hausdorff dimension การใช้

• Where " D " is the Hausdorff dimension of the boundary.
• The resultant three-dimensional H tree has Hausdorff dimension equal to 3.
• The Hausdorff dimension would also work, I presume.
• The Hausdorff measure is not to be confused with the notion of Hausdorff dimension.
• I thought an estimate of the Hausdorff dimension might be able to uncover this?
• The upper and lower box dimensions are strongly related to the more popular Hausdorff dimension.
• See Hausdorff dimension . talk ) 17 : 46, 7 May 2016 ( UTC)
• In particular the Hausdorff dimension of f ( A _ r ) is at most r.
• Pluripolar sets are of Hausdorff dimension at most 2n-2 and have zero Lebesgue measure.
• The strange attractor in this case is a fractal of Hausdorff dimension between 2 and 3.
• Hausdorff dimension term is a fine instrument for the characterization and comparison of " highly rugged quantities ".
• In mathematical terms, the Hausdorff dimension generalizes the notion of the dimension of a real vector space.
• But Beno顃 Mandelbrot observed that fractals, sets with noninteger Hausdorff dimensions, are found everywhere in nature.
• And indeed, V . Jarn韐 proved that the Hausdorff dimension of this set is equal to one.
• Caveat : The Hausdorff dimension of f ( A _ r ) can be arbitrarly close to r.
• In this work, the concepts were introduced which are now known as Hausdorff measure and the Hausdorff dimension.
• Which is often ( but not always ) equal to the set's Hausdorff dimension and packing dimension.
• Is it true that such sets necessarily have Hausdorff dimension and Minkowski dimension equal to " n "?
• This analysis of differentiability is usually given in terms of fractal dimension, with the Hausdorff dimension the most popular choice.
• This suggests that the scaling limit should have Hausdorff dimension between 1 + \ varepsilon and 5 / 3 almost surely.