IMO 2012: Day 1 Problem 2
Hey,nice problem. I also use the similar technique like Tahmid.
হার জিত চিরদিন থাকবেই
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
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Tahmid Hasan
- Posts:665
- Joined:Thu Dec 09, 2010 5:34 pm
- Location:Khulna,Bangladesh.
Re: IMO 2012: Day 1 Problem 2
I'm afraid it's NOT the Cauchy reverse technique.Cauchy reverse is used to change signs.For details you may check "Secrets in Inequalities" by Pham Kim Hung.(page 27 of the version I have)SANZEED wrote:Sorry,but forgot to share one thing. I think the process of expanding the term $(1+a_{k})$ is perhaps known as Cauchy Reverse Technique. I'm not sure,but I think I have read about this type of technique.
The solution posted in the IMO Compendium website also has the same solution.sm.joty wrote:Hey,nice problem. I also use the similar technique like Tahmid.
বড় ভালবাসি তোমায়,মা
Re: IMO 2012: Day 1 Problem 2
I am Sorry. Actually the Cauchy Reverse Technique means to change a singular expression into a difference of two expressions,then to estimate the second expression of this difference,which has a minus sign. Sorry for my wrong definition.$\color{blue}{\textit{To}} \color{red}{\textit{ problems }} \color{blue}{\textit{I am encountering with-}} \color{green}{\textit{AVADA KEDAVRA!}}$