hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Kan extension
Kan extensions are universal constructs in category theory, a branch of mathematics. They are closely related to adjoints, but are also related to limits and ends. They are named after Daniel M. Kan, who constructed certain (Kan) extensions using limits in 1960.

An early use of (what is now known as) a Kan extension from 1956 was in homological algebra to compute derived functors.

In Categories for the Working Mathematician, Saunders Mac Lane titled a section "All Concepts Are Kan Extensions", and went on to write that

The notion of Kan extensions subsumes all the other fundamental concepts of category theory.

Kan extensions generalize the notion of extending a function defined on a subset to a function defined on the whole set. The definition, not surprisingly, is at a high level of abstraction. When specialised to posets, it becomes a relatively familiar type of question on constrained optimization.

Derived functor
In mathematics, specifically category theory, certain functors may be derived to obtain other functors closely related to the original ones. This operation, while fairly abstract, unifies a number of constructions throughout mathematics.
Harefield
Harefield is a village in the London Borough of Hillingdon, England, 17 miles (27 km) northwest of Charing Cross near Greater London's boundary with Buckinghamshire to the west and Hertfordshire to the north. The population at the 2011 Census was 7,399.

Harefield is near Denham, Ickenham, Northwood, Rickmansworth, Ruislip and Uxbridge. Pioneering heart surgery techniques were developed at Harefield Hospital.

Rickmansworth
Rickmansworth (/ˈrɪkmənzwərθ/) is a town in south-west Hertfordshire, England, located approximately 17 miles (27 km) north-west of central London, 5 miles (8 km) south-west of Watford and inside the perimeter of the M25 motorway. The town is mainly to the north of the Grand Union Canal (formerly the Grand Junction Canal) and the River Colne.

Rickmansworth is the administrative seat of the Three Rivers District Council; the confluence of the River Chess and the River Gade with the Colne in Rickmansworth inspired the district's name. The enlarged Colne flows south to form a major tributary of the River Thames.

The town is served by the Metropolitan line of the London Underground and by Chiltern Railways of the National Rail network, between London Marylebone and Aylesbury.
Griffin Curteys
Griffin (Griffith) Curteys or Curtis (by 1521 – 30 November 1587), of Bradenstoke, Wiltshire, was an English estate steward, notably to Sir Henry Long, and member of parliament.

He was a Member (MP) of the Parliament of England for Calne in 1547, Westbury in October 1553, April 1554 and November 1554, Malmesbury in 1558 and Ludgershall in 1563.

Bradenstoke
Bradenstoke is a village in Wiltshire, England, lying to the north of the former RAF Lyneham airbase and 1.5 miles (2.4 km) northwest of Lyneham. Originally lying within Braydon Forest, the "stoke" means "settlement".

Largely consisting of a long and narrow main street, the village has a church, one chapel (it used to have two chapels but the Methodist Chapel has been converted into a dwelling), a village hall and a pub. The Post Office closed in 2008.
Solent Way
50°43′26″N 1°36′00″W﻿ / ﻿50.724°N 1.600°W﻿ / 50.724; -1.600

The Solent Way is a long-distance footpath in Hampshire, southern England. For the most part, the path follows the coast of the Solent, the sea strait that separates mainland Britain from the Isle of Wight. The Solent Way forms part of the King Charles III England Coast Path, as well as part of the E9 European Coastal Path, which runs for 5000 km (3125 miles) from Cape St Vincent in Portugal to Narva-Jõesuu in Estonia.

The way is marked by circular discs bearing a green arrow and a picture of a tern.  These are attached to wooden posts and street furniture along the route.

Cape St. Vincent
Cape St. Vincent (Portuguese: Cabo de São Vicente, Portuguese pronunciation: [ˈkaβu ðɨ sɐ̃w viˈsẽtɨ]) is a headland in the municipality of Vila do Bispo, in the Algarve, southern Portugal. It is the southwesternmost point of Portugal and of mainland Europe.
Nalgora
Nalgora is a village and a gram panchayat within the jurisdiction of the Jaynagar Majilpur police station in the Jaynagar II CD block in the Baruipur subdivision of the South 24 Parganas district in the Indian state of West Bengal.

Jaynagar Majilpur
Jaynagar Majilpur (Bengali: [d͡ʒɔe̯nɔgoɾ mod͡ʒɪlpuɾ] ⓘ) is a town and a municipality of South 24 Parganas district in the Indian state of West Bengal. The town is famous for its confectionery called Jaynagarer Moa.
IAI
IAI is an acronym for:

IAI alphabet, another name for Africa Alphabet

Iaido

Information Architecture Institute

Institute of Art and Ideas

Inter-American Institute for Global Change Research

International African Institute

International Association for Identification

Israel Aerospace Industries (Ha-Taasiya Ha-Avirit)

Islamic Army in Iraq

Independent Administrative Institution

Intelligent Actuator (International Automation Industry), Japanese robot maker

Istituto Affari Internazionali (Italian Institute of International Affairs)

Institute of Archaeologists of Ireland

Intelligent Actuator
Intelligent Actuator, also called IAI, is a robotics design company. It was founded in Japan in 1976. The company designs, manufactures, and markets a complete line of motion control systems. IAI is the world's largest manufacturer of cartesian coordinate robots and is an established leader in low cost, high performance SCARA robots.

With the introduction in 2001 of a full range of "ROBO Cylinders", IAI is also leading a transition away from pneumatics to cost-effective, low-maintenance, and fully programmable electric cylinders.

IAI Industrieroboter GmbH is the European subsidiary of IAI, founded in 1995.

IAI America, Inc. was established in 1989. IAI products are distributed in North America through a network of authorized representatives supported by regional centers in Los Angeles, California, Chicago, Illinois, and Atlanta, Georgia.
Ziya River
The Ziya River is one of five major tributaries in the Hai River system of northern China. The total length of the Ziya River is 730 km (450 mi), its drainage basin covers 78,700 square kilometers (30,400 sq mi). The discharge rate of the Ziya River is about 1 cubic metre (35 cu ft) per second.

The Ziya River flows from Mount Wutai until it reaches the Hai River in Xian County, Hebei. Notable tributaries of the Ziya include the Ming, Hutuo, Fuyang, and Qingshui rivers. It shares a channel with the Hai River near the Southern Canal. A new artificial channel was constructed to connect it to the Bohai Sea near Tianjin under the name New Ziya River.

Xian County
Xian County or Xianxian (simplified Chinese: 献县; traditional Chinese: 獻縣; pinyin: Xìàn Xiàn) is a county in the east of Hebei province of China. It is under the administration of the prefecture-level city of Cangzhou.
Patrick Gallaher (ventriloquist)
Patrick Frederick Gallaher (1800 – 1863) was an Irish ventriloquist who was active in Ireland throughout the Victorian era.

Gallagher was born in Chapleizod, Dublin in 1800 and was performing in theatres on Grafton Street by 1825. Following his death in 1863, he was buried at Glasnevin Cemetery.

His son John Blake Gallaher was a political newspaper editor. John's daughter Fannie was an author, and his son Fred Gallaher, a journalist for the Freeman's Journal was referred to in A Little Cloud by James Joyce.

Grafton Street
Grafton Street (Irish: Sráid Grafton) is one of the two principal shopping streets in Dublin city centre — the other being Henry Street. It runs from St Stephen's Green in the south (at the highest point of the street) to College Green in the north (the lowest point).

The street, on the Southside of the city, was developed from a laneway in the early 1700s, and its line was shaped by the now-culverted River Steyne. Initially, a fashionable residential street with some commercial activity, the character of Grafton Street changed after it was connected to Carlisle Bridge and came to form part of a cross-city route. It suffered from dilapidation and prostitution through the 19th century, with several run-down buildings. During the 20th century, it became known for the coffee house Bewley's, mid- and up-market shopping, and as a popular spot for buskers. It has been assessed as one of the most expensive main retail streets in the world on which to rent.
Achoania
Achoania is an extinct genus of primitive bony fish which lived during the Early Devonian period. It is known from a skull discovered in the Xitun Formation of Yunnan, China. While originally considered to be a lobe-finned fish, later studies suggested that it may be a stem-group Osteichthyes instead.

Early Devonian
The Early Devonian is the first of three epochs comprising the Devonian period, corresponding to the Lower Devonian series. It lasted from 419.62 ± 1.36 to 393.47 ± 0.99 and began with the Lochkovian Stage 419.62 ± 1.36 to 413.02 ± 0.99, which was followed by the Pragian from 413.02 ± 1.36 to 410.62 ± 0.99 and then by the Emsian, which lasted until the Middle Devonian began, 393.47± 0.99 million years ago.
During this time, the first ammonoids appeared, descending from bactritoid nautiloids. Ammonoids during this time period were simple and differed little from their nautiloid counterparts. These ammonoids belong to the order Agoniatitida, which in later epochs evolved to new ammonoid orders, for example Goniatitida and Clymeniida. This class of cephalopod molluscs would dominate the marine fauna until the beginning of the Mesozoic Era.
Knighthawk Air Express
Knighthawk Air Express Ltd. was a cargo airline based in Canada, which operated primarily within Canada, from hubs located in Calgary, the westernmost base, Ottawa, and Montreal. It operated cargo services on behalf of express package services including Purolator, Airborne Express and FedEx.

Cargo airline
Cargo airlines (or air freight carriers, and derivatives of these names) are airlines mainly dedicated to the transport of cargo by air. Some cargo airlines are divisions or subsidiaries of larger passenger airlines.
In 2018, airline cargo traffic represented 262,333 million tonne-kilometres with a 49.3% load factor: 52.1% for dedicated cargo operations, and 47.9% within mixed operations (belly freight of passenger airliners).

Dedicated cargo airlines such as FedEx, UPS, and DHL, operate a fleet of cargo aircraft and handle the entire freight transportation process. Many airlines, like Emirates and Qatar Airways, have dedicated cargo divisions that operate their own fleet of cargo aircraft alongside their passenger operations. During the COVID-19 pandemic, airlines like American Airlines, Air Canada, and Delta Air Lines utilized their passenger planes, removing seats to create space for cargo, to meet the demand for freight transport.
Kim Hye-rin (curler)
Kim Hye-rin (born November 9, 1999) is a South Korean curler from Uijeongbu. She currently plays third on the Chuncheon City Hall curling team, skipped by Ha Seung-youn. While playing for Kim Min-ji, She won a gold medal at the 2018 Pacific-Asia Curling Championships and a silver medal at the 2020 World Junior Curling Championships.

Boundary Ford Curling Classic
The Boundary Ford Curling Classic is an annual bonspiel, or curling tournament, that takes place every November at the Lloydminster Golf and Curling Centre in Lloydminster, Saskatchewan. The tournament, started in 2007 as part of the women's World Curling Tour, is held in a triple knockout format.
Frank–Wolfe algorithm
The Frank–Wolfe algorithm is an iterative first-order optimization algorithm for constrained convex optimization. Also known as the conditional gradient method, reduced gradient algorithm and the convex combination algorithm, the method was originally proposed by Marguerite Frank and Philip Wolfe in 1956. In each iteration, the Frank–Wolfe algorithm considers a linear approximation of the objective function, and moves towards a minimizer of this linear function (taken over the same domain).

Convex optimization
Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently, maximizing concave functions over convex sets).  Many classes of convex optimization problems admit polynomial-time algorithms, whereas mathematical optimization is in general NP-hard.
Russell Payne (soccer)
Russell Payne (born July 13, 1975, in Columbia, Maryland) is an American soccer coach and former player. Payne is a former goalkeeper who is currently the head coach of the Northwestern Wildcats men's soccer team.  He played professionally in Germany, Ireland and Major League Soccer.

Columbia, Maryland
Columbia is a planned community in Howard County, Maryland, United States, consisting of 10 self-contained villages. With a population of 104,681 at the 2020 census, it is the second-most-populous community in Maryland, after Baltimore. Columbia, located between Baltimore and Washington, D.C., is part of the Baltimore metropolitan area and is tracked by the United States Census Bureau as a census-designated place. Columbia proper consists only of territory governed by the Columbia Association, a not-for-profit management company. The United States Postal Service also uses the name for other communities that predate Columbia, including Simpsonville and Atholton; the Census Bureau also counts part of Clarksville as Columbia.

Developer James Rouse founded Columbia in 1967, aiming to create a community that would avoid the inconveniences of then-current subdivision design; eliminate racial, religious and class segregation; and reduce leapfrog and spot zoning development.
2026 Mississippi State Bulldogs football team
The 2026 Mississippi State Bulldogs football team will represent Mississippi State University in the Southeastern Conference (SEC) during the 2026 NCAA Division I FBS football season. The Bulldogs will play their home games at Davis Wade Stadium located in Starkville, Mississippi. Zach Arnett will be replacing Coleman Hutzler as defensive coordinator after Hutzler was fired following the 2025 season and received a position as Auburn's outside linebacker coach.

2025 Mississippi State Bulldogs football team
The 2025 Mississippi State Bulldogs football team represented Mississippi State University in the Southeastern Conference (SEC) during the 2025 NCAA Division I FBS football season. The Bulldogs were led by second-year head coach Jeff Lebby. The team played its home games at Davis Wade Stadium located in Starkville.

The team managed to improve upon its 2–10 record of the previous season with their win in Week 3 over Alcorn State, as well as a 4–0 start, their first since 2014, including an upset win over then No. 12 Arizona State. The team also snapped a 16–game losing streak in SEC play dating back to 2023 with a win over Arkansas. Despite a promising 4–0 start, the team instead floundered to a 1–7 record in SEC play.
Santiago Marathon
The Santiago Marathon (Spanish: Maratón de Santiago)  is an annual event first run in 2007 through the streets of Santiago Chile. Other races include a half marathon and a 10K run.

The marathon held the IAAF Road Race Bronze Label in 2014, 2015 and 2017.

La Moneda Palace
Palacio de La Moneda (Spanish: [paˈlasjo ðe la moˈneða], Palace of the Mint), or simply La Moneda, is the seat of the president of the Republic of Chile. It also houses the offices of three cabinet ministers: Interior, General Secretariat of the Presidency, and General Secretariat of the Government. Located in downtown Santiago, it occupies an entire block in the Civic District, bordered by Moneda street to the north, Morandé street to the east, Alameda del Libertador Bernardo O'Higgins to the south, and Teatinos street to the west.
Gluepot, South Australia
Gluepot is a locality in the Australian state of South Australia located about 180 kilometres (110 miles) north-east of the state capital of Adelaide and about 40 kilometres (25 miles) to the north  of the town of Waikerie.

The locality was established on 26 April 2013 in respect to “the long established local name.”  Its name is derived from the former pastoral lease of the same name.

The land use within Gluepot is concerned with the use of the former pastoral lease as a private protected area known as the Gluepot Reserve which has fully occupied its extent as of 1997.

The 2016 Australian census which was conducted in August 2016 reports that Gluepot shared  a population of three people with adjoining localities.

Gluepot is located within the federal Division of Grey, the state electoral district of Stuart, the Pastoral Unincorporated Area of South Australia and the state’s Murray and Mallee region.

Division of Grey
The Division of Grey is an Australian electoral division in South Australia. The division was one of the seven established when the former Division of South Australia was redistributed on 2 October 1903 and is named for Sir George Grey, who was Governor of South Australia from 1841 to 1845 (and later Prime Minister of New Zealand).
Ivana Dlhopolčeková
Ivana Dlhopolčeková (born 1 June 1986) is a Slovak former ice dancer. She teamed up with partner Hynek Bílek around 2003. They won senior international medals at the 2004 Golden Spin of Zagreb, Ondrej Nepela Memorial, and Pavel Roman Memorial.

Pavel Roman Memorial
The Pavel Roman Memorial (Czech: Memoriál Pavla Romana) an annual ice dance competition sanctioned by the International Skating Union (ISU), organized and hosted by the Czech Figure Skating Association (Czech: Český krasobruslařský svaz) and the Olomouc Figure Skating Club at the Zimní stadion Olomouc in Olomouc, Czech Republic. The competition debuted in 1992 and is named in honor of Pavel Roman, who competed internationally in pair skating and ice dance for Czechoslovakia.

Medals may be awarded at the senior, junior, and novice levels, although competition at every level may not be held every year due to a lack of entrants.
Santa Lucìa alla Badìa, Siracusa
Santa Lucia alla Badia is a baroque-style, Roman Catholic Church, now deconsecrated, located on the south corner of the piazza duomo, located to the south of the façade of the Cathedral of Syracuse), located in the island of Ortigia, the historic city center of Siracusa in Sicily, Italy. The church building and adjacent former monastery is now used for special exhibitions and functions.

Ortygia
Ortygia (/ɔːrˈtɪdʒiə/ or-TIJ-ee-ə; Italian: Ortigia [orˈtiːdʒa]; Ancient Greek: Ὀρτυγία, romanized: Ortygía) is a small island which is the historical centre of the city of Syracuse, Sicily. The island, also known as the Città Vecchia (Old City), contains many historical landmarks.

The name originates from the Ancient Greek órtyx (ὄρτυξ), which means "quail".
Dick Roche
Richard Roche (born 30 March 1947) is an Irish former Fianna Fáil politician who served as Minister of State for European Affairs from 2002 to 2004 and 2007 to 2011 and Minister for the Environment, Heritage and Local Government from 2004 to 2007. He served as a Teachta Dála (TD) for the Wicklow constituency from 1987 to 1992 and 1997 to 2011. He was a Senator for the Administrative Panel from 1992 to 1997.

Administrative Panel
The Administrative Panel is one of five vocational panels which together elect 43 of the 60 members of Seanad Éireann, the senate of the Oireachtas (the legislature of Ireland). The Administrative Panel elects seven senators.
Autorité des Marchés Financiers (France)
The Autorité des marchés financiers (AMF; English: "Financial Markets Authority") is the securities commission in France. The AMF is an independent public body that is responsible for safeguarding investments in financial instruments and in all other savings and investments, as well as maintaining orderly financial markets.

Whereas it is governed under a national framework of accountability, the AMF increasingly implements policies set at the European Union level. It is a voting member of the Board of Supervisors of the European Securities and Markets Authority (ESMA). It is also a member of the European Systemic Risk Board (ESRB).

European Systemic Risk Board
The European Systemic Risk Board (ESRB) is a group established on 16 December 2010 in response to the euro area crisis. It is tasked with the macro-prudential oversight of the financial system within the European Union in order to contribute to the prevention or mitigation of systemic risks to financial stability in the EU. It shall contribute to the smooth functioning of the internal market and thereby ensure a sustainable contribution of the financial sector to economic growth.

The ESRB is a macro-prudential oversight body of the EU and it is part of the European System of Financial Supervision (ESFS), the purpose of which is to ensure the supervision of the EU's financial system. As a body lacking juridical personality, the ESRB relies on hosting and support by the European Central Bank. It includes representatives from the ECB, national central banks and supervisory authorities of EU member states, and the European Commission.
Dan Sonney
Dan Sonney (23 January 1915 – 3 March 2002) was a producer and distributor of exploitation films. He was the son of Louis Sonney, who founded Sonney Amusements, the husband of Margaret Sonney, and a long-term business partner of David F. Friedman. He was, for a time, the owner of the mummified corpse of the American outlaw Elmer McCurdy.

In 2001 he co-starred in the documentary Mau Mau Sex Sex along with Friedman.

His father, Louis, was a coal miner-turned-lawman who arrested notorious bank robber Roy Gardner.

Elmer McCurdy
Elmer J. McCurdy (January 1, 1880 – October 7, 1911) was an American outlaw who was killed in a shoot-out with police after robbing a train in Oklahoma in October 1911. Dubbed "The Bandit Who Wouldn't Give Up", his mummified body was first put on display at an Oklahoma funeral home and then became a fixture on the traveling carnival and sideshow circuit during the 1920s through the 1960s. After changing hands several times (it is not possible under U.S. law to own a human cadaver), McCurdy's remains eventually wound up at The Pike amusement zone in Long Beach, California, where they were discovered by crew members for the television series The Six Million Dollar Man and positively identified in December 1976.

In April 1977, McCurdy's body was buried at the Summit View Cemetery in Guthrie, Oklahoma.

McCurdy is the subject of the musical Dead Outlaw, which premiered off-Broadway in 2024 before transferring to Broadway in April, 2025.
High Noon (2000 film)
High Noon is a 2000 American Western television film directed by Rod Hardy and written by Carl Foreman and T. S. Cook. It is a remake of the 1952 film High Noon, also written by Foreman, itself based on the 1947 Collier's magazine short story "The Tin Star" by John W. Cunningham. The film stars Tom Skerritt, Susanna Thompson, Reed Diamond, María Conchita Alonso, Dennis Weaver, August Schellenberg and Michael Madsen. The film premiered on TBS on August 20, 2000.

Susanna Thompson
Susanna Thompson (born January 27, 1958) is an American actress. She is known for her roles in films Little Giants (1994), Ghosts of Mississippi (1996), Random Hearts (1999) and Dragonfly (2002). On television, she played Dr. Lenara Kahn in the episode "Rejoined" in Star Trek: Deep Space Nine (1995), the Borg Queen in three episodes of Star Trek: Voyager (1999–2000), Karen Sammler on the drama series Once and Again (1999–2002), and Moira Queen on the series Arrow (2012–2020).