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Meaning of "vector field" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF VECTOR FIELD

vector field play
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GRAMMATICAL CATEGORY OF VECTOR FIELD

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Vector field 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 VECTOR FIELD MEAN IN ENGLISH?

vector field

Vector field

In vector calculus, a vector field is an assignment of a vector to each point in a subset of Euclidean space. A vector field in the plane, for instance, can be visualized as a collection of arrows with a given magnitude and direction each attached to a point in the plane. Vector fields are often used to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point. The elements of differential and integral calculus extend to vector fields in a natural way. When a vector field represents force, the line integral of a vector field represents the work done by a force moving along a path, and under this interpretation conservation of energy is exhibited as a special case of the fundamental theorem of calculus. Vector fields can usefully be thought of as representing the velocity of a moving flow in space, and this physical intuition leads to notions such as the divergence and curl.

Definition of vector field in the English dictionary

The definition of vector field in the dictionary is a region of space under the influence of some vector quantity, such as magnetic field strength, in which the quantity takes a unique vector value at every point of the region.

WORDS THAT BEGIN LIKE VECTOR FIELD

veal
veal calf
veal crate
vealer
vealy
Veblen
vectograph
vector
vector font
vector product
vector space
vector sum
vectorial
vectorially
vectoring
vectorisation
vectorization
vectorize
vectorscope

WORDS THAT END LIKE VECTOR FIELD

airfield
battlefield
Bloomfield
chesterfield
Enfield
field
Garfield
greenfield
Hatfield
hold the field
Huddersfield
in the field
leave the field
magnetic field
Mansfield
outfield
play the field
Sheffield
shield
Springfield
Wakefield

Synonyms and antonyms of vector field in the English dictionary of synonyms

SYNONYMS

Translation of «vector field» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF VECTOR FIELD

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

Translator English - Chinese

矢量场
1,325 millions of speakers

Translator English - Spanish

campo vectorial
570 millions of speakers

English

vector field
510 millions of speakers

Translator English - Hindi

वेक्टर क्षेत्र
380 millions of speakers
ar

Translator English - Arabic

حقل متجه
280 millions of speakers

Translator English - Russian

векторное поле
278 millions of speakers

Translator English - Portuguese

campo vetorial
270 millions of speakers

Translator English - Bengali

ভেক্টর ক্ষেত্র
260 millions of speakers

Translator English - French

champ de vecteurs
220 millions of speakers

Translator English - Malay

Medan vektor
190 millions of speakers

Translator English - German

Vektorfeld
180 millions of speakers

Translator English - Japanese

ベクトル場
130 millions of speakers

Translator English - Korean

벡터 장
85 millions of speakers

Translator English - Javanese

Vektor lapangan
85 millions of speakers
vi

Translator English - Vietnamese

trường vector
80 millions of speakers

Translator English - Tamil

திசையன் புலம்
75 millions of speakers

Translator English - Marathi

वेक्टर फील्ड
75 millions of speakers

Translator English - Turkish

Vektör alanı
70 millions of speakers

Translator English - Italian

campo vettoriale
65 millions of speakers

Translator English - Polish

pole wektorowe
50 millions of speakers

Translator English - Ukrainian

векторне поле
40 millions of speakers

Translator English - Romanian

câmp vectorial
30 millions of speakers
el

Translator English - Greek

διανυσματικό πεδίο
15 millions of speakers
af

Translator English - Afrikaans

vektorveld
14 millions of speakers
sv

Translator English - Swedish

vektorfält
10 millions of speakers
no

Translator English - Norwegian

vektorfeltet
5 millions of speakers

Trends of use of vector field

TRENDS

TENDENCIES OF USE OF THE TERM «VECTOR FIELD»

The term «vector field» is quite widely used and occupies the 46.210 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Quite widely used
79
/100
The map shown above gives the frequency of use of the term «vector field» in the different countries.
Principal search tendencies and common uses of vector field
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «vector field».

FREQUENCY OF USE OF THE TERM «VECTOR FIELD» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «VECTOR FIELD»

Discover the use of vector field in the following bibliographical selection. Books relating to vector field and brief extracts from same to provide context of its use in English literature.
1
Vector Calculus
The physical definition of the divergence (3.14) gives an intuitive meaning in terms of the flux of the vector field out of a small closed surface. This can also be interpreted as the rate of 'expansion' or 'stretching' of the vector field. Consider for  ...
Paul C. Matthews, 1998
2
Techniques for Three-dimensional Scalar and Vector Field ...
[50] introduced trace volume and appearance texture to add more flexibility and interactivity into 3D LIC-based vector field visualization. They initially generate the streamlines from 3D vector data, then extract various geometric properties of  ...
Yuan Chen, 2009
3
Vector Field Manipulations in Three-dimensional Time-varying ...
Textureshop is an image editing system that applies texture onto a surface in a photograph.
Hui Fang, 2006
4
Calculus
15.1 Vector Fields I Understand the concept of a vector field. I Determine whether a vector field is conservative. I Find the curl of a vector field. I Find the divergence of a vector field. Vector Fields In Chapter 12, you studied vector-valued ...
Ron Larson, Bruce Edwards, 2013
5
Calculus Multivariable
15.1. Vector. Fields. □ Understand the concept of a vector field. □ Determine whether a vector field is conservative. □ Find the curl of a vector field. □ Find the divergence of a vector field.
Ron Larson, Bruce Edwards, 2009
6
Finsler and Lagrange Geometries
Theorem A The vertical, complete and horizontal lifts of a vector field in M to T(M), with the Sasakian metric, are parallel if and only if the given vector field in M is parallel. Theorem B The necessary and sufficient conditions in order that the ...
Mihai Anastasiei, P.L. Antonelli, 2003
7
Holomorphic Vector Fields on Compact Kähler Manifolds
(2) X = £ — - + £ -^r (summation sign heing omitred), dzK dzK where £ and £ ate complex valued smooth functions on U. A' is a real vector field, i. e. Xx € Tx(M) for each x if and only if £A = £A for A = 1, 2, . . . , n. For any complex vector field A' ...
Yozō Matsushima
8
Vector Calculus
In Chapter 2, we introduced a particular kind of vector field, the gradient. In this section we study general vector fields, discussing their geometric and physical significance. Vector Fields A vector field in W is a map F:/fCR"->R" that assigns to  ...
Jerrold E. Marsden, Anthony Tromba, 2003
9
Encyclopedic Dictionary of Mathematics
M. Vector Fields Let N be a subset of a Cx -manifold M. By a vector field on N we mean a mapping X that assigns to each point p of N a tangent vector Ap of M at p. We can consider X as a 'cross section over N of the tangent vector bundle of M.
Kiyosi Itô, 1993
10
An Informal Introduction to Gauge Field Theories
While this is perfectly true for the conventional massive vector field (Section 5.1 below), it turns out to be also irrelevant for, as we briefly indicated in Chapter 1 , theories involving such fields are non-renormalisable - i.e. not calculable beyond  ...
Ian J. R. Aitchison, 2007

10 NEWS ITEMS WHICH INCLUDE THE TERM «VECTOR FIELD»

Find out what the national and international press are talking about and how the term vector field is used in the context of the following news items.
1
Swirling light beams carve intricate patterns
A clear rotation of the vector field was also observed. The team says that this suggests the presence of spin angular momentum, which is carried by circularly ... «physicsworld.com, May 15»
2
What Health Goth Actually Means
But it's not homogenous out there and never will be, the online underground and the cultures tapping its magma are built on a vector field that ripples and ... «The FADER, Feb 15»
3
Halting photons could lead to miniature particle accelerators …
Plot of radiative quality factor as a function of wave vector for a photonic crystal ... The right panel shows the polarization vector field in the same region as the left ... «Phys.Org, Dec 14»
4
Extension of standard model by knot algebra
The preons interact through a preonic vector field defined by elements of the adjoint (j = 1) representation. The leptons and quarks then appear (as required by ... «Phys.Org, Sep 14»
5
Weakening Of Earth's Magnetic Field Revealed By ESA's Swarm
"Changes in Earth's magnetic field from January to June 2014 as measured by the ... The main instrument utilized by swarm is the Vector Field Magnetometer, ... «Headlines & Global News, Jun 14»
6
Orbiting 'Magnetism to Light Converter' Maps Earth's Magnetic Field
About halfway down the boom is an optical bench that couples a three-axis star-tracking telescope with a Vector Field Magnetometer (VFM)—a highly sensitive ... «IEEE Spectrum, Dec 13»
7
Numerical Calculations With Gauss's Law
In physics, we say flux is a way to measure the field that interacts with some surface. ... In general, you can calculate the the flux for any vector field and area. «Wired, Nov 13»
8
Vector Field Control Unit for Gas Detection by ESP Safety
Vector, an advanced field control unit from ESP Safety, operates as an integrated control terminal and display for ESP's gas detector series. The unit can function ... «AZoSensors, Aug 13»
9
GPU particles trajectoriy and external effects
The second thing I didn't quite get is about the Vector Fields "Additional forces from Vector Fields* (3D lookup)" - I'm completely lost here,are they storing all ... «GameDev.net, Feb 13»
10
Green Bean Matherole
Pick your favorite vector field and have at it! Mathed Potatoes: http://youtu.be/F5RyVWI4Onk. Borromean Onion Rings: http://youtu.be/4tsjCND2ZfM «YouTube, Nov 12»

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