hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Agmon's inequality
In mathematical analysis, Agmon's inequalities, named after Shmuel Agmon,  consist of two closely related interpolation inequalities between the Lebesgue space  and the Sobolev spaces .  It is useful in the study of partial differential equations.

Let  where .  Then Agmon's inequalities in 3D state that there exists a constant  such that

and

In 2D, the first inequality still holds, but not the second: let  where .  Then Agmon's inequality in 2D states that there exists a constant  such that

For the -dimensional case, choose  and  such that .  Then, if  and , the following inequality holds for any

Sobolev space
In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function together with its derivatives up to a given order. The derivatives are understood in a suitable weak sense to make the space complete, i.e. a Banach space. Intuitively, a Sobolev space is a space of functions possessing sufficiently many derivatives for some application domain, such as partial differential equations, and equipped with a norm that measures both the size and regularity of a function.

Sobolev spaces are named after the Russian mathematician Sergei Sobolev. Their importance comes from the fact that weak solutions of some important partial differential equations exist in appropriate Sobolev spaces, even when there are no strong solutions in spaces of continuous functions with the derivatives understood in the classical sense.
White Post Historic District
White Post Historic District is a national historic district located at White Post, Clarke County, Virginia. It encompasses 23 contributing buildings and 1 contributing object in the crossroads village of White Post. The contributing object is the white-painted marker which Thomas, Sixth Lord Fairfax, had erected in the 1760s (supposedly erected by then-Col. George Washington) to point the way to Greenway Court, his nearby estate.

The most distinguished building is the Bishop Meade Memorial Church (1875), named for White Post's Bishop William Meade, who grew up at the nearby Lucky Hit plantation. Also located in the district and separately listed is Meadea, the only remaining 18th century building. The historic district also includes 20 other residences, 3 commercial structures, as well as the Methodist church and parish hall, and an abandoned post office.

It was listed on the National Register of Historic Places in 1983.

Thomas Fairfax, 6th Lord Fairfax of Cameron
Thomas Fairfax, 6th Lord Fairfax of Cameron (22 October 1693 – 9 December 1781) was a British-born planter. The only member of the British peerage to permanently reside in British America, Fairfax owned the Northern Neck Proprietary in the Colony of Virginia, where he spent the majority of his life. The proprietary had been granted to Fairfax's ancestor John Colepeper, 1st Baron Colepeper by Charles II of England in 1649.

On his Virginian estates, Fairfax developed a profitable operation based on the forced labour of several hundred black slaves. A steadfast Loyalist during the American Revolution, he was largely protected from the loss of his property due to Fairfax's friendship with George Washington. Several places in Northern Virginia and the eastern panhandle of West Virginia are named for him, including Fairfax County, Virginia and the City of Fairfax.
Septentrion (album)
Septentrion is an album by Anodajay released on June 27, 2006 on his independently owned record label 7ième Ciel Records. The album is Anodajay's second studio album. "Le beat à Ti-Bi" won the Best French Video award at the Sounds of Blackness Awards in 2007. The same video was also a nominee for the Best French Video category at the MuchMusic Video Awards in 2007.

Sounds of Blackness Award
Sounds of Blackness Award also known as S.O.B.A. or SOBA is an annual Canadian awards in hip hop and urban music in Quebec and Canada.

SOBA was established by Ruddy B. Eloi, well-known from a French-language Quebec television series Watatatow. He wanted to create a platform to reward artists hailing mainly from the black community of Quebec and Canada, without restricting it to just black-Canadians but open to all urban artists. He successfully organized two such events in 1996 and in 1999. But it obviously wasn't an annual event.

2007 saw the relaunching of SOBA as an annual gala event called GalaSOBA. It awards artists, singers, athletes, politicians and media personalities who have contributed to the development of the black culture in Canada.

Artists who have won Sounds of Blackness Awards include Empire ISIS, Imposs, Karl Wolf, Sir Pathétik
KLCH
KLCH (94.9 FM) is a radio station located in Lake City, Minnesota. They are owned Q Media Group, LLC. Lake Hits 95 transmits their signal from a 328-foot height above average terrain antenna located southeast of Stockholm, Wisconsin. They broadcast using 5,000 watts of power and have a coverage area of about 45 miles.

Stockholm, Wisconsin
Stockholm is a village in Pepin County, Wisconsin, United States, founded in 1854 by immigrants from Karlskoga, Sweden, who named it after their country's capital. The population was 78 at the 2020 census. The village is located within the Town of Stockholm.
Drew Smith
Drew Smith can refer to:-

Drew Smith (politician), Scottish politician

Drew Smith (baseball) (born 1993), American MLB pitcher

Drew Nellins Smith, American writer

He is a very below-average guy. A lot like his name he is pretty basic and average. In his free time you can catch Drew playing Clark in a 1v1 in basketball. (He usually loses)

Drew Smith (politician)
Drew Smith is a Scottish Labour politician. He was Member of the Scottish Parliament (MSP) for the Glasgow region from 2011 to 2016, serving as Scottish Labour's frontbench spokesperson on social justice, the constitution and equalities and as Chair of the Trades Union Group of Labour MSPs.
Phallus tree
The phallus tree was an art motif in Western Europe during the late Middle Ages and the beginning of the Renaissance.

Its concrete significance is hazy, but it appeared in bronze, illuminated manuscript, and paint; it manifested as bawdy humour, religious parody, political comment.  The Tuscan Massa Marittima mural, featuring oversized phalluses, some erect, complete with testes, was Guelph propaganda warning that if the Ghibellines were allowed to take control, they would bring with them sexual perversion and witchcraft.

Massa Marittima mural
The Massa Marittima mural is a 13th-century fresco located on the rear wall of the Fonte dell’Abbondanza, a public fountain in the Tuscan town of Massa Marittima. Often called the “Tree of Fertility,” the image features a large tree bearing numerous phalluses, surrounded by women and black birds. Positioned on a civic structure in a public space, the mural has attracted scholarly attention for its unusual subject matter and ambiguous meaning.

Scholars have offered many interpretations, including political satire, fertility imagery, moral messaging, and signs of factional conflict. Others have placed it within the broader traditions of public art in medieval Italian cities, connecting it to ideas about gender, civic identity, and social control.

Today, the mural is seen as an important example of how art in the Duecento (13th-century) combined politics, symbolism, and public display.
DeGoy B. Ellis
DeGoy Bowman Ellis (November 27, 1876– January 19, 1949) was an American lawyer and politician in Illinois.

Ellis was born on a farm in Boone County, Illinois. He received his bachelor's degree from Dixon College in 1897 and his law degree from University of Illinois College of Law in 1899. Ellis was admitted to the Illinois bar in 1899 and practiced law in Elgin, Illinois. He served as the Elgin city attorney and was a Republican. Ellis served in the Illinois House of Representatives from 1915 to 1921. He died in a hospital following a long illness.

University of Illinois College of Law
The University of Illinois College of Law at Urbana-Champaign is the law school of the University of Illinois Urbana-Champaign, a public land-grant research university in Champaign and Urbana, Illinois. It was established in 1897 and offers the Juris Doctor, Master of Laws, and Doctor of Juridical Science degrees. The law school is located on the south end of the main University of Illinois campus in Champaign, near Memorial Stadium and the State Farm Center.
Astrup, Ringkøbing-Skjern
Astrup is a village in Ringkøbing-Skjern Municipality, Central Denmark Region in Denmark. It is located 10 km south of Videbæk, 16 km east of Lem, 28 km southeast of Ringkøbing and 11 km northeast of Skjern.

Central Denmark Region
The Central Denmark Region (Danish: Region Midtjylland), or more directly translated as the Central Jutland Region and sometimes simply Mid-Jutland, is an administrative region of Denmark established on 1 January 2007 as part of the 2007 Danish municipal reform. The reform abolished the traditional counties (amter) and replaced them with five new administrative regions. At the same time, smaller municipalities were merged into larger units, cutting the total number of municipalities from 271 to 98. The reform diminished the power of the regional level dramatically in favour of the local level and the national government in Copenhagen. The Central Denmark Region comprises 19 municipalities.
1992 Chicago Marathon
The 1992 Chicago Marathon was the 15th running of the annual marathon race in Chicago, United States and was held on October 25. The elite men's race was won by Brazil's José Cesar de Souza in a time of 2:16:14 hours and the women's race was won by home athlete Linda Somers in 2:37:41.

Jose Cesar de Souza
Jose Cesar de Souza (born 16 November 1962) is a retired Brazilian marathon runner who competed in the 1980s and 1990s. In the World Marathon Majors, de Souza became the second athlete from Brazil to win the Chicago Marathon when he won the 1992 event in 2:16:14. The following year, de Souza reappeared at Chicago and finished in 12th place. Outside of Chicago, de Souza was 81st in the 1991 World Marathon Cup and failed to reach the finals of the 1998 IAAF World Road Relay Championships. He also won a silver medal at the 1987 South American Championships in Athletics.
Ronnie Prophet
Ronald Lawrence Victor Prophet (26 December 1937 – 2 March 2018) was a Canadian-American country musician and comedy performer.

He was born in Hawkesbury, Ontario, Canada. In his childhood, Prophet lived in Calumet, Quebec, and began performing at local venues in his youth. His successful musical career in the United States began in the mid-1960s. Prophet also performed in numerous Canadian television productions in the 1970s including Grand Old Country and The Ronnie Prophet Show.

From 1997, he was based in Branson, Missouri, United States, and was married to musician Glory-Anne Carriere.

Prophet died on 2 March 2018 at his home in Tavares, Florida, following cardiac and kidney failure. He was 80.

Tavares, Florida
Tavares (/tʌvˈɛəriz/, tuh-VAIR-ees) is a city and the county seat of Lake County, Florida. The population at the 2020 census was 19,003, and in 2019 the population was estimated to be 17,749. It is part of the Orlando–Kissimmee–Sanford Metropolitan Statistical Area.
Electoral district of Ferntree Gully
The electoral district of Ferntree Gully was an electorate of the Victorian Legislative Assembly.  It was created in 2002 as a replacement for the abolished electorate of Knox.

The district comprised Ferntree Gully and its neighbouring suburbs at the foothills of the Dandenong Ranges.

When it was created, it had a notional Liberal majority of 7.6% suggesting it would be a fairly safe Liberal seat. However, Labor Party's Anne Eckstein won the seat at the 2002 election on the back of the Labor landslide. But at the following election in 2006, Eckstein lost Ferntree Gully to Liberal Nick Wakeling in a very close contest for the seat. The final result revealed a margin of 27 votes, or 0.04%.

The seat was abolished by the Electoral Boundaries Commission ahead of the 2022 election and split into the electoral districts of Bayswater, Rowville and Monbulk.

Electoral district of Rowville
The electoral district of Rowville is an electoral district of the Victorian Legislative Assembly in Australia. It was created in the redistribution of electoral boundaries in 2013, and came into effect at the 2014 state election.

It largely covers the area of the abolished district of Scoresby, covering eastern suburbs of Melbourne. It includes the suburbs of Rowville, Lysterfield, Ferntree Gully, Scoresby and Knoxfield.

The abolished seat of Scoresby was held by Liberal MP Kim Wells, who retained the new seat at the 2014 election.
Galen College of Nursing
Galen College of Nursing is a private for-profit nursing college with multiple locations in the United States.

The college is accredited by the Southern Association of Colleges and Schools Commission on Colleges, Accreditation Commission for Education in Nursing (ACEN), and the  Commission on Collegiate Nursing Education.

For-profit higher education in the United States
For-profit higher education in the United States refers to the commercialization and privatization of American higher education institutions. For-profit colleges have been the most recognizable for-profit institutions, and more recently with online program managers, but commercialization has been part of US higher education for centuries. Privatization of public institutions has been increasing since at least the 1980s.
Michael Bühl
Michael Bühl is a professor of Computational and Theoretical Chemistry in the School of Chemistry, University of St. Andrews. He has published work on the performance of various density functionals, modelling thermal and medium effects, transition-metal NMR of metalloenzymes, modelling of homogeneous catalysis, and molecular dynamics of transition metal complexes.

Coordination complex
A coordination complex is a chemical compound consisting of a central atom or ion, which is usually metallic and is called the coordination centre, and a surrounding array of bound molecules or ions, that are in turn known as ligands or complexing agents.  Many metal-containing compounds, especially those that include transition metals (elements like titanium that belong to the periodic table's d-block), are coordination complexes.
Randy McEachern
Randy McEachern (born October 5, 1955) is an American former football player. He started as quarterback for the Texas Longhorns. He started the 1977 season as the 4th string quarterback on an unranked team and finished as the starter of the #1 team in the country, playing for the national championship.

Texas Longhorns football
The Texas Longhorns football program is the intercollegiate team representing the University of Texas at Austin (variously Texas or UT) in the sport of American football. The Longhorns compete in the NCAA Division I Football Bowl Subdivision (formerly Division I-A) as a member of the Southeastern Conference (SEC). Their home games are played at Darrell K Royal–Texas Memorial Stadium in Austin, Texas.

With over 950 wins, and an all-time win–loss percentage of .704, the Longhorns rank 5th and 7th on the all-time wins and win–loss records lists, respectively. Additionally, the program claims 4 national championships, 34 conference championships, 100 First Team All-Americans (63 consensus and 27 unanimous), and 2 Heisman Trophy winners.
Nancy Turner
Nancy Jean Turner CM OBC FRSC FLS (born 1947) is a Canadian ethnobiologist, originally qualified in botany, who has done extensive research work with the indigenous peoples of British Columbia, the results of which she has documented in a number of books and numerous articles.

First Nations in British Columbia
First Nations in British Columbia constitute the many First Nations governments and peoples in the Canadian province of British Columbia. They are represented by 202 band governments and 23 tribal councils.

Ethnic groups include the Haida, Coast Salish, Kwakwaka'wakw, Gitxsan, Tsimshian, Nisga'a and other examples of the Pacific Northwest Coast cultures, and also various Interior Salish and Athapaskan peoples, and also the Ktunaxa.
Field & Stream: Trophy Bass 3D
Field & Stream: Trophy Bass 3D, also known as simply Trophy Bass 3D, is a fishing video game developed by Dynamix and published by Sierra Sports for Microsoft Windows in 1999. It is the third game in the Trophy Bass series.

Dynamix
Dynamix, Inc. was an American developer of video games from 1984 to 2001, best known for the flight simulator Red Baron, the puzzle game The Incredible Machine, the Front Page Sports series, Betrayal at Krondor, and the online multiplayer game Tribes.
Giant (play)
Giant is a play by Mark Rosenblatt. It is a dramatisation of a period in Roald Dahl's life after his 1983 literary review of a picture book about the siege of West Beirut by the Israeli army during the 1982 Lebanon War was deemed anti-Semitic. It premiered at the Royal Court Theatre in 2024 in a production starring John Lithgow as Dahl which won three Laurence Olivier Awards, including Best New Play.

Nicholas Hytner
Sir Nicholas Robert Hytner (/ˈhaɪtnər/ HYTE-nər; born 7 May 1956) is an English theatre and film director, and film producer. He was previously the Artistic Director of London's National Theatre. His major successes as director include Miss Saigon, The History Boys and One Man, Two Guvnors. He is also known for directing films such as The Madness of King George (1994), The Crucible (1996), The History Boys (2006), and The Lady in the Van (2015). Hytner was knighted in the 2010 New Year Honours for services to drama by Queen Elizabeth II.
Saint-Philbert-de-Grand-Lieu
Saint-Philbert-de-Grand-Lieu (French pronunciation: [sɛ̃ filbɛʁ də ɡʁɑ̃ ljø]; Breton: Sant-Filberzh-Deaz) is a commune in the Loire-Atlantique department in western France.

It is about 400 km southwest of Paris, via Chartres, Le Mans, Angers, and Nantes. The town is twinned with the Welsh suburb of Radyr in Cardiff, Wales's Capital.

Le Mans
Le Mans (/ləˈmɒ̃/; French: [lə mɑ̃] ⓘ) is a city in northwestern France on the Sarthe River where it meets the Huisne. Traditionally the capital of the province of Maine, it is now the capital of the Sarthe department and the seat of the Roman Catholic diocese of Le Mans. Le Mans is a part of the Pays de la Loire region.

Its inhabitants are called Manceaux (male) and Mancelles (female). Since 1923, the city has hosted the 24 Hours of Le Mans, the world's oldest active endurance sports car race. The event is among the most attended and prestigious motor sports events in the world.
Jalal al-Din Castle
Jalal al-Din castle (Persian: قلعه جلال‌الدین) is a historical castle located in Jajarm County in North Khorasan Province, The longevity of this fortress dates back to the Historical periods after Islam.

North Khorasan province
North Khorasan province (Persian: استان خراسان شمالی) is one of the 31 provinces of Iran, located in the northeast of the country. Its capital is the city of Bojnord.

North Khorasan is one of the three provinces created after the division of Khorasan in 2004. Khorasan was the largest province of Iran until it was divided into three provinces on 29 September 2004. The provinces approved by the parliament of Iran (on 18 May 2004) and the Council of Guardians (on 29 May 2004) were Razavi Khorasan, North Khorasan, and South Khorasan. In 2014, it was placed in Region 5.
Philip Bird
Philip Bird is an English actor who has appeared in several British shows such as Peter Birch in the ITV soap opera Emmerdale in 2006. He has also appeared in BBC's Doctors, ITV's Heartbeat and Coronation Street. He appeared in the ITV sitcoms Tripper's Day and Slinger's Day. In 2014, Bird played the role of Allen Klein in the musical Sunny Afternoon.

Sunny Afternoon (musical)
Sunny Afternoon is a jukebox musical with music and lyrics by Ray Davies and a book by Joe Penhall. Based on the formation and career of the English rock band the Kinks, the musical was commissioned and produced by Sonia Friedman and made its world premiere in 2014 at the Hampstead Theatre, London, before transferring to the West End's Harold Pinter Theatre. Featuring songs by the Kinks, Sunny Afternoon includes their hits such as "Lola", "Waterloo Sunset", "You Really Got Me", and the musical's title song, "Sunny Afternoon".
But What Will the Neighbors Think
But What Will the Neighbors Think is the second studio album by American country music artist Rodney Crowell. It was released in 1980 (see 1980 in country music) by Warner Bros. Records. It reached No. 64 on the Top Country Albums chart and No. 155 on the Billboard 200 albums chart. The songs, "Ashes by Now", "Ain't No Money" and "Here Come the 80's" were released as singles. "Ashes by Now" reached No. 78 on the country charts and No. 37 on the Billboard Hot 100 while the other two singles failed to chart. The album has more of a rock & roll influence than Crowell's debut, Ain't Living Long Like This. The album was rereleased on compact disc in 2005.

Guy Clark
Guy Charles Clark (November 6, 1941 – May 17, 2016) was an American country singer-songwriter and luthier. He released more than 20 albums, and his songs have been recorded by other artists, including Townes Van Zandt, Bobby Bare, Jerry Jeff Walker, George Strait, Jimmy Buffett, Kathy Mattea, Lyle Lovett, Ricky Skaggs, Steve Wariner, Emmylou Harris, Rodney Crowell, Steve Earle, Johnny Cash, Willie Nelson, Nanci Griffith and Chris Stapleton. He won the 2014 Grammy Award for Best Folk Album: My Favorite Picture of You.
Marilyn Kozak
Marilyn S. Kozak is an American professor of biochemistry at the Robert Wood Johnson Medical School. She was previously at the University of Medicine and Dentistry of New Jersey before the school was merged. She was awarded a PhD in microbiology by Johns Hopkins University studying the synthesis of the Bacteriophage MS2, advised by Daniel Nathans.

Kozak sought to study the mechanism of eukaryotic translation initiation, a problem long thought to have already been solved by Joan Steitz. While in the Department of Biological Sciences at University of Pittsburgh, she published a series of studies that established the scanning model of translation initiation and the Kozak consensus sequence. Her last publication was in 2008.

Joan A. Steitz
Joan Elaine Argetsinger Steitz (born January 26, 1941) is an American biochemist and molecular biologist, Sterling Professor of Molecular Biophysics and Biochemistry at Yale University and Investigator at the Howard Hughes Medical Institute. She also serves as the Director of the Molecular Genetics Program at the Boyer Center for Molecular Medicine. She is known for her discoveries involving RNA, including insights into how ribosomes interact with messenger RNA by complementary base pairing and that introns are spliced by small nuclear ribonucleic proteins (snRNPs), which occur in eukaryotes. In September 2018, Steitz won the Lasker-Koshland Award for Special Achievement in Medical Science. The Lasker award is often referred to as the 'American Nobel' because 87 of the former recipients have gone on to win Nobel prizes.