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单词 half-integral
释义

half-integraladj.

Brit. /ˌhɑːfˈɪntᵻɡr(ə)l/, U.S. /ˌhæfˈɪn(t)əɡrəl/
Origin: Formed within English, by compounding. Etymons: half adj., integral adj.
Etymology: < half adj. + integral adj., after half-integer n.
Mathematics.
Belonging to the set of numbers obtained by dividing the odd integers by two; having the value of a half-integer.
ΘΠ
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half-integral1903
1903 Acta Mathematica 27 147 If we allow the formula which expresses a theta function of any characteristic, not necessarily half-integral, by the addition of certain constants.., we see that the equations are satisfied by sigma functions of quite arbitrary characteristic.
1968 M. S. Livingston Particle Physics ii. 24 Nuclei with an odd number of protons plus electrons, each with half-integral spin, should result in half-integral nuclear angular momenta.
2010 Guardian (Nexis) 14 Sept. (G2 section) 17 I carry on writing for myself about the separation between two reflected light waves being a half-integral number of wavelengths causing destructive interference.
This entry has been updated (OED Third Edition, December 2022).

> as lemmas

half-integral
half-integral adj.
ΚΠ
1930 A. E. Ruark & H. C. Urey Atoms, Molecules & Quanta vii. 187 Many authors use j + ½ instead, when j is half-integral.
1968 M. S. Livingston Particle Physics ii. 24 Nuclei with an odd number of protons plus electrons, each with half-integral spin, should result in half-integral nuclear angular momenta.
extracted from half-comb. form
<
adj.1903
as lemmas
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