Negligible function
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A function
is negligible if it approaches zero faster than any inverse polynomial. That is,
- For all
,
for all sufficiently large n.
Some examples of negligible functions include
,
, and
.
Note that any polynomial function times a negligible function remains negligible. In this way, if some outcome of an experiment happens with negligible probability (say, an adversary breaking our cryptographic scheme), and we repeat the experiment a polynomial number of times, we will still only encounter that outcome with negligible probability.

