Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Hausdorff_measure> ?p ?o }
Showing triples 1 to 67 of
67
with 100 triples per page.
- Hausdorff_measure abstract "In mathematics a Hausdorff measure is a type of outer measure, named for Felix Hausdorff, that assigns a number in [0,∞] to each set in Rn or, more generally, in any metric space. The zero-dimensional Hausdorff measure is the number of points in the set (if the set is finite) or ∞ if the set is infinite. The one-dimensional Hausdorff measure of a simple curve in Rn is equal to the length of the curve. Likewise, the two dimensional Hausdorff measure of a measurable subset of R2 is proportional to the area of the set. Thus, the concept of the Hausdorff measure generalizes counting, length, and area. It also generalizes volume. In fact, there are d-dimensional Hausdorff measures for any d ≥ 0, which is not necessarily an integer. These measures are fundamental in geometric measure theory. They appear naturally in harmonic analysis or potential theory.".
- Hausdorff_measure wikiPageExternalLink 2007PrGeo..22..451Y.
- Hausdorff_measure wikiPageExternalLink www.encyclopediaofmath.org.
- Hausdorff_measure wikiPageExternalLink Hausdorff_dimension.
- Hausdorff_measure wikiPageExternalLink Hausdorff_measure.
- Hausdorff_measure wikiPageID "504109".
- Hausdorff_measure wikiPageLength "8272".
- Hausdorff_measure wikiPageOutDegree "37".
- Hausdorff_measure wikiPageRevisionID "636574721".
- Hausdorff_measure wikiPageWikiLink Almost_surely.
- Hausdorff_measure wikiPageWikiLink Borel_set.
- Hausdorff_measure wikiPageWikiLink Bounded_set.
- Hausdorff_measure wikiPageWikiLink Brownian_motion.
- Hausdorff_measure wikiPageWikiLink Category:Dimension_theory.
- Hausdorff_measure wikiPageWikiLink Category:Fractals.
- Hausdorff_measure wikiPageWikiLink Category:Measures_(measure_theory).
- Hausdorff_measure wikiPageWikiLink Category:Metric_geometry.
- Hausdorff_measure wikiPageWikiLink Curve.
- Hausdorff_measure wikiPageWikiLink Dimension_function.
- Hausdorff_measure wikiPageWikiLink Felix_Hausdorff.
- Hausdorff_measure wikiPageWikiLink Fractal.
- Hausdorff_measure wikiPageWikiLink Gamma_function.
- Hausdorff_measure wikiPageWikiLink Geometric_measure_theory.
- Hausdorff_measure wikiPageWikiLink Harmonic_analysis.
- Hausdorff_measure wikiPageWikiLink Hausdorff_dimension.
- Hausdorff_measure wikiPageWikiLink Lebesgue_measure.
- Hausdorff_measure wikiPageWikiLink Lipschitz_continuity.
- Hausdorff_measure wikiPageWikiLink Mathematics.
- Hausdorff_measure wikiPageWikiLink Mathematische_Annalen.
- Hausdorff_measure wikiPageWikiLink Measure_(mathematics).
- Hausdorff_measure wikiPageWikiLink Metric_outer_measure.
- Hausdorff_measure wikiPageWikiLink Metric_space.
- Hausdorff_measure wikiPageWikiLink Minkowski_content.
- Hausdorff_measure wikiPageWikiLink N-sphere.
- Hausdorff_measure wikiPageWikiLink Normed_vector_space.
- Hausdorff_measure wikiPageWikiLink Outer_measure.
- Hausdorff_measure wikiPageWikiLink Potential_theory.
- Hausdorff_measure wikiPageWikiLink Rectifiable_set.
- Hausdorff_measure wikiPageWikiLinkText "''k''-dimensional volume".
- Hausdorff_measure wikiPageWikiLinkText "Hausdorff measure".
- Hausdorff_measure wikiPageUsesTemplate Template:Citation.
- Hausdorff_measure wikiPageUsesTemplate Template:Harv.
- Hausdorff_measure subject Category:Dimension_theory.
- Hausdorff_measure subject Category:Fractals.
- Hausdorff_measure subject Category:Measures_(measure_theory).
- Hausdorff_measure subject Category:Metric_geometry.
- Hausdorff_measure hypernym Measure.
- Hausdorff_measure type Software.
- Hausdorff_measure type Function.
- Hausdorff_measure comment "In mathematics a Hausdorff measure is a type of outer measure, named for Felix Hausdorff, that assigns a number in [0,∞] to each set in Rn or, more generally, in any metric space. The zero-dimensional Hausdorff measure is the number of points in the set (if the set is finite) or ∞ if the set is infinite. The one-dimensional Hausdorff measure of a simple curve in Rn is equal to the length of the curve.".
- Hausdorff_measure label "Hausdorff measure".
- Hausdorff_measure sameAs Q1591095.
- Hausdorff_measure sameAs Мера_Хаусдорфа.
- Hausdorff_measure sameAs Hausdorff-Maß.
- Hausdorff_measure sameAs Mesure_de_Hausdorff.
- Hausdorff_measure sameAs 하우스도르프_측도.
- Hausdorff_measure sameAs Hausdorffmaat.
- Hausdorff_measure sameAs Miara_Hausdorffa.
- Hausdorff_measure sameAs Mzura_ëd_Hausdorff.
- Hausdorff_measure sameAs Medida_de_Hausdorff.
- Hausdorff_measure sameAs m.043tvjm.
- Hausdorff_measure sameAs Мера_Хаусдорфа.
- Hausdorff_measure sameAs Hausdorffmått.
- Hausdorff_measure sameAs Міра_Хаусдорфа.
- Hausdorff_measure sameAs Q1591095.
- Hausdorff_measure wasDerivedFrom Hausdorff_measure?oldid=636574721.
- Hausdorff_measure isPrimaryTopicOf Hausdorff_measure.