hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Compression (functional analysis)
In functional analysis, the compression of a linear operator T on a Hilbert space to a subspace K is the operator

,

where  is the orthogonal projection onto K. This is a natural way to obtain an operator on K from an operator on the whole Hilbert space. If K is an invariant subspace for T, then the compression of T to K is the restricted operator K→K sending k to Tk.

More generally, for a linear operator T on a Hilbert space  and an isometry V on a subspace  of , define the compression of T to  by

,

where  is the adjoint of V. If T is a self-adjoint operator, then the compression  is also self-adjoint.
When V is replaced by the inclusion map , , and we acquire the special definition above.

Isometry
In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective. The word isometry is derived from the Ancient Greek: ἴσος isos meaning "equal", and μέτρον metron meaning "measure". If the transformation is from a metric space to itself, it is a kind of geometric transformation known as a motion.
Diana Ürge-Vorsatz
Diana Ürge-Vorsatz is a Hungarian scientist. She is a Vice-Chair of the Intergovernmental Panel on Climate Change, and professor of Environmental Sciences at Central European University. She was the Director of the Center for Climate Change and Sustainable Energy Policy. She has published widely on environmental and energy studies, primarily climate change mitigation.

Ürge-Vorsatz was a coordinating lead author of both the Fourth and Fifth Assessment Reports (AR4 and AR5) of the Nobel Peace Prize-winning Intergovernmental Panel on Climate Change.

Energy Studies Institute
The Energy Studies Institute (ESI) is an independent research institute within the National University of Singapore. The ESI's research and analyses focus on the areas of Energy Economics, Energy Security and Energy and the Environment.
Trent Copeland (lawyer)
Trent Copeland (born December 24) is an American trial lawyer.

Copeland received a bachelor's degree from Dartmouth College and a Juris Doctor (J.D.) from George Washington University Law School. Copeland represented Shannen Doherty in her arrest for drunk driving and he successfully defended Jean-Claude Van Damme in his Beverly Hills criminal matter. His clients have included Hollywood celebrities and studio executives. Copeland also represented a music producer in an assault case stemming from an altercation with Mötley Crüe lead singer Vince Neil.

Copeland is often seen on CBS News and CNN's "Larry King Live" commenting and providing legal analysis on celebrity or national legal news stories.

Copeland is licensed to practice law in California.

George Washington University Law School
The George Washington University Law School (GW Law) is the law school of George Washington University, a private research university in Washington, D.C. Established in 1865, GW Law is the oldest law school in Washington, D.C.

GW Law has an alumni network that includes notable people within the fields of law and government, including the former U.S. Attorney General, the former U.S. Secretary of the Interior, foreign heads of state, judges of the International Court of Justice, ministers of foreign affairs, a Director-General of the World Intellectual Property Organization, a Director of the CIA, members of U.S. Congress, U.S. State Governors, four Directors of the FBI, and numerous Federal judges.
2022 Limerick Premier Intermediate Hurling Championship
The 2022 Limerick Premier Intermediate Hurling Championship was the ninth staging of the Limerick Premier Intermediate Hurling Championship since its establishment by the Limerick County Board in 2014. The championship ran from 29 July to 29 October 2022.

The final was played on 29 October 2022 at FitzGerald Park in Kilmallock, between Monaleen and Bruff, in what was their first ever meeting in the final. Monaleen won the match by 2–16 to 0–16 to claim their first ever championship title in the grade.

Limerick GAA
The Limerick County Board of the Gaelic Athletic Association (GAA) (Irish: Cumann Lúthchleas Gael, Coiste Chontae Luimneach) or Limerick GAA is one of the 32 county boards of the GAA in Ireland, and is responsible for Gaelic games in County Limerick. The county board is also responsible for the Limerick county teams.

The county hurling team has the fourth highest total of All-Ireland Senior Hurling Championship (SHC) titles, behind Kilkenny, Cork and Tipperary. The county football team was the first from the province of Munster both to win an All-Ireland Senior Football Championship (SFC), as well as to appear in the final.

As of 2009, there were 108 clubs affiliated to Limerick GAA — the third highest, alongside Antrim.
James Watson (Shrewsbury MP)
James Watson (1817 – 5 July 1895) was an English merchant, dairy herdsman and Conservative politician who sat in the House of Commons from 1885 to 1892.

Watson was born at Birmingham the son of James Watson, of Edgbaston and his wife Mary Spreadborough. Watson was a cheesemonger in Birmingham.  In 1875, he purchased Berwick House near Shrewsbury and moved in four years later after extensive reconstruction. There he established one of the first herds of Jersey cows in England. He became a J.P. for the counties of  Staffordshire, Shropshire and Worcestershire. He served as treasurer of the Salop Infirmary in Shrewsbury in 1886.

At the 1885 general election Watson  was elected as the Member of Parliament (MP) for Shrewsbury and held the seat until he stood down at the 1892 election.

Watson died at the age of 78.

Watson married Jane Willan in 1856 and they had a daughter Florence.

Edgbaston
Edgbaston (/ˈɛdʒbəstən/) is a suburb of Birmingham, West Midlands, England. It lies immediately south-west of Birmingham city centre, and was historically in Warwickshire. The wards of Edgbaston and North Edgbaston had a combined population of 42,295 at the 2021 census.

Edgbaston is the location of Edgbaston Cricket Ground, the University of Birmingham, Birmingham Botanical Gardens, the Midlands Arts Centre and the Edgbaston Archery and Lawn Tennis Society, the oldest lawn tennis club in the world.
Worcester Cathedral Choir
Worcester Cathedral Choir  is an English Anglican choir based at Worcester Cathedral in Worcester, England. It is directed by Samuel Hudson, Organist and Director of Music at the cathedral.

The choir was founded in medieval times. Famous organists at Worcester have included the composer Thomas Tomkins. Another composer associated with Worcester is Elgar, who composed music for both Roman Catholic and Anglican services.

Choristers are educated at the King's School, Worcester which is a private co-educational day school.
According to the Cathedral website, from 2021 girls have taken an "equal share in choristership" (although it appears boys and girls sections sing independently in services). There are also lay clerks (professional adult singers).

Thomas Tomkins
Thomas Tomkins (1572 – 9 June 1656) was a Welsh-born composer of the late Tudor and early Stuart period. In addition to being one of the prominent members of the English Madrigal School, he was a skilled composer of keyboard and consort music, and the last member of the English virginalist school.
Uliodon
Uliodon is a genus of spiders endemic to New Zealand and possibly Australia. They are commonly referred to as vagrant spiders. Vagrant spiders vary in colour from dark brown to almost black, they typically have a body length of 20mm and a 50mm leg span. When alive, the interior of the male's pedipalp are brightly coloured (usually orange).

They are nocturnal hunters, feeding on ground-dwelling invertebrates. During the day they are found under logs and rocks. They can be found in a variety of habitats: native forest and plantations, or more open habitat, but also scree slopes and occasionally in houses.

Pedipalp
Pedipalps (commonly shortened to palps or palpi) are the secondary pair of forward appendages among chelicerates – a group of arthropods including spiders, scorpions, horseshoe crabs, and sea spiders. The pedipalps are lateral to the chelicerae ("jaws") and anterior to the first pair of walking legs.
Gremlin Industries
Gremlin Industries was an American arcade game manufacturer active from 1970 to 1983, based in San Diego, California. It was acquired by Sega in 1978, and afterwards was known as Gremlin/Sega or Sega/Gremlin. Among Sega/Gremlin's most notable games are Blockade and Head On, as well as being the North American distributors for Frogger and Zaxxon. The company's name was subsequently changed to Sega Electronics in 1982, before its operations were closed in 1983.

Sega later released emulated and playable version of some of Sega/Gremlin games as vault material for the Sega Ages and Sega Genesis Collection series.

Star Trek (arcade game)
Star Trek: Strategic Operations Simulator is a space combat simulation arcade video game based on the original Star Trek television program and movie series, and released by Sega in 1983. Star Trek uses color vector graphics for both a 2D display and a 3D first-person perspective, and features synthesized speech. The player controls the Starship Enterprise and must defend sectors from invading Klingon ships.

The game was manufactured in two styles of cabinets: an upright standup, and a sit-down/semi-enclosed deluxe cabinet with the player's chair modeled after the Star Trek: The Motion Picture's bridge chairs with controls integrated into the chair's arms.

Star Trek was ported to the  Commodore 64, TI-99/4A, Atari 8-bit computers, Atari 5200, Atari 2600, VIC-20, ColecoVision, and Apple II.
Per Hovdenakk
Per Hovdenakk (11 December 1935 – 14 June 2016) was a Norwegian art historian.

He was born in Ørsta in Møre og Romsdal county, Norway.  From 1959 to 1969 he was a journalist at   Bergens Arbeiderblad. He was assigned with the Henie Onstad Kunstsenter from 1969, and served as director of the museum from 1989 to 1996. He was decorated Knight of the Order of St. Olav in 2012.

Ørsta Municipality
Ørstaⓘ is a municipality in Møre og Romsdal county, Norway. It is part of the Sunnmøre region of Western Norway. The administrative centre of the municipality is the village of Ørsta. Other villages in the municipality include Barstadvik, Flåskjer, Follestaddalen, Hovdebygda, Liadal, Nordre Vartdal,  Store-Standal, Sæbø, Trandal, Urke, Vartdal, Ytre-Standal, Åmdalen, and Årset.

The 662-square-kilometre (256 sq mi) municipality is the 171st largest by area out of the 357 municipalities in Norway. Ørsta Municipality is the 106th most populous municipality in Norway with a population of 10,958. The municipality's population density is 16.6 inhabitants per square kilometre (43/sq mi) and its population has increased by 4% over the previous 10-year period.
Indian Institute of Science Education and Research, Mohali
Indian Institute of Science Education and Research Mohali (IISER Mohali) is an autonomous public research institute established in 2007 at Mohali, Punjab, India. It is one of the seven Indian Institutes of Science Education and Research (IISERs), established by the Ministry of Human Resources and Development, Government of India, to research in frontier areas of science and to provide science education at the undergraduate and postgraduate level. It was established after IISER Pune and IISER Kolkata and is recognized as an Institute of National Importance by the GoI. Institute focuses on pure research as well as interdisciplinary research in various fields of science. It is located in Knowledge City, Mohali, where the campuses of other research institutes like INST, CIAB and NABI are also located.

Institutes of National Importance
In India, an Institution of National Importance (INI) refers to a premier public higher education institution granted special status by the constitution or an act of the Parliament of India. Such institutions are recognized for their pivotal role in developing highly skilled personnel within a specified region of the country or state. Institutes of National Importance enjoy special recognition, greater autonomy, and direct funding from the Government of India.

At the inception of the Constitution of India, the Seventh Schedule declared Banaras Hindu University and Aligarh Muslim University as institutes of national importance. Subsequently 32nd Amendment in 1973 added University of Delhi to the schedule. Other institutions are accorded as INI by legislations or statutory orders.
Daung Yin Pyan Bon Nabay Mhar Sar Yay Loh Htar Chin Dal
Daung Yin Pyan Bon Nabay Mhar Sar Yay Loh Htar Chin Dal (Burmese: ဒေါင်းယာဉ်ပျံဘုံနံဘေးမှာစာရေးလို့ထားချင်တယ်) is a 2022 Burmese drama television series directed by Zabyu Htun Thet Lwin starring Kyaw Htet Zaw, Nan Sandar Hla Htun, Su Htet Hlaing, Thar Htet Nyan Zaw, Nay Yee Win Lai, Nan Shwe Yee and Sett Yoon Twel Tar. It is an adaptation of the popular novel "Daung Yin Pyan Bon Nabay Mhar Sar Yay Loh Htar Chin Dal" by Nwam Jar Thaing. It aired on MRTV-4, from June 2 to July 21, 2022, on Mondays to Fridays at 19:00 for 36 episodes.

MRTV-4
MRTV-4 (Myanmar Radio and Television- 4) is a Burmese television channel jointly operated by the state-owned MRTV and the private media company the Forever Group. Launched in May 2004, the channel broadcasts between 7 am and 11 pm. Since that time, it is only available to viewers with satellite or terrestrial DVB-T decoders. Now, they broadcast 24 hours and also available in OTT platform, PyonePlay.

The channel is run under the Ministry of Information, and international news broadcasts undergo censorship.
Pedro Chagas Freitas
Pedro Chagas Freitas (born 25 September 1979 in Azurém, Guimarães) is a writer, journalist, writing teacher and public speaker from Portugal. He has more than 15 books published, received a "Young Creators" award from the National Cultural Centre in Portugal and is the creator of a National Championship of Creative Writing. He began as editor-in-chief of the magazine Estádio D. Afonso Henriques (named after Estádio D. Afonso Henriques). He wrote for several newspapers, including A Bola and Desportivo de Guimarães. Chagas Freitas developed the first book written in Facebook and wrote live a romance for 24 consecutive hours in a shopping center. He also works as professional public speaker in the fields of leadership, self-confidence, peak performance and life management. In June 2011 he led a writing seminar at the Escola Profissional de Braga (Braga Professional Training Center).

Estádio D. Afonso Henriques
The Estádio D. Afonso Henriques (English: D. Afonso Henriques Stadium) is a football stadium in the city of Guimarães, Portugal. The stadium is home of Guimarães's most successful team, Vitória de Guimarães, presently competing in the top-flight Portuguese Liga.

The stadium, formerly known as Estádio Municipal de Guimarães, was built in 1965 and was renovated and expanded in 2003 for the UEFA Euro 2004 tournament by architect Eduardo Guimarães for €34.252 million. Estádio D. Afonso Henriques has a capacity of 30,029 and it is named after the first King of Portugal—and also a Guimarães native—Afonso Henriques.
Murături
Murături (Romanian for pickles) are vegetables or fruit pickled in brine, with added dill, oak leaves, celery and others for flavoring and preservation, as found in Romanian cuisine and Moldovan cuisine. The pickles are ordinarily made of locally grown produce such as beetroot, cucumber, green tomatoes (Romanian: gogonele), carrots, cabbage, bell peppers, watermelons, mushrooms, turnips, celery and cauliflower.

After fermentation, the pickle juice becomes sour and is sometimes used in soups such as borsch.

Cauliflower
Cauliflower is one of several vegetables cultivated from the species Brassica oleracea in the genus Brassica, which is in the Brassicaceae (or mustard) family. Cauliflower usually grows with one main stem that carries a large, rounded "head" made of tightly clustered, immature white or off-white flower buds called the "curd". Typically, only the "head" is eaten.

An annual plant that reproduces by seed, the cauliflower head is composed of a (generally) white inflorescence meristem. Although cauliflower heads resemble those in broccoli, the latter differs in having flower buds as the edible portion.

The global cauliflower production (combined with broccoli) in 2023 was 26.5 million tonnes, led by China and India with 72% of the total.
HPGP
High Performance Green Propulsion (HPGP) is a rocket monopropellant developed as a safer alternative to hydrazine. HPGP is based on ammonium dinitramide mixed with ammonia and methanol. It can achieve a specific impulse of up to 255 seconds. The Prisma mission served as a demonstrator mission for HPGP. To date, a dozen spacecraft equipment with HPGP thrusters have been launched to space, including the Planet (formerly Skybox Imaging) SkySat spacecraft.

HPGP is also planned to be used on the Lunar Flashlight and ArgoMoon missions to the Moon, on Astroscale space debris removal spacecraft, on the U.S. Air Force's STPSat-5 technology demonstrator spacecraft and on the Astranis microGEO bus.

SkySat
SkySat is a constellation of sub-meter resolution Earth observation satellites owned by Planet Labs, providing imagery, high-definition video and analytics services. Planet acquired the satellites with their purchase of Terra Bella (formerly Skybox Imaging), a Mountain View, California-based company founded in 2009 by Dan Berkenstock, Julian Mann, John Fenwick, and Ching-Yu Hu, from Google in 2017.
Transfiguration of our Lord Russian Orthodox Church
Transfiguration of our Lord Russian Orthodox Church (Holy Transfiguration Church) is a Russian Orthodox church is located in Baltimore, Maryland. The church belongs to the Eastern American diocese of the Russian Orthodox Church Outside Russia.

Russian Orthodox Eparchy of Eastern America and New York
The Russian Orthodox Eparchy of Eastern America and New York (Russian: Восточно-Американская и Нью-Йоркская епархия, romanized: Vostochno-Amerikanskaya i Nyu-Yorkskaya eparkhiya) is a diocese  of the Russian Orthodox Church Outside Russia that is the see of its First Hierarch. The current First Hierarch is Metropolitan Nicholas (Olhovsky) since September 14th, 2022.
Lothian Airlink
The Airlink 100 is a bus service operated by Lothian Buses, which links Edinburgh City Centre, Haymarket, Edinburgh Zoo, and Corstorphine with Edinburgh Airport. It is operated by a fleet of high-specification Volvo B8L Alexander Dennis Enviro400 XLB tri-axle double decker buses, presented in a distinctive blue and red livery.

Airlink operates as a premium airport link, featuring a uniform high-specification fleet, rather than the mixed vehicles seen on other Lothian routes, this combined with the services frequency has made it particularly popular with passengers.

Edinburgh Airport
Edinburgh Airport (IATA: EDI, ICAO: EGPH) is an international airport located in the Ingliston area of Edinburgh, Scotland. It is located five nautical miles (nine kilometres) west of the city centre, just off the M8 and M9 motorways. It is owned and operated by Edinburgh Airport Limited.

The airport is the busiest in Scotland based on passenger numbers, with 15.8 million passengers flying from the airport in 2024, a 10% increase on passenger numbers from 2023. A total of 35 airlines use the airport to fly to over 152 international destinations. As well as being the busiest airport in Scotland, it is the sixth busiest airport in the United Kingdom.
Renaissance Trains
Renaissance Trains is a company formed in August 1997 by former British Rail managers Mike Jones and John Nelson with the purpose of promoting and investing in open access passenger and freight rail businesses in the United Kingdom, as well as promoting and investing in rail industry innovation. Mary Bonar and Peter Wilkinson are also shareholders. It is based in York.

Open-access operator
In rail transport, an open-access operator is an operator that takes full commercial risk, running on infrastructure owned by a third party and buying paths on a chosen route and, in countries where rail services run under franchises, are not subject to franchising.
Pickering—Ajax—Uxbridge (provincial electoral district)
Pickering—Ajax—Uxbridge was a provincial electoral district in central Ontario, Canada that elected one Member of the Legislative Assembly of Ontario. It was created in 1999 from Durham West and Durham—York. It was abolished in 2007 with the territory rolled into Ajax—Pickering, Durham and Pickering—Scarborough East.

The riding included all of Pickering and Uxbridge plus all of Ajax north of Finch Avenue.

Ajax, Ontario
Ajax (/ˈeɪdʒæks/; 2021 population: 126,666) is a waterfront town in Durham Region in Southern Ontario, Canada, located in the eastern part of the Greater Toronto Area.

The town is named for HMS Ajax, a Royal Navy cruiser that served in the Second World War. It is approximately 11 kilometres (7 mi) east of Toronto on the shores of Lake Ontario and is bordered by the City of Pickering to the west and north, and the Town of Whitby to the east.
Hurt-M-Badd
Tyrone Wrice, better known by his stage name Hurt-M-Badd, is an American singer and record producer. He is a former member of short-lived R&B duo B-Rezell with Marc "MGM" McWilliams, which appeared on Death Row Records 1994 compilations Murder Was the Case and Above the Rim – The Soundtrack before the break-up. He participated on Tupac Shakur's 1996 The Don Killuminati: The 7 Day Theory album, most notably produced the single "Hail Mary". In 1997 he co-produced one song each for The Lady of Rage's debut album and Gang Related – The Soundtrack. From 1998 to 2002, he continued to produce songs for the Outlawz and 2Pac's posthumous releases, as well as worked with Willie D and Snypaz. In 2013 he produced a bonus track for Fatal's The Interview: It's Not a Gimmik 2 Me.

Snypaz
Snypaz are a hip-hop group formed in Chicago in 1993. Their first release was the 1995 cassette tape Ridin' High; their 1996 EP, My Life as a Snypa, sold 80,000 copies. Relocating to Houston, Texas, the group recorded tracks with Do or Die for their album Headz or Tailz, and soon after appeared on Scarface's 1998 album, My Homies. In 2001, Snypaz signed with Virgin Records and issued their major-label debut, Livin' in the Scope. The title single from this album peaked at number 174 on the Billboard 200.
Cromartyshire (ship)
Cromartyshire was an iron-hulled sailing cargo ship that was launched in Scotland in 1879. She was named after the county of Cromartyshire in the Scottish Highlands.

In 1898 she survived a collision with the French transatlantic liner La Bourgogne, which sank with great loss of life. Cromartyshire also survived a fire off Cape Colony in 1901. She was wrecked on the coast of Chile in 1906.

Cromartyshire
57°36′N 4°00′W﻿ / ﻿57.6°N 4.0°W﻿ / 57.6; -4.0

Cromartyshire (Scottish Gaelic: Siorrachd Chromba) was a county in the Highlands of Scotland, comprising the medieval "old shire" around the county town of Cromarty and 22 enclaves and exclaves transferred from Ross-shire in the late 17th century. The largest part, six times the size of the old shire, was Coigach, containing Ullapool and the area north-west of it. In 1889, Cromartyshire was merged with Ross-shire to become a new county called Ross and Cromarty, which in 1975 was merged into the new council area of Highland.