hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Rodrigues' formula
In mathematics, Rodrigues' formula (formerly called the Ivory–Jacobi formula) generates the Legendre polynomials. It was independently introduced by Olinde Rodrigues (1816), Sir James Ivory (1824) and Carl Gustav Jacobi (1827). The name "Rodrigues formula" was introduced by Heine in 1878, after Hermite pointed out in 1865 that Rodrigues was the first to discover it. The term is also used to describe similar formulas for other orthogonal polynomials. Askey (2005) describes the history of the Rodrigues formula in detail.

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.
East Suffolk and North Essex NHS Foundation Trust
East Suffolk and North Essex NHS Foundation Trust is an NHS foundation trust in the East of England. It runs Colchester Hospital in Colchester, Essex and Ipswich Hospital in Ipswich, Suffolk, as well as several smaller community hospitals in the surrounding area.

NHS foundation trust
NHS foundation trusts are semi-autonomous organisational units within the National Health Service (NHS) in England. They operate with a degree of independence from the Department of Health and Social Care, and—prior to the abolition of strategic health authorities (SHAs) in 2013—from their respective SHA. Foundation trusts were established to decentralise decision-making and improve responsiveness to local needs. As of March 2019, there were 151 foundation trusts in operation.
E 30 road (United Arab Emirates)
E 30 is one of the main roads of the United Arab Emirates (UAE). The road connects the city of Abu Dhabi and Al Ain. It is colloquially called Abu Dhabi-Al Ain Truck Road, but is officially named Al Rawdah Road. and is approximately parallel with E 22 - Al Ain Road.

E 22 road (United Arab Emirates)
E 22 (Arabic: شارع ﺇ 22), is a major highway in the Emirate of Abu Dhabi, United Arab Emirates (UAE). The road travels between the emirates's biggest cities of Abu Dhabi and Al Ain, and is called simply, Al Ain Road (Arabic: شارع العين). The west end of the road starts at Al Mafraq Bridge in the Rabdan area in Abu Dhabi, runs across the desert of Al Wathba, and ends in the west end of Khalifa bin Zayed Street in Al Salmat, Al Ain.
Archdeacon of Sumner
The  Archdeacon of Sumner  is the title of a senior post  that has been used at certain times within the Anglican Diocese of Christchurch, part of the Anglican Church in Aotearoa, New Zealand and Polynesia.

Anglican Diocese of Christchurch
The Diocese of Christchurch is one of the thirteen dioceses and hui amorangi (Māori bishoprics) of the Anglican Church in Aotearoa, New Zealand and Polynesia. The Diocese covers the area between the Conway River and the Waitaki River in the South Island of New Zealand.
Benbournie, South Australia
Benbournie (formerly Benbourni) is a rural locality in the Mid North region of South Australia, approximately halfway between the towns of Clare and Blyth. The formal boundaries of the locality were established in January 2001 with regard to the long established local name. The north-eastern corner contains a number of gazetted homesteads.

It is considered a 'lost' town (i.e. a planned town that was never subdivided), although the area was surveyed by a Private Holledge of the Royal Sappers and Miners in the 19th century. It was described as "situated near to and north-west of Emu Flat in section 2083" of the Hundred of Blyth.

Blyth, South Australia
Blyth is a small town in the Mid North of South Australia, located 13 kilometres (8.1 mi) west of the renowned Clare Valley. The town is located on the lands of the Kaurna people, the Indigenous people who lived there before European settlement. In the 2021 Australian census, the town had a population of 442.
Bia actorion
Bia actorion, the uncertain owlet, bia owl or Actorion owlet, is a species of butterfly of the family Nymphalidae. It is found in the upper Amazon areas of Brazil, Ecuador, Peru and Bolivia.

The larvae feed on Astrocaryum murumuru and Geonoma species.

Brassolini
Brassolini is a tribe usually placed in the brush-footed butterfly subfamily Morphinae, which is often included in the Satyrinae as a tribe Morphini. If this is accepted, the Brassolini become the sister tribe of the Morphini among the Satyrinae. Formerly, they were treated as an independent family Brassolidae or subfamily Brassolinae. Many members of this tribe are called owl butterflies.

The Brassolini is a Neotropical butterfly group that currently includes 102 species and contain 17 genera in two or three subtribes, depending whether the enigmatic genus Bia is assigned here as sister to all other lineages in the group. The other genera are divided into one small subtribe, and a larger one that unites the bulk of the genera.

The use of adult characters produces a more robustly supported phylogeny of the Brassolini than does the use of characters from immature life stages.
T interface
A T-interface  or T reference point is used for basic rate access in an Integrated Services Digital Network (ISDN) environment.  It is a User–network interface reference point that is characterized by a four-wire, 144 kbit/s (2B+D) user rate.

Other characteristics of a T-interface are:

it accommodates the link access and transport layer function in the ISDN architecture

it is located at the user premises

it is distance sensitive to the servicing Network termination 1

it functions in a manner similar to that of the Channel service units (CSUs) and the Data service units (DSUs).

The T interface is electrically equivalent to the S interface, and the two are jointly referred to as the S/T interface.

Basic Rate Interface
Basic Rate Interface (BRI, 2B+D, 2B1D) or Basic Rate Access is an Integrated Services Digital Network (ISDN) configuration intended primarily for use in subscriber lines similar to those that have long been used for voice-grade telephone service.
As such, an ISDN BRI connection can use the existing telephone infrastructure at a business.

The BRI configuration provides 2 data (bearer) channels (B channels) at 64 kbit/s each and 1 control (delta) channel (D channel) at 16 kbit/s. The B channels are used for voice or user data, and the D channel is used for any combination of data, control signaling, and X.25 packet networking. The 2 B channels can be aggregated by channel bonding providing a total data rate of 128 kbit/s. The BRI ISDN service is commonly installed for residential or small business service (ISDN PABX) in many countries.

In contrast to the BRI, the Primary Rate Interface (PRI) configuration provides more B channels and operates at a higher bit rate.
Laurenene
Laurenene is a diterpene natural product with an unusual [5.5.5.7]fenestrane structure.  It was first discovered in extracts from the New Zealand tree species Dacrydium cupressinum by researchers at the University of Otago.  It has since been found in other species of New Zealand trees, such as Podocarpus totara.

Diterpene
Diterpenes are a class of terpenes composed of four isoprene units, often with the molecular formula C20H32. They are biosynthesized by plants, animals and fungi via the HMG-CoA reductase pathway, with geranylgeranyl pyrophosphate being a primary intermediate. Diterpenes form the basis for biologically important compounds such as retinol, retinal, and phytol. Some diterpenes are antimicrobial and anti-inflammatory.
Marty Garner
Marty Garner (born May 2, 1967) is an American professional wrestler most noted for his appearances in World Wrestling Federation/Entertainment and his time in Extreme Championship Wrestling. Not to be confused with Marty Garner of ArchKey electrics or his brother, wrestling phenom and Aurora high school talent show champion, Kelly Garner.

OMEGA New Frontiers Championship
The OMEGA New Frontiers Championship was a secondary title in the Organization of Modern Extreme Grappling Arts (OMEGA) independent professional wrestling promotion. The title lasted from 1997 to 1999.
2021 Wimbledon Championships – Girls' singles
Ane Mintegi del Olmo won the title, defeating Nastasja Schunk in the final, 2–6, 6–4, 6–1.

Daria Snigur was the defending champion having won the previous edition in 2019. She participated in the women's singles qualifying competition, losing to Beatriz Haddad Maia in the first round.

2019 Wimbledon Championships – Girls' singles
Daria Snigur won the title, defeating Alexa Noel 6−4, 6−4  in the final.

Iga Świątek was the defending champion, but chose to compete in the women's singles competition instead. She lost to Viktorija Golubic in the first round.
Artemio Ricarte
Artemio Ricarte y García (October 20, 1866 – July 31, 1945) was a Filipino general during the Philippine Revolution and the Philippine–American War. He is regarded as the Father of the Philippine Army, and the first Chief of Staff of the Armed Forces of the Philippines (March 22, 1897- January 22, 1899) though the present Philippine Army descended from the American-allied forces that defeated the Philippine Revolutionary Army led by General Ricarte. Ricarte never took an oath of allegiance to the United States government that occupied the Philippines from 1898 to 1946.

New Bilibid Prison
The New Bilibid Prison (NBP) in Muntinlupa, Metro Manila, is the main insular prison designed to house the prison population of the Philippines. It is maintained by the Bureau of Corrections (BuCor) under the Department of Justice (DOJ). As of December 2025, the NBP housed 28,616 inmates, nearly five times its intended capacity of 6,345.

Since July 2023, the DOJ has suspended admitting new inmates to the prison to address overcrowding and prison gang wars. As such, BuCor Chief Gregorio Catapang Jr. has expressed plans to close down the prison by 2028 and convert it into a commercial hub, with an estimated 7,500 minimum- and medium-security inmates scheduled to be transferred to regional prisons in their respective hometowns and high-risk offenders to a supermax prison soon to open in Sablayan, Occidental Mindoro.
Kumaranellur
Kumaranellur is a small Village/hamlet in Pattambi Taluk in Palakkad District of Kerala, India. It comes under Kappur Grama Panchayath. It is located 75 km westwards from District headquarters Palakkad, 48 km southwards from the neighbouring district headquarters Malappuram, 27 km from Tirur, 22 km from Valanchery, 20 km from Pattambi, 20 km from Kunnamkulam, 15 km from Ponnani, 14 km from Kuttippuram, 8 km from Thrithala, and 5 km from Edappal town. This Place is in the border of the Palakkad District and Malappuram District. Malappuram District Kuttippuram is North towards this place and Edappal is westward from this place. Kumaranellur basically depends upon neighbouring Ponnani, Edappal, and Kuttippuram in Malappuram district for education and healthcare purposes. It is a part of Thrithala (State Assembly constituency) and Ponnani (Lok Sabha constituency).

Edappal
Edappal is a town which lies near to the town of Ponnani in Ponnani taluk, Malappuram district, Kerala, India. Edappal at the junction of Thrissur-Kuttippuram and Palakkad-Ponnani state highways, is located 45 km (28 mi) from Malappuram. Edappal lies in two panchayaths (local body jursidcitions), Vattamkulam, and Edappal. Edappal shares borders with Thuyyam, Polpakkara, Ayilakkadu, Vattamkulam, and Annakampadu. Sukapuram (also known as Chowwara), one of the earliest Brahmin settlements in Kerala, lies in Edappal. The Azhvanchery Thamprakkal of Athavanad (originally Maranchery), had influence over the Nambudiris of Sukapuram (Chowwara), while the Kalpakanchery Thamprakkal of Kalpakanchery influenced the rival Nambudiris of Panniyoor. Edappal forms a portion of the Malappuram metropolitan area as of 2011 Census. Edappal lies in Ponnani Kole Wetlands and is surrounded by the Biyyam backwater lake of Ponnani.
Zombor District
Zombor District (Serbian: Сомборски округ, Somborski okrug; German: Zambórer Distrikt, Kreis Zombor from 1853; Hungarian: Zombori körzet; Bunjevac: Somborski okrug) was one of five administrative districts (originally Districte, modern spelling Distrikte; Kreise, lit. 'circles', from 1853) of the Voivodeship of Serbia and Temes Banat (a crown land within Austrian Empire) from 1850 to 1860. Its administrative center was Zombor (Serbian: Sombor).

Kula, Serbia
Kula (Serbian Cyrillic: Кула, Pannonian Rusyn: Кула, Hungarian: Kúla) is a town and municipality located in the West Bačka District of the autonomous province of Vojvodina, Serbia. The town has a population of 14,873, while the municipality has a population of 35,592.
Theodora Bonwick
Theodora Ellen Bonwick (27 December 1876 – 10 November 1928) was a British headteacher, trade unionist, educationist and suffragette. As a member of the Association for Moral and Social Hygiene, she became a strong advocate of sex education in schools, gaining the support of parents to establish sex education classes at Enfield Road School in Hackney while she was headmistress there.

National Union of Women Teachers
The National Union of Women Teachers (NUWT) was a trade union representing women schoolteachers in Great Britain.  It originated in 1904 as a campaign for equal pay for equal work, and dissolved in 1961, when this was achieved.
Yoshisuke Aikawa
Yoshisuke Aikawa (or Gisuke Ayukawa) (鮎川 義介, Aikawa Yoshisuke; 6 November 1880 – 13 February 1967) was a Japanese entrepreneur, businessman, and politician, noteworthy as the founder and first president of the Nissan zaibatsu, one of Japan's most powerful business conglomerates around the time of the Second World War.

Inoue Kaoru
Marquess Inoue Kaoru GCMG (井上 馨, January 16, 1836 – September 1, 1915) was a Japanese politician and a prominent member of the Meiji oligarchy during the Meiji period of the Empire of Japan. As one of the senior statesmen (Genrō) in Japan during that period, he had a tremendous influence on the selection of the nation's leaders and formation of its policies.
National Film Award for Best Costume Design
The National Film Award for Best Costume Design is one of the National Film Awards presented annually by the National Film Development Corporation of India. It is one of several awards presented for feature films and awarded with Rajat Kamal (Silver Lotus).

The award was instituted in 1984, at 32nd National Film Awards and awarded annually for films produced in the year across the country, in all Indian languages.

National Film Awards
The National Film Awards are awards for artistic and technical merit given for excellence within the Indian film industry. Established in 1954, it has been administered, along with the International Film Festival of India and the Indian Panorama, by the Indian government's Directorate of Film Festivals from 1973 until 2020, and by the NFDC since 2021.

Every year, a national panel appointed by the government selects the winning entry, and the award ceremony is held in New Delhi, where the President of India presents the awards. This is followed by the inauguration of the National Film Festival, where award-winning films are screened for the public. Declared for films produced in the previous year across the country, they hold the distinction of awarding merit to the best of Indian cinema overall, as well as presenting awards for the best films in each region and language of the country.
Melsbroek Air Base
Melsbroek Air Base (ICAO: EBMB) is a Belgian Air Force facility in Steenokkerzeel, 6.5 NM (12.0 km; 7.5 mi) northeast of Brussels, the capital of Belgium. It is located on the northern side of Brussels Airport, with which it shares runways and ground and air control facilities.

The 15th Air Transport Wing operates from Melsbroek Air Base with following types:

Airbus A310 (retired)

Airbus A330 (retired)

Airbus A321

Dassault Falcon 20

Dassault Falcon 900

Dassault Falcon 7x

Embraer 135 & 145

Lockheed C-130 (retired)

Airbus A400M Atlas

15th Air Transport Wing
The 15th Air Transport Wing (Dutch: 15 Wing Luchttransport, French: 15 Wing Transport Aérien) is a wing in the Belgian Air Force of the Belgian Armed Forces. The 15th Wing's motto is TENACITY. A Sioux Indian chief completes the emblem.

The wing comprises two operational squadrons, the 21st Squadron and the 20th Squadron, and a Training & Conversion Unit. 21st Squadron is also known as the Liaison and Long-Haul Flight. 20th Squadron operates 7 Airbus A400M Atlas, which replaced the Lockheed C-130 Hercules military transport aircraft in 2021. It consists of about 72 crewmembers, making it one of the largest units in the Belgian Air Force.
Konductra
Konductra is a puzzle video game for the Nintendo DS, published by O~3 Entertainment. IGN revealed the title in November 2005. At the time, independent developer oeFun had started work without having a publisher lined up. oeFun and O~3 came into a publishing agreement in the summer of 2006 after the title was finished.

Multicoloured pairs of tiles have to be placed on a grid that is lined with 'conductors' by using the DS's stylus, with the aim of creating rows or blocks of the same colour. Once a row of tiles reaches the edge of the board, the pieces can be removed by drawing with the stylus through a conductor and along the chain. The game is also Nintendo Wi-Fi Connection enabled.

A sequel, titled Konductra: Graveyard Shift, was released for download on the Apple iOS on July 18, 2013.

Puzzle video game
Puzzle video games make up a broad genre of video games that emphasize puzzle solving. The types of puzzles can test problem-solving skills, including logic, pattern recognition, sequence solving, spatial recognition, and word completion. Many puzzle games involve a real-time element and require quick thinking, such as Tetris (1985) and Lemmings (1991).
1982 Junior League World Series
The 1982 Junior League World Series (then known as the 13 year old Little League World Series) took place from August 17–21 in Taylor, Michigan, United States. Tampa, Florida defeated Libertyville, Illinois in the championship game.

Junior League World Series
The Junior League World Series is a baseball tournament for children aged 12, 13, and 14 years old. The tournament is held annually at Heritage Park in Taylor, Michigan. It is patterned after the Little League World Series, which was named for the World Series in Major League Baseball.

The Junior League World Series is one of eleven tournaments sponsored by Little League International. Each of them brings baseball or softball teams from around the world together in one of four age divisions. The tournament structure for each division's World Series is similar to that used for the Little League Baseball World Series.
Chelsea (CDP), Vermont
Chelsea is the primary village and a census-designated place (CDP) in the town of Chelsea, Orange County, Vermont, United States. It was first listed as a CDP prior to the 2020 census.

The CDP is in central Orange County, in the center of the town of Chelsea. It sits in the valley of the First Branch of the White River, part of the Connecticut River watershed. Vermont Route 110 runs through the village, leading north 13 miles (21 km) to East Barre and south the same distance to South Royalton. Vermont Route 113 has its western terminus in Chelsea and leads southeast 22 miles (35 km) to East Thetford, on the Connecticut River.

South Royalton, Vermont
South Royalton is an unincorporated village and census-designated place (CDP) in the town of Royalton, Windsor County, Vermont, United States. With a population at the 2010 census of 694, South Royalton is the largest community in the town. It is home to the Vermont Law School. The central portion of the village is a historic district, listed on the National Register of Historic Places as the South Royalton Historic District. The Joseph Smith Birthplace Memorial is located approximately two miles to the east. South Royalton is the town pictured in the opening credits of the WB television show Gilmore Girls.
RaXPol
The Rapid X-band Polarimetric Radar, commonly abbreviated as RaXPol, is a mobile research radar designed and developed by ProSensing Inc. using NSF MRI funds from the University of Oklahoma, and maintained and operated by the University of Oklahoma, led by Howard Bluestein. RaXPol often collaborates with adjacent mobile radar projects, such as Doppler on Wheels and SMART-R. Unlike its counterparts, RaXPol typically places emphasis on temporal resolution, and as such is capable of surveilling the entire local atmosphere in three dimensions in as little as 20 seconds, or a single level in less than 3 seconds. RaXPol scanned the 2013 El Reno tornado, capturing wind speeds exceeding 300 mph, the second highest ever recorded.

SMART-R
The Shared Mobile Atmospheric Research and Teaching Radar, colloquially known as SMART-R or SR, is a mobile Doppler weather radar platform operated and created by University of Oklahoma (OU) with aide from Texas A&M and Texas Tech University in 2001.
Notre-Dame-de-Lorette, Quebec
Notre-Dame-de-Lorette (French pronunciation: [nɔtʁ(ə) dam də lɔʁɛt]) is a municipality in the Canadian province of Quebec, located within the regional county municipality of Maria-Chapdelaine. With a population of 159 in the Canada 2021 Census, it is the least populated and northernmost municipality in the Saguenay–Lac-Saint-Jean region.

Maria-Chapdelaine Regional County Municipality
Maria-Chapdelaine is a regional county municipality in the Saguenay–Lac-Saint-Jean region of Quebec, Canada. Its seat is in Dolbeau-Mistassini.

It runs from Lac Saint-Jean in the south to the deep interior of northern Quebec in the north.
2010 Tour de Romandie
The 2010 Tour de Romandie (64th Edition) cycling road race started on 27 April and finished on 2 May in Switzerland.  It was the 6th event in the 2010 UCI ProTour, and the 13th event in the World Calendar. The race winner had been declared as Alejandro Valverde, who won the final stage to take the race by 11 seconds. However, some four weeks after the end of the race the UCI placed Valverde under a two-year suspension for his involvement in the 2006 Operación Puerto doping case, which was backdated to, and involved removal of all his results since, 1 January 2010.  Simon Špilak was thus promoted to winner of the event.

2010 UCI World Ranking
The 2010 UCI World Ranking was the second edition of the ranking system launched by the Union Cycliste Internationale (UCI) in 2009; the following year it would be merged with the UCI ProTour to form the UCI World Tour. The series started with the Tour Down Under's opening stage on 19 January, and consisted of 13 stage races and 13 one-day races, culminating in the Giro di Lombardia on 16 October.  Two new races, the Grand Prix Cycliste de Québec and the Grand Prix Cycliste de Montréal were added to the ProTour series, and consequently to the ranking schedule. These two Canadian events, and the Tour Down Under, were the only races in the series to take place outside Europe.