Examples of using Parameterization 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
So that's our parameterization.
This parameterization is essentially a counterclockwise circle.
I will do another parameterization.
And so our parameterization, and you know, just play with this triangle, and hopefully it will make sense.
That's pretty straightforward parameterization.
For this parameterization right here.
This integral is exactly that, given this parameterization.
Now that we have our parameterization right over here.
And how does it change depending on different parameterizations.
It's going to be dependent our parameterization for the curve. it's not dependent on the shape of the curve.
And in order to do it, we need to do another parameterization of x and y.
Enhancing the basic script by applying- Parameterization, Checkpoints, Regular Expressions, and Synchronization Point.
We were able to figure out the cross product of these 2, I guess, partial derivatives of the vector valued, or our original parameterization there.
So let's just say, this parameterization right here.
These are the circular trig functions, you give me a t on these parameterizations we end up on the unit circle!
So let's just experiment and confirm that this parameterization really is the same thing as this thing, but it goes in an opposite direction.
And then our x is going to be equal to a t, that's part of our definition of our parameterization, and y is zero, so we can ignore it.
So that's my y-axis, that is my x-axis, and let's say my parameterization starts there, and then as t increases, ends up over there just like that.
And then when t is equal to b up here, this is really just a review of what we have seen before,really just a review of parameterization, when t is equal to b up here, this is the point x of b.
And in order to take a surface integral, we had to find the partial of our parameterization with respect to s, and the partial with respect to t, and now we're ready to take the cross product.
I'm still dealing with this parameterization over here.
And so, when we derived this formula up here or this parameterization, a was the radius of these cross sectional circles.
When t is equal to a, when t is equal to a,let's say that this parameterization is also for t starts at a and then goes up to b.
Now given these functions, how can we construct another parameterization here that has the same shape, but that starts here?