[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] | ||

Mathematics-Online course: Basic Mathematics - Sets | ||

## Set |

[previous page] [next page] | [table of contents][page overview] |

A set consists of distinct elements :

satisfies property

The following notations are commonly used:

notation | meaning |

is element of | |

is not element of | |

is a subset of | |

is a strict subset of | |

number of elements in | |

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, .

[previous page] [next page] | [table of contents][page overview] |

automatically generated 10/31/2008 |