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单词 octic
释义

octicadj.n.

Brit. /ˈɒktɪk/, U.S. /ˈɑktɪk/
Origin: A borrowing from Latin, combined with an English element. Etymons: Latin octo , -ic suffix.
Etymology: < classical Latin octo eight (see octo- comb. form) + -ic suffix. Compare earlier octavic adj.
Mathematics.
A. adj.
Of the eighth degree or order; = octavic adj.
ΘΚΠ
the world > relative properties > number > specific numbers > eight > [adjective] > eighth > in order or degree
octic1869
1869 Philos. Trans. (Royal Soc.) 159 239 For the case VIII=12—B5,..the complete intersection is made up of the edge 4 times and of an octic curve.
1877 Encycl. Brit. VI. 726/1 ϕ is not expressible as the square root of an octic function of θ.
1916 G. A. Miller et al. Theory & Applic. Finite Groups i. 4 The Octic Group. There are eight movements of a plane which transform into itself a square situated in this plane.
1978 Amer. Math. Monthly 85 470 (heading) Rational octic and higher reciprocity laws.
1995 Ann. Math. 142 565 Let FH be a surface obtained from a union of four such sections by resolving singularities, so that F descends to a smooth octic curve in CP2.
B. n.
An octic equation, expression, or curve; = octavic n.
ΘΚΠ
the world > relative properties > number > algebra > [noun] > expression > the highest power of the variable > named according to this
cubical1676
cubic1799
quintic1851
quadric1854
sextic1855
octavic1856
octic1876
twelfthic1882
1876 Analyst 3 51 The solution of the biquabratic [read biquadratic] is known to depend on that of the cubic, and similarly that of the octic should depend upon that of the quintic.
1938 Duke Math. Jrnl. 4 285 Normal octics with the group G(2, 2, 2).
1990 Proc. Amer. Math. Soc. 109 632 Werner..computed the defect of several Čmutov-threefolds which are double solids ramified over explicitly given nodal octics.
This entry has been updated (OED Third Edition, March 2004; most recently modified version published online March 2022).
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adj.n.1869
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