# length of a polynomial

Let $P={a}_{0}+{a}_{1}x+\mathrm{\dots}+{a}_{n}{x}^{n}\in \u2102[x]$ be a polynomial^{} with complex coefficients. The length of $P$ is

$$L(P)=\mid {a}_{0}\mid +\mid {a}_{1}\mid +\mathrm{\dots}+\mid {a}_{n}\mid =\sum _{i=0}^{n}\mid {a}_{i}\mid $$ |

Title | length of a polynomial |
---|---|

Canonical name | LengthOfAPolynomial |

Date of creation | 2013-03-22 13:33:39 |

Last modified on | 2013-03-22 13:33:39 |

Owner | Daume (40) |

Last modified by | Daume (40) |

Numerical id | 5 |

Author | Daume (40) |

Entry type | Definition |

Classification | msc 11C08 |