hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Jordan's totient function
In number theory, Jordan's totient function, denoted as , where  is a positive integer, is a function of a positive integer, , that equals the number of -tuples of positive integers that are less than or equal to  and that together with  form a coprime set of  integers.

Jordan's totient function is a generalization of Euler's totient function, which is the same as . The function is named after Camille Jordan.

On-Line Encyclopedia of Integer Sequences
The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching at AT&T Labs. He transferred the intellectual property and hosting of the OEIS to the OEIS Foundation in 2009, and is its chairman.

OEIS records information on integer sequences of interest to both professional and amateur mathematicians, and is widely cited. As of November 2025, it contains over 390,000 sequences, and is growing by approximately 30 entries per day.

Each entry contains the leading terms of the sequence, keywords, mathematical motivations, literature links, and more, including the option to generate a graph or play a musical representation of the sequence. The database is searchable by keyword, by subsequence, or by any of 16 fields. There is also an advanced search function called SuperSeeker which runs a large number of different algorithms to identify sequences related to the input.
1935 Masters Tournament
The 1935 Masters Tournament was the second Masters Tournament, then still known as the "Augusta National Invitation Tournament," held April 4–8 at Augusta National Golf Club in Augusta, Georgia, US.

In a change from the first year, the nines were switched to their present order, with the finishing hole at "Holly." In the fourth round, Gene Sarazen holed a double eagle (235 yards, 4 wood) to tie Craig Wood and force a 36-hole playoff. This second shot at "Firethorn," the par-5 15th hole, then 485 yards (443 m), is referred to in golf as the "shot heard 'round the world."

Sarazen won the Monday playoff by five strokes, even-par 144 to 149 (+5), and parred the 15th hole in both rounds. Tournament co-founder and host Bobby Jones finished at 297, fifteen strokes back in a tie for 25th place. The purse was $5,000 and the winner's share was $1,500.

Craig Wood (golfer)
Craig Ralph Wood (November 18, 1901 – May 7, 1968) was an American professional golfer in the 1930s and 1940s, the winner of 21 PGA Tour titles including two major championships and a member of three Ryder Cup teams (1931, 1933, 1935).

Wood was the first player to lose all four major championships in extra holes. His major wins came late in his career at age 39, winning the first two of 1941, the Masters and U.S. Open.
Johnnie Jackson
John Alec Jackson (born 15 August 1982) is an English professional football manager and former footballer who played as a midfielder or as a defender. He is the manager of EFL League One club AFC Wimbledon.

EFL League Two Manager of the Month
The EFL League Two Manager of the Month is a monthly association football award to recognise the outstanding team manager in EFL League Two, the fourth tier of English football. The recipient is chosen by a panel assembled by the League's sponsor, Sky Bet, and the award is announced alongside those for the EFL Championship and EFL League One Manager of the Month at the beginning of the following month. The League Two award was introduced in February 2005 when Coca-Cola was the sponsor. Their sponsorship ended in 2010.

The highest number of awards won is five by Keith Hill, all with Rochdale. Phil Brown, John Coleman, Paul Ince and Chris Wilder have won four awards each and another ten managers have won three apiece. At club level, Bury managers have won the award eight times, followed by Northampton Town. Port Vale and Southend United (all seven).
The Moment: A Minor
The Moment: A Minor (stylized as The moment: 未成年, a minor.) is the debut EP by South Korean singer Kim Woojin, released on August 5, 2021, by 10x Entertainment and distributed by Stone Music Entertainment and Genie Music. The EP consists of six tracks, including the pre-released single "Still Dream" and lead single "Ready Now".

Commercially, the EP peaked at number seven on the Gaon Album Chart. To promote the EP, Kim embarked on the Still Dream World Tour in July 2022.

Mnet (TV channel)
Music Network (acronym of the Mnet) is a South Korean pay television music channel owned by CJ ENM Entertainment Division.

The CJ E&M Center Studio located in Sangam-dong, Mapo District, Seoul is the headquarters, broadcast and recording centre of many Mnet programs with a studio audience, namely the live weekly music show M Countdown. It is also the venue for live performances in survival shows such as Superstar K, Show Me The Money series, Produce 101 series, Comeback War series, Planet series and Street Dance series. Other shows are filmed in CJ E&M Studio in Ilsan and CJ E&M Contents World in Paju.
WPWR-TV
WPWR-TV (channel 50), branded Fox Chicago Plus, is a television station licensed to Gary, Indiana, United States. It is one of two commercial television stations in the Chicago market to be licensed in Indiana (alongside WJYS [channel 62] in Hammond). WPWR-TV is owned by Fox Television Stations alongside WFLD (channel 32), an owned-and-operated station of the Fox network; the stations share studios on North Michigan Avenue in the Chicago Loop and transmitter facilities atop the Willis Tower. The station carries programming from Fox's secondary programming service, MyNetworkTV, in late night.

WPWR-TV sold its spectrum space in the Federal Communications Commission (FCC)'s incentive auction, and began channel-sharing with WFLD on June 11, 2018.

Frequency sharing
In telecommunications, frequency sharing or channel sharing is the assignment to or use of the same radio frequency by two or more stations that are separated geographically or that use the frequency at different times. It reduces the potential for mutual interference where the assignment of different frequencies to each user is not practical or possible.
Kismet (chocolate bar)
Kismet is a Finnish chocolate bar produced by Fazer.

Kismet is a flat, rectangular bar. It is about 15 cm long, 5 cm wide and 1 cm thick. It is divided into four sections that are easy to break from each other. It weighs about 55 g and contains an estimated 283 calories with 17 g of total fat.

Kismet is made of crisp waffle and nougat covered in milk chocolate.

In late 2009, early 2010 Fazer began an advertising campaign for the new Raspberry flavoured Kismet bar.

Waffle
A waffle is a dish made from usually leavened batter or dough that is cooked between two plates that are patterned to give a characteristic size, shape, and surface impression. There are many variations based on the type of waffle iron and recipe used. Waffles are eaten throughout the world, particularly in Belgium, which has over a dozen regional varieties.  Waffles may be made fresh or simply heated after having been commercially baked and packaged fresh or frozen.
Bogomolov–Miyaoka–Yau inequality
In mathematics, the Bogomolov–Miyaoka–Yau inequality is the inequality

between Chern numbers  of compact complex surfaces of general type. Its major interest is the way it restricts the possible topological types of the underlying real 4-manifold. It was proved independently by Shing-Tung Yau (1977, 1978) and Yoichi Miyaoka (1977), after Antonius Van de Ven (1966) and Fedor Bogomolov (1978) proved weaker versions with the constant 3 replaced by 8 and 4.

Armand Borel and Friedrich Hirzebruch showed that the inequality is  best possible by finding infinitely many cases where equality holds. The inequality is false in positive characteristic: William E. Lang (1983) and Robert W. Easton (2008) gave examples of surfaces in characteristic p, such as generalized Raynaud surfaces, for which it fails.

Inventiones Mathematicae
Inventiones Mathematicae is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current (2023) managing editors are Jean-Benoît Bost (University of Paris-Sud) and Wilhelm Schlag (Yale University).
Wilhelmina Strandberg
Maria Wilhelmina Strandberg née Söhrling (6 November 1845 –16 October 1914) was a Swedish operatic mezzo-soprano who performed at the Royal Theatre in Stockholm from 1867 to 1903, mainly in soubrette roles.

Soubrette
A soubrette is a female minor stock character in opera and theatre, often a pert lady's maid. By extension, the term can refer generally to any saucy or flirtatious young woman. The term arrived in English from Provençal via French, and means "conceited" or "coy".
Plummer Peak
Plummer Peak is a summit located in Mount Rainier National Park in Lewis County, Washington. With an elevation of 6,374 feet (1,943 m) it is the seventh highest peak in the Tatoosh Range. It was named for Fred G. Plummer, a Forest Service cartographer who taught geography in Tacoma Public Schools.

Hiking to the summit requires a mix of hillwalking and scrambling. The area is also used for skiing, though avalanches present a danger; in 1988, skier Pamela Benton Lee died after being buried by an avalanche on Plummer Peak.

From the peak, views of Mount Rainier, the town of Packwood, the Goat Rocks, Mount St. Helens, and Mount Adams are visible. A small tarn is located on the side of the summit. A col called "The Saddle" creates a walkable ridge connecting Plummer Peak to its neighbor, Pinnacle Peak.

Packwood, Washington
Packwood is an unincorporated community and census-designated place (CDP) located in easternmost Lewis County, Washington, in the United States. As of the 2020 census, the CDP had a population of 319, while the town and surrounding Packwood community (east of Cora Bridge) had a total population of 1,073.
Pierce Mason Butler
Pierce Mason Butler (April 11, 1798 – August 20, 1847) was an American soldier and statesman who served as the 56th Governor of South Carolina from 1836 to 1838. He was killed while serving as colonel of the Palmetto Regiment at the Battle of Churubusco, during the Mexican–American War.

Battle of Churubusco
The Battle of Churubusco took place on August 20, 1847, while Santa Anna's army was in retreat from the Battle of Contreras or Battle of Padierna during the Mexican–American War. It was the battle where the San Patricio Battalion, made up largely of US deserters, made their last stand against U.S. forces. The U.S. Army was victorious, outnumbering more than six-to-one the defending Mexican troops. After the battle, the U.S. Army was only 5 miles (8 km) away from Mexico City. 50 Saint Patrick's Battalion members were officially executed by the U.S. Army, all but two by hanging. Collectively, this was the largest mass execution in United States history.
Nils Eklöf
Nils Evert Eklöf (25 July 1904 – 22 December 1987) was a Swedish runner. He competed at the 1928 Summer Olympics in the 3000 m steeplechase and 5000 m events and finished fourth in the steeplechase.

Eklöf initially trained as a boxer. He changed to running in 1923, and already by 1927 was ranked first in the world over 3000 and 5000 m distances. At the 1928 Olympics he abandoned his 5000 m race, but finished fourth in the steeplechase, which he rarely ran before. After that he continued running and worked as a planning supervisor and a sports adviser.

Steeplechase (athletics)
A steeplechase is an obstacle race in athletics which derives its name from the steeplechase in horse racing. The foremost version of the event is the 3000 metres steeplechase. The 2000 metres steeplechase is the next most common distance. In youth athletics, a distance of 1000 metres is occasionally used for steeplechase races.
Arishadvargas
In Hinduism, arishadvarga or shadripu (Sanskrit: षड्रिपु; meaning the six enemies) are the six enemies of the mind. These are kama (Desire/Lust), krodha (Anger), lobha (Greed), mada (Ego), moha (Attachment), and matsarya (Jealousy). In Hinduism, these 6 traits are considered negative characteristics that prevent humans from attaining moksha.

Moh
Moh (Punjabi: ਮੋਹ mōha; Sanskrit: muh) is a word in Punjabi and Sanskrit which describes attachment to worldly possessions or individuals. It is one of the five thieves within Sikh philosophy which hinder one's spiritual development.
Morck
Morck is a surname. Notable people with the surname include:

Fredrikke Mørck (1861–1934), Norwegian feminist, editor and teacher

Martin Mörck (born 1955), Norwegian artist

Niels-Peter Mørck (born 1990), Danish football player

Olof Mörck (born 1981), Swedish guitarist and songwriters

Sidsel Mørck (born 1937), Norwegian poet and novelist

Fredrikke Mørck
Fredrikke Andrea Møllerup Mørck (9 November 1861 – 14 October 1934) was a Norwegian liberal feminist, editor, and teacher. She served as the editor-in-chief of the women's rights magazine Nylænde from 1916 to 1927 and as the 10th president of the Norwegian Association for Women's Rights from 1926 to 1930.
Hoy (American newspaper)
Hoy was a brand used for Spanish-language newspapers in a number of American cities, among which were New York and Los Angeles. Before the brand was no longer used, it was owned by Patrick Soon-Shiong.

On February 12, 2007, ImpreMedia announced its purchase of Hoy's New York edition. Hoy's Chicago and Los Angeles publications were not affected by the transaction. The New York Hoy was later merged into El Diario La Prensa.

In 2018, Patrick Soon-Shiong purchased Hoy titles in Los Angeles and San Diego, as part of his purchase of the assets related to the Los Angeles Times and San Diego Union-Tribune. A year later, both were folded into the respective Spanish editions of the Times and Tribune.

On November 12, 2019, Tribune Publishing announced that it would cease print and online publication of Hoy (Chicago) effective December 13.

ImpreMedia
ImpreMedia, LLC is a media company headquartered in Downtown Brooklyn, New York City.

Co-founded by John Paton, its products include Hispanic newspapers, websites, and magazines. In its portfolio, it has some of the most reputed news publications in Spanish based in the United States such as La Opinión and El Diario La Prensa.

In 2012, the firm was taken over by US Hispanic Media Inc, a subsidiary of Argentinian company S.A. La Nación. In May 2022, four years after Iván Adaime was appointed CEO of ImpreMedia, it was announced that My Code Media acquired majority ownership of the company.
David Sharples
David Sharples  AKC (born 17 March 1958) is a retired priest who served as Archdeacon of Rochdale and former Archdeacon of Salford.

He was educated at King's College London and ordained after a period of study at the College of the Resurrection, Mirfield in 1983. After a curacy at St Mary the Virgin, Prestwich he was Vicar of St Anne's, Royton from 1987 to 2002; and  Director of Ordinands for the Anglican Diocese of Manchester from 2002.

He retired effective 31 March 2024.

A keen supporter of Manchester City, he is married with two sons.

College of the Resurrection
The College of the Resurrection, popularly known as Mirfield, is an Anglo-Catholic theological college of the Church of England in Mirfield, West Yorkshire, England.

The college was founded in 1902 and describes itself as "A Theological College like no other". The college has close links to the Community of the Resurrection. It trains men and women in the Anglo-Catholic tradition for the priesthood.
Saint Illtyd's Walk
Saint Illtyd's Walk is a 64-mile-long (103 km) waymarked long-distance footpath in South Wales. It runs from Pembrey Country Park, west of Burry Port, through rural eastern Carmarthenshire and Neath Port Talbot to end at Margam Country Park, south of Port Talbot.

The walk is named after Illtyd (or Illtud), a late-fifth / early-sixth century Welsh saint.

Burry Port
Burry Port (Welsh: Porth Tywyn) is a port town and community in Carmarthenshire, Wales, on the Loughor estuary (Moryd Llwchwr), to the west of Llanelli and south-east of Kidwelly. Its population was recorded at 5,680 in the 2001 census and 6,156 in the 2011 census, and estimated at 5,998 in 2019. The town has a harbour.

It is also where Amelia Earhart landed as the first woman to fly across the Atlantic Ocean. Nearby are the Pembrey Burrows sand dune and wetland system, forming a country park, and the Cefn Sidan sands. Its musical heritage includes Burry Port Opera, Male Choir and Burry Port Town Band.
Cordillera Darwin Metamorphic Complex
The Cordillera Darwin Metamorphic Complex is a geologic complex composed chiefly of metamorphic rocks located in southern Tierra del Fuego. It has been suggested that the Cordillera Darwin Metamorphic Complex is analogous to the Eastern Andes Metamorphic Complex. The Cordillera Darwin Metamorphic Complex is the only metamorphic complex in the southern Andes known to have amphibolite facies rocks containing kyanite and sillimanite which evidences high-grade metamorphism. High-grade metamorphism took place during the Cretaceous purportedly in association with the closure of the Rocas Verdes Basin.

The protoliths of Cordillera Darwin Metamorphic Complex are unrelated to Tierra del Fuego Igneous and Metamorphic Complex despite present-day proximity.

Kyanite
Kyanite is a typically blue aluminosilicate mineral, found in aluminium-rich metamorphic pegmatites and sedimentary rock. It is the high pressure polymorph of andalusite and sillimanite, and the presence of kyanite in metamorphic rocks generally indicates metamorphism deep in the Earth's crust. Kyanite is also known as disthene or cyanite.

Kyanite is strongly anisotropic, in that its hardness varies depending on its crystallographic direction. In kyanite, this anisotropism can be considered an identifying characteristic, along with its characteristic blue color. Its name comes from the same origin as that of the color cyan, being derived from the Ancient Greek word κύανος. This is typically rendered into English as kyanos or kuanos and means "dark blue."

Kyanite is used as a raw material in the manufacture of ceramics and abrasives, and it is an important index mineral used by geologists to trace metamorphic zones.
Mr. Zog's Sex Wax
Mr. Zog's Sex Wax is a brand of surfwax manufactured for use on surfboards that is produced in Carpinteria, California. This wax is rubbed on the top surface or "deck" of a surfboard to allow traction and grip for the surfer.

Mr. Zog's Sex Wax was first produced by Frederick Charles Herzog, III (also known as Mr. Zog) and chemist Nate Skinner  in 1972. Hank Pitcher designed their original logo.

Due to the product name, promotional materials such as bumper stickers and t-shirts became extremely popular, even among those who had never ridden a surfboard. Their slogans, such as "The best for your stick", included sexual innuendo. The materials confirmed their counterculture status by being banned from schools and amusement parks.

Different wax formulations are sold under the names: "Quick Humps", "Really Tacky",  and "Navel Wax".

Counterculture
A counterculture is a culture whose values and norms of behavior are opposed to those of the current mainstream society, and sometimes diametrically opposed to mainstream cultural mores. A countercultural movement expresses the ethos and aspirations of a specific population during a well-defined era. When oppositional forces reach critical mass, countercultures can trigger dramatic cultural changes.

Prominent examples of countercultures in the Western world include the Levellers (1645–1650), Bohemianism (1850–1910), the more fragmentary counterculture of the Beat Generation (1944–1964), and the globalized counterculture of the 1960s which in the United States consisted primarily of Hippies and Flower Children (c. 1965–1973, peaking in 1967–1970). Regarding  this last  group, when referring to themselves, counterculture will usually be capitalized and is often hyphenated as: Counter-Culture or Counter-culture.
Diocese of Bacolod
The Diocese of Bacolod is a Latin Catholic diocese of the Catholic Church in Negros Occidental, Philippines. A suffragan of the Archdiocese of Jaro, its jurisdiction covers most of the northwestern towns and cities of the province of Negros Occidental namely, as far as Victorias City in the north and the Municipality of Hinigaran in the south.

The seat of the diocese is the San Sebastian Cathedral in Bacolod (one of 12 cathedrals founded by the Order of Augustinian Recollects in the Philippines) with the San Diego Pro-cathedral in Silay as the diocese's pro-cathedral. The current bishop is Patricio Abella Buzon, SDB, appointed on May 24, 2016, and installed on August 9, 2016.

Order of Augustinian Recollects
The Order of Augustinian Recollects (OAR) is a mendicant Catholic religious order of friars and nuns. It is a reformist offshoot from the Augustinian hermit friars and follows the same Rule of St. Augustine. They have also been known as the "Discalced Augustinians".
Eric Johnson (theologian)
Eric L. Johnson is the Lawrence and Charlotte Hoover Professor of Pastoral Care at Southern Baptist Theological Seminary. He is also Director of the Society for Christian Psychology and associate editor of the Journal of Psychology & Theology. Johnson studied at Toronto Baptist Seminary, Calvin College and Michigan State University, and previously taught at Northwestern College in Minnesota.

Pastoral care
In healthcare settings, pastoral care refers to the provision of emotional and spiritual support to patients, visitors, and staff. Services may include listening to life stories, conducting memorial services, providing companionship, or offering one-on-one time with patients. The specific activities vary depending on whether the care provider follows a religious tradition or operates from a secular framework.
Bonsignore
Bonsignore is a surname. Notable people with the surname include:

Ferdinando Bonsignore (1760–1843), Italian architect and designer

Gregory Bonsignore (born 1983), American playwright and screenwriter

Jason Bonsignore (born 1976) American hockey player

Justin Bonsignore (born 1988), American racing driver

Lillian Bonsignore, former head of the EMS bureau of the New York City Fire Department

Michael Bonsignore (born 1941), American business executive

Vito Bonsignore (born 1943), Italian politician

Gregory Bonsignore
Gregory Bonsignore (born 1983) is an American playwright, television program creator, director for theatre, television and film, producer, novelist, musical theatre librettist and lyricist, screenwriter, comedian and actor.