"측지선"의 두 판 사이의 차이

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<h5>이 항목의 스프링노트 원문주소</h5>
 
<h5>이 항목의 스프링노트 원문주소</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%;">개요</h5>
  
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*  다양체 M의 coordinate chart 에서 <math>\alpha(t)=(\alpha_1(t),\alpha_2(t),\cdots)</math> 로 표현되는 곡선이 측지선이 될 조건은 크리스토펠 기호를 사용하여 다음 미분방정식으로 쓸 수 있다<br><math>\frac{d^2\alpha_k }{dt^2} + \sum_{i,j}\Gamma^{k}_{~i j }\frac{d\alpha_i }{dt}\frac{d\alpha_j }{dt} = 0</math><br> 또는<br><math>\ddot{\alpha_k } + \Gamma^{k}_{~i j }\dot{\alpha_i}\dot{\alpha_j }= 0</math><br>
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*  다양체 M의 coordinate chart 에서 <math>\alpha(t)=(\alpha_1(t),\alpha_2(t),\cdots)</math> 로 표현되는 곡선이 측지선이 될 조건은 크리스토펠 기호를 사용하여 다음 미분방정식으로 쓸 수 있다<br><math>\frac{d^2\alpha_k }{dt^2} + \sum_{i,j}\Gamma^{k}_{~i j }\frac{d\alpha_i }{dt}\frac{d\alpha_j }{dt} = 0</math><br> 또는<br><math>\ddot{\alpha_k } + \sum_{i,j}\Gamma^{k}_{~i j }\dot{\alpha_i}\dot{\alpha_j }= 0</math><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%;">역사</h5>
 
<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=
 
* http://www.google.com/search?hl=en&tbs=tl:1&q=
 
* [[수학사연표 (역사)|수학사연표]]
 
* [[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>
  
 
* [http://www.math.sunysb.edu/%7Ebrweber/401s09/coursefiles/Lecture23.pdf ][http://www.math.sunysb.edu/%7Ebrweber/401s09/coursefiles/Lecture23.pdf http://www.math.sunysb.edu/~brweber/401s09/coursefiles/Lecture23.pdf]
 
* [http://www.math.sunysb.edu/%7Ebrweber/401s09/coursefiles/Lecture23.pdf ][http://www.math.sunysb.edu/%7Ebrweber/401s09/coursefiles/Lecture23.pdf http://www.math.sunysb.edu/~brweber/401s09/coursefiles/Lecture23.pdf]
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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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<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>
  
47번째 줄: 40번째 줄:
 
* [http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&s_code_cd=MA 남·북한수학용어비교]
 
* [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]
 
* [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 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://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]<br>
 
* [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=
 
** http://www.research.att.com/~njas/sequences/?q=
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* http://www.ams.org/mathscinet
 
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** 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>
  
97번째 줄: 82번째 줄:
 
** 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>
  

2012년 7월 13일 (금) 13:41 판

이 항목의 스프링노트 원문주소
  •  
  •  
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개요
  • 다양체 M의 coordinate chart 에서 \(\alpha(t)=(\alpha_1(t),\alpha_2(t),\cdots)\) 로 표현되는 곡선이 측지선이 될 조건은 크리스토펠 기호를 사용하여 다음 미분방정식으로 쓸 수 있다
    \(\frac{d^2\alpha_k }{dt^2} + \sum_{i,j}\Gamma^{k}_{~i j }\frac{d\alpha_i }{dt}\frac{d\alpha_j }{dt} = 0\)
    또는
    \(\ddot{\alpha_k } + \sum_{i,j}\Gamma^{k}_{~i j }\dot{\alpha_i}\dot{\alpha_j }= 0\)
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역사
메모
관련된 항목들
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수학용어번역
사전 형태의 자료
관련논문
관련도서
관련기사
블로그
원본 주소 "https://wiki.mathnt.net/index.php?title=측지선&oldid=19335"