hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Trinomial expansion
In mathematics, a trinomial expansion is the expansion of a power of a sum of three terms into monomials. The expansion is given by

where n is a nonnegative integer and the sum is taken over all combinations of nonnegative indices i, j, and k such that i + j + k = n. The trinomial coefficients are given by

This formula is a special case of the multinomial formula for m = 3. The coefficients can be defined with a generalization of Pascal's triangle to three dimensions, called Pascal's pyramid or Pascal's tetrahedron.

Pascal's pyramid
In mathematics, Pascal's pyramid is a three-dimensional arrangement of the coefficients of the trinomial expansion and the trinomial distribution. Pascal's pyramid is the three-dimensional analog of the two-dimensional Pascal's triangle, which contains the binomial coefficients that appear in the binomial expansion and the binomial distribution. The binomial and trinomial coefficients, expansions, and distributions are subsets of the multinomial constructs with the same names.
Guangxi University
Guangxi University (广西大学) is a provincial public university in Nanning, Guangxi, China. It is affiliated with the Guangxi Zhuang Autonomous Region and co-funded by the regional government and the Ministry of Education. The university is part of Project 211 and the Double First-Class Construction.

The university helped pioneer higher education in central and southwestern China, where its faculty, students, and resources contributed to the creation of over 20 universities and academic departments during the mid 20th century. The university grants bachelor's, master's, and doctoral degrees across 27 colleges and departments and 98 undergraduate majors.

Established in 1928, the university was broken up during national education reforms in the 1950s. Its departments were relocated across China to create or bolster numerous other institutions including then Wuhan University, then Sun Yat-sen University, and then Guangxi Normal University.

Project 211
Project 211 (Chinese: 211工程) was a higher education development and sponsorship scheme of the government of China for "preparing approximately 100 universities for the 21st century", initiated in November 1995. There were 115 universities and colleges selected to be part of this program.

Project 211 and Project 985 were both initiated by the Jiang Zemin administration in 1990s as part of the "revitalize the country through science and education" strategy. They were nullified and replaced by the Double First-Class Construction in 2015, under the Xi Jinping administration.
University of Toronto Mississauga Students' Union
The University of Toronto Mississauga Students' Union (UTM Students' Union or UTMSU) is the elected representative body for full-time undergraduates at the University of Toronto Mississauga (UTM), a campus of the University of Toronto in Mississauga, Ontario, Canada. Established as the Erindale College Student Union in 1983, it has been the official representative student committee since 2019.

Based in the UTM Student Centre, the UTMSU operates the Blind Duck campus pub and holds the authority to recognize student associations and clubs at the Mississauga campus.

The UTMSU is one of the five primary students' unions at the University of Toronto and partnered with other four: the University of Toronto Students' Union, Scarborough Campus Students' Union, Association of Part-time Undergraduate Students, and University of Toronto Graduate Students' Union. It is also affiliated as local 109 of the Canadian Federation of Students (CFS).

University of Toronto Students' Union
Students' Administrative Council of the University of Toronto, Inc., branded as the University of Toronto Students' Union (UTSU), is an elected representative body for full-time undergraduate students at the University of Toronto's St. George campus.

The UTSU is one of the five primary students' unions at the University of Toronto and partnered with other four: the University of Toronto Mississauga Students' Union, Scarborough Campus Students' Union, Association of Part-time Undergraduate Students, and University of Toronto Graduate Students' Union. It is also affiliated as Local 98 of the Canadian Federation of Students (CFS).
Psicosis
Dionicio Castellanos Torres (born May 19, 1971) is a Mexican professional wrestler, better known by the ring names Psicosis (sometimes Anglicised as Psychosis) and Nicho el Millonario. He is best known for his appearances with the promotions Lucha Libre AAA World Wide, Consejo Mundial de Lucha Libre and the World Wrestling Association, as well as his appearances in the United States with Extreme Championship Wrestling, Total Nonstop Action Wrestling, World Championship Wrestling, and World Wrestling Entertainment. Championships held by Psicosis include the AAA World Tag Team Championship, WWA World Junior Light Heavyweight Championship, WWA World Welterweight Championship, and WWA World Trios Championship.

Super Crazy
Francisco Islas Rueda (born December 3, 1973), better known by his ring name  Super Crazy, is a Mexican luchador (or professional wrestler). In Mexico, Islas has worked for Asistencia Asesoría y Administración (AAA) and made appearances for various independent promotions but is not currently associated with one specific Mexican promotion. As Super Crazy, Islas gained American exposure by working for Extreme Championship Wrestling (ECW) between 1998 and 2000 and for World Wrestling Entertainment (WWE) between 2005 and 2008. He has also toured Japan on several occasions, working for New Japan Pro-Wrestling (NJPW), Pro Wrestling Zero-One (Zero-1), All Japan Pro Wrestling (AJPW) and Pro Wrestling Noah.
Hollinger Inc.
Hollinger Inc. was a Canadian media company based in Toronto which was established in 1985 by businessman Conrad Black. At one time, the company was the third-largest media empire in the world. In 1996, through stock purchases, it took over control of Southam Inc., at the time, Canada's largest newspaper chain and a newswire service. It sold its Canadian newspaper holdings to  Canwest Global Communications Inc., in August 2000, which included the company's flagship national newspaper, the recently formed National Post. Hollinger, through its subsidiary Hollinger International, continued to own newspapers in the United States, including the Chicago Sun-Times. The company went bankrupt in 2007 and was delisted from the Toronto Stock Exchange in August 2008.

Sun-Times Media Group
Sun-Times Media Group (formerly Hollinger International) was a Chicago-based newspaper holding company. The company formerly owned the Chicago Sun-Times until its acquisition by ownership group ST Acquisition Holdings in 2017.
John de Burgh, 13th Earl of Clanricarde
General John Thomas de Burgh, 13th Earl of Clanricarde, PC (Ire) (English: /dəˈbɜːr ... klænˈrɪkɑːrd/ də-BUR ... klan-RIK-ard; 22 September 1744 – 27 July 1808), styled The Honourable John Thomas de Burgh until 1797, was a British Army officer and politician who served as the governor of Kingston-upon-Hull from 1801 to 1808.

Howe Browne, 2nd Marquess of Sligo
Howe Peter Browne, 2nd Marquess of Sligo KP PC PC (Ire) (18 May 1788 – 26 January 1845), styled Viscount Westport until 1800 and Earl of Altamont from 1800 to 1809, was an Anglo-Irish colonial administrator who served as the governor of Jamaica from 1834 to 1836.
Ajloun Governorate
Ajloun Governorate (alternative spelling Ajlun Governorate) (Arabic: محافظة عجلون) is one of the governorates of Jordan, located north of Amman the capital of Jordan. Ajloun Governorate has the fourth highest population density in Jordan (after Irbid, Jerash, and Balqa Governorates) with a population density of 350.1 people/km2 (2012 estimate). It is bordered by Jerash Governorate from the south east and Irbid Governorate from the north and west.

Irbid Governorate
Irbid or Irbed (Arabic: إربد) is a governorate in Jordan, located north of Amman, the country's capital. The capital of the governorate is the city of Irbid. The governorate has the second largest population in Jordan after Amman Governorate, and the highest population density in the country.
Ingrid Bouterse-Waldring
Ingrid Yolanda Bouterse-Waldring (née Waldring; born 24 April 1961) is a Surinamese entrepreneur and politician who served as the First Lady of Suriname from 2010 to 2020 as the wife of President Dési Bouterse.

First Lady of Suriname
The First Lady of Suriname is a ceremonial designation used for two spouses of Surinamese presidents: Ingrid Bouterse-Waldring (2010–2020, wife of Desi Bouterse) and Mellisa Santokhi-Seenacherry (2020–2025, wife of Chan Santokhi). From 2010 to 2025, the First Ladies had their own office with a secretariat in the former Huis Du Plessis at the Onafhankelijkheidsplein.

Upon the inauguration of President Jennifer Geerlings-Simons, her husband Glenn Geerlings was discussed in terms of the designation "First Gentleman". However, they chose not to continue this tradition.
Pfäfers Abbey
Pfäfers Abbey (German: Kloster Pfäfers), also known as St. Pirminsberg from its position on a mountain, was a Benedictine monastery in Pfäfers near Bad Ragaz, in the canton of St. Gallen, Switzerland.

Situated at the junction of the Tamina and Rhine valleys, it flourished as a religious house and owner of lands and serfs, as well as assuming extraordinary importance as a political and cultural centre of the Chur–Raetian region.

Tamina (river)
The Tamina is a river in the south of the canton of St. Gallen in Switzerland, running close to the border to the canton of Grisons. It has a length of almost 29 km (18 mi), flowing through the Tamina Valley, of which Tamina Gorge (Taminaschlucht) is an impressive part, before it enters the Rhine as a left tributary.
George Templer
George Templer (1781 – 12 December 1843) was a landowner in Devon, England, and the builder of the Haytor Granite Tramway. His father was the second James Templer (1748–1813) who had built the Stover Canal.

He inherited the Stover estate in Teigngrace, Devon on the death of his father, but left its running to his lawyer, preferring to spend his time hunting (founding the South Devon Hunt), writing poetry, and in amateur dramatics. He lived with a mistress and had six children by her before running into financial difficulties and selling his entire estate to the Duke of Somerset. He later built himself a house on the outskirts of Newton Abbot and married the daughter of Sir John Kennaway in 1835. He died in 1843 after a hunting accident.

Stover, Teigngrace
Stover is a historic estate in the parish of Teigngrace, about halfway between the towns of Newton Abbot and Bovey Tracey in South Devon, England. It was bought by James Templer (1722–1782) in 1765 and passed through three generations of that family before being bought by Edward St Maur, 11th Duke of Somerset in 1829.

The Georgian mansion, sometimes called Stover House, was built by the first James Templer. It is a Grade II* listed building. Since 1932 the house and part of the former estate have been occupied by a private school.

114 acres of the former estate situated south of the A38 now forms Stover Country Park, a nature reserve owned and managed by Devon County Council and open to the public.
Max Bemis
Maxim Adam Bemis (/ˈbiːmɪs/; born April 6, 1984) is an American musician, best known as the lead singer and primary songwriter of the rock band Say Anything. He sang alongside Chris Conley in the supergroup Two Tongues (which featured band members from Say Anything and Saves the Day). He plays alongside his former wife Sherri DuPree under the name Perma, and is a comic book writer, chiefly for Marvel Comics, creating X-Men: Worst X-Man Ever and Foolkiller: Psycho Therapy.

Foolkiller
The Foolkiller is the name of four fictional characters, vigilantes appearing in American comic books published by Marvel Comics, consisting of Ross G. Everbest, Greg Salinger, and Kurt Gerhardt in the primary continuity Marvel Universe, and Mike Trace in the MAX imprint.

Gregory Sallinger appears in the third season of Jessica Jones, portrayed by Jeremy Bobb.
Siobhán Killeen
Siobhán Killeen (born 21 September 1995) is a Republic of Ireland  women's international footballer. She has also played for UCD, Raheny United and Shelbourne Ladies. In 2010, she was a member of the Republic of Ireland U-17 squad that were runners-up in the 2010 UEFA Women's Under-17 Championship and quarter-finalists in the 2010 FIFA U-17 Women's World Cup. Killeen has also played senior ladies' Gaelic football for Dublin.

UCD Women's Soccer Club
UCD Women's Soccer Club is an Irish association football club based in Dún Laoghaire–Rathdown. It is the women's association football team of University College Dublin. Founded in 1966, UCD are one of the oldest women's football clubs in the Republic of Ireland. Like the UCD men's team, the women's football team has competed in national competitions, such as the FAI Women's Cup and the Women's National League, as well as intervarsity competitions. UCD has also represented the Republic of Ireland in the UEFA Women's Cup. Between 2014 and 2018, following a merger, with DLR Waves, the club played in the Women's National League and FAI Women's Cup as UCD Waves. However, in 2018 UCD withdrew from the WNL. DLR Waves was subsequently revived as a separate club, taking UCD Waves' place in the WNL.
Whitney Mercilus
Whitney Mercilus (MER-sih-lus; born July 21, 1990) is an American former professional football linebacker who played in the National Football League (NFL) for 10 seasons, primarily with the Houston Texans. He played college football for the Illinois Fighting Illini, where he won the Ted Hendricks Award and the Bill Willis Trophy, and was selected by the Texans in the first round of the 2012 NFL draft. Mercilus spent the entirety of his first nine seasons with Houston, earning a second-team All-Pro selection in 2016. After being released by the Texans early into the 2021 season, he last played for the Green Bay Packers.

Illinois Fighting Illini football
The Illinois Fighting Illini football program represents the University of Illinois Urbana-Champaign in college football at the NCAA Division I Football Bowl Subdivision (formerly Division I-A) level. The Fighting Illini are a founding member of the Big Ten Conference, and have played their home games at Gies Memorial Stadium in Champaign, Illinois since 1923. The Fighting Illini are currently led by head coach Bret Bielema.

Illinois claims 15 Big Ten championships, ranking 4th-most among conference members, and 5 national championships, ranking 13th-most among NCAA Division 1 programs.  Illinois has had 27 Consensus All-Americans, and 15 former Illini have been inducted into the College Football Hall of Fame; in the Pro Football Hall of Fame, 6 former Illini have been inducted. Illinois has three trophy rivalries against Northwestern, Purdue, and Ohio State.
Pierre Arcand
Pierre Arcand (born November 13, 1951) is a Canadian politician, businessman, announcer and journalist in Quebec, Canada. He was the elected Member of the National Assembly of Quebec (MNA) for the provincial riding of Mont-Royal–Outremont in the Island of Montreal from 2007 to 2022. He represented the Quebec Liberal Party. On October 5, 2018, Arcand was named interim leader, following the resignation of Philippe Couillard after the 2018 Quebec general election.

He is the brother of journalist Paul Arcand.

Quebec Liberal Party
The Quebec Liberal Party (QLP; French: Parti libéral du Québec [paʁti libeʁal dy kebɛk], PLQ) is a provincial political party in Quebec. It has been independent of the federal Liberal Party of Canada since 1955.

The QLP has traditionally supported a form of Quebec federalist ideology with nuanced Canadian nationalist tones that supports Quebec remaining within the Canadian federation, while also supporting reforms that would allow substantial autonomism in Quebec. In the context of federal Canadian politics, it is a more centrist party when compared to Conservative and Liberal parties in other provinces, such as the former British Columbia Liberal Party.
Ode to Billy Joe (film)
Ode to Billy Joe is a 1976 American drama film, directed and produced by Max Baer Jr., with a screenplay by Herman Raucher, and starring Robby Benson and Glynnis O'Connor. It is inspired by the 1967 hit song by Bobbie Gentry, titled "Ode to Billie Joe."

Made for $1.1 million, the film grossed $27 million at the box office, plus earnings in excess of $2.65 million in the foreign market, $4.75 million from television, and $2.5 million from video. Reviews were mostly positive.

Gentry's song recounts the day when Billie Joe McAllister committed suicide by jumping off the Tallahatchie Bridge on Choctaw Ridge, Mississippi. When Gentry discussed the screenplay with Raucher, she explained she did not know why the real person who inspired the character of Billie Joe had killed himself. Raucher thus had a free hand to pick a reason. His novelization of the story, published the year of the film's release as a movie tie-in, used the same rationale for the suicide.

Tallahatchie River
The Tallahatchie River is a river in Mississippi which flows 230 miles (370 km) from Tippah County, through Tallahatchie County, to Leflore County, where it joins the Yalobusha River to form the Yazoo River, which ultimately meets the Mississippi River at Vicksburg, Mississippi. The river is navigable for about 100 miles (160 km). At Money, Mississippi, the river's flow measures approximately 7,861 cubic feet (222.6 m3) per second.

Tallahatchie is a Choctaw name meaning "rock of waters". The sources of the Tallahatchie River have outcrops of iron sandstone.

As part of the Flood Control Act of 1936, the federal government built an earth-filled flood control dam on the Tallahatchie near the town of Sardis, Mississippi, creating Sardis Lake.
Electra Collins Doren
Electra Collins Doren (December 4, 1861 – March 4, 1927) was a suffragist and library scientist who started the United States' first book wagon service. She was the longtime director of the Dayton Public Library and Museum in the early 20th century.

Dayton Metro Library
Dayton Metro Library is a multi-branch library system serving 531,687 residents of the Dayton Metropolitan Area. It has 18 locations across the area (including the Main Library, 16 branch libraries, and Outreach Services with a bookmobile). Around 4.8 million items were borrowed in 2024. In 2010, the Dayton Metro Library ranked in the top ten best libraries in the United States serving a population of over 250,000 by HAPLR. The Dayton Metro Library system is considered a county system with branches in cities and towns throughout Montgomery County, Ohio, but does not have branches in Centerville, Germantown, Oakwood, Riverside or Washington Township. All are serviced by libraries of their own, save Riverside, various parts of which are geographically close to Dayton Metro Library locations, including Burkhardt, Electra C. Doren and Huber Heights.
Danny Dichio
Daniele Salvatore Ernest Dichio (Italian: Daniele Salvatore Ernesto Dichio; born 19 October 1974) is an English retired professional footballer and the manager of Detroit City FC.

Dichio scored the first goal in Toronto FC history against the Chicago Fire on 12 May 2007. Later in that same game he became the first player in club history to be red-carded.

After retiring from playing, Dichio coached at various levels of the Toronto FC organization, followed by a stint as an assistant at Sacramento Republic FC, before moving into his current role.

Detroit City FC
Detroit City FC is an American professional soccer club based in Detroit, Michigan, that competes in the USL Championship. The club played in the National Premier Soccer League from 2012 to 2019 and the National Independent Soccer Association in 2020 and 2021. Detroit City plays its home matches at Keyworth Stadium in Hamtramck, an enclave of Detroit. A new stadium, AlumniFi Field in southwestern Detroit, is planned to open in 2027.

The team's nickname is Le Rouge, derived from Detroit's French roots and the River Rouge that flows through Detroit and many of its suburbs. As well as fielding a men's professional team, Detroit City also fields a women's outdoor team in the USL W League and an indoor team in the MASLW, a reserve and academy team competing in United Premier Soccer League and USL Academy, and various youth teams throughout Southeast and Mid Michigan.
Frederick Lewis Taylor
Frederick Lewis Taylor, MA, MC (London, 28 March 1892 – Pallatine Road, Stoke Newington, Cheam, 31 July 1961) was the fourth Abbot of the Benedictines of Saint Augustine's in Ramsgate. The Benedictines of Ramsgate are part of the English Province of the Subiaco Cassinese Congregation. Taylor was a historian educated at Cambridge, author of The Art of War in Italy, 1494-1529. He was a WW1 veteran, having served with the 17th Royal Fusiliers, he was invalided out of the army on 24 March 1918.

St Augustine's Abbey, Ramsgate
St Augustine's Abbey or Ramsgate Abbey is a former Benedictine abbey in Ramsgate. It  was built in 1860 by Augustus Pugin and is a Grade II listed building. It was the first Benedictine monastery to be built in England since the Reformation. In 2010, the monks moved to St Augustine's Abbey in Chilworth, Surrey. The site is now owned by the Vincentian Congregation from Kerala, India. The church of St Augustine, across the road from the abbey site, belongs to the Archdiocese of Southwark and is a shrine of St Augustine of Canterbury.
Triclosan
Triclosan (sometimes abbreviated as TCS) is an antibacterial and antifungal agent present in some consumer products, including toothpaste, soaps, detergents, toys, and surgical cleaning treatments. It is similar in its uses and mechanism of action to triclocarban. Its efficacy as an antimicrobial agent, the risk of antimicrobial resistance, and its possible role in disrupted hormonal development remains controversial.  Additional research seeks to understand its potential effects on organisms and environmental health.

Triclosan was developed in 1966. A 2006 study recommended showering with 2% triclosan as a regimen in surgical units to rid patients' skin of methicillin-resistant Staphylococcus aureus (MRSA).

Toothpaste
Toothpaste is a paste or gel dentifrice that is used with a toothbrush to clean and maintain the aesthetics of teeth. Toothpaste is used to promote oral hygiene: it is an abrasive that aids in removing dental plaque and food from the teeth, assists in suppressing halitosis, and delivers active ingredients (most commonly fluoride) to help prevent tooth decay (dental caries) and gum disease (gingivitis). Due to variations in composition and fluoride content, not all toothpastes are equally effective in maintaining oral health. The decline of tooth decay during the 20th century has been attributed to the introduction and regular use of fluoride-containing toothpastes worldwide. Large amounts of swallowed toothpaste can be poisonous. Common colors for toothpaste include white (sometimes with colored stripes or green tint) and blue.
Dynamic lot-size model
The dynamic lot-size model in inventory theory, is a generalization of the economic order quantity model that takes into account that demand for the product varies over time. The model was introduced by Harvey M. Wagner and Thomson M. Whitin in 1958.

Harvey M. Wagner
Harvey Maurice Wagner (November 20, 1931 – July 23, 2017) was an American management scientist, consultant, and Professor of Operations Research and Innovation Management at the University of North Carolina, Chapel Hill, known for his books on Operations Research and his seminal work on the dynamic lot-size model with Thomson M. Whitin.