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Topic: Teiji Takagi

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	Takagi (Site not responding. Last check: 2007-10-20)
		Takagi graduated from Tokyo University in 1897, and in the following year he was chosen as one of twelve students from Japan to study abroad.
		Takagi wrote to Hilbert who arranged accommodation for him in Göttingen in a house in which he himself had previously lived.
		Although Hilbert was not directly involved with Takagi's research, the topic he worked on was certainly one that Hilbert considered of the utmost importance for it was a special case of what became Hilbert's 12th problem in his Paris lecture of 1900.
	www-history.mcs.st-and.ac.uk /~history/Mathematicians/Takagi.html (1658 words)

	The Tribune - Windows - Mind games
		Teiji reads the words inscribed on the metal: "COURAGE IS IN THE MIND", then, hearing his father's footsteps, quickly, puts the sword back in.
		Takagi is told that the department head is angry with him for not attending lectures and he should see him in his office.
		Takagi (to the student): "This is the sword of courage, which has been in my family for countless generations and which, now, passes on to the first Samurai of your family...
	www.tribuneindia.com /2002/20021123/windows/mind.htm (578 words)

	Patentee Index
		Higuchi, Kazutoshi; Ogawa, Katsuo; Itoh, Fumitaka; Takahara, Yasuaki; and Okamoto, Teiji 06823182 Cl. 455-412.
		Takagi, Naoki; and Takeda, Akinori 06821611 Cl. 428-220.
		Takagi, Takeshi; Yuki, Koichiro; Toyoda, Kenji; and Kanzawa, Yoshihiko 06821870 Cl. 438-564.
	www1.uspto.gov /web/patents/patog/week47/OG/patentee/alphaT.htm (8222 words)

	Teiji Takagi -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-20)
		Teiji Takagi (高木貞治 April 21,1875 - February 28,1960) was a Japanese (A person skilled in mathematics) mathematician, best known for proving the (Click link for more info and facts about Takagi existence theorem) Takagi existence theorem in (Click link for more info and facts about class field theory) class field theory.
		He was born in the mountainous and rural region of (Click link for more info and facts about Gifu) Gifu, (A constitutional monarchy occupying the Japanese Archipelago; a world leader in electronics and automobile manufacture and ship building) Japan.
		Aside from his work in (Click link for more info and facts about algebraic number theory) algebraic number theory he was notable for the quantity of textbooks he wrote in Japanese.
	www.absoluteastronomy.com /encyclopedia/t/te/teiji_takagi.htm (254 words)

	Teiji Takagi
		Teiji Takagi (貞治高木 April 21, 1875 - February 28, 1960) is a Japanese mathematician.
		After graduating from Tokyo University, he studied in Germany.
		The text of this article is licensed under the GFDL.
	www.ebroadcast.com.au /lookup/encyclopedia/te/Teiji_Takagi.html (72 words)

	The Tribune - Windows - Mind games
		Takagi regarded the sword as the source of all his courage, which made him so successful.
		Maybe, Takagi had no heir; or none of his heirs was competent enough to carry the sword." Suhail: "The sword was given by the Emperor to the select the best soldiers of Japan.
		Takagi wrote textbooks, important for the development of Japanese mathematics at school and university levels at that time.
	www.tribuneindia.com /2002/20021130/windows/mind.htm (607 words)

	Takagi (Site not responding. Last check: 2007-10-20)
		Teiji Takagi was born in a rural area of Gifu Prefecture in central Japan.
		Iyanaga, the author of [6], became Takagi's student in 1926.
		His wife died of cancer in 1952 and Takagi himself died at the age of 88 in the hospital of Tokyo university.
	www-history.mcs.st-andrews.ac.uk /history/Mathematicians/Takagi.html (1658 words)

	Takagi (Site not responding. Last check: 2007-10-20)
		Teiji Takagi graduated from Tokyo in 1897, then studied under Fuchs, Frobenius and Hilbert at Berlin and Göttingen from 1897 to 1900.
		Takagi worked on class field theory, building on Heinrich Weber's work.
		Takagi's most important books are Introduction to analysis (1938) and Algebraic number theory (1948).
	www.bg-rams.ac.at /intranet/Physik/history/Takagi.html (175 words)

	Yutaka Taniyama
		His first name was actually Toyo, but many people misinterpreted his name as Yutaka, and he came to accept that name.
		In high school, he became interested in mathematics inspired by Teiji Takagi's modern history of mathematics.
		Taniyama studied mathematics at the University of Tokyo after the end of World War II, and here he developed a friendship with another student named Goro Shimura.
	pedia.newsfilter.co.uk /wikipedia/y/yu/yutaka_taniyama.html (441 words)

	Symmetries of Period-Doubling Maps (Site not responding. Last check: 2007-10-20)
		By replacing the triangular shape that generates the Blancmange curve with a polynomial, we find that the resulting curve transforms under the n+2 dimensional representation of the semigroup, where n is the degree of the polynomial.
		The Takagi Curve is notable in that it is constructed from the iterated Tent Map.
		Dri99] bear a close resemblance to the Takagi curve, and one might say they are generalization of the Takagi Curve to the complex plane.
	www.linas.org /math/chap-takagi/chap-takagi.html (5977 words)

	Find A Grave - Search Results for "TAK"
		At his advice, the navy adopted bread as a key element of its dietary provisions, thus earning a nickname, "the naval bread surgeon." As a result, beriberi decreased sharply among naval personnel.
		This was in contrast to the army, who did not adopt a successful strategy to prevent beriberi as quickly, until after experiencing difficulties with beriberi during a key campaign of the Russo-Japanese War.
		For his career work, Takagi received many honors, including from Czechoslovakia, the University of Oslo, and the National Research Council of Japan.
	www.findagrave.com /php/famous.php?page=name&firstName=&lastName=TAK (754 words)

	Teiji Takagi - Encyclopedia, History, Geography and Biography
		Teiji Takagi - Encyclopedia, History, Geography and Biography
		Teiji Takagi (高木貞治 Takagi Teiji, April 21,1875 - February 28,1960) was a Japanese mathematician, best known for proving the Takagi existence theorem in class field theory.
		This page was last modified 14:13, 28 May 2005.
	www.arikah.com /encyclopedia/Teiji_Takagi (171 words)

	Viva Origino No. 30 Vol. 4, 2002 December
		Takagi was responsible for raising the mathematical level of Japan (Fig.
		There are plaques for Teiji Takagi (Mathematician), Kotaro Honda (Physicist) and Hiromu Nagai (Physiologist).
		Later Honda prepared a powerful magnetic steel (KS steel), and his plaque is displayed in the Kreutzberg Strasse with a plaque of Teiji Takagi (1875-1960).
	www.origin-life.gr.jp /3004/3004229/3004229.html (5439 words)

	Takagi existence theorem - Encyclopedia, History, Geography and Biography
		Takagi existence theorem - Encyclopedia, History, Geography and Biography
		The theorem tells us that the Hilbert class field conjectured by Hilbert always exists, but it required Artin and Furtwängler to prove that principalization occurs.
		The theorem is due to Teiji Takagi, who proved it during the isolated years of World War I and presented at the International Conference of Mathematicians in 1920, leading to the development of the classical theory of class field theory during the 1920s.
	www.arikah.net /encyclopedia/Takagi_existence_theorem (348 words)

	Teiji Takagi Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-20)
		Looking For teiji takagi - Find teiji takagi and more at Lycos Search.
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	www.karr.net /encyclopedia/Teiji_Takagi (321 words)

	Takagi - HVAC Manufacturers News & Articles (Site not responding. Last check: 2007-10-20)
		Takagi studied Algebra for beginners by Todhunter and Geometry by...
		Takagi is the leading manufacturer of gas tankless water heaters in Japan, where tankless makes upwards of 95% of the market.
		Takagi Mobius TM1 TK2 TK1 tankless gas hot water heaters...
	www.acheatingventilation.com /manufacturers/Takagi.html (2145 words)

	TAKAGI (Site not responding. Last check: 2007-10-20)
		Search the TAKAGI Family Message Boards at Ancestry.com (if available).
		Search the TAKAGI Family Resource Center at RootsWeb.com (if available).
		Find graves of people named TAKAGI at Find-a-Grave.com (or add one that you know).
	www.worldhistory.com /surname/US/T/TAKAGI.htm (73 words)

	References for Takagi (Site not responding. Last check: 2007-10-20)
		Y Kawada (ed.), Recollections on Professor Teiji Takagi (Tokyo, 1986).
		S Iyanaga, On the life and works of Teiji Takagi, in T Takagi, Collected papers (Berlin, 1990).
		T Takagi, Reminiscences and perspectives, in Miscellaneous Notes on Mathematics (Tokyo, 1935).
	www-groups.dcs.st-and.ac.uk /~history/References/Takagi.html (92 words)

	Background on 2002 Fields and Nevanlinna Awardees
		An important question that often arises in number theory is whether, upon dividing two prime numbers, the remainder is a perfect square.
		Other reciprocity laws that apply in more general situations were discovered by Teiji Takagi and by Emil Artin in the 1920s.
		One of the original motivations behind the Langlands Program was to provide a complete understanding of reciprocity laws that apply in even more general situations.
	www.ams.org /ams/fields2002-background.html (1845 words)

	Teiji Takagi History Summary (Site not responding. Last check: 2007-10-20)
		Japanese mathematician who made contributions to class field theory, a subject on which he wrote two comprehensive papers in 1920 and 1922.
		After graduating from Tokyo University, Takagi studied for several years in Germany at the universities of Berlin and Göttingen, then returned to Tokyo to complete his doctorate in 1903.
		Takagi produced two important works—Introduction to Analysis (1938) and Algebraic Number Theory (1948).
	www.bookrags.com /history/sciencehistory/teiji-takagi-scit-06123 (124 words)

	Teiji miya Supersite (Site not responding. Last check: 2007-10-20)
		JRA Race Card andamp; Results - Teiji Kawashima 8th Meiner Polonaise(JPN) Dance in the Dark Bethenny's Star Fappiano Harrow On the Hill Miya Misako Okada Big Red Farm 10th Namura Caesar(JPN) Chief Bearhart Cascadia Caerleon Flood Katsuharu.
		The Imperial Household Agency administers it book, the definitive work on Katsura in English Teiji Itoh, Tadashi Yokoyama, Eiji Musha, Makato.
		Editors: Lindsay Sly, Teiji Iijima andamp; Barbara Kirsop.
	www.zipwise.com /listings/teiji-miya.htm (371 words)

	Teiji Takagi - rFind.net (Site not responding. Last check: 2007-10-20)
		Svenska wikipedia har inte någon artikel om "Teiji Takagi" ännu.
		Du kan se om Teiji Takagi finns i
		Du kan också söka efter Teiji Takagi i andra artiklar på svenska wikipedia.
	www.rfind.net /info/Teiji_Takagi (103 words)

	TAGAKI
		Takagi was born on 21 April 1875 in Kazuya Village, a rural area in central Japan.
		His father was an accountant on a farm and Tagaki grew up on the same farm.
		He retired in 1936 from this post and died on 29 February in Tokyo, Japan
	algana.co.uk /FamousNames/T/tagaki.htm (248 words)

	Mathematics and Computer Education: HONORS CLASS: HILBERT'S PROBLEMS AND THEIR SOLVERS, THE
		Yandell continues with well-documented descriptions of groups of problems in various categories including geometry, algebra, mechanics, number theory, and analysis.
		Some of the major contributors mentioned are Max Dehn, Herbert Busemann, Andrew Gleason, Alexander Gelfond, Teiji Takagi, Emil Artin, Vladimir Arnold, Masayoshi Nagata, Jules Henri Poincaré, and Andrei Kolmogorov.
		Yandell includes these mathematicians and many others in his Yandell's Honors Class, and he provides us with details of their work and summaries of their lives.
	www.findarticles.com /p/articles/mi_qa3950/is_200501/ai_n11826154 (650 words)

	Principal ideal - Wikipedia, the free encyclopedia
		For a Dedekind domain R, we may also ask, given a non-principal ideal I of R, whether there is some extension S of R such that the ideal of S generated by I is principal (said more loosely, I becomes principal in S).
		This question arose in connection with the study of rings of algebraic integers (which are examples of Dedekind domains) in number theory, and led to the development of class field theory by Teiji Takagi, Emil Artin, David Hilbert, and many others.
		It turns out that every integer ring R (i.e.
	en.wikipedia.org /wiki/Principal_ideal (522 words)

	The Mathematics Genealogy Project - Teiji Takagi
		Click here to see the students listed in chronological order.
		According to our current on-line database, Teiji Takagi has 3 students and 253 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	genealogy.math.ndsu.nodak.edu /html/id.phtml?id=55699 (99 words)

	eBay - takagi books at low prices (Site not responding. Last check: 2007-10-20)
		Hideaki Takagi, Ifip Tc6, T. Hasegawa, Wg6.3 and Wg7.3 International Conference on the Performance And, Y. Takahashi
		Dario Catalano, David Pointcheval, Giovanni Di Crescenzo, Ivan Damgard, Ronald Cramer, Tsuyoshi Takagi
		Note: Item availability and pricing may be out of date.
	product-search.ebay.com /takagi_Books_W0QQpoqryZtakagiQQpovcsZ2178 (87 words)

Teiji Takagi (Site not responding. Last check: 2007-10-20)

Teiji Takagi

Teiji Takagi
article at Free Euro Online Encyclopedia

It uses material from the wikipedia article Teiji Takagi.

www.eurofreehost.com /te/Teiji_Takagi.html (126 words)

	Gene Expression: European Innovation
		As an aside - for those who wonder about the contributions of the Japanese to mathematics, in the fields of algebraic geometry and number theory at least, since the 1950s these have been considerable.
		Two names worth looking up are Teiji Takagi and Kenkichi Iwasawa.
		Which just goes to prove my point - looking at Japanese history up to the Taisho era, no one would have marked the Japanese out as especially mathematically talented.
	www.gnxp.com /MT2/archives/000750.html (9909 words)

	Publications from Japan & East Asia in English - Titles starting with the letter T (Site not responding. Last check: 2007-10-20)
		Ted Buggins b FIC 1980 128 PP ?
		Teiji Takagi Collected Papers b HIS 1990 376 Y18000 4-431-70057-9
		Teijin Technology Report 1 TEX 1985 40 ?
	www.imcbook.net /JPGSlite/TTT.HTM (10506 words)

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