hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Tate–Shafarevich group
In arithmetic geometry, the  Tate–Shafarevich group Ш(A/K) of an abelian variety A (or more generally a group scheme) defined over a number field K consists of the elements of the Weil–Châtelet group , where  is the absolute Galois group of K, that become trivial in all of the completions of K (i.e., the real and complex completions as well as the p-adic fields obtained from K by completing with respect to all its Archimedean and non Archimedean valuations v). Thus, in terms of Galois cohomology, Ш(A/K) can be defined as

This group was introduced by Serge Lang and John Tate and Igor Shafarevich. Cassels introduced the notation Ш(A/K), where Ш is the Cyrillic letter "Sha", for Shafarevich, replacing the older notation TS or TŠ.

Weil–Châtelet group
In arithmetic geometry, the Weil–Châtelet group or WC-group of an algebraic group such as an abelian variety A defined over a field K is the abelian group of principal homogeneous spaces for A, defined over K. John Tate (1958) named it for François Châtelet (1946) who introduced it for elliptic curves, and André Weil (1955), who introduced it for more  general groups. It plays a basic role in the arithmetic of abelian varieties, in particular for elliptic curves, because of its connection with infinite descent.

It can be defined directly from Galois cohomology, as , where  is the absolute Galois group of K. It is of particular interest for local fields and global fields, such as algebraic number fields. For K a finite field, Friedrich Karl Schmidt (1931) proved that the Weil–Châtelet group is trivial for elliptic curves, and Serge Lang (1956) proved that it is trivial for any connected algebraic group.
Stari Tabor
Stari Tabor (pronounced [ˈstaːɾi ˈtaːbɔɾ]; German: Alttabor, Gottscheerish: Autrtawr or Aotrtawr) is a remote abandoned settlement in the Municipality of Semič in southern Slovenia. The area is part of the traditional region of Lower Carniola and is now included in the Southeast Slovenia Statistical Region. Its territory is now part of the village of Brezovica pri Črmošnjicah.

Brezovica pri Črmošnjicah
Brezovica pri Črmošnjicah (pronounced [ˈbɾéːzɔʋitsa pɾi tʃəɾmɔˈʃnjìːtsax, -njíː-]; formerly Brezje; German: Wrezen, Wretzen, Gottschee German: Brezə) is a small settlement in the Municipality of Semič in Slovenia. The area is part of the historical region of Lower Carniola. The municipality is now included in the Southeast Slovenia Statistical Region.
Troy, New Hampshire
Troy is a town in Cheshire County, New Hampshire, United States. The population was 2,130 at the 2020 census. It is situated in southwestern New Hampshire, west of Mount Monadnock.

The town's central village, where 1,108 people resided at the 2020 census, is defined as the Troy census-designated place (CDP), and is located along New Hampshire Route 12. The center of the CDP is listed on the National Register of Historic Places as the Troy Village Historic District.

Jaffrey, New Hampshire
Jaffrey is a town in Cheshire County, New Hampshire, United States. The population was 5,320 at the 2020 census.

The main village in town, where 3,058 people resided at the 2020 census, is defined as the Jaffrey census-designated place (CDP) and is located along the Contoocook River at the junction of U.S. Route 202 and New Hampshire routes 124 and 137.
Virginia State Route 200
State Route 200 (SR 200) is a primary state highway in the U.S. state of Virginia. The state highway runs 19.23 miles (30.95 km) from SR 3 in White Stone north to U.S. Route 360 (US 360) at Burgess. SR 200 is the main north–south highway of the eastern end of the Northern Neck. The state highway connects the Lancaster County towns of White Stone, Irvington, and Kilmarnock, where the highway intersects SR 3 again, with eastern Northumberland County.

Virginia State Route 3
Virginia State Route 3 is a primary state highway in the U.S. state of Virginia that extends from the town of Culpeper south and eastwardly to Gloucester in Virginia's Middle Peninsula region. For many years, a portion was named "Historyland Highway".
Rajeswari Sainath
Rajeswari Sainath is an Indian Bharatanatyam dancer and choreographer based in Hyderabad, India. She is known for her performances and choreography, often collaborating with her daughter, Vyshnavie Sainath. Sainath has been recognized for her contributions to Indian classical dance, receiving the Kalaimamani award from the Tamil Nadu government in 2018.

Kalaimamani
The Kalaimamani (lit. 'Jewel of Arts') is the highest civilian award in the state of Tamil Nadu, India. These awards are given by the Tamil Nadu Iyal Isai Nataka Mandram (literature, music and theatre), a unit of the Directorate of Art and Culture, Government of Tamil Nadu, to recognise artists in the state for their achievements.

The Tamil Nadu government has appointed dancer Chitra Visweswaran as the secretary of Tamil Nadu Iyal Isai Nataka Manram. Film music director Deva is its chairman.
Clarkson's inequalities
In mathematics, Clarkson's inequalities, named after James A. Clarkson, are results in the theory of Lp spaces.  They give bounds for the Lp-norms of the sum and difference of two measurable functions in Lp in terms of the Lp-norms of those functions individually.

Lp space
In mathematics, the Lp spaces are function spaces defined using a natural generalization of the p-norm for finite-dimensional vector spaces. They are sometimes called Lebesgue spaces, named after Henri Lebesgue (Dunford & Schwartz 1958, III.3), although according to the Bourbaki group (Bourbaki 1987) they were first introduced by Frigyes Riesz (Riesz 1910).

Lp spaces form an important class of Banach spaces in functional analysis, and of topological vector spaces. Because of their key role in the mathematical analysis of measure and probability spaces, Lebesgue spaces are used also in the theoretical discussion of problems in physics, statistics, economics, finance, engineering, and other disciplines.
Yousei Teikoku
Yousei Teikoku (Japanese: 妖精帝國, Hepburn: Yōsei Teikoku; German: Das Feenreich; lit. "Fairy Empire") is a Japanese rock band formed in 1997. Their music mixes elements of gothic metal, heavy metal, electronic, and classical music. Their works include the opening tracks of several anime series, including Future Diary, Magical Pokan, Innocent Venus, Kurokami: The Animation, The Qwaser of Stigmata, Big Order, and the Tokyo ESP soundtrack. After releasing several independent albums, the band released seven major-label albums with their current label Lantis: Gothic Lolita Propaganda, Metanoia, Gothic Lolita Doctrine, Gothic Lolita Agitator, Pax Vesania, Shadow Corps(e) and The Age Of Villains.

Yousei Teikoku is led by vocalist Yui, whose official title is "Dictator for Life". She bestows honorary titles on the band members as part of the Fairy Empire.

Innocent Venus
Innocent Venus (Japanese: イノセント・ヴィーナス, Hepburn: Inosento Vīnasu) is a Japanese anime television series which began broadcasting on the Wowow network in Japan on July 26, 2006 at midnight. The series makes use of some 3D cel-shaded animation, which achieves a more "hand drawn" look than traditional 3D animation. At Anime Boston 2007, ADV Films announced they licensed for the show (for $120,000). On July 11, 2008 ADV announced that it was discontinuing printing of the DVDs.
KWYO
KWYO (1410 AM) is a radio station broadcasting a Classic Country music format. Licensed to Sheridan, Wyoming, United States, the station is currently owned by Lovcom, Inc. and features programming from CBS News Radio.

All Lovcom stations are located in the Sheridan Media Radio Center, at 1716 KROE Lane on Sheridan's east side.

Sheridan, Wyoming
Sheridan is a city in the U.S. state of Wyoming and the county seat of Sheridan County. The city is located halfway between Yellowstone Park and Mount Rushmore by U.S. Route 14 and 16. It is the principal town of the Sheridan, Wyoming, Micropolitan Statistical Area which encompasses all of Sheridan County. The 2020 census put the city's population at 18,737, making it the 6th most populous city in Wyoming.
Court ministry
The Court ministry was the 27th ministry of the Government of Western Australia, led by Liberal Premier Sir Charles Court and deputy Des O'Neil (Ray O'Connor replaced O'Neil following his retirement in 1980). It commenced on 5 June 1975, following the Court–McPharlin Ministry, 15 months after the Coalition's electoral defeat of the Tonkin Labor government. It was followed by the O'Connor Ministry upon Court's retirement as Premier on 25 January 1982.

Des O'Neil
Sir Desmond Henry O'Neil (27 September 1920 – 25 September 1999) was an Australian politician who was a Liberal Party member of the Legislative Assembly of Western Australia from 1959 to 1980. He was a minister in the governments of Sir David Brand and Sir Charles Court, and served as deputy premier to Court between 1975 and 1980.
Delair Branch
The Delair Branch is a freight-only railway line in the United States. It runs from Philadelphia to Pennsauken, New Jersey. For most of its length it runs parallel to the Northeast Corridor. It was originally part of the Pennsylvania Railroad system and is now owned by Conrail Shared Assets Operations.

Conrail Shared Assets Operations
Conrail Shared Assets Operations (CSAO) is the commonly used name for modern-day Conrail (reporting mark CRCX), an American railroad company. It operates three networks, the North Jersey, South Jersey/Philadelphia, and Detroit Shared Assets Areas, where it serves as a contract local carrier and switching company for its owners, CSX Transportation and the Norfolk Southern Railway. When most of the former Conrail's track was split between these two railroads, the three shared assets areas (a total of about 1,200 miles of track) were kept separate to avoid giving one railroad an advantage in those areas. The company operates using its own employees and infrastructure but owns no equipment outside MOW equipment.
2018 New Zealand census
The 2018 New Zealand census, which took place on Tuesday 6 March 2018, was the thirty-fourth national census in New Zealand. The population of New Zealand was counted as 4,699,755 – an increase of 457,707 (10.79%) over the 2013 census.

Results from the 2018 census were released to the public on 23 September 2019, from the Statistics New Zealand website. The most recent New Zealand census was held in March 2023.

Statistics New Zealand
Statistics New Zealand (Māori: Tatauranga Aotearoa), branded as Stats NZ, is the public service department of New Zealand charged with the collection of statistics related to the economy, population and society of New Zealand. To this end, Stats NZ produces censuses and surveys.
Hal Ashby
William Hal Ashby (September 2, 1929 – December 27, 1988) was an American film director and editor. His work exemplified the countercultural attitude of the era. He directed wide-ranging films featuring iconic performances. He is associated with the New Hollywood wave of filmmaking with filmmakers such as Martin Scorsese, Woody Allen, Mike Nichols and Sidney Lumet.

Before his career as a director, Ashby edited films for Norman Jewison, notably The Russians Are Coming, the Russians Are Coming (1966), which earned Ashby an Oscar nomination for Best Editing, and In the Heat of the Night (1967), which earned him his only Oscar for the same category. Ashby received a third Oscar nomination, this time for Best Director for Coming Home (1978).  Other films directed by Ashby include The Landlord (1970), Harold and Maude (1971), The Last Detail (1973), Shampoo (1975), Bound for Glory (1976), and Being There (1979).

The Last Detail
The Last Detail is a 1973 American comedy-drama film directed by Hal Ashby, from a screenplay by Robert Towne, based on the 1970 novel by Darryl Ponicsan. The film stars Jack Nicholson, Otis Young, Randy Quaid, Clifton James, and Carol Kane. It follows two career sailors assigned to escort a young emotionally withdrawn junior sailor from their Virginia base to Portsmouth Naval Prison in New Hampshire.

The Last Detail was theatrically released in the United States by Columbia Pictures on December 12, 1973. The film received positive reviews from critics, who praised the performances of Nicholson, Young, and Quaid, as well as Towne's screenplay. It was nominated for two Golden Globe Awards, three Academy Awards, and four British Academy Film Awards (winning two).

The film is one of two 1973 film adaptations of Ponicsan's novels based on his experiences in the U.S. Navy; the other being Cinderella Liberty, starring James Caan and Marsha Mason.
Washington Avenue Historic District (Philadelphia)
Washington Avenue Historic District, or Washington Avenue Factory District, is a national historic district located in the Hawthorne and Bella Vista neighborhoods of South Philadelphia, Pennsylvania. It comprises the remaining four blocks of one of the last industrial neighborhoods in Philadelphia, and encompasses eight contributing buildings built between 1889 and 1927:

1001 Washington Avenue: C. J . Milne Factory

1101 Washington Avenue: Curtis Publishing Company

1135 Washington Avenue: American Cigar Company

1201 Washington Avenue: John Wyeth Chemical Works

1301 Washington Avenue: National Licorice Company

1001 S. Broad Street: John Wanamaker Clothing Factory

1200 Carpenter Street: John Williams and Company

1227 Carpenter Street: Main Belting Company

It was added to the National Register of Historic Places in 1984.

Curtis Publishing Company
The Curtis Publishing Company, founded in 1891 in Philadelphia, Pennsylvania, became one of the largest and most influential publishers in the United States during the early 20th century. The company's publications included the Ladies' Home Journal and The Saturday Evening Post, The American Home, Holiday, Jack & Jill, and Country Gentleman.

In the 1940s, Curtis also had a comic book imprint, Novelty Press.  The company declined in the later 20th century, and its publications were sold or discontinued.  It now exists as Curtis Licensing, which licenses images of and from Curtis magazine covers and artwork.
Commerce, California
Commerce is a city located in southeast Los Angeles County, California, United States. The population was 12,378 at the 2020 census, down from 12,823 at the 2010 census. It is usually referred to as the City of Commerce to distinguish it from the common noun. It is bordered by Vernon on the west, Los Angeles on the northwest, East Los Angeles on the north, Montebello on the east, Downey and Bell Gardens on the south, and Maywood on the southwest. The Los Angeles River forms part of its southwestern boundary, and the Rio Hondo separates it from Downey.  Commerce is served by the Long Beach and Santa Ana freeways, as well as the Metrolink commuter rail service at the Commerce station.

Downey, California
Downey is a city in southeastern Los Angeles County, California, United States, 13 mi (21 km) southeast of Downtown Los Angeles. It is considered part of the Gateway Cities. The city is the birthplace of the Apollo space program and Taco Bell. It is also the home of the oldest operating McDonald's restaurant in the world. As of the 2020 census, the city had a total population of 114,355.
Kirk 'n Marcus
Kirk 'n Marcus is an album by pianist Kirk Lightsey's Quintet featuring Marcus Belgrave that was recorded in 1986 and released by the Dutch Criss Cross Jazz label. The CD release included two additional tracks.

Marcus Belgrave
Marcus Batista Belgrave (June 12, 1936 – May 23, 2015) was an American jazz trumpet player from Detroit, born in Chester, Pennsylvania. He recorded with numerous musicians from the 1950s onwards. Belgrave was inducted into the class of 2017 of the National Rhythm & Blues Hall of Fame in Detroit, Michigan.
Haut les cœurs!
Haut les cœurs! (transl. Top hearts!), also known as Chin Up!, is a 1999 French-Belgian drama film directed by Sólveig Anspach, starring Karin Viard and Laurent Lucas. Viard won the César Award for Best Actress and the Lumière Award for Best Actress for her performance in the film.

Karin Viard
Karin Viard (French: [ka.ʁin vjaʁ]; born 24 January 1966) is a French actress.  She made her film debut in Tatie Danielle in 1990. She has appeared in films such as Delicatessen, L'Emploi du temps, Adultère, mode d'emploi and La parenthèse enchantée.

Viard was a member of the 2003 Cannes Film Festival jury.
Wholey's
Wholey's /ˈwʊliːz/, officially known as Robert Wholey & Co. Inc., is a prominent fish market and grocery store in Pittsburgh's historic Strip District neighborhood. The store is known for its vintage decor, that includes a suspended model train, a bronze pig, and several animatronics. It also is home to a sushi bar and a fast-food style kitchen, as well as a dining room. In addition to the retail store, Wholey's also delivers fresh/frozen seafood and meat items across the United States.

Strip District, Pittsburgh
The Strip District is a neighborhood in Pittsburgh, Pennsylvania, United States. It is a one-half square mile area of land northeast of the central business district bordered to the north by the Allegheny River and to the south by portions of the Hill District.  The Strip District runs between 11th and 33rd Streets and includes four main thoroughfares—Railroad Street/Waterfront Place, Smallman Street, Penn Avenue, and Liberty Avenue—as well as various side streets.

A warehouse district that was once home to many mills and factories, today the Strip District is a destination for groceries, restaurants, bars, and art. Recently, it has become home to dozens of tech and robotics companies as well as a rapidly growing residential population.
Marie-Louise O'Murphy
Marie-Louise O'Murphy (French pronunciation: [ma.ʁi.lwiz ɔ‿.myʁ.fi]; 21 October 1737 – 11 December 1814) was a French model who was the youngest lesser mistress (petites maîtresses) of King Louis XV, and the model for François Boucher's painting The Blonde Odalisque, also known as The Resting Girl. She was also variously called Mademoiselle de Morphy, La Belle Morphise, Louise Morfi and Marie-Louise Morphy de Boisfailly.

Louis Charles Antoine de Beaufranchet
Louis Charles Antoine de Beaufranchet, Comte de Beaufranchet d'Ayat, Seigneur d'Ayat, de Beaumont, de Saint-Hilaire, etc. (French pronunciation: [lwi ʃaʁl ɑ̃twan də bofʁɑ̃ʃɛ]; 22 November 1757 – 2 July 1812) was a French general and politician under the French First Republic and French First Empire. He was the son of Marie-Louise O'Murphy and Jacques de Beaufranchet.
John of Bohemia
John of Bohemia, also called the Blind or of Luxembourg (Luxembourgish: Jang de Blannen; German: Johann der Blinde; Czech: Jan Lucemburský; 10 August 1296 – 26 August 1346), was the Count of Luxembourg from 1313 and King of Bohemia from 1310 and titular King of Poland. He is well known for having died while fighting in the Battle of Crécy at age 50, after having been blind for a decade. In his home country of Luxembourg, he is considered a national hero. Comparatively, in the Czech Republic (anciently the Kingdom of Bohemia), Jan Lucemburský is often recognized for his role as the father of Charles IV, Holy Roman Emperor, one of the more significant Kings of Bohemia and one of the leading Holy Roman Emperors.

Frederick the Fair
Frederick the Fair (German: Friedrich der Schöne) or the Handsome (c. 1289 – 13 January 1330), from the House of Habsburg, was the duke of Austria and Styria from 1308 as well as the anti-king of Germany from 1314 until 1325 and then co-king until his death.
Rolling Prairie station
Rolling Prairie was a South Shore Line flag stop located at County Road 500 East which served the communities of Rolling Prairie and Birchim in LaPorte County, Indiana. The station opened prior to 1910, and closed on July 5, 1994, as part of an NICTD service revision which also saw the closure of Ambridge, Kemil Road, Willard Avenue, LaLumiere, and New Carlisle.

Kemil Road station
Kemil Road was a South Shore Line flag stop located at the corner of Kemil Road and U.S. 12 in Porter County, Indiana. The stop was located at the eastern edge of the Indiana Dunes State Park. It was established in 1977 on the initiative of South Shore Recreation, a citizens group, and closed in 1994.
Official White House portraits of Barbara and George H. W. Bush
Portraits of the former president of the United States George H. W. Bush and first lady Barbara Bush were painted by the American portrait artist Herbert Abrams in 1994. The paintings were unveiled in 1995 in a ceremony at the White House. A second portrait was later commissioned for Barbara Bush who did not like Abrams's painting. Painted by Chas Fagan in 2005, it was deemed more successful and currently hangs in the White House.

Chas Fagan
Charles A. Fagan (born 1966), better known as Chas Fagan, is an American artist and sculptor. He is known for painting oil portraits of all 45 U.S. Presidents (as of 2016), on commission from C-SPAN and the White House Historical Association. He also painted the official canonization image of Mother Teresa on commission from the Knights of Columbus, basing his work on a photograph by Michael Collopy. His other works include portraits, landscapes and still life, along with sculptures related to American historical figures. His work was featured in the American Presidents: Life Portraits exhibition in 1999, and in other venues.
Alexandra Jiménez
Alexandra Jiménez Arrechea (born 4 January 1980) is a Spanish actress. She became popular for her role as África Sanz in the sitcom Los Serrano. She starred in the TV series La pecera de Eva, broadcast between 2010 and 2011. Between 2015 and 2016 she hosted the stand-up comedy show El club de la comedia.

Los Serrano
Los Serrano is a Spanish television drama comedy which premiered on 22 April 2003 and aired on Telecinco. It tells the story of the Serrano family, who lives in Round Santa Justa No 133, located in the fictional neighborhood of Santa Justa, in the Ribera del Manzanares, in Madrid. It was produced by Globomedia for Telecinco.

The series was a pioneer in introducing a new family model as well as being at the peak and suiting to new social currents. The origin of the plot focuses on coexistence and the differences between men and women in the same house.
Gautam Vig
Gautam Vig (born 27 September 1987) is an Indian model and actor. He is best known for his role as Surya Seth in Saath Nibhaana Saathiya 2 and  Jordan Junooniyatt. He was also a contestant on Bigg Boss 16. His early on screen appearance can be traced to him playing a college student in Pyaar Ki Ye Ek Kahaani in 2010 for a couple of episodes.

Bigg Boss (Hindi TV series) season 16
Bigg Boss 16 also known as  Bigg Boss: Iss baar Bigg Boss khud khelenge  was the sixteenth season of the Indian Hindi-language reality TV series Bigg Boss. It premiered on Colors TV on 1 October 2022. Salman Khan hosted the show for the thirteenth time. The grand finale aired on 12 February 2023 where MC STAN emerged as the winner and Shiv Thakare as the runner-up. The season went on to become one of the most successful seasons in the show's history.