# scalar

A scalar is a quantity that is invariant^{} under coordinate^{} transformation, also known as a tensor of rank 0. For example, the number 1 is a scalar, so is any number or variable $n\in \mathbb{R}$. The point $(3,4)$ is not a scalar because it is variable under rotation^{}.
As such, a scalar can be an element of a field over which a vector space^{} is defined.

Title | scalar |
---|---|

Canonical name | Scalar |

Date of creation | 2013-03-22 11:58:55 |

Last modified on | 2013-03-22 11:58:55 |

Owner | mathcam (2727) |

Last modified by | mathcam (2727) |

Numerical id | 8 |

Author | mathcam (2727) |

Entry type | Definition |

Classification | msc 15A03 |

Related topic | Vector |

Related topic | EigenvalueOfALinearOperator |

Related topic | AxialVector3 |