Примери за използване на Vector field на Английски и техните преводи на Български
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So let's say I have a vector field.
A vector field of normals to a surface.
The divergence of the vector field A.
Flow of a vector field through a surface.
The circulation of a vector field….
A vector field can be visualized as assigning a vector to individual points within an n-dimensional space.
A portion of the vector field(sin y, sin x).
The field may be a scalar field or a vector field.
He studied homotopy classes and vector fields producing a formula about the integral curvature.
We have seen that if a vector field.
The four-heat flux vector field, is essentially similar to the 3d heat flux vector field q, in the local frame of the fluid:[11].
Note on locally symmetric vector fields.
He wrote an article Note on locally symmetric vector fields in a Riemannian space, published in 1976, in memory of Evan Tom Davies.
The function to be integrated may be a scalar field or a vector field.
The mathematics of the virtual:manifolds, vector fields and transformation groups.
A vector field in the plane(for instance), can be visualised as: a collection of arrows with a given magnitude and direction, each attached to a point in the plane.
For his habilitation Seifert submitted his paper Continuous vector fields and by the beginning of 1934 he was ready to become a university teacher.
More generally, vector fields are defined on differentiable manifolds, which are spaces that look like Euclidean space on small scales, but may have more complicated structure on larger scales.
In 1958 Smale learnt about Pontryagin 's work on structurally stable vector fields and he began to apply topological methods to study the these problems.
This representation of a vector field depends on the coordinate system, and there is a well-defined transformation law in passing from one coordinate system to the other.
Now we learned several videos ago that if we're dealing with a line integral of a vector field-- not a scalar field--with a vector field, the direction of the path is important.
So now we know that if we have a vector field that's the gradient of a scalar field in some region, or maybe over the entire xy plane-- and this is called the potential of f; this is a potential function.
Determined in this way,the gravitational field g around a single particle of mass M is a vector field consisting at every point of a vector pointing directly towards the particle.
In the last video, we saw that if a vector field can be written as the gradient of a scalar field-- or another way we could say it: this would be equal to the partial of our big f with respect to x times i plus the partial of big f, our scalar field with respect to y times j; and I'm just writing it in multiple ways just so you remember what the gradient is.
Oftentimes it will be the negative of it, but it's easy to mess with negatives--but if we have a vector field that is the gradient of a scalar field, we call that vector field conservative.
If each component of V is continuous V is a continuous vector field, more V is a Ck vector field if each component of V is k times continuously differentiable.
Identifying opportunities for managed remote sensing characteristics of the objects of inanimate nature on the field D(direction of rotation of the vector field, the intensity of the field, the time-effect D-radiation).
I drew c1 and c2 or minus c2 arbitrarily;this could be any closed path where our vector field f has a potential, or where it is the gradient of a scalar field, or where it is conservative.
And because of that, a closed loop line integral, or a closed line integral, so if we take some other place, if we take any other closed line integral orwe take the line integral of the vector field on any closed loop, it will become 0 because it is path independent.
This is concerned with the restrictions imposed on a Riemannian n-space by the existence of a locally symmetric vector field and it continues work begun by Walker in a paper on possible orientation of galaxies published early in his career in 1940.