单词 | non-trivial |
释义 | non-trivialadj. 1. Mathematics. Such that not all variables or terms are zero or equal to an identity. ΘΚΠ the world > relative properties > number > algebra > [adjective] > relating to expressions interscendent1796 symmetrical1816 zeta-ic1840 associative1844 discriminantal1852 symmetric1853 discriminant1870 idempotent1870 interscendental1873 bilinear1886 non-trivial1901 left1926 right1930 1901 Amer. Jrnl. Math. 23 369 A linear substitution evidently replaces a trivial symbol by a trivial symbol and a non-trivial symbol by a non-trivial one. 1948 F. D. Murnaghan Introd. Applied Math. i. 12 n plane vectors are linearly dependent when, and only when, there exists a nontrivial linear combination of the n vectors which is the zero vector. 1990 T. Petrie & J. Randall Connections, Definite Forms, & Four-manifolds iii. 30 If L is a non-trivial complex line bundle over X with H1(X;Z2) = 0, then L admits no orientation-reversing bundle automorphism. 2. gen. Not trivial; significant, consequential. ΘΚΠ the mind > attention and judgement > importance > [adjective] > not little or trivial serious1782 non-trivial1940 1940 Mind 49 366 This view has non-trivial consequences. 1973 Sci. Amer. Feb. 81/2 The ratio of those who received nontrivial injuries was 70 percent higher among the unbelted than among the belted. 2000 Econ. & Philos. 16 165 A complex structure of values..must be grasped both when making non-trivial decisions and when understanding the choices of others. This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022). < adj.1901 |
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