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Function: driver
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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Line: 22
Function: driver
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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Function: initiateCache
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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Line: 18
Function: _error_handler
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: model
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Line: 799
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: _error_handler
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: model
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: getFloatingMyInfo
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Line: 559
Function: get_footer
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
깊이 고민해볼 수 있는 수학 문제를 내는 곳입니다
(1) f : ℕ → ℕ 인 함수 f(x)가 다음 조건을 만족한다면 f(x)의 치역을 구하여라.
<조건>
임의의 자연수 k에 대해 k = a1*(1²) + a2*(2²) + a3*(3²) +........(a1,a2,a3,....는 모두
정수, a1 + a2 + a3 +....≥1)로 나타낼때 f(k) = min(a1 + a2 + a3 +......)이다. (단, min(x)는 x의 최솟값을 나타낸다.)
(2) g : ℕ → ℕ 인 함수 g(x)가 다음 조건을 만족한다면 max(g(x)) + 1/min(g(y)) 의 값을
구하여라. (단, max(x)는 x의 최댓값을 나타낸다.)
<조건>
임의의 자연수 m에 대해, m = a1*(2²) + a2*(3²) + a3*(4²) +........(a1,a2,a3,....는 모두
정수, a1 + a2 + a3 +....≥1)로 나타낼때 g(m) = min(a1 + a2 + a3 +......)이다.
2문제 모두 풀이 필수입니다.
지금 바로
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