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Birch and Swinnerton Dyer conjecture
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Encyclopedia results for Birch and Swinnerton Dyer conjecture

Birch and Swinnerton Dyer conjecture





Encyclopedia results for Birch and Swinnerton Dyer conjecture

  1. Birch and Swinnerton-Dyer conjecture

    Millennium Problems In mathematics , the Birch and Swinnerton Dyer conjecture is an open problem in the field .... ref http www.claymath.org millennium Birch and Swinnerton Dyer Conjecture Birch and Swinnerton Dyer ... The Birch and Swinnerton Dyer conjecture has been proved only in special cases harvtxt Coates Wiles ... part of the Tate Shafarevich group had the order predicted by the Birch and Swinnerton Dyer conjecture ... last Arthaud first Nicole authorlink Nicole Arthaud Kuhman title On Birch and Swinnerton Dyer s conjecture ... first2 A. title On the conjecture of Birch and Swinnerton Dyer journal Inventiones Mathematicae volume ... 821 83679 8 chapterurl http www.claymath.org millennium Birch and Swinnerton Dyer Conjecture birchswin.pdf ... Dyer Conjecture planetmath reference id 4561 title Birch and Swinnerton Dyer Conjecture http sums.mcgill.ca delta epsilon mag 0610 mmm061024.pdf The Birch and Swinnerton Dyer Conjecture Dead link date ... Birch And Swinnerton Dyer Conjecture Category Number theory Category Zeta and L functions Category ... results harvtxt Birch Swinnerton Dyer 1965 conjectured that N sub p sub for a curve E with rank r obeys ... analytic rank zero, and hence, by harvtxt Kolyvagin 1989 , satisfy the Birch and Swinnerton Dyer ... numerical evidence for the truth of the conjecture. citation needed date March 2011 Consequences If the Birch and Swinnerton Dyer conjecture was proved, Tunnell s theorem would give a full resolution ... John Birch last2 Swinnerton Dyer first2 Peter authorlink2 Peter Swinnerton Dyer year 1965 title Notes ... of Cambridge Computer Laboratory de Vermutung von Birch und Swinnerton Dyer es Conjetura de Birch y Swinnerton Dyer fr Conjecture de Birch et Swinnerton Dyer ko it Congettura di Birch e Swinnerton Dyer he nl Vermoeden van Birch en Swinnerton Dyer ja pt Conjectura de Birch e Swinnerton Dyer ru fi Birchin ... intensive. History In the early 1960s Peter Swinnerton Dyer used the EDSAC computer at the University ...   more details



  1. Peter Swinnerton-Dyer

    for Birch and Swinnerton Dyer conjecture awards P lya Prize LMS P lya Prize br Sylvester Medal Sir Henry Peter Francis Swinnerton Dyer, 16th Baronet Order of the British Empire KBE Royal Society FRS b. 2 August 1927 , commonly known as Peter Swinnerton Dyer , is an English people English mathematician ... part in the Birch and Swinnerton Dyer conjecture relating algebraic properties of elliptic curves ... urlname Swinnerton DyerConjecture title Birch Swinnerton Dyer Conjecture MathWorld urlname Swinnerton DyerPolynomial title Swinnerton Dyer Polynomial http www.alanmacfarlane.com ancestors swinnerton dyer.htm Peter Swinnerton Dyer interviewed by Alan Macfarlane 12th May 2008 film start box s reg ...Infobox scientist name Peter Swinnerton Dyer image Peter Swinnerton Dyer.jpeg image size caption Peter Swinnerton Dyer at the workshop br Explicit methods in number theory in Mathematical Research Institute ... Peter Swinnerton Dyer interviewed by Alan Macfarlane date 2008 05 12 accessdate 2009 07 31 ref ... system. Biography Swinnerton Dyer is the son of Sir Leonard Schroeder Swinnerton Dyer, 15th Baronet ... Empire KBE in 1987. In 2006 he was awarded the Sylvester Medal . Swinnerton Dyer was, in his younger ... 20526 3 . citation title A brief guide to algebraic number theory first Peter last Swinnerton Dyer ...?isbn 0521004233 isbn 0 521 00423 3 . Miscellanea Swinnerton Dyer has a Morphy Number of 3. ref name ... and Algebraic Geometry to Peter Swinnerton Dyer on his 75th birthday, edited by Miles Reid and Alexei ... Schroeder Swinnerton Dyer after Incumbent s aca s bef before Edwin Ernest Rich s ttl title List of Masters ... end Persondata Metadata see Wikipedia Persondata . NAME Swinnerton Dyer, Peter ALTERNATIVE NAMES SHORT ... OF DEATH Use dmy dates date October 2010 DEFAULTSORT Swinnerton Dyer, Peter Category 1927 births ... Baronets in the Baronetage of England Dyer, Henry Peter Francis Swinnerton Dyer, 16th Baronet Category ... Statistics Category Vice Chancellors of the University of Cambridge de Peter Swinnerton Dyer fr Peter ...   more details



  1. Swinnerton

    Swinnerton may refer to Alastair Swinnerton , a UK writer producer known mostly for his involvement with Lego Bionicle Bernadette Swinnerton , an English racing cyclist Cath Swinnerton born 1958 , an English racing cyclist Charles Octavius Swinnerton Morgan DL, JP, FRS, FSA 1803&ndash 1888 , a British politician, historian and antiquary Frank Arthur Swinnerton 1884&ndash 1982 , an English novelist, critic, biographer and essayist George Swinnerton Parker 1866&ndash 1952 , an American board game inventor and industrialist Henry Hurd Swinnerton 1875&ndash 1966 , a British geologist Jane Swinnerton born 1954 , a former British field hockey player Jimmy Swinnerton 1875&ndash 1974 , an American desert landscape painter and cartoonist Mark Swinnerton , a member of the English band Mansun Matthew Swinnerton , the guitarist of the British rock band The Rakes Peter Swinnerton Dyer KBE FRS born 1927 , an English mathematician See also Birch and Swinnerton Dyer conjecture relates the rank of the abelian group of points over a number field of an elliptic curve E to the order of the zero of the associated L function L E, s at s 1 Milborne Swinnerton Pilkington Baronets , a title in the Baronetage of Nova Scotia surname de Swinnerton ...   more details



  1. Birch?Tate conjecture

    Expert subject Mathematics date November 2008 The Birch Tate conjecture is based on algebraic K theory proposed by both Bryan John Birch and John Tate . It relates the value of a Dedekind zeta function at s &minus 1 to the order of K sub 2 sub of the ring of integers , for a number field F . Progress on this conjecture has been made as a consequence of work on Iwasawa theory , and in particular of the proofs given for the so called main conjecture of Iwasawa theory. The problem remains unsolved as of 2011. References J. T. Tate, Symbols in Arithmetic , Actes, Congr s Intern. Math., Nice, 1970, Tome 1, Gauthier Villars 1971 , 201 211 External links SpringerEOM title Birch Tate conjecture id Birch E2 80 93Tate conjecture oldid 11217 first J. last Hurrelbrink Category Conjectures Category K theory numtheory stub ...   more details



  1. Cath Swinnerton

    Infobox cyclist name Catherine Swinnerton image fullname Catherine Swinnerton nickname birth date Birth date and age 1958 5 12 df yes birth place Fenton, Staffordshire , England, United Kingdom height weight currentteam discipline Road role Rider ridertype amateuryears amateurteams proyears proteams majorwins medaltemplates updated 12 September 2008 Catherine Swinnerton born 12 May 1958 ref cite web url http www.olympics.org.uk athleterecord.aspx?at 3510 title Catherine Swinnerton Olympic Record publisher British Olympic Association accessdate 2008 09 12 ref was an England English racing cyclist . Born in Fenton, Staffordshire as one of seven children, Swinnerton is part of a cycling family, and founders of Swinnerton Cycles in Fenton. Her twin brother, Paul Swinnerton Paul was also a racing cyclist. She competed in the Cycling at the 1984 Summer Olympics Women s individual road race road race at the 1984 Summer Olympics in Los Angeles , where she finished 13th. Palmar s palmares start 1975 3rd British National Road Race Championships 1977 1st flagicon GBR British National Road Race Championships 1979 2nd British National Road Race Championships 1981 3rd British National Road Race Championships 1982 2nd British National Road Race Championships 1984 1st flagicon GBR British National Road Race Championships 1985 2nd Stage 18, Grande Boucle palmares end References Reflist External links cycling archives 35565 Metadata see Wikipedia Persondata Persondata NAME Swinnerton, Catherine ALTERNATIVE NAMES SHORT DESCRIPTION Road racing cyclist DATE OF BIRTH 1958 05 12 PLACE OF BIRTH Cheadle, Staffordshire , England, United Kingdom DATE OF DEATH PLACE OF DEATH DEFAULTSORT Swinnerton, Cath Category 1958 births Category Living people Category English cyclists Category Female cyclists Category Olympic cyclists of Great Britain Category Cyclists at the 1984 Summer Olympics Category British ... cy Cath Swinnerton ...   more details



  1. Bernadette Swinnerton

    Infobox cyclist name Bernadette Swinnerton image fullname Bernadette Swinnerton nickname birth date birth place ENG br GBR height weight currentteam discipline Road role Rider ridertype amateuryears amateurteams proyears proteams majorwins updated 12 September 2008 medaltemplates MedalCountry GBR2 MedalSport Women s Cycling MedalCompetition UCI Road World Championships MedalSilver 1969 UCI Road World Championships 1969 Road race Bernadette Swinnerton was an England English racing cyclist . She came second in the 1969 UCI Road World Championships world road championship in Czechoslovakia, 1m 10s behind Audrey McElmury . ref http kensbike.blogspot.com 2011 01 audrey mcelmury first american to win.html ref Bernardette Swinnerton was born in Stoke on Trent, Staffordshire , the eldest of seven children. Her parents, Roy and Doris Swinnerton, ran a cycle shop in Stoke on Trent . ref http www.swinnertoncycles.co.uk Shop History.aspx ref Bernardette Swinnerton has recently retired after 40 years of teaching, spending the last 17 years of her career as a headteacher in Blythe Bridge, Stoke on Trent. She has 3 grown children, Jennifer, Kevin & Danielle and 4 grandchildren. Palmar s palmares start 1969 2nd Road race, UCI Road World Championships References Reflist External links cycling archives 28398 Metadata see Wikipedia Persondata Persondata NAME Swinnerton, Bernadette ALTERNATIVE NAMES SHORT DESCRIPTION Road racing cyclist DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Swinnerton, Bernadette Category Year of birth missing living people Category Living people Category English cyclists Category Female cyclists Category People from Cheadle, Staffordshire England cycling bio stub ...   more details



  1. Jimmy Swinnerton

    File Mrjack04.jpg right thumb 500px James Guilford Swinnerton November 13, 1875 September 8, 1974 was an United ... swinnert.htm Markstein, Don. Toonopedia Jimmy Swinnerton ref Cartoons Born in Eureka, California , the son of Judge J. W. Swinnerton, he was 14 when he entered the San Francisco Art Institute ... name bio George Stern Fine Art. http www.sternfinearts.com jswinnerton.html James Guilford Swinnerton ... of comic strip, but Swinnerton was certainly drawing multi panel stories with speech balloons by 1900. Tigers and bears, oh my File Litjimmy2.jpg right thumb 550px Jimmy Swinnerton s Little ... in the editorial pages. Meanwhile, Swinnerton continued to fill his Sunday space with a new character ... Little Jimmy , until 1958 with a hiatus from 1941 to 1945 . A peculiarity of Swinnerton s comic strips ... 1906, a doctor told Swinnerton that he was suffering from tuberculosis and had two weeks to live. Determined to defeat the prognosis, Swinnerton was put on a train to Colton, California, by William Randolph Hearst, who considered Swinnerton one of his favorite employees. Swinnerton recovered, and stayed ... to influence Swinnerton s artistic output. From 1922 to 1941, he produced a series of picture stories ... of several lush color illustrations with captions in verse. Swinnerton joined the Bohemian Club , rose ... and curator Alissa J. Anderson described Swinnerton s work as a painter after he moved to the Southwest ... the primary subject matter of his painting. Swinnerton s early paintings were highly realist, detailed ..., a place where the parched land coexisted with thriving beauty. Many of Swinnerton s later ... Swinnerton 1875 1974 American . ref He painted desert scenes as a fine artist from about 1920 ... Swinnerton Arch in his honor. ref http www.naturalarches.org gallery StanJones Swinnerton.htm Swinnerton Arch The Natural Arch and Bridge Society ref Jimmy Swinnerton died in Palm Springs, California Palm Springs at the age of 98. ref name bio Swinnerton canvases are still in demand. See also Carl ...   more details



  1. Jane Swinnerton

    Jane Swinnerton born May 7, 1954 is a former British field hockey player who won 100 caps for England between 1977 to 1987. Swinnerton tied for the most goals scored in the 1991 92 season. ref http www.englandhockey.co.uk page.asp?section 358§ionTitle Top Goalscorer of the Year Awards ref In 2010, Swinnerton was invited to take part in a Legends match prior to the national hockey championship. ref http www.welsh hockey.co.uk news Welsh Internationals join the Wembley Legends in Nottingham Jul10.html ref She still plays hockey for Cannock Hockey Club Cannock but has been the manager for the England women s field hockey team . She now works at Cannock Chase High School where she is a PE teacher. citation needed date January 2010 References references Persondata Metadata see Wikipedia Persondata . NAME Swinnerton, Jane ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH May 7, 1954 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Swinnerton, Jane Category 1954 births Category Living people UK fieldhockey bio stub ...   more details



  1. Swinnerton Ledge

    Orphan date December 2010 Swinnerton Ledge coor dm 80 43 S 22 28 W is a flat topped ridge rising to about 1,500  m and marking the east end of the Read Mountains , Shackleton Range . Photographed from the air by the U.S. Navy , 1967. Surveyed by the British Antarctic Survey BAS , 1968 71. In association with the names of geologists grouped in this area, named by the United Kingdom Antarctic Place Names Committee UK APC after Henry H. Swinnerton 1876 1966 , British zoologist and paleontologist, Professor of Geology, University college of Nottingham later Nottingham University , 1912 46 President, Geological Society , 1938 40. usgs gazetteer Category Ridges of Coats Land CoatsLand geo stub ...   more details



  1. Dyer

    Dyer may refer to a person who is involved in dyeing . Dyer may also refer to Places Dyer, Arkansas , a town Dyer, Indiana , a town Dyer Amtrak station Dyer, Nevada , a village Dyer, Tennessee , a city Dyer, West Virginia , an unincorporated community Dyer County, Tennessee Dyer Bay , Maine Dyer River , Maine Dyer Plateau , Palmer Land, Antarctica Dyer Point , Ellsworth Land, Antarctica Dyer Island , several islands Dyer Avenue disambiguation , two streets, one in New York, the other in Hong Kong Camp Dyer , Rhode Island, a temporary camp used during the Spanish American War Dyer State Wayside , a rest stop in Oregon 78434 Dyer , an asteroid People Dyer surname Dyer Ball 1796 1866 , American missionary and doctor in China Dyer Lum 1839 1893 , American anarchist labor activist and poet Dyer Pearl 1857 1930 , American businessman Other uses USS Dyer DD 84 USS Dyer DD 84 , a United States Navy destroyer Dyer Observatory , an astronomical observatory in Brentwood, Tennessee, owned and operated by Vanderbilt University Dyer Baronets , two Baronetcies in the Baronetage of England Dyer Boats , built in Warren, Rhode Island DYER TV , a Philippine television station See also Dyre disambiguation Dyersburg, Tennessee , a city Dyer s Case , an old English contract law case disambig geo given name de Dyer es Dyer desambiguaci n fr Dyer io Dyer it Dyer nl Dyer pl Dyer pt Dyer ru vo Dyer ...   more details



  1. Alastair Swinnerton

    Alastair Swinnerton is a UK writer producer known mostly for his involvement with Lego Bionicle , which he co created with Bob Thompson and Martin Andersen of Lego and Christian Faber of Danish advertising agency Advance. However, he has been writing and creating animation since the late 1980s, and was the co creator and co writer of The Baskervilles , Alphanim s 2000 26 half hour cartoon series set in Hell, or a theme park based on Hell depending on which country it was viewed in. ref http www.alphanim.com Baskervilles.338.0.html Alphanim BASKERVILLES THE Bot generated title ref He has many other credits, including the 1998 series of The Wombles , ref http www.tidybag.co.uk television the wombles 1990s tv episodes The Wombles 1990s TV episodes Tidy Bag Bot generated title ref and the second season of the Emmy nominated Disney Channel Dorling Kindersley series Amazing Animals . ref http www.littleman.com movies people 0 001127670 Alastair Swinnerton Filmography.html ref He has been associated with various companies, including Skryptonite, which he co founded with producers Ken Anderson and Tony Barnes, and Corsham Entertainment, in which he was briefly partnered by Gary Kurtz , producer of Star Wars , and Richard Bazeley, a former Disney animator. ref http news.awn.com index.php?ltype search&range all&search corsham&newsitem no 8899 AWN Headline News Bot generated title ref In 2002 he went solo again, and was the writer, and co director & co producer with Neil Graham of London s Zoo Films, of The Tale of Jack Frost , a half hour CGI Christmas special based on the David Melling ref http www.davidmelling.co.uk David Melling Ilustrator Bot generated title ref book that first aired on CBBC at Christmas 2004 and which was nominated for a BAFTA in 2005. ref http www.bcdb.com cartoon ... . NAME Swinnerton, Alastair ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Swinnerton, Alastair Category Living people Category British ...   more details



  1. Conjecture

    For text reconstruction Conjecture textual criticism No footnotes date August 2010 A conjecture is a Proposition philosophy proposition that is Formal proof unproven but is thought to be true and has not been disproven. Karl Popper pioneered the use of the term conjecture in scientific philosophy . Conjecture is contrasted by hypothesis hence theory , axiom , principle , which is a testable statement based on accepted grounds. In mathematics , a conjecture is an unproven proposition or theorem that appears correct. Famous conjectures Beal s conjecture The Poincar theorem proven by Grigori Perelman Goldbach s conjecture The Riemann hypothesis The Collatz conjecture The Maldacena conjecture The Langlands program is a far reaching web of these ideas of unifying conjecture s that link different .... In mathematics, any number of cases supporting a conjecture, no matter how large, is insufficient for establishing the conjecture s veracity, since a single counterexample would immediately bring down the conjecture. Conjectures disproven through counterexample are sometimes referred to as false conjectures cf. P lya conjecture . Mathematical journals sometimes publish the minor results of research teams having extended a given search farther than previously done. For instance, the Collatz conjecture ... contributions to formal mathematics. Use of conjectures in conditional proofs Sometimes a conjecture ... results. For example, the Riemann hypothesis is a conjecture from number theory that amongst other ... which are contingent on the truth of this conjecture. These are called conditional proof s the conjectures ... the truth or falsity of conjectures of this type. Undecidable conjectures Not every conjecture ... also Hypothesis Hypotheticals List of conjectures External links Wiktionary conjecture http garden.irmacs.sfu.ca ... de Vermutung Mathematik es Conjetura eo Konjekto matematiko fa fr Conjecture gd Baralachas ... Konjektur nl Vermoeden ja pl Przypuszczenie pt Conjectura ru simple Conjecture sk Domnienka ...   more details



  1. Dyer Baronets

    of the Shropshire County Council from 1969 to 1972. The sixteenth Baronet is a mathematician. Dyer Baronets, of Staughton 1627 Sir Lodowick Dyer, 1st Baronet c. 1605 1669 Dyer Baronets, of Tottenham 1678 Sir William Dyer, 1st Baronet d. 1681 Sir John Swinnerton Dyer, 2nd Baronet c. 1656 1701 Sir Swinnerton Dyer, 3rd Baronet 1688 1736 Sir John Swinnerton Dyer, 4th Baronet c. 1692 1754 Sir Thomas Dyer, 5th Baronet 1694 1780 Sir John Swinnerton Dyer, 6th Baronet 1738 1801 Sir Thomas Richard Swinnerton Dyer, 7th Baronet c. 1770 1838 Sir Thomas Swinnerton Dyer, 8th Baronet 1770 1854 Sir Thomas Dyer, 9th Baronet 1799 1878 Sir Swinnerton Halliday Dyer, 10th Baronet 1833 1882 Sir Thomas Swinnerton Dyer, 11th Baronet 1859 1907 Sir John Swinnerton Dyer, 12th Baronet 1891 1917 Sir John Lodovick Swinnerton Dyer, 13th Baronet 1914 1940 Sir Leonard Whitworth Swinnerton Dyer, 14th Baronet 1875 1947 Sir Leonard Schroeder Swinnerton Dyer, 15th Baronet 1898 1975 Peter Swinnerton Dyer Sir Henry Peter Francis Swinnerton Dyer, 16th Baronet b. 1927 References Kidd, Charles, Williamson, David editors . Debrett ...There have been two Baronetcies created for persons with the surname Dyer , both in the Baronetage of England . One creation is extant as of 2008. The Dyer Baronetcy , of Staughton in the County of Huntingdon, was created in the Baronetage of England on 8 June 1627 for Lodowick Dyer. The title became extinct on his death in 1669. The Dyer Baronetcy , of Tottenham in the County of Middlesex, was created in the Baronetage of England on 6 July 1678 for William Dyer. He was the husband of Thomazine, only daughter and heiress of Thomas Swinnerton, of Stanway Hall, Essex . The sixth Baronet was a Colonel in the British Army and Groom of the Bedchamber to George IV of the United Kingdom King George IV when Prince of Wales. The seventh Baronet was a Lieutenant General in the British Army. The eighth ... 2012 Use dmy dates date March 2012 Category Baronetcies Dyer Category 1627 establishments in England ...   more details



  1. Oppenheim conjecture

    Cassels and H. P. F. Swinnerton Dyer , albeit in a different language. Shortly after Margulis ...In Diophantine approximation , the Oppenheim conjecture concerns representations of numbers by real quadratic form s in several variables. It was formulated in 1929 by Alexander Oppenheim and later the conjectured property was further strengthened by Davenport and Oppenheim. Initial research on this problem took the number n of variables to be large, and applied a version of the Hardy Littlewood circle method . The definitive work of Grigory Margulis Margulis , settling the conjecture in the affirmative, used methods arising from ergodic theory and the study of discrete subgroup s of semisimple Lie group s. Short description Meyer s theorem states that an indefinite integral quadratic form Q in n variables, n   &ge   5, nontrivially represents zero, i.e. there exists an non zero vector x with integer components such that Q x     0. The Oppenheim conjecture can be viewed as an analogue of this statement for forms Q that are not multiples of a rational form. It states that in this case, the set of values of Q on integer vectors is a dense subset of the real line . History Several versions of the conjecture were formulated by Oppenheim and Harold Davenport Davenport . Let Q be a real nondegenerate indefinite quadratic form in n variables. Suppose that n   &ge   ... by Oppenheim in 1953 and proved by Birch, Davenport, and Ridout for n at least 21, and by Davenport ... forms. The conjecture was proved in 1987 by Margulis in complete generality using methods of ergodic ... to established the case n 3. The idea to derive the Oppenheim conjecture from a statement ... that the conjecture for n 3 is equivalent to the following property of the space of lattices Any ... of the Oppenheim conjecture were later proved by Eskin Margulis Mozes. Armand Borel Borel and Gopal .... N.S. 32 1995 , no. 2, 184 204. MathSciNet id 1302785 Grigory Margulis , Oppenheim conjecture . Fields ...   more details



  1. Birch

    Other uses taxobox name Birch image Betula pendula 001.jpg image caption Silver Birch regnum Plant ae ... species br see text and Betula classification classification Refimprove date November 2008 Birch is a broadleaved ... climate s. Etymology The common name birch is derived from an old Germanic language Germanic ... to shine. The Proto Germanic rune berkanan is named after the birch. The generic name Betula is from Latin . Description File Birch bark front rear.jpg 140px left thumb The front and rear sides of a piece of birch bark Birch species are generally small to medium sized tree s or shrub s, mostly of temperate ... lenticel s, and often separates into thin, papery plates, especially upon the Paper Birch paper birch ... names Gray birch gray , Paper birch white , Black birch black , Silver birch silver and yellow birch to different species. The buds form early and are full grown by midsummer, all are lateral, no terminal .... Ecology Image Stand of birch trees.jpg thumb right alt A stand of birch trees A stand of birch ... 11, 1984. ref Birch foliage is used as a food plant by the larva e of a large number of Lepidoptera ... of Betula Birches native to Europe and Asia include Betula aetniensis Sicilian birch Betula albosinensis Chinese red birch Betula albosinensis var. septentrionalis north Chinese red birch Betula alnoides alder leaf birch Betula austrosinensis South China birch Betula carpatica Carpathian birch Betula chinensis Chinese dwarf birch Betula dalecarlica Betula ermanii Erman s birch Betula grossa Japanese cherry birch Betula jacquemontii Betula utilis subsp. jacquemontii white barked Himalayan birch Betula kamtschatica Kamchatka birch platyphylla Betula litvinovii Betula mandschurica Manchurian birch Betula mandschurica var. japonica Japanese birch Betula maximowiczii monarch birch Betula medwediewii Caucasian birch Betula nana dwarf birch also in northern North America Betula pendula silver birch Betula platyphylla Betula pendula var. platyphylla Siberian silver birch Betula pubescens downy ...   more details



  1. The Birch

    The Birch is a national undergraduate journal of Eastern European and Eurasia n culture. The journal, which is run by undergraduates at Columbia University , is the first exclusively undergraduate journal of Slavic studies Slavic , Eastern European and Eurasian studies in America. Any enrolled undergraduate can submit work to one of three sections creative writing , literary criticism and culture and affairs. The Birch has featured interviews with the children of Vladimir Mayakovsky , Aleksandr Solzhenitsyn and Boris Pasternak . The Fall 2006 issue featured an interview with Eduard Shevardnadze . External links http www.thebirchonline.org The Birch online DEFAULTSORT Birch, The publish stub Category Columbia University Category American student magazines ...   more details



  1. Will Birch

    Will Birch born 12 September 1948, Southend on Sea , Essex is an English people English music journalist , songwriter , record producer and drummer . Career Birch played drum s in various musical ensemble bands in the Southend on Sea Southend area before helping to form The Kursaal Flyers in 1973. Featuring singing singer Paul Shuttleworth, the Flyers developed a strong live reputation on London s Pub rock UK pub rock scene in the mid 1970s, and released several album s. Their biggest commercial success came with the uncharacteristic Mike Batt record producer produced hit single , Little Does She Know , in 1976, which Birch co wrote. ref http www.kursaalflyers.net home.php Kursaal Flyers Home Bot generated title ref After The Kursaal Flyers disbanded in late 1977, Birch formed the power pop group, The Records . They released the minor hit Starry Eyes in 1978, again co written by Birch, toured the United States and sound recording and reproduction recorded several albums. The Records split up in 1982. ref http www.therecords.com discography.htm The Records Starry Eyes home of UK power pop group therecords.com Bot generated title ref Birch also co wrote the song A.1. on the Jukebox with Dave Edmunds . Meanwhile, Birch had already moved into production, working with the Liverpool based band, Yachts band Yachts , plus Billy Bremner musician Billy Bremner of Rockpile , Desmond Dekker , The Long Ryders , and later Dr. Feelgood . ref http www.willbirch.com studio 20frolics.htm Will Birch ... reviews will birch book.htm Get Ready to ROCK review of No Sleep Till Canvey Island The Great ... No 20Sleep 20Till 20Canvey 20Island.htm No Sleep Till Canvey Island Pub Rock Will Birch Book Bot generated title ref References reflist External links http www.willbirch.com Will Birch website Persondata Metadata see Wikipedia Persondata . NAME Birch, Will ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 12 September 1948 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Birch, Will Category ...   more details



  1. Peter Dyer

    Peter Dyer may refer to Peter the Dyer Peter Swinnerton Dyer hndis Dyer, Peter Short pages monitor This long comment was added to the page to prevent it from being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Long comment. Please do not remove the monitor template without removing the comment as well. ...   more details



  1. Bryan John Birch

    Infobox scientist name Bryan John Birch image filename only image size caption birth date birth date and age 1931 09 25 df y birth place Burton upon Trent death date death place nationality flag United Kingdom fields Mathematics workplaces University of Oxford alma mater University of Cambridge doctoral advisor J. W. S. Cassels doctoral students John Merriman mathematician John Merriman br Anthony Scholl br John Cremona known for Birch and Swinnerton Dyer conjecture influences Harold Davenport influenced awards Bryan John Birch Fellow of the Royal Society F.R.S. born 25 September 1931 is a United Kingdom British mathematician . His name has been given to the Birch and Swinnerton Dyer conjecture . He was born in Burton on Trent , the son of Arthur Jack and Mary Edith Birch. He was educated at Shrewsbury School and Trinity College, Cambridge . He married Gina Margaret Christ in 1961. They have ... under J. W. S. Cassels . More influenced by Harold Davenport , he proved Birch s theorem , one of the definitive ... forms in a large enough set of variables must have zeroes. He then worked closely with Peter Swinnerton Dyer on computations relating to the Hasse Weil L function s of elliptic curve s. Their subsequently formulated conjecture relating the rank of an elliptic curve to the order of zero of an L ... only partial results have been obtained. In later work he contributed to algebraic K theory Birch Tate conjecture . He then formulated ideas on the role of Heegner point s he had been one of those ... regained acceptance . Birch put together the context in which the Gross Zagier theorem was proved ... Birch, Bryan John ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 25 September 1931 PLACE OF BIRTH Burton upon Trent DATE OF DEATH PLACE OF DEATH DEFAULTSORT Birch, Bryan John Category 1931 births ... Society Category Fellows of Brasenose College, Oxford de Bryan Birch ht Bryan John Birch nl Bryan Birch pt Bryan John Birch ...   more details



  1. Littlewood conjecture

    was shown in 1955 by J. W. S. Cassels and Swinnerton Dyer . ref cite journal author J.W.S. Cassels, H.P.F. Swinnerton Dyer title On the product of three homogeneous linear forms and the indefinite ...In mathematics , the Littlewood conjecture is an open problem As of 2011 lc on in Diophantine approximation , proposed by John Edensor Littlewood around 1930. It states that for any two real number s and , math liminf n to infty n , Vert n alpha Vert , Vert n beta Vert 0, math where math Vert , Vert math is here the distance to the nearest integer. Formulation and explanation This means the following take a point , in the plane, and then consider the sequence of points 2 ,2 , 3 ,3 , ... . For each of these consider the closest Lattice group lattice point , as determined by multiplying the distance to the closest line with integer x coordinate by the distance to the closest line with integer y coordinate. This product will certainly be at most 1 4. The conjecture makes no statement about whether this sequence of values will Convergence mathematics converge it typically does not, in fact. The conjecture states something about the Limit superior and limit inferior limit inferior , and says that there is a subsequence for which the distances decay faster than the reciprocal, i.e. o ... conjecture, expected to hold for n 3 it is stated in terms of G SL sub n sub R , SL sub n sub Z , and the subgroup D of G of diagonal matrices . Conjecture for any g in G such that Dg is relatively compact in G , then Dg is closed. This in turn is a special case of a general conjecture of Grigory ... set of real pairs , violating the statement of the conjecture must be small. Manfred Einsiedler ..., E. Lindenstrauss title Invariant measures and the set of exceptions to Littlewood s conjecture ... Akshay Venkatesh title The work of Einsiedler, Katok, and Lindenstrauss on the Littlewood conjecture ... S0273 0979 07 01194 9 accessdate 2011 03 27 mr 2358379 zbl 1194.11075 DEFAULTSORT Littlewood Conjecture ...   more details



  1. Dyer (surname)

    Dyer is a surname , with England English origins, and may refer to Ainsworth Dyer Alex Dyer footballer born 1965 , English footballer who played for Blackpool, Charlton Athletic and Oxford United, amongst others Alex Dyer footballer born 1990 , English footballer who plays for Northampton Town Alexander Brydie Dyer Alvin R. Dyer Amelia Dyer , Victorian nurse and farmer Bruce Dyer Buddy Dyer , politician, mayor of Orlando Charles Dyer , British architect 1794 1848 Clay Dyer Colin Dyer Danny Dyer Deborah Dyer Dennis Dyer Eddie Dyer Edward Dyer Sir Edward Dyer , English courtier and poet 1543 1607 Elinor Brent Dyer , British author Eliphalet Dyer Fred Dyer , British boxer and entertainer Geoff Dyer George Dyer disambiguation Greg Dyer Gwynne Dyer Hector Dyer Henry Dyer Herbert Dyer Isadore Dyer J. Milton Dyer 1870 1957 , American architect Jack Dyer Jack M. Dyer Jesse Farley Dyer , American Medal of Honor recipient John Dyer , Welsh poet Joyce Dyer Kieron Dyer , English international football soccer player Leonidas C. Dyer , Republican Missouri Senator in the 67th Congress Lloyd Dyer Louis Dyer Maria Tarn Dyer Mary Dyer , colonial American Quaker religious martyr Mary Marshall Dyer Mike Dyer disambiguation Nehemiah Dyer Nick Dyer Peter Swinnerton Dyer , British mathematician Reginald Dyer , British general, responsible for the Amritsar massacre Richard Dyer Richard Dyer Bennet Rolla Dyer Sarah Dyer Senimili Dyer Samuel Dyer missionary with the London Missionary Society T. F. Thistleton Dyer , British author Thomas Dyer Thomas Henry Dyer Walter Alden Dyer Wayne Dyer Wayne W. Dyer , self help author and speaker William Dyer settler , founding settler of Portsmouth and Newport, Rhode Island husband of Mary Dyer William Turner Thiselton Dyer , British botanist 1843 1928 surname Dyer It does not help to add disambig or hndis tags where the page only contains people who share a surname Category Occupational surnames ...   more details



  1. Henry Dyer (disambiguation)

    Henry Dyer was a Scottish engineer. Henry Dyer may also refer to Henry Dyer American football Sir Henry Peter Swinnerton Dyer , 16th Baronet b. 1927 See also intitle Henry Dyer Harry Dyer hndis Dyer, Henry ...   more details



  1. Henry Hurd Swinnerton

    Henry Hurd Swinnerton 1875 1966 was a British geologist . He was professor of geology at University College Nottingham from 1910 to 1946. Not to be confused with American geologist A.C. Swinnerton . In the 1930s Swinnerton was a member of the Fenland Research Committee, contributing valuable knowledge of the geomorphology of the Lincolnshire coast. ref cite web url http www.arch.cam.ac.uk pjs1011 grahame clark fenland research committee.pdf title Grahame Clark, the Fenland Research Committee and prehistory ... bibliography Swinnerton H.H. 1910 Nottinghamshire , Cambridge County Geographies. Swinnerton H.H. 1912 The palmistry of the rocks. Rep Trans Notts Nat Soc 60 65 68. Swinnerton H.H. Arthur Elijah Trueman ... Society , London 73, 26 58 Swinnerton H.H. 1923 Outlines of Palaeontology . Third edition. London, Edward Arnold, 1958. Swinnerton H.H. 1935 The Rocks Below the Red Chalk of Lincolnshire, and Their Cephalopod Faunas. Quarterly Journal of the Geological Society , London 91, 1 46. Swinnerton .... Lincoln, Lincolnshire Naturalists Union 1949 2nd Ed, 1981 . Swinnerton H.H. 1938 . Presidential Address .... Swinnerton H.H. 1941 . Further observations on the Lower Cretaceous rocks of Lincolnshire. Proceedings of the Geologists Association 52, 198 207. Swinnerton H.H. 1943 Belemnites from East Greenland. Ann. Mag. Nat. Hist. Ser. II 10 66 , 406 410. Swinnerton H.H. 1936 1955 A Monograph of British Cretaceous Belemnites. Lower Cretaceous. Palaeontographical Society , London 1 5, 1 86. Swinnerton H.H. 1958 The Earth Beneath Us Harmondsworth Pelican . Swinnerton H.H. 1960 Fossils New Naturalist Series ... preface.htm Swinnerton 1910 Nottinghamshire , Cambridge County Geographies GLS Presidents Persondata Metadata see Wikipedia Persondata . NAME Swinnerton, Henry Hurd ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1875 PLACE OF BIRTH DATE OF DEATH 1966 PLACE OF DEATH DEFAULTSORT Swinnerton, Henry ... stub UK geologist stub UK scientist stub fr Henry Hurd Swinnerton ...   more details



  1. Milborne-Swinnerton-Pilkington Baronets

    The Pilkington , later Milborne Swinnerton Pilkington Baronetcy , of Stanley in the Yorkshire County of York , is a title in the Baronetage of Nova Scotia . It was created on 29 June 1635 for Arthur Pilkington, along with a grant of convert 6000 acre km2 in Nova Scotia . The fifth Baronet sat as Member of Parliament for Horsham UK Parliament constituency Horsham . The eighth Baronet married Mary, daughter and co heir of Thomas Swinnerton, of Butterton Hall, Staffordshire , by his wife Mary, daughter and heir of Charles Milborne, of Wonastow, Monmouthshire historic Monmouthshire . His youngest son, the eleventh Baronet, assumed in 1856 by Royal license the surname of Milborne Swinnerton, but later resumed the surname of Pilkington in addition to those of Milborne Swinnerton. He was High Sheriff of Yorkshire in 1859. Pilkington, later Milborne Swinnerton Pilkington Baronets, of Stanley 1635 Sir Arthur Pilkington, 1st Baronet d. 1650 Sir Lyon Pilkington, 2nd Baronet 1613 1684 Sir Lyon Pilkington, 3rd Baronet c. 1660 1714 Sir Lyon Pilkington, 4th Baronet 1683 1716 Sir Lionel Pilkington, 5th Baronet 1707 1778 Sir Michael Pilkington, 6th Baronet 1715 1788 Sir Thomas Pilkington, 7th Baronet 1773 1811 Sir William Pilkington, 8th Baronet 1775 1850 Sir Thomas Edward Pilkington, 9th Baronet 1829 1854 Sir William Milborne Swinnerton Pilkington, 10th Baronet 1831 1855 Sir Lionel Milborne Swinnerton Pilkington, 11th Baronet 1835 1901 Sir Thomas Edward Milborne Swinnerton Pilkington, 12th Baronet 1857 1944 Sir Arthur William Milborne Swinnerton Pilkington, 13th Baronet 1898 1952 Sir Thomas Henry Milborne Swinnerton Pilkington, 14th Baronet b. 1934 References Kidd, Charles, Williamson, David editors . Debrett s Peerage and Baronetage 1990 edition . New York St Martin s Press, 1990. Rayment bt date March 2012 Use dmy dates date March 2012 Category Baronetcies Milborne Swinnerton Pilkington Category 1635 establishments in Nova Scotia ...   more details



  1. Frank Arthur Swinnerton

    Frank Arthur Swinnerton 12 August 1884 6 November 1982 was an English people English novelist, critic, biographer and essayist. He was the author of more than 50 books, and as a publisher s editor helped other writers including Aldous Huxley and Lytton Strachey . His long life and career in publishing made him one of the last links with writers including H. G. Wells , John Galsworthy and Arnold Bennett born in the nineteenth century. Biography Swinnerton was born in Wood Green , a suburb of London, the son of Charles Swinnerton, a copperplate engraver, and Rose, n e Cottam. ref name gale http galenet.galegroup.com servlet GLD hits?r d&origSearch true&o DataType&n 10&l d&c 4&locID wes ttda&secondary false&u CA&t KW&s 2&NA swinnerton Contemporary Authors Online. The Gale Group, 2000, accessed 22 November 2008 ref Career Swinnerton left school at the age of 14 and was employed as an office boy for a newspaper publisher, Hay, Nisbet & Co ref name gale and then as a clerk receptionist by J. M ... , the London Evening News 1929 32 and The Observer 1937 43 . As a novelist, Swinnerton achieved critical .... Some critics detected echoes of George Gissing and Arnold Bennett in Swinnerton s work, but he .... ref name gale Swinnerton himself said of his work My best books, in my own opinion, are Harvest ... name gale Personal life Swinnerton lived for more than fifty years in Old Tokefield, Cranleigh , Surrey ... he had one daughter. Swinnerton died at Old Tokefield at the age of 98. His obituary notice in The Times .... The Georgian House, 1932. Elizabeth, 1934. The Georgian Literary Scene, 1935. Swinnerton an Autobiography ... Swinnerton, Frank Arthur , Who Was Who , A & C Black, 1920 2007 online edn, Oxford University Press, December 2007 ref Notes reflist External links gutenberg author id Frank Swinnerton name Frank Arthur Swinnerton Persondata Metadata see Wikipedia Persondata . NAME Swinnerton, Frank ALTERNATIVE NAMES ... OF DEATH DEFAULTSORT Swinnerton, Frank Category 1884 births Category 1982 deaths Category English novelists ...   more details




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