# Jordan content of an $n$-cell

Let $I=[{a}_{1},{b}_{1}]\times \mathrm{\cdots}\times [{a}_{n},{b}_{n}]$ be an $n$-cell in ${\mathbb{R}}^{n}$. Then the Jordan content (denoted $\mu (I)$) of $I$ is defined as

$$\mu (I):=\prod _{j=1}^{n}({b}_{j}-{a}_{j}).$$ |

Title | Jordan content of an $n$-cell |
---|---|

Canonical name | JordanContentOfAnNcell |

Date of creation | 2013-03-22 13:37:37 |

Last modified on | 2013-03-22 13:37:37 |

Owner | Mathprof (13753) |

Last modified by | Mathprof (13753) |

Numerical id | 5 |

Author | Mathprof (13753) |

Entry type | Definition |

Classification | msc 26B12 |