Identity Function
The identity function 
is the function 
which assigns
every real number 
to the same real number 
. It is identical
to the identity map.
The identity function is trivially idempotent, i.e., 
.
The identity function 
in the complex plane is illustrated
above.
A function that approximates the identity function for small 
to terms of order
is given by
 |
(OEIS A115183 and A115184). This function leads to some nice pi approximations.
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5-ary Lyndon words of length 12
