physics chemistry maths science forums
become expert I help I sign up I login
refer a friend - earn nickels!!   
 advanced
 
Home
Ask & Discuss Questions
Study Material
Experts Zone
Hang Out!

Community Contributions - Articles by goIITians


  Back to Community Shelf like the article? email it to a friend. email this article!  
  A function that has no graph...but a simple definition..   3 Nickels awarded!
Tagged with:  Dirichlet     rational     irrational    [Post New]posted on 9 Mar 2007 22:23:12 IST    
Consider the function f(x) defined as:
 
f(x)= 1 , if x is rational
       = 0, if x is irrational
 
infact, for all the functions defined separately for rationals and irrationals, we have no graphs..
The above function is called as Dirichlet's function..
 		About the Author:
kghedriu (2333)

Blazing goIITian

Olaaa!! Perrrfect answer. 423  [532 rates]
kghedriu's Avatar
total posts: 544    
online Offline
 this article: 17 points  (with 3 Olaaa!! Perrrfect answer.   in 4 votes )   [?]
 
You have to be logged on to rate
  
siddharthsaxena
siddharthsaxena is offline comment by siddharthsaxena    (posted on 6 Jun 2007 16:49:50 IST)
thnxx
Go to:   

Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Narayana - Kota , Delhi , Others
Brilliant Tutorials - Class , Crash
Aakash Institute - Medical , Engg
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya