From 9c2b3f01a115d7a43c8f0b0c7f3e68641d1654c9 Mon Sep 17 00:00:00 2001 From: unknown Date: Thu, 3 Feb 2022 16:33:42 -0500 Subject: [PATCH] Added lecture 5 and practice exercise 2 material --- demos/lec05/cones.csv | 7 + demos/lec05/lec05.ipynb | 701 + demos/lec05/lec05_sol.ipynb | 767 + .../lecture_05_additional_material_sol.ipynb | 1146 + demos/lec05/minard.csv | 9 + demos/lec05/movies_by_year.csv | 1 + .../movies_by_year_with_ticket_price.csv | 37 + demos/lec05/nba_salaries.csv | 418 + practice_exercises/practice02.zip | Bin 0 -> 991692 bytes .../practice02/array_logarithm.jpg | Bin 0 -> 127010 bytes .../practice02/array_multiplication.jpg | Bin 0 -> 73554 bytes .../practice02/chaining_method_calls.jpg | Bin 0 -> 109333 bytes practice_exercises/practice02/excel_array.jpg | Bin 0 -> 391475 bytes .../practice02/more_restaurant_bills.csv | 100001 +++++++++++++++ .../practice02/practice02.ipynb | 1153 + .../practice02/practice02_sol.ipynb | 1816 + practice_exercises/practice02/statement.jpg | Bin 0 -> 70560 bytes .../practice02/world_population.csv | 67 + 18 files changed, 106123 insertions(+) create mode 100644 demos/lec05/cones.csv create mode 100644 demos/lec05/lec05.ipynb create mode 100644 demos/lec05/lec05_sol.ipynb create mode 100644 demos/lec05/lecture_05_additional_material_sol.ipynb create mode 100644 demos/lec05/minard.csv create mode 100644 demos/lec05/movies_by_year.csv create mode 100644 demos/lec05/movies_by_year_with_ticket_price.csv create mode 100644 demos/lec05/nba_salaries.csv create mode 100644 practice_exercises/practice02.zip create mode 100644 practice_exercises/practice02/array_logarithm.jpg create mode 100644 practice_exercises/practice02/array_multiplication.jpg create mode 100644 practice_exercises/practice02/chaining_method_calls.jpg create mode 100644 practice_exercises/practice02/excel_array.jpg create mode 100644 practice_exercises/practice02/more_restaurant_bills.csv create mode 100644 practice_exercises/practice02/practice02.ipynb create mode 100644 practice_exercises/practice02/practice02_sol.ipynb create mode 100644 practice_exercises/practice02/statement.jpg create mode 100644 practice_exercises/practice02/world_population.csv diff --git a/demos/lec05/cones.csv b/demos/lec05/cones.csv new file mode 100644 index 0000000..ee257c5 --- /dev/null +++ b/demos/lec05/cones.csv @@ -0,0 +1,7 @@ +Flavor,Color,Price +strawberry,pink,3.55 +chocolate,light brown,4.75 +chocolate,dark brown,5.25 +strawberry,pink,5.25 +chocolate,dark brown,5.25 +bubblegum,pink,4.75 diff --git a/demos/lec05/lec05.ipynb b/demos/lec05/lec05.ipynb new file mode 100644 index 0000000..d57268f --- /dev/null +++ b/demos/lec05/lec05.ipynb @@ -0,0 +1,701 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from datascience import *\n", + "import numpy as np\n", + "\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as plots\n", + "plots.style.use('fivethirtyeight')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Arrays ##\n", + "\n", + "Arrays are a data structure that holds a sequence of values of the same type. For example, a squence of all numbers, or a squence of all strings, etc. \n", + "\n", + "We can use use the `make_array` function from the `datascience` package to create what are called `ndarray` that are array implemented by the `NumPy` package. One can perform a range of operations on these arrays in a very efficient manner. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ranges ##\n", + "\n", + "Range functions allow one to create arrays of ordered sequences of numbers. We can use the `np.arange()` function to create NumPy ndarrays. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 2, 3, 4])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,\n", + " 24])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5, 15])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5, 15, 25])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5., 15., 25.])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Tables ##\n", + "\n", + "Tables stored structured data. We can use the `datascience` package to create `Table` objects that we can perform data manipulation operations on (the `Table` object is a simplified version of a Pandas DataFrame). \n", + "\n", + "Some methods we can perform on `Table` objects are:\n", + "- `tb.show(k)`: show the first k rows of the table\n", + "- `tb.select('col1', 'col2')`: select `col1` and `col2` from the table\n", + "- `tb.drop('col')`: remove `col` from the table\n", + "- `tb.sort('col')`: sort the rows in the table based on the values in `col`\n", + "- `tb.where('col', value)`: reduce the table to rows where `col` is equal to `value` \n", + "\n", + "These methods all return Table objects that have been modified based on the methods that have been called. \n", + "\n", + "\n", + "Let's look at data on ice cream cones that is described in the class textbook. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Load the ice cream data. Each row represents one ice cream cone.\n", + "cones = Table.read_table('cones.csv')\n", + "cones" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Show the first 2 rows of the data\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# select only the Flavor column\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# the original cones Table is not modified\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# select the Flavor and Price columns\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# remove the Color column\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# sort by price\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# sort by price highest to loweset\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# select only the chocolate cones\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# We can combine mulitple method called. Let's drop the color and then sort by price\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example: NBA Salaries ##\n", + "\n", + "Let's look basketball (NBA) salaries from the 2015-2016 season. The data is originally from https://www.statcrunch.com/app/index.php?dataid=1843341\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# NBA players, 2015-2016 season\n", + "nba = Table.read_table('nba_salaries.csv').relabeled(3, 'SALARY')\n", + "\n", + "nba" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Let's get Stephen Curry's data\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Let's get data from the New York Knicks\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Columns of Tables are Arrays ##\n", + "\n", + "We can extract columns from a `Table` as either:\n", + "\n", + "- A new `Table` with fewer columns using `tb.select()`\n", + "- An `ndarray` using `tb.column()` " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# extract a column from a Tables as a Table" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# extract a column from a Tables as an ndarray\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Creating a Table from Scratch ##\n", + "\n", + "We can also create tables from scratch using the `Tables()` method and then adding columns to the table using the `tb.with_colum(\"col_name\", ndarray)` method. " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
" + ], + "text/plain": [] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['Crown', 'George', 'Orange', 'State'], dtype='\n", + " \n", + " \n", + " Street name\n", + " \n", + " \n", + " \n", + " \n", + " Crown \n", + " \n", + " \n", + " George \n", + " \n", + " \n", + " Orange \n", + " \n", + " \n", + " State \n", + " \n", + " \n", + "" + ], + "text/plain": [ + "Street name\n", + "Crown\n", + "George\n", + "Orange\n", + "State" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Street name Blocks away from campus
Crown 0
George 1
Orange 2
State 3
" + ], + "text/plain": [ + "Street name | Blocks away from campus\n", + "Crown | 0\n", + "George | 1\n", + "Orange | 2\n", + "State | 3" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# creates a new table with the specified column\n", + "southside.with_column('Blocks away from campus', np.arange(4))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Street name
Crown
George
Orange
State
" + ], + "text/plain": [ + "Street name\n", + "Crown\n", + "George\n", + "Orange\n", + "State" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "southside" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "southside = southside.with_column('Blocks away from campus', np.arange(4))" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Street name Blocks away from campus
Crown 0
George 1
Orange 2
State 3
" + ], + "text/plain": [ + "Street name | Blocks away from campus\n", + "Crown | 0\n", + "George | 1\n", + "Orange | 2\n", + "State | 3" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "southside" + ] + } + ], + "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": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/demos/lec05/lec05_sol.ipynb b/demos/lec05/lec05_sol.ipynb new file mode 100644 index 0000000..daa0402 --- /dev/null +++ b/demos/lec05/lec05_sol.ipynb @@ -0,0 +1,767 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from datascience import *\n", + "import numpy as np\n", + "\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as plots\n", + "plots.style.use('fivethirtyeight')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Arrays ##\n", + "\n", + "Arrays are a data structure that holds a sequence of values of the same type. For example, a squence of all numbers, or a squence of all strings, etc. \n", + "\n", + "We can use use the `make_array` function from the `datascience` package to create what are called `ndarray` that are array implemented by the `NumPy` package. One can perform a range of operations on these arrays in a very efficient manner. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "make_array(1, 2, 3, 4)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "my_array = make_array(5, 6, 7, 8)\n", + "my_array" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "len(my_array)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "sum(my_array)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "sum(my_array) / len(my_array)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "my_array" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "my_array * 2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "another_one = make_array(20, 30, 40, 50)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "my_array + another_one" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "yet_another = make_array(1, 2, 3, 4, 5, 6)\n", + "my_array + yet_another" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "my_array" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "my_array.item(0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ranges ##\n", + "\n", + "Range functions allow one to create arrays of ordered sequences of numbers. We can use the `np.arange()` function to create NumPy ndarrays. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 2, 3, 4])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(5)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,\n", + " 24])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(7, 25)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5, 15])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(5, 25, 10)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5, 15, 25])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(5, 26, 10)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5., 15., 25.])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(5, 25.01, 10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Tables ##\n", + "\n", + "Tables stored structured data. We can use the `datascience` package to create `Table` objects that we can perform data manipulation operations on (the `Table` object is a simplified version of a Pandas DataFrame). \n", + "\n", + "Some methods we can perform on `Table` objects are:\n", + "- `tb.show(k)`: show the first k rows of the table\n", + "- `tb.select('col1', 'col2')`: select `col1` and `col2` from the table\n", + "- `tb.drop('col')`: remove `col` from the table\n", + "- `tb.sort('col')`: sort the rows in the table based on the values in `col`\n", + "- `tb.where('col', value)`: reduce the table to rows where `col` is equal to `value` \n", + "\n", + "These methods all return Table objects that have been modified based on the methods that have been called. \n", + "\n", + "\n", + "Let's look at data on ice cream cones that is described in the class textbook. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Load the ice cream data. Each row represents one ice cream cone.\n", + "cones = Table.read_table('cones.csv')\n", + "cones" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "type(cones)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Show the first 2 rows of the data\n", + "cones.show(2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# select only the Flavor column\n", + "only_flavor = cones.select('Flavor')\n", + "only_flavor" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# the original cones Table is not modified\n", + "cones" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# select the Flavor and Price columns\n", + "cones.select('Flavor', 'Price')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# remove the Color column\n", + "no_color = cones.drop('Color')\n", + "no_color" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# sort by price\n", + "cones.sort('Price')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# sort by price highest to loweset\n", + "cones.sort('Price', descending=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# select only the chocolate cones\n", + "cones.where('Flavor', 'chocolate')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# We can combine mulitple method called. Let's drop the color and then sort by price\n", + "cones.drop('Color').sort('Price', descending=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example: NBA Salaries ##\n", + "\n", + "Let's look basketball (NBA) salaries from the 2015-2016 season. The data is originally from https://www.statcrunch.com/app/index.php?dataid=1843341\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# NBA players, 2015-2016 season\n", + "nba = Table.read_table('nba_salaries.csv').relabeled(3, 'SALARY')\n", + "\n", + "nba" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Let's get Stephen Curry's data\n", + "nba.where('PLAYER', 'Stephen Curry')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Let's get data from the New York Knicks\n", + "knicks = nba.where('TEAM', 'New York Knicks')\n", + "knicks.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Columns of Tables are Arrays ##\n", + "\n", + "We can extract columns from a `Table` as either:\n", + "\n", + "- A new `Table` with fewer columns using `tb.select()`\n", + "- An `ndarray` using `tb.column()` " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "cones.select('Price') # still a table" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "type(cones.select('Price'))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "cones.column('Price') # an array" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "type(cones.column('Price'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Creating a Table from Scratch ##\n", + "\n", + "We can also create tables from scratch using the `Tables()` method and then adding columns to the table using the `tb.with_colum(\"col_name\", ndarray)` method. " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
" + ], + "text/plain": [] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Table()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "streets = make_array('Crown', 'George', 'Orange', 'State')" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['Crown', 'George', 'Orange', 'State'], dtype='\n", + " \n", + " \n", + " Street name\n", + " \n", + " \n", + " \n", + " \n", + " Crown \n", + " \n", + " \n", + " George \n", + " \n", + " \n", + " Orange \n", + " \n", + " \n", + " State \n", + " \n", + " \n", + "" + ], + "text/plain": [ + "Street name\n", + "Crown\n", + "George\n", + "Orange\n", + "State" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Table().with_column('Street name', streets)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "southside = Table().with_column('Street name', streets)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Street name Blocks away from campus
Crown 0
George 1
Orange 2
State 3
" + ], + "text/plain": [ + "Street name | Blocks away from campus\n", + "Crown | 0\n", + "George | 1\n", + "Orange | 2\n", + "State | 3" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# creates a new table with the specified column\n", + "southside.with_column('Blocks away from campus', np.arange(4))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
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Street name Blocks away from campus
Crown 0
George 1
Orange 2
State 3
" + ], + "text/plain": [ + "Street name | Blocks away from campus\n", + "Crown | 0\n", + "George | 1\n", + "Orange | 2\n", + "State | 3" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "southside" + ] + } + ], + "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": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/demos/lec05/lecture_05_additional_material_sol.ipynb b/demos/lec05/lecture_05_additional_material_sol.ipynb new file mode 100644 index 0000000..90340cf --- /dev/null +++ b/demos/lec05/lecture_05_additional_material_sol.ipynb @@ -0,0 +1,1146 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from datascience import *\n", + "import numpy as np\n", + "\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as plots\n", + "plots.style.use('fivethirtyeight')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Reading a Table from a File ##\n", + "\n", + "More commonly, we create tables by reading data file (usually a comma separated value (.csv) file).\n", + "\n", + "Let's explore this by looking at data on the number of troops in Napoleon's army as they tried to invade Russia in 1812. This data was the data that was used by [Charles Joseph Minard](https://en.wikipedia.org/wiki/Charles_Joseph_Minard) to create his famous visualization of these events. Please see [Chapter 6](https://inferentialthinking.com/chapters/06/Tables.html) of the class texbook for more on this topic. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "minard = Table.read_table('minard.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Longitude Latitude City Direction Survivors
32 54.8 Smolensk Advance 145000
33.2 54.9 Dorogobouge Advance 140000
34.4 55.5 Chjat Advance 127100
37.6 55.8 Moscou Advance 100000
34.3 55.2 Wixma Retreat 55000
32 54.6 Smolensk Retreat 24000
30.4 54.4 Orscha Retreat 20000
26.8 54.3 Moiodexno Retreat 12000
" + ], + "text/plain": [ + "Longitude | Latitude | City | Direction | Survivors\n", + "32 | 54.8 | Smolensk | Advance | 145000\n", + "33.2 | 54.9 | Dorogobouge | Advance | 140000\n", + "34.4 | 55.5 | Chjat | Advance | 127100\n", + "37.6 | 55.8 | Moscou | Advance | 100000\n", + "34.3 | 55.2 | Wixma | Retreat | 55000\n", + "32 | 54.6 | Smolensk | Retreat | 24000\n", + "30.4 | 54.4 | Orscha | Retreat | 20000\n", + "26.8 | 54.3 | Moiodexno | Retreat | 12000" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "minard" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Selecting data in a column ##" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Survivors
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12000
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Longitude Latitude City Direction Survivors Percent surviving
32 54.8 Smolensk Advance 145000 1
33.2 54.9 Dorogobouge Advance 140000 0.965517
34.4 55.5 Chjat Advance 127100 0.876552
37.6 55.8 Moscou Advance 100000 0.689655
34.3 55.2 Wixma Retreat 55000 0.37931
32 54.6 Smolensk Retreat 24000 0.165517
30.4 54.4 Orscha Retreat 20000 0.137931
26.8 54.3 Moiodexno Retreat 12000 0.0827586
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Longitude Latitude City Direction Survivors Percent surviving
32 54.8 Smolensk Advance 145000 100.00%
33.2 54.9 Dorogobouge Advance 140000 96.55%
34.4 55.5 Chjat Advance 127100 87.66%
37.6 55.8 Moscou Advance 100000 68.97%
34.3 55.2 Wixma Retreat 55000 37.93%
32 54.6 Smolensk Retreat 24000 16.55%
30.4 54.4 Orscha Retreat 20000 13.79%
26.8 54.3 Moiodexno Retreat 12000 8.28%
" + ], + "text/plain": [ + "Longitude | Latitude | City | Direction | Survivors | Percent surviving\n", + "32 | 54.8 | Smolensk | Advance | 145000 | 100.00%\n", + "33.2 | 54.9 | Dorogobouge | Advance | 140000 | 96.55%\n", + "34.4 | 55.5 | Chjat | Advance | 127100 | 87.66%\n", + "37.6 | 55.8 | Moscou | Advance | 100000 | 68.97%\n", + "34.3 | 55.2 | Wixma | Retreat | 55000 | 37.93%\n", + "32 | 54.6 | Smolensk | Retreat | 24000 | 16.55%\n", + "30.4 | 54.4 | Orscha | Retreat | 20000 | 13.79%\n", + "26.8 | 54.3 | Moiodexno | Retreat | 12000 | 8.28%" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "minard.set_format('Percent surviving', PercentFormatter)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Working with Columns ##" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "movies = Table.read_table('movies_by_year_with_ticket_price.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Year Average Ticket Price Total Gross Number of Movies #1 Movie
2015 8.43 11128.5 702 Star Wars: The Force Awakens
2014 8.17 10360.8 702 American Sniper
2013 8.13 10923.6 688 Catching Fire
2012 7.96 10837.4 667 The Avengers
2011 7.93 10174.3 602 Harry Potter / Deathly Hallows (P2)
2010 7.89 10565.6 536 Toy Story 3
2009 7.5 10595.5 521 Avatar
2008 7.18 9630.7 608 The Dark Knight
2007 6.88 9663.8 631 Spider-Man 3
2006 6.55 9209.5 608 Dead Man's Chest
2005 6.41 8840.5 547 Revenge of the Sith
2004 6.21 9380.5 551 Shrek 2
2003 6.03 9239.7 506 Return of the King
2002 5.8 9155 479 Spider-Man
2001 5.65 8412.5 482 Harry Potter / Sorcerer's Stone
2000 5.39 7661 478 The Grinch
1999 5.06 7448 461 The Phantom Menace
1998 4.69 6949 509 Saving Private Ryan
1997 4.59 6365.9 510 Titanic
1996 4.42 5911.5 471 Independence Day
1995 4.35 5493.5 411 Toy Story
1994 4.08 5396.2 453 Forrest Gump
1993 4.14 5154.2 462 Jurassic Park
1992 4.15 4871 480 Aladdin
1991 4.21 4803.2 458 Terminator 2
1990 4.22 5021.8 410 Home Alone
1989 3.99 5033.4 502 Batman
1988 4.11 4458.4 510 Rain Man
1987 3.91 4252.9 509 Three Men and a Baby
1986 3.71 3778 451 Top Gun
1985 3.55 3749.2 470 Back to the Future
1984 3.36 4031 536 Beverly Hills Cop
1983 3.15 3766 495 Return of the Jedi
1982 2.94 3453 428 E.T.
1981 2.78 2966 173 Raiders / Lost Ark
1980 2.69 2749 161 The Empire Strikes Back
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Year Average Ticket Price Total Gross Number of Movies #1 Movie Number of tickets
2015 8.43 11128.5 702 Star Wars: The Force Awakens 1.32011e+09
2014 8.17 10360.8 702 American Sniper 1.26815e+09
2013 8.13 10923.6 688 Catching Fire 1.34362e+09
2012 7.96 10837.4 667 The Avengers 1.36148e+09
2011 7.93 10174.3 602 Harry Potter / Deathly Hallows (P2) 1.28301e+09
2010 7.89 10565.6 536 Toy Story 3 1.33911e+09
2009 7.5 10595.5 521 Avatar 1.41273e+09
2008 7.18 9630.7 608 The Dark Knight 1.34132e+09
2007 6.88 9663.8 631 Spider-Man 3 1.40462e+09
2006 6.55 9209.5 608 Dead Man's Chest 1.40603e+09
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... (26 rows omitted)

" + ], + "text/plain": [ + "Year | Average Ticket Price | Total Gross | Number of Movies | #1 Movie | Number of tickets\n", + "2015 | 8.43 | 11128.5 | 702 | Star Wars: The Force Awakens | 1.32011e+09\n", + "2014 | 8.17 | 10360.8 | 702 | American Sniper | 1.26815e+09\n", + "2013 | 8.13 | 10923.6 | 688 | Catching Fire | 1.34362e+09\n", + "2012 | 7.96 | 10837.4 | 667 | The Avengers | 1.36148e+09\n", + "2011 | 7.93 | 10174.3 | 602 | Harry Potter / Deathly Hallows (P2) | 1.28301e+09\n", + "2010 | 7.89 | 10565.6 | 536 | Toy Story 3 | 1.33911e+09\n", + "2009 | 7.5 | 10595.5 | 521 | Avatar | 1.41273e+09\n", + "2008 | 7.18 | 9630.7 | 608 | The Dark Knight | 1.34132e+09\n", + "2007 | 6.88 | 9663.8 | 631 | Spider-Man 3 | 1.40462e+09\n", + "2006 | 6.55 | 9209.5 | 608 | Dead Man's Chest | 1.40603e+09\n", + "... (26 rows omitted)" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "movies" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Year Average Ticket Price Total Gross Number of Movies #1 Movie Number of tickets
2015 8.43 11128.5 702 Star Wars: The Force Awakens 1,320,106,761.57
2014 8.17 10360.8 702 American Sniper 1,268,151,774.79
2013 8.13 10923.6 688 Catching Fire 1,343,616,236.16
2012 7.96 10837.4 667 The Avengers 1,361,482,412.06
2011 7.93 10174.3 602 Harry Potter / Deathly Hallows (P2) 1,283,013,871.37
2010 7.89 10565.6 536 Toy Story 3 1,339,112,801.01
2009 7.5 10595.5 521 Avatar 1,412,733,333.33
2008 7.18 9630.7 608 The Dark Knight 1,341,323,119.78
2007 6.88 9663.8 631 Spider-Man 3 1,404,622,093.02
2006 6.55 9209.5 608 Dead Man's Chest 1,406,030,534.35
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... (26 rows omitted)

" + ], + "text/plain": [ + "Year | Average Ticket Price | Total Gross | Number of Movies | #1 Movie | Number of tickets\n", + "2015 | 8.43 | 11128.5 | 702 | Star Wars: The Force Awakens | 1,320,106,761.57\n", + "2014 | 8.17 | 10360.8 | 702 | American Sniper | 1,268,151,774.79\n", + "2013 | 8.13 | 10923.6 | 688 | Catching Fire | 1,343,616,236.16\n", + "2012 | 7.96 | 10837.4 | 667 | The Avengers | 1,361,482,412.06\n", + "2011 | 7.93 | 10174.3 | 602 | Harry Potter / Deathly Hallows (P2) | 1,283,013,871.37\n", + "2010 | 7.89 | 10565.6 | 536 | Toy Story 3 | 1,339,112,801.01\n", + "2009 | 7.5 | 10595.5 | 521 | Avatar | 1,412,733,333.33\n", + "2008 | 7.18 | 9630.7 | 608 | The Dark Knight | 1,341,323,119.78\n", + "2007 | 6.88 | 9663.8 | 631 | Spider-Man 3 | 1,404,622,093.02\n", + "2006 | 6.55 | 9209.5 | 608 | Dead Man's Chest | 1,406,030,534.35\n", + "... (26 rows omitted)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "movies.set_format(5, NumberFormatter)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Year Average Ticket Price Total Gross Number of Movies #1 Movie Number of tickets
2004 6.21 9380.5 551 Shrek 2 1,510,547,504.03
2003 6.03 9239.7 506 Return of the King 1,532,288,557.21
2002 5.8 9155 479 Spider-Man 1,578,448,275.86
2001 5.65 8412.5 482 Harry Potter / Sorcerer's Stone 1,488,938,053.10
2000 5.39 7661 478 The Grinch 1,421,335,807.05
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Year Average Ticket Price Total Gross Number of Movies #1 Movie Number of tickets
2009 7.5 10595.5 521 Avatar 1,412,733,333.33
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Year Average Ticket Price Total Gross Number of Movies #1 Movie Number of tickets
2009 7.5 10595.5 521 Avatar 1,412,733,333.33
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Year Average Ticket Price Total Gross Number of Movies #1 Movie Number of tickets
2011 7.93 10174.3 602 Harry Potter / Deathly Hallows (P2) 1,283,013,871.37
2001 5.65 8412.5 482 Harry Potter / Sorcerer's Stone 1,488,938,053.10
" + ], + "text/plain": [ + "Year | Average Ticket Price | Total Gross | Number of Movies | #1 Movie | Number of tickets\n", + "2011 | 7.93 | 10174.3 | 602 | Harry Potter / Deathly Hallows (P2) | 1,283,013,871.37\n", + "2001 | 5.65 | 8412.5 | 482 | Harry Potter / Sorcerer's Stone | 1,488,938,053.10" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "movies.where('#1 Movie', are.containing('Harry Potter'))" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Year Average Ticket Price Total Gross Number of Movies #1 Movie Number of tickets
1995 4.35 5493.5 411 Toy Story 1,262,873,563.22
1990 4.22 5021.8 410 Home Alone 1,190,000,000.00
1982 2.94 3453 428 E.T. 1,174,489,795.92
1981 2.78 2966 173 Raiders / Lost Ark 1,066,906,474.82
1980 2.69 2749 161 The Empire Strikes Back 1,021,933,085.50
" + ], + "text/plain": [ + "Year | Average Ticket Price | Total Gross | Number of Movies | #1 Movie | Number of tickets\n", + "1995 | 4.35 | 5493.5 | 411 | Toy Story | 1,262,873,563.22\n", + "1990 | 4.22 | 5021.8 | 410 | Home Alone | 1,190,000,000.00\n", + "1982 | 2.94 | 3453 | 428 | E.T. | 1,174,489,795.92\n", + "1981 | 2.78 | 2966 | 173 | Raiders / Lost Ark | 1,066,906,474.82\n", + "1980 | 2.69 | 2749 | 161 | The Empire Strikes Back | 1,021,933,085.50" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "movies.where('Number of Movies', are.below(450))" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Year Average Ticket Price Total Gross Number of Movies #1 Movie Number of tickets
2015 8.43 11128.5 702 Star Wars: The Force Awakens 1,320,106,761.57
2014 8.17 10360.8 702 American Sniper 1,268,151,774.79
2013 8.13 10923.6 688 Catching Fire 1,343,616,236.16
2012 7.96 10837.4 667 The Avengers 1,361,482,412.06
2011 7.93 10174.3 602 Harry Potter / Deathly Hallows (P2) 1,283,013,871.37
" + ], + "text/plain": [ + "Year | Average Ticket Price | Total Gross | Number of Movies | #1 Movie | Number of tickets\n", + "2015 | 8.43 | 11128.5 | 702 | Star Wars: The Force Awakens | 1,320,106,761.57\n", + "2014 | 8.17 | 10360.8 | 702 | American Sniper | 1,268,151,774.79\n", + "2013 | 8.13 | 10923.6 | 688 | Catching Fire | 1,343,616,236.16\n", + "2012 | 7.96 | 10837.4 | 667 | The Avengers | 1,361,482,412.06\n", + "2011 | 7.93 | 10174.3 | 602 | Harry Potter / Deathly Hallows (P2) | 1,283,013,871.37" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "movies.where('Year', are.above(2010))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Year Average Ticket Price Total Gross Number of Movies #1 Movie Number of tickets
2012 7.96 10837.4 667 The Avengers 1,361,482,412.06
" + ], + "text/plain": [ + "Year | Average Ticket Price | Total Gross | Number of Movies | #1 Movie | Number of tickets\n", + "2012 | 7.96 | 10837.4 | 667 | The Avengers | 1,361,482,412.06" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "movies.take(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Year Average Ticket Price Total Gross Number of Movies #1 Movie Number of tickets
2015 8.43 11128.5 702 Star Wars: The Force Awakens 1,320,106,761.57
2014 8.17 10360.8 702 American Sniper 1,268,151,774.79
2013 8.13 10923.6 688 Catching Fire 1,343,616,236.16
2012 7.96 10837.4 667 The Avengers 1,361,482,412.06
" + ], + "text/plain": [ + "Year | Average Ticket Price | Total Gross | Number of Movies | #1 Movie | Number of tickets\n", + "2015 | 8.43 | 11128.5 | 702 | Star Wars: The Force Awakens | 1,320,106,761.57\n", + "2014 | 8.17 | 10360.8 | 702 | American Sniper | 1,268,151,774.79\n", + "2013 | 8.13 | 10923.6 | 688 | Catching Fire | 1,343,616,236.16\n", + "2012 | 7.96 | 10837.4 | 667 | The Avengers | 1,361,482,412.06" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "movies.take(np.arange(4))" + ] + } + ], + "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": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/demos/lec05/minard.csv b/demos/lec05/minard.csv new file mode 100644 index 0000000..03920b7 --- /dev/null +++ b/demos/lec05/minard.csv @@ -0,0 +1,9 @@ +Longitude,Latitude,City,Direction,Survivors +32,54.8,Smolensk,Advance,145000 +33.2,54.9,Dorogobouge,Advance,140000 +34.4,55.5,Chjat,Advance,127100 +37.6,55.8,Moscou,Advance,100000 +34.3,55.2,Wixma,Retreat,55000 +32,54.6,Smolensk,Retreat,24000 +30.4,54.4,Orscha,Retreat,20000 +26.8,54.3,Moiodexno,Retreat,12000 \ No newline at end of file diff --git a/demos/lec05/movies_by_year.csv b/demos/lec05/movies_by_year.csv new file mode 100644 index 0000000..51618f4 --- /dev/null +++ b/demos/lec05/movies_by_year.csv @@ -0,0 +1 @@ +Year,Total Gross,Number of Movies,#1 Movie 2015,11128.5,702,Star Wars: The Force Awakens 2014,10360.8,702,American Sniper 2013,10923.6,688,Catching Fire 2012,10837.4,667,The Avengers 2011,10174.3,602,Harry Potter / Deathly Hallows (P2) 2010,10565.6,536,Toy Story 3 2009,10595.5,521,Avatar 2008,9630.7,608,The Dark Knight 2007,9663.8,631,Spider-Man 3 2006,9209.5,608,Dead Man's Chest 2005,8840.5,547,Revenge of the Sith 2004,9380.5,551,Shrek 2 2003,9239.7,506,Return of the King 2002,9155,479,Spider-Man 2001,8412.5,482,Harry Potter / Sorcerer's Stone 2000,7661,478,The Grinch 1999,7448,461,The Phantom Menace 1998,6949,509,Saving Private Ryan 1997,6365.9,510,Titanic 1996,5911.5,471,Independence Day 1995,5493.5,411,Toy Story 1994,5396.2,453,Forrest Gump 1993,5154.2,462,Jurassic Park 1992,4871,480,Aladdin 1991,4803.2,458,Terminator 2 1990,5021.8,410,Home Alone 1989,5033.4,502,Batman 1988,4458.4,510,Rain Man 1987,4252.9,509,Three Men and a Baby 1986,3778,451,Top Gun 1985,3749.2,470,Back to the Future 1984,4031,536,Beverly Hills Cop 1983,3766,495,Return of the Jedi 1982,3453,428,E.T. 1981,2966,173,Raiders / Lost Ark 1980,2749,161,The Empire Strikes Back \ No newline at end of file diff --git a/demos/lec05/movies_by_year_with_ticket_price.csv b/demos/lec05/movies_by_year_with_ticket_price.csv new file mode 100644 index 0000000..b2b1126 --- /dev/null +++ b/demos/lec05/movies_by_year_with_ticket_price.csv @@ -0,0 +1,37 @@ +Year,Average Ticket Price,Total Gross,Number of Movies,#1 Movie +2015,8.43,11128.5,702,Star Wars: The Force Awakens +2014,8.17,10360.8,702,American Sniper +2013,8.13,10923.6,688,Catching Fire +2012,7.96,10837.4,667,The Avengers +2011,7.93,10174.3,602,Harry Potter / Deathly Hallows (P2) +2010,7.89,10565.6,536,Toy Story 3 +2009,7.5,10595.5,521,Avatar +2008,7.18,9630.7,608,The Dark Knight +2007,6.88,9663.8,631,Spider-Man 3 +2006,6.55,9209.5,608,Dead Man's Chest +2005,6.41,8840.5,547,Revenge of the Sith +2004,6.21,9380.5,551,Shrek 2 +2003,6.03,9239.7,506,Return of the King +2002,5.8,9155.0,479,Spider-Man +2001,5.65,8412.5,482,Harry Potter / Sorcerer's Stone +2000,5.39,7661.0,478,The Grinch +1999,5.06,7448.0,461,The Phantom Menace +1998,4.69,6949.0,509,Saving Private Ryan +1997,4.59,6365.9,510,Titanic +1996,4.42,5911.5,471,Independence Day +1995,4.35,5493.5,411,Toy Story +1994,4.08,5396.2,453,Forrest Gump +1993,4.14,5154.2,462,Jurassic Park +1992,4.15,4871.0,480,Aladdin +1991,4.21,4803.2,458,Terminator 2 +1990,4.22,5021.8,410,Home Alone +1989,3.99,5033.4,502,Batman +1988,4.11,4458.4,510,Rain Man +1987,3.91,4252.9,509,Three Men and a Baby +1986,3.71,3778.0,451,Top Gun +1985,3.55,3749.2,470,Back to the Future +1984,3.36,4031.0,536,Beverly Hills Cop +1983,3.15,3766.0,495,Return of the Jedi +1982,2.94,3453.0,428,E.T. +1981,2.78,2966.0,173,Raiders / Lost Ark +1980,2.69,2749.0,161,The Empire Strikes Back diff --git a/demos/lec05/nba_salaries.csv b/demos/lec05/nba_salaries.csv new file mode 100644 index 0000000..351c80a --- /dev/null +++ b/demos/lec05/nba_salaries.csv @@ -0,0 +1,418 @@ +PLAYER,POSITION,TEAM,'15-'16 SALARY +Paul Millsap,PF,Atlanta Hawks,18.671659 +Al Horford,C,Atlanta Hawks,12.0 +Tiago Splitter,C,Atlanta Hawks,9.75625 +Jeff Teague,PG,Atlanta Hawks,8.0 +Kyle Korver,SG,Atlanta Hawks,5.746479 +Thabo Sefolosha,SF,Atlanta Hawks,4.0 +Mike Scott,PF,Atlanta Hawks,3.333333 +Kent Bazemore,SF,Atlanta Hawks,2.0 +Dennis Schroder,PG,Atlanta Hawks,1.7634 +Tim Hardaway Jr.,SG,Atlanta Hawks,1.3045200000000001 +Walter Tavares,C,Atlanta Hawks,1.0 +Jason Richardson,SG,Atlanta Hawks,0.947276 +Lamar Patterson,SG,Atlanta Hawks,0.525093 +Terran Petteway,SG,Atlanta Hawks,0.525093 +Avery Bradley,PG,Boston Celtics,7.730337 +Isaiah Thomas,PG,Boston Celtics,6.912869000000001 +Jae Crowder,SF,Boston Celtics,6.796117 +Jonas Jerebko,PF,Boston Celtics,5.0 +Marcus Smart,PG,Boston Celtics,3.4310400000000003 +Evan Turner,SG,Boston Celtics,3.42551 +Tyler Zeller,C,Boston Celtics,2.616975 +Jared Sullinger,C,Boston Celtics,2.56926 +Kelly Olynyk,C,Boston Celtics,2.1651599999999998 +Perry Jones,SF,Boston Celtics,2.038206 +Terry Rozier,PG,Boston Celtics,1.8243599999999998 +James Young,SG,Boston Celtics,1.74984 +Zoran Dragic,SG,Boston Celtics,1.706225 +Jordan Mickey,PF,Boston Celtics,1.17096 +R.J. Hunter,SG,Boston Celtics,1.1486399999999999 +Joe Johnson,SF,Brooklyn Nets,24.894863 +Thaddeus Young,PF,Brooklyn Nets,11.235955 +Jarrett Jack,PG,Brooklyn Nets,6.3 +Bojan Bogdanovic,SG,Brooklyn Nets,3.42551 +Sergey Karasev,SG,Brooklyn Nets,1.59984 +Wayne Ellington,SG,Brooklyn Nets,1.5 +Shane Larkin,PG,Brooklyn Nets,1.5 +Andrea Bargnani,C,Brooklyn Nets,1.362897 +Rondae Hollis-Jefferson,SG,Brooklyn Nets,1.33548 +Earl Clark,SF,Brooklyn Nets,1.185784 +Chris McCullough,PF,Brooklyn Nets,1.14024 +Thomas Robinson,PF,Brooklyn Nets,0.981348 +Markel Brown,SG,Brooklyn Nets,0.845059 +Al Jefferson,C,Charlotte Hornets,13.5 +Nicolas Batum,SG,Charlotte Hornets,13.125306 +Kemba Walker,PG,Charlotte Hornets,12.0 +Marvin Williams,PF,Charlotte Hornets,7.0 +Michael Kidd-Gilchrist,SF,Charlotte Hornets,6.331404 +Spencer Hawes,PF,Charlotte Hornets,6.110034 +Courtney Lee,SG,Charlotte Hornets,5.675 +Cody Zeller,C,Charlotte Hornets,4.2042 +Jeremy Lamb,SG,Charlotte Hornets,3.0343560000000003 +Brian Roberts,PG,Charlotte Hornets,2.85494 +Frank Kaminsky III,C,Charlotte Hornets,2.61252 +Jeremy Lin,PG,Charlotte Hornets,2.1390000000000002 +P.J. Hairston,SF,Charlotte Hornets,1.20144 +Damien Wilkins,SG,Charlotte Hornets,0.947276 +Jorge Gutierrez,PG,Charlotte Hornets,0.947276 +Tyler Hansbrough,PF,Charlotte Hornets,0.947276 +Troy Daniels,SG,Charlotte Hornets,0.947276 +Aaron Harrison,SG,Charlotte Hornets,0.525093 +Derrick Rose,PG,Chicago Bulls,20.093064000000002 +Jimmy Butler,SG,Chicago Bulls,16.4075 +Joakim Noah,C,Chicago Bulls,13.4 +Pau Gasol,C,Chicago Bulls,7.448760000000001 +Nikola Mirotic,PF,Chicago Bulls,5.543725 +Mike Dunleavy,SG,Chicago Bulls,4.5 +Kirk Hinrich,SG,Chicago Bulls,2.85494 +Doug McDermott,SF,Chicago Bulls,2.38044 +Aaron Brooks,PG,Chicago Bulls,2.25 +Tony Snell,SF,Chicago Bulls,1.53588 +Bobby Portis,PF,Chicago Bulls,1.39116 +E'Twaun Moore,SG,Chicago Bulls,1.015421 +LeBron James,SF,Cleveland Cavaliers,22.9705 +Kevin Love,PF,Cleveland Cavaliers,19.689 +Kyrie Irving,PG,Cleveland Cavaliers,16.407501 +Tristan Thompson,C,Cleveland Cavaliers,14.26087 +Brendan Haywood,C,Cleveland Cavaliers,10.5225 +Iman Shumpert,SG,Cleveland Cavaliers,8.988764999999999 +Timofey Mozgov,C,Cleveland Cavaliers,4.95 +Mo Williams,PG,Cleveland Cavaliers,2.1 +Sasha Kaun,C,Cleveland Cavaliers,1.276 +Matthew Dellavedova,PG,Cleveland Cavaliers,1.147276 +David Lee,PF,Dallas Mavericks,15.49368 +Chandler Parsons,SF,Dallas Mavericks,15.3615 +Dirk Nowitzki,PF,Dallas Mavericks,8.333333999999999 +Deron Williams,PG,Dallas Mavericks,5.3789739999999995 +Zaza Pachulia,C,Dallas Mavericks,5.2 +J.J. Barea,PG,Dallas Mavericks,4.29 +Devin Harris,PG,Dallas Mavericks,4.053446 +Raymond Felton,PG,Dallas Mavericks,3.9503129999999995 +Justin Anderson,SG,Dallas Mavericks,1.449 +JaVale McGee,C,Dallas Mavericks,1.270964 +John Jenkins,SG,Dallas Mavericks,0.981348 +Danilo Gallinari,SF,Denver Nuggets,14.0 +Kenneth Faried,PF,Denver Nuggets,11.235955 +Wilson Chandler,SF,Denver Nuggets,10.449438 +JJ Hickson,C,Denver Nuggets,5.6135 +Jameer Nelson,PG,Denver Nuggets,4.345 +Will Barton,SF,Denver Nuggets,3.5333330000000003 +Emmanuel Mudiay,PG,Denver Nuggets,3.10224 +Darrell Arthur,PF,Denver Nuggets,2.8139999999999996 +Jusuf Nurkic,C,Denver Nuggets,1.8419999999999999 +Joffrey Lauvergne,C,Denver Nuggets,1.7097189999999998 +Gary Harris,SG,Denver Nuggets,1.5844799999999999 +Nikola Jokic,C,Denver Nuggets,1.3 +Kostas Papanikolaou,SF,Denver Nuggets,0.800321 +Sean Kilpatrick,SG,Denver Nuggets,0.09941799999999999 +Reggie Jackson,PG,Detroit Pistons,13.913044000000001 +Aron Baynes,C,Detroit Pistons,6.5 +Jodie Meeks,SG,Detroit Pistons,6.27 +Andre Drummond,C,Detroit Pistons,3.272091 +Kentavious Caldwell-Pope,SG,Detroit Pistons,2.8917599999999997 +Stanley Johnson,SF,Detroit Pistons,2.84196 +Joel Anthony,C,Detroit Pistons,2.5 +Danny Granger,SF,Detroit Pistons,2.170465 +Reggie Bullock,SF,Detroit Pistons,1.25244 +Darrun Hilliard,SF,Detroit Pistons,0.6 +Klay Thompson,SG,Golden State Warriors,15.501 +Draymond Green,PF,Golden State Warriors,14.26087 +Andrew Bogut,C,Golden State Warriors,13.8 +Andre Iguodala,SF,Golden State Warriors,11.710456 +Stephen Curry,PG,Golden State Warriors,11.370786 +Jason Thompson,PF,Golden State Warriors,7.008475 +Shaun Livingston,PG,Golden State Warriors,5.543725 +Harrison Barnes,SF,Golden State Warriors,3.8733980000000003 +Marreese Speights,C,Golden State Warriors,3.815 +Leandro Barbosa,SG,Golden State Warriors,2.5 +Festus Ezeli,C,Golden State Warriors,2.0087479999999998 +Brandon Rush,SF,Golden State Warriors,1.270964 +Kevon Looney,SF,Golden State Warriors,1.13196 +Anderson Varejao,PF,Golden State Warriors,0.28975500000000004 +Dwight Howard,C,Houston Rockets,22.359364000000003 +James Harden,SG,Houston Rockets,15.756438000000001 +Ty Lawson,PG,Houston Rockets,12.404494999999999 +Corey Brewer,SG,Houston Rockets,8.229375 +Trevor Ariza,SF,Houston Rockets,8.19303 +Patrick Beverley,PG,Houston Rockets,6.486486 +K.J. McDaniels,SG,Houston Rockets,3.189794 +Terrence Jones,PF,Houston Rockets,2.48953 +Donatas Motiejunas,PF,Houston Rockets,2.288205 +Sam Dekker,SF,Houston Rockets,1.6464 +Clint Capela,PF,Houston Rockets,1.24272 +Montrezl Harrell,PF,Houston Rockets,1.0 +Paul George,SF,Indiana Pacers,17.120106 +Monta Ellis,SG,Indiana Pacers,10.3 +Rodney Stuckey,PG,Indiana Pacers,7.0 +Chase Budinger,SF,Indiana Pacers,5.0 +C.J. Miles,SF,Indiana Pacers,4.394225 +Lavoy Allen,PF,Indiana Pacers,4.05 +Jordan Hill,C,Indiana Pacers,4.0 +Ian Mahinmi,C,Indiana Pacers,4.0 +Myles Turner,PF,Indiana Pacers,2.35776 +Solomon Hill,SF,Indiana Pacers,1.3588799999999999 +Glenn Robinson III,SG,Indiana Pacers,1.1 +Rakeem Christmas,PF,Indiana Pacers,1.007026 +Joe Young,PG,Indiana Pacers,1.007026 +Chris Paul,PG,Los Angeles Clippers,21.468695 +Blake Griffin,PF,Los Angeles Clippers,18.907726 +J.J. Redick,SG,Los Angeles Clippers,7.085 +Jamal Crawford,SG,Los Angeles Clippers,5.675 +Paul Pierce,SF,Los Angeles Clippers,3.3760000000000003 +Austin Rivers,PG,Los Angeles Clippers,3.110796 +C.J. Wilcox,SG,Los Angeles Clippers,1.1596799999999998 +Cole Aldrich,C,Los Angeles Clippers,1.100602 +Wesley Johnson,SF,Los Angeles Clippers,1.100602 +Jordan Hamilton,SG,Los Angeles Clippers,1.015421 +Lester Hudson,SG,Los Angeles Clippers,1.015421 +Pablo Prigioni,PG,Los Angeles Clippers,0.9477260000000001 +Jeff Ayres,PF,Los Angeles Clippers,0.111444 +Kobe Bryant,SF,Los Angeles Lakers,25.0 +Roy Hibbert,C,Los Angeles Lakers,15.592217000000002 +Louis Williams,SG,Los Angeles Lakers,7.0 +Nick Young,SF,Los Angeles Lakers,5.219169 +D'Angelo Russell,PG,Los Angeles Lakers,5.10312 +Julius Randle,PF,Los Angeles Lakers,3.1322400000000004 +Brandon Bass,PF,Los Angeles Lakers,3.0 +Ryan Kelly,PF,Los Angeles Lakers,1.72425 +Larry Nance Jr.,PF,Los Angeles Lakers,1.1556 +Robert Sacre,C,Los Angeles Lakers,0.981348 +Anthony Brown,SF,Los Angeles Lakers,0.7 +Marc Gasol,C,Memphis Grizzlies,19.688 +Zach Randolph,PF,Memphis Grizzlies,9.638555 +Mike Conley,PG,Memphis Grizzlies,9.588426 +Jeff Green,SF,Memphis Grizzlies,9.45 +Lance Stephenson,SF,Memphis Grizzlies,9.0 +Brandan Wright,PF,Memphis Grizzlies,5.4639999999999995 +Tony Allen,SG,Memphis Grizzlies,5.158539 +Chris Andersen,PF,Memphis Grizzlies,5.0 +Mario Chalmers,PG,Memphis Grizzlies,4.3 +Vince Carter,SG,Memphis Grizzlies,4.088019 +Matt Barnes,SF,Memphis Grizzlies,3.5425 +Beno Udrih,PG,Memphis Grizzlies,2.170465 +Jordan Adams,SG,Memphis Grizzlies,1.4046 +Jarell Martin,PF,Memphis Grizzlies,1.23084 +JaMychal Green,PF,Memphis Grizzlies,0.845059 +Russ Smith,PG,Memphis Grizzlies,0.845059 +James Ennis,SF,Memphis Grizzlies,0.845059 +Jarnell Stokes,PF,Memphis Grizzlies,0.845059 +Jarrid Famous,PF,Memphis Grizzlies,0.525093 +Ryan Hollins,C,Memphis Grizzlies,0.111444 +Elliot Williams,SG,Memphis Grizzlies,0.055722 +Chris Bosh,PF,Miami Heat,22.192729999999997 +Dwyane Wade,SG,Miami Heat,20.0 +Goran Dragic,PG,Miami Heat,14.783 +Luol Deng,SF,Miami Heat,10.151612 +Josh McRoberts,PF,Miami Heat,5.543725 +Udonis Haslem,PF,Miami Heat,2.85494 +Justise Winslow,SF,Miami Heat,2.48172 +Henry Walker,SF,Miami Heat,1.100602 +Tyler Johnson,SG,Miami Heat,0.845059 +Greg Whittington,SF,Miami Heat,0.525093 +Josh Richardson,SG,Miami Heat,0.525093 +Corey Hawkins,PG,Miami Heat,0.525093 +Khris Middleton,SG,Milwaukee Bucks,14.7 +O.J. Mayo,SG,Milwaukee Bucks,8.0 +Greivis Vasquez,PG,Milwaukee Bucks,6.6 +Jabari Parker,PF,Milwaukee Bucks,5.15244 +Jerryd Bayless,PG,Milwaukee Bucks,3.0 +John Henson,PF,Milwaukee Bucks,2.943221 +Michael Carter-Williams,PG,Milwaukee Bucks,2.3990400000000003 +Miles Plumlee,C,Milwaukee Bucks,2.109294 +Giannis Antetokounmpo,SF,Milwaukee Bucks,1.95396 +Rashad Vaughn,SG,Milwaukee Bucks,1.7330400000000001 +Tyler Ennis,PG,Milwaukee Bucks,1.6623599999999998 +Chris Copeland,SF,Milwaukee Bucks,1.15 +Damien Inglis,SF,Milwaukee Bucks,0.855 +Ricky Rubio,PG,Minnesota Timberwolves,12.7 +Nikola Pekovic,C,Minnesota Timberwolves,12.1 +Kevin Garnett,PF,Minnesota Timberwolves,8.5 +Kevin Martin,SG,Minnesota Timberwolves,7.085 +Andrew Wiggins,SG,Minnesota Timberwolves,5.75868 +Karl-Anthony Towns,C,Minnesota Timberwolves,5.7036 +Nemanja Bjelica,PF,Minnesota Timberwolves,3.9500010000000003 +Zach LaVine,PG,Minnesota Timberwolves,2.14836 +Shabazz Muhammad,SF,Minnesota Timberwolves,2.05692 +Adreian Payne,PF,Minnesota Timberwolves,1.9388400000000001 +Gorgui Dieng,C,Minnesota Timberwolves,1.47444 +Tyus Jones,PG,Minnesota Timberwolves,1.2820799999999999 +Damjan Rudez,SF,Minnesota Timberwolves,1.1495 +Eric Gordon,SG,New Orleans Pelicans,15.514031 +Tyreke Evans,SG,New Orleans Pelicans,10.734586 +Jrue Holiday,PG,New Orleans Pelicans,10.595507000000001 +Omer Asik,C,New Orleans Pelicans,9.213483 +Ryan Anderson,PF,New Orleans Pelicans,8.5 +Anthony Davis,PF,New Orleans Pelicans,7.07073 +Alexis Ajinca,C,New Orleans Pelicans,4.389607 +Quincy Pondexter,SF,New Orleans Pelicans,3.3820230000000002 +Norris Cole,PG,New Orleans Pelicans,3.036927 +Dante Cunningham,PF,New Orleans Pelicans,2.85 +Alonzo Gee,SF,New Orleans Pelicans,1.32 +Toney Douglas,PG,New Orleans Pelicans,1.164858 +Luke Babbitt,SF,New Orleans Pelicans,1.100602 +Kendrick Perkins,C,New Orleans Pelicans,0.947276 +Bo McCalebb,PG,New Orleans Pelicans,0.525093 +Bryce Dejean-Jones,SG,New Orleans Pelicans,0.169883 +Carmelo Anthony,SF,New York Knicks,22.875 +Robin Lopez,C,New York Knicks,12.65 +Arron Afflalo,SG,New York Knicks,8.0 +Jose Calderon,PG,New York Knicks,7.402812 +Kristaps Porzingis,PF,New York Knicks,4.13172 +Derrick Williams,PF,New York Knicks,4.0 +Kyle O'Quinn,PF,New York Knicks,3.75 +Lance Thomas,SF,New York Knicks,1.636842 +Lou Amundson,PF,New York Knicks,1.635476 +Jerian Grant,PG,New York Knicks,1.57236 +Jimmer Fredette,PG,New York Knicks,0.8748370000000001 +Langston Galloway,SG,New York Knicks,0.845059 +Thanasis Antetokounmpo,SF,New York Knicks,0.030888 +Kevin Durant,SF,Oklahoma City Thunder,20.158622 +Russell Westbrook,PG,Oklahoma City Thunder,16.744218 +Enes Kanter,C,Oklahoma City Thunder,16.4075 +Serge Ibaka,PF,Oklahoma City Thunder,12.25 +Dion Waiters,SG,Oklahoma City Thunder,5.1384300000000005 +Kyle Singler,SF,Oklahoma City Thunder,4.5 +Nick Collison,PF,Oklahoma City Thunder,3.75 +Anthony Morrow,SG,Oklahoma City Thunder,3.344 +Randy Foye,SG,Oklahoma City Thunder,3.135 +D.J. Augustin,PG,Oklahoma City Thunder,3.0 +Steven Adams,C,Oklahoma City Thunder,2.27904 +Cameron Payne,PG,Oklahoma City Thunder,2.02152 +Mitch McGary,PF,Oklahoma City Thunder,1.46304 +Andre Roberson,SG,Oklahoma City Thunder,1.2108 +Josh Huestis,SF,Oklahoma City Thunder,1.14024 +Steve Novak,SF,Oklahoma City Thunder,0.28975500000000004 +Tobias Harris,SF,Orlando Magic,16.0 +Nikola Vucevic,C,Orlando Magic,11.25 +Brandon Jennings,PG,Orlando Magic,8.344497 +Channing Frye,PF,Orlando Magic,8.193029 +Ersan Ilyasova,PF,Orlando Magic,7.9 +Victor Oladipo,SG,Orlando Magic,5.19252 +Jason Smith,PF,Orlando Magic,4.3 +Aaron Gordon,PF,Orlando Magic,4.17168 +Mario Hezonja,SG,Orlando Magic,3.74148 +Elfrid Payton,PG,Orlando Magic,2.50572 +Andrew Nicholson,PF,Orlando Magic,2.380593 +Evan Fournier,SG,Orlando Magic,2.288205 +Shabazz Napier,PG,Orlando Magic,1.29444 +Keith Appling,PG,Orlando Magic,0.061776 +Gerald Wallace,SF,Philadelphia 76ers,10.105855 +Carl Landry,PF,Philadelphia 76ers,6.5 +Joel Embiid,C,Philadelphia 76ers,4.6269599999999995 +Jahlil Okafor,C,Philadelphia 76ers,4.58268 +Nerlens Noel,PF,Philadelphia 76ers,3.4578 +Nik Stauskas,SG,Philadelphia 76ers,2.86944 +Furkan Aldemir,PF,Philadelphia 76ers,2.836768 +Tony Wroten,SG,Philadelphia 76ers,2.179353 +Kendall Marshall,PG,Philadelphia 76ers,2.144772 +Richaun Holmes,PF,Philadelphia 76ers,1.0741690000000002 +Robert Covington,SF,Philadelphia 76ers,1.0 +Jerami Grant,SF,Philadelphia 76ers,0.845059 +JaKarr Sampson,SG,Philadelphia 76ers,0.25848899999999997 +Eric Bledsoe,PG,Phoenix Suns,13.5 +Tyson Chandler,C,Phoenix Suns,13.0 +Mirza Teletovic,PF,Phoenix Suns,5.5 +P.J. Tucker,SF,Phoenix Suns,5.5 +Alex Len,C,Phoenix Suns,3.80712 +Devin Booker,SG,Phoenix Suns,2.12784 +T.J. Warren,SF,Phoenix Suns,2.04108 +Archie Goodwin,SG,Phoenix Suns,1.16016 +Jon Leuer,PF,Phoenix Suns,1.035 +Jerel McNeal,SG,Phoenix Suns,0.981348 +Terrico White,SG,Phoenix Suns,0.845059 +Bryce Cotton,PG,Phoenix Suns,0.700902 +Lorenzo Brown,PG,Phoenix Suns,0.111444 +Orlando Johnson,SG,Phoenix Suns,0.055722 +Phil Pressey,PG,Phoenix Suns,0.055722 +Jordan McRae,SG,Phoenix Suns,0.049708999999999996 +Cory Jefferson,PF,Phoenix Suns,0.049708999999999996 +Al-Farouq Aminu,SF,Portland Trail Blazers,8.042895 +Ed Davis,C,Portland Trail Blazers,6.980802000000001 +Gerald Henderson,SG,Portland Trail Blazers,6.0 +Chris Kaman,C,Portland Trail Blazers,5.016 +Damian Lillard,PG,Portland Trail Blazers,4.236287 +Meyers Leonard,PF,Portland Trail Blazers,3.0758799999999997 +Maurice Harkless,SF,Portland Trail Blazers,2.894059 +Noah Vonleh,PF,Portland Trail Blazers,2.6377200000000003 +C.J. McCollum,SG,Portland Trail Blazers,2.52516 +Mason Plumlee,C,Portland Trail Blazers,1.4155200000000001 +Allen Crabbe,SG,Portland Trail Blazers,0.947276 +Pat Connaughton,SG,Portland Trail Blazers,0.625093 +Luis Montero,SG,Portland Trail Blazers,0.525093 +Cliff Alexander,PF,Portland Trail Blazers,0.525093 +DeMarcus Cousins,C,Sacramento Kings,15.85195 +Rudy Gay,SF,Sacramento Kings,12.403101 +Rajon Rondo,PG,Sacramento Kings,9.5 +Kosta Koufos,C,Sacramento Kings,7.7 +Marco Belinelli,SG,Sacramento Kings,6.060606 +Darren Collison,PG,Sacramento Kings,5.013559 +Willie Cauley-Stein,C,Sacramento Kings,3.39828 +Ben McLemore,SG,Sacramento Kings,3.1566 +Omri Casspi,SF,Sacramento Kings,2.836186 +Caron Butler,SF,Sacramento Kings,1.449187 +James Anderson,SG,Sacramento Kings,1.015421 +LaMarcus Aldridge,PF,San Antonio Spurs,19.689 +Kawhi Leonard,SF,San Antonio Spurs,16.4075 +Tony Parker,PG,San Antonio Spurs,13.4375 +Danny Green,SG,San Antonio Spurs,10.0 +Boris Diaw,C,San Antonio Spurs,7.5 +Tim Duncan,C,San Antonio Spurs,5.25 +Patty Mills,PG,San Antonio Spurs,3.5789470000000003 +Manu Ginobili,SG,San Antonio Spurs,2.8139999999999996 +David West,PF,San Antonio Spurs,1.499187 +Boban Marjanovic,C,San Antonio Spurs,1.2 +Reggie Williams,SF,San Antonio Spurs,1.185784 +Kyle Anderson,SF,San Antonio Spurs,1.14288 +Ray McCallum,PG,San Antonio Spurs,0.947276 +DeMarre Carroll,SF,Toronto Raptors,13.6 +Kyle Lowry,PG,Toronto Raptors,12.0 +DeMar DeRozan,SG,Toronto Raptors,10.05 +Cory Joseph,PG,Toronto Raptors,7.0 +Patrick Patterson,PF,Toronto Raptors,6.268675 +Jonas Valanciunas,C,Toronto Raptors,4.660482 +Terrence Ross,SF,Toronto Raptors,3.5539169999999998 +Luis Scola,PF,Toronto Raptors,2.9 +Bismack Biyombo,C,Toronto Raptors,2.8139999999999996 +Luke Ridnour,PG,Toronto Raptors,2.75 +James Johnson,PF,Toronto Raptors,2.5 +Lucas Nogueira,C,Toronto Raptors,1.8419999999999999 +Bruno Caboclo,SF,Toronto Raptors,1.524 +Delon Wright,PG,Toronto Raptors,1.50936 +Norman Powell,SG,Toronto Raptors,0.65 +Shannon Scott,PG,Toronto Raptors,0.525093 +Ronald Roberts Jr.,PF,Toronto Raptors,0.525093 +Gordon Hayward,SF,Utah Jazz,15.40957 +Alec Burks,SG,Utah Jazz,9.463484 +Trevor Booker,PF,Utah Jazz,4.775 +Dante Exum,PG,Utah Jazz,3.7777199999999995 +Tibor Pleiss,C,Utah Jazz,2.9 +Trey Burke,PG,Utah Jazz,2.65824 +Shelvin Mack,PG,Utah Jazz,2.433333 +Trey Lyles,PF,Utah Jazz,2.2398 +Joe Ingles,SF,Utah Jazz,2.05 +Rodney Hood,SG,Utah Jazz,1.3484399999999999 +Rudy Gobert,C,Utah Jazz,1.17588 +Chris Johnson,SF,Utah Jazz,0.981348 +Grant Jerrett,PF,Utah Jazz,0.947276 +Jeff Withey,C,Utah Jazz,0.947276 +Raul Neto,PG,Utah Jazz,0.9 +Treveon Graham,SG,Utah Jazz,0.525093 +Erick Green,PG,Utah Jazz,0.09941799999999999 +John Wall,PG,Washington Wizards,15.85195 +Nene Hilario,C,Washington Wizards,13.0 +Marcin Gortat,C,Washington Wizards,11.217391000000001 +Markieff Morris,PF,Washington Wizards,8.0 +Bradley Beal,SG,Washington Wizards,5.694674 +Martell Webster,SF,Washington Wizards,5.6135 +Otto Porter Jr.,SF,Washington 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zf4|)So+Qzs*=9)d*FhI%0mJh2b?=M!uy36C(;tuYCAT(ALXNM8qJQ|I1cAs;;_;fVY|G_;wZ%skjL{0OH zi3=%d6XD~5)tg$@zOauEFD6>2W*sYxtlI-I>c?Q}YfzmxjoM-&Y10MA|69Es@V|eT zhyLU5nSP^!?=L<2Z-4u{tQENX-~)G0=-YdYTGGn>?L7(D7aa=Nmo9C#c{g!c_P6Zo LH" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 1.1.** In the next cell, assign the name `new_year` to the larger number among the following two numbers:\n", + "\n", + "1. the absolute value of $2^{5}-2^{11}-2^1$, and \n", + "2. $5 \\times 13 \\times 31 + 7$.\n", + "\n", + "Try to use just one statement (one line of code)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "new_year = ...\n", + "new_year" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 2. Text\n", + "Programming doesn't just concern numbers. Text is one of the most common types of values used in programs. \n", + "\n", + "A snippet of text is represented by a **string value** in Python. The word \"*string*\" is a programming term for a sequence of characters. A string might contain a single character, a word, a sentence, or a whole book.\n", + "\n", + "To distinguish text data from actual code, we demarcate strings by putting quotation marks around them. Single quotes (`'`) and double quotes (`\"`) are both valid, but the types of opening and closing quotation marks must match. The contents can be any sequence of characters, including numbers and symbols. \n", + "\n", + "We've seen strings before in `print` statements. Below, two different strings are passed as arguments to the `print` function." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "print(\"I <3\", 'Data Science')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Just like names can be given to numbers, names can be given to string values. The names and strings aren't required to be similar in any way. Any name can be assigned to any string." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "one = 'two'\n", + "plus = '*'\n", + "print(one, plus, one)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 2.1.** Yuri Gagarin was the first person to travel through outer space. When he emerged from his capsule upon landing on Earth, he [reportedly](https://en.wikiquote.org/wiki/Yuri_Gagarin) had the following conversation with a woman and girl who saw the landing:\n", + "\n", + " The woman asked: \"Can it be that you have come from outer space?\"\n", + " Gagarin replied: \"As a matter of fact, I have!\"\n", + "\n", + "The cell below contains unfinished code. Fill in the `...`s so that it prints out this conversation *exactly* as it appears above." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "woman_asking = ...\n", + "woman_quote = '\"Can it be that you have come from outer space?\"'\n", + "gagarin_reply = 'Gagarin replied:'\n", + "gagarin_quote = ...\n", + "\n", + "print(woman_asking, woman_quote)\n", + "print(gagarin_reply, gagarin_quote)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.1. String Methods" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Strings can be transformed using **methods**, which are functions that involve an existing string and some other arguments. One example is the `replace` method, which replaces all instances of some part of a string with some alternative. \n", + "\n", + "A method is invoked on a string by placing a `.` after the string value, then the name of the method, and finally parentheses containing the arguments. Here's a sketch, where the `<` and `>` symbols aren't part of the syntax; they just mark the boundaries of sub-expressions.\n", + "\n", + " .(, , ...)\n", + "\n", + "Try to predict the output of these examples, then execute them." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Replace one letter\n", + "'Hello'.replace('o', 'a')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Replace a sequence of letters, which appears twice\n", + "'hitchhiker'.replace('hi', 'ma')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Once a name is bound to a string value, methods can be invoked on that name as well. The name is still bound to the original string, so a new name is needed to capture the result. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "sharp = 'edged'\n", + "hot = sharp.replace('ed', 'ma')\n", + "print('sharp:', sharp)\n", + "print('hot:', hot)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can call functions on the results of other functions. For example,\n", + "\n", + " max(abs(-5), abs(3))\n", + "\n", + "has value 5. Similarly, you can invoke methods on the results of other method (or function) calls." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Calling replace on the output of another call to\n", + "# replace\n", + "'train'.replace('t', 'ing').replace('in', 'de')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's a picture of how Python evaluates a \"chained\" method call like that:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 2.1.1.** Assign strings to the names `you` and `this` so that the final expression evaluates to a 10-letter English word with three double letters in a row.\n", + "\n", + "*Hint:* After you guess at some values for `you` and `this`, it's helpful to see the value of the variable `the`. Try printing the value of `the` by adding a line like this:\n", + " \n", + " print(the)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "you = ...\n", + "this = ...\n", + "a = 'beeper'\n", + "the = a.replace('p', you) \n", + "the.replace('bee', this)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Other string methods do not take any arguments at all, because the original string is all that's needed to compute the result. In this case, parentheses are still needed, but there's nothing in between the parentheses. Here are some methods that work that way:\n", + "\n", + "|Method name|Value|\n", + "|-|-|\n", + "|`lower`|a lowercased version of the string|\n", + "|`upper`|an uppercased version of the string|\n", + "|`capitalize`|a version with the first letter capitalized|\n", + "|`title`|a version with the first letter of every word capitalized||\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "'yALe unIverSITy'.title()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All these string methods are useful, but most programmers don't memorize their names or how to use them. In the \"real world,\" people usually just search the internet for documentation and examples. A complete [list of string methods](https://docs.python.org/3/library/stdtypes.html#string-methods) appears in the Python language documentation. [Stack Overflow](http://stackoverflow.com) has a huge database of answered questions that often demonstrate how to use these methods to achieve various ends." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.2. Converting to and from Strings" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Strings and numbers are different *types* of values, even when a string contains the digits of a number. For example, evaluating the following cell causes an error because an integer cannot be added to a string." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "8 + \"8\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "However, there are built-in functions to convert numbers to strings and strings to numbers. \n", + "\n", + " int: Converts a string of digits to an integer (\"int\") value\n", + " float: Converts a string of digits, perhaps with a decimal point, to a decimal (\"float\") value\n", + " str: Converts any value to a string" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Try to predict what the following cell will evaluate to, then evaluate it." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "8 + int(\"8\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Suppose you're writing a program that looks for dates in a text, and you want your program to find the amount of time that elapsed between the two years it has identified. It doesn't make sense to subtract two texts, but you can first convert the text containing the years into numbers.\n", + "\n", + "**Question 2.2.1.** Finish the code below to compute the number of years that elapsed between `one_year` and `another_year`. Don't just write the numbers `1618` and `1648` (or `30`); use a conversion function to turn the given text data into numbers." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Some text data:\n", + "one_year = \"1618\"\n", + "another_year = \"1648\"\n", + "\n", + "# Complete the next line. Note that we can't just write:\n", + "# another_year - one_year\n", + "# If you don't see why, try seeing what happens when you\n", + "# write that here.\n", + "difference = ...\n", + "difference" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.3. Strings as function arguments\n", + "\n", + "String values, like numbers, can be arguments to functions and can be returned by functions. The function `len` takes a single string as its argument and returns the number of characters in the string: its **len**-gth. \n", + "\n", + "Note that it doesn't count *words*. `len(\"one small step for man\")` is 22, not 5.\n", + "\n", + "**Question 2.3.1.** Use `len` to find out the number of characters in the very long string in the next cell. (It's the first sentence of the English translation of the French [Declaration of the Rights of Man](http://avalon.law.yale.edu/18th_century/rightsof.asp).) The length of a string is the total number of characters in it, including things like spaces and punctuation. Assign `sentence_length` to that number." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "a_very_long_sentence = \"The representatives of the French people, organized as a National Assembly, believing that the ignorance, neglect, or contempt of the rights of man are the sole cause of public calamities and of the corruption of governments, have determined to set forth in a solemn declaration the natural, unalienable, and sacred rights of man, in order that this declaration, being constantly before all the members of the Social body, shall remind them continually of their rights and duties; in order that the acts of the legislative power, as well as those of the executive power, may be compared at any moment with the objects and purposes of all political institutions and may thus be more respected, and, lastly, in order that the grievances of the citizens, based hereafter upon simple and incontestable principles, shall tend to the maintenance of the constitution and redound to the happiness of all.\"\n", + "sentence_length = ...\n", + "sentence_length" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 3. Importing code\n", + "\n", + "> What has been will be again, \n", + "> what has been done will be done again; \n", + "> there is nothing new under the sun.\n", + "\n", + "Most programming involves work that is very similar to work that has been done before. Since writing code is time-consuming, it's good to rely on others' published code when you can. Rather than copy-pasting, Python allows us to **import** other code, creating a **module** that contains all of the names created by that code.\n", + "\n", + "Python includes many useful modules that are just an `import` away. We'll look at the `math` module as a first example. The `math` module is extremely useful in computing mathematical expressions in Python. \n", + "\n", + "Suppose we want to very accurately compute the area of a circle with radius 5 meters. For that, we need the constant $\\pi$, which is roughly 3.14. Conveniently, the `math` module has `pi` defined for us:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import math\n", + "radius = 5\n", + "area_of_circle = radius**2 * math.pi\n", + "area_of_circle" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`pi` is defined inside `math`, and the way that we access names that are inside modules is by writing the module's name, then a dot, then the name of the thing we want:\n", + "\n", + " .\n", + " \n", + "In order to use a module at all, we must first write the statement `import `. That statement creates a module object with things like `pi` in it and then assigns the name `math` to that module. Above we have done that for `math`." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 3.1.** The module `math` also provides the name `e` for the base of the natural logarithm, which is roughly 2.71. Compute $e^{\\pi}-\\pi$, giving it the name `near_twenty`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "near_twenty = ...\n", + "near_twenty" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![XKCD](http://imgs.xkcd.com/comics/e_to_the_pi_minus_pi.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3.1. Importing functions\n", + "\n", + "**Modules** can provide other named things, including **functions**. For example, `math` provides the name `sin` for the sine function. Having imported `math` already, we can write `math.sin(3)` to compute the sine of 3. (Note that this sine function considers its argument to be in [radians](https://en.wikipedia.org/wiki/Radian), not degrees. 180 degrees are equivalent to $\\pi$ radians.)\n", + "\n", + "**Question 3.1.1.** A $\\frac{\\pi}{4}$-radian (45-degree) angle forms a right triangle with equal base and height, pictured below. If the hypotenuse (the radius of the circle in the picture) is 1, then the height is $\\sin(\\frac{\\pi}{4})$. Compute that using `sin` and `pi` from the `math` module. Give the result the name `sine_of_pi_over_four`.\n", + "\n", + "\n", + "(Source: [Wolfram MathWorld](http://mathworld.wolfram.com/images/eps-gif/TrigonometryAnglesPi4_1000.gif))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "sine_of_pi_over_four = ...\n", + "sine_of_pi_over_four" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For your reference, here are some more examples of functions from the `math` module.\n", + "\n", + "Note how different methods take in different number of arguments. Often, the documentation of the module will provide information on how many arguments is required for each method." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Calculating factorials.\n", + "math.factorial(5)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Calculating logarithms (the logarithm of 8 in base 2).\n", + "# The result is 3 because 2 to the power of 3 is 8.\n", + "math.log(8, 2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Calculating square roots.\n", + "math.sqrt(5)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Calculating cosines.\n", + "math.cos(math.pi)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There's many variations of how we can import methods from outside sources. For example, we can import just a specific method from an outside source, we can rename a library we import, and we can import every single method from a whole library. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#Importing just cos and pi from math.\n", + "#Notice that we don't have to use math. before hand for cos and pi\n", + "from math import cos, pi\n", + "print(cos(pi))\n", + "#We do have to use it infront of other methods from math, though\n", + "math.log(pi)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#We can nickname math as something else, if we don't want to type math\n", + "import math as m\n", + "m.log(m.pi)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#Lastly, we can import ever thing from math\n", + "from math import *\n", + "log(pi)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### A function that displays a picture\n", + "People have written Python functions that do very cool and complicated things, like crawling web pages for data, transforming videos, or doing machine learning with lots of data. Now that you can import things, when you want to do something with code, first check to see if someone else has done it for you.\n", + "\n", + "Let's see an example of a function that's used for downloading and displaying pictures.\n", + "\n", + "The module `IPython.display` provides a function called `Image`. The `Image` function takes a single argument, a string that is the URL of the image on the web. It returns an *image* value that this Jupyter notebook understands how to display. To display an image, make it the value of the last expression in a cell, just like you'd display a number or a string.\n", + "\n", + "**Question 3.1.2.** In the next cell, import the module `IPython.display` and use its `Image` function to display the image at this URL:\n", + "\n", + " https://upload.wikimedia.org/wikipedia/commons/thumb/8/8c/David_-_The_Death_of_Socrates.jpg/1024px-David_-_The_Death_of_Socrates.jpg\n", + "\n", + "Give the name `art` to the output of the call to `Image`. (It might take a few seconds to load the image. It's a painting called *The Death of Socrates* by Jacques-Louis David, depicting events from a philosophical text by Plato.)\n", + "\n", + "*Hint*: A link isn't any special type of data type in Python. You can't just write a link into Python and expect it to work; you need to type the link in as a specific data type. Which one makes the most sense?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Import the module IPython.display. Watch out for capitalization.\n", + "import IPython.display\n", + "# Replace the ... with a call to the Image function\n", + "# in the IPython.display module, which should produce\n", + "# a picture.\n", + "art = ...\n", + "art" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 4. Arrays\n", + "\n", + "Up to now, we haven't done much that you couldn't do yourself by hand, without going through the trouble of learning Python. Computers are most useful when you can use a small amount of code to *do the same action* to *many different things*.\n", + "\n", + "For example, in the time it takes you to calculate the 18% tip on a restaurant bill, a laptop can calculate 18% tips for every restaurant bill paid by every human on Earth that day. (That's if you're pretty fast at doing arithmetic in your head!)\n", + "\n", + "**Arrays** are how we put many values in one place so that we can operate on them as a group. For example, if `billions_of_numbers` is an array of numbers, the expression\n", + "\n", + " .18 * billions_of_numbers\n", + "\n", + "gives a new array of numbers that's the result of multiplying each number in `billions_of_numbers` by .18 (18%). Arrays are not limited to numbers; we can also put all the words in a book into an array of strings.\n", + "\n", + "Concretely, an array is a **collection of values of the same type**, like a column in an Excel spreadsheet. \n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 4.1. Making arrays\n", + "You can type in the data that goes in an array yourself, but that's not typically how programs work. Normally, we create arrays by loading them from an external source, like a data file.\n", + "\n", + "First, though, let's learn how to do it the hard way. Execute the following cell so that all the names from the `datascience` module are available to you." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from datascience import *" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, to create an array, call the function `make_array`. Each argument you pass to `make_array` will be in the array it returns. Run this cell to see an example:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "make_array(0.125, 4.75, -1.3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Each value in an array (in the above case, the numbers 0.125, 4.75, and -1.3) is called an *element* of that array.\n", + "\n", + "Arrays themselves are also values, just like numbers and strings. That means you can assign them names or use them as arguments to functions.\n", + "\n", + "**Question 4.1.1.** Make an array containing the numbers 1, 2, and 3, in that order. Name it `small_numbers`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "small_numbers = ...\n", + "small_numbers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 4.1.2.** Make an array containing the numbers 0, 1, -1, $\\pi$, and $e$, in that order. Name it `interesting_numbers`. *Hint:* How did you get the values $\\pi$ and $e$ earlier? You can refer to them in exactly the same way here." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "interesting_numbers = ...\n", + "interesting_numbers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 4.1.3.** Make an array containing the five strings `\"Hello\"`, `\",\"`, `\" \"`, `\"world\"`, and `\"!\"`. (The third one is a single space inside quotes.) Name it `hello_world_components`.\n", + "\n", + "*Note:* If you print `hello_world_components`, you'll notice some extra information in addition to its contents: `dtype=' How big was the population in *orders of magnitude* in each year?\n", + "\n", + "The logarithm function is one way of measuring how big a number is. The logarithm (base 10) of a number increases by 1 every time we multiply the number by 10. It's like a measure of how many decimal digits the number has, or how big it is in orders of magnitude.\n", + "\n", + "We could try to answer our question like this, using the `log10` function from the `math` module and the `item` method you just saw:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import math\n", + "\n", + "population_1950_magnitude = math.log10(population.item(0))\n", + "population_1951_magnitude = math.log10(population.item(1))\n", + "population_1952_magnitude = math.log10(population.item(2))\n", + "population_1953_magnitude = math.log10(population.item(3))\n", + "..." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "But this is tedious and doesn't really take advantage of the fact that we are using a computer.\n", + "\n", + "Instead, NumPy provides its own version of `log10` that takes the logarithm of each element of an array. It takes a single array of numbers as its argument. It returns an array of the same length, where the first element of the result is the logarithm of the first element of the argument, and so on.\n", + "\n", + "**Question 4.3.1.** Use it to compute the logarithms of the world population in every year. Give the result (an array of 66 numbers) the name `population_magnitudes`. Your code should be very short." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "population_magnitudes = ...\n", + "population_magnitudes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", + "This is called *elementwise* application of the function, since it operates separately on each element of the array it's called on. The textbook's section on arrays has a useful list of NumPy functions that are designed to work elementwise, like `np.log10`.\n", + "\n", + "##### Arithmetic\n", + "Arithmetic also works elementwise on arrays. For example, you can divide all the population numbers by 1 billion to get numbers in billions:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "population_in_billions = population / 1000000000\n", + "population_in_billions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can do the same with addition, subtraction, multiplication, and exponentiation (`**`). For example, you can calculate a tip on several restaurant bills at once (in this case just 3):" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "restaurant_bills = make_array(20.12, 39.90, 31.01)\n", + "print(\"Restaurant bills:\\t\", restaurant_bills)\n", + "tips = .2 * restaurant_bills\n", + "print(\"Tips:\\t\\t\\t\", tips)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", + "**Question 4.3.2.** Suppose the total charge at a restaurant is the original bill plus the tip. That means we can multiply the original bill by 1.2 to get the total charge. Compute the total charge for each bill in `restaurant_bills`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "total_charges = ...\n", + "total_charges" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 4.3.3.** The file `more_restaurant_bills.csv` contains 100,000 bills! Compute the total charge for each one. How is your code different?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "more_restaurant_bills = Table.read_table(\"more_restaurant_bills.csv\").column(\"Bill\")\n", + "more_total_charges = ...\n", + "more_total_charges" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The function `sum` takes a single array of numbers as its argument. It returns the sum of all the numbers in that array (so it returns a single number, not an array).\n", + "\n", + "**Question 4.3.4.** What was the sum of all the bills in `more_restaurant_bills`, *including tips*?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "sum_of_bills = ...\n", + "sum_of_bills" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 4.3.5.** The powers of 2 ($2^0 = 1$, $2^1 = 2$, $2^2 = 4$, etc) arise frequently in computer science. (For example, you may have noticed that storage on smartphones or USBs come in powers of 2, like 16 GB, 32 GB, or 64 GB.) Use `np.arange` and the exponentiation operator `**` to compute the first 30 powers of 2, starting from `2^0`.\n", + "\n", + "*Hint:* If your kernel breaks, you likely have the incorrect solution. Try restarting your kernel, rerunning the cells above, and trying a different solution!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "powers_of_2 = ...\n", + "powers_of_2" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/practice_exercises/practice02/practice02_sol.ipynb b/practice_exercises/practice02/practice02_sol.ipynb new file mode 100644 index 0000000..8dc5985 --- /dev/null +++ b/practice_exercises/practice02/practice02_sol.ipynb @@ -0,0 +1,1816 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Practice Exercises 2: Data Types\n", + "\n", + "Welcome to Practice Exercises 2!\n", + "\n", + "Last time, we had our first look at Python and Jupyter notebooks. So far, we've only used Python to manipulate numbers. There's a lot more to life than numbers, so Python lets us represent many other types of data in programs.\n", + "\n", + "#### Today's exercises\n", + "\n", + "In today's exercises, you'll learn how to:\n", + "\n", + "1. Represent and manipulate another fundamental type of data: text. A piece of text is called a *string* in Python.\n", + "\n", + "2. Invoke *methods*. A method is very similar to a function. It just looks a little different because it's tied to a particular piece of data (like a piece of text or a number).\n", + "\n", + "3. Work with datasets in Python -- *collections* of data, like the numbers 2 through 5 or the words \"welcome\", \"to\", and \"lab\".\n", + "\n", + "Remember, practice exercises are *not* required and will not be turned in for credit...but they are helpful for developing your YData skills!\n", + "\n", + "Credit: These practice exercises have been adapted from Berkeley's Data8 course." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 1. Review: The building blocks of Python code\n", + "\n", + "The two building blocks of Python code are *expressions* and *statements*. An **expression** is a piece of code that\n", + "\n", + "* is self-contained, meaning it would make sense to write it on a line by itself, and\n", + "* usually has a value.\n", + "\n", + "\n", + "Here are two expressions that both evaluate to 3\n", + "\n", + " 3\n", + " 5 - 2\n", + " \n", + "One important form of an expression is the **call expression**, which first names a function and then describes its arguments. The function returns some value, based on its arguments. Some important mathematical functions are\n", + "\n", + "| Function | Description |\n", + "|----------|---------------------------------------------------------------|\n", + "| `abs` | Returns the absolute value of its argument |\n", + "| `max` | Returns the maximum of all its arguments |\n", + "| `min` | Returns the minimum of all its arguments |\n", + "| `pow` | Raises its first argument to the power of its second argument |\n", + "| `round` | Round its argument to the nearest integer |\n", + "\n", + "Here are two call expressions that both evaluate to 3\n", + "\n", + " abs(2 - 5)\n", + " max(round(2.8), min(pow(2, 10), -1 * pow(2, 10)))\n", + "\n", + "All these expressions are **compound expressions**, meaning that they are actually combinations of several smaller expressions. `2 + 3` combines the expressions `2` and `3` by addition. In this case, `2` and `3` are called **subexpressions** because they're expressions that are part of a larger expression.\n", + "\n", + "A **statement** is a whole line of code. Some statements are just expressions. The expressions listed above are examples.\n", + "\n", + "Other statements *make something happen* rather than *having a value*. After they are run, something in the world has changed. For example, an **assignment statement** assigns a value to a name. \n", + "\n", + "A good way to think about this is that we're **evaluating the right-hand side** of the equals sign and **assigning it to the left-hand side**. Here are some assignment statements:\n", + " \n", + " height = 1.3\n", + " the_number_five = abs(-5)\n", + " absolute_height_difference = abs(height - 1.688)\n", + "\n", + "A key idea in programming is that large, interesting things can be built by combining many simple, uninteresting things. The key to understanding a complicated piece of code is breaking it down into its simple components.\n", + "\n", + "For example, a lot is going on in the last statement above, but it's really just a combination of a few things. This picture describes what's going on.\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 1.1.** In the next cell, assign the name `new_year` to the larger number among the following two numbers:\n", + "\n", + "1. the absolute value of $2^{5}-2^{11}-2^1$, and \n", + "2. $5 \\times 13 \\times 31 + 7$.\n", + "\n", + "Try to use just one statement (one line of code)." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2022" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "new_year = max(abs(2**5 - 2**11 - 2**1), 5 * 13 * 31 + 7)\n", + "new_year" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 2. Text\n", + "Programming doesn't just concern numbers. Text is one of the most common types of values used in programs. \n", + "\n", + "A snippet of text is represented by a **string value** in Python. The word \"*string*\" is a programming term for a sequence of characters. A string might contain a single character, a word, a sentence, or a whole book.\n", + "\n", + "To distinguish text data from actual code, we demarcate strings by putting quotation marks around them. Single quotes (`'`) and double quotes (`\"`) are both valid, but the types of opening and closing quotation marks must match. The contents can be any sequence of characters, including numbers and symbols. \n", + "\n", + "We've seen strings before in `print` statements. Below, two different strings are passed as arguments to the `print` function." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "I <3 Data Science\n" + ] + } + ], + "source": [ + "print(\"I <3\", 'Data Science')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Just like names can be given to numbers, names can be given to string values. The names and strings aren't required to be similar in any way. Any name can be assigned to any string." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "two * two\n" + ] + } + ], + "source": [ + "one = 'two'\n", + "plus = '*'\n", + "print(one, plus, one)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 2.1.** Yuri Gagarin was the first person to travel through outer space. When he emerged from his capsule upon landing on Earth, he [reportedly](https://en.wikiquote.org/wiki/Yuri_Gagarin) had the following conversation with a woman and girl who saw the landing:\n", + "\n", + " The woman asked: \"Can it be that you have come from outer space?\"\n", + " Gagarin replied: \"As a matter of fact, I have!\"\n", + "\n", + "The cell below contains unfinished code. Fill in the `...`s so that it prints out this conversation *exactly* as it appears above." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The woman asked: \"Can it be that you have come from outer space?\"\n", + "Gagarin replied: \"As a matter of fact, I have!\"\n" + ] + } + ], + "source": [ + "woman_asking = 'The woman asked:'\n", + "woman_quote = '\"Can it be that you have come from outer space?\"'\n", + "gagarin_reply = 'Gagarin replied:'\n", + "gagarin_quote = '\"As a matter of fact, I have!\"'\n", + "\n", + "print(woman_asking, woman_quote)\n", + "print(gagarin_reply, gagarin_quote)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.1. String Methods" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Strings can be transformed using **methods**, which are functions that involve an existing string and some other arguments. One example is the `replace` method, which replaces all instances of some part of a string with some alternative. \n", + "\n", + "A method is invoked on a string by placing a `.` after the string value, then the name of the method, and finally parentheses containing the arguments. Here's a sketch, where the `<` and `>` symbols aren't part of the syntax; they just mark the boundaries of sub-expressions.\n", + "\n", + " .(, , ...)\n", + "\n", + "Try to predict the output of these examples, then execute them." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Hella'" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Replace one letter\n", + "'Hello'.replace('o', 'a')" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'matchmaker'" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Replace a sequence of letters, which appears twice\n", + "'hitchhiker'.replace('hi', 'ma')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Once a name is bound to a string value, methods can be invoked on that name as well. The name is still bound to the original string, so a new name is needed to capture the result. " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sharp: edged\n", + "hot: magma\n" + ] + } + ], + "source": [ + "sharp = 'edged'\n", + "hot = sharp.replace('ed', 'ma')\n", + "print('sharp:', sharp)\n", + "print('hot:', hot)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can call functions on the results of other functions. For example,\n", + "\n", + " max(abs(-5), abs(3))\n", + "\n", + "has value 5. Similarly, you can invoke methods on the results of other method (or function) calls." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Calling replace on the output of another call to\n", + "# replace\n", + "'train'.replace('t', 'ing').replace('in', 'de')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's a picture of how Python evaluates a \"chained\" method call like that:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 2.1.1.** Assign strings to the names `you` and `this` so that the final expression evaluates to a 10-letter English word with three double letters in a row.\n", + "\n", + "*Hint:* After you guess at some values for `you` and `this`, it's helpful to see the value of the variable `the`. Try printing the value of `the` by adding a line like this:\n", + " \n", + " print(the)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'bookkeeper'" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "you = \"keep\"\n", + "this = \"book\"\n", + "a = 'beeper'\n", + "the = a.replace('p', you) \n", + "the.replace('bee', this)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Other string methods do not take any arguments at all, because the original string is all that's needed to compute the result. In this case, parentheses are still needed, but there's nothing in between the parentheses. Here are some methods that work that way:\n", + "\n", + "|Method name|Value|\n", + "|-|-|\n", + "|`lower`|a lowercased version of the string|\n", + "|`upper`|an uppercased version of the string|\n", + "|`capitalize`|a version with the first letter capitalized|\n", + "|`title`|a version with the first letter of every word capitalized||\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Yale University'" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'yALe unIverSITy'.title()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All these string methods are useful, but most programmers don't memorize their names or how to use them. In the \"real world,\" people usually just search the internet for documentation and examples. A complete [list of string methods](https://docs.python.org/3/library/stdtypes.html#string-methods) appears in the Python language documentation. [Stack Overflow](http://stackoverflow.com) has a huge database of answered questions that often demonstrate how to use these methods to achieve various ends." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.2. Converting to and from Strings" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Strings and numbers are different *types* of values, even when a string contains the digits of a number. For example, evaluating the following cell causes an error because an integer cannot be added to a string." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "unsupported operand type(s) for +: 'int' and 'str'", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[1;36m8\u001b[0m \u001b[1;33m+\u001b[0m \u001b[1;34m\"8\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[1;31mTypeError\u001b[0m: unsupported operand type(s) for +: 'int' and 'str'" + ] + } + ], + "source": [ + "8 + \"8\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "However, there are built-in functions to convert numbers to strings and strings to numbers. \n", + "\n", + " int: Converts a string of digits to an integer (\"int\") value\n", + " float: Converts a string of digits, perhaps with a decimal point, to a decimal (\"float\") value\n", + " str: Converts any value to a string" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Try to predict what the following cell will evaluate to, then evaluate it." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "8 + int(\"8\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Suppose you're writing a program that looks for dates in a text, and you want your program to find the amount of time that elapsed between the two years it has identified. It doesn't make sense to subtract two texts, but you can first convert the text containing the years into numbers.\n", + "\n", + "**Question 2.2.1.** Finish the code below to compute the number of years that elapsed between `one_year` and `another_year`. Don't just write the numbers `1618` and `1648` (or `30`); use a conversion function to turn the given text data into numbers." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "30" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Some text data:\n", + "one_year = \"1618\"\n", + "another_year = \"1648\"\n", + "\n", + "# Complete the next line. Note that we can't just write:\n", + "# another_year - one_year\n", + "# If you don't see why, try seeing what happens when you\n", + "# write that here.\n", + "difference = int(another_year) - int(one_year)\n", + "difference" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.3. Strings as function arguments\n", + "\n", + "String values, like numbers, can be arguments to functions and can be returned by functions. The function `len` takes a single string as its argument and returns the number of characters in the string: its **len**-gth. \n", + "\n", + "Note that it doesn't count *words*. `len(\"one small step for man\")` is 22, not 5.\n", + "\n", + "**Question 2.3.1.** Use `len` to find out the number of characters in the very long string in the next cell. (It's the first sentence of the English translation of the French [Declaration of the Rights of Man](http://avalon.law.yale.edu/18th_century/rightsof.asp).) The length of a string is the total number of characters in it, including things like spaces and punctuation. Assign `sentence_length` to that number." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "896" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_very_long_sentence = \"The representatives of the French people, organized as a National Assembly, believing that the ignorance, neglect, or contempt of the rights of man are the sole cause of public calamities and of the corruption of governments, have determined to set forth in a solemn declaration the natural, unalienable, and sacred rights of man, in order that this declaration, being constantly before all the members of the Social body, shall remind them continually of their rights and duties; in order that the acts of the legislative power, as well as those of the executive power, may be compared at any moment with the objects and purposes of all political institutions and may thus be more respected, and, lastly, in order that the grievances of the citizens, based hereafter upon simple and incontestable principles, shall tend to the maintenance of the constitution and redound to the happiness of all.\"\n", + "sentence_length = len(a_very_long_sentence)\n", + "sentence_length" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 3. Importing code\n", + "\n", + "> What has been will be again, \n", + "> what has been done will be done again; \n", + "> there is nothing new under the sun.\n", + "\n", + "Most programming involves work that is very similar to work that has been done before. Since writing code is time-consuming, it's good to rely on others' published code when you can. Rather than copy-pasting, Python allows us to **import** other code, creating a **module** that contains all of the names created by that code.\n", + "\n", + "Python includes many useful modules that are just an `import` away. We'll look at the `math` module as a first example. The `math` module is extremely useful in computing mathematical expressions in Python. \n", + "\n", + "Suppose we want to very accurately compute the area of a circle with radius 5 meters. For that, we need the constant $\\pi$, which is roughly 3.14. Conveniently, the `math` module has `pi` defined for us:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "78.53981633974483" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import math\n", + "radius = 5\n", + "area_of_circle = radius**2 * math.pi\n", + "area_of_circle" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`pi` is defined inside `math`, and the way that we access names that are inside modules is by writing the module's name, then a dot, then the name of the thing we want:\n", + "\n", + " .\n", + " \n", + "In order to use a module at all, we must first write the statement `import `. That statement creates a module object with things like `pi` in it and then assigns the name `math` to that module. Above we have done that for `math`." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 3.1.** The module `math` also provides the name `e` for the base of the natural logarithm, which is roughly 2.71. Compute $e^{\\pi}-\\pi$, giving it the name `near_twenty`." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "19.99909997918947" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "near_twenty = math.e**math.pi - math.pi\n", + "near_twenty" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![XKCD](http://imgs.xkcd.com/comics/e_to_the_pi_minus_pi.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3.1. Importing functions\n", + "\n", + "**Modules** can provide other named things, including **functions**. For example, `math` provides the name `sin` for the sine function. Having imported `math` already, we can write `math.sin(3)` to compute the sine of 3. (Note that this sine function considers its argument to be in [radians](https://en.wikipedia.org/wiki/Radian), not degrees. 180 degrees are equivalent to $\\pi$ radians.)\n", + "\n", + "**Question 3.1.1.** A $\\frac{\\pi}{4}$-radian (45-degree) angle forms a right triangle with equal base and height, pictured below. If the hypotenuse (the radius of the circle in the picture) is 1, then the height is $\\sin(\\frac{\\pi}{4})$. Compute that using `sin` and `pi` from the `math` module. Give the result the name `sine_of_pi_over_four`.\n", + "\n", + "\n", + "(Source: [Wolfram MathWorld](http://mathworld.wolfram.com/images/eps-gif/TrigonometryAnglesPi4_1000.gif))" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.7071067811865476" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sine_of_pi_over_four = math.sin(math.pi/4)\n", + "sine_of_pi_over_four" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For your reference, here are some more examples of functions from the `math` module.\n", + "\n", + "Note how different methods take in different number of arguments. Often, the documentation of the module will provide information on how many arguments is required for each method." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "120" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Calculating factorials.\n", + "math.factorial(5)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.0" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Calculating logarithms (the logarithm of 8 in base 2).\n", + "# The result is 3 because 2 to the power of 3 is 8.\n", + "math.log(8, 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.23606797749979" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Calculating square roots.\n", + "math.sqrt(5)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.0" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Calculating cosines.\n", + "math.cos(math.pi)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There's many variations of how we can import methods from outside sources. For example, we can import just a specific method from an outside source, we can rename a library we import, and we can import every single method from a whole library. " + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-1.0\n" + ] + }, + { + "data": { + "text/plain": [ + "1.1447298858494002" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Importing just cos and pi from math.\n", + "#Notice that we don't have to use math. before hand for cos and pi\n", + "from math import cos, pi\n", + "print(cos(pi))\n", + "#We do have to use it infront of other methods from math, though\n", + "math.log(pi)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.1447298858494002" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#We can nickname math as something else, if we don't want to type math\n", + "import math as m\n", + "m.log(m.pi)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.1447298858494002" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Lastly, we can import ever thing from math\n", + "from math import *\n", + "log(pi)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### A function that displays a picture\n", + "People have written Python functions that do very cool and complicated things, like crawling web pages for data, transforming videos, or doing machine learning with lots of data. Now that you can import things, when you want to do something with code, first check to see if someone else has done it for you.\n", + "\n", + "Let's see an example of a function that's used for downloading and displaying pictures.\n", + "\n", + "The module `IPython.display` provides a function called `Image`. The `Image` function takes a single argument, a string that is the URL of the image on the web. It returns an *image* value that this Jupyter notebook understands how to display. To display an image, make it the value of the last expression in a cell, just like you'd display a number or a string.\n", + "\n", + "**Question 3.1.2.** In the next cell, import the module `IPython.display` and use its `Image` function to display the image at this URL:\n", + "\n", + " https://upload.wikimedia.org/wikipedia/commons/thumb/8/8c/David_-_The_Death_of_Socrates.jpg/1024px-David_-_The_Death_of_Socrates.jpg\n", + "\n", + "Give the name `art` to the output of the call to `Image`. (It might take a few seconds to load the image. It's a painting called *The Death of Socrates* by Jacques-Louis David, depicting events from a philosophical text by Plato.)\n", + "\n", + "*Hint*: A link isn't any special type of data type in Python. You can't just write a link into Python and expect it to work; you need to type the link in as a specific data type. Which one makes the most sense?" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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\n", + "text/plain": [ + "" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Import the module IPython.display. Watch out for capitalization.\n", + "import IPython.display \n", + "# Replace the ... with a call to the Image function\n", + "# in the IPython.display module, which should produce\n", + "# a picture.\n", + "art = IPython.display.Image(\"https://upload.wikimedia.org/wikipedia/commons/thumb/8/8c/David_-_The_Death_of_Socrates.jpg/1024px-David_-_The_Death_of_Socrates.jpg\")\n", + "art" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 4. Arrays\n", + "\n", + "Up to now, we haven't done much that you couldn't do yourself by hand, without going through the trouble of learning Python. Computers are most useful when you can use a small amount of code to *do the same action* to *many different things*.\n", + "\n", + "For example, in the time it takes you to calculate the 18% tip on a restaurant bill, a laptop can calculate 18% tips for every restaurant bill paid by every human on Earth that day. (That's if you're pretty fast at doing arithmetic in your head!)\n", + "\n", + "**Arrays** are how we put many values in one place so that we can operate on them as a group. For example, if `billions_of_numbers` is an array of numbers, the expression\n", + "\n", + " .18 * billions_of_numbers\n", + "\n", + "gives a new array of numbers that's the result of multiplying each number in `billions_of_numbers` by .18 (18%). Arrays are not limited to numbers; we can also put all the words in a book into an array of strings.\n", + "\n", + "Concretely, an array is a **collection of values of the same type**, like a column in an Excel spreadsheet. \n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 4.1. Making arrays\n", + "You can type in the data that goes in an array yourself, but that's not typically how programs work. Normally, we create arrays by loading them from an external source, like a data file.\n", + "\n", + "First, though, let's learn how to do it the hard way. Execute the following cell so that all the names from the `datascience` module are available to you." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from datascience import *" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, to create an array, call the function `make_array`. Each argument you pass to `make_array` will be in the array it returns. Run this cell to see an example:" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.125, 4.75 , -1.3 ])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "make_array(0.125, 4.75, -1.3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Each value in an array (in the above case, the numbers 0.125, 4.75, and -1.3) is called an *element* of that array.\n", + "\n", + "Arrays themselves are also values, just like numbers and strings. That means you can assign them names or use them as arguments to functions.\n", + "\n", + "**Question 4.1.1.** Make an array containing the numbers 1, 2, and 3, in that order. Name it `small_numbers`." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 2, 3], dtype=int64)" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "small_numbers = make_array(1, 2, 3)\n", + "small_numbers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 4.1.2.** Make an array containing the numbers 0, 1, -1, $\\pi$, and $e$, in that order. Name it `interesting_numbers`. *Hint:* How did you get the values $\\pi$ and $e$ earlier? You can refer to them in exactly the same way here." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 1. , -1. , 3.14159265, 2.71828183])" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "interesting_numbers = make_array(0, 1, -1, math.pi, math.e)\n", + "interesting_numbers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 4.1.3.** Make an array containing the five strings `\"Hello\"`, `\",\"`, `\" \"`, `\"world\"`, and `\"!\"`. (The third one is a single space inside quotes.) Name it `hello_world_components`.\n", + "\n", + "*Note:* If you print `hello_world_components`, you'll notice some extra information in addition to its contents: `dtype='\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[1;31m# The array has only 66 elements, so this doesn't work.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[1;31m# (There's no element with 66 other elements before it.)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mpopulation_2016\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpopulation\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mitem\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m66\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[0mpopulation_2016\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mIndexError\u001b[0m: index 66 is out of bounds for axis 0 with size 66" + ] + } + ], + "source": [ + "# The array has only 66 elements, so this doesn't work.\n", + "# (There's no element with 66 other elements before it.)\n", + "population_2016 = population.item(66)\n", + "population_2016" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-2" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Since make_array returns an array, we can call .item(3)\n", + "# on its output to get its 4th element, just like we\n", + "# \"chained\" together calls to the method \"replace\" earlier.\n", + "make_array(-1, -3, 4, -2).item(3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 4.2.1.** Set `population_1973` to the world population in 1973, by getting the appropriate element from `population` using `item`." + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3942096442" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "population_1973 = population.item(23)\n", + "population_1973" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 4.3. Doing something to every element of an array\n", + "Arrays are primarily useful for doing the same operation many times, so we don't often have to use `.item` and work with single elements.\n", + "\n", + "##### Logarithms\n", + "Here is one simple question we might ask about world population:\n", + "\n", + "> How big was the population in *orders of magnitude* in each year?\n", + "\n", + "The logarithm function is one way of measuring how big a number is. The logarithm (base 10) of a number increases by 1 every time we multiply the number by 10. It's like a measure of how many decimal digits the number has, or how big it is in orders of magnitude.\n", + "\n", + "We could try to answer our question like this, using the `log10` function from the `math` module and the `item` method you just saw:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import math\n", + "\n", + "population_1950_magnitude = math.log10(population.item(0))\n", + "population_1951_magnitude = math.log10(population.item(1))\n", + "population_1952_magnitude = math.log10(population.item(2))\n", + "population_1953_magnitude = math.log10(population.item(3))\n", + "..." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "But this is tedious and doesn't really take advantage of the fact that we are using a computer.\n", + "\n", + "Instead, NumPy provides its own version of `log10` that takes the logarithm of each element of an array. It takes a single array of numbers as its argument. It returns an array of the same length, where the first element of the result is the logarithm of the first element of the argument, and so on.\n", + "\n", + "**Question 4.3.1.** Use it to compute the logarithms of the world population in every year. Give the result (an array of 66 numbers) the name `population_magnitudes`. Your code should be very short." + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([9.40783749, 9.4141273 , 9.42107263, 9.42846742, 9.43619893,\n", + " 9.44437257, 9.45259897, 9.46110062, 9.4695477 , 9.47722498,\n", + " 9.48330217, 9.48910971, 9.49694254, 9.50648175, 9.51603288,\n", + " 9.5251 , 9.53411218, 9.54286695, 9.55173218, 9.56076229,\n", + " 9.56968959, 9.57867667, 9.58732573, 9.59572724, 9.60385954,\n", + " 9.61162595, 9.61911264, 9.62655434, 9.63388293, 9.64137633,\n", + " 9.64849299, 9.6565208 , 9.66413091, 9.67170374, 9.67893421,\n", + " 9.68632006, 9.69377717, 9.70132621, 9.70880804, 9.7161236 ,\n", + " 9.72336995, 9.73010253, 9.73688521, 9.74337399, 9.74963446,\n", + " 9.75581413, 9.7618858 , 9.76774733, 9.77343633, 9.77902438,\n", + " 9.7845154 , 9.78994853, 9.7953249 , 9.80062024, 9.80588805,\n", + " 9.81110861, 9.81632507, 9.82150788, 9.82666101, 9.83175555,\n", + " 9.83672482, 9.84161319, 9.84648243, 9.85132122, 9.85604719,\n", + " 9.8607266 ])" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "population_magnitudes = np.log10(population)\n", + "population_magnitudes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", + "This is called *elementwise* application of the function, since it operates separately on each element of the array it's called on. The textbook's section on arrays has a useful list of NumPy functions that are designed to work elementwise, like `np.log10`.\n", + "\n", + "##### Arithmetic\n", + "Arithmetic also works elementwise on arrays. For example, you can divide all the population numbers by 1 billion to get numbers in billions:" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([2.55762865, 2.59493988, 2.63677231, 2.68205339, 2.7302281 ,\n", + " 2.78209894, 2.83529967, 2.89134972, 2.94813725, 3.00071659,\n", + " 3.04300151, 3.08396693, 3.14009322, 3.20982788, 3.28120131,\n", + " 3.35042579, 3.42067792, 3.49033371, 3.56231382, 3.63715905,\n", + " 3.71269774, 3.79032695, 3.86656865, 3.94209644, 4.01660881,\n", + " 4.08908323, 4.16018501, 4.23208458, 4.30410575, 4.37901394,\n", + " 4.45136274, 4.53441012, 4.61456656, 4.69573674, 4.77456939,\n", + " 4.8564627 , 4.94057123, 5.02720049, 5.11455717, 5.20144011,\n", + " 5.28895593, 5.37158592, 5.45613628, 5.53826832, 5.61868213,\n", + " 5.69920299, 5.77944059, 5.85797254, 5.93521325, 6.01207492,\n", + " 6.08857138, 6.16521925, 6.24201635, 6.31859096, 6.39569951,\n", + " 6.47304473, 6.55126353, 6.62991376, 6.70904978, 6.78821439,\n", + " 6.86633236, 6.94405558, 7.02234928, 7.10102789, 7.17872289,\n", + " 7.25649001])" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "population_in_billions = population / 1000000000\n", + "population_in_billions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can do the same with addition, subtraction, multiplication, and exponentiation (`**`). For example, you can calculate a tip on several restaurant bills at once (in this case just 3):" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Restaurant bills:\t [20.12 39.9 31.01]\n", + "Tips:\t\t\t [4.024 7.98 6.202]\n" + ] + } + ], + "source": [ + "restaurant_bills = make_array(20.12, 39.90, 31.01)\n", + "print(\"Restaurant bills:\\t\", restaurant_bills)\n", + "tips = .2 * restaurant_bills\n", + "print(\"Tips:\\t\\t\\t\", tips)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", + "**Question 4.3.2.** Suppose the total charge at a restaurant is the original bill plus the tip. That means we can multiply the original bill by 1.2 to get the total charge. Compute the total charge for each bill in `restaurant_bills`." + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([24.144, 47.88 , 37.212])" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "total_charges = 1.2 * restaurant_bills\n", + "total_charges" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 4.3.3.** The file `more_restaurant_bills.csv` contains 100,000 bills! Compute the total charge for each one. How is your code different?" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([20.244, 20.892, 12.216, ..., 19.308, 18.336, 35.664])" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "more_restaurant_bills = Table.read_table(\"more_restaurant_bills.csv\").column(\"Bill\")\n", + "more_total_charges = 1.2 * more_restaurant_bills\n", + "more_total_charges" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The function `sum` takes a single array of numbers as its argument. It returns the sum of all the numbers in that array (so it returns a single number, not an array).\n", + "\n", + "**Question 4.3.4.** What was the sum of all the bills in `more_restaurant_bills`, *including tips*?" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1496441.7200000002" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sum_of_bills = np.sum(more_restaurant_bills)\n", + "sum_of_bills" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 4.3.5.** The powers of 2 ($2^0 = 1$, $2^1 = 2$, $2^2 = 4$, etc) arise frequently in computer science. (For example, you may have noticed that storage on smartphones or USBs come in powers of 2, like 16 GB, 32 GB, or 64 GB.) Use `np.arange` and the exponentiation operator `**` to compute the first 30 powers of 2, starting from `2^0`.\n", + "\n", + "*Hint:* If your kernel breaks, you likely have the incorrect solution. Try restarting your kernel, rerunning the cells above, and trying a different solution!" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1, 2, 4, 8, 16, 32,\n", + " 64, 128, 256, 512, 1024, 2048,\n", + " 4096, 8192, 16384, 32768, 65536, 131072,\n", + " 262144, 524288, 1048576, 2097152, 4194304, 8388608,\n", + " 16777216, 33554432, 67108864, 134217728, 268435456, 536870912],\n", + " dtype=int32)" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "powers_of_2 = 2**np.arange(0, 30)\n", + "powers_of_2" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": 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