May 2005
Intermediate to advanced
506 pages
9h 23m
English
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Chapter 5. Modular Arithmetic: Calculating with Residue Classes
Every fine story must leave in the mind of the sensitive reader an intangible residuum of pleasure...
——Willa Cather, Not Under Forty, "Miss Jewett"
We begin this chapter with a discussion of the principle of division with remainder. In relation to this we shall explain the significance of these remainders, their possible applications, and how one calculates with them. In order for the functions to be introduced later to be understandable, we begin with a bit of algebra.
We have seen that in division with remainder of an integer a € • by a natural number 0 < m € • one has the unique representation
Equation 5.1.
Here r is called the remainder after division of a by m or the residue of ...
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O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.