Examples of using Identity function 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
That's the identity function on X.
They're saying this equals the identity function.
This identity function operates on some set.
You could also have an identity function on Y.
That's the identity function on X, especially as it applies to the point a.
This is equivalent to the identity function.
And then the identity function being applied to x is what?
That's the same thing as the identity function of Y.
So the identity function, if I were draw it on this diagram right here, would look like this.
And that's equivalent to just applying the identity function.
This is the identity function on Y.
Loop right when I introduce you to the identity function.
So let's say this is the identity function on set X, and it's a mapping from X to X.
And then we also learned that s-- the composition of s with f is the identity function on x.
So this is the same thing as the identity function on y being applied to b.
Then the composition of the function with the inverse has to be the identity function on Y.
Then the Y identity function-- so this would be that identity function on Y applied to b-- would just refer back to itself.
So this composition is going to be a mapping from X to X, which the identity function needs to do.
NFC Bracelet Wristband application: The RFID Wristbands have an identity function, which can realize functional applications such as access control keys, card payment, and personnel check-in.
So this is going to be equal to, this is the same thing as the composition of the identity function over x with g.
What's interesting about the identity function is that if you give it some a that is a member of X-- so lets say you give it that a-- the identity function applied to that member of X, the identity function of a, is going to be equal to a.
The second statement is saying look, if I apply f to f inverse, I'm getting the identity function on Y.
I'm saying that this g is equivalent to the identity mapping, or the identity function in composition with this.
Such that this inverse function, the composition of the inverse with the function, is equal to the identity function.
So taking the composition of g with f-- that means doing f first then g-- this is the equivalent of just taking the identity function in X, so just taking an X and going back to an X.
The first one-- I guess it's really just one function, I said it's a couple-- but I will call it the identity function.
If I take the composition of the identity in y-- so that's essentially I take some element, let me do it this way-- I take some element in y, I apply the identity function, which essentially just gives me that element again, and then I apply h to that.
The definition of this inverse function is that when you take the composition with f, you're going to end up with the identity function.
Or it isn't just essentially equivalent, it is equivalent to just applying the identity function, So that's i x.
This is true, this has to be true, and the composition of f with the inverse function has to be equal to the identity function over Y.