# integer part

The *integer part* of a real number is the part of the number that appears before the decimal . For example, the integer part of $\pi $ is $3$, and the integer part of $-\sqrt{2}$ is $-1$.

To be more precise, for $x\in \mathbb{R}$, the integer part of $x$, denoted as $[x]$, is given by

$$ |

where $\lfloor x\rfloor $ and $\lceil x\rceil $ denote the floor and ceiling of $x$, respectively.

Title | integer part |
---|---|

Canonical name | IntegerPart |

Date of creation | 2013-03-22 16:14:11 |

Last modified on | 2013-03-22 16:14:11 |

Owner | Wkbj79 (1863) |

Last modified by | Wkbj79 (1863) |

Numerical id | 6 |

Author | Wkbj79 (1863) |

Entry type | Definition |

Classification | msc 11-00 |

Classification | msc 26A09 |

Related topic | FractionalPart |