From eef57ae44e68df5aa6c13a082e78869316489227 Mon Sep 17 00:00:00 2001
From: Francisco <70050147+1aidea@users.noreply.github.com>
Date: Sun, 13 Feb 2022 21:00:16 -0500
Subject: [PATCH 1/7] Assignment1 Submission
---
01/Copy_of_CS480_Assignment_1.ipynb | 643 ++++++++++++++++++++++++++++
1 file changed, 643 insertions(+)
create mode 100644 01/Copy_of_CS480_Assignment_1.ipynb
diff --git a/01/Copy_of_CS480_Assignment_1.ipynb b/01/Copy_of_CS480_Assignment_1.ipynb
new file mode 100644
index 0000000..3f4eacd
--- /dev/null
+++ b/01/Copy_of_CS480_Assignment_1.ipynb
@@ -0,0 +1,643 @@
+{
+ "nbformat": 4,
+ "nbformat_minor": 0,
+ "metadata": {
+ "colab": {
+ "name": "Copy of CS480 Assignment 1.ipynb",
+ "provenance": [],
+ "collapsed_sections": [],
+ "include_colab_link": true
+ },
+ "kernelspec": {
+ "name": "python3",
+ "display_name": "Python 3"
+ }
+ },
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "view-in-github",
+ "colab_type": "text"
+ },
+ "source": [
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "asaW4NA0jK20"
+ },
+ "source": [
+ "![CS480_w.png](data:image/png;base64,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)\n",
+ "# Assignment 1\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/"
+ },
+ "id": "Xv1Wc4ECfZwV",
+ "outputId": "297690d9-4444-4a79-e1c8-549f9aba2af5"
+ },
+ "source": [
+ "%pylab inline"
+ ],
+ "execution_count": 2,
+ "outputs": [
+ {
+ "output_type": "stream",
+ "name": "stdout",
+ "text": [
+ "Populating the interactive namespace from numpy and matplotlib\n"
+ ]
+ }
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "LD_A0Idy5NY0"
+ },
+ "source": [
+ "from scipy.misc import electrocardiogram # scipy is a python scientific computing library\n",
+ "ecg = electrocardiogram() # let's load the scipy ECG dataset"
+ ],
+ "execution_count": 3,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "NFw0i1_4-ixY"
+ },
+ "source": [
+ "SAMPLING_RATE = 360 # this data was sampled with 360 Hz"
+ ],
+ "execution_count": 4,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "MXCidk9L_VG8"
+ },
+ "source": [
+ "**Task 1:** Plot the data in the range from 9 to 11 seconds! [30 Points]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "s2n86tUP_pMZ",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 282
+ },
+ "outputId": "cf313ae4-05ea-4586-abd2-6917806bf7b8"
+ },
+ "source": [
+ "# TODO your plotting code goes here\n",
+ "# please take the sampling rate into account to only plot the range\n",
+ "# between 9 and 11 seconds\n",
+ "\n",
+ "task1 = ecg[8*SAMPLING_RATE: 11*SAMPLING_RATE]\n",
+ "plt.plot(task1)"
+ ],
+ "execution_count": 5,
+ "outputs": [
+ {
+ "output_type": "execute_result",
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "metadata": {},
+ "execution_count": 5
+ },
+ {
+ "output_type": "display_data",
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ "