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separatrix

Chinese translation: 分界线

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GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)

English term or phrase:	separatrix
Chinese translation:	分界线
Entered by:	karcsy

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17:37 Dec 25, 2007

English to Chinese translations [PRO]
Science - Mathematics & Statistics / Classical (Hamiltonian) mechanics

English term or phrase: separatrix

"A separatrix is the boundary that separates qualitatively different motions like libration and rotation of a pendulum." Thank you.

franksf

分界线

Explanation:
力学词汇@ Speciality Studying(专业学习)分界线 separatrix 亚谐波 subharmonic 软弹簧 soft spring ,softening ..... 涡线 vortex line 涡面 vortex surface 涡层 vortex layer 涡环 vortex ring ...
www.ceclub.cn/cgi-bin/topic.cgi?forum=72&show=0&topic=93 - 184k - 网页快照 - 类似网页

Selected response from:

karcsy
Local time: 22:37

Grading comment

I agree w/ "分界". Your ref. is classical mechanics, just as I indicated in the subtitle.
4 KudoZ points were awarded for this answer

Summary of answers provided

4 +3

分界线

Wenjer Leuschel

3 +3

分界线

karcsy

摆幅或振幅

happyzane

Discussion entries: 2

Answers

24 mins confidence:

peer agreement (net): +3

分界线

karcsy
Local time: 22:37
Native speaker of:

Chinese
PRO pts in category: 16

Grading comment

I agree w/ "分界". Your ref. is classical mechanics, just as I indicated in the subtitle.

Notes to answerer

Asker: Thank you, Karen.

28 mins confidence:

peer agreement (net): +3

分界线

Explanation:
在非欧几何里，分界线不能以二维、三维来理解，所以“线”并非欧氏几何里所说的“两点之间最近的距离是直线”里的“线”，而是在四维相位空间里形成的线，因此它当然不会是 a (border) line，而是 an (border) x-trix。但理解上还是可以称之为“分界线”。

我还没找到别人的译法，晚些再查找。

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Note added at 8 hrs (2007-12-26 02:22:36 GMT)
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这东西当然也有可能看不见，或是转成二维、三维的图像看起来不像“线”，和 tori 的情况一样，看得见的只是 mappings in 2-dimensional plane or in 3-dimensional space。

Wenjer Leuschel
Taiwan
Local time: 22:37
Native speaker of:

Chinese
PRO pts in category: 20

Notes to answerer

Asker: Thank you, Wenjen.

1 day12 hrs confidence:

摆幅或振幅

Explanation:
原文讲是区分振动或摆动的界线，那应该是指摆幅或振幅

happyzane
Local time: 22:37
Works in field
Native speaker of:

Chinese

Notes to answerer

Asker: Thank you, happyzane. The angle variable of libration is finite, say [-Pi, Pi], while the angle of rotation is not. Please see, e.g., http://en.wikipedia.org/wiki/Separatrix_(dynamical_systems), esp. the figure with the separatrix in red.

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Changes made by editors

Mar 20, 2009 - Changes made by karcsy:
Edited KOG entry	karcsy's old entry - "separatrix " => "分界线"
Dec 27, 2007 - Changes made by karcsy:
Created KOG entry	KudoZ term => KOG term

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