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单词 similarity group
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similarity group
similarity group n. Mathematics (a) the group (group n. 7) consisting of all transformations mapping geometric figures to similar figures (see similarity transformation n. (a)); (b) the group of all transformations mapping mutually similar matrices to one another (see similarity transformation n. (b)); now rare.
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1915 Proc. Amer. Acad. Arts & Sci. 50 207 Then the subgroup of the similarity group which preserves angle are [sic] those for which b1 = b2.
1937 A. A. Albert Mod. Higher Algebra iv. 76 We are studying the invariants of matrices A under a group of transformations APAP−1 called the similarity group.
1995 IEEE Trans. Pattern Anal. & Machine Intelligence 17 810/2 The group of affine transformations includes the similarity group as a sub-group.
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