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Meaning of "compactness" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF COMPACTNESS

compactness  [kəmˈpæktnɪs] play
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GRAMMATICAL CATEGORY OF COMPACTNESS

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Compactness is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES COMPACTNESS MEAN IN ENGLISH?

Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed and bounded. This notion is generalized to more general topological spaces in various ways. For instance, a space is sequentially compact if any infinite sequence of points sampled from the space must eventually, infinitely often, get arbitrarily close to some point of the space. The Bolzano–Weierstrass theorem states that a subset of Euclidean space is compact in this sense if and only if it is closed and bounded. Examples include a closed interval or a rectangle. Thus if one chooses an infinite number of points in the closed unit interval, some of those points must get arbitrarily close to some real number in that space. For instance, some of the numbers 1/2, 4/5, 1/3, 5/6, 1/4, 6/7, … get arbitrarily close to 0. The same set of points would not have, as a limit point, any point of the open unit interval; so the open unit interval is not compact. Euclidean space itself is not compact since it is not bounded.

Definition of compactness in the English dictionary

The definition of compactness in the dictionary is the quality of fitting neatly into a small space.

WORDS THAT RHYME WITH COMPACTNESS


alertness
əˈlɜːtnɪs
appropriateness
əˈprəʊprɪɪtnɪs
brightness
ˈbraɪtnɪs
completeness
kəmˈpliːtnɪs
correctness
kəˈrɛktnɪs
directness
daɪˈrɛktnɪs
eyewitness
ˈaɪˌwɪtnɪs
fitness
ˈfɪtnɪs
greatness
ˈɡreɪtnɪs
hotness
ˈhɒtnɪs
indirectness
ˌɪndɪˈrektnɪs
lightness
ˈlaɪtnɪs
robustness
rəʊˈbʌstnɪs
shortness
ˈʃɔːtnɪs
softness
ˈsɒftnɪs
strictness
ˈstrɪktnɪs
succinctness
səkˈsɪŋktnɪs
tightness
ˈtaɪtnɪs
unperfectness
ʌnˈpɜːfɪktnɪs
witness
ˈwɪtnɪs

WORDS THAT BEGIN LIKE COMPACTNESS

compact camera
compact disc
compact disc erasable
compact disc player
compact disc recordable
compact video disc
compact-disc player
compact-disc video
compacted
compactedly
compactedness
compactible
compactification
compactified
compactifies
compactify
compaction
compactly
compactor
compacture

WORDS THAT END LIKE COMPACTNESS

adeptness
aptness
aquafitness
bear witness
bluntness
business
deftness
expert witness
flatness
incorrectness
inertness
physical fitness
pleasantness
political correctness
promptness
quietness
sweetness
tartness
unfitness
vastness
wetness

Synonyms and antonyms of compactness in the English dictionary of synonyms

SYNONYMS

Translation of «compactness» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF COMPACTNESS

Find out the translation of compactness to 25 languages with our English multilingual translator.
The translations of compactness from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «compactness» in English.

Translator English - Chinese

紧凑
1,325 millions of speakers

Translator English - Spanish

compacidad
570 millions of speakers

English

compactness
510 millions of speakers

Translator English - Hindi

compactness
380 millions of speakers
ar

Translator English - Arabic

الاكتناز
280 millions of speakers

Translator English - Russian

компактность
278 millions of speakers

Translator English - Portuguese

compacidade
270 millions of speakers

Translator English - Bengali

সংহতি
260 millions of speakers

Translator English - French

compacité
220 millions of speakers

Translator English - Malay

Kekompakan
190 millions of speakers

Translator English - German

Kompaktheit
180 millions of speakers

Translator English - Japanese

簡潔さ
130 millions of speakers

Translator English - Korean

소형
85 millions of speakers

Translator English - Javanese

Kompak
85 millions of speakers
vi

Translator English - Vietnamese

chặt
80 millions of speakers

Translator English - Tamil

குறுக்கத்தன்மையில்
75 millions of speakers

Translator English - Marathi

कॉम्पॅक्टीनेस
75 millions of speakers

Translator English - Turkish

yoğunluk
70 millions of speakers

Translator English - Italian

compattezza
65 millions of speakers

Translator English - Polish

zwartość
50 millions of speakers

Translator English - Ukrainian

компактність
40 millions of speakers

Translator English - Romanian

compactitatea
30 millions of speakers
el

Translator English - Greek

συμπαγές
15 millions of speakers
af

Translator English - Afrikaans

kompaktheid
14 millions of speakers
sv

Translator English - Swedish

kompakthet
10 millions of speakers
no

Translator English - Norwegian

kompakthet
5 millions of speakers

Trends of use of compactness

TRENDS

TENDENCIES OF USE OF THE TERM «COMPACTNESS»

The term «compactness» is regularly used and occupies the 61.939 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
71
/100
The map shown above gives the frequency of use of the term «compactness» in the different countries.
Principal search tendencies and common uses of compactness
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «compactness».

FREQUENCY OF USE OF THE TERM «COMPACTNESS» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «compactness» during the past 500 years. Its implementation is based on analysing how often the term «compactness» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about compactness

EXAMPLES

10 ENGLISH BOOKS RELATING TO «COMPACTNESS»

Discover the use of compactness in the following bibliographical selection. Books relating to compactness and brief extracts from same to provide context of its use in English literature.
1
Compactness Methods for Nonlinear Evolutions
Some biographical comments and open problems are also included. This new edition contains a number of improvements, corrections and insertions which both simplify and update the material.
Ioan I Vrabie, 1995
2
Gromov's Compactness Theorem for Pseudo-Holomorphic Curves
Since then, pseudo-holomorphic curves have taken on great importance in many fields. The aim of this book is to present the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail.
Christoph Hummel, 1997
3
Compactness and Contradiction
There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and nonrigorous to be discussed in the formal literature.
Terence Tao, 2013
4
Topological Rings Satisfying Compactness Conditions
Results on totally bounded topological rings are also given and developed e.g. the structure theory for countably compact rings. This book will be invaluable to researchers and mathematicians with
M. Ursul, 2002
5
Measuring the compactness of political districting plans
The United States Supreme Court has long recognized compactness as an important principle in assessing the constitutionality of political districting plans.
Roland G. Fryer, Richard T. Holden, National Bureau of Economic Research, 2007
6
Concentration Compactness: Functional-An
This unique volume fulfills the need for a sourcebook that usefully combines a concise formulation of the method, a range of important applications, and background material concerning manifolds, non-compact transformations and functional ...
Kyril Tintarev, Karl-Heinz Fieseler, 2007
7
Entropy, Compactness and the Approximation of Operators
All mathematicians working in functional analysis and operator theory will welcome this work as a reference or for advanced graduate courses.
Bernd Carl, Irmtraud Stephani, 2008
8
Compactness Results for Pseudo-holomorphic Curves
Since their introduction by Gromov in 1985, pseudo-holomorphic curves have played an essential role in the study of symplectic topology.
Joel W. Fish, 2007
9
Limit Operators, Collective Compactness, and the Spectral ...
Simon N. Chandler-Wilde, Marko Lindner. Proof. Ify ∈ ˆY ⊂ X then Pny ∈ ̃Y ⊂ Y and PmPny = Pmy for all sufficiently large n. Further, by (i), P n y ≤ y . Thus, by Lemma 2.11 (iii), Pny s→ y. Thus the completion of ̃Y contains ˆY and in fact ...
Simon N. Chandler-Wilde, Marko Lindner, 2011
10
Quantitative Logic and Soft Computing: Vol 2
The notion of Strong-II Nβ-compactness is introduced for a complete distributive De Morgan algebra. The strong-II Nβ-compactness implies strong-I Nβ- compactness, hence it also implies Nβ-compactness, S∗-compactness and Lowen's fuzzy ...
Bing-Yuan Cao, Shuili Chen, Guojun Wang, 2010

10 NEWS ITEMS WHICH INCLUDE THE TERM «COMPACTNESS»

Find out what the national and international press are talking about and how the term compactness is used in the context of the following news items.
1
Boston thinks it's funny the NY Times just noticed their huge snow …
“That snowman's compactness means that he (or she) needs more energy to melt.” Alas, the pile is still there. Yep, it's July. Boston mayor Marty ... «Washington Post, Jul 15»
2
Gessler: Don't celebrate redistricting commissions
To its credit, our state Supreme Court has worked to keep counties in single districts. To its shame, it has ignored compactness standards. «The Denver Post, Jul 15»
3
Gun Test: Kimber Solo Crimson Carry
Since its introduction in 2011, the Solo has not been surpassed for compactness or ease of carry by any other 9mm. Still, when you pick up the ... «Daily Caller, Jul 15»
4
A Nation's Poet: Billy Collins
Writing, he said, became a welcome outlet for his subjectivity and emotions. “Part of the appeal is the suddenness and compactness of a poem ... «27east.com, Jul 15»
5
M&M Crane Hire adds Terex all terrains
We also liked the compactness of the crane combined with its low headroom.” “It will be available for general duties anywhere in the UK and we ... «KHL Group, Jul 15»
6
Hands-On With the Smallest GoPro Ever Made
It's an eight megapixel action camera with a 170-degree wide angle lens aimed at users who value compactness over all else. It's also the first ... «TIME, Jul 15»
7
PredSTP: a highly accurate SVM based model to predict sequential …
Comparison of the compactness of disulfide bonds in different types of tri-disulfide array containing peptides. Illustration of distances among the ... «BMC Blogs Network, Jul 15»
8
Kenny Carr – Idle Talk [TrackList follows] – Zoozazz
This tune has a serious but not somber compactness which is like a sonic sweet treat. The eight-minute “Reunions” sustains a sociable setting, ... «Audiophile Audition, Jul 15»
9
London's Airport Crisis
Considering the compactness of Europe overall, other airports are sometimes easier to get into from foreign cities. Politically, Prime Minister ... «Millionaire Corner, Jul 15»
10
Tactical Analysis: Argentina 6-1 Paraguay | Albiceleste exploit space …
This allowed Paraguay to maintain compactness in midfield but at the same time not concede too much space in the wide areas. As well as this, ... «Outside of the Boot, Jul 15»

REFERENCE
« EDUCALINGO. Compactness [online]. Available <https://educalingo.com/en/dic-en/compactness>. Apr 2024 ».
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