hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Reciprocal polynomial
In algebra, given a polynomial

with coefficients from an arbitrary field, its reciprocal polynomial or reflected polynomial, denoted by p∗ or pR, is the polynomial

That is, the coefficients of p∗ are the coefficients of p in reverse order. Reciprocal polynomials arise naturally in linear algebra as the characteristic polynomial of the inverse of a matrix.

In the special case where the field is the complex numbers, when

the conjugate reciprocal polynomial, denoted p†, is defined by,

where  denotes the complex conjugate of , and is also called the reciprocal polynomial when no confusion can arise.

A polynomial p is called self-reciprocal or palindromic if p(x) = p∗(x).
The coefficients of a self-reciprocal polynomial satisfy ai = an−i for all i.

Invertible matrix
In linear algebra, an invertible matrix (non-singular, non-degenerate or regular) is a square matrix that has an inverse. In other words, if a matrix is invertible, it can be multiplied by its inverse matrix to yield the identity matrix. Invertible matrices are the same size as their inverse.

The inverse of a matrix represents the inverse operation, meaning if a matrix is applied to a particular vector, followed by applying the matrix's inverse, the result is the original vector.
Connecticut's 98th House of Representatives district
Connecticut's 98th House of Representatives district elects one member of the Connecticut House of Representatives. It encompasses parts of Branford and Guilford and has been represented by Democrat Moira Rader since 2022.

Connecticut House of Representatives
The Connecticut House of Representatives is the lower house in the Connecticut General Assembly, the state legislature of the U.S. state of Connecticut. The house is composed of 151 members representing an equal number of districts, with each constituency containing nearly 22,600 residents. Representatives are elected to two-year terms with no term limits.
The House convenes within the Connecticut State Capitol in Hartford.
Central Institute of Agricultural Engineering, Bhopal
The Central Institute of Agricultural Engineering (CIAE) is a higher seat of learning, research and development in the field of agricultural engineering, situated in the lake city of Bhopal, Madhya Pradesh, India. It is an autonomous body, an Indian Council of Agricultural Research subsidiary, under the Ministry of Agriculture & Farmer's Welfare, Government of India.

Biomass
Biomass is material produced by the growth of microorganisms, plants or animals. Beyond this general definition, there are differences in how the term is used and applied depending on industry or subject-matter norms. For example, it may be more narrowly defined as just plant matter, or as a combination of plant and animal matter.
Tiger Cubs II
Tiger Cubs II (Chinese: 飛虎II; Cantonese Yale: Fēi Fú; literally "flying tigers 2"), alternatively titled Special Duties Unit II, is a 2014 Hong Kong police procedural television drama produced by TVB under executive producer Lam Chi-wah. The serial premiered on Sunday, 19 October 2014 on Jade, HD Jade in Hong Kong, TVBJ in Australia, Singapore and Astro Wah Lai Toi, Astro Wah Lai Toi HD in Malaysia. It stars Joe Ma, Linda Chung, Him Law, Oscar Leung, Mandy Wong, Benjamin Yuen and Christine Kuo as the casts of the second installment. It over the time slot previously occupied by Shades of Life.

It is the sequel to Tiger Cubs, which was aired in the summer of 2012. The series follow a fictional team of elite paramilitary officers from the Special Duties Unit of the Hong Kong police force, a team that specialises in counter-terrorism, hostage rescue, and crimes that are deemed too dangerous for regular police to handle.

Christine Kuo
Christine Kuo (Chinese: 苟芸慧; pinyin: Gǒu Yúnhuì; Wade–Giles: Kou1 Yün2-hui4; Jyutping: Gau2 Wan4 Wai6; born 11 July 1983) is a Taiwanese-Canadian actress based in Hong Kong. She was the winner of the Miss Chinese Toronto Pageant 2008 and Miss Chinese International Pageant 2009.
Riverton, Nova Scotia
Riverton is an unincorporated community in the Canadian province of Nova Scotia, located in Pictou County.

Riverton is on the Cape Breton and Central Nova Scotia Railway freight-only railway line.

Riverview Adult Residential Care Facility, a centre for mentally handicapped and mentally ill adults operated by Riverview Home Corporation, is located in Riverton.

Cape Breton and Central Nova Scotia Railway
The Cape Breton and Central Nova Scotia Railway (reporting mark CBNS) is a short line railway that operates in the Canadian province of Nova Scotia.   CBNS operates 159 miles (256 kilometres) of main line and associated spurs between Truro in the central part of the province to Point Tupper on Cape Breton Island.

The rail lines CBNS operates were previously owned by the Canadian National Railway.  CBNS began operations in 1994 after the rail lines was purchased in October 1993 by the holding company RailTex.  The purchase and operation of this route made CBNS one of the first short line railways to operate a route previously owned by a Canadian Class I railroad.  On February 4, 2000, RailTex and all of its assets, including CBNS, were sold to the holding company RailAmerica.  On December 12, 2012, RailAmerica and all of its assets, including CBNS, were sold to the holding company Genesee & Wyoming.
Louis XVIII Raising France from Its Ruins
Louis XVIII Raising France from Its Ruins (French: Louis XVIII relevant la France de ses ruines) is an 1814 history painting by the French artist Louis-Philippe Crépin. In allegorical form it depicts the Restoration of the Bourbon Dynasty following the abdication of Napoleon. Louis XVIII, who was returning from exile in Britain, arrived at the port of Calais on 24 April 1814. France is personified by a kneeling topless woman whose gown is covered with Fleur-de-lis while the king is shown wearing a crown and ceremonial robes.

Other members of the Bourbon family are present including the king's brother the Count of Artois and his sons the Duke of Angoulême and the Duke of Berry as well as his daughter-in-law Marie Thérèse of France. Also present is the politician Talleyrand. The painting was displayed at the Salon of 1814 held at the Louvre in Paris. Today it is in the collection of the Palace of Versailles, having been acquired in 1986.

Charles Ferdinand, Duke of Berry
Charles Ferdinand d'Artois, Duke of Berry (24 January 1778 – 14 February 1820), was the third child and younger son of Charles, Count of Artois (later King Charles X of France), and Maria Theresa of Savoy. In 1820 he was assassinated at the Paris Opera by Louis Pierre Louvel, a Bonapartist. In June 1832, two years after the overthrow of Charles X, an unsuccessful royalist insurrection in the Vendée was led by Charles Ferdinand's widow, Marie-Caroline, in an attempt to restore their son Henri, Comte de Chambord, to the French throne.
Examples of feudalism
Feudalism was practiced in many different ways, depending on location and period, thus a high-level encompassing conceptual definition does not always provide a reader with the intimate understanding that detailed historical examples provide.

Western Zhou
The Western Zhou (Chinese: 西周; pinyin: Xīzhōu; c. 1046 – 771 BC) was a period of Chinese history corresponding roughly to the first half of the Zhou dynasty. It began when King Wu of Zhou overthrew the Shang dynasty at the Battle of Muye and ended in 771 BC when Quanrong pastoralists sacked the Zhou capital at Haojing and killed King You of Zhou. The "Western" label for the period refers to the location of the Zhou royal capitals, which were clustered in the Wei River valley near present-day Xi'an.

The early Zhou state was ascendant for about 75 years; thereafter, it gradually lost power. The former lands of the Shang were divided into hereditary fiefs that became increasingly independent of the Zhou king over time. The Zhou court was driven out of the Wei River valley in 771 BC: this marked the beginning of the Eastern Zhou period, wherein political power was wielded in actuality by the king's nominal vassals.
The Murders in the Rue Morgue (1986 film)
The Murders in the Rue Morgue is a 1986 made-for-television mystery film directed by Jeannot Szwarc. It is based on Edgar Allan Poe's 1841 short story of the same name. The film was shot in Paris and shown on CBS on December 7, 1986.

Rebecca De Mornay
Rebecca De Mornay (born August 29, 1959) is an American actress who has appeared in more than 60 films and television shows. Her breakthrough film role came in 1983, when she starred in Risky Business. De Mornay is also known for her roles in The Slugger's Wife (1985), Runaway Train (1985), The Trip to Bountiful (1985), Backdraft (1991), and The Hand That Rocks the Cradle (1992).

De Mornay's other major film credits include The Three Musketeers (1993), Never Talk to Strangers (1995), Identity (2003), Lords of Dogtown, Wedding Crashers (both 2005), and Mother's Day (2010). On television, she starred as Wendy Torrance in the miniseries adaptation of The Shining (1997), and as Dorothy Walker in Marvel's Jessica Jones (2015–19).
Teddy Warwick
Edward James Warwick (21 July 1904 – September 1986) was a British boxer. He competed in the men's flyweight event at the 1924 Summer Olympics and fought as Teddy Warwick.

Warwick won the 1923, 1924 and 1925 Amateur Boxing Association British flyweight title and the 1927 bantamweight title, when boxing out of the Columbia ABC.

Boxing at the 1924 Summer Olympics – Flyweight
The men's flyweight event was part of the boxing programme at the 1924 Summer Olympics. The weight class was the lightest contested, and allowed boxers of up to 112 pounds (50.8 kilograms). The competition was held from July 15, 1924, to July 20, 1924. 19 boxers from 13 nations competed.
Acción Española
Acción Española (Spanish pronunciation: [aɣˈθjon espaˈɲola], Spanish Action) or AE was a Spanish cultural association active during the Second Spanish Republic, meeting point of the ultraconservative and far right intellectual figures that endorsed the restoration of the Monarchy. It was also a political magazine of the same name. The group was heavily influenced by Action Française both in its name and its ideology. Constituted in October 1931, the cultural association was inaugurated on 5 February 1932, following the founding of the journal on 15 December 1931.

Ideology
An ideology is a set of beliefs or values attributed to a person or group of persons, especially those held for reasons that are not purely about belief in certain knowledge, in which "practical elements are as prominent as theoretical ones". Formerly applied primarily to economic, political, or religious theories and policies, in a tradition going back to Karl Marx and Friedrich Engels, more recent use treats the term as mainly condemnatory.

The term was coined by Antoine Destutt de Tracy, a French Enlightenment aristocrat and philosopher, who conceived it in 1796 as the "science of ideas" to develop a rational system of ideas to oppose the irrational impulses of the mob. In political science, the term is used in a descriptive sense to refer to political belief systems.
Big Timber Creek
Big Timber Creek is a 5.6-mile-long (9.0 km) stream in southwestern New Jersey. The creek was called Tetamekanchz Kyl by Lenape tribes prior to European settlement in the area. The creek drains a watershed of 63 square miles (160 km2) and is a tributary of the Delaware River.

Big Timber Creek enters the Delaware River between Brooklawn and Westville, just south of Gloucester City and across from Philadelphia. The main stream and south branch form roughly half of the border between Camden and Gloucester counties.

Pre-Columbian Big Timber Creek was home to numerous villages of the Lenni Lenape. In colonial times, the creek was a commercial waterway, and it powered a multitude of mills up through the 1950s. In the second half of the 20th century, it suffered some ill effects of the rapid post–World War II development that impacted many of America's waterways. As of 2007, the creek had recovered as a result of pollution controls and improvements in sewage treatment.

Brooklawn, New Jersey
Brooklawn is a borough in Camden County, in the U.S. state of New Jersey. As of the 2020 United States census, the borough's population was 1,815, a decrease of 140 (−7.2%) from the 2010 census count of 1,955, which in turn reflected a decline of 399 (-16.9%) from the 2,354 counted in the 2000 census.

Brooklawn was incorporated as a borough on March 11, 1924, from portions of the now-defunct Centre Township, based on the results of a referendum held on April 5, 1924. The borough was reincorporated on March 23, 1926. The borough's name is derived from its location and setting.
Masso (surname)
Masso is a surname. Notable people with the surname include:

Charlie Masso, (born 1969), Puerto Rican singer and actor

Eduardo Masso (born 1964), Argentina-born Belgian former tennis professional

Edward Masso (born 1955), American businessman and retired United States Navy Rear Admiral

George Masso (1926–2019), American musician

Gildo Massó (1926–2007), Puerto Rican entrepreneur

Jericó Abramo Masso, Mexican politician

John Masso (1932–2003), Australian priest

Jorge Massó (born 1950), Cuban former footballer

Liudys Masso, Cuban paralympian

Luca Masso (born 1994), Argentine field hockey player

Maykel Massó, (born 1999), Cuban long jumper

Valjo Masso (1933–2013), Estonian agronomist and politician

Liudys Masso
Liudys Masso is a paralympic athlete from Cuba competing mainly in category F13 discus throw events.

Liudys competed at the 2000 Summer Paralympics winning the gold medal in the F13 discus with a new world record.  She then attempted to defend her title in the 2004 Summer Paralympics bit was unable to get a legal performance.
Víctor Hugo Antelo
Víctor Hugo Antelo Bárba (born 2 November 1964) is a Bolivian football manager and former player who played as a striker.

Antelo the all-time topscorer in the Bolivian League with 350 goals scored in 18 seasons. In 2000, he was named the world's active most prolific top division goalscorer with 343 goals in 429 league matches.

The Strongest
Club The Strongest is a Bolivian professional football club based in La Paz, that currently plays in the Bolivian Primera División.

Founded in 1908, their team colours are yellow and black. Although they have a home ground, Estadio Rafael Mendoza, (capacity: 15,000), they play most of their games at the Estadio Hernando Siles, Bolivia's national ground (capacity: 42,000). The club is the oldest active football club in Bolivia and the only team to have played continuously in the country's top division for longer than a century.

The club was well represented in the Bolivian squad at the 1994 FIFA World Cup, the last such tournament in which the national team participated, by Marcelo Torrico, Gustavo Quinteros, Óscar Sánchez and José Melgar.
Bani (surname)
Bani is a surname. Notable people with the surname include:

Andrei Bani (born 2002), Romanian footballer

Eugenio Bani (born 1991), Italian racing cyclist

Gilbert Bani (born 1986), stage name A-Q, Nigerian rapper and songwriter

Heinz Bäni (1936–2014), Swiss footballer

Jimi Bani (fl. 2006–present), Indigenous Australian actor

John Bani (born 1941), Vanuatuan former politician, President of Vanuatu from 1999 to 2004

Mattia Bani (born 1993), Italian footballer

Peter Bäni (born 1945), Swiss retired slalom canoeist

Prosper Douglas Bani, Ghanaian politician and United Nations international aid and development manager, former Minister of Interior for Ghana

Zahra Bani (born 1979), Somalian-born Italian javelin thrower

Prosper Douglas Bani
Prosper Douglas Kwaku Bani (born 17 September, 1958) is a Ghanaian international aid and development manager and politician who is a former Chief of staff of Ghana and a former Minister for Interior. He is a senior manager and specialist in international peace-building and development processes. For over 15 years, he led innovative processes in peace and development with the United Nations in several locations, worldwide.
Mark Brewer (soldier)
Brigadier Mark Andrew Brewer, AM, CSC & Bar is a senior Australian Army officer and a former Commandant of Royal Military College, Duntroon, the officer training school of the Australian Army. He held this position from 2016 to 2017. He graduated from Duntroon in 1987.

Brewer has been awarded the Conspicuous Service Cross (CSC) twice. He received the CSC in the 2006 Queen's Birthday Honours, and received a Bar for it in the 2011 Australia Day Honours. He was appointed a Member of the Order of Australia in the 2018 Australia Day Honours.

Royal Military College, Duntroon
The Royal Military College, Duntroon, also known simply as Duntroon, is the Australian Army's officer training establishment. It was founded at Duntroon in Canberra, Australian Capital Territory, in 1911, and is situated at the foot of Mount Pleasant near Lake Burley Griffin, close to the Department of Defence headquarters at Russell Hill. Duntroon is adjacent to the Australian Defence Force Academy (ADFA), which is the tri-service military academy of the Australian Defence Force, and provides both military and tertiary academic education for junior officers of the Australian Army, Royal Australian Air Force and Royal Australian Navy.
Bagrat I of Tao
Bagrat I (Georgian: ბაგრატ I) (died March 945) was a Georgian prince of the Bagratid dynasty of Tao-Klarjeti and hereditary ruler of Upper Tao with the Byzantine title of magistros. He also held lands in Javakheti, Shavsheti, Kola, Artaani and Phasiane.

Bagrat was a son of the Georgian king Adarnase IV and acquired the duchy of Upper Tao after the death, in 941, of his relative Gurgen II with whom the first house of Tao became extinct. Bagrat was, thus, the founder of the second house of Tao whose ascendancy would last until 1000/1001. According to the 18th-century historian Vakhushti, Bagrat also held the Byzantine title of curopalates, but this is not attested by earlier sources. Bagrat was survived by a son, Adarnase. A church inscription from Ishkhani (now in Turkey) calls Bagrat "magistros and king".

Göle
Göle (Armenian: Կող, romanized: Kogh; Georgian: კოლა, romanized: k'ola; Kurdish: Mêrdînik) is a small city in Ardahan Province of Turkey. The city was formerly known as Merdenik, Merdinik or Ardahan-ı Küçük ("Little Ardahan" in Ottoman Turkish). It is the seat of Göle District. Its population is 5,775 (2021).
Sandy carpet
Perizoma flavofasciata, the sandy carpet or sandy rivulet, is a moth of the family Geometridae. The species was first described by Carl Peter Thunberg in 1792. It is found in most of Europe and northern Africa and east across the Palearctic to the Urals and the Altai Mountains. The species prefers meadow valleys, floodplains, waterside areas, bushy meadows and gardens. In the Alps it rises to 1500 metres.

Carl Peter Thunberg
Carl Peter Thunberg, also known as Karl Peter von Thunberg, Carl Pehr Thunberg, or Carl Per Thunberg (11 November 1743 – 8 August 1828), was a Swedish naturalist and an "apostle" of Carl Linnaeus. After studying under Linnaeus at Uppsala University, he spent seven years travelling in southern Africa and Asia, collecting and describing many plants and animals new to European science, and observing local cultures. He has been called "the father of South African botany", "pioneer of Occidental Medicine in Japan", and the "Japanese Linnaeus".
Ellsworth Vines
Henry Ellsworth Vines Jr. (September 28, 1911 – March 17, 1994) was an American tennis champion of the 1930s, the World No. 1 player or the co-No. 1 in 1932 as an amateur, and in 1934, 1935, 1936 and 1937 as a professional. He won three Grand Slam titles, the U.S. National Championships in 1931 and 1932 and the Wimbledon Championships in 1932. Vines also was able to win Pro Slam titles on three different surfaces. He later became a professional golfer and reached the semifinals of the PGA Championship in 1951.

Massachusetts Open
The Massachusetts Open is the Massachusetts state open golf tournament. The brothers Donald Ross and Alex Ross had much success early in the tournament's history, winning the first eight events between them. In the mid-1910s, the Massachusetts Golf Association opened the event to golfers outside the state. The tournament evolved into an event of national significance as legendary golfers like Walter Hagen, Gene Sarazen, and Byron Nelson won during the era. In the 1940s, the event evolved into more of a local affair though many of the top pros from Massachusetts played. In the late 20th and early 21st century, PGA Tour pros from the state like Paul Harney, Dana Quigley, and Geoffrey Sisk won the event several times each.
Stobo Castle
Stobo Castle is located at Stobo in the Scottish Borders, in the former county of Peeblesshire. The building of the present castle began in 1805 and was completed in 1811 under the supervision of architects Archibald and James Elliot. It is currently operated as a health spa. The house is protected as a category A listed building,  while the grounds are included in the Inventory of Gardens and Designed Landscapes in Scotland, the national listing of significant parks and gardens. The estate lies on the B712, facing the River Tweed near its junction with the Lour Burn.

Scottish Borders
The Scottish Borders (Scottish Gaelic: Crìochan na h-Alba; Scots: The Mairches), often shortened to the Borders within Scotland, is one of the country's 32 council areas. It is bordered by West Lothian, Edinburgh, Midlothian, and East Lothian to the north, the North Sea to the east, Dumfries and Galloway to the south-west, South Lanarkshire to the west, and the English ceremonial counties of Cumbria and Northumberland to the south. The area's largest settlement is Galashiels; its administrative centre is Newtown St Boswells.

The term "Scottish Borders" is also used for the areas of southern Scotland and northern England that bound the Anglo-Scottish border, namely Dumfries and Galloway, Scottish Borders, Northumberland, and Cumbria. The council area occupies approximately the same area as the historic shires of Berwickshire, Peeblesshire, Roxburghshire, and Selkirkshire.
Ingemund Fænn
Ingemund Fænn (18 September 1907 – 19 June 1987) was a Norwegian newspaper editor.

He was born in Stryn Municipality. He worked in Fjordingen from 1928 to 1936, and was hired in Bergens Tidende in 1936. He advanced to head of its Oslo office in 1946, and was editor-in-chief from 1956 to 1977.

Fjordingen
Fjordingen is a Norwegian newspaper, published in Stryn in Vestland county. It was named Innfjordingen from 1928 to 1929.

It started on 14 September 1928 as Innfjordingen. The first editor Nils Hertzberg was a sympathizer of the Fatherland League, but the newspaper had no clear political allegiance. It furthermore went bankrupt after a year, but continued from 4 November 1929 with the name Fjordingen.

During the occupation of Norway by Nazi Germany a Nazi editor Bernhard Dippner was forced upon Fjordingen in 1941, before the newspaper was stopped in January 1942. The printing press was also taken away. After the war, the newspaper had some problems getting a new printing press and owner, but it resumed with a trial issue on 18 December 1945, first ordinary issue on 4 January 1946 and ownership by the Conservative Party from 1948. It was bought by local owners in the 1970s, then by Sunnmørsposten in 2003.