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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. Besicovitch showed that there are Kakeya needle sets of arbitrarily small positive measure.".
- Kakeya_set thumbnail Kakeya_needle.gif?width=300.
- Kakeya_set wikiPageExternalLink KakeyaNeedleProblem.html.
- Kakeya_set wikiPageExternalLink dvirs-proof-of-the-finite-field-kakeya-conjecture.
- Kakeya_set wikiPageExternalLink laba.pdf.
- Kakeya_set wikiPageExternalLink kakeya.html.
- Kakeya_set wikiPageExternalLink Besicovitch.html.
- Kakeya_set wikiPageID "588260".
- Kakeya_set wikiPageRevisionID "597180932".
- Kakeya_set authorlink "Soichi Kakeya".
- Kakeya_set first "Soichi".
- Kakeya_set hasPhotoCollection Kakeya_set.
- Kakeya_set last "Kakeya".
- Kakeya_set year "1917".
- Kakeya_set subject Category:Discrete_geometry.
- Kakeya_set subject Category:Harmonic_analysis.
- Kakeya_set subject Category:Real_analysis.
- 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 "Conjunto Kakeya".
- Kakeya_set label "Kakeya set".
- Kakeya_set label "Problème de l'aiguille de Kakeya".
- Kakeya_set sameAs Conjunto_Kakeya.
- Kakeya_set sameAs Problème_de_l'aiguille_de_Kakeya.
- Kakeya_set sameAs m.02swbh.
- Kakeya_set sameAs Q3406254.
- Kakeya_set sameAs Q3406254.
- Kakeya_set wasDerivedFrom Kakeya_set?oldid=597180932.
- Kakeya_set depiction Kakeya_needle.gif.
- Kakeya_set isPrimaryTopicOf Kakeya_set.
