hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Fibonacci's identity
Fibonacci's identity may refer either to:

the Brahmagupta–Fibonacci identity in algebra, showing that the set of all sums of two squares is closed under multiplication

the Cassini and Catalan identities on Fibonacci numbers

Brahmagupta–Fibonacci identity
In algebra, the Brahmagupta–Fibonacci identity expresses the product of two sums of two squares as a sum of two squares in two different ways. Hence the set of all sums of two squares is closed under multiplication. Specifically, the identity says

For example,

The identity is also known as the Diophantus identity,  as it was first proved by Diophantus of Alexandria.  It is a special case of Euler's four-square identity, and also of Lagrange's identity.

Brahmagupta proved and used a more general Brahmagupta identity, stating

This shows that, for any fixed A, the set of all numbers of the form x2 + Ay2 is closed under multiplication.

These identities hold for all integers, as well as all rational numbers; more generally, they are true in any commutative ring.  All four forms of the identity can be verified by expanding each side of the equation.  Also, (2) can be obtained from (1), or (1) from (2), by changing b to −b, and likewise with (3) and (4).
Stookey
Stookey is a surname. Notable people with the surname include:

Bob Stookey, a fictional character from the comic book series The Walking Dead and the television series of the same name

Kris Stookey (born 1969), American yacht racer

Nathaniel Stookey (born 1970), American composer

Paul Stookey (born 1937), American folk singer-songwriter

S. Donald Stookey (1915–2014), American engineer and the creator of CorningWare

S. Donald Stookey
Stanley Donald Stookey (May 23, 1915 – November 4, 2014) was an American inventor. He had 60 patents in his name related to glass and ceramics (some patents solely his and others shared as joint patents with other inventors). His discoveries and inventions have contributed to the development of ceramics, eyeglasses, sunglasses, cookware, defense systems, and electronics.

He was a research director at Corning Glass Works for 47 years doing R&D in glass and ceramic development. His inventions include Fotoform, CorningWare, Cercor, Pyroceram and Photochromic Ophthalmic glass eyewear.
Daniil Samsonov
Daniil Aleksandrovich Samsonov (Russian: Даниил Александрович Самсонов; born 13 July 2005) is a Russian figure skater, who formerly held three junior world records for men's skating.

He is the 2020 Youth Olympic bronze medalist, the 2019 Junior Grand Prix Final bronze medalist, the 2019 JGP Poland champion, the 2019 Winter Children of Asia International Sports Games champion, and a two-time Russian junior national champion (2019, 2020).

2019–20 Grand Prix of Figure Skating Final
The 2019–20 Grand Prix of Figure Skating Final and ISU Junior Grand Prix Final  was held from December 5–8, 2019 at the Torino Palavela in Turin, Italy. The combined event was the culmination of two international series — the Grand Prix of Figure Skating and the Junior Grand Prix. Medals were awarded in the disciplines of men's singles, ladies' singles, pair skating, and ice dance on the senior and junior levels.

Strasbourg, France was announced as the provisional host, before being changed to Turin.
Virpur railway station
Virpur railway station  is a railway station serving in Rajkot district of Gujarat State of India.  It is under Bhavnagar railway division of Western Railway Zone of Indian Railways. Virpur railway station is 58 km far away from Rajkot Junction. Passenger, Express trains halt here.

Virpur is well known for Jalaram Bapa Temple.

Virpur, Rajkot district
Virpur is a town in Rajkot district of Gujarat, India. Virpur is the birthplace of saint Jalaram bapa and has a temple dedicated to him here which is popular among pilgrims. Virpur was established and ruled by Koli chieftain Viro Bariyo.
Daniel Dobbyns
Daniel Dobbyns was High Sheriff of Worcestershire in 1641. He became a captain in the Parliamentary Army and was also a member of the Worcestershire County Committee.

He and William Hopkins were both returned for Bewdley in 1647 (a double return for a single seat) to replace the Royalist Sir Henry Herbert. The election was voided and a new election held in 1648.

William Hopkins (Bewdley MP)
William Hopkins (died 19 July 1647) was an English politician who won election to the House of Commons in 1647.

Hopkins was  described as "the most eminent and truly religious magistrate of Bewdley" and a "gracious and able Christian". In 1647, he was elected Member of Parliament for Bewdley in a double return. The election was declared void and he died before the by-election.

Hopkins was buried at Ribbesford on 21 July 1647.

Hopkins married Helen Vickaris on 30 October 1609.
Spotted-belly catshark
Sharks portal

The spotted-belly catshark (Atelomycterus erdmanni) is a species of coloured catshark belonging to the family Atelomycteridae. It is found in eastern Indonesia. This species differs from Atelomycterus baliensis in having white spots present over the body a larger first dorsal fin, paired fins closer together, and pelvic fin further apart from the ventral caudal-fin origin. A. erdmanni differs from Atelomycterus marmoratus in having far less numerous white spotting a larger first dorsal fin, and the clasper glans about half length of clasper outer margin.

Clasper
In biology, a clasper is a male anatomical structure found in some groups of animals, used in mating.

Male cartilaginous fish have claspers formed from the posterior portion of their pelvic fin which serve to channel semen into the female's cloaca during mating. The act of mating in some fish including sharks usually includes one of the claspers raised to allow water into the siphon through a specific orifice.  The clasper is then inserted into the cloaca, where it opens like an umbrella to anchor its position. The siphon then begins to contract, expelling water and sperm. The claspers of many shark species have spines or hooks, which may hold them in place during copulation. Many male holocephalans, including living chimaeras, have cephalic claspers (tenacula) on their heads, which are thought to aid in holding the female during mating.

In entomology, it is a structure in male insects that is used to hold the female during copulation (see Lepidoptera genitalia for more).
Talsaclidine
Talsaclidine (WAL-2014) is a non-selective muscarinic acetylcholine receptor agonist which acts as a full agonist at the M1 subtype, and as a partial agonist at the M2 and M3 subtypes. It was under development for the treatment of Alzheimer's disease but showed only modest or poor efficacy in rhesus monkeys and humans, respectively, perhaps due to an array of dose-limiting side effects including increased heart rate and blood pressure, increased salivation, urinary frequency and burning upon urination, increased lacrimation and nasal secretion, abnormal accommodation, heartburn, upset stomach as well as cramps, nausea, vomiting and diarrhea, excessive sweating and palpitations.

Muscarinic acetylcholine receptor M2
The muscarinic acetylcholine receptor M2, also known as the cholinergic receptor, muscarinic 2, is a muscarinic acetylcholine receptor that in humans is encoded by the CHRM2 gene. Multiple alternatively spliced transcript variants have been described for this gene. It is Gi-coupled, reducing intracellular levels of cAMP.
Fred C. Tucker
Fred C. "Bud" Tucker, Jr. (1918 – December 10, 1994) was an American businessman and real estate broker who served as the owner and CEO of the F.C. Tucker Company from 1958 to 1986. He is best known for leading development and revitalization efforts in downtown Indianapolis.

In his tenure as the leader of the F.C. Tucker Company, he helped establish the Hilton Indianapolis, Market Square Arena, the OneAmerica Tower, One Indiana Square, Merchants Plaza, and many other projects. He was recognized as "Realtor of the Year" by the Indianapolis Real Estate Board and the Indiana Real Estate Association in 1967 and served as the president of the National Association of Real Estate Boards (now the National Association of Realtors).

Hilton Indianapolis
The Hilton Indianapolis Hotel & Suites is a hotel in Indianapolis, Indiana. The structure was completed as an office building in 1971 and converted to a hotel in 2000. It has 18 floors with a total of 332 rooms. The Hilton was formerly the tallest hotel in the city; the JW Marriott Indianapolis surpassed it when it was completed in 2011.
The Tip of the Iceberg
The Tip of the Iceberg (Spanish: La punta del iceberg) is a 2016 Spanish thriller film directed by David Cánovas which stars Maribel Verdú, Carmelo Gómez, Bárbara Goenaga, Fernando Cayo, Álex García and Ginés García Millán. It is an adaptation of the stage play of the same name by Antonio Tabares.

Institute of Cinematography and Audiovisual Arts
The Institute of Cinematography and Audiovisual Arts (Spanish: Instituto de la Cinematografía y de las Artes Audiovisuales; ICAA) is a Spanish government agency, charged with the planning of policies to support the film industry and audiovisual production. It depends on the Ministry of Culture. It is a member of the European Film Promotion (EFP) network on behalf of Spain.
SS Sir Trevor Dawson
Sir Trevor Dawson was an American-built Canadian bulk carrier that operated from 1916 to 1970 on the Great Lakes. She was launched on September 9, 1916 as hull #524. She was built by the Superior Shipbuilding Company of Superior, Wisconsin using the stern of the wrecked bulk freighter William C. Moreland. She was powered by a 2,000-horsepower (1,500 kW) triple expansion steam engine, supplied by two coal-fired Scotch marine boilers. The Sir Trevor Dawson's first owner was the American Interlake Company. Her homeport was Duluth, Minnesota. She entered service in December 1916 carrying a load of grain to Duluth.

Superior, Wisconsin
Superior is a city in Douglas County, Wisconsin, United States, and its county seat. The population was 26,751 at the 2020 census. Superior and nearby Duluth, Minnesota, sit at the western tip of Lake Superior and together form the Twin Ports, a major Great Lakes harbor.

Bordered by Saint Louis, Superior, and Allouez bays, the city is framed by two rivers: the Nemadji and the Saint Louis. Superior is at the junction of U.S. Route 2 and U.S. Route 53 immediately north of, and adjacent to, both the Village of Superior and the Town of Superior. It is an industrial city, with ship harbors along two sides, several large rail yards, an oil refinery, and a shipyard. Superior and neighboring Duluth feature museum ships (SS William A. Irvin in Duluth and SS Meteor in Superior), devoted to the local maritime heritage. Superior was the final port of call for SS Edmund Fitzgerald before her sinking on November 10, 1975.
Wilbur Howard Duncan
Wilbur Howard Duncan (October 15, 1910 – March 25, 2005) was a botany professor at the University of Georgia for 40 years where he oversaw an expansion in the school's herbarium collection and described three new plant species. Duncan also authored several books on plant species of the Eastern and Southeastern United States.

University of Georgia Press
The University of Georgia Press or UGA Press is the university press of the University of Georgia, a public land-grant research university with its main campus in Athens, Georgia. It is the oldest and largest publishing house in Georgia and a member of the Association of University Presses.

Domestic distribution for the press is currently provided by the University of North Carolina Press's Longleaf Services.
She's Got Me Dancing
"She's Got Me Dancing" is a song by Tommy Sparks, with its music video directed by American comedian Eric Wareheim. It is the second song from his album, Tommy Sparks. The song was released for download and in shops on 4 May 2009. The song has been used occasionally in the media, being featured in the advertising for the PlayStation 3 game EyePet, television commercials for the iPod Touch and The Perfume Shop, the EA Sports video game FIFA 10, and the Ubisoft dance rhythm game Just Dance 3.

The track has also been used as the background to a number of television channel promos such as Comedy Central and E4. It was also used on the eleventh season of Dancing with the Stars for Kyle Massey and Lacey Schwimmer's samba.

Tommy Sparks (album)
Tommy Sparks is the self-titled debut studio album from the musician Tommy Sparks. It contains 10 tracks written by Tommy Sparks and produced by Mike Crossey. It was released through Island Records on 11 May 2009 in the United Kingdom. The album features his singles "I'm A Rope" and "She's Got Me Dancing". The single "Miracle" was released in August.
William Croft (civil servant)
Sir William Dawson Croft, KCB, KBE, CIE, CVO (16 August 1892 – 18 August 1964) was an English civil servant. Educated at Winchester College and Trinity College, Oxford, he entered the civil service as an administrative official in the India Office in 1919; he served as private secretary to three secretaries of state, from 1931 to 1936 and was then deputy secretary from 1941 to 1947. He was Chairman of the Board of Customs and Excise from 1947 to 1955, after which he chaired the commission recommending trade and tariff policy ahead of the establishment of the West Indies Federation in 1958.

Trinity College, Oxford
Trinity College (full name: The College of the Holy and Undivided Trinity in the University of Oxford, of the foundation of Sir Thomas Pope (Knight)) is a constituent college of the University of Oxford in England. The college was founded in 1555 by Sir Thomas Pope, on land previously occupied by Durham College, home to Benedictine monks from Durham Cathedral.

Despite its large physical size, the college is relatively small in terms of student numbers at approximately 400. It was founded as a men's college and has been coeducational since 1979. As of 2023, the total funds of Trinity amounted to more than £224 million, including a financial endowment of £191 million.

Trinity has produced three British prime ministers, placing it third after Christ Church and Balliol in terms of former students who have held that office.
Ashikaga Domain
Ashikaga Domain (足利藩, Ashikaga-han) was a feudal domain under the Tokugawa shogunate of Edo period Japan, located in Shimotsuke Province (modern-day Tochigi Prefecture), Japan. It was centered on Ashikaga jin'ya in what is now part of the city of Ashikaga. Ashikaga was ruled through most of its history by a junior branch of the Toda clan.

Tochigi Prefecture
Tochigi Prefecture (栃木県, Tochigi-ken) is a landlocked prefecture of Japan located in the Kantō region of Honshu. Tochigi Prefecture has a population of 1,897,649 (1 June 2023) and has a geographic area of 6,408 km2 (2,474 sq mi). Tochigi Prefecture borders Fukushima Prefecture to the north, Gunma Prefecture to the west, Saitama Prefecture to the south, and Ibaraki Prefecture to the southeast.

Utsunomiya is the capital and largest city of Tochigi Prefecture, with other major cities including Oyama, Tochigi, and Ashikaga. Tochigi Prefecture is one of only eight landlocked prefectures and its mountainous northern region is a popular tourist region in Japan. The Nasu area is known for its onsens, local sake, and ski resorts, the villa of the Imperial Family, and the Nasushiobara station of the Shinkansen railway line. The city of Nikkō, with its ancient Shintō shrines and Buddhist temples, is a UNESCO World Heritage Site.
Verena Schäffer
Verena Schäffer (born 22 November 1986) is a German politician for the Alliance 90/The Greens party. She has been a member of the Landtag of North Rhine-Westphalia since 2010. Since October 2020, she has been chairwoman of the Alliance 90/The Greens parliamentary group, and since August 2022, together with Wibke Brems. On 28 January 2026 Schäffer became Minister for Children, Youth, Family, Equality, Asylum and Integration of North Rhine-Westphalia in the Second Wüst cabinet.

Landtag of North Rhine-Westphalia
The Landtag of North Rhine-Westphalia is the state parliament (Landtag) of the German state of North Rhine-Westphalia, which convenes in the state capital of Düsseldorf, in the eastern part of the district of Hafen. The parliament is the central legislative body in the political system of North Rhine-Westphalia. In addition to the passage of laws, its most important tasks are the election of the Minister-President of the state and the administration of the government. The current government is a coalition of the CDU and the Greens, supporting the cabinet of Minister-President Hendrik Wüst since June 2022.

The most recent state election took place on 15 May 2022.
Marek Wietecki
Marek Wietecki (born 2 June 1983) is a Polish Paralympic athlete who competes at international elite competitions. He is a World bronze medalist and a European champion in discus throw, he has also won two medals in javelin throw. He competed at the 2020 Summer Paralympics in the javelin throw and shot put where he finished in sixth place in both events on his debut appearance at the Games.

World Para Athletics Championships
The World Para Athletics Championships, known as the IPC Athletics World Championships prior to 2017, are a biennial Paralympic athletics event organized by World Para Athletics, a subcommittee of the International Paralympic Committee (IPC). It features athletics events contested by athletes with physical disabilities. The first IPC Athletics World Championships were held in Berlin, Germany in 1994.

They are a Paralympic parallel to the World Athletics Championships for able-bodied athletes. Since 2011, when they switched from a quadrennial scheduling to biennial, the IPC championships have been held in the same years as the IAAF championships, although they are separate events and are not necessarily held in the same host city. In 2017, London, which previously hosted the 2012 Summer Paralympics, became the first city to host both the IAAF World Championships and World Para Athletics Championships in the same year and as connected events.
Long Ditton
Long Ditton is a residential suburb in the borough of Elmbridge, Surrey, England on the boundary with the Royal Borough of Kingston upon Thames, London. In medieval times it was a village, occupying a narrow strip of land. Neighbouring settlements include Hinchley Wood, Thames Ditton and Surbiton.

Its northernmost part is 1.5 miles (2.4 km) south-west of central Kingston upon Thames, 11.3 miles from Charing Cross, and 15 miles (24 km) north-east of Guildford. It is divided in two by the South West Main Line and is bordered by a straight east–west spur road to meet the A3 in a cutting to the south. The old Portsmouth Road passes by the River Thames in the northern end of the village, and the riverbank here is privately owned.

In both local economy and public transport, the high street and railway stations at Hinchley Wood and Surbiton are the nearest such amenities.

Royal Borough of Kingston upon Thames
The Royal Borough of Kingston upon Thames is a borough in southwest London. The main town is Kingston upon Thames and it includes Chessington, Malden Rushett, New Malden, Surbiton and Tolworth. It is the oldest of the four royal boroughs in England. The others are Windsor and Maidenhead, the site of Windsor Castle, and the London boroughs of Greenwich, and Kensington and Chelsea. The local authority is Kingston upon Thames London Borough Council.

The neighbouring districts (clockwise from north) are the London boroughs of Richmond upon Thames, Wandsworth, Merton and Sutton, and the Surrey districts of Epsom and Ewell, Mole Valley and Elmbridge.
2004 Gatorade 125s
The 2004 Gatorade 125s were a pair of NASCAR Nextel Cup Series held on Thursday, February 12, 2004, that were the qualifying races for that year's Daytona 500, the premier event of the 2004 NASCAR Nextel Cup Series. The pair of 50-lap races was held in Daytona Beach, Florida at Daytona International Speedway, a 2.5 miles (4.0 km) permanent triangular-shaped superspeedway. The first race was won by Dale Earnhardt Jr. of Dale Earnhardt, Inc., who held off the field after passing teammate Michael Waltrip on lap 36. The second race was won by Elliott Sadler of Robert Yates Racing.

Michael Waltrip
Michael Curtis "Mikey" Waltrip (born April 30, 1963) is an American former professional stock car racing driver, racing commentator, racing team owner, amateur ballroom dancing competitor and published author. He is the younger brother of three-time NASCAR champion and racing commentator Darrell Waltrip. Waltrip is a two-time winner of the Daytona 500, having won the race in 2001 and 2003. He is also a pre-race analyst for the NASCAR Cup Series and color commentator for the Xfinity Series and the Craftsman Truck Series broadcasts for Fox Sports. He last raced in the 2017 Daytona 500, driving the No. 15 Toyota Camry for Premium Motorsports. All four of his NASCAR Cup Series wins came on superspeedways driving for Dale Earnhardt Inc..
The Oxonian Review
The Oxonian Review is a literary magazine produced by the students at the University of Oxford. Every fortnight during term time, an online edition is published featuring reviews and essays on current affairs and literature, alongside creative work including photo essays, poetry, fiction and artwork. It is the largest university-wide postgraduate-student publication at the University of Oxford.

Literary magazine
A literary magazine is a periodical devoted to literature in a broad sense. Literary magazines usually publish a mix of fiction and non-fiction. Short stories and poetry are common literary forms published, but some magazines may publish serial literature—a novel which is revealed in sections over multiple issues. Non-fiction writing may be from staff of the literary magazine to make commentary about their magazine or about culture related to literature. Non-fiction from contributors may take the form of essays, literary criticism, book reviews, biographical profiles of authors, interviews, and letters. Literary magazines are often called literary journals (or little magazines) to contrast them with larger, commercial magazines.
2001–02 Wessex Football League
The 2001–02 Wessex Football League was the 16th season of the Wessex Football League. The league champions for the second time in their history, and the second consecutive season, were Andover. Runners-up Fleet Town were promoted back to the Southern League at the second attempt, but Swanage Town & Herston finished bottom and were relegated for the second time, the first being in 1996.

For sponsorship reasons, the league was known as the Jewson Wessex League.

Swanage Town & Herston F.C.
Swanage Town & Herston Football Club is a football club based in Swanage, Dorset, England. The club is affiliated to the Dorset County Football Association. They are currently members of the Dorset Premier League.
Benjamin Huger
Benjamin Huger is the name of several prominent men from South Carolina:

Benjamin Huger (American Revolution) (1746–1779), militia officer killed near Charleston

Benjamin Huger (congressman) (1768–1823), served in state and federal legislatures

Benjamin Huger (Confederate general) (1805–1877), Civil War Confederate general, veteran of the Mexican–American War

Benjamin Huger (general)
Benjamin Huger (November 22, 1805 – December 7, 1877) was a regular officer in the United States Army, who served with distinction as chief of ordnance in the Mexican–American War and in the American Civil War, as a Confederate general. He notably surrendered Roanoke Island and then the rest of the Norfolk, Virginia shipyards, attracting criticism for allowing valuable equipment to be captured. At Seven Pines, he was blamed by General James Longstreet for impeding the Confederate attack and was transferred to an administrative post after a lackluster performance in the Seven Days Battles.