Fractals | Dimension theory | Metric geometry

Packing dimension

In mathematics, the packing dimension is one of a number of concepts that can be used to define the dimension of a subset of a metric space. Packing dimension is in some sense dual to Hausdorff dimension, since packing dimension is constructed by "packing" small open balls inside the given subset, whereas Hausdorff dimension is constructed by covering the given subset by such small open balls. The packing dimension was introduced by C. Tricot Jr. in 1982. (Wikipedia).

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From playlist Dimensions

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From playlist Middle School - Worked Examples

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From playlist Dimensions

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From playlist Dimensions

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From playlist Dimensions

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From playlist Volume and Surface Area (Geometry)

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From playlist Dimensions

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From playlist Mathematics General Interest

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From playlist Middle School - Worked Examples

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From playlist History of science

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Duality (mathematics) | Metric space | Dense set | Countable set | Dimension function | Dimension | Hausdorff dimension | Mathematics | Minkowski–Bouligand dimension | Pre-measure | Measure (mathematics) | Rational number | Euclidean space | Subset