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在"英语"词典里open set}的意思

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英语中OPEN SET的发音

open set play
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OPEN SET的语法类别

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OPEN SET在英语中的意思是什么?

点击查看«open set»在英语词典里的原始定义
点击查看在中文词典里此定义的自动翻译

打开集合

Open set

在拓扑中,一个开放集是一个抽象概念,概括了实线中的开放间隔的想法。 最简单的例子是度量空间,其中开放集可以被定义为在每个点附近包含开放球的那些集合; 但是,一般来说,一个开放集可以是非常抽象的:任何集合的集合都可以被称为open,只要任意数量的开放集合的联合是开放的,有限数量的开放集合是开放的, 空间本身是开放的。 这些条件非常松散,并且允许在选择开放套件时具有巨大的灵活性。 在两个极端,每一套都可以打开,或者没有设置可以打开,但是空间本身。 然而,实际上,通常选择开放集合类似于实线的开放间隔。 一个开放式集合的概念提供了一个基本的方式来说明拓扑空间中的点的接近度,而没有明确地具有定义的距离的概念。 一旦选择了开放式集合,就可以使用这些开放式集来定义连续性,连接性和紧凑性的属性,它们使用近似概念。 空间的开放集合的每个选择称为拓扑。 In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line. The simplest example is in metric spaces, where open sets can be defined as those sets which contain an open ball around each of their points; however, an open set, in general, can be very abstract: any collection of sets can be called open, as long as the union of an arbitrary number of open sets is open, the intersection of a finite number of open sets is open, and the space itself is open. These conditions are very loose, and they allow enormous flexibility in the choice of open sets. In the two extremes, every set can be open, or no set can be open but the space itself. In practice, however, open sets are usually chosen to be similar to the open intervals of the real line. The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined. Once a choice of open sets is made, the properties of continuity, connectedness, and compactness, which use notions of nearness, can be defined using these open sets. Each choice of open sets for a space is called a topology.

在英语 词典里open set的定义

字典中的开放集合的定义是一个不是封闭集合的集合。 开放集合的其他定义是实际行中的一个区间,不包括其终点,例如0和1之间的实数集合。

The definition of open set in the dictionary is a set which is not a closed set. Other definition of open set is an interval on the real line excluding its end points, as, the set of reals between, but excluding, 0 and 1.

点击查看«open set»在英语词典里的原始定义
点击查看在中文词典里此定义的自动翻译

OPEN SET一样开头的英语单词

open primary
open prison
open punctuation
open question
open sandwich
open scholarship
open season
open secret
open sentence
open sesame
open shop
open side
open slather
open source
open string
open system
open texture
open ticket
Open University
open up

OPEN SET一样开头的英语单词

battery set
box set
boxed set
character set
companion set
data set
dead set
drum set
flash set
generating set
jet set
nail set
smart set
socket set
solution set
starter set
tea set
television set
train set
universal set

英语近义词词典里open set的近义词和反义词

近义词

«open set»的25种语言翻译

翻译者
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OPEN SET的翻译

通过我们的英语多语言翻译器,找到open set25种语言翻译
该章节所呈现的将open set由 英语向其他语言的翻译是通过自动统计翻译获得的;在英语中基本的翻译单位是单词«open set»。

翻译者英语 - 中文

开集
1,325 数百万发言者

翻译者英语 - 西班牙语

conjunto abierto
570 数百万发言者

英语

open set
510 数百万发言者

翻译者英语 - 印地语

खुला सेट
380 数百万发言者
ar

翻译者英语 - 阿拉伯语

مجموعة مفتوحة
280 数百万发言者

翻译者英语 - 俄语

открытое множество
278 数百万发言者

翻译者英语 - 葡萄牙语

conjunto aberto
270 数百万发言者

翻译者英语 - 孟加拉语

খোলা তিল
260 数百万发言者

翻译者英语 - 法语

ouvert
220 数百万发言者

翻译者英语 - 马来语

Buka bijan
190 数百万发言者

翻译者英语 - 德语

offene Menge
180 数百万发言者

翻译者英语 - 日语

開集合
130 数百万发言者

翻译者英语 - 韩语

오픈 세트
85 数百万发言者

翻译者英语 - 印尼爪哇语

Mbukak sesame
85 数百万发言者
vi

翻译者英语 - 越南语

mở tập
80 数百万发言者

翻译者英语 - 泰米尔语

திறந்திடு சீசேம்
75 数百万发言者

翻译者英语 - 马拉地语

तीळ उघडा
75 数百万发言者

翻译者英语 - 土耳其语

Susam açmak
70 数百万发言者

翻译者英语 - 意大利语

insieme aperto
65 数百万发言者

翻译者英语 - 波兰语

zbiór otwarty
50 数百万发言者

翻译者英语 - 乌克兰语

відкрите безліч
40 数百万发言者

翻译者英语 - 罗马尼亚语

set deschis
30 数百万发言者
el

翻译者英语 - 希腊语

ανοιχτό σύνολο
15 数百万发言者
af

翻译者英语 - 布尔语(南非荷兰语)

oop stel
14 数百万发言者
sv

翻译者英语 - 瑞典语

öppen uppsättning
10 数百万发言者
no

翻译者英语 - 挪威语

åpen mengde
5 数百万发言者

open set的使用趋势

趋势

词语 «OPEN SET»的使用趋势

0
100%
频率
经常使用
54
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此处所显示的地图给出了词语«open set»在不同国家的使用频率。
open set的主要搜索趋势和常见用法
用户为查找我们的英语在线词典以及单词«open set»的最常用表达而进行的主要搜索的列表。

词语«OPEN SET» 随时间而变化的使用频率

该图表展现了单词«open set»在过去500年中的用法频率的每年演化其实施是基于分析词语«open set»从1500年到现在在 英语数字出版物中出现的频率。

open set的英语文献、引用和新闻中的使用范例

示例

«OPEN SET»相关的英语书籍

在以下的参考文献中发现open set的用法。与open set相关的书籍以及同一来源的简短摘要提供其在 英语文献中的使用情境。
1
Set Theory and Metric Spaces
Proof: Any open ball is an open set (Theorem 27), so by Theorem 28 a union of open balls is open. Conversely, let U be open. For any x in U we have that a suitable S,(x) is contained in U. Evidently U is the union of all these S,(x)'s. Remark: In ...
Irving Kaplansky, 2001
2
Introduction to General Topology
Neighbourhoods, Interior and Accumulation Points (2.1) Definition: Let (X; 3) be a topological space, XQ e X and N c X. Then N is said to be a neighbourhood of x0 or x0 is said to be an interior point of N (each w.r.t. •J) if there is an open set V ...
K. D. Joshi, 1983
3
The Collected Papers of R.h. Bing
For the Euclidean plane give an example of (a) a closed set, (b) an open set, (c) a set neither open nor closed, and (d) a set that is both open and closed. Exercise 19. What would need to be proved to show that the closure of each set is closed ...
R. H. Bing, Sukhjit Singh, Steve Armentrout, 1998
4
Elements of Operator Theory
A subset V of a metric space X is closed in X if its complement X\ V is an open set in X. Theorem 3.22. If X is a metric space, then (a) the whole set X and the empty set 0 are closed, (b) the union of a finite collection of closed sets is closed, ...
Carlos S. Kubrusly, 2001
5
Introductory Real Analysis
Every open set G on the real line is the union of a finite or countable system of pairwise disjoint open intervals.-" Proof. Let x be an arbitrary point of G. By the definition of an open set, there is at least one open interval containing x and ...
A. N. Kolmogorov, S. V. Fomin, 1975
6
Cochlear Implants: Principles & Practices
Most CI test batteries utilize both open- and closed-set objective test measures of speech understanding in auditory-only conditions. Open-set tests are those in which the listener theoretically has an unlimited number of response possibilities.
John K. Niparko, 2009
7
Encyclopedia of General Topology
(Semi-Open Set etc.) 1. 6-closed and 5-closed sets A subset A of a topological space (X, 1) is called regular open if A : Int(Cl(A)). The complement of a regular open set is called regular closed. A point x G X is called a 6-cluster (5-cluster) point ...
K.P. Hart, Jun-iti Nagata, J.E. Vaughan, 2003
8
Essentials of Audiology
The patient must select it from among four closed-set alternatives. 6. The everyday sounds test is an open-set task in which the patient must identify 15 familiar sounds (a doorbell, people talking, etc.). 7. The initial consonants test is a 52-item ...
Stanley A. Gelfand, 2011
9
Topology
"As textbook and reference work, this is a valuable addition to the topological literature." — Mathematical Reviews Designed as a text for a one-year first course in topology, this authoritative volume offers an excellent general ...
John G. Hocking, Gail S. Young, 2012
10
Point set topology
If Q is an open set in Y, then 0 : f-1(Q) is an open set in X. Therefore 0 is the union of some sets Beg and so Q =f(O) is a union of some of the sets f(B) ef(§?). Hence is a base for the topology on Y. Now let us suppose that is a base for Y. Then ...
Steven A. Gaal, 1964

包含词语«OPEN SET»的新条目

找出国内和国际出版社所讨论的内容,以及词语open set在以下新条目的上下文中是如何使用的。
1
Agnesian HealthCare Foundation's Charity Open set
On Monday, Aug. 17, golf enthusiasts will be enjoying a day of fun at the South Hills Golf & Country Club in Fond du Lac. However, there is a ... «Fond du Lac Reporter, 七月 15»
2
AVP Manhattan Beach Open Set For August 13-16
The AVP Manhattan Beach Open, presented by Acer, is set for August 13-16 just south of the Manhattan Beach Pier. In addition to top-notch ... «Culver City Observer, 七月 15»
3
Ranch Hand Rodeo this weekend
There is a five-class open set, which includes both men and women, but also a three-class women's team set that doesn't involve the roping ... «Airdrie Echo, 七月 15»
4
Fall open set for $80 million investment at Cherokee Casino & Hotel …
Cherokee Casino & Hotel Roland is eyeing a fall opening for the hotel portion of its new $80 million “premier entertainment development. «The City Wire, 七月 15»
5
Jordan Spieth leads criticism of R&A with the Open set for Monday …
Jordan Spieth plays his second shot on the 15th at St Andrews. He ended his second round five shots adrift of the leader, Dustin Johnson. «The Guardian, 七月 15»
6
The Open set for Monday finish as wind moves moving day at St …
The Open set for Monday finish as wind moves moving day at St Andrews. • R&A confirm final round will be played on Monday for second time ... «The Guardian, 七月 15»
7
The Open set for Monday finish for first time since 1988 as 45mph …
The Open will finish on a Monday for the first time since 1988 and just the second time ever after severe weather caused chaos at St Andrews ... «Daily Mail, 七月 15»
8
British Open set for Monday finish?
St Andrews, Scotland - The 144th British Open was blown further off schedule on Saturday as a howling gale forced a suspension around half ... «Independent Online, 七月 15»
9
Live from The Open: ESPN, IMG Media Innovate with Rotating Studio
Taller Structures built a circular track under the ESPN British Open set that allows it to turn and offer different backdrops. The big innovation this ... «Sports Video Group, 七月 15»
10
Mike Weir Withdraws From Canadian Open For Personal Reasons …
Mike Weir has withdrawn from the RBC Canadian Open set for next week at Glen Abbey Golf Club. Weir's agent Danny Fritz tells The Canadian ... «Huffington Post Canada, 七月 15»

参考文献
« EDUCALINGO. Open set [在线]. 可用 <https://educalingo.com/zh/dic-en/open-set>. 五月 2024 ».
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