Tag Archives: 이재석

Concluding 2011 Spring

Thanks all for participating POW actively. Here’s the list of winners:

1st prize: Park, Minjae (박민재) – 2011학번

2nd prize: Kang, Dongyub (강동엽) – 전산학과 2009학번

3rd prize: Suh, Gee Won (서기원) – 수리과학과 2009학번
3rd prize: Lee, Jaeseok (이재석) – 수리과학과 2007학번

Congratulations!

In addition to these three people, I selected one more student to receive one notebook.

Kim, Ji Won (김지원) -수리과학과 2010학번

박민재 (2011학번) 31pts
강동엽 (2009학번) 24pts
서기원 (2009학번) 16pts
이재석 (2007학번) 16pts
김지원 (2010학번) 12pts
김치헌 (2006학번) 5pts
김인환 (2010학번) 3pts
김태호 (2011학번) 3pts
양해훈 (2008학번) 3pts
이동민 (2009학번) 2pts

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Solution: 2011-5 Linear function on matrices

Find all linear functions f on the set of n×n matrices such that f(XY)=f(YX) for every pair of n×n matrices X and Y.
Added: The value f(X) is a scalar.

The best solution was submitted by Jesek Lee (이재석), 수리과학과 2007학번. Congratulations!

Here is his Solution of Problem 2011-5.

Alternative solutions were submitted by 강동엽 (전산학과 2009학번, +3), 박민재 (2011학번, +3), 서기원 (수리과학과 2009학번, +3), 조용화 (수리과학과 석사과정 2010학번, +3), 김지원 (2010학번, +3), 어수강 (홍익대학교 수학교육학과 2004학번, +3), 변범부 (경남대학교 수학교육과 2005학번, +3). One incorrect solution was submitted.

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Solution: 2011-2 Power

Prove that for all positive integers m and n, there is a positive integer k such that \[ (\sqrt{m}+\sqrt{m-1})^n = \sqrt{k}+\sqrt{k-1}.\]

The best solution was submitted by Jesek Lee (이재석), 수리과학과 2007학번. Congratulations!

Here is his Solution of Problem 2011-2.

Alternative solutions were submitted by 김인환 (2010학번, +3), 박민재 (2011학번, +3), 김지원 (2010학번, +3),강동엽 (전산학과 2009학번, +3), 서기원 (수리과학과 2009학번, +3), 김재훈 (EEWS대학원 2010학번, +3), 김현수 (한국과학영재학교 3학년, +3), 어수강 (홍익대학교 수학교육학과 2004학번, +3).

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