The chapter also describes the concepts of scalar and vector fields. Scalar and vector fields arise naturally in a variety of physical situations. For example, when a gas flows along a pipe there are associated
2.2 Scalar and Vector Fields The mathematical description of environmental flows can be simplified by recalling some basic concepts of vector analysis regarding scalar and vector fields. A scalar field is a region in three-dimensional space, in which there corresponds a scalar variable f to each po...
数量场与向量场( Scalar fields and vector fields) 物理量通常都由其空间位置和时间确定,物理量在空间或空间-时间的分布称为这个物理量的场(field). 如果物理 量是数量,称为数量场(Scalar field). 如果物理量是向量,称为向量场(Vector field). 例如大气中的温度分布是 数量场,大气流动时的速度分布是向量场[...
I have a scalar struct S with each field a row vector of the same number of elements. 테마복사 S.x = [1 2]; S.y = [10 20]; I want create a struct array, A, with same number of elements as in the fields in S, with the same field...
to verify that we always have the result\(\zeta \simeq \kappa _1\)for anisotropic power-law solutions, regardless of the nature of scalar fields as well as the number of scalar and vector fields counted in the KSW model. The reason is based on the fact that we can always defineuand...
In this paper, we extend a recent proposed model of two scalar and two vector fields to a hyperbolic inflation scenario, in which the field space of two scalar fields is a hyperbolic space instead of a flat space. In this model, one of the scalar fields is assumed to be a radial field...
By assuming the existence of a relation between spin and torsion, a scalar field cannot couple with Cartan geometry. This is well achieved by imposing the minimum coupling principle on the equation of the scalar field. One then obtains a theory that is not conformal-invariant. The equation of...
The scalar curl of a vector field would be the scalar field. Therefore, the scalar curl of a vector field say F=⟨f(x,y),g(x,y)⟩ is determined as: −fy(x,y)+gx(x,y)Answer and Explanation: The given vector field is: F(x,y)=yi−xj Therefore, the required sca...
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On the effect of scalar and vector fields on the nature of the cosmological singularity. Zh. Eksp. Teor. Fiz., 63(4(10)):1121– 1134, 1972. In Russian. [51] L. D. Faddeev. Problem of energy in Einstein's theory of gravity. Usp. Fiz. Nauk, 136:435–457, 1982. [52] D. ...