diff --git a/05_numbers/04_summary.ipynb b/05_numbers/04_summary.ipynb new file mode 100644 index 0000000..45c7c29 --- /dev/null +++ b/05_numbers/04_summary.ipynb @@ -0,0 +1,85 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Chapter 5: Numbers & Bits (TL;DR)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "There exist three numeric types in core Python:\n", + "- `int`: a near-perfect model for whole numbers (i.e., $\\mathbb{Z}$); inherently precise\n", + "- `float`: the \"gold\" standard to approximate real numbers (i.e., $\\mathbb{R}$); inherently imprecise\n", + "- `complex`: layer on top of the `float` type to approximate complex numbers (i.e., $\\mathbb{C}$); inherently imprecise\n", + "\n", + "Furthermore, the [standard library ](https://docs.python.org/3/library/index.html) provides two more types that can be used as substitutes for the `float` type:\n", + "- `Decimal`: similar to `float` but allows customizing the precision; still inherently imprecise\n", + "- `Fraction`: a near-perfect model for rational numbers (i.e., $\\mathbb{Q}$); built on top of the `int` type and therefore inherently precise\n", + "\n", + "The *important* takeaways for the data science practitioner are:\n", + "\n", + "1. **Do not mix** precise and imprecise data types, and\n", + "2. actively expect `nan` results when working with `float` numbers as there are no **loud failures**.\n", + "\n", + "The **numerical tower** is Python's way of implementing various **abstract** ideas of what numbers are in mathematics." + ] + } + ], + "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": "3.8.6" + }, + "livereveal": { + "auto_select": "code", + "auto_select_fragment": true, + "scroll": true, + "theme": "serif" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": false, + "sideBar": true, + "skip_h1_title": true, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": { + "height": "calc(100% - 180px)", + "left": "10px", + "top": "150px", + "width": "384px" + }, + "toc_section_display": false, + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/README.md b/README.md index 4d3340b..098db41 100644 --- a/README.md +++ b/README.md @@ -136,6 +136,7 @@ Alternatively, the content can be viewed in a web browser [](https://mybinder.org/v2/gh/webartifex/intro-to-python/develop?urlpath=lab/tree/05_numbers/03_appendix.ipynb) (`Decimal` Type; `Fraction` Type) + - [summary ](https://nbviewer.jupyter.org/github/webartifex/intro-to-python/blob/develop/05_numbers/04_summary.ipynb) #### Videos