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| Author : | Topic: physics | Bottom |
| saucer admin Posts : 673 A Good Tautology is Hard to Find! ![]() |
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| saucer admin Posts : 673 A Good Tautology is Hard to Find! ![]() |
- ![]() angular velocity The theta marks an angle of displacement as body b orbits. Angular velocity is the rate of change of with respect to time. - --Last edited by saucer on 2007-04-07 19:04:44 -- |
| saucer admin Posts : 673 A Good Tautology is Hard to Find! ![]() |
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| saucer admin Posts : 673 A Good Tautology is Hard to Find! ![]() |
- Courtesy: physorg QUOTE To completely understand orbifold and orbifold notation, a background in topology is required. For those who are ignorant of topology (including the author), the following is a helpful descrïption: One can think that orbifold notation as consisting of symbols that represent the generators of the group. An integer n indicate the presence of n-fold rotations. An asterisk "*" indicate presence of reflections. A cross "x" indicates presence of glide reflections. For example, the group 442 consists of two distinct sets of 4-fold rotations and a set of 2-fold rotations. If the numbers come after the asterisk, then it means those rotation centers are the intersection of mirror lines. For example, the group *442 has all rotations centered on mirror lines. The group 4*2 has only the 2-fold rotation on mirror lines. Conway emphasize that to think of orbifold notation as generators is really missing the point. The revolutionary feature of orbifold notation is that it uses topology to explain symmetry, and results a more geometric understanding than groups. (those interested in orbifold should see J. H. Conway's paper and related websites, the scanned article is available at the Reference Section) Of course, You knew all of that... However, some might need a refresher. - |
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