Hausdorff content

English

Hausdorff content (plural Hausdorff contents)

the d-dimensional Hausdorff content of S is defined by ${\\displaystyle C_{H}^{d}(S):=\\lim _{\\sup _{i}r_{i}\\rightarrow 0}\\inf {\\Bigl \\{}\\sum _{i}r_{i}^{d}:{\\text{ there is a cover of }}S{\\text{ by balls with radii }}r_{i}>0{\\Bigr \\}}.}$ $\text{[math]}$
- The d-dimensional Hausdorff content of a set is a measure of the size of that set in the d^th dimension.
- The 0-dimensional Hausdorff content of a set is the number of points in that set.

单词	Hausdorff content
释义	Hausdorff content English Noun Hausdorff content (plural Hausdorff contents) the d-dimensional Hausdorff content of S is defined by ${\\displaystyle C_{H}^{d}(S):=\\lim _{\\sup _{i}r_{i}\\rightarrow 0}\\inf {\\Bigl \\{}\\sum _{i}r_{i}^{d}:{\\text{ there is a cover of }}S{\\text{ by balls with radii }}r_{i}>0{\\Bigr \\}}.}$ The d-dimensional Hausdorff content of a set is a measure of the size of that set in the d^th dimension. The 0-dimensional Hausdorff content of a set is the number of points in that set. Related terms Hausdorff dimension
随便看	assasset assassetis Assassijn assassijn assassijnen assassin assassina assassinada assassinadas assassina de aluguel assassinades assassinado assassinados assassina em série assassinai assassinaient assassinais assassinait assassinam assassinamenti assassinamento assassinammo assassinamos assassinando assassinano