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Meaning of "Klein bottle" in the English dictionary

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DICTIONARY
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ETYMOLOGY OF THE WORD KLEIN BOTTLE

Named after Felix Klein (1849–1925) German mathematician.
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Etymology is the study of the origin of words and their changes in structure and significance.
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PRONUNCIATION OF KLEIN BOTTLE

Klein bottle  [klaɪn] play
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GRAMMATICAL CATEGORY OF KLEIN BOTTLE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Klein bottle 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 KLEIN BOTTLE MEAN IN ENGLISH?

Klein bottle

Klein bottle

In mathematics, the Klein bottle /ˈklaɪn/ is an example of a non-orientable surface; informally, it is a surface in which notions of left and right cannot be consistently defined. Other related non-orientable objects include the Möbius strip and the real projective plane. Whereas a Möbius strip is a surface with boundary, a Klein bottle has no boundary. The Klein bottle was first described in 1882 by the German mathematician Felix Klein. It may have been originally named the Kleinsche Fläche and then misinterpreted as Kleinsche Flasche, which ultimately led to the adoption of this term in the German language as well.

Definition of Klein bottle in the English dictionary

The definition of Klein bottle in the dictionary is a surface formed by inserting the smaller end of an open tapered tube through the surface of the tube and making this end contiguous with the other end.

WORDS THAT RHYME WITH KLEIN BOTTLE


airline
ˈɛəˌlaɪn
align
əˈlaɪn
aline
əˈlaɪn
baseline
ˈbeɪsˌlaɪn
Caroline
ˈkærəˌlaɪn
dateline
ˈdeɪtˌlaɪn
deadline
ˈdɛdˌlaɪn
decline
dɪˈklaɪn
headline
ˈhɛdˌlaɪn
hotline
ˈhɒtˌlaɪn
Klein
klaɪn
ligne
laɪn
line
laɪn
offline
ˈɒfˌlaɪn
online
ˈɒnˌlaɪn
outline
ˈaʊtˌlaɪn
pipeline
ˈpaɪpˌlaɪn
skyline
ˈskaɪˌlaɪn
timeline
ˈtaɪmˌlaɪn
underline
ˌʌndəˈlaɪn

WORDS THAT BEGIN LIKE KLEIN BOTTLE

Klaipeda
Klan
klangfarbe
Klanism
Klansman
Klansmen
klap
klatch
Klaus
Klausenburg
klavern
klaxon
kleagle
klebsiella
Klee
Kleenex
Klein
kleinhuisie
Kleist
Klemperer

WORDS THAT END LIKE KLEIN BOTTLE

battle
beer bottle
bluebottle
bottle
dottle
feeding bottle
half-bottle
hot-water bottle
ink bottle
medicine bottle
milk bottle
mottle
nursing bottle
pill bottle
pottle
scent bottle
shottle
the bottle
throttle
vacuum bottle
water bottle

Synonyms and antonyms of Klein bottle in the English dictionary of synonyms

SYNONYMS

Translation of «Klein bottle» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF KLEIN BOTTLE

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

Translator English - Chinese

克莱因瓶
1,325 millions of speakers

Translator English - Spanish

botella de Klein
570 millions of speakers

English

Klein bottle
510 millions of speakers

Translator English - Hindi

क्लेन बोतल
380 millions of speakers
ar

Translator English - Arabic

زجاجة كلاين
280 millions of speakers

Translator English - Russian

бутылка Клейна
278 millions of speakers

Translator English - Portuguese

garrafa de Klein
270 millions of speakers

Translator English - Bengali

ক্লেইন বোতল
260 millions of speakers

Translator English - French

la bouteille de Klein
220 millions of speakers

Translator English - Malay

Botol Klein
190 millions of speakers

Translator English - German

Klein -Flasche
180 millions of speakers

Translator English - Japanese

クラインの壷
130 millions of speakers

Translator English - Korean

클라인 병
85 millions of speakers

Translator English - Javanese

Klein botol
85 millions of speakers
vi

Translator English - Vietnamese

Klein chai
80 millions of speakers

Translator English - Tamil

க்ளீன் பாட்டில்
75 millions of speakers

Translator English - Marathi

क्लेन बाटली
75 millions of speakers

Translator English - Turkish

Klein şişesi
70 millions of speakers

Translator English - Italian

bottiglia di Klein
65 millions of speakers

Translator English - Polish

butelka Kleina
50 millions of speakers

Translator English - Ukrainian

пляшка Клейна
40 millions of speakers

Translator English - Romanian

Klein sticla
30 millions of speakers
el

Translator English - Greek

Klein μπουκάλι
15 millions of speakers
af

Translator English - Afrikaans

Klein bottel
14 millions of speakers
sv

Translator English - Swedish

Klein flaska
10 millions of speakers
no

Translator English - Norwegian

Klein flaske
5 millions of speakers

Trends of use of Klein bottle

TRENDS

TENDENCIES OF USE OF THE TERM «KLEIN BOTTLE»

The term «Klein bottle» is normally little used and occupies the 118.906 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
45
/100
The map shown above gives the frequency of use of the term «Klein bottle» in the different countries.
Principal search tendencies and common uses of Klein bottle
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Klein bottle».

FREQUENCY OF USE OF THE TERM «KLEIN BOTTLE» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «KLEIN BOTTLE»

Discover the use of Klein bottle in the following bibliographical selection. Books relating to Klein bottle and brief extracts from same to provide context of its use in English literature.
1
The Math Book: From Pythagoras to the 57th Dimension, 250 ...
Felix Klein (1849-1925) The Klein bottle, first described in 1882 by German mathematician Felix Klein, is an object in which the flexible neck of a bottle wraps back into the bottle to form a shape with no inside and outside. This bottle is related ...
Clifford A. Pickover, 2009
2
Dimensions of Apeiron: A Topological Phenomenology of Space, ...
Thus, for the Klein bottle to be accommodated, the idealized three-dimensional continuum must in some way be opened up, its continuity opened to challenge. Of course, we could attempt to sidestep the challenge, to skip over the hole by a ...
Steven M. Rosen, 2004
3
The Unimaginable Mathematics of Borges' Library of Babel
Summarizing, the Klein bottle is an example of a one-sided 2-manifold with no boundary. (By contrast, the Möbius band, another delightfully disorienting object, has a boundary, an edge.) All the boundaryless 2-manifolds familiar to us from our ...
William Goldbloom Bloch Associate Professor of Mathematics Wheaton College, 2008
4
How Surfaces Intersect in Space: An Introduction to Topology
After the Mobius band, the Klein bottle is the most well recognized non-orientable surface. That it is more familiar than the projective plane strikes me as a cultural oddity. The projective plane is simpler than the Klein bottle because it has ...
J. Scott Carter, 1995
5
Geometry and Physics of Branes
Just as modular-invariant torus partition functions are classified in many cases when the structure constants are not known, the partition function on the annulus and the Klein bottle and Mobius strip projections can be explicitly computed in ...
U Bruzzo, V. Gorini, U. Moschella, 2002
6
The Self-evolving Cosmos: A Phenomenological Approach to ...
So it turns out that, far from the Klein bottle requiring a classical dimension for its completion, it is classical dimensionality that is completed by the Klein bottle, since — in its capacity as the embodiment of depth — the Klein bottle exposes the ...
Steven M. Rosen, 2008
7
Edgework: The Sociology of Risk-taking
Using this insight we can expand the use of topology theory in invoking a form of the Klein bottle to explain the interconnectedness of the five dimensions we have outlined. The Klein bottle is composed of two Mobius strips connected at one of ...
Stephen Lyng, 2005
8
Explorations in Topology: Map Coloring, Surfaces and Knots
F. Games on Surfaces The investigations of Chapters 6, 7, and 8 have described tic-tac-toe on the surface of a doughnut, on a Mo ̈bius band, and on a Klein bottle. Analyze these. Must they end in a tie? Are there winning strategies?
David Gay, 2013
9
Minimal NetworksThe Steiner Problem and Its Generalizations
We start with the description of flat metrics on a Klein bottle. 3.1. DESCRIPTION OF FLAT METRICS ON A KLEIN BOTTLE Let K2 be a smooth Klein bottle. By analogy with tori, let us fix an atlas of coordinate charts on K2, and assume that two ...
Alexander O. Ivanov, Alexei A. Tuzhilin, 1994
10
The Universal Book of Mathematics: From Abracadabra to ...
Klein bottle The famous container, with zero volume, rendered in the improbable form of a soap bubble. © John M. Sullivan, University of Illinois and TU Berlin Klein bottle A mathematician named Klein, Thought the Möbius band was divine,  ...
David Darling, 2004

10 NEWS ITEMS WHICH INCLUDE THE TERM «KLEIN BOTTLE»

Find out what the national and international press are talking about and how the term Klein bottle is used in the context of the following news items.
1
What Is Topology?
The dotted edges of a Mobius strip can be combined in two different ways to give rise to two more non-orientable surfaces: a Klein Bottle (EC ... «Live Science, Jun 15»
2
Architects' striking designs stir imagination
These include - in 2009 - 'World's Best House' for Klein Bottle House, which is designed to give the illusion of spiralling back through itself. «Radio New Zealand, Apr 15»
3
Award-winning architectural team to stir the imagination
... acclaim – including the world's best residential award at the World Architecture Festival Awards in 2009 for the 'Klein Bottle House'. «Scoop.co.nz, Apr 15»
4
Breaking Down News: The words this week
It's a bit like the Klein bottle, the theoretical structure famous for disappearing up its own backside. The most appropriate visual accompanying ... «The Indian Express, Feb 15»
5
Global Game Jam 2015
During the 48 hours, the words we had to work with were Nature, Klein Bottle, Window, Mountains, Misery, Cookie, Camera, Camera, Blue, ... «Gamasutra, Jan 15»
6
Educational Exhibit Spotlights 3D-Printed Novelties In Bulk Vending …
... whose cool Fidget Cube is printed in one piece, with working hinges; and artist Asher Nahmias ("Dzingof"), who produced a "Klein Bottle" (a ... «Vending Times, Jan 15»
7
My favorite quotes
Need a zero-volume bottle? Searching for a one-sided surface? Want the ultimate in non-orientability? Get the Acme Klein Bottle. «Almanac Weekly, Dec 14»
8
Dizingof's Random Infinite Pattern and Klein Bottle Highlight 3D …
Does anyone know any artists not hip to the 3D printing scene yet? I do. Several, in fact. I just love getting to be the one to describe to an artist ... «3DPrint.com, Dec 14»
9
The Best Science Gifts For The Coolest Geeks You Know
A Klein bottle, for the non-maths nerds among you, is special type of shape that has no inside or outside, similar to how a Mobius strip has only ... «Gizmodo Australia, Dec 14»
10
Snapp Shots: East Bay man's holiday gift item makes top of list
And right at the top, with a perfect "Nerd Factor" of 10 out of 10, is a Klein Bottle made by Cliff Stoll, owner and sole proprietor of the Acme Klein ... «Contra Costa Times, Dec 14»

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