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Daniel Quillen





Encyclopedia results for Daniel Quillen

  1. Daniel Quillen

    Infobox scientist name Daniel Quillen image birth date Birth date 1940 6 22 birth place Orange, New Jersey death date Death date and age 2011 4 30 1940 6 22 ref http www.commalg.org 2011 05 daniel quillen Daniel Quillen entry posted on Sunday, May 1, 2011 ref nationality United States American ethnicity ... Daniel Quillen url http www.commalg.org 2011 05 daniel quillen year 2011 accessdate 05 03 2011 ref ... citation last Segal first Graeme title Daniel Quillen obituary newspaper The Guardian date June 23, 2011 url http www.guardian.co.uk science 2011 jun 23 daniel quillen obituary ref His proof of the conjecture ... citation last1 Quillen first1 Daniel G. title Homology of commutative rings url http chromotopy.org paste quillen.djvu series unpublished notes Citation last1 Quillen first1 Daniel G. title Homotopical ... authorlink Daniel Quillen last Quillen first Daniel title On the formal group laws of unoriented and complex ... jstor 1970725 issue 2 publisher Annals of Mathematics Citation last1 Quillen first1 Daniel author1 link Daniel Quillen title The Adams conjecture doi 10.1016 0040 9383 71 90018 8 mr 0279804 year 1971 ... 10 pages 67 80 Citation last1 Quillen first1 Daniel author1 link Daniel Quillen title The spectrum of an equivariant ... first1 Daniel author1 link Daniel Quillen title The spectrum of an equivariant cohomology ring. II jstor ... issn 0003 486X volume 94 pages 573 602 Citation last1 Quillen first1 Daniel author1 link Daniel Quillen ... last1 Quillen first1 Daniel author1 link Daniel Quillen title Proceedings of the International ... Citation last1 Quillen first1 Daniel title New developments in topology Proc. Sympos. Algebraic ... pages 95 103 Citation last Quillen first Daniel authorlink Daniel Quillen year 1976 title Projective ... BF01390008 Citation last1 Quillen first1 Daniel author1 link Daniel Quillen title Superconnections ... Persondata . NAME Quillen, Daniel Gray ALTERNATIVE NAMES SHORT DESCRIPTION American mathematician ... PLACE OF DEATH Florida, U.S. DEFAULTSORT Quillen, Daniel Category 1940 births Category 2011 deaths Category ...   more details



  1. Quillen adjunction

    In homotopy theory , a branch of mathematics , a Quillen adjunction between two closed model category closed model categories C and D is a special kind of adjoint functor adjunction between category mathematics categories that induces an adjunction between the homotopy category homotopy categories Ho C and Ho D via the total derived functor construction. Quillen adjunctions are named in honor of the mathematician Daniel Quillen . Formal definition Given two closed model categories C and D , a Quillen adjunction is a pair F , G C math leftrightarrows math D of adjoint functor s with F left adjoint to G such that F preserves cofibration s and trivial cofibrations or, equivalently by the closed model axioms, such that G preserves fibration s and trivial fibrations. In such an adjunction F is called the left Quillen functor and G is called the right Quillen functor . Properties It is a consequence of the axioms that a left right Quillen functor preserves weak equivalence s between cofibrant fibrant objects. The total derived functor theorem of Quillen says that the total left derived functor L F Ho C &rarr Ho D is a left adjoint to the total right derived functor R G Ho D &rarr Ho C . This adjunction L F , R G is called the derived adjunction . If F , G is a Quillen adjunction as above such that F c &rarr d is a weak equivalence in D if and only if c &rarr G d is a weak equivalence in C then it is called a Quillen equivalence of the closed model categories C and D . In this case the derived adjunction is an adjoint equivalence of categories so that L F c &rarr d is an isomorphism in Ho D if and only if c &rarr R G d is an isomorphism in Ho C . References Goerss, Jardine. Simplicial Homotopy Theory . http www math.mit.edu larsh teaching S2005 l12 http www math.mit.edu larsh teaching S2005 l13 Category Homotopy theory Category Continuous mappings Category Adjoint functors ...   more details



  1. Quillen River

    Infobox River river name Quillen River image name image size caption origin mouth basin countries Chile length elevation mouth elevation discharge watershed The Quillen River is a river of Chile . See also List of rivers of Chile References http www.dga.cl otros informestecnicos informestecnicos SDT183 InformeBioBio.pdf EVALUACION DE LOS RECURSOS HIDRICOS SUPERFICIALES EN LA CUENCA DEL RIO BIO BIO Chile geo stub Category Rivers of Chile coord missing Chile ...   more details



  1. Jimmy Quillen

    Infobox Congressman name Jimmy Quillen image name JimmyQuillen.jpg birth date birth date 1916 01 11 ref ... L. Jenkins party Republican Party United States Republican religion spouse James Henry Quillen , usually known as Jimmy Quillen January 11, 1916 ref name birthdate Selective Service System and U.S. Navy official records both liste Quillen s date of birth as January 11, 1915. ref &ndash November 2 ... from Tennessee from 1963 to 1997. Early life Quillen was born in Scott County, Virginia , son of John A. and Hannah Quillen, near the Tennessee line and was later a 1934 graduate of Dobyns Bennett High School in Kingsport, Tennessee . Quillen worked as a restaurant kitchen prep worker, a grocery .... During 1936, Quillen invested his own personal savings of 42 to become the publisher and owner of The Kingsport Mirror , a weekly newspaper that he started in Kingsport, Tennessee . Quillen sold ... Court Apartments to start up another weekly newspaper, The Johnson City Times . ref Jimmy Quillen ... II , Quillen received a two year Selective Service System Selective Service System Class 3 A draft deferment ... Record. Washington County, Tennessee Local Board No.1, Order Number 274 ref Quillen later served in the United States Navy as a public information officer from late 1942 to 1946. Quillen ... . The National Archives records list LT j.g. J.H. Quillen s service number within the USS Antietam ... executive following World War II , Quillen also was elected as a Republican member of the Tennessee ... County . Quillen was later selected as a Tennessee delegate to the Republican National Convention .... His wife, Louise Goff Reece Louise , took over as a caretaker until the next election. Quillen ... ever since. Quillen won a five way Republican primary with only 28 percent of the vote, and won ... party opposition in 1966 and 1980, and was completely unopposed in 1984 and 1990. Quillen eventually ... alt Notch Baby button. Notch Baby button. Quillen s popularity was not due only to his district s heavy ...   more details



  1. Robert Quillen

    Verni Robert Quillen March 25, 1887 December 9, 1948 was an United States American journalist and humorist ... The Selected Writings of Robert Quillen, 1920 1948 Columbia University of South Carolina Press, 2008 , xi. ref Youth and early career Quillen was born in Syracuse, Kansas , near the Colorado border, and was reared in Overbrook, Kansas , a hamlet south of Topeka , where his father, J. D. Quillen, published the local newspaper. ref Moore, xi. According to Quillen, his paternal grandfather was a dour ..., 84. ref In 1904, shortly before his seventeenth birthday, Quillen joined the U.S. Army under an assumed .... ref Moore, xii. Quillen published an autobiographical essay, Concerning Me on October 17 ... after his first encounter he remained in Fountain Inn only three months, Quillen there met and married ... his new bride to Washington State, where Quillen joined forces with his father and worked at publishing ... Orchard, Washington Port Orchard . ref Moore, xii xiii. ref Quillen later wrote that he had gone ... 120 px thumb right Quillen s Monument to Eve, 1925 ref Last week the obelisk was erected in my ... Inn offered to sell him a weekly advertising sheet called News and Notions , Quillen bought it and borrowed money to purchase his own press and type. In the following year Quillen began editing ... with news of Fountain Inn and outlying communities. ref name Moore, xiii At first, as Quillen confessed .... One Fountain Inn man warned a new preacher, Don t get mad at anything Mr. Quillen says. We re used to him and just overlook his queerness. ref Moore, xiv. ref Among other oddities, Quillen regularly ... Inn , Cosmopolitan magazine Cosmopolitan September 1933 , 69. Quillen thought it shameful that people waited until it was too late to say nice things about those they loved and admired. Quillen ... National Register of Historic Places in January 2012. ref Well into his forties, Quillen hoped ... Republican November 30, 1924 , 7. ref A decade later Quillen referred to these books as fortunately ...   more details



  1. Lee Quillen

    Infobox MLB player name Lee Quillen position Third baseman image Lee Quillen.jpg bats Right throws Right birth date Birth date 1882 5 5 mf y birth place North Branch, Minnesota death date death date and age 1965 5 14 1882 5 5 death place Saint Paul, Minnesota debutdate September 30 debutyear By 1906 debutteam Chicago White Sox finaldate August 14 finalyear By 1907 finalteam Chicago White Sox stat1label Batting average stat1value .200 stat2label Home run s stat2value 0 stat3label Run batted in Runs batted in stat3value 14 teams nowiki nowiki Chicago White Sox 1906 07 Leon Abner Quillen born Leon Abner Quillin , May 5, 1882 May 14, 1965 was a professional baseball third baseman . He played parts of two seasons in Major League Baseball , by 1906 and by 1907 , with the Chicago White Sox . Quillen started his professional baseball career in by 1902 with the minor league baseball minor league Minneapolis Millers of the newly formed American Association 20th century American Association . In 1906, he had a breakout year with the Lincoln Ducklings in the Western League defunct minor league Western League , hitting for a .350 average. He was sent to the major league White Sox towards the end of the season and played four games for the eventual World Series champions. The following year, he hit just .192 as Chicago s backup third baseman. Quillen returned to the Millers in by 1908 and by 1909 . In 1910, he scored 133 runs for the Western League champion Sioux City Packers . ref http www.minorleaguebaseball.com milb history top100.jsp?idx 80 1910 Sioux City Packers . MinorLeagueBaseball.com . Retrieved 2010 10 16. ref After four more years in the minors, Quillen finished his career in by 1914 with the Lincoln team, now renamed the Tigers. References reflist External links Baseballstats ... Quillen, Lee ALTERNATIVE NAMES SHORT DESCRIPTION American baseball player DATE OF BIRTH May 5, 1882 ... DEFAULTSORT Quillen, Lee Category Major League Baseball third basemen Category Chicago White ...   more details



  1. Quillen determinant line bundle

    In mathematics, the Quillen determinant line bundle is a line bundle over the space of Cauchy Riemann operator s of a vector bundle over a Riemann surface , introduced by harvs txt last Quillen authorlink Daniel Quillen year 1985 . References Citation last1 Quillen first1 Daniel author1 link Daniel Quillen title Determinants of Cauchy Riemann operators over a Riemann surface url http dx.doi.org 10.1007 BF01086022 publisher Springer New York id MR 783704 year 1985 journal Functional Analysis and Its Applications issn 0016 2663 volume 19 pages 31 34 Category Riemann surfaces Category Vector bundles ...   more details



  1. Mathai?Quillen formalism

    In mathematics, the Mathai Quillen formalism is an approach to topological quantum field theory introduced by harvs txt last1 Atiyah last2 Jeffrey year 1990 , based on the Mathai Quillen form constructed in harvs txt last Mathai author1 link Varghese Mathai last2 Quillen author2 link Daniel Quillen year 1986 . References Citation last1 Atiyah first1 Michael Francis author1 link Michael Atiyah last2 Jeffrey first2 L. title Topological Lagrangians and cohomology url http dx.doi.org 10.1016 0393 0440 90 90023 V doi 10.1016 0393 0440 90 90023 V id MR 1094734 year 1990 journal Journal of Geometry and Physics issn 0393 0440 volume 7 issue 1 pages 119 136 Citation last1 Blau first1 Matthias title The Mathai Quillen formalism and topological field theory url http dx.doi.org 10.1016 0393 0440 93 90049 K doi 10.1016 0393 0440 93 90049 K id MR 1230422 year 1993 journal Journal of Geometry and Physics issn 0393 0440 volume 11 issue 1 pages 95 127 Citation last1 Mathai first1 Varghese last2 Quillen first2 Daniel author2 link Daniel Quillen title Superconnections, Thom classes, and equivariant differential forms url http dx.doi.org 10.1016 0040 9383 86 90007 8 doi 10.1016 0040 9383 86 90007 8 id MR 836726 year 1986 journal Topology journal Topology. An International Journal of Mathematics issn 0040 9383 volume 25 issue 1 pages 85 110 Category Algebraic topology ...   more details



  1. André?Quillen cohomology

    year 1974 Citation last1 Quillen first1 Daniel author1 link Daniel Quillen title On the co homology ...In commutative algebra , Andr Quillen cohomology is a theory of cohomology for commutative ring s which is closely related to the cotangent complex . It was defined independently by M. Andr and by Daniel Quillen using methods of homotopy theory . It comes with a parallel homology theory called Andr Quillen homology . Motivation Let A be a commutative ring, B be an A algebra, and M be a B module. Andr Quillen cohomology is the derived functors of the derivation abstract algebra derivation functor Der sub A sub B , M . Before the general definitions of Andr and Quillen, it was known for a long time that given morphisms of commutative rings nowrap A &rarr B &rarr C and a C module M , there is a three term exact sequence of derivation modules math 0 to operatorname Der B C, M to operatorname Der A C, M to operatorname Der A B, M . math This term can be extended to a six term exact sequence using the functor Exalcomm of extensions of commutative algebras and a nine term exact sequence using the Lichtenbaum Schlessinger functor s. Andr Quillen cohomology extends this exact sequence even further. In the zeroth degree, it is the module of derivations in the first degree, it is Exalcomm and in the second degree, it is the second degree Lichtenbaum Schlessinger functor. Definition Let B be an A algebra, and let M be a B module. Let P be a simplicial cofibrant A algebra resolution of B . Andr notates the q th cohomology group of B over A with coefficients in M by nowrap H sup q sup A , B , M , while Quillen notates the same group as nowrap D sup q sup B A , M . The q th Andr Quillen cohomology group is math D q B A, M H q A, B, M stackrel text def H q operatorname Der A P, M . math The q th Andr Quillen homology group is math D q B A, M H q A, B, M stackrel text def H q Omega P A otimes B M . math Let nowrap L sub B A sub denote the relative cotangent complex of B over A . Then we ...   more details



  1. Quillen?Lichtenbaum conjecture

    last1 Quillen first1 Daniel author1 link Daniel Quillen title Proceedings of the International ...In mathematics, the Quillen Lichtenbaum conjecture is a conjecture relating tale cohomology to algebraic K theory introduced by harvtxt Quillen 1975 p 175 , who was inspired by earlier conjectures of harvtxt Lichtenbaum 1973 . harvtxt Kahn 1997 and harvtxt Rognes Weibel 2000 proved the Quillen Lichtenbaum conjecture at the prime 2 for some number fields. Rost and Voevodsky have announced proofs of the Bloch Kato conjecture , which implies the Quillen Lichtenbaum conjecture for all primes. Statement The conjecture in Quillen s original form states that if A is a finitely generated algebra over the integers and l is prime, then there is a spectral sequence analogous to the Atiyah Hirzebruch spectral sequence , starting at math E 2 pq H p text etale text Spec A ell 1 , Z ell q 2 , math which is understood to be 0 if q is odd and abutting to math K p q A otimes Z ell math for &minus p   &minus   q     1    dim  A . K theory of the integers Assuming the Quillen Lichtenbaum conjecture and the Vandiver conjecture , the K groups of the integers, K sub n sub Z , are given by 0 if n     0 mod 8 and n     0, Z if n     0 Z     Z 2 if n     1 mod 8 and n     1, Z 2 if n     1. Z c sub k sub Z 2 if n     2 mod  8 Z 8 d sub k sub if n     3 mod 8 0 if n     4 mod 8 Z if n     5 mod 8 Z c sub k sub if n     6 mod 8 Z 4 d sub k sub if n     7 mod 8 where c sub k sub d sub k sub is the Bernoulli number B sub 2 k sub k in lowest terms and n is 4 k   &minus   1 or 4 k   &minus   2 harv Weibel 2005 . References Citation last1 Grayson first1 Daniel ... title The Quillen Lichtenbaum conjecture at the prime 2 year 1997 url http www.math.uiuc.edu K theory ... editor1 first Eric M. editor2 last Grayson editor2 first Daniel R. title Handbook of K theory. Vol ...   more details



  1. Quillen?Suslin theorem

    free module, it became free. The problem remained open until 1976, when Daniel Quillen and Andrei Suslin independently proved that the answer was affirmative. Quillen was awarded the Fields Medal ... French Citation last Quillen first Daniel authorlink Daniel Quillen year 1976 title Projective ...for the now solved conjecture on Galois representation s Serre conjecture number theory The Quillen Suslin theorem , also known as Serre s problem or Serre s conjecture , is a theorem in commutative algebra about the relationship between free module s and projective module s over polynomial rings. It states that every finitely generated projective module over a polynomial ring is free module free . Geometrically, finitely generated projective modules correspond to vector bundle s over affine space , and free modules to trivial vector bundles. Affine space is topologically contractible, so it admits no non trivial topological vector bundles. A simple argument using the exponential sheaf sequence exponential exact sequence and the d bar Poincar lemma shows that it also admits no non trivial holomorphic vector bundles. Jean Pierre Serre , in his 1955 paper List of important publications in mathematics Faisceaux Alg briques Coh rents Faisceaux alg briques coh rents , remarked that the equivalent question was not known for algebraic vector bundles It is not known if there exist projective A modules of finite type which are not free. ref On ignore s il existe des A modules projectifs de type fini qui ne soient pas libres. Serre, FAC , p. 243. ref Here A is a polynomial ring over a field, that is, A k x sub 1 sub , ..., x sub n sub . To Serre s dismay, this problem quickly became known as Serre s conjecture. Serre wrote, I objected as often as I could to the name . ref Lam, p. 1 ref The statement is not immediately obvious from the topological and holomorphic cases, because these cases only guarantee that there is a continuous or holomorphic trivialization, not an algebraic trivialization ...   more details



  1. Daniel

    about the Biblical figure called Daniel Infobox saint name Daniel birth date 7th Century B.C death date ... in Islam and Judaism , B. M. Wheeler, Daniel Daniel is not mentioned by name in the Qur an but there are accounts ... Daniellion.jpg imagesize 300px caption Daniel s Answer to the King by Briton Rivi re death place ... canonized by attributes Often depicted in the den of the lions patronage major shrine Tomb of Daniel , Susa , Iran suppressed date issues prayer prayer attrib Daniel Hebrew Name Daniyyel D niyy l Arabic , meaning in Hebrew God is my Judge is the protagonist in the Book of Daniel of the Hebrew Bible . In the narrative, when Daniel was a young man, he was taken into Babylonian captivity ... own that have been interpreted as the Four monarchies . Some of the most famous tales of Daniel are Shadrach, Meshach, and Abednego , The writing on the wall and Daniel in the lions den . Narrative of Daniel Induction into Babylon File Daniel refuse kingsfood.jpg thumb 200px Daniel refusing to eat ... , Daniel and his friends Hananiah, Mishael, and Azariah were among the young Jewish nobility carried ... court, Bibleref Daniel 1 Daniel was given the name Belteshazzar , i.e., prince of Bel ... Oxford University Press, 2009. ref Daniel and Nebuchadnezzar Main Daniel 2 see also Nebuchadnezzar II Portrayal in the books of Daniel and Jeremiah Book of Daniel Nebuchadnezzar or Nabonidus In the narrative of Daniel chapter 2, it is the second year of the reign of Nebuchadnezzar II Nebuchadnezzar ... the execution of all the wise men in Babylon. sup v.12 sup When Daniel discovers the King s executive ... sup Daniel prays for God s mercy to receive a revelation from the King s dream. sup v.15 18 sup God then reveals the mystery to Daniel in a vision that night. sup v.19 sup Daniel praises his God with a doxology . sup v.20 23 sup After meeting with Arioch again, Daniel is granted access to the king sup .... sup v.37 45 sup With Daniel s successful interpretation of the dream, the king expresses homage ...   more details



  1. East Tennessee State University James H. Quillen College of Medicine

    Refimprove date August 2011 Infobox university name ETSU James H. Quillen College of Medicine logo image name image size image alt caption established 1978 type State school Public endowment dean Philip C. Bagnell, M.D. president Paul E. Stanton, Jr., M.D. vice president vice chancellor faculty students ... area Rural website http www.etsu.edu com The James H. Quillen College of Medicine is a medical school ... Quillen , who led the fight to open a second public medical school in Tennessee. The school was originally named the ETSU Quillen Dishner College of Medicine, but Dr. Paul Dishner s name was removed in 1989 ... H. Quillen College of Medicine at East Tennessee State University is ranked sixth in the nation for excellence ... the top 10 schools in the country for rural medicine. Additionally, Quillen College of Medicine at East ... s Best Graduate Schools for ranking 20th in the nation for family medicine education. Quillen has also been recognized by the American Academy of Family Physicians recognized Quillen as one of the top ... by a professor of health policy, Fitzhugh Mullan, ranked East Tennessee State University s James H. Quillen ... Hospitals Bristol Regional Medical Center James H. Quillen Veterans Affairs Medical Center Johnson ... school. ref Williams, p. 230 ref Other early supporters included U.S. Representative Jimmy Quillen .... Congressman Quillen claimed to have introduced an amendment, which required that any university ... funds under the Teague Cranston Act, with Quillen working with the State Board of Regents ..., Jr., http tennesseeencyclopedia.net entry.php?rec 1092 Quillen College of Medicine . Tennessee ... for the school continued to reverberate through Tennessee politics. Quillen never forgave former ... ran for a second term in 1986, Quillen saw that Dunn s Republican support in East Tennessee was weak ... www.etsu.edu com ETSU Quillen College of Medicine coord missing Tennessee DEFAULTSORT East Tennessee State University James H. Quillen College Of Medicine Category Schools of medicine in Tennessee Category ...   more details



  1. Daniel Larsson

    Daniel Larsson may refer to Daniel Larsson ice hockey Daniel Larsson footballer Daniel Larsson darts player hndis Larsson, Daniel de Daniel Larsson sv Daniel Larsson ...   more details



  1. Daniel Weiss

    Daniel Weiss may refer to Daniel Weiss ice hockey Daniel Weiss Lafayette College Daniel Weiss figure skater hndis Weiss, Daniel de Daniel Weiss it Daniel Weiss ...   more details



  1. Daniel Levine

    Daniel Levine may refer to Daniel Levine composer Daniel Levine actor Daniel Levine pilot See also Daniel Levin disambiguation hndis Levine, Daniel ...   more details



  1. Daniel Levin

    Daniel Levin may refer to Daniel Levin attorney Daniel Levin writer , American attorney and novelist See also Daniel Levine disambiguation Daniel Lewin hndis Levin, Daniel ...   more details



  1. Daniel Elliot

    Daniel Elliot may refer to Daniel Giraud Elliot intitle Daniel Elliot intitle Daniel Elliott Daniel Eliott Dan Elliott , anchor hndis Elliot, Daniel ...   more details



  1. Daniel Fernandes

    Daniel Fernandes may refer to Daniel Fernandes judoka , French Olympic judoka Daniel Fernandes footballer , Canadian born Portuguese footballer See also Daniel Fernandez disambiguation hndis Fernandes, Daniel DEFAULTSORT Fernandes, Daniel fr Daniel Fernandes ...   more details



  1. Daniel Carlsson

    Daniel Carlsson may refer to Daniel Carlsson rally driver born 1976 , rally car driver from Sweden Daniel Carlsson swimmer born 1976 , former swimmer from Sweden See also Daniel Carlson disambiguation Daniel Karlsson hndis Carlsson, Daniel de Daniel Carlsson fr Daniel Carlsson sv Daniel Carlsson ...   more details



  1. Daniel Boucher

    Daniel Boucher may refer to Daniel Boucher academic , professor of Buddhist studies at Cornell University Daniel Boucher musician , Qu b cois musician hndis Boucher, Daniel DEFAULTSORT Boucher, Daniel ...   more details



  1. Daniel Fisher

    Daniel Fisher may refer to Daniel Fisher of The Cooper Temple Clause Daniel Fisher minister Daniel Fisher psychiatrist hndis Fisher, Daniel ...   more details



  1. Ronald Daniel

    Ronald Daniel may refer to Ron Daniel Ron Daniel businessman Ronald Daniel police commissioner of the Baltimore Police Department See also Ronald Daniels disambiguation hndis Daniel, Ronald ...   more details



  1. Daniel Carlson

    Daniel Carlson may refer to Daniel Carlson, namesake of the USS Carlson DE 9 Dan Carlson See also Daniel Carlsson disambiguation Daniel Karlsson hndis Carlson, Daniel ...   more details



  1. Daniel Dulany

    Daniel Dulany may refer to Daniel Dulany the Elder 1685 1753 Daniel Dulany the Younger 1722 1797 See also Daniel Dulany Addison , American clergyman and writer Daniel Delany , bishop hndis name Dulany, Daniel ...   more details




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