source stringlengths 31 168 | text stringlengths 51 3k |
|---|---|
https://en.wikipedia.org/wiki/API-Calculus | API Calculus is a program that solves calculus problems using operating systems within a device that solves calculus problems. In 1989, the PI- Calculus was created by Robin Milner and was very successful throughout the years. The PI Calculus is an extension of the process algebra CCS, a tool that has algebraic langua... |
https://en.wikipedia.org/wiki/List%20of%20formulas%20in%20Riemannian%20geometry | This is a list of formulas encountered in Riemannian geometry. Einstein notation is used throughout this article. This article uses the "analyst's" sign convention for Laplacians, except when noted otherwise.
Christoffel symbols, covariant derivative
In a smooth coordinate chart, the Christoffel symbols of the first ... |
https://en.wikipedia.org/wiki/Calculus%20on%20manifolds | Calculus on manifolds may refer to:
Calculus on Manifolds, an undergraduate real analysis and differential geometry textbook by Michael Spivak
The generalization of differential and Integral calculus to differentiable manifolds. For this, see Calculus on Euclidean space#Calculus on manifolds.
See also
Differential geo... |
https://en.wikipedia.org/wiki/Extremally%20disconnected%20space | In mathematics, an extremally disconnected space is a topological space in which the closure of every open set is open. (The term "extremally disconnected" is correct, even though the word "extremally" does not appear in most dictionaries, and is sometimes mistaken by spellcheckers for the homophone extremely disconnec... |
https://en.wikipedia.org/wiki/Paranormal%20space | In mathematics, in the realm of topology, a paranormal space is a topological space in which every countable discrete collection of closed sets has a locally finite open expansion.
See also
– a topological space in which every two disjoint closed sets have disjoint open neighborhoods
– a topological space ... |
https://en.wikipedia.org/wiki/Rational%20representation | In mathematics, in the representation theory of algebraic groups, a linear representation of an algebraic group is said to be rational if, viewed as a map from the group to the general linear group, it is a rational map of algebraic varieties.
Finite direct sums and products of rational representations are rational.
... |
https://en.wikipedia.org/wiki/Observable%20subgroup | In mathematics, in the representation theory of algebraic groups, an observable subgroup is an algebraic subgroup of a linear algebraic group whose every finite-dimensional rational representation arises as the restriction to the subgroup of a finite-dimensional rational representation of the whole group.
An equivalen... |
https://en.wikipedia.org/wiki/Ambient%20construction | In conformal geometry, the ambient construction refers to a construction of Charles Fefferman and Robin Graham for which a conformal manifold of dimension n is realized (ambiently) as the boundary of a certain Poincaré manifold, or alternatively as the celestial sphere of a certain pseudo-Riemannian manifold.
The ambi... |
https://en.wikipedia.org/wiki/Bach%20tensor | In differential geometry and general relativity, the Bach tensor is a trace-free tensor of rank 2 which is conformally invariant in dimension . Before 1968, it was the only known conformally invariant tensor that is algebraically independent of the Weyl tensor. In abstract indices the Bach tensor is given by
where is... |
https://en.wikipedia.org/wiki/Rothe%E2%80%93Hagen%20identity | In mathematics, the Rothe–Hagen identity is a mathematical identity valid for all complex numbers () except where its denominators vanish:
It is a generalization of Vandermonde's identity, and is named after Heinrich August Rothe and Johann Georg Hagen.
References
.
. See especially pp. 89–91.
. As cited by .
.
. As ... |
https://en.wikipedia.org/wiki/Notre-Dame-du-Mont-Carmel%2C%20Quebec | Notre-Dame-du-Mont-Carmel (Parish municipality)
in the Mauricie region of the province of Quebec in Canada.
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Notre-Dame-du-Mont-Carmel had a population of living in of its total private dwellings, a change of from its 2016 population of ... |
https://en.wikipedia.org/wiki/Grosshans%20subgroup | In mathematics, in the representation theory of algebraic groups, a Grosshans subgroup, named after Frank Grosshans, is an algebraic subgroup of an algebraic group that is an observable subgroup for which the ring of functions on the quotient variety is finitely generated.
References
External links
Invariants of Uni... |
https://en.wikipedia.org/wiki/Chebyshev%20function | In mathematics, the Chebyshev function is either a scalarising function (Tchebycheff function) or one of two related functions. The first Chebyshev function or is given by
where denotes the natural logarithm, with the sum extending over all prime numbers that are less than or equal to .
The second Chebyshev func... |
https://en.wikipedia.org/wiki/Implicational%20propositional%20calculus | In mathematical logic, the implicational propositional calculus is a version of classical propositional calculus which uses only one connective, called implication or conditional. In formulas, this binary operation is indicated by "implies", "if ..., then ...", "→", "", etc..
Functional (in)completeness
Implication al... |
https://en.wikipedia.org/wiki/Jacobi%20rotation | In numerical linear algebra, a Jacobi rotation is a rotation, Qkℓ, of a 2-dimensional linear subspace of an n-dimensional inner product space, chosen to zero a symmetric pair of off-diagonal entries of an n×n real symmetric matrix, A, when applied as a similarity transformation:
It is the core operation in the J... |
https://en.wikipedia.org/wiki/Inner%20measure | In mathematics, in particular in measure theory, an inner measure is a function on the power set of a given set, with values in the extended real numbers, satisfying some technical conditions. Intuitively, the inner measure of a set is a lower bound of the size of that set.
Definition
An inner measure is a set funct... |
https://en.wikipedia.org/wiki/Mathematics%20and%20Science%20High%20School%20at%20Clover%20Hill | The Chesterfield County Mathematics and Science High School at Clover Hill is a magnet school in Midlothian, Virginia. The school, which is on the campus of Clover Hill High School, opened in September 1994. The school is a member of the National Consortium for Specialized Secondary Schools of Mathematics, Science, ... |
https://en.wikipedia.org/wiki/Tractor%20bundle | In conformal geometry, the tractor bundle is a particular vector bundle constructed on a conformal manifold whose fibres form an effective representation of the conformal group (see associated bundle).
The term tractor is a portmanteau of "Tracy Thomas" and "twistor", the bundle having been introduced first by T. Y... |
https://en.wikipedia.org/wiki/John%20L.%20Kelley | John L. Kelley (December 6, 1916, Kansas – November 26, 1999, Berkeley, California) was an American mathematician at the University of California, Berkeley, who worked in general topology and functional analysis.
Kelley's 1955 text, General Topology, which eventually appeared in three editions and several translations... |
https://en.wikipedia.org/wiki/Conformal%20connection | In conformal differential geometry, a conformal connection is a Cartan connection on an n-dimensional manifold M arising as a deformation of the Klein geometry given by the celestial n-sphere, viewed as the homogeneous space
O+(n+1,1)/P
where P is the stabilizer of a fixed null line through the origin in Rn+2, in the... |
https://en.wikipedia.org/wiki/Quasitopological%20space | In mathematics, a quasi-topology on a set X is a function that associates to every compact Hausdorff space C a collection of mappings from C to X satisfying certain natural conditions. A set with a quasi-topology is called a quasitopological space.
They were introduced by Spanier, who showed that there is a natural qu... |
https://en.wikipedia.org/wiki/Riesz%20mean | In mathematics, the Riesz mean is a certain mean of the terms in a series. They were introduced by Marcel Riesz in 1911 as an improvement over the Cesàro mean. The Riesz mean should not be confused with the Bochner–Riesz mean or the Strong–Riesz mean.
Definition
Given a series , the Riesz mean of the series is defined... |
https://en.wikipedia.org/wiki/Joseph%20Bernstein | Joseph Bernstein (sometimes spelled I. N. Bernshtein; ; ; born 18 April 1945) is a Soviet-born Israeli mathematician working at Tel Aviv University. He works in algebraic geometry, representation theory, and number theory.
Biography
Bernstein received his Ph.D. in 1972 under Israel Gelfand at Moscow State University.... |
https://en.wikipedia.org/wiki/Center%20of%20curvature | In geometry, the center of curvature of a curve is found at a point that is at a distance from the curve equal to the radius of curvature lying on the normal vector. It is the point at infinity if the curvature is zero. The osculating circle to the curve is centered at the centre of curvature. Cauchy defined the cen... |
https://en.wikipedia.org/wiki/Holonomic%20function | In mathematics, and more specifically in analysis, a holonomic function is a smooth function of several variables that is a solution of a system of linear homogeneous differential equations with polynomial coefficients and satisfies a suitable dimension condition in terms of D-modules theory. More precisely, a holonom... |
https://en.wikipedia.org/wiki/Antiparallelogram | In geometry, an antiparallelogram is a type of self-crossing quadrilateral. Like a parallelogram, an antiparallelogram has two opposite pairs of equal-length sides, but these pairs of sides are not in general parallel. Instead, each pair of sides is antiparallel with respect to the other, with sides in the longer pair ... |
https://en.wikipedia.org/wiki/Acyclic%20object | In mathematics, in the field of homological algebra, given an abelian category
having enough injectives and an additive (covariant) functor
,
an acyclic object with respect to , or simply an -acyclic object, is an object in such that
for all ,
where are the right derived functors of
.
References
Homolog... |
https://en.wikipedia.org/wiki/Nodec%20space | In topology and related areas of mathematics, a topological space is a nodec space if every nowhere dense subset of is closed. This concept was introduced and studied by .
References
.
General topology |
https://en.wikipedia.org/wiki/James%20Earl%20Baumgartner | James Earl Baumgartner (March 23, 1943 – December 28, 2011) was an American mathematician who worked in set theory, mathematical logic and foundations, and topology.
Baumgartner was born in Wichita, Kansas, began his undergraduate study at the California Institute of Technology in 1960, then transferred to the Univers... |
https://en.wikipedia.org/wiki/Robbins%20algebra | In abstract algebra, a Robbins algebra is an algebra containing a single binary operation, usually denoted by , and a single unary operation usually denoted by satisfying the following axioms:
For all elements a, b, and c:
Associativity:
Commutativity:
Robbins equation:
For many years, it was conjectured, but ... |
https://en.wikipedia.org/wiki/Representation%20rigid%20group | In mathematics, in the representation theory of groups, a group is said to be representation rigid if for every , it has only finitely many isomorphism classes of complex irreducible representations of dimension .
External links
The proalgebraic completion of rigid groups
Properties of groups
Representation theory o... |
https://en.wikipedia.org/wiki/Capable%20group | In mathematics, in the realm of group theory, a group is said to be capable if it occurs as the inner automorphism group of some group. These groups were first studied by Reinhold Baer, who showed that a finite abelian group is capable if and only if it is a product of cyclic groups of orders n1, ..., nk where ni divi... |
https://en.wikipedia.org/wiki/Evelyn%20Boyd%20Granville | Evelyn Boyd Granville (May 1, 1924 – June 27, 2023) was the second African-American woman to receive a Ph.D. in mathematics from an American university; she earned it in 1949 from Yale University. She graduated from Smith College in 1945. She performed pioneering work in the field of computing.
Education
Evelyn Boyd w... |
https://en.wikipedia.org/wiki/Heegner%20point | In mathematics, a Heegner point is a point on a modular curve that is the image of a quadratic imaginary point of the upper half-plane. They were defined by Bryan Birch and named after Kurt Heegner, who used similar ideas to prove Gauss's conjecture on imaginary quadratic fields of class number one.
Gross–Zagier theor... |
https://en.wikipedia.org/wiki/Rigid%20analytic%20space | In mathematics, a rigid analytic space is an analogue of a complex analytic space over a nonarchimedean field. Such spaces were introduced by John Tate in 1962, as an outgrowth of his work on uniformizing p-adic elliptic curves with bad reduction using the multiplicative group. In contrast to the classical theory of p... |
https://en.wikipedia.org/wiki/List%20of%20urban%20areas%20in%20Denmark%20by%20population | This is a list of urban areas in Denmark by population. For a list on cities in Denmark please see List of cities in Denmark by population.
The population is measured by Statistics Denmark for urban areas (Danish: byområder or bymæssige områder), which is defined as a contiguous built-up area with a maximum distance o... |
https://en.wikipedia.org/wiki/Bill%20Chen | William Chen (born 1970 in Williamsburg, Virginia) is an American quantitative analyst, poker player, software designer, and badminton player.
Biography
Chen holds a Ph.D. in mathematics (1999) from the University of California, Berkeley. He was an undergraduate at Washington University in St. Louis triple-majoring in... |
https://en.wikipedia.org/wiki/Truncatable%20prime | In number theory, a left-truncatable prime is a prime number which, in a given base, contains no 0, and if the leading ("left") digit is successively removed, then all resulting numbers are prime. For example, 9137, since 9137, 137, 37 and 7 are all prime. Decimal representation is often assumed and always used in this... |
https://en.wikipedia.org/wiki/Sandvika%2C%20Innlandet | Sandvika is a village in Stange Municipality in Innlandet county, Norway. The village is located along the lake Mjøsa, just across a bay from the city of Hamar. Statistics Norway considers this to be part of the Bekkelaget urban area, so its statistics are not tracked.
References
Stange
Villages in Innlandet |
https://en.wikipedia.org/wiki/Mordell%E2%80%93Weil%20group | In arithmetic geometry, the Mordell–Weil group is an abelian group associated to any abelian variety defined over a number field , it is an arithmetic invariant of the Abelian variety. It is simply the group of -points of , so is the Mordell–Weil grouppg 207. The main structure theorem about this group is the Mordell... |
https://en.wikipedia.org/wiki/Kat%C4%9Btov%E2%80%93Tong%20insertion%20theorem | The Katětov–Tong insertion theorem is a theorem of point-set topology proved independently by Miroslav Katětov and Hing Tong in the 1950s. The theorem states the following:
Let be a normal topological space and let be functions with g upper semicontinuous, h lower semicontinuous and . Then there exists a continuous... |
https://en.wikipedia.org/wiki/Conical%20function | In mathematics, conical functions or Mehler functions are functions which can be expressed in terms of Legendre functions of the first and second kind,
and
The functions were introduced by Gustav Ferdinand Mehler, in 1868, when expanding in series the distance of a point on the axis of a cone to a point located on ... |
https://en.wikipedia.org/wiki/%C3%98stby%2C%20Innlandet | Østby is a village in Trysil municipality, Innlandet county, Norway. The population of the village in 2003 was 205, but since 2004 it has not been considered an urban settlement by Statistics Norway, and its data is therefore no longer tracked separately. (Locals say that about 200 people live there).
In Østby, there ... |
https://en.wikipedia.org/wiki/Konglungen | Konglungen is a village in Asker municipality, Norway.
Its population in 1999 was 208, but since 2001 it is not considered an urban settlement by Statistics Norway, and its data is therefore not registered.
References
Villages in Viken (county)
Villages in Akershus
Villages in Asker
Villages in Northern Asker
Asker |
https://en.wikipedia.org/wiki/Bisection%20bandwidth | In computer networking, if the network is bisected into two equal-sized partitions, the bisection bandwidth of a network topology is the bandwidth available between the two partitions. Bisection should be done in such a way that the bandwidth between two partitions is minimum. Bisection bandwidth gives the true bandwid... |
https://en.wikipedia.org/wiki/Edison%20Academy%20Magnet%20School | The Edison Academy Magnet School (formerly known as the Middlesex County Academy for Science, Mathematics and Engineering Technologies) is a four-year career academy and college preparatory magnet public high school located on the campus of the Middlesex County College in Edison, in Middlesex County, New Jersey, United... |
https://en.wikipedia.org/wiki/Outline%20of%20algebraic%20structures | In mathematics, there are many types of algebraic structures which are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties. Algebraic structures may be viewed in different ways, however the common starting point of algebra texts is that an algebraic object incorporates... |
https://en.wikipedia.org/wiki/Band%20%28algebra%29 | 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. Semilattic... |
https://en.wikipedia.org/wiki/Zerosumfree%20monoid | In abstract algebra, an additive monoid is said to be zerosumfree, conical, centerless or positive if nonzero elements do not sum to zero. Formally:
This means that the only way zero can be expressed as a sum is as .
References
Semigroup theory |
https://en.wikipedia.org/wiki/Maha%20Ganapathi%20Mahammaya%20Temple | The Shirali Maha Ganapathi Mahammaya Temple is the Kuladevata Temple (family temple) of the Goud Saraswat Brahmin community. The temple deity is a Kuladev of the Kamaths, Bhats, Puraniks, Prabhus, Joishys, Mallyas, Kudvas and Nayak families from the Goud Saraswat Brahmin community. The temple is located at Shirali in t... |
https://en.wikipedia.org/wiki/Grothendieck%20connection | In algebraic geometry and synthetic differential geometry, a Grothendieck connection is a way of viewing connections in terms of descent data from infinitesimal neighbourhoods of the diagonal.
Introduction and motivation
The Grothendieck connection is a generalization of the Gauss–Manin connection constructed in a man... |
https://en.wikipedia.org/wiki/Journal%20of%20Business%20%26%20Economic%20Statistics | The Journal of Business & Economic Statistics is a quarterly peer-reviewed academic journal published by the American Statistical Association. The journal covers a broad range of applied problems in business and economic statistics, including forecasting, seasonal adjustment, applied demand and cost analysis, applied e... |
https://en.wikipedia.org/wiki/Technometrics | Technometrics is a journal of statistics for the physical, chemical, and engineering sciences, published quarterly since 1959 by the American Society for Quality and the American Statistical Association.
Statement of purpose
The purpose of Technometrics is to contribute to the development and use of statistical metho... |
https://en.wikipedia.org/wiki/Miroslav%20Kat%C4%9Btov | Miroslav Katětov (; March 17, 1918, Chembar, Russia – December 15, 1995) was a Czech mathematician, chess master, and psychologist. His research interests in mathematics included topology and functional analysis. He was an author of the Katětov–Tong insertion theorem. From 1953 to 1957 he was rector of Charles Universi... |
https://en.wikipedia.org/wiki/Sm%C3%A5land%2C%20Inder%C3%B8y | Breivika or Breidvik (Statistics Norway calls it Småland) is a village in the municipality of Inderøy in Trøndelag county, Norway. It is located along the Trondheimsfjord in the northern part of the Inderøya peninsula, about northwest of the village of Gangstadhaugen.
The village has a population (2018) of 295 and ... |
https://en.wikipedia.org/wiki/Forbregd/Lein | Forbregd and Lein are two small adjoining villages in the municipality of Verdal in Trøndelag county, Norway. Statistics Norway classifies the urban area as Forbregd/Lein. The village area is located about northeast of the town of Verdalsøra and about northwest of Stiklestad, along the southern shore of the lake Lek... |
https://en.wikipedia.org/wiki/Sylvan%20Learning | Sylvan Learning, Inc. (formerly Sylvan Learning Corporation) consists of franchised and corporate supplemental learning centers which provide personalized instruction in reading, writing, mathematics, study skills, homework support, and test preparation for college entrance and state exams. Some centers also offer STEM... |
https://en.wikipedia.org/wiki/Vanishing%20cycle | In mathematics, vanishing cycles are studied in singularity theory and other parts of algebraic geometry. They are those homology cycles of a smooth fiber in a family which vanish in the singular fiber.
For example, in a map from a connected complex surface to the complex projective line, a generic fiber is a smooth R... |
https://en.wikipedia.org/wiki/Steinberg%20representation | In mathematics, the Steinberg representation, or Steinberg module or Steinberg character, denoted by St, is a particular linear representation of a reductive algebraic group over a finite field or local field, or a group with a BN-pair. It is analogous to the 1-dimensional sign representation ε of a Coxeter or Weyl gr... |
https://en.wikipedia.org/wiki/James%20Robert%20Brown | James Robert Brown (born 1949) is a Canadian philosopher of science. He is an emeritus professor of philosophy at the University of Toronto. In the philosophy of mathematics, he has advocated mathematical Platonism, visual reasoning, and in the philosophy of science he has defended scientific realism mostly against an... |
https://en.wikipedia.org/wiki/Miles%20Reid | Miles Anthony Reid FRS (born 30 January 1948) is a mathematician who works in algebraic geometry.
Education
Reid studied the Cambridge Mathematical Tripos at Trinity College, Cambridge and obtained his Ph.D. in 1973 under the supervision of Peter Swinnerton-Dyer and Pierre Deligne.
Career
Reid was a research fellow o... |
https://en.wikipedia.org/wiki/Yuktibh%C4%81%E1%B9%A3%C4%81 | Yuktibhāṣā (), also known as Gaṇita-yukti-bhāṣā and (English: Compendium of Astronomical Rationale), is a major treatise on mathematics and astronomy, written by the Indian astronomer Jyesthadeva of the Kerala school of mathematics around 1530. The treatise, written in Malayalam, is a consolidation of the discoveries ... |
https://en.wikipedia.org/wiki/Natural%20filtration | In the theory of stochastic processes in mathematics and statistics, the generated filtration or natural filtration associated to a stochastic process is a filtration associated to the process which records its "past behaviour" at each time. It is in a sense the simplest filtration available for studying the given pro... |
https://en.wikipedia.org/wiki/John%20Nelder | John Ashworth Nelder (8 October 1924 – 7 August 2010) was a British statistician known for his contributions to experimental design, analysis of variance, computational statistics, and statistical theory.
Contributions
Nelder's work was influential in statistics. While leading research at Rothamsted Experimental Stat... |
https://en.wikipedia.org/wiki/Cyril%20Offord | Albert Cyril Offord FRS FRSE (9 June 1906 – 4 June 2000) was a British mathematician. He was the first professor of mathematics at the London School of Economics.
Life
He was born in London on 9 June 1906 the eldest child of Albert Edwin Offord, a master printer, and his wife Hester Louise, a former opera singer. The... |
https://en.wikipedia.org/wiki/Constance%20Reid | Constance Bowman Reid (January 3, 1918 – October 14, 2010)
was the author of several biographies of mathematicians and popular books about mathematics. She received several awards for mathematical exposition. She was not a mathematician but came from a mathematical family—one of her sisters was Julia Robinson, and her ... |
https://en.wikipedia.org/wiki/Schottky%20group | In mathematics, a Schottky group is a special sort of Kleinian group, first studied by .
Definition
Fix some point p on the Riemann sphere. Each Jordan curve not passing through p divides the Riemann sphere into two pieces, and we call the piece containing p the "exterior" of the curve, and the other piece its "int... |
https://en.wikipedia.org/wiki/Win%20probability%20added | Win probability added (WPA) is a sport statistic which attempts to measure a player's contribution to a win by figuring the factor by which each specific play made by that player has altered the outcome of a game. It is used for baseball and American football.
Explanation
Some form of win probability has been around f... |
https://en.wikipedia.org/wiki/1924%20Kohat%20riots | The 1924 Kohat riots happened in the Kohat town of the North-West Frontier Province, British India in 1924. In three days (9–11 September) of rioting, official statistics peg the number of casualties among Hindus and Sikhs at more than thrice that of Muslims; almost the entire Hindu population had to be evacuated to Ra... |
https://en.wikipedia.org/wiki/Schwartz%E2%80%93Bruhat%20function | In mathematics, a Schwartz–Bruhat function, named after Laurent Schwartz and François Bruhat, is a complex valued function on a locally compact abelian group, such as the adeles, that generalizes a Schwartz function on a real vector space. A tempered distribution is defined as a continuous linear functional on the spac... |
https://en.wikipedia.org/wiki/Sergio%20Gadea | Sergio Gadea Panisello (born 30 December 1984 in Puçol, Valencian Community) is a Spanish motorcycle road racer. He started to run professionally in 2003.
Career statistics
Grand Prix motorcycle racing
By season
By year
(Races in bold indicate pole position, races in italics indicate fastest lap of the race)
Super... |
https://en.wikipedia.org/wiki/Henry%20Thomas%20Herbert%20Piaggio | Henry Thomas Herbert Piaggio (2 June 1884–26 June 1967) was an English mathematician. Educated at the City of London School and St John's College, Cambridge, he was appointed lecturer in mathematics at the University of Nottingham in 1908 and then the first Professor of Mathematics in 1919. He was the author of "An Ele... |
https://en.wikipedia.org/wiki/Uwe%20Storch | Uwe Storch (born 12 July 1940, Leopoldshall– Lanzarote, 17 September 2017) was a German mathematician. His field of research was
commutative algebra and analytic and algebraic geometry, in particular derivations, divisor class group, resultants.
Storch studied mathematics, physics and mathematical logic in
Münster and... |
https://en.wikipedia.org/wiki/Ramanujan%27s%20sum | In number theory, Ramanujan's sum, usually denoted cq(n), is a function of two positive integer variables q and n defined by the formula
where (a, q) = 1 means that a only takes on values coprime to q.
Srinivasa Ramanujan mentioned the sums in a 1918 paper. In addition to the expansions discussed in this article, ... |
https://en.wikipedia.org/wiki/Robert%20Alexander%20Rankin | Robert Alexander Rankin FRSE FRSAMD (27 October 1915 – 27 January 2001) was a Scottish mathematician who worked in analytic number theory.
Life
Rankin was born in Garlieston in Wigtownshire the son of Rev Oliver Rankin (1885–1954), minister of Sorbie and his wife, Olivia Theresa Shaw. His father took the name Oliver S... |
https://en.wikipedia.org/wiki/Row%20equivalence | In linear algebra, two matrices are row equivalent if one can be changed to the other by a sequence of elementary row operations. Alternatively, two m × n matrices are row equivalent if and only if they have the same row space. The concept is most commonly applied to matrices that represent systems of linear equation... |
https://en.wikipedia.org/wiki/Elementary%20matrix | In mathematics, an elementary matrix is a matrix which differs from the identity matrix by one single elementary row operation. The elementary matrices generate the general linear group when is a field. Left multiplication (pre-multiplication) by an elementary matrix represents elementary row operations, while right ... |
https://en.wikipedia.org/wiki/Elasticity%20of%20a%20function | In mathematics, the elasticity or point elasticity of a positive differentiable function f of a positive variable (positive input, positive output) at point a is defined as
or equivalently
It is thus the ratio of the relative (percentage) change in the function's output with respect to the relative change in its inp... |
https://en.wikipedia.org/wiki/SMP%20%28computer%20algebra%20system%29 | Symbolic Manipulation Program, usually called SMP, was a computer algebra system designed by Chris A. Cole and Stephen Wolfram at Caltech circa 1979. It was initially developed in the Caltech physics department with contributions from Geoffrey C. Fox, Jeffrey M. Greif, Eric D. Mjolsness, Larry J. Romans, Timothy Shaw, ... |
https://en.wikipedia.org/wiki/SIGSAM | SIGSAM is the ACM Special Interest Group on Symbolic and Algebraic Manipulation. It publishes the ACM Communications in Computer Algebra and often sponsors the International Symposium on Symbolic and Algebraic Computation (ISSAC).
External links
ACM Official SIGSAM web site
ISSAC 2009, Seoul, Korea
ISSAC 2008, ("R... |
https://en.wikipedia.org/wiki/Wrack | Wrack may refer to:
wrack (mathematics), a concept in knot theory
wrack (seaweed), several species of seaweed
Wrack, a novel by James Bradley (Australian writer)
Charlie Wrack (1899–1979), English footballer
Darren Wrack (born 1976), English footballer
Matt Wrack (born 1962), British firefighter and trade unioni... |
https://en.wikipedia.org/wiki/Weil%27s%20criterion | In mathematics, Weil's criterion is a criterion of André Weil for the Generalized Riemann hypothesis to be true. It takes the form of an equivalent statement, to the effect that a certain generalized function is positive definite.
Weil's idea was formulated first in a 1952 paper. It is based on the explicit formulae o... |
https://en.wikipedia.org/wiki/NNO | NNO may stand for:
Nuveen North Carolina Dividend Advantage Municipal Fund 2 (stock symbol: NNO)
Natural number object, in category theory, a subfield of mathematics
National Night Out, a crime prevention activity in the United States
Nynorsk, ISO 639-2 and ISO 639-3 language codes
Nitrous oxide |
https://en.wikipedia.org/wiki/BICOM | BICOM may refer to:
Britain Israel Communications and Research Centre
Brunel Institute of Computational Mathematics
Bioresonance therapy, pseudoscientific medical practice |
https://en.wikipedia.org/wiki/Digital%20topology | Digital topology deals with properties and features of two-dimensional (2D) or three-dimensional (3D) digital images
that correspond to topological properties (e.g., connectedness) or topological features (e.g., boundaries) of objects.
Concepts and results of digital topology are used to specify and justify important ... |
https://en.wikipedia.org/wiki/Grid%20cell%20topology | The grid cell topology is studied in digital topology as part of the theoretical basis for (low-level) algorithms in computer image analysis or computer graphics.
The elements of the n-dimensional grid cell topology (n ≥ 1) are all n-dimensional grid cubes and their k-dimensional faces ( for 0 ≤ k ≤ n−1); between the... |
https://en.wikipedia.org/wiki/Poset%20topology | In mathematics, the poset topology associated to a poset (S, ≤) is the Alexandrov topology (open sets are upper sets) on the poset of finite chains of (S, ≤), ordered by inclusion.
Let V be a set of vertices. An abstract simplicial complex Δ is a set of finite sets of vertices, known as faces , such that
Given a sim... |
https://en.wikipedia.org/wiki/3/4 | 3/4 or ¾ may refer to:
The fraction (mathematics) three quarters () equal to 0.75
Arts and media
3/4 (film), a 2017 Bulgarian film
time, a form of triple metre in music
3/4 profile, in portraits
3/4 perspective, in video games
Other uses
″ videocassette, better known as the U-matic format
March 4 (month-day ... |
https://en.wikipedia.org/wiki/Lindley%27s%20paradox | Lindley's paradox is a counterintuitive situation in statistics in which the Bayesian and frequentist approaches to a hypothesis testing problem give different results for certain choices of the prior distribution. The problem of the disagreement between the two approaches was discussed in Harold Jeffreys' 1939 textbo... |
https://en.wikipedia.org/wiki/Pentachord | A pentachord in music theory may be either of two things. In pitch-class set theory, a pentachord is defined as any five pitch classes, regarded as an unordered collection . In other contexts, a pentachord may be any consecutive five-note section of a diatonic scale . A pentad is a five-note chord .
Under the latter d... |
https://en.wikipedia.org/wiki/Jean-Claude%20Dunyach | Jean-Claude Dunyach (born 1957) is a French science fiction writer.
Overview
Dunyach has a Ph.D. in applied mathematics and supercomputing from Paul Sabatier University. He works for Airbus in Toulouse in southwestern France.
Dunyach has been writing science fiction since the beginning of the 1980s and has already p... |
https://en.wikipedia.org/wiki/Sextic%20equation | In algebra, a sextic (or hexic) polynomial is a polynomial of degree six.
A sextic equation is a polynomial equation of degree six—that is, an equation whose left hand side is a sextic polynomial and whose right hand side is zero. More precisely, it has the form:
where and the coefficients may be integers, rational... |
https://en.wikipedia.org/wiki/Harmonic%20%28disambiguation%29 | Harmonic usually refers to the frequency components of a time-varying signal, such as a musical note.
Mathematics, science and engineering
Harmonic (mathematics), a number of concepts in mathematics
Harmonic analysis, representing signals by superposition of basic waves
Harmonic oscillator, a concept in classical ... |
https://en.wikipedia.org/wiki/Mathematical%20operators%20and%20symbols%20in%20Unicode | The Unicode Standard encodes almost all standard characters used in mathematics.
Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation.
Mathematical operators and symbols are in multiple Unicode blocks. Some of these blocks a... |
https://en.wikipedia.org/wiki/Hilbert%20symbol | In mathematics, the Hilbert symbol or norm-residue symbol is a function (–, –) from K× × K× to the group of nth roots of unity in a local field K such as the fields of reals or p-adic numbers. It is related to reciprocity laws, and can be defined in terms of the Artin symbol of local class field theory. The Hilbert sym... |
https://en.wikipedia.org/wiki/Riesel | Riesel may refer to:
People
Hans Riesel (1929–2014), Swedish mathematician who discovered a Mersenne prime
Victor Riesel (1913–1995), American labor union journalist
In Mathematics
Riesel number, an odd natural number k for which the integers of the form k·2n−1 are all composite
Riesel Sieve, a project to prove t... |
https://en.wikipedia.org/wiki/Degree%20of%20a%20polynomial | In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer. For a univariate polynomial, the degree of the po... |
https://en.wikipedia.org/wiki/Category%20of%20relations | In mathematics, the category Rel has the class of sets as objects and binary relations as morphisms.
A morphism (or arrow) R : A → B in this category is a relation between the sets A and B, so .
The composition of two relations R: A → B and S: B → C is given by
(a, c) ∈ S o R ⇔ for some b ∈ B, (a, b) ∈ R and (b, c) ∈... |
https://en.wikipedia.org/wiki/AICC | AICC may refer to:
AICc, a version of Akaike information criterion (AIC, which is used in statistics), that has a correction for small sample sizes
All India Congress Committee, the central presidium of the Congress Party
All India Christian Council, an alliance of Christian denominations, mission agencies, institu... |
https://en.wikipedia.org/wiki/James%20Harkins | James Harkins (born 1905) was a Scottish professional footballer who played as an inside forward.
Career statistics
Source:
References
1905 births
People from Paisley, Renfrewshire
Scottish men's footballers
Men's association football inside forwards
Dalbeattie Star F.C. players
Petershill F.C. players
Third Lanark ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.