Iterated Functions
A function and its first two iterates |
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A function and its first two iterates
- This picture is the plot of , which is in blue, , which is in pink and which we create by plugging in in for x. The yellow line is , were we plug in for x.
A More Mathematical Explanation
The iterates of a function is the set of functions , which we d [...]
The iterates of a function is the set of functions , which we denote by .
Now, let's take . Then we see that
,
,
and .
We can keep doing this, and write down a general form that
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