A set
consists of distinct
elements
:



If such elements are characterized via a property
, this is
symbolized as follows:



The following notations are commonly used:
notation | meaning |
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number of elements in ![]() |
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empty set |
If
(
),
is called a finite (infinite) set.



Two sets are called equipotent, if there exists a bijective map
between their elements (
for finite sets
and
).



The set
of all subsets of
is called power set,
i.e.
.
In particular,
we have
and
.
Moreover,
.






http://www.mathematics-online.org/kurse/kurs7/seite7.html
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