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...

Kakeya may refer to: Kakeya, Shimane town Sōichi Kakeya, mathematician Kakeya set in mathematics This disambiguation page lists articles associated with...

Sōichi Kakeya (掛谷 宗一, Kakeya Sōichi, January 18, 1886 – January 9, 1947) was a Japanese mathematician who worked mainly in mathematical analysis and who...

shape that can be rotated and translated through an L-shaped corridor Kakeya set, a set of minimal area that can accommodate every unit-length line segment...

outline Dvir's proof of the Finite Field Kakeya Conjecture using the polynomial method. Finite Field Kakeya Conjecture: Let F q {\displaystyle \mathbb...

Nikodym sets are closely related to Kakeya sets (also known as Besicovitch sets). The existence of Nikodym sets is sometimes compared with the Banach–Tarski...

fractional Hausdorff dimension, and a variant of the Kakeya set problem on the Hausdorff dimension of sets such that, for every possible direction, there is...

shape that can be rotated and translated through an L-shaped corridor Kakeya set, a set of minimal area that can accommodate every unit-length line segment...

lemma and the Cauchy–Binet formula Four proofs of Cayley's formula Kakeya sets in vector spaces over finite fields Bregman–Minc inequality Dinitz problem...

the dimension of Kakeya sets. Jointly with Izabella Łaba and Terence Tao he proved that the upper Minkowski dimension of Kakeya sets in 3 dimensions is...

tangents, densities, projections, etc. Orthogonal projections, Kakeya sets, Besicovitch sets Uniform rectifiability Rectifiability and uniform rectifiability...

made important contributions to the theory of Kakeya sets, including the best known lower bound on these sets in three-dimensional Euclidean spaces. Her...

Kakaji, Ōita Kakamigahara, Gifu Kake, Hiroshima Kakegawa, Shizuoka Kakeya set Kakeya, Shimane Kakigōri Kakinoki, Shimane Kakinomoto no Hitomaro Kako District...

St Andrews Besicovitch On Kakeyas Problem and a similar one, Math. Zeitschrift vol.27, 1928, 312 Besicovitch On linear sets of points of fractal dimension...

every Jordan curve have an inscribed square? The Kakeya conjecture – do n {\displaystyle n} -dimensional sets that contain a unit line segment in every direction...

names: authors list (link) Section 2.2. Zeev Dvir & Avi Wigderson. "Kakeya sets, new mergers and old extractors" (PDF). Noam Nissan & Amnon Ta-Shma....

Bibcode:1974JNT.....6..128S, doi:10.1016/0022-314X(74)90051-1, MR 0337857 Kakeya, Sōichi (1915), "On some properties of convex curves and surfaces.", Tohoku...

Prize in 1999, for his contributions to analysis and particularly to the Kakeya conjecture. He was an Invited Speaker at the International Congress of Mathematicians...

in Seattle, Washington. The title of her talk is The Kakeya needle problem for rectifiable sets. She is included in a deck of playing cards featuring...

developed by Carleson and Per Sjölin has been standard in the study of the Kakeya problem. In 1974 he solved the extension problem for quasiconformal mappings...

Professor Burkard Polster of Monash University, to illustrate the mathematical Kakeya needle problem.[non-primary source needed] It is claimed that comedian Bill...

particularly well-studied over finite fields. Motivated by the finite field Kakeya conjecture, Wolff conjectured that for every subset A ⊆ 𝔽p, where p is...

to the triangle's sides. [1] A deltoid was proposed as a solution to the Kakeya needle problem. Astroid, a curve with four cusps Circular horn triangle...

restriction problem. They also found analogous results for the bilinear Kakeya problem which is based upon the X-ray transform instead of the Fourier transform...

1995 An improved bound for Kakeya type maximal functions. Rev. Mat. Iberoamericana 11 (1995), no. 3, 651–674. A Kakeya-type problem for circles. Amer...

baseball player Soichi Ichida (1910–1986), Japanese philatelist Sōichi Kakeya (掛谷 宗一) (1886–1947), Japanese mathematician Souichi Moto (本 そういち), Japanese...

Matsuo, Takuya; Stanewsky, Ralf; Golombek, Diego A.; Johnson, Carl Hirschie; Kakeya, Hideaki; van Ooijen, Gerben; Okamura, Hitoshi (6 May 2020). "Methylation...

words, the cardinality of the set of transcendentals (denoted ℶ 1 {\displaystyle \beth _{1}} ) is greater than that of the set of algebraic numbers ( ℵ 0...

Taikō (豊太閤) Min'yūsha, 1911 Genroku Chūkon (元禄忠魂録) Shiseidō Bookstore, 1912 Kakeya Shosei Ningen-gaku (居家処世人間学) Ōe Shobō, 1913 Itazuramono (いたづらもの) Ōe Shobō...

progress on Mahler’s conjecture in 1987. In 2000, Bourgain connected the Kakeya problem to arithmetic combinatorics. As a researcher, he was the author...