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Ultrametric vs Ultrametricity - What's the difference?

ultrametric | ultrametricity |

In mathematics|lang=en terms the difference between ultrametric and ultrametricity

is that ultrametric is (mathematics) a metric whose triangle inequality has the stronger form d(x, z) \le \max\{d(x, y), d(y, z)\} while ultrametricity is (mathematics) the condition of being ultrametric.

As an adjective ultrametric

is (mathematics) a metric whose triangle inequality has the stronger form d(x, z) \le \max\{d(x, y), d(y, z)\} .

As a noun ultrametricity is

(mathematics) the condition of being ultrametric.

ultrametric

English

Adjective

(Ultrametric space) (-)
  • (mathematics) A metric whose triangle inequality has the stronger form d(x, z) \le \max\{d(x, y), d(y, z)\} .

    • Hypernyms

    * metric

    Hyponyms

    * p -adic ultrametric

    ultrametricity

    English

    Noun

  • (mathematics) The condition of being ultrametric