Tag Archives: 정진명

Concluding 2010 Fall

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

1st prize: Kim, Chiheon (김치헌) – 수리과학과 2006학번

2nd prize: Park, Minjae (박민재) – 한국과학영재학교 (KAIST 2011학번 입학예정)

3rd prize: Jeong, Jinmyeong (정진명) – 수리과학과 2007학번.

Congratulations!

In addition to these three people, I selected one more student to receive 2 movie tickets.

Jeong, Seong-Gu (정성구) – 수리과학과 2007학번.

김치헌 (2006학번) 28 pts
박민재 (KSA) 25 pts
정진명 (2007학번) 19 pts
정성구 (2007학번) 16 pts
서기원 (2009학번) 9 pts
심규석 (2007학번) 9 pts
권용찬 (2009학번) 3 pts
정유중 (2006학번) 3 pts
진우영 (KSA) 3 pts
서영우 (2010학번) 2 pts
오상국 (2007학번) 2 pts
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Solution: 2010-17 Two Hermitian Matrices

Let A, B be Hermitian matrices. Prove that tr(A2B2) ≥ tr((AB)2).

The best solution was submitted by Jeong, Jinmyeong (정진명), 수리과학과 2007학번. Congratulations!

Here is his Solution of Problem 2010-17.

Alternative solutions were submitted by 정성구 (수리과학과 2007학번, +3), 김치헌 (수리과학과 2006학번, +3), 박민재 (KSA-한국과학영재학교, +3).

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Solution: 2010-12 Make a nonsingular matrix by perturbing the diagonal

Let A be a square matrix. Prove that there exists a diagonal matrix J such that A+J is invertible and each diagonal entry of J is ±1.

The best solution was submitted by Jeong, Jinmyeong (정진명), 수리과학과 2007학번. Congratulations!

Here is his Solution of Problem 2010-12.

Alternative solutions were submitted by 권용찬 (수리과학과 2009학번, +3), 심규석 (수리과학과 2007학번, +3), 정성구 (수리과학과 2007학번, +3), 정유중 (2006학번, +3), 김치헌 (수리과학과 2006학번, +3), 박민재 (KSA-한국과학영재학교, +3), 서영우 (2010학번, +2), 서기원 (2009학번, +2), 오상국 (2007학번, +2). One of them has a non-constructive solution of Problem 2010-12.

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