hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Geometrical properties of polynomial roots
In mathematics, a univariate polynomial of degree n with real or complex coefficients has n complex roots (if counted with their multiplicities). They form a multiset of n points in the complex plane, whose geometry can be deduced from the degree and the coefficients of the polynomial.

Some of these geometrical properties are related to a single polynomial, such as upper bounds on the absolute values of the roots, which define a disk containing all roots, or lower bounds on the distance between two roots. Such bounds are widely used for root-finding algorithms for polynomials, either for tuning them, or for computing their computational complexity.

Some other properties are probabilistic, such as the expected number of real roots of a random polynomial of degree n with real coefficients, which is less than   for n sufficiently large.

Vieta's formulas
In mathematics, Vieta's formulas relate the coefficients of a polynomial to sums and products of its roots. They are named after François Viète (1540-1603), more commonly referred to by the Latinised form of his name, "Franciscus Vieta."
Rosenery Mello do Nascimento
Rosenery Mello do Nascimento (Rio de Janeiro, 1965 – Rio de Janeiro, 4 June 2011), best known by the stage name Rosenery Mello, was a Brazilian celebrity and model also known as "Fogueteira do Maracanã" ("Maracanã Firecracker-Thrower"). During a World Cup qualifier in 1989 between the national teams of Brazil and Chile at Maracanã Stadium, Mello threw a  firework, which landed about a yard away from Chilean goalkeeper Roberto Rojas. Rojas then deliberately cut himself with a razor hidden in his glove in a failed attempt to have the match awarded to Chile. The event became known as El Maracanazo.

In November 1989, Mello was on the cover of men's magazine Playboy. She died of a brain aneurysm on 4 June 2011 in Rio de Janeiro.

Roberto Rojas
Roberto Antonio Rojas Saavedra (born 8 August 1957), nicknamed El Cóndor, is a retired Chilean football goalkeeper. In 1989, he was found to have deliberately injured himself during a World Cup qualifying match, reportedly in an attempt to have the match of the  Chile national team annulled. The incident resulted in a lifetime ban for Rojas and one World Cup ban for Chile. His ban was subsequently lifted in 2001.
Vela Luka
Vela Luka (pronounced [ʋela luka] ⓘ) is a small town and the only settlement in the eponymous municipality in Dubrovnik-Neretva County in southern Dalmatia, Croatia. The town is located on the western side of the island of Korčula at the bottom of a wide bay which has many indented coves. Vela Luka developed at the beginning of the 19th century in a deep sheltered bay. Its name means "big harbour" in Croatian chakavian. Inhabitants of the Island of Korčula and Pelješac often refer to it simply as "Luka" (the port/harbour). It has several hotels and a medical centre called Kalos (for rheumatic disorders and rehabilitation). The inhabitants are farmers, fishermen and workers in tourism. The town also has small industrial plants.

Korčula
Korčula (Croatian: [kɔ̂ːrtʃula] ⓘ) is a Croatian island in the Adriatic Sea. It has an area of 279 km2 (108 sq mi), is 46.8 km (29.1 mi) long and on average 7.8 km (4.8 mi) wide, and lies just off the Dalmatian coast. Its 15,522 inhabitants (2011) make it the second most populous Adriatic island after Krk. The population are almost entirely ethnic Croats (95.74%). The island is twinned with Rothesay in Scotland. It is known for Grk, a white wine that is only produced on the island and not exported due to limited production.
Vid Flumina
Vid Flumina is a river system (termed Flumen) of liquid methane and ethane on Saturn's moon Titan. It is more than 400 km (249 mi) long and flows into Titan's second largest hydrocarbon sea, Ligeia Mare. The surface of Titan is mostly water ice, so Vid Flumina is a river of methane and ethane flowing across and cutting canyons into ice as though it were bedrock. NASA scientists think that it likely has rapids, whirlpools and falls, just like rivers on Earth.

Flumen (planetary geology)
Flumen /ˈfluːmɛn/ (plural flumina) is the Latin word for river. It is used in planetary geology to name landform features on the Saturnian moon Titan.

A flumen is a channel on Titan that may carry liquid (usually hydrocarbons, like methane and ethane). Systems of linear, channel-like features on Titan are called flumina. Examples include Vid Flumina, a river of liquid methane and ethane about 400 km long, and Elivagar Flumina, a network of river channels in the region around the Menrva Crater of Titan.
Open Mike Eagle
Michael W. Eagle II (born November 14, 1980), better known by his pseudonym Open Mike Eagle, is an American rapper, record producer and comedian. Originally from Chicago, Illinois, he is now based in Los Angeles, California, where he is a member of the hip hop collective Project Blowed. He has also been a member of Thirsty Fish, Swim Team, and Cavanaugh.

Watergate (album)
Watergate is the second album by American underground hip hop group Thirsty Fish. It was released on Mush Records on May 10, 2011. It is a follow-up to the 2007 album Testing the Waters. The album is executive produced by Busdriver of Project Blowed.
Deportes Concepción (Chile)
Deportes Concepción is a Chilean football club based in the city of Concepción, Biobio Region. As of 2025, they play at the second tier of the Chilean League system, the Primera B de Chile.

The club was founded in 1966, by the organizations of several amateur clubs such as Galvarino, Liverpool, Juvenil Unido, Santa Fe and Club Lord Cochrane. The club is one of the most popular in the VIII region of Chile. Their main rivals are Fernández Vial, with whom they play the "clásico penquista" and Huachipato. The club played their home games at Estadio Ester Roa in Concepción, Chile, which seats 30,448 people.

Huachipato FC
Huachipato FC is a Chilean football club based in Talcahuano that currently plays in the Chilean Primera División. Huachipato was founded on 7 June 1947 by workers of the homonymous steel mill in Talcahuano, and it currently plays its home games at the Estadio Huachipato-CAP Acero which it owns, being one of only five Chilean professional football clubs to own their own ground.

Huachipato have been Chilean champions three times and it is the only team from Southern Chile to ever win the Chilean top flight title. Huachipato is known in Chile from its academy and youth talent production that makes up the bulk of their squad, qualifying for the U-20 Copa Libertadores twice, both times as reigning youth Chilean champions.
Cobh
Cobh (/ˈkoʊv/ KOHV, Irish: An Cóbh), known from 1849 until 1920 as Queenstown, is a seaport town on the south coast of County Cork, Ireland. With a population of 14,148 inhabitants at the 2022 census, Cobh is on the south side of Great Island in Cork Harbour and home to Ireland's only dedicated cruise terminal. Tourism in the area draws on the maritime and emigration legacy of the town.

Facing the town are Spike and Haulbowline islands. On a high point in the town stands St Colman's, the cathedral church of the Roman Catholic Diocese of Cloyne. It is one of the tallest buildings in Ireland, standing at 91.4 metres (300 ft).

R624 road (Ireland)
The R624 road is a regional road in Ireland which runs from the south-east of the N25 in Tullagreen, County Cork to Cobh town centre. It runs to several of County Cork's tourist attractions, including Fota Wildlife Park.

An upgrade had been proposed for the R624, originally planned to begin in 2010. This upgrade expected a new section to the road, to replace the existing road from Tullagreen N25 Carrigtwohill-Cobh Interchange to Belvelly. As of late 2015, no funding for development works on the R624 had been confirmed. However in late 2015 and early 2016, a number of calls were made for funding to be allocated, in particular to fund works on the road's main bridges.

The road is 9.5 km (5.9 mi) long.
Akalyptoischion
Akalyptoischion is a genus of coccinelloid beetle, the only member of the family Akalyptoischiidae. It was formerly included within the family Latridiidae but a molecular phylogenetic analysis found that it did not belong to that family. There are at least 24 described species in Akalyptoischion, which are native to western North America. Members of the genus are flightless, found in oak leaf litter and in the nests of pack rats.

Coccinelloidea
Coccinelloidea is a superfamily of beetles in the order Coleoptera, formerly included in the superfamily Cucujoidea. There are more than 10,000 species in Coccinelloidea, including more than 6000 in the lady beetle family Coccinellidae.
Rondonacara hoehnei
Rondonacara hoehnei is a species of cichlid fish of the subfamily Cichlinae. This species is endemic to the upper das Mortes River basin in the Araguaia drainage of central Brazil. This species is the only known member of its genus, but it was formerly included in Aequidens. Although not yet rated by the IUCN, it has been suggested that it is seriously threatened and should be considered critically endangered. The specific name honour the collector of the type specimen, the Brazilian botanist Frederico Carlos Hoehne (1882-1959).

Aequidens
Aequidens is a genus of fish in the family Cichlidae found in South America. Formerly a wastebasket genus, as presently defined Aequidens is largely restricted to the Amazon Basin, Orinoco Basin and river basins in The Guianas. The only exceptions are A. plagiozonatus which also occurs in the Paraná Basin, and A. tetramerus which also occurs in the Parnaíba River.
Gammaretrovirus
Gammaretrovirus is a genus in the Retroviridae family. Example species are the murine leukemia virus and the feline leukemia virus. They cause various sarcomas, leukemias and immune deficiencies in mammals, reptiles and birds.

Murine leukemia virus
The murine leukemia viruses (MLVs or MuLVs) are retroviruses named for their ability to cause cancer in murine (mouse) hosts. Some MLVs may infect other vertebrates. MLVs include both exogenous and endogenous viruses. Replicating MLVs have a positive sense, single-stranded RNA (ssRNA) genome that replicates through a DNA intermediate via the process of reverse transcription.
Barossa Valley
The Barossa Valley (Barossa German: Barossa Tal) is a valley in South Australia located 60 kilometres (37 mi) northeast of Adelaide city centre. The valley is formed by the North Para River. It is notable as a major wine-producing region and tourist destination.

The Barossa Valley Way is the main road through the valley, connecting the main towns on the valley floor of Nuriootpa, Tanunda, Rowland Flat and Lyndoch. The Barossa Trail walking and cycling path is 40 kilometres (25 mi) long, and passes the main towns, starting from near Gawler on the Adelaide Plains, to Angaston to the east of the valley.

Barossa Trail
The Barossa Trail is a 40 kilometres (25 mi) cycling and walking path through the Barossa Valley in South Australia, opened in May 2014. Much of the Barossa Trail follows the Barossa Valley railway line, but is not a rail trail as part of the railway was still operating at the time it was built. As it is not on the railway formation, it has more undulations than a true rail trail would have. The part near Rowland Flat is away from both the railway and main road. It has much sharper corners than would be expected on a rail trail.

Until 2019 the 27km between Gawler and Tanunda was named the Jack Bobridge Track, after a cyclist who grew up in the area.  Following Bobridge's imprisonment that year for dealing recreational drugs, the Barossa Council extended the  name of the rest of the route to that section.
Femina Miss India
Miss India, also known as Femina Miss India, is a national beauty pageant in India that selects representatives to compete in the Miss World competition, one of the Big Four international beauty pageants. It is organized by Femina, a women's magazine published by The Times Group.

The current Femina Miss India World is Nikita Porwal from Madhya Pradesh. She was crowned by the previous titleholder, Nandini Gupta, on 16 October 2024 in Mumbai.

Reita Faria
Reita Faria Powell (née Faria; born 23 August 1943) is an Indian physician, former model and the winner of Miss World 1966 pageant. She is the first Indian Miss World winner and the first to be qualified as a medical doctor.
Addis Ababa City Cup
The Addis Ababa City Cup (Amharic: አዲስ አበባ ከተማ ዋንጫ) is an annual knockout football competition in men's domestic Ethiopian Football. The tournament is organized by the Addis Ababa Football Federation. It is usually contested among the football clubs based in Addis Ababa with the exception of teams who enter the tournament by invitation.

Ethio Electric SC
Ethio Electric Sport Club (Amharic: ኢትዮ ኤሌክትሪክ ስፖርት ክለብ), also known as EEPCO or Mebrat Hail, is an Ethiopian professional football club based in Addis Ababa. The club currently plays in the Ethiopian Higher League, the second division of Ethiopian football.
Sant'Anna dei Palafrenieri
The Church of Saint Anne in the Vatican (Italian: Sant'Anna in Vaticano), known as Sant'Anna de' Palafrenieri (English: Saint Anne of the Grooms), is a Catholic parish church dedicated to Saint Anne in Vatican City. The church is the parish church of the State of Vatican City and is placed under the jurisdiction of the Vicariate of the Vatican City and is located beside the Porta Sant'Anna (Saint Anne's Gate), an international border crossing between Vatican City State and Italy.

Commissioned by the Venerabile Arciconfraternita di Sant'Anna de Palafrenieri, Giacomo Barozzi da Vignola introduced the oval plan to church design, for the first time in the churches of Sant'Andrea in Via Flaminia and Saint Anne in Vatican, pioneering a plan which was to become influential to Baroque architecture.

Madonna and Child with Saint Anne (Dei Palafrenieri)
The Madonna and Child with St. Anne (Dei Palafrenieri) or Madonna and the Serpent, is one of the mature religious works of the Italian Baroque master Caravaggio, painted in 1605–1606, for the altar of the Archconfraternity of the Papal Grooms (Italian: Arciconfraternita di Sant'Anna de Parafrenieri)  in the Basilica of Saint Peter and taking its theme from Genesis 3:15. The painting was briefly exhibited in the parish church for the Vatican, Sant'Anna dei Palafrenieri, before its removal, due to its unorthodox portrayal of the Virgin Mary. There are a lot of reasons why the piece may have been removed, such as the nudity of the child Jesus and the Virgin Mary revealing too much of her breast. The reputation of the model that Caravaggio used to portray the Virgin Mary could be another reason as to why this altarpiece was withdrawn. The altarpiece was sold to Cardinal Scipione Borghese and now hangs in his palazzo (Galleria Borghese).
Muheza District
Muheza District, officially the, Muheza District Council (Wilaya ya Muheza, in Swahili) is one of eleven administrative districts of Tanga Region in Tanzania. The District covers an area of 1,498 km2 (578 sq mi). It is bordered to the north by Mkinga District, to the east by Tanga and the Indian Ocean, to the south by the Pangani District and Handeni District, and to the west by the Korogwe District.  The district is comparable in size to the land area of Guadeloupe. The town of Muheza, after which the district is named, serves as its administrative capital. According to the 2012 Tanzania National Census, the population of Muheza District had decreased to 238,260; this is less than ten years before, because Mkinga District was created that same year. The highest point in Muheza District is Kimbo Peak at 1,063m.

Mkinga District, Tanga
Mkinga District, officially the, Mkinga District Council (Wilaya ya Mkinga, in Swahili) is one of eleven administrative districts of Tanga Region in Tanzania. It was created from Muheza District in 2007. The District covers an area of 2,712 km2 (1,047 sq mi). The district is comparable in size to the land area of Samoa.  The administrative capital of the district is Parungu Kasera. The district is bordered by  Tanga District to the south east and Muheza District to the south west. On the east the district is bordered by the Indian Ocean. On the west is Korogwe District and Lushoto District. The latter's northern boundary is a slither of Mkomazi National Park. On the north the district borders Kenya.  The highest point in the district is Mhinduro Peak at 913m. The district is home to the Umba Game Controlled Area, the Umba Valley; the world's only source of Umba saffires. According to the 2022 Tanzania National Census, the population of Mkinga District was 146,802.
Avery Plateau
Avery Plateau (66°50′S 65°30′W﻿ / ﻿66.833°S 65.500°W﻿ / -66.833; -65.500) is an ice-covered plateau, about 40 miles (64 km) long and rising to about 2,000 metres (6,600 ft), midway between Loubet Coast and Foyn Coast in Graham Land, Antarctica. It borders the Hemimont Plateau on the south and the Bruce Plateau on the north. The first sighting of this plateau is still being determined. Still, it was presumably seen in January and February 1909 by members of the French Antarctic Expedition under Jean-Baptiste Charcot from various positions in the Matha Strait. It was surveyed in 1946–47 by the Falkland Islands Dependencies Survey and named by the UK Antarctic Place-Names Committee (1955) after Captain George Avery, master of the cutter Lively, who, with Captain John Biscoe in the brig Tula, approached this part of the Antarctic Peninsula in February 1832.

Bruce Plateau
Bruce Plateau (66°S 64°W﻿ / ﻿66°S 64°W﻿ / -66; -64) is an ice-covered plateau, at least 90 nautical miles (170 km) long and about 1,830 metres (6,000 ft) high, extending northeast from the heads of Gould Glacier and Erskine Glacier to the vicinity of Flandres Bay, in Graham Land. It borders Avery Plateau on the south and Forbidden Plateau on the north. The first sighting of this plateau has not been ascertained, but it was presumably seen in January 1909 by members of the French Antarctic Expedition under Jean-Baptiste Charcot from their position in Pendleton Strait. The plateau was mapped from aerial photographs and from Falkland Islands Dependencies Survey surveys, 1946–62, and named by the UK Antarctic Place-Names Committee after William S. Bruce, a Scottish polar explorer and leader of the Scottish National Antarctic Expedition, 1902–04.
Mitsubishi Lancer (A70)
The Mitsubishi Lancer (A70) is the first generation version of Mitsubishi's long-running Lancer nameplate. When introduced in 1973, it filled the gap between the Minica kei car and the considerably larger Galant. It was a replacement for the Colt 1200, last sold in 1970. Although sedan production ended in 1979, vans continued on until 1985. This Lancer also formed the basis for the Lancer Celeste sports coupé of 1975 through to 1981. These Lancers were sold under a multitude of names in different markets.

Mitsubishi Saturn engine
The Mitsubishi Saturn or 4G3 engine is series of overhead camshaft (OHC) straight-four internal combustion engines introduced by Mitsubishi Motors and saw first service in the 1969 Colt Galant. Displacement ranges from 1.2 to 1.8 L (1,239 to 1,755 cc), although there was also a rare 2-litre (1,994 cc) inline-six version built from 1970 until 1976. The early versions have chain driven valvetrain while the later versions are belt driven and equipped with balance shafts.
Resistance 3
Resistance 3 is a 2011 first-person shooter video game developed by Insomniac Games and published by Sony Computer Entertainment for the PlayStation 3. It is the third installment in the Resistance series and the last to be developed by Insomniac Games. Resistance 3 is the first in the series to support 3D and PlayStation Move and was the first to introduce the PSN Pass program. The game shifts away from the military aspect of Resistance: Fall of Man and Resistance 2 and takes on a post-apocalyptic survival-horror feel.

Resistance 3 received generally positive reviews from critics, some of whom deemed it the best in the series, but the game sold poorly and was deemed a commercial failure. On April 8, 2014, the Resistance 3 online servers, along with those for Resistance: Fall of Man and Resistance 2, were shut down by Sony.

PlayStation Move
PlayStation Move (プレイステーションムーヴ, PureiSutēshon Mūvu) is a motion game controller developed by Sony Interactive Entertainment. Initially released in 2010 for use with the PlayStation 3 home video game console, its compatibility was later expanded to its successor, the PlayStation 4, its PlayStation VR platform and the PlayStation 5. A revised model of the controller (with a microUSB terminal) is not backwards-compatible with PS3.

Conceptually similar to Nintendo's Wii Remote, its function is based around controller input in games stemming from the actual physical movement of the player. The Move uses inertial sensors in the wand to detect motion while the wand's position is tracked using a PlayStation Eye or PlayStation Camera. The device was generally well received by critics, but has not quite met Sony's goals for integration into the market.
Tithal
Tithal is an out growth in Valsad district of Gujarat. Tithal is located around 4.1 kilometer away from its district headquarter Valsad. It is known for its beach with brownish-black color soil. Swaminarayan temple, Saibaba temple and Shantidham temple are local places of worship in Tithal.

Valsad
Valsad (pronounced [ˈʋəlsɑɽ]) is a town and municipality in the Valsad district of the Indian state of Gujarat. It is the district headquarters of Valsad district. Valsad is located north of Vapi and shares border with Maharashtra and the union territories of  Daman in the south.
Presenzano
Presenzano (Campanian: Presenzànë) is a comune (municipality) in the Province of Caserta in the Italian region Campania, located about 60 kilometres (37 mi) north of Naples and about 40 kilometres (25 mi) northwest of Caserta.

Presenzano borders the following municipalities: Conca della Campania, Marzano Appio, Mignano Monte Lungo, Pratella, Sesto Campano, Tora e Piccilli, Vairano Patenora.

Vairano Patenora
Vairano Patenora is a comune (municipality) in the Province of Caserta in the Italian region Campania, located about 60 kilometres (37 mi) north of Naples and about 35 kilometres (22 mi) northwest of Caserta.
Old Stratford
Old Stratford is a village and civil parish in West Northamptonshire, England. The population of the civil parish (including Passenham) at the 2011 Census was 1,935. The 'Stratford' part of the village name is Anglo-Saxon in origin and means 'ford on a Roman road'. The Roman road in this sense is the Watling Street that runs through the middle of the village.

West Northamptonshire
West Northamptonshire is one of two unitary authority areas in the ceremonial county of Northamptonshire, England. It contains the county town of Northampton, as well as the towns of Daventry, Brackley and Towcester, and the large villages of Brixworth and Long Buckby; the rest of the area is predominantly agricultural villages though it has many lakes and small woodlands.

West Northamptonshire was created in 2021 as part of local government restructuring from the previous non-metropolitan districts of Northampton, Daventry and South Northamptonshire.

The West Coast Main Line and the M1 and M40 motorways pass through the district, and it includes the site of the Roman town of Bannaventa and the grade I listed Althorp House and its estate.