hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Weak dimension
In abstract algebra, the weak dimension of a nonzero right module M over a ring R is the largest number n such that the Tor group  is nonzero for some left R-module N (or infinity if no largest such n exists), and the weak dimension of a left R-module is defined similarly. The weak dimension was introduced by Henri Cartan and Samuel Eilenberg (1956, p.122). The weak dimension is sometimes called the flat dimension as it is the shortest length of the resolution of the module by flat modules. The weak dimension of a module is, at most, equal to its projective dimension.

The weak global dimension of a ring is the largest number n such that  is nonzero for some right R-module M and left R-module N. If there is no such largest number n, the weak global dimension is defined to be infinite. It is at most equal to the left or right global dimension of the ring R.

Module (mathematics)
In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a (not necessarily commutative) ring. The concept of a module also generalizes the notion of an abelian group, since the abelian groups are exactly the modules over the ring of integers.

Like a vector space, a module is an additive abelian group, and scalar multiplication is distributive over the operations of addition between elements of the ring or module and is compatible with the ring multiplication.

Modules are very closely related to the representation theory of groups. They are also one of the central notions of commutative algebra and homological algebra, and are used widely in algebraic geometry and algebraic topology.
Carum
Carum is a genus of flowering plants in the family Apiaceae, native to temperate regions of the Old World. A well-recognized species is caraway (C. carvi), the seeds of which are widely used as a spice.

Old World
The "Old World" (Latin: Mundus vetus) is a term for Afro-Eurasia coined by Europeans after 1493, when they became aware of the existence of the Americas. It is used to contrast the continents of Africa, Europe, and Asia in the Eastern Hemisphere, previously thought of by the Europeans as the entire world, with the "New World", a term for the newly encountered lands of the Western Hemisphere, particularly the Americas.
First Presbyterian Church (Dundee, New York)
First Presbyterian Church is a historic Presbyterian church located at Dundee in Yates County, New York. It is a Romanesque style brick structure, with limestone and terra cotta trim, built in 1895. It is distinguished by two multi-story towers, broad cross gables, bold, turret-like pinnacles and finials, and finely crafted corbelled brock trim.

It was listed on the National Register of Historic Places in 2004.

Yates County, New York
Yates County is a county in the U.S. state of New York. As of the 2020 Census, the population was 24,774, making it the third-least populous county in New York. The county seat is Penn Yan. The name is in honor of Joseph C. Yates, who as Governor of New York signed the act establishing the county. The county is part of the Finger Lakes region of the state.

Yates County is included in the Rochester, New York Metropolitan Area.
The Lost Bus
The Lost Bus is a 2025 American survival drama film directed by Paul Greengrass, who co-wrote the screenplay with Brad Ingelsby based on the 2021 book Paradise by Lizzie Johnson. It stars Matthew McConaughey, America Ferrera, Yul Vazquez and Ashlie Atkinson.

The Lost Bus premiered at the Toronto International Film Festival on September 5, 2025, and received a limited theatrical release in the United States on September 19. The film made its streaming debut on Apple TV+ on October 3. It received generally positive reviews, with critical acclaim for its visual effects. At the 98th Academy Awards, it was nominated for Best Visual Effects.

Academy Award for Best Visual Effects
The Academy Award for Best Visual Effects is presented annually by the Academy of Motion Picture Arts and Sciences (AMPAS) for the best achievement in visual effects. It has been handed to four members of the team directly responsible for creating the film's visual effects since 1980.
Tysvær Church
Tysvær Church (Norwegian: Tysvær kyrkje) is a parish church of the Church of Norway in Tysvær Municipality in Rogaland county, Norway. It is located in the village of Tysværvåg. It is the church for the Tysvær parish which is part of the Haugaland prosti (deanery) in the Diocese of Stavanger. The white, wooden church was built in a long church style in 1852 using designs by the architect Hans Linstow. The church seats about 490 people.

Hans Linstow
Hans Ditlev Franciscus (Frants) von Linstow (4 May 1787 – 10 June 1851) was a Danish/Norwegian architect who designed the Royal Palace in Oslo and much of the surrounding park and the street Karl Johans gate.
Kwara state library
Kwara State Library is a public library in Kwara State, Nigeria. The library was established soon after the state was created in 1967 when it was found that the library in Kaduna was inadequate. The library was renovated in 2005, establishing the administrative, technical, and acquisition divisions. Its headquarters are in the state capital Ilorin, with divisional libraries in Jebba and Offa. It was established with the aim of providing qualitative and adequate reading resources for the people of the state, irrespective of age, educational background, status in the state, religion and gender.

Jebba
Jebba is a Yoruba city situated in Moro Local Government of Kwara State, Nigeria. It has views of the River Niger and as of 2007 had an estimated population of 22,411. The town has the benefit of being split into North and South Jebba. South Jebba falling in Kwara State and North in Mokwa Local Government, Niger State. It is home to the largest paper mill in West Africa, as well as being the home of one of Nigeria's three hydro-electric dams. Powering the whole of Nigeria, every day. It has also a monument to Mungo Park, in remembrance of the shipwreck which took place there, while he tried to trace the source of the Niger. More recently it has taken in 16 new residents in the form of volunteers from Nigeria and the UK. Jebba's main quality is its Islamic culture.
James O'Connor (Louisiana politician)
James O'Connor (April 4, 1870 – January 7, 1941) was an American politician who served in the United States House of Representatives from Louisiana's 1st congressional district for six terms as a Democrat. He also served in the Louisiana House of Representatives from 1900 to 1912.

O'Connor was born in New Orleans, Louisiana on April 4, 1870, and went to law school at Tulane University, graduating in 1900. He was a member of the Louisiana House of Representatives from 1900 to 1912 and as assistant city attorney of Orleans Parish from 1918 until 1919, when on June 15, he was elected as a Democrat to the 66th congress of the U.S. House of Representatives. He was reelected to the 67th, 68th, 69th, 70th, and 71st congresses. He lost reelection to Joachim O. Fernández in 1930 and his term ended March 3, 1931. He resumed his law practice and  died in Covington, Louisiana on January 7, 1941. He was buried in Metairie Cemetery.

Covington, Louisiana
Covington is a city in and the parish seat of St. Tammany Parish, Louisiana, United States.  The population was 11,564 at the 2020 United States census. It is located at a fork of the Bogue Falaya and the Tchefuncte River. Covington is part of the Slidell-Mandeville-Covington statistical area.
Rhachitheciaceae
Rhachitheciaceae is a family of haplolepideous mosses in the subfamily Dicranidae. It was formerly placed in the order Dicranales, but is now placed in order Rhabdoweisiales along with family Rhabdoweisiaceae.

Dicranidae
The Dicranidae are a widespread and diverse subclass of mosses in class Bryopsida, with many species of dry or disturbed areas. They are distinguished by their spores; the peristome teeth are haplolepidous with a 4:2:3 formula, and an exostome is absent.
Tau Devi Lal Athletic Stadium (Panchkula)
Tau Devi Lal Stadium is a multi-purpose stadium located in Sector 3, Panchkula, a satellite town in the outskirts of Chandigarh.

It is the home ground of the Indian Super League side RoundGlass Punjab FC, together with Guru Nanak Stadium. It was also used as home ground by AIFF XI in the I-League.

The ground is situated next to the Tau Devi Lal Cricket Stadium and consists of a synthetic running track and a football pitch at the center.

Satellite city
A satellite city or satellite town is a smaller municipality or settlement that is part of (or on the edge of) a larger metropolitan area and serves as a regional population and employment center. It differs from mere suburbs, subdivisions and especially bedroom communities in that it has employment bases sufficient to support its residential population, and conceptually, could be a self-sufficient community outside of its larger metropolitan area. However, it functions as part of a metropolis and experiences high levels of cross-commuting (that is, residents commuting out of and employees commuting into the city).
Janice leMaistre
Janice leMaistre was appointed to the Provincial Court of Manitoba on November 23, 2006.

Judge leMaistre graduated from the Faculty of Law at the University of Manitoba in 1991.  She completed her articles with Manitoba Justice and worked in the Crown's office until her appointment to the bench, developing expertise in matters involving child abuse, elder abuse, spousal abuse prosecutions, inquests, and assize and appellate work. More recently, she held the position of supervising senior Crown attorney in the family violence unit. She took part in the development of a number of key initiatives, such as the award-winning Domestic Violence Front End Project, the child victim support initiative, phase two of zero tolerance and the Early Intervention Program.

Provincial Court of Manitoba
The Provincial Court of Manitoba (French: Cour provinciale du Manitoba) is the lower trial court of the Province of Manitoba. It has mainly a criminal jurisdiction, as well as limited concurrent jurisdiction with the Court of King's Bench in matters of family law that originate outside of Winnipeg.

It also hears all Youth Court cases in the province; all matters subject to Provincial Offences Act, such as those under The Highway Traffic Act and The Liquor Control Act; presides over inquests under The Fatality Inquiries Act; and reviews alleged police misconduct under The Law Enforcement Review Act.

Over 95% of all criminal cases in Manitoba take place in the Provincial Court.
Idaho's 32nd legislative district
Idaho's 32nd legislative district is one of 35 districts of the Idaho Legislature. It currently comprises the area of Bonneville County surrounding the city of Idaho Falls and extending to the western boundary of the county (most of Idaho Falls itself being in district 33).

It is currently represented by State Senator Kevin Cook, Republican of Idaho Falls, Representative Stephanie Mickelsen, Republican of Bonneville County, and Wendy Horman, Republican of Ammon.

Stephanie Mickelsen
Stephanie Jo Mickelsen (born in Idaho Falls, Idaho) is an American politician, farmer, and civic leader serving as a Republican member of the Idaho House of Representatives for District 32A since 2022. Mickelsen played a key negotiating role in the 2024 groundwater–surface water mitigation agreement, which prevented the curtailment of irrigation water and helped keep thousands of acres of farmland in production. In 2025, she and her husband, Mark, were inducted into the Eastern Idaho Agriculture Hall of Fame in recognition of their leadership in farming and irrigation innovation. As a trustee of the College of Eastern Idaho, she supported the college’s expansion of programs and governance, advocating for community-driven workforce training.
Isa Mazzei
Isa Mazzei is an American screenwriter, author, and film producer. She wrote and produced Blumhouse's CAM, a psychological thriller on Netflix starring Madeline Brewer. She is also the author of CAMGIRL, a memoir from Rare Bird Books.

Madeline Brewer
Madeline Kathryn Brewer (born May 1, 1992) is an American actress. She is known for recurring roles in the Netflix series Orange Is the New Black (2013) and Hemlock Grove (2014–2015), and for her starring roles as Janine Lindo in the Hulu series The Handmaid's Tale (2017–2025) and Brontë in the Netflix series You (2025). For The Handmaid's Tale, she was nominated for the Primetime Emmy Award for Outstanding Supporting Actress in a Drama Series at the 73rd Primetime Emmy Awards in 2021.

Brewer's film credits include Braid, Cam (both 2018), and The Ultimate Playlist of Noise (2021).
Sea of Fear
Sea of Fear is a 2006 American slasher film produced, written and directed by Andrew Schuth, and starring Edward Albert, Katherine Bailess, Kieren Hutchison, Burgess Jenkins, Adam Mayfield, Christopher Showerman and Caroline Walker. The film is about a group of people on a boat who fall victim to a killing spree. It was released direct-to-DVD on August 22, 2006, by Lionsgate.

Edward Albert
Edward Laurence Albert (February 20, 1951 – September 22, 2006) was an American actor. The son of actor Eddie Albert and Mexican actress Margo, he starred opposite Goldie Hawn in Butterflies Are Free (1972), a role for which he won a Golden Globe Award for New Star of the Year. He was nominated for Best Actor in a Motion Picture – Musical or Comedy. Albert starred in more than 130 films and television series, including Midway, The Greek Tycoon, Galaxy of Terror, The House Where Evil Dwells, The Yellow Rose, Falcon Crest and Power Rangers Time Force.
Keisei AE series (2009)
The Keisei AE series (京成AE形) is a DC electric multiple unit (EMU) train type operated by the private railway operator Keisei Electric Railway on Skyliner limited express services to and from Narita International Airport in Japan via the Keisei Narita Airport Line. The first set was delivered in May 2009, and entered service in July 2010, replacing the Keisei AE100 series EMUs previously used on these services.

Limited express
In public transport, a limited express is a special express train or bus service that makes fewer stops (hence “limited”) than local, limited-stop, and regular express services along the same corridor. Limited expresses are typically the most direct service on a line, serving only major destinations such as central and interchange stations, making them the fastest option for inter-city travelers.
Zach Moss
Zach Marquis Moss, known as Zach Moss, born on July 14, 1981, in Pompano Beach, Florida, is an American professional basketball player playing at the center position. Unselected in the 2004 NBA draft, he moved to Europe for his professional career, playing mainly in France.

Pompano Beach, Florida
Pompano Beach (/ˈpɒmpənoʊ/ POM-pə-noh) is a city in Broward County, Florida, United States. It is located along the coast of the Atlantic Ocean, just north of Fort Lauderdale and 36 miles north of Miami. The nearby Hillsboro Inlet forms part of the Atlantic Intracoastal Waterway. It is a principal city of the Miami metropolitan area, which was home to 6.14 million people in 2020. As of the 2020 census, the population was 112,046, making it the sixth-largest city in Broward County, the ninth-largest city in the South Florida metropolitan area, and the 20th-largest city in Florida.

Pompano Beach Airpark, located within the city, is the home of the Goodyear Blimp Spirit of Innovation.
Greatest Hits 1990–1995
Greatest Hits 1990–1995 is the second compilation album by American country music band Sawyer Brown. It features eight top 5 hits from four albums for Capitol/Curb: 1990's Buick, 1992's The Dirt Road and Cafe on the Corner, and 1993's Outskirts of Town. Two new tracks — "This Time" and "I Don't Believe in Goodbye" — are also included on this album. These songs were both released in 1995, peaking at #2 and #4, respectively, on the Billboard Hot Country Singles & Tracks (now Hot Country Songs) charts.

Curb Records
Curb Records (also known as Asylum-Curb and formerly known as MCG Curb) is an American record label started by Mike Curb, originally as Sidewalk Records in 1963. From 1969 to 1973, Curb merged with MGM Records where Curb served as President of MGM and Verve Records.
Alaska Senate district Q
Alaska Senate district Q is one of 20 districts of the Alaska Senate. It has been represented by Republican Robert Myers Jr. since 2023. Myers previously represented District B from 2021−2023. District Q is located in the Fairbanks North Star Borough and encompasses the entirety of Alaska's 33th House of Representatives district and 34th House of Representatives district, including North Pole, Badger, Steele Creek, Two Rivers, Eielson AFB, and Salcha.

From 2013 to 2022, the district covered portions of Skagway, Haines Borough, Juneau, and Hoonah–Angoon Census Area - these areas are now encompassed by district A and district B.

Hoonah–Angoon Census Area, Alaska
Hoonah–Angoon Census Area is a census area located in the U.S. state of Alaska. As of the 2020 census, the population was 2,365, up from 2,150 in 2010. It is part of the unorganized borough and therefore has no borough seat. Its largest community is the city of Hoonah.
Phoebis philea
Phoebis philea, the orange-barred sulphur, is a species of butterfly found in the Americas including the Caribbean.

The wingspan is 68 to 80 mm. There are two to three generations per year in Florida and one in the northern part of the range with adults on wing from mid to late summer. The species habitat is in tropical scrub, gardens, fields, and forest edges. Orange-barred sulphurs are often found in large dense groups of mixed species, including the statira sulphur (Aphrissa statira), apricot sulphur (Phoebis argante), and the straight-line sulphur (Rhabdodryas trite). The species eats nectar from red-colored plants.

The larvae feed on Cassia species.

Nectar
Nectar is a viscous, sugar-rich liquid produced by plants in glands called nectaries, either within the flowers with which it attracts pollinating animals, or by extrafloral nectaries, which provide a nutrient source to animal mutualists, which in turn provide herbivore protection. Common nectar-consuming pollinators include mosquitoes, hoverflies, wasps, bees, butterflies and moths, hummingbirds, honeyeaters and bats. 
Nectar is an economically important substance as it is the sugar source for honey.

Nectar is also useful in agriculture and horticulture because the adult stages of some predatory insects feed on nectar. For example, a number of predacious or parasitoid wasps (e.g., the social wasp species Apoica flavissima) rely on nectar as a primary food source. In turn, these wasps then hunt agricultural pest insects as food for their young.

Nectar is most often associated with flowering plants (angiosperms), but it is also produced by other groups, including ferns.
Stéphane Lasme
Yann Ulrich Stéphane Lasme (born December 17, 1982) is a Gabonese former professional basketball player. He played college basketball at the University of Massachusetts (UMass), with the UMass Minutemen, and he was selected by the Golden State Warriors in the second round, 46th overall, in the 2007 NBA draft. In 2016 Stephane won the EuroCup Championship and earned the Finals MVP award, as well as, an All-EuroLeague Second Team selection in 2014 and won the EuroLeague Best Defender award in 2013, among others.

2015–16 Eurocup Basketball
The 2015–16 Eurocup Basketball season was the 14th season of Euroleague Basketball's secondary level professional club basketball tournament, and the eighth season since it was renamed from the ULEB Cup to the Eurocup.

The 2016 Eurocup Finals were played between Galatasaray Odeabank and SIG Strasbourg, and won by Galatasaray, which was their first title in a European-wide competition. As the winners of the 2015–16 Eurocup Basketball competition, Galatasaray qualified for the European top-tier level 2016–17 EuroLeague.
Devil's garden
In myrmecology and forest ecology, a devil's garden (Kichwa: Supay chakra) is a large stand of trees in the Amazon rainforest consisting of at most three tree species and the ant Myrmelachista schumanni. Devil's gardens can reach sizes of up to 600 trees and are inhabited by a single ant colony, containing up to 3 million workers and 15,000 queens. In a 2002 to 2004 census of the Amazon, devil's gardens were shown to have grown by 0.7% per year. The relationship between tree and ant may persist for more than 800 years. A devil's garden is considered an example of mutualism, a type of symbiotic relationship between species.

Kichwa language
Kichwa (Kichwa shimi, Runashimi, also Spanish Quichua) is a Quechuan language that includes all Quechua varieties of Ecuador and Colombia (Inga), as well as extensions into Peru. It has an estimated half million speakers.
Team Rezofficial
Team Rezofficial was a Canadian aboriginal hip hop group (primarily Cree from First Nations surrounding Hobbema, Alberta). Founded by former members of War Party, the group included musicians Karmen "Hellnback" Omeasoo, Drezus (Jeremiah Manitopyes), Jay Mak, Big Stomp, Lakes Aqui, Tomislav Milardovic, and Big Slim.

Drezus
Jeremiah Manitopyes (born ; August 28, 1982), better known by his stage name Drezus (drē-zəˈs) is a Plains Cree rapper and activist based in Calgary, Alberta. Drezus' accomplishments in the field of music include awards for Best Music Video, Best Producer/Engineer, Best Rap/Hip Hop Album, and Indigenous Entertainer of the Year. These awards followed the success of his album, Indian Summer, released in the summer of 2014. However, Manitopyes' life was not always filled with awards and recognition. Growing up as a First Nations person, he faced multiple jail stints and violence in his life. Manitopyes has found meaning in his music and is working to share it with those who will listen.
Leirungskampen
Leirungskampen is a mountain in Vågå Municipality in Innlandet county, Norway. The 2,079-metre (6,821 ft) tall mountain is located in the Jotunheimen mountains within Jotunheimen National Park. The mountain sits about 60 kilometres (37 mi) southwest of the village of Vågåmo and about 20 kilometres (12 mi) northwest of the village of Beitostølen. The mountain is surrounded by several other notable mountains including Austre Leirungstinden to the north Kalvehøgde and Rasletinden to the east, Torfinnstindene to the southwest, and Kvitskardtinden and Mesmogtinden to the west.

Beitostølen
Beitostølen is a village in Øystre Slidre Municipality in Innlandet county, Norway. The village is located at an elevation of about 900 meters (3,000 ft) above mean sea level on the southern edge of the Valdresflye mountain plateau. The villages of Skammestein and Hegge lie about 10 kilometres (6.2 mi) to the southeast of Beitostølen. The lake Øyangen lies a short distance to the southwest of the village. The Norwegian County Road 51 runs through the village.

The 1.08-square-kilometre (270-acre) village has a population (2024) of 342 and a population density of 317 inhabitants per square kilometre (820/sq mi).