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单词 orthosymmetric
释义

orthosymmetricadj.

Brit. /ˌɔːθəʊsᵻˈmɛtrɪk/, U.S. /ˈˌɔrθoʊsəˈmɛtrɪk/
Origin: Formed within English, by compounding. Etymons: ortho- comb. form, symmetric adj.
Etymology: < ortho- comb. form + symmetric adj. In sense 1 after German orthosymmetrisch (H. Hankel Ueber eine Besondere Classe der Symmetrischen Determinanten (1861) 4). In sense 2 after orthosymmetry n. Compare earlier orthosymmetrical adj.
1. Mathematics. Designating a symmetric determinant or matrix in which all the constituents in the secondary diagonal (running from top right to bottom left), and likewise all those in each of the oblique rows parallel to it, are equal.Example of an orthosymmetric determinant:|abc||bcd||cde|
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1889 Cent. Dict. at Determinant Orthosymmetric determinant, one all the constituents of which, having the sum of the ordinal places of the row and column the same, are equal.
1978 Internat. Jrnl. Systems Sci. 9 922 Orthosymmetric and Toeplitz matrices can be related through use of the square matrix J which has units along the secondary diagonal and zeros elsewhere.
1981 Math. Operationsforschung u. Statistik Ser. Statistics 12 609 (heading) Expectation of the square root of an orthosymmetric determinant.
2. Crystallography. Symmetric about two (or three) axes at right angles to each other; spec. = orthorhombic adj. Obsolete. rare.
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the world > matter > chemistry > crystallography (general) > crystal (general) > crystal symmetry > [adjective] > types of > orthosymmetric
orthosymmetrical1880
orthosymmetric1890
1890 Cent. Dict. Orthosymmetric, having right symmetry.
1895 N. Story-Maskelyne Crystallogr. §421 The Ortho-symmetric or Ortho-rhombic system represents the most general case of a crystallographic plane-system referred to rectangular axes; [that] in which the parameters are all different, and the three axes are axes of orthosymmetry.
This entry has been updated (OED Third Edition, September 2004; most recently modified version published online March 2022).
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adj.1889
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