hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Lagrange's identity (boundary value problem)
In the study of ordinary differential equations and their associated boundary value problems in mathematics, Lagrange's identity, named after Joseph Louis Lagrange, gives the boundary terms arising from integration by parts of a self-adjoint linear differential operator.  Lagrange's identity is fundamental in Sturm–Liouville theory.  In more than one independent variable, Lagrange's identity is generalized by Green's second identity.

Ordinary differential equation
In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions. The term "ordinary" is used in contrast with partial differential equations (PDEs) which may be with respect to more than one independent variable, and, less commonly, in contrast with stochastic differential equations (SDEs) where the progression is random.
Moshav (band)
Moshav, formerly known as Moshav Band, is an Israeli-American Jewish rock band originating from Moshav Mevo Modi'im. Founded in 1996 by Yehuda Solomon and Duvid Swirsky, the group moved to Los Angeles in 2008 and have released ten studio albums. With a sound incorporating elements of alternative rock, folk, funk, and reggae, they were credited, alongside Soulfarm and Blue Fringe, with advancing Jewish rock in the early 2000s.

Soulfarm
Soulfarm (formerly known as Inasense) is an American Jewish rock band based in New York City. They were founded in 1991 by C Lanzbom and Noah Solomon.  Their music is a mix of mainstream rock, Jewish/Middle Eastern, bluegrass, and Celtic influences (among others). Soulfarm is a fixture on the New York City club circuit. The band has also traveled extensively throughout the world.
Wennington railway station
Wennington is a railway station on the Bentham Line, which runs between Leeds and Morecambe via Skipton. The station, situated 15+3⁄4 miles (25 km) east of Lancaster, serves the village of Wennington in Lancashire. It is owned by Network Rail and managed by Northern Trains.

Morecambe railway station
Morecambe is a railway station on the Morecambe Branch Line, which runs between Lancaster and Heysham Port. The station, situated 4 miles (6 km) west of Lancaster, serves the town of Morecambe in Lancashire. It is owned by Network Rail and managed by Northern Trains.
Kommissar X
Kommissar X or Commissioner X is a German crime fiction series of books from the Pabel Moewig publishing house.  "Kommissar X" is a private detective named Joe Louis Walker who was a counterpart of the German crime fiction FBI Special Agent Jerry Cotton.  In addition to the vast collection of books, between 1965 and 1971 seven Kommissar X films were made with Tony Kendall as the laid back swinging New York City private eye Joe Walker balanced against the serious muscular New York City Police Captain Tom Rowland played by Brad Harris.

Jerry Cotton
Jerry Cotton is the title character of a series of German-language pulp crime novels. The novels have been penned by many different writers in German-speaking countries and in Finland through eight decades of publication.
Quartermaster General of the United States Army
The Quartermaster General of the United States Army is a general officer who is responsible for the Quartermaster Corps, the Quartermaster branch of the U.S. Army.  The Quartermaster General does not command Quartermaster units, but is primarily focused on training, doctrine and professional development of Quartermaster soldiers. The Quartermaster General also serves as the Commanding General, U.S. Army Quartermaster Center and School, Fort Gregg-Adams, Virginia, and the traditional Quartermaster Corps.

Quartermaster general
A quartermaster general is the staff officer in charge of supplies for a whole army and is in charge of quartermaster units and personnel, i.e. those tasked with providing supplies for military forces and units.
Bethnal Green railway station
Bethnal Green is a station on the Weaver line of the London Overground, located in the southern part of Bethnal Green in East London. The station is 1 mile 10 chains (1.8 kilometres) down the line from London Liverpool Street; the next station is either Hackney Downs (on the Chingford branch) or Cambridge Heath (on the route to Cheshunt and Enfield Town). Its three-letter station code is BET and it is in London fare zone 2.

The station was opened in 1872 and was formerly called Bethnal Green Junction until 1946; it was also formerly served by trains on the Great Eastern Main Line (GEML) via Stratford. The station is situated on Three Colts Lane and is within walking distance to Bethnal Green Road via Wilmot Street. It is some distance from the other Bethnal Green station on the London Underground's Central line.

Hackney Downs railway station
Hackney Downs is a London Overground and National Rail station in Hackney Central and serves the old common land of Hackney Downs in Lower Clapton in the London Borough of Hackney, it is on the Lea Valley lines and West Anglia Main Line. It is 2 miles 78 chains (4.8 km) down the line from London Liverpool Street and has a direct passenger link to Hackney Central station, providing interchange with the North London line of the Overground network.

On the London Overground, Lea Valley Lines the station is between London Fields and either Clapton (on the Chingford branch) or Rectory Road (on the Cheshunt/Enfield Town branch). Main line trains, operated by Greater Anglia, call at Hackney Downs between Liverpool Street and Tottenham Hale. Its three-letter station code is HAC and it is in London fare zone 2.

The station was originally named  Hackney Downs Junction until 1896.
2022 Motocross des Nations
The 2022 Motocross des Nations was a motocross race held on 24 and 25 November 2022 in Buchanan, United States. This was the fifth time that the event was held in the United States and the second time at this track. Italy went into the event as the defending champions after winning their third title in 2021.

2021 Motocross des Nations
The 2021 Motocross des Nations is a motocross race to be held on 25 and 26 September 2021 in Mantova, Italy.  The race usually takes place after the MXGP season, however because the 2021 GP schedule runs from April through November, the MXoN will take place in the middle of the MXGP series.
Olimpia Giustiniani
Olimpia Giustiniani (18 May 1641 – 27 December 1729) was an Italian noblewoman of the houses of Giustiniani and Barberini. She was the granddaughter of Olimpia Maidalchini, grand-niece of Pope Innocent X and wife of Maffeo Barberini, Prince of Palestrina.

Palestrina
Palestrina (ancient Praeneste; Ancient Greek: Πραίνεστος, Praínestos) is a modern Italian city and comune (municipality) with a population of about 22,000, in Lazio, about 35 kilometres (22 miles) east of Rome. It is connected to the latter by the Via Prenestina. It is built upon the ruins of the ancient city of Praeneste.

Palestrina is the birthplace of composer Giovanni Pierluigi da Palestrina.
Satinder Kumar Saini
Lieutenant General Satinder Kumar Saini, PVSM, AVSM, YSM, VSM, ADC was the 41st Vice Chief of the Army Staff of the Indian Army and assumed the office on 25 January 2020. He previously served as General Officer Commanding in Chief (GOC-in-C) Southern Command.

Yudh Seva Medal
The Yudh Seva Medal (lit. 'War Service Medal') is one of India's military decorations for distinguished service during wartime. It is awarded for a high degree of distinguished service in an operational context, which includes times of war, conflict, or hostilities and may be  awarded posthumously.

The award is the wartime equivalent of the Vishisht Seva Medal, which is a peacetime distinguished service decoration.

In 2019, Minty Agarwal became the first woman given the Yudh Seva Medal.
Kentstown
Kentstown (Irish: Baile an Cheantaigh) is a village in County Meath, Ireland. It is 10 kilometres (6 mi) east of Navan, at the junction of the R153 and R150 roads. The village is in a townland and civil parish of the same name.

Navan
Navan (/ˈnævən/ NAV-ən; Irish: An Uaimh [ənˠ ˈuəvʲ], meaning "the Cave") is the county town and largest town of County Meath, Ireland. It is at the confluence of the River Boyne and Blackwater, around 50 km northwest of Dublin. At the 2022 census, it had a population of 33,886, making it the fourteenth largest settlement in all of Ireland. The town is in a civil parish of the same name.
Mount Genevra
Mount Genevra is a remote 13,054-foot-elevation (3,979-meter) mountain summit located on the Kings–Kern Divide of the Sierra Nevada mountain range, in Tulare County of northern California. It is situated on the shared boundary of Kings Canyon National Park with Sequoia National Park, 3.5 miles (5.6 km) southeast of Mount Brewer, and 0.86 miles (1.38 km) east of Mount Jordan, which is the nearest higher neighbor. Topographic relief is significant as the north aspect rises 3,025 feet (922 meters) above Lake Reflection in 1.5 mile. Mount Genevra ranks as the 138th highest summit in California, and the eighth highest peak on the Kings–Kern Divide.

Mount Brewer
Mount Brewer is on the Great Western Divide, a sub-range of the Sierra Nevada in  California. It is located in Kings Canyon National Park,

The peak was named for William Henry Brewer who worked on the first California Geological Survey and was the first Chair of Agriculture at Yale University's Sheffield Scientific School. He was chief of the field party that explored the central High Sierra in 1864.
Semahat Arsel
Semahat Sevim Arsel (born 1928) is a Turkish billionaire businesswoman. She is a director of Koç Holding, the largest industrial conglomerate in Turkey, and the eldest child of its founder, Vehbi Koç (1901–1996). She owns 6.15% of the family business. As of August 2022, her net worth was estimated at US$1.6 billion.

Vehbi Koç
Ahmet Vehbi Koç (20 July 1901 – 25 February 1996) was a Turkish billionaire, businessman, entrepreneur and philanthropist who founded the Koç Group, one of Turkey's largest groups of companies. During his lifetime, he came to be one of Turkey's wealthiest citizens. He was also a well-known philanthropist with interests in health, education and the arts.
Alabama State Route 160
State Route 160 (SR 160) is an 18.415-mile-long (29.636 km) state highway in Blount County, in the north-central part of the U.S. state of Alabama. The western terminus of the highway is at an intersection with U.S. Route 31 (US 31) on the southern edge of Smoke Rise. This intersection is just east of US 31's interchange with Interstate 65 (I-65 exit 284). The eastern terminus of the highway is at an intersection with US 231 and Blount County Route 1 (CR 1) in Cleveland. SR 160 is the only state highway that is exclusively located in Blount County.

Interstate 65 in Alabama
Interstate 65 (I-65) meanders across 366 miles (589 km) of the Alabama countryside linking six of the state's 10 largest cities. The highway links together many important roadways that make commerce inside and outside of the state's boundaries possible. It starts at I-10 near Mobile. The route passes through or near the major cities of Montgomery, Birmingham, Decatur, Huntsville, and Athens before entering Tennessee in the north near the town of Ardmore, Alabama.

The entire Alabama portion of I-65 is dedicated as Heroes Highway in honor of Central Intelligence Agency officer Johnny Micheal Spann and all of the people who died during the September 11 attacks.
Silverfish Bay
Silverfish Bay (74°37′00″S 164°38′00″E﻿ / ﻿74.61667°S 164.63333°E﻿ / -74.61667; 164.63333) is a roughly triangular body of water that lies within Terra Nova Bay along the Scott Coast of Victoria Land. Its outline may be defined by a line that connects the tip of the Campbell Glacier Tongue, Shield Nunatak, Oscar Point, and then returns to the Campbell Glacier Tongue. It was named by the New Zealand Geographic Board in 2006 because of an abundance of Antarctic silverfish (Pleuragramma antarcticum) eggs in the bay.

Terra Nova Bay
Terra Nova Bay (74°50′0″S 164°30′0″E﻿ / ﻿74.83333°S 164.50000°E﻿ / -74.83333; 164.50000) is a bay which is often ice free, about 40 nautical miles (74 km; 46 mi) long, lying between Cape Washington and the Drygalski Ice Tongue along the coast of Victoria Land, Antarctica. It was discovered by the British National Antarctic Expedition (known as the Discovery Expedition) under Robert Falcon Scott, 1901–1904, and named by him after Terra Nova, one of the relief ships for the expedition.

The Italian permanent Zucchelli Station is located in the bay, as is the Jang Bogo Station of South Korea.  The Chinese Qinling Station on Inexpressible Island, opened in 2024, is their fifth station in Antarctica.
Weak n-category
In category theory in mathematics, a weak n-category is a generalization of the notion of strict n-category where composition and identities are not strictly associative and unital, but only associative and unital up to coherent equivalence or coherent isomorphism.  A weak 0-category is just a set, and a weak 1-category is a ordinarily category. This generalisation only becomes noticeable at dimensions two and above where weak 2-, 3- and 4-categories are typically referred to as bicategories, tricategories, and tetracategories.

Higher category theory
In mathematics, higher category theory is the part of category theory at a higher order, which means that some equalities are replaced by explicit arrows in order to be able to explicitly study the structure behind those equalities. Higher category theory is often applied in algebraic topology (especially in homotopy theory), where one studies algebraic invariants of spaces, such as the fundamental weak ∞-groupoid.

In higher category theory, the concept of higher categorical structures, such as (∞-categories), allows for a more robust treatment of homotopy theory, enabling one to capture finer homotopical distinctions, such as differentiating two topological spaces that have the same fundamental group but differ in their higher homotopy groups. This approach is particularly valuable when dealing with spaces with intricate topological features, such as the Eilenberg-MacLane space.
Metlakatla First Nation
Metlakatla First Nation is a band government based at Metlakatla on the North Coast of British Columbia, Canada, to the north of the city of Prince Rupert.  They are a member of the Tsimshian First Nations treaty council.

Prince Rupert, British Columbia
Prince Rupert is a port city in the province of British Columbia, Canada. It is located on Kaien Island near the Alaskan panhandle. It is the land, air, and water transportation hub of British Columbia's North Coast, and has a population of 12,300 people as of 2021.
1986 NCAA Division I women's soccer tournament
The 1986 NCAA Division I women's soccer tournament was the fifth annual single-elimination tournament to determine the national champion of NCAA women's collegiate soccer. The championship game was played again at George Mason Stadium in Fairfax, Virginia during December 1986.

North Carolina defeated Colorado College in the final, 2–0, to win their fourth national title. Coached by Anson Dorrance, the Tar Heels finished the season 23–0–1. This was the first of North Carolina's record nine consecutive national titles (1986–1994).

The most outstanding player was April Heinrichs from North Carolina. An All-Tournament team, consisting of five players, was also named. Henrichs was also the tournament's leading scorer (4 goals).

NCAA Division I women's soccer tournament
The NCAA Division I Women's Soccer Championship, sometimes known as the Women's College Cup, is an American college soccer tournament conducted by the National Collegiate Athletic Association (NCAA), and determines the Division I women's national champion.
NGC 6028
NGC 6028 is a barred lenticular galaxy and a ring galaxy located about 200 million light-years away in the constellation Hercules. Ring galaxies such as NGC 6028 are also known as Hoag-type galaxies as they may have a resemblance to the prototype, Hoag's Object.  NGC 6028 was discovered by astronomer William Herschel on March 14, 1784. It was then rediscovered by astronomer Guillaume Bigourdan on May 4, 1886.

Hoag's Object
Hoag's Object is an unusual ring galaxy in the constellation of Serpens Caput. It is named after Arthur Hoag, who discovered it in 1950 and identified it as either a planetary nebula or a peculiar galaxy. The galaxy has a D25 isophotal diameter of 45.41 kiloparsecs (148,000 light-years).
Camilo (singer)
Camilo Echeverri Correa (born March 16, 1994), known mononymously as Camilo, is a Colombian singer, musician and songwriter. Born in Medellín, Antioquia, his accolades include six Latin Grammy Awards and three Grammy Award nominations.

He is known for his singles "Vida de Rico", "Una Vida Pasada" with Carin Leon, "Tutu" alongside Pedro Capó and Shakira, and collaborations like "Tattoo Remix" with Rauw Alejandro, "CONTIGO VOY A MUERTE" with Karol G and "Desconocidos" with Mau y Ricky and Manuel Turizo. His music is generally categorized as Latin pop with a mix of urbano music and is noted for his romantic lyrics and treble voice.

He debuted in 2008, after winning the talent show Factor XS in 2007. He is also known for writing and producing hits for other artists including Becky G and Natti Natasha's "Sin Pijama" and Anitta's "Veneno".

Pedro Capó
Pedro Francisco Rodríguez Sosa (born November 14, 1980), known professionally as Pedro Capó, is a Puerto Rican singer who is a grandson of singer Bobby Capó and former Miss Puerto Rico Irma Nydia Vázquez. He studied at Colegio Calasanz in Río Piedras, Puerto Rico.
Elmshorn Fighting Pirates
The Elmshorn Fighting Pirates are an American football team from Elmshorn, Germany.

The club's greatest achievement is winning the championship in the GFL2 North in 2019 and - after winning the promotion/relegation round against the Düsseldorf Panther qualifying for the 2020 season in the top tier German Football League. However, as the 2020 season was never played due to COVID-19, and with competition from a Hamburg based team in the upstart European League of Football (ELF) worsening the doubtful financial situation, the Fighting Pirates ultimately withdrew from the GFL without ever having played a single match in their "theoretical" year of league membership. Unlike the Hildesheim Invaders and the Ingolstadt Dukes who took similar decisions after failing to move their teams to the upstart European League of Football and went on to play in their respective (third tier) Regionalliga, the Fighting Pirates ultimately played only in the sixth tier Landesliga West

Hamburg Sea Devils (ELF)
The Hamburg Sea Devils are an American football team based in Hamburg, Germany. The Sea Devils compete in the European League of Football (ELF) as a member of the North Division. The team plays its home games at Stadion Hoheluft. They played in the ELF Championship Games 2021 and 2022, losing both games.
Countably quasi-barrelled space
In functional analysis, a topological vector space (TVS) is said to be countably quasi-barrelled if every strongly bounded countable union of equicontinuous subsets of its continuous dual space is again equicontinuous. 
This property is a generalization of quasibarrelled spaces.

Infrabarrelled space
In functional analysis, a discipline within mathematics, a locally convex topological vector space (TVS) is said to be infrabarrelled (also spelled infrabarreled) if every bounded barrel is a neighborhood of the origin.

Similarly, quasibarrelled spaces are topological vector spaces (TVS) for which every bornivorous barrelled set in the space is a neighbourhood of the origin. 
Quasibarrelled spaces are studied because they are a weakening of the defining condition of barrelled spaces, for which a form of the Banach–Steinhaus theorem holds.
2-Chloro-2-phenylethylamine
2-Chloro-2-phenylethylamine, also known as β-chlorophenethylamine, is an irreversible inhibitor or suicidal inhibitor of the enzyme monoamine oxidase B (MAO-B), irreversible inhibitor of dopamine-beta-monooxygenase, a derivative of phenylethylamine in which the hydrogen atom in the β-position of the ethyl chain is replaced by a chlorine atom. This is a substituted phenylethylamine, does not exhibit pronounced psychoactivity.

It is a related compound to N,N-dimethyl-2-chloro-2-phenylethylamine (DMEA), a precursor in organic synthesis.

N,N-Dimethyl-2-chloro-2-phenylethylamine
N,N-Dimethyl-2-chloro-2-phenylethylamine (DMEA) is chemical compound that irreversibly inhibits the enzyme acetylcholinesterase. DMEA can cause intoxication in cats, resulting in respiratory failure to death, and progressive damage to the central nervous system in rats. Synthesis of DMEA can be obtained by treating N,N-dimethyl-2-hydroxy-2-phenylethylamine with thionyl chloride (SOCl2).

DMEA, when dissolved water, decomposes into a highly reactive aziridinium ion, N,N-dimethyl-2-phenylaziridinium (DPA). DPA binds to the anionic site of acetylcholinesterase, where it alkylates and irreversibly inhibits the enzyme.

DMEA has been compared to N,N-dimethyl-2-chloro-2-phenyl-1-methylethyl-amine (M-DMEA) and the results show that there is a difference between the degree of adrenergic blocking activity and their immonium ring stability in vitro.
Tablewaiters
Tablewaiters were an Australian post-punk band active from 1980 to 1986. They were founded by Tony Ameneiro on synthesiser and Graeme Synold on lead vocals; by 1981 they included Gye Bennetts on drums, Ian Robertson on bass guitar, and Ed Lee on lead guitar. By 1984 they were joined by Phillip Hyrwka who replaced Bennetts on drums. After Tablewaiters' disbandment Ameneiro pursued a career in visual arts. Tablewaiters had undertaken various national tours and supported both national and international artists: Simple Minds, The Psychedelic Furs, Split Enz, INXS, Midnight Oil, Machinations, Laughing Clowns, Models, Hunters & Collectors, Eurogliders, and The Birthday Party.

Laughing Clowns
Laughing Clowns, sometimes written as The Laughing Clowns, were a post-punk band formed in Sydney in 1979. In five years, the band released three LPs, three EPs, and various singles and compilations. Laughing Clowns' sound is free jazz, bluegrass and krautrock influenced. The band formed to accommodate Ed Kuepper's growing interest in expanding brass-driven  elements he had brought to The Saints' third album, Prehistoric Sounds, and by adopting flattened fifth notes in a rock and roll setting while using a modern jazz styled band line-up.

Along with The Birthday Party, The Go-Betweens, The Moodists and The Triffids, the Laughing Clowns also spent extended periods in Europe during the early 1980s, and gained an international cult status. All four aforementioned groups have cited Laughing Clowns as an influence at some point in their respective careers.
Biorthogonal nearly coiflet basis
In applied mathematics, biorthogonal nearly coiflet bases are wavelet bases proposed by Lowell L. Winger. The wavelet is based on biorthogonal coiflet wavelet bases, but sacrifices its regularity to increase the filter's bandwidth, which might lead to better image compression performance.

Biorthogonal wavelet
A Biorthogonal wavelet is a wavelet where the associated wavelet transform is invertible but not necessarily orthogonal. Designing biorthogonal wavelets allows more degrees of freedom than orthogonal wavelets. One additional degree of freedom is the possibility to construct symmetric wavelet functions.

In the biorthogonal case, there are two scaling functions , which may generate different multiresolution analyses, and accordingly two different wavelet functions . So the numbers M and N of coefficients in the scaling sequences  may differ. The scaling sequences must satisfy the following biorthogonality condition

.

Then the wavelet sequences can be determined as 

.