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W.N. Bailey
Wilfrid Norman Bailey (born 5 September 1893 Consett Consett is a town in County Durham, England, about south-west of Newcastle upon Tyne. It had a population of 27,394 in 2001 and an estimate of 25,812 in 2019. History Consett sits high on the edge of the Pennines. Its' name originates in the ..., Durham; died 23 October 1961, Eastbourne) was a mathematician who introduced Bailey's lemma and Bailey pairs into the theory of basic hypergeometric series. Bailey chains and Bailey transforms are named after him. References * External links * {{DEFAULTSORT:Bailey, Wilfrid 20th-century British mathematicians 1893 births 1961 deaths ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
County Durham
County Durham ( ), officially simply Durham,UK General Acts 1997 c. 23Lieutenancies Act 1997 Schedule 1(3). From legislation.gov.uk, retrieved 6 April 2022. is a ceremonial county in North East England.North East Assembly â€About North East England. Retrieved 30 November 2007. The ceremonial county spawned from the historic County Palatine of Durham in 1853. In 1996, the county gained part of the abolished ceremonial county of Cleveland.Lieutenancies Act 1997 . Retrieved 27 October 2014. The county town is the of |
Victoria University Of Manchester
The Victoria University of Manchester, usually referred to as simply the University of Manchester, was a university in Manchester, England. It was founded in 1851 as Owens College. In 1880, the college joined the federal Victoria University. After the demerger of the Victoria University, it gained an independent university charter in 1904 as the Victoria University of Manchester. On 1 October 2004, the Victoria University of Manchester merged with the University of Manchester Institute of Science and Technology (UMIST) to form a new, larger entity named the University of Manchester. History 1851–1951 Owens College was founded in 1851, named after John Owens, a textile merchant, who left a bequest of £96,942 for the purpose. Its first accommodation was at Cobden House on Quay Street, Manchester, in a house which had been the residence of Richard Cobden. In 1859, Owens College was approved as a provincial examination centre for matriculation candidates of the University of L ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London University
The University of London (UoL; abbreviated as Lond or more rarely Londin in post-nominals) is a federal public research university located in London, England, United Kingdom. The university was established by royal charter in 1836 as a degree-awarding examination board for students holding certificates from University College London and King's College London and "other such other Institutions, corporate or unincorporated, as shall be established for the purpose of Education, whether within the Metropolis or elsewhere within our United Kingdom". This fact allows it to be one of three institutions to claim the title of the third-oldest university in England, and moved to a federal structure in 1900. It is now incorporated by its fourth (1863) royal charter and governed by the University of London Act 2018. It was the first university in the United Kingdom to introduce examinations for women in 1869 and, a decade later, the first to admit women to degrees. In 1913, it appointed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Cambridge
, mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Scholars of the University of Cambridge , type = Public research university , endowment = £7.121 billion (including colleges) , budget = £2.308 billion (excluding colleges) , chancellor = The Lord Sainsbury of Turville , vice_chancellor = Anthony Freeling , students = 24,450 (2020) , undergrad = 12,850 (2020) , postgrad = 11,600 (2020) , city = Cambridge , country = England , campus_type = , sporting_affiliations = The Sporting Blue , colours = Cambridge Blue , website = , logo = University of Cambridge logo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lucy Joan Slater
Lucy Joan Slater (5 January 1922 – 6 June 2008) was a mathematician who worked on hypergeometric functions, and who found many generalizations of the Rogers–Ramanujan identities. Early life Slater was born in 1922 and homeschooled for much of her early education. Her father passed away when she was nine years old. Slater was interested in jazz music and played the piano as an accompanist in her early years. She attended college at Bedford College and received her first B.A. from London University in 1944. During the war, she worked teaching soldiers trigonometry. Career Her advisor was Wilfrid Norman Bailey. She received an M.A. and Ph.D. from London University while studying hypergeometric equations, including her publication of a list of over 100 Rogers-Ramanujan Identities. Later, she received a D.Litt. from London University as well. In the early 1950s she played a leading role at Cambridge University in devising a precursor of modern computer operating systems, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Consett
Consett is a town in County Durham, England, about south-west of Newcastle upon Tyne. It had a population of 27,394 in 2001 and an estimate of 25,812 in 2019. History Consett sits high on the edge of the Pennines. Its' name originates in the Old English ''Cunecsheafod'' ("Cunec's headland"), first recorded in the 13th century. In 1841, it was a village community of only 145, but it was about to become a boom town: below the ground were coking coal and blackband iron ore, and nearby was limestone. These three ingredients were needed for blast furnaces to produce iron and steel. The town is perched on the steep eastern bank of the River Derwent and owes its origins to industrial development arising from lead mining in the area, together with the development of the steel industry in the Derwent Valley, which is said to have been initiated by immigrant German cutlers and sword-makers from Solingen, who settled in the village of Shotley Bridge during the 17th century. During the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eastbourne
Eastbourne () is a town and seaside resort in East Sussex, on the south coast of England, east of Brighton and south of London. Eastbourne is immediately east of Beachy Head, the highest chalk sea cliff in Great Britain and part of the larger Eastbourne Downland Estate. The seafront consists largely of Victorian hotels, a pier, theatre, contemporary art gallery and a Napoleonic era fort and military museum. Though Eastbourne is a relatively new town, there is evidence of human occupation in the area from the Stone Age. The town grew as a fashionable tourist resort largely thanks to prominent landowner, William Cavendish, later to become the Duke of Devonshire. Cavendish appointed architect Henry Currey to design a street plan for the town, but not before sending him to Europe to draw inspiration. The resulting mix of architecture is typically Victorian and remains a key feature of Eastbourne. As a seaside resort, Eastbourne derives a large and increasing income from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bailey's Lemma
In mathematics, a Bailey pair is a pair of sequences satisfying certain relations, and a Bailey chain is a sequence of Bailey pairs. Bailey pairs were introduced by while studying the second proof Rogers 1917 of the Rogers–Ramanujan identities, and Bailey chains were introduced by . Definition The q-Pochhammer symbol In mathematical area of combinatorics, the ''q''-Pochhammer symbol, also called the ''q''-shifted factorial, is the product (a;q)_n = \prod_^ (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^), with (a;q)_0 = 1. It is a ''q''-analog of the Pochhammer symb ...s (a;q)_n are defined as: :(a;q)_n = \prod_(1-aq^j) = (1-a)(1-aq)\cdots(1-aq^). A pair of sequences (α''n'',β''n'') is called a Bailey pair if they are related by :\beta_n=\sum_^n\frac or equivalently :\alpha_n = (1-aq^)\sum_^n\frac. Bailey's lemma Bailey's lemma states that if (α''n'',β''n'') is a Bailey pair, then so is (α'''n'',β'''n'') where :\alpha^\prime_n= \frac :\beta^\prime_n = \sum_\frac. In othe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bailey Pair
In mathematics, a Bailey pair is a pair of sequences satisfying certain relations, and a Bailey chain is a sequence of Bailey pairs. Bailey pairs were introduced by while studying the second proof Rogers 1917 of the Rogers–Ramanujan identities, and Bailey chains were introduced by . Definition The q-Pochhammer symbol In mathematical area of combinatorics, the ''q''-Pochhammer symbol, also called the ''q''-shifted factorial, is the product (a;q)_n = \prod_^ (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^), with (a;q)_0 = 1. It is a ''q''-analog of the Pochhammer symb ...s (a;q)_n are defined as: :(a;q)_n = \prod_(1-aq^j) = (1-a)(1-aq)\cdots(1-aq^). A pair of sequences (α''n'',β''n'') is called a Bailey pair if they are related by :\beta_n=\sum_^n\frac or equivalently :\alpha_n = (1-aq^)\sum_^n\frac. Bailey's lemma Bailey's lemma states that if (α''n'',β''n'') is a Bailey pair, then so is (α'''n'',β'''n'') where :\alpha^\prime_n= \frac :\beta^\prime_n = \sum_\frac. In othe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Basic Hypergeometric Series
In mathematics, basic hypergeometric series, or ''q''-hypergeometric series, are ''q''-analogue generalizations of generalized hypergeometric series, and are in turn generalized by elliptic hypergeometric series. A series ''x''''n'' is called hypergeometric if the ratio of successive terms ''x''''n''+1/''x''''n'' is a rational function of ''n''. If the ratio of successive terms is a rational function of ''q''''n'', then the series is called a basic hypergeometric series. The number ''q'' is called the base. The basic hypergeometric series _2\phi_1(q^,q^;q^;q,x) was first considered by . It becomes the hypergeometric series F(\alpha,\beta;\gamma;x) in the limit when base q =1. Definition There are two forms of basic hypergeometric series, the unilateral basic hypergeometric series φ, and the more general bilateral basic hypergeometric series ψ. The unilateral basic hypergeometric series is defined as :\;_\phi_k \left begin a_1 & a_2 & \ldots & a_ \\ b_1 & b_2 & \ldots & ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bailey Chain
In mathematics, a Bailey pair is a pair of sequences satisfying certain relations, and a Bailey chain is a sequence of Bailey pairs. Bailey pairs were introduced by while studying the second proof Rogers 1917 of the Rogers–Ramanujan identities, and Bailey chains were introduced by . Definition The q-Pochhammer symbol In mathematical area of combinatorics, the ''q''-Pochhammer symbol, also called the ''q''-shifted factorial, is the product (a;q)_n = \prod_^ (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^), with (a;q)_0 = 1. It is a ''q''-analog of the Pochhammer symb ...s (a;q)_n are defined as: :(a;q)_n = \prod_(1-aq^j) = (1-a)(1-aq)\cdots(1-aq^). A pair of sequences (α''n'',β''n'') is called a Bailey pair if they are related by :\beta_n=\sum_^n\frac or equivalently :\alpha_n = (1-aq^)\sum_^n\frac. Bailey's lemma Bailey's lemma states that if (α''n'',β''n'') is a Bailey pair, then so is (α'''n'',β'''n'') where :\alpha^\prime_n= \frac :\beta^\prime_n = \sum_\frac. In othe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
