hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Logical equivalence
In logic and mathematics, statements  and  are said to be logically equivalent if they have the same truth value in every model. The logical equivalence of  and  is sometimes expressed as , , , or , depending on the notation being used.
However, these symbols are also used for material equivalence, so proper interpretation would depend on the context. Logical equivalence is different from material equivalence, although the two concepts are intrinsically related.

Material conditional
The material conditional (also known as material implication) is a binary operation commonly used in logic. When the conditional symbol  is interpreted as material implication, a formula  is true unless  is true and  is false.

Material implication is used in all the basic systems of classical logic as well as some nonclassical logics. It is assumed as a model of correct conditional reasoning within mathematics and serves as the basis for commands in many programming languages. However, many logics replace material implication with other operators such as the strict conditional and the variably strict conditional. Due to the paradoxes of material implication and related problems, material implication is not generally considered a viable analysis of conditional sentences in natural language.
Rhabdomys
Rhabdomys is a largely Southern African genus of muroid rodents slightly larger than house mice. They are known variously as striped or  four-striped mice or rats. Traditionally the genus has been seen as a single species, Rhabdomys pumilio, though modern evidence on the basis of karyotype and mtDNA analysis suggests that it comprises two or more species and subspecies. Dorsally Rhabdomys species display four characteristic black longitudinal stripes on a paler background.

Desert pygmy mouse
The desert pygmy mouse (Mus indutus) is a species of rodent in the family Muridae.
It is found in Angola, Botswana, Namibia, South Africa, Zambia, and Zimbabwe.
Its natural habitats are dry savanna and subtropical or tropical high-altitude grassland.
Triangular cupola
In geometry, the triangular cupola is the cupola with hexagon as its base and triangle as its top. If the edges are equal in length, the triangular cupola is the Johnson solid. It can be seen as half a cuboctahedron. The triangular cupola can be applied to construct many polyhedrons.

Triangular prism
A triangular prism or trigonal prism is a prism with two triangular bases in geometry. If the edges pair with each triangle's vertex and if they are perpendicular to the base, the triangular prism is a right prism. A right triangular prism may be both semiregular and uniform.

The triangular prism can be used as the core of constructing other polyhedra, examples are some of the Johnson solids and Schönhardt polyhedron. It has a relationship with the honeycombs and polytopes. It can be found in many real-life applications as in architecture and natural science.
2025 Hungarian Grand Prix
The 2025 Hungarian Grand Prix (officially known as the Formula 1 Lenovo Hungarian Grand Prix 2025) was a Formula One motor race that took place on 3 August 2025 at the Hungaroring in Mogyoród, Hungary. It was the fourteenth round of the 2025 Formula One World Championship. Charles Leclerc took pole position for the race in the Ferrari, but lost out to Lando Norris, who won the race to give McLaren their 200th Formula One victory. Norris's teammate Oscar Piastri and George Russell of Mercedes rounded out the podium.

2025 Monaco Grand Prix
The 2025 Monaco Grand Prix (officially known as the Formula 1 TAG Heuer Grand Prix de Monaco 2025) was a Formula One motor race held on 25 May 2025, at the Circuit de Monaco in Monaco. It was the eighth round of the 2025 Formula One World Championship. Lando Norris of McLaren took pole position for the race, which he went on to win, his second of the season, with Charles Leclerc of Ferrari second and Norris's teammate Oscar Piastri third. This was the first McLaren race victory at Monaco since 2008.
Strontium-89
Strontium-89 (89Sr) is a radioactive isotope of strontium  with a half-life of 50.56 days. It undergoes β− decay (with practically no gamma rays) into yttrium-89. Strontium-89 has application in medicine. It is also a fission product, but is produced technically by neutron capture on ordinary strontium.

Strontium-90
Strontium-90 (90Sr) is a radioactive isotope of strontium produced by nuclear fission, with a half-life of 28.91 years. It undergoes β− decay into 90Y with a decay energy of 0.546 MeV. 90Sr has applications in medicine and industry and is an isotope of concern in fallout from nuclear weapons, nuclear weapons testing, and nuclear accidents.
Cathedral of Saint Paul (Minnesota)
The Cathedral of Saint Paul is a Catholic cathedral in Saint Paul, Minnesota. It is the co-cathedral of the Archdiocese of Saint Paul and Minneapolis, along with the Basilica of Saint Mary in Minneapolis. It sits on Cathedral Hill overlooking downtown Saint Paul and features a distinctive copper-clad dome. It is dedicated to Paul the Apostle, who is also the namesake of the city. The current building opened in 1915 as the fourth cathedral of the archdiocese to bear this name. On March 25, 2009, it was designated as the National Shrine of the Apostle Paul by the United States Conference of Catholic Bishops. It is the third-largest Catholic cathedral and sixth-largest church in the United States.

John Gregory Murray
John Gregory Murray (February 26, 1877 – October 11, 1956) was an American Catholic prelate who served as archbishop of Saint Paul in Minnesota from 1931 until his death in 1956. He previously served as an auxiliary bishop of the Diocese of Hartford in Connecticut from 1920 to 1925 and as bishop of Portland in Maine from 1925 to 1932.
Adelphi Theatre
The Adelphi Theatre /əˈdɛlfi/ is a West End theatre, located on the Strand in the City of Westminster, central London. The present building is the fourth on the site. The theatre has specialised in comedy and musical theatre, and today it is a receiving house for a variety of productions, including many musicals. The theatre was Grade II listed for historical preservation on 1 December 1987.

The Dancing Mistress
The Dancing Mistress is a musical comedy with music by Lionel Monckton, book by James T. Tanner and lyrics by Adrian Ross and Percy Greenbank. It depicts the fortunes of a school dancing mistress who is dismissed and finds fortune and happiness in Switzerland. The piece ran in the West End of London in 1912 and 1913, and toured the British provinces in 1914.
Ireland in the Eurovision Song Contest 1987
Ireland was represented at the Eurovision Song Contest 1987 with the song "Hold Me Now", written and performed by Johnny Logan. The Irish participating broadcaster, Radio Telefís Éireann (RTÉ), selected its entry through a national final. The entry eventually won the Eurovision Song Contest.

Ireland in the Eurovision Song Contest 2018
Ireland was represented at the Eurovision Song Contest 2018 with the song "Together", sung by Ryan O'Shaughnessy and written by O'Shaughnessy, Mark Caplice and Laura Elizabeth Hughes. The Irish song and the singer for the 2018 contest in Lisbon, Portugal were internally selected by the Irish broadcaster Raidió Teilifís Éireann (RTÉ). O'Shaughnessy's internal selection was announced on 31 January 2018, while "Together" was presented on 9 March 2018.

Ireland was drawn to compete in the first semi-final of the Eurovision Song Contest which took place on 8 May 2018. Performing during the show in position 18, "Together" was announced among the top 10 entries of the first semi-final and therefore qualified to compete in the final on 12 May. It was later revealed that Ireland placed sixth out of the 19 participating countries in the semi-final with 179 points. In the final, Ireland performed in position 24 and placed sixteenth out of the 26 participating countries, scoring 136 points.
Giant golden mole
The giant golden mole (Chrysospalax trevelyani) is a small mammal found in Africa. At 23 centimetres (9.1 in) in length, it is the largest of the golden mole species. This mole has dark, glossy brown fur; the name golden comes from the Greek word for green-gold, also the source of the name of the family, Chrysochloridae.

Amblysomus
Amblysomus (also narrow-headed golden mole or South African golden mole) is a  genus of the golden mole family, Chrysochloridae, comprising five species of the small, insect-eating, burrowing mammals endemic to Southern Africa. All five species can be found in South Africa and some are also found in Eswatini and Lesotho.
Fort Riley
Fort Riley is a United States Army installation located in North Central Kansas, on the Kansas River, also known as the Kaw, between Junction City and Manhattan. The Fort Riley Military Reservation covers 101,733 acres (41,170 ha) in Geary and Riley counties. The Fort consists of six functional areas, including the Main Post, Camp Funston, Marshall Army Airfield (MAAF), Camp Whitside, Camp Forsyth, and Custer Hill. The portion of the fort that contains housing development is part of the Fort Riley census-designated place, with a residential population of 9,230 as of the 2020 census. The ZIP Code is 66442.

Fort Lesley J. McNair
Fort Lesley J. McNair, also historically known as the Washington Arsenal, is a United States Army post located on the tip of Buzzard Point, the peninsula that lies at the confluence of the Potomac River and the Anacostia River in Washington, D.C. To the peninsula's west is the Washington Channel, while the Anacostia River is on its south side. The fort has been an army post for more than 200 years, third in length of service, after the United States Military Academy at West Point and the Carlisle Barracks. The fort is named for General Lesley James McNair, who was killed in action by friendly fire in Normandy, France during World War II.
Standard-bearer
A standard-bearer, also known as a colour-bearer or flag-bearer, is a person who bears an emblem known as a standard or military colours, i.e. either a type of flag or an inflexible but mobile image, which is used (and often honoured) as a formal, visual symbol of a state, prince, military unit, etc. This can either be an occasional duty, often seen as an honour (especially on parade), or a permanent charge (also on the battlefield); the second type has even led in certain cases to this task being reflected in official rank titles such as Chorąży, Ensign, Cornet, Fähnrich and Alferes/Alférez.

Kevington, London
Kevington, sometimes spelt Kevingtown, is a rural hamlet in South East London, England, within the London Borough of Bromley. It is located north east of Orpington and south west of Swanley and is adjacent to the Greater London border with Kent, in the Metropolitan green belt.
Turbocharger
In an internal combustion engine, a turbocharger (also known as a turbo or a turbosupercharger) is a forced induction device that compresses the intake air, forcing more air into the engine in order to produce more power for a given displacement.

Turbochargers are distinguished from superchargers in that a turbocharger is powered by the kinetic energy of the exhaust gases, whereas a supercharger is mechanically powered, usually by a belt from the engine's crankshaft. However, up until the mid-20th century, a turbocharger was called a "turbosupercharger" and was considered a type of supercharger.

Subaru EJ engine
The Subaru EJ engine is a series of four-stroke automotive engines manufactured by Subaru.  Introduced in 1989, they were intended to succeed the previous Subaru EA engine. The EJ series was the mainstay of Subaru's engine line, with all engines of this series being 16-valve horizontal flat-fours, with configurations available for single, or double-overhead camshaft arrangements (SOHC or DOHC). Naturally aspirated and turbocharged versions are available, ranging from 94 to 341 hp (70 to 254 kW; 95 to 346 PS). These engines are commonly used in light aircraft, kit cars and engine swaps into air-cooled Volkswagens, and are also popular as a swap into Volkswagen T3/Vanagons powered by the Volkswagen Wasserboxer engine. Primary engineering on the EJ series was done by Masayuki Kodama, Takemasa Yamada and Shuji Sawafuji of Fuji Heavy Industries, Subaru's parent company.
List of characters in the Breaking Bad franchise
Breaking Bad is a crime drama franchise created by American filmmaker Vince Gilligan. It started with the television series Breaking Bad (2008–13), and was followed by a prequel/sequel series, Better Call Saul (2015–22), and a sequel film, El Camino: A Breaking Bad Movie (2019). The following is an abridged list of characters appearing across the productions.

Drug lord
A drug lord, drug baron, kingpin, or lord of drugs is a type of crime boss in charge of a drug trafficking network, organization, or enterprise. When a group of independent drug lords collude with each other, in order to improve their profits and dominate the illegal drug trade, they form an organization called a drug cartel.
Blackstone Inc.
Blackstone Inc. is an American alternative investment management company based in New York City. It was founded in 1985 as a mergers and acquisitions firm by Peter Peterson and Stephen Schwarzman, who had previously worked together at Lehman Brothers. Blackstone's private equity business has been one of the largest investors in leveraged buyouts in the last three decades, while its real estate business has actively acquired commercial real estate across the globe. Blackstone is also active in credit, infrastructure, hedge funds, secondaries, growth equity, and insurance solutions. As of September 30, 2025, Blackstone has $1.2 trillion in total assets under management, making it the world's largest alternative investment firm.

Brookfield Asset Management
Brookfield Asset Management Ltd. is a Canadian-American alternative asset manager. The company was founded in December 2022 as a spin-off of the asset management operations of Brookfield Corporation, and manages investments across real estate, infrastructure, renewable energy, private equity, and credit markets globally.

At its inception, the company was headquartered in Toronto, and in December 2024 transferred its headquarters to New York City. Brookfield Asset Management is 73 per cent owned by Brookfield Corporation.

Brookfield Asset Management is run by chief executive Connor Teskey, who succeeded J. Bruce Flatt in February 2026. In late 2024, the company's managed assets reached the US$1 trillion mark, making it one of the world's largest investment firms.
Order of St Michael and St George
The Most Distinguished Order of Saint Michael and Saint George is a British order of chivalry founded on 28 April 1818 by George, Prince of Wales (the future King George IV), while he was acting as prince regent for his father, King George III. It is named in honour of two military saints, Michael and George.

The Order of St Michael and St George was originally awarded to those holding commands or high position in the Mediterranean territories acquired in the Napoleonic Wars, and it was subsequently extended to holders of similar office or position in other territories of the British Empire. It is at present awarded to men and women who hold high office or who render extraordinary or important non-military service to the United Kingdom in a foreign country, and it can also be conferred for important or loyal service in relation to foreign and Commonwealth affairs.

Bede Clifford
Captain Sir Bede Edmund Hugh Clifford GCMG CB MVO (3 July 1890 – 6 October 1969) was a British diplomat and colonial administrator, born in New Zealand, where his parents had moved in an unsuccessful attempt at sheep-farming.

His parents were William Hugh Clifford, 10th Baron Clifford of Chudleigh and Catherine Mary Bassett. After New Zealand they moved to Tasmania; he did not attend a regular school until he was 10.  He attended Xavier College, Melbourne where he was a gifted student. This was followed by study at Melbourne University, becoming a surveyor, then a merchant navy officer.
Executive producer
Executive producer (EP) is one of the top positions in the production of media such as films, television, music, radio, or video games. In films, the executive producer generally contributes to the film's budget and their involvement depends on the project, with some simply securing funds and others being involved in the filmmaking process. In general, the film producer is more involved in the hands-on production of the film. In television, executive producers are sometimes involved with the production in a hands-on capacity, but their roles are highly variable. In music, the executive producer is responsible for business decisions.  Depending on the medium, the executive producer may also be concerned with legal issues.

R. W. Goodwin
Robert W. Goodwin (born 1943), billed as R. W. Goodwin, is an Australian-born American television producer and director best known for his work as senior executive producer of The X-Files. He lives in Bellingham, Washington.

He also directed and produced the 2009 low-budget independent feature Alien Trespass.
1987
1987 (MCMLXXXVII) was a common year starting on Thursday of the Gregorian calendar, the 1987th year of the Common Era (CE) and Anno Domini (AD) designations, the 987th  year of the 2nd millennium, the 87th  year of the 20th century, and the  8th   year of the 1980s decade.

2008
2008 (MMVIII) was a leap year starting on Tuesday of the Gregorian calendar, the 2008th year of the Common Era (CE) and Anno Domini (AD) designations, the 8th  year of the 3rd millennium and the 21st century, and the  9th   year of the 2000s decade.

2008 is designated as:

International Year of Languages

International Year of Planet Earth

International Year of the Potato

International Year of Sanitation

The Great Recession, a worldwide recession which began in 2007, continued through the entirety of 2008.
Vasily Aksyonov
Vasily Pavlovich Aksyonov (Russian: Васи́лий Па́влович Аксёнов, IPA: [vɐˈsʲilʲɪj ˈpavləvʲɪtɕ ɐˈksʲɵnəf]; August 20, 1932 – July 6, 2009) was a Soviet and Russian novelist. He became known in the West as the author of The Burn (Ожог, Ozhog, from 1975) and of Generations of Winter (Московская сага, Moskovskaya Saga, from 1992), a family saga following three generations of the Gradov family between 1925 and 1953.

Andrei Voznesensky
Andrei Andreyevich Voznesensky (Russian: Андрей Андреевич Вознесенский, 12 May 1933 – 1 June 2010) was a Soviet and Russian poet and writer who had been referred to by Robert Lowell as "one of the greatest living poets in any language." He was one of the "Children of the '60s," a new wave of iconic Soviet intellectuals led by the Khrushchev Thaw.

Voznesensky was considered "one of the most daring writers of the Soviet era" but his style often led to regular criticism from his contemporaries and he was once threatened with expulsion by Nikita Khrushchev. He performed poetry readings in front of sold-out stadiums around the world, and was much admired for his skilled delivery. Some of his poetry was translated into English by W. H. Auden. Voznesensky's long-serving mentor and muse was Boris Pasternak, the Nobel Laureate and the author of Doctor Zhivago.

Before his death, he was both critically and popularly proclaimed "a living classic", and "an icon of Soviet intellectuals".
Intransitive verb
In grammar, an intransitive verb is a verb, aside from an auxiliary verb, whose context does not entail a transitive object. That lack of an object distinguishes intransitive verbs from transitive verbs, which entail one or more objects. Additionally, intransitive verbs are typically considered within a class apart from modal verbs and defective verbs.

Split ergativity
In linguistic typology, split ergativity is a feature of certain languages where some constructions use ergative syntax and morphology, but other constructions show another pattern, usually nominative–accusative. The conditions in which ergative constructions are used vary among different languages.
All-America
The All-America designation is an annual honor bestowed on outstanding athletes in the United States who are considered to be among the best athletes in their respective sports. Individuals receiving this distinction are typically added to an All-America team for their sport. Some sports have multiple All-America teams, and list the honorees as members of a first team, second team, or third team.

All-America teams are composed of outstanding U.S. amateur athletes. Individuals falling short of qualifying for the honor may receive All-America honorable mention. The designation is typically used at the collegiate level, although, beginning in 1957, high school athletes in football began being honored with All-American status, which then carried over to other sports like basketball and cross-country running. The selection criteria vary by sport. Athletes at the high school and college level placed on All-America teams are referred to as All-Americans.

Wisconsin Badgers track and field
The Wisconsin Badgers track and field team is the track and field program that represents University of Wisconsin–Madison. The Badgers compete in NCAA Division I as a member of the Big Ten Conference. The team is based in Madison, Wisconsin, at the Dan McClimon Memorial Track/Soccer Complex.

The program is coached by Mick Byrne. The track and field program officially encompasses four teams because the NCAA considers men's and women's indoor track and field and outdoor track and field as separate sports.

The Badgers have won one NCAA Division I team title in track and field, at the men's 2007 NCAA Division I Indoor Track and Field Championships. The women's team won the 1978 AIAW Indoor Track and Field Championships.
Comune
A comune (pronounced [koˈmuːne]; pl.: comuni, pronounced [koˈmuːni]) is an administrative division of Italy, roughly equivalent to a township or municipality. It is the third-level administrative division of Italy, after regions (regioni) and provinces (province). The comune can also have the title of città (lit. 'city').

Formed praeter legem according to the principles consolidated in medieval municipalities, the comune is provided for by article 114 of the Constitution of Italy. It can be divided into frazioni, which in turn may have limited power due to special elective assemblies.

In the autonomous region of the Aosta Valley, a comune is officially called a commune in French.

Campo nell'Elba
Campo nell'Elba is a comune (municipality) on the island of Elba, in the Province of Livorno in the Italian region of Tuscany, located about 140 kilometres (87 mi) southwest of Florence and about 90 kilometres (56 mi) south of Livorno.
PGA Tour Canada
PGA Tour Canada, commonly referred to as the Canadian Tour, was a men's professional golf tour headquartered in Toronto, Ontario. The United States–based PGA Tour took over operation of the tour on November 1, 2012, at which time it was renamed PGA Tour Canada. In 2015, Mackenzie Investments became the umbrella sponsor of the tour, branding it as the Mackenzie Tour-PGA Tour Canada.

PGA Tour Canada used to be one of three international PGA Tour-sanctioned tours, along with PGA Tour Latinoamérica and PGA Tour China (all now defunct). These tours provided access to the Korn Ferry Tour and are part of the path to the PGA Tour.

In April 2023, the PGA Tour announced that the 2023 PGA Tour Canada season would be the last, as from 2024 the tour would merge with PGA Tour Latinoamérica, creating PGA Tour Americas.

Sunshine Tour
The Sunshine Tour is a men's professional golf tour based in Southern and East Africa. For much of its early history it was known either as the Southern Africa Tour or Sunshine Circuit; through sponsorship deals, it has also been known as the FNB Tour and the Vodacom Tour. For the 2000–01 season the tour rebranded itself as the Sunshine Tour in an attempt to broaden its appeal. A large majority of the tour events are still staged in South Africa.