English Explanatory Dictionary

Minkowski-Bouligand dimension

English dictionary entry

Meanings

noun
  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.

Word forms

Minkowski-Bouligand dimension Minkowski-Bouligand dimensions

Etymology

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

Synonyms

box-counting dimension Minkowski dimension
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