Speakur

Word Pronunciation & Dictionary

hausdorff dimension

Word Rarity Very rare

Frequency: Zipf frequency 2.00 in modern English

Syllables
haus-dorf-f di-men-sion
IPA
31
Scrabble Score
18
Letters
5
Syllables
12
Unique Chars

Meaning

noun

A type of fractal dimension, a real-valued measure of a geometric object that assigns 1 to a line segment, 2 to a square and 3 to a cube. Formally, given a metric space X and a subset of X labeled S, the Hausdorff dimension of S is the infimum of all real-valued d for which the d-dimensional Hausdorff content of S is zero.

Example Sentences

Etymology

Introduced in 1918 by mathematician Felix Hausdorff.

Inflected Forms

Hausdorff dimensions (plural)

Questions

What does hausdorff dimension mean?
A type of fractal dimension, a real-valued measure of a geometric object that assigns 1 to a line segment, 2 to a square and 3 to a cube. Formally, given a metric space X and a subset of X labeled S, the Hausdorff dimension of S is the infimum of all real-valued d for which the d-dimensional Hausdorff content of S is zero.
Where does hausdorff dimension come from?
Introduced in 1918 by mathematician Felix Hausdorff.

How to pronounce hausdorff dimension

  1. Open the pronunciation page — Open the Speakur entry for “hausdorff dimension”.
  2. Read the phonetic spelling — Read the IPA spelling () so you know which sounds to aim for.
  3. Play the audio — Click Play to hear reference audio for “hausdorff dimension”.
  4. Repeat and practice — Say “hausdorff dimension” aloud, matching stress and vowels until it feels natural.