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单词 provector
释义

provectorn.1

Origin: Formed within English, by derivation. Etymons: pro- prefix2, vector n.
Etymology: < pro- prefix2 + vector n. Compare transvector n.
Mathematics. Obsolete. rare.
A vector which is to be added to another.
ΚΠ
1853 W. R. Hamilton Lect. Quaternions §27 We shall..be led to consider the line C-B as being a new and successive vector, which may be conveniently called..a provector.
a1865 W. R. Hamilton Elem. Quaternions (1866) i. 4 If a provector BC be added to a vector AB, the sum is the transvector AC; or in symbols, I..(B − A) + A = B; and II..(C − B) + (B − A) = C − A.
This entry has been updated (OED Third Edition, September 2007; most recently modified version published online June 2018).

provectorn.2

Brit. /prə(ʊ)ˈvɛktə/, U.S. /proʊˈvɛktər/
Origin: A borrowing from Latin, combined with an English element. Etymons: Latin prōvect- , prōvehere , -or suffix.
Etymology: < classical Latin prōvect-, past participial stem of prōvehere (see provect v.) + -or suffix. Compare provectant n. and contraprovector n.
Mathematics. Now rare.
A differential operator (of order greater than one) acting on a function of several variables, having the form of a quantic in which the variables are replaced by first-order differential operators.
ΚΠ
1858 A. Cayley Coll. Math. Papers II. 514 The Provector operating upon any contravariant gives rise to a contravariant, which may of course be an invariant. Any such contravariant, or rather such contravariant considered as so generated, may be termed a Provectant.
1878 Amer. Jrnl. Math. 1 118 Let the provector symbol..be denoted by Ω.
1909 N.E.D. at Provectant A covariant considered as the resultant of the operation of a provector on a contravariant.
This entry has been updated (OED Third Edition, September 2007; most recently modified version published online March 2022).
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