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.

Linear subspace
In mathematics, and more specifically in linear algebra, a linear subspace or vector subspace is a vector space that is a subset of some larger vector space. A linear subspace is usually simply called a subspace when the context serves to distinguish it from other types of subspaces.
Occlusion (dentistry)
Occlusion, in a dental context, means simply the contact between teeth.  More technically, it is the relationship between the maxillary (upper) and mandibular (lower) teeth when they approach each other, as occurs during chewing or at rest.

Static occlusion refers to contact between teeth when the jaw is closed and stationary, while dynamic occlusion refers to occlusal contacts made when the jaw is moving.

The masticatory system also involves the periodontium, the TMJ (and other skeletal components) and the neuromusculature, therefore the tooth contacts should not be looked at in isolation, but in relation to the overall masticatory system.

Lip
The lips are a horizontal pair of soft appendages attached to the jaws and are the most visible part of the mouth of many animals, including humans. Mammal lips are soft, movable and serve to facilitate the ingestion of food (e.g. suckling and gulping) and the articulation of sound and speech. Human lips are also a somatosensory organ, and can be an erogenous zone when used in kissing and other acts of intimacy.
Donovan's Store
Donovan's Store at Ōkārito on the West Coast of New Zealand is the oldest wooden building in Westland. It was built in the 1860s as a hotel and converted to a general store in the 1890s which operated for over 60 years. It is now a Category 1 listed historic place.

Heritage New Zealand
Heritage New Zealand Pouhere Taonga (initially the National Historic Places Trust and then, from 1963 to 2014, the New Zealand Historic Places Trust; in Māori: Pouhere Taonga) is a Crown entity that advocates for the protection of ancestral sites and heritage buildings in New Zealand. It was set up through the Historic Places Act 1954 with a mission to "...promote the identification, protection, preservation and conservation of the historical and cultural heritage of New Zealand" and is an autonomous Crown entity. Its current enabling legislation is the Heritage New Zealand Pouhere Taonga Act 2014.
Armindo Maia
Armindo Maia  is an East Timorese politician and academic, and a member of the Fretilin political party. From June 2020 to July 2023, he was the Minister of Education, Youth and Sport, serving in the VIII Constitutional Government of East Timor led by Prime Minister Taur Matan Ruak.

Previously, between 2001 and 2006, he held the equivalent position in governments led by UN administrator Sérgio Vieira de Mello and Prime Minister Mari Alkatiri, respectively.

Taur Matan Ruak
José Maria de Vasconcelos (born 10 October 1956), popularly known as Taur Matan Ruak (English: Two Sharp Eyes), is an East Timorese politician who served as the fifth president of East Timor from 2012 to 2017 and as the 9th prime minister from 2018 to 2023.

Before entering politics, he was the commander of the FALINTIL-Forças de Defesa de Timor-Leste (F-FDTL), the military of East Timor, from 2002 until 6 October 2011. Prior to serving in the F-FDTL, he was the last commander of the Armed Forces of National Liberation of East Timor or FALINTIL (Forças Armadas para a Liberação Nacional de Timor Leste), the insurgent army that resisted the Indonesian occupation of the territory from 1975 to 1999. Leaving the military in 2011, he stood as an independent candidate in the 2012 presidential election and prevailed in the second round of the vote, held in April 2012.
Grsync
Grsync is a graphical user interface for rsync. rsync is a differential backup and file synchronization tool widely used in Unix-like operating systems.

Grsync is developed with the GTK widget toolkit. Like rsync, Grsync is free and open-source software licensed under the GNU General Public License.

Differential backup
A differential backup is a type of data backup that preserves data, saving only the difference in the data since the last full backup. The rationale in this is that, since changes to data are generally few compared to the entire amount of data in the data repository, the amount of time required to complete the backup will be smaller than if a full backup was performed every time that the organization or data owner wishes to back up changes since the last full backup. Another advantage, at least as compared to the incremental backup method of data backup, is that at data restoration time, at most two backup media are ever needed to restore all the data. This simplifies data restores as well as increases the likelihood of shortening data restoration time.
UEC-Perm Engines
JSC UEC-Perm Engines (Russian: Пермский моторный завод) is a company based in Perm, Russia. It is part of United Engine Corporation.

Perm Engine Plant, one of the leading aircraft engine plants in the former USSR, produces a wide range of airplane and helicopter engines, as well as helicopter gearboxes, first-stage engines for the Proton rocket, and machinery for use in the consumer industries. It is collocated with Aviadvigatel (formerly known as the Soloviev Engine Design Bureau).

Soloviev D-30
The Soloviev D-30 (now the Aviadvigatel PS-30) is a Soviet two-shaft low-bypass turbofan engine, officially referred to as a "bypass turbojet". It is one of the most powerful turbofan engines developed in the Soviet Union. Development of the turbofan spurred numerous growth versions with increased fan diameter and modified component arrangements. Developed in a short period of time (about three years), the D-30 turned out to be one of the most reliable engines in the history of Soviet engine development, and it was recognized with the USSR State Prize.
Juana Doña
Juana Doña Jiménez (17 December 1918 – 18 October 2003) was a Spanish communist, feminist, trade unionist, and writer. She was active in the Communist Party of Spain (PCE) and became a symbol of anti-Francoist resistance and the women’s movement.

Manuel Vázquez Montalbán
Manuel Vázquez Montalbán (14 June 1939–18 October 2003) was a prolific Spanish writer from Barcelona: journalist, novelist, poet, essayist, anthologue, prologist, humorist, critic and political prisoner as well as a gastronome and an FC Barcelona supporter.
David J. Lane (ambassador)
David J. Lane (born c. 1960) was named president of the Annenberg Foundation Trust in September 2016. The non-profit organization operates the Annenberg Retreat at Sunnylands in Rancho Mirage, California. Lane is chairman of The Stimson Center.

Previously, Lane was United States Ambassador to the United Nations Agencies for Food and Agriculture, serving in Rome, Italy, and chief of the United States Mission to the UN Agencies in Rome.  Before that he held several positions in the U.S. federal government and with philanthropic organizations, including being President and Chief Executive Officer of the ONE Campaign.

Stimson Center
The Stimson Center is a nonprofit, nonpartisan US think tank that analyzes issues related to global peace. It is named after the American lawyer and politician Henry L. Stimson. Stimson Center analyzes issues such as nuclear proliferation, arms trafficking, water management, wildlife poaching, and responses to humanitarian crises. It also provides consulting for US and international institutions and publishes articles for the general public. Stimson also convenes dialogues on global challenges.

In 2013, Stimson received the MacArthur Award for Creative and Effective Institutions. Stimson was ranked 10th best US think tank in the University of Pennsylvania's 2020 Global Go To Think Tanks Report.
Gamma2 Fornacis
Gamma2 Fornacis, a name Latinized from γ2 Fornacis, is a single star in the southern constellation Fornax. It has a white hue and is faintly visible to the naked eye at night with an apparent visual magnitude of 5.4. The distance to Gamma2 Fornacis is approximately 520 light years based on parallax. It is drifting further away with a radial velocity of 24 km/s. Gamma1 Fornacis is a 6th magnitude star about four degrees to the north.

The stellar classification of Gamma2 Fornacis is A1 V, which is notation for an A-type main-sequence star that, like the Sun, is generating energy through core hydrogen fusion. Comparison of its properties to theoretical models suggest an age of about 400 million years old. It has a high rate of spin, showing a projected rotational velocity of 149 km/s. The star has 2.4 times the mass of the Sun and 4.5 times the Sun's radius. It is radiating 117 times the luminosity of the Sun from its photosphere at an effective temperature of roughly 9,000 K.

A-type main-sequence star
An A-type main-sequence star is a main-sequence (core hydrogen burning) star of spectral type A. The spectral luminosity class is V. These stars have spectra defined by strong hydrogen Balmer absorption lines. They measure between 1.7 and 2.1 solar masses (M☉), have surface temperatures between 7,600 and 10,000 K, and live for about a quarter of the lifetime of the Sun. Bright and nearby examples are Altair (A7), Sirius A (A1), and Vega (A0). A-type stars do not have convective zones and thus are not expected to harbor magnetic dynamos. As a consequence, because they do not have strong stellar winds; they lack a means to generate X-ray emission.
Ballet Folklorico Aztlan
Ballet Folklorico en Aztlan (BFA) is a Chicano dance company focusing on Mexican folklore, and blending traditional dance with contemporary movements. The group was founded in 1967 by Hermina Enrique. Currently, her daughter, Viviana Enrique Acosta, is the Artistic Director. The members of BFA were instrumental in founding the Centro Cultural de la Raza which was the first home of the BFA.

The name of Ballet Folklorico en Aztlan references the Chicano concept of "Aztlán" which refers to the American Southwest. The dance group's performances, relating to Mexican and indigenous dance and culture are meant to preserve the historical tradition of the peoples of Aztlan. Ballet Folklorico refers to traditional dance in Mexico and was popularized in the 1960s.

Ballet Folklórico de México
Ballet Folklórico de México is a Mexican folkloric ensemble in Mexico City. For six decades, it has presented dances in costumes reflecting the traditional culture of Mexico. The ensemble has appeared under the name Ballet Folklórico de México de Amalia Hernández.
Rosenwald High School (New Roads, Louisiana)
Rosenwald High School was a Rosenwald School located on Louisiana Highway 10 in the city of New Roads, Louisiana, United States. It was opened in 1922 as New Roads Rosenwald Elementary School and was located on upper Cemetery Street. It was formerly known as New Roads High School, and New Roads Rosenwald High School.

New Roads, Louisiana
New Roads (historically French: Poste-de-Pointe-Coupée) is a city in and the parish seat of Pointe Coupee Parish, Louisiana, United States. The center of population of Louisiana was located in New Roads in 2000. The population was 4,831 at the 2010 census, down from 4,966 in 2000. In the 2020 census the population was 4,549, while at the beginning year of 2023 the census showed a population of 4,205 and expects to be under 4,000 by the years end. The city's ZIP code is 70760. It is part of the Baton Rouge Metropolitan Statistical Area.
Peter June Simon
Peter June Libo-on Simon (born June 1, 1980) is a Filipino professional basketball player for the Davao Occidental Tigers of the Maharlika Pilipinas Basketball League (MPBL). He has formerly played in the Philippine Basketball Association, playing for 16 years with the Magnolia Hotshots franchise. Simon was drafted 43rd overall in the 2001 PBA draft by the Sta. Lucia Realtors. His moniker is Scoring Apostle.

Powerade Tigers
The Powerade Tigers were a professional basketball team that played in the Philippine Basketball Association from 2002 to 2012. The franchise was owned by Coca-Cola Bottlers Philippines, Inc. (CCBPI) when the company acquired Cosmos Bottling Corporation from RFM Corporation. From 2002 to 2010, the team played as the Coca-Cola Tigers. The franchise won two PBA championships, in 2002 and 2003.
Frogatto & Friends
Frogatto & Friends is a platform game with adventure elements released in July 2010. The game received positive reviews, particularly for its "gorgeous" pixel art. The game is cross-platform and runs on Linux (including Nokia N900 handheld devices), AmigaOS4, AROS, Mac OS X, Microsoft Windows, iOS and BlackBerry Tablet OS. The game uses an open-source engine (under the zlib license), with game data mostly proprietary and partly under Creative Commons BY license.

AROS Research Operating System
AROS Research Operating System (AROS, pronounced "AR-OS") is a free and open-source multi media centric implementation of the AmigaOS 3.1 application programming interface (API) which is designed to be portable and flexible. As of 2021, ports are available for personal computers (PCs) based on x86 and PowerPC, in native and hosted flavors, with other architectures in development. In a show of full circle development, AROS has been ported to the Motorola 68000 series (m68k) based Amiga 1200, and there is also an ARM port for the Raspberry Pi series.
1122 Neith
1122 Neith /ˈniːɪθ/, provisional designation 1928 SB, is a background asteroid from the central region of the asteroid belt, approximately 12 kilometers in diameter. It was discovered by Belgian astronomer Eugène Delporte at the Royal Observatory of Belgium in Uccle on 17 September 1928. The asteroid was named after the goddess Neith from Egyptian mythology.

Eugène Joseph Delporte
Eugène Joseph Delporte (10 January 1882 – 19 October 1955) was a Belgian astronomer born in Genappe.

He discovered a total of sixty-six asteroids. Notable discoveries include 1221 Amor (which lent its name to the Amor asteroids) and the Apollo asteroid 2101 Adonis. He discovered or co-discovered some comets as well, including periodic comet 57P/du Toit-Neujmin-Delporte. He worked in the Observatoire Royal de Belgique (Belgian Royal Observatory), situated in the town of Uccle (after which the asteroid 1276 Ucclia is named). He started there in 1903 after receiving his doctorate that year from the Free University of Brussels.

In 1930 he published, on behalf of the IAU, a work delineating the modern boundaries between all of the 88 official constellations in the sky, along lines of constant right ascension and declination for the epoch B1875.0.

The Florian asteroid 1274 Delportia (discovered by himself) and the lunar impact crater Delporte were named after him.
Höxter
Höxter (German pronunciation: [ˈhœkstɐ] ⓘ) is  a town in eastern North Rhine-Westphalia, Germany on the left bank of the river Weser, 52 km (32 miles) north of Kassel. It lies the heart of the Weser Uplands, and is the seat of the Höxter district. The district of Höxter has a population of 30,000, with the city itself making up around half of the population. Historical place names of Höxter are Hoxer and Huxaria.

Paderborn
Paderborn (German pronunciation: [paːdɐˈbɔʁn] ⓘ; Westphalian: Patterbuorn, also Paterboärn) is a city in eastern North Rhine-Westphalia, Germany, capital of the Paderborn district. The name of the city derives from the river Pader and Born, an old German term for the source of a river. The river Pader originates in more than 200 springs near Paderborn Cathedral, where St. Liborius is buried.
Jeremy Meeks
Jeremy Ray Meeks (born February 7, 1984) is an American fashion model, actor, and convicted felon. A former member of the Crips street gang, Meeks was arrested in 2014 during a gang sweep called Operation Ceasefire in Stockton, California. Afterward, police posted his mugshot on Facebook, which went viral due to his  physical attractiveness. He was convicted on federal charges of being a felon in possession of a firearm and grand theft. Meeks' mugshot was noticed by modeling agencies and, upon his release from Mendota Federal Correctional Institution in March 2016, he began a modeling career.

Mug shot
A mug shot or mugshot (an informal term for police photograph or booking photograph) is a photographic portrait of a person from the shoulders up, typically taken after a person is placed under arrest. The primary purpose of the mug shot is to allow law enforcement to have a photographic record of an arrested individual to allow for identification by victims, the public and investigators. However, in the United States, entrepreneurs have recently begun to monetize these public records via the mug shot publishing industry.

Photographing of criminals began in the 1840s only a few years after the invention of photography, but it was not until 1888 that French police officer Alphonse Bertillon standardized the process.
Karshaka Thozhilali Party
Karshaka Thozhilali Party (KTP) was a political party in Kerala formed by Fr. Joseph Vadakkan and B. Wellington. KTP was part of the government in Kerala from 1967 to 1969 in which E. M. S. Namboodiripad was the chief minister and B. Wellington was the health minister. When the state went to the polls at the time of general elections in March 1967, a new polarization of political forces had emerged in the meantime, leading to new electoral alliances. Politically the most potent combination was the new united front of the Communist Party of India (Marxist), the Communist Party of India, the Muslim League, the Revolutionary Socialist Party (India), the Karshaka Thozhilali Party and the Kerala Socialist Party. This seven-party combine was voted to power leading to the formation of a ministry headed by Shri.E. M. S. Namboodiripad.

E. M. S. Namboodiripad
Elamkulam Manakkal Sankaran Namboodiripad (Malayalam: [eːlɐŋɡuɭɐm mɐnɐjkːɐl ʃɐŋɡɐɾɐn n̪ɐmbuːd̪iɾipːaːɖə̆], 13 June 1909 – 19 March 1998) was an Indian communist politician, theorist, author and statesman who served as the first Chief Minister of Kerala in 1957–1959 and then again in 1967–1969. As a member of the Communist Party of India (CPI), he became the first Chief Minister in India not to be a member of the Indian National Congress. In 1964, he led a faction of the CPI that broke away to form the Communist Party of India (Marxist) (CPI(M)).

As chief minister, Namboodiripad pioneered radical land and educational reforms in Kerala, which helped it become the country's leader in social indicators. It is largely due to his commitment and guidance that the CPI(M), of which he was Politburo member and general secretary for 14 years, has become such a domineering political force, playing a vital role in India's new era of coalition politics.
Triangular chess
Triangular chess refers to a group of chess variants played on boards composed of triangular cells.

The best known is a chess variant for two players, Triangular Chess, invented by George R. Dekle Sr. in 1986. Dekle made another variation including fairy pieces which is called Tri-Chess.  These two two-player games were included in World Game Review No. 10 edited by Michael Keller.

Russian Ilshat Tagiev, who introduced a "neutrality rule" to three-player chess in the mid-2000s, took out a patent for a three-person variant of triangular chess on a hexagonal board in 2009.

Fairy chess
Fairy chess is the area of chess composition in which there are some changes to the rules of chess. It may involve changes to the board, pieces, or rules to express an idea or theme impossible in orthodox chess. An altered piece used in fairy chess is known as a fairy chess piece. The term fairy chess was introduced by Henry Tate in 1914. Thomas R. Dawson (1889–1951), the "father of fairy chess", invented many fairy pieces and new conditions. He was also problem editor of Fairy Chess Review (1930–1951).

Although the term fairy chess is sometimes used for games, it is more usually applied in the context of problems. Variations on chess intended to create complete, playable games are more typically referred to as chess variants.
Property Losses (Ireland) Committee
The Property Losses (Ireland) Committee was a committee established by the Dublin Castle administration in Ireland in 1916 to assess claims for damages to buildings and property as a result of destruction caused by the Easter Rising. Although principally concerned with claims from Dublin residents and businesses, the committee assessed claims associated with the insurrection from across Ireland. It considered damages resulting from the actions of British forces, Irish rebels and looters, with over 7,000 claims being investigated. The committee's final report was submitted to the British government on 7 April 1917, after which compensation grants were issued by HM Treasury on the committee's recommendation.

Dublin Castle administration
The Dublin Castle administration was the central executive government of Ireland under English, and later British, rule from the Middle Ages until the creation of the Irish Free State in 1922. The name comes from Dublin Castle, which served as the administrative and ceremonial heart of British authority in Ireland. "Dublin Castle" is used metonymically to describe British rule in Ireland, particularly the executive and civil service that governed through the Lord Lieutenant of Ireland and senior officials such as the Chief Secretary for Ireland and Under-Secretary for Ireland.

The administration operated alongside the Parliament of Ireland (which existed until 1801) and the Privy Council of Ireland, implementing policies and managing patronage, taxation, and the civil service. Over time, the Chief Secretary for Ireland became the key political manager, while the Lord Lieutenant largely served a ceremonial and representative role.
Goldsithney
50°07′30″N 5°26′06″W﻿ / ﻿50.125°N 5.435°W﻿ / 50.125; -5.435

Goldsithney (Cornish: Golsydhni, meaning fair of St Sithney) is a village in west Cornwall, England, United Kingdom. It is on the B3280  at grid reference SW546306, about four miles (6 km) east of Penzance and one mile (1.6 km) east of Marazion. It is in the civil parish of Perranuthnoe.

The centre of Goldsithney is a conservation area and has two pubs (the Trevelyan Arms and the Crown Inn), a shop (The Stores Goldsithney). The village holds a Charter fair in August each year.

Cornish wrestling
Cornish wrestling (Cornish: Omdowl Kernewek) is a form of wrestling that has been established in Cornwall for many centuries and possibly longer. It is similar to the Breton Gouren wrestling style. It is colloquially known as "wrasslin’" in the Cornish dialect of English; historically, this usage is attested by Chaucer, Shakespeare and Drayton.

The referee is known as a 'stickler', and it is claimed that the popular meaning of the word as a 'pedant' originates from this usage.

Cornish wrestling is a national sport of Cornwall, which spread throughout the British Isles and then, along with the Cornish diaspora, to such places as the United States, Australia, Mexico, New Zealand and South Africa.

It has similarities to Devon wrestling but it was reputed to focus less on foot moves and more on throwing.