hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Reprojection error
The reprojection error is a geometric error corresponding to the image distance between a projected point and a measured one. It is used to quantify how closely an estimate of a 3D point  recreates the point's true projection . More precisely, let  be the projection matrix of a camera and  be the image projection of , i.e. . The reprojection error of  is given by , where  denotes the Euclidean distance between the image points represented by vectors  and .

Minimizing the reprojection error can be used for estimating the error from point correspondences between two images. Suppose we are given 2D to 2D point imperfect correspondences . We wish to find a homography  and pairs of perfectly matched points  and , i.e. points that satisfy  that minimize the reprojection error function given by

So the correspondences can be interpreted as imperfect images of a world point and the reprojection error quantifies their deviation from the true image projections

Camera matrix
In computer vision a camera matrix or (camera) projection matrix is a  matrix which describes the mapping of a pinhole camera from 3D points in the world to 2D points in an image.

Let  be a representation of a 3D point in homogeneous coordinates (a 4-dimensional vector), and let  be a representation of the image of this point in the pinhole camera (a 3-dimensional vector). Then the following relation holds

where  is the camera matrix and the  sign implies that the left and right hand sides are equal except for a multiplication by a non-zero scalar :

Since the camera matrix    is involved in the mapping between elements of two projective spaces, it too can be regarded as a projective element. This means that it has only 11 degrees of freedom since any multiplication by a non-zero scalar results in an equivalent camera matrix.
Richter Brewery
The Richter Brewery, also known as the Delta Building, is a commercial building located at 1615 Ludington Street in Escanaba, Michigan.  It was listed on the National Register of Historic Places in 2009.

Escanaba, Michigan
Escanaba (/ˌɛskəˈnɑːbə/ ES-kə-NAH-bə), commonly shortened to Esky, is a port city in and the county seat of Delta County in the U.S. state of Michigan, located on Little Bay de Noc in the state's Upper Peninsula. The population was 12,450 at the 2020 census, making it the third-largest city in the Upper Peninsula after Marquette and Sault Ste. Marie.

There is also Escanaba Township, which is north of the city and is not adjacent to it, although a portion of the urban area around the city extends into the township. Both are named for the Escanaba River, which flows into the Little Bay de Noc of Lake Michigan just north of the city. The names are derived from the Ojibwa language.
Russian Braille
Russian Braille is the braille alphabet of the Russian language. With suitable extensions, it is used for languages of neighboring countries that are written in Cyrillic in print, such as Ukrainian and Mongolian. It is based on the Latin transliteration of Cyrillic, with additional letters assigned idiosyncratically. In Russian, it is known as the Braille Script.

Yat
Yat or jat (Ѣ ѣ; italics: Ѣ ѣ) is the thirty-second letter of the old Cyrillic alphabet.

There is also another version of yat, the iotated yat (majuscule: ⟨Ꙓ⟩, minuscule: ⟨ꙓ⟩), which is a Cyrillic character combining a decimal I and a yat. There was no numerical value for this letter and it was not in the Glagolitic alphabet. It is encoded in Unicode 5.1 at positions U+A652 and U+A653.
Sporting TV
Sporting TV is the television channel of Sporting Clube de Portugal. In open signal, the channel is present in the operators MEO, NOS, Vodafone and Nowo. The channel broadcasts live Sporting games at home in the Academia Sporting and in Pavilhão João Rocha.

Academia Cristiano Ronaldo
The Academia Cristiano Ronaldo (English: Cristiano Ronaldo Academy), formerly known as Academia Sporting (English: Sporting Academy) and also known as Academia de Alcochete (English: Alcochete Academy), is the name given to the football training facilities of Sporting Clube de Portugal (Sporting CP or Sporting Lisbon), located outside Alcochete, in Setúbal District, Portugal. It includes the Sporting CP Youth Academy which helped to develop footballers such as Luis Figo and Cristiano Ronaldo from a young age. Both Sporting CP B, the reserve men's football team of Sporting CP's main squad, and the main Sporting CP women's football team, play their home matches at the Estádio Aurélio Pereira (named after long-serving Sporting CP's head youth player scout Aurélio Pereira) in the Academia Cristiano Ronaldo, which holds a seating capacity of 1,180.
Channel 7 TV stations in Canada
The following television stations broadcast on digital or analog channel 7 in Canada:

CFCN-TV-2 in Banff, Alberta

CFJC-TV-11 in Quesnel, British Columbia

CFTF-DT-7 in Sept-Îles, Quebec

CHAU-DT-6 in Gaspé, Quebec

CHLT-DT in Sherbrooke, Quebec

CIII-DT-7 in Midland, Ontario

CISA-DT in Lethbridge, Alberta

CKY-DT in Winnipeg, Manitoba

CHAN-DT
CHAN-DT (channel 8), branded Global British Columbia or Global BC (formerly British Columbia Television or BCTV), is a television station in Vancouver, British Columbia, Canada, serving as the West Coast flagship of the Global Television Network, a division of Corus Entertainment. The station has studios on Enterprise Street (across from the Lake City Way SkyTrain station) in the suburban city of Burnaby, which also houses Global's national news headquarters. Its transmitter is located atop Mount Seymour in the district municipality of North Vancouver.
Capacitor-input filter
A capacitor-input filter is a filter circuit in which the first element is a capacitor connected in parallel with the output of the rectifier in a linear power supply. The capacitor increases the DC voltage and decreases the ripple voltage components of the output. The capacitor is often referred to as a smoothing capacitor or reservoir capacitor. The capacitor is often followed by other alternating series and parallel filter elements to further reduce ripple voltage, or adjust DC output voltage.  It may also be followed by a voltage regulator which virtually eliminates any remaining ripple voltage, and adjusts the DC voltage output very precisely to match the DC voltage required by the circuit.

Voltage regulator
A voltage regulator is a system designed to automatically maintain a constant voltage. It may use a simple feed-forward design or may include negative feedback. It may use an electromechanical mechanism or electronic components. Depending on the design, it may be used to regulate one or more AC or DC voltages.

Electronic voltage regulators are found in devices such as computer power supplies where they stabilize the DC voltages used by the processor and other elements. In automobile alternators and central power station generator plants, voltage regulators control the output of the plant. In an electric power distribution system, voltage regulators may be installed at a substation or along distribution lines so that all customers receive steady voltage independent of how much power is drawn from the line.
2010 Delray Beach International Tennis Championships
The 2010 Delray Beach International Tennis Championships was a tennis tournament played on outdoor hard courts. It was the 18th edition of the Delray Beach International Tennis Championships, and was part of the International Series of the 2010 ATP World Tour. It took place at the Delray Beach Tennis Center in Delray Beach, Florida, United States, from February 22 through February 28, 2010. Unseeded Ernests Gulbis won the singles title.

Delray Beach Open
The Delray Beach Open is an ATP 250 professional tennis tournament held annually in Delray Beach, Florida, United States, on hardcourts.

It was previously known as America's Red Clay Championships, Citrix Tennis Championships,  and the Delray Beach International Tennis Championships (ITC). The event was held in Coral Springs from 1993 to 1998; in 1999, it was relocated to the Delray Beach Tennis Center. American Todd Martin won the tournament's first singles event in 1993. The tournament was renamed to its current name in 2014.
Schwingen
Schwingen (from German schwingen "to swing"), also known as Swiss wrestling (French lutte Suisse) and natively (and colloquially) as Hosenlupf (Swiss German for "breeches-lifting"), is a style of folk wrestling native to Switzerland, more specifically the pre-alpine parts of German-speaking Switzerland. Wrestlers wear Schwingerhosen ("wrestling breeches") with belts that are used for taking holds. Throws and trips are common because the first person to pin their opponent's shoulders to the ground wins the bout.

Schwingen is considered a "national sport" of Switzerland, alongside Hornussen and Steinstossen. Schwingen and Steinstossen were included as Nationalturnen ("national gymnastics") in the Eidgenössisches Turnfest at Lausanne in 1855.

The modern history of organized Schwingen tournaments begins with the Unspunnenfest of 1805.

Hornussen
Hornussen is an indigenous Swiss sport played by two teams of 16 to 20 players which alternate in striking a puck known as a "Hornuss" (hornet) or "Nouss" and attempting to deflect it. When hit, the Hornuss can fly at up to 300 km/h (186.4 mph) and create a buzzing sound.  Outside of Switzerland, there are few teams.
Marvel Heroes Reborn
Marvel Heroes Reborn was a British comic book series which was a part of the Marvel UK's 'Collector's Edition' line. It was published by Panini Comics and reprinted Marvel Comics from the United States. The title printed Fantastic Four, Iron Man, the Hulk, and before the series ended Avengers comics. This line began in September 1997, after Panini Comics had successfully  published Astonishing Spider-Man, Essential X-Men and Wolverine Unleashed (now Wolverine and Deadpool). The series ended in 2000 at #42, due to an "overcrowded market". The comic was initially priced at £1.99 when it was released, but over the years rose to £2.30. A year later Avengers United took its place on the shelves.

The Astonishing Spider-Man
The Astonishing Spider-Man was a comic book series published fortnightly in the United Kingdom by Panini Comics as part of Marvel UK's 'Collectors Edition' line. It reprinted selected Spider-Man stories and material from the American comic books.
Metallarcha achoeusalis
Metallarcha achoeusalis is a moth in the family Crambidae. It was described by Francis Walker in 1859. It is found in Australia.

The markings of the forewings are similar to Metallarcha eurychrysa, but the pale yellow is replaced by deep orange. The hindwings are deep orange with a dark fuscous hindmarginal band.

Metallarcha eurychrysa
Metallarcha eurychrysa is a moth in the family Crambidae. It was described by Edward Meyrick in 1884. It is found in Australia, where it has been recorded from South Australia, New South Wales and Western Australia.
Velké Bílovice
Velké Bílovice (Czech pronunciation: [ˈvɛlkɛː ˈbiːlovɪtsɛ]) (German: Groß Billowitz) is a town in Břeclav District in the South Moravian Region of the Czech Republic. It has about 3,900 inhabitants. The town and its surroundings is known for viticulture.

Czech wine
Wine in the Czech Republic is produced mainly in southern Moravia, although a few vineyards are located in Bohemia. However, Moravia accounts for around 96% of the country's vineyards, which is why Czech wine is more often referred to as Moravian wine.  Production centers on local grape varieties, but there has been an increase in the production of established international strains such as Cabernet Sauvignon.

The history of Czech wine can be traced back to the Roman Empire's rule in the 2nd century.
Pavel Alexandrov
Pavel Sergeyevich Alexandrov (Russian: Па́вел Серге́евич Алекса́ндров), sometimes romanized Paul Alexandroff (7 May 1896 – 16 November 1982), was a Soviet mathematician. He wrote roughly three hundred papers, making important contributions to set theory and topology. In topology, the Alexandroff compactification and the Alexandrov topology are named after him.

Continuum hypothesis
In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states:

There is no set whose cardinality is strictly between that of the integers and the real numbers.

In Zermelo–Fraenkel set theory with the axiom of choice (ZFC), this is equivalent to the following equation in aleph numbers: , or even shorter with beth numbers: .

The continuum hypothesis was advanced by Georg Cantor in 1878, and establishing its truth or falsehood is the first of Hilbert's 23 problems presented in 1900. The answer to this problem is independent of ZFC, so that either the continuum hypothesis or its negation can be added as an axiom to ZFC set theory, with the resulting theory being consistent if and only if ZFC is consistent. This independence was proved in 1963 by Paul Cohen, complementing earlier work by Kurt Gödel in 1940.

The name of the hypothesis comes from the term continuum for the real numbers.
Mount Mohl
Mount Mohl (78°33′S 85°5′W﻿ / ﻿78.550°S 85.083°W﻿ / -78.550; -85.083) is a mountain, 3,710 metres (12,170 ft) high, at the east side of Vinson Massif, surmounting the ridge between the heads of Dater Glacier and Thomas Glacier, in the Sentinel Range of the Ellsworth Mountains, Antarctica. It is connected to Doyran Heights to the northeast by Goreme Col.

The peak was first mapped by the United States Geological Survey from surveys and U.S. Navy air photos from 1957 to 1959, and was named by the Advisory Committee on Antarctic Names for Commander Edgar A. Mohl, U.S. Navy, who was a hydrographic officer on the staff of the Commander, U.S. Navy Task Force 43, during Deep Freeze Operations I and II in 1955–56 and 1956–57.

Doyran Heights
Doyran Heights (Bulgarian: Дойрански възвишения, romanized: Doyranski Vazvisheniya, IPA: [ˈdɔjrɐnski vɐzviˈʃɛnijɐ]) are the heights rising to 3473 m at Mount Tuck in the east foothills of Vinson Massif and Craddock Massif in Sentinel Range, Ellsworth Mountains in Antarctica, extending 30.8 km in north–south direction and 16.5 km in east–west direction.  They are bounded by Thomas Glacier to the south and southwest, Dater Glacier and Hansen Glacier to the northwest and north, and Sikera Valley to the east, linked to Craddock Massif to the west by Goreme Col, and separated from Veregava Ridge to the north by Manole Pass and from Flowers Hills to the northeast by Kostinbrod Pass. Their interior is drained by Guerrero, Hough, Remington and Obelya Glaciers.

The heights are named after the settlements of Doyrantsi in Northeastern and Southern Bulgaria.
2025 Copa Sevilla
The 2025 Copa Sevilla was a professional tennis tournament played on clay courts. It was the 27th edition of the tournament which was part of the 2025 ATP Challenger Tour. It took place in Seville, Spain between 1 and 6 September 2025.

Copa Sevilla
The Copa Sevilla is a professional tennis tournament played on outdoor clay courts. It is part of the Association of Tennis Professionals (ATP) Challenger Tour since 1991. It is held annually at the Real Club de Tenis Betis in Seville, Spain since 1963. It became a Challenger 125 event in September 2023, on its 60th anniversary.
1994 UNLV Rebels football team
The 1994 UNLV Rebels football team was an American football team that represented the University of Nevada, Las Vegas (UNLV) as a member of the Big West Conference during the 1994 NCAA Division I-A football season. In their first year under head coach Jeff Horton, the Rebels compiled an overall record of 7–5 with a mark of 5–1 in conference play, sharing the Big West title with Nevada and Southwestern Louisiana. UNLV earned a berth in the Las Vegas Bowl, where the Rebels defeated Central Michigan. The team played home games at Sam Boyd Stadium in Whitney, Nevada.

1994 Nevada Wolf Pack football team
The 1994 Nevada Wolf Pack football team represented the University of Nevada, Reno during the 1994 NCAA Division I-A football season. Nevada competed as a member of the Big West Conference (BWC). The Wolf Pack were led by Chris Ault in his 18th overall and 1st straight season since taking over as head coach for the second time. They played their home games at Mackay Stadium.
Gliese 176 b
Gliese 176 b is a super-Earth exoplanet approximately 31 light years away in the constellation of Taurus. This planet orbits very close to its parent red dwarf star Gliese 176 (also called "HD 285968").

The initial announcement confused the planetary periodicity with the stellar periodicity of 40 days, thus giving a 10.24 day period for a 25 Earth-mass planet. Subsequent readings filtered out the star's rotation, giving a more accurate reading of the planet's orbit and minimum mass.

The planet orbits inside the inner magnetosphere of its star. The quoted temperature of 450 K is a "thermal equilibrium" temperature.

It is projected to be dominated by a rocky core, but the true mass is unknown. If the orbit is oriented such that we are viewing it at a nearly face-on angle, the planet may be significantly more massive than the lower limit. If so, it may have attracted a gas envelope like Uranus or Gliese 436 b.

Super-Earth
A super-Earth is a type of exoplanet with a mass higher than Earth's, but substantially below those of the Solar System's ice giants, Uranus and Neptune, which are 14.5 and 17.1 times Earth's mass respectively. The term "super-Earth" refers only to the mass of the planet, and so does not imply anything about the surface conditions or habitability. The alternative term "gas dwarfs" may be more accurate for those at the higher end of the mass scale, although "mini-Neptunes" is a more common term.
Valerie Beddoe
Valerie Jane Beddoe, AM (née McFarlane, born 15 October 1960) is an Australian former diver who competed in the 1980 and 1984 Summer Olympics, and in three Commonwealth Games. She won a gold medal in the 10m platform at the 1982 Commonwealth Games, having taken silver in the event in 1978. In her title defence in 1986, she came second behind Canada's Debbie Fuller to claim her second Commonwealth silver medal.

Awarded the Australian Sports Medal in 2000, Beddoe was appointed a Member of the Order of Australia in 2001 in recognition of her "service to diving as a competitor, coach and administrator."

Australian Sports Medal
The Australian Sports Medal is an award given to recognise achievements in Australian sport to commemorate Australian participation in major sporting events. Original recipients of the award included competitors, coaches, sports scientists, office holders, and people who maintained sporting facilities and services. During the original period of its award in 2000–2001, over 18,000 medals were awarded. The award was permanently reactivated in 2020 to commemorate Australian contributions and participation in major multi-sport events.
Mespirenone
Mespirenone (INN; developmental code ZK-94679; also known as Δ1-15β,16β-methylenespironolactone) is a steroidal antimineralocorticoid of the spirolactone group related to spironolactone that was never marketed. Animal research found that it was 3.3-fold more potent as an antimineralocorticoid relative to spironolactone. In addition to its antimineralocorticoid properties, mespirenone is also a progestogen, antigonadotropin, and antiandrogen. It is 2- to 3-fold as potent as spironolactone as a progestogen and antigonadotropin but its antiandrogenic activity is markedly reduced and weak (though still of significance) in comparison. Mespirenone is also a potent and specific enzyme inhibitor of 18-hydroxylase and thus of mineralocorticoid biosynthesis. The drug was under development by Schering (now Bayer Schering Pharma) and reached phase II clinical trials but was discontinued in 1989.

Mineralocorticoid receptor antagonist
A mineralocorticoid receptor antagonist (MRA or MCRA) or aldosterone antagonist, is a diuretic drug which antagonizes the action of aldosterone at mineralocorticoid receptors. This group of drugs is often used as adjunctive therapy, in combination with other drugs, for the management of chronic heart failure. Spironolactone, the first member of the class, is also used in the management of hyperaldosteronism (including Conn's syndrome) and female hirsutism (due to additional antiandrogen actions). Most antimineralocorticoids, including spironolactone, are steroidal spirolactones. Finerenone is a nonsteroidal antimineralocorticoid.
Trampette
A trampette is a small square trampoline used in gymnastics. In TeamGym, the trampette is positioned at the end of a runway in front of a mat. The trampette is adjusted at an angle, tilted towards the gymnast, who approaches the trampette at a run. The gymnast jumps onto the trampette and performs a somersault, landing on the mat. Part of the TeamGym trampette program is performed with a vaulting apparatus, which is positioned between the trampette and the mat.

TeamGym
TeamGym is a form of competition created by the European Union of Gymnastics. The first official competition was held in Finland in 1996. Originally named EuroTeam, TeamGym received its current name in 2002. From 1996 to 2008, the European Championships was an event for clubs; since 2010 the competition is contested with national teams representing different countries. TeamGym events consist of three sections: women, men and mixed teams. Gymnasts perform skills in three different disciplines: floor, tumbling and trampette. In common for the performance is effective teamwork, good technique in the elements and spectacular acrobatic skills.

A variation of the sport in the United States is governed by USA Gymnastics under the Gymnastics for All (GfA) discipline.
Itaquai River
The Itaquai River is a river of the upper Amazon Basin. It forms the eastern boundary of Atalaia do Norte municipality in the Amazonas state of north-western Brazil. Its main tributary is the Rio Branco. Downstream it joins the Ituí River to form the upper Solimões.

Solimões River
Solimões (Portuguese pronunciation: [soliˈmõjs]) is the name often given to upper stretches of the Amazon River in Brazil from its confluence with the Rio Negro upstream to the border of Peru. The Solimões flows for about 1,600 km (1,000 miles) through a floodplain about 80 km (50 miles) wide.
Territorial evolution of New Mexico
The area currently occupied by the U.S. State of New Mexico has undergone numerous changes in occupancy and territorial claims and designations. This geographic chronology traces the territorial evolution of New Mexico.

Arkansas Territory
The Arkansas Territory was a territory of the United States from July 4, 1819, to June 15, 1836, when the final extent of Arkansas Territory was admitted to the Union as the State of Arkansas. Arkansas Post was the first territorial capital (1819–1821) and Little Rock was the second (1821–1836).
Oaks Christian School
Oaks Christian School (OCS) is a co-educational, college-preparatory, non-denominational Christian school serving students TK–12. Oaks Christian School is located on 25 acres (10 ha) in Westlake Village, Los Angeles County, California. The school was established in 2000. As of the 2024–25 school year, total student enrollment was approximately 1,725 students. Approximately 65% of these students are enrolled in high school (grades 9–12), while the remainder comprise the middle school population (grades 4–8).

Westlake Village, California
Westlake Village is a city in Los Angeles County, California, on its western border with Ventura County. Upon its incorporation in 1981, Westlake Village became the 82nd municipality of Los Angeles County. The population of the city was 8,029 at the 2020 census, down from 8,270 at the 2010 census.

The city is named after the master-planned community surrounding Westlake Lake. With the lake at the center, the community straddles the line between Los Angeles and Ventura counties. Roughly two-thirds of the community is in the Ventura County city of Thousand Oaks.