
Cantor canonical form
Find the Cantor canonical form of $\displaystyle \omega \cdot (\omega^{\omega}+1)+(\omega^{\omega}+1) \cdot \omega$.
Here the Cantor canonical form just means the Cantor normal form. I do not know how to find this form. I am stuck on this problem. I would appreciate some help. Thanks.
Link:
Ordinal arithmetic  Wikipedia, the free encyclopedia

This is Problem x12.26 from Moschovakis: Notes on Set Theory.
In order to save time of helpers, I want to mention that the same problem was posted in several forums:
http://www.mathhelpforum.com/mathhe...icalform.html
Art of Problem Solving • View topic  Cantor canonical form
S.O.S. Mathematics CyberBoard :: View topic  Cantor canonical form (I tried to give a solution here.)
http://www.mymathforum.com/viewtopic.php?f=27&t=13627
Cantor canonical form
(In my opinion, the OP should have done this, or at least he/she should post a message like this after he gets a satisfactory answer in one of the forums.)