hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Legendre rational functions
In mathematics, the Legendre rational functions are a sequence of orthogonal functions on [0, ∞). They are obtained by composing the Cayley transform with Legendre polynomials.

A rational Legendre function of degree n is defined as:

where  is a Legendre polynomial. These functions are eigenfunctions of the singular Sturm–Liouville problem:

with eigenvalues

Orthogonal functions
In mathematics, orthogonal functions belong to a function space that is a vector space equipped with a bilinear form. When the function space has an interval as the domain, the bilinear form may be the integral of the product of functions over the interval:

The functions  and  are orthogonal when this integral is zero, i.e.  whenever . As with a basis of vectors in a finite-dimensional space, orthogonal functions can form an infinite basis for a function space.  Conceptually, the above integral is the equivalent of a vector dot product; two vectors are mutually independent (orthogonal) if their dot-product is zero.

Suppose  is a sequence of orthogonal functions of nonzero L2-norms .  It follows that the sequence  is of functions of L2-norm one, forming an orthonormal sequence.  To have a defined L2-norm, the integral must be bounded, which restricts the functions to being square-integrable.
Quan Yilun
Quan Yilun (Chinese: 全伊伦; pinyin: Quán Yīlún, born April 29, 1999) is a Chinese actor. He gained popularity for his lead role in Echoes of the Self (2025) and supporting role in Love in the Clouds (2025). He is also well-known for his roles in Blossom (2024), and Moonlight Mystique (2025).

Love in the Clouds
Love in the Clouds (Chinese: 入青云; pinyin: Rù Qīngyún) is a 2025 Chinese television series based on the web novel of the same name by Bai Lu Cheng Shuang. It stars Hou Minghao and Lu Yuxiao in leading roles. The series premiered on Youku on October 8, 2025. It is also available for streaming on Netflix, Viki and Viu in selected regions.

The series has a 7.0 rating on Douban from over 73,000 users and the popularity exceeded 10,000 heat index on Youku by the end of the broadcast.
Heat (Colder album)
Heat is the second album from French musician Colder, released by Output Recordings on 4 July 2005. The album was produced in Paris and was released on CD, limited edition CD (housed in a digipak), and limited edition red-coloured 12" vinyl. The album was also released on CD in Mexico with two bonus tracks. All versions of the album are out of print.

Colder (musician)
Marc Nguyen Tan (born 1974), known professionally as Colder, is a French dance musician and graphic designer who is also a DJ and remixer who remains actively involved in dance music and other projects.

Colder's sound is rooted in the post-punk and post-disco of the late 1970s and early 1980s. Colder is also influenced by dub and krautrock.
Hull Royal Infirmary
Hull Royal Infirmary is a tertiary teaching hospital and is one of the two main hospitals for Kingston upon Hull (the other being Castle Hill Hospital in nearby Cottingham). It is situated on Anlaby Road, just outside the city centre, and is run by Hull University Teaching Hospitals NHS Trust.

Hull University Teaching Hospitals NHS Trust
The Hull University Teaching Hospitals NHS Trust operates in the city of Hull and the East Riding of Yorkshire, England. The Trust was formed on 1 October 1999 by the merger of the East Yorkshire Hospitals and the Royal Hull
Hospitals National Health Service Trusts.

It is based on two sites, Hull Royal Infirmary and Castle Hill Hospital. The Trust is in the top five largest trusts in England and provides acute care for a local population of 600,000 and over 1.2 million people for tertiary services.

The Trust employs over 8,500 people and has an annual turnover of over £500 million.  It changed its name from Hull and East Yorkshire Hospitals NHS Trust to Hull University Teaching Hospitals NHS Trust in 2019.
Idana, Kansas
Idana is a census-designated place (CDP) in Clay County, Kansas, United States.  As of the 2020 census, the population was 54.  It is located approximately 6.5 miles west of Clay Center, and 1.5 miles south of US Route 24 along 16th Rd.

Clay County, Kansas
Clay County is a county located in the U.S. state of Kansas.  Its county seat and most populous city is Clay Center.  As of the 2020 United States census, the county population was 8,117.  The county was named for Henry Clay, an influential U.S. Senator from Kentucky.
Frans Tebak
Franciscus Antonius Maria Tebak (20 September 1927 – 8 August 2002) was a Dutch footballer who played as a defender for PSV Eindhoven and SC Eindhoven. He made ten appearances for the Netherlands national team from 1952 to 1954.

FC Eindhoven
Football Club Eindhoven, commonly known as FC Eindhoven, is a professional football club based in Eindhoven, Netherlands, that competes in the Eerste Divisie, the second tier of Dutch football. They are one of two professional clubs which are based in the city of Eindhoven, the other one being PSV.

FC Eindhoven play their home games at Jan Louwers Stadion, in the southern part of the city. The club's official colours are blue and white, hence their nickname "Blauw-Witten" (lit. 'The Blue-Whites').
Pocasset Manufacturing Company
Pocasset Manufacturing Company was a cotton textile mill located in Fall River, Massachusetts. It was located just west of Main Street across the second falls of the Quequechan River. It was organized on August 15, 1821, with $100,000 in capital. The mill began operation in 1822, with Samuel Rodman of New Bedford as the principal owner. Oliver Chace, served as the mill's agent until 1837. Nathaniel Briggs Borden was named clerk and treasurer.

The Pocasset Mills were the site of the origin of the Great Fall River Fire of 1928. The mills were destroyed along with a vast portion of the city's business district.

Great Fall River fire of 1928
The Great Fall River fire of 1928 occurred on February 2–3, 1928 and destroyed a vast portion of downtown Fall River, Massachusetts. Although the city has had many other large fires, both before and after, the 1928 conflagration is generally considered the worst in the city's history, since it destroyed so many businesses at a time when the city's economy was already struggling from recent textile plant closings. By the time the fire was out, five city blocks were completely wiped out. Nobody was killed and only a few people suffered serious injuries.
Grandy, North Carolina
Grandy is an unincorporated community and census-designated place (CDP) in Currituck County, North Carolina, USA. It was first listed as a CDP in the 2020 census with a population of 2,776. It is located along US 158 between the Currituck Sound (on the east) and the North River (on the west).

It is the location of the Weeping Radish Farm and Brewery. Weeping Radish was shown on Diners, Drive-Ins and Dives.

The former Grandy School was listed on the National Register of Historic Places in 1998.

Grandy School
Grandy School is a historic school building located at Grandy, Currituck County, North Carolina.  It was built in 1908, and is a tall, one-story, frame building with Late Victorian and Colonial Revival style design elements.  It has a gable roof and features a tall central bell tower.

It was listed on the National Register of Historic Places in 1998.
Franz Teyber
Franz Teyber (bapt. 25 August 1758 in Vienna – 21 October 1810 in Wien-Josefstadt, today 8. Bezirk) was an Austrian Kapellmeister, organist and composer of orchestral and chamber music. Studying under Georg Christoph Wagenseil, from 1786 he was director of the Schikaneder theatre company and from 1801 a composer and musical director of the Theater an der Wien. His sisters Elisabeth and Therese were opera singers, and his brother Anton worked as a composer to (among others) the Dresden opera and Vienna court.

His niece was Elena Teyber who was born in Vienna and became a professor at Iaşi Conservatory where she was known as a pianist and composer from 1827 to 1863. She married Gheorghe Asachi.

Theater an der Wien
The Theater an der Wien is a historic theatre in Vienna located on the Left Wienzeile in the Mariahilf district. Completed in 1801, the theatre has hosted the premieres of many celebrated works of theatre, opera, and symphonic music. Since 2006, it has served primarily as an opera house, hosting its own company.

Although "Wien" is German for "Vienna", the "Wien" in the name of the theatre is actually the name of the Wien River, which once flowed by the theatre site; "an der Wien" means "on the banks of the Wien". In modern times, the river has been covered over in this location and the covered riverbed now houses the Naschmarkt, an open-air market.

The theatre is operated in cooperation with Vereinigte Bühnen Wien (VBW) which also operates the Raimund Theater and the Ronacher.
2015–16 Miami Hurricanes men's basketball team
The 2015–16 Miami Hurricanes men's basketball team represented the University of Miami during the 2015–16 NCAA Division I men's basketball season. The Hurricanes were members of the Atlantic Coast Conference (ACC). They were led by fifth year head coach Jim Larrañaga and played their home games at the BankUnited Center on the university's campus in Coral Gables, Florida. They finished the season 27–8, 13–5 in ACC play to finish in a tie for second place. They defeated Virginia Tech in the quarterfinals of the ACC tournament to advance to the semifinals where they lost to Virginia. They received an at-large bid to the NCAA tournament where they defeated Buffalo and Wichita State to advance to the Sweet Sixteen where they lost to eventual national champion Villanova.

2015–16 Virginia Tech Hokies men's basketball team
The 2015–16 Virginia Tech Hokies men's basketball team represented Virginia Polytechnic Institute and State University during the 2015–16 NCAA Division I men's basketball season. The Hokies were led by second year head coach Buzz Williams and played their home games at Cassell Coliseum. They were a member of the Atlantic Coast Conference. They finished the season 20–15, 10–8 in ACC play to finish in a tie for seventh place. They defeated Florida State in the second round of the ACC tournament to advance to the quarterfinals where they lost to Miami (FL). They were invited to the National Invitation Tournament where they defeated Princeton in the first round to advance to the second round where they lost to BYU.
I Got You (Twice song)
"I Got You" is a song by South Korean girl group Twice. It was released as their third original English-language single on February 2, 2024, through JYP Entertainment and Republic Records. It serves as a pre-release single of the group's thirteenth extended play, With You-th. It is a synth-pop track, driven by a new wave-style beat, evoking a double-time production. The song was described as depicting the group's friendship and love, with the message of overcoming difficult times.

"I Got You" peaked at number 38 on the Billboard Global 200 and entered the top ten in Malaysia, Singapore, and Taiwan. Although the song did not enter South Korea's Circle Digital Chart, it peaked at number 16 on the component download chart.

Why Don't We
Why Don't We, shortened to wdw, was an American boy band consisting of Jack Avery, Corbyn Besson, Zach Herron, Jonah Marais and Daniel Seavey. They formed in 2016 and released two studio albums and six extended plays. Because of a lawsuit, the group took a hiatus and cancelled their tour in 2022, and eventually lost the rights to the group name in February 2025, marking the official end of the group.
Irving Crane
Irving Crane (November 13, 1913 – November 17, 2001), nicknamed "the Deacon", was an American pool player from Livonia, New York, and ranks among the stellar players in the history of the sport. Widely considered one of the greatest pool players of all time, and a member of the Billiard Congress of America Hall of Fame, he is best known for his mastery in the game of straight pool (14.1 continuous) at which he won numerous championships, including six World Straight Pool Championship titles.

Livonia, New York
Livonia is a town in Livingston County, New York, United States. As of the 2010 census, the town population was 7,809. The town contains a village also named Livonia. The town is on the eastern border of the county.

In the 19th century numerous migrants moved from here to the Midwest. A group settled in Michigan, naming their community Livonia.
Yarck railway station
Yarck railway station is a former railway station in Yarck, Victoria, Australia. The station was opened in November 1890 when the branch line from Tallarook was extended to Merton. After the station closed along with the line in 1978, the main station building was sold and moved elsewhere. A goods shed, and a passenger shelter in poor condition, remain at the site of the station.

Yarck
Yarck is a town in the upper Goulburn Valley region of Victoria, Australia. The town is in the Shire of Murrindindi and on the Maroondah Highway, 166 kilometres (103 mi) north east of the state capital, Melbourne. At the 2016 census, Yarck and the surrounding area had a population of 194.

Yarck Post Office opened around February 1877. The railway arrived in November 1890 when the branch line from Tallarook was extended to Merton. The line and the station closed in 1978.

Facilities in the town include a general store, a hotel, two cafes, a book store, and a bakery.
The Great Caruso
The Great Caruso is a 1951 biographical film directed by Richard Thorpe, produced by Joe Pasternak, distributed by Metro-Goldwyn-Mayer and starring Mario Lanza as operatic tenor Enrico Caruso. The highly fictionalized screenplay, written by Sonya Levien and William Ludwig, is based on the biography Enrico Caruso His Life and Death by Dorothy Caruso, Caruso's widow. The original music was composed and arranged by Johnny Green, the cinematographer was Joseph Ruttenberg and the costume designers were Helen Rose and Gile Steele.

Enrico Caruso
Enrico Caruso (25 February 1873 – 2 August 1921) was an Italian operatic tenor, who sang to great acclaim at the major opera houses of Europe and the Americas, appearing in a wide variety of roles that ranged from the lyric to the dramatic. Generally recognized as the first international recording star, Caruso made around 250 commercially released recordings from 1902 to 1920.
James Alfred Roosevelt Estate
James Alfred Roosevelt Estate, also known as Yellowbanks, is a historic estate located at Cove Neck in Nassau County, New York.  It is located several hundred feet west of Sagamore Hill, home of President Theodore Roosevelt.  It was designed by architect Bruce Price (1845-1903) in 1881 as a summer home for James A. Roosevelt (1825-1898), uncle to Theodore Roosevelt.  It is a Shingle Style house, basically rectangular in massing, two and a half to three stories in height with a gambrel roof.  The home was occupied by Emlen Roosevelt (1857-1930).

It was listed on the National Register of Historic Places in 1979.

Bruce Price
Bruce Price (December 12, 1845 – May 29, 1903) was an American  architect and an innovator in the Shingle Style. The stark geometry and compact massing of his cottages in Tuxedo Park, New York, influenced Modernist architects, including Frank Lloyd Wright and Robert Venturi.

He also designed Richardsonian Romanesque institutional buildings, Beaux-Arts mansions, and Manhattan skyscrapers. In Canada, he designed Châteauesque railroad stations and grand hotels for the Canadian Pacific Railway, including Windsor Station in Montreal and Château Frontenac in Quebec City.
Klaus Biesenbach
Klaus Biesenbach (born 1966) is a German-American curator and museum director. He is the Director of the Neue Nationalgalerie, with Berggruen Museum and Scharf-Gerstenberg Collection, as well as the berlin modern under construction.

Previously, Biesenbach had been serving as the director of The Museum of Contemporary Art, Los Angeles (MOCA), from 2018 to 2021. He is also a former Chief Curator at Large at The Museum of Modern Art in New York City and former director of MoMA PS1. He is also the founding director of Kunst-Werke Institute for Contemporary Art (KW) in Berlin, and the Berlin Biennale.

Douglas Gordon
Douglas Gordon (born 20 September 1966) is a Scottish artist. He won the Turner Prize in 1996, the Premio 2000 at the 47th Venice Biennale in 1997 and the Hugo Boss Prize in 1998. He lives and works in Berlin, Germany.
MV Alexia
MV Alexia was one of nine Royal Dutch/Shell oil tankers converted to become a Merchant Aircraft Carrier (MAC ship).  The group is collectively known as the Rapana class.

MV Alexia was built at Bremer Vulkan and completed in April, 1935 as an oil tanker for the Anglo-Dutch Royal Dutch/Shell line. She sustained severe damage in two separate U-boat attacks in 1940 and 1942.

After the second attack was converted to a MAC ship, entering service in December 1943.

As a MAC ship, she had no aircraft hangar, and continued to carry normal cargoes, although operating under Royal Navy control.  Only her air crew and the necessary maintenance staff were naval personnel.

At the end of the war, Alexia was reconverted to an oil tanker, and renamed Ianthina in 1951. She served in this capacity until broken up for scrap at Blyth in 1954.

Merchant aircraft carrier
A merchant aircraft carrier (also known as a MAC ship, the Admiralty's official 'short name') was a limited-purpose aircraft carrier operated under British and Dutch civilian registry during World War II.  MAC ships were adapted by adding a flight deck to a bulk grain ship or oil tanker enabling it to operate anti-submarine aircraft in support of Allied convoys during the Battle of the Atlantic.

Despite their quasi-military function, MAC ships retained their mercantile status, continued to carry cargo and operated under civilian command.  MAC ships entered service from May 1943 when they began to supplement and supplant escort carriers, and remained operational until the end of the war in Europe.
SSV Barmen
SSV Barmen was a German association football club from Barmen in the city of Wuppertal, North Rhine-Westphalia. The club became part of ASV Wuppertal in a 1970 merger with VfB Wuppertal, Eintracht Wuppertal, and Viktoria Wuppertal.

Barmen
Barmen is a former industrial metropolis of the region of Bergisches Land, Germany, which merged with four other towns in 1929 to form the city of Wuppertal.

Barmen, together with the neighbouring town of Elberfeld founded the first electric suspended monorail tramway system, the Schwebebahn floating tram.
The Venus of Tivoli
The Venus of Tivoli (German: Die Venus vom Tivoli) is a 1953 Swiss comedy drama film directed by Leonard Steckel and starring Hilde Krahl, Paul Hubschmid and Heinrich Gretler. It was shot at the Bellerive and Rosenhof Studios in Zürich and on location around Chur and Schaffhausen. The film's sets were designed by the art director Werner Schlichting.

Werner Schlichting
Werner Schlichting (1904–1996) was a German art director who worked on over a hundred films during a lengthy career. He worked on a number of Austrian films including The Congress Dances and The Last Ten Days (1955).
Chimichagua
Chimichagua (Spanish pronunciation: [tʃimiˈtʃaɣwa]) is a city and municipality in the central region of the Department of Cesar, Colombia.  Approximately one third of the municipality of Chimichagua is water. The municipality seat lies by the Cienaga de Zapatosa marshes.

Chimila people
The Chimilas or Ette Ennaka are an Indigenous people in the Andes of north-eastern Colombia. Their Chimila language is part of the Chibcha language family, of which there were estimated to be around 1000 speakers in 1998. At the time of the Spanish Conquest the Ariguaní River valley was the strategic centre of their territory. On the Serranía del Perijá mountains the Yukpas were also part of the Chimila confederation of tribes.
Urmas Kirs
Urmas Kirs (born 5 November 1966) is an Estonian football manager and a retired footballer. He lastly coached the Estonian Meistriliiga club Tarvas. He played in the position of defender. Kirs spent the most of his career in Flora.

Rakvere JK Tarvas
Rakvere Jalgpalliklubi Tarvas, commonly known as Rakvere Tarvas, or simply as Tarvas, is an Estonian football club based in Rakvere that competes in II liiga, the fourth tier of Estonian football. The club's home ground is Rakvere linnastaadion.

The club was founded in 2004 as Virumaa JK Rakvere. From 2008 until 2010, the club was named Rakvere FC Flora, and since 2011 Rakvere JK Tarvas. The club has competed in the Estonian top division Meistriliiga once, in 2016.
Jon Tiven
Jon Tiven (born January 3, 1955) is an American composer, guitarist, record producer, and music journalist. He has produced albums by Wilson Pickett, Frank Black and Don Covay as well as a series of tribute albums paying tribute to the songwriting of Don Covay, Arthur Alexander, Otis Blackwell, Curtis Mayfield, and Van Morrison. He was also the co-founder of the Memphis power pop band Prix, as well as the bands The Yankees and The Jon Tiven Group.

Ellis Hooks
Ellis Hooks (born 1974) is an American soul blues and electric blues singer and songwriter, who has released eight albums to date.

The AllMusic journalist, Thom Jurek, noted that Hooks " touches upon Wilson Pickett, Sam Cooke, and Otis Redding, but feels like one of the gritty New York streets Hooks has busked upon."
Chéri-Bibi (TV series)
Chéri-Bibi is a French mystery crime television series which premiered on the ORTF 1 channel between 20 December 1974 and 18 February 1975. The programme was based on the series of four serial novels by Gaston Leroux. Previous adaptations of the stories include The Phantom of Paris (1931), Chéri-Bibi (1938) and Chéri-Bibi (1955).

Gaston Leroux
Gaston Louis Alfred Leroux (French: [ɡastɔ̃ lwi alfʁɛd ləʁu]; 6 May 1868 – 15 April 1927) was a French journalist and author of detective fiction.

In the English-speaking world, he is best known for writing the novel The Phantom of the Opera (French: Le Fantôme de l'Opéra, 1910), which has been made into several film and stage productions of the same name, notably the 1925 film starring Lon Chaney and Andrew Lloyd Webber's  1986 musical.  His 1908 novel The Mystery of the Yellow Room is one of the most celebrated locked room mysteries.
Verneuil-l'Étang station
Verneuil-l'Étang station (French: Gare de Verneuil-l'Étang) is a railway station in Verneuil-l'Étang, Île-de-France, France. The station is on the Paris–Mulhouse railway line. The station is served by TER (local) services operated by SNCF: Transilien line P (Paris–Longueville–Provins).

From 1892 until 1950 the station was terminus of the Vincennes railway line, from Paris-Bastille. The station was also the start of the line to Marles-en-Brie via Chaumes-en-Brie and Fontenay-Trésigny, from 1893 until 1913 when the lines were closed because there was not enough use of the services. There also used to be a tram to Melun, which finished here.

Transilien Line P
Transilien Line P is a railway line of the Paris Transilien suburban rail network. The trains on this line travel between Gare de l'Est in central Paris and the east of Île-de-France region. Transilien services from Paris-Est are part of the SNCF Gare de l'Est rail network. They have a total of 83,000 passengers per weekday.

The first sections of the Paris-Est network opened on 3 January 1849, they were reorganized into Transilien Line P on 31 December 2004.

Translilien Line P formerly included a branch from Esbly to Crécy-la-Chapelle, operated as a self-contained service with tram-train vehicles. In 2025, this branch was administratively separated from Line P and rebranded as tramway line T14.