Narayana's Cows
Nārāyaṇa Paṇḍita ( sa, नारायण पण्डित) (1340–1400) was an Indian mathematician. Plofker writes that his texts were the most significant Sanskrit mathematics treatises after those of Bhaskara II, other than the Kerala school. He wrote the '' Ganita Kaumudi'' (lit "Moonlight of mathematics") in 1356 about mathematical operations. The work anticipated many developments in combinatorics. About his life, the most that is known is that: Narayana Pandit wrote two works, an arithmetical treatise called ''Ganita Kaumudi'' and an algebraic treatise called ''Bijaganita Vatamsa''. Narayanan is also thought to be the author of an elaborate commentary of Bhaskara II's Lilavati, titled ''Karmapradipika'' (or ''Karma-Paddhati''). Although the ''Karmapradipika'' contains little original work, it contains seven different methods for squaring numbers, a contribution that is wholly original to the author, as well as contributions to algebra and magic squares. Na ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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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, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); 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' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) 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 mathematician recorded by history was Hypati ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Derivative
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. For this reason, the derivative is often described as the "instantaneous rate of change", the ratio of the instantaneous change in the dependent variable to that of the independent variable. Derivatives can be generalized to functions of several real variables. In this generalization, the derivativ ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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1400 Deaths
Fourteen or 14 may refer to: * 14 (number), the natural number following 13 and preceding 15 * one of the years 14 BC, AD 14, 1914, 2014 Music * 14th (band), a British electronic music duo * ''14'' (David Garrett album), 2013 *''14'', an unreleased album by Charli XCX * "14" (song), 2007, from ''Courage'' by Paula Cole Other uses * ''Fourteen'' (film), a 2019 American film directed by Dan Sallitt * ''Fourteen'' (play), a 1919 play by Alice Gerstenberg * ''Fourteen'' (manga), a 1990 manga series by Kazuo Umezu * ''14'' (novel), a 2013 science fiction novel by Peter Clines * ''The 14'', a 1973 British drama film directed by David Hemmings * Fourteen, West Virginia, United States, an unincorporated community * Lot Fourteen, redevelopment site in Adelaide, South Australia, previously occupied by the Royal Adelaide Hospital * "The Fourteen", a nickname for NASA Astronaut Group 3 * Fourteen Words, a phrase used by white supremacists and Nazis See also * 1/4 (other) * Fo ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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1340 Births
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134 may refer to: * 134 (number) * AD 134 * 134 BC * 134 (MBTA bus) *134 (New Jersey bus) 134 may refer to: *134 (number) * AD 134 *134 BC *134 (MBTA bus) The Massachusetts Bay Transportation Authority bus division operates bus routes in the Boston, Massachusetts metropolitan area. All routes connect to MBTA subway, MBTA Commuter Ra ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Brill Publishers
Brill Academic Publishers (known as E. J. Brill, Koninklijke Brill, Brill ()) is a Dutch international academic publisher founded in 1683 in Leiden, Netherlands. With offices in Leiden, Boston, Paderborn and Singapore, Brill today publishes 275 journals and around 1200 new books and reference works each year all of which are "subject to external, single or double-blind peer review." In addition, Brill provides of primary source materials online and on microform for researchers in the humanities and social sciences. Areas of publication Brill publishes in the following subject areas: * Humanities: :* African Studies :* American Studies :* Ancient Near East and Egypt Studies :* Archaeology, Art & Architecture :* Asian Studies (Hotei Publishing and Global Oriental imprints) :* Classical Studies :* Education :* Jewish Studies :* Literature and Cultural Studies (under the Brill-Rodopi imprint) :* Media Studies :* Middle East and Islamic Studies :* Philosophy :* Religious Studies ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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David Pingree
David Edwin Pingree (January 2, 1933, New Haven, Connecticut – November 11, 2005, Providence, Rhode Island) was an American historian of mathematics in the ancient world. He was a University Professor and Professor of History of Mathematics and Classics at Brown University. Life Pingree graduated from Phillips Academy in Andover, Massachusetts in 1950. He studied at Harvard University, where he earned his doctorate in 1960 with a dissertation on the supposed transmission of Hellenistic astrology to India. His dissertation was supervised by Daniel Henry Holmes Ingalls, Sr. and Otto Eduard Neugebauer. After completing his PhD, Pingree remained at Harvard three more years as a member of its Society of Fellows before moving to the University of Chicago to accept the position of Research Associate at the Oriental Institute. He joined the History of Mathematics Department at Brown University in 1971, eventually holding the chair until his death. As successor to Otto Neugebau ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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University Of St Andrews
(Aien aristeuein) , motto_lang = grc , mottoeng = Ever to ExcelorEver to be the Best , established = , type = Public research university Ancient university , endowment = £117.7 million (2021) , budget = £286.6 million (2020–21) , chancellor = The Lord Campbell of Pittenweem , rector = Leyla Hussein , principal = Sally Mapstone , academic_staff = 1,230 (2020) , administrative_staff = 1,576 , students = () , undergrad = () , postgrad = () , doctoral = , other = , city = St Andrews , state = , country = Scotland , coordinates = , campus = College town , colours = United College, St Andrews St Mary's College School of Medicine S ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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MacTutor History Of Mathematics Archive
The MacTutor History of Mathematics archive is a website maintained by John J. O'Connor and Edmund F. Robertson and hosted by the University of St Andrews in Scotland. It contains detailed biographies on many historical and contemporary mathematicians, as well as information on famous curves and various topics in the history of mathematics. The History of Mathematics archive was an outgrowth of Mathematical MacTutor system, a HyperCard database by the same authors, which won them the European Academic Software award in 1994. In the same year, they founded their web site. it has biographies on over 2800 mathematicians and scientists. In 2015, O'Connor and Robertson won the Hirst Prize of the London Mathematical Society for their work... The citation for the Hirst Prize calls the archive "the most widely used and influential web-based resource in history of mathematics". See also * Mathematics Genealogy Project * MathWorld * PlanetMath PlanetMath is a free, collaborative, m ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Supergolden Ratio
In mathematics, two quantities are in the supergolden ratio if the quotient of the larger number divided by the smaller one is equal to :\psi = \frac which is the only real solution to the equation x^3 = x^2+1. It can also be represented using the hyperbolic cosine as: : \psi = \frac \cosh + \frac The decimal expansion of this number begins 1.465571231876768026656731…, and the ratio is commonly represented by the Greek letter \psi (psi). Its reciprocal is: :\frac1 = \sqrt \sqrt = \tfrac \sinh\left(\tfrac \sinh^\!\left( \tfrac \right)\right) The supergolden ratio is also the fourth smallest Pisot number. Supergolden sequence The supergolden sequence, also known as the Narayana's cows sequence, is a sequence where the ratio between consecutive terms approaches the supergolden ratio. The first three terms are each one, and each term after that is calculated by adding the previous term and the term two places before that; that is, a_ = a_n + a_, with a_ = a_ =a_ = 1. The fi ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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OEIS
The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching at AT&T Labs. He transferred the intellectual property and hosting of the OEIS to the OEIS Foundation in 2009. Sloane is chairman of the OEIS Foundation. OEIS records information on integer sequences of interest to both professional and amateur mathematicians, and is widely cited. , it contains over 350,000 sequences, making it the largest database of its kind. Each entry contains the leading terms of the sequence, keywords, mathematical motivations, literature links, and more, including the option to generate a graph or play a musical representation of the sequence. The database is searchable by keyword, by subsequence, or by any of 16 fields. History Neil Sloane started collecting integer sequences as a graduate student in 1965 to support his work in combinatorics. The database was at first stored on punched cards. H ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Permutation
In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set. Permutations differ from combinations, which are selections of some members of a set regardless of order. For example, written as tuples, there are six permutations of the set , namely (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1). These are all the possible orderings of this three-element set. Anagrams of words whose letters are different are also permutations: the letters are already ordered in the original word, and the anagram is a reordering of the letters. The study of permutations of finite sets is an important topic in the fields of combinatorics and group theory. Permutations are used in almost every branch of mathematics, and in many other fields of scie ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Cyclic Quadrilateral
In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the ''circumcircle'' or ''circumscribed circle'', and the vertices are said to be ''concyclic''. The center of the circle and its radius are called the ''circumcenter'' and the ''circumradius'' respectively. Other names for these quadrilaterals are concyclic quadrilateral and chordal quadrilateral, the latter since the sides of the quadrilateral are chords of the circumcircle. Usually the quadrilateral is assumed to be convex, but there are also crossed cyclic quadrilaterals. The formulas and properties given below are valid in the convex case. The word cyclic is from the Ancient Greek (''kuklos''), which means "circle" or "wheel". All triangles have a circumcircle, but not all quadrilaterals do. An example of a quadrilateral that cannot be cyclic is a non-square rhombus. The section characterizations below states what n ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |