OpenLLM-France/wikimedia huggingface dataset:
# Associator

In abstract algebra, the term associator is used in different ways as a measure of the non-associativity of an algebraic structure. Associators are commonly studied as triple systems.

## Ring theory

For a non-associative ring or algebra R, the associator is the multilinear map $[\cdot ,\cdot ,\cdot ]:R\times R\times R\to R$ given by
    $[x,y,z]=(xy)z-x(yz).$
Just as the commutator
    $[x,y]=xy-yx$
measures the degree of non-commutativity, the associator measures the degree of non-associativity of R. For an associative ring or algebra the associator is identically zero.
The associator in any ring obeys the identity
    $w[x,y,z]+[w,x,y]z=[wx,y,z]-[w,xy,z]+[w,x,yz].$
The associator is alternating precisely when R is an alternative ring.
The associator is symmetric in its two rightmost arguments when R is a pre-Lie algebra.
The nucleus is the set of elements that associate with all others: that is, the n in R such that
    $[n,R,R]=[R,n,R]=[R,R,n]=\{0\}\ .$
The nucleus is an associative subring of R.

## Quasigroup theory

A quasigroup Q is a set with a binary operation $\cdot :Q\times Q\to Q$ such that for each a, b in Q, the equations $a\cdot x=b$ and $y\cdot a=b$ have unique solutions x, y in Q. In a quasigroup Q, the associator is the map $(\cdot ,\cdot ,\cdot ):Q\times Q\times Q\to Q$ defined by the equation
    $(a\cdot b)\cdot c=(a\cdot (b\cdot c))\cdot (a,b,c)$
for all a, b, c in Q. As with its ring theory analog, the quasigroup associator is a measure of nonassociativity of Q.

## Higher-dimensional algebra

In higher-dimensional algebra, where there may be non-identity morphisms between algebraic expressions, an associator is an isomorphism
    $a_{x,y,z}:(xy)z\mapsto x(yz).$

## Category theory

In category theory, the associator expresses the associative properties of the internal product functor in monoidal categories.
# Ben-Zion Alfes

Ben-Zion Alfes (Hebrew: בן-ציון אלפס) (1851-1941) was a rabbi, author and Jewish orator. His most well-known book is Maaseh Alfes. The last work he saw published, written at age 90, was an autobiography titled "The Life Story of the Maase Alfes." Another work, Toledot ve-Zikhronot, also an autobiography, but with a different focus, was published posthumously.

## Biography

Ben-Zion Alfes was born in Vilna to Rabbi Yirmeyahu Akiva on the first of Kislev 5611 (1851)." After studying with his father until the age of 15, he enrolled in Eishyshok yeshiva, where he became close to the son-in-law of Rabbi Avraham, brother of the Vilna Gaon. In 1872, he traveled to Palestine in the hopes of settling there but could find no source of livelihood. Upon returning to Vilna, he found work as a proof-reader at HaChevra Metz publishing house. An attempt at writing books for Jewish youngsters was the beginning of his writing career, especially since he received a Haskama from the Chofetz Chaim. He also translated many religious Hebrew works into Yiddish. His name also became well known due to public lectures and a network of schools, Toras Chesed, established for orphans and children from impoverished backgrounds.
In 1925, he returned to Palestine and settled in Petah Tikvah, where he became spiritual director of the Tiferet Bachurim society.
He and his wife Nechama had six children:
* Esther (1869-1956) Rabin
* Shepsl (1872-1956) Alfes
* Mordechai (1877-1942) Alfes
* Dr. Akiva (1879-1962) Alfes
* Sonia Gurwitch
* Malka (1895-1965) Velikowsky
He punctuated his Yiddish-language translations/commentaries on Siddur, as well as Holiday prayer books (Machzorim) with Hebrew vowels, "giving them the external appearance of Hebrew." This was of major benefit to women whose schooling was in Yiddish language using the Hebrew alphabet. He became known as a pioneer of Orthodox Yiddish literature.
# Richard Dawson (footballer, born 1960)

Richard Dawson (19 January 1960 – 9 August 2020) was an English professional footballer who made his professional debut representing Rotherham United in 1978.

## Career

Dawson began his playing career at Rotherham United. After making twenty-one league starts and a further three as a substitute and netting three times he was poached by local rivals Doncaster Rovers in February 1981 to help with their 1980-81 promotion push. He made his debut in a home win against Hereford United with Doncaster Rovers winning three goals to one. In his first season with Doncaster Rovers they won promotion from Division Four, with Dawson finding the back of the net six times before the end of the season. During the 1981–1982 season he was Doncaster Rovers' top scorer with eight in all competitions. His home team Chesterfield signed Dawson in 1983 on a series of monthly contracts to help dig them out of a hole. The club's circumstances at the time made it difficult for Richard to make a good go of it and he signed for Scarborough in December 1982

## Personal life

After ending his playing career in 1988, Dick became a HGV truck driver. During the 1990s he drove for the same firm as former Sunderland legend Joe Bolton and Sheffield United goal machine Keith Edwards.
# Thomas Agar-Robartes

Thomas Charles Reginald Agar-Robartes (known as Tommy) (22 May 1880 – 30 September 1915) was a British Liberal politician.

## Background and education

Tommy Agar-Robartes was the eldest son and heir of Thomas Agar-Robartes, 6th Viscount Clifden, and his wife Mary (née Dickenson) and was brought up at Lanhydrock House, Bodmin. He was the eldest of ten (including a twin sister). Educated at Oxford and a keen horseman, he played in the Oxford University polo team that beat Cambridge in 1903.

## Public life

He was elected a Member of Parliament for Bodmin in the 1906 general election, but lost his seat in June 1906 following a controversial election petition by the defeated candidate alleging illegal payments to potential voters. He was elected to the St Austell Division of Cornwall in a by-election in 1908 and held the seat until his death.

## Military career

He was commissioned a second lieutenant in the Royal 1st Devon Imperial Yeomanry on 13 May 1902. At the outbreak of World War I he joined the Royal Bucks Hussars as an officer. Tommy then joined the Coldstream Guards and was subsequently posted to France & Flanders. Captain The Honourable Thomas Charles Reginald Agar-Robartes, in command of No. 2 Coy, 1st Bn, the Coldstream Guards, was wounded in the Battle of Loos on 28 September and killed by a sniper on 30 September 1915 after rescuing a wounded comrade under heavy fire for which he was recommended for the Victoria Cross.

## Memorials

Agar-Robartes is buried in Lapugnoy Military Cemetery, near Béthune. He is commemorated by a memorial in Truro Cathedral and in stained glass at Selsey Abbey, Wimpole and Church Norton.
Agar-Robartes is commemorated on Panel 8 of the Parliamentary War Memorial in Westminster Hall, one of 22 MPs who died during World War I to be named on that memorial. Agar-Robartes is one of 19 MPs who fell in the war who are commemorated by heraldic shields in the Commons Chamber. A further act of commemoration came with the unveiling in 1932 of a manuscript-style illuminated book of remembrance for the House of Commons, which included a short biographical account of the life and death of Agar-Robartes. As Agar-Robartes never married and had no children, his younger brother Francis later succeeded their father in the viscountcy.

## List of memorials

* Headstone at Lapugnoy Military Cemetery, near Béthune
* Wooden battlefield marker St Hydroc's Church, Lanhydrock, Cornwall
* Granite memorial seat at Truro Road, St Austell, Cornwall
* Stained glass window at St Hydroc Church, Lanhydrock, Cornwall
* Stained glass window at Selsey Abbey, Sussex
* Stained glass window at St Andrew's Church, Wimpole, Cambridgeshire
* Stained glass window at St Wilfrid's Chapel, Church Norton, West Sussex
* Marble bust at Truro Cathedral
* Wooden armorial shield at the House of Commons
* Brass plaque in Holy Trinity Church, St Austell
# Flanesford Priory

Flanesford Priory was an Augustinian priory in Herefordshire, England.
Sir Richard Talbot, then owner of nearby Goodrich Castle, founded the priory in 1346 as a house of the Canons Regular of St Augustine. The priory church was dedicated to St John the Baptist and Sir Richard Talbot was buried there on his death.
Weakened by the Black Death, the priory was one of the first to succumb at the Dissolution of the Monasteries. After it was dissolved in 1537, ownership was granted to George Talbot, 6th Earl of Shrewsbury. On his death in 1590 the property passed to his son Gilbert, who died in 1616 without a male heir. The Priory buildings were then used as farm buildings until 1980, when they were converted into self-catering holiday apartments.
The surviving priory buildings, in particular the refectory building, are Grade I listed. The refectory building, consisting originally of two storeys, is constructed of squared sandstone rubble with ashlar dressings but with a 20th-century roof. Internally it has been modified over the years for farming purposes and latterly for accommodation.
# Shamim Hasnain

Shamim Hasnain is a retired justice of the High Court Division of the Bangladesh Supreme Court.

## Career

In September 2003, Hasnain and Justice M. A. Matin rejected a contempt of court suit filed by Magistrate Khandker Fatema Begum against United News of Bangladesh, Bhorer Kagoj, and The Daily Star. The news organizations had reported that the magistrate saluted Mirza Abbas, minister for housing and public works, when he entered her court room as an accused in a defamation case.
Hasnain and Justice Mir Hasmat Ali declared the Voluntary Disclosure of Information Ordinance-2008 which created the Truth and Accountability Commission illegal in November 2008. The Truth and Accountability Commission was established on 30 July 2008 by the Fakhruddin Ahmed led caretaker government to increase the speed of corruption cases. The caretaker government had arrested numerous politicians including former prime ministers Sheikh Hasina and Khaleda Zia on corruption charges. The commission was made up of a former judge of Bangladesh Supreme Court Justice Habibur Rahman Khan, retired comptroller and auditor general of Bangladesh Asif Ali, and a retired major general, Manzur Rashid Chowdhury, from the Bangladesh Army. Prime Minister Sheikh Hasina disclosed the names of 456 people who had confessed to the commission in April 2009.
In January 2009, Hasnain and Justice Mir Hasmat Ali declared illegal rules of the University of Dhaka that prevented madrassah students for admission to seven departments of the university.
Hasnain and Justice MR Hasan granted bail to Bangladesh Jamaat-e Islami leaders in a case filed over assaulting police officers during a clash between the party and police in April 2011.
Hasnain was a defense witness for Salauddin Quader Chowdhury appeal against his conviction for war crimes during the Bangladesh Liberation War in 2017. His mother, Zinnat Ara Begum, had written a statement in favor of Chowdhury at his initial trial.
Hasnain retired in April 2017.
# Wacław Piekarski

Wacław Piekarski (1893-1979) was a Polish military officer and a general (generał brygady) of the Polish Army. He fought in World War I in the ranks of various Polish formations. During the Invasion of Poland and the opening stages of World War II he was the commanding officer of Polish 41st Infantry Division. After the war he remained in exile and served as the head of the house for the elderly of the Polish Humanitarian Fund in Lailly-en-Val.
Wacław Piekarski was born 5 June 1893 in Pilica, then in Russian-held part of Poland. Following the outbreak of World War I he defected to Austro-Hungarian Galicia and joined the Polish Legions. In 1918 he was accepted into the Polish Army and attached to the 36th 'Academic Legion' Infantry Regiment. Between 1922 and 1924 he studied at the École Supérieure de Guerre in France. During that time, on 3 May 1922 he was promoted to the rank of lieutenant colonel.
In January 1925 Piekarski was attached to the Polish General Staff as part of the Division II (Polish intelligence and counter-espionage service) as head of Section 2. In 1926 however he was moved to the Office of General Inspector of the Armed Forces and became the 1st Staff Officer of Gen. Jan Romer. Following this brief staff practice, the following year he became the commanding officer of the 54th 'Kresy Rifles' Infantry Regiment in Tarnopol (modern Ternopil, Ukraine). Promoted to full colonel on 1 January 1928, in 1931 he joined the Border Defence Corps and became the commanding officer of its 4th Brigade based in Czortków (modern Chortkiv, Ukraine).
In October 1935 Wacław Piekarski became the Divisional Infantry Commander (de facto deputy commander) of the 11th 'Carpathian' Infantry Division stationed around Stanisławów (modern Ivano-Frankivsk, Ukraine). A year later, in October 1936 he became the CO of 29th Infantry Division based in Grodno (modern Hrodna, Belarus). After two years serving in that capacity, in October 1938 he was recalled back to Warsaw and became the chief of Department of Infantry in the Ministry of Military Affairs. On 19 March 1939 he was promoted to the rank of brigadier general.
During the Nazi and Soviet Invasion of Poland of 1939 Piekarski commanded the reserve 41st Infantry Division, and then an improvised division composed of remnants of his unit and the 33rd Infantry Division. Despite heavy losses, Piekarski's unit maintained cohesion until the very end of the campaign. He capitulated with his forces on 26 September 1939 and spent the rest of the war in German captivity in Oflag VIII-E Johannisbrunn and Oflag VII-A Murnau. After the war, unable to return to Soviet-held Poland, he stayed in exile in France. He served as a long-time head of the Rest House of the Polish Humanitarian Fund, a palace in Lailly-en-Val for veterans of Polish forces living abroad. He died 14 February 1979 in Créteil.
# Avicii Experience

Avicii Experience is a museum located in Stockholm, Sweden. It is built in the memory of Swedish music producer Tim Bergling, better known as Avicii, to exhibit his work.

## History

After Bergling's death from suicide in 2018, his parents visited ABBA The Museum, an interactive museum dedicated to ABBA. They decided that a similar museum could work as a tribute to him. Bergling's parents wanted to give fans a place to remember and celebrate the work of their late son and learn about his process for creating music.
On 9 June 2020, it was announced that an Avicii Tribute Museum would open in Stockholm in the summer of 2021. The renamed Avicii Experience was opened in February 2022 by Prince Carl Phillip and Princess Sofia, alongside Bergling's father Klas, in Space Stockholm, a new digital culture centre near Sergels torg. The museum was co-founded by Per Sundin.

## Features

The museum features reconstructions of Bergling's childhood bedroom and Los Angeles mansion. It also includes recordings of Avicii's most popular work and the ability to remix the songs, as well as unreleased music. The interactive museum also includes exhibitions from various stages in Bergling's life, including a simulation of the high paced lifestyle he experienced before his retirement from touring in 2016, which are designed to give visitors an understanding of the health issues Bergling faced. The exhibitions are also dedicated to raising the awareness of mental health problems in young people and the wider music industry. Part of the profits from the museum go to the Tim Bergling Foundation.
# Kurt Schweiger

Kurt Schweiger (born 12 February 1934) is an Austrian former cyclist. He competed in the individual road race and team time trial events at the 1960 Summer Olympics.
# Closterocoris amoenus

Closterocoris amoenus is a species of plant bug in the family Miridae. It is found in Central America and North America.

## Description

The parempodia are more slender, straplike, and less robust than those of nearly all other Miridae. The inner surface of the parempodia is striated.
They diverge from other Miridae with a reduced and apomorphic apex (highest part of the body).
# Aezeius

In Greek mythology, Aezeius (Ancient Greek: Αἰζειός, romanized: Azeios) or Azeus (Άζειόν or Άζειός) was one of the first kings of the Peloponnesus, probably of Arcadia, and a contemporary of Phoroneus who ruled at Argolis.

## Family

Azeus was one of the giant sons of Gaea (Earth) and, by a nymph, became the father of the hero Lycaon (Lycon) who also sired Deïanira. The latter became the mother of the younger Lycaon, the impious king of Arcadia, by Pelasgus, the son of Niobê (daughter of Phoroneus) and Zeus.

## Mythology

Azeus’ lineage was recounted in the following myth:
   ". . . I will lift the veil from your remotest ancestry: Chthon (Gaia) teemed of old and bore a son Azeios, who grew to manhood amid the mighty battles of the Titanes. Gigas Azeios encountered a Nymphe with lover's intent, and begot Lykon; and hero Lykon begot a fair maiden Deianeira. Now Pelasgos of old went up the fair couch of Deianeira when she was growing to womanhood; he was the dear son of Zeus Eleutherios (God of Freedom); and from her bed he got Lykaon, shepherd of the land of Arkadia."
The Arcadians were called Aezeians during Aezeius’ reign and this changed into Lycaonians when Lycaon came into power.

## Modern interpretation

According to one source, the following relates to the historical account of Aezeius (also called Aegialeus):
   “The Greeks first settled in Argolis during Ogygian Flood of 1750 BC. The people who lived upstream of the Cephisus River, which flows from west to east on the north side of Mount Parnassus, and who lost their homes due to floods, set out for new lands.
   These people led by Inachus' two sons, Aezeius (or Aegialeus) and Phoroneus, entered the Peloponnesus peninsula.
   Aegialeus settled on the northern coast of the peninsula, and Phoroneus further south, on the east side of a small hill (later known as Larisa) at the edge of the plain.
   The town founded by Aezeius was called Aegialus (or Aegialea later Sicyon), and the town founded by Phoroneus was called Phoroneus (or Phoroneia later Argos).”
The same author relates that Aezeius was the father of Telchin (Telchis), eponym of the tribe of Telchines. This son later sired Thelxion, the killer of Apis.
   “The parent-child relationship from Aezeius to Thelxion was estimated from the relationship with Apis.
   Their parentage is unknown in Castor's chronicle.
   Pausanias, referring to the Chronicle of Castor, records Apis as the son of Telchin and Thelxion as the son of Apis. However, Apollodoros reports that Apis had no children.”
# Herne Bay railway station

Herne Bay railway station is on the Chatham Main Line in England, serving the town of Herne Bay, Kent. It is 62 miles 58 chains (100.9 km) down the line from London Victoria and is situated between Chestfield & Swalecliffe and Birchington-on-Sea.
The station and all trains that serve the station are operated by Southeastern.

## History

Constructed by the Herne Bay and Faversham Railway Company, the first station originally opened in 1861 as "Herne Bay and Hampton-on-Sea" as the terminus of a line from Faversham; however, this station was a temporary one, located just west of where Greenhill Bridge is now situated. The line was extended to Ramsgate on 5 October 1863, roughly when the current station was brought into use. The line was worked by the London, Chatham & Dover Railway which acquired the Herne Bay Company in 1871. On the station platform in 1879–1880, a Hampton-on-Sea sign was added to the Herne Bay one in the expectation of the development of a new settlement next to what is now Hampton, but Hampton-on-Sea was drowned due to coastal erosion by 1921. It is not recorded how long the sign survived.
(See historic photo, right): The buildings on the Down platform are all that remain of the original station building, as the Up side was reconstructed by the Southern Railway in 1926 as part of its plan to modernise the Thanet Lines. Goods facilities at the station were limited, consisting of two sidings on the Down side, a goods shed and two loading docks. In 1902 coal sidings were added to the Up side, followed by a private siding to the local gasworks. Electrification took place on 15 June 1959 and the old semaphore signals were replaced by colour-lights under Southern Region. General goods traffic ceased on 16 October 1965, with coal deliveries continuing until 1968.
Herne Bay Railway Station was also featured briefly in the British Sitcom Some Mothers Do 'Ave 'Em, in the episode "Have a break, take a Husband" which originally aired 8 March 1973.
In October 2021, approval was given to construct a footbridge with lifts that will enable step-free access to both platforms.
* Herne Bay as viewed from a train
* KCF 31461 northbound from Herne Bay station, 2 May 1953

## Accidents and incidents

* On 1 August 1895, a freight train collided with a passenger train at the station. One person was killed.

## Services

All services at Herne Bay are operated by Southeastern using Class 375 and 395 EMUs.
The typical off-peak service in trains per hour is:
* 1 tph to London St Pancras International
* 1 tph to London Victoria
* 2 tph to Ramsgate
Additional services including trains to and from London Bridge and London Cannon Street call at the station in the peak hours.
| Preceding station | National Rail | National Rail | National Rail | Following station |
| Chestfield & Swalecliffe | | SoutheasternChatham Main Line - Ramsgate Branch | | Birchington-on-Sea |
| Whitstable | | SoutheasternHigh Speed 1 | | Birchington-on-Sea |
# Kirsi Ylijoki

Kirsi Marja Ylijoki (born 29 June 1969) is a Finnish actress and singer who first achieved fame for her role in the Finnish Soap Opera Sydän toivoa täynnä. Several TV roles followed.
In recent years she has held back her own career to raise her children with Apocalyptica's Eicca Toppinen, but she remains popular with Finnish audiences.
Ylijoki and Toppinen married in 1997, and have two sons; one born in 1999, the other 2002.
She and Toppinen are members of the rock band Cherry & the Vipers; Kirsi is the singer and Toppinen plays the drums.

## Filmography

| Year | Movie | Role | Other notes |
| 1996 | Sydän toivoa täynnä | Milla | First professional role, TV Series, stayed until she got pregnant in 1998 |
| 2002 | Kymmenen riivinrautaa | Tuula Virtanen | |
| 2004 | Milja | the mother | Got into the movie because her husband was involved for the soundtrack |
| 2006 | Kotikatu | Nella Kvist | A single episode of the series |
| 2023 | Comeback | | |
# Alexis Peak

Alexis Peak, is a 2,123-metre (6,965 ft) mountain in the Misinchinka Ranges of the Hart Ranges in Northern British Columbia.
Named after Canadian Army Lance Corporal Alexander Alexis, from Prince George, BC. Lance Corporal Alexis was killed in action 18 August 1944, during Operation Tractable, that took place in the final days of the Battle of Falaise Pocket. He was a member of the 3rd Canadian Division, Royal Winnipeg Rifles and is buried in the Beny-Sur-Mer Canadian War Cemetery.