hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Trace (linear algebra)
In linear algebra, the trace of a square matrix A, denoted tr(A), is the sum of the elements on its main diagonal, . It is only defined for a square matrix (n × n).

The trace of a matrix is the sum of its eigenvalues (counted with multiplicities). Also, tr(AB) = tr(BA) for any matrices A and B of the same size. Thus, similar matrices have the same trace. As a consequence, one can define the trace of a linear operator mapping a finite-dimensional vector space into itself, since all matrices describing such an operator with respect to a basis are similar.

The trace is related to the derivative of the determinant (see Jacobi's formula).

Square matrix
In mathematics, a square matrix is a matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order . Any two square matrices of the same order can be added and multiplied.

Square matrices are often used to represent simple linear transformations, such as shearing or rotation. For example, if  is a square matrix representing a rotation (rotation matrix) and  is a column vector describing the position of a point in space, the product  yields another column vector describing the position of that point after that rotation. If  is a row vector, the same transformation can be obtained using , where  is the transpose of .
Evolution (Baccara album)
Evolution is a studio album by the Spanish pop duo Baccara, and the first full-length release recorded by the lineup consisting of Cristina Sevilla and Helen de Quiroga. The album was officially released on 28 November 2025 through Team 33 Music, and became available both on digital streaming platforms and as a physical CD. Distribution of the CD edition was handled by ZYX Music.

Helen de Quiroga
Helena de Quiroga González (born December 14, 1964), known as Helen de Quiroga is a Spanish vocalist, studio backing singer, voice actress and musical theatre performer. She is known for her long-standing collaborations with prominent artists on the Spanish music scene, her work in dubbing productions, and her activity in musical theatre. Since 2022, she has been one of the vocalists of the pop duo Baccara.
Toyota Super Corollas
The Toyota Super Corollas were a multi-titled basketball team in the Philippine Basketball Association (PBA) from 1975 to 1984. Founded in 1975 by business and sportsman Dante Silverio, the team, formally named Toyota Athletic Club, was owned by Delta Motors Corporation (defunct) and played under various names: Komatsu Komets, Toyota Comets, Toyota Silver Tamaraws, Toyota Tamaraws, Toyota Superdiesels, Toyota Super Corollas and Toyota Silver Coronas.

The team won nine PBA championships, ranking sixth in league history, behind the San Miguel Beermen (29), Barangay Ginebra San Miguel (15), Purefoods franchise (14), Alaska Aces (14), and fierce rival Crispa Redmanizers (13).

Crispa Redmanizers
The Crispa Redmanizers were a multi-titled Filipino basketball team that played in the Philippine Basketball Association (PBA) from 1975 to 1984. It was one of the nine founding teams of the PBA, winning a total of thirteen PBA championships, including two grand slams. Founded in 1956 by businessman Valeriano "Danny" Floro, the team was owned by P. Floro and Sons, Inc. (defunct).
Meruda Takkar
Meruda Takkar is a landform located north of Khadir Bet in the Great Rann of Kutch, Kutch district, Gujarat, India. It has a presence of alkali feldspar syenite rocks which are of either Precambrian or Pre-Deccan Mesozoic plutonic origin. It is described as a hill, an island, an outcrop as well as a monadnock.

Khadir Bet
Khadir Bet is an island located in the Great Rann of Kutch in Gujarat, India. It spans around 200 square kilometers. It is known for its archaeological significance, particularly as the site of the ancient Indus Valley Civilization city of Dholavira, also a UNESCO world heritage site.

The term "Khadir" is derived from the Kutchi word "Khad", which translates to "grass". In 2022, a new 24.5 km road connecting Khadir Bet to Bhachau Taluka was sanctioned by the government, reducing travel distance and improving accessibility to the Dholavira World Heritage Site.
Mr. Hobbs Takes a Vacation
Mr. Hobbs Takes a Vacation is a 1962 American comedy film directed by Henry Koster and starring James Stewart and Maureen O'Hara. The film is based on the novel Mr. Hobbs' Vacation, by Edward Streeter and features Fabian, John Saxon, Marie Wilson and Reginald Gardiner.

Marie Wilson (American actress)
Marie Wilson (born Katherine Elizabeth Wilson; August 19, 1916 – November 23, 1972) was an American radio, film, and television actress. She may be best remembered as the title character in My Friend Irma.
Katamarayudu
Katamarayudu is a 2017 Indian Telugu-language action drama film directed by Kishore Kumar Pardasani. It stars Pawan Kalyan and Shruti Haasan while Tarun Arora, Siva Balaji, Ajay, Ali, Kamal Kamaraju, Chaitanya Krishna, Pradeep Rawat, Rao Ramesh, and Nassar appear in supporting roles. It is a remake of Tamil film Veeram (2014) directed by Siva.

The music was composed by Anup Rubens with cinematography by Prasad Murella and editing by Gautham Raju. The film released worldwide on 24 March 2017. The film was also dubbed in Malayalam under the same title.

Anup Rubens
Anup Rubens, born Enoch Rubens, is an Indian music composer and singer who predominantly works in Telugu cinema. He has received  a Filmfare Award, a Nandhi Award,  GAMA Awards and a SIIMA Award.

Rubens popular works include Gowtam SSC (2005), Prema Kavali (2011), Ishq (2012), Sukumarudu (2013), Gunde Jaari Gallanthayyinde (2013), Manam (2014), Gopala Gopala (2015), Temper (2015), Soggade Chinni Nayana (2016), Katamarayudu (2017), Nene Raju Nene Mantri (2017), Paisa Vasool (2017), 30 Rojullo Preminchadam Ela (2021), Drushyam 2 (2021) and Bangarraju (2022).
Fire It Up (Thousand Foot Krutch song)
"Fire It Up" is the third single released by the Canadian rock band Thousand Foot Krutch from their fifth studio album Welcome to the Masquerade. It charted at No. 18 on active rock charts, No. 35 on the Billboard rock charts and No. 5 on Christianrock.net. The song is used in numerous promotions by sports teams, race drivers and in movies

Welcome to the Masquerade
Welcome to the Masquerade is the fifth studio album by Canadian Christian rock band Thousand Foot Krutch. Returning to their earlier nu metal style inspired by Linkin Park, Welcome to the Masquerade features a refined version of the sound featured on second studio album Phenomenon. Released on September 8, 2009 by Tooth & Nail Records, the album entered the Billboard 200 at No. 35 and the Christian Album charts at No. 2.

Before its release, band frontman Trevor McNevan stated that "the new record is definitely more aggressive. In some areas, it's the heaviest we've ever been."
Het Rijnlands Lyceum Oegstgeest
Het Rijnlands Lyceum Oegstgeest (informally RLO) is a secondary school in the town of Oegstgeest in South Holland, founded in 1956.

Het Rijnlands Lyceum Oegstgeest is part of the Rijnlands Lyceum Foundation, which also contains other schools in the region, including the International School of The Hague and the European School of the Hague, and formerly the Rijnlands Lyceum Dubai. The school building was designed by Rudi Bleeker, and the newly built wing from 2004 was designed by Dirk Jan Postel.

RLO alumni include many significant Dutch political or public figures (Including Cabinet minister Jet Bussemaker and current Deputy Prime Minister of the Netherlands Kajsa Ollongren).

International School of The Hague
The International School of The Hague (often abbreviated as ISH), established in 1983, is an international primary and secondary school in the vicinity of Kijkduin, The Hague.

The school was originally located on Theo Mann-Bouwmeesterlaan in Duinzigt, where an Assisted living facility is now located. It moved to its current sight on Wijndaelerweg in Loosduinen in 2007. As of 2024, it has 2000 students, making it one of the largest International Schools in the Netherlands. The current primary school principle is Rubin Borges and the acting secondary school principle is Annette Sloan.
Holly Earl
Holly Earl (born 31 August 1992) is an English actress. She started her career as a child actor, in the television series Touching Evil (1997–1998), and may be best known for her recurring role in the first three seasons of Cuckoo (2012–2016), or her main cast roles in the series Beowulf (2016) and in the third season of Humans (2018).

Her films include Werner Herzog’s Queen of the Desert (2015), Once Upon a Time in London (2018) and her role as the 15-year-old version of a character played by Phyllis Logan in Last Train to Christmas (2021).

Touching Evil
Touching Evil is a British television drama serial following the exploits of a crack squad on the Organised & Serial Crime Unit, a rapid response police force that serves the entire country.

The serial was produced by United Productions for Anglia Television, and screened on the ITV network in 1997. It was created by Paul Abbott. The first season consists of six 50-minute (one-hour with advertisements) episodes written by Abbott with Russell T Davies. The popularity of the serial led to two sequel serials in 1998 and 1999, although not written by Abbott or Davies. The first episode aired on 29 April 1997, and the last on 6 June 1999, after 16 episodes and 3 series.

The serial stars Robson Green as D.I. Dave Creegan, with Nicola Walker co-starring as his colleague D.I. Susan Taylor. The third series was co-produced by Green's own independent production company Coastal Productions.
Dmitry Grigorovich (writer)
Dmitry Vasilyevich Grigorovich (Russian: Дми́трий Васи́льевич Григоро́вич) (31 March [O.S. 19 March] 1822 – 3 January 1900 [O.S. 22 December 1899]) was a Russian writer, best known for his first two novels, The Village and Anton Goremyka. He was lauded as the first author to have realistically portrayed the life of the Russian rural community and openly condemn the system of serfdom.

Anton Goremyka
Anton-Goremyka (Russian: Антон-горемыка, Luckless Anton) is a novel by Dmitry Grigorovich, first published by Sovremennik, in 1847, vol. 6, issue XI. In retrospect it is regarded as arguably the strongest anti-serfdom statement in the Russian literature of its time.
Hiraka, Akita
Hiraka (平鹿町, Hiraka-machi) was a town located in Hiraka District, Akita Prefecture, Japan.

In 2003, the town had an estimated population of 14,394 and a density of 227.32 persons per km2. The total area was 63.32 km2.

On October 1, 2005, Hiraka, along with the towns of Jūmonji, Masuda, Omonogawa and Ōmori; and the villages of Sannai and Taiyū (all from Hiraka District), was merged into the expanded city of Yokote.

Ōmori, Akita
Ōmori (大森町, Ōmori-machi) was a town located in Hiraka District, Akita Prefecture, Japan.

In 2003, the town has an estimated population of 7,757 and a density of 75.88 persons per km2. The total area was 102.23 km2.

On October 1, 2005, Ōmori, along with the towns of Hiraka, Jūmonji, Masuda and Omonogawa; and the villages of Sannai and Taiyū (all from Hiraka District), was merged into the expanded city of Yokote.
Advanced Technology Development Center
The Advanced Technology Development Center (ATDC) is a science and business incubator in Georgia, United States. It is part of the Enterprise Innovation Institute (EI2) at the Georgia Institute of Technology, and is headquartered in Technology Square, Atlanta.

Technology Square (Atlanta)
Technology Square, commonly called Tech Square, is a multi-block neighborhood located in Midtown Atlanta, Georgia, United States. Tech Square is bounded by 8th Street on the north, 3rd Street on the south, West Peachtree Street to the east, and Williams Street to the west. Tech Square includes several academic buildings affiliated with Georgia Tech and provides access to the campus via the Fifth Street Pedestrian Plaza Bridge, reconstructed in 2007. It also contains restaurants, retail shops, condominiums, office buildings, and a hotel.
Jon Henrik Fjällgren
Jon Henrik Mario Fjällgren (born 26 April 1987) is a Colombian-born Swedish-Sámi singer and jojkare, an interpreter of Sámi joik. He was the winner of Talang Sverige 2014, the Swedish version of Got Talent. Upon winning the competition he released the music album Goeksegh. He has participated in Melodifestivalen four times, in 2015 he placed second, in 2017 he placed third, and in 2019 and 2023 he placed fourth.

Fjällgren has been a member of the Sámi Parliament of Sweden since the 2021 election. He represents the political party Sámit.

Talang Sverige 2014
Talang Sverige 2014 was the sixth season of Talang Sverige (previously named Talang), the Swedish version of Got Talent, as well as the show's first season under the name "Talang Sverige". It was broadcast between February 24, 2014, and May 18, 2014. It was the first season aired on TV3. June 19, 2013, following a two-year hiatus, TV3 announced that they had acquired the rights for the show and would broadcast the show in 2014. The show took place in larger arenas than previous seasons, allowing things like motor vehicles and bigger animals on the stage. Joik singer Jon Henrik Fjällgren was declared winner and walked away with 1 million SEK.
Shane Vanderson
Shane Vanderson (born May 26, 1981) is a retired professional racquetball player. Vanderson was the International Racquetball Tour's (IRT's) Archived 2018-11-27 at the Wayback Machine #5 player at the end of three seasons: 2006-07, 2007–08, 2009-10. Vanderson finished in the IRT's top 10 for ten consecutive seasons. A native of Ohio, Vanderson was known for having one of the best backhands in racquetball.

Chris Crowther
Chris Crowther (born November 6, 1978) is a professional racquetball player. Crowther was the #5 player on the  International Racquetball Tour at the end of the 2010–11 season, which was a career high and the sixth season he'd finished in the IRT's top 10 players. A California native, Crowther is the tallest player on the IRT and known for his strong drive serve and hard hitting playing style.
Untold Scandal
Untold Scandal (Korean: 스캔들 - 조선 남녀 상열지사; lit. Scandal: The Love Story of Men and Women in Joseon) is a 2003 South Korean historical romantic drama film directed by E J-yong, and starring Lee Mi-sook, Jeon Do-yeon, and Bae Yong-joon. Loosely based on the 1782 French novel Les Liaisons dangereuses, this adaptation takes place in late 18th century Korea, during the Joseon dynasty.

In South Korea, the film was given an R-18 rating by the Korean Film Ethics Commission. The film was a major commercial success, and became the fourth-highest-grossing domestic film of 2003 with 3,522,747 tickets sold nationwide.

Bae Yong-joon
Bae Yong-joon (Korean: 배용준; Hanja: 裵勇浚; born August 29, 1972) is a South Korean businessman and former actor. He has starred in numerous television dramas, including, notably, Winter Sonata (2002), which became a major part of the Korean Wave. Bae retired from acting after 2007, but remains active as the chairman of management agency KeyEast.
Methionyl-tRNA formyltransferase
In enzymology, a methionyl-tRNA formyltransferase (EC 2.1.2.9) is an enzyme that catalyzes the chemical reaction

10-formyltetrahydrofolate + L-methionyl-tRNAfMet + H2O  tetrahydrofolate + N-formylmethionyl-tRNAfMet

This enzyme belongs to the family of transferases that transfer one-carbon groups, specifically the hydroxymethyl-, formyl- and related transferases.  The systematic name of this enzyme class is 10-formyltetrahydrofolate:L-methionyl-tRNA N-formyltransferase.  This enzyme participates in three metabolic pathways: methionine metabolism, one carbon pool by folate, and aminoacyl-tRNA biosynthesis.

N-Formylmethionine
N-Formylmethionine (fMet, HCO-Met, For-Met) is a derivative of the amino acid methionine in which a formyl group has been added to the amino group. It is specifically used for initiation of protein synthesis from bacterial and organellar genes, and may be removed post-translationally.

fMet plays a crucial part in the protein synthesis of bacteria, mitochondria and chloroplasts. It is not used in cytosolic protein synthesis of eukaryotes, where eukaryotic nuclear genes are translated.  It is also not used by Archaea.  In the human body, fMet is recognized by the immune system as foreign material, or as an alarm signal released by damaged cells,  and stimulates the body to fight against potential infection.
Jack Jones (Welsh musician)
Jack Jones (born 14 February 1992) is a Welsh musician, songwriter, poet and author.

His debut solo album Jack Jones was released 20 September 2024 featuring the single 'Breathe'. It reached number 3 in the Independent Breakers Chart, 13 in the Independent Albums chart and was awarded Album of the Week in Louder Than War. He is the lead vocalist and guitarist in the alternative rock band Trampolene, and is also the guitarist in Peter Doherty and the Puta Madres and Peter Doherty's 2025 touring band. Jones is also known for his spoken word poetry, being the subject of a BBC Radio 4 documentary titled "Another Swansea Poet" broadcast in 2019.

Jones' first novel Swansea to Hornsey was published by Strap Originals on 17 November 2023.

He was born in Swansea and currently lives between London, Berlin and Swansea.

Trampolene (band)
Trampolene are a Welsh alternative rock band formed in Swansea in 2013. They are Jack Jones (vocals, guitar, spoken word), Wayne Thomas (bass, vocals) and Kyle "Mr" Williams (drums, piano, violin, vocals).

Trampolene have achieved two number one UK Official Album Breakers Chart albums, and reached the top ten in the Official Independent Chart several times.

The band have toured the UK extensively, including sold out shows at the iconic 100 Club and Scala in London, Deaf Institute, Manchester and Clwb Ifor Bach in Cardiff. They have played shows in Europe including Paris, Berlin, Amsterdam and Milan.

On 25 February 2022 Trampolene headlined and sold out the opening of Swansea Arena, and released their show as a live album entitled Live from Swansea Arena.
Rajkumar Sethupathi
Rajkumar Sethupathy is an Indian actor who acts predominantly in Malayalam and Tamil films. He has acted in 50 movies in both Malayalam and Tamil films. He started his film career in the Tamil film Soolam, directed by M. Bhaskar, then with Mammootty in Thrishna, a 1981 Malayalam film. He acted in many films during the 1980s.

Soolam
Soolam (transl. Trident) is a 1980 Indian Tamil-language film produced, directed and written by M. Bhaskar. The film stars Rajkumar and Radhika, with Sudheer, Pushpalatha, Thengai Srinivasan and Manorama in supporting roles. It was released on 12 December 1980.
Axis Communications
Axis Communications AB is a Swedish manufacturer of network cameras, access control, and network audio devices for the physical security and video surveillance industries. Since 2015, it operates as an independent subsidiary of Canon Inc.

Canon Inc.
Canon Inc. (Japanese: キヤノン株式会社; Hepburn: Kyanon kabushiki gaisha) is a Japanese multinational corporation headquartered in Ōta, Tokyo, specializing in optical, imaging, and industrial products, such as lenses, cameras, police equipment , scanners, printers, and semiconductor manufacturing equipment.

Canon has a primary listing on the Tokyo Stock Exchange and is a constituent of the TOPIX Core 30 and Nikkei 225 indexes. It used to have a secondary listing on the New York Stock Exchange.
E. J. Woods
Edward John Woods F.R.I.B.A. (1839 – 5 January 1916) was a prominent architect in the early days of the colony of South Australia. He is known for being a co-founder of the large international architectural practice of Woods Bagot, and for designing a number of prominent civic buildings in Adelaide, including Parliament House, the General Post Office, and what is now the Mortlock Chamber in the State Library of South Australia. He was also responsible for much of the design detail of St Peter's Cathedral, based on original plans by English architect William Butterfield.

Parliament House, Adelaide
Parliament House, on the corner of North Terrace and King William Road in the Adelaide city centre, is the seat of the Parliament of South Australia. It was built to replace the adjacent and overcrowded Parliament House, now referred to as "Old Parliament House".  Due to financial constraints, the current Parliament House was constructed in stages over 65 years from 1874 to 1939.

Guided public tours of the building are held on weekdays at 10am and 2pm, except when the Parliament is sitting.
J. D. Lifshitz
Jordan David Lifshitz (born October 13, 1992) is an American film producer. In addition to co-founding production company BoulderLight Pictures, Lifshitz is best known for producing films including Becky, Companion, Barbarian, Woman of the Hour and Weapons.

Barbarian (2022 film)
Barbarian is a 2022 American horror film written and directed by Zach Cregger in his solo screenwriting and directorial debut. It is produced by Arnon Milchan, Roy Lee, Raphael Margules, and J. D. Lifshitz. The film stars Georgina Campbell, Bill Skarsgård, and Justin Long. The story follows a woman who rents a house on Airbnb and discovers a dark secret inside.

Barbarian premiered at San Diego Comic-Con on July 22, 2022, and was theatrically released in the United States on September 9, 2022, by 20th Century Studios. The film received positive reviews from critics and grossed $45 million worldwide against a budget of about $4 million.
Jackson Heights (TV series)
Jackson Heights (Urdu: جیکسن ہائیٹس) is a 2014 Pakistani light comedy-drama serial that follows the lives of overseas Pakistanis and Indians living in the Jackson Heights neighborhood of New York City in Queens. It is directed by Mehreen Jabbar, written by Vasay Chaudhry and produced by Humayun Saeed and Shehzad Nasib. The serial features an ensemble cast including Marina Khan, Adeel Hussain, Aamina Sheikh, Noman Ejaz, Ali Kazmi, Adnan Jaffar, Naghma and Neelofar Abbasi.

The plot of the serial revolves around six expatriates working in Jackson Heights in New York City.

Neelofar Abbasi
Neelofar Abbasi (née Aleem) is a Pakistani actress. She is known for her roles in dramas Happy Eid Mubarak, Khumaar Zeher Alood, Aroosa, Naya Raasta and Eid Ka Jora. Neelofar is best known for her role in the drama Shehzori as Tara.
Thomas Lewinski
Thomas Lewinski (abt. 1800—September 18, 1882) was an architect in Kentucky, United States. Born in England, he immigrated to the United States. For his work at Allenhurst and elsewhere, Lewinski was known in his day as one of the leading architects of the Greek Revival style.  He designed many architecturally significant buildings that survive and are listed on the United States National Register of Historic Places.

Allenhurst (Scott County, Kentucky)
Allenhurst, also known as Oakland, is an historic site located in Scott County, Kentucky west of Georgetown on Cane Run Pike.  The Greek Revival house, designed by Thomas Lewinski, was built in 1850. The property was added to the U.S. National Register of Historic Places on April 2, 1973.
Nam Na-yeong
Nam Na-yeong (Korean: 남나영; born 1970) is a South Korean film editor and negative cutter. She has edited films with directors Ryoo Seung-wan (Arahan, The City of Violence, and  Crying Fist), Kim Jee-woon (The Good, the Bad, the Weird and I Saw the Devil), and Kang Hyeong-cheol (Scandal Makers, Sunny, and Tazza: The Hidden Card). As of 2020, Nam has edited more than 60 films.

Crying Fist
Crying Fist (Korean: 주먹이 운다; RR: Jumeogi unda) is a 2005 South Korean sports drama film written and directed by Ryoo Seung-wan. It stars Choi Min-sik and Ryoo Seung-bum as two desperate men, a washed-up former boxing champion and a troubled youth respectively, who face off in a high-stakes tournament that could change their lives. The film screened in the Directors' Fortnight section of the 2005 Cannes Film Festival.