hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Symplectic matrix
In mathematics, a symplectic matrix is a  matrix  with real entries that satisfies the condition

where  denotes the transpose of  and  is a fixed  nonsingular, skew-symmetric matrix. This definition can be extended to  matrices with entries in other fields, such as the complex numbers, finite fields, p-adic numbers, and function fields.

Typically  is chosen to be the block matrix

where  is the  identity matrix. The matrix  has determinant  and its inverse is .

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.
Donga Department
Donga [dɔ̃ŋ.ga] is one of the twelve departments of Benin; its capital is Djougou, the fourth largest city in the country. The department of Donga was created in 1999 when it was split off from Atakora Department. Donga is subdivided into five communes, each centered at one of the principal towns: Bassila, Copargo, Djougou Rural, Djougou Urban and Ouaké.

As of 2013, the total population of the department was 543,130, with 270,754 males and 272,376 females. The proportion of women was 50.10%. The total rural population was 57.90%, while the urban population was 42.10%. The total labour force in the department was 120,021, of which 24.20% were women. The proportion of households with no level of education was 72.50%.

Departments of Benin
Benin is divided into 12 departments (French: départements), and subdivided into 77 communes (see Communes of Benin). In 1999, the previous six departments were each split into two halves, forming the current 12. Each of the six new departments was assigned a capital in 2008.
Curt von Gottberg
Curt Gustav Friedrich Walther von Gottberg (11 February 1896 – 31 May 1945) was a high-ranking SS-Obergruppenführer who served as Higher SS and Police Leader for central Russia and, from September 1943, as the Generalkommissar (Commissioner-General) of occupied Belarus, combining the highest civil and police powers in  that jurisdiction during the Second World War.

Gottberg personally ordered many war crimes and commanded units that committed atrocities against the civilian population of occupied territories. After the end of the war, he was arrested and committed suicide while in custody.

SS and Police Leader
The title of SS and Police Leader (German: SS- und Polizeiführer) designated a senior Nazi Party official who commanded various components of the Schutzstaffel (SS) and the Ordnungspolizei (Orpo; regular uniformed police), before and during World War II in the German Reich proper and in the occupied territories.
Nicrophorus tomentosus
Nicrophorus tomentosus (gold-necked carrion beetle or tomentose burying beetle) is a species of burying beetle that was described by Friedrich Weber in 1801. The beetle belongs to the family Silphidae which are carrion beetles. The beetles have sensitive antennae that contain olfactory organs. Thus, the beetle can locate dead animals (carcass), and then as the name suggests, can bury them. However, unlike other burying beetles, N. tomentosus does not completely bury these brood carcasses. They instead dig a shallow hole under the carcass and cover it with leaf litter. Recognition of these beetles can be distinguished by its black color with orange markings on the wing covers (elytra).

Burying beetle
Burying beetles or sexton beetles, genus Nicrophorus, are the best-known members of the beetle subfamily Silphinae (carrion beetles). Most of these beetles are black with red markings on the elytra (forewings). Burying beetles are true to their name—they bury the carcasses of small vertebrates such as birds and rodents as a food source for their larvae; this makes them carnivorous. They are unusual among insects in that both the male and female parents take care of the brood.

The genus name is sometimes spelled Necrophorus in older texts: this was an unjustified emendation by Carl Peter Thunberg (1789) of Fabricius's original name, and is not valid under the ICZN.

The American burying beetle (Nicrophorus americanus) has been on the U.S. endangered species list since 1989. This species was native to 35 U.S. states but now is only known to exist in 9.
2002 Georgia lieutenant gubernatorial election
The 2002 Georgia lieutenant gubernatorial election was held on November 5, 2002, to elect the lieutenant governor of Georgia, concurrently with the 2002 gubernatorial election, as well as elections to the United States Senate and elections to the United States House of Representatives and various state and local elections. Georgia is one of 21 states that elects its lieutenant governor separately from its governor.

Incumbent Democratic lieutenant governor Mark Taylor won re-election to a second term, defeating Republican nominee Steve Stancil.

Lieutenant Governor of Georgia
The lieutenant governor of Georgia is a constitutional officer of the State of Georgia, elected to a four-year term by popular vote.  Unlike in some other U.S. states, the lieutenant governor is elected on a separate ticket from the governor of Georgia.

Constitutionally, the lieutenant governor's primary job is to serve as president of Georgia's Senate. In the case of incapacity of the governor, the lieutenant governor assumes their duties and power (but not the title).  Should the governor die or otherwise leave office, the lieutenant governor assumes the office for the remainder of the term.

The office of Lieutenant Governor was created by a state constitutional revision in 1945.  Prior to that time, Georgia did not have such an office.  Elected in 1946 (for a term to begin in 1947) Georgia's first lieutenant governor, Melvin E. Thompson became involved in the three governors controversy.

The current lieutenant governor of Georgia is Republican Burt Jones.
Area code 831
Area code 831 is a telephone area code in the North American Numbering Plan for a small region of the U.S. state of California. The numbering plan area (NPA) comprises Monterey County, San Benito County, and Santa Cruz County. The area code was created in 1998 in an area code split of area code 408.

San Benito County, California
San Benito County (/ˌsæn bəˈniːtoʊ/ ⓘ; San Benito, Spanish for "St. Benedict"), officially the County of San Benito, is a county located in the Central Coast region of California. Situated in the California Coast Ranges, the county had a population of 64,209, as of the 2020 United States census. The county seat is the city of Hollister.

San Benito County is included in the San Jose-Sunnyvale-Santa Clara, CA Metropolitan Statistical Area, which is also included in the San Jose-San Francisco-Oakland, CA Combined Statistical Area. El Camino Real passes through the county and includes one mission in San Juan Bautista.
Yangang station
Yangang Station (simplified Chinese: 燕岗站; traditional Chinese: 燕崗站; pinyin: Yāngǎng Zhàn; Cantonese Yale: Yingōng Jaahm), formerly Jiangyan Lu Station (江燕路站), is an interchange station between the Guangfo Metro (Guangfo line) and Line 11 of the Guangzhou Metro. It is located under Gongye Avenue (工业大道) in the Haizhu District of Guangzhou. The Guangfo line station opened on 28 December 2015. It was the eastern terminus of Guangfo line before the remaining section to Lijiao opened on 28 December 2018. The Line 11 station opened on 28 December 2024.

Lijiao station
Lijiao Station  (simplified Chinese: 沥滘站; traditional Chinese: 瀝滘站; Cantonese Yale: Līkgaau Jaahm) is an interchange station between Line 3 and the Guangfo line of the Guangzhou Metro, and also the eastern terminus of the Guangfo line. It started operations on 28 December 2006. It is located under Lijiao Village (沥滘村) in the Haizhu District of Guangzhou. The Guangfo line was planned to open in 2010 but finally opened on 28 December 2018.
History of computed tomography
The history of X-ray computed tomography (CT) traces back to Wilhelm Conrad Röntgen's discovery of X-ray radiation in 1895 and its rapid adoption in medical diagnostics. While X-ray radiography achieved tremendous success in the early 1900s, it had a significant limitation: projection-based imaging lacked depth information, which is crucial for many diagnostic tasks. To overcome this, additional X-ray projections from different angles were needed. The challenge was both mathematically and experimentally addressed by multiple scientists and engineers working independently across the globe. The breakthrough finally came in the 1970s with the work of Godfrey Hounsfield, when advancements in computing power and the development of commercial CT scanners made routine diagnostic applications possible.

Godfrey Hounsfield
Sir Godfrey Newbold Hounsfield (/ˈhaʊnzfiːld/ HOWNZ-feeld; 28 August 1919 – 12 August 2004) was a British electrical engineer who shared the 1979 Nobel Prize for Physiology or Medicine with Allan MacLeod Cormack for his part in developing the diagnostic technique of X-ray computed tomography (CT).

His name is immortalised in the Hounsfield scale, a quantitative measure of radiodensity used in evaluating CT scans. The scale is defined in Hounsfield units (symbol HU), running from air at −1000 HU, through water at 0 HU, and up to dense cortical bone at +1000 HU and more.
Broomhall, Cheshire
Broomhall is a civil parish in the unitary authority of Cheshire East and the ceremonial county of Cheshire, England. The main line of the Shropshire Union Canal runs through the parish and the River Weaver forms part of its boundary. The main settlement is the hamlet of Broomhall Green, which lies on the A530 about 3.5 miles (5.6 km) south-west of Nantwich. The civil parish has an area of 539 hectares (1,330 acres), and also includes part of the small settlement of Sandford (also in Newhall parish), with a total population of around 200 in 2011. Nearby villages include Aston, Sound, Wrenbury and Audlem. Broomhall appears in the Domesday survey and the name was also historically spelled Bromhall.

Newhall, Cheshire
Newhall is a village (at SJ609454) and civil parish in the unitary authority of Cheshire East and the ceremonial county of  Cheshire, England. The village lies 3½ miles to the west of Audlem and 5 miles to the south west of Nantwich. The parish also includes the village of Aston (at SJ610468), and the small settlements of Aston Heath, Barnett Brook, Brown's Bank, Dodd's Green, Grandford, Grindley Green, Hollingreen, Kingswood Green, Maiden Estate, Salesbrook, Sheppenhall and part of Sandford. Nearby villages include Audlem and Wrenbury.

According to the 2001 census, the parish had a population of 669, increasing to 776 at the 2011 Census.
Priscilla Horton
Priscilla Horton, later Priscilla German Reed (2 January 1818 – 18 March 1895), was an English singer and actress, known for her role as Ariel in W. C. Macready's production of The Tempest in 1838 and "fairy" burlesques at Covent Garden Theatre.  Later, she was known, along with her husband, Thomas German Reed, for establishing and performing in the family-friendly German Reed Entertainments. There, she was a mentor to W. S. Gilbert, and her performances inspired Gilbert to create some of his famous contralto roles.

William Macready
William Charles Macready (3 March 1793 – 27 April 1873) was an English stage actor. The son of Irish actor-manager William Macready the Elder he emerged as a leading West End performer during the Regency era.
2020 North Carolina Senate election
An election was held on November 3, 2020, to elect all 50 members to North Carolina's Senate. The election coincided with the elections for other offices, including the Presidency, U.S. Senate, Governor, U.S. House of Representatives, and state house. The primary election was held on March 3, 2020, with a run-off on June 23, 2020.

2020 North Carolina elections
A general election was held in the U.S. state of North Carolina on November 3, 2020.

To vote by mail, registered North Carolina voters had to request a ballot by October 27, 2020. As of early October, some 1,268,014 voters had requested mail ballots.
Dominican Sisters of Mary, Mother of the Eucharist
The Dominican Sisters of Mary, Mother of the Eucharist, is a Catholic female religious institute of diocesan right, rather than Pontifical right, based in Ann Arbor, Michigan which follows the charism of the Dominican Order. The congregation was founded in 1997 by four members of the Dominican Sisters of St. Cecilia in Nashville, Tennessee. As of 2021, it has 155 members.

Dominican Sisters of St. Cecilia
The Congregation of St. Cecilia, commonly known as the Nashville Dominicans, is a religious institute of the Roman Catholic Church located in Nashville, Tennessee. It is a member of the Council of Major Superiors of Women Religious, one of the two organizations which represent women religious in the United States (the other is the Leadership Conference of Women Religious). The sisters combine a monastic communal lifestyle of contemplation in the Dominican tradition with an active apostolate in Catholic education. As of 2018, the congregation has 300 sisters.
Isaac ben Jacob ha-Lavan
Rabbi Isaac ben Jacob or Yitzhak ben Yaakov, nicknamed "ha-Lavan" or "the white" was a 12th-century rabbi of Bohemia. He was a Tosafist and liturgical poet who flourished at Prague in the late 12th century.

He was the brother of the renowned traveler Petachiah of Regensburg. He was among the earliest of the tosafists ("ba'ale tosafot yeshanim"), a contemporary of Rabbi Eleazar of Metz, and a pupil of Rabbenu Tam. According to Recanati, Isaac directed the yeshivah of Ratisbon. He also lived at Worms for a time.

Isaac is mentioned frequently in the Tosafot, and Isaac ben Moses, in his Or Zarua, No. 739, quotes Isaac ben Jacob's commentary on Ketubot, a manuscript of which exists in the Munich Library (No. 317). He is also mentioned in a commentary to the Pentateuch written in the first half of the 13th century. There is a piyyuṭ signed "Isaac b. Jacob," whom Zunz supposes to be Isaac ben Jacob ha-Lavan.

Tosafot
The Tosafot, Tosafos or Tosfot (Hebrew: תוספות) are medieval commentaries on the Talmud. They take the form of critical and explanatory glosses, printed, in almost all Talmud editions, on the outer margin and opposite Rashi's notes.

The authors of the Tosafot are known as Tosafists; for a listing (see List of Tosafists.)
Dupree Bolton
Dupree Bolton (3 March 1929 – 5 June 1993) was a jazz trumpeter from Oklahoma City, Oklahoma. He is known primarily for his appearance as a backing musician on two hard bop jazz albums, the first led by Harold Land in 1959, and the second led by Curtis Amy in 1963. Bolton spent most of his adult life incarcerated for non-violent crimes related to his drug addiction, and he was considered a mysterious figure by jazz musicians and writers during his lifetime because of the lack of available information about him. He played with relatively few jazz musicians during his musical prime, mainly in the Los Angeles area and inside U.S. prisons including San Quentin and Soledad. Biographical information on Bolton began to emerge following his death, most notably in the work of jazz historian Ted Gioia, who was able to find and interview Bolton four years before Bolton's death in 1993.

Harold Land
Harold de Vance Land (December 18, 1928 – July 27, 2001) was an American hard bop and post-bop tenor saxophonist. Land developed his hard bop playing with the Max Roach/Clifford Brown band into a personal, modern style, often rivalling Clifford Brown's instrumental ability with his own inventive and whimsical solos. His tone was strong and emotional, yet hinted at a certain introspective fragility.
HM Excise
His or Her Majesty's Excise refers to 'inland' duties levied on articles at the time of their manufacture. Excise duty was first raised in England in 1643. Like HM Customs (a far older branch of the revenue services), the Excise was administered by a board of commissioners who were accountable to the Lords Commissioners of the Treasury. While 'HM Revenue of Excise' was a phrase used in early legislation to refer to this form of duty, the body tasked with its collection and general administration was usually known as the Excise Office.

In 1849 the Board of Excise was merged with the Board of Stamps and Taxes to form a new department: the Inland Revenue. Sixty years later the Excise department was demerged from the Inland Revenue and amalgamated with HM Customs to form HM Customs and Excise (which was itself amalgamated with the Inland Revenue in 2005 to create HM Revenue and Customs).

Inland Revenue
The Inland Revenue was, until April 2005, a department of the British Government responsible for the collection of direct taxation, including income tax, national insurance contributions, capital gains tax, inheritance tax, corporation tax, petroleum revenue tax and stamp duty. More recently, the Inland Revenue also administered the Tax Credits schemes, whereby monies, such as Working Tax Credit (WTC) and Child Tax Credit (CTC), are paid by the government into a recipient's bank account or as part of their wages. The Inland Revenue was also responsible for the payment of child benefit (from 1999).

The Inland Revenue was merged with HM Customs and Excise to form HM Revenue and Customs which came into existence on 18 April 2005. The current name was promoted by the use of the expression "from Revenue and Customs" in a series of annual radio, and to a lesser extent, television public information broadcasts in the 2000s and 2010s.
Sean Reyes
Sean David Reyes (born February 16, 1971) is an American lawyer and politician who has served as the Attorney General of Utah from 2013 to 2025. Appointed to the office by Governor Gary Herbert following the resignation of John Swallow, Reyes was reelected. Reyes is a member of the Republican Party and is a vocal and longtime supporter of Donald Trump. He has served as a county, state, and national delegate for the Republican Party and a member of the Utah Republican Party's State Central Committee.

Utah Attorney General
The attorney general of Utah is an elected constitutional officer in the executive branch of the state government of Utah. The attorney general is the chief legal officer and legal adviser in the state. The office is elected, with a term of four years. The current office holder is Derek Brown, who was inaugurated on January 8, 2025.
Ysbrechtum
Ysbrechtum (Dutch: IJsbrechtum) is a village 1 km from the city of Sneek in Friesland, Netherlands. It had a population of around 690 in January 2017.

Ysbrechtum contains the Epema State, an old estate.

Sneek
Sneek (Dutch pronunciation: [sneːk] ⓘ; West Frisian: Snits [snɪts]) is a city southwest of Leeuwarden and the seat of the former municipality of Sneek in the province of Friesland, Netherlands. As of 2011 it is the seat of the municipality of Súdwest-Fryslân (Southwest Friesland). The city had approximately 34,850 inhabitants in January 2024.

Sneek is situated in Southwest Friesland, close to the Sneekermeer, and is well known for its canals, the Waterpoort (Watergate, the symbol of the city), and watersports (hosting the annual Sneekweek, the largest sailing event on inland European waterways). Sneek is one of the Friese elf steden ("Eleven cities of Friesland"). The city is very important in the southwestern part of Friesland (called the Zuidwesthoek, or Southwest Corner).
Leicestershire Militia
The Leicestershire Militia was an auxiliary military force in Leicestershire in the East Midlands of England. From their formal organisation as Trained Bands in 1558 the Militia of Leicestershire served during times of international tension and all of Britain's major wars. They provided internal security and home defence but sometimes operated further afield, including Ireland and France, relieving regular troops from routine garrison duties, and acting as a source of trained officers and men for the Regular Army. The regiment later became a battalion of the Leicestershire Regiment, served in the Second Boer War, and trained thousands of reservists and recruits during World War I. It maintained a shadowy existence until final disbandment in 1953.

Royal Leicestershire Regiment
The Leicestershire Regiment (Royal Leicestershire Regiment after 1946) was a line infantry regiment of the British Army, with a history going back to 1688. The regiment saw service for three centuries, in numerous wars and conflicts such as both World War I and World War II, before being amalgamated, in September 1964, with the 1st East Anglian Regiment (Royal Norfolk and Suffolk), the 2nd East Anglian Regiment (Duchess of Gloucester's Own Royal Lincolnshire and Northamptonshire) and the 3rd East Anglian Regiment (16th/44th Foot) to form the present day Royal Anglian Regiment, of which B Company of the 2nd Battalion continues the lineage of the Royal Leicestershire Regiment.
Take A Moment
Take A Moment (foaled 18 December 1995) is a Standardbred horse and one of New Zealand's greatest ever trotters.  Racing from 2000 to 2005, he won 39 of his 67 starts, and his overall prize money of $NZ1,164,356 is only bettered by his stablemate Lyell Creek in terms of Australasian trotters.  His biggest wins included two Inter Dominion Trotting Championship Grand Finals, three Dominion Handicaps and a Rowe Cup. He was inducted into the Inter Dominion Hall of Fame.

Rowe Cup
The Rowe Cup is a race held annually at Alexandra Park, Auckland, New Zealand for standardbred horses.

The Rowe Cup is run over a distance of 3200 m. Along with the Dominion Handicap raced at Addington Raceway it is one of the major harness races for trotters rather than pacers.

The Rowe Cup is currently held in early May on the same night as the Roy Purdon Memorial Handicap (Group 1) for pacers. Previously it was held later in May on the same night as the Auckland Cup and Northern Trotting Derby for 3 year old trotters. In 2024 Australian visitors Greg Sugars and Jess Tubbs won both Cups with Just Believe and Better Eclipse.

Between 1918 and 1971 it was raced in December.
Bucky Dent
Russell Earl "Bucky" Dent (né O'Dey; born November 25, 1951) is an American former professional baseball player and manager. He played in Major League Baseball (MLB) for the Chicago White Sox, New York Yankees, Texas Rangers, and Kansas City Royals from 1973 to 1984. He managed the Yankees in 1989 and 1990.

Dent earned two World Series rings as the starting shortstop for the Yankees in 1977 and 1978, both over the Los Angeles Dodgers and was voted the World Series Most Valuable Player Award in 1978. Dent is famous for his home run in a tie-breaker game against the Boston Red Sox at Fenway Park at the end of the 1978 regular season.

World Series Most Valuable Player Award
The Willie Mays World Series Most Valuable Player (MVP) Award is given to the Major League Baseball (MLB) player deemed to have the most impact on his team's performance in the World Series, which is the final round of the MLB postseason. The award was first presented in 1955 by Sport magazine, but since 1985 has been officially presented by MLB. The winner is determined during the final game of the World Series by a committee of reporters and officials present at the game.

On September 29, 2017, the award was renamed in honor of Willie Mays in remembrance of the 63rd anniversary of The Catch, which occurred the year before the award's debut; Mays never won the award himself.