hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Order (group theory)
In mathematics, the order of a finite group is the number of its elements. If a group is not finite, one says that its order is infinite. The order of an element of a group (also called period length or period) is the order of the subgroup generated by the element. If the group operation is denoted as a multiplication, the order of an element a of a group, is thus the smallest positive integer m such that am = e, where e denotes the identity element of the group, and am denotes the product of m copies of a. If no such m exists, the order of a is infinite.

The order of a group G is denoted by ord(G) or |G|, and the order of an element a is denoted by ord(a) or |a|, instead of  where the brackets denote the generated group.

Lagrange's theorem states that for any subgroup H of a finite group G, the order of the subgroup divides the order of the group; that is, |H| is a divisor of |G|. In particular, the order |a| of any element is a divisor of |G|.

Automorphism group
In mathematics, the automorphism group of an object X is the group consisting of automorphisms of X under composition of morphisms.  For example, if X is a finite-dimensional vector space, then the automorphism group of X is the group of invertible linear transformations from X to itself (the general linear group of X).  If instead X is a group, then its automorphism group  is the group consisting of all group automorphisms of X.

Especially in geometric contexts, an automorphism group is also called a symmetry group. A subgroup of an automorphism group is sometimes called a transformation group.

Automorphism groups are studied in a general way in the field of category theory.
Aromatic L-amino acid decarboxylase
Aromatic L-amino acid decarboxylase (AADC or AAAD), also known as DOPA decarboxylase (DDC), tryptophan decarboxylase, and 5-hydroxytryptophan decarboxylase, is a lyase enzyme (EC 4.1.1.28), located in region 7p12.2-p12.1.

Tyrosine hydroxylase
Tyrosine hydroxylase or tyrosine 3-monooxygenase is the enzyme responsible for catalyzing the conversion of the amino acid L-tyrosine to L-3,4-dihydroxyphenylalanine (L-DOPA). It does so using molecular oxygen (O2), as well as iron (Fe2+) and tetrahydrobiopterin as cofactors. L-DOPA is a precursor for dopamine, which, in turn, is a precursor for the important neurotransmitters norepinephrine (noradrenaline) and epinephrine (adrenaline). Tyrosine hydroxylase catalyzes the rate limiting step in this synthesis of catecholamines. In humans, tyrosine hydroxylase is encoded by the TH gene, and the enzyme is present in the central nervous system (CNS), peripheral sympathetic neurons and the adrenal medulla. Tyrosine hydroxylase, phenylalanine hydroxylase and tryptophan hydroxylase together make up the family of aromatic amino acid hydroxylases (AAAHs).
Colorado Senate
The Colorado State Senate is the upper house of the Colorado General Assembly, the state legislature of the US state of Colorado. It is composed of 35 members elected from single-member districts, with each district having a population of about 123,000 as of the 2000 census. Senators are elected to four-year terms, and are limited to two consecutive terms in office. Senators who are term-limited become eligible to run again after a one-term (four year) respite.

The Colorado Senate convenes at the State Capitol in Denver.

Colorado Democratic Party
The Colorado Democratic Party is the affiliate of the Democratic Party in the U.S. state of Colorado. Shad Murib serves as its chair.

The governing body of the party is the State Central Committee, which consists of the chair and vice chair of the county Democratic Party in each of Colorado's 64 counties and "bonus" members for larger counties. In each odd-numbered year, county parties elect officers in February followed by the state party which elects its officers in March.

The party once held weak power in the state, but growing support increased its popularity. Currently, It is the dominant party in the state, controlling both of the state's U.S. Senate seats and all statewide executive offices, including the governorship. The Democrats also have a supermajority in the Colorado House of Representatives, and hold half of its U.S. House districts.
Barysaw
Barysaw or Borisov (Belarusian: Барысаў, romanized: Barysaŭ, IPA: [baˈrɨsaw]; Russian: Борисов, IPA: [bɐˈrʲisəf]) is a city in Minsk Region, in central Belarus. It serves as the administrative center of Barysaw District. It is located on the Berezina River and 74 kilometres (46 mi) north-east from the capital Minsk. As of 2025, it has a population of 134,732.

Vileyka
Vileyka or Vilyeyka is a town in Minsk Region, Belarus. It serves as the administrative center of Vileyka District. It is located on the Viliya River, 100 kilometres (62 mi) northwest of Minsk. The first historical record dates from 16 November 1460. As of 2025, the town has a population of 26,375.

The Vileyka VLF transmitter operated by the Russian Navy is located near Vileyka. It provides VLF communication between Russian Navy's headquarters and atomic submarines in the Atlantic, Indian and parts of the Pacific Ocean.
Colorado Foxes
The Colorado Foxes were a professional men's soccer club originally based in Commerce City, Colorado, that played in the American Professional Soccer League (APSL) and USL A-League. Founded in 1990, the club moved to San Diego, California in 1998 and became the San Diego Flash, and later San Diego F.C., before folding in 2001. The club won the 1992 Professional Cup, and back-to-back APSL titles in 1992 and 1993.

San Francisco Bay Blackhawks
San Francisco Bay Blackhawks were a professional soccer team which came into existence in 1989 as a team in the Western Soccer League (WSL).  The Blackhawks spent time in the American Professional Soccer League (APSL) and the United States Interregional Soccer League (USISL).  In 1993, the team competed in USISL as the San Jose Hawks, but left organized competition at the end of the season.
Benton County, Washington
Benton County is a county in the south-central portion of the U.S. state of Washington. As of the 2020 census, its population was 206,873. The county seat is Prosser, and its most populous city is Kennewick. The Columbia River demarcates the county's north, south, and east boundaries.

Benton County was created from what were then larger versions of Klickitat County and Yakima County on March 8, 1905, and was named after Missouri statesman Thomas Hart Benton.

Douglas County, Washington
Douglas County is a county located in the U.S. state of Washington. As of the 2020 census, its population was 42,938. The county seat is Waterville, while its largest settlement is East Wenatchee. The county was created out of Lincoln County on November 28, 1883 and is named for American statesman Stephen A. Douglas.

Douglas County is part of the Wenatchee, WA Metropolitan Statistical Area.
London Athletics Meet
The London Athletics Meet, formerly known as the London Grand Prix and subsequently as the Anniversary Games and London Diamond League, is an annual athletics event held in London, England. Previously one of the five IAAF Super Grand Prix events, it is now part of the Diamond League. From 1997 through 2005 the meetings were known as the British Grand Prix, before that name reverted to the meetings usually held in Gateshead and Birmingham.

As the London Grand Prix, until 2012 most editions were held at the National Sports Centre in Crystal Palace. The 2013 edition was renamed the Anniversary Games as it took place at the Stadium in Queen Elizabeth Olympic Park, exactly one year after the Olympic Games were held in the same venue. It was followed by an IPC London Grand Prix, making it a three-day event. In 2014 the meet was held in Glasgow, Scotland, as preparation for the Commonwealth Games held there later that month.

2021 Diamond League
The 2021 Diamond League, also known as the 2021 Wanda Diamond League for sponsorship reasons, was the twelfth season of the annual series of outdoor track and field meetings, organised by World Athletics. The 2021 season sees an increase back to 32 Diamond Disciplines from the 24 originally planned for the 2020 Diamond League. The final used a new format which took place over two days on 8–9 September in one final meet, the Weltklasse Zürich, as had been planned to be introduced in 2020 but was cancelled due to the COVID-19 pandemic.

A new award will be introduced for the "Best Performing Athletes" which will recognize ten athletes (five men and five women) for consistent top placements. US$50,000 will be awarded to one man and one woman in each of the sprints, hurdles, distance runnings, jumps, and throws.
Maryland Bays
The Maryland Bays were an inaugural franchise of the third incarnation of the American Soccer League in 1988. They were based in Catonsville, Maryland, and played their games at the University of Maryland-Baltimore County. The team joined the American Professional Soccer League in 1990 when the ASL merged with the Western Soccer League. After the 1990 season, the club absorbed the Washington Stars, and moved to play in Columbia, Maryland.

For the first Maryland-based team called the Bays in 1967, see Baltimore Bays of the NPSL/NASL. For the second team to use the name in the ASL, see Baltimore Bays (ASL). For the fourth team to use the name in the USISL, see Baltimore Bays (USISL).

American Soccer League (1988–1989)
The American Soccer League was a professional soccer league in the United States. The league was founded in 1988 as an East Coast counterpart to the West Coast-based Western Soccer Alliance. The American Soccer League lasted only two seasons, merging with the WSA in 1990 to form the American Professional Soccer League. The ASL is unrelated to either of the previous leagues which were also named "American Soccer League".
Israel men's national basketball team
The Israel men's national basketball team (Hebrew: נבחרת ישראל בכדורסל) represents Israel in international basketball tournaments. They are administered by the Israeli Basketball Association. Israel is currently ranked 32nd in the FIBA World Ranking.

Israel has qualified for the EuroBasket 31 times throughout their history. They have also made two appearances at the World Cup, and one at the Summer Olympics. Israel also participated at the Asian Games from 1966 to 1974. The most success Israel has had on the international stage to date, is finishing as the runners-up at EuroBasket 1979, as well as winning two gold medals (1966, 1974), and one silver medal (1970) at the Asian Games.

North Macedonia men's national basketball team
The North Macedonia men's national basketball team (Macedonian: Кошаркарска репрезентација на Северна Македонија, romanized: Košarkarska reprezentacija na Severna Makedonija) represents North Macedonia in international basketball and is controlled by the Basketball Federation of North Macedonia. They joined FIBA in 1993, after they gained independence from Yugoslavia. That same year the national team played their first official match against Estonia. Prior to 1993, Macedonian players took part on the Yugoslavia national team.

Macedonia debuted in their first international tournament at the EuroBasket in 1999. They have appeared five times at the event overall, with their top performance coming in 2011, finishing in fourth place.
Matt Carle
Matthew Carle (born September 25, 1984) is an American former professional ice hockey defenseman. Carle played in the National Hockey League (NHL) with the San Jose Sharks, Tampa Bay Lightning, Philadelphia Flyers and Nashville Predators. He was originally drafted by the San Jose Sharks in the second round, 47th overall, in 2003.

Prior to turning professional, Carle played for the University of Denver where he was named NCAA Defenseman of the Year, NCAA All-American Team (West), First All-WCHA Team, USCHO First Team All American, and First Team All American. During the 2005–06 season, he also received the Hobey Baker Award as the top National Collegiate Athletic Association men's ice hockey player.

Ty Wishart
Ty Wishart (born May 19, 1988) is a Canadian professional ice hockey defenceman. He is currently playing with the Melbourne Mustangs in the AIHL.

Wishart grew up in Comox, British Columbia, playing minor hockey there until his midget years.
M
M, or m, is the thirteenth letter of the Latin alphabet, used in the modern English alphabet, the alphabets of several western European languages and others worldwide. Its name in English is em (pronounced /ˈɛm/ ⓘ), plural ems.

X
X, or x, is the twenty-fourth letter of the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is ex (pronounced /ˈɛks/ ⓘ), plural exes.
Cali
Santiago de Cali (Spanish pronunciation: [sanˈtjaɣo ðe ˈkali]), or Cali, is the capital of the Valle del Cauca department, and the most populous city in southwest Colombia, with an estimated 2,280,522 residents in 2023. The city spans 560.3 km2 (216.3 sq mi) with 120.9 km2 (46.7 sq mi) of urban area, making Cali the second-largest city in the country by area and the third most populous. Cali is the main urban and economic center in the south of the country, and has one of Colombia's fastest-growing economies. The city was founded on 25 July 1536 by the Spanish explorer Sebastián de Belalcázar.

As a sporting center for Colombia, it was the host city for the 1971 Pan American Games. Cali also hosted the 1992 World Wrestling Championships, the 2013 edition of the World Games, the UCI Track Cycling World Championships in 2014, the World Youth Championships in Athletics in 2015 as well as the inaugural Junior Pan American Games in 2021 and the 2022 World Athletics U20 Championships.

Neiva, Huila
Neiva (Spanish pronunciation: [ˈnejβa]) is the capital and most populated city of the Department of Huila, south central Colombia.  It is located in the valley of the Magdalena River with a municipal population of 392,009 as on 2026. It is one of the most important cities in southern Colombia, mainly because of its strategic geographical location.
Elixir (character)
Elixir (Joshua "Josh" Foley) is a  character appearing in American comic books published by Marvel Comics, primarily in association with the X-Men. Elixir has the mutant ability of biokinesis, able to manipulate biological matter in a number of ways.

Formerly a member of the Reavers, an anti-mutant criminal group, Elixir later reforms and joins the Xavier Institute after learning that he is a mutant himself. He joins the New X-Men and later joins X-Force.

During the Krakoan Age, Elixir joins the Five, using his healing abilities in combination with other mutants to resurrect the dead.

Proteus (Marvel Comics)
Kevin MacTaggert, also known as Proteus and Mutant X, is a character appearing in American comic books published by Marvel Comics and is commonly associated with the X-Men as an antagonist.

Kevin is the mutant son of Scottish genetic researcher Moira MacTaggert and politician Joseph MacTaggert. He possesses reality-warping and possession powers and lived most of his life in forced seclusion at his mother Moira's research facility on Muir Island.

Kevin's attempt to escape Muir Island and find his father, Joseph made up a 1979–80 Uncanny X-Men storyline that was adapted in X-Men: The Animated Series. In 2009, Proteus was ranked as IGN's 77th-greatest villain of all time.
Chikmagalur district
Chikmagalur district, officially Chikkamagaluru district (IPA: [t͡ʃikːɐmɐɡɐɭuːru]) is an administrative district in the Malnad subregion of Karnataka, India. It was called Kadur (Cuddoor) district till 1947. Coffee was first cultivated in India in Chikmagalur. The hills of Chikmagalur are parts of the Western Ghats and the source of Tunga and Bhadra rivers. Mullayanagiri, the highest peak in Karnataka is located in the district. The area is well known for the Sringeri Mutt that houses the Dakshina Peeta established by Adi Shankaracharya.

Shimoga district
Shimoga district, officially known as Shivamogga district, is a district in the Karnataka state of India. A major part of Shimoga district lies in the Malnad region or the Sahyadri. Shimoga city is its administrative centre. As of 2011 Shimoga district has a population of 17,52,753. There are seven taluks: Soraba, Sagara, Hosanagar, Shimoga, Shikaripura, Thirthahalli, and Bhadravathi. Channagiri and Honnali were part of Shimoga district until 1997 when they became part of the newly formed Davanagere district.
Salford RLFC
Salford RLFC is a semi-professional rugby league club in Salford, England, who play home games at the CorpAcq Stadium in Barton upon Irwell. They are the phoenix club of the original Salford Red Devils who were liquidated in 2025.

They have won the League Championship six times and Challenge Cup once. The club's traditional home colours are red, white and blue.

They have rivalries with Swinton Lions, Leigh Leopards, Oldham and Rochdale Hornets.

Whitehaven R.L.F.C.
Whitehaven R.L.F.C. is a professional rugby league club, from Whitehaven, Cumbria. They currently play in League One following relegation from the Championship in 2024. They currently play their games at the Recreation Ground (known locally as the Recre).

Their nicknames are 'Haven' or the 'Marras' (a local dialect word for 'mates'). Their mascot is a lion called "Pride". Between 1997 and 2003 they were known as Whitehaven Warriors.

Their local rivals are Workington Town.
Pope Victor II
Pope Victor II (c. 1018 – 28 July 1057), born Gebhard von Dollnstein-Hirschberg, was the head of the Catholic Church and ruler of the Papal States from 13 April 1055 until his death in 1057. Victor II was one of a series of German-born popes who led the Gregorian Reform.

Pope Victor III
Pope Victor III (c. 1026 – 16 September 1087), born Dauferio Epifani Del Zotto, was the head of the Catholic Church and ruler of the Papal States from 24 May 1086 to his death. He was the successor of Pope Gregory VII. Prior to becoming pope he had held the important post of abbot of the great monastery of Montecassino, under his monastic name of Desiderius and during those years played a historically important role.

He is the most recent lawfully elected pope to have taken the pontifical name "Victor".

In contrast with his early public life, as Pope Victor, as he had become, he made a less significant contribution. His failing health was the chief factor that made him so reluctant to accept election as pope and that  his health was in fact seriously impaired was clear when he fell ill during the ceremony of his coronation as pope.
The Barber of Seville
The Barber of Seville, or The Useless Precaution (Italian: Il barbiere di Siviglia, ossia L'inutile precauzione [il barˈbjɛːre di siˈviʎʎa osˈsiːa liˈnuːtile prekautˈtsjoːne]) is an opera buffa (comic opera) in two acts composed by Gioachino Rossini with an Italian libretto by Cesare Sterbini. The libretto was based on Pierre Beaumarchais's French comedy The Barber of Seville (1775). The premiere of Rossini's opera (under the title Almaviva, o sia L'inutile precauzione) took place on 20 February 1816 at the Teatro Argentina, Rome, with designs by Angelo Toselli.

Rossini's Barber of Seville is considered to be one of the greatest masterpieces of comedy within music, and has been described as the opera buffa of all "opere buffe". After two centuries, it remains a popular work.

Mignon
Mignon (French pronunciation: [miɲɔ̃] ⓘ) is an 1866 opéra comique (or opera in its second version) in three acts by Ambroise Thomas. The original French libretto was by Jules Barbier and Michel Carré, based on Goethe's 1795-96 novel Wilhelm Meisters Lehrjahre. The Italian version was translated by Giuseppe Zaffira. The opera is mentioned in James Joyce's "The Dead" (in Dubliners) and Willa Cather's The Professor's House.  Thomas's goddaughter Mignon Nevada was named after the main character. The aria “I am Titania” was used repeatedly in the British feature film The Life and Death of Colonel Blimp.
Pat Fenlon
Patrick Fenlon (born 15 March 1969) is an Irish football coach and former player.

Fenlon played as a midfielder for St Patrick's Athletic, Bohemians, Linfield, Shamrock Rovers and Shelbourne. As a manager he won five League of Ireland titles with Shelbourne and Bohemians between 2003 and 2009. During his time with Bohemians Fenlon also won the FAI Cup in 2008, the League of Ireland Cup in 2009 and the Setanta Sports Cup in 2010. Fenlon moved to Scottish club Hibernian in November 2011, who he helped reach two Scottish Cup Finals, although both were lost heavily.

James McPake
James McPake (born 24 June 1984) is a professional football coach and former player, who was most recently the manager of Dunfermline Athletic. McPake played for Livingston, Greenock Morton, Coventry City, Hibernian and Dundee. He mainly played as a defender, although he started his career as a forward. McPake played once for Northern Ireland, in 2012.

McPake retired from playing football in January 2018, and then started his coaching career in the Dundee youth system. He was appointed as the senior team manager in May 2019, and held this position until February 2022. He was appointed Dunfermline Athletic manager in May 2022 and was dismissed in December 2024, having won the Scottish League One title in 2023.
Dehydroepiandrosterone
Dehydroepiandrosterone (DHEA), also known as androstenolone, is an endogenous steroid hormone precursor. It is one of the most abundant circulating steroids in humans. DHEA is produced in the adrenal glands, the gonads, and the brain. It functions as a metabolic intermediate in the biosynthesis of the androgen and estrogen sex steroids both in the gonads and in various other tissues. However, DHEA also has a variety of potential biological effects in its own right, binding to an array of nuclear and cell surface receptors, and acting as a neurosteroid and modulator of neurotrophic factor receptors.

In the United States, DHEA is sold as an over-the-counter supplement, and medication called prasterone.

Pregnenolone sulfate
Pregnenolone sulfate (PS, PREGS) is an endogenous excitatory neurosteroid that is synthesized from pregnenolone. It is known to have cognitive and memory-enhancing, antidepressant, anxiogenic, and proconvulsant effects.
Greater roadrunner
The greater roadrunner (Geococcyx californianus) is a long-legged bird in the cuckoo family, Cuculidae, from the Aridoamerica region in the Southwestern United States and Mexico. The scientific name means "Californian earth-cuckoo". Along with the lesser roadrunner, it is one of two species in the genus Geococcyx. This roadrunner is also known as the chaparral cock, ground cuckoo, and snake killer.

Gila monster
The Gila monster (Heloderma suspectum, /ˈhiːlə/ HEE-lə) is a species of venomous lizard native to the Southwestern United States and the northwestern Mexican state of Sonora. It is a heavy, slow-moving reptile, up to 22 in (56 cm) long, and it is the only venomous lizard native to the United States. Its venomous close relatives, the four beaded lizards (all former subspecies of Heloderma horridum) inhabit Mexico and Guatemala. The Gila monster is sluggish in nature, so it is not generally dangerous and very rarely poses a real threat to humans. Nonetheless, it has a fearsome reputation and is sometimes killed despite the species being protected by state law in Arizona.
Junior ice hockey
Junior ice hockey is an amateur ice hockey level for 16 to 21-year-old players. National Junior teams compete annually for the IIHF World Junior Championship. The United States men's national junior ice hockey team are the defending champions from the 2025 World Junior Ice Hockey Championships.

Northern Ontario Hockey Association
The Northern Ontario Hockey Association (NOHA) is an ice hockey governing body for minor, junior and senior ice hockey.  The NOHA is sanctioned by the Ontario Hockey Federation and Hockey Canada.  The major league run by the NOHA is the Northern Ontario Junior Hockey League of the Canadian Junior A Hockey League.