hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Continuous linear extension
In functional analysis, it is often convenient to define a linear transformation on a complete, normed vector space  by first defining a linear transformation  on a dense subset of  and then continuously extending  to the whole space via the theorem below. The resulting extension remains linear and bounded, and is thus continuous, which makes it a continuous linear extension.

This procedure is known as continuous linear extension.

Complete metric space
In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M.

Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary). For instance, the set of rational numbers is not complete, because e.g.  is "missing" from it, even though one can construct a Cauchy sequence of rational numbers that converges to it (see further examples below). It is always possible to "fill all the holes", leading to the completion of a given space, as explained below.
Pandora's box
Pandora's box is an artefact in Greek mythology connected with the myth of Pandora in Hesiod's c. 700 B.C. poem Works and Days. Hesiod related that curiosity led her to open a container left in the care of her husband, thus releasing curses upon mankind. Later depictions of the story have been varied, with some literary and artistic treatments focusing more on the contents than on Pandora herself.

The container mentioned in the original account was actually a large storage jar, but the word was later mistranslated. In modern times an idiom has grown from the story meaning "Any source of great and unexpected troubles", or alternatively "A present which seems valuable but which in reality is a curse".

Works and Days
Works and Days (Ancient Greek: Ἔργα καὶ Ἡμέραι, romanized: Érga kaì Hēmérai) is a didactic poem written by ancient Greek poet Hesiod around 700 BC. It is in dactylic hexameter and contains 828 lines. At its center, the Works and Days is a farmer's almanac in which Hesiod instructs his brother Perses in the agricultural arts.

Scholars have seen this work against a background of agrarian crisis in mainland Greece, which inspired a wave of colonial expeditions in search of new land. In the poem, Hesiod also offers his brother extensive moralizing advice on how he should live his life. Works and Days is perhaps best known for its two mythological aetiologies for the toil and pain that define the human condition—the story of Prometheus and Pandora, and the so-called Myth of Five Ages.
Li Keran
Li Keran (Chinese: 李可染; Wade–Giles: Li K'o-jan; 26 March 1907 – 5 December 1989), art name Sanqi, was a contemporary Chinese guohua painter and art educator. Considered one of the most important Chinese artists in the latter half of the 20th century, he was also an influential professor at the Central Academy of Fine Arts where he taught a generation of Chinese artists. Although trained in Western oil painting, he was known for his traditional literati paintings with influences from Qi Baishi and Huang Binhong, two renowned masters in Chinese painting.

Li's paintings are highly valued at auctions, with several fetching hundreds of millions of yuan. His personal auction record was set by Thousands of Hills in a Crimsoned View (also translated as Landscape in Red), one of his most celebrated works, which sold for CN¥293.25 million (US$46 million) in June 2012.

Central Academy of Fine Arts
The Central Academy of Fine Arts or CAFA is an art academy under the direct charge of the Ministry of Education of China. The Manila Bulletin calls the school "China's most prestigious and renowned art academy." It is considered one of the most selective schools in the country and turns away more than 90% of its applicants each year.
Terak Township
Terak Township (Chinese: 铁列克乡; pinyin: Tiělièkè Xiāng) is a township of Wuqia County in Xinjiang Uygur Autonomous Region, China. Located in the middle northeast of the county, the township covers an area of 1,500 square kilometers with a population of 3,788 (as of 2017). It has 2 administrative villages under its jurisdiction. Its seat is at Ketkara Village (克特喀拉村).

Terak is located 156 kilometers away northeast of the county seat Wuqia Town. It is bordered by Artux City to the southeast, Baykurut Township to the west, Toyun Township in the northwest. It is bordered by the Kyrghyz Republic with a boundary line of 88 kilometers in the north. There are 22 mountain passes and 5 rivers connecting with Kyrgyzstan.

Village (China)
Villages (Chinese: 村; pinyin: Cūn), formally village-level divisions (村级行政区; Cūn Jí Xíngzhèngqū) in China, serve as a fundamental organizational unit for its rural population (census, mail system). Basic local divisions like neighborhoods and communities are not informal, but have defined boundaries and designated heads (one per area). In 2000, China's densely populated villages (>100 persons/square km) had a population greater than 500 million and covered more than 2 million square kilometers, or more than 20% of China's total area. By 2020, all incorporated villages (with proper conditions making it possible) had road access, the last village to be connected being a remote village in Sichuan province's Butuo County.
Robert Beall (sculptor)
Robert Beall (c. 1836 – 8 January 1892) was an English sculptor, marble merchant and monumental mason, with a stoneyard and workshop in Newcastle upon Tyne, Tyne and Wear. He executed decorative fonts, reredoses and a baptistry screen in various churches, besides monuments and memorials for graveyards, and for three Grade I listed church interiors.

Beall established his workshop in 1861 adjacent to High Level Bridge in Newcastle. Within ten years he was employing fifty-four men, sixteen boys and four women. His company became a business legacy. Beall apprenticed his son Robert Eusebius Beall, who took over the company after his death. Thereafter, the company continued under the name of Robert Beall until the 1930s. Beall's was known for erecting war memorials in the 1920s.

Reredos
A reredos (/ˈrɪərˌdɒs, ˈrɪərɪ-, ˈrɛrɪ-/ REER-dos, REER-ih-, RERR-ih-) is a large altarpiece, a screen, or decoration placed behind the altar in a church. It often includes religious images.

The term reredos may also be used for similar structures, if elaborate, in secular architecture, for example very grand carved chimneypieces. It also refers to a simple, low stone wall placed behind a hearth.
Moral Midgetry
"Moral Midgetry" is the 33rd episode of the American crime drama The Wire, also the eighth episode of the show's third season. The episode was written by Richard Price from a story by David Simon & Richard Price and was directed by Agnieszka Holland. It premiered on November 14, 2004, on HBO in the U.S. In the episode, the Baltimore police face questions from a church deacon and an ambitious politician about lawlessness and violence emerging in the police's designated drug dealing zone, Stringer Bell struggles to advance in his real estate development goals, and relatives learn the true cause of D'Angelo Barksdale's death in prison.

Nearly 1.5 million viewers watched "Moral Midgetry" on its debut. The Futon Critic named it one of the best TV episodes of 2004, and The Guardian and HitFix praised the storytelling and character development surrounding the revelations about D'Angelo Barksdale.

D'Angelo Barksdale
D'Angelo "Dee" Barksdale is a fictional character on the HBO drama The Wire, played by Larry Gilliard Jr. D'Angelo is the nephew of Avon Barksdale and a lieutenant in his drug dealing organization which controls most of the trade in West Baltimore. Stuck between the top and the bottom of the drug trade, he represents the trope of the everyman, and pathos is derived from his wider emotional range than the other gangsters, situation and fate. The immorality and ruthlessness of the drug trade gradually wears on D'Angelo's conscience, bringing him into conflict with the Barksdale leadership, most notably Stringer Bell.
Edwin Corboy
Edwin Wilkie "Ted" Corboy (24 August 1896 – 6 August 1950) was an Australian politician and public servant. He was a member of the Australian Labor Party (ALP) and served in the House of Representatives from 1918 to 1919, representing the Western Australian seat of Swan. Corboy was elected to federal parliament at the age of 22, setting a record for the youngest member of parliament which stood until 2010. He was defeated after a single term, but subsequently served in the Western Australian Legislative Assembly from 1921 to 1933.

Western Australian Legislative Assembly
The Western Australian Legislative Assembly, or lower house, is one of the two chambers of the Parliament of Western Australia, an Australian state. The Parliament sits in Parliament House in the Western Australian capital, Perth.

The Legislative Assembly today has 59 members, elected for four-year terms from single-member electoral districts.  Members are elected using the preferential voting system. As with all other Australian states and territories, voting is compulsory for all Australian citizens over the legal voting age of 18.
Toutai Kefu
Rodger Siaosi Toutai Kefu (born 8 April 1974) is a Tongan-Australian professional rugby union coach and former player who has been coaching the Tonga national team since 2016.

Kefu acquired 60 test caps while primarily playing the position of number eight for Australia. In 2012, he served as the caretaker coach for Tonga and acted as Iona College's assistant. When there was a gap in the international window, Kefu also served as the head coach of Queensland Country in the National Rugby Championship.

Tonga national rugby union team
The Tonga national rugby union team (Tongan: timi feohi ʻakapulu fakafonua ʻa Tonga) represents Tonga in men's international rugby union. The team is nicknamed ʻIkale Tahi (Sea Eagles) and is governed by the Tonga Rugby Union. Like their Polynesian neighbours, the Tongans precede their matches with a traditional challenge – the Sipi Tau. They are members of the Pacific Islands Rugby Alliance (PIRA) along with Fiji and Samoa. The Ikale Tahi achieved a historic 19–14 victory over France in the 2011 Rugby World Cup, but having lost to New Zealand and Canada, were unable to achieve what would have been their first-ever presence at the quarter-finals.
Vasco de Quiroga railway station
The Vasco de Quiroga railway station is a commuter railway station serving the El Insurgente commuter rail system which connects Greater Toluca, State of Mexico, with Mexico City. The station is located near Avenida Vasco de Quiroga and the Cablebús aerial lift station of the same name, located in Santa Fe, Álvaro Obregón, Mexico City. It opened on 2 February 2026.

Álvaro Obregón, Mexico City
Álvaro Obregón (Spanish pronunciation: [ˈalβaɾo oβɾeˈɣon]) is a borough (demarcación territorial) in Mexico City. It contains a large portion of the south-west part of Mexico City. It had a 2020 census population of 759,137 inhabitants and lies at an elevation of 2,319 m. above sea level.

It was named after Álvaro Obregón, a leader of the Mexican Revolution and an early-20th-century Mexican president, who was assassinated in this area. Its former name is San Ángel, and the historic San Ángel neighborhood still retains this name, as does the Televisa San Angel motion picture and television studio, which is located in this municipality, which also includes the well-known upscale commercial neighborhoods Santa Fe, Jardines del Pedregal as well as Colonia Florida.
Comprehensive Agreement on Investment
The Comprehensive Agreement on Investment (CAI) is a proposed investment deal between the People's Republic of China and the European Union. Proposed in 2013, the deal has not been signed as of 2 February 2026. In December 2020, the European Commission announced that the agreement was concluded in principle by the leaders of the European Council, pending ratification by the European Parliament.

In March 2021, however, it was reported that there would be serious doubts about the approval of the deal in the European Parliament given China's "unacceptable" behavior toward members of the parliament, the European Council's Political and Security Committee, and European think tanks.

European Council
The European Council (informally EUCO) is a collegiate body (directorial system) and a symbolic collective head of state, that defines the overall political direction and general priorities of the European Union (EU). It is composed of the heads of state or of government of the EU member states, the president of the European Council, and the president of the European Commission. The High Representative of the Union for Foreign Affairs and Security Policy also takes part in its meetings.

Established as an informal summit in 1975, the European Council was formalised as an institution in 2009 upon the commencement of the Treaty of Lisbon. Its current president is António Costa, former prime minister of Portugal.
Peeran
Peeran is a village and union council (an administrative subdivision) of Mansehra District in the Khyber-Pakhtunkhwa province of Pakistan. It is located in District Mansehra. It is in an area affected by the 2005 Kashmir earthquake.

Peeran is the biggest union council of Mansehra both in population and area. Most of the residents in this area are Awans, Syeds, Gujjers. Most Notable families of this area are the Syeds and the Khans of Lunda[A village in Peeran U/C] who are basically qutabshahi and the descendants of The ruler of Herat[Afghanistan City] who came to this region after conquering this area along with Mahmud Ghaznavi.

Mansehra
Mansehra (Urdu, Hindko:  مانسہرہ) is a city in the Hazara Division of Khyber Pakhtunkhwa province, Pakistan. It is the 71st most populous city in the country and the 7th most populous in the province, and serves as the headquarter of its namesake tehsil and district.
Duet (Zico and Lilas Ikuta song)
"Duet" is a song by South Korean rapper Zico and Japanese singer-songwriter Lilas Ikuta. It was released as a single through KOZ Entertainment on December 19, 2025, alongside its accompanying music video.

Hybe
Hybe Co., Ltd. (Korean: 하이브), commonly known as simply Hybe, is a South Korean multinational conglomerate HYBE has transformed from a traditional music entertainment company (formerly Big Hit Entertainment) into a tech-driven lifestyle platform corporation.

The company operates under three main pillars: Labels, Solutions, and Platforms, with a heavy emphasis on utilizing technology for growth.
Cholmondeley, Cheshire
Cholmondeley (/ˈtʃʌmli/ CHUM-lee) is a civil parish in Cheshire, England, north east of Malpas and west of Nantwich. It includes the small settlements of Croxton Green (SJ552527) and Dowse Green (SJ561517), with a total population of a little over a hundred, increasing to 157 at the 2011 Census. Nearby villages include Bickerton to the north east, Bulkeley to the north, No Man's Heath to the south west, and Bickley Moss to the south.

The name means "clearing of Ceolmund", this being an Old English forename made up of the elements ceol, "ship", and mund, "protection".

Cholmondeley Castle is in Cholmondeley and much of the civil parish falls within the Cholmondeley Estate, owned by the Marquess of Cholmondeley. Its parkland includes mixed woodland and plantations, lakes, gardens and farmland.

Nantwich
Nantwich (/ˈnæntwɪtʃ/ NAN-twitch) is a market town and civil parish in the unitary authority of Cheshire East in Cheshire, England. It has among the highest concentrations of listed buildings in England, with notably good examples of Tudor and Georgian architecture. At the 2021 census, the parish had a population of 14,045 and the built up area had a population of 18,740.
Belgian Army
The Belgian Army (Dutch: Landmacht, French: Force Terrestre) is the land branch of the Belgian Armed Forces. The King of the Belgians is the commander in chief. The current chief of staff of the Belgian Army is Major-General Jean-Pol Baugnée.

Dating back to Belgium's establishment in 1830, the Belgian Army is the oldest service branch of the Belgian Armed Forces, and is also the largest of the four branches, with approximately 10,000 active military personnel and over 2,000 reservists as of 2022.

Monarchy of Belgium
The monarchy of Belgium is the constitutional and hereditary institution of the monarchical head of state of the Kingdom of Belgium. As a popular monarchy, the Belgian monarch uses the title king/queen of the Belgians and serves as the country's head of state and commander-in-chief of the Belgian Armed Forces.

There have been seven Belgian monarchs since independence in 1830. The incumbent, Philippe, ascended the throne on 21 July 2013, following the abdication of his father Albert II.
István Hatvani
István Hatvani (21 November 1718 – 1786) was a Hungarian polyhistor, mathematician, natural philosopher and theologian. Born in Rimavská Sobota (then Rimaszombat), he studied at the Debrecen Reformed Theological University before setting off on his scholarly travels to Basel, Utrecht and Leiden, where he acquired doctorates in theology and medicine and studied under luminaries such as Johann Bernoulli and Daniel Bernoulli. Returning to Debrecen in 1749, he was appointed professor of mathematics, philosophy and experimental physics, introducing a rigorous Newtonian, experiment-based approach in place of the predominant Wolffian logic‑deductive method. His expansive teaching repertoire ranged from theology and ontology to mechanics, astronomy and early probability theory, making him the first Hungarian to apply the law of large numbers in mortality statistics and laying foundations for political arithmetic and proto‑economics in Hungary.

Daniel Bernoulli
Daniel Bernoulli FRS (/bɜːrˈnuːli/ bur-NOO-lee; Swiss Standard German: [ˈdaːni̯eːl bɛrˈnʊli]; 8 February [O.S. 29 January] 1700 – 27 March 1782) was a Swiss mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applications of mathematics to mechanics, especially fluid mechanics, and for his pioneering work in probability and statistics. His name is commemorated in the Bernoulli's principle, a particular example of the conservation of energy, which describes the mathematics of the mechanism underlying the operation of two important technologies of the 20th century: the carburetor and the aeroplane wing.
Conasprella (Endemoconus)
Endemoconus is subgenus  of sea snails, marine gastropod mollusks in the genus Conasprella, family Conidae, the cone snails and their allies.

In the new classification of the family Conidae by Puillandre N., Duda T.F., Meyer C., Olivera B.M. & Bouchet P. (2015), Endemoconus has become a subgenus of Conasprella: Conasprella (Endemoconus) Tucker & Tenorio, 2009 represented as Conasprella Thiele, 1929. Three species have become synonyms of a Conus species.

Conasprella
Conasprella is a genus  of sea snails, marine gastropod mollusks in the family Conidae, the cone snails and their allies.  This genus was formerly (February 2015) treated by some experts as a member of the family Conilithidae and as an "alternative representation" of this group of species.
Mainit
Mainit, officially the Municipality of Mainit (Surigaonon: Lungsod nan Mainit; Cebuano: Lungsod sa Mainit; Tagalog: Bayan ng Mainit), is a municipality in the province of Surigao del Norte, Philippines. According to the 2020 census, it has a population of 28,019 people.

It is situated on the north shore of Lake Mainit in the north-eastern part of Mindanao. The word "mainit" literally means "hot". The other local term for "mainit" is "mapaso." Mainit is home to a hot spring, the Mapaso Wellness Resort frequented by locals and visitors from nearby towns and provinces. It is regarded that Mainit got its name from this hot sulfuric spring.

Surigaonon language
Surigaonon (Filipino: Surigawnon) is an Austronesian language spoken by Surigaonon people. As a regional Philippine language, it is spoken in the province of Surigao del Norte, Surigao del Sur, Dinagat Islands, and some portions of Agusan del Norte, especially the towns near Lake Mainit, Agusan del Sur and Davao Oriental. The language, along with Butuanon and Tausug, are the only Visayan languages geographically native to Mindanao.

Surigaonon is a member of the Bisayan languages. It has been heavily influenced by Cebuano due to the influx of many Cebuanos in the region. However, most Cebuano speakers can hardly understand Surigaonon speakers, except for Cebuanos who have been living in the region for years.

Surigaonon is very closely related to the Tausug language of Sulu and the Butuanon language of Butuan.
Bulancakspor
Bulancakspor, established  in 1926, is a Turkish association football club based in Bulancak, Giresun Province.

The club is currently playing in group 4 of TFF 3. Lig. Bulancakspor has won the FIFA fairplay prize for getting no red cards during 101 games from 1990 till 1994.

TFF 3. Lig
The TFF 3. Lig (lit. 'TFF 3rd League'), currently referred to as Nesine 3. Lig for sponsorship reasons, is the fourth level in the Turkish football league system. It was founded in the 2001–02 season as a continuation of then third level division Turkish Third Football League.
2007 Atlantic Sun men's basketball tournament
The 2007 Atlantic Sun men's basketball tournament was the 29th edition of the Atlantic Sun Conference (A-Sun)'s Men's Basketball Tournament. It took place from March 1–3, 2007 at the Memorial Center on the campus of East Tennessee State University in Johnson City, Tennessee. The Belmont University Bruins won the tournament, defeating the East Tennessee State University Buccaneers 94–67 in the final.

Belmont Bruins men's basketball
The Belmont Bruins men's basketball team represents Belmont University in Nashville, Tennessee. Belmont completed a 10-season run in the Ohio Valley Conference in 2021–22, and joined the Missouri Valley Conference in July 2022. The Bruins play their home games at the Curb Event Center under head coach Casey Alexander. Their most recent NCAA Division I tournament appearance was in 2019.
Ferenceratops
Ferenceratops is an extinct genus of ceratopsian dinosaurs known from the Late Cretaceous (Maastrichtian) Sânpetru and Densuș-Ciula formations of Romania. The genus contains a single species, Ferenceratops shqiperorum, known from a partial skeleton and pelvis. These fossils, in addition to many other isolated or associated remains, were originally referred to the 'rhabdodontid' ornithopod Zalmoxes. Phylogenetic analyses based on new remains of Ajkaceratops suggest Ferenceratops was a close relative of this genus, as part of a distinct lineage of previously unrecognized European ceratopsians.

Sânpetru Formation
The Sânpetru Formation is an early Maastrichtian geologic formation. Dinosaur remains are among the fossils that have been recovered from the formation. It is located in Romania, near Sânpetru village, part of Sântămăria-Orlea commune. It forms a component of the Hațeg Island fauna.