"의구 (Pseudosphere)"의 두 판 사이의 차이
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(피타고라스님이 이 페이지에 의구_(Pseudosphere)2.gif 파일을 등록하셨습니다.) |
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| 13번째 줄: | 13번째 줄: | ||
* [http://www.math.colostate.edu/%7Ecroke/math/summerGeom/documents/pseudosphere.pdf http://www.math.colostate.edu/~croke/math/summerGeom/documents/pseudosphere.pdf]<br> | * [http://www.math.colostate.edu/%7Ecroke/math/summerGeom/documents/pseudosphere.pdf http://www.math.colostate.edu/~croke/math/summerGeom/documents/pseudosphere.pdf]<br> | ||
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| 20번째 줄: | 19번째 줄: | ||
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| + | <h5 style="line-height: 2em; margin: 0px;">tractroid</h5> | ||
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| + | * [[추적선 (tractrix)|tractrix]][https://lh6.googleusercontent.com/OriR23LjRnLDtmxu34JRepqxprNeVW-q_rsq7Prru1YML-PgPvjdr3Qsu_H6BWAhe5tVSpUEeTAgdJ9EsE6xUzJdlLLiLJXFD8M=w1600 ] 의 회전으로 얻어지는 곡면<br> | ||
| + | * 매개화<br><math>\mathbf{x}(u,v)=(\cos (u) \text{sech}(v),\sin (u) \text{sech}(v),v-\tanh (v))</math><br> | ||
| − | + | [/pages/5797227/attachments/5761024 의구_(Pseudosphere)1.gif][/pages/5797227/attachments/5761026 의구_(Pseudosphere)2.gif] | |
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| 60번째 줄: | 62번째 줄: | ||
* [http://xahlee.org/surface/pseudosphere/pseudosphere.html ]http://xahlee.org/surface/pseudosphere/pseudosphere.html<br>[http://xahlee.org/surface/pseudosphere/pseudosphere.html ][http://xahlee.org/surface/pseudosphere/pseudosphere.html ]<br> | * [http://xahlee.org/surface/pseudosphere/pseudosphere.html ]http://xahlee.org/surface/pseudosphere/pseudosphere.html<br>[http://xahlee.org/surface/pseudosphere/pseudosphere.html ][http://xahlee.org/surface/pseudosphere/pseudosphere.html ]<br> | ||
* [http://www.math.colostate.edu/%7Ecroke/math/summerGeom/ http://www.math.colostate.edu/~croke/math/summerGeom/]<br> | * [http://www.math.colostate.edu/%7Ecroke/math/summerGeom/ http://www.math.colostate.edu/~croke/math/summerGeom/]<br> | ||
| − | + | * http://danielwalsh.tumblr.com/day/2010/12/11 | |
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2012년 2월 9일 (목) 01:27 판
이 항목의 스프링노트 원문주소
개요
- 음의 상수곡률곡면들을 칭하는 말
- 쌍곡기하학 의 발전에서 중요한 역할
tractroid
- tractrix[1] 의 회전으로 얻어지는 곡면
- 매개화
\(\mathbf{x}(u,v)=(\cos (u) \text{sech}(v),\sin (u) \text{sech}(v),v-\tanh (v))\)
[/pages/5797227/attachments/5761024 의구_(Pseudosphere)1.gif][/pages/5797227/attachments/5761026 의구_(Pseudosphere)2.gif]
제1기본형식과 크리스토펠 기호
- \(E=\text{sech}^2(v)\), \(F=0\),\(G=\tanh ^2(v)\)
- 크리스토펠 기호
\(\begin{array}{ll} \Gamma _{11}^1 & 0 \\ \Gamma _{12}^1 & -\tanh (v) \\ \Gamma _{21}^1 & -\tanh (v) \\ \Gamma _{22}^1 & 0 \\ \Gamma _{11}^2 & \text{csch}(v) \text{sech}(v) \\ \Gamma _{12}^2 & 0 \\ \Gamma _{21}^2 & 0 \\ \Gamma _{22}^2 & \text{csch}(v) \text{sech}(v) \end{array}\)
역사
메모
- [2]http://xahlee.org/surface/pseudosphere/pseudosphere.html
[3][4] - http://www.math.colostate.edu/~croke/math/summerGeom/
- http://danielwalsh.tumblr.com/day/2010/12/11
관련된 항목들
매스매티카 파일 및 계산 리소스
- https://docs.google.com/leaf?id=0B8XXo8Tve1cxOTIxMGRhNzAtNmY1OS00NzRlLWFkYTQtMzE2ZjlmZWM5NDdh&sort=name&layout=list&num=50
- http://www.wolframalpha.com/input/?i=
- http://functions.wolfram.com/
- NIST Digital Library of Mathematical Functions
- Abramowitz and Stegun Handbook of mathematical functions
- The On-Line Encyclopedia of Integer Sequences
- Numbers, constants and computation
- 매스매티카 파일 목록
수학용어번역
- 단어사전 http://www.google.com/dictionary?langpair=en%7Cko&q=
- 발음사전 http://www.forvo.com/search/
- 대한수학회 수학 학술 용어집
- pseudo-sphere 의구, 유사구면
- http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=Pseudo
- pseudo-sphere 의구, 유사구면
- 남·북한수학용어비교
- 대한수학회 수학용어한글화 게시판