Examples of 'vector field' in a sentence
Meaning of "vector field"
A vector field is a mathematical concept used in physics and mathematics. It describes a vector quantity assigned to every point in a given region of space, representing the direction and magnitude of a physical quantity such as velocity or force
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- a function mapping a subset of ℝⁿ into a subset of ℝⁿ
- a function which associates, to each point on a surface, a vector in the tangent plane of that point
How to use "vector field" in a sentence
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vector field
This is our vector field plus yi plus xj.
That is the curl of the vector field.
The motion vector field is declared saturated.
Let us actually fly in to the vector field.
The motion vector field is declared nonsaturated.
This is the definition of our vector field.
A vector field whose curl is zero is called irrotational.
So that tells us that f is a conservative vector field.
Flow of a vector field through a surface.
And remember what our vector field was.
Recognize a vector field in a plane or in space.
Let me actually change it to my new vector field.
This is because the vector field happens to be conservative.
All of these vectors form a vector field.
Let v be the vector field given by.
See also
The divergence is a scalar function of a vector field.
Efficiency and vector field consistency are thereby improved.
And the divergence of the vector field is.
Be a solenoidal vector field which is twice continuously differentiable.
It states that the circulation of a vector field.
Conservative vector field and its associated potential function.
Let me draw another vector field.
The displacement vector field of a point is defined by three components.
So we have gone from having a scalar field to a vector field.
Which is generated by a vector field of the form.
By superposition we obtain the divergence of any vector field.
Let wk be the coefficients of the vector field v in the y coordinates.
Second example of line integral of conservative vector field.
It can be thought of as a vector field which moves as time passes.
And let us say we also have a vector field.
The vector field is conservative.
You could have a vector field.
Such a motion vector field is determined by means of a motion estimator.
Let me draw this vector field f.
The vector field g represents body forces per unit mass.
But this is really any arbitrary vector field.
For any vector field v.
So we are now within the vector field.
The divergence of a vector field can be defined in any number of dimensions.
Such a function is called a motion vector field model.
For a vector field v.
The idea of divergence of a vector field.
Let l be a nonsingular complex vector field defined on an open subset of the plane.
The function to be integrated may be a scalar field or a vector field.
Determine whether or not the vector field is conservative.
The theorem is also known as straightening out of a vector field.
Define the vector field.
Another way to think of it if you have a constant vector field.
Let me make it so that our vector field works out right.
They describe society in terms of forces acting in a vector field.
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