OpenLLM-France/wikimedia huggingface dataset:
# Schläfli graph

In the mathematical field of graph theory, the Schläfli graph, named after Ludwig Schläfli, is a 16-regular undirected graph with 27 vertices and 216 edges. It is a strongly regular graph with parameters srg(27, 16, 10, 8).

## Construction

The intersection graph of the 27 lines on a cubic surface is a locally linear graph that is the complement of the Schläfli graph. That is, two vertices are adjacent in the Schläfli graph if and only if the corresponding pair of lines are skew.
The Schläfli graph may also be constructed from the system of eight-dimensional vectors
    (1, 0, 0, 0, 0, 0, 1, 0),
    (1, 0, 0, 0, 0, 0, 0, 1), and
    (−1/2, −1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2),
and the 24 other vectors obtained by permuting the first six coordinates of these three vectors. These 27 vectors correspond to the vertices of the Schläfli graph; two vertices are adjacent if and only if the corresponding two vectors have 1 as their inner product.
Alternately, this graph can be seen as the complement of the collinearity graph of the generalized quadrangle GQ(2, 4).

## Subgraphs and neighborhoods

The neighborhood of any vertex in the Schläfli graph forms a 16-vertex subgraph in which each vertex has 10 neighbors (the numbers 16 and 10 coming from the parameters of the Schläfli graph as a strongly regular graph). These subgraphs are all isomorphic to the complement graph of the Clebsch graph. Since the Clebsch graph is triangle-free, the Schläfli graph is claw-free. It plays an important role in the structure theory for claw-free graphs by Chudnovsky & Seymour (2005).
Any two skew lines of these 27 belong to a unique Schläfli double six configuration, a set of 12 lines whose intersection graph is a crown graph in which the two lines have disjoint neighborhoods. Correspondingly, in the Schläfli graph, each edge uv belongs uniquely to a subgraph in the form of a Cartesian product of complete graphs K$_6$ $\square$ K$_2$ in such a way that u and v belong to different K$_6$ subgraphs of the product. The Schläfli graph has a total of 36 subgraphs of this form, one of which consists of the zero-one vectors in the eight-dimensional representation described above.

## Ultrahomogeneity

A graph is defined to be k-ultrahomogeneous if every isomorphism between two of its induced subgraphs of at most k vertices can be extended to an automorphism of the whole graph. If a graph is 5-ultrahomogeneous, it is ultrahomogeneous for every k; the only finite connected graphs of this type are complete graphs, Turán graphs, 3 × 3 rook's graphs, and the 5-cycle. The infinite Rado graph is countably ultrahomogeneous. There are only two connected graphs that are 4-ultrahomogeneous but not 5-ultrahomogeneous: the Schläfli graph and its complement. The proof relies on the classification of finite simple groups.
# Ruben Altunyan

Ruben Tatuli Altunyan (Armenian: Ռուբեն Թաթուլի Ալթունյան; 31 March 1939 – 21 November 2021) was an Armenian composer, violist, and conductor. He was the son of conductor Tatul Altunyan.

## Selected works

* String Quartet No. 1 (1962)
* Perpetuum Mobile (Անընդհատ շարժում) for violin and piano (1964)
* Concerto-Symphony (Կոնցերտ-Սիմֆոնիա; Концерт-Симфония) for violin, viola and symphony orchestra (1966)
* Sonata for violin and piano (1966)
* Sonata for cello solo (1977)
* Symphony (1980)
* String Quartet No. 2 (1996)
* Symphony for chamber orchestra (1997)
* Tamzara (Թամզարա) for symphony orchestra (2004)
* Book of Lamentations (Մատյան ողբերգության), Ballet-Oratorio after Gregory of Narek (2010)
* Piano Trio (2012)
* Khachatriana (Խաչատրիանա) for chamber orchestra (2013)
# Scopula alma

Scopula alma is a moth of the family Geometridae. It was described by Prout in 1920. It is endemic to Kenya.
# Millinder

Millinder is a surname. Notable people with the surname include:
* Jim Millinder (born 1958), American soccer player and coach
* Lucky Millinder (1910–1966), American jazz musician
# Scleroderma-like reaction to taxanes

Scleroderma-like reaction to taxanes may occur in patients treated with docetaxel or paclitaxel, characterized by an acute, diffuse, infiltrated edema of the extremities and head.$^{:132}$
# Northall

Northall is a hamlet in the parish of Edlesborough, in Buckinghamshire, England.
This large hamlet straddles the A4146 road halfway between Edlesborough and Billington, Bedfordshire. It has one large Baptist chapel which is still in use. The hamlet has one public house 'The Swan'. An old 16th century public house 'the Village Green' was converted to a private house.
The village was formerly part of the Ashridge Estate of the Earls and Dukes of Bridgwater. Like nearby Slapton it has a few very high gabled cottages, with thickly latticed window panes.
# Mangifera rufocostata

Mangifera rufocostata (locally called asem kiat) is a species of plant in the family Anacardiaceae. It is a tree found in Sumatra, Peninsular Malaysia and Borneo.
# Breathing the Fire

Professional ratings :
| Review scores ||
| Source | Rating |
| Allmusic | |
| Lords of Metal | |
| Metal 1 | |
Breathing the Fire is the third studio album by American extreme metal band Skeletonwitch. It was released on October 13, 2009. The first album to feature bassist Evan Linger.

## Personnel
### Skeletonwitch

* Chance Garnette – vocals
* Nate "N8 Feet Under" Garnette – guitars
* Scott "Scunty D." Hedrick – guitars
* Evan "Loosh" Linger – bass
* Derrick "Mullet Chad" Nau – drums
# HD 165516

HD 165516 is a blue supergiant star in the constellation Sagittarius. It is part of the Sagittarius OB1 association and appears against a rich Milky Way starfield near the Triffid Nebula and Lagoon Nebula.
HD 165516 is close to a small reflection and emission nebula, and an associated loose open cluster. The nebula is catalogued as GN 18.05.6, but was first listed as VdB 113. That name has since been used for the cluster itself, which is likely more distant than HD 165516. The whole cluster is less than a quarter of a degree across, with dozens of members from 8th magnitude downwards. V4381 Sagittarii is listed as a probable member, while HD 165516 and the nearby Wolf-Rayet star WR 111 are considered unlikely to be members.
# Sheriffs in South Africa

Sheriffs in South Africa are officers of the court and function as the executive arm of the court. They are responsible for serving court processes like summonses and subpoenas. They play an important role in the execution of court orders like the attachments of immovable and movable property; evictions, demolitions etc. The Sheriffs Act 90 of 1986, which came into operation on 1 March 1990, governs the sheriffs' profession. A sheriff is appointed by the Minister of Justice and Correctional Services in terms of Section 2 of the Act.

## South African Board for Sheriffs

The South African Board for Sheriffs is a statutory body established under section 7 of the Sheriffs Act and consists of 11 members appointed by the Minister of Justice and Correctional Services. The Executive Manager of the Board, Sharon Snell is responsible for the day-to-day operations. The Board has as its main responsibility to safeguard the interests of the general public against abuse by the sheriffs. The Board has disciplinary authority over sheriffs and deputy sheriffs.

## Fiduciary duty

Sheriffs are in a position of trust and collect and receive trust moneys belonging to third parties. Sheriffs have to open and maintain a separate trust account wherein all trust moneys are deposited which they hold or receive on behalf of third parties. Trust moneys do not form part of the assets of the sheriffs estate in the event of insolvency or death.

## Fidelity Fund for Sheriffs

Section 26 of the Act created the Fidelity Fund for Sheriffs. The Fidelity Fund is controlled and managed by the Board. Its purpose is to compensate persons who suffer a loss due to the inappropriate actions of a sheriff.
# Lucy Moore

Lucy Moore may be:
* Lucy Moore (archaeologist), British archaeologist and Wikipedia editor
* Lucy Moore (botanist) (1906–1987), New Zealand botanist
* Lucy Moore (historian) (born 1970), British historian
# NGC 6845

NGC 6845 (also known as Klemola 30) is an interacting system of four galaxies in the constellation Telescopium. The cluster has certain similarities with Stephan's Quintet. Its distance is estimated to be about 90 Mpc.
The components of the galaxy cluster are the two spiral galaxies NGC 6845A and NGC 6845B as well as the two lenticular galaxies NGC 6845C and NGC 6845D. The four galaxies occupy an area of about 4' x 2' in the sky. The largest galaxy in this compact galaxy cluster is NGC 6845A, a barred spiral galaxy. SN 2008DA was a Type II supernova observed in NGC 6845A in June 2008. The dwarf galaxy ATCA J2001-4659, which is found around 4.4' northeast of NGC 6845B, was identified as a companion of NGC 6845.
NGC 6845 was discovered on July 7, 1834 by John Herschel.
# Maputo Corridor

The Maputo Corridor is a major trade corridor which connects the Gauteng, Limpopo, and Mpumalanga provinces of South Africa with Maputo, which is a port and the capital of Mozambique.
The corridor comprises roads - including the N4 toll road (from Pretoria to Komatipoort) - and railways, ports, and border facilities at Komatipoort, which connect the industrial areas around Gauteng, and mines and agricultural districts to the east, with ports on the Mozambique coast. Maputo and Matola are both deepwater ports.
Transport organisations and border control agencies are cooperating to improve transport and lower barriers to trade.

## History

The corridor was first planned in 1994, as a rehabilitation project for disused transport links. Since then, the project has broadened, new parties have become involved, and over $5 billion invested.

## Participants

* Caminhos de ferro do Moçambique
* The government of Eswatini has also joined the project.
* Transnet Freight Rail is a stakeholder, but has been criticised by other stakeholders and is reluctant to invest in the project.
# Manuel Almeida

Manuel Almeida may refer to:
* Manuel de Almeida (1580–1646), native of Viseu and Jesuit missionary
* Manuel Almeida (equestrian) (born 1993), Brazilian equestrian
* Manuel Almeida Campos (born 1981), Portuguese gymnast
# Robert Bulkeley, 2nd Viscount Bulkeley

Robert Bulkeley, 2nd Viscount Bulkeley of Cashel (died 18 October 1688) was a British peer and politician.
He was born the second son of Thomas Bulkeley, 1st Viscount Bulkeley of Baron Hill, Beaumaris and inherited the title from his father after his elder brother Richard was murdered. His mother was Blanche Cotymore, daughter of Richard Cotymore.
He was appointed Sheriff of Anglesey for 1658 and elected the Member of Parliament for Anglesey for 1660–1661, Caernarvonshire, 1675–1679, and Anglesey for the second time from 1685 to 1689.
He married Sarah, the daughter of Daniel Hervey of Coombe in Surrey. They had three sons and six daughters. He was succeeded by his eldest son Richard. Of his younger sons, Robert Bulkeley (died 1702), became MP for Beaumaris and Thomas became MP for Caernarvonshire.
# Robert Savage (racing driver)

Robert Savage is a racing driver from County Meath, Ireland.
In 2015 Robert won Irish Touring Cars Championship in Super Touring 2.0 class.
# Many Shades of Blue

Many Shades of Blue is an album by American trumpeter Blue Mitchell released on the Mainstream label in 1974.

## Reception

The Allmusic review awarded the album 2 stars.
Professional ratings :
| Review scores ||
| Source | Rating |
| Allmusic | |

## Track listing

All compositions by David Matthews
* "Where It's At" - 3:30
* "Harmony of the Underworld" - 5:50
* "Funky Walk" - 4:36
* "Blue Funk" - 4:37
* "Golden Feathered Bird" - 4:04
* "Beans and Taters" - 4:25
* "Funny Bone" - 3:37
* "Hot Stuff" - 3:55

## Personnel

* Blue Mitchell, Jim Bossy, Jon Faddis, Marky Markowitz - trumpet
* Joe Farrell - flute, tenor saxophone
* Seldon Powell - tenor saxophone, baritone saxophone
* Frank Vicari - tenor saxophone
* Joe Beck, John Tropea - guitar, acoustic guitar
* Sam Brown - acoustic guitar
* Wilbur Bascomb, Michael Moore - electric bass
* Jimmy Madison - drums
* David Matthews - arranger and conductor
# Robert Lane

Robert Lane or Bob Lane may refer to:

## Politicians

* Robert Lane (died 1768), British Member of Parliament for York
* Robert Lane (born 1527), MP for Gatton and Northamptonshire
* Bob Lane (Canadian politician), Progressive Conservative party member of the Canadian House of Commons
* Bob Lane (American politician) (born 1947), Republican member of the Georgia House of Representatives

## Others

* Robert Lane (soccer) (1882–1940), Canadian amateur football (soccer) player who competed in the 1904 Summer Olympics
* Robert E. Lane (1917–2017), American political scientist and political psychologist
* Robert J. Lane, Supreme Secretary of the Knights of Columbus
* Robert W. Lane (born 1949), Chairman of Deere & Co, company main board director
* Bob Lane (Australian footballer) (1946–1979), Australian rules footballer
* Bob Lane (American football) (born 1959), gridiron football player
* Robert Lane (pirate) (died 1719), pirate who left Edward England to sail the Caribbean; occasionally just called "Captain Lane"
# Robert Thyer

Robert Thyer (1709–1781) was an 18th-century British writer and literary editor, best known as Chetham's Librarian.

## Life

Son of Robert Thyer, a silk weaver of Manchester, by his wife Elizabeth Brabant, he was baptised on 20 February 1709 at Manchester Collegiate Church. Educated at Manchester Grammar School, he won an exhibition in 1727 to Brasenose College, Oxford, where he graduated as a BA on 12 October 1730, and was later elected FSA
Returning to Lancashire, Thyer was appointed as librarian of Chetham's Library in February 1732, and continued in post until 3 October 1763. A close friend of John Byrom, he was also on good terms with the Egertons of Tatton Park, Cheshire (his wife's first husband, John Leigh (who died in 1738), was a relation of the Earls of Bridgewater); Thyer was a legatee under the will of Samuel Egerton, M.P.
Thyer died on 27 October 1781 and was buried at Manchester Collegiate Church where his ancestors were buried.

## Legacy

Some of Thyer's manuscripts went to the Chetham Library, and many of his letters, as well as a specimen of his verse, were printed in Byrom's Remains.

## Works

Thyer annotated and published in 1759 The Genuine Remains in Verse and Prose of Samuel Butler, 2 vols., and contemplated a new annotated edition of Hudibras. He was working with papers left by Butler to William Longueville, patron and literary executor, and now in the British Library (Add. MS. 32625). Dr Samuel Johnson was complimentary, while Bishop William Warburton and others criticised Thyer. A new edition of the Remains came out in 1827. Thyer was also one of the scholars who supplied notes to Thomas Newton for his edition of John Milton's Paradise Lost.

## Family

Thyer married, on 9 December 1741, Silence, daughter of John Wagstaffe of Hasland Hall, Derbyshire, and widow of John Leigh of Middle Hulton near Deane, Lancashire, great-great-grandfather of Lydia Becker and uncle of Sir Egerton Leigh, 1st Baronet as too of Dr Egerton Leigh of West Hall, High Legh in Cheshire. Thyer's children all predeceased him.
# Michael Cheng (politician)

Michael Cheng Tak-kin, JP (traditional Chinese: 鄭德健; simplified Chinese: 郑德健; born 1938) was the member of the Legislative Council of Hong Kong and Wong Tai Sin District Board.

## Biography

Born in Hong Kong, Michael Cheng studied at the La Salle College in his youth. Cheng obtained his bachelor's degree in History and Political Science from the University of Hong Kong and master's degree in education from the Chinese University of Hong Kong. He was the principal of the Po Leung Kuk CFA No.1 College.
He was first elected as the Wong Tai Sin District Board member in 1985, representing the residents in Tsz Wan Shan (later representing the Tsz Wan East constituency), and continually served in the Board through the transfer of the sovereignty until his retirement in 2007. In 1988 election, he defeated the pro-democracy incumbent Conrad Lam from the Wong Tai Sin electoral college constituency consisting of members of the Wong Tai Sin District Board.
Cheng's political stance was considered conservative. On the legislation of the Hong Kong Bill of Rights Ordinance in 1990, he worried that the Bill would provide the protection for the criminals and made the police difficult to maintain law and order. In 1990, he became the member of the pro-business conservative Liberal Democratic Federation of Hong Kong. As the electoral college was to be abolished and replaced by directly elected seats in the 1991 Legislative Council election, Cheng decided not to seek for re-election.
He later on became member of the Hong Kong Progressive Alliance when the Liberal Democratic Federation was merged into it in the late 1990s, and the Democratic Alliance for the Betterment and Progress of Hong Kong when the two parties merged in 2005. He retired from the Wong Tai Sin District Council in 2007.
# Marc Westphalen

Marc Westphalen (born 14 July 1977 in Hamburg) is a German sprint canoer who competed in the early 2000s. He won a bronze medal in the K-2 1000 m event at the 2001 ICF Canoe Sprint World Championships in Poznań.
# Marc Wilkins

Marc Wilkins may refer to:
* Marc Wilkins (baseball) (born 1970), former Major League Baseball pitcher
* Marc Wilkins (geneticist), geneticist credited with the concept of the proteome
* Marc Raymond Wilkins, Swiss-British film director and screenwriter
# Michael Bracewell

Michael Bracewell may refer to:
* Michael Bracewell (cricketer) (born 1991), New Zealand cricketer
* Michael Bracewell (writer) (born 1958), British writer and novelist
# Michael Bradley

Michael or Mike Bradley may refer to:

## Politicians

* Michael Bradley (politician) (died 1923), Irish politician
* Michael J. Bradley (politician) (1897–1979), U.S. politician
* Michael J. Bradley (colonial administrator) (1933–2010), Governor of the Turks and Caicos, 1987–1993
* Mike Bradley (politician) (born 1955), Canadian politician

## Sports

* Michael Bradley (rugby union, born 1897) (1897–1951), Irish and British Lions rugby union player
* Michael Bradley (cricketer) (born 1934), English cricketer
* Mike Bradley (athlete) (born 1961), American former sprinter
* Michael Bradley (rugby union, born 1962), Irish former rugby union player and coach of Edinburgh Rugby
* Michael Bradley (golfer) (born 1966), American professional golfer
* Mike Bradley (Canadian football) (born 1978), Canadian Football League player
* Michael Bradley (basketball) (born 1979), American basketball player
* Michael Bradley (soccer) (born 1987), American soccer player
* Michael Bradley (hurler) (born 1994), Irish hurler

## Other people

* Michael Bradley (businessman), British businessman, chief executive of Defence Equipment and Support
* Michael Bradley (musician) (born 1959), bassist for The Undertones
* Michael Bradley (singer), former lead singer of Paul Revere & the Raiders and composer (Robotech)
* Mike Bradley, General Secretary of the General Federation of Trade Unions
* Mike Bradley, President and CEO of Teradyne
# Royal Alexandra Hospital

Royal Alexandra Hospital may refer to:
* Royal Alexandra Children's Hospital, Brighton, England
* Royal Alexandra Hospital (Edmonton), Canada
* Royal Alexandra Hospital for Children, Sydney, Australia
* Royal Alexandra Hospital, Paisley, Scotland
* Royal Alexandra Hospital, Rhyl, Wales
# Offroad.TV

Offroad.TV is a German television series.
# Mangifera paludosa

Mangifera paludosa is a species of plant in the family Anacardiaceae. It is found in Indonesia, possibly Malaysia, and Singapore.
# Musha, Rwanda

Musha is sector in Rwanda. The village of Gikoro is located in the sector.
It was a site of a major massacre in the Rwandan genocide against the Tutsis, where over 1,000 people were killed.
Now it is known as a health center for the region.
# HD 203842

HD 203842, also known as HR 8191 or rarely 30 G. Equueli, is a solitary, yellowish-white hued star located in the constellation Equuleus. It has an apparent magnitude of 6.32, placing it near the limit for naked eye visibility, even under ideal conditions. Gaia DR3 parallax measurements imply a distance of 374 light years, and it is currently drifting closer with a somewhat constrained heliocentric radial velocity of −21.8 km/s. At its current distance HD 203842's brightness is diminished by 0.15 magnitudes due to interstellar dust and it has an absolute magnitude of +1.06.
A 2005 Hipparcos survey noticed variations in its proper motion, which would indicate that it is an astrometric binary. However, a subsequent survey revealed that HD 203842 is not an astrometric binary (32% chance) and is more likely to be solitary. This object is part of the Hyades Stream.
HD 203842 has a stellar classification of F5 III, indicating that it is an evolved F-type giant star. It is currently in the Hertzsprung gap, meaning that it exhausting its supply of hydrogen and evolving towards the red giant branch. It has double times the Sun's mass but at the age of 1.24 billion years, it has expanded to 4.54 times the Sun's radius. It radiates 31.1 times the Sun's luminosity from its enlarged photosphere at an effective temperature of 6,271 K. HD 203842 is metal enriched with 155% the Sun's iron abundance and spins quickly with a projected rotational velocity of 80.6 km/s.
# Michael Hirsh

Michael Hirsh may refer to:
* Michael Hirsh (producer) (born 1948), founder of the animation studio Nelvana
* Michael Hirsh (journalist), political reporter for Newsweek magazine
* Michael Hirsh (Australian producer), Australian film and TV producer at Working Dog Productions
# NGC 6822-WR 12

NGC 6822-WR 12 is a WN-type Wolf-Rayet star located in the galaxy NGC 6822, about 1.54 million light years away in the constellation of Sagittarius. NGC 6822-WR 12 was the first Wolf-Rayet star to be discovered in the galaxy, and is one of only four known in the galaxy.

## Discovery

In 1983, a Wolf-Rayet (WR) star was identified in the barred irregular galaxy NGC 6822. The appearance of strong ionised helium emission lines in its spectrum, together with ionised nitrogen emission lines but no carbon lines, led to the assignment of the spectral class WN3. At the time, it was the only known WR star in NGC 6822.
NGC 6822-WR 12 was the 12th candidate of 12 candidate WR stars found in NGC 6822 during a survey of NGC 6822 and IC 1613. In a follow-up study, only 4 of the WR candidates in NGC 6822 were confirmed as WR stars, and they are still the only WR stars known in NGC 6822.

## Properties

High-resolution spectroscopy of NGC 6822-WR 12 gives a spectral type of WN4 and CMFGEN atmosphere models give a very high temperature of 100,000 K. Combined with a radius of 3.77 R$_☉$, this leads to a bolometric luminosity of 1.3 million L$_☉$, which would likely make it one of the most luminous stars in its relatively small galaxy. Assuming mass-luminosity relations for Wolf-Rayet stars points to a very high mass, about 36 solar masses. NGC 6822-WR 12 has a powerful stellar wind, which ejects 10$^{−4.6}$ M$_☉$ per year from its surface at a relatively slow speed of 1,100 kilometres per second.

### Composition

As is typical of WN stars, NGC 6822-WR 12 has almost no hydrogen, it having been either fused to helium or lost through strong stellar winds. However, due to the very low metallicity of NGC 6822, similar to that of the Small Magellanic Cloud, it has a lower nitrogen abundance than that of galactic WN stars, containing just 0.3% nitrogen. The emission lines of ionised nitrogen in the spectrum are correspondingly weak. The rest of the star is helium and its spectrum is dominated by emission lines of ionised helium.