Identity Function
المؤلف:
Sloane, N. J. A.
المصدر:
Sequences A115183 and A115184 in "The On-Line Encyclopedia of Integer Sequences."
الجزء والصفحة:
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20-7-2019
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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.
REFERENCES:
Sloane, N. J. A. Sequences A115183 and A115184 in "The On-Line Encyclopedia of Integer Sequences."
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