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Kenkichi Iwasawa
Kenkichi Iwasawa ( ''Iwasawa Kenkichi'', September 11, 1917 – October 26, 1998) was a Japanese mathematician who is known for his influence on algebraic number theory. Biography Iwasawa was born in Shinshuku-mura, a town near Kiryū, in Gunma Prefecture. He attended elementary school there, but later moved to Tokyo to attend Musashi High School. From 1937 to 1940 Iwasawa studied as an undergraduate at the University of Tokyo, after which he entered graduate school at the same institution and became an assistant in the Department of Mathematics. In 1945 he was awarded a Doctor of Science degree. However, this same year Iwasawa became sick with pleurisy, and was unable to return to his position at the university until April 1947. From 1949 to 1955 he worked as assistant professor at the University of Tokyo. In 1950, Iwasawa was invited to Cambridge, Massachusetts to give a lecture at the International Congress of Mathematicians on his method to study Dedekind zeta functions ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gunma Prefecture
is a landlocked Prefectures of Japan, prefecture of Japan located in the Kantō region of Honshu. Gunma Prefecture has a population of 1,937,626 (1 October 2019) and has a geographic area of . Gunma Prefecture borders Niigata Prefecture and Fukushima Prefecture to the north, Nagano Prefecture to the southwest, Saitama Prefecture to the south, and Tochigi Prefecture to the east. Maebashi is the capital and Takasaki is the largest city of Gunma Prefecture, with other major cities including Ōta, Gunma, Ōta, Isesaki, Gunma, Isesaki, and Kiryū, Gunma, Kiryū. Gunma Prefecture is one of only eight landlocked prefectures, located on the northwestern corner of the Kantō Plain with 14% of its total land being designated as List of national parks of Japan, natural parks. History The ancient province of Gunma was a center of horse breeding and trading activities for the newly immigrated continental peoples (or Toraijin). The arrival of horses and the remains of horse tackle coinci ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
P-adic Exponential Function
In mathematics, particularly ''p''-adic analysis, the ''p''-adic exponential function is a ''p''-adic analogue of the usual exponential function on the complex numbers. As in the complex case, it has an inverse function, named the ''p''-adic logarithm. Definition The usual exponential function on C is defined by the infinite series :\exp(z)=\sum_^\infty \frac. Entirely analogously, one defines the exponential function on C''p'', the completion of the algebraic closure of Q''p'', by :\exp_p(z)=\sum_^\infty\frac. However, unlike exp which converges on all of C, exp''p'' only converges on the disc :, z, _p [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Undergraduate
Undergraduate education is education conducted after secondary education and before postgraduate education, usually in a college or university. It typically includes all postsecondary programs up to the level of a bachelor's degree. For example, in the United States, a student pursuing an associate or bachelor's degree is known as an ''undergraduate student'' while a student who has already obtained a bachelor's degree and is pursuing a higher degree (masters, doctorate) is a ''graduate student''. Upon completion of courses and other requirements of an undergraduate program, the student would earn the corresponding degree. In some other educational systems, undergraduate education is postsecondary education up to and including the level of a master's degree; this is the case for some science courses in Britain and some medicine courses in Europe. By country Africa Nigeria In Nigeria, undergraduate degrees (excluding Medicine, Medical Laboratory Science, Nursing, Engineering, L ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Musashi Junior And Senior High School
is a private boys senior high school in Nerima, Tokyo, Japan. It is an affiliate of the Musashi University. History The school was founded by industrialist Nezu Kaichirō in 1922 as Musashi High School, and used a seven-year system. After the education reforms of 1948, the school was divided into Musashi Senior High School and Musashi Junior High School. Musashi University was founded in 1949 and forms part of the same legal entity. Academics An entrance exam is required for admission. The school aims to produce graduates who are "individuals capable of independent thought and research", and many graduates have enrolled in selective universities inside and outside Japan. Notable alumni * Akito Arima (1930–2020), physicist and former Minister of Education * Toshiro Fujita (1948–), physician and scientist *Yoshitsugu Harada (1952–), politician * Hiroshi Hoketsu (1941–), equestrian * Shinya Inoué (1921–2019), biophysicist *Kenkichi Iwasawa (1917–1998), Cole Pri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elementary School
A primary school (in Ireland, India, the United Kingdom, Australia, New Zealand, Trinidad and Tobago, Jamaica, South Africa, and Singapore), elementary school, or grade school (in North America and the Philippines) is a school for primary education of children who are 4 to 10 years of age (and in many cases, 11 years of age). Primary schooling follows preschool and precedes secondary schooling. The International Standard Classification of Education considers primary education as a single phase where programmes are typically designed to provide fundamental skills in reading, writing, and mathematics and to establish a solid foundation for learning. This is ISCED Level 1: Primary education or first stage of basic education.Annex III in the ISCED 2011 English.pdf Navigate to International St ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kiryū, Gunma
is a Cities of Japan, city located in Gunma Prefecture, Japan. , the city had an estimated population of 108,991 in 49,745 households, and a population density of 400 persons per km2. The total area of the city is . Geography Kiryū is in the southeast part of Gunma, in the northern Kantō Plain near the Tochigi border. It is located approximately northwest of Tokyo. The city is also not far from Mount Akagi, a large but dormant volcano. The city consists of two separate geographic areas, with the city of Midori, Gunma, Midori sandwiched in between. Situated at the foot of Mount Akagi, the city boasts one of the most beautiful settings in the Kantō region. Two rivers, the Kiryū and the Watarase River, run through the heart of the city and it is likewise surrounded by picturesque mountains to the north. Umeda, a district on the north side of the city, is well known for its cedar trees, while red pines are also common in other areas. Surrounding municipalities Gunma Prefecture ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Number Theory
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and Algebraic function field, function fields. These properties, such as whether a ring (mathematics), ring admits unique factorization, the behavior of ideal (ring theory), ideals, and the Galois groups of field (mathematics), fields, can resolve questions of primary importance in number theory, like the existence of solutions to Diophantine equations. History Diophantus The beginnings of algebraic number theory can be traced to Diophantine equations, named after the 3rd-century Alexandrian mathematician, Diophantus, who studied them and developed methods for the solution of some kinds of Diophantine equations. A typical Diophantine problem is to find two in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Asahi Prize
The , established in 1929, is an award presented by the Japanese newspaper ''Asahi Shimbun'' and Asahi Shimbun Foundation to honor individuals and groups that have made outstanding accomplishments in the fields of arts and academics and have greatly contributed to the development and progress of Japanese culture and society at large. The Asahi Prize was created to celebrate the 50th anniversary of the foundation of ''Asahi Shimbun''. It is recognized today as one of the most authoritative private awards. Prize winners Past prize winners include the following. Arts * Tsubouchi Shōyō, novelist, 1929 * Taikan Yokoyama, artist, 1933 * Jigoro Kano, founder of judo, 1935 * Shimazaki Toson, novelist, 1935 * Ryōhei Koiso, painter, 1939 * Jun'ichirō Tanizaki, novelist, 1948 * NHK Symphony Orchestra, 1951 * Mashiho Chiri, 1954 * Eiji Yoshikawa, novelist, 1955 * Shikō Munakata, artist, 1964 * Jirō Osaragi, writer, 1964 * Akira Kurosawa, film director, 1965 * Haruko Sugimura, actress, 1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prize Of The Japan Academy
The is a prize awarded by the Japan Academy in recognition of academic theses, books, and achievements. Overviews An award ceremony has been held every year since 1911. Up to nine of these Prizes are awarded every year. There have been 676 winners and 592 winning works as of 2005. They comprise a certificate, medal, and prize money of one million yen. Ceremony The ceremony is held on the premises of the Japan Academy in Ueno park. The Emperor has been visiting it since 1949. The three prizes awarded during the ceremony are: * The Imperial Prize * Japan Academy Prize * Duke of Edinburgh Prize After the ceremony some laureates give lectures on the topics of their research. Recipients (of Japan Academy Prize) * 2020 ** Minoru Ozima *2016 (106th) ** Kazutoshi Mori ** Yoshihiro Kawaoka *2015 (105th) ** Hideo Hosono ** Hiroaki Mitsuya *2014 (104th) ** Isamu Akasaki ** Takao Kondo ** Hiraku Nakajima * 2013 (103rd) **Yoshinori Tokura * 2012 (102nd) **Takaaki Kajita **Shimon ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cole Prize
The Frank Nelson Cole Prize, or Cole Prize for short, is one of twenty-two prizes awarded to mathematicians by the American Mathematical Society, one for an outstanding contribution to algebra, and the other for an outstanding contribution to number theory.. The prize is named after Frank Nelson Cole, who served the Society for 25 years. The Cole Prize in algebra was funded by Cole himself, from funds given to him as a retirement gift; the prize fund was later augmented by his son, leading to the double award.. The prizes recognize a notable research work in algebra (given every three years) or number theory (given every three years) that has appeared in the last six years. The work must be published in a recognized, peer-reviewed venue. The first award for algebra was made in 1928 to L. E. Dickson, while the first award for number theory was made in 1931 to H. S. Vandiver. Frank Nelson Cole Prize in Algebra Frank Nelson Cole Prize in Number Theory For full citations, see exter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maximal Compact Subgroup
In mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ..., a maximal compact subgroup ''K'' of a topological group ''G'' is a subgroup ''K'' that is a compact space, in the subspace topology, and maximal amongst such subgroups. Maximal compact subgroups play an important role in the classification of Lie groups and especially semi-simple Lie groups. Maximal compact subgroups of Lie groups are ''not'' in general unique, but are unique up to conjugation – they are essentially unique. Example An example would be the subgroup O(2), the orthogonal group, inside the general linear group GL(2, R). A related example is the circle group SO(2) inside SL(2, R). Evidently SO(2) inside GL(2, R) is compact and not maximal. The non-uniqueness of these examples can be seen as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
