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- Kakeya_set abstract "In mathematics, a Kakeya set, or Besicovitch set, is a set of points in Euclidean space which contains a unit line segment in every direction. For instance, a disk of radius 1/2 in the Euclidean plane, or a ball of radius 1/2 in three-dimensional space, forms a Kakeya set. Much of the research in this area has studied the problem of how small such sets can be. Besicovitch showed that there are Besicovitch sets of measure zero.A Kakeya needle set (sometimes also known as a Kakeya set) is a (Besicovitch) set in the plane with a stronger property, that a unit line segment can be rotated continuously through 180 degrees within it, returning to its original position with reversed orientation. Again, the disk of radius 1/2 is an example of a Kakeya needle set.".
- Kakeya_set thumbnail Kakeya_needle.gif?width=300.
- Kakeya_set wikiPageExternalLink dvirs-proof-of-the-finite-field-kakeya-conjecture.
- Kakeya_set wikiPageExternalLink KakeyaNeedleProblem.html.
- Kakeya_set wikiPageExternalLink laba.pdf.
- Kakeya_set wikiPageExternalLink kakeya.html.
- Kakeya_set wikiPageExternalLink Besicovitch.html.
- Kakeya_set wikiPageExternalLink UW.pdf.
- Kakeya_set wikiPageID "588260".
- Kakeya_set wikiPageLength "23441".
- Kakeya_set wikiPageOutDegree "44".
- Kakeya_set wikiPageRevisionID "695309713".
- Kakeya_set wikiPageWikiLink Abram_Samoilovitch_Besicovitch.
- Kakeya_set wikiPageWikiLink Additive_number_theory.
- Kakeya_set wikiPageWikiLink Arithmetic_combinatorics.
- Kakeya_set wikiPageWikiLink Cantor_set.
- Kakeya_set wikiPageWikiLink Category:Discrete_geometry.
- Kakeya_set wikiPageWikiLink Category:Harmonic_analysis.
- Kakeya_set wikiPageWikiLink Category:Real_analysis.
- Kakeya_set wikiPageWikiLink Charles_Fefferman.
- Kakeya_set wikiPageWikiLink Convex_set.
- Kakeya_set wikiPageWikiLink Deltoid_curve.
- Kakeya_set wikiPageWikiLink Disk_(mathematics).
- Kakeya_set wikiPageWikiLink Elias_M._Stein.
- Kakeya_set wikiPageWikiLink Equilateral_triangle.
- Kakeya_set wikiPageWikiLink Euclidean_space.
- Kakeya_set wikiPageWikiLink Finite_field.
- Kakeya_set wikiPageWikiLink Geometric_measure_theory.
- Kakeya_set wikiPageWikiLink Gyula_Pál.
- Kakeya_set wikiPageWikiLink Harmonic_analysis.
- Kakeya_set wikiPageWikiLink Hausdorff_dimension.
- Kakeya_set wikiPageWikiLink Hausdorff_measure.
- Kakeya_set wikiPageWikiLink Jean-Pierre_Kahane.
- Kakeya_set wikiPageWikiLink Jean_Bourgain.
- Kakeya_set wikiPageWikiLink Journal_of_the_American_Mathematical_Society.
- Kakeya_set wikiPageWikiLink Kenneth_Falconer_(mathematician).
- Kakeya_set wikiPageWikiLink Lebesgue_measure.
- Kakeya_set wikiPageWikiLink Line_segment.
- Kakeya_set wikiPageWikiLink Locally_integrable_function.
- Kakeya_set wikiPageWikiLink Lp_space.
- Kakeya_set wikiPageWikiLink Mathematics.
- Kakeya_set wikiPageWikiLink Maximal_function.
- Kakeya_set wikiPageWikiLink Measure_(mathematics).
- Kakeya_set wikiPageWikiLink Minkowski–Bouligand_dimension.
- Kakeya_set wikiPageWikiLink Nikodym_set.
- Kakeya_set wikiPageWikiLink Null_set.
- Kakeya_set wikiPageWikiLink Randomness_extractor.
- Kakeya_set wikiPageWikiLink Simply_connected_space.
- Kakeya_set wikiPageWikiLink Two-dimensional_space.
- Kakeya_set wikiPageWikiLink File:KakeyaNeedleSet3.GIF.
- Kakeya_set wikiPageWikiLink File:Kakeya_needle.gif.
- Kakeya_set wikiPageWikiLink File:Perron_tree.svg.
- Kakeya_set wikiPageWikiLinkText "Kakeya needle problem".
- Kakeya_set wikiPageWikiLinkText "Kakeya problem".
- Kakeya_set wikiPageWikiLinkText "Kakeya set".
- Kakeya_set wikiPageWikiLinkText "Kakeya set#Kakeya conjecture".
- Kakeya_set authorlink "Soichi Kakeya".
- Kakeya_set first "Soichi".
- Kakeya_set last "Kakeya".
- Kakeya_set wikiPageUsesTemplate Template:Cite_book.
- Kakeya_set wikiPageUsesTemplate Template:Cite_journal.
- Kakeya_set wikiPageUsesTemplate Template:Harvs.
- Kakeya_set wikiPageUsesTemplate Template:Reflist.
- Kakeya_set year "1917".
- Kakeya_set subject Category:Discrete_geometry.
- Kakeya_set subject Category:Harmonic_analysis.
- Kakeya_set subject Category:Real_analysis.
- Kakeya_set hypernym Set.
- Kakeya_set type Conjecture.
- Kakeya_set type Redirect.
- Kakeya_set type Statement.
- Kakeya_set type Statement.
- Kakeya_set comment "In mathematics, a Kakeya set, or Besicovitch set, is a set of points in Euclidean space which contains a unit line segment in every direction. For instance, a disk of radius 1/2 in the Euclidean plane, or a ball of radius 1/2 in three-dimensional space, forms a Kakeya set. Much of the research in this area has studied the problem of how small such sets can be.".
- Kakeya_set label "Kakeya set".
- Kakeya_set sameAs Q3406254.
- Kakeya_set sameAs Conjunto_Kakeya.
- Kakeya_set sameAs Problxc3xa8me_de_laiguille_de_Kakeya.
- Kakeya_set sameAs 掛谷集合.
- Kakeya_set sameAs m.02swbh.
- Kakeya_set sameAs Задача_об_иголке.
- Kakeya_set sameAs Q3406254.
- Kakeya_set wasDerivedFrom Kakeya_set?oldid=695309713.
- Kakeya_set depiction Kakeya_needle.gif.
- Kakeya_set isPrimaryTopicOf Kakeya_set.