Added Files, Changed Folder Names, AND MUCH MORE!
++ Week 5 Folder ++ Week 5 Homework +- Week 2 Folder Name
This commit is contained in:
parent
ee3222c4ab
commit
4fc499169b
13 changed files with 538 additions and 0 deletions
73
Week-5/01_basic_names.ipynb
Normal file
73
Week-5/01_basic_names.ipynb
Normal file
|
|
@ -0,0 +1,73 @@
|
|||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"# Names in Python"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"**Question 1.** A famous fact in mathematics is that\n",
|
||||
"\n",
|
||||
"$$(1 + \\frac{1}{n})^{n}$$\n",
|
||||
"\n",
|
||||
"gets very close to the number $e$, which is roughly $2.718$, when $n$ is large. Use this fact to compute an approximation to $e$, called `roughly_e`. Your approximation should be correct to at least 5 decimal places."
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 7,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"roughly_e = ...\n",
|
||||
"roughly_e"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"**Question 2.** In the previous question, you might have noticed that you had to type in the value of $n$ twice when you tried different values (once as `1/n` and once as `**n`). You might have even accidentally used 2 different values.\n",
|
||||
"\n",
|
||||
"Redo the code in the cell below, giving your estimate of $e$ the name `also_roughly_e`. Instead of writing the value of $n$ twice, give it the name `n` in your Python code, and then use that name in your expression for `also_roughly_e`."
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 2,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"n = ...\n",
|
||||
"also_roughly_e = ...\n",
|
||||
"also_roughly_e"
|
||||
]
|
||||
}
|
||||
],
|
||||
"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": "3.8.3"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 1
|
||||
}
|
||||
Loading…
Add table
Add a link
Reference in a new issue