hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Pohlig–Hellman algorithm
In group theory, the Pohlig–Hellman algorithm, sometimes credited as the Silver–Pohlig–Hellman algorithm, is a special-purpose algorithm for computing discrete logarithms in a finite abelian group whose order is a smooth integer.

The algorithm was introduced by Roland Silver, but first published by Stephen Pohlig and Martin Hellman, who credit Silver with its earlier independent but unpublished discovery. Pohlig and Hellman also list Richard Schroeppel and H. Block as having found the same algorithm, later than Silver, but again without publishing it.

Lagrange's theorem (group theory)
In the mathematical field of group theory, Lagrange's theorem states that if H is a subgroup of any finite group G, then  is a divisor of .  That is, the order (number of elements) of every subgroup divides the order of the whole group.

The theorem is named after Joseph-Louis Lagrange. The following variant states that for a subgroup  of a finite group , not only is  an integer, but its value is the index , defined as the number of left cosets of  in .

This variant holds even if  is infinite, provided that , , and  are interpreted as cardinal numbers.
Cryptozoa
Cryptozoa is the collective name for small animals who live in darkness and under conditions of high relative humidity, as in the wet soil underneath rocks, decomposing tree bark etc. Examples include pseudoscorpions, slugs, centipedes and earwigs.  The habitat of the cryptozoa allows avoidance of fluctuations of temperature and humidity, which makes the contained range of considerably different species quite remarkable. Moreover, cryptozoa are notable for their inclusion of often unnamed varieties of organisms.

The term "cryptozoic fauna" was originally coined by Arthur Dendy.

Slug
Slug or land slug is a common name for any apparently shell-less terrestrial gastropod mollusc. The word slug is also often used as part of the common name of any gastropod mollusc that has no shell, a very reduced shell, or only a small internal shell, particularly sea slugs and semi-slugs (this is in contrast to the common name snail, which applies to gastropods that have a coiled shell large enough that they can fully retract their soft parts into it).

Various taxonomic families of land slugs form part of several quite different evolutionary lineages, which also include snails. Thus, the various families of slugs are not closely related, despite the superficial similarity in overall body form. The shell-less condition has arisen many times independently as an example of convergent evolution, and thus the category "slug" is polyphyletic.
Sailing at the 2000 Summer Olympics – Soling
The Soling Three Person Keelboat was sailed at the 2000 Summer Olympics held from 17 to 30 September 2000 in Sydney, Australia. The series started as a fleet race and then switched to match racing for the twelve best crew. 16 crews from 16 countries competed on 16 boats with a total of 48 sailors.

The Norwegian crew of Herman Horn Johannessen, Paul Davis and Espen Stokkeland finished first in the fleet racing stage, while Danish crew of Jesper Bank, Henrik Blakskjær and Thomas Jacobsen won the Olympic gold medal by beating the German crew of 1996 champion helmsman Jochen Schümann, Gunnar Bahr and Ingo Borkowski with 4–3 in the final series. Norway won the bronze medal through beating the Netherlands with 3–1 in matches.

Paul Davis (sailor)
Paul Davis (born 10 February 1958) is a Norwegian sailor and Olympic medalist.  He graduated from the University of Toronto Schools. He received a bronze medal in the Soling class at the 2000 Summer Olympics in Sydney, together with Herman Horn Johannessen and Espen Stokkeland.
Soling world Champion 2002 with Bill Abbott Jr. and Will Abbott,
Soling World champion 2009 with Bill Abbott and Joanne Abbott,
Soling World champion 2011 with Peter Hall and Phil Kerrigan,
Shark world Champion 2012 with Robert Davis and Brandon Tattersall,
He won the 2012 Soling world championship with Peter Hall and William Hall
N100 Plan
The N100 Plan was the corporate code name for the top secret concept, engineering, and development of an entirely new motorcycle engine by Kawasaki Motorcycle Corporation, a division of Kawasaki Heavy Industries in 1966.

Air-cooled engine
Air-cooled engines rely on the circulation of air directly over heat dissipation fins or hot areas of the engine to cool them in order to keep the engine within operating temperatures. Air-cooled designs are far simpler than their liquid-cooled counterparts, which require a separate radiator, coolant reservoir, piping and pumps.

Air-cooled engines are widely seen in applications where weight or simplicity is the primary goal. Their simplicity makes them suited for uses in small applications like chainsaws and lawn mowers, as well as small generators and similar roles. These qualities also make them highly suitable for aviation use, where they are widely used in general aviation aircraft and as auxiliary power units on larger aircraft. Their simplicity, in particular, also makes them common on motorcycles.
El Jume Formation
The El Jume Formation is an Early Cretaceous geologic formation in Argentina. Indeterminate fossil dinosaur tracks have been reported from the formation. The formation, belonging to the El Gigante Group, overlies the Los Riscos Formation and is overlain by the El Toscal Formation. The sandstones and claystones of the formation were deposited in a fluvial environment. Part of the formation was assigned to a new formation, Balde de Leyes Formation in 2015.

Depositional environment
In geology, depositional environment or sedimentary environment describes the combination of physical, chemical, and biological processes associated with the deposition of a particular type of sediment and, therefore, the rock types that will be formed after lithification, if the sediment is preserved in the rock record. In most cases, the environments associated with particular rock types or associations of rock types can be matched to existing analogues. However, the further back in geological time sediments were deposited, the more likely that direct modern analogues are not available (e.g. banded iron formations).
Yemane Haileselassie
Yemane Haileselassie (Tigrinya:  የማነ ኀይለ ሥላሴ; born 21 February 1998) is an Eritrean male steeplechase runner. He is the national record holder at 8:22.52 minutes and represented his country at the 2016 Rio Olympics.

He made his international debut at the 2015 IAAF World Cross Country Championships and placed 23rd in the junior race and shared in the team junior bronze medals. A senior debut followed at the 2015 African Games and he placed sixth at the 3000 metres steeplechase.

At the start of the 2016 outdoor season he ran an Eritrean national record of 8:22.52 minutes. He was the fastest entrant at the 2016 IAAF World U20 Championships but was unable to break the Kenyan streak, taking the silver medal behind Amos Kirui close to his personal best with 8:22.67 minutes.

He represented Eritrea at the 2016 Summer Olympics and placed eleventh in the final. He competed at the 2020 Summer Olympics and placed fifth.

2015 African Games
The 11th African Games (French: 11es Jeux africains), also known as Brazzaville 2015, took place from September 4–19, 2015 in Brazzaville, Republic of the Congo. This edition marked the 50th anniversary of the Games, as well as their return to Brazzaville, which hosted the first edition in 1965.
Damon Smith
Damon Smith (born October 17, 1972) is an American free improvising bassist. He has worked with Cecil Taylor, Peter Brötzmann, Marshall Allen, John Tchicai, Elliott Sharp, Chris Cutler, Fred Frith, Jim O'Rourke etc.

Jim O'Rourke (musician)
James O'Rourke (born January 18, 1969) is an American musician, instrumentalist, composer, singer-songwriter and record producer. He is best known for his numerous solo and collaborative music projects, many of which are instrumental, and has been acclaimed for his music that spans varied genres, including avant-garde styles such as ambient, noise and minimalism, and styles of rock like indie rock and post-rock. He has been associated with the Chicago experimental and improv scene, as well as with New York City when he relocated there in 2000 for his tenure as a member of American indie rock band Sonic Youth. He subsequently moved to Japan and has since been a Japanese resident.
Betacoronavirus 1
Betacoronavirus gravedinis  (also called Betacoronavirus 1) is a species of coronavirus which infects humans and cattle. The infecting virus is an enveloped, positive-sense, single-stranded RNA virus and is a member of the genus Betacoronavirus and subgenus Embecovirus. Like other embecoviruses, it has an additional shorter spike-like surface protein called hemagglutinin esterase (HE) as well as the larger coronavirus spike protein.

Viral envelope
A viral envelope is the outermost layer of many types of viruses. It protects the genetic material in their life cycle when traveling between host cells. Not all viruses have envelopes. A viral envelope protein or E protein is a protein in the envelope, which may be acquired by the capsid from an infected host cell.
Sacred Heart Parish, Ipswich
Sacred Heart Parish - designated for Polish immigrants in Ipswich, Massachusetts, United States.

Founded 1908. It was one of the Polish-American Roman Catholic parishes in New England in the Archdiocese of Boston.

The parish closed April 25, 1999. The building retains the original structure, but the inside has been converted into luxury apartments.

Archdiocese of Boston
The Archdiocese of Boston (Latin: Archidiœcesis Bostoniensis) is an archdiocese of the Catholic Church in eastern Massachusetts in the United States. Its mother church is the Cathedral of the Holy Cross in Boston.

The Diocese of Boston was erected in 1808, branching off from the Diocese of Baltimore. It grew rapidly during the 19th century; today it is the fourth largest archdiocese in the United States. Starting in 2002, the archdiocese faced a sexual abuse scandal which touched off investigations of Catholic Church sexual abuse cases throughout the United States. Richard G. Henning is the archbishop.
Danilo culture
Danilo culture (Croatian: Danilska kultura) was a Neolithic culture of the Dalmatian coast of Croatia and parts of Bosnia and Herzegovina, dating to 4700-3900 BC.

The major archaeological site of the culture is at Danilo polje, near today's Danilo, Croatia. The fertile oval valley between two karst ridges was cultivated for millennia due to its quality soil, whose clayey composition allows water to be retained in the lower layers.

The Danilo dig site consists of large numbers of pits and post holes whose associated material has been subdivided typologically into five phases.

There are two associated pottery styles, painted in black and broad red bands on buff ware, and incised on dark burnished ware, belong in the Middle Neolithic. The geometric designs suggest connections with contemporary wares in Italy, particularly Ripoli and Serra D'Alto. There was also a long blade and tanged point stone industry closely related to fishing.

Polje
A polje, also called karst polje or karst field, is a large flat plain found in karstic geological regions of the world, with areas usually in the range of 5–400 km2 (2–154 sq mi). The name derives from the Slavic languages, where polje literally means 'field', whereas in English polje specifically refers to a karst plain or karst field.
Douglas Stewart (film editor)
Douglas Stewart (March 29, 1919 – March 3, 1995) was a Hollywood-based Canadian film and television editor with about 16 feature film credits from 1953 – 1983. He won the Academy Award for Best Film Editing for the film, The Right Stuff (1983), along with co-editors Glenn Farr, Lisa Fruchtman, Stephen A. Rotter, and Tom Rolf. The Right Stuff was the fourth film of Stewart's notable collaboration with director Philip Kaufman, which began with The Great Northfield, Minnesota Raid (1972). Stewart's extensive television work was honored twice by nominations for Emmy awards.

The Great Northfield, Minnesota Raid
The Great Northfield, Minnesota Raid is a 1972 American Western film about the James-Younger Gang. Distributed by Universal Pictures, it was written and directed by Philip Kaufman in a cinéma vérité style and stars Cliff Robertson. The film purports to recreate the James-Younger Gang's most infamous escapade, the September 7, 1876 robbery of "the biggest bank west of the Mississippi", in Northfield, Minnesota.
Love After World Domination
Love After World Domination (Japanese: 恋は世界征服のあとで, Hepburn: Koi wa Sekai Seifuku no Ato de) is a Japanese manga series written by Hiroshi Noda and illustrated by Takahiro Wakamatsu. It was serialized in Kodansha's shōnen manga magazine Monthly Shōnen Magazine from October 2019 to November 2022, and has been collected in six tankōbon volumes. An anime television series adaptation produced by Project No.9 aired from April to June 2022.

Hiroki Yasumoto
Hiroki Yasumoto (安元 洋貴, Yasumoto Hiroki; born March 16, 1977) is a Japanese voice actor and narrator. He belongs to Sigma Seven. His representative works are Hozuki's Coolheadedness (Hozuki), Bleach (Yasutora Sado), Hetalia: Axis Powers (Germany), Super Soccer (narration), and Close-up Gendai (narration).
Galust Sahakyan
Galust Grigorii Sahakyan (Armenian:Գալուստ Գրիգորիի Սահակյան; 8 April 1949 – 18 December 2022) was an Armenian politician and statesman, who served as MP, and the  President of the National Assembly of Armenia.

President of the National Assembly of Armenia
The president of the National Assembly of Armenia (Armenian: Ազգային ժողովի նախագահ, romanized: Azgayin zhoghovi naxagah) is the speaker of the house in the Parliament of Armenia. The incumbent speaker is Alen Simonyan, since 2 August 2021.

Predecessors of the National Assembly of Armenia were the Parliament (August 1918 – December 1920), the Supreme Soviet of the Armenian Soviet Socialist Republic (1920–1990) and the Supreme Council of Armenia (1990–1995).
Limond
Limond is a Scottish surname. Notable people by that name include:

Brian Limond, known as "Limmy", (born 1974), Scottish comedian

David Limond (1831–1895), British soldier of the Royal Engineers (Bengal)

Willie Limond (1979–2024), Scottish boxer

Charles Limond, known as “Chas”, (born 1970), British soldier of the Royal Military Police, Detective of Strathclyde Police

Limmy
Brian Limond (born 20 October 1974), known as Limmy, is a Scottish comedian, author, and Twitch streamer.

While working as a website designer and Flash developer, Limmy began releasing comedy on his website and blog, Limmy.com, which contained various Flash-based projects. In late 2006, he released a daily podcast called Limmy's World of Glasgow, which received interest from the mainstream British media.

After continuing his comedy work for several years, Limmy was commissioned by BBC Scotland to create a sketch show, Limmy's Show. It ran for three series and a Christmas special between 2010 and 2013, and won two BAFTA Scotland awards. Limmy returned to BBC Scotland with another sketch comedy show, Limmy's Homemade Show, with a one-off episode in 2018 and a full series in 2020. Limmy has also engaged in various other pursuits, such as writing several books and performing live shows. He is a prolific user of online media platforms such as Twitter, YouTube, Twitch and formerly Vine.
Winton Castle
Winton Castle is a historic building set in a large estate between Pencaitland and Tranent in East Lothian, Scotland. The castle is situated off the B6355 road approximately 0.5 miles (0.80 km) north of Pencaitland at grid reference NT437694.

The castle is still a private residence, and is run as an exclusive-use events venue.

Tranent
Tranent /trəˈnɛnt/ is a town in East Lothian (formerly Haddingtonshire), in the south-east of Scotland. Tranent lies 6 mi (9.7 km) from the boundary of Edinburgh, and 9.1 mi (14.6 km) from the city centre. It lies south of the A1 road that runs through the parish splitting it from its associated villages and hamlets Meadowmill and the ports of Cockenzie and Port Seton. The original main post road ran straight through the town until the new A1 was built. Built on a gentle slope, about 90 metres (300 ft) above sea level it is one of the oldest towns in East Lothian. The population of the town is approximately 12,140, an increase of over 4,000 since 2001. Tranent was formerly a major mining town, but now serves as a commuter town for Edinburgh.
Shock probation
Shock probation is the US legal policy by which a judge orders a convicted offender to prison for a short time, and then suspends the remainder of the sentence in favor of probation. It is hoped that the initial experience of prison will provide an effective deterrent to recidivism.

In shock probation, a convicted offender is sentenced to prison and starts serving their sentence. After three to six months, the judge re-sentences the prisoner to probation, and the prisoner is released under supervision. Shock probation is usually considered when a prisoner is a first-time offender and a judge believes, given the circumstances of the case, that the prisoner has a chance at reform which may be enhanced by being released.

Shock probation is not used in all U.S. states.  In states where it is used, shock probation is at the discretion of the judge.

Recidivism
Recidivism (/rɪˈsɪdɪvɪzəm/; from Latin: recidivus 'recurring', derived from re- 'again' and cadere 'to fall') is the act of a person repeating an undesirable behavior after they have experienced negative consequences of that behavior, or have been trained to extinguish it. Recidivism is also used to refer to the percentage of former prisoners who are rearrested for a similar offense.

The term is frequently used in conjunction with criminal behavior and substance abuse. Recidivism is a synonym of relapse, which is more commonly used in medicine and in the disease model of addiction.
Teisterbant
Teisterbant was a pagus (province) of Lotharingia/Middle Francia. It was located in the present-day Netherlands, bordered by the rivers Lek and Waal.: 277  Modern-day West-Betuwe (the southern part of the province of Gelderland) shares most of the same land including towns such as Batenburg, Vianen, Tiel, Culemborg, Geldermalsen. The historic fiefdoms of Altena, Arkel, Buren, Heusden and Vianen were also part of it.

Land van Arkel
The Land van Arkel was a fief of the  Counts of Holland, and was managed by the Lords of Arkel until 1412. The territory was bordered by the river Merwede on the south, and the river Linge on the east. The northern border might have reached as far as Everdingen,  and the western border to the river Lek. Present-day towns in the territory include Leerdam, Arkel, Heukelum, Asperen, Hagestein, Haastrecht and Gorinchem.
Coline (Peru)
Coline (possibly from Aymara q'uli stripes of different colors on the shirt or undershirt which the Andean people wear, -ni a suffix to indicate ownership, "the one with stripes") is a mountain in the Andes of Peru, about 5,140 metres (16,864 ft) high. It is situated in the Puno Region, El Collao Province, Santa Rosa District, and in the Puno Province, Acora District. It lies northeast of the mountain Arichua.

Department of Puno
Puno (Spanish pronunciation: [ˈpuno]; Aymara and Quechua: Punu) is a department of Peru. Located in the country's southeast, it is the fifth largest department in Peru, after Cuzco, Madre de Dios, Ucayali, and Loreto. It is bordered by Bolivia to the east, the departments of Madre de Dios to the north, Cusco and Arequipa to the west, Moquegua to the southwest, and Tacna to the south. It is administered by a regional government. Its capital is the city of Puno, which is located on Lake Titicaca in the geographical region known as the Altiplano or high sierra.
Lystad Bay
Lystad Bay (67°50′S 67°17′W﻿ / ﻿67.833°S 67.283°W﻿ / -67.833; -67.283) is a bay 2.5 nautical miles (5 km) wide which indents the west side of Horseshoe Island, in the northeast part of Marguerite Bay, Antarctica. It was first surveyed in 1936–37 by the British Graham Land Expedition under John Rymill, and was visited by the USMS North Star and USS Bear of the United States Antarctic Service in 1940. The name was proposed by the Advisory Committee on Antarctic Names for Captain Isak Lystad of the North Star.

United States Antarctic Program
The United States Antarctic Program (or USAP; formerly known as the United States Antarctic Research Program or USARP and the United States Antarctic Service or USAS) is an organization of the United States government which has a presence in the Antarctica continent. Founded in 1959, the USAP manages all U.S. scientific research and related logistics in Antarctica as well as aboard ships in the Southern Ocean.
Quincy Adams Sawyer
Quincy Adams Sawyer is a 1922 American silent drama film directed by Clarence G. Badger and starring Lon Chaney, John Bowers, Barbara La Marr, and Blanche Sweet. Distributed by Metro Pictures, the film was written by Bernard McConville, based on the 1900 novel Quincy Adams Sawyer and Mason's Corner Folks, written by Charles Felton Pidgin. The novel had been previously adapted to film in 1912. The novel had sold over 1.5 million copies at the time, and had had a successful run as a play (written by Justin Adams). Pidgin went on in later years to write two sequels to his novel due to its immense popularity.

The film was re-released in 1927 by Metro-Goldwyn-Mayer, after Barbara La Marr's death.

John Bowers (actor)
John Bowers (born John E. Bowersox; December 25, 1885 – November 17, 1936) was an American stage and silent film actor who starred in 94 films including several short subjects. He has been identified as being an inspiration for the character Norman Maine in A Star Is Born (1937).
Tom Farrage (designer)
Tom Farrage (born July 17, 1958, in Blythe, California)
is a metal fabricator, craftsman and art collector who frequently collaborates with architects, artists, inventors, engineers, and filmmakers. Educated at the Southern California Institute of Architecture(1987), he works in steel, stainless steel, bronze, copper, aluminum; mixed media wood, plastic and glass. He has a long association with what has been called the “L.A. Avant Garde” award-winning architects Thom Mayne, Eric Owen Moss, Michael Rotondi, Craig Hodgetts, Frank Israel (b. 1945, d. 1996) and Frank Gehry. He is the owner of Farrage & Company, co-owner of Nakao::Farrage Architects in Culver City, California, and is also the trustee of the Nathan H. Shapira Archives, in Southern California.

Blythe, California
Blythe (/blaɪθ/) is a city in eastern Riverside County, California, United States. It is in the Palo Verde Valley of the Lower Colorado River Valley region, an agricultural area and part of the Colorado Desert along the Colorado River, approximately 224 miles (360 km) east of Los Angeles and 150 miles (240 km) west of Phoenix. Blythe was named after Thomas Henry Blythe, a San Francisco financier, who established primary water rights to the Colorado River in the region in 1877. The city was incorporated on July 21, 1916. The population was 18,317 at the 2020 census.