| 释义 |
proˈvector Math.
[See vector n. and provect.]
a. Quaternions: see quot. 1853.
b. Name for a particular kind of operator in the theory of Invariant Algebra.
1853Sir W. R. Hamilton Quaternions (1866) 1 Successive vectors, such as AB and BC, or B - A and C - B, are occasionally said to be vector and provector. Ibid. 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. 1858Cayley 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. |