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A Riordan array is an infinite lower triangular matrix, D {\displaystyle D} , constructed from two formal power series, d ( t ) {\displaystyle d(t)} of
Riordan_array
American mathematician
Williams, and A. R. Orage. The Riordan array, introduced by mathematician Louis W. Shapiro, is named after John Riordan. From the Introduction by Marc Kac
John_Riordan_(mathematician)
American mathematician
on Riordan Arrays and Related Topics". 6th International Conference on Riordan Arrays and Related Topics. "5th International Conference on Riordan Arrays
Louis_Shapiro_(mathematician)
Topics referred to by the same term
Graphics Array Maritime and Coastguard Agency, in the United Kingdom Magnus Chase and the Gods of Asgard, a fantasy novel series by Rick Riordan. This disambiguation
MCGA
Identity involving binomial coefficients, first established by Zhi-Wei Sun in 2002
proof via generating functions; Merlini and Sprugnoli's proof using Riordan arrays; Ekhad and Mohammed's proof by the WZ method; Chu and Claudio's proof
Sun's_curious_identity
Infinite matrices with Pascal's triangle as elements
&1&5&10&10&5&1\end{smallmatrix}}\right].\end{array}}} Pascal's triangle LU decomposition Riordan Array Endl, Kurt (1956-12-01). "Über eine ausgezeichnete
Pascal_matrix
1991 American political thriller film directed by Oliver Stone
80–81. Riordan 1996, p. 360. Riordan 1996, p. 361. Riordan 1996, p. 365. Riordan 1996, p. 374. Stone 2000, p. 590. Riordan 1996, p. 363. Riordan 1996,
JFK_(film)
Numbers parameterizing ways to partition a set
Mathematica (Cluj) 9 (1935), pp, 164–178. Sprugnoli, Renzo (1994), "Riordan arrays and combinatorial sums" (PDF), Discrete Mathematics, 132 (1–3): 267–290
Stirling numbers of the second kind
Stirling_numbers_of_the_second_kind
operations. Jabotinsky matrices are a special case of the later introduced Riordan arrays. They are also related to Carleman linearization and Carleman (embedding)
Jabotinsky_matrix
Wahl & Riordan 2005, p. 1-160. Wahl & Riordan 2005, p. 1-178. Wahl & Riordan 2005, p. 1-45. Wahl & Riordan 2005, pp. 1–38, 1–40, 1–41. Wahl & Riordan 2005
List of military electronics of the United States: M–Z
List_of_military_electronics_of_the_United_States:_M–Z
Number of orderings allowing ties
doi:10.1080/00150517.1975.12430678, MR 0376367 Sprugnoli, Renzo (1994), "Riordan arrays and combinatorial sums", Discrete Mathematics, 132 (1–3): 267–290, doi:10
Ordered_Bell_number
For odd diameter D = 2 p + 1 {\displaystyle D=2p+1} : These form a Riordan array of coordination sequences Specific constructions have been developed
MaxDDBS
Middle grade novel series by Kwame Mbalia
also saying that it is "a worthy addition to the diverse array of offerings from Rick Riordan Presents." John Stephens of The New York Times said the book
Tristan_Strong_series
Converts light into current
Semimetals, Vol 22D. Elsevier. pp. 173–245. doi:10.1016/S0080-8784(08)62953-1. Riordan, Michael; Hoddeson, Lillian (1998). Crystal Fire: The Invention of the
Photodiode
2005 film
it a "poorly assembled, laughably bad, absolute waste of time". Annie Riordan of Brutal as Hell also rated it one star out of five and wrote that the
Beneath_Still_Waters
Matrix with symbols that each occur once per row and column
Brualdi 2010, p. 385 Dénes & Keedwell 1974, p. 150 Some authors, notably J. Riordan, do not require the first column to be in order and this will effect the
Latin_rectangle
2019 children's fantasy and mythology novel by Kwame Mbalia
called Tristan Strong "a worthy addition to the diverse array of offerings from Rick Riordan Presents." School Library Journal, also in a starred review
Tristan Strong Punches a Hole in the Sky
Tristan_Strong_Punches_a_Hole_in_the_Sky
Branch of physics and electrical engineering
the original on 5 November 2020. Retrieved 22 August 2019. Huff, Howard; Riordan, Michael (1 September 2007). "Frosch and Derick: Fifty Years Later (Foreword)"
Electronics
Very pure silicon obtained by vertical zone melting
solar arrays of satellites as it has higher conversion efficiency. Bridgman–Stockbarger method Micro-pulling-down Laser-heated pedestal growth Riordan, Michael
Float-zone_silicon
Converter that measures a physical quantity and converts it into a signal
doi:10.3389/fnins.2016.00115. PMC 4809886. PMID 27065784. Huff, Howard; Riordan, Michael (2007-09-01). "Frosch and Derick: Fifty Years Later (Foreword)"
Sensor
British TV show for young children
Morning: Margaret Mahy & Selina Young My G-r-r-r-r-reat Uncle Tiger: James Riordan & Alex Ayliffe Little Mouse and the Big Red Apple: A.H. Benjamin & Gwyneth
Step_Inside
American filmmaker (born 1946)
ISBN 9780358522508. Riordan, James (1996). The Controversies, Excesses, and Exploits of a Radical Filmmaker. Hyperion. p. 53. ISBN 978-0786860265. Riordan, James (1996)
Oliver_Stone
4–82. Wahl & Riordan 2005, pp. 1–105. Wahl & Riordan 2005, pp. 1–106. Caton 1980, pp. 1–14. Wahl & Riordan 2005, pp. 1–108. Wahl & Riordan 2005, pp. 1–109
List of military electronics of the United States: A–G
List_of_military_electronics_of_the_United_States:_A–G
Range of new religious beliefs and practices
have 'passed over.' Melton 1992, p. 22; Riordan 1992, pp. 108–110; Pike 2004, p. 28. Riordan 1992, p. 110. Riordan 1992, p. 108. Hanegraaff 1996, pp. 26–27
New_Age
Count of the possible partitions of a set
numbers" and the notation Bn for these numbers was given to them by Becker & Riordan 1948. The first exhaustive enumeration of set partitions appears to have
Bell_number
2017 supernatural horror film by Andy Muschietti
Skarsgård Was Really Like on Set". Teen Vogue. Retrieved March 21, 2018. Riordan, Remi (December 20, 2017). "Sophia Lillis is an "It" girl: an interview"
It_(2017_film)
Solid-state electrically operated switch also used as an amplifier
original on December 16, 2014. Retrieved December 7, 2014. Huff, Howard; Riordan, Michael (September 1, 2007). "Frosch and Derick: Fifty Years Later (Foreword)"
Transistor
In combinatorics, the rencontres numbers are a triangular array of integers that enumerate permutations of the set { 1, ..., n } with specified numbers
Rencontres_numbers
Chairman Mao Tse-tung, also known as the Little Red Book, has produced a wide array of sales and distribution figures—with estimates ranging from 800 million
List_of_best-selling_books
Electronic circuit formed on a small, flat piece of semiconductor material
55–61. Bibcode:2013ECSIn..22a..55K. doi:10.1149/2.F06131if. Huff, Howard; Riordan, Michael (September 2007). "Frosch and Derick: Fifty Years Later (Foreword)"
Integrated_circuit
Country in South America
Getúlio Vargas, pp. 13–14, ISBN 978-85-225-0496-1 McCann 2004, p. 441 Roett; Riordan Brazil: Politics in a Patrimonial Society, GreenWood Publishing Group 1999
Brazil
Open world game
Hammerhead (Keith Silverstein), and Felicia's father Walter Hardy (Daniel Riordan). Marvel's Spider-Man depicts fictional locations and entities from the
Marvel's Spider-Man (video game)
Marvel's_Spider-Man_(video_game)
Musician
Antwerp (2016) Warsaw (2016) Cameron Stallones - Guitar, synthesizers M. Riordan - Synthesizers J. Leland - "VDrums", percussion Releases: Jupiter Wilson
Sun_Araw
Legendary Greek king of Ithaca
Atwood retells his story from the point of view of his wife Penelope. Rick Riordan's novel series Percy Jackson & the Olympians, which centres on the presence
Odysseus
Topics referred to by the same term
2002 novel by James Heneghan Floods, a 2000 volume of poetry by Maurice Riordan Flood, a 1985 novel in the Burke series by Andrew Vachss Flood: A Romance
Flood_(disambiguation)
Town in North Yorkshire, England
from the original on 3 March 2024. Retrieved 3 March 2024. Riordan 2002, p. 100. Riordan 2002, p. 153. "Northallerton Magistrates Court, 3 Racecourse
Northallerton
American businessman and philanthropist
the early 1990s, Karatz co-chaired along with Los Angeles Mayor Richard Riordan the Mayor’s Alliance for a Safer LA, which raised over $16 million to place
Bruce_Karatz
1722071. IEEE Spectrum, The Lost History of the Transistor, Author: Michael Riordan, May 2004, pp. 48–49. Bell System Technical J., 35, 1–34, 1955. Dabrowski
History_of_the_transistor
Northern Irish physicist (born 1943)
Swarthmore Lecture. London: Quaker Home Service. ISBN 978-0-85245-222-6. Riordan, Maurice; Burnell, S. Jocelyn (27 October 2008). Dark Matter: Poems of
Jocelyn_Bell_Burnell
2015 studio album by Grace Potter
steel Benny Yurco – guitar, acoustic guitar Michael Libramento – bass Cian Riordan – background vocals, guitar, baritone guitar, percussion, gong, stomps
Midnight_(Grace_Potter_album)
Mexican political party
"Mexico's Domestic Economy". In Crandall, Russell; Paz, Guadalupe; Roett, Riordan (eds.). Mexico's Democracy at Work: Political and Economic Dynamics. Boulder
Institutional Revolutionary Party
Institutional_Revolutionary_Party
Area of discrete mathematics
Modern Graph Theory. Springer. ISBN 978-1-4612-0619-4. Bollobás, Béla; Riordan, O. M. (2003). Mathematical results on scale-free random graphs in "Handbook
Graph_theory
Electromagnetic radiation with wavelengths from 1 m to 1 mm
Language Teaching and Research Press. p. 269. ISBN 978-7-5600-2874-3. Riordan, Michael; Lillian Hoddeson (1988). Crystal fire: the invention of the transistor
Microwave
(2018) downloadable content The City That Never Sleeps, voiced by Daniel Riordan. This version operated as the Black Cat twenty years prior to the events
List of Marvel Comics characters: H
List_of_Marvel_Comics_characters:_H
Political philosophy emphasising social ownership of production
ISBN 0813398215. Emile Perreau-Saussine, What remains of socialism?, in Patrick Riordan (dir.), Values in Public life: aspects of common goods (Berlin, LIT Verlag
Socialism
Physical theory of the cosmos
York: Basic Books. ISBN 978-0-465-01575-7. LCCN 96010781. OCLC 34357391. Riordan, Michael; Zajc, William A. (May 2006). "The First Few Microseconds" (PDF)
Big_Bang
Type of field-effect transistor
December 6, 1935 (originally filed in Germany March 2, 1934). Huff, Howard; Riordan, Michael (2007-09-01). "Frosch and Derick: Fifty Years Later (Foreword)"
MOSFET
Marvel Comics fictional character
Zemo's plans is foiled by Captain America and a new Citizen V (Dallas Riordan), Zemo is killed by the new Scourge of the Underworld. His mind ends up
Helmut_Zemo
Ethnic group
Eskimo about Bering Strait. Smithsonian Institution. pp. 327–330. Fienup-Riordan, Ann (1990). Eskimo Essays: Yup'ik Lives and how We See Them. Rutgers University
Inuit
Neighborhood in New York City
needed] Nancy Reagan (1921–2016), actress and former First Lady Richard Riordan (1930–2023), Los Angeles mayor Peter Rosenthal (1941–2024), mathematician
Flushing,_Queens
Method of executing orders
doi:10.1007/s10462-022-10307-0. Brogaard, Jonathan; Hendershott, Terrence; Riordan, Ryan (August 2014). "High-Frequency Trading and Price Discovery". Review
Algorithmic_trading
Feeding of infants/toddlers with breast milk
B, Wambach K (2014). "Women's Health and Breastfeeding". In Wambach K, Riordan J (eds.). Breastfeeding and Human Lactation (5th ed.). Jones & Bartlett
Breastfeeding
Device that controls current between electrodes
America, John Benjamins Publishing, 1997 ISBN 9027248761. Hoddeson L., Riordan M. (1997). Crystal Fire. New York: W. W. Norton & Co. Inc. p. 58. Retrieved
Vacuum_tube
Public secondary school in Burlingame, California, United States
Burlingame's Frankie Ferrari having storybook season after year at Archbishop Riordan". The Mercury News. February 19, 2014. Archived from the original on January
Burlingame High School (California)
Burlingame_High_School_(California)
Downloadable content for 2018's Spider-Man
the main game), Felicia's father and retired thief Walter Hardy (Daniel Riordan), and mob boss Hammerhead (Keith Silverstein), who is taking advantage
Marvel's Spider-Man: The City That Never Sleeps
Marvel's_Spider-Man:_The_City_That_Never_Sleeps
Branch of discrete mathematics
Christopher A., eds. (1997). Design Theory. CRC-Press. ISBN 0-8493-3986-3. Riordan, John (2002) [1958]. An Introduction to Combinatorial Analysis. Dover.
Combinatorics
elections, so did centrists (such as Rudy Giuliani, George Pataki, Richard Riordan, and Arnold Schwarzenegger).[citation needed] Eventually a large nationwide
Political parties in the United States
Political_parties_in_the_United_States
Number of subsets of a given size
(1990, p. 121) or Flum & Grohe (2006, p. 427). Munarini, Emanuele (2011), "Riordan matrices and sums of harmonic numbers" (PDF), Applicable Analysis and Discrete
Binomial_coefficient
1917–1922 civil war in the Russian Empire
the Fundamental Questions of the Revolution (in Russian). Vol. 25. Jim Riordan (4th ed.). Moscow: Progress Publishers. pp. 370–77. Cohen, Stephen (1980)
Russian_Revolution
Phenomenon in response to auditory stimulus
PMID 17399746. S2CID 24884625. Rzadzinska AK, Schneider ME, Davies C, Riordan GP, Kachar B (2004). "An actin molecular treadmill and myosins maintain
Listener_fatigue
Public university in Ann Arbor, Michigan, U.S.
Representative Justin Amash, JD '05. Former Los Angeles Mayor Richard Riordan, former Chicago Mayor Lori Lightfoot, BA '84, and Detroit Mayor Mike Duggan
University_of_Michigan
Type of transistor
MIT Press. ISBN 9780262014243., p. 11. Lécuyer & Brock 2010, pp. 10–22 Riordan, Michael (December 2007). "The Silicon Dioxide Solution: How physicist
Diffused_junction_transistor
Recursive integer sequence
Désiré André in 1887. The name “Catalan numbers” originated from John Riordan. In 1988, it came to light that the Catalan number sequence had been used
Catalan_number
First Lady of the United States from 1974 to 1977
dancing often lasted beyond midnight. The Fords opted to have eclectic array of guests at their state dinners, including notable celebrities from the
Betty_Ford
960," in Sport and Physical Education in China, 20–44. Edited by James Riordan and Robin E. Jones. London: E & FN Spon, an imprint of the Taylor and Francis
List_of_Chinese_inventions
Expectation or average of the falling factorial of a random variable
Springer, New York, second edition, 2003 Riordan, John (1958). Introduction to Combinatorial Analysis. Dover. Riordan, John (1958). Introduction to Combinatorial
Factorial_moment
Telecommunications networks transmitted by radio waves
original on 22 January 2023. Retrieved 16 October 2019. Huff, Howard; Riordan, Michael (1 September 2007). "Frosch and Derick: Fifty Years Later (Foreword)"
Cellular_network
Type of transistor
and Technology. 11 (2): 121–130. doi:10.1080/07341519408581858. Michael Riordan; Lillian Hoddeson (1997). Crystal Fire: The Birth of the Information Age
Field-effect_transistor
Type of food
London. 22 March 2013. Archived from the original on 12 January 2022. Avis-Riordan, Katie (27 October 2017). "The 20 most comforting foods, according to Brits:
Comfort_food
Nonprofit group based in Cambridge, Massachusetts
our city". The annual book festival combines a street festival with an array of authors and other literary presenters from around the world. Daytime
Boston_Book_Festival
Cellular service provider for Northeastern Wisconsin state
(Cellcom to Cellcom) calling. On May 20, 2025, Cellcom/Nsight CEO Brighid Riordan released a YouTube video and written statement saying that the outage was
Cellcom_(United_States)
American mathematician (1923–2013)
Gilbert discovered Costas arrays independently of and in the same year as Costas,[G65] and is also known for his work with John Riordan on counting necklaces
Edgar_Gilbert
Private university in Hempstead and Uniondale, New York, US
at Hofstra University have a collection of diverse trees and display an array of rare and colorful tulips in the spring. Hofstra University is accredited
Hofstra_University
Liver damage caused by a drug or chemical
(12): 1499–506. doi:10.1124/dmd.31.12.1499. PMID 14625346. S2CID 1556558. Riordan SM, Williams R (2002). "Alcohol exposure and paracetamol-induced hepatotoxicity"
Hepatotoxicity
Irish writer (1911–1966)
Brian O'Nolan. London, UK: Martin, Brian & O'Keeffe. ISBN 0856161500. Riordan, Arthur (2005). Improbable Frequency. Nick Hern Books. ISBN 1-85459-875-9
Flann_O'Brien
Township in Camden County, New Jersey, US
Center & Kay-Evans House, Cherry Hill Township. Accessed August 3, 2015. Riordan, Kevin. "A chapel of cherry blossoms", The Philadelphia Inquirer, October
Cherry_Hill,_New_Jersey
Manufacturing process used to create integrated circuits
Electrochemical Society. 104 (9): 547. doi:10.1149/1.2428650. Huff, Howard; Riordan, Michael (2007-09-01). "Frosch and Derick: Fifty Years Later (Foreword)"
Semiconductor device fabrication
Semiconductor_device_fabrication
Neighborhood and park in New York City
Third Avenue and Irving has been called "Block Beautiful" for its wide array of architecture and pristine aesthetic. Townhouses with generous backyards
Gramercy_Park
has known her ever since they were freshmen together at Berkeley[...] Riordan, Rick (October 3, 2017). Magnus Chase and the Gods of Asgard, Book 3: The
List of University of California, Berkeley alumni
List_of_University_of_California,_Berkeley_alumni
Translation cDNA Microarray Fluorophore Reverse Transcription Hogan, Daniel J.; Riordan, Daniel P.; Gerber, André P.; Herschlag, Daniel; Brown, Patrick O. (2008)
Aminoallyl_nucleotide
Concert hall in Los Angeles, California
restarted in earnest in 1996, headed by Eli Broad and then-mayor Richard Riordan. Groundbreaking for the hall was held in December 1999. Delay in the project
Walt_Disney_Concert_Hall
Technology for constructing integrated circuits
Papers. Vol. EC-8. pp. 58–59. doi:10.1109/ISSCC.1959.1157035. Huff, Howard; Riordan, Michael (2007-09-01). "Frosch and Derick: Fifty Years Later (Foreword)"
CMOS
Protected area in Arizona, United States
National Forest. The rich riparian zone along the creek supports a diverse array of species. Trees in this habitat include Fremont cottonwood, Arizona sycamore
Red_Rock_State_Park
Mathematical functions
science (2nd ed.). Reading, Mass: Addison-Wesley. p. 50. ISBN 0-201-55802-5. Riordan, John (1980). An introduction to combinatorial analysis. Princeton, N.J:
Falling_and_rising_factorials
Bell Labs Technical Journal, Volume 2, Issue 4, Pages 15 – 28. Michael Riordan and Lillian Hoddeson (1997).Crystal Fire: The Invention of the Transistor
Reading_Works
Integrated circuit
semiconductive surfaces for controlled diffusion", issued 1957-08-13 Huff, Howard; Riordan, Michael (2007-09-01). "Frosch and Derick: Fifty Years Later (Foreword)"
Mixed-signal integrated circuit
Mixed-signal_integrated_circuit
the false name Borch three Jackdaws. Festus The Heroes of Olympus Rick Riordan A mechanical dragon, made by the ninth cabin to protect Camp Half-blood
List of dragons in popular culture
List_of_dragons_in_popular_culture
Animals in mammal order Carnivora
polar regions, hyper-arid deserts, and the open seas. They come in a wide array of body plans in contrasting shapes and sizes, ranging from the 17 cm (7 in)
List_of_carnivorans
English poet and antiquary, c. 1643–1713
attribution. All volumes are scanned at HathiTrust. Citations Sherbo 2013. Riordan 2000, p. 10. "Rymer, Thomas (RMR659T)". A Cambridge Alumni Database. University
Thomas_Rymer
Mixed-use commercial complex in Holmdel, New Jersey
and The American Institute of Physics. 1999. Retrieved June 23, 2026. Riordan, Michael; Hoddeson, Lillian (June 1997). "The origins of the pn junction"
Bell_Labs_Holmdel_Complex
Professional information communicator
Visual Language. New York, NY: Longman. pp. 3–390. ISBN 978-0-205-61640-4. Riordan, Daniel (2005). Technical Report Writing Today. Boston, MA: Wadsworth Cengage
Technical_writer
CISC microprocessor
doi:10.1109/JSSC.1984.1052208. ISSN 0018-9200. S2CID 23195124. UCB RISC-II Riordan, T.; Grewal, G. P.; Hsu, S.; Kinsel, J.; Libby, J.; March, R.; Mills, M
NEC_V60
94 (2): 291–309. doi:10.1016/j.jfineco.2008.10.007. hdl:10086/15730. Riordan, Christine M.; McFarlane Shore, Lynn (1997). "Demographic diversity and
Team_composition
Polynomial sequence
numbers comes in three flavors: (sequence A008517 in the OEIS) following Riordan and Comtet, (sequence A201637 in the OEIS) following Graham, Knuth, and
Eulerian_number
Former professor at Harvard University, ETH Zurich, and the University of Florida
1126/science.6322300. PMID 6322300. Retrieved 5 July 2016. D'Alessio, Giuseppe; Riordan, James F. (1997). Ribonucleases structures and functions. San Diego: Academic
Steven_A._Benner
Type of semiconductor
276–503, doi:10.1007/978-0-387-47314-7_6, ISBN 9780387473130 Huff, Howard; Riordan, Michael (2007-09-01). "Frosch and Derick: Fifty Years Later (Foreword)"
VMOS
Protected area in Coconino County, Arizona
route to the Grand Canyon. The creek has also created a varied and abundant array of vegetation. The shaded, north-facing walls are covered in fir and ponderosa
Walnut Canyon National Monument
Walnut_Canyon_National_Monument
Election for the 60th Parliament of Victoria
of the 40 seats, the Coalition 11 and the remaining seats were won by an array of minor parties. During the term, two Labor MLC's were either expelled
2022_Victorian_state_election
Italian football manager (1886–1968)
della Sera (in Italian). p. 7. Retrieved 24 October 2019. Arnaud, Pierre; Riordan, Jim (1998). Sport and International Politics: Impact of Fascism and Communism
Vittorio_Pozzo
Electronic component that exploits the electronic properties of semiconductor materials
Cambridge University Press. pp. 11–13. ISBN 978-0-521-28903-0. Huff, Howard; Riordan, Michael (2007-09-01). "Frosch and Derick: Fifty Years Later (Foreword)"
Semiconductor_device
travel, tourism, insurance
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travel, tourism, insurance