hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Cayley's Ω process
In mathematics, Cayley's Ω process, introduced by Arthur Cayley (1846), is a relatively invariant differential operator on the general linear group, that is used to construct invariants of a group action.

As a partial differential operator acting on functions of n2 variables xij, the omega operator is given by the determinant

For binary forms f in x1, y1 and g in x2, y2 the Ω operator is . The r-fold Ω process Ωr(f, g) on two forms f and g in the variables x and y is then

Convert f to a form in x1, y1 and g to a form in x2, y2

Apply the Ω operator r times to the function fg, that is, f times g in these four variables

Substitute x for x1 and x2, y for y1 and y2 in the result

The result of the r-fold Ω process Ωr(f, g) on the two forms f and g is also called the r-th transvectant and is commonly written (f, g)r.

Differential operator
In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and returns another function (in the style of a higher-order function in computer science).

This article considers mainly linear differential operators, which are the most common type. However, non-linear differential operators also exist, such as the Schwarzian derivative.
South Thormanby Island
49°29′10″N 123°58′10″W﻿ / ﻿49.48611°N 123.96944°W﻿ / 49.48611; -123.96944﻿ (North Thormanby Island)

South Thormanby Island (sx̱welap in she shashishalhem) is an island off the Sunshine Coast of British Columbia, Canada, located 17 km west of Sechelt, and within the shared territories of the Tla'amin Nation and the shíshálh Nation.

Simson Provincial Park, established in 1986 and named after pioneer Calvert Simson, occupies the majority of the southern part of South Thormanby Island. The northern half of the island is predominately private property, with a concentration of seasonal cottages along Buccaneer Bay and Water Bay.

Sunshine Coast (British Columbia)
The Sunshine Coast is a geographic subregion of the British Columbia Coast that generally comprises the regional districts of qathet and Sunshine Coast.

While populous and frequently visited by tourists, the Sunshine Coast can be reached only by ferry (BC Ferries) or by floatplane, as no access roads have been built around or across the fjords separating it from the rest of the province. It can also be reached via commercial aircraft (Pacific Coastal Airlines) using the Powell River Airport (CYPW) or private or chartered aircraft using the Sechelt Aerodrome (CAP3).
The Voice Kids (Polish TV series) series 4
The Voice Kids is a Polish reality music talent show for aspiring singers aged 7 to 14, airing on TVP 2. The fourth season premiered on February 27, 2021. Tomson & Baron, Dawid Kwiatkowski and Cleo returned as the coaches. Tomasz Kammel will return as host, with Ida Nowakowska-Herndon. Sara Egwu-James won the season, marking Tomson & Baron's first win.

Afromental
Afromental is a Polish rock and rapcore band formed in Olsztyn in 2004.

The group has released four singles: "I've Got What You Need" (2007), "Thing We've Got" (2008), "Happy Day" (2008), and "Pray 4 Love" (2009). They have released two full-length albums on EMI Poland, and their 2009 release Playing with Pop reached #19 on the Polish Music Charts.
Anwar Ibrahim cabinet
The Anwar Ibrahim cabinet is the current federal cabinet of Malaysia, formed on 3 December 2022, nine days after Anwar Ibrahim took office as the 10th Prime Minister of Malaysia. The composition of the cabinet was announced by Anwar a day earlier on 2 December 2022, consisting of most of the political coalitions and parties represented in the 15th Parliament. It was the 23rd cabinet of Malaysia formed since independence. Although Perikatan Nasional (PN) was also invited to join the government, it decided to decline the invitation and instead formed the opposition. The government is often referred to as "unity government" (Malay: Kerajaan Perpaduan) or informally, Madani government (Malay: Kerajaan Madani).

Prime Minister of Malaysia
The prime minister of Malaysia (Malay: Perdana Menteri Malaysia; Jawi: ڤردان منتري مليسيا‎) is the head of government of Malaysia. The prime minister directs the executive branch of the federal government. The Yang di-Pertuan Agong appoints the prime minister who is a member of Parliament (MP) who, in his opinion, is most likely to command the confidence of a majority of MPs. The prime minister is usually the leader of the party winning the most seats in a general election.

After the formation of Malaysia on 16 September 1963, Tunku Abdul Rahman, whom was the chief minister of the Federation of Malaya at the time, became the first prime minister of Malaysia.

The current prime minister is Anwar Ibrahim, who was elected in the 2022 Malaysian general election.
Poet in the City
Poet in the City is a London-based arts organisation founded in 1998 as a project of the Poetry Society; it became an independent charity in 2006.

Poet in the City collaborates with partners from the arts and beyond, from the Barbican Centre, Kings Place and the Royal Opera House to St Paul's Cathedral, the Francis Crick Institute and St Pancras International. It creates new audiences for poetry and works with audiences of all ages, with different interests and backgrounds, and across sectors.

Poet in the City was awarded National Portfolio Organisation status in April 2011, in 2014 and again in 2017, meaning the organisation will receive regular funding from Arts Council England 2018 to 2022. It operates a mixed funding model, combining private and business philanthropy, earned income and public subsidy.

Kings Place
Kings Place is a building in London's King's Cross area, providing music and visual arts venues combined with seven floors of office space. It has housed the editorial offices of The Guardian newspaper since December 2008 and is the former headquarters of Network Rail and CGI.
Cheryl Gillwald
Cheryl Ellen Gillwald (13 December 1956 – 27 July 2010) was a South African politician. A member of the African National Congress, she was elected as a member of the Senate of South Africa in 1994. In 1997 she became a member of the South African National Assembly where she served until her resignation from public office in 2006. Gillwald was appointed Deputy Minister of Justice in 1999 before becoming Deputy Minister of Correctional Services in 2004.

National Council of Provinces
The National Council of Provinces (NCOP) is the upper house of the Parliament of South Africa under the post-apartheid constitution which came into full effect in 1997. It replaced the former Senate, but is very similar to that body, and to many other upper houses of legislatures throughout the world, in that its purpose is to represent the governments of the provinces, rather than directly representing the people.
2005 Świnna rail crash
The Świnna rail crash, also known as Jeleśnia runaway train, was a runaway train accident involving two passenger trains on Skawina – Żywiec railway line 97 in Poland on 19 December 2005. The brakes in passenger train running from Sucha Beskidzka to Żywiec stopped operating after it entered the steep sloped section of line, reaching speed of 90 km/h and creating the threat of head-on collision with another passenger train, going in opposite direction from Żywiec to Sucha Beskidzka. Due to coordinated efforts of the train dispatcher at Jeleśnia station and crew of both trains, the trains eventually collided in a controlled manner in Świnna, Silesian Voivodeship, just outside Żywiec. 2 members of train crews and 6 passengers were injured.

Runaway train
A runaway train is a type of railroad incident in which unattended rolling stock is accidentally allowed to roll onto the main line, a moving train loses enough braking power to be unable to stop in safety, or a train operates at unsafe speeds due to loss of operator control. If the uncontrolled rolling stock derails or hits another train, it will result in a train wreck.

A dead man's control, if the brakes are working, can prevent unattended rolling stock from moving.

A railway air brake can fail if valves on the pipe between each wagon are accidentally closed; the 1953 Pennsylvania Railroad train wreck and the 1988 Gare de Lyon train accident were results of a valve accidentally closed by the crew, reducing braking power.

A parked train or cut off cars may also run away if not properly tied down with a sufficient number of hand brakes.
Governor of West Java
The Governor of West Java (Indonesian: Gubernur Jawa Barat) is the executive head of the West Java Province. He is responsible for running the government together with his deputy and members of the West Java Regional House of Representatives (DPRD) as the legislature. The Governor of West Java is an elected politician who, along with the vice governor and 120 members of the West Java Regional House of Representatives (DPRD), is accountable for the strategic government of the province of West Java.

West Java Regional House of Representatives
The West Java Regional House of Representatives (Indonesian: Dewan Perwakilan Rakyat Daerah Provinsi Jawa Barat; Sundanese: ᮓᮦᮝᮔ᮪ ᮕᮀᮝᮊᮤᮜ᮪ ᮛᮠᮚᮒ᮪ ᮓᮆᮛᮂ ᮕᮢᮧᮗᮤᮔ᮪ᮞᮤ ᮏᮝ ᮊᮥᮜᮧᮔ᮪, romanized: Déwan Pangwakil Rahayat Daérah Propinsi Jawa Kulon) is the unicameral legislature of the Indonesian province of West Java.
Natural cycle in vitro fertilization
Natural Cycle In Vitro Fertilization (IVF) is an assisted reproductive technique designed to closely mimic a woman's natural menstrual cycle. In traditional IVF, a woman's ovaries are stimulated with fertility medications to produce multiple eggs, which are then retrieved and fertilized outside the body. A natural cycle IVF, on the other hand, works with the woman's natural hormonal fluctuations and ovulation cycle.

Natural Cycle IVF is in vitro fertilisation (IVF) using either of the following procedures:

IVF without the use any ovarian hyperstimulation drugs.

IVF using an ovarian hyperstimulation protocol with a GnRH antagonist for ovulation suppression, generally with gonadotropins as well. This procedure can be called modified natural cycle-IVF (MNC-IVF).

Frozen embryo transfer; IVF using ovarian hyperstimulation, followed by embryo cryopreservation, followed by embryo transfer in a later, natural, cycle.

Gonadotropin-releasing hormone antagonist
Gonadotropin-releasing hormone antagonists (GnRH antagonists) are a class of medications that antagonize the gonadotropin-releasing hormone receptor (GnRH receptor) and thus the action of gonadotropin-releasing hormone (GnRH). They are used in the treatment of prostate cancer, endometriosis, uterine fibroids, female infertility in assisted reproduction, and for other indications.

Some GnRH antagonists, such as cetrorelix, are similar in structure to natural GnRH (a hormone made by neurons in the hypothalamus) but that have an antagonistic effect, while other GnRH antagonists, such as elagolix and relugolix, are non-peptide and small-molecule compounds. GnRH antagonists compete with natural GnRH for binding to GnRH receptors, thus decreasing or blocking GnRH action in the body.
Aleksa Šantić
Aleksa Šantić (Serbian Cyrillic: Алекса Шантић, pronounced [ǎleksa ʃǎ:ntitɕ] (listenⓘ); 27 May 1868 – 2 February 1924) was a Bosnian Serb poet and writer from Mostar, Bosnia and Herzegovina. Šantić wrote about the urban culture of his hometown Mostar and Herzegovina, the growing national awareness of Bosnian Serbs, social injustice, nostalgic love, and the unity of the South Slavs. He was the editor-in-chief of the magazine Zora (1896–1901). Šantić was one of the leading persons of Serbian literary and national movement in Mostar. In 1914 Šantić became a member of the Serbian Royal Academy.

Jovan Jovanović Zmaj
Jovan Jovanović Zmaj (Serbian Cyrillic: Јован Јовановић Змаj, pronounced [jɔ̌v̞an jɔv̞ǎːnɔv̞it͡ɕ zmâj]; 24 November 1833 – 1 June 1904) was a Serbian poet, translator and physician.

Jovanović worked as a physician; he wrote in many poetry genres, including love, lyric, patriotic, political, and youth, but he remains best known for his children's poetry. His nursery rhymes have entered the Serbian national consciousness and people sing them to their children without knowing who wrote them. Jovanović also translated the works of some of the great poets, such as Russians Lermontov and Pushkin, Germans Goethe and Heine, and the American Longfellow.

Jovanović's nickname Zmaj (Змај, 'dragon') derives from the 3 May 1848 assembly.
KP Snacks
KP Snacks Limited is a British producer of branded and own-label maize-, potato-, and nut-based snacks. Originating in 1853 in Rotherham, South Yorkshire, the KP stands for "Kenyon Produce". KP Snacks has been owned by German company Intersnack since 2012 and is now based in Slough.

KP Snacks is currently the second largest maker of snack foods in Britain. It owns and produces various brands including KP Nuts, Hula Hoops, McCoy's crisps and Tyrrells crisps, and also distributes other brands under license in the country such as Pom-Bear. The company's largest factory is located in Teesside.

Teesside
Teesside (/ˈtiːsaɪd/) is an urban area around the River Tees in North East England. Straddling the border between County Durham and North Yorkshire, it spans the boroughs of Middlesbrough, Stockton-on-Tees and Redcar and Cleveland. In 2011, it was the eighteenth-largest urban area in the United Kingdom. It forms part of the wider Tees Valley area, which also includes the boroughs of Darlington and Hartlepool.

Towns on Teesside include Middlesbrough, Stockton-on-Tees, Billingham, Redcar, Thornaby-on-Tees, and Ingleby Barwick. The local economy was once dominated by heavy manufacturing until deindustrialisation in the latter half of the 20th century.
Upstairs On the Square
Upstairs On the Square, originally UpStairs at the Pudding (because of the original location above Harvard's Hasty Pudding Club), ended "its storied 31-year run" on December 31, 2013. Owned by Mary-Catherine Deibel and Deborah Hughes, the building they were in was being sold by the landlord.

Their menu has been described as "adventurous classic European".

In 2012, Hughes' daughter Charlotte Silver published a memoir about growing up at the restaurant,
Charlotte Au Chocolat: Memories of a Restaurant Girlhood.

Hasty Pudding Club
The Hasty Pudding Club, often referred to simply as the Pudding, is a social club at Harvard University, and one of three sub-organizations that comprise the Hasty Pudding - Institute of 1770. The historic clubhouse at 12 Holyoke Street was designed by Peabody and Stearns and was placed on the National Register of Historic Places on January 9, 1978.

The year of founding for the Hasty Pudding Club is 1795. The Pudding claims to be the oldest collegiate social club in the United States. Historically, the club has been noted for its "prestigious" reputation and viewed as "the first step towards final club membership." An 1870 travel book listed the Hasty Pudding Club and the Porcellian Club as "the two lions of Harvard."
Roose railway station
Roose is a railway station on the Furness Line, which runs between Barrow-in-Furness and Lancaster. The station, situated 1+3⁄4 miles (3 km) east of Barrow-in-Furness, serves the suburb of Roose in Barrow-in-Furness, Cumbria. It is owned by Network Rail and managed by Northern Trains.

Lancaster railway station
Lancaster railway station (formerly Lancaster Castle) serves the city of Lancaster, in Lancashire, England. It is one of the principal stations on the West Coast Main Line, located 20 miles 78 chains (33.76 km) north of Preston.
Pasages (steam trawler)
ST Pasages (FD 119) was originally a Canadian "Castle" – TR series minesweeping trawler built by the Dominion Shipbuilding Company, Toronto, in 1917 for service with the Royal Canadian Navy during World War I as TR 14. Following the war the vessel was taken to the United Kingdom and converted to a fishing trawler in the 1920s. Renamed Pasages, the vessel ran aground in 1931 on the Isle of Man. The vessel was wrecked and her remains can still be seen.

Ship grounding
Ship grounding or ship stranding is the impact of a ship on seabed or
waterway side.  It may be intentional, as in beaching to land crew or cargo, and careening, for maintenance or repair, or unintentional, as in a marine accident. In accidental cases, it is commonly referred to as "running aground".

When unintentional, grounding may result simply in stranding, with or without damage to the submerged part of the ship's hull.  Breach of the hull may lead to significant flooding, which in the absence of containment in watertight bulkheads may substantially compromise the ship's structural integrity, stability, and safety.
Oued Fes
The Oued Fes (Arabic: واد فاس, lit. 'River of Fes') or Fez River is a river in Morocco. It is a tributary of the Sebou River and historically the main source of water for Morocco's second largest city, Fes, after which it is named.

The river consists of a number of different streams which originate in the Saïss Plain to the south and west of Fes before joining together in the area of Fes el-Bali, the old city (medina) of Fes. Over the centuries the river has been split and diverted into a multitude of canals that distributed water across the city and once powered a number of historic waterwheels. These various water channels converge into the Oued Bou Khrareb which runs through the middle of the old city and historically divided the Qarawiyyin and Andalusiyyin quarters. After the river leaves the city it runs eastwards for a short distance before joining the Sebou River. The various branches and sections of the river, including many of the man-made canals, also have their own names.

Noria
A noria (Arabic: ناعورة, nā‘ūra, plural نواعير nawāʿīr, from Syriac: ܢܥܘܪܐ, nā‘orā, lit. "growler") is a hydropowered scoop wheel used to lift water into a small aqueduct, either for the purpose of irrigation or to supply water to cities and villages.
Hexamolybdenum
Hexamolybdenum is a molybdenum dominant alloy discovered during a nanomineralogy investigation of the Allende meteorite. Hexamolybdenum was discovered in a small ultrarefractory inclusion within the Allende meteorite. This inclusion has been named ACM-1. Hexamolybdenum is hexagonal, with a calculated density of 11.90 g/cm3. The new mineral was found along with allendeite. These minerals, are believed to demonstrate conditions during the early stages of the Solar System, as is the case with many CV3 carbonaceous chondrites such as the Allende meteorite. Hexamolybdenum lies on a continuum of high-temperature alloys that are found in meteorites and allows a link between osmium, ruthenium, and iron rich meteoritic alloys.  The name hexamolybdenum refers to the crystal symmetry (primitive hexagonal) and the molybdenum rich composition. The Allende meteorite fell in 1969 near Pueblito de Allende, Chihuahua, Mexico.

Carbonaceous chondrite
Carbonaceous chondrites or C chondrites are a class of chondritic meteorites comprising at least 8 known groups and many ungrouped meteorites. They include some of the most primitive known meteorites. The C chondrites represent only a small proportion (4.6%) of meteorite falls.

Some famous carbonaceous chondrites are: Allende, Murchison, Orgueil, Ivuna, Murray, Tagish Lake, Sutter's Mill, and Winchcombe.
Minnesota 400
The Minnesota 400 was a streamlined passenger train operated by the Chicago and North Western Railway on its southern Minnesota line between Mankato, Minnesota and Wyeville, Wisconsin. It began running in 1936. In 1950 it was extended to run between Chicago, Illinois and Huron, South Dakota and renamed the Dakota 400. It would be further extended to Rapid City, South Dakota, before being cut back to Mankato, in 1960. This final iteration was named the Rochester 400 and it ceased operation in 1963.

Streamliner
A streamliner is a vehicle incorporating streamlining in a shape providing reduced air resistance. The term is applied to high-speed railway trainsets of the 1930s to 1950s, and to their successor "bullet trains". Less commonly, the term is applied to fully faired upright and recumbent bicycles. As part of the Streamline Moderne trend, the term was applied to passenger cars, trucks, and other types of light-, medium-, or heavy-duty vehicles, but now vehicle streamlining is so prevalent that it is not an outstanding characteristic. In land speed racing, it is a term applied to the long, slender, custom-built, high-speed vehicles with enclosed wheels.
Jnr Spragga
Jnr Spragga (born Nyasha Emanuel Dedza), also known as The Conquering Prince, is a Zimbabwean dancehall musician from Chitungwiza. He is recognized as one of the defining artists of the contemporary Zimdancehall scene, known for a style that fuses gritty vocal delivery with traditional dancehall rhythms and Zimbabwean urban culture.

A protégé of the late Soul Jah Love, Jnr Spragga began his career between 2010 and 2012 and spent over a decade refining his sound before achieving mainstream recognition. His breakthrough came with his runner-up finish at the 2024 National Cup Clash and the chart-topping success of his 2025 anthem "MaRulez". He is the founder and president of the Dareguru Movement, a collective and brand under which he promotes Zimbabwean dancehall culture. His music is released through Btwbc Entertainment.

As of early 2026, Jnr Spragga has approximately 74,800 monthly listeners on Spotify and 78,000 followers on Instagram.

Zimdancehall
Zimdancehall is a subgenre of reggae and dancehall music from Zimbabwe. The traditional way of message delivery is through chanting. Zimdancehall became more popular after the fall of the Urban Grooves genre. Popular pioneers of Zimdancehall include Winky D, Decibel, Sniper Storm, Bootkin Clan, Daddie Distress, Ras Tavonga (Jah Bless), Freeman HKD, and Lewaz Skattah.
RAF Shinfield Park
RAF Shinfield Park was a Royal Air Force administrative site in the south of Reading, Berkshire. It served as the Met Office residential training college from 1971 until 2002. The European Centre for Medium-Range Weather Forecasts was built on part of the site in 1978.

European Centre for Medium-Range Weather Forecasts
The European Centre for Medium-Range Weather Forecasts (ECMWF) is an independent intergovernmental organisation supported by most of the nations of Europe. It is based at three sites: Shinfield Park, Reading, United Kingdom; Bologna, Italy; and Bonn, Germany. It operates one of the largest supercomputer complexes in Europe and the world's largest archive of numerical weather prediction data.