Introducing Asymptotic Notations
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Asymptotic Analysis: It is widely used in Computer Science to describe the limiting behavior of algorithm resource use.
We look at functions to see their behavior (often to track resource consumption) when an input gets arbitrarily large (big).
But first off, what is a function? What does y = 2x mean? Let's go way back.
It means this:
Each variable is something we are tracking. Here we track y and x. They can be anything we want them to be
y and x are intimately related by our function that we defined
Each time we gain 1 unit of x, we gain 2 units of y
x is input and y is output (Remember: we can have more than 1 input variable influencing y)
So what is y and what is x (or our series of inputs if we had more)? Whatever we want them to be.
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