hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Simplicial commutative ring
In algebra, a simplicial commutative ring is a commutative monoid in the category of simplicial abelian groups, or, equivalently, a simplicial object in the category of commutative rings. If A is a simplicial commutative ring, then it can be shown that  is a ring and  are modules over that ring (in fact,  is a graded ring over .)

A topology-counterpart of this notion is a commutative ring spectrum.

Simplicial group
In mathematics, more precisely, in the theory of simplicial sets, a simplicial group is a simplicial object in the category of groups. Similarly, a simplicial abelian group is a simplicial object in the category of abelian groups. A simplicial group is a Kan complex (in particular, its homotopy groups make sense). The Dold–Kan correspondence says that a simplicial abelian group may be identified with a chain complex. In fact it can be shown that
any simplicial abelian group  is non-canonically homotopy equivalent to a product of Eilenberg–MacLane spaces,

A commutative monoid in the category of simplicial abelian groups is a simplicial commutative ring.

Eckmann (1945) discusses a simplicial analogue of the fact that a cohomology class on a Kähler manifold has a unique harmonic representative and deduces Kirchhoff's circuit laws from these observations.
Katie Ohe
Katie Ohe, AOE RCA LL. D. (born Katherine Dorothea Minna von der Ohe in 1937, near Peers, Alberta) is a sculptor living in Calgary, Alberta. Ohe is known as one of the first artists to make abstract sculpture in Alberta, and has been influential as a teacher at the Alberta College of Art and Design. She is best known for her abstract and kinetic sculptures.

Alberta University of the Arts
The Alberta University of the Arts (AUArts) is a public art university located in Calgary, Alberta, Canada. The university is a co-educational institution that operates four academic schools.

The institution originated from the art department established by the Southern Alberta Institute of Technology (SAIT) in 1926, later renamed the Alberta College of Art in 1960. It was separated from SAIT in 1985, becoming an independent, publicly funded college. In 1995, the university was granted the authority to issue Bachelor of Fine Arts degrees and was renamed the Alberta College of Art and Design (ACAD). The institution was designated a university by the government of Alberta in 2018 and was renamed the Alberta University of the Arts in the following year, to reflect its change in status.
Cape Route
The European-Asian sea route, commonly known as the sea route to India or the Cape Route, is a shipping route from the European coast of the Atlantic Ocean to Asia's coast of the Indian Ocean passing by the Cape of Good Hope and Cape Agulhas at the southern edge of Africa. The first recorded completion of the route was made in 1498 by Portuguese explorer Vasco da Gama, the admiral of the first Portuguese Armadas bound eastwards to make the discovery. The route was important during the Age of Sail, but became partly obsolete as the Suez Canal opened in 1869.

Portuguese India Armadas
The Portuguese Indian Armadas (Portuguese: Armadas da Índia; meaning "Armadas of India") were the fleets of ships funded by the Crown of Portugal, and dispatched on an annual basis from Portugal to India. The principal destination was Goa, and previously Cochin. These armadas undertook the Carreira da Índia ('India Run') from Portugal, following the maritime discovery of the Cape route, to the Indian subcontinent by Vasco da Gama in 1497–99.

The annual Portuguese India armada was the main carrier of the spice trade between Europe and Asia during the 16th Century. The Portuguese monopoly on the Cape route was maintained for a century, until it was breached by Dutch and English competition in the early 1600s. The Portuguese India armadas declined in importance thereafter. During the Dutch occupation of Cochin and the Dutch siege of Goa, the harbour of Bom Bahia, now known as Mumbai (Bombay), off the coast of the northern Konkan region, served as the standard diversion for the armadas.
Wind Over Water
Wind Over Water: The Cape Wind Story is an independent documentary film which chronicles the controversy over the Cape Wind Project. The film, by journalist Ole Tangen Jr. documented both sides of the debate as it unfolded on the Cape. An independent production, the filmmaker interviewed numerous people involved with the project including Jim Gordon of Cape Wind and Isaac Rosen, then director of the Alliance to Protect Nantucket Sound.

Focusing also on wind power in general, Wind Over Water features aerial footage of the offshore wind farm at Horns Rev in Denmark and footage from various wind farms in the US.

The film had its world premiere on December 6, 2003, at Lillie Auditorium, Woods Hole, MA.  It has also been screened across the USA and in Canada and New Zealand.

Cape Wind
The Cape Wind Project was a proposed offshore wind energy project on Horseshoe Shoal in Nantucket Sound off Cape Cod, Massachusetts, United States. It was projected to generate 1,500 gigawatt hours of electricity a year at a first-dollar cost of $2.6 billion.

Cape Wind had arranged to borrow $2 billion from The Bank of Tokyo-Mitsubishi UFJ (BTMU), and Siemens had agreed to supply turbines for the project. Some construction began in 2013, thereby qualifying the project for the federal production tax credit, which was expiring at the end of the year.

It was approved but then lost several key contracts and suffered several licensing and legislative setbacks. National Grid and Northeast Utilities eventually terminated their power purchase agreements in January 2015, making it difficult to obtain the necessary financing for the project to progress.

The developer, Jim Gordon of Energy Management Inc., eventually terminated the lease rights for the site in late 2017.
Littlehaven railway station
Littlehaven railway station serves the areas of Littlehaven, Holbrook and Roffey in the northeast of the town of Horsham, West Sussex, England. It is on the Arun Valley Line, 36 miles 50 chains (58.9 km) down the line from London Bridge, measured via Redhill.

Horsham
Horsham (/ˈhɔːrʃəm/) is a market town on the upper reaches of the River Arun on the fringe of the Weald, in West Sussex, England. The town lies 31 miles (50 km) south-south-west of London, 18.5 miles (30 km) north-west of Brighton and 26 miles (42 km) north-east of the county town of Chichester. Nearby towns include Crawley to the north-east and Haywards Heath and Burgess Hill to the south-east. It is the administrative centre of the Horsham district.
Lyall Islands
Lyall Islands (70°41′00″S 167°20′00″E﻿ / ﻿70.6833°S 167.3333°E﻿ / -70.6833; 167.3333﻿ (Lyall Islands)) is a group of four islands, Unger Island, Surgeon Island, Novosad Island and Hughes Island, lying just outside the entrance to Yule Bay, Victoria Land, Antarctica.

Yule Bay
Yule Bay (70°44′S 166°40′E﻿ / ﻿70.733°S 166.667°E﻿ / -70.733; 166.667﻿ (Yule Bay)) is a bay indenting the coast of northern Victoria Land between Cape Hooker and Cape Dayman. An inner (western) portion of the bay is circumscribed by Bates Point and Ackroyd Point.
South Carolina Highway 150
South Carolina Highway 150 (SC 150) is a 33.580-mile (54.042 km) primary state highway in the U.S. state of South Carolina. The highway connects Pacolet and Gaffney with the more rural areas of Spartanburg and Cherokee counties.

Spartanburg County, South Carolina
Spartanburg County is a county located on the northwestern border of the U.S. state of South Carolina. As of the 2020 census, the population was 327,997, making it the fifth-most populous county in South Carolina. Its county seat is Spartanburg. Spartanburg County is the largest county within the Spartanburg, SC Metropolitan Statistical Area, which is also included in the Greenville-Spartanburg-Anderson, SC Combined Statistical Area.
Richard Bertram (mathematician)
Richard Bertram is a mathematician who works in the field of biomathematics. He is an endowed professor and head of the biomathematics program at Florida State University and a fellow of the Society for Mathematical Biology (SMB).

Society for Mathematical Biology
The Society for Mathematical Biology (SMB) is an international association co-founded in 1972 in the United States by George Karreman, Herbert Daniel Landahl and (initially chaired) by Anthony Bartholomay for the furtherance of joint scientific activities between Mathematics and Biology research communities. The society publishes the Bulletin of Mathematical Biology, as well as the quarterly SMB newsletter.
Christian-Social People's Party (Liechtenstein)
The Christian-Social People's Party (German: Christlich-Soziale Volkspartei, CSV), often shortened to simply the People's Party (German: Volkspartei, VP), was a social liberal political party in Liechtenstein. It tended to be more popular in the Oberland, and supported closer ties with Switzerland as opposed to Austria. Founded in 1918, the Christian-Social People's Party and the Progressive Citizens' Party (FBP) were the first political parties in Liechtenstein. In 1936, it merged with the Liechtenstein Homeland Service to form the Patriotic Union.

Patriotic Union (Liechtenstein)
The Patriotic Union (German: Vaterländische Union, lit. 'Fatherland Union', VU) is a liberal-conservative political party in Liechtenstein. The VU is one of the two major political parties in Liechtenstein, along with the monarchist-conservative Progressive Citizens' Party (FBP). The VU is the relatively more liberal of the two parties, supporting a constitutional monarchy and advocating for greater democratic governance. Since 2021, it is led by Thomas Zwiefelhofer and holds ten seats in the 25-member Landtag of Liechtenstein.
Øvre Rendal Municipality
Øvre Rendal is a former municipality in the old Hedmark county, Norway. The 1,829-square-kilometre (706 sq mi) municipality existed from 1880 until its dissolution in 1965. The area is now part of Rendalen Municipality in the traditional district of Østerdalen. The administrative centre was the village of Bergset where Øvre Rendal Church is located.

Prior to its dissolution in 1965, the 1,829-square-kilometre (706 sq mi) municipality was the 35th largest by area out of the 525 municipalities in Norway. Øvre Rendal Municipality was the 434th most populous municipality in Norway with a population of about 1,665. The municipality's population density was 0.9 inhabitants per square kilometre (2.3/sq mi) and its population had decreased by 9.2% over the previous 10-year period.

Rendalen Municipality
Rendalen is a municipality in Innlandet county, Norway. It is located in the traditional district of Østerdalen. The administrative centre of the municipality is the village of Bergset. Other villages in the municipality include Hanestad, Otnes, Sjølisand, Unset, Åkre, and Åkrestrømmen.

The 3,180-square-kilometre (1,230 sq mi) municipality is the 13th largest by area out of the 357 municipalities in Norway. Rendalen is the 292nd most populous municipality in Norway with a population of 1,846. The municipality's population density is 0.6 inhabitants per square kilometre (1.6/sq mi) and its population has decreased by 2.4% over the previous 10-year period.
Un rescate de huevitos
Little Eggs: An African Rescue (released in Mexico, Latin America and the United States as Un rescate de huevitos; formerly Huevitos en fuga) is a 2021 Mexican animated adventure comedy film produced by Huevocartoon Producciones.

The Spanish voice cast returned to reprise their respective roles, joined by new cast members including Jesús Ochoa, Mauricio Barrientos, Mara Escalante, and comedian duo Freddy and Germán Ortega.

The fourth film in the Huevos franchise, as well the second CG installment following Un gallo con muchos huevos and a soft reboot, it was released in Mexico on August 12, 2021. It was followed by a limited theatrical release in the United States a few weeks later on August 27, 2021 by Pantelion Films.

Upon its release, the film received acclaim, with praise towards the animation and positive messages, with many favorable comparisons to DreamWorks Animation. It grossed $50 million pesos (US$2.43 million) in its theatrical run in Mexico.

Huevocartoon
Huevocartoon Producciones is a Mexican animation studio and multimedia entertainment company founded in November 2001 by Gabriel and Rodolfo Riva Palacio Alatriste, Carlos Zepeda Chehaibar, and Rodolfo Riva Palacio Velasco. It consists of a web series, six feature films, a video game, a television special, and advertisements, featuring anthropomorphic eggs in a civilized and humorous setting.
Esperides Kallitheas
Esperides Kallitheas is a women's basketball club, based in Kallithea, Athens. Esperides was founded in 1995, and at the end of 2012, changed its name and its emblem, and restarted as GS Ikaros kallitheas. This was because since Esperides faced financial problems and wasn't able to continue in the Greek Women's League championship. Esperides has won two Greek Women's League championships and four Greek Women's Cups. In 2017-18 season Ikaros Kallitheas renamed again Esperides Kallitheas.

Greek Women's Basketball Cup
The Greek Women's Basketball Cup is the national women's basketball cup competition of Greece. It began with the 1995–96 season, and it is organised by the Hellenic Basketball Federation (EOK). So far, eleven clubs have won the cup. Most of them are based in Athens. Olympiacos Piraeus is based in Piraeus and Apollon Kalamarias is based in Kalamaria, in Thessaloniki.
Basis (linear algebra)
In mathematics, a set B of elements of  a vector space V is called a basis (pl.: bases) if every element of V can be written in a unique way as a finite linear combination of elements of B. The coefficients of this linear combination are referred to as components or coordinates of the vector with respect to B. The elements of a basis are called basis vectors.

Equivalently, a set B is a basis if its elements are linearly independent and every element of V is a linear combination of elements of B. In other words, a basis is a linearly independent spanning set.

A vector space can have several bases; however all the bases have the same number of elements, called the dimension of the vector space.

This article deals mainly with finite-dimensional vector spaces. However, many of the principles are also valid for infinite-dimensional vector spaces.

Basis vectors find applications in the study of crystal structures and frames of reference.

Linear combination
In mathematics, a linear combination or superposition is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants). The concept of linear combinations is central to linear algebra and related fields of mathematics. Most of this article deals with linear combinations in the context of a vector space over a field, with some generalizations given at the end of the article.
Monster truck
A monster truck is a specialized off-road vehicle with a heavy duty suspension, four-wheel steering, large-displacement V8 engines, and oversized tires constructed for competition and entertainment uses. Originally created by modifying stock pickup trucks and sport utility vehicles (SUVs), they have evolved into purpose-built vehicles with tube-frame chassis and fiberglass bodies. A competition monster truck is typically 12 feet (3.7 m) tall, equipped with 66-inch (1.7 m) off-road tires, and several tons in weight—those competing in Monster Jam events, for instance, must weigh at least five short tons, or 10,000 pounds (4,500 kg).

Monster trucks developed in the late 1970s and came into the public eye in the early 1980s as side acts at popular motocross, tractor pulling, and mud bogging events, where they were used in car-crushing demonstrations. Today they are usually the main attraction, with motocross, mud bogging, ATV racing, or demolition derbies as supporting events.

Bigfoot (truck)
Bigfoot is a monster truck. The original Bigfoot began as a 1974 Ford F-250 pickup that was modified by its owner Bob Chandler beginning in 1975. By 1979, the modifications were so extensive, the truck came to be regarded as the first monster truck. Other trucks with the name "Bigfoot" have been introduced in the years since, and it remains a well-known monster truck moniker in the United States.
Old Saxon Baptismal Vow
The Old Saxon Baptismal Vow, also called the Old Saxon Catechism, Utrecht Baptismal Vow, and Abrenuntiatio Diaboli, is a baptismal vow that was found in a ninth-century manuscript in a monastery library in Mainz, Germany. The vow mentions three Germanic pagan gods of the Saxon pagans which the reader is to forsake: Uuôden ("Woden"), Thunaer and Saxnōt. Scholar Rudolf Simek comments that the vow is of particular interest because it is the sole instance of the god Saxnōt mentioned in a religious context. One of many baptismal vows, it is now archived in the Vatican Codex pal. 577.

Not withstanding the conventional name of the text, there is a dispute as to how the language of the text should be categorised, as it shows features of Old English, Old Low Franconian (Old Dutch), and Old Saxon (Old Low German).

Saxon paganism
Saxon paganism, sometimes known as Continental Saxon paganism or Saxon heathenism, refers to the religion of the Saxons before their Christianization in the wake of the Saxon Wars (772–804) of Charlemagne. Distinct from its closely related Anglo-Saxon counterpart, Saxon paganism was a polytheistic belief system and part of the larger Continental Germanic mythology, with a focus on the sacredness of pillar-like objects (such as Irminsul) and sacred groves, many of which were destroyed.

After Christianization, monasteries repurposed Saxon beliefs and values in new Christian literature, such as the Old Saxon epic poem Heliand, and used the region as a barrier between Christendom and the Slavic and Norse pagans to the north and east. Reportedly, paganism continued among the Saxons until the 12th century.
Gherardello da Firenze
Gherardello da Firenze (also Niccolò di Francesco or Ghirardellus de Florentia) (c. 1320–1325 – 1362 or 1363) was an Italian composer of the Trecento. He was one of the first composers of the period sometimes known as the Italian ars nova.

Music of the Trecento
The Trecento was a period of vigorous activity in Italy in the arts, including painting, architecture, literature, and music. The music of the Trecento paralleled the achievements in the other arts in many ways, for example, in pioneering new forms of expression, especially in secular song in the vernacular language, Italian. In these regards, the music of the Trecento may seem more to be a Renaissance phenomenon; however, the predominant musical language was more closely related to that of the late Middle Ages, and musicologists generally classify the Trecento as the end of the medieval era. Trecento means "three hundred" in Italian but is usually used to refer to the 1300s.  However, the greatest flowering of music in the Trecento happened late in the century, and the period is usually extended to include music up to around 1420.
Frederick Kitaka
Frederick Mutebi Kitaka, is a Ugandan physicist, mathematician, accountant, entrepreneur, and industrialist. He is the executive director of finance at Quality Chemical Industries Limited (QCIL), a Ugandan limited liability company. QCIL is the only Sub-Saharan pharmaceutical company that is licensed to manufacture triple therapy antiretroviral medication. He is also a shareholder in the company and sits on its board of directors.

His expertise in financial planning and management, economic policy, investment management, and corporate governance has positioned him as a leading figure in his field. Mutebi Kitaka's commitment to societal improvement through his philanthropic efforts further highlights his multifaceted impact on his community and beyond.

Francis Kitaka
Francis Xavier Kitaka (1 January 1935 – 12 September 2020) was a Ugandan biochemist, veterinarian, entrepreneur and industrialist. He is the former chairman of Cipla Quality Chemical Industries Limited (CIPLAQCIL), located in Luzira, a suburb of Kampala, Uganda's capital and largest city. CIPLAQCIL is the only company in Sub-Saharan Africa, that is authorized to manufacture triple therapy antiretroviral drugs.
Union Arch Bridge
The Union Arch Bridge, also called the Cabin John Bridge, is a historic masonry structure in Cabin John, Maryland.  It was designed as part of the Washington Aqueduct. The bridge construction began in 1857 and was completed in 1864. The roadway surface was added later. The bridge was designed by Alfred Landon Rives and built by the United States Army Corps of Engineers under the direction of Lieutenant Montgomery C. Meigs.

The Union Arch Bridge was designated as a National Historic Civil Engineering Landmark by the American Society of Civil Engineers in 1972 and was listed in the National Register of Historic Places in 1973.

Alfred L. Rives
Alfred Landon Rives  (March 25, 1830, Paris, France – February 27, 1903, Castle Hill, Virginia) was an American engineer. He worked on various railroads, bridges, buildings and canals in Northern and Central America. He also served as a Confederate States Army officer during the American Civil War.
Foxhall (horse)
Foxhall (1879–1904) was an American-bred  Thoroughbred racehorse and sire. He was trained in Britain during a racing career that lasted from 1880 until June 1882 during which he ran eleven times and won seven races. As a three-year-old in 1881, he proved himself to be the outstanding colt of the season in Europe, winning the Grand Prix de Paris and becoming the second of only three horses to complete the Autumn Double of the Cesarewitch and the Cambridgeshire.

Cesarewitch Handicap
The Cesarewitch Handicap is a flat handicap horse race in Great Britain open to horses aged three years or older. It is run at Newmarket over a distance of 2 miles and 2 furlongs (3,621 metres), and finishes on the Rowley Mile. It is scheduled to take place each year in October.
Wodonga Raiders Football Club
The Wodonga Raiders Football & Netball Club is an Australian rules football and netball club based in the city of Wodonga. The Raiders' football and netball squads currently compete in the Ovens & Murray Football League. The origins of the club dates back to the Kergunyah Football Club.

Wodonga
Wodonga (/wəˈdɒŋɡə/ wə-DONG-gə; Pallanganmiddang: Wordonga) is a city on the Victorian side of the border with New South Wales, 324 kilometres (201 mi) north-east of Melbourne, Australia. It is part of the twin city of Albury–Wodonga and is located all within the boundaries of the City of Wodonga LGA and is separated from its twin city in New South Wales, Albury, by the Murray River. As of the 2021 Census, Wodonga and its suburbs have a population of 37,839 and combined with Albury, the two cities form the urban area Albury–Wodonga with a population of 97,793. There are multiple suburbs of Wodonga including Bandiana, Baranduda, Barnawartha, Bonegilla, Ebden, Huon Creek, Killara, Leneva and Staghorn.

Wodonga produces a gross domestic product of $2.57 billion per year on average.