Glossary entry (derived from question below)
Dec 25, 2007 17:14
16 yrs ago
English term
torus (pl. tori)
English to Chinese
Science
Mathematics & Statistics
Classical (Hamiltonian) mechanics
"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.
Is there a more "professional" term than 面包圈? Thank you.
Proposed translations
+5
42 mins
Selected
环面;圆环面
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。
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。
Peer comment(s):
| agree |
Xiaoping Fu
5 hrs
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感恩！
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| agree |
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 hrs
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感恩！
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| agree |
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 hrs
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感恩！
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| agree |
Jinhang Wang
9 hrs
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感恩！
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| agree |
Danbing HE
1 day 9 hrs
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感恩！
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4 KudoZ points awarded for this answer.
Comment: "Thank you."
+1
6 mins
环形圆纹曲面
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”。
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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
--------------------------------------------------
Note added at 12 mins (2007-12-25 17:27:05 GMT)
--------------------------------------------------
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
--------------------------------------------------
Note added at 25 mins (2007-12-25 17:40:25 GMT)
--------------------------------------------------
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)
--------------------------------------------------
某个“动作”应该是“运动”。
Note from asker:
| Dear Wenjer, It is indeed visible, see, e.g., http://www.rdrop.com/~half/math/torus/illustrating.html |
Discussion
超环面由封闭曲线绕其所在平面某一轴旋转而生成的平面，这些旋转线都互不交叉或包含