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Block design in combinatorial mathematics
a Steiner system (named after Jakob Steiner) is a type of block design, specifically a t-design with λ = 1 and t = 2 or (recently) t ≥ 2. A Steiner system
Steiner_system
Collection of subsets covering all t-element subsets
{\displaystyle C(v,k,t)} . Covering designs generalize the notion of a Steiner system and are dual to the concept of a packing design. They have connections
Covering_design
Five sporadic simple groups
equivalence a unique S(5,8,24) Steiner system W24 (the Witt design). The group M24 is the automorphism group of this Steiner system; that is, the set of permutations
Mathieu_group
Educational philosophy
Waldorf education, also known as Steiner education, is based on the educational philosophy of Rudolf Steiner, the founder of anthroposophy. Its educational
Waldorf_education
Topics referred to by the same term
S. Steiner's theorem, or parallel axis theorem Steiner tree Poncelet–Steiner theorem Steiner surface Steiner system, a type of block design Steiner point
Steiner
Austrian esotericist (1861–1925)
all biographies of Steiner are hagiography, except the books by Gebhardt, Ullrich, and Zander. Steiner's father, Johann(es) Steiner (1829–1910), left a
Rudolf_Steiner
Swiss mathematician (1796–1863)
Jakob Steiner (18 March 1796 – 1 April 1863) was a Swiss mathematician who worked primarily in geometry. Steiner was born in the village of Utzenstorf
Jakob_Steiner
Sporadic simple group
constructed M24 as the automorphism (symmetry) group of an S(5,8,24) Steiner system W24 (the Witt design). M24 is the group of permutations that map every
Mathieu_group_M24
Natural number
The supports of its codewords of weight 8, called octads, form the Steiner system S ( 5 , 8 , 24 ) {\displaystyle S(5,8,24)} , also known as the Witt
24_(number)
Geometry with 7 points and 7 lines
matrix (table) is given by: The Fano plane, as a block design, is a Steiner triple system. As such, it can be given the structure of a quasigroup. This quasigroup
Fano_plane
Combinatorics problem proposed by Thomas Penyngton Kirkman
Kirkman triple system, which is a Steiner triple system having a parallelism, that is, a partition of the blocks of the triple system into parallel classes
Kirkman's_schoolgirl_problem
Type of linear error-correcting code
called dodecads. Octads of the code G24 are elements of the S(5,8,24) Steiner system. There are 759 = 3 × 11 × 23 octads and 759 complements thereof. It
Binary_Golay_code
Sporadic simple group
the alternating group A6). This action is the automorphism group of a Steiner system S(4,5,11). The induced action on unordered pairs of points gives a rank
Mathieu_group_M11
American professional wrestler (born 1961)
professional wrestler and politician, better known by the ring name Rick Steiner. Steiner is best known for his tenure with World Championship Wrestling (WCW)
Rick_Steiner
Independent private schools in Australia
schools as Steiner streams. Steiner schools in Australia are represented by Steiner Education Australia, a not-for-profit organisation. Steiner Education
Steiner_Schools_Australia
On short connecting nets with added points
In combinatorial mathematics, the Steiner tree problem, or minimum Steiner tree problem, named after Jakob Steiner, is an umbrella term for a class of
Steiner_tree_problem
Sporadic simple group
stabilizer the group PSL3(4), sometimes called M21. This action fixes a Steiner system S(3,6,22) with 77 hexads, whose full automorphism group is the automorphism
Mathieu_group_M22
Mathematics problem
process to an area in the search space with no solution. The SGP is the Steiner system S(2,4,32) because 32 golfers are divided into groups of 4 and both the
Social_golfer_problem
Strongly regular graph
regular graph with parameters (77, 16, 0, 4). It is constructed from the Steiner system (3, 6, 22) by representing its 77 blocks as vertices and joining two
M22_graph
Japanese visual novel video game
determine changes between different timelines, which he dubs "Reading Steiner"; the reasoning behind this is never explained in-universe, although it
Steins;Gate
Natural number
with six vertices (and fifteen edges) K6, which yields 132 blocks in Steiner system S(5,6,12). Refers to the Yo Soy 132 movement to vote in 2012 Mexican
132_(number)
German-Brazilian politician and public servant
Dams. The son of Helga and Roland Steiner, German farmers who had emigrated to Carazinho, Rio Grande do Sul, Achim Steiner was born in Brazil in 1961 and
Achim_Steiner
Polish mathematician (1926–2012)
Rokowska (1926–2012) was a Polish mathematician known for her work on Steiner systems and certain problems posed by Paul Erdős. She was a professor at Wrocław
Barbara_Rokowska
Construction in group theory
which PSL(3, 4) acts. One calls this Steiner system W21 ("W" for Witt), and then expands it to a larger Steiner system W24, expanding the symmetry group
Projective_linear_group
Japanese anime television series
intelligence system Amadeus. The series was directed by Kenichi Kawamura, and written by Jukki Hanada, who also wrote the original Steins;Gate anime; the
Steins;Gate_0_(TV_series)
American track and field athlete
December 16, 2022. Abby Steiner at World Athletics Abby Steiner at www.USATF.org Abby Steiner at TFRRS Kentucky Wildcats bio Abby Steiner on Instagram
Abby_Steiner
Number in combinatorial design
{n}{r}}{\binom {k}{r}}^{-1}.} Equality holds if and only if there exists a Steiner system S ( n − k , n − r , n ) {\displaystyle S(n-k,n-r,n)} . An ( n , r ,
Turán_number
Sporadic simple group
(2,10)(3,4)(5,9)(6,7). This permutation representation preserves a Steiner system S(5,6,12) of 132 special hexads, such that each pentad is contained
Mathieu_group_M12
Spiritual and pseudoscientific philosophy
Steiner, promoted a distinct program of Orthodox Church-Georgian State cooperation in such spheres as education. It is interesting that "Steinerism"
Anthroposophy
hexadic, commutes with 6 basic ones. The sets of 6 form an S(3,6,22) Steiner system, whose symmetry group is M22. A basic set generates an abelian group
Fischer_group
Branch of discrete mathematics
proposed in 1850. The solution of the problem is a special case of a Steiner system, which play an important role in the classification of finite simple
Combinatorics
Upper bound on intersecting set families
Sperner's theorem, an upper bound on families of pairwise non-nested sets Steiner system, maximum-sized uniform set families in which no pair (rather than every
Erdős–Ko–Rado_theorem
Method for encoding data in communications
theory is closely connected to that of designs (such as t-designs and Steiner systems). Most of the work on this field of discrete mathematics is concerned
Constant-weight_code
Social classification practised in India
this system are the oppressed, marginalised, and persecuted Dalits (also known as "Untouchables") and Adivasis (tribals). Over time, the system became
Caste_system_in_India
Hermann Steiner (1913 - 14 November 2005) was a Swiss inventor and businessman. In 1944, Steiner opened his carpenters shop in Liestal, Switzerland. He
Hermann_Steiner
Building in Vienna, Austria
48°11′02″N 16°16′59″E / 48.18389°N 16.28317°E / 48.18389; 16.28317 Steiner House is a building in Vienna, Austria. It is considered one of the major
Steiner_House
American mathematician (1879–1967)
that there are infinitely many of them. Carmichael also described the Steiner system S(5,8,24) in his 1931 paper Tactical Configurations of Rank 2 and his
Robert_Daniel_Carmichael
Matroid without short circuits
complete graph K 4 {\displaystyle K_{4}} is paving but not uniform. A Steiner system S ( t , k , v ) {\displaystyle S(t,k,v)} is a pair ( S , D ) {\displaystyle
Paving_matroid
Circumellipse of a triangle whose center is the triangle's centroid
centroid. It is also called the Steiner circumellipse, to distinguish it from the Steiner inellipse. Named after Jakob Steiner, it is an example of a circumconic
Steiner_ellipse
French author
1952 he was adopted, together with his sister Josée Steiner and elder brother Olivier Cohen-Steiner by his mother's second husband, a physician. He is
Jean-François_Steiner
Geometric concept of a 2D space with "points at infinity" adjoined
plane of order N is a Steiner S(2, N + 1, N2 + N + 1) system (see Steiner system). Conversely, one can prove that all Steiner systems of this form (λ = 2)
Projective_plane
American politician and physician (born 1950)
state". In a 2024 interview with Haaretz, Stein said the Green Party was an alternative to the "rigid two-party system [in which] both parties are widely regarded
Jill_Stein
Type of triangle center
Jakob Steiner (1796–1863), Swiss mathematician, described this point in 1826. The point was given Steiner's name by Joseph Neuberg in 1886. The Steiner point
Steiner_point_(triangle)
Graph where every edge is in one triangle
partial Steiner triple systems; and the locally linear graphs are exactly the Gaifman graphs of these hypergraphs or partial Steiner systems. Many constructions
Locally_linear_graph
Historic cable car system in San Francisco, California
Francisco cable car system is the world's last manually operated cable car system and an icon of the city of San Francisco, California. The system forms part of
San Francisco cable car system
San_Francisco_cable_car_system
United States historic place
"National Register Information System". National Register of Historic Places. National Park Service. November 2, 2013. "John Steiner Store". LandmarkHunter.com
John_Steiner_Store
Set of circles related by tangency
cases, the centers of Steiner-chain circles lie on an ellipse or a hyperbola, respectively. Steiner chains are named after Jakob Steiner, who defined them
Steiner_chain
Organ system for circulating blood in animals
In vertebrates, the circulatory system is a system of organs that includes the heart, blood vessels, and blood which is circulated throughout the body
Circulatory_system
Strongly regular graph
between every two non-adjacent vertices. It can be obtained from a Steiner system S ( 3 , 6 , 22 ) {\displaystyle S(3,6,22)} (a collection of 22 elements
Cameron_graph
Variant of the Steiner tree problem in geometry and combinatorics
The rectilinear Steiner tree problem, minimum rectilinear Steiner tree problem (MRST), or rectilinear Steiner minimum tree problem (RSMT) is a variant
Rectilinear_Steiner_tree
American author (1874–1946)
Gertrude Stein (February 3, 1874 – July 27, 1946) was an American novelist, poet, playwright, and art collector. Born in Allegheny, Pennsylvania (now
Gertrude_Stein
American multinational technology company
search results returned by Google is based, in part, on a priority rank system called PageRank which was originally developed in 1996 by Larry Page, Sergey
Second election of Donald Trump
engaged in an unprecedented legal campaign targeting the American voting system", by restricting voting for partisan advantage ahead of Election Day and
2024 United States presidential election
2024_United_States_presidential_election
Monophonic analog synthesizer
The Steiner-Parker Synthacon is a monophonic analog synthesizer that was built between 1975 and 1979 by Steiner-Parker, a Salt Lake City-based synthesizer
Steiner-Parker_Synthacon
Form of government
A presidential system, or single-executive system (sometimes also congressional system) is a form of government in which a head of government (usually
Presidential_system
American film rating system
system is used in the United States and its territories to rate a motion picture's suitability for certain audiences based on its content. The system
Motion Picture Association film rating system
Motion_Picture_Association_film_rating_system
President of the United States from 2009 to 2017
Iraq War, increasing energy independence, and reforming the health care system. Numerous candidates entered the Democratic Party presidential primaries
Barack_Obama
Country in Southeastern Europe and West Asia
of sixty-five. The three-branch system is known as the presidential system, in contrast to the parliamentary system where the executive is part of the
Turkey
graph can be constructed as follows. Consider the unique S(3, 6, 22) Steiner system, with 22 elements and 77 blocks. Choose an arbitrary element, and let
Gewirtz_graph
International education policy academic
Gita Steiner-Khamsi is the William Heard Kilpatrick Professor of Comparative Education at Teachers College and the Graduate School of Arts and Sciences
Gita_Steiner-Khamsi
schools and others are called ‘Steiner’ schools. In the chaotic circumstances of post-World War I Germany, Rudolf Steiner had been giving lectures on his
History_of_Waldorf_schools
Permutation group Rubik's Cube group Space group Stabilizer subgroup Steiner system Strong generating set Symmetry Symmetric group Symmetry group Wallpaper
List_of_group_theory_topics
Census-designated place in Texas, United States
centers and trails. Steiner Ranch first appeared as a census-designated place in the 2020 census. As of the 2020 census, Steiner Ranch had a population
Steiner_Ranch,_Texas
Country in South Asia
100–101. Stein 2010, p. 99. Stein 2010, pp. 115–116. Stein 2010, pp. 116–117. Stein 2010, p. 118. Stein 2010, pp. 118–119. Stein 2010, pp. 121–123. Ludden
India
Totality of psychological phenomena
53–55 Spradlin & Porterfield 2012, pp. 17–18 Carruthers 2019, pp. 29–30 Steiner 2014, p. 93 Thomas 2020, pp. 999–1000 Griffin 2013, p. ix Carruthers 2019
Mind
bound is desirable in various applications, such as Steiner triple system. A Steiner Triple System is a 3-uniform, simple hypergraph in which every pair
Packing_in_a_hypergraph
Country in Eastern Europe and North Asia
Colonisation of the Black Sea Area: Historical Interpretation of Archaeology. F. Steiner. p. 48. ISBN 978-3-515-07302-8. Turchin, P. (2003). Historical Dynamics:
Russia
American computer scientist
research on the Euclidean minimum Steiner trees, including an attempted proof of the Gilbert–Pollak conjecture on the Steiner ratio, and the existence of a
Ding-Zhu_Du
Number expressed in the base-2 numeral system
binary number is a number expressed in the base-2 numeral system or binary numeral system, a method for representing numbers that uses only two symbols
Binary_number
System or group governing an organized community
Taming Politics: Plato and the Democratic Roots of Tyrannical Man. Franz Steiner Verlag. p. intro. ISBN 978-3-515-12457-7. OCLC 1107421360. Hobbes, Thomas
Government
Multifunction weapon mounted IR laser aiming module
2023-11-24. "About Us | Steiner High-Quality Optics". www.steiner-optics.com. Retrieved 2025-09-04. "AN/PEQ-15A DBAL-A3 Steiner – Will's Optics". Retrieved
AN/PEQ-15
Hormonal disorder in women
on PMOS risk. Hormone disruptors are chemicals that disturb the hormonal system by blocking or mimicking natural hormones. Of these, bisphenol A and phthalates
Polyendocrine metabolic ovarian syndrome
Polyendocrine_metabolic_ovarian_syndrome
Part of an animal that coordinates actions and senses
In biology, the nervous system is the highly complex part of an animal that coordinates its actions and sensory information by transmitting signals to
Nervous_system
craters (4.7%) Šteins: 23 craters (6.4%) Vesta: 90 craters (24.9%) This is a list of all named craters on minor planets in the Solar System as named by
List of craters on minor planets
List_of_craters_on_minor_planets
CNS stimulant and isomer of amphetamine
doi:10.1146/annurev.neuro.29.051605.113009. PMID 16776597. S2CID 15139406. Steiner H, Van Waes V (January 2013). "Addiction-related gene regulation: risks
Dextroamphetamine
Unincorporated community in Mississippi, United States
Sunflower County, Mississippi. Steiner is located on Steiner-Boyer Road and is approximately 2.5 miles (4.0 km) south of Steiner and approximately 4 miles
Roundaway, Sunflower County, Mississippi
Roundaway,_Sunflower_County,_Mississippi
Sporadic simple group
22 and 77 points. (The latter representation arises because the M22 Steiner system has 77 blocks.) By putting together these two representations, they
Higman–Sims_group
Sparse array Sperner family Sperner's lemma Stable marriage problem Steiner system Stirling number Stirling transform String algorithm Straddling checkerboard
Index of combinatorics articles
Index_of_combinatorics_articles
Chaotic dynamical system, a type of "billiards"
needed] Frank Steiner argues that Hadamard's study should be considered to be the first-ever examination of a chaotic dynamical system, and that Hadamard
Hadamard's_dynamical_system
Unincorporated community in Mississippi, United States
Steiner is an unincorporated community located in Sunflower County, Mississippi. Steiner is located on Mississippi Highway 442 and is approximately 2.5
Steiner,_Mississippi
Computer algebra system
Retrieved 4 April 2017. Stein, William. "SAGE: A Computer System for Algebra and Geometry Experimentation". Retrieved 30 March 2012. Stein, William (12 June
SageMath
American immunologist
Lisa Steiner from MIT Video "Colleagues honor Professor Lisa Steiner of biology". MIT News. 30 May 2008. Retrieved 5 August 2016. "Lisa A. Steiner". MIT
Lisa_Steiner
Private university college in Oslo, Norway
Rudolf Steiner University College (Norwegian: Rudolf Steinerhøyskolen; RSH) is a state-accredited and state-funded private university college in Oslo
Rudolf Steiner University College
Rudolf_Steiner_University_College
British mathematician (born 1978)
his work provides the first examples of Steiner systems with parameter t ≥ 6 (and in fact provides such systems for all t). In 2018, he was an invited
Peter_Keevash
Capital city of the United States
were enrolled in the public school system. DCPS has one of the highest-cost, yet lowest-performing school systems in the country, in terms of both infrastructure
Washington,_D.C.
Most populous city in California, US
Highway System during the 1950s and 1960s helped propel suburban growth and signaled the demise of the city's privately owned electrified rail system, once
Los_Angeles
2007 video game
Resembles a crowbar. Protagonist Rob Steiner, or Prisoner #1809, has been transferred to Ashdown Hole State Penitentiary. Steiner has been accused of and sentenced
Touch_the_Dead
Medical condition
Craniodiaphyseal dysplasia (CDD), also known as lionitis, is an extremely rare autosomal recessive bone disorder that causes calcium to build up in the
Craniodiaphyseal_dysplasia
South African–American entrepreneur and executive
and technology partners on systems design, strategy, and the scaling of regenerative and civic-focused initiatives. Stein has held senior leadership roles
Lara_Stein
Country in East Asia
founded the Qin dynasty. He led an autocratic Legalist state organized in a system of commanderies and counties. The dynasty lasted only fifteen years, falling
China
Epic poem attributed to Homer
Wilson 2018, p. 86. Wilson 2017. Curran 1996, pp. 173–175. Steiner 1975, p. 266. Steiner 1975, p. 259. Candler Hayes 2025, p. 168. Candler Hayes 2025
Odyssey
Legal system originating in Western Europe
Routledge, 2001), 308. Michel Fromont, Grands systèmes de droit étrangers, 4th edn. (Paris: Dalloz, 2001), 8. Steiner, Eva (2018). "Codification". French Law
Civil_law_(legal_system)
South African writer
Hamerton was educated early at a Waldorf school (based on the Rudolf Steiner system).[citation needed] He matriculated from South African College Schools
Greg_Hamerton
Field of mathematics and science based on non-linear systems and initial conditions
de Mathématiques Pures et Appliquées. 4: 27–73. Aurich, R.; Sieber, M.; Steiner, F. (1 August 1988). "Quantum Chaos of the Hadamard–Gutzwiller Model" (PDF)
Chaos_theory
System for ordering algorithmic trades
An automated trading system (ATS), a subset of algorithmic trading, uses a computer program to create buy and sell orders and automatically submits the
Automated_trading_system
Method by which voters make a choice between options
An electoral system is a set of rules and mechanisms used to determine the results of an election. Electoral systems are used in politics to elect governments
Electoral_system
Philosophical treatise by Rudolf Steiner
title Steiner proposed for the English-language translation), The Philosophy of Freedom, and Intuitive Thinking as a Spiritual Path. "Steiner was a moral
The_Philosophy_of_Freedom
2011 book by Daniel Kahneman
differentiation between two modes of thought: "System 1" is fast, instinctive and emotional; "System 2" is slower, more deliberative, and more logical
Thinking,_Fast_and_Slow
Dictator of Germany from 1933 to 1945
and under-equipped Armeeabteilung Steiner (Army Detachment Steiner), commanded by Felix Steiner. Hitler ordered Steiner to attack the northern flank of
Adolf_Hitler
Twenty-fourth letter of the Latin alphabet
roman numerals. King, David A. (2001). The Ciphers of the Monks. Franz Steiner Verlag. p. 282. ISBN 9783515076401. Archived from the original on 4 January
X
travel, tourism, insurance
STEINER SYSTEM
STEINER SYSTEM
Surname or Lastname
English
English : occupational name for a maker of string or bow strings, from an agent derivative of Middle English streng ‘string’. In Yorkshire, where it is still particularly common, Redmonds argues that the surname may have been connected with iron working, a stringer having operated some form of specialist hearth.
Surname or Lastname
English (mainly Devon) and German
English (mainly Devon) and German : from Middle English steer, Middle Low German stēr ‘bullock’, hence a nickname for a truculent person or a metonymic occupational name for someone who was responsible for tending cattle.South German : from Middle High German ster ‘ram’, probably a nickname for a hard-nosed, stubborn person.
Male
Norse
Old Norse name derived from the word steinn, STEINN means "stone."
Surname or Lastname
English (mainly Sussex)
English (mainly Sussex) : habitational name from Stepney in London, named probably with an unattested Old English personal name, Stybba (genitive Stybban) + h̄þ ‘hythe’, ‘landing place’.
Male
German
Pet form of Old High German Heinrich, HEINER means "home-ruler."
Female
Yiddish
Variant spelling of Yiddish Sheina, SHEINE means "beautiful."
Surname or Lastname
English (Sussex)
English (Sussex) : topographic name for someone who lived in a stone-built house (see Stone), with the habitational or agent suffix -er.Translation of German Steiner.
Surname or Lastname
English
English : unexplained.Americanized spelling of Scheiner.
Surname or Lastname
English
English : habitational name from a place on the Thames west of London, apparently named with the plural of Old English stÄn ‘stone’. The reference may be to milestones on the Roman road that ran through the town.
Male
Norwegian
Norwegian form of Old Norse Steinn, STEIN means "stone."
Surname or Lastname
English
English : occupational name for a maker of thread or twine, an agent derivative of Old English twīnen ‘to twine’.
Boy/Male
German
Sone.
Surname or Lastname
English
English : occupational name for someone who cut and dressed stone, Middle English stanyer, stonier ‘stonecutter’ (from stan, ston ‘stone’ + a reduced form of hewer, agent derivative of hew(en) ‘to cut, chop’, assimilated to the agent suffix -(i)er).
Surname or Lastname
English
English : occupational name for a stonemason or stonecutter, or a topographic name for someone who lived on stony ground, from a derivative of Middle English stene ‘stony place’. Compare Stone.
Boy/Male
Australian, Danish, Norwegian, Swedish
Stone Fighter
Surname or Lastname
English
English : habitational name for someone from places so named in West Yorkshire and Lancashire, or from High Spen in County Durham.German : from Middle High German spanner, an occupational name for someone whose work involved pulling, tensioning, or tightening, for example a carter.
Surname or Lastname
English
English : unexplained.possibly an altered form of German Stenger.
Surname or Lastname
English
English : from an agent derivative of Middle English strike(n) ‘to stroke, smooth’, applied as an occupational name for someone whose job was to fill level measures of grain by passing a flat stick over the brim of the measure, thus removing any heaped excess.
Male
German
Variant spelling of German Rainer, REINER means "wise warrior."
Surname or Lastname
English
English : variant of Lanier 1.Dutch : variant of Leonard.Jewish (western Ashkenazic) : name taken by someone who was good at chanting the Pentateuch at public worship in the synagogue or who regularly did so, from West Yiddish layner ‘reader’ (a derivative of West Yiddish laynen ‘to read’, which comes ultimately from Latin legere ‘to read’).Jewish (Ashkenazic) : occupational name for a flax grower or merchant, from German Lein ‘flax’ + agent suffix -er.
STEINER SYSTEM
STEINER SYSTEM
STEINER SYSTEM
STEINER SYSTEM
STEINER SYSTEM
STEINER SYSTEM
STEINER SYSTEM
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