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单词 non-trivial
释义

non-trivialadj.

Brit. /nɒnˈtrɪvɪəl/, U.S. /nɑnˈtrɪviəl/
Origin: Formed within English, by derivation. Etymons: non- prefix, trivial adj.
Etymology: < non- prefix + trivial adj.
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).
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adj.1901
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