• Thumbnail for Kiyosi Itô
    Kiyosi Itô (伊藤 清, Itō Kiyoshi, Japanese pronunciation: [itoː kiꜜjoɕi], 7 September 1915 – 10 November 2008) was a Japanese mathematician who made fundamental...
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  • Thumbnail for Itô calculus
    Itô calculus, named after Kiyosi Itô, extends the methods of calculus to stochastic processes such as Brownian motion (see Wiener process). It has important...
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  • mathematics, Itô's lemma or Itô's formula (also called the Itô–Doeblin formula, especially in the French literature) is an identity used in Itô calculus to...
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  • processes. This field was created and started by the Japanese mathematician Kiyosi Itô during World War II. The best-known stochastic process to which stochastic...
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  • Japan Itō, Shizuoka Itō (surname), for people with the Japanese surname Itō Hiroshi Ito (糸 博, born 1933), Japanese voice actor Kiyosi Itô (1915–2008), Japanese...
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  • Lagrange's identity and Kiyosi Itô (1987). Encyclopedic Dictionary of Mathematics. MIT Press. p. 1679. ISBN 0-262-59020-4. Kiyosi Itô (1993). "§C: Vector...
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  • potential in a viscous fluid. Itô diffusions are named after the Japanese mathematician Kiyosi Itô. A (time-homogeneous) Itô diffusion in n-dimensional Euclidean...
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  • Thumbnail for Stochastic process
    mathematics as well as the creation of new areas. Starting in the 1940s, Kiyosi Itô published papers developing the field of stochastic calculus, which involves...
    162 KB (17,916 words) - 12:26, 4 October 2024
  • Prices in the United States since 1856, pp. 44–53, Bond duration 1944 – Kiyosi Itô, "Stochastic Integral", Proceedings of the Imperial Academy, 20(8), pp...
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  • mathematical definition was first proposed by Kiyosi Itô in the 1940s, leading to what is known today as the Itô calculus. Another construction was later proposed...
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  • second editions was Shokichi Iyanaga; the editor of the third edition was Kiyosi Itô; the fourth edition was edited by the Mathematical Society of Japan. Iyanaga...
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  • Thumbnail for Gisiro Maruyama
    appointed Assistant professor at the Kyushu University in 1941. When Kiyosi Itô published his papers on stochastic differential equations in 1942, Maruyama...
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  • Thumbnail for Quantum vacuum state
    can both be measured simultaneously, only with limited precision. See Kiyosi Itô (1993). "§ 351 (XX.23) C: Canonical commutation relations". Encyclopedic...
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  • manifolds discovered by Heisuke Hironaka. Itô calculus Developed by Kiyosi Itô throughout the 20th century, Itô calculus extends calculus to stochastic...
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  • Kisaku Itō (伊藤 熹朔, 1899–2008), Japanese art director Kiyomi Itō (伊藤 清美), Japanese actress Kiyosi Itô (伊藤 清, 1915–2008), Japanese mathematician Koji Ito (伊東...
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  • dimensions, inaugurating the field of differential topology. 1957 – Kiyosi Itô develops Itô calculus. 1957 – Stephen Smale provides the existence proof for...
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  • Society of Japan, Encyclopedic Dictionary of Mathematics, 2nd edition, 2 vols., Kiyosi Itô (ed.), MIT Press, Cambridge, MA, 1993. Cited as EDM (volume)....
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  • Japan, Encyclopedic Dictionary of Mathematics, 2nd edition, 2 vols., Kiyosi Itô (ed.), MIT Press, Cambridge, MA, 1993. Cited as EDM. Minsky, Marvin L...
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  • Thumbnail for Kyoto University
    (1970) and Shigefumi Mori (1990) and one Carl Friedrich Gauss Prize winner Kiyosi Itô are also affiliated with the university. Alumni or faculty of Kyoto University...
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  • 2006) 1915 – Pedro Reginaldo Lira, Argentine bishop (d. 2012) 1915 – Kiyosi Itô, Japanese mathematician and academic (d. 2008) 1917 – Leonard Cheshire...
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  • Thumbnail for Comb space
    Munkres (1999). Topology (2nd ed.). Prentice Hall. ISBN 0-13-181629-2. Kiyosi Itô (ed.). "Connectedness". Encyclopedic Dictionary of Mathematics. Mathematical...
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  • Thumbnail for Empire of Japan
    Shokichi Iyanaga Hideki Yukawa Takeo Hatanaka Kazuo Kubokawa Tomizo Yoshida Kiyosi Itô Shoichi Sakata Yutaka Taniyama Kôdi Husimi Seishi Kikuchi Taketani Mitsuo...
    140 KB (15,523 words) - 05:40, 22 September 2024
  • Thumbnail for Kyoto Prize in Basic Sciences
    2016-10-15. "André Weil". Inamori Foundation. Retrieved 2016-10-15. "Kiyosi Itô". Inamori Foundation. Retrieved 2016-10-15. "Mikhael Leonidovich Gromov"...
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  • Thumbnail for Financial economics
    which, with adjustments, satisfied the BSM partial differential equation. Kiyosi Itô published his Lemma in 1944. Paul Samuelson introduced this area of mathematics...
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  • Thumbnail for Bienaymé's identity
    (1977). Probability Theory I. Springer. p. 246. ISBN 3-540-90210-4. Itô, Kiyosi (1984). Introduction to Probability Theory. Cambridge University Press...
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  • Vladimirov Hsien Chung Wang Helmut Wielandt At the 1962 Congress in Stockholm Kiyosi Itô (pictured) lectured on how to combine differential geometry and stochastic...
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  • Thumbnail for List of people by Erdős number
    Leopold Infeld Adrian Ioana Dmitry Ioffe Victor Isakov Giuseppe F. Italiano Kiyosi Itô Kenneth E. Iverson Victor Ivrii Shokichi Iyanaga William Jaco Nathan Jacobson...
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  • 2008 – Wannes Van de Velde, Belgian singer and poet (b. 1937) 2008 – Kiyosi Itô, Japanese mathematician and academic (b. 1915) 2009 – Robert Enke, German...
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  • (2): 255–260. doi:10.1090/S0273-0979-1985-15367-4. ISSN 0273-0979. with Kiyosi Itô: Diffusion processes and their sample paths. Springer 1965. Stochastic...
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  • Calculus and Continuum Mechanics. Trafford Publishing. ISBN 1-55369-133-4. Itô, Kiyosi (1993). Encyclopedic Dictionary of Mathematics (2nd ed.). MIT Press....
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