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Number of orderings allowing ties
In number theory and enumerative combinatorics, the ordered Bell numbers or Fubini numbers count the weak orderings on a set of n {\displaystyle n} elements
Ordered_Bell_number
Natural number
therefore a pentagonal pyramidal number, as well as a nonagonal number. It is also the fourth ordered Bell number, and a Keith number, because it recurs in a Fibonacci-like
75_(number)
Natural number
polygon is called a tridecagon. 13 is a Fibonacci number and an ordered Bell number. Thus, the number shows up in several problems in combinatorial enumeration:
13_(number)
Natural number
a star number. It is palindromic in bases 18 (1C118) and 20 (17120). It is the fifth ordered Bell number that represents the number of ordered partitions
500_(number)
American boxer (born 1993)
Jayson Vélez in November 2023. Bell knocked out former world champion Jonatan Romero in March 2024. Albert Bell was the number 1 ranked junior lightweight
Albert_Bell_(boxer)
Count of the possible partitions of a set
within the family is not considered; ordered partitions are counted by a different sequence of numbers, the ordered Bell numbers. B 0 {\displaystyle B_{0}}
Bell_number
Polyhedron whose vertices represent permutations
number of all faces is the n-th ordered Bell number. A face of dimension d corresponds to an ordering with k = n − d equivalence classes. The number of
Permutohedron
Linguistic model for phonological analysis
allowed, then the number of possibilities is an ordered Bell number rather than a factorial, allowing a significantly larger number of possibilities.
Optimality_theory
American actor (born 1986)
concert". Bell was 31 at the time of the alleged incident. Bell pleaded not guilty, and was freed on a $2,500 personal bond, and was ordered to provide
Drake_Bell
1938 fighter aircraft family by Bell
The Bell P-39 Airacobra is a fighter produced by Bell Aircraft for the United States Army Air Forces during World War II. It was one of the principal
Bell_P-39_Airacobra
American attack helicopter
Bell AH-1Z Viper is a twin-engine attack helicopter, based on the AH-1W SuperCobra, designed and produced by the American aerospace manufacturer Bell
Bell_AH-1Z_Viper
Military utility helicopter model by Bell
introduced in the early 1970s. The helicopter, and related Bell AH-1Z Viper, were ordered by the Czech Republic and the helicopter is in production in
Bell_UH-1Y_Venom
Military transport tiltrotor
The Bell Boeing V-22 Osprey is an American multi-use, tiltrotor military transport and cargo aircraft with both vertical takeoff and landing (VTOL) and
Bell–Boeing_V-22_Osprey
Mid-engined fighter aircraft
The Bell P-63 Kingcobra is an American fighter aircraft that was developed by Bell Aircraft during World War II. Based on the preceding Bell P-39 Airacobra
Bell_P-63_Kingcobra
American telephone service monopoly (1877–1984)
settled the lawsuit and ordered it to separate itself from its local phone companies, who would be broken up into seven "Regional Bell Operating Companies"
Bell_System
Civil 7-seat utility helicopter
the Iraqi Air Force ordered three Bell 407 armed scout helicopters (similar to the canceled ARH-70). A contract for 24 additional Bell 407s with an option
Bell_407
Symbol of American independence and liberty
Robert Charles ordered the bell from Thomas Lester of the London bell-founding firm of Lester and Pack, later known as the Whitechapel Bell Foundry, for
Liberty_Bell
Air warfare branch of the Slovenian armed forces
Defence Force. During the war it also was equipped with three ex-Police Bell 412s and an Agusta A-109A. On 9 June 1992 the Air Force Unit of the Slovenian
Slovenian Air Force and Air Defence
Slovenian_Air_Force_and_Air_Defence
Utility helicopter family by Bell
The Bell 206 is a family of two-bladed, single- and twin-engined helicopters, manufactured by Bell Helicopter at its Mirabel, Quebec, plant. Originally
Bell_206
American fast-food chain
Taco Bell Corporation, doing business as Taco Bell, is an American multinational chain of fast food restaurants founded in 1962 by Glen Bell (1923–2010)
Taco_Bell
American sex offender and dialogue coach (born 1960)
(2005–2008). In 2004, Peck was convicted of sexually assaulting Drake Bell in 2001, when Bell was 15 years old. As an actor, Peck is best known for his role
Brian_Peck
Single-engine single-rotor light military helicopter
United States Army Air Forces (later the United States Air Force) ordered the improved Bell Model 47A. Most were designated YR-13 and three winterized versions
Bell_H-13_Sioux
Huey family of American military utility helicopters
The Bell UH-1 Iroquois (nicknamed "Huey") is a utility military helicopter designed and produced by the American aerospace company Bell Helicopter. It
Bell_UH-1_Iroquois
1940 novel by Ernest Hemingway
For Whom the Bell Tolls is a novel by Ernest Hemingway published in 1940. It tells the story of Robert Jordan, a young American volunteer attached to a
For_Whom_the_Bell_Tolls
Utility transport helicopter
services ordered 294 Bell 212s under the designation UH-1N, with deliveries commencing in 1970. Having secured multiple military customers, Bell Helicopters
Bell_UH-1N_Twin_Huey
Experimental rocket-powered aircraft
life testing the Bell X-2 under similar circumstances. (Bell Model 58A) Ordered by the Air Force on 2 April 1948, the X-1A (serial number 48-1384) was intended
Bell_X-1
Bells rung in schools
group that controls large parts of Somalia–ordered school bells banned as they sounded too similar to church bells. Hand claps were then used as an alternative
School_bell
Single-turbine light helicopter
Force - ordered six Bell 505s in February 2021 for support of public safety operations and training. Jordan Royal Jordanian Air Force, received Bell 505
Bell_505_Jet_Ranger_X
Autobiography and memoir of Jean-Dominique Bauby
The Diving Bell and the Butterfly (original French title: Le Scaphandre et le Papillon) is a memoir by journalist Jean-Dominique Bauby. It describes his
The Diving Bell and the Butterfly
The_Diving_Bell_and_the_Butterfly
Numbers obtained by adding the two previous ones
the most common of which is that of counting the number of ways of writing a given number n as an ordered sum of 1s and 2s (called compositions); there are
Fibonacci_sequence
First jet aircraft of the United States
The Bell P-59 Airacomet is a single-seat, twin jet-engine fighter aircraft that was designed and built by Bell Aircraft during World War II. It was the
Bell_P-59_Airacomet
Number used for counting
using a well-ordered set; every element always has a clear next element. Every well-ordered set has an order type, which is the ordinal number that describes
Natural_number
Number equal to the sum of its proper divisors
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number
Perfect_number
list of most current US baseball stadiums. They are ordered by seating capacity, the maximum number of spectators the stadium can accommodate in baseball
List of U.S. baseball stadiums by capacity
List_of_U.S._baseball_stadiums_by_capacity
Scottish-born mathematician and science fiction writer
to enroll at Caltech for his doctoral studies. Bell researched number theory; see in particular Bell series. He attempted—not altogether successfully—to
Eric_Temple_Bell
English traveller and writer
Gertrude Margaret Lowthian Bell (14 July 1868 – 12 July 1926) was an English writer, traveller, political officer, administrator, and archaeologist. She
Gertrude_Bell
American utility helicopter
The Bell 429 GlobalRanger is a light, twin-engine helicopter developed by Bell Helicopter and Korea Aerospace Industries. The first flight of the prototype
Bell_429_GlobalRanger
Canadian Coast Guard icebreaker
light helicopters of the MBB Bo 105 or Bell 206L types, but in the 2010s, the Bell 429 GlobalRanger and Bell 412EPI were acquired by the Canadian Coast
CCGS_Henry_Larsen
American telecommunications company
company was formed in 1983 as Bell Atlantic as a result of the breakup of the Bell System into seven companies, each a Regional Bell Operating Company (RBOC)
Verizon
Class of natural numbers with many divisors
In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is
Superior highly composite number
Superior_highly_composite_number
Numbers parameterizing ways to partition a set
k is the total number of partitions of a set with n members. This number is known as the nth Bell number. Analogously, the ordered Bell numbers can be
Stirling numbers of the second kind
Stirling_numbers_of_the_second_kind
Numbers k where x - phi(x) = k has many solutions
In number theory, a branch of mathematics, a highly cototient number is a positive integer k {\displaystyle k} which is above 1 and has more solutions
Highly_cototient_number
Figurate number
The triangular lattice representing the n {\displaystyle n} th triangular number contains n {\displaystyle n} rows: the first row contains one point, the
Triangular_number
Twin-engined, medium-lift helicopter manufactured by Leonardo
and the American company Bell Helicopters. It was marketed as the Agusta-Bell AB139, but was redesignated as the AW139 after Bell withdrew from the project
AgustaWestland_AW139
Integer having a non-trivial divisor
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly, it is a positive integer that has
Composite_number
Great Lakes freighter sunk in Lake Superior
maintaining the bell, and forbade it from selling or moving the bell or using it for commercial purposes. It provided for transferring the bell to the Mariners'
SS_Edmund_Fitzgerald
Canadian media company
Bell Media Inc. (French: Bell Média inc.) is a Canadian media conglomerate that is the mass media subsidiary of BCE Inc. (formerly known as Bell Canada
Bell_Media
Natural number
prime sum 2065 = Number of distinct lines through the origin in the fourdimensional lattice of side length 6 2066 – Bell number 2067 = Number of Golomb partitions
2000_(number)
Church in Vienna, Austria
year by a rare ringing of the Pummerin bell for three minutes in the evening. In 1304, King Albert I ordered a Gothic three-nave choir to be constructed
St. Stephen's Cathedral, Vienna
St._Stephen's_Cathedral,_Vienna
Iterative algorithm on numbers
In number theory, Kaprekar’s routine is an iterative algorithm named after its inventor, Indian mathematician D. R. Kaprekar. Each iteration starts with
Kaprekar's_routine
Series of twin-engine attack helicopters
The Bell AH-1 SuperCobra is a twin-engined attack helicopter that was developed on behalf of, and primarily operated by, the United States Marine Corps
Bell_AH-1_SuperCobra
Natural number
= prime factor of F12 115,975 = Bell number 116,281 = 3412, square number, centered decagonal number, 18-gonal number 117,067 = first vampire prime 117
100,000
Natural number
205,057 : 19th Bell number 5,878,625,373,184 : rounded-up length of a light-year in miles 6,073,061,476,032 : self-descriptive number in base 12 6,125
1,000,000,000,000
Base-dependent property of integers
In mathematics, a natural number in a given number base is a p {\displaystyle p} -Kaprekar number if the representation of its square in that base can
Kaprekar_number
Integer filtered out using a sieve similar to that of Eratosthenes
In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the sieve of Eratosthenes
Lucky_number
Infinite integer series where the next number is the sum of the two preceding it
numbers two terms apart in the Fibonacci sequence results in the Lucas number in between. The first few Lucas numbers are 2, 1, 3, 4, 7, 11, 18, 29, 47
Lucas_number
Number in {..., –2, –1, 0, 1, 2, ...}
An integer is the number zero (0), a positive natural number (1, 2, 3, ...), or the negation of a positive natural number (−1, −2, −3, ...). The negations
Integer
Crank of a partition Solid partition Young tableau Young's lattice Bell number Bell polynomials Dobinski's formula Cumulant Data clustering Equivalence
List_of_partition_topics
Financial fraud scandal in Bell, California, United States
The Bell scandal involved the misappropriation of public funds in Bell, California, United States, over a period of several years in the late 2000s. In
City_of_Bell_scandal
Military unit
Balance 2024. IISS. 2024. ISBN 978-1032780047. "Iraq Receives Second Batch of Bell Helicopters". Iraq Business News. 18 October 2025. "World Air Forces 2024"
Iraqi_Army_Aviation_Command
Number divisible only by 1 and itself
generalized to algebraic number fields and their valuations (certain mappings from the multiplicative group of the field to a totally ordered additive group, also
Prime_number
Mathematical ranking of a set
utility function is also possible. Weak orderings are counted by the ordered Bell numbers. They are used in computer science as part of partition refinement
Weak_ordering
Ten raised to an integer power
the number ten; in other words, ten multiplied by itself a certain number of times (when the power is a positive integer). By definition, the number one
Power_of_10
Type of Poulet number
In number theory, a super-Poulet number is a Poulet number, or pseudoprime to base 2, whose every divisor d {\displaystyle d} divides 2 d − 2 {\displaystyle
Super-Poulet_number
are 13 church bells in the cathedral of Notre-Dame de Paris; 10 main bells are mounted in the two main bell towers and 3 smaller bells in the sanctuary
Bells_of_Notre-Dame_de_Paris
Number, non-palindrome after repeated sum with reverse
numbers exist? More unsolved problems in mathematics A Lychrel number is a natural number that cannot form a palindrome through the iterative process of
Lychrel_number
Prime number of the form 2^n – 1
mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer
Mersenne_prime
Cruise ship operated by Disney Cruise Line
of the Magic class, following Disney Magic (1998). The Magic class was ordered on April 27, 1995, and built by Fincantieri at its shipyard in Marghera
Disney_Wonder
Building in Kawagoe, Saitama
the lord of Kawagoe Domain found the original bell wrecked and not in use, and ordered to cast a new bell in 1653. According to a topography named "Kawagoe
Time_Bell_Tower
Property of a number
In mathematics, the persistence of a number is the number of times one must apply a given operation to an integer before reaching a fixed point at which
Persistence_of_a_number
Natural number
25th Pell number. 1,350,125,107 = 675 1,382,958,545 : 15th Bell number. 1,392,251,012 : number of secondary structures of RNA molecules with 27 nucleotides
1,000,000,000
United States & Canadian telephone number for emergencies
special number (see also 4-1-1 and 6-1-1), worked well with the phone systems at the time. At the time, this announcement only affected the Bell System
911 (emergency telephone number)
911_(emergency_telephone_number)
President of the United States from 2009 to 2017
American on the Supreme Court. Obama also oversaw the end of the Iraq War and ordered Operation Neptune Spear, the raid that killed Osama bin Laden, who was
Barack_Obama
Positive integer of the form 4n + 1
In number theory, a branch of mathematics, a Hilbert number is a positive integer of the form 4n + 1 (Flannery & Flannery (2000, p. 35)). The Hilbert numbers
Hilbert_number
This is the discography of the American ESP-Disk' record label, ordered by ID number of each musical album. "ESP-Disk' Catalog: 1000 series – Album Index"
ESP-Disk'_discography
Mixed-use commercial complex in Holmdel, New Jersey
The Bell Labs Holmdel Complex (later known as Bell Works) is a development in Holmdel Township, Monmouth County, New Jersey, United States. It functioned
Bell_Labs_Holmdel_Complex
Recursive integer sequence
Cn is the number of noncrossing partitions of the set {1, ..., n}. A fortiori, Cn never exceeds the n-th Bell number. Cn is also the number of noncrossing
Catalan_number
Numbers with a certain property involving recursive summation
In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance
Happy_number
1940s American military helicopter
The Bell R-12 (later redesignated H-12; company Model 48) was an American 1940s military utility helicopter built by the Bell Helicopter company. The
Bell_H-12
Number that is the numerator of the generalized harmonic number H_(n,2)
In mathematics, a Wolstenholme number is a number that is the numerator of the generalized harmonic number Hn,2. The first such numbers are 1, 5, 49,
Wolstenholme_number
Natural number
749,427 = Number of a partially ordered set with 11 unlabeled elements 47,045,881 = 68592 = 3613 = 196 47,176,870 = Fifth busy beaver number 47,326,700
10,000,000
Season of television series
begun. Co-showrunner Henry Alonso Myers said it had not been officially ordered but it was "definitely the next thing in line" and the crew had begun work
Star Trek: Strange New Worlds season 3
Star_Trek:_Strange_New_Worlds_season_3
Mathematical proposition equivalent to the axiom of choice
on the order relation, a partially ordered set may have any number of maximal elements. However, a totally ordered set can have at most one maximal element
Zorn's_lemma
Product of an integer with itself
In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with
Square_number
Natural number
digits 4,213,597 = Bell number 4,260,282 = Fine number 4,297,512 = 12-th derivative of xx at x=1 4,324,320 = 12th colossally abundant number, 12th superior
1,000,000
Type of composite number with an even number of digits
recreational mathematics, a vampire number (or true vampire number) is a composite natural number with an even number of digits, that can be factored into
Vampire_number
Positive integer that is the product of three distinct prime numbers
In number theory, a sphenic number (from Ancient Greek: σφήν, 'wedge') is a positive integer that is the product of three distinct prime numbers. For
Sphenic_number
Integer named after Reo Fortune
(Fortune's conjecture) More unsolved problems in mathematics In number theory, a Fortunate number, named after Reo Fortune, is the smallest integer m > 1 such
Fortunate_number
first and most recent matches played in. The names are initially ordered by number of caps (in descending order), then by date of debut, then by alphabetical
List of England international footballers
List_of_England_international_footballers
Fictional character on Law & Order: Special Victims Unit
with Sergeant Ayanna Bell (Danielle Moné Truitt). He comes to suspect that gangster Richard Wheatley (Dylan McDermott) ordered the bombing because Stabler
Elliot_Stabler
Integer where the average of its positive divisors is also an integer
In number theory, an arithmetic number is an integer for which the average of its positive divisors is also an integer. For instance, 6 is an arithmetic
Arithmetic_number
The "Epping Says No" Facebook group, which organised demonstrations at the Bell Hotel, was administered by three members of the Homeland Party, a splinter
2025 United Kingdom anti-immigration protests
2025_United_Kingdom_anti-immigration_protests
American journalist and civil rights activist (1862–1931)
Ida Bell Wells-Barnett (July 16, 1862 – March 25, 1931) was an American investigative journalist, sociologist, educator, and early leader in the civil
Ida_B._Wells
Brazilian footballer (born 1980)
Guardian. Archived from the original on 6 August 2020. Retrieved 8 April 2020. Bell, Jack (14 March 2007). "Bruised Feelings and a Shaky Knee for F.C. Barcelona"
Ronaldinho
Number whose divisors summed twice over equal twice itself
In number theory, a superperfect number is a positive integer n that satisfies σ 2 ( n ) = σ ( σ ( n ) ) = 2 n , {\displaystyle \sigma ^{2}(n)=\sigma (\sigma
Superperfect_number
Military utility helicopter
designation for the Bell 412CF, a modified Bell 412, ordered by Canada in 1992. The CH-146 was built at Mirabel, Quebec, at the Bell Canadian plant. It
Bell_CH-146_Griffon
American bank robber (1945–2006)
surgery (male-to-female). However, veteran Village Voice columnist Arthur Bell, who knew Wojtowicz and was tangentially involved in the hostage negotiations
John_Wojtowicz
Branch of discrete mathematics
geometry (combinatorial geometry). Order theory is the study of partially ordered sets, both finite and infinite. It provides a formal framework for describing
Combinatorics
Centered figurate number representing a dodecahedron
a centered dodecahedral number is a centered figurate number that represents a dodecahedron. The centered dodecahedral number for a specific n is given
Centered_dodecahedral_number
Number that remains the same when its digits are reversed
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16361) that remains the same when its digits are
Palindromic_number
ORDERED BELL-NUMBER
ORDERED BELL-NUMBER
Boy/Male
Australian, French, Swedish
Handsome Friend; God Promise; Beautiful
Girl/Female
Indian
Well-arranged, Well-ordered
Girl/Female
African, Arabic, Muslim
Well-ordered; Well-arranged
Male
English
Short form of English unisex Kelly, KELL means "bright-headed."
Male
English
Variant spelling of English Abel, ABELL means "vanity," i.e. "transitory."
Boy/Male
French English
Handsome.
Female
English
Variant spelling of English Belle, BELL means "beautiful."Â
Surname or Lastname
English
English : topographic name for someone who lived near a spring or stream, Middle English well(e) (Old English well(a)).German : from a short form of the personal names Wallo, Walilo.German : nickname from Middle High German wël ‘round’.
Girl/Female
Muslim
Well-arranged, Well-ordered
Boy/Male
British, English, Hindu, Indian
From Bell; Stomach
Female
English
Pet form of English Eleanor, NELL means "foreign; the other."
Girl/Female
British, English, French, German, Netherlands, Romanian
Form of Beli
Girl/Female
Christian & English(British/American/Australian)
Beautiful
Surname or Lastname
English and North German
English and North German : metonymic occupational name for a leather belt or strap maker, from Middle English belt(e), Middle Low German balt.German : from a short form of the Germanic personal name Baldher (see Belter).North German : habitational name from a place called Beelte (see Belter 2).
Girl/Female
Japanese
Ball; bell.
Surname or Lastname
English (chiefly northern)
English (chiefly northern) : topographic name for someone who lived by an area of high ground or by a prominent crag, from northern Middle English fell ‘high ground’, ‘rock’, ‘crag’ (Old Norse fjall, fell).English, German, and Jewish (Ashkenazic) : metonymic occupational name for a furrier, from Middle English fell, Middle High German vel, or German Fell or Yiddish fel, all of which mean ‘skin’, ‘hide’, or ‘pelt’. Yiddish fel refers to untanned hide, in contrast to pelts ‘tanned hide’ (see Pilcher).
Girl/Female
Czechoslovakian American English French German Latin Spanish
White.
Male
English
Pet form of English William, BILL means "will-helmet."
Surname or Lastname
English
English : nickname for a strong, aggressive, bull-like man, from Middle English bul(l)e, bol(l)e. Occasionally, the name may denote a keeper of a bull. Compare Bulman.German (mainly northern) : from a byname for a cattle breeder, keeper, or dealer. Compare South German Ochs.South German : nickname for a short fat man, a variant of Bolle, or a nickname for a man with the physical characteristics of a bull.
Male
Welsh
Variant spelling of Welsh Bel, BELI means "shining."
ORDERED BELL-NUMBER
ORDERED BELL-NUMBER
Girl/Female
Hebrew
My joy.
Girl/Female
Christian & English(British/American/Australian)
Grace, Mercy
Girl/Female
Indian, Modern, Tamil
Peaceful; Winning
Boy/Male
Tamil
Lord Indra
Boy/Male
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Telugu
Lion
Boy/Male
Hindu, Indian, Sanskrit
The Gift of the Gods
Girl/Female
German
Noble
Boy/Male
Indian
The appraiser
Boy/Male
American, British, English
Lives Near Water
Boy/Male
Indian, Sanskrit
Skeleton; A Collection of Bones
ORDERED BELL-NUMBER
ORDERED BELL-NUMBER
ORDERED BELL-NUMBER
ORDERED BELL-NUMBER
ORDERED BELL-NUMBER
n.
Alt. of Sancte bell
a.
Observant of order, authority, or rule; hence, obedient; quiet; peaceable; not unruly; as, orderly children; an orderly community.
v. t.
To charge or enter in a bill; as, to bill goods.
a.
Being on duty; keeping order; conveying orders.
v. t.
To put a bell upon; as, to bell the cat.
a.
Having the shape of a wide-mouthed bell; campanulate.
v. i.
To develop bells or corollas; to take the form of a bell; to blossom; as, hops bell.
a.
Conformed to order; in order; regular; as, an orderly course or plan.
n.
The strikes of the bell which mark the time; or the time so designated.
a.
Performed in good or established order; well-regulated.
n.
The bell, or boom, of the bittern
a.
Hung with a bell or bells.
imp. & p. p.
of Order
a.
Expanding at the mouth; as, a bell-mouthed gun.
v. t.
To form or wind into a ball; as, to ball cotton.
v. t.
To make bell-mouthed; as, to bell a tube.
a.
Well-ordered; orderly; regular; methodical.
n.
See Sanctus bell, under Sanctus.
n.
Anything that resembles a belt, or that encircles or crosses like a belt; a strip or stripe; as, a belt of trees; a belt of sand.
n.
Anything in the form of a bell, as the cup or corol of a flower.