请输入您要查询的英文单词:

 

单词 equicontinuous
释义

> as lemmas

equicontinuous
equicontinuous adj.
Brit. /ˌiːkwᵻkənˈtɪnjʊəs/
,
/ˌɛkwᵻkənˈtɪnjʊəs/
,
U.S. /ˌɛkwəkənˈtɪnjuəs/
,
/ˌɛkwikənˈtɪnjuəs/
,
/ˌikwəkənˈtɪnjuəs/
,
/ˌikwikənˈtɪnjuəs/
Mathematics of a set of functions fi(x): having the property that for all x1 and all ε > o there corresponds a δ > o such that, if |xx1| < δ, |fi(x) − fi(x1) | < ε for all i. [Translating Italian egualmente continuo (C. Arzelà 1895, in Mem. d. R. Accad. d. Sci. dell'Ist. di Bologna V. 226).]
ΚΠ
1926 E. W. Hobson Theory of Functions of Real Variable (ed. 2) II. ii. 168 In case the family of continuous functions is such that, for each value of ε, a single set of sub-intervals or sub-cells can be so determined that, for every function f(x) of the family, the fluctuation in a sub-interval, or a sub-cell, of a set, is less than ε, the family is said to consist of equi-continuous functions.
1959 G. James & R. C. James Math. Dict. (ed. 2) 21/1 Ascoli's theorem. From any set of uniformly bounded functions equicontinuous on a bounded closed (compact) set (such as a closed interval) it is possible to select an infinite sequence which converges uniformly to a limit function which is also continuous.
extracted from equi-comb. form
<
as lemmas
随便看

 

英语词典包含1132095条英英释义在线翻译词条,基本涵盖了全部常用单词的英英翻译及用法,是英语学习的有利工具。

 

Copyright © 2004-2022 Newdu.com All Rights Reserved
更新时间:2025/3/21 21:50:24