hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Cyclic and separating vector
In mathematics, the notion of a cyclic and separating vector is important in the theory of von Neumann algebras, and, in particular, in Tomita–Takesaki theory. A related notion is that of a vector that is cyclic for a given operator. The existence of cyclic vectors is guaranteed by the Gelfand–Naimark–Segal (GNS) construction.

Gelfand–Naimark–Segal construction
In functional analysis, a discipline within mathematics, given a -algebra ,  the Gelfand–Naimark–Segal construction establishes a correspondence between cyclic -representations of  and certain linear functionals on  (called states).  The correspondence is shown by an explicit construction of the -representation from the state. It is named for Israel Gelfand, Mark Naimark, and Irving Segal.
Every Night's a Saturday Night
Every Night's a Saturday Night is the fifth studio album by American country music artist Lee Roy Parnell. It was released via Career Records, a sister label of Arista Nashville, on June 17, 1997. The album includes the singles "Lucky Me, Lucky You", "You Can't Get There from Here" and "All that Matters Anymore", which respectively reached #35, #39 and #50 on Billboard Hot Country Songs. Parnell produced the album with his band, The Hot Links.

Also included on this album are "Better Word for Love", originally recorded by NRBQ on their 1994 album Message for the Mess Age, and "Honky Tonk Night Time Man", originally recorded by Merle Haggard on 1974's Merle Haggard Presents His 30th Album.

Lee Roy Parnell
Lee Roy Parnell (born December 21, 1956) is an American country singer, songwriter, and guitarist. Active since 1990, he has recorded eight studio albums, and has charted more than twenty singles on the Billboard Hot Country Singles & Tracks (now Hot Country Songs) charts. His highest-charting hits are "What Kind of Fool Do You Think I Am" (1992), "Tender Moment" (1993), and "A Little Bit of You" (1995), all of which peaked at number two. He recorded for the former Arista Nashville for the entirety of the 1990s, with later releases on Vanguard, Universal South (now Show Dog-Universal Music), and Vector. Parnell's music is defined by his blues influences and use of slide guitar.
Route nationale 6 (Madagascar)
Route nationale 6  (RN6) is a primary highway in Madagascar of 706 km, running from Antsiranana to Ambondromamy.  It crosses the regions of Diana and Sofia. It was paved in 1992.

Most parts of this road are paved and well maintained but there are some unpaved sections in a very bad shape.

Diana Region
Diana is a region in Madagascar at the northern part of the island. It borders the regions of Sava to the southeast and Sofia to the southwest. It covers an area of 19,266 km2, and had a population of 889,736 in 2018. The regional capital is Antsiranana (previously known as Diego Suarez).
Sky Express (Greece)
SKY Express (legally Cretan Aviation Operations Aviation and Commercial Societe Anonyme; Greek: Κρητικές Αεροπορικές Εκμεταλλεύσεις Αεροπορική και Εμπορική Ανώνυμη Εταιρεία) is a Greek airline headquartered in Heraklion International Airport. It was established in 2005 and operates a number of flights, serving 35 domestic and eighteen international destinations year round.

It is owned by Aviareps Hellas.

Etihad Airways
Etihad Airways is one of the two flag carriers of the United Arab Emirates (the other being Emirates). Its head office is in Khalifa City, Abu Dhabi, near Zayed International Airport. The airline commenced operations in November 2003 and is the second-largest airline in the UAE after Emirates.

The airline operates more than 1,000 flights per week, to over 120 passenger and cargo destinations in the Middle East, Africa, Europe, Asia, Australia, and North America, with a fleet of 107 Airbus and Boeing aircraft as of July 2025. Its main base is at Zayed International Airport. In addition to its main activity of passenger transportation, Etihad also operates Etihad Holidays and Etihad Cargo.
1964 Camden London Borough Council election
The 1964 Camden Council election took place on 7 May 1964 to elect members of Camden London Borough Council in London, England. The whole council was up for election and the Labour Party gained control of the council.

Camden London Borough Council
Camden London Borough Council, also known as Camden Council, legally The Mayor and Burgesses of the London Borough of Camden, is the local authority for the London Borough of Camden in Greater London, England. The council has been under Labour majority control since 2010. The council meets at Camden Town Hall and their other premises.
Chris Kissock
Christopher R. Kissock (born May 2, 1985, in Trail, British Columbia) is a Canadian former professional baseball pitcher who was in the minor league baseball organization of the Philadelphia Phillies of Major League Baseball, but is currently retired from the Winnipeg Goldeyes after being released by the Phillies on August 3, 2012. Kissock has also competed for the Canadian national baseball team.

Kissock attended J. Lloyd Crowe Secondary School and Lewis–Clark State College. He was drafted by the Philadelphia Phillies in the 9th round (293rd overall) of the 2007 Major League Baseball draft.

Kissock has played for the Canadian national baseball team. In 2011, he participated in the 2011 Baseball World Cup, winning the bronze medal, and the Pan American Games, winning the gold medal.

Lewis–Clark State College
Lewis-Clark State College is a public college in Lewiston, Idaho, United States. It was founded 132 years ago in 1893 and has an approximate annual enrollment of 3,600. The college offers more than 130 degrees.
Zooko's triangle
Zooko's triangle is a trilemma of three properties that some people consider desirable for names of participants in a network protocol:

Human-meaningful: Meaningful and memorable (low-entropy) names are provided to the users.

Secure: The amount of damage a malicious entity can inflict on the system should be as low as possible.

Decentralized: Names correctly resolve to their respective entities without the use of a central authority or service.

Trilemma
A trilemma is a difficult choice from three options, each of which is (or appears) unacceptable or unfavourable. There are two logically equivalent ways in which to express a trilemma: it can be expressed as a choice among three unfavourable options, one of which must be chosen, or as a choice among three favourable options, only two of which are possible at the same time.

The term derives from the much older term dilemma, a choice between two or more difficult or unfavourable alternatives. The earliest recorded use of the term was by the British preacher Philip Henry in 1672, and later, apparently independently, by the preacher Isaac Watts in 1725.
Julian Bleach
Julian Bleach (born 29 December 1963) is an English actor, singer and playwright, who is known as co-creator and "MC" of Shockheaded Peter, a musical entertainment based on the works of Heinrich Hoffmann, which won the 2002 Olivier Award for Best Entertainment. He is also known for playing Davros in the 2005 revival of Doctor Who (in 2008, 2015, and 2023).

Shockheaded Peter (musical)
Shockheaded Peter is a 1998 musical using the popular German children's book Struwwelpeter (1845) by Heinrich Hoffmann as its basis.

Created by Julian Bleach, Anthony Cairns, Julian Crouch, Graeme Gilmour, Tamzin Griffin, Jo Pocock, Phelim McDermott, Michael Morris and The Tiger Lillies (Martyn Jacques, Adrian Huge and Adrian Stout) the production combines elements of pantomime and puppetry with musical versions of the poems with the songs generally following the text but with a somewhat darker tone. Whereas the children in the poems only sometimes die, in the musical they all do. Commissioned by the West Yorkshire Playhouse in Leeds and the Lyric Hammersmith in West London, the show debuted in 1998 in Leeds before moving to London and subsequently to world tours.

While the Tiger Lillies performed as onstage band for the majority of the original Leeds and London runs, they were later replaced by David Thomas & Two Pale Boys.
Shokanbetsu-Teuri-Yagishiri Quasi-National Park
Shokanbetsu-Teuri-Yagishiri Quasi-National Park (暑寒別天売焼尻国定公園, Shokanbetsu-Teuri-Yagishiri Kokutei Kōen) is a quasi-national park in Hokkaidō, Japan.

The park includes the following areas:

Mashike Mountains

Teuri Island

Yagishiri Island

Yagishiri Island
Yagishiri Island (焼尻島, Yagishiri-tō) is a small, sparsely populated island in the Sea of Japan, 23 kilometres (14 mi) northwest of Haboro Bay in Haboro, Hokkaido. The island, along with neighboring Teuri Island on its west side, belongs to the town of Haboro in Rumoi Subprefecture. It is noted for its dense forests; fully two-thirds of it remains forested.
Park Ji-il
Park Ji-il (Korean: 박지일, born September 1960) is a South Korean theatre, film and television actor. He is known for his supporting roles in various TV series and films. His better known works are: 2011 TV series The Thorn Birds, 2013 thriller film The Suspect and 2017 historical drama series The Rebel. He has appeared in more than 75 TV series, theatrical plays and films including 2020 political drama film The Man Standing Next. In 2022, he appeared in TV series Artificial City and is appearing in Tracer and Thirty-Nine.

The Rebel (South Korean TV series)
The Rebel (Korean: 역적: 백성을 훔친 도적; lit. Rebel: Thief Who Stole the People) is a South Korean television series starring Kim Sang-joong, Yoon Kyun-sang, Chae Soo-bin, Kim Ji-seok, and Lee Hanee. It aired on MBC TV every Monday and Tuesday at 22:00 (KST) from January 30, 2017 to May 16, 2017.

The series was a success with average viewership ratings of 11.34%, and was praised by both critics and audiences for its plot and performances.
Johnny Hannon
John C. Hrankaj, publicly known as Johnny Hannon (November 9, 1909 – May 21, 1935) was an American racing driver and boxer. He was killed in Speedway, Indiana, while testing a car for the 1935 Indianapolis 500 – his first year of attempting to qualify for the race. He had previously been successful on the dirt track circuit.

1935 Indianapolis 500
The 23rd International 500-Mile Sweepstakes Race was held at the Indianapolis Motor Speedway on Thursday, May 30, 1935. Despite attempts to improve participant safety by requiring crash helmets and installing green and yellow lights around the track, the event that year would prove to be one of the worst in terms of fatalities.

Kelly Petillo won the race, accompanied by riding mechanic Jimmy Dunham. Pete DePaolo, the 1925 winner, was the team principal, becoming the first individual to win the race separately as a driver and an owner.

The race was part of the 1935 AAA Championship Car season.
Commuting matrices
In linear algebra, two matrices  and  are said to commute if , or equivalently if their commutator  is zero. Matrices  that commute with matrix  are called the commutant of matrix  (and vice versa).

A set of matrices  is said to commute if they commute pairwise, meaning that every pair of matrices in the set commutes.

Triangular matrix
In mathematics, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal are zero. Similarly, a square matrix is called upper triangular if all the entries below the main diagonal are zero.

Because matrix equations with triangular matrices are easier to solve, they are very important in numerical analysis. By the LU decomposition algorithm, an invertible matrix may be written as the product of a lower triangular matrix L and an upper triangular matrix U if and only if all its leading principal minors are non-zero.
National Register of Historic Places listings in Grayson County, Texas
This is a list of the National Register of Historic Places listings in Grayson County, Texas.

This is intended to be a complete list of properties and districts listed on the National Register of Historic Places in Grayson County, Texas. There are one district and eight individual properties along with one former property listed on the National Register in the county. Seven individually listed properties are Recorded Texas Historic Landmarks including one that is also a State Historic Site. The district contains an additional Recorded Texas Historic Landmark.

This National Park Service list is complete through NPS recent listings posted August 8, 2025.

Grayson County, Texas
Grayson County is a county in the U.S. state of Texas. As of the 2020 census, its population was 135,543. The county seat is Sherman. The county was founded in 1846 and is named after Peter Wagener Grayson, an attorney general of the Republic of Texas. Grayson County is included in the Sherman-Denison metropolitan statistical area, which is also included in the Dallas-Fort Worth-Arlington, combined statistical area. Located on the state's border with Oklahoma, it is part of the Texoma region, with proximity to Lake Texoma and the Red River.
Remembrance (1982 film)
Remembrance is a British ensemble drama about Royal Navy ratings of HMS Raleigh, who are about to embark on a six-month naval exercise. The film is noteworthy for early appearances of several well-known British actors, including Timothy Spall, Lisa Maxwell, John Altman and Gary Oldman in his film debut. It was an early production from Channel Four Films and was shown on 10 November 1982 on Channel 4. It was also one of the first films in the UK to be shown on television less than three years after its initial cinema release (a delay enforced at the time by the Cinema Exhibitors' Association).

John Altman (actor)
John Clarkson Stewart (born 2 March 1952), known as John Altman, is an English actor and singer. He was among the original cast members of the BBC soap opera EastEnders, playing Nick Cotton, appearing in the first episode in February 1985 and remaining on the show as a recurring character. His character was killed off in the 30th anniversary episode of the show which aired in February 2015. Altman has also appeared in several films, television series and stage productions. In 2010, he became the new frontman of the band Heavy Metal Kids following the death of former frontman Gary Holton in 1985.
The Secret of Platform 13
The Secret of Platform 13 is a children's novel by Eva Ibbotson, and illustrated by Sue Porter, first published in 1994.

The book has gained extra significance as many readers find it similar to the Harry Potter series by J.K. Rowling, as the first book of that series, Harry Potter and the Philosopher's Stone was published in 1997, three years after this book was published. (They both mention a platform on Kings Cross Station, in London, that leads to a different world.) As journalist Amanda Craig has written, "Ibbotson would seem to have at least as good a case for claiming plagiarism as the American author currently suing J. K. Rowling, but unlike her, Ibbotson says she would 'like to shake her by the hand. I think we all borrow from each other as writers.'"

Eva Ibbotson
Eva Maria Charlotte Michelle Ibbotson (née Wiesner; 21 January 1925 – 20 October 2010) was an Austrian-born British novelist, known for her children's literature. Some of her novels for adults have been reissued for the young adult market. The historical novel Journey to the River Sea (Macmillan, 2001) won her the Smarties Prize in category 9–11 years, garnered an unusual commendation as runner-up for the Guardian Prize, and made the Carnegie, Whitbread, and Blue Peter shortlists. She was a finalist for the 2010 Guardian Prize at the time of her death. Her last book, The Abominables, was among four finalists for the same award in 2012.
Farfa Abbey
Farfa Abbey (Italian: Abbazia di Farfa) is a territorial abbey in northern Lazio, central Italy. In the Middle Ages, it was one of the richest and most famous abbeys in Italy. It belongs to the Benedictine Order and is located about 60 km (37 mi) from Rome, in the comune (municipality) of Fara Sabina, of which it is also a frazione (hamlet).

In 2016 it was added to the "tentative" list to be a UNESCO World Heritage Site, as part of a group of eight Italian medieval Benedictine monasteries, representing "The cultural landscape of the Benedictine settlements in medieval Italy".

Hendrick van den Broeck
Hendrick van den Broeck or Arrigo Fiammingo (c. 1530 – 28 September 1597) was a Flemish painter, fresco painter, glass painter and sculptor of the late-Renaissance or Mannerist period.  After training in Flanders, he travelled to Italy where he remained active in various cities for the remainder of his life. He was court painter to Cosimo I de Medici in Florence and worked as a fresco painter in Rome on the large decorative projects of pope Gregory XIII.
Caught on a Train
Caught on a Train is a British television play written by Stephen Poliakoff and directed by Peter Duffell, based on an overnight train journey across Europe, and following the route of a journey that Poliakoff had himself made from London to Vienna. It was first shown, as part of the BBC2 Playhouse series, on 31 October 1980, and was re-shown in 2001 and 2006.

The play stars Dame Peggy Ashcroft as Frau Messner and Michael Kitchen as Peter, and the main supporting cast features Wendy Raebeck as Lorraine and Michael Sheard as Preston. The soundtrack was written by the jazz composer Mike Westbrook.

The play won a BAFTA Television Award and other plaudits in 1980.

Having previously been available on VHS, the play was released on DVD by BBC Worldwide in 2004, with an audio commentary by Poliakoff and the producer, Kenith Trodd.

Michael Kitchen
Michael Roy Kitchen (born 31 October 1948) is an English actor and television producer, best known for his starring role as Detective Chief Superintendent Christopher Foyle in the ITV drama Foyle's War, which ran for eight series between 2002 and 2015. He also played the role of Bill Tanner in two James Bond films opposite Pierce Brosnan, and that of John Farrow in BBC Four's comedy series Brian Pern.
Georgia-Rose Brown
Georgia-Rose Brown (born 22 January 1995) is an Australian artistic gymnast who currently represents New Zealand in international competitions. She represented New Zealand at the 2024 Summer Olympics.

Brown represented Australia at the 2014 Commonwealth Games and helped the team win the silver medal, and at the 2018 Commonwealth Games, she won the silver medal on the balance beam and the bronze medal with the team. She competed for Australia at five World Championships and is a five-time bronze medalist in the FIG World Cup series.

New Zealand at the 2024 Summer Olympics
New Zealand competed at the 2024 Summer Olympics in Paris from 26 July to 11 August 2024. It was the country's 25th appearance as an independent nation at the Summer Olympics, having made its debut at the 1920 Summer Olympics in Antwerp and competed at every Games since. It is New Zealand's most successful Olympic Games, matching their previously highest medal total of 20 from the 2020 Summer Olympics in Tokyo, and breaking their previous Gold medal total of 8 from the 1984 Summer Olympics in Los Angeles.
Order of the Blessed Virgin Mary of Mercy
The Royal, Celestial and Military Order of Our Lady of Mercy and the Redemption of the Captives (Latin: Ordo Beatae Mariae de Mercede Redemptionis Captivorum, abbreviated O. de M.), also known as the Mercedarians, is a Catholic mendicant order established in 1218 by Peter Nolasco in the city of Barcelona, at that time the capital of the Principality of Catalonia, part of the Crown of Aragon, for the redemption of Christian captives. Its members are most commonly known as Mercedarian friars or nuns. One of the distinguishing marks of the Order of the Blessed Virgin Mary of Mercy is that, since its foundation, its members are required to take a fourth vow: to die, if necessary, for another who is in danger of losing their faith. The Order exists today in 17 countries.

Mendicant orders
Mendicant orders are primarily certain Catholic religious orders that have vowed for their male members a lifestyle of poverty, traveling, and living in urban areas for purposes of preaching, evangelization, and ministry, especially to less wealthy individuals. At their foundation these orders rejected the previously established monastic model, which prescribed living in one stable, isolated community where members worked at a trade and owned property in common, including land, buildings and other wealth. By contrast, the mendicants avoided owning property, did not work at a trade, and embraced a poor, often itinerant lifestyle. They depended for their survival on the goodwill of the people to whom they preached. The members of these orders are not called monks but friars.

The term "mendicant" is also used with reference to some non-Christian religions to denote holy persons committed to an ascetic lifestyle, which may include members of religious orders and individual holy persons.
Flickering Flame: The Solo Years Volume 1
Flickering Flame: The Solo Years Volume 1 is a compilation album of former Pink Floyd member Roger Waters' solo material, released in Europe and Australia in 2002 (see 2002 in music). It was not released in the US and UK until 30 May 2011, when this album along with the rest of the Waters' solo material was released as part of "The Roger Waters Collection" Boxset. The album will be sold separately from the compilation, for a 12-month term.

The original versions of this album were released on CD with a note on the cover saying "will not play on a PC/Mac", due to a form of copy protection. Users of Apple computers reported they were unable to eject CDs with this kind of copy protection.

Doyle Bramhall II
Doyle Bramhall II (born December 24, 1968) is an American guitarist, producer and songwriter best known for his work with Eric Clapton and Roger Waters. He is the son of the songwriter and drummer Doyle Bramhall.
Anglican Bishop of Lancaster
Christianity portal

The Bishop of Lancaster is a suffragan bishop of the Church of England Diocese of Blackburn, in the Province of York, England. The title takes its name after the traditional county town of Lancaster in Lancashire; the See was erected under the Suffragans Nomination Act 1888 by Order in Council dated 24 July 1936. The current bishop is Jill Duff.

Diocese of Blackburn
The diocese of Blackburn is diocese of the Church of England in North West England. Its boundaries correspond to northern Lancashire. The diocese contains 211 parishes and 280 churches. Blackburn Cathedral is the seat of the bishop of Blackburn, currently Philip North, and the diocesan offices are also located in Blackburn.

What is now the diocese of Blackburn was historically part of the diocese of York. It became part of the newly created diocese of Chester in 1541, and part of the diocese of Manchester when it was created in 1847. The diocese of Blackburn was in turn established on 12 November 1926 from the northern part of Manchester.