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Minkowski-Bouligand dimension

Minkowski-Bouligand dimension noun: a way of determining the fractal dimension of a set in a Euclidean space, or more generally in a metric space. It may be visualized by imagining the fractal lying on an evenly-spaced grid and counting how many boxes are required to cover the set. The dimension is then calculated by seeing how this number changes as the grid is made finer.

minkowski-bouligand dimension: a way of determining the fractal dimension of a set in a Euclidean space, or more generally in a...
Image: Prokofiev, CC BY-SA 3.0, via Wikimedia Commons

Noun

Minkowski-Bouligand dimension (plural Minkowski-Bouligand dimensions)

  1. A way of determining the fractal dimension of a set in a Euclidean space, or more generally in a metric space. It may be visualized by imagining the fractal lying on an evenly-spaced grid and counting how many boxes are required to cover the set. The dimension is then calculated by seeing how this number changes as the grid is made finer.

Synonyms of Minkowski-Bouligand dimension

Forms of Minkowski-Bouligand dimension

pluralMinkowski-Bouligand dimensions

Origin of Minkowski-Bouligand dimension

Named after the Polish mathematician Hermann Minkowski and the French mathematician Georges Bouligand.

Questions about Minkowski-Bouligand dimension

What does Minkowski-Bouligand dimension mean?
Minkowski-Bouligand dimension means a way of determining the fractal dimension of a set in a Euclidean space, or more generally in a metric space. It may be visualized by imagining the fractal lying on an evenly-spaced grid and counting how many boxes are required to cover the set. The dimension is then calculated by seeing how this number changes as the grid is made finer.
What part of speech is Minkowski-Bouligand dimension?
Minkowski-Bouligand dimension is a noun.
What is the plural of Minkowski-Bouligand dimension?
The plural of Minkowski-Bouligand dimension is Minkowski-Bouligand dimensions.

Words near Minkowski-Bouligand dimension in the dictionary

  1. Minkowski spacetime
  2. Minkowski spacetimes
  3. Minkowski's Butterfly
  4. Minkowski's Object
  5. Minkowski's question mark function
  6. Minkowski-Bouligand dimension
  7. Minkowski-Bouligand dimensions
  8. minkowskian
  9. Minkowskis
  10. minks
  11. minky

Source and license

Adapted from Wiktionary: Minkowski-Bouligand dimension (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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