Problem 2.5  Proof by induction
I got stuck solving this problem. I know it is a simple proof by induction, but there is something I keep missing here. Has anybody tried to solve it? Any hints would be greatly appreciated.

Re: Problem 2.5  Proof by induction
Oh I see now, thank you professor!

Re: Problem 2.5  Proof by induction
1 Attachment(s)
Hi,
After seeing the reply from Prof. Mostafa, I have attempted to solve problem 2.5. I have also attached my solution with this reply. However, I am not sure whether my approaches are right or not. It would be great if someone please validate my approaches. I know my approaches are naive, thus any pointer, how to improve this solution would be highly appreciated. Thank You. 
Re: Problem 2.5  Proof by induction
Your approach can work. To carry through your induction, you need an inequality like to allow you to connect the result after applying your induction hypothesis with what you are trying to prove.
You can also prove the result by induction on D, which is easier (instead of induction on N). Quote:

All times are GMT 7. The time now is 06:45 PM. 
Powered by vBulletin® Version 3.8.3
Copyright ©2000  2019, Jelsoft Enterprises Ltd.
The contents of this forum are to be used ONLY by readers of the Learning From Data book by Yaser S. AbuMostafa, Malik MagdonIsmail, and HsuanTien Lin, and participants in the Learning From Data MOOC by Yaser S. AbuMostafa. No part of these contents is to be communicated or made accessible to ANY other person or entity.