Skip to Content
Beginning Java Data Structures and Algorithms
book

Beginning Java Data Structures and Algorithms

by James Cutajar
July 2018
Beginner
202 pages
5h 4m
English
Packt Publishing
Content preview from Beginning Java Data Structures and Algorithms

The Master Method

The master method provides a way to solve recurrences of the following form:

T(n) = aT(n/b) + f(n)

Where: a >= 1 and b > 1 are constants, f(n) is an asymptotically positive function

The master method consists of three cases, which will allow you to solve these kind of recurrences quite easily. Before we delve into these three cases, it is important to note that the recurrence is not actually well defined, since n/b may not be an integer. Whether we replace it with the floor or ceiling of the n/b division will not affect the asymptotic behavior of the recurrence.

The big O notation describes the asymptotic upper bound of the growth rate of a function. There are also other notations to describe bounds on the growth rate of ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.

Read now

Unlock full access

More than 5,000 organizations count on O’Reilly

AirBnbBlueOriginElectronic ArtsHomeDepotNasdaqRakutenTata Consultancy Services

QuotationMarkO’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.
Head of Cybersecurity
QuotationMarkI 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.
Field Engineer
QuotationMarkI’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.
Data Platform Tech Lead
QuotationMarkI'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.
Mark W.
Embedded Software Engineer

You might also like

Java 9 Data Structures and Algorithms

Java 9 Data Structures and Algorithms

Debasish Ray Chawdhuri

Publisher Resources

ISBN: 9781789537178