863 lines
16 KiB
Plaintext
863 lines
16 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import pandas as pd\n",
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"import matplotlib.pyplot as plt"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array1 = np.array([1, 2, 3, 4, 5])\n",
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"array1"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array2 = np.arange(0, 20, 2)\n",
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"array2"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array3 = np.linspace(-5, 5, 101)\n",
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"array3"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array4 = np.random.rand(10)\n",
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"array4"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array5 = np.random.randint(1, 101, 10)\n",
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"array5"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array6 = np.random.normal(50, 10, 20)\n",
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"array6"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array7 = np.array([[1, 2, 3], [4, 5, 6]])\n",
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"array7"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array8 = np.zeros((3, 4))\n",
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"array8"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array9 = np.ones((3, 4))\n",
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"array9"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array10 = np.full((3, 4), 10)\n",
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"array10"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array11 = np.eye(4)\n",
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"array11"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array12 = np.array([1, 2, 3, 4, 5, 6]).reshape(2, 3)\n",
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"array12"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array13 = np.random.rand(3, 4)\n",
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"array13"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array14 = np.random.randint(1, 100, (3, 4))\n",
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"array14"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array15 = np.random.randint(1, 100, (3, 4, 5))\n",
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"array15"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array16 = np.arange(1, 25).reshape((2, 3, 4))\n",
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"array16"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array17 = np.random.randint(1, 100, (4, 6)).reshape((4, 3, 2))\n",
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"array17"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array18 = plt.imread('guido.jpg')\n",
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"array18"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array19 = np.arange(1, 100, 2)\n",
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"array20 = np.random.rand(3, 4)\n",
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"print(array19.size, array20.size)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array19.shape, array20.shape)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array19.dtype, array20.dtype)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array19.ndim, array20.ndim)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array21 = np.arange(1, 100, 2, dtype=np.int8)\n",
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"print(array19.itemsize, array20.itemsize, array21.itemsize)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array19.nbytes, array20.nbytes, array21.nbytes)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"from typing import Iterable\n",
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"\n",
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"print(isinstance(array20.flat, np.ndarray), isinstance(array20.flat, Iterable))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array22 = array19[:]\n",
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"print(array22.base is array19, array22.base is array21)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array23 = np.array([1, 2, 3, 4, 5, 6, 7, 8, 9])\n",
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"print(array23[0], array23[array23.size - 1])\n",
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"print(array23[-array23.size], array23[-1])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array24 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])\n",
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"print(array24[2])\n",
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"print(array24[0][0], array24[-1][-1])\n",
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"print(array24[1][1], array24[1, 1])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array24[1][1] = 10\n",
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"print(array24)\n",
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"array24[1] = [10, 11, 12]\n",
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"print(array24)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array24[:2, 1:])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array24[2])\n",
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"print(array24[2, :])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array24[2:, :])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array24[:, :2])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array24[1, :2])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array24[1:2, :2])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array24[1:2, :2].base"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array24[::2, ::2])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(array24[::-2, ::-2])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"cell_style": "center",
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"scrolled": false
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},
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"outputs": [],
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"source": [
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"guido_image = plt.imread('guido.jpg')\n",
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"guido_shape"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"cell_style": "split"
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},
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"outputs": [],
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"source": [
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"plt.imshow(guido_image)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"cell_style": "split"
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},
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"outputs": [],
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"source": [
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"plt.imshow(guido_image[::-1])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"cell_style": "split"
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},
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"outputs": [],
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"source": [
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"plt.imshow(guido_image)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"cell_style": "split"
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},
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"outputs": [],
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"source": [
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"plt.imshow(guido_image[:,::-1])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"cell_style": "split"
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},
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"outputs": [],
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"source": [
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"plt.imshow(guido_image)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"cell_style": "split"
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},
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"outputs": [],
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"source": [
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"plt.imshow(guido_image[30:350, 90:300])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array25 = np.array([50, 30, 15, 20, 40])\n",
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"array25[[0, 1, -1]]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array26 = np.array([[30, 20, 10], [40, 60, 50], [10, 90, 80]])\n",
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"array26[[0, 2]]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array26[[0, 2], [1, 2]]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array26[[0, 2], [1]]\n",
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"array26[[0, 2], 1]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array27 = np.arange(1, 10)\n",
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"array27[[True, False, True, True, False, False, False, False, True]]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array27 >= 5"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
|
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"~(array27 >= 5)"
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]
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},
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{
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||
"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array27[array27 >= 5]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array28 = np.array([1, 2, 3, 4, 5, 5, 4, 3, 2, 1])\n",
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"print(array28.sum())\n",
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"print(array28.mean())\n",
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"print(array28.max())\n",
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"print(array28.min())\n",
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"print(array28.std())\n",
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"print(array28.var())\n",
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"print(array28.cumsum())"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array29 = np.array([3, 4])\n",
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"array30 = np.array([5, 6])\n",
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"array29.dot(array30)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array31 = np.array([[1, 2, 3], [4, 5, 6]])\n",
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"array32 = np.array([[1, 2], [3, 4], [5, 6]])\n",
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"array31.dot(array32)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array31.dump('array31-data')\n",
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"array32 = np.load('array31-data', allow_pickle=True)\n",
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"array32"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"array32.flatten()"
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||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"array33 = np.array([35, 96, 12, 78, 66, 54, 40, 82])\n",
|
||
"array33.sort()\n",
|
||
"array33"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"array32.swapaxes(0, 1)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"array32.transpose()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"array34 = array33.take([0, 2, -3, -1])\n",
|
||
"array34"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"array35 = np.arange(1, 10)\n",
|
||
"print(array35 + 10)\n",
|
||
"print(array35 * 10)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"array36 = np.array([1, 1, 1, 2, 2, 2, 3, 3, 3])\n",
|
||
"print(array35 + array36)\n",
|
||
"print(array35 * array36)\n",
|
||
"print(array35 ** array36)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"print(np.sqrt(array35))\n",
|
||
"print(np.log2(array35))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"array37 = np.array([[4, 5, 6], [7, 8, 9]])\n",
|
||
"array38 = np.array([[1, 2, 3], [3, 2, 1]])\n",
|
||
"print(array37 * array38)\n",
|
||
"print(np.power(array37, array38))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"array39 = np.array([[0, 0, 0], [1, 1, 1], [2, 2, 2], [3, 3, 3]])\n",
|
||
"array40 = np.array([1, 2, 3])\n",
|
||
"array39 + array40"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"array41 = np.array([[1], [2], [3], [4]])\n",
|
||
"array39 + array41"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"array42 = np.array([[1, 1, 1], [2, 2, 2], [3, 3, 3]])\n",
|
||
"array43 = np.array([[4, 4, 4], [5, 5, 5], [6, 6, 6]])\n",
|
||
"np.hstack((array42, array43))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"np.vstack((array42, array43))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"np.concatenate((array42, array43))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"np.concatenate((array42, array43), axis=1)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"x = np.array([1, 2, 3])\n",
|
||
"y = np.array([4, 5, 6])\n",
|
||
"np.cross(x, y)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"m1 = np.matrix('1 2 3; 4 5 6')\n",
|
||
"m1"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"m2 = np.asmatrix(np.array([[1, 1], [2, 2], [3, 3]]))\n",
|
||
"m2"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"m1.dot(m2)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"m1 * m2"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"m3 = np.array([[1., 2.], [3., 4.]])\n",
|
||
"np.linalg.inv(m3)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"m4 = np.array([[1, 3, 5], [2, 4, 6], [4, 7, 9]])\n",
|
||
"np.linalg.det(m4)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# 解线性方程组ax=b\n",
|
||
"# 3x + y = 9,x + 2y = 8\n",
|
||
"a = np.array([[3,1], [1,2]])\n",
|
||
"b = np.array([9, 8])\n",
|
||
"np.linalg.solve(a, b)"
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "Python 3",
|
||
"language": "python",
|
||
"name": "python3"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 3
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython3",
|
||
"version": "3.7.7"
|
||
},
|
||
"toc": {
|
||
"base_numbering": 1,
|
||
"nav_menu": {},
|
||
"number_sections": true,
|
||
"sideBar": true,
|
||
"skip_h1_title": false,
|
||
"title_cell": "Table of Contents",
|
||
"title_sidebar": "Contents",
|
||
"toc_cell": false,
|
||
"toc_position": {},
|
||
"toc_section_display": true,
|
||
"toc_window_display": false
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 2
|
||
}
|