Examples of using Odd function in English and their translations into Bulgarian
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Medicine
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Ecclesiastic
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Ecclesiastic
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Computer
What is an odd function?
X-axis, y-axis so the f of x-axis and to show you an odd function.
Some more odd functions.
Actually, I should do a whole presentation on even and odd functions.
And let me draw an odd function for you.
And one telltale signature for it is it's made up of a bunch of odd functions.
This is an odd function if it was by itself.
So this is not an odd function.
So a very simple odd function, would be y is equal to x. y=x, something like this.
And that the sine is an odd function.
So if you add up a bunch of odd functions, you're going to get an odd function.
So in general,you have an odd function.
I will give you a particular odd function, maybe the most famous of odd functions. .
Fourier Series of Even and Odd Functions.
I shall draw a very simple odd function, just to show you that it doesn't always have to be something crazy.
Let me draw one more of these odd functions.
It looks like that. andthe way to visually recognize an odd function is you look at what's going on to the right of the y-axis, once again, this is y-axis, this is the x-axis.
So let me just draw you some more odd functions.
And once again you will be tempted to call this an odd function, but because it has shifted up it is no longer an odd function.
Even functions and on the right-hand side over here,we will talk about odd functions.
So what i have drawn,the non-dotted lines this right here is an odd function and you could even look at the definition.
So we just saw that h(-x) is equal to negative h(x), andso we know that this is an odd function.
Now I wanna leave you with a few things that are not odd functions and at some times might be confused to be odd functions.
All of these have odd exponents on them, which make them odd functions.
You are dealing with an odd function if and only if f of x for all the x's that are defined on that function or for which that function is defined.
The product of two even functions or two odd functions is even.
To make this an odd function we reflected once over the y-axis and then reflected the x-axis or another way to think about it reflected once over the y-axis and then make it negative.
And it is f(x)although there are probably other contendors for the most famous odd function. f(x) is equal to x^3.
If it was even you would reflect it there, but we are going to have and odd function so we are going to reflect it again.
And if you try to do it with a particular point I'm doing this to kinda hint that with the definition the formal definition of an odd function this is going to be.