hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Traditional music of Korea
Korea has produced music (Korean: 음악; Hanja: 音樂; RR: eumak; MR: ŭmak) for thousands of years, into the modern day. After the division of Korea in 1945, both North and South Korea have produced their own styles of music.

Traditional music (국악; 國樂; gugak; lit. national music) produced by Korea includes court music, folk music, poetic songs, and religious music used in shamanistic and Buddhist traditions.

Modern music includes K-pop (케이팝; keipap), the popular music of South Korea. North Korea also produces its own popular music, as well as music that's inspired by traditional music.

Music of North Korea
The music of North Korea includes a wide array of folk, popular, light instrumental, political, and classical performers. Beyond patriotic and political music, popular music groups like Pochonbo Electronic Ensemble and Moranbong Band perform songs about everyday life in North Korea and modern light pop reinterpretations of classic Korean folk music. Music education is widely taught in schools, with President Kim Il Sung first implementing a program of study of musical instruments in 1949 at an orphanage in Mangyongdae. Musical diplomacy also continues to be relevant to the Democratic People's Republic of Korea, with musical and cultural delegations completing concerts in China and France in recent years, and musicians from Western countries and South Korea collaborate on projects in North Korea.
United Democratic Front (Namibia)
The United Democratic Front (UDF) is a political party in Namibia. Justus ǁGaroëb founded the party in 1989 and led it until 2013. The party president since January 2024 is Hendrik Gaobaeb. The UDF is represented in the National Assembly (2 seats) and the National Council (2 seats). 1 regional councillor and 21 local councillors are from the UDF.

Justus ǁGaroëb
Justus ǀUruhe ǁGaroëb (born 16 December 1942) is a Namibian traditional ruler and politician who is the current Gaob of the Damara people since 1977. He is the longest serving traditional ruler in recorded history, and was previously a supporter of the resistance to apartheid. He is the founder and former leader of the Namibia National Front and the United Democratic Front (UDF).
Fenske equation
The Fenske equation in continuous fractional distillation is an equation used for calculating the minimum number of theoretical plates required for the separation of a binary feed stream by a fractionation column that is being operated at total reflux (i.e., which means that no overhead product distillate is being withdrawn from the column).

The equation was derived in 1932 by Merrell Fenske, a professor who served as the head of the chemical engineering department at the Pennsylvania State University from 1959 to 1969.

When designing large-scale, continuous industrial distillation towers, it is very useful to first calculate the minimum number of theoretical plates required to obtain the desired overhead product composition.

Fractional distillation
Fractional distillation is the separation of a mixture into its component parts, or fractions. Chemical compounds are separated by heating them to a temperature at which one or more fractions of the mixture will vaporize. It uses distillation to fractionate. Generally the component parts have boiling points that differ by less than 25 °C (45 °F) from each other under a pressure of one atmosphere. If the difference in boiling points is greater than 25 °C, a simple distillation is typically used.

A crude oil distillation unit uses fractional distillation in the process of refining crude oil.
Rhin-et-Moselle
Rhin-et-Moselle (French: [ʁɛ̃ e mɔzɛl]; German: Rhein-und-Mosel) was a department of the First French Republic and First French Empire in present-day Germany. It was named after the rivers Rhine and Moselle. It was formed in 1797, when the left bank of the Rhine was annexed by France. Until the French occupation, its territory was divided between the Archbishopric of Cologne, the Archbishopric of Trier, and the Electorate of the Palatinate. Its territory is now part of the German states of Rhineland-Palatinate and North Rhine-Westphalia. Its capital was Koblenz.

After Napoleon was defeated in 1814, the department became part of Prussia.

Koblenz
Koblenz (UK: /koʊˈblɛnts/ koh-BLENTS, US: /ˈkoʊblɛnts/ KOH-blents, German: [ˈkoːblɛnts] ⓘ; Moselle Franconian: Kowelenz) is a city in the German state of Rhineland-Palatinate, on the banks of the rivers Rhine (Middle Rhine) and Moselle, a multinational tributary.

Koblenz was established as a Roman military post by Drusus c. 8 BC. Its name originates from the Latin (ad) cōnfluentēs, meaning "(at the) confluence". The actual confluence is today known as the "German Corner", a symbol of the unification of Germany that features an equestrian statue of Emperor William I. The city celebrated its 2,000th anniversary in 1992.

The city ranks as the third-largest city by population in Rhineland-Palatinate, behind Mainz and Ludwigshafen am Rhein, with 115,298 residents (as of 2023). Koblenz lies in a narrow flood plain between high hill ranges, some reaching mountainous height, and is served by an express rail and autobahn network. It is part of the populous Rhineland.
Glen Avon, California
Glen Avon is a neighborhood and former census-designated place (CDP) in Riverside County, California, United States. The population was 20,199 at the 2010 census, up from 14,853 at the 2000 census. On July 1, 2011, the CDP became part of the newly incorporated city of Jurupa Valley.

Sunnyslope, California
Sunnyslope was a census-designated place (CDP) in Riverside County, California, United States. The population was 5,153 at the 2010 census, up from 4,437 at the 2000 census. On July 1, 2011, the CDP became part of the City of Jurupa Valley.
T-Coffee
T-Coffee (Tree-based Consistency Objective Function for Alignment Evaluation) is a multiple sequence alignment software using a progressive approach. It generates a library of pairwise alignments to guide the multiple sequence alignment. It can also combine multiple sequences alignments obtained previously and in the latest versions can use structural information from Protein Data Bank (PDB) files (3D-Coffee). It has advanced features to evaluate the quality of the alignments and some capacity for identifying occurrence of motifs (Mocca). It produces alignment in the aln format (Clustal) by default, but can also produce PIR, MSF, and FASTA format. The most common input formats are supported (FASTA, Protein Information Resource (PIR)).

Clustal
Clustal is a computer program used for multiple sequence alignment in bioinformatics. It is one of the most widely cited bioinformatics software with two of its academic publications amongst the top 100 papers cited of all time, according to Nature in 2014.

Since its first publication in 1988, the software and its algorithms have gone through several iterations, with ClustalΩ (Omega) being the latest version as of 2011. It is available as standalone software, via a web interface, and through a server hosted by the European Bioinformatics Institute.
Space Invaders Part II
Space Invaders Part II is a 1979 fixed shooter video game developed and published by Taito for amusement arcades. The sequel to Space Invaders (1978), the player controls a laser base that must destroy formations of descending aliens, while avoiding their projectiles. New features have been added, such as aliens that split into two when shot, an increased high score limit with the player able to save their name as initials, and short cutscenes in-between stages.

Space Invaders Part II was repurposed from excess arcade boards of Space Invaders. Tomohiro Nishikado, who designed the predecessor, returned to design Part II within two months, incorporating concepts that previously went unused. In North America, it was distributed by Midway Manufacturing as Space Invaders Deluxe.

Cutscene
A cutscene or event scene (sometimes in-game cinematic or in-game movie) is a sequence in a video game that is not interactive, interrupting the gameplay. Such scenes are used to show conversations between characters, set the mood, reward the player, introduce newer models and gameplay elements, show the effects of a player's actions, create emotional connections, improve pacing or foreshadow future events.

Cutscenes often feature "on the fly" rendering, using the gameplay graphics to create scripted events. Cutscenes can also be pre-rendered computer graphics streamed from a video file. Pre-made videos used in video games (either during cutscenes or during the gameplay itself) are referred to as "full-motion videos" or "FMVs".  Cutscenes can also appear in other forms, such as a series of images or as plain text and audio.
Hans Reichenbach
Hans Reichenbach (/ˈraɪxənbɑːx/; German: [ˈʁaɪçənbax]; September 26, 1891 – April 9, 1953) was a leading philosopher of science, educator, and proponent of logical empiricism. He founded the Gesellschaft für empirische Philosophie (Society for Empirical Philosophy) in Berlin in 1928, also known as the "Berlin Circle". Carl Gustav Hempel, Richard von Mises, David Hilbert and Kurt Grelling all became members of the Berlin Circle.

In 1930, Reichenbach and Rudolf Carnap became editors of the journal Erkenntnis. He also made lasting contributions to the study of empiricism based on a theory of probability; the logic and the philosophy of mathematics; space, time, and relativity theory; analysis of probabilistic reasoning; and quantum mechanics. In 1951, he authored The Rise of Scientific Philosophy, his most popular book.

David Hilbert
David Hilbert  (/ˈhɪlbərt/; German: [ˈdaːvɪt ˈhɪlbɐt]; 23 January 1862 – 14 February 1943) was a German mathematician and philosopher of mathematics and one of the most influential mathematicians of his time.

Hilbert discovered and developed a broad range of fundamental ideas including invariant theory, the calculus of variations, commutative algebra, algebraic number theory, the foundations of geometry, spectral theory of operators and its application to integral equations, mathematical physics, and the foundations of mathematics (particularly proof theory). He adopted and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented a collection of problems that set a course for mathematical research of the 20th century.

Hilbert and his students contributed to establishing rigor and developed important tools used in modern mathematical physics. He was a co-founder of proof theory and mathematical logic.
Bât Nôkôr Réach
The "Song of the Royal Kingdom" (Khmer: បទនគររាជ, romanized: Bât Nôkôr Réach, pronounced [ɓɑt̚ nɔkɔ́ː‿ɾiə̯c̚]) is the national anthem of Cambodia. It is based on a Cambodian folk tune and was written by Chuon Nath.

Chuon Nath
Chuon Nath (Khmer: ជួន ណាត; 11 March 1883 – 25 September 1969) was a Cambodian monk and the late Gana Mahanikaya Supreme Patriarch of Cambodia. Amongst his achievements is his effort in conservation of the Khmer language in the form of the Khmer dictionary. His protection of Khmer identity and history in the form of patriotic songs "Bât Nôkôr Réach" and "Pongsavotar Khmer" were also among his contributions to the country. His ashes were interred at Wat Ounalom in Phnom Penh. His full honorary title is Samdech Sangha Rāja Jhotañāno Chuon Nath (Khmer: សម្តេចព្រះសង្ឃរាជ ជួន ណាត ជោតញ្ញាណោ)
Outer space (mathematics)
In the mathematical subject of geometric group theory, the Culler–Vogtmann Outer space or just Outer space of a free group Fn is a topological space consisting of the so-called "marked metric graph structures" of volume 1 on Fn. The Outer space, denoted Xn or CVn, comes equipped with a natural action of the group of outer automorphisms Out(Fn) of Fn. The Outer space was introduced in a 1986 paper of Marc Culler and Karen Vogtmann, and it serves as a free group analog of the Teichmüller space of a hyperbolic surface. Outer space is used to study homology and cohomology groups of Out(Fn) and to obtain information about algebraic, geometric and dynamical properties of Out(Fn), of its subgroups and individual outer automorphisms of Fn. The space Xn can also be thought of as the set of Fn-equivariant isometry types of minimal free discrete isometric actions of Fn on R-trees T such that the quotient metric graph T/Fn has volume 1.

Karen Vogtmann
Karen Vogtmann FRS (born July 13, 1949 in Pittsburg, California) is an American mathematician working primarily in the area of geometric group theory. She introduced, in a 1986 paper with Marc Culler, an object now known as the Culler–Vogtmann Outer space. The Outer space is a free group analog of the Teichmüller space of a Riemann surface and is particularly useful in the study of the group of outer automorphisms of the free group on n generators, Out(Fn). Vogtmann is a professor of mathematics at Cornell University and the University of Warwick.
Breda–Eindhoven railway
The Breda–Eindhoven railway is an important railway line in the Netherlands running from Breda railway station to Eindhoven railway station, passing through Tilburg railway station and Boxtel railway station. The line was opened between 1863 and 1866. It is part of the Staatslijn "E".

Eindhoven Centraal railway station
Eindhoven Centraal railway station is the main railway station in Eindhoven in North Brabant, Netherlands. It is the busiest station outside the Randstad area and an important station in the southern part of The Netherlands.
Kamakshi Amman Temple
The Kamakshi Amman Temple, also known as Kamakoti Nayaki Kovil, is a Hindu temple dedicated to the goddess Kamakshi, one of the highest form of Parvati. She is the highest aspect Adi Parashakti, the supreme goddess in Shaktism. The temple is located in the historic city of Kanchipuram, near Chennai, India.

It may have been founded in the 5th-8th century CE by the Pallava kings, whose capital was in Kanchipuram. It may also have been built by the Cholas in the 14th century, and legend also says it was built as recent as 1783.

The temple is one of the most important centers of Shaktism in the state of Tamil Nadu. The temple is dedicated mainly to Kamakshi, but also has a shrine for Vishnu, in his form of Varaha. Kamakshi is worshipped in the shrine in five forms.

The temple is also the center for the Kanchi Kamakoti Peetham.

Varaha
Varaha (Sanskrit: वराह, Varāha, "boar") is the avatar of the Hindu god Vishnu, in the form of a boar. Varaha is generally listed as third in the Dashavatara, the ten principal avatars of Vishnu.

In legend, when the demon Hiranyaksha steals the earth goddess Bhumi and hid her in the primordial waters, Vishnu appears as Varaha to rescue her. Varaha kills Hiranyaksha and retrieves the earth from the cosmic ocean, lifting her on his tusks, and restores her to her place in the universe.

Varaha is depicted as a boar or in an anthropomorphic form, with a boar's head and the human body. Varaha is often depicted lifting his consort Bhumi, the earth.
Nanumba South District
Nanumba South District is one of the sixteen districts in Northern Region, Ghana. Originally it was formerly part of the then-larger Nanumba District in 1988, until the southern part of the district was split to off to create Nanumba South District on 27 August 2004; thus the remaining part has been renamed as Nanumba North District (which it was later elevated to municipal district assembly status to become Nanumba North Municipal District on 15 March 2018). The district assembly is located in the eastern part of Eastern Region and has Wulensi as its capital town.

Nanumba North Municipal District
Nanumba North Municipal District is one of the sixteen districts in Northern Region, Ghana. Originally it was formerly part of the then-larger Nanumba District in 1988, until the southern part of the district was split off to create Nanumba South District on 27 August 2004; thus the remaining part has been renamed as Nanumba North District. However on 15 March 2018, it was later elevated to municipal district assembly status to become Nanumba North Municipal District. The municipality is located in the southern part of Northern Region and has Bimbilla as its capital town.

Unlike many urban centers with daily markets, Nanumba North operates on a traditional six-day rotating market system.
Monmouthshire Houses
Monmouthshire Houses: A Study of Building Techniques and Smaller House-Plans in the Fifteenth to Seventeenth Centuries is a study of buildings within the county of Monmouthshire written by Sir Cyril Fox and Lord Raglan and published by the National Museum of Wales. The study was published in three volumes; Part I Medieval Houses, Part II Sub-Medieval Houses, c. 1550–1610 and Part III Renaissance Houses, c. 1590–1714, between 1951 and 1954. The series was republished by Merton Priory Press in 1994. A later historian of Welsh architecture, Peter Smith, described Fox and Raglan’s work as equal in importance, in its own field, to Charles Darwin's On the Origin of Species.

Cyril Fox
Sir Cyril Fred Fox FSA FBA MRIA (16 December 1882 – 15 January 1967) was an English archaeologist and museum director.

Fox became keeper of archaeology at the National Museum of Wales, and subsequently served as director from 1926 to 1948. Many of his most notable achievements were collaborative. With his second wife, Aileen Fox, he surveyed and excavated several prehistoric monuments in Wales. With Iorwerth Peate, he established the Welsh Folk Museum at St Fagans, and with Lord Raglan, he authored a definitive history of vernacular architecture, Monmouthshire Houses.
4-8-2+2-8-4
Under the Whyte notation for the classification of steam locomotives by wheel arrangement, a 4-8-2+2-8-4 is a Garratt articulated locomotive consisting of a pair of 4-8-2 engine units back to back, with the boiler and cab suspended between them. The 4-8-2 wheel arrangement has four leading wheels on two axles, usually in a leading bogie, eight powered and coupled driving wheels on four axles and two trailing wheels on one axle, usually in a trailing truck. Since the 4-8-2 type is generally known as a Mountain, the corresponding Garratt type is usually known as a Double Mountain.

South African Class GMA 4-8-2+2-8-4
The South African Railways Class GMA 4-8-2+2-8-4 of 1954 is an articulated steam locomotive.

Between 1954 and 1958, the South African Railways placed 120 Class GMA Garratt articulated steam locomotives with a 4-8-2+2-8-4 Double Mountain type wheel arrangement in service. All the locomotives could be configured as either a Class GMA branch line or a Class GMAM mainline engine. This was the most numerous Garratt class in the world.
Bounded function
In mathematics, a function  defined on some set  with real or complex values is called bounded if the set of its values (its image) is bounded. In other words, there exists a real number  such that

for all  in . A function that is not bounded is said to be unbounded.

If  is real-valued and  for all  in , then the function is said to be bounded (from) above by . If  for all  in , then the function is said to be bounded (from) below by . A real-valued function is bounded if and only if it is bounded from above and below.

An important special case is a bounded sequence, where  is taken to be the set  of natural numbers. Thus a sequence  is bounded if there exists a real number  such that

for every natural number . The set of all bounded sequences forms the sequence space .

The definition of boundedness can be generalized to functions  taking values in a more general space  by requiring that the image  is a bounded set in .

Bounded set
In mathematical analysis and related areas of mathematics, a set is called bounded if all of its points are within a certain distance of each other. Conversely, a set which is not bounded is called unbounded. The word "bounded" makes no sense in a general topological space without a corresponding metric.

Boundary is a distinct concept; for example, a circle (not to be confused with a disk) in isolation is a boundaryless bounded set, while the half plane is unbounded yet has a boundary.

A bounded set is not necessarily a closed set and vice versa. For example, a subset S of a 2-dimensional real space R2 constrained by two parabolic curves x2 + 1 and x2 − 1 defined in a Cartesian coordinate system is closed by the curves but not bounded (so unbounded).
Portmore United F.C.
Portmore United Football Club is a Jamaican professional football team in the top flight Jamaica Premier League. With 7 Jamaica Premier League titles, 5 JFF Champions Cup and 2 Caribbean Club Championships, Portmore United is the most decorated club in Jamaican Football.

The team plays its home matches at the Ferdie Nieta Park.

Jamaica Premier League
The Jamaica Premier League (formerly the National Premier League), commonly abbreviated as JPL and officially known as the Wray and Nephew Jamaica Premier League for sponsorship reasons, is sanctioned by the Jamaican Football Federation as the top division for men's association football in Jamaica. Contested between 14 clubs, it operates on a system of promotion and relegation with the JFF Championship. Most games are played on Sunday afternoons and Monday evenings (Monday Night Football).
Nenano
Phthora nenano (Medieval Greek: φθορὰ νενανῶ, also νενανὼ) is the name of one of the two "extra" modes in the Byzantine Octoechos—an eight-mode system, which was proclaimed by a synod of 792 (792). The phthorai nenano and nana were favoured by composers at the Monastery Agios Sabas, near Jerusalem, while hymnographers at the Stoudiou-Monastery obviously preferred the diatonic mele.

Papadic Octoechos
Oktōēchos (here transcribed "Octoechos"; Greek: ὁ Ὀκτώηχος, pronounced in Constantinopolitan: Ancient Greek pronunciation: [oxˈtoixos]; from ὀκτώ "eight" and ἦχος "sound, mode" called echos; Slavonic: Осмогласие, Osmoglasie from о́смь "eight" and гласъ "voice, sound") is the name of the eight mode system used for the composition of religious chant in Byzantine, Syriac, Armenian, Georgian, Latin and Slavic churches since the Middle Ages. In a modified form the octoechos is still regarded as the foundation of the tradition of monodic Orthodox chant today.

Until 1204 neither the Hagia Sophia nor any other cathedral of the Byzantine Empire did abandon its habits, and the Hagiopolitan eight mode system came into use not earlier than in the mixed rite of Constantinople, after the patriarchate and the court had returned from their exile in Nikaia in 1261.
Berkeley, California
Berkeley (/ˈbɜːrkli/ ⓘ BURK-lee) is a city on the eastern shore of San Francisco Bay in northern Alameda County, California, United States. It is named after the 18th-century Anglo-Irish bishop and philosopher George Berkeley. It borders the cities of Oakland and Emeryville to the south and the city of Albany and the unincorporated community of Kensington to the north. Its eastern border with Contra Costa County generally follows the ridge of the Berkeley Hills. The 2020 census recorded a population of 124,321.

Berkeley is home to the oldest campus in the University of California, the University of California, Berkeley, and the Lawrence Berkeley National Laboratory, which is managed and operated by the university. It also has the Graduate Theological Union, one of the largest religious studies institutions in the world. Berkeley is considered one of the most socially progressive cities in the United States.

Alameda County, California
Alameda County (/ˌæləˈmiːdə/ ⓘ AL-ə-MEE-də) is located in the U.S. state of California. As of the 2020 census, the population was 1,682,353, making it the 7th-most populous county in the state and 21st most populous nationally. The county seat is Oakland. Alameda County is in the San Francisco Bay Area, occupying much of the East Bay region.

The Spanish word alameda means either "a grove of poplars...or a tree lined street".  The name was originally used to describe the Arroyo de la Alameda; the willow and sycamore trees along the banks of the river reminded the early Spanish explorers of a road lined with trees.

Alameda County is part of the San Francisco–Oakland–Berkeley, CA Metropolitan Statistical Area, and the San Jose–San Francisco–Oakland, CA Combined Statistical Area.