Book Image

NumPy Cookbook

Book Image

NumPy Cookbook

Overview of this book

Today's world of science and technology is all about speed and flexibility. When it comes to scientific computing, NumPy is on the top of the list. NumPy will give you both speed and high productivity. "NumPy Cookbook" will teach you all about NumPy, a leading scientific computing library. NumPy replaces a lot of the functionality of Matlab and Mathematica, but in contrast to those products, it is free and open source. "Numpy Cookbook" will teach you to write readable, efficient, and fast code that is as close to the language of Mathematics as much as possible with the cutting edge open source NumPy software library. You will learn about installing and using NumPy and related concepts. At the end of the book, we will explore related scientific computing projects. This book will give you a solid foundation in NumPy arrays and universal functions. You will also learn about plotting with Matplotlib and the related SciPy project through examples. "NumPy Cookbook" will help you to be productive with NumPy and write clean and fast code.
Table of Contents (17 chapters)
NumPy Cookbook
Credits
About the Author
About the Reviewers
www.PacktPub.com
Preface
Index

Finding palindromic numbers


A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 x 99. Let's try to find the largest palindrome made from the product of two 3-digit numbers.

How to do it...

We will create an array to hold 3-digit numbers from 100 to 999 using our favorite NumPy function arange.

  1. Create a 3-digit numbers array.

    Check the first and last element of the array with the assert_equal function from the numpy.testing package:

    a = numpy.arange(100, 1000)
    numpy.testing.assert_equal(100, a[0])
    numpy.testing.assert_equal(999, a[-1])
  2. Create the products array

    Now, we will create an array to hold all the possible products of the elements of the 3-digits array with itself. We can accomplish this with the outer function. The resulting array needs to be flattened with ravel, to be able to easily iterate over it. Call the sort method on the array to make sure the array is properly sorted. After that, we can do some sanity checks...