Herbert Wilf

Herbert Saul Wilf
BornJune 13, 1931
Philadelphia, Pennsylvania, U.S.
DiedJanuary 7, 2012(2012-01-07) (aged 80)
Wynnewood, Pennsylvania, U.S.
Alma materColumbia University
Massachusetts Institute of Technology
Known forCombinatorics
Wilf equivalence
Wilf number
Wilf's sequence
Wilf–Zeilberger pair
Calkin–Wilf tree
Stanley–Wilf conjecture
Szekeres–Wilf number
AwardsLeroy P. Steele Prize (1998)
Euler Medal (2002)
Scientific career
FieldsMathematician
InstitutionsUniversity of Pennsylvania
ThesisThe Transmission of Neutrons in Multilayered Slab Geometry (1958)
Doctoral advisorHerbert Ellis Robbins
Doctoral studentsFan Chung
Richard Garfield
Rodica Simion
E. Roy Weintraub
Michael Wertheimer

Herbert Saul Wilf (June 13, 1931 – January 7, 2012) was an American mathematician, specializing in combinatorics and graph theory. He was the Thomas A. Scott Professor of Mathematics in Combinatorial Analysis and Computing at the University of Pennsylvania. He wrote numerous books and research papers. Together with Neil Calkin he founded The Electronic Journal of Combinatorics in 1994 and was its editor-in-chief until 2001.

Biography

Wilf was the author of numerous papers and books, and was adviser and mentor to many students and colleagues. His collaborators include Doron Zeilberger and Donald Knuth. One of Wilf's former students is Richard Garfield, the creator of the collectible card game Magic: The Gathering. He also served as a thesis advisor for E. Roy Weintraub in the late 1960s.

Wilf died of a progressive neuromuscular disease in 2012.[1]

Awards

In 1996, Wilf received the Deborah and Franklin Haimo Award for Distinguished College or University Teaching of Mathematics.[2]

In 1998, Wilf and Zeilberger received the Leroy P. Steele Prize for Seminal Contribution to Research for their joint paper, "Rational functions certify combinatorial identities" (Journal of the American Mathematical Society, 3 (1990) 147–158).[3] The prize citation reads: "New mathematical ideas can have an impact on experts in a field, on people outside the field, and on how the field develops after the idea has been introduced. The remarkably simple idea of the work of Wilf and Zeilberger has already changed a part of mathematics for the experts, for the high-level users outside the area, and the area itself." Their work has been translated into computer packages that have simplified hypergeometric summation.

In 2002, Wilf was awarded the Euler Medal by the Institute of Combinatorics and its Applications.

Selected publications

  • Wilf, Herbert S. (1961). "Perron-Frobenius theory and the zeroes of polynomials". Proc. Amer. Math. Soc. 12 (2): 247–250. doi:10.1090/s0002-9939-1961-0120352-5. MR 0120352.
  • Wilf, Herbert S. (1961). "The argument of an entire function". Bull. Amer. Math. Soc. 67 (5): 488–489. doi:10.1090/s0002-9904-1961-10649-6. MR 0131549.
  • Wilf, H. S. (February 1961). "The Possibility of Tschebycheff Quadrature on Infinite Intervals". Proc Natl Acad Sci U S A. 47 (2): 209–213. Bibcode:1961PNAS...47..209W. doi:10.1073/pnas.47.2.209. PMC 221658. PMID 16590820.
  • Szekeres, G.; Wilf, Herbert S. (January 1968). "An inequality for the chromatic number of a graph". Journal of Combinatorial Theory. 4 (1): 1–3. doi:10.1016/S0021-9800(68)80081-X.
  • 1971: (editor with Frank Harary) Mathematical Aspects of Electrical Networks Analysis, SIAM-AMS Proceedings, Volume 3,American Mathematical Society MR0329788
  • 1998: (with N. J. Calkin) "The Number of Independent Sets in a Grid Graph", SIAM Journal on Discrete Mathematics

Books

Lecture notes

See also

References

  1. ^ "In Memoriam: Herbert S. Wilf". Math.upenn.edu. 1931-06-13. Archived from the original on 2012-01-20. Retrieved 2012-01-14.
  2. ^ "Recipients of the Deborah and Franklin Tepper Haimo Award for Distinguished College or University Teaching of Mathematics; Mathematical Association of America". www.maa.org. Archived from the original on 2024-06-08.
  3. ^ Wilf, Herbert S.; Zeilberger, Doron (1990). "Rational functions certify combinatorial identities". Journal of the American Mathematical Society. 3 (1): 147–158. doi:10.1090/S0894-0347-1990-1007910-7. ISSN 0894-0347.
  4. ^ Hayman, W. K. (1991). "Review: Generatingfunctionology, by H. S. Wilf". Bull. Amer. Math. Soc. (N.S.). 25 (1): 104–106. doi:10.1090/s0273-0979-1991-16036-2.
  5. ^ Ricardo, Henry (April 22, 2006). "Review of generatingfunctionology, 3rd edition". MAA Reviews, Mathematical Association of America.
  6. ^ Whitehead Jr., Earl Glen (1976). "Book Review: Combinatorial algorithms". Bulletin of the American Mathematical Society. 82 (6): 870–872. doi:10.1090/S0002-9904-1976-14187-0. ISSN 0002-9904.

Read other articles:

Nautisme (voile)

Pour les articles homonymes, voir Nautisme et Voile. Si ce bandeau n'est plus pertinent, retirez-le. Cliquez ici pour en savoir plus. La mise en forme de cet article est à améliorer (décembre 2020). La mise en forme du texte ne suit pas les recommandations de Wikipédia : il faut le « wikifier ». Si ce bandeau n'est plus pertinent, retirez-le. Cliquez ici pour en savoir plus. Certaines informations figurant dans cet article ou cette section devraient être mieux reliées ...

 

Dayton's

Defunct American department store This article is about a former group of department stores. For the parent company formed by the 1969 merger with Hudson's, see Target Corporation. Dayton'sLogo in 1974, featuring amaranth[1] mark used from 1968 to 1989IndustryDepartment storeFoundedJune 24, 1902; 121 years ago (1902-06-24)Minneapolis, MinnesotaFounderGeorge Draper DaytonDefunctJanuary 12, 2001; 23 years ago (January 12, 2001)FateLocations rebranded as Ma...

 

Laugerie-Basse

Cave and archaeological site in France This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Laugerie-Basse – news · newspapers · books · scholar · JSTOR (October 2021) (Learn how and when to remove this template message) The Abri of Laugerie BasseThe Abri of Laugerie BasseLocation in FranceShow map of AquitaineLa...

Porpoise (scuba gear)

Australian scuba manufacturer An example of the world's first commercially available, single hose SCUBA unit designed and manufactured by Ted Eldred in 1952. Porpoise is a tradename for scuba developed by Ted Eldred in Australia and made there from the late 1940s onwards. The first Porpoise was a closed circuit oxygen rebreather, and the following models were all single hose open circuit regulators. Rebreather The Porpoise oxygen rebreather was developed by Ted Eldred in the late 1940s and ea...

 

Ligao

Component city in Albay, Philippines This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Ligao – news · newspapers · books · scholar · JSTOR (September 2018) (Learn how and when to remove this message) Component city in Bicol Region, PhilippinesLigaoComponent cityCity of LigaoLigao City Hall FlagSealNickname:...

 

Daniel Colindres

Daniel Colindres Saprissa 1-1 Herediano. Hari 19, 2017 Kejuaraan Pembukaan BP. Stadion Ricardo Saprissa, 5 November 2017. Foto: Jose Campos.Informasi pribadiNama lengkap Daniel ColindresTanggal lahir 10 Januari 1985 (umur 39)Tempat lahir Alajuela, Kosta RikaTinggi 180 cm (5 ft 11 in)Posisi bermain PenyerangInformasi klubKlub saat ini SaprissaNomor 26Karier senior*Tahun Tim Tampil (Gol)2009 – Saprissa 234 (55)Tim nasional2011 – Kosta Rika 15 (0) * Penampilan dan gol di...

2008 United States presidential election in Maine

Election in Maine Main article: 2008 United States presidential election 2008 United States presidential election in Maine ← 2004 November 4, 2008 2012 →   Nominee Barack Obama John McCain Party Democratic Republican Home state Illinois Arizona Running mate Joe Biden Sarah Palin Electoral vote 4 0 Popular vote 421,923 295,273 Percentage 57.71% 40.38% County Results Congressional District Results Municipality Results Obama   40-50%  ...

 

Komando Distrik Militer 1807

Komando Distrik Militer 1807/Sorong SelatanLambang Korem 181/Praja Vira TamaDibentuk2 Agustus 2020Negara IndonesiaAliansiKorem 181/PVTCabangTNI Angkatan DaratTipe unitKodimPeranSatuan TeritorialBagian dariKodam XVIII/KSRMakodimSorong Selatan, Papua Barat DayaPelindungTentara Nasional IndonesiaMotoMkhafuk MananagoBaret H I J A U MaskotKakatua Jambul KuningTokohKomandanLetkol Inf. Ronald Michael Komando Distrik Militer 1807/Sorong Selatan (disingkat Kodim 1807/Sorsel) merupakan s...

 

1860 Rhode Island gubernatorial election

Rhode Island gubernatorial election 1860 Rhode Island gubernatorial election ← 1859 April 4, 1860 1861 →   Nominee William Sprague IV Seth Padelford Party Democratic Republican Alliance Conservative Popular vote 12,278 10,740 Percentage 53.02% 46.38% Governor before election Thomas G. Turner Republican Elected Governor William Sprague IV Democratic Elections in Rhode Island Federal government Presidential elections 1792 1796 1800 1804 1808 1812 1816 1820 1824 1...

Sekolah Tinggi Ilmu Hukum Sumpah Pemuda

Artikel ini tidak memiliki referensi atau sumber tepercaya sehingga isinya tidak bisa dipastikan. Tolong bantu perbaiki artikel ini dengan menambahkan referensi yang layak. Tulisan tanpa sumber dapat dipertanyakan dan dihapus sewaktu-waktu.Cari sumber: Sekolah Tinggi Ilmu Hukum Sumpah Pemuda – berita · surat kabar · buku · cendekiawan · JSTOR Sekolah Tinggi Ilmu Hukum Sumpah PemudaMotoNew Spirit for JusticeJenisPerguruan tinggi swastaDidirikan28 Oktobe...

 

Emma Calvé

French operatic soprano (1858-1942) This article includes a list of general references, but it lacks sufficient corresponding inline citations. Please help to improve this article by introducing more precise citations. (February 2013) (Learn how and when to remove this message) Emma CalvéEmma Calvé as CarmenBornRosa Emma Calvet(1858-08-15)15 August 1858Decazeville, AveyronDied6 January 1942(1942-01-06) (aged 83)Montpellier, HéraultNationalityFrenchOccupationOperatic dramatic sopranoSp...

 

ساتورن I

ساتورن I ساتورن 1 (بالإنجليزية:Saturn I) هو أول صاروخ نقل للولايات المتحدة الأمريكية، قامت بتصميمه بغرض نقل الحمولات إلى مدار حول الأرض.[1][2][3] وصمم الصاروخ بحيث يجمع عددا من المحركات الصاروخية لزيادة قوة دفعه.وقد أثبت هذا التصميم جدواه حيث أعطي حرية كبيرة بالنسبة إ�...

French Guinea

French colony in West Africa (1891-1958); now the country of Guinea For the overseas department of France in South America, see French Guiana. French GuineaGuinée française (French)Constituent of French West Africa1891–1958 FlagGreen: French GuineaLime: French West AfricaDark gray: Other French possessionsDarkest gray: French RepublicAnthemLa MarseillaiseCapitalConakryGovernmentGovernor • 1891-1900 Noël Ballay• 1956-1958 Jean Ramadier History • Establi...

 

North East Ambulance Service

UK public sector ambulance service North East Ambulance Service NHS Foundation TrustArea served by the North East Ambulance ServiceTypeNHS foundation trustEstablished1 July 2006HeadquartersNewcastle Upon TyneRegion servedNorth East EnglandArea size3,200 square milesPopulation2.6 millionChairPeter StrachanChief executiveHelen RayStaff2,635 (2019/20)[1]Websitewww.neas.nhs.uk The North East Ambulance Service NHS Foundation Trust (NEAS) is an NHS foundation trust responsible for prov...

 

United Nations Security Council Resolution 1161

United Nations Security Council resolution United Nations resolution adopted in 1998 UN Security CouncilResolution 1161Mount Kigali in the Rwandan capital KigaliDate9 April 1998Meeting no.3,870CodeS/RES/1161 (Document)SubjectThe situation concerning RwandaVoting summary15 voted forNone voted againstNone abstainedResultAdoptedSecurity Council compositionPermanent members China France Russia United Kingdom United StatesNon-permanent members Bahrain Brazil...

1st Agricultural Construction Division (People's Republic of China)

2nd Independent Corps of Northwestern Military Region(1949–50)1st Independent Division of Ninxia Military District (1950–53)1st Agricultural Construction Division (1953–56)Active1949.12 - 1956CountryPeople's Republic of ChinaBranchPeople's Liberation Army Ground ForceTypeDivisionRoleInfantryPart ofNorthwestern Military RegionGarrison/HQZhongwei, NingxiaMilitary unit 2nd Independent Corps of Northwestern Military Region (Chinese: 西北军区独立第2军) was formed on December...

 

PostgreSQL

Artikel ini menggunakan kata-kata yang berlebihan dan hiperbolis tanpa memberikan informasi yang jelas. Silakan buang istilah-istilah yang hiperbolis tersebut. (Pelajari cara dan kapan saatnya untuk menghapus pesan templat ini) PostgreSQL TipeSistem manajemen basis data relasional, SQL server (en) dan perangkat lunak bebas BerdasarkanPOSTGRES (en) Versi pertama1996 Versi stabil 16.4 (8 Agustus 2024) Versi sebelumnya 17 beta 3 (8 Agustus 2024) GenreORDBMSLisensiPostgreSQL licence[1] ...

 

Mira Jalosuo

Finnish ice hockey player and coach Ice hockey player Mira Jalosuo Born (1989-02-03) 3 February 1989 (age 35)Lieksa, FinlandHeight 183 cm (6 ft 0 in)Weight 84 kg (185 lb; 13 st 3 lb)Position DefenseShot RightPlayed for Oulun KärpätMinnesota WhitecapsLuleå HF/MSSKSKIF Nizhny NovgorodMinnesota Golden GophersCurrent PWHL coach PWHL MinnesotaCoached for St. Cloud State HuskiesPWHPA MinnesotaStillwater PoniesHamline PipersWayzata TrojansNational team ...

Apple M1 Ultra

Apple M1 Ultra 生産時期 2022年3月8日から設計者 Apple生産者 TSMCマイクロアーキテクチャ 「Firestorm」と「Icestorm」命令セット ARMv8.5-Aコア数 20コア（高性能コア×16 + 高効率コア×4）GPU Apple独自設計 48 / 64コアテンプレートを表示Apple M1 Ultraは、AppleがMac向けにARMアーキテクチャのライセンスを受けて設計したシステムオンチップ（SoC）である。TSMCの5nmプロセスで製造されている�...

 

Gobernación del Tucumán

Gobernación del TucumánProvincia del Tucumán, Juríes y Diaguitas Gobernación 1550-1782(1549-1784) Bandera Gobernación del Tucumán ca. 1600.Capital • Santiago del Estero (1549-1700)• Salta (1700-1782)• San Miguel del Tucumán (desde 1783, de facto)Entidad Gobernación • País Imperio español • Virreinato Perú (hasta 1776)Río de la Plata • Gobernación Chile (1550-1563) • Real audiencia (distrito judicial) Lima (hasta 1561/1563)CharcasB...