Sōichi Kakeya
was a Japanese mathematician who worked mainly in mathematical analysis and who posed the Kakeya problem and solved a version of the transportation problem. He received the Imperial Prize of the Japan Academy in 1928, and was elected to the Japan Academy in 1934. References * Kakeya, S. (1912-13) "On the Limits of the Roots of an Algebraic Equation with Positive Coefficients," Tohoku Mathematical Journal (First Series),2:140–142. 1886 births 1947 deaths 20th-century Japanese mathematicians University of Tokyo alumni Academic staff of the University of Tokyo Academic staff of the University of Tsukuba Laureates of the Imperial Prize {{Asia-mathematician-stub ...
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Kakeya Set
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 needle problem The Kakeya needle problem asks whether there is a minimum area of a region D in the plane, in which a needle of unit length can be turned through 360°. This question was first posed, for convex regions, by ...
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