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수학동아 - 폴리매스
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[잡담] 단순문제에 대한 정의
리퍼 2021.03.05 22:51 조회 593

단순문제에 대해 약간 잘못 알고 있는 사람들이 있는 것 같아서 올려봅니다.

 

1. 정의

단순문제는 엄밀히 말하자면 "단순한 문제"가 아닌 "성의 없는 문제"입니다.

성의 없는 문제의 대부분이 단순하기 때문에 단순문제라고 부르는 것입니다.

 

2. 단순문제에 대한 오해

  ① 쉬우면 단순문제?

      쉽다고 해서 단순문제인 것도 아니고, 어렵다고 해서 단순문제가 아닌 것도 아닙니다.

      가령, "푸앵카레의 추측을 증명하시오"같은 문제는 어렵긴 하겠지만 단순문제입니다.

  ② 짧으면 단순문제?

      위에서 말했듯이 짧더라도 자신의 연구를 통해 낸 문제라면 단순문제가 아닐 수도 있습니다.

      오히려 간단해보이는데 진짜 어려운 문제면 더 좋죠.

  ③ 유명한 문제면 단순문제?

      이건 살짝 애매하긴 한데...

      스토리를 추가 하거나 약간 변형 시키는 식으로 하면 단순문제가 아닙니다.

      다만 인터넷에 올라와있는 것과 완전 똑같으면 단순문제라고 해도 될 것 같네요.

 

 

일부 주관적인 내용이 포함되어있을 수 있습니다.

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