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Applying Math with Python

You're reading from   Applying Math with Python Over 70 practical recipes for solving real-world computational math problems

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Product type Paperback
Published in Dec 2022
Publisher Packt
ISBN-13 9781804618370
Length 376 pages
Edition 2nd Edition
Languages
Concepts
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Author (1):
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Sam Morley Sam Morley
Author Profile Icon Sam Morley
Sam Morley
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Table of Contents (13) Chapters Close

Preface 1. Chapter 1: An Introduction to Basic Packages, Functions, and Concepts 2. Chapter 2: Mathematical Plotting with Matplotlib FREE CHAPTER 3. Chapter 3: Calculus and Differential Equations 4. Chapter 4: Working with Randomness and Probability 5. Chapter 5: Working with Trees and Networks 6. Chapter 6: Working with Data and Statistics 7. Chapter 7: Using Regression and Forecasting 8. Chapter 8: Geometric Problems 9. Chapter 9: Finding Optimal Solutions 10. Chapter 10: Improving Your Productivity 11. Index 12. Other Books You May Enjoy

Finding interior points

One problem with working with two-dimensional figures in a programming environment is that you can’t possibly store all the points that lie within the figure. Instead, we usually store far fewer points that represent the figure in some way. In most cases, this will be a number of points (connected by lines) that describe the boundary of the figure. This is efficient in terms of memory and makes it easy to visualize them on screen using Matplotlib patches, for example. However, this approach makes it more difficult to determine whether a point or another figure lies within a given figure. This is a crucial question in many geometric problems.

In this recipe, we will learn how to represent geometric figures and determine whether a point lies within a figure or not.

Getting ready

For this recipe, we will need to import the matplotlib package (as a whole) as mpl and the pyplot module as plt:

import matplotlib as mpl
import matplotlib.pyplot as...
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