| 释义 |
normed, a. Math.|nɔːmd|
[f. norm + -ed2.]
Having a norm.
1935Trans. Amer. Math. Soc. XXXVIII. 360 We now add the permanent assumption that 𝔅 is ‘normed’, that is, that there is associated with 𝔅 a rule assigning to every ξ {elem} 𝔅 a number ‖ ξ‖ called the ‘norm’ of ξ, and satisfying [etc.]. 1947Ibid. LXII. 193 A normed linear vector space is a Banach space..if it is furthermore complete. 1959L. F. Boron tr. Naimark (title) Normed rings. 1962C. Wexler Analytic Geom. ii. 29 The most important normed linear spaces are those that have one additional property, that of completeness. 1972A. G. Howson Handbk. Terms used in Algebra & Analysis xxii. 111 A space with a norm is known as a normed space; it is..a metric space with metric d(x, y) = ‖ x - y‖ . |