ЧТО ОЗНАЧАЕТ СЛОВО VECTOR FIELD
Векторное поле
В векторном исчислении векторное поле является присвоением вектора каждой точке в подмножестве евклидова пространства. Например, векторное поле в плоскости можно представить в виде набора стрелок с заданной величиной и направлением, каждое из которых прикреплено к точке плоскости. Векторные поля часто используются для моделирования, например, скорости и направления движущейся жидкости во всем пространстве, или силы и направления некоторой силы, такой как магнитная или гравитационная сила, при ее изменении от точки к точке. Элементы дифференциального и интегрального исчисления естественным образом распространяются на векторные поля. Когда векторное поле представляет силу, линейный интеграл векторного поля представляет работу, выполняемую силой, движущейся по пути, и при этой интерпретации сохранение энергии проявляется как частный случай основной теоремы исчисления. Векторные поля можно с пользой рассматривать как представляющие скорость движущегося потока в пространстве, и эта физическая интуиция приводит к таким понятиям, как расходимость и завиток.
Значение слова vector field в словаре английский языка
Определение векторного поля в словаре является областью пространства под влиянием некоторой векторной величины, такой как напряженность магнитного поля, в которой величина принимает уникальное векторное значение в каждой точке области.
КНИГИ НА АНГЛИЙСКИЙ ЯЗЫКЕ, ИМЕЮЩЕЕ ОТНОШЕНИЕ К СЛОВУ «VECTOR FIELD»
Поиск случаев использования слова
vector field в следующих библиографических источниках. Книги, относящиеся к слову
vector field, и краткие выдержки из этих книг для получения представления о контексте использования этого слова в литературе на английский языке.
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
...
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
...
3
Vector Field Manipulations in Three-dimensional Time-varying ...
Textureshop is an image editing system that applies texture onto a surface in a photograph.
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
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' ...
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.
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
НОВОСТИ, В КОТОРЫХ ВСТРЕЧАЕТСЯ ТЕРМИН «VECTOR FIELD»
Здесь показано, как национальная и международная пресса использует термин
vector field в контексте приведенных ниже новостных статей.
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Green Bean Matherole
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