hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Lagrange polynomial
In numerical analysis, the Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a given set of data.

Given a data set of coordinate pairs ⁠⁠, the ⁠⁠ are called nodes and the ⁠⁠ are called values. The Lagrange polynomial ⁠⁠ which interpolates the data assumes each value at the corresponding node, ⁠⁠. If there are ⁠⁠ data pairs, the Lagrange polynomial has degree ⁠⁠.

Although named after Joseph-Louis Lagrange, who published it in 1795, the method was first discovered in 1779 by Edward Waring. It is also an easy consequence of a formula published in 1783 by Leonhard Euler.

Uses of Lagrange polynomials include the Newton–Cotes method of numerical integration, Shamir's secret sharing scheme in cryptography, and Reed–Solomon error correction in coding theory.

For equispaced nodes, Lagrange interpolation is susceptible to Runge's phenomenon of large oscillation.

Edward Waring
Edward Waring FRS (c. 1736 – 15 August 1798) was a British mathematician. He entered Magdalene College, Cambridge as a sizar and became Senior wrangler in 1757. He was elected a Fellow of Magdalene and in 1760 Lucasian Professor of Mathematics, holding the chair until his death. He made the assertion known as Waring's problem without proof in his writings Meditationes Algebraicae. Waring was elected a Fellow of the Royal Society in 1763 and awarded the Copley Medal in 1784.
Charles Hodges
Charles Edward Hodges (born June 29, 1947 in Memphis, Tennessee) is an American organist and songwriter. He is known for his high tone on the Hammond B3 organ, that appeared on records by Al Green, and other musicians signed to Hi Records.

Hodges also played on albums by James Carr, Willie Cobbs, Albert Collins and Boz Scaggs. Hi Records acts Syl Johnson, O.V. Wright, as well as Green and Tom Jones, have all recorded songs written by Hodges. Hodges played keyboards on Vanessa Collier's 2017 album, Meeting My Shadow (Ruf Records)  and the Mountain Goats' 2020 album, Getting into Knives (Merge Records).

Vanessa Collier
Vanessa N. Collier is an American blues, funk, and soul saxophonist, singer and songwriter. She has been nominated for twelve Blues Music Awards, including B.B. King Entertainer of the Year, Contemporary Blues Female Artist of the Year, and Horn Player of the Year, and has won four of them (Horn Player of the Year in 2019, 2020, and 2024 and Contemporary Blues Female Artist of the Year in 2022).

Her influences include Bonnie Raitt, Norah Jones, The Wood Brothers, Tedeschi Trucks Band, Ray Charles, Snooks Eaglin, Aretha Franklin, Herbie Hancock, Professor Longhair, and Cannonball Adderley. 
Collier is a Selmer endorsed woodwind artist.
At Midnight (1913 film)
At Midnight is a 1913 American silent short film written by Gordon V. May starring Harry Van Meter, Violet Neitz, Louise Lester, Jack Richardson and Vivian Rich. In 2015, George Moore Films produced a feature-length remake of the film.

Violet Knights
Violet Knights (born Violet May Neitz; 15 May 1894 – 13 June 1973) was an American silent film actress.

Knights was born in Anacortes, Washington. She was signed in 1913 and starred in about 10 films between 1913 and 1914. She left acting and married and concentrated on raising a family becoming Violet MacKaye. She returned to acting 16 years later in The Cheyenne Kid in 1930 but her several minor roles following that were uncredited. She died in Newport Beach, aged 79.
The Man I Love (song)
"The Man I Love" is a popular standard  with music by George Gershwin and lyrics by his brother Ira Gershwin. Part of the 1924 score for the Gershwin musical comedy Lady, Be Good, the song was deleted from that show and put into the Gershwins' 1927 government satire Strike Up the Band (where it appears as "The Man I Love" and "The Girl I Love"), which closed out-of-town. It was considered for, then rejected from, the 1928 Florenz Ziegfeld Jr. hit Rosalie.

The song was used as the title of, and was prominently featured in, the 1947 film noir melodrama The Man I Love, starring Ida Lupino and Bruce Bennett.

Strike Up the Band (musical)
Strike Up the Band is a 1927 musical with a book by Morrie Ryskind, lyrics by Ira Gershwin and music by George Gershwin. It first ran as a satirical show in Philadelphia that year, unsuccessfully, and on Broadway in 1930 after the original book by George S. Kaufman was revised by Ryskind. The show concerned a cheese manufacturer who sponsors a war against Switzerland because it will be named after him. Much of the satire of the 1927 version was replaced in the new version by silliness, leading Ryskind to recall, "What I had to do, in a sense, was to rewrite War and Peace for the Three Stooges." In the 1930 version the opening of Act I of the musical was reset from a cheese factory to a chocolate factory, and much of the work was re-imagined as occurring during a dream sequence.

Aside from the title tune, the 1940 Judy Garland-Mickey Rooney musical film Strike Up the Band had no relation to the stage production.

The overture is often performed as a stand-alone concert work.
Casa Malpaís
Casa Malpaís is an archaeological site of the Ancestral Puebloans  located near the town of Springerville, Arizona. The site is a nationally recognized archaeological site and was declared a National Historic Landmark in 1964.

Springerville, Arizona
Springerville (Navajo: Tsé Noodǫ́ǫ́z) is a town in Apache County, Arizona, United States, within the White Mountains. Its postal ZIP Code is 85938. As of the 2020 census, Springerville had a population of 1,717.

Springerville sits at an elevation of 6,907 feet (2,105 m) above sea level. Along with its neighbor Eagar, the communities make up the place known as Round Valley, which is in the central-eastern part of Arizona close to the New Mexico border.
Indo Premier Investment Management
PT Indo Premier Investment Management (IPIM) is an investment management company that launched the first Indonesian equity exchange-traded fund ETF listed on Indonesia Stock Exchange, the Premier ETF LQ-45 (ticker: R-LQ45X).

IPIM was formed as a result from the spin-off of Indo Premier Securities on 18 January 2011 and was licensed by Otoritas Jasa Keuangan (OJK).

Exchange-traded fund
An exchange-traded fund (ETF) is a type of investment fund that is also an exchange-traded product; i.e., it is bought and sold on stock exchanges. ETFs own financial assets such as stocks, bonds, currencies, debts, futures contracts, and/or commodities such as gold bars. Many ETFs provide some level of diversification compared to owning an individual stock.
2016–17 SHL season
The 2016–17 SHL season is the 42nd season of the Swedish Hockey League (SHL). The regular season began in September 2016 and ended in March 2017. The playoffs follow the conclusion of the regular season.

Rögle BK and Leksands IF were forced to play in the SHL qualifiers to defend their SHL status. Rögle won their series against BIK Karlskoga in four games while Leksand lost to Mora IK over six games. Therefore, Mora were promoted to the SHL at the expense of Leksand.

2016–17 HockeyAllsvenskan season
The 2016–17 HockeyAllsvenskan season was the 12th season since the second tier of ice hockey in Sweden was renamed. The league featured 14 teams, each playing each other four times, for a total of 52 regular season games.
EPS Europhysics Prize
The EPS CMD Europhysics Prize is awarded since 1975 by the Condensed Matter Division of the European Physical Society, in recognition of recent work (completed in the 5 years preceding the attribution of the award) by one or more individuals, for scientific excellence in the area of condensed matter physics. It is one of Europe's most prestigious prizes in the field of condensed matter physics. Several laureates of the EPS CMD Europhysics Prize also received a Nobel Prize in Physics or Chemistry.

European Physical Society
The European Physical Society (EPS) is a non-profit organisation whose purpose is to promote physics and physicists in Europe through methods such as physics outreach, supporting physicists to engage in the design and implementation of European science policy, and advocating physics research. Formally established in 1968, its membership includes the national physical societies of 42 countries, and some 3200 individual members. The Deutsche Physikalische Gesellschaft, the world's largest and oldest organisation of physicists, is a major member.
Daniel Prodan Stadium
The Daniel Prodan Stadium is a multi-use stadium located in Satu Mare, Romania. It is currently used mostly for football matches and is the home ground of CSM Satu Mare. For almost all its existence, the stadium was the home ground of Olimpia Satu Mare.

The stadium holds 18,000 people, but only 1,500 on seats and it can also host athletics competitions due to the clay track that surrounds the pitch. It is the 11th stadium in the country by capacity.

The stadium was known as Olimpia Stadium but was renamed in February 2017 as Daniel Prodan Stadium in honor of the former international footballer Daniel Prodan.

Daniel Prodan
Daniel "Didi" Claudiu Prodan (23 March 1972 – 16 November 2016) was a Romanian professional footballer who played mainly as a centre-back.

In a career marred by injuries, he played mainly for Steaua București and represented the Romania national team in one World Cup and one European Championship.
Bell Park Football Club
Bell Park Sport & Recreation Club, nicknamed the Dragons, is a sports club based in Bell Park, Victoria. The club's Australian rules football and netball teams currently play in the Geelong League. Bell Park home venue is the Bell Park Recreation Reserve.

Apart from football and netball, Bell Park has a cricket team.

Bell Park
Bell Park is a residential suburb of Geelong, Victoria, Australia.  It is located 6 km (3.7 mi) north-west of the Geelong city centre and is bordered to the north by Cowies Creek, to the east by Thompson Road, to the south by the Midland Highway and to the west by Anakie Road.

At the 2016 Census, Bell Park had a population of 5,009.
Kishinchand Chellaram College
Kishinchand Chellaram College (ISO: Kiśinacaṁda Cēllārāma Kôlēja), commonly known as KC College, is a higher educational Autonomous institution in Mumbai, Maharashtra, India. It is affiliated to the HSNC University.It was the first college to be awarded an "A" grade by The National Assessment and Accreditation Council (NAAC) in Mumbai (and Maharashtra).

Churchgate
Churchgate (Marathi pronunciation: [t͡ʃəɾt͡ʃɡeːʈ]) is an area in the southern part of Mumbai, close to the Arabian Sea. The area is known for its unique architecture consisting of art deco style residential buildings, access to sporting venues, and the business area of Nariman Point.
Felicia Minei Behr
Felicia Minei Behr (September 21, 1942 – March 2, 2025) was an American television producer and network executive who worked on three daytime serials. She helped launch All My Children and won two Emmys for Best Drama Series as executive producer of the show in 1992 and 1994.

Ryan's Hope
Ryan's Hope is an American soap opera created by Claire Labine and Paul Avila Mayer, airing for 13 years on ABC from July 7, 1975, to January 13, 1989. It revolves around the trials and tribulations within a large Irish-American family in the Washington Heights neighborhood of Manhattan, New York City.
2019 Tim Hortons Brier
The 2019 Tim Hortons Brier, Canada's national men's curling championship, was held from March 2 to 10 at Westoba Place in Brandon, Manitoba. In the final, Kevin Koe of Alberta defeated Team Wildcard skipped by Brendan Bottcher 4–3 by scoring two in the tenth end to win. It was the lowest scoring Brier final since 1992, which was held before the adoption of any free guard zone rule.

The Koe rink represented Canada at the 2019 World Men's Curling Championship held from March 30 to April 7 at the ENMAX Centre in Lethbridge, Alberta.

This marked the third time the Brier has been held in Brandon, the first time since 1982.

This year's Brier was notable for a total team shot percentage efficiency for Northern Ontario of 97% during Draw 3 on March 3, tying a Brier record.

Keystone Centre
The Keystone Centre is a multi-purpose facility located in Brandon, Manitoba. Its main 5,102-seat arena, which is known as Assiniboine Credit Union Place, is the home of the Brandon Wheat Kings of the Western Hockey League and the annual Royal Manitoba Winter Fair.
Agent Raghav – Crime Branch
Agent Raghav – Crime Branch is an Indian crime fiction anthology television series, which premiered on &TV from 5 September 2015 to 10 April 2016 for one hour at Saturday and Sunday nights. The series was produced by Contiloe Entertainment of Abhimanyu Singh and starred Sharad Kelkar in the eponymous role of Agent Raghav Sinha, along with Aahana Kumra, Deepali Pansare, Danish Pandor, Jason Tham and Mahesh Manjrekar, the latter appeared in a recurring role. The serial received the Indian Telly Awards in the category of Best Thriller and Horror Show and was also nominated for Best Weekend Show. The show is said to be inspired from the American police drama/mystery television series, The Mentalist.

Deepali Pansare
Deepali Pansare is an Indian actress who primarily works in Hindi television and Hindi films. Pansare is known for portraying Suhaagi in Neer Bhare Tere Naina Devi, Payal Singh Raizada in Iss Pyaar Ko Kya Naam Doon?, Devyani Kelkar in Devyani and Sanjana Deshmukh in Aai Kuthe Kay Karte.
Vireux-Molhain
Vireux-Molhain (French pronunciation: [viʁø mɔlɛ̃]) is a commune in the Ardennes department in northern France. It lies on the opposite Meuse bank from Vireux-Wallerand.

The Vireux-Molhain National Nature Reserve is located in the commune.

Vireux-Molhain National Nature Reserve
The Vireux-Molhain national nature reserve (RNN104) is a national nature reserve of geological and paleontological interest. It is located in the Pointe de Givet, department of Ardennes, on the border between France and Belgium. It covers an area of 1.82 ha. The site is known as Customs Wall (Mur des Douaniers) as it is near an old customs post. This outcrop of Middle Devonian shale (Eifelian: ± 397 million years) is notable for the quantity and good state of preservation of its fossils. Trilobites are well-represented.
Gesneria
Gesneria is a genus of flowering plants in the family Gesneriaceae. It contains 62 species which are native to islands of the Caribbean. The genus is classified in the tribe Gesnerieae along with the genera Bellonia, Pheidonocarpa, and Rhytidophyllum. Gesneria species are usually woody shrubs or subshrubs, and (with the closely related Rhytidophyllum) are unusual in the family in having alternately (rather than decussately) arranged leaves. A complete list of the accepted species and their synonyms can be found in the Smithsonian Institution's World Checklist of Gesneriaceae.

The genus name honors Conrad Gessner.

Gesneriaceae
Gesneriaceae, the gesneriad family, is a family of flowering plants consisting of about 152 genera and ca. 3,540 species in the tropics and subtropics of the Old World (almost all Didymocarpoideae) and the New World (most Gesnerioideae), with a very small number extending to temperate areas. Many species have colorful and showy flowers and are cultivated as ornamental plants.
Neika
Neika is a rural locality in the local government areas (LGA) of Hobart and Kingborough in the Hobart LGA region of Tasmania. The locality is about 20 kilometres (12 mi) south-west of the city of Hobart. The 2016 census recorded a population of 198 for the state suburb of Neika.
It is a suburb of Hobart, to the north-west of Kingston.

Local government areas of Tasmania
The councils of Tasmania are the 29 local administrative units of the Australian state of Tasmania. Local government areas (LGAs), more generally known as councils, are the tier of government responsible for the management of local duties such as road maintenance, town planning and waste management.
Khutwajabdi
Khutwajabdi is a town and Village Development Committee  in Bara District in the Narayani Zone of south-eastern Nepal. At the time of the 1991 Nepal census it had a population of 2,935 persons living in 484 individual households.

Bara District
Bara District (Nepali: बारा जिल्ला Listenⓘ) is one of the seventy-seven districts of Nepal, located in the western part of the Madhesh Province. The district is third richest district in Nepal after Kathmandu and Morang with 3.3% share of total GDP of Nepal and highest per capita income in Madhesh province. Kalaiya serves as the district's headquarter. Bakaiya, Jamuniya, Pasaha, Dudhaura and Bangari are the main rivers of Bara. The main languages spoken in the district are Tharu, Bhojpuri, Bajjika, and Nepali.
1980 United States presidential election in North Carolina
The 1980 United States presidential election in North Carolina took place on November 4, 1980, as part of the 1980 United States presidential election. Voters chose 13 representatives, or electors to the Electoral College, who voted for president and vice president.

North Carolina barely voted for the Republican nominee, Governor Ronald Reagan, over the Democratic nominee, President Jimmy Carter in a close battle. Independent John B. Anderson, won 2% of the vote from Reagan and Carter in the state. The final numbers were 49.30% for Reagan to 47.18% for Carter and 2.85% for Anderson.

As of the 2024 presidential election, this is the last election in which the following counties have voted for a Democratic presidential candidate: Cleveland, Currituck, Harnett, Lee, Person and Union.

Among white voters, 57% supported Reagan while 39% supported Carter.

Person County, North Carolina
Person County is a county located in the U.S. state of North Carolina. The population was 39,097 as of the 2020 census. The county seat is Roxboro.

Person County is included in the Durham-Chapel Hill, NC Metropolitan Statistical Area, which is also included in the Raleigh-Durham-Cary, NC Combined Statistical Area, which had an estimated population of 2,368,947 in 2023.
Arthur Solinap
Arthur González Solinap (born January 19, 1980) is a Filipino actor and model. He is best known for his role as Robert in the television sitcom Pepito Manaloto (2010–present). Solinap began his entertainment career as a member of the dance group Abztract Dancers, alongside his cousin Dingdong Dantes. He made his television debut in 2005 as Muros in Encantadia, later portrayed Diego in the 2007 series MariMar, and most recently appeared as police detective Emiliano "Emil" Banez in the drama-suspense series Widows' Web (2022) and its spin-off Royal Blood (2023), all broadcast by GMA Network.

Royal Blood (TV series)
Royal Blood is a 2023 Philippine television drama crime mystery series broadcast by GMA Network. Directed by Dominic Zapata, it stars Dingdong Dantes. It premiered on June 19, 2023 on the network's Telebabad line up. The series concluded on September 22, 2023, with a total of 70 episodes.

The series is streaming online on YouTube.
Maniac (Girlicious song)
"Maniac" is a song performed by American girl group Girlicious. It was released as the second single from their second studio album, Rebuilt (2010). It was digitally released on April 6, 2010, and reached number 74 on the Canadian Hot 100.

Girlicious
Girlicious was an American girl group originally formed by Robin Antin, creator of the Pussycat Dolls, from The CW reality TV show Pussycat Dolls Present: Girlicious. The group was originally signed to Geffen Records and composed of members Nichole Cordova, Tiffanie Anderson, Chrystina Sayers and Natalie Mejia. Their self-titled debut album was released in Canada in August 2008 and reached number two on the Canadian Albums Chart. After Anderson left the group in June 2009, Girlicious signed with Universal Music Canada and released their second studio album, Rebuilt, in November 2010. Mejia and Sayers departed the group in February 2011. Nichole Cordova later announced the end of Girlicious, and her joining a new girl group called Girls United.
Parcice
Parcice [parˈt͡ɕit͡sɛ] is a village in the administrative district of Gmina Czastary, within Wieruszów County, Łódź Voivodeship, in central Poland. It lies approximately 3 km (2 mi) south of Czastary, 14 km (9 mi) south-east of Wieruszów, and 101 km (63 mi) south-west of the regional capital Łódź.

Gmina Czastary
Gmina Czastary is a rural gmina (administrative district) in Wieruszów County, Łódź Voivodeship, in central Poland. Its seat is the village of Czastary, which lies approximately 13 kilometres (8 mi) east of Wieruszów and 99 km (62 mi) south-west of the regional capital Łódź.

The gmina covers an area of 62.67 square kilometres (24.2 sq mi), and as of 2006 its total population is 4,041.
Toronto streetcar system
The Toronto streetcar system is a network of eleven streetcar routes in Toronto, Ontario, Canada, operated by the Toronto Transit Commission (TTC). It is the third busiest light-rail system in North America. The network is concentrated primarily in Downtown Toronto and in proximity to the city's waterfront. Much of the streetcar route network dates from the second half of the 19th century. Three streetcar routes operate in their own right-of-way, one in a partial right-of-way, and six operate on street trackage shared with vehicular traffic with streetcars stopping on demand at frequent stops like buses. Since 2020, the network has operated using only low-floor streetcars, making it fully accessible.

Toronto's streetcars provide most of the downtown core's surface transit service. Four of the TTC's five most heavily used surface routes are streetcar routes. In 2024, the system had a ridership of 79,295,000, or about 223,700 per weekday as of the third quarter of 2025.

Downtown Toronto
Downtown Toronto is the main city centre of Toronto, Ontario, Canada. Located entirely within the district of Old Toronto, it is approximately 16.6 square kilometres (6.4 sq mi) in area, bordered by Bloor Street to the northeast, a Canadian Pacific Railway line to the northwest, Lake Ontario to the south, the Don Valley to the east, and Bathurst Street to the west. It is also the home of the municipal government of Toronto and the Government of Ontario.

The area showcases Canada's largest concentration of skyscrapers and businesses that form Toronto's skyline. Since 2022, downtown Toronto had the second most skyscrapers in North America exceeding 200 metres (656 ft) in height, behind only Midtown Manhattan, New York City.
Agreement on Government Procurement
The Agreement on Government Procurement (GPA) is a plurilateral agreement under the auspices of the World Trade Organization (WTO) which regulates the procurement of goods and services by the public authorities of the parties to the agreement, based on the principles of openness, transparency and non-discrimination.

The agreement was originally established in 1979 as the "Tokyo Round Government Procurement Code", which entered into force in 1981 under the auspices of the General Agreement on Tariffs and Trade. It was then renegotiated in parallel with the Uruguay Round in 1994, and this version entered into force on 1 January 1996.

The text adopted in 1996 anticipated that there would be subsequent improvements. An understanding on the expected revisions was reached in December 2006, and the agreement was subsequently revised on 30 March 2012. The revised GPA came into effect on 6 July 2014 and has applied since 1 January 2021 to all members.

Plurilateral agreement
A plurilateral agreement is a multi-national legal or trade agreement between countries. In the jargon of global economics, it is an agreement between more than two countries, but not a great many, which would be multilateral agreement.