"코쉬 행렬과 행렬식"의 두 판 사이의 차이
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(피타고라스님이 이 페이지의 이름을 코쉬 행렬과 행렬식로 바꾸었습니다.) |
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">이 항목의 스프링노트 원문주소</h5> | ||
+ | * [[코쉬 행렬과 행렬식]]<br> | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">개요</h5> | ||
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+ | <math>a_{ij}={\frac{1}{x_i-y_j}}</math> | ||
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+ | n=3인 경우 | ||
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+ | <math>\left( \begin{array}{ccc} \frac{1}{x_1-y_1} & \frac{1}{x_1-y_2} & \frac{1}{x_1-y_3} \\ \frac{1}{x_2-y_1} & \frac{1}{x_2-y_2} & \frac{1}{x_2-y_3} \\ \frac{1}{x_3-y_1} & \frac{1}{x_3-y_2} & \frac{1}{x_3-y_3} \end{array} \right)</math> | ||
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+ | 행렬식은 | ||
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+ | <math>-\frac{\left(-x_1+x_2\right) \left(-x_1+x_3\right) \left(-x_2+x_3\right) \left(y_1-y_2\right) \left(y_1-y_3\right) \left(y_2-y_3\right)}{\left(x_3-y_1\right) \left(-x_1+y_1\right) \left(-x_2+y_1\right) \left(x_2-y_2\right) \left(x_3-y_2\right) \left(-x_1+y_2\right) \left(x_1-y_3\right) \left(x_2-y_3\right) \left(x_3-y_3\right)}</math> | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">재미있는 사실</h5> | ||
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+ | |||
+ | |||
+ | * Math Overflow http://mathoverflow.net/search?q= | ||
+ | * 네이버 지식인 http://kin.search.naver.com/search.naver?where=kin_qna&query= | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">역사</h5> | ||
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+ | |||
+ | |||
+ | * http://www.google.com/search?hl=en&tbs=tl:1&q= | ||
+ | * [[수학사연표 (역사)|수학사연표]] | ||
+ | * | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">메모</h5> | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련된 항목들</h5> | ||
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+ | * [[힐버트 행렬]]<br> | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">수학용어번역</h5> | ||
+ | |||
+ | * 단어사전 http://www.google.com/dictionary?langpair=en|ko&q= | ||
+ | * 발음사전 http://www.forvo.com/search/ | ||
+ | * [http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=&fstr= 대한수학회 수학 학술 용어집]<br> | ||
+ | ** http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr= | ||
+ | * [http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&s_code_cd=MA 남·북한수학용어비교] | ||
+ | * [http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&globalmenu=7&localmenu=4 대한수학회 수학용어한글화 게시판] | ||
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+ | <h5>매스매티카 파일 및 계산 리소스</h5> | ||
+ | |||
+ | * | ||
+ | * http://www.wolframalpha.com/input/?i= | ||
+ | * http://functions.wolfram.com/ | ||
+ | * [http://dlmf.nist.gov/ NIST Digital Library of Mathematical Functions] | ||
+ | * [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences] | ||
+ | * [http://numbers.computation.free.fr/Constants/constants.html Numbers, constants and computation] | ||
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+ | * [[매스매티카 파일 목록]] | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">사전 형태의 자료</h5> | ||
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+ | * http://en.wikipedia.org/wiki/Cauchy_matrix | ||
+ | * http://en.wikipedia.org/wiki/ | ||
+ | * http://www.wolframalpha.com/input/?i= | ||
+ | * [http://dlmf.nist.gov/ NIST Digital Library of Mathematical Functions] | ||
+ | * [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]<br> | ||
+ | ** http://www.research.att.com/~njas/sequences/?q= | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련논문</h5> | ||
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+ | * http://www.jstor.org/action/doBasicSearch?Query= | ||
+ | * http://www.ams.org/mathscinet | ||
+ | * http://dx.doi.org/ | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련도서</h5> | ||
+ | |||
+ | * 도서내검색<br> | ||
+ | ** http://books.google.com/books?q= | ||
+ | ** http://book.daum.net/search/contentSearch.do?query= | ||
+ | * 도서검색<br> | ||
+ | ** http://books.google.com/books?q= | ||
+ | ** http://book.daum.net/search/mainSearch.do?query= | ||
+ | ** http://book.daum.net/search/mainSearch.do?query= | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련기사</h5> | ||
+ | |||
+ | * 네이버 뉴스 검색 (키워드 수정)<br> | ||
+ | ** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query= | ||
+ | ** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query= | ||
+ | ** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query= | ||
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+ | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">블로그</h5> | ||
+ | |||
+ | * 구글 블로그 검색<br> | ||
+ | ** http://blogsearch.google.com/blogsearch?q= | ||
+ | * [http://navercast.naver.com/science/list 네이버 오늘의과학] | ||
+ | * [http://www.ams.org/mathmoments/ Mathematical Moments from the AMS] | ||
+ | * [http://betterexplained.com/ BetterExplained] |
2011년 4월 25일 (월) 06:46 판
이 항목의 스프링노트 원문주소
개요
\(a_{ij}={\frac{1}{x_i-y_j}}\)
n=3인 경우
\(\left( \begin{array}{ccc} \frac{1}{x_1-y_1} & \frac{1}{x_1-y_2} & \frac{1}{x_1-y_3} \\ \frac{1}{x_2-y_1} & \frac{1}{x_2-y_2} & \frac{1}{x_2-y_3} \\ \frac{1}{x_3-y_1} & \frac{1}{x_3-y_2} & \frac{1}{x_3-y_3} \end{array} \right)\)
행렬식은
\(-\frac{\left(-x_1+x_2\right) \left(-x_1+x_3\right) \left(-x_2+x_3\right) \left(y_1-y_2\right) \left(y_1-y_3\right) \left(y_2-y_3\right)}{\left(x_3-y_1\right) \left(-x_1+y_1\right) \left(-x_2+y_1\right) \left(x_2-y_2\right) \left(x_3-y_2\right) \left(-x_1+y_2\right) \left(x_1-y_3\right) \left(x_2-y_3\right) \left(x_3-y_3\right)}\)
재미있는 사실
- Math Overflow http://mathoverflow.net/search?q=
- 네이버 지식인 http://kin.search.naver.com/search.naver?where=kin_qna&query=
역사
메모
관련된 항목들
수학용어번역
- 단어사전 http://www.google.com/dictionary?langpair=en%7Cko&q=
- 발음사전 http://www.forvo.com/search/
- 대한수학회 수학 학술 용어집
- 남·북한수학용어비교
- 대한수학회 수학용어한글화 게시판
매스매티카 파일 및 계산 리소스
- http://www.wolframalpha.com/input/?i=
- http://functions.wolfram.com/
- NIST Digital Library of Mathematical Functions
- The On-Line Encyclopedia of Integer Sequences
- Numbers, constants and computation
사전 형태의 자료
- http://en.wikipedia.org/wiki/Cauchy_matrix
- http://en.wikipedia.org/wiki/
- http://www.wolframalpha.com/input/?i=
- NIST Digital Library of Mathematical Functions
- The On-Line Encyclopedia of Integer Sequences
관련논문
관련도서
- 도서내검색
- 도서검색
관련기사
- 네이버 뉴스 검색 (키워드 수정)