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Meaning of "hypersurface" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF HYPERSURFACE

hypersurface  [ˈhaɪpəˌsɜːfɪs] play
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GRAMMATICAL CATEGORY OF HYPERSURFACE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Hypersurface 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 HYPERSURFACE MEAN IN ENGLISH?

Hypersurface

In geometry, a hypersurface is a generalization of the concept of hyperplane. Suppose an enveloping manifold M has n dimensions; then any submanifold of M of n − 1 dimensions is a hypersurface. Equivalently, the codimension of a hypersurface is one. For example, the n-sphere in Rn + 1 is called a hypersphere. Hypersurfaces occur frequently in multivariable calculus as level sets. In algebraic geometry, a hypersurface in projective space of dimension n is an algebraic set that is purely of dimension n − 1. It is then defined by a single equation F = 0, a homogeneous polynomial in the homogeneous coordinates. It may have singularities, so not in fact be a submanifold in the strict sense. "Primal" is an old term for an irreducible hypersurface.

Definition of hypersurface in the English dictionary

The definition of hypersurface in the dictionary is a type of submanifold.

WORDS THAT RHYME WITH HYPERSURFACE


air-to-surface
ˈɛətəˌsɜːfɪs
artifice
ˈɑːtɪfɪs
back-office
ˈbækˌɒfɪs
edifice
ˈɛdɪfɪs
interoffice
ˌɪntərˈɒfɪs
Memphis
ˈmɛmfɪs
office
ˈɒfɪs
orifice
ˈɒrɪfɪs
preface
ˈprɛfɪs
resurface
riːˈsɜːfɪs
surface
ˈsɜːfɪs
undersurface
ˈʌndəˌsɜːfɪs

WORDS THAT BEGIN LIKE HYPERSURFACE

hypersensitization
hypersensitize
hypersensual
hypersexual
hypersexuality
hypersomnia
hypersomnolence
hypersonic
hypersonically
hypersonics
hyperspace
hyperspatial
hyperstatic
hypersthene
hypersthenia
hypersthenic
hypersthenite
hyperstimulate
hyperstress
hypertense

WORDS THAT END LIKE HYPERSURFACE

a slap in the face
aspherical surface
caustic surface
come to the surface
communication interface
control surface
face
face to face
granulated surface
graphical user interface
high definition multimedia interface
in-your-face
interface
on the surface
road surface
Scarface
sub-surface
surface-to-surface
user interface
work surface

Synonyms and antonyms of hypersurface in the English dictionary of synonyms

SYNONYMS

Translation of «hypersurface» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF HYPERSURFACE

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

Translator English - Chinese

超曲面
1,325 millions of speakers

Translator English - Spanish

hipersuperficie
570 millions of speakers

English

hypersurface
510 millions of speakers

Translator English - Hindi

hypersurface
380 millions of speakers
ar

Translator English - Arabic

hypersurface
280 millions of speakers

Translator English - Russian

гиперповерхность
278 millions of speakers

Translator English - Portuguese

hipersuperfície
270 millions of speakers

Translator English - Bengali

hypersurface
260 millions of speakers

Translator English - French

hypersurface
220 millions of speakers

Translator English - Malay

Hipersurface
190 millions of speakers

Translator English - German

Hyper
180 millions of speakers

Translator English - Japanese

超曲面
130 millions of speakers

Translator English - Korean

hypersurface
85 millions of speakers

Translator English - Javanese

Hypersurface
85 millions of speakers
vi

Translator English - Vietnamese

hypersurface
80 millions of speakers

Translator English - Tamil

hypersurface
75 millions of speakers

Translator English - Marathi

हायपरसफेस
75 millions of speakers

Translator English - Turkish

hiperyüzey
70 millions of speakers

Translator English - Italian

ipersuperficie
65 millions of speakers

Translator English - Polish

hiperpowierzchni
50 millions of speakers

Translator English - Ukrainian

гіперповерхность
40 millions of speakers

Translator English - Romanian

hipersuprafață
30 millions of speakers
el

Translator English - Greek

hypersurface
15 millions of speakers
af

Translator English - Afrikaans

hypersurface
14 millions of speakers
sv

Translator English - Swedish

hypersurface
10 millions of speakers
no

Translator English - Norwegian

hypersurface
5 millions of speakers

Trends of use of hypersurface

TRENDS

TENDENCIES OF USE OF THE TERM «HYPERSURFACE»

The term «hypersurface» is regularly used and occupies the 87.027 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
60
/100
The map shown above gives the frequency of use of the term «hypersurface» in the different countries.
Principal search tendencies and common uses of hypersurface
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «hypersurface».

FREQUENCY OF USE OF THE TERM «HYPERSURFACE» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «HYPERSURFACE»

Discover the use of hypersurface in the following bibliographical selection. Books relating to hypersurface and brief extracts from same to provide context of its use in English literature.
1
Virtual Theatres: An Introduction
The hypersurface is where the real and the virtual meet each other. It is materiality and textuality, real and representation. It is also the site of virtual performance. Through the hypersurface, the viewer can enter the work of art, be part of it, ...
Gabriella Giannachi, 2004
2
Geometry VI: Riemannian Geometry
P. First and Second Quadratic Forms of a Hypersurface 269 Proof. By the Gauss relation (see (9') in Chap. 19), the condition imposed on the sectional curvature implies that on each linear space TPX and on the linear space TpoX in particular,  ...
‎2001
3
Singularities and Topology of Hypersurfaces
We present a criterion for a hypersurface to have the same rational homology groups as a projective space (5.2.22) and give some examples of this situation. To each (singular) projective complete intersection, one can associate a smooth  ...
Alexandru Dimca, 1992
4
Complex Geometry: An Introduction
We start out by recalling the following Definition 2.3.1 An analytic hypersurface of X is an analytic subvariety Y C X of codimension one, i.e. dim(Y) = dim(X) — 1. A hypersurface Y C X is locally given as the zero set of a non-trivial holomorphic ...
Daniel Huybrechts, 2005
5
Encyclopaedia of Mathematics
3) An algebraic hypersurface is a subvariety of an algebraic variety that is locally defined by one equation. An algebraic hypersurface in the affine space A\ over a field k is globally defined by one equation /(x, x.) = 0. An algebraic hypersurface ...
Michiel Hazewinkel, 1989
6
Trends in Representation Theory of Algebras and Related Topics
8. Stable. Auslander. algebras. of. hypersurface. singularities. In this section we show that some of the mesh algebras of generalized Dynkin type have natural roots in algebraic geometry and commutative algebra. A main result giving this ...
Andrzej Skowroński, 2008
7
Conformal Differential Geometry and Its Generalizations
In this case a = 0 on the hypersurface V"_1, the hypersphere D coincides with the point Cu“, and this point is fixed. A conformal space with a fixed point is equivalent to a Euclidean space for which the fixed point is the point at infinity. Thus the ...
Maks A. Akivis, Vladislav V. Goldberg, 2011
8
Geometric Modeling and Algebraic Geometry
A monoid hypersurface is an irreducible hypersurface of degree d which has a singular point of multiplicity d−1. Any monoid hypersurface admits a rational parameterization , hence is of potential interest in computer aided geometric design .
Bert Jüttler, Ragni Piene, 2007
9
Hypersurface Architecture
Essays and works by the leaders in the field of computer-generated architectural design. This book explores the advances in architecture made possible by digital technology.
Stephen Perrella, 1998
10
Algebraic Geometry: A First Course
Let Q a P" be a quadric hypersurface of rank r>2 and peg any point not lying on the vertex of Q. Show that the projection map np: Q > P"_1 is a birational isomorphism. Example 7.15. Hypersurfaces We should mention at this juncture a famous ...
Joe Harris, 1992

5 NEWS ITEMS WHICH INCLUDE THE TERM «HYPERSURFACE»

Find out what the national and international press are talking about and how the term hypersurface is used in the context of the following news items.
1
Astoria Characters: The Man Who Holds the Universe in His Hands
It just so happens that the three-dimensional universe that we know and live in is the thin hypersurface of this shock wave. Their relationship ... «Huffington Post, Apr 14»
2
Bogdo Ula – The Return of the Sons of Ra (2013)
“Full Hypersurface” returns this project to deep space, as Bogdo Ula work with darkness and silence. There are times when the tension of their ... «Something Else! Reviews, Dec 13»
3
Viewpoint: Is the Lopsided Universe an Open Universe?
1, bottom). If we restrict ourselves to two space dimensions, then a specific time in our Universe is an infinite curved sheet, or hypersurface, ... «Physics, Sep 13»
4
Haresh Lalvani: Mass Customization of Emergent Designs at Design …
... Mass Customization of Emergent Designs, Moss' two collections were on display: Morphing Fruit Platters 1D Series 300 and HyperSurface. «Huffington Post, Dec 11»
5
Thermalization and its mechanism for generic isolated quantum …
... independent of the hamiltonian and each other, then time evolution is confined to a highly restricted hypersurface of the energy manifold. «Nature.com, Apr 08»

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