vector fields
[ˈvɛk.tər ˈfildz]
nounpl: vector fields
campos vetoriais
1. A mathematical function that assigns a vector to each point in a space, typically used in physics and mathematics to represent quantities that have both magnitude and direction at every point in a region
The electric field around a charged particle is an example of a vector field.
O campo elétrico ao redor de uma partícula carregada é um exemplo de campo vetorial.
2. In differential geometry, an assignment of a tangent vector to each point on a manifold
Vector fields on a surface can be visualized as arrows pointing in different directions at each point.
Campos vetoriais em uma superfície podem ser visualizados como setas apontando em diferentes direções em cada ponto.
3. A representation in physics describing how a physical quantity varies continuously throughout a region of space
Wind velocity vector fields are used to model atmospheric circulation patterns.
Campos vetoriais de velocidade do vento são usados para modelar padrões de circulação atmosférica.
Vector fields are fundamental concepts in advanced mathematics, physics, and engineering curricula in both Brazil and the USA. The term 'campos vetoriais' is universally used in Portuguese-speaking academic institutions and is essential terminology in courses on calculus, differential equations, and electromagnetic theory.
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