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Elementary cellular automaton
The Rule 110 cellular automaton (often called simply Rule 110) is an elementary cellular automaton with interesting behavior on the boundary between stability
Rule_110
Mathematics concept
Rule 0 Rule 1 Rule 2 Rule 3 Rule 4 Rule 5 Rule 6 Rule 7 Rule 8 Rule 9 Rule 10 Rule 11 Rule 12 Rule 13 Rule 14 Rule 15 Rule 16 Rule 17 Rule 18 Rule 19
Elementary_cellular_automaton
Discrete model of computation
The rule 30, rule 90, rule 110, and rule 184 cellular automata are particularly interesting. The images below show the history of rules 30 and 110 when
Cellular_automaton
Elementary cellular automaton
Rule 30 is an elementary cellular automaton introduced by Stephen Wolfram in 1983. Using Wolfram's classification scheme, Rule 30 is a Class III rule
Rule_30
American mathematician
mathematician and computer scientist who is best known for having proved that the Rule 110 cellular automaton is Turing-complete. Cook was born in Morgantown, West
Matthew_Cook
Topics referred to by the same term
a number between 0-255 characterizing a specific model (e.g. Rule 110) Phonological rule Advance tax ruling, a tool for conforming taxation arrangements
Rule
Book by Stephen Wolfram
describing the Turing completeness of the Rule 110 cellular automaton. Very small Turing machines can simulate Rule 110, which Wolfram demonstrates using a
A_New_Kind_of_Science
Information-theoretic measure of complexity
obey rule 110: end-center-end. The next state of the center cell depends on the present state of itself and the end cells as specified by the rule: To
Information fluctuation complexity
Information_fluctuation_complexity
Encoding of 1D cellular automaton rules
extensively investigates in his book. Notable rules in this class include rule 30, rule 110, and rule 184. Rule 90 is also interesting because it creates
Wolfram_code
Elementary cellular automaton
a close parenthesis corresponds to a right-moving particle. Rule 30, Rule 90, and Rule 110, other one-dimensional cellular automata with different behavior
Rule_184
British-American scientist (born 1959)
scheme for the complexity of their behaviour. He conjectured that the Rule 110 cellular automaton might be Turing complete, which a research assistant
Stephen_Wolfram
Elementary cellular automaton
of Rule 90 can be used to characterize the possible periods of these oscillators. Other elementary cellular automata: Rule 30, Rule 110, and Rule 184
Rule_90
Ability of a computing system to simulate Turing machines
represent most typical computer programs while detecting more errors. Rule 110 and Conway's Game of Life, both cellular automata, are Turing-complete
Turing_completeness
1858–1947 Crown rule in India
Raj (/ˈrɑːdʒ/ RAHJ; from Hindustani rāj, 'reign', 'rule' or 'government') was the period of rule of the British Crown on the Indian subcontinent, lasting
British_Raj
Game and demonstration of logic gates
many pieces has been shown to be Turing complete via simulations of both Rule 110 for cellular automata, as well as of Turing machines. Although it resembles
Turing_Tumble
Contact sport
fields, Australian rules football playing fields are oval-shaped, and are between 135 and 185 metres (148 and 202 yd) long and 110 and 155 metres (120
Australian_rules_football
Measurement weight range for boxers
Competition Rules, §6.1 AIBA, Technical & Competition Rules, §5.1 AIBA, Technical & Competition Rules, §6 AIBA, Technical & Competition Rules, §2.2 Oxford
Weight_class_(boxing)
Deterministic model of computation
created by Matthew Cook and were used in Cook's demonstration that the Rule 110 cellular automaton is universal. A key part of the demonstration was that
Tag_system
Computer programming language
Sean (2009), "The insights of algorithmic entropy", Entropy, 11 (1): 85–110, Bibcode:2009Entrp..11...85D, doi:10.3390/e11010085, MR 2534819 Wolfram,
Binary_combinatory_logic
110th psalm of the book of psalms
Psalm 110 is also seen in the post-exilic minor prophet Zechariah 6:12-13, emphasizing the priest-king will also build the Lord's temple and rule as priest
Psalm_110
Principle of treating others reciprocally
The Golden Rule is the principle of treating others as one would want to be treated by them. It is sometimes called an ethics of reciprocity, meaning that
Golden_Rule
Type of Turing machine
respectively. Small weakly universal Turing machines that simulate the Rule 110 cellular automaton have been given for the (6, 2), (3, 3), and (2, 4) state–symbol
Universal_Turing_machine
American rapper (born 1976)
his stage name Ja Rule (/ˈdʒɑː ˈruːl/), is an American rapper, singer, and actor. Born and raised in Queens, New York City, Ja Rule became known for blending
Ja_Rule
Mathematical model of abstract computation
2020. Turing completeness — the ability of simulating any Turing machine Rule 110 — a Turing complete elementary cellular automaton Wolfram, Stephen (2002)
Wolfram's 2-state 3-symbol Turing machine
Wolfram's_2-state_3-symbol_Turing_machine
Star height problem Generalized star height problem Cellular automaton Rule 110 cellular automaton Conway's Game of Life Langton's ant Edge of chaos Turing
List of computability and complexity topics
List_of_computability_and_complexity_topics
Qualification rule: The first four finishers in each heat (Q) moved on to the final. "Athletics at the 2004 Athens Summer Games: Men's 110 metres Hurdles"
Athletics at the 2004 Summer Olympics – Men's 110 metres hurdles
Athletics_at_the_2004_Summer_Olympics_–_Men's_110_metres_hurdles
AI that learns decision rules from data
Rule-based machine learning (RBML) is a term in computer science intended to encompass any machine learning method that identifies, learns, or evolves
Rule-based_machine_learning
American economist and legal scholar (1945–2025)
of Direct Democracy and the Single Subject Rule" A Theory of Direct Democracy and the Single Subject Rule 110 (2010): 687. Robert D. Cooter and Brian Broughman
Robert_Cooter
1984 computer by Hewlett-Packard
The HP 110 (aka HP Portable and HP 45710A) is an MS-DOS-compatible laptop released in may 1984 by Hewlett-Packard. It runs off batteries and uses a Harris
HP_110
American residential program for talented high school students
and computer scientist who proved the Turing universality of Wolfram's Rule 110 cellular automaton Lenore Cowen, computer scientist and mathematician at
Hampshire College Summer Studies in Mathematics
Hampshire_College_Summer_Studies_in_Mathematics
American basketball player and coach (1934–2022)
Russell Rule, named after Russell and based on the National Football League's Rooney Rule. In its announcement, the WCC stated: "The 'Russell Rule' requires
Bill_Russell
Patent Office. 2:50 to 2:56 minutes in. Retrieved August 5, 2012. Rule 110 EPC Rule 108(3) EPC and R 5/08 EPO web site, Petitions for review under Art
Petition for review under the European Patent Convention
Petition_for_review_under_the_European_Patent_Convention
The men's 110 metres hurdles event at the 2023 Asian Athletics Championships was held on 13 and 14 July. Held on 13 July Qualification rule: First 3 in
2023 Asian Athletics Championships – Men's 110 metres hurdles
2023_Asian_Athletics_Championships_–_Men's_110_metres_hurdles
Mathematical rule for inverting probabilities
theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes (/beɪz/), gives a mathematical rule for inverting conditional probabilities,
Bayes'_theorem
Form of government with small ruling class
(from Ancient Greek ὀλιγαρχία (oligarkhía) 'rule by few'; from ὀλίγος (olígos) 'few' and ἄρχω (árkhō) 'to rule, command') is a form of government in which
Oligarchy
2002 film by Roger Avary
The Rules of Attraction is a 2002 dark comedy film written and directed by Roger Avary, based on Bret Easton Ellis' 1987 novel. The story follows three
The Rules of Attraction (film)
The_Rules_of_Attraction_(film)
Topics referred to by the same term
fantasy wargame published by International Team in 1980, with code W110. Rule 110, a Turing-complete one-dimensional cellular automaton. The small snub
W110
Political party in Hawaii, 1900–1912
The Hawaiian Independent Party (later renamed the Independent Home Rule Party), was a political party active in Hawaii from 1900 to 1912, during which
Home_Rule_Party_of_Hawaii
Sailboat class
fin-keeler was a breakthrough design of the late thirties. Rule changes, allowing a trapeze, enabled the 110 to win the Keel Division of the One-of-a-Kind Regatta
International_110
to 110 fu) if the rules allow a pair to have four fu when it is made of wind tiles that are both the seat wind and the prevailing wind. Some rules consider
Japanese mahjong scoring rules
Japanese_mahjong_scoring_rules
Turkish Empire (c. 1299–1922)
hypothesis has attracted broad acceptance. In the century after Osman I, Ottoman rule had begun to extend over Anatolia and the Balkans. The earliest conflicts
Ottoman_Empire
1983 Canadian film
Books. p. 7. "Spotlight on the music of Rock & Rule". Vol. 24, no. 3. Spin Magazine. March 2008. p. 110. {{cite magazine}}: Cite magazine requires |magazine=
Rock_&_Rule
The men's 110 metres hurdles competition at the 2012 Summer Olympics in London, United Kingdom was held at the Olympic Stadium on 7–8 August. Fifty-three
Athletics at the 2012 Summer Olympics – Men's 110 metres hurdles
Athletics_at_the_2012_Summer_Olympics_–_Men's_110_metres_hurdles
The men's 110 metres hurdles event at the 2017 European Athletics U23 Championships was held in Bydgoszcz, Poland, at Zdzisław Krzyszkowiak Stadium on
2017 European Athletics U23 Championships – Men's 110 metres hurdles
2017_European_Athletics_U23_Championships_–_Men's_110_metres_hurdles
Island in the Mediterranean and region of Italy
regions of Italy. It is located 200 kilometres (110 nautical miles) west of the Italian Peninsula, 200 km (110 nmi) north of Tunisia, and 16.5 km (9 nmi) south
Sardinia
President of the United States from 1825 to 1829
its political grip on Congress. He also led the fight to repeal the gag rule, which prevented the House of Representatives from debating petitions to
John_Quincy_Adams
Italian football club
striped shirt, black shorts, and white socks. The club broadcasts on channel 110 (Udinese Channel) on digital terrestrial television in the north-east of
Udinese_Calcio
Group of related team sports
Australian rules football; Gaelic football; gridiron football (specifically American football, arena football, or Canadian football); International rules football;
Football
UFC mixed martial arts event in 2017
Retrieved 9 June 2017. Staff (10 June 2017). "Thibault Gouti ruled out of UFC Fight Night 110 with illness hours before event". mmajunkie.com. Retrieved
UFC Fight Night: Lewis vs. Hunt
UFC_Fight_Night:_Lewis_vs._Hunt
Blockage of an artery in the lungs
with test results. If the risk is low, a blood test known as a D-dimer may rule out the condition. Otherwise, a CT pulmonary angiography, lung ventilation/perfusion
Pulmonary_embolism
American baseball player (born 1998)
Over 28 games (25 starts), he posted a 6–12 record with a 5.47 ERA and 110 strikeouts over 135 innings. He was selected to play in the Arizona Fall
Connor_Thomas
State administrative code
The Oregon Administrative Rules is organized by chapters, with each chapter representing a government agency (Chapter 110 for example is the Capitol
Oregon_Administrative_Rules
French general and emperor (1769–1821)
monarchy and nobility, and violently repressed popular uprisings against his rule. Napoleon's family was of Italian origin. His paternal ancestors, the Buonapartes
Napoleon
Rule in US criminal cases
the defendant. Such a use is prohibited by the rules of evidence. Jose G. Williams v. State of Florida, 110 So. 2d 654 (Fla. 1959). https://caselaw.findlaw
Williams_Rule
American mass media and entertainment conglomerate (2022–present)
April 23, 2026, the company agreed to be sold to Paramount Skydance in a US$110 billion transaction, subject to approval by U.S. regulators. On June 12,
Warner_Bros._Discovery
American streaming video service
and reached 100 million monthly active users in June 2025. and reached 110 million monthly active users in August 2026. The service was ranked 33rd
Tubi
Political situation in which everyone is subject to the law
The rule of law is a political and legal principle that generally entails and ensures that the law is clear, consistent and open; individuals and groups
Rule_of_law
Period of Indian history (1757–1858)
Company rule in India (sometimes also Company Raj, from Hindi rāj, lit. 'rule') was the rule of the British East India Company on the Indian subcontinent
Company_rule_in_India
French colony and later territory in Northern Africa from 1830 to 1962
Colonial Algeria, was a colony and later an integral part of France. French rule lasted from the beginning of the French conquest in 1830 until the end of
French_Algeria
Country in Southeast Europe
century. After falling under Ottoman Empire rule, Montenegro gained semi-autonomy in 1696 under the rule of the House of Petrović-Njegoš, first as a theocracy
Montenegro
Mid-engine sports car
The Bugatti EB 110 is a mid-engine sports car initially conceived by Paolo Stanzani in the mid 1980s and produced by Bugatti Automobili S.p.A. from 1991
Bugatti_EB_110
Traditional peninsular region in Greece
many earthquakes in the past. The longest river is the Alfeios in the west (110 km or 68 mi), followed by the Evrotas in the south (82 km or 51 mi), and
Peloponnese
Political system
authoritarian rule (16 February 2012), Independent. Misiunas, Romuald J. (1970). "Fascist Tendencies in Lithuania". Slavonic and East European Review. 48 (110): 88–109
Authoritarianism
Shorthand way of determining whether a given number is divisible by a fixed divisor
A divisibility rule is a shorthand and useful way of determining whether a given integer is divisible by a fixed divisor without performing the division
Divisibility_rule
Tiberian-Julian kings ruled as client kings of the Roman Empire until late antiquity. After several successive periods of rule by groups such as the Sarmatians
List of kings of the Cimmerian Bosporus
List_of_kings_of_the_Cimmerian_Bosporus
Islamic law
and Shariah Penal Code in Northern Nigeria", UN Human Rights Monitor, pp. 110–27 "MENA Gender Equality Profile – Status of Girls and Women in the Middle
Sharia
An Australian rules football playing field is a venue where Australian rules football is played. The playing field is typically a large oval-shaped grass
Australian rules football playing field
Australian_rules_football_playing_field
Estimate of total body surface area of burns
The Wallace rule of nines is a tool used in pre-hospital and emergency medicine to estimate the total body surface area (BSA) affected by a burn. In addition
Wallace_rule_of_nines
Team field sport
resemble a gridiron in appearance. Other major rule changes included a reduction of the field size to 110 by 53+1⁄3 yards (100.6 m × 48.8 m) and the adoption
American_football
6th-century Italian Catholic saint and monk
John Cassian (c. 360 – c. 435), it shows strong affinity with the earlier Rule of the Master, but it also has a unique spirit of balance, moderation and
Benedict_of_Nursia
government: first class and home rule. First class cities are permitted to operate only under the mayor-council, while home rule cities may operate under the
List_of_cities_in_Kentucky
Canadian-American comedian (born 1976)
Canada, to Hungarian parents who had escaped from Hungary in 1969 during the rule of the Hungarian People's Republic. Her family relocated to the United States
Christina_Pazsitzky
Largest Greek island
Greece. Crete was subsequently ruled by Rome, by the Byzantine Empire, briefly by Andalusian Arabs, restored to Byzantine rule, and later by the Venetian
Crete
Country in West Asia
religious polity. Following his death in 632, his followers expanded Muslim rule beyond Arabia, conquering territories in North Africa, Central, South Asia
Saudi_Arabia
This is a list of statutory rules made in the Northern Ireland in the year 2018. Law portal United Kingdom portal Northern Ireland portal List of acts
List of statutory rules of Northern Ireland, 2018
List_of_statutory_rules_of_Northern_Ireland,_2018
Queen of England and Ireland from 1553 to 1558
108. Porter, p. 143. Waller, p. 37. Porter, pp. 143–144; Whitelock, p. 110. Loades, p. 120; Waller, p. 39; Whitelock, p. 112. Loades, pp. 137–138; Whitelock
Mary_I
American science fiction film by Morten Tyldum
of Lawrence and Pratt were praised, and grossed $303 million against a $110–150 million budget. It was nominated for Best Original Score and Best Production
Passengers_(2016_film)
American boxer (born 1998)
champion in the four-belt era. The judges scored the bout 116–112, 116–112, 118–110, all in favor of Haney. The deal for the fight included an automatic rematch
Devin_Haney
The men's 110 metres hurdles event at the 2016 Summer Olympics took place between 15–16 August at the Olympic Stadium. Forty athletes from 27 nations
Athletics at the 2016 Summer Olympics – Men's 110 metres hurdles
Athletics_at_the_2016_Summer_Olympics_–_Men's_110_metres_hurdles
Ancient Indo-Aryan language of South Asia, mainly Indian subcontinent
is the Benares Sanskrit College founded in 1791 during East India Company rule. Sanskrit continues to be widely used as a ceremonial and ritual language
Sanskrit
Island in the Mediterranean, region of Italy
by a cadet branch, except for a brief period of Savoy and then Habsburg rule in 1713–1735. In 1816, the kingdom unified with the Kingdom of Naples to
Sicily
Annual award by the Academy of Motion Picture Arts and Sciences
changed so that the award was presented to all credited producers. This rule was modified in 1999 to apply a maximum limit of three producers receiving
Academy Award for Best Picture
Academy_Award_for_Best_Picture
Team sport played with a ball
Association football is played in accordance with the Laws of the Game, a set of rules that has been in effect since 1863 and maintained by the International Football
Association_football
Country in Southeast Asia and Oceania
Age of Discovery, followed by three and a half centuries of Dutch colonial rule, before Indonesia proclaimed its independence in the aftermath of World War
Indonesia
Season of television series
series House Rules began airing on 28 April 2019. The series is produced by the team who created the Seven reality show My Kitchen Rules. This is Johanna
House_Rules_season_7
organizations. It is the combination of the time zone and daylight saving rules, along with the timekeeping services, which determines the legal civil time
Time_in_the_United_States
United States federal law concerning health information
rules regarding Administrative Simplification: the Privacy Rule, the Transactions and Code Sets Rule, the Security Rule, the Unique Identifiers Rule,
Health Insurance Portability and Accountability Act
Health_Insurance_Portability_and_Accountability_Act
Chinese police presence abroad
"Overseas 110" or "110 Overseas" (Chinese: 海外110; pinyin: hǎiwài yāoyāolíng; lit. 'abroad 110'; alluding to China's emergency number for the police, 110), refer
Chinese police overseas service stations
Chinese_police_overseas_service_stations
American actor and comedian (1954–1977)
Marilyn (December 10, 1975). "Marilyn Beck (column)". Orlando Sentinel. p. 110. Retrieved March 29, 2018 – via newspaper.com. "Martial arts master went
Freddie_Prinze
Concept of an efficient kitchen layout
traffic passes behind the diner, allow 110 cm (44 in). Doherty, Ruth (2021-03-22). "The kitchen triangle – a layout rule to heed or ignore? Experts answer
Kitchen_work_triangle
Sequence of rulers considered members of the same family
Simon (2020). Ancient Maya Politics. Cambridge University Press. pp. 100–110. ISBN 978-1108483889. Geiger, Wilhelm (1912). Mahavamsa: The Great Chronicle
Dynasty
The men's 110 metres hurdles event at the 2019 Asian Athletics Championships was held on 23 and 24 April. Qualification rule: First 2 in each heat (Q)
2019 Asian Athletics Championships – Men's 110 metres hurdles
2019_Asian_Athletics_Championships_–_Men's_110_metres_hurdles
Brazilian businessman, athlete and football administrator (1916–2016)
the event before the 1976 Argentine coup d'état that saw a military junta rule the country. In 1982 Carlos Lacoste, former de facto president of Argentina
João_Havelange
Outdoor team stick and ball game
is between 69 and 72 mm (2.7 and 2.8 in) in diameter, and weighs between 110 and 120 g (3.9 and 4.2 oz) The goalkeeper's hurley/hurl usually has a bas
Hurling
Distinctive feature of Northern English and Scots
", Studia Anglica Posnaniensia, 40: 87–110. Klemola, Juhani (2000), "The origins of the Northern Subject Rule: a case of early contact", in Tristram,
Northern_Subject_Rule
This is a list of statutory rules made in the Northern Ireland in 2015. Law portal United Kingdom portal Northern Ireland portal List of acts of the Northern
List of statutory rules of Northern Ireland, 2015
List_of_statutory_rules_of_Northern_Ireland,_2015
Aschoff's Rules consist of three generalized statements that were first introduced by Jürgen Aschoff. These rules are fundamental in the field of chronobiology
Aschoff's_Rules
Skyscraper in the City of London, England
London planning committee made it clear they would rule in favour of the property being officially named 110 Bishopsgate, although the application was withdrawn
Heron_Tower
France was ruled by monarchs from the establishment of the kingdom of West Francia in 843 until the end of the Second French Empire in 1870, with several
List_of_French_monarchs
King of England from 1216 to 1272
settlement negotiated by the Catholic Church. Following the revolt, Henry ruled England personally, rather than governing through senior ministers. He travelled
Henry_III_of_England
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RULE 110
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RULE 110