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Tadao Tannaka
was a Japanese mathematician who worked in algebraic number theory. Biography Tannaka was born in Matsuyama, Ehime Prefecture on December 27, 1908. After receiving a Bachelor of Science in mathematics from Tohoku Imperial University in 1932, he was appointed a lecturer in the university in 1934 and received a Doctor of Science degree from the university in 1941. He was promoted to assistant professor in 1942 and full professor in 1945. Tannaka was a member at the Institute for Advanced Study from September 1955 to April 1957. Tannaka retired from Tohoku University in 1972, after which he served as a full professor at Tohoku Gakuin University until 1981. Tannaka was an editor of the Tohoku Mathematical Journal and a member of the board of directors of the Mathematical Society of Japan. Tannaka was also in charge of the "Mathematics Chat" article series in the monthly ' magazine from 1960 onwards. Tannaka died in Tokyo on October 25, 1986. Research Tannaka is known for developin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matsuyama
270px, Matsuyama City Hall 270px, Ehime Prefectural Capital Building is the capital city of Ehime Prefecture on the island of Shikoku in Japan and also Shikoku's largest city. , the city had an estimated population of 505,948 in 243541 households and a population density of 1200 persons per km². The total area of the city is . Geography Matsuyama is located in central Ehime Prefecture, facing the Seto Inland Sea to the north, the mountains of the Takanawa Peninsula to the north and east, and the Saragamine Mountain Range, an extension of the Shikoku Mountains, to the south. It is located on the northeastern portion of the Dōgo Plain. The city also includes the Kutsuna Islands, an archipelago of 29 islands in the Seto Inland Sea. Neighbouring municipalities Ehime Prefecture * Tōon * Imabari * Tobe * Masaki * Kumakōgen Climate Matsuyama has a humid subtropical climate (Köppen climate classification ''Cfa''; Trewartha climate classification ''Cf'') with hot summers and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Of Science
Doctor of Science ( la, links=no, Scientiae Doctor), usually abbreviated Sc.D., D.Sc., S.D., or D.S., is an academic research degree awarded in a number of countries throughout the world. In some countries, "Doctor of Science" is the degree used for the standard doctorate in the sciences; elsewhere the Sc.D. is a "higher doctorate" awarded in recognition of a substantial and sustained contribution to scientific knowledge beyond that required for a Doctor of Philosophy (PhD). Africa Algeria and Morocco In Algeria, Morocco, Libya and Tunisia, all universities accredited by the state award a "Doctorate" in all fields of science and humanities, equivalent to a PhD in the United Kingdom or United States. Some universities in these four Arab countries award a "Doctorate of the State" in some fields of study and science. A "Doctorate of the State" is slightly higher in esteem than a regular doctorate, and is awarded after performing additional in-depth post-doctorate research or ach ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute For Advanced Study Visiting Scholars
An institute is an organisational body created for a certain purpose. They are often research organisations (research institutes) created to do research on specific topics, or can also be a professional body. In some countries, institutes can be part of a university or other institutions of higher education, either as a group of departments or an autonomous educational institution without a traditional university status such as a "university institute" (see Institute of Technology). In some countries, such as South Korea and India, private schools are sometimes referred to as institutes, and in Spain, secondary schools are referred to as institutes. Historically, in some countries institutes were educational units imparting vocational training and often incorporating libraries, also known as mechanics' institutes. The word "institute" comes from a Latin word ''institutum'' meaning "facility" or "habit"; from ''instituere'' meaning "build", "create", "raise" or "educate". ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1986 Deaths
The year 1986 was designated as the International Year of Peace by the United Nations. Events January * January 1 **Aruba gains increased autonomy from the Netherlands by separating from the Netherlands Antilles. **Spain and Portugal enter the European Community, which becomes the European Union in 1993. *January 11 – The Sir Leo Hielscher Bridges, Gateway Bridge in Brisbane, Australia, at this time the world's longest prestressed concrete free-cantilever bridge, is opened. *January 13–January 24, 24 – South Yemen Civil War. *January 20 – The United Kingdom and France announce plans to construct the Channel Tunnel. *January 24 – The Voyager 2 space probe makes its first encounter with Uranus. *January 25 – Yoweri Museveni's National Resistance Army Rebel group takes over Uganda after leading a five-year guerrilla war in which up to half a million people are believed to have been killed. They will later use January 26 as the official date to avoid a coincidence of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1908 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album '' 63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipkno ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Compact Group
In mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space (when an element of the group is operated on, the result is also within the group). Compact groups are a natural generalization of finite groups with the discrete topology and have properties that carry over in significant fashion. Compact groups have a well-understood theory, in relation to group actions and representation theory. In the following we will assume all groups are Hausdorff spaces. Compact Lie groups Lie groups form a class of topological groups, and the compact Lie groups have a particularly well-developed theory. Basic examples of compact Lie groups include * the circle group T and the torus groups T''n'', * the orthogonal group O(''n''), the special orthogonal group SO(''n'') and its covering spin group Spin(''n''), * the unitary group U(''n'') and the special unitary group SU(''n''), * the compact forms of the exceptional Lie groups ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Noncommutative
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Most familiar as the name of the property that says something like or , the property can also be used in more advanced settings. The name is needed because there are operations, such as division and subtraction, that do not have it (for example, ); such operations are ''not'' commutative, and so are referred to as ''noncommutative operations''. The idea that simple operations, such as the multiplication and addition of numbers, are commutative was for many years implicitly assumed. Thus, this property was not named until the 19th century, when mathematics started to become formalized. A similar property exists for binary relations; a binary relation is said to be symmetric if the relation applies regardless of the order of its operands; for example, equality is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pontryagin Duality
In mathematics, Pontryagin duality is a duality (mathematics), duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which include the circle group (the multiplicative group of complex numbers of modulus one), the finite abelian groups (with the discrete topology), and the additive group of the integers (also with the discrete topology), the real numbers, and every dimension (vector space), finite dimensional vector space over the reals or a p-adic field, -adic field. The Pontryagin dual of a locally compact abelian group is the locally compact abelian topological group formed by the continuous group homomorphisms from the group to the circle group with the operation of pointwise multiplication and the topology of uniform convergence on compact sets. The Pontryagin duality theorem establishes Pontryagin duality by stating that any locally compact abelian group is naturally isomorphic with its bidual (the dual of its dual). T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
