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Kakutani
Kakutani is a Japanese surname. Notable people with the surname include: * Michiko Kakutani (born 1955), Japanese-American Pulitzer Prize-winning critic * Shizuo Kakutani (1911–2004), Japanese-American mathematician **Kakutani fixed-point theorem In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions. It provides sufficient conditions for a set-valued function defined on a convex set, convex, compact set, compact subset of a Euclidean sp ... {{surname Japanese-language surnames ...
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Michiko Kakutani
Michiko Kakutani (born January 9, 1955) is an American writer and retired literary critic, best known for reviewing books for ''The New York Times'' from 1983 to 2017. In that role, she won the Pulitzer Prize for Criticism in 1998. Early life and family Kakutani, a Japanese American, was born on January 9, 1955, in New Haven, Connecticut. She is the only child of Yale mathematician Shizuo Kakutani and his wife Keiko ("Kay") Uchida. Her father was born in Japan, her mother was a second-generation Japanese-American who was raised in Berkeley, California. Kakutani's aunt, Yoshiko Uchida, was an author of children's books. Kakutani received her bachelor's degree in English literature from Yale University in 1976, where she studied under author and Yale writing professor John Hersey, among others.. Career Kakutani initially worked as a reporter for ''The Washington Post'', and then from 1977 to 1979 for ''Time'' magazine, where Hersey had worked. In 1979, she joined ''The New York ...
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Kakutani Fixed-point Theorem
In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions. It provides sufficient conditions for a set-valued function defined on a convex set, convex, compact set, compact subset of a Euclidean space to have a fixed point (mathematics), fixed point, i.e. a point which is map (mathematics), mapped to a set containing it. The Kakutani fixed point theorem is a generalization of the Brouwer fixed point theorem. The Brouwer fixed point theorem is a fundamental result in topology which proves the existence of fixed points for continuous function (topology), continuous functions defined on compact, convex subsets of Euclidean spaces. Kakutani's theorem extends this to set-valued functions. The theorem was developed by Shizuo Kakutani in 1941, and was used by John Forbes Nash, Jr., John Nash in his description of Nash equilibrium, Nash equilibria. It has subsequently found widespread application in game theory and economics. Statement K ...
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Shizuo Kakutani
was a Japanese-American mathematician, best known for his eponymous fixed-point theorem. Biography Kakutani attended Tohoku University in Sendai, where his advisor was Tatsujirō Shimizu. At one point he spent two years at the Institute for Advanced Study in Princeton at the invitation of the mathematician Hermann Weyl. While there, he also met John von Neumann. Kakutani received his Ph.D. in 1941 from Osaka University and taught there through World War II. He returned to the Institute for Advanced Study in 1948, and was given a professorship by Yale in 1949, where he won a students' choice award for excellence in teaching. Kakutani received two awards of the Japan Academy, the Imperial Prize and the Academy Prize in 1982, for his scholarly achievements in general and his work on functional analysis in particular. He was a Plenary Speaker of the ICM in 1950 in Cambridge, Massachusetts. Kakutani was married to Keiko ("Kay") Uchida, who was a sister to author Yoshiko Uc ...
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Japanese Surname
Officially, among Japanese names there are 291,129 different Japanese surnames, as determined by their kanji, although many of these are Japanese orthography, pronounced and romanization of Japanese, romanized similarly. Conversely, some surnames written the same in kanji may also be pronounced differently. The top 10 surnames cover approximately 10% of the population, while the top 100 surnames cover slightly more than 33%. This ranking is a result of an August 2008 study by Meiji Yasuda Life, Meiji Yasuda Life Insurance Company, which included approximately 6,118,000 customers of Meiji Yasuda's insurance and annuities. References

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