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K. S. S. Nambooripad
K. S. S. Nambooripad (6 April 1935 – 4 January 2020) was an Indian mathematician who has made fundamental contributions to the structure theory of regular semigroups. Nambooripad was also instrumental in popularising the TeX software in India and also in introducing and championing the cause of the free software movement in India. He was with the Department of Mathematics, University of Kerala, since 1976. He served the Department as its Head from 1983 until his retirement from University service in 1995. After retirement, he was associating with the academic and research activities of the Center for Mathematical Sciences, Thiruvananthapuram in various capacities. He died on January 4, 2020, in Thiruvananthapuram, at the age of 84. Early years Nambooripad was born on 6 April 1935 in Puttumanoor near Cochin in a Kerala Nambudiri Brahmin family from central Kerala . He received traditional vedic education up to the age of fifteen after which he joined a modern school offeri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cochin
Kochi (), also known as Cochin ( ) ( the official name until 1996) is a major port city on the Malabar Coast of India bordering the Laccadive Sea, which is a part of the Arabian Sea. It is part of the district of Ernakulam in the state of Kerala and is commonly referred to as Ernakulam. Kochi is the most densely populated city in Kerala. As of 2011, it has a corporation limit population of 677,381 within an area of 94.88 km2 and a total urban population of more than of 2.1 million within an area of 440 km2, making it the largest and the most populous metropolitan area in Kerala. Kochi city is also part of the Greater Cochin region and is classified as a Tier-II city by the Government of India. The civic body that governs the city is the Kochi Municipal Corporation, which was constituted in the year 1967, and the statutory bodies that oversee its development are the Greater Cochin Development Authority (GCDA) and the Goshree Islands Development Authority (GIDA) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Set (mathematics)
A set is the mathematical model for a collection of different things; a set contains '' elements'' or ''members'', which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton. A set may have a finite number of elements or be an infinite set. Two sets are equal if they have precisely the same elements. Sets are ubiquitous in modern mathematics. Indeed, set theory, more specifically Zermelo–Fraenkel set theory, has been the standard way to provide rigorous foundations for all branches of mathematics since the first half of the 20th century. History The concept of a set emerged in mathematics at the end of the 19th century. The German word for set, ''Menge'', was coined by Bernard Bolzano in his work ''Paradoxes of the Infinite''. Georg Cantor, one of the founders of set theory, gave the following defin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rectangular Band
In mathematics, a band (also called idempotent semigroup) is a semigroup in which every element is idempotent (in other words equal to its own square). Bands were first studied and named by ; the lattice of varieties of bands was described independently in the early 1970s by Biryukov, Fennemore and Gerhard. Semilattices, left-zero bands, right-zero bands, rectangular bands, normal bands, left-regular bands, right-regular bands and regular bands, specific subclasses of bands that lie near the bottom of this lattice, are of particular interest and are briefly described below. Varieties of bands A class of bands forms a variety if it is closed under formation of subsemigroups, homomorphic images and direct product. Each variety of bands can be defined by a single defining identity. Semilattices Semilattices are exactly commutative bands; that is, they are the bands satisfying the equation * for all and . Bands induce a preorder that may be defined as x \leq y if and only if ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
János Bolyai
János Bolyai (; 15 December 1802 – 27 January 1860) or Johann Bolyai, was a Hungarian mathematician, who developed absolute geometry—a geometry that includes both Euclidean geometry and hyperbolic geometry. The discovery of a consistent alternative geometry that might correspond to the structure of the universe helped to free mathematicians to study abstract concepts irrespective of any possible connection with the physical world. Early life Bolyai was born in the Hungarian town of Kolozsvár, Grand Principality of Transylvania (now Cluj-Napoca in Romania), the son of Zsuzsanna Benkő and the well-known mathematician Farkas Bolyai. By the age of 13, he had mastered calculus and other forms of analytical mechanics, receiving instruction from his father. He studied at the Imperial and Royal Military Academy (TherMilAk) in Vienna from 1818 to 1822. Career Bolyai became so obsessed with Euclid's parallel postulate that his father, who had pursued the same subject for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Society Of Edinburgh
The Royal Society of Edinburgh is Scotland's national academy of science and letters. It is a registered charity that operates on a wholly independent and non-partisan basis and provides public benefit throughout Scotland. It was established in 1783. , there are around 1,800 Fellows. The Society covers a broader selection of fields than the Royal Society of London, including literature and history. Fellowship includes people from a wide range of disciplines – science & technology, arts, humanities, medicine, social science, business, and public service. History At the start of the 18th century, Edinburgh's intellectual climate fostered many clubs and societies (see Scottish Enlightenment). Though there were several that treated the arts, sciences and medicine, the most prestigious was the Society for the Improvement of Medical Knowledge, commonly referred to as the Medical Society of Edinburgh, co-founded by the mathematician Colin Maclaurin in 1731. Maclaurin was unhappy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edinburgh Mathematical Society
The Edinburgh Mathematical Society is a mathematical society for academics in Scotland. History The Society was founded in 1883 by a group of Edinburgh school teachers and academics, on the initiative of Alexander Yule Fraser FRSE and Andrew Jeffrey Gunion Barclay FRSE, both maths teachers at George Watson's College, and Cargill Gilston Knott, the assistant of Peter Guthrie Tait, professor of physics at the University of Edinburgh. The first president, elected at first meeting on 2 February 1883, was J.S. Mackay, the head mathematics master at the Edinburgh Academy. The Society was founded at a time when mathematics societies were being created around the world, but it was unusual in being founded by school teachers rather than university lecturers. This was because, due to the very small number of mathematical academic positions in Scotland at the time, many skilled mathematics graduates chose to become schoolteachers instead. The fifty five founding members contained teachers, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nambooripad Order
In mathematics, Nambooripad order (also called Nambooripad's partial order) is a certain natural partial order on a regular semigroup discovered by K S S Nambooripad in late seventies. Since the same partial order was also independently discovered by Robert E Hartwig, some authors refer to it as Hartwig–Nambooripad order. "Natural" here means that the order is defined in terms of the operation on the semigroup. In general Nambooripad's order in a regular semigroup is not compatible with multiplication. It is compatible with multiplication only if the semigroup is pseudo-inverse (locally inverse). Precursors Nambooripad's partial order is a generalisation of an earlier known partial order on the set of idempotents in any semigroup. The partial order on the set ''E'' of idempotents in a semigroup ''S'' is defined as follows: For any ''e'' and ''f'' in ''E'', ''e'' ≤ ''f'' if and only if ''e'' = ''ef'' = ''fe''. Vagner in 1952 had extended th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
TeX Users Group
Tex may refer to: People and fictional characters * Tex (nickname), a list of people and fictional characters with the nickname * Joe Tex (1933–1982), stage name of American soul singer Joseph Arrington Jr. Entertainment * ''Tex'', the Italian comic book series by Sergio Bonelli Editore * Tex (novel), ''Tex'' (novel) (1979), by S.E. Hinton * Tex (film), ''Tex'' (film), a 1982 film based on S.E. Hinton's novel, starring Matt Dillon * Tex, the robot mascot for the American audio company THX Computing *TeX, a typesetting system created by Donald Knuth and released in 1978 **.tex, a file extension for TeX and LaTeX *Text Executive Programming Language, introduced by Honeywell in 1979 Other uses * TEX (explosive), an explosive chemical compound *Tex (unit), a unit of measure for the linear mass density of fibers *Nestlé Tex, a South African chocolate bar *IATA airport code for Telluride Regional Airport See also *Big Tex, the icon of the annual State Fair of Texas *Textainer G ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chandroth Vasudevan Radhakrishnan
Chandroth Vasudevan Radhakrishnan (ചന്ദ്രോത്ത് വാസുദേവൻ രാധാകൃഷ്ണൻ) aka CV Radhakrishnan aka CVR (born 20 January 1953), is an Indian free software developer, entrepreneur and the Founder of River Valley Technologies. He is also one of the founding members of TeX Users Group in India.Sebastian RahtzInaugural meeting of TUGIndia– TUGboat, Volume 19 (1998), No. 1 (PDF). Early life The eldest of four children, CV Radhakrishnan was born on 20 January 1953 in the village of Kuzhithurai in Kanyakumari district, now part of the state of Tamil Nadu, India. Career Radhakrishnan started his career at the Indian Telecom department where he worked briefly for six months in 1973. From there, he moved to Delhi and joined the Ministry of Shipping and Transport. While working in Delhi, he experienced a weakness in his leg muscles and was diagnosed with a neurological disorder known as peroneal muscular dystrophy. Informed by the doctor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Biordered Set
A biordered set (otherwise known as boset) is a mathematical object that occurs in the description of the structure of the set of idempotents in a semigroup. The set of idempotents in a semigroup is a biordered set and every biordered set is the set of idempotents of some semigroup. A regular biordered set is a biordered set with an additional property. The set of idempotents in a regular semigroup is a regular biordered set, and every regular biordered set is the set of idempotents of some regular semigroup. History The concept and the terminology were developed by K S S Nambooripad in the early 1970s. In 2002, Patrick Jordan introduced the term boset as an abbreviation of biordered set. The defining properties of a biordered set are expressed in terms of two quasiorders defined on the set and hence the name biordered set. According to Mohan S. Putcha, "The axioms defining a biordered set are quite complicated. However, considering the general nature of semigroups, it is ra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Idempotent
Idempotence (, ) is the property of certain operation (mathematics), operations in mathematics and computer science whereby they can be applied multiple times without changing the result beyond the initial application. The concept of idempotence arises in a number of places in abstract algebra (in particular, in the theory of projector (linear algebra), projectors and closure operators) and functional programming (in which it is connected to the property of referential transparency). The term was introduced by American mathematician Benjamin Peirce in 1870 in the context of elements of algebras that remain invariant when raised to a positive integer power, and literally means "(the quality of having) the same power", from + ''wikt:potence, potence'' (same + power). Definition An element x of a set S equipped with a binary operator \cdot is said to be ''idempotent'' under \cdot if : . The ''binary operation'' \cdot is said to be ''idempotent'' if : . Examples * In the monoid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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