hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Hyperperfect number
In number theory, a k-hyperperfect number is a natural number n for which the equality  holds, where σ(n) is the divisor function (i.e., the sum of all positive divisors of n). A hyperperfect number is a k-hyperperfect number for some integer k. Hyperperfect numbers generalize perfect numbers, which are 1-hyperperfect.

The first few numbers in the sequence of k-hyperperfect numbers are 6, 21, 28, 301, 325, 496, 697, ... (sequence A034897 in the OEIS), with the corresponding values of k being 1, 2, 1, 6, 3, 1, 12, ... (sequence A034898 in the OEIS). The first few k-hyperperfect numbers that are not perfect are 21, 301, 325, 697, 1333, ... (sequence A007592 in the OEIS).

On-Line Encyclopedia of Integer Sequences
The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching at AT&T Labs. He transferred the intellectual property and hosting of the OEIS to the OEIS Foundation in 2009, and is its chairman.

OEIS records information on integer sequences of interest to both professional and amateur mathematicians, and is widely cited. As of November 2025, it contains over 390,000 sequences, and is growing by approximately 30 entries per day.

Each entry contains the leading terms of the sequence, keywords, mathematical motivations, literature links, and more, including the option to generate a graph or play a musical representation of the sequence. The database is searchable by keyword, by subsequence, or by any of 16 fields. There is also an advanced search function called SuperSeeker which runs a large number of different algorithms to identify sequences related to the input.
Limpley Stoke
Limpley Stoke is a village and civil parish in Wiltshire, England. It lies in the Avon valley between Bath and Freshford, and is both above and below the A36 road.

The parish is surrounded to the north, west and south by the Bath and North East Somerset district and includes the outskirts of the Somerset villages of Freshford and Midford. The Avon forms the eastern boundary of the parish, and its tributary the Midford Brook is the boundary in the north and west.

The parish had a population of 593 in 2021, up from 541 in 2011.

River Avon, Bristol
The River Avon (/ˈeɪvən/ AY-vən) is a river in the southwest of England. To distinguish it from a number of other rivers of the same name, it is often called the Bristol Avon. The name 'Avon' is loaned from an ancestor of the Welsh word afon, meaning 'river'.

The Avon rises just north of the village of Acton Turville in South Gloucestershire, before flowing through Wiltshire into Somerset. In its lower reaches from Bath (where it meets the Kennet and Avon Canal) to the Severn Estuary at Avonmouth near Bristol, the river is navigable and is known as the Avon Navigation.

The Avon is the 19th longest river in the United Kingdom, at 83 miles (134 km), although there are just 19 miles (31 km) as the crow flies between the source and its mouth in the Severn Estuary. The catchment area is 2,220 square kilometres (860 sq mi).
2017–18 Hyderabad C.A. season
The 2017–18 season is Hyderabad cricket team's 84th competitive season. The Hyderabad cricket team and Hyderabad women's cricket team are senior men's and women's domestic cricket teams based in the city of Hyderabad, India, run by the Hyderabad Cricket Association. They represent the state of Telangana in domestic competitions.

Hyderabad cricket team
The Hyderabad cricket team is a domestic cricket team based in the city of Hyderabad, Telangana, run by the Hyderabad Cricket Association. It is part of the Ranji Trophy Plate Group and has seen scattered success over its many years in the Ranji Trophy circuit. It has won Ranji Trophy twice and been runners-up thrice and have made one appearance in the Irani Trophy.
May 2023 Mayo shelling
On May 31, 2023, shelling from the El Shajara neighborhood of Khartoum hit the neighborhood of Mayo, south of Khartoum, Sudan, during the Battle of Khartoum. Eighteen to 27 people were killed, and over 100 were injured. The shelling resulted in the largest single-event death toll since the war began on April 15.

Al-Shajara, Khartoum
Al-Shajara (Arabic: الشجرة)  is a neighbourhood located in West Khartoum, the capital city of Sudan. It is situated near Jabra neighbourhood, which includes one of the headquarters of the Rapid Support Forces (RSF) and Hemedti's house. The headquarters of the Armoured Corps of the Sudanese Armed Forces (SAF) is located in Al-Shajara.

On 31 July, during the 2023 Sudan conflict, The SAF Special Task Forces attacked an RSF-held Yarmouk Military Industrial Complex near Al-Shajara and claimed to have killed 15 paramilitaries. The SAF also claimed that 23 RSF officers had defected to their side in the July.
Oak Creek (Niobrara River tributary)
Oak Creek is a 7.41 mi (11.93 km) long third-order tributary to the Niobrara River in Rock County, Nebraska.

Oak Creek rises on the North Fork Elkhorn River divide about 0.25 miles (0.40 km) north of Plainview School and then flows northwest and northeast to join the Niobrara River about 1.5 miles (2.4 km) west of Mariaville, Nebraska.

Niobrara River
The Niobrara River (/ˌnaɪ.əˈbrærə/; Omaha–Ponca: Ní Ubthátha khe, pronounced [nĩꜜ ubɫᶞaꜜɫᶞa kʰe], literally "water spread-out horizontal-the" or "The Wide-Spreading Water") is a tributary of the Missouri River, approximately 568 miles (914 km) long, running through the U.S. states of Wyoming and Nebraska.  The river drains one of the most arid sections of the Great Plains, and has a low flow for a river of its length. The Niobrara's watershed includes the northern tier of Nebraska Sandhills, a small south-central section of South Dakota, as well as a small area of eastern Wyoming.
Perry Monument (Cleveland)
Commodore Oliver Hazard Perry Monument is a war monument in Cleveland, Ohio, that commemorates Oliver Hazard Perry and his victory at the Battle of Lake Erie in the War of 1812. Erected at the center of the city's Public Square in 1860, its Perry statue by sculptor William Walcutt was Ohio's first monumental sculpture.

The monument was relocated several times in Cleveland. After replacing the original marble statues with bronze castings in 1929, the original statues were placed in storage and in 1937 were given to the city of Perrysburg, Ohio, where they resided until 1997 when the originals were replaced with bronze castings. Since 2002, the original statue of Perry has been loaned to the Perry's Victory and International Peace Memorial in the village of Put-in-Bay, Ohio, on South Bass Island. The original Sailor Boy and Midshipman statues reside in the lobby of the Perrysburg Municipal Building.

Perry's Victory and International Peace Memorial
Perry's Victory and International Peace Memorial commonly known as  Perry's Monument commemorates the Battle of Lake Erie that took place near Ohio's South Bass Island, in which American Commodore Oliver Hazard Perry led a United States Navy squadron to victory over a smaller Royal Navy squadron under Robert Heriot Barclay during the War of 1812.  Located on an isthmus on the island, the memorial also celebrates the lasting peace between Britain, Canada, and the United States that followed the war.
Parranda (dance)
The parranda is a traditional Spanish dance that originated from the Region of Murcia, the eastern areas of Almería, and the southeastern areas of Albacete in the 18th century. It is a dance similar to the seguidilla, and is usually characterized by its usage of extraordinary jumps and turns in the air.

Seguidilla
The seguidilla (/ˌsɛɡəˈdiː(l)jə, -ɡɪ-, ˌseɪ-/; Spanish: [seɣiˈðiʎa]; plural in both English and Spanish seguidillas; diminutive of seguida, which means "sequence" and is the name of a dance) is an old Castilian folksong and dance form in quick triple time for two people with many regional variations. The music is generally in a major key and often begins on an offbeat.

The term is also used for a Spanish stanza form with four to seven short, partly assonant lines in a characteristic rhythm.
Museum of the American Revolution
The Museum of the American Revolution, formerly The American Revolution Center, is a museum in Philadelphia, Pennsylvania dedicated to telling the story of the American Revolution. The museum was opened to the public on April 19, 2017, the 242nd anniversary of the Battles of Lexington and Concord, some of the battles of the American Revolutionary War, on April 19, 1775.

The museum is located at 101 South Third St. in Philadelphia, the city that served as the revolutionary capital during America's founding. The site is across the street from the First Bank of the United States and two blocks from Independence Hall, the National Constitution Center, Second Bank of the United States, American Philosophical Society, Carpenters' Hall, and the Liberty Bell.

National Constitution Center
The National Constitution Center is an American non-profit institution that is devoted to the study of the Constitution of the United States. Located at the Independence Mall in Philadelphia, Pennsylvania, the center is an interactive museum which serves as a national town hall, hosting government leaders, journalists, scholars, and celebrities who engage in public discussions, including Constitution-related events and presidential debates.

The groundbreaking ceremony was held on September 17, 2000, the 213th anniversary of the signing of the Constitution. The center opened on July 4, 2003, joining other historic sites and attractions in what has been called "America's most historic square mile", because of its proximity to Independence Hall and the Liberty Bell. The center offers civic learning resources onsite and online. It does not house the original Constitution, which is stored at the National Archives Building in Washington, D.C.
JWH-120
JWH-120 is a synthetic cannabimimetic that was discovered by John W. Huffman. It is the N-propyl analog of JWH-122. It is a potent and selective ligand for the CB2 receptor, but a weaker ligand for the CB1 receptor.  It has a binding affinity of Ki = 6.1 ± 0.7 nM at the CB2 subtype and 173 times selectivity over the CB1 subtype.

In the United States, all CB1 receptor agonists of the 3-(1-naphthoyl)indole class such as JWH-120 are Schedule I Controlled Substances.

JWH-122
JWH-122 is a synthetic cannabimimetic that was discovered by John W. Huffman. It is a methylated analogue of JWH-018. It has a Ki of 0.69 nM at CB1 and 1.2 nM at CB2.

In January 2015, over 40 people were reportedly sickened after eating a holiday bread called Rosca de reyes purchased at a bakery in Santa Ana, California, that was laced with JWH-122.
Tony Killeen
Anthony Killeen (born 9 June 1952) is an Irish former Fianna Fáil politician who served Minister for Defence from 2010 to 2011, Minister of State for Fisheries and Forestry from 2008 to 2010, Minister of State at the Department of the Environment, Heritage and Local Government and at the Department of Communications, Energy and Natural Resources from 2007 to 2008 and Minister of State for Labour Affairs from 2004 to 2007. He served as a Teachta Dála (TD) for the Clare constituency from 1992 to 2011.

Minister for Defence (Ireland)
The Minister for Defence (Irish: An tAire Cosanta) is a senior minister in the Government of Ireland and leads the Department of Defence. The current Minister for Defence is Helen McEntee, TD. She is also Minister for Foreign Affairs and Trade.

The department is responsible for the Irish Defence Forces. The Ministers and Secretaries Acts 1924 assigned the minister the additional title of Commander-in-Chief as the Chairman of the Council of Defence. The Defence Act 1954 removed this title, as a result of the reconstitution of the Council of Defence. The President of Ireland, a largely ceremonial role, is considered the Supreme Commander of the Defence Forces. In practice, the Minister acts on the President's behalf and reports to the Irish Government. The Minister for Defence is advised by the Council of Defence on the business of the Department of Defence.

The Minister is assisted by a Minister of State at the Department of Defence, Thomas Byrne, TD.
Angami Baptist Church Council
The Angami Baptist Church Council (ABCC) is one of the 20 associations in the Nagaland Baptist Church Council (NBCC). Through the NBCC, the ABCC is part of the Baptist World Alliance (BWA). Its headquarters, Kohima, is the second station of the American Baptist Foreign Missionary Society in Nagaland, India.

Nagaland Baptist Church Council
The Nagaland Baptist Church Council is a Baptist Christian denomination based in Nagaland, India. It is affiliated with the Council of Baptist Churches in Northeast India and the Asia Pacific Baptist Federation (Baptist World Alliance). The headquarters is located in Kohima, the capital of Nagaland.
Stéphane Gagné
Stéphane Gagné (born 12 December 1969) is a Canadian former gangster, outlaw biker and contract killer who was a hitman for the Hells Angels Motorcycle Club during the Quebec Biker War. Charged with two counts of first-degree murder, Gagné turned Crown witness against the Hells Angels in 1997 in exchange for one murder charge against him being dismissed. He was sentenced to 25 years' imprisonment. Gagné's testimony resulted in Hells Angels leader Maurice "Mom" Boucher being imprisoned for murder in 2002.

Hells Angels
The Hells Angels Motorcycle Club (HAMC) is an international outlaw motorcycle club founded in California whose members typically ride Harley-Davidson motorcycles. In the United States and Canada, the Hells Angels are incorporated as the Hells Angels Motorcycle Corporation. Common nicknames for the club are the "H.A.", "Red & White", and "81". With a membership of over 6,000, and 592 charters in 66 countries, the HAMC is the largest outlaw biker club in the world.

The Hells Angels have a history of involvement in organized crime, such as drug trafficking, and engaging in violent conflict with other outlaw motorcycle clubs. Involvement in organized crime and violence has historically extended to the organization's most senior leadership. Many police and international intelligence agencies, including the United States Department of Justice, the Criminal Intelligence Service Canada, the Australian Federal Police, and Europol, consider the club an organized crime syndicate.
Scytodes thoracica
Scytodes thoracica is a spitting spider, so called because it spits a venomous sticky silken substance over its prey. Its size ranges between 3–6 mm (0.12–0.24 in). The carapace is unusual in sloping upwards towards its rear end, whereas the abdomen slopes downwards.

As a member of family Scytodidae, it has six eyes instead of the eight spiders commonly have.

This particular spitting spider features the presence of silk glands in its cephalothorax. Besides the silk glands in its abdomen, the spider also has silk glands connected with its venom glands. In this way the spider has the ability to make venomous silk. Other arachnids may also have silk glands in their cephalothorax, such as the pseudoscorpions.

Spitting spider
Spitting spiders are a family of araneomorph spiders, the family Scytodidae, first described by John Blackwall in 1864. It contains over 250 species in four genera, of which Scytodes is the best-known.
Zombie King and the Legion of Doom
Zombie King and the Legion of Doom, also known as Enter... Zombie King and Zombie Beach Party, is a 2003 Canadian comedy horror lucha film directed by Stacey Case, written by Bill Marks and Sean K. Robb, and starring Jules Delmore, Raymond Carle, Jennifer Thom, and Rob "El Fuego" Etcheverria as masked Mexican wrestlers (luchadores) who fight zombies.

Luchador films
Luchador films (or Lucha Libre films) are Mexican professional wrestling/action/science-fiction/horror films starring some of the most popular masked luchadores in Lucha Libre. The luchadores are portrayed as superheroes engaging in battles against a range of characters from spies, to vampires and Martians. These films were low-budget and produced quickly. Nearly all lucha films included fist-fighting and wrestling action sequences in and out of the ring which were choreographed and performed by the stars themselves without the aid of stunt doubles. The genre's popularity peaked during the mid-1960s to early-1970s. At least 150 luchador films were produced starting with the 1952 film Huracán Ramírez.
Ali Mall
Ali Mall is a shopping mall at the Araneta City in Cubao, Quezon City. Standing along P. Tuazon Boulevard and bounded by major roads along the Araneta City complex, the mall is located across SM Araneta City, and is owned by The Araneta City Inc. (ACI, Inc.), a subsidiary of the Araneta Group. The mall was named in honor of American boxer Muhammad Ali, who won the Thrilla in Manila at the nearby Araneta Coliseum in 1975. Known as the first major shopping mall with integrated shopping in the Philippines, it was built in 1976, making it one of the oldest malls in the country.

Araneta Coliseum
The Araneta Coliseum, also currently known by naming rights sponsorship as Smart Araneta Coliseum, is an indoor multi-purpose sports arena that is part of the Araneta City in the Cubao area of Quezon City, Philippines. Nicknamed "the Big Dome", it is one of the largest indoor arenas in Asia, and one of the largest clear span domes in the world. The dome measures approximately 108.0 meters (354.3 ft) making it the largest dome in Asia from its opening in 1960 until 2001 when it was surpassed by the Ōita Stadium in Japan with a dome measuring 274.0 meters (899.0 ft).

The Smart Araneta Coliseum is mostly used for indoor sports such as basketball. It is a main venue of the Philippine Basketball Association (PBA). The Big Dome is also used for other sports and events such as boxing, cockfighting, local and international concerts, circuses, religious gatherings, and beauty pageants.
Category of Markov kernels
In mathematics, the category of Markov kernels, often denoted Stoch, is the category whose objects are measurable spaces and whose morphisms are Markov kernels.

It is analogous to the category of sets and functions, but where the arrows can be interpreted as being stochastic.

Several variants of this category are used in the literature. For example, one can use subprobability kernels instead of probability kernels, or more general s-finite kernels.
Also, one can take as morphisms equivalence classes of Markov kernels under almost sure equality; see below.

Measurable space
In mathematics, a measurable space or Borel space is a basic object in measure theory. It consists of a set and a σ-algebra, which defines the subsets that will be measured.

It captures and generalises intuitive notions such as length, area, and volume with a set  of 'points' in the space, but regions of the space are the elements of the σ-algebra, since the intuitive measures are not usually defined for points. The algebra also captures the relationships that might be expected of regions: that a region can be defined as an intersection of other regions, a union of other regions, or the space with the exception of another region.
Verte River (Sainte-Anne River tributary)
The Rivière Verte (English: Green River) is a tributary of the Sainte-Anne River flowing in the town of Saint-Raymond, in the Portneuf Regional County Municipality, in the administrative region of Capitale-Nationale, in Quebec, in Canada.

The lower part of the Verte River is mainly served by the Verte River path which runs on the east bank of the river. The rest of this valley is served by a few forest roads for the needs of forestry and recreational tourism activities.

The main economic activities in the sector are forestry and recreational tourism activities.

The surface of the Verte River (except the rapids areas) is generally frozen from the beginning of December to the end of March, but the safe circulation on the ice is generally made from the end of December to the beginning of March. The water level of the river varies with the seasons and the precipitation; the spring flood occurs in March or April.

Sainte-Anne River (Les Chenaux)
Sainte-Anne River (Les Chenaux), Teyaiar River (Wendat), rivière Sainte-Anne (French), flows from north to south on the north shore in  the estuary section of the St. Lawrence River, in Les Chenaux, Portneuf and La Jacques-Cartier RCM, Mauricie and National Capital regions, Quebec, Canada.
Taepyeongmu
Taepyeongmu (Korean: 태평무; lit. great peace dance) is a Korean dance with the function of wishing a great peace for the country. Its exact origin is unknown, but certain style of the present was composed by Han Sŏngjun (1874–1941), an outstanding master of Korean dance in the beginning of last century. There are three assumptions regarding the origin of Taepyeongmu. One is a court dance occasionally performed by kings during the Joseon period. Therefore, the costumes used by the dancers are similar to the gwanbok (관복; lit. official clothing) formerly worn by Korea's kings and queens.

Taepyeongmu reflects the aesthetic principle of inner dynamics in the stillness, which is the essence of Korean traditional dance.

Taepyeongmu is designated as one of the Important Intangible Cultural Properties of South Korea. Famous practitioners have included Han Young-suk, designated a Living National Treasure for her performances.

National Intangible Cultural Heritage (South Korea)
National Intangible Cultural Heritage (Korean: 국가무형문화재) is a national-level designation within the heritage preservation system of South Korea for intangible cultural heritage. This and other national-level designations are maintained by South Korea's Cultural Heritage Administration (CHA).

There is a separate local-level designation called "Intangible Cultural Properties". That designation is administered by provinces or cities rather than by the CHA.

Practices of particular importance can be designated as Important Intangible Cultural Properties (중요무형문화재).
Uvarovite
Uvarovite is a chromium-bearing garnet group species with the formula: Ca3Cr2(SiO4)3. It was discovered in 1832 by Germain Henri Hess who named it after Count Sergei Uvarov (1765–1855), a Russian statesman and amateur mineral collector. It is classified in the ugrandite group alongside the other calcium-bearing garnets andradite and grossular.

Uvarovite is the rarest of the common members of the garnet group, and is the only consistently green garnet species, with an emerald-green color. It occurs as well-formed fine-sized crystals.

Andradite
Andradite is a mineral species of the garnet group. It is a nesosilicate, with chemical formula Ca3Fe2Si3O12.

Andradite includes four varieties:

Colophonite: a historical variety found in the Scandinavian islands, brownish or reddish in color, often opaque or translucent.: 61

Demantoid: Vivid green in color, one of the most valuable and rare stones in the gemological world.

Melanite: Black in color due to limited substitution of titanium for iron. Also known as "titanian andradite". Forms a solid solution with morimotoite and schorlomite depending on titanium and iron content.

Topazolite: Yellow-green in color and sometimes of high enough quality to be cut into a faceted gemstone, it is rarer than demantoid.

It was first described in 1868 for an occurrence in Drammen, Buskerud, Norway. Andradite was named after the Brazilian statesman, naturalist, professor and poet José Bonifácio de Andrada e Silva (1763–1838).
Long Island Rail Road rolling stock
The Long Island Rail Road owns an electric fleet of 202 M9, 836 M7, and 170 M3 electric multiple unit cars, and a diesel and diesel-electric fleet consisting of 134 C3 bilevel rail cars powered by 24 DE30AC diesel-electric locomotives and 20 DM30AC dual-mode locomotives.

EMD DE30AC and DM30AC
The EMD DE30AC and DM30AC are a class of 46 locomotives built between 1997–1999 by Electro-Motive Division in the Super Steel Plant in Schenectady, New York, for the Long Island Rail Road of the Metropolitan Transportation Authority (MTA) in New York. Originally divided equally between the two types, the fleet currently consists of 24 DE30AC locomotives (diesel power only) and 20 DM30AC locomotives (diesel or third rail power).