수학동아 - 폴리매스

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Function: require_once

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Function: _error_handler

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: require_once

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Function: _error_handler

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Function: model

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Function: get_footer

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Function: require_once

함께 풀고 싶은 문제

창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.

[창의 퍼즐] 닮음

delta 2020.01.09 02:23 조회 662

문제 푼 사람 0명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

S{f(x)} 를 f(x)의 개형이라고 하자.

그러면, $S\{f(ax)\} \sim S\{af(x)\}$

를 증명하여라.

이전글 증명 2

다음글 기하 미분

이 문제 어떠셨나요?

글쎄요

어려워요

문제 찜하기 목록보기

댓글 작성하기

cube120 Lv.5 2020.01.09 10:24

개형의 수학적 정의, ~기호의 엄밀한 정의를 알려주세요.

댓글 작성하기 좋아요0 댓글수1
- delta Lv.7 2020.01.11 08:16
  
  개형은 그래프의 모양이고,
  
  ~ 기호는 닮음기호입니다.
  
  개형이라는 것의 엄밀한 정의를 말해보자면
  
  집합론적으로 그 함수 그 자체입니다.
  
  그 함수의 집합에 있는 모든 원소들을 좌표평면에 그린 것입니다.
  
  실수에서의 직선의 정의는 실수에서의 직선의 방정식이고, 실수에서의 원의 정의는 저희가 잘 아는 원의 방정식입니다.
  
  즉 그 함수는 그래프가 그리는 도형이라고도 할 수 있습니다.
  
  좋아요0

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