Examples of using Vector field in English and their translations into German
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Colloquial
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Computer
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Political
Let me draw another vector field.
They use a vector field to show the deviation of points and display the results in diagrams and tables.
Let me make it so that our vector field works out right.
And remember, these are just sample points on our vector field.
If I were to, let's say that this vector field shows the velocity of a fluid at various points.
The correct way to write it is the divergence of our vector field, v.
When we took the dot product of this with a vector field, we got the divergence of the vector field. .
That's enough of just getting the intuition behind that vector field.
The award for Design Validation Center with Vector Field Probe is already the third SESAMES award won by a COMPRION test solution.
So the curl, you might guess,is equal to the cross product of our Dell operator and the vector field.
To try and understand this better, we can take a vector field that depends on just one parameter, and let this parameter change slowly.
Metaphorically speaking,the curl is how much a small boat would rotate if the vector field was a fluid.
So even though a vector field has all these vectors on it, the divergence tells you an actual scalar number at any point in the field. .
COMPRION has won the SESAMES Award 2017 in thecategory"Manufacturing& Tests" for Design Validation Center with Vector Field Probe.
So when you're taking this Dell operator and dotting it with a vector field, you're saying, how much is the vector field changing, right?
Studying the points on the disc where the trajectories pass through isoften a lot simpler than studying the vector field as a whole.
It's going to be a function of x and y, so the velocity at any point--it's a vector field-- let's say it is, and I'm just going to make up something.
The new solution consists of the Design Validation Center software,the CL Verify A and CL Quantify hardware devices, and the Vector Field Probe.
The current display mode is not changed. Vector field images are always displayed as vector field, no matter which mode is selected with set_paint set_paint SetPaint SetPaint SetPaint.
That we just have an expression that if you give me a point anywhere in this vector field, I can tell you the divergence at that point.
One thing to immediately realize, even before we work on the intuition,is when we did gradient I gave you a surface and it gave us a vector field.
When we applied it to just a scalar or vector field, you know, like a three-dimensional function, we just multiplied this times that scalar function, we got the gradient.
In case that they are needed the parameter ResultType ResultType ResultTypeResultType resultType should be set to'image_rectified', 'vector_field' and'deformed_contours.
In mathematics, a Killing vector field(often just Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold(or pseudo-Riemannian manifold) that preserves the metric.
The application of the del operator on a scalar field results in the gradient,the dot product with a vector field yields the divergence, and the vector product with a vector field results in the curl.
And let's say this vector field, just for the purposes of visualization it could be anything, but let's say it represents the velocity of particles of fluid of any point in two dimensions.
Two-dimensional Plots In two dimensions, Sage can draw circles, lines, and polygons; plots of functions in rectangular coordinates; and also polar plots,contour plots and vector field plots.
So if I said that I had, I don't know, let's say,my vector field is cosine of yi plus-- so it's interesting; my x-direction is dependent on my y-coordinate--plus, I don't know, e to the xyj.
Riemannian manifolds== For any smooth function f on a Riemannian manifold(" M"," g"),the gradient of" f" is the vector field∇" f" such that for any vector field" X" ,:formula 19where denotes the inner product of tangent vectors at" x" defined by the metric" g" and∂" X"" f"( sometimes denoted" X"(" f")) is the function that takes any point to the directional derivative of" f" in the direction" X", evaluated at" x.