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separatrix

Chinese translation: 分界线

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
English term or phrase: separatrix Chinese translation: 分界线 Entered by: karcsy

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 KudoZ activity Questions: 36 (none open) (2 closed without grading) Answers: 867
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: 19:24
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 (X)
3 +3	分界线	karcsy
5	摆幅或振幅	happyzane

Discussion entries: 2
franksf ASKER 12:49 Dec 27, 2007  Dear Frank, Thank you for your pointer. Frank Wang China 01:25 Dec 26, 2007  You may also use "分界线环". Example: saddle separatrix 鞍形分界线环 属类：【自然科学】 --〖数学〗 Automatic update in 00:

  

Answers

24 mins   confidence: peer agreement (net): +3

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	karcsy Local time: 19:24 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.
Peer comments on this answer (and responses from the answerer) agree  Wenjer Leuschel (X) 4 mins   -> 感恩！ agree  orientalhorizon: “分界”应该也是可以的。 7 hrs   -> 感恩！ agree  J.H. Wang: 或分界面 8 hrs   -> 感恩！
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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。 -------------------------------------------------- Note added at 8 hrs (2007-12-26 02:22:36 GMT) -------------------------------------------------- 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 (X) Taiwan Local time: 19:24 Native speaker of: Chinese PRO pts in category: 20
Notes to answerer Asker: Thank you, Wenjen.
Peer comments on this answer (and responses from the answerer) agree  William He 7 hrs   -> Thanks. agree  orientalhorizon: “分界”应该也是可以的。 7 hrs   -> Thanks. agree  J.H. Wang: 或分界面 8 hrs
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1 day 12 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: 19:24 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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