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Meaning of "metric space" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF METRIC SPACE

metric space  [ˈmɛtrɪk speɪs] play
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GRAMMATICAL CATEGORY OF METRIC SPACE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Metric space 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 METRIC SPACE MEAN IN ENGLISH?

Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined. Those distances, taken together, are called a metric on the set. The most familiar metric space is 3-dimensional Euclidean space. In fact, a "metric" is the generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance. The Euclidean metric defines the distance between two points as the length of the straight line segment connecting them. Other metric spaces occur for example in elliptic geometry and hyperbolic geometry, where distance on a sphere measured by angle is a metric, and the hyperboloid model of hyperbolic geometry is used by special relativity as a metric space of velocities. A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces. In the most general definition of a metric space, the distance between set elements can be negative. Spaces like these are important in the theory of relativity.

Definition of metric space in the English dictionary

The definition of metric space in the dictionary is a set for which a metric is defined between every pair of points.

WORDS THAT RHYME WITH METRIC SPACE


aerospace
ˈɛərəˌspeɪs
airspace
ˈɛəˌspeɪs
apace
əˈpeɪs
backspace
ˈbækˌspeɪs
carapace
ˈkærəˌpeɪs
cyberspace
ˈsaɪbəˌspeɪs
headspace
ˈhɛdˌspeɪs
hydrospace
ˌhaɪdrəʊˈspeɪs
hyperspace
ˌhaɪpəˈspeɪs
interspace
ˌɪntəˈspeɪs
lipase
ˈlaɪpeɪs
loadspace
ˈləʊdˌspeɪs
meatspace
ˈmiːtˌspeɪs
MySpace
ˈmaɪˌspeɪs
outpace
aʊtˈpeɪs
pace
peɪs
phospholipase
ˌfɒsfəʊˈlaɪpeɪs
space
speɪs
subspace
ˈsʌbˌspeɪs
webspace
ˈwɛbspeɪs

WORDS THAT BEGIN LIKE METRIC SPACE

metric
metric grain
metric hundredweight
metric madness
metric martyr
metric system
metric ton
metrical
metrical psalm
metrically
metricate
metrication
metrician
metricise
metricism
metrics
metrification
metrified
metrifier
metrifies

WORDS THAT END LIKE METRIC SPACE

crawl space
deep space
disk space
double-space
floor space
free space
hair space
interstellar space
life space
linear space
living space
office space
outer space
personal space
sample space
single-space
snail´s pace
third space
topological space
vector space
work space

Synonyms and antonyms of metric space in the English dictionary of synonyms

SYNONYMS

Translation of «metric space» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF METRIC SPACE

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

Translator English - Chinese

度量空间
1,325 millions of speakers

Translator English - Spanish

espacio métrico
570 millions of speakers

English

metric space
510 millions of speakers

Translator English - Hindi

मीट्रिक अंतरिक्ष
380 millions of speakers
ar

Translator English - Arabic

الفضاء المتري
280 millions of speakers

Translator English - Russian

метрическое пространство
278 millions of speakers

Translator English - Portuguese

espaço métrico
270 millions of speakers

Translator English - Bengali

মেট্রিক স্থান
260 millions of speakers

Translator English - French

espace métrique
220 millions of speakers

Translator English - Malay

Ruang metrik
190 millions of speakers

Translator English - German

metrischen Raum
180 millions of speakers

Translator English - Japanese

距離空間
130 millions of speakers

Translator English - Korean

메트릭 공간
85 millions of speakers

Translator English - Javanese

Spasi metrik
85 millions of speakers
vi

Translator English - Vietnamese

không gian metric
80 millions of speakers

Translator English - Tamil

மெட்ரிக் ஸ்பேஸ்
75 millions of speakers

Translator English - Marathi

मेट्रिक स्पेस
75 millions of speakers

Translator English - Turkish

Metrik alan
70 millions of speakers

Translator English - Italian

spazio metrico
65 millions of speakers

Translator English - Polish

przestrzeń metryczna
50 millions of speakers

Translator English - Ukrainian

метричний простір
40 millions of speakers

Translator English - Romanian

spațiu metric
30 millions of speakers
el

Translator English - Greek

μετρικό χώρο
15 millions of speakers
af

Translator English - Afrikaans

metrieke ruimte
14 millions of speakers
sv

Translator English - Swedish

metriskt utrymme
10 millions of speakers
no

Translator English - Norwegian

metrisk rom
5 millions of speakers

Trends of use of metric space

TRENDS

TENDENCIES OF USE OF THE TERM «METRIC SPACE»

The term «metric space» is regularly used and occupies the 84.562 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
61
/100
The map shown above gives the frequency of use of the term «metric space» in the different countries.
Principal search tendencies and common uses of metric space
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «metric space».

FREQUENCY OF USE OF THE TERM «METRIC SPACE» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «metric space» during the past 500 years. Its implementation is based on analysing how often the term «metric space» 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 metric space

EXAMPLES

10 ENGLISH BOOKS RELATING TO «METRIC SPACE»

Discover the use of metric space in the following bibliographical selection. Books relating to metric space and brief extracts from same to provide context of its use in English literature.
1
Metric Space
This book Metric Space has been written for the students of various universities.
S.C. Sharma, 2006
2
Real Variables With Basic Metric Space Topology
Designed for a first course in real variables, this text encourages intuitive thinking and features detailed solutions to problems.
Robert B. Ash, 2009
3
Similarity Search: The Metric Space Approach
Part I of the text describes major theoretical principles, and provides an extensive survey of specific techniques for a large range of applications.
Pavel Zezula, Giuseppe Amato, Vlastislav Dohnal, 2006
4
Metric Spaces
Professor Copson's book provides a more leisurely treatment of metric spaces than is found in books on functional analysis.
E. T. Copson, 1988
5
Probability Measures on Metric Spaces
Having been out of print for over 10 years, the AMS is delighted to bring this classic volume back to the mathematical community.
K. R. Parthasarathy, 1982
6
Introduction to the Analysis of Metric Spaces
Although the text is titled metric spaces, normed linear spaces are introduced immediately because this added structure is present in many examples and its recognition brings an interesting link with linear algebra; finite dimensional ...
‎1987
7
Metric Spaces
As the proof that (R, d) is a metric space is no different from that of (xiii) of Example 1.2.2, it is not included. We shall only show that (R, d) is not complete. Consider the sequence {n}„>\ of natural numbers. Observe that d(n, m) \J\ + nVl + m2 ...
Satish Shirali, Harkrishan Lal Vasudeva, 2006
8
Topology of Metric Spaces
TOPOLOGY OF METRIC SPACES gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a ...
S. Kumaresan, 2011
9
Fixed Point Theory in Probabilistic Metric Spaces
The text is self-contained for a reader with a modest knowledge of the metric fixed point theory. Several themes run through this book.
O. Hadzic, Endre Pap, 2001
10
Metric Spaces of Non-Positive Curvature
The purpose of this book is to describe the global properties of complete simply connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by ...
Martin R. Bridson, André Häfliger, 1999

10 NEWS ITEMS WHICH INCLUDE THE TERM «METRIC SPACE»

Find out what the national and international press are talking about and how the term metric space is used in the context of the following news items.
1
Special Relativity and the Road Not Taken
Given a metric space (loosely, a set and a scheme for assigning ... between the image elements in the new metric space is equal to the ... «Science 2.0, Jun 15»
2
Top Hash Theory
Using the lense of blockchain topology, we can describe the nature and make-up of the crypto space in precise terms: it is a metric space made ... «newsBTC, May 15»
3
The Crypto Space
As previously mentioned, the blockchain is a metric space using difficulty as its continuous function, generated by a compact and connected set ... «newsBTC, May 15»
4
Emoji IQ test by TalkTalk Mobile reveals how well you know what the …
'More formally, we can place emoji and hashtags together with words into a common metric space where there are well-defined distances ... «Daily Mail, May 15»
5
Instagram maps use of the emoji's to see how they're replacing …
'More formally, we can place emoji and hashtags together with words into a common metric space where there are well-defined distances ... «Daily Mail, May 15»
6
Submit accurate Frames Per Second game data to increase your PC …
As mentioned, there are a metric space-ton of units to choose from, and each one is meticulously detailed, but of course once you're in the thick ... «Game Debate, Dec 14»
7
Lawrence Livermore explores the shape of data, expanding query …
Traditional topology assumes that what is being studied exists in a metric space in which the distance between points can be measured. «GCN.com, Jan 14»
8
Citizens of the Internet
... this place of no law that is the internet there will soon emerge a new law, completely different from that which organized our old metric space". «Huffington Post, Jan 14»
9
Triangulating Scientific “Truths”: an ignorant perspective
[12] our spacetime topology corresponds to a metric space, a common context, or conceptual framework. In an operational sense, this could be ... «h+ Magazine, Dec 12»
10
What's Voronoi, Dr. Evil Mad Scientist?
“In mathematics, a Voronoi diagram is a special kind of decomposition of a given space, e.g., a metric space, determined by distances to a ... «Wired News, Apr 12»

REFERENCE
« EDUCALINGO. Metric space [online]. Available <https://educalingo.com/en/dic-en/metric-space>. May 2024 ».
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