Examples of using Identity function in English and their translations into Bulgarian
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That's the identity function on X.
They're saying this equals the identity function.
This identity function operates on some set.
This is equivalent to the identity function.
That's the identity function on X, especially as it applies to the point a.
You could also have an identity function on Y.
So the identity function, if I were draw it on this diagram right here, would look like this.
Here we will consider the identity function.
Then the Y identity function-- so this would be that identity function on Y applied to b-- would just refer back to itself.
That's the same thing as the identity function of Y.
The identity, function and spectral properties of the types of chlorophyll in each photosystem are distinct and determined by each other and the protein structure surrounding them.
This is the identity function on Y.
So this composition is going to be a mapping from X to X, which the identity function needs to do.
So let's say this is the identity function on set X, and it's a mapping from X to X.
That's equivalent to just doing the identity function on Y.
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.
Then the composition of the function with the inverse has to be the identity function on Y.
So this is equal to h composed with, or the composition of h with, the identity function over y with this right here.
It has to be equivalent to just doing this little closed loop right when I introduce you to the identity function.
I'm saying that this g is equivalent to the identity mapping, or the identity function in composition with this.
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.
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.
So I'm saying that f is invertible if there exists a function, f inverse, that's a mapping from Y to X such that if I take the composition of f inverse with f,this is equal to the identity function over X.
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.
This is true, this has to be true, andthe composition of f with the inverse function has to be equal to the identity function over Y.
The second statement is saying look, if I apply f to f inverse,I'm getting the identity function on Y.
So this is going to be equal to, this is the same thing as the composition of the identity function over x with g.
It also implies-- I will do it in yellow-- that the composition of f with g is equal to the identity function on y.
So when I apply f to f inverse of Y this has to be equivalent of just doing the identity function on y.
So another way of saying this is that f-- let me do it in another color-- the composition of f inverse with f of some member of the set X is equal to the identity function applied on that item.