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单词 rotation group
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rotation group
rotation group n. Mathematics the group (group n. 7) consisting of all rotations about the origin of three-dimensional space.
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1896 Amer. Jrnl. Math. 18 184 The isomorphism is hemihedrical as soon as, in the quaternary substitution group representing the rotation group, a simultaneous change of signs of all the 4 variables occurs.
1955 B. Higman Appl. Group-theoret. & Matrix Methods xii. 181 The rotation group in three dimensions is isomorphic with a factor group of the special unitary group in two dimensions containing half the number of elements.
1990 Glasgow Math. Jrnl. 32 326 If N = 2, 4, 8, 9, 16 we get one of the regular maps on the sphere..which explains why in these cases B/(N) is a finite rotation group.
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