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单词 similarity class
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similarity class
similarity class n. Mathematics a set consisting of all matrices which are similar (similar adj. 3c) to one another.
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the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > array > matrix > element or quality of
column1846
skew-symmetry1927
entry1928
off-diagonal1932
similarity class1952
1952 R. R. Stoll Linear Algebra & Matrix Theory vii. 176 The similarity classes of transformations are in one-one correspondence with the similarity classes of n × n matrices.
1975 S. Koh et al. tr. I. Satake Linear Algebra iii. 141 The set of all matrices which are similar to a given matrix is called the ‘similarity class’ of this matrix.
2010 B. Cooperstein Adv. Linear Algebra vi. 189 This has consequences for the similarity classes of real symmetric and Hermitian matrices.
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