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바둑판을 이용한 흑백 게임의 최적해를 구하는 선형대수학 알고리즘

Linear algebra algorithm for the optimal solution in the Blackout game

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Abstract

For finding the optimal strategy in Blackout game which was introduced in the homepage of popular movie "Beautiful mind", we develope a mathematical proof and an algorithm with a software. We only use the concept of basis and knowledge of basic linear algebra. This process can be extended to the fullsize Go table problem and shows why we have to study mathematics at the college level.

참고문헌 (9)

  1. "바둑에서 휴리스틱 함수를 사용한 사활문제 풀이에 관한 연구 경북대전자기술연구지 15", pp.35~43 (1994)
  2. "선형대수학과 응용" (1998), 경문사
  3. "The Dots-and-Boxes Game: Sophisticated Child's Play." (2000), Natick,Mass.
  4. "Multilinear Algebra and Chess Endgames, Games of No Chance", 29, pp.151~192 (1996), Berkeley: MSRI Publications
  5. "A Unified introduction to linear algebra" (1988), Macmillan Pub. Inc.
  6. "Is the mathematics we do the mathematics we teach?, Contemporary issues in mathematics education", 36, pp.67~74 (1999), Berkeley: MSRI Publications
  7. "The research mathematician as storyteller, Contemporary issues in mathematics education,", 36, pp.45~56 (1999), Berkeley: MSRI Publications
  8. "JAVA 프로그램 by CJ entertainment Inc., 영화 뷰티풀 마인드 흑백(Blackout)게임" (2002)
  9. "JAVA 프로그램 by CJ entertainment Inc.영화 뷰티풀 마인드 흑백(Blackout)게임" (2002)

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