torus (pl. tori)

Chinese汉语 translation: 环面;圆环面

词条(来自下列问题)
English英语词条或短语:torus (pl. tori)
Chinese汉语翻译:环面;圆环面
输入者: karcsy

17:14 Dec 25, 2007
English英语至Chinese汉语翻译 [专业]
Science - 数学与统计 / Classical (Hamiltonian) mechanics
English英语词条或短语: torus (pl. tori)
"In action-angle variables, the motion maps out a torus in the 4-dimensional phase space."
Is there a more "professional" term than 面包圈? Thank you.
franksf
环面;圆环面
说明:
数值离散化对环面分支结构的影响Torus Bifurcation Under Discretization奇摄动下的共振不变环面分支BIFURCATION OF RESONANT INVARIANT TORUS IN ... 时变小扰动HamiltOn系统的HOPf分岔HOPF BIFURCATION IN A THREE-DIMENSIONAL AND ...
scholar.ilib.cn/A-dbsx-e200202010.html - 类似网页

http://www.babylon.com/definition/torus/Chinese (S)
Torus
[der] pl.Tori [数学]环面。圆环面。
获选答案来自:

karcsy
Local time: 22:31
Grading comment
Thank you.
已将4分KudoZ分数奖给该答案



所提供的全部翻译如下:
3 +5环面;圆环面
karcsy
4 +1环形圆纹曲面
Wenjer Leuschel (X)


参与讨论: 1





  

回答


6分钟   信心度: Answerer confidence 4/5Answerer confidence 4/5 同仁同意(净值): +1
环形圆纹曲面


说明:
http://www.myoops.org/twocw/mit/Mathematics/18-996VPGeneral-...

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Note added at 7 mins (2007-12-25 17:22:30 GMT)
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http://post.baidu.com/f?kz=133013203

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Note added at 12 mins (2007-12-25 17:27:05 GMT)
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在两维或更多维的情形下,还可以有其他类型的轨迹和极限集。例如,一个环可以是反对称的轨迹极限集(图2.9);在三维系统中,可能出现环形圆纹曲面的极限集,甚至是其他更奇怪的极限集。
http://post.baidu.com/f?kz=133013203

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Note added at 25 mins (2007-12-25 17:40:25 GMT)
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注意:你的问题里谈的是某个动作在四维相位空间里投射出来的轨迹,但是在所有二维或三维的表达里,我们很可能看不见“曲面”,所以会有人使用比较具象、通俗的“面包圈”称法。

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Note added at 42 mins (2007-12-25 17:56:58 GMT)
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某个“动作”应该是“运动”。

Wenjer Leuschel (X)
台湾
Local time: 22:31
母语: Chinese汉语
此类别中专业问题的积分: 20
给答者的备注
提问者: Dear Wenjer, It is indeed visible, see, e.g., http://www.rdrop.com/~half/math/torus/illustrating.html


同仁对此翻译的评论(以及回答者的回复)
同意  William He
7小时
  -> Thanks.
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42分钟   信心度: Answerer confidence 3/5Answerer confidence 3/5 同仁同意(净值): +5
环面;圆环面


说明:
数值离散化对环面分支结构的影响Torus Bifurcation Under Discretization奇摄动下的共振不变环面分支BIFURCATION OF RESONANT INVARIANT TORUS IN ... 时变小扰动HamiltOn系统的HOPf分岔HOPF BIFURCATION IN A THREE-DIMENSIONAL AND ...
scholar.ilib.cn/A-dbsx-e200202010.html - 类似网页

http://www.babylon.com/definition/torus/Chinese (S)
Torus
[der] pl.Tori [数学]环面。圆环面。

karcsy
Local time: 22:31
母语: Chinese汉语
此类别中专业问题的积分: 16
Grading comment
Thank you.

同仁对此翻译的评论(以及回答者的回复)
同意  Xiaoping Fu
5小时
  -> 感恩!

同意  orientalhorizon: 大陆数学方面的书籍多称“环面、圆回旋面、圆回旋体(如果连其实芯也算上的话)”
7小时
  -> 感恩!

同意  Frank Wang: I prefer "环面" or "超环面" . Exmaple: torus function 环面函数. Pls see my note above. T32 【数学】A toroid generated by a circle; a surface having the shape of a doughnut. 环面,环形圆纹曲面圆圈形成的超环面;具有炸面圈一样形状的表面 Also called:In this sense, also called tore
7小时
  -> 感恩!

同意  Jinhang Wang
9小时
  -> 感恩!

同意  Danbing HE
1天 9小时
  ->  感恩!
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