Examples of using The gradient in English and their translations into Thai
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
But you could take the partial derivative with respect to any direction, and the gradient gives you the direction in which the slope is the largest.
That's what the gradient tells you, how do you get the maximum upward slope.
And the gradient says, well, if I travel in this direction in the x y plane-- notice that none of these have any z's.
If I'm on a hill, the gradient of that surface will tell you at any point what direction you need to travel in to go up the hill fastest.
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.
If I'm here-- notice here the x component of the gradient is much larger than the y component.
During transformer transportation, the gradient of the transformer should not be larger than 15°.
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.
Well the gradient of this function is going to tell us in which direction-- and actually, the gradient of this function is going to generate a vector field, because it's going to tell us in which direction do we have the largest increase in temperature.
If this is a conservative, if this has a potential function, if this is the gradient of another scalar field, then this is a conservative vector field, and its line integral is path independent.
And another way to view it, you could have also written this as the gradient of f is equal to the partial with respect to x of f of x y and then all of that in the i direction.
And just as a review, if I have the gradient of any function, of any scalar field is equal to the partial of f with respect to x times i plus the partial of capital F with respect to y times j.
Well the gradient-- and this is the intuition-- the gradient tells you the direction in the x y plane you should travel in order to get the maximum slope in the z dimension.
I'm just saying well, gee, if this is the gradient of that, then this must be that, which I wrote down right here, and this must be that, which I wrote down here.
But this could be, 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.
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.
Even when the gradient changes or the vehicle lurches, the tractor always levels itself, whether in soft ground with a lot of moist or in cultivated land with uneven surface.
Once you have chosen a base logo to edit, you can customize pretty much everything: the typefaces, the icon, the colors. There are gradients as well, but while you can pick custom colors, the gradient options are limited.
LED guardrail light barrier lights on the LED light source there are red yellow green blue white purple green or colorful color such as by microchip control which can realize the gradient jump color flashing random alternating gradient chase scan flow such as color change It is especially suitable for the application….