f279b5c9-fdbf-49a3-c5f8-1af9e2d5dbc0"
      },
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3,)"
            ]
          },
          "metadata": {},
          "execution_count": 29
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "grades[0]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "j8DfBHl36Ii5",
        "outputId": "1f11bc02-7a20-4b4f-bdb4-52257a859e4c"
      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([93, 95])"
            ]
          },
          "metadata": {},
          "execution_count": 30
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "grades[0, :]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nw3_BPCn3uNZ",
        "outputId": "8cd28b58-8956-4de2-dc35-6e8828298b31"
      },
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([93, 95])"
            ]
          },
          "metadata": {},
          "execution_count": 31
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "W30MVD-D6NyY"
      },
      "execution_count": 31,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "d3_array = np.array([[[0, 1],\n",
        "                      [2, 3]],\n",
        "                     \n",
        "                     [[4, 5],\n",
        "                      [6, 7]]])"
      ],
      "metadata": {
        "id": "TEhVr9sH3uPs"
      },
      "execution_count": 32,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "d3_array"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qDn8Td5Y3uSg",
        "outputId": "a4bd915e-5d2f-4732-bb88-66a5f510f0b1"
      },
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[0, 1],\n",
              "        [2, 3]],\n",
              "\n",
              "       [[4, 5],\n",
              "        [6, 7]]])"
            ]
          },
          "metadata": {},
          "execution_count": 33
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "d3_array[:, 0, 0]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "bJqcs3MU3uVh",
        "outputId": "b0438ff6-ee2f-41fc-a1b0-e876a92ed602"
      },
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 4])"
            ]
          },
          "metadata": {},
          "execution_count": 34
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "d3_array[1]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "myfwG_xV3uY3",
        "outputId": "a1dbc00e-09eb-469f-d8a3-9fd36bd350e7"
      },
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[4, 5],\n",
              "       [6, 7]])"
            ]
          },
          "metadata": {},
          "execution_count": 35
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "d3_array[1].shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "A5DbKUYk1LoO",
        "outputId": "48d029b9-3ec7-4c58-b709-2bcbd256c787"
      },
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(2, 2)"
            ]
          },
          "metadata": {},
          "execution_count": 36
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "d3_array[1, :, :]"
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      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
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        "id": "phhsbecN6mMG",
        "outputId": "eaa52863-e43f-4d92-ea8c-f9cb5bc948c7"
      },
      "execution_count": 37,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[4, 5],\n",
              "       [6, 7]])"
            ]
          },
          "metadata": {},
          "execution_count": 37
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "VByQoEM26mOr"
      },
      "execution_count": 37,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "arr = np.array([[[ 0,  1,  2],\n",
        "                 [ 3,  4,  5],\n",
        "                 [ 6,  7,  8]],\n",
        "               \n",
        "                [[ 9, 10, 11],\n",
        "                 [12, 13, 14],\n",
        "                 [15, 16, 17]],\n",
        "               \n",
        "                [[18, 19, 20],\n",
        "                 [21, 22, 23],\n",
        "                 [24, 25, 26]]])"
      ],
      "metadata": {
        "id": "rNlHIpM_6mRM"
      },
      "execution_count": 38,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "arr[:, :, 2]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "PJdC7mKf6mT0",
        "outputId": "ef1fe9d4-0557-4030-9e0a-c1a9f840120f"
      },
      "execution_count": 39,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 2,  5,  8],\n",
              "       [11, 14, 17],\n",
              "       [20, 23, 26]])"
            ]
          },
          "metadata": {},
          "execution_count": 39
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "arr[:2, 1, :]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "uSB2hhD06mWU",
        "outputId": "e616d5e4-fca7-408d-a535-b00b854f4244"
      },
      "execution_count": 40,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 3,  4,  5],\n",
              "       [12, 13, 14]])"
            ]
          },
          "metadata": {},
          "execution_count": 40
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "arr[0, :2, 2]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_6wCqfMv6mY6",
        "outputId": "7f3cf626-4817-48c7-fd3f-a5797794d77e"
      },
      "execution_count": 41,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([2, 5])"
            ]
          },
          "metadata": {},
          "execution_count": 41
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "arr[1, :, ::-1]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "i4u4TQY56mbx",
        "outputId": "39343860-0bb1-473d-9a39-239dcbed78d3"
      },
      "execution_count": 42,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[11, 10,  9],\n",
              "       [14, 13, 12],\n",
              "       [17, 16, 15]])"
            ]
          },
          "metadata": {},
          "execution_count": 42
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "arr[1, :, ::-1].shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "AJfdz9-kH5rj",
        "outputId": "0e456686-9ca8-443a-a5de-bb4f2ef008fd"
      },
      "execution_count": 43,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3, 3)"
            ]
          },
          "metadata": {},
          "execution_count": 43
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "arr[1, :, ::-1].size"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "I7q557KgH8N_",
        "outputId": "80094b96-7584-4847-9ef8-5a54fc5a5ad9"
      },
      "execution_count": 44,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "9"
            ]
          },
          "metadata": {},
          "execution_count": 44
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "0CWxadQE6mfX"
      },
      "execution_count": 44,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x = np.array(15.2)"
      ],
      "metadata": {
        "id": "Y26GRDNqHuBK"
      },
      "execution_count": 45,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "jWn3xqmGHypV",
        "outputId": "580cba9e-846c-4a64-cca8-9e131ed844f1"
      },
      "execution_count": 46,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array(15.2)"
            ]
          },
          "metadata": {},
          "execution_count": 46
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "uOhVhHPTHzEr",
        "outputId": "544c62af-9cc0-4451-d5cd-b1706f13aa28"
      },
      "execution_count": 47,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "()"
            ]
          },
          "metadata": {},
          "execution_count": 47
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.size"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "o018JUzsH0ej",
        "outputId": "872e5d35-c850-4475-cba2-1ea6c536eb01"
      },
      "execution_count": 48,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "1"
            ]
          },
          "metadata": {},
          "execution_count": 48
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# x[0]"
      ],
      "metadata": {
        "id": "j_EIYeTmH3rb"
      },
      "execution_count": 49,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x.item()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BoEpA19vIBXn",
        "outputId": "c51e4232-67da-4af2-b9a7-ddc2eaa36c3a"
      },
      "execution_count": 50,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "15.2"
            ]
          },
          "metadata": {},
          "execution_count": 50
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "lwtCOIhWIEPv"
      },
      "execution_count": 50,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x = np.array([[1, 2, 3, 4],\n",
        "              [5, 6, 7, 8],\n",
        "              [9, 10, 11, 12]])"
      ],
      "metadata": {
        "id": "KYqMOqPnIE6I"
      },
      "execution_count": 51,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "F1YVg7esIUnt",
        "outputId": "11502e6b-0964-408e-8bb8-dff81d2703c3"
      },
      "execution_count": 52,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 1,  2,  3,  4],\n",
              "       [ 5,  6,  7,  8],\n",
              "       [ 9, 10, 11, 12]])"
            ]
          },
          "metadata": {},
          "execution_count": 52
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "btqbagzXIVMt",
        "outputId": "acf080b3-e50b-4e4d-d038-e636812461a3"
      },
      "execution_count": 53,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3, 4)"
            ]
          },
          "metadata": {},
          "execution_count": 53
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.size"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "867r-GeyIWzF",
        "outputId": "02de6555-8998-41d5-844b-4c6929f27155"
      },
      "execution_count": 54,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "12"
            ]
          },
          "metadata": {},
          "execution_count": 54
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.item"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8Uuks-DKIXmr",
        "outputId": "5fd845fd-e141-4ca9-eda8-337f7f75970c"
      },
      "execution_count": 55,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<function ndarray.item>"
            ]
          },
          "metadata": {},
          "execution_count": 55
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# x.item()"
      ],
      "metadata": {
        "id": "K5tiDjgXIZnD"
      },
      "execution_count": 56,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x.reshape(3, 2, 2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "kIsO84WRIbgM",
        "outputId": "4bf3814b-2f68-4f3f-c0d4-aebe037a398e"
      },
      "execution_count": 57,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 1,  2],\n",
              "        [ 3,  4]],\n",
              "\n",
              "       [[ 5,  6],\n",
              "        [ 7,  8]],\n",
              "\n",
              "       [[ 9, 10],\n",
              "        [11, 12]]])"
            ]
          },
          "metadata": {},
          "execution_count": 57
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BsxBJ2zfIocq",
        "outputId": "da4960ea-af57-4221-929e-265251591f67"
      },
      "execution_count": 58,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3, 4)"
            ]
          },
          "metadata": {},
          "execution_count": 58
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.reshape(3, 2, 2).shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "cjfHTskTIwhC",
        "outputId": "5792e69c-8a67-48cc-a8bb-442250199f4f"
      },
      "execution_count": 59,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3, 2, 2)"
            ]
          },
          "metadata": {},
          "execution_count": 59
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.transpose()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "kXDiOo1yI0e1",
        "outputId": "4f03e880-2d45-42d5-95f8-152ccdaa2337"
      },
      "execution_count": 60,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 1,  5,  9],\n",
              "       [ 2,  6, 10],\n",
              "       [ 3,  7, 11],\n",
              "       [ 4,  8, 12]])"
            ]
          },
          "metadata": {},
          "execution_count": 60
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.transpose().shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "F8-QfRQeI7Xk",
        "outputId": "7b7b8264-0357-43ed-b0d8-7866bcd04f95"
      },
      "execution_count": 61,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(4, 3)"
            ]
          },
          "metadata": {},
          "execution_count": 61
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.transpose().reshape(3, 2, 2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "E0-cX2x8I9bT",
        "outputId": "c8ec25a4-dab8-46a4-bc9e-7db3d1ba8ca1"
      },
      "execution_count": 62,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 1,  5],\n",
              "        [ 9,  2]],\n",
              "\n",
              "       [[ 6, 10],\n",
              "        [ 3,  7]],\n",
              "\n",
              "       [[11,  4],\n",
              "        [ 8, 12]]])"
            ]
          },
          "metadata": {},
          "execution_count": 62
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.transpose().transpose()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "i6suvODFJCz1",
        "outputId": "1ed7e92d-9027-4736-9edd-fe8a8309e640"
      },
      "execution_count": 63,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 1,  2,  3,  4],\n",
              "       [ 5,  6,  7,  8],\n",
              "       [ 9, 10, 11, 12]])"
            ]
          },
          "metadata": {},
          "execution_count": 63
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "mpcb_9r7JOuD"
      },
      "execution_count": 63,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x = np.array([0,1,2,3,4,5])"
      ],
      "metadata": {
        "id": "p8J_-whUJWJZ"
      },
      "execution_count": 64,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "sKLq8wvRJZbD",
        "outputId": "0a5a1ff8-7a51-4b93-aae6-c7df75b7b012"
      },
      "execution_count": 65,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 1, 2, 3, 4, 5])"
            ]
          },
          "metadata": {},
          "execution_count": 65
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.reshape(2, 3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "urfUCpMtJZtx",
        "outputId": "41931746-6775-4924-8f01-80a77e9f0be6"
      },
      "execution_count": 66,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0, 1, 2],\n",
              "       [3, 4, 5]])"
            ]
          },
          "metadata": {},
          "execution_count": 66
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.transpose()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "iG9CQCNjJbES",
        "outputId": "fb8703ef-6c08-443f-dde9-74f7f3a4ed59"
      },
      "execution_count": 67,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 1, 2, 3, 4, 5])"
            ]
          },
          "metadata": {},
          "execution_count": 67
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nAQP6DmkJeIZ",
        "outputId": "402bdbe4-7460-46de-fb28-a9fc3ef7d6d4"
      },
      "execution_count": 68,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(6,)"
            ]
          },
          "metadata": {},
          "execution_count": 68
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.transpose().shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "FNBzRhw9JfWQ",
        "outputId": "e858d5b6-9150-4230-d55e-f12d043c8399"
      },
      "execution_count": 69,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(6,)"
            ]
          },
          "metadata": {},
          "execution_count": 69
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.reshape(6,1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "GZGmcC0MJhCF",
        "outputId": "441edcae-4581-4407-e7c4-aeb1bc7ca774"
      },
      "execution_count": 70,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0],\n",
              "       [1],\n",
              "       [2],\n",
              "       [3],\n",
              "       [4],\n",
              "       [5]])"
            ]
          },
          "metadata": {},
          "execution_count": 70
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.reshape(6,)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BcyUoUniJor6",
        "outputId": "82c169b4-f509-49c7-cf63-29d6928be1a8"
      },
      "execution_count": 71,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 1, 2, 3, 4, 5])"
            ]
          },
          "metadata": {},
          "execution_count": 71
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.reshape(1, 6)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "OP6Ry4gWJrJk",
        "outputId": "a5035891-b12e-48fb-ab0e-eefc2c5a00b0"
      },
      "execution_count": 72,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0, 1, 2, 3, 4, 5]])"
            ]
          },
          "metadata": {},
          "execution_count": 72
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.reshape(1, 6).shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "HawFP4BHJswE",
        "outputId": "21d765a1-1d51-4d67-d995-030f06fa5db5"
      },
      "execution_count": 73,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(1, 6)"
            ]
          },
          "metadata": {},
          "execution_count": 73
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "vFyvkVejJy80",
        "outputId": "08b3d44d-789e-49de-ca10-b27905a154c4"
      },
      "execution_count": 74,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(6,)"
            ]
          },
          "metadata": {},
          "execution_count": 74
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.shape = (2, 3)"
      ],
      "metadata": {
        "id": "Cm_P52TOJ0cl"
      },
      "execution_count": 75,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tE1azY_xJ4To",
        "outputId": "06efe583-9ca9-47f8-f5bd-cbc17864f0e5"
      },
      "execution_count": 76,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0, 1, 2],\n",
              "       [3, 4, 5]])"
            ]
          },
          "metadata": {},
          "execution_count": 76
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "l9Xkc2bZJ5Pc",
        "outputId": "5601e675-d2d5-4e5e-bf88-fa2d3f269c52"
      },
      "execution_count": 77,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(2, 3)"
            ]
          },
          "metadata": {},
          "execution_count": 77
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.transpose()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "RpxuKnXyJ6dk",
        "outputId": "b5908c2d-7842-4398-a621-4c573d58c91a"
      },
      "execution_count": 78,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0, 3],\n",
              "       [1, 4],\n",
              "       [2, 5]])"
            ]
          },
          "metadata": {},
          "execution_count": 78
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.size"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4Uznml0hJ8oT",
        "outputId": "93e881e0-43c9-489a-db26-b27432ea3c53"
      },
      "execution_count": 79,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "6"
            ]
          },
          "metadata": {},
          "execution_count": 79
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# x.shape = (2, 2)"
      ],
      "metadata": {
        "id": "MDvqB8yHKAq7"
      },
      "execution_count": 80,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "np.arange(36)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "p2YYYwtNKECt",
        "outputId": "aae3cdff-457c-4391-e096-9b41383bbc8a"
      },
      "execution_count": 81,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,\n",
              "       17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,\n",
              "       34, 35])"
            ]
          },
          "metadata": {},
          "execution_count": 81
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.arange(36).reshape(3, 4, 3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "dUX4eXfRKJ0E",
        "outputId": "4608e6b6-d1c9-4796-a8d7-a649fbe7a93f"
      },
      "execution_count": 82,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 0,  1,  2],\n",
              "        [ 3,  4,  5],\n",
              "        [ 6,  7,  8],\n",
              "        [ 9, 10, 11]],\n",
              "\n",
              "       [[12, 13, 14],\n",
              "        [15, 16, 17],\n",
              "        [18, 19, 20],\n",
              "        [21, 22, 23]],\n",
              "\n",
              "       [[24, 25, 26],\n",
              "        [27, 28, 29],\n",
              "        [30, 31, 32],\n",
              "        [33, 34, 35]]])"
            ]
          },
          "metadata": {},
          "execution_count": 82
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.arange(36).reshape(3, 4, -1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "-ziXXXBTKaUa",
        "outputId": "1e24f449-4cfe-4522-fe14-e23f4df1a5ba"
      },
      "execution_count": 83,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 0,  1,  2],\n",
              "        [ 3,  4,  5],\n",
              "        [ 6,  7,  8],\n",
              "        [ 9, 10, 11]],\n",
              "\n",
              "       [[12, 13, 14],\n",
              "        [15, 16, 17],\n",
              "        [18, 19, 20],\n",
              "        [21, 22, 23]],\n",
              "\n",
              "       [[24, 25, 26],\n",
              "        [27, 28, 29],\n",
              "        [30, 31, 32],\n",
              "        [33, 34, 35]]])"
            ]
          },
          "metadata": {},
          "execution_count": 83
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.arange(36).reshape(3, -1, 3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fHb4TooMgMUH",
        "outputId": "873a4160-c655-4319-c6fe-927590fdbbc6"
      },
      "execution_count": 84,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 0,  1,  2],\n",
              "        [ 3,  4,  5],\n",
              "        [ 6,  7,  8],\n",
              "        [ 9, 10, 11]],\n",
              "\n",
              "       [[12, 13, 14],\n",
              "        [15, 16, 17],\n",
              "        [18, 19, 20],\n",
              "        [21, 22, 23]],\n",
              "\n",
              "       [[24, 25, 26],\n",
              "        [27, 28, 29],\n",
              "        [30, 31, 32],\n",
              "        [33, 34, 35]]])"
            ]
          },
          "metadata": {},
          "execution_count": 84
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.arange(36).reshape(-1, 4, 3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7WOxKicHgh3n",
        "outputId": "69489834-b30a-47d2-d585-6f821a34138a"
      },
      "execution_count": 85,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 0,  1,  2],\n",
              "        [ 3,  4,  5],\n",
              "        [ 6,  7,  8],\n",
              "        [ 9, 10, 11]],\n",
              "\n",
              "       [[12, 13, 14],\n",
              "        [15, 16, 17],\n",
              "        [18, 19, 20],\n",
              "        [21, 22, 23]],\n",
              "\n",
              "       [[24, 25, 26],\n",
              "        [27, 28, 29],\n",
              "        [30, 31, 32],\n",
              "        [33, 34, 35]]])"
            ]
          },
          "metadata": {},
          "execution_count": 85
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "mlFSIrLVgmjS"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}