Minkowski-Bouligand dimension
A way of determining the fractal dimension of a set in a Euclidean space, or more…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.
Meaning
1 sensesA 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.
Origin
Named after the Polish mathematician Hermann Minkowski and the French mathematician GeorgeNamed after the Polish mathematician Hermann Minkowski and the French mathematician Georges Bouligand.
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Forms
plural: Minkowski-Bouligand dimensions| Singular | Minkowski-Bouligand dimension |
|---|---|
| Plural | Minkowski-Bouligand dimensions |
regular