"의구 (Pseudosphere)"의 두 판 사이의 차이

2012년 1월 22일 (일) 05:29 판

[1]의 회전으로 얻어지는 곡면 [2]

\(E=\text{sech}^2(v)\), \(F=0\),\(G=\tanh ^2(v)\)
크리스토펠 기호
\(\begin{array}{ll} \Gamma _{11}^1 & 0 \\ \Gamma _{12}^1 & -\tanh (v) \\ \Gamma _{21}^1 & -\tanh (v) \\ \Gamma _{22}^1 & 0 \\ \Gamma _{11}^2 & \text{csch}(v) \text{sech}(v) \\ \Gamma _{12}^2 & 0 \\ \Gamma _{21}^2 & 0 \\ \Gamma _{22}^2 & \text{csch}(v) \text{sech}(v) \end{array}\)

@@ 6번째 줄: / 6번째 줄: @@
 <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>
+*  음의 상수곡률곡면<br>
 * [http://www.math.colostate.edu/%7Ecroke/math/summerGeom/documents/pseudosphere.pdf http://www.math.colostate.edu/~croke/math/summerGeom/documents/pseudosphere.pdf]<br>
+[https://lh6.googleusercontent.com/OriR23LjRnLDtmxu34JRepqxprNeVW-q_rsq7Prru1YML-PgPvjdr3Qsu_H6BWAhe5tVSpUEeTAgdJ9EsE6xUzJdlLLiLJXFD8M=w1600 ]의 회전으로 얻어지는 곡면 [https://lh4.googleusercontent.com/YpCjb2B566UglyaxBdQwPxyQYZKU6n9ObQlDWmZE8ixjPNZj7JwhuAZX777XDtjnLo7_2k9t617UNOEG8q4Vkj4qQKliBcmpndI=w1600 ]
+<h5 style="line-height: 2em; margin: 0px;">매개화</h5>
+*   <br>
+<h5 style="line-height: 2em; margin: 0px;">제1기본형식과 크리스토펠 기호</h5>
+* <math>E=\text{sech}^2(v)</math>, <math>F=0</math>,<math>G=\tanh ^2(v)</math><br>
+*  크리스토펠 기호<br><math>\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}</math><br>