| 单词 | similarity transformation |
| 释义 | > as lemmassimilarity transformation similarity transformation n. Mathematics (a) a transformation that maps geometric figures to similar figures (see similar adj. 3a). (b) a transformation that maps matrices to similar matrices (see similar adj. 3c). ΚΠ 1904 Proc. Edinb. Math. Soc. 1903–4 22 23 By rotation and similarity transformation, the one triangle can be transformed into the other. 1910 Amer. Jrnl. Math. 32 113 The matrices corresponding to the forms λ − AB−1, λ − A′B′−1 have, as their complete system of invariants under the similarity transformation, (I) their order, (II) the roots of their characteristic equations, (III) the exponents of their elementary divisors. 2007 M. Giaquinta & G. Modica Math. Anal. v. 183 Euclidean plane geometry is the study of the plane figures and of their properties that are invariant under similarity transformations. 2007 D. S. Watkins Matrix Eigenvalue Probl. ii. 53 We consider similarity transformations by matrices of a very simple form. < as lemmas |
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