Alexander Hess
94e5112f10
After refurbishing the project we prepare a new relaease. There are no changes with respect to the contents as compared to v0.0.0 that are noteworthy release notes.
318 lines
115 KiB
Text
318 lines
115 KiB
Text
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"**Note**: Click on \"*Kernel*\" > \"*Restart Kernel and Clear All Outputs*\" in [JupyterLab](https://jupyterlab.readthedocs.io/en/stable/) *before* reading this notebook to reset its output. If you cannot run this file on your machine, you may want to open it [in the cloud <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_mb.png\">](https://mybinder.org/v2/gh/webartifex/intro-to-python/main?urlpath=lab/tree/05_numbers/06_resources.ipynb)."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "slide"
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}
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},
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"source": [
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"# Chapter 5: Numbers & Bits (Further Resources)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Working with Bits"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "skip"
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}
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},
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"source": [
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"The two videos below show how addition and multiplication works with numbers in their binary representations. Subtraction is a bit more involved as we need to understand how negative numbers are represented in binary with the concept of [Two's Complement <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_wiki.png\">](https://en.wikipedia.org/wiki/Two%27s_complement) first. A video on that is shown further below. Division in binary is actually also quite simple."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"slideshow": {
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"slide_type": "skip"
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}
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},
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"outputs": [
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{
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"data": {
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\n",
|
|
"text/html": [
|
|
"\n",
|
|
" <iframe\n",
|
|
" width=\"60%\"\n",
|
|
" height=\"300\"\n",
|
|
" src=\"https://www.youtube.com/embed/RgklPQ8rbkg\"\n",
|
|
" frameborder=\"0\"\n",
|
|
" allowfullscreen\n",
|
|
" \n",
|
|
" ></iframe>\n",
|
|
" "
|
|
],
|
|
"text/plain": [
|
|
"<IPython.lib.display.YouTubeVideo at 0x7f5405789fd0>"
|
|
]
|
|
},
|
|
"execution_count": 1,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from IPython.display import YouTubeVideo\n",
|
|
"YouTubeVideo(\"RgklPQ8rbkg\", width=\"60%\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "skip"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/jpeg": 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\n",
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"text/html": [
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"\n",
|
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" <iframe\n",
|
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" width=\"60%\"\n",
|
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" height=\"300\"\n",
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" src=\"https://www.youtube.com/embed/xHWKYFhhtJQ\"\n",
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" frameborder=\"0\"\n",
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" allowfullscreen\n",
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" \n",
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" ></iframe>\n",
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" "
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],
|
|
"text/plain": [
|
|
"<IPython.lib.display.YouTubeVideo at 0x7f54057845b0>"
|
|
]
|
|
},
|
|
"execution_count": 2,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"YouTubeVideo(\"xHWKYFhhtJQ\", width=\"60%\")"
|
|
]
|
|
},
|
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{
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"cell_type": "markdown",
|
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"metadata": {
|
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"slideshow": {
|
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"slide_type": "skip"
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}
|
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},
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"source": [
|
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"The video below explains the idea behind [Two's Complement <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_wiki.png\">](https://en.wikipedia.org/wiki/Two%27s_complement). This is how most modern programming languages implement negative integers. The video also shows how subtraction in binary works."
|
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]
|
|
},
|
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{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "skip"
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|
}
|
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},
|
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"outputs": [
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{
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"data": {
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"image/jpeg": 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"text/html": [
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"\n",
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" <iframe\n",
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" width=\"60%\"\n",
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" height=\"300\"\n",
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" src=\"https://www.youtube.com/embed/4qH4unVtJkE\"\n",
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" frameborder=\"0\"\n",
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" allowfullscreen\n",
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" \n",
|
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" ></iframe>\n",
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" "
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],
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|
"text/plain": [
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"<IPython.lib.display.YouTubeVideo at 0x7f5405789730>"
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]
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},
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|
"execution_count": 3,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"YouTubeVideo(\"4qH4unVtJkE\", width=\"60%\")"
|
|
]
|
|
},
|
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{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
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"source": [
|
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"## The Intuition behind Floating Point Numbers"
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]
|
|
},
|
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{
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"cell_type": "markdown",
|
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"metadata": {
|
|
"slideshow": {
|
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"slide_type": "skip"
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|
}
|
|
},
|
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"source": [
|
|
"This video by the YouTube channel [Computerphile](https://www.youtube.com/channel/UC9-y-6csu5WGm29I7JiwpnA) explains floating point numbers in an intuitive way with some numeric examples."
|
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]
|
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},
|
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{
|
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"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {
|
|
"slideshow": {
|
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"slide_type": "skip"
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|
}
|
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},
|
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"outputs": [
|
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{
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"data": {
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"image/jpeg": 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\n",
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"text/html": [
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"\n",
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" <iframe\n",
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" width=\"60%\"\n",
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" height=\"300\"\n",
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" src=\"https://www.youtube.com/embed/PZRI1IfStY0\"\n",
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" frameborder=\"0\"\n",
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" allowfullscreen\n",
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" \n",
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" ></iframe>\n",
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" "
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],
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"text/plain": [
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"<IPython.lib.display.YouTubeVideo at 0x7f540577eb80>"
|
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]
|
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},
|
|
"execution_count": 4,
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"metadata": {},
|
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"output_type": "execute_result"
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}
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],
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"source": [
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"YouTubeVideo(\"PZRI1IfStY0\", width=\"60%\")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## An Introduction to Complex Numbers"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "skip"
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}
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},
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"source": [
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"Below is a short introduction to [complex numbers <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_wiki.png\">](https://en.wikipedia.org/wiki/Complex_number) by [MIT](https://www.mit.edu) professor [Gilbert Strang <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_wiki.png\">](https://en.wikipedia.org/wiki/Gilbert_Strang) aimed at high school students."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {
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"slideshow": {
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"slide_type": "skip"
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}
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},
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"outputs": [
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{
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"data": {
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"image/jpeg": 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