hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Koszul complex
In mathematics, the Koszul complex was first introduced to define a cohomology theory for Lie algebras, by Jean-Louis Koszul (see Lie algebra cohomology). It turned out to be a useful general construction in homological algebra. As a tool, its homology can be used to tell when a set of elements of a (local) ring is an M-regular sequence, and hence it can be used to prove basic facts about the depth of a module or ideal which is an algebraic notion of dimension that is related to but different from the geometric notion of Krull dimension. Moreover, in certain circumstances, the complex is the complex of syzygies, that is, it tells you the relations between generators of a module, the relations between these relations, and so forth.

Depth (ring theory)
In commutative and homological algebra, depth is an important invariant of rings and modules. Although depth can be defined more generally, the most common case considered is the case of modules over a commutative Noetherian local ring. In this case, the depth of a module is related with its projective dimension by the Auslander–Buchsbaum formula. A more elementary property of depth is the inequality

where  denotes the Krull dimension of the module . Depth is used to define classes of rings and modules with good properties, for example, Cohen-Macaulay rings and modules, for which equality holds.
Sir Jamsetjee Jejeebhoy, 3rd Baronet
Sir Jamsetjee Jeejebhoy, 3rd Baronet, CSI, (3 March 1851 – 16 July 1898) was an Indian businessman.

Born Menekjee Cursatjee, he was the eldest son of Sir Jamsetjee Jeejeebhoy, the second baronet. His son inherited the baronetcy from his father in 1877. Jeejebhoy enjoyed the advantages of an English education, and continued the career of benevolent activity and loyalty to British rule which had been the theme of his father and grandfather's life. His public service was recognised by his nomination to the Order of the Star of India, as well as by appointment to the Legislative Councils of Calcutta and Bombay. In 1881, he visited King Kalākaua of Hawaii on the monarch's world tour, while he was in Bombay. Upon his death in 1898 at age 47, his title was inherited by his younger brother, Cowsajee.

Jamsetjee Jejeebhoy
Sir Jamsetjee Jejeebhoy, 1st Baronet, CMG, FRAS (15 July 1783 – 14 April 1859), also spelt Jeejeebhoy or Jeejebhoy, was an Indian merchant and philanthropist. He made a significant fortune in cotton and was also a participant in the opium trade.
Artisans Angkor
Artisans Angkor is a Cambodian social business established in 1992 with the aim of providing employment opportunities for rural youth while preserving traditional Khmer craftsmanship (stone and wood carving, carving, lacquering, and silver plating).

Artisans Angkor is located in Siem Reap, Cambodia, with its main workshop situated a short walk from the Old Market. The organisation operates two public sites: a crafts workshop on Stung Thmey Street and the Angkor Silk Farm located in Puok district.

Artisans Angkor products can be purchased at seven retail outlets, including shops in Siem Reap, the Angkor Silk Farm, Phnom Penh, and both Siem Reap and Phnom Penh International Airports.
 Seven shops selling handmade items made by Artisans Angkor are in Siem Reap centre, at the Angkor Silk Farm, at the Angkor Café in front of Angkor Wat temple, in Phnom Penh city centre and in Siem Reap and Phnom Penh International Airport as well.

Siem Reap
Siem Reap (Khmer: សៀមរាប, Siĕm Réab [siəm riəp]) is the second-largest city of Cambodia, as well as the capital and largest city of Siem Reap Province in northwestern Cambodia.

Siem Reap possesses French-colonial and Chinese-style architecture in the Old French Quarter and around the Old Market. The city is a major hub for tourism in Cambodia due to its close proximity to the ancient temples of Angkor constructed during the Khmer Empire. In and around the city there are museums, traditional Apsara dance performances, a Cambodian cultural village, souvenir and handicraft shops, silk farms, rice paddies in the countryside, fishing villages and a bird sanctuary near Tonlé Sap, and a cosmopolitan drinking and dining scene.

Siem Reap was named the ASEAN City of Culture for the period 2021–2022 at the 9th Meeting of the ASEAN Ministers Responsible for Culture and Arts (AMCA) organized on Oct 22, 2020.
Etchingham railway station
Etchingham railway station is on the Hastings line in the south of England and serves the village of Etchingham, East Sussex. It is 47 miles 34 chains (76.3 km) down the line from London Charing Cross. The station and all trains serving it are operated by Southeastern.

Southeastern (train operating company)
SE Trains Limited, trading as Southeastern, is a state-owned British train operating company in the south east of England. It operates services to destinations in Kent, London and East Sussex, including the domestic services on High Speed 1.

It is owned by DfT Operator, which took over operating the South Eastern franchise from privately owned London & South Eastern Railway (which also traded as Southeastern) on 17 October 2021.
Flat Bastion Magazine
The Flat Bastion Magazine is a 19th-century magazine in the British Overseas Territory of Gibraltar. It is located within the Flat Bastion, a fortification that projects from the 16th century Charles V Wall at the former southern limit of the city. Flat Bastion Road extends through the bastion, just to the west of the magazine, south of which it becomes Gardiner's Road. Flat Bastion Magazine was constructed to store gunpowder, but eventually lay abandoned for years. While the Government of Gibraltar initially planned to develop it for parking, geology enthusiast Freddie Gomez and a colleague restored the building, which is now used as a geological research facility and exhibition centre. Both the Flat Bastion and the Flat Bastion Magazine are listed with the Gibraltar Heritage Trust. In addition, Gomez received the 2001 Heritage Award for the restoration of the building.

Charles V Wall
The Charles V Wall is a 16th-century defensive curtain wall that forms part of the fortifications of the British Overseas Territory of Gibraltar. Originally called Muralla de San Benito (English: St. Benedict's Wall), it was built in 1540 and strengthened in 1552 by Holy Roman Emperor Charles V. The wall remains largely intact and extends from South Bastion, which was once at the water's edge in the harbour, to the top ridge of the Rock of Gibraltar.
2024 Baptist Health 200
The 2024 Baptist Health 200 was the 21st stock car race of the 2024 NASCAR Craftsman Truck Series, the fifth race of the Playoffs, the second race of the Round of 8, and the 28th iteration of the event. The race was held on Saturday, October 26, 2024, at Homestead–Miami Speedway in Homestead, Florida, a 1.5 miles (2.4 km) permanent oval shaped racetrack. The race took the scheduled 134 laps to complete. In a fast-paced race, Grant Enfinger, driving for CR7 Motorsports, would take the lead late from Layne Riggs, and dominated the final stages of the race on fuel mileage to earn his 12th career NASCAR Craftsman Truck Series win, his second of the season, and his second consecutive win. Corey Heim started on the pole and led a race-high 68 laps, but was unable to catch Enfinger on his pit road strategy and finished 4th. To fill out the podium, Ty Majeski, driving for ThorSport Racing, and Connor Mosack, driving for Spire Motorsports, would finish 2nd and 3rd, respectively.

Corey Heim
Corey David Heim (born July 5, 2002) is an American professional stock car racing driver. He competes part-time in the NASCAR Cup Series, driving the No. 67 Toyota Camry XSE for 23XI Racing, as a development driver for 23XI and part-time in the NASCAR Craftsman Truck Series, driving the No. 1 Toyota Tundra TRD Pro for Tricon Garage.

Heim is the 2025 NASCAR Craftsman Truck Series champion.
2021 British Grand Prix (athletics)
The 2021 British Grand Prix, officially the 2021 Müller Grand Prix Gateshead because of title sponsor Müller, was the 2021 edition of the annual outdoor track and field meeting in Gateshead, England. Held on 23 May at the Gateshead International Stadium, it was the first leg of the 2021 Diamond League – the highest level international track and field circuit. It was the first time the meeting was held in Gateshead instead of Birmingham since 2010, replacing the Rabat Diamond League which was cancelled because of the COVID-19 pandemic.

In addition to 14 Diamond League disciplines (7 men and 7 women), the first hour of competition included 100 metres and 200 metres sprint para-athletics events for both sexes, and a women's 400 metres hurdles event. Olympic champions, world champions, and world record holders had been announced to compete including Shelly-Ann Fraser-Pryce, Dina Asher-Smith, and Sha'Carri Richardson in the women's 100 metres.

British Grand Prix (athletics)
The British Grand Prix, formerly known as the Birmingham Grand Prix or the Aviva Birmingham Grand Prix, was an annual athletics meeting. From 2010 through 2021 it was a part of the Diamond League series of track and field meets. From 1997 through 2005 the name British Grand Prix was used for meetings that were part of the London Grand Prix series, before reverting to the meetings usually held in Gateshead and Birmingham.

In 2020 the event was due to be held at the Gateshead International Stadium but was cancelled due to the COVID-19 pandemic in the United Kingdom. The event returned once more to Gateshead in 2021. There was a 2022 Diamond League meeting (2022 Birmingham Diamond League) held at Alexander Stadium in Birmingham, though it was officially a continuation of the Anniversary Games (usually held in London) rather than a British Grand Prix event.
Nathan Sobey
Nathan Adam Sobey (born 14 July 1990) is an Australian professional basketball player for the South East Melbourne Phoenix of the National Basketball League (NBL). He played college basketball for the Wyoming Cowboys before debuting in the NBL in 2014 for the Cairns Taipans. He was a member of the Australian Boomers team that won bronze at the 2020 Tokyo Olympics.

National Basketball League (Australia)
The National Basketball League (NBL) is a men's professional basketball league in Australasia, currently composed of ten teams: nine in Australia and one in New Zealand. It is the premier professional men's basketball league in Australia and New Zealand. The league was played in the Australian winter until 1998 when it switched to summer seasons beginning with the 1998–99 season. The NBL's regular season runs from September to February, with each team playing 33 games. The league's finals extends into March to April, culminating with the Championship grand final series.
Jamyang Namgial
Jamyang Namgial (born 3 June 1985) is an Indian skier. Namgial participated in his first Olympic event at the 2010 Winter Olympics, competing in the men's giant slalom event of Alpine skiing. He also participated in the 2007 Asian Winter Games.

Namgial served in the Ladakh Scouts regiment of the Indian Army.

2007 Asian Winter Games
The 6th Asian Winter Games (第六届亚洲冬季运动会), also known as Changchun 2007 (长春2007), were held in Changchun, Jilin, China from January 28 to February 4, 2007. The Winter Games are a celebration of Winter sports in Asia. This was the second time that China hosted the Asian Winter Games; the first was in Harbin, Heilongjiang in 1996.
Brennan Lee Mulligan
Brennan Lee Mulligan (born January 4, 1988) is an American comedian, actor, writer, and gamemaster. He often works with Dropout (formerly CollegeHumor) as a writer, performer, and producer. He is the creator and regular gamemaster for Dropout's actual play series Dimension 20 as well as the dungeon master for the first four seasons of the creator-owned actual play podcast Worlds Beyond Number and the fourth campaign of the actual play web series Critical Role. He also wrote the superhero webcomic Strong Female Protagonist alongside artist Lee Knox Ostertag.

Actual play
Actual play, also called live play, is a genre of podcast or web show in which people play tabletop role-playing games (TTRPGs) for an audience. Actual play often encompasses in-character interactions between players, storytelling from the gamemaster, and out-of-character engagements such as dice rolls and discussion of game mechanics. The genre emerged in the early 2000s and became more popular throughout the decade, particularly with the 2015 debut of Critical Role, an actual play webseries featuring professional voice actors.
Laval Prédateurs
The Laval Prédateurs were an ice hockey team based in Laval, Quebec which competed in the Ligue Nord-Américaine de Hockey (LNAH) from 2013 to 2017. Their home arena was the historic Colisée de Laval, built in 1954 and nicknamed the "House of Pain", which seats 3500 spectators. The team originated in the city of Salaberry-de-Valleyfield as the Valleyfield Braves but relocated to Laval due to lackluster attendance and financial issues. The team finished the 2013–14 season as the Laval Braves before being renamed the Laval Laval Prédateurs for the start of the 2014–15 season. On May 31, 2017, it was announced that the Laval Prédateurs would cease operations.

Trois-Rivières Draveurs (LNAH)
The Trois-Rivières Draveurs (French: Les Draveurs de Trois-Rivières) were an ice hockey team based in Trois-Rivières, Quebec. The team was part of the Ligue Nord-Américaine de Hockey (LNAH) and played at the Colisée de Trois-Rivières.

The team started in Pont-Rouge, Quebec in 1996–97 as the Pont-Rouge Grand Portneuf and became the Pont-Rouge Caron & Guay in 2001–02 before moving to Trois-Rivières in 2004–05.

The team was known as the Trois-Rivières Caron & Guay until the 2013–14 season when the team name was changed to the Trois-Rivières Vikings. Before the 2014–15 season, the name was changed again, to the Trois-Rivières Blizzard. In July 2017, it was announced that the club had been renamed to Trois-Rivières Draveurs following a change in ownership. The new name was taken from the former major junior ice hockey team which competed in the Quebec Major Junior Hockey League from 1973 to 1992. The new ownership had its membership revoked from the LNAH after one season.
Hydra (band)
Hydra is an American Southern rock band founded in 1970 by Spencer Kirkpatrick (guitar), Wayne Bruce (vocals and guitar), Steve Pace (drums) and Orville Davis (bass). In 1977, it became a three-piece band (with Wayne Bruce now on bass) and the band broke up later that year. It released three albums, Hydra (1974), Land of Money (1975) and Rock the World (1977). In 2005, the band reunited for two shows (with Vickery on bass). A live album, Hydra: Live After All These Years was released.

Southern rock
Southern rock is a subgenre of rock music and a genre of Americana. It developed in the Southern United States from rock and roll, country and blues, and is focused generally on electric guitars and vocals.
Elizabeth Nyanibah
Elizabeth Nyanibah (also spelled Nyaniba; c. 1877 – c. 1977) was the mother of Kwame Nkrumah, the first President of Ghana. She raised Nkrumah in the town of Nkroful. Nyaniba Estate in Osu, Accra, was named after her.

Nkroful
Nkroful is a village and the capital of the Ellembelle District in the Western Region of Ghana, located near Axim in the Nzema East Municipal. The village is the birthplace of Kwame Nkrumah, Ghana's first president.
Igor Osipov
Igor Vladimirovich Osipov (Russian: Игорь Владимирович Осипов; born 6 March 1973) is an officer of the Russian Navy. He has held the rank of admiral since 2021.

Born 1973 in the Kazakh SSR, part of the Soviet Union, Osipov studied at the Higher Naval School of Submarine Navigation, and joined the Pacific Fleet after graduation. His early service was spent aboard the small anti-submarine Grisha-class corvettes, gradually rising through the ranks to command his own vessel. Staff appointments in the fleet followed, as well as further study in the navy's higher education establishments, before he took command of the Baltic Fleet's base at Baltiysk. He was appointed commander of the Caspian Flotilla in 2015, returned to the Pacific Fleet as its chief of staff and deputy commander the following year, and in 2018 became Deputy Chief of the General Staff of the Armed Forces of the Russian Federation. He commanded the Black Sea Fleet from May 2019 to August 2022.

Grisha-class corvette
The Grisha class, Soviet designation Project 1124 Al'batros, are a series of anti-submarine corvettes built by the Soviet Union between 1970 and 1990 and later by Russia and Ukraine. These ships have a limited range and are largely used only in coastal waters. They have been equipped with a variety of anti-submarine weapons and an SA-N-4 'Gecko' surface-to-air missile launcher. All were fitted with retractable fin stabilizers.

The designation "corvette" for these ships was a conditional adaptation as the Soviet classification was a small anti-submarine ship (Russian: Малый противолодочный корабль, romanized: Malyy protivolodochnyy korabl, lit. 'Small anti-submarine ship') (MPK). In the Russian Navy, the Grishas are expected to be partially replaced by the Steregushchiy-class corvette.
The Woman in Red Boots
The Woman in Red Boots (French: La Femme aux bottes rouges; Italian: La ragazza con gli stivali rossi; Spanish: La mujer con botas rojas) is a 1974 fantasy comedy-drama film co-written and directed by Juan Luis Buñuel. The film stars Catherine Deneuve as a beautiful young writer with the power to make her wishes reality whose life becomes entangled with the plots of the wealthy art patron Perrot, played by Fernando Rey. The film is highly surrealistic and tinged with a meta-narrative, with the characters roughly representing divisions of the art world: the raw creative power of young Françoise, the heroine who has nearly unlimited potential; the cynical manipulation and distant intellectualism of the elder Perrot; and the middle-aged Marc (Adalberto Maria Merli), trapped in the middle and forced to choose.

Fernando Rey
Fernando Casado Arambillet (20 September 1917 – 9 March 1994), best known as Fernando Rey, was a Spanish film, theatre, and television actor, who worked in both Europe and the United States. A suave, international actor best known for his roles in the films of surrealist director Luis Buñuel (Viridiana, 1961; Tristana, 1970; Discreet Charm of the Bourgeoisie, 1972; That Obscure Object of Desire, 1977) and as the drug lord Alain Charnier in The French Connection (1971) and French Connection II (1975), he appeared in more than 150 films over half a century.

The debonair Rey was described by French Connection producer Philip D'Antoni as "the last of the Continental guys". He achieved his greatest fame after he turned 50: "Perhaps it is a pity that my success came so late in life", he told the Los Angeles Times. "It might have been better to have been successful while young, like El Cordobés in the bullring. Then your life is all before you to enjoy it."
The Color Purple
The Color Purple is a 1982 epistolary novel by American author Alice Walker that won the 1983 Pulitzer Prize for Fiction and the National Book Award for Fiction.

The novel has been the target of censors numerous times, and appears on the American Library Association list of the 100 Most Frequently Challenged Books of 2000–2010 at number seventeen  because of the sometimes explicit content, particularly in terms of violence. In 2003, the book was listed on the BBC's The Big Read poll of the UK's "best-loved novels."

The novel has been adapted into various other media, including feature films in 1985 and 2023, a 2005 musical, and a 2008 radio serial on Woman's Hour on BBC Radio 4.

Pulitzer Prize for Fiction
The Pulitzer Prize for Fiction is one of the seven American Pulitzer Prizes that are annually awarded for Letters, Drama, and Music. It recognizes distinguished fiction by an American author, preferably dealing with American life, published during the preceding calendar year.

As the Pulitzer Prize for the Novel (awarded 1918–1947), it was one of the original Pulitzers; the program was inaugurated in 1917 with seven prizes, four of which were awarded that year (no Novel prize was awarded in 1917, the first one having been granted in 1918).

The name was changed to the Pulitzer Prize for Fiction in 1948 and eligibility was expanded to the broader "distinguished fiction published in book form". The Advisory Board wanted to give the award to James A. Michener's Tales of the South Pacific, which required expanding the category criteria and lifting the ban on short stories.

Finalists have been announced since 1980, usually a total of three.
Thomas Bavin
Sir Thomas Rainsford Bavin, KCMG, KC (5 May 1874 – 31 August 1941) was an Australian lawyer and politician who served as Premier of New South Wales from 1927 to 1930. He was born in New Zealand and arrived in Australia at the age of 15, where he studied law and became a barrister. He served as personal secretary to Australia's first two prime ministers, Edmund Barton and Alfred Deakin. Bavin was elected to the New South Wales Legislative Assembly in 1917. He served two terms as Attorney General of New South Wales (1921, 1922–1925) before leading the Nationalist Party to victory at the 1927 state election, in a coalition with the Country Party. His predecessor Jack Lang and the Australian Labor Party (ALP) defeated his government after a single term at the 1930 state election.

Nationalist Party (Australia)
The Nationalist Party, also known as the National Party, was an Australian political party. It was formed in February 1917 from a merger between the Liberal Party and the National Labor Party, the latter formed by Prime Minister Billy Hughes and his supporters after the 1916 Labor Party split over World War I conscription. The Nationalist Party was established as a 'united' non-Labor opposition that had remained a political trend once the Labor party established itself in federal politics. The party  was in government (from 1923 in coalition with the Country Party) until electoral defeat in 1929. From that time it was the main opposition to the Labor Party until it merged with pro-Joseph Lyons Labor defectors to form the United Australia Party (UAP) in 1931. The party is a direct ancestor of the Liberal Party of Australia, the main centre-right party in Australia.
Psari, Messenia
Psari (Greek: Ψάρι) is a village in Messenia, Greece. Since 2011, it is part of the municipality of Oichalia according to the Kallikratis program, while previously it was part of the municipality of Dorio. According to the 2021 census, it has a population of 227.

Oichalia, Messenia
Oichalia (Greek: Οιχαλία) is a village and a municipality in Messenia, Greece. The seat of the municipality is in Meligalas. Oichalia is known for its rich expanse of olive trees and fig orchards. At its height the village boasted several cafes, a bustling farmer's market, and a popular open-air cinema run by the Limberopoulos family.  Other families, such as the Hantzopoulos and Karbaliotis clans, the former a cobbler and the latter a butcher, helped make Oichalia the destination of choice for Messinians in need of footwear and quality meats.
Contigo (song)
"Contigo" (transl. "With You") is a song by Colombian singer Karol G and Dutch DJ Tiësto. It was released through Bichota Records and Interscope on February 14, 2024, the same day as Valentine's Day and Karol G's birthday.  The song's entire melody is interpolated directly from "Bleeding Love" (2007) by Leona Lewis.

"Contigo" is the third collaboration between Karol G and Tiësto, after "Don't Be Shy" (2021) and the remix of "Provenza" (2023).

Don't Be Shy (Tiësto and Karol G song)
"Don't Be Shy" is a song by Dutch DJ Tiësto and Colombian singer-songwriter Karol G. It was released on 12 August 2021 via Atlantic Records as 
the second single from Tiësto's seventh studio album Drive. It also marks Karol G's English language debut.