School Assignment? Project Due Tomorrow? Chat LIVE With A Programming Expert!

Dream.In.Code > Programming Help > Other Languages

Welcome to Dream.In.Code
	Become an Expert! Join 307,149 Programmers for FREE! Get instant access to thousands of experts, tutorials, code snippets, and more! There are 1,715 people online right now. Registration is fast and FREE... Join Now! Chat LIVE With a Expert

theory of computation

theory of computation, ctions f: A → N and g: B → N where N is the set of natural

nmettu	24 Sep, 2009 - 09:03 AM Post #1
New D.I.C Head Joined: 21 Sep, 2009 Posts: 6	Let A and B be two countable sets (i.e., there exist bijections f: A → N and g: B → N where N is the set of natural numbers. Prove that AxB is also countable by constructing a bijection from AxB to N.
	This Post Was Helpful!

Register for Free to Make These Ads Go Away!

nmettu	RE: Theory Of Computation 24 Sep, 2009 - 09:04 AM Post #2
New D.I.C Head Joined: 21 Sep, 2009 Posts: 6	Is the set Q of all rational numbers (numbers that are the ratio of an integer over a natural number) a countable set? If so, prove it by construction (by constructing a bijection between Q and the set N of natural numbers). If not, prove it by contradiction (by assuming the contrary that Q is countable and getting a contradiction).
	This Post Was Helpful!

PsychoCoder	RE: Theory Of Computation 24 Sep, 2009 - 09:14 AM Post #3
I Code, Therefore I am Joined: 26 Jul, 2007 Posts: 14,937 Thanked: 517 times Dream Kudos: 11575 Expert In: VB, VB.Net, C#, SQL, ASP, ASP.Net, Web Development, HTML, CSS, Win32 API, Javascript, mySQL, J#, Boo.Net, jQuery My Contributions	Unfortunately we're not a "Hey come here and we'll do your homework/job for you" forum
	This Post Was Helpful!

Fast Reply

Reply to this topic

Start new topic

Display Mode: Standard · Switch to: Linear+ · Switch to: Outline

Track this topic · Email this topic · Print this topic · Subscribe to this forum

Time is now: 11/21/09 04:21PM

Invision Power Board v2.1.7 © 2009 IPS, Inc.

Licensed to: MediaGroup1

Advertising | Terms of Use | Privacy Policy | About Us | Site Map

Advertise on this site through Lake Quincy Media

Forum Index: Programming Help | C and C++ | VB6 | Java | VB.NET | C# | ASP.NET | PHP | ColdFusion | Perl and Python | Ruby | Databases | Other Languages | Game Programming | Mobile Development | Software Development | Computer Science | Industry News | Programming Tutorials | C++ Tutorials | Visual Basic Tutorials | Java Tutorials | VB.NET Tutorials | C# Tutorials | Linux Tutorials | PHP Tutorials | ColdFusion Tutorials | Windows Tutorials | HTML/JavaScript Tutorials | CSS Tutorials | Flash Tutorials | Web Promotion Tutorials | Graphic Design & Photoshop Tutorials | Software Development Tutorials | Database Tutorials | Other Language Tutorials | ASP.NET Tutorials | Game Programming Tutorials | WPF & Silverlight Tutorials |

Copyright 2001-2008 MediaGroup1 LLC, All Rights Reserved
A MediaGroup1 LLC Production - Version 6.0.2.1.36
Server: secure2

Search^Updated!w00t

Over 509,000 Pages! Advanced Forum Search

Live Help!

Be Social

Tutorials

Programming

Web Development

Reference Sheets

Code Snippets

DIC Chatroom

Join our IRC Chat

Bye Bye Ads

Monthly Drawing

Top Contributors

Top 10 Kudos This Month