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American mathematician
Herbert Saul Wilf (June 13, 1931 – January 7, 2012) was an American mathematician, specializing in combinatorics and graph theory. He was the Thomas A
Herbert_Wilf
Binary tree of rational numbers
can be computed by the fusc function. The Calkin–Wilf tree is named after Neil Calkin and Herbert Wilf, who considered it in a 2000 paper. In a 1997 paper
Calkin–Wilf_tree
Name list
Wilf Herbert Wilf (1931–2012), American mathematician Joseph Wilf (1925–2016), Polish-born American businessman, brother of Harry Wilf Leonard Wilf, American
Wilf
Theorem that the growth rate of every proper permutation class is singly exponential
The Stanley–Wilf conjecture, formulated independently by Richard P. Stanley and Herbert Wilf in the late 1980s, states that the growth rate of every proper
Stanley–Wilf_conjecture
American mathematician
from the University of Pennsylvania in 1974, under the direction of Herbert Wilf. After working at Bell Laboratories and Bellcore for nineteen years,
Fan_Chung
English mathematician
with Herbert Wilf he founded The Electronic Journal of Combinatorics in 1994. He and Wilf developed the Calkin–Wilf tree and the associated Calkin–Wilf sequence
Neil_J._Calkin
Result on periodic sequences
single letter. The theorem was introduced in 1963 by Nathan Fine and Herbert Wilf. It is easy to prove, and has uses across theoretical computer science
Fine_and_Wilf's_theorem
American game designer (born 1963)
Pennsylvania, studying combinatorial mathematics. Garfield studied under Herbert Wilf and earned a Ph.D. in 1993 with a thesis titled On the Residue Classes
Richard_Garfield
American mathematician (1906–1996)
doctorate work. These would be further elaborated by Doron Zeilberger and Herbert Wilf into "WZ theory", which allowed computerized proof of many combinatorial
Mary_Celine_Fasenmyer
Academic journal
in combinatorial mathematics. The journal was established in 1994 by Herbert Wilf (University of Pennsylvania) and Neil Calkin (Georgia Institute of Technology)
Electronic Journal of Combinatorics
Electronic_Journal_of_Combinatorics
Name list
English rugby league player Herbert Wilf (1931–2012), American mathematician Herbert Wilk (1905–1977), German actor Herbert L. Wilkerson (1919–2021), United
Herbert_(given_name)
Pair of functions in combinatorics
certify certain combinatorial identities. WZ pairs are named after Herbert S. Wilf and Doron Zeilberger, and are instrumental in the evaluation of many
Wilf–Zeilberger_pair
American mathematician
combinatorial algorithms given by Herbert Wilf. During that semester, Bayer related several original ideas to Wilf on the subject. These contributions
Dave_Bayer
Subpermutation of a longer permutation
and Herbert Wilf conjectured that for every permutation β, there is some constant K such that |Avn(β)| < Kn. This was known as the Stanley–Wilf conjecture
Permutation_pattern
Formula whose values are the prime numbers
p_{5}=1+1+1+1+1+1+1+1+1+1+1+0+0+\dots +0=11.} The articles What is an Answer? by Herbert Wilf (1982) and Formulas for Primes by Underwood Dudley (1983) have further
Formula_for_primes
Israeli mathematician
page. Zeilberger received a Lester R. Ford Award in 1990. Together with Herbert Wilf, Zeilberger was awarded the American Mathematical Society's Leroy P.
Doron_Zeilberger
American mathematician
Herbert Ellis Robbins (January 12, 1915 – February 12, 2001) was an American mathematician and statistician. He did research in topology, measure theory
Herbert_Robbins
Overview of and topical guide to combinatorics
Thomassen Jacques Touchard Pál Turán Bartel Leendert van der Waerden Herbert Wilf Richard Wilson Doron Zeilberger Category:Combinatorialists Advances in
Outline_of_combinatorics
American mathematician (born 1971)
Robertson's research is a paper co-authored with Doron Zeilberger and Herbert Wilf titled Permutation Patterns and Continued Fractions. In the paper, they
Aaron Robertson (mathematician)
Aaron_Robertson_(mathematician)
American mathematician and philosopher (born 1942)
constantly force me to the dictionary to relearn the meaning of quotidian." Wilf, Herbert S. (1996). "Marcel-Paul Schützenberger (1920–1996)". Electronic Journal
David_Berlinski
American computer scientist and mathematician (born 1938)
In 1995, Knuth wrote the foreword to the book A=B by Marko Petkovšek, Herbert Wilf and Doron Zeilberger. He also occasionally contributes language puzzles
Donald_Knuth
Function defined by a hypergeometric series
Hypergeometric Functions (University of Oxford, MSc Thesis) Marko Petkovsek, Herbert Wilf and Doron Zeilberger, The book "A = B" (freely downloadable) Weisstein
Hypergeometric_function
(1880–1960) Mary Shore Walker (1882–1952) William C. Waterhouse (1941–2016) Herbert Wilf (1931–2012) J. Ernest Wilkins, Jr. (1923–2011) Amie Wilkinson (b. 1968)
List of American mathematicians
List_of_American_mathematicians
American mathematician (born 1943)
University of Pennsylvania. His Ph.D. thesis advisors were Lawrence Klein and Herbert Wilf. He lives with his family in Durham, North Carolina. His papers have
E._Roy_Weintraub
Slovenian mathematician (1955–2023)
for Petkovšek's algorithm, and for the book that he coauthored with Herbert Wilf and Doron Zeilberger, A = B. Petkovšek was born in 1955 in Ljubljana
Marko_Petkovšek
International scientific organization
Doron Zeilberger, Zhu Lie 2003 Peter Cameron, Charles Colbourn 2002 Herbert Wilf 2001 Spyros Magliveras 2000 Richard A. Brualdi, Horst Sachs 1999 D. K
Institute of Combinatorics and its Applications
Institute_of_Combinatorics_and_its_Applications
Collection of residue classes
are composite numbers. For instance, a sequence of this type found by Herbert Wilf has initial terms a1 = 20615674205555510, a2 = 3794765361567513 (sequence
Covering_system
permutations is called proper. In the late 1980s, Richard Stanley and Herbert Wilf conjectured that for every proper permutation class C {\displaystyle
Permutation_class
Sequence of integer free of any prime number
was published by Ronald Graham in 1964. A primefree sequence found by Herbert Wilf has initial terms a 1 = 20615674205555510 , a 2 = 3794765361567513 {\displaystyle
Primefree_sequence
Equalities involving sums over the coefficients occurring in hypergeometric series
Indefinite sums: Gosper's algorithm The book A = B by Marko Petkovšek, Herbert Wilf and Doron Zeilberger describes the three main approaches mentioned above
Hypergeometric_identity
Count of permutations by cycles
the second kind Stirling polynomials Random permutation statistics Wilf, Herbert S. (1990). Generatingfunctionology. San Diego, CA, USA: Academic Press
Stirling numbers of the first kind
Stirling_numbers_of_the_first_kind
Whitney David Widder Harold Widom Norbert Wiener Avi Wigderson Mark Wilde Herbert Wilf Alex Wilkie Yorick Wilks Hugh C. Williams Ruth J. Williams Robert Arnott
List of people by Erdős number
List_of_people_by_Erdős_number
American mathematician (1921–2005)
MR 0232694 1969: Graph Theory, Addison–Wesley MR 0256911 1971: (editor with Herbert Wilf) Mathematical Aspects of Electrical Networks Analysis, SIAM-AMS Proceedings
Frank_Harary
Formal power series
clothesline on which we hang up a sequence of numbers for display. — Herbert Wilf, Generatingfunctionology (1994) Unlike an ordinary series, the formal
Generating_function
Awarded every year by the American Mathematical Society
63 (1): 20–63. doi:10.2307/1969989. JSTOR 1969989. Zbl 0070.38603. Wilf, Herbert S.; Zeilberger, Doron (1990). "Rational functions certify combinatorial
Leroy_P._Steele_Prize
Romanian-American mathematician
University of Pennsylvania, earning a Ph.D. in 1981 under the supervision of Herbert Wilf. After teaching at Southern Illinois University and Bryn Mawr College
Rodica_Simion
Prize in Physics (1963) Ernest Julius Wilczynski (1876–1932), geometer Herbert Wilf (1931–2012), combinatorics and graph theory Aurel Wintner (1903–1958)
List_of_Jewish_mathematicians
Ivorian footballer (born 1992)
22 January 2025. Retrieved 6 March 2025. L. White, Herbert (4 March 2025). "Hungry like the Wilf: Wilfried Zaha shows winning form". Charlotte Post.
Wilfried_Zaha
French mathematician (1920–1996)
Complete Works of Marcel-Paul Schützenberger: Complete Works Jeu de taquin Herbert Wilf, Dominique Foata, et al., "In Memoriam: Marcel-Paul Schützenberger, 1920-1996
Marcel-Paul_Schützenberger
American mathematics teaching awards
and David S. Moore 1996: Thomas Banchoff, Edward M. Landesman, and Herbert Wilf 1997: Carl C. Cowen, Carl Pomerance, and T. Christine Stevens 1998: Colin
Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics
Deborah_and_Franklin_Haimo_Awards_for_Distinguished_College_or_University_Teaching_of_Mathematics
Root-finding algorithm for polynomials
algorithm – similar method which uses circles instead of rectangles Herbert S. Wilf (July 1978), "A Global Bisection Algorithm for Computing the Zeros
Wilf's global bisection algorithm
Wilf's_global_bisection_algorithm
Iranian mathematician (1943–2024)
University of Pennsylvania Scientific career Thesis A Critical Case Method of Proof in Combinatorial Mathematics (1975) Doctoral advisor Herbert Wilf
Ebadollah_S._Mahmoodian
Mathematical function
general theorems about zeros of the Riesz function proved in 1964 by Herbert Wilf. A plot for the range 0 to 50 is given above. So far as it goes, it does
Riesz_function
Pawsey, 88, English rugby league player. Henri Puppo, 98, French cyclist. Herbert Wilf, 80, American mathematician. Jan Håkan Åberg, 95, Swedish organist and
Deaths_in_January_2012
2012 British comedy-drama film directed by Dustin Hoffman
the real-life Casa di Riposo per Musicisti founded by Giuseppe Verdi, Reg, Wilf and Cissy are retired opera singers who had often worked together. Among
Quartet_(2012_film)
Measurement of graph sparsity
essentially the same as the coloring number or Szekeres–Wilf number (named after Szekeres and Wilf (1968)). The k {\displaystyle k} -degenerate graphs have
Degeneracy_(graph_theory)
Summation method for hypergeometric terms
Macsyma computer algebra system at SAIL and MIT. Petkovšek, Marko; Wilf, Herbert; Zeilberger, Doron (1996). A = B. A K Peters Ltd. ISBN 1-56881-063-6
Gosper's_algorithm
English rugby union & league player and coach
Frederic Wilfrid "Wilf" Hoyle Auty (28 February 1881 – 15 February 1951), also known by the nickname of "The Emperor", was an English rugby union, and
Wilf_Auty
Welsh cyclist
Wilfred Herbert Charles Bodman (born c.1933) is a former racing cyclist from Wales, who represented Wales at the British Empire Games (now Commonwealth
Wilf_Bodman
Dutch-American mathematician
Nijenhuis, Albert; Wilf, Herbert S (1975). Combinatorial Algorithms. Academic Press. ISBN 0-12-519250-9. Nijenhuis, Albert; Wilf, Herbert S (1978). Combinatorial
Albert_Nijenhuis
Academic mathematics journal
Palka 1997–2001: Roger A. Horn 1992–1996: John H. Ewing 1987–1991: Herbert S. Wilf 1982–1986: Paul Richard Halmos 1978–1981: Ralph Philip Boas, Jr. 1977–1978:
The American Mathematical Monthly
The_American_Mathematical_Monthly
Canadian politician
University of Sudbury. "Obituary - Wilf, Ontario Politician, age 92". Genealogy.com. February 20, 2001. Richardson, Arthur Herbert (1974). The History of the
Wilf_Spooner
more year after this success, leaving his managerial duties to club trainer Wilf McGuinness. McGuinness struggled in his new post, however, and Busby was
List of Manchester United F.C. managers
List_of_Manchester_United_F.C._managers
American actor, casting director (1925–1999)
Herbert Birchell Remsen (February 25, 1925 – April 22, 1999) was an American actor and casting director. He appeared in numerous films and television
Bert_Remsen
British actor (born 1946)
Alexandra Moen, Lucy Saxon, Catherine Tate, Donna Noble, Bernard Cribbins, Wilf, Comic-Con". Archived from the original on 27 August 2009. Retrieved 1 August
Timothy_Dalton
Field of combinatorics using complex analysis
(1975). Orthogonal Polynomials (4th ed.). American Mathematical Society. Wilf, Herbert S. (2006). Generatingfunctionology (PDF) (3rd ed.). A K Peters, Ltd
Analytic_combinatorics
English cricketer
Retrieved 2 April 2010. "First-class Batting and Fielding in Each Season by Wilf Barber". CricketArchive. Retrieved 12 February 2010. "Wilfred Barber". Wisden
Wilf_Barber
English actress (born 1935)
Archived from the original on 23 April 2009. Retrieved 2 October 2007. Wilf Arasaratnam (29 December 2013). "Cinderella (Lowestoft)". WhatsOnStage.com
Amanda_Barrie
Jenna Russell (Deborah Gilder), Maggie Steed (Phyllis Woolf), John Henshaw (Wilf Bradshaw), Naomi Radcliffe (Jean Bradshaw), Charlotte Salt (Helen Gilder)
List of Born and Bred episodes
List_of_Born_and_Bred_episodes
English cricketer (1877–1973)
used his great experience effectively. The success of Percy Holmes and Herbert Sutcliffe as opening batsmen meant that, although Rhodes began the season
Wilfred_Rhodes
Television series
worked for Herbert for many years. She is distinguished by her white turban and hair curler. It is thought that she and Herbert had an affair. Wilf (Peter
Odd Man Out (British TV series)
Odd_Man_Out_(British_TV_series)
Canadian football League executive
Arthur Herbert Warwick (March 1901 – June 16, 1963) was a Canadian Football League head coach, league executive, and a member of the Canadian Football
Bert_Warwick
Apartment building in Manhattan, New York
Express Mark Rockefeller Vera Wang Thomas J. Watson, co-founder of IBM Zygi Wilf Gray, Christopher (June 8, 2003). "Streetscapes/770 and 778 Park Avenue,
778_Park_Avenue
English actor (1922–2011)
Sea Wolves (1980) - Malverne Coronation Street (1981-1982, 16 episodes) - Wilf Stockwell Letters from the East (1995) - Juri Hitler: The Rise of Evil (2003
Terence_Longdon
Association football club in England
being replaced by the reserve team coach, former Manchester United player Wilf McGuinness. Following an eighth-place finish in the 1969–70 season and a
Manchester_United_F.C.
1956–1962 Eugenio Calabi, 1967–1993 Shmuel Weinberger, 1994–1996 Herbert S. Wilf, 1998–2006 Charles Epstein, 2008–2021 Ron Donagi, 2021–Present Thomas
Thomas A. Scott Professorship of Mathematics
Thomas_A._Scott_Professorship_of_Mathematics
"Peter McWilliam managerial stats". Soccerbase. Retrieved 13 November 2013. "Wilf Gillow managerial stats". Soccerbase. Retrieved 13 November 2013. "David
List of Middlesbrough F.C. managers
List_of_Middlesbrough_F.C._managers
Undecidability of equality of real numbers
(7): 2235–2240. doi:10.1090/S0002-9939-02-06753-9. Petkovšek, Marko; Wilf, Herbert S.; Zeilberger, Doron (1996). A = B. A. K. Peters. p. 212. ISBN 1-56881-063-6
Richardson's_theorem
One of several theorems in different areas of mathematics
Mathematics. 29 (6): 761–772. doi:10.4310/AJM.260122041921. ISSN 1945-0036. Herbert S. Wilf (1994). generatingfunctionology. Academic Press. Shiing-Shen Chern
Schur's_theorem
On finite sums of products of three binomial coefficients, and a hypergeometric sum
Jovan (2016). "A proof of Dixon's identity". J. Int. Seq. 19: #16.5.3. Wilf, Herbert S. (1994), Generatingfunctionology (2nd ed.), Boston, MA: Academic Press
Dixon's_identity
English actor and comedian (1915–1979)
(ITV) – 1st Singing Caveman / Guest / 2nd Dart player Odd Man Out (1977) – Wilf Dad's Army, "The Face on the Poster" (1975) (BBC TV) – Mr. Bugden Carry On
Peter_Butterworth
American heavy metal singer (1942–2010)
Ronnie James Dio". USA Today. June 17, 2002. Retrieved June 26, 2013. Herbert, Geoff (July 26, 2021). "Ronnie James Dio autobiography chronicles his
Ronnie_James_Dio
American geneticist
Harvard School of Public Health Thesis Packing densities of layered patterns (1997) Doctoral advisor Herbert Saul Wilf Doctoral students Hilary Finucane
Alkes_Price
British actor (1908–1965)
Lumsden The Ugly Duckling (1959) as Reginald Friends and Neighbours (1959) as Wilf Holmes Upstairs and Downstairs (1959) as Parson Expresso Bongo (1959) as
Reginald_Beckwith
British librarian and academic
(1956) compiled for the School Library Association by W.L. Saunders Schur, Herbert; Saunders, W.L. (1968). Education and training for scientific and technological
Wilfred_Saunders
Association football club in England
until 1954. The decade before the Second World War saw the emergence of Wilf Mannion and George Hardwick, both of whom would go on to become England internationals
Middlesbrough_F.C.
Port Vale 1928–29 football season
a damaging 7–1 loss at Preston North End in February. Season top scorer Wilf Kirkham led the line with 15 goals in league matches (and across all competitions)
1928–29_Port_Vale_F.C._season
American folk and punk musician (born 1991)
greats ... she also chisels her own name in the canon". Writing in Clash, Wilf Skinner commented that "August is best at its most meditative, even if its
Shannon_Lay
bones, and an autopsy on the bear revealed human remains. September 25, 1973 Wilf Etherington, 51, male Wild Canada, Banff National Park, Alberta — Etherington
List of fatal bear attacks in North America
List_of_fatal_bear_attacks_in_North_America
Parliamentary constituency in the United Kingdom, 1885–1974
and by July 1914, the following candidates had been selected; Liberal: Herbert Samuel Unionist: Park Goff Labour: Harry Dack General Election 1939–40:
Cleveland (UK Parliament constituency)
Cleveland_(UK_Parliament_constituency)
Dorcas Software 1984 Dark Star Design Design Simon Brattel 1984 Kokotoni Wilf Elite Systems Rory Green, Andy Williams, Neil Bate, Stephen Lockley 1984
List_of_ZX_Spectrum_games
Problem in geometric probability
1080/00029890.2008.11920598, JSTOR 27642611, MR 2463294 Scheinerman, Edward R.; Wilf, Herbert S. (1994), "The rectilinear crossing number of a complete graph and
Sylvester's four point problem
Sylvester's_four_point_problem
Mathematical formula for the number of Young tableaux
doi:10.1016/0097-3165(76)90065-0. Greene, Curtis; Nijenhuis, Albert; Wilf, Herbert S. (1979). "A probabilistic proof of a formula for the number of Young
Hook_length_formula
Count of the possible partitions of a set
Bibcode:1996MaCom..65..383W. doi:10.1090/S0025-5718-96-00683-7. MR 1325876. Wilf, Herbert S. (1994). Generatingfunctionology (PDF) (2nd ed.). Boston, MA: Academic
Bell_number
Tatrallyay Harvard University St Catherine's 1972 Canada Fencer and author Wilf Wedmann Simon Fraser University Merton 1972 Canada Olympic high jumper and
List_of_Rhodes_Scholars
Prime Minister of India from 1947 to 1964
Biography. Allied Publishers. pp. 266–268. ISBN 978-81-7023-369-5. Li, Jianglin; Wilf, Susan (2016). Tibet in agony : Lhasa 1959. Cambridge, Massachusetts: Harvard
Jawaharlal_Nehru
Association football club from the Edwardian era
club moved back south of the Thames, playing at Garratt Lane in Earlsfield. Wilf Waller, the club's first goalkeeper, who represented the Football Association
Richmond_Association_F.C.
Association. Archived from the original on 20 July 2022. Retrieved 26 April 2019. "Wilf Wild". League Managers Association. Archived from the original on 26 April
List of English football championship–winning managers
List_of_English_football_championship–winning_managers
Hyoie O'Grady as Lieutenant Judah Bixby Tom Duncan as Lieutenant Beautyman Wilf Scolding as Private Abraham Shaftstall Max Pemberton as Charlie Whelan Ben
List_of_Outlander_characters
Five coplanar points have a subset forming a convex quadrilateral
Online, archived from the original on 2013-07-02 Scheinerman, Edward R.; Wilf, Herbert S. (1994), "The rectilinear crossing number of a complete graph and
Happy_ending_problem
1958 novel by Barbara Pym
characters. The kleptomaniac Wilf Bason has to resign from the government ministry where Rodney works and she arranges for Wilf to become housekeeper at the
A_Glass_of_Blessings
Canadian cannabis rights activist and politician
MacDiarmid 4,936 40.32 $92,092 Green Jane Sterk 900 7.35 $7,773 Conservative Wilf Hanni 489 3.99 $6,886 Marijuana Jodie Emery 166 1.36 $430 Total valid votes
Jodie_Emery
PMC 2710637. Chung, Fan; Greene, Curtis; Hutchinson, Joan (April 2015). "Herbert S. Wilf (1931–2012)". Notices of the AMS. 62 (4): 358. doi:10.1090/noti1247
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Snowy/Dr Alexander Cobb Billy Dominick Felix Nurse Wallace Katie Grosset Wilf Frazer Scott Tug/Dr Terry Adam Sullivan Florence/Helen/Nurse Drummond Zoe
A_Soldier_and_a_Maker
Private university in Teaneck, New Jersey, US
Garrett, Tommy. "Who is the Minnesota Vikings owner? History of the Wilf family; Zygi Wilf is the owner of the Minnesota Vikings, but who is he, and does he
Fairleigh Dickinson University
Fairleigh_Dickinson_University
Welsh football club season
Sir Herbert Merrett Manager Cyril Spiers Division Two 2nd FA Cup 3rd round Welsh Cup 6th round Top goalscorer League: Wilf Grant (26) All: Wilf Grant
1951–52 Cardiff City F.C. season
1951–52_Cardiff_City_F.C._season
no runs were conceded). This record is shared by Englishmen A N Hornby, Wilf Barber and New Zealander, Bruce Murray who each took one wicket without conceding
List_of_Test_cricket_records
Scottish footballer (1940–2025)
Waterford United, Law finished as top scorer in the tournament with 9 goals. Wilf McGuinness took over as first team coach at the start of the 1969–70 season
Denis_Law
British politician (born 1946)
Commons, Straw (who has partial Jewish heritage) noted, according to Einat Wilf, a former member of Israel's Knesset who was one of the other panelists,
Jack_Straw
Association football club in England
Hunt 1971–72 season 1 18th (22) Ernie Hunt Ernie Hunt 12 45 Willie Carr 45 Wilf Smith 45 Roy Barry Texaco Cup Second round 1972–73 season 1 19th (22) Willie
Coventry_City_F.C.
HERBERT WILF
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