----- Original Message ----- 
From: Byungchan Kim (bkim4@illinois.edu)
To: Y.C. Chen 
Sent: Wednesday, February 03, 2010 12:48 AM
Subject: A comment on your recent paper on Lebesgue Identity


Dear Prof. Chen


 I read your recent paper on Lebesgue Identity=from ArXiv.

 It was really interesting and pleased to read!! I th=nk your map is the simplest among the known one, so it's so elegant. 
 I just have a small comment. 


 How about adding one more line after saying it is clear that the map is reversible. Say, for revers= process, we can determine a partition comes from case 1 or case 2 since =ell(\alpha) \ge \beta_1 .  I don't know what to say, but it would be=clearer if you say how we can know a partition is constructed by case 1 or=2.




Best wishes,
Byungchan.