hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Sun Products
The Sun Products Corporation (now Henkel North American Consumer Goods Inc.) was a United States–based manufacturer of laundry detergent, fabric softeners, and other household cleaning products. With annual sales of $2.0 billion, the company's brands included All, Wisk (discontinued), Snuggle, Sun, Surf, and Sunlight. Sun Products holds the second largest market share in the $10 billion North American fabric care market as of 2010. In addition, Sun Products was the manufacturing partner for many retailer brand laundry and dish products in North America.

Sun Products maintains manufacturing facilities in Bowling Green, Kentucky; Pasadena, Texas; Dyersburg, Tennessee; and Salt Lake City, Utah. It has research and development facilities in Trumbull, Connecticut; Salt Lake City, Utah; Bentonville, Arkansas, and Toronto, Ontario, Canada.

Henkel North American Consumer Goods
Henkel Corporation, doing business as Henkel North American Consumer Goods and formerly The Dial Corporation, is an American company based in Stamford, Connecticut. It is a manufacturer of personal care and household cleaning products and is a subsidiary of multinational company Henkel AG & Co. KGaA (Henkel Consumer Goods Inc.).

Dial began as a brand of deodorant soap manufactured by Armour and Company, a Chicago, Illinois, meatpacking firm, and through a series of mergers, acquisitions, and divestitures, emerged by the 2000s as a stand-alone personal-care and household-cleaning products company. Henkel acquired The Dial Corporation in 2004. Dial soap remains one of the company's major brands.
Carathéodory's theorem (convex hull)
Carathéodory's theorem is a theorem in convex geometry. It states that if a point  lies in the convex hull  of a set , then  lies in some -dimensional simplex with vertices in . Equivalently,  can be written as the convex combination of  or fewer points in . Additionally,  can be written as the convex combination of at most  extremal points in , as non-extremal points can be removed from  without changing the membership of  in the convex hull.

An equivalent theorem for conical combinations states that if a point  lies in the conical hull  of a set , then  can be written as the conical combination of at most  points in .: 257

Two other theorems of Helly and Radon are closely related to Carathéodory's theorem: the latter theorem can be used to prove the former theorems and vice versa.

The result is named for Constantin Carathéodory, who proved the theorem in 1911 for the case when  is compact. In 1914 Ernst Steinitz expanded Carathéodory's theorem for arbitrary sets.

Radon's theorem
In geometry, Radon's theorem on convex sets, published by Johann Radon in 1921, states that:

Any set of d + 2 points in Rd can be partitioned into two sets whose convex hulls intersect.

A point in the intersection of these convex hulls is called a Radon point of the set.

For example, in the case d = 2, any set of four points in the Euclidean plane can be partitioned in one of two ways. It may form a triple and a singleton, where the convex hull of the triple (a triangle) contains the singleton; alternatively, it may form two pairs of points that form the endpoints of two intersecting line segments.
Schubertiade Vorarlberg
The Schubertiade Vorarlberg is a music festival in Vorarlberg (Austria). A Schubertiade is an event dedicated to the life and works of the Austrian composer Franz Schubert. The Schubertiade Vorarlberg is one the most known Schubertiades in the world.

Schubertiade
A Schubertiade (also spelled Schubertiad) is an event held to celebrate the music of Franz Schubert (1797–1828). Modern Schubertiades also include concert series and festivals, such as the Schubertiade Vorarlberg.
Congress of Dibër
The Congress of Dibër (original name promoted by the Ottoman authorities: Ottoman-Albanian Joint Constitutional Congress) was a congress held by members of Albanian committee in Debar (then part of the Ottoman Empire, now part of North Macedonia) from July 23 to July 29, 1909. The congress was chaired by Vehbi Dibra, Grand Mufti of the Sanjak of Dibra and was sponsored by the government of the Young Turks. It was held on the first anniversary of the Young Turk Revolution and was a countermeasure on the Latin script based Albanian alphabet which came out of the Congress of Manastir.

Congress of Manastir
The Congress of Manastir (Albanian: Kongresi i Manastirit) was a national conference held in the city of Manastir (now Bitola) from November 14 to 22, 1908, with the goal of standardizing the Albanian alphabet. November 22 is now a commemorative day in Albania, Kosovo, and North Macedonia as well as among the Albanian diaspora known as Alphabet Day (Albanian: Dita e Alfabetit). Prior to the Congress, the Albanian language was represented by a combination of six or more distinct alphabets, plus a number of sub-variants.
Jerry Falwell Jr.
Jerry Lamon Falwell Jr. (/ˈfɔːlwɛl/; born June 17, 1962) is an American evangelical attorney and former academic administrator. Starting with his 2007 appointment upon the death of his father, televangelist and conservative activist Jerry Falwell, Falwell served as the president of Liberty University in Lynchburg, Virginia, until resigning in August 2020 amid a sex scandal.

Jerry Falwell
Jerry Laymon Falwell (August 11, 1933 – May 15, 2007) was an American Baptist pastor, televangelist, and conservative activist. He was the founding pastor of the Thomas Road Baptist Church, a megachurch in Lynchburg, Virginia. He founded Lynchburg Christian Academy, later renamed Liberty Christian Academy, in 1967, founded Liberty University in 1971, and co-founded the Moral Majority in 1979.
Mount Meeker
Mount Meeker is a high mountain summit of the Twin Peaks Massif in the northern Front Range of the Rocky Mountains of North America.  The 13,916-foot (4,242 m) thirteener is located in the Rocky Mountain National Park Wilderness, 4.8 miles (7.7 km) west by north (bearing 285°) of the community of Allenspark in Boulder County, Colorado, United States.

Longs Peak
Longs Peak is a mountain in the northern Front Range of the Rocky Mountains of North America. The 14,256-foot (4345.22 m) fourteener is located in the Rocky Mountain National Park Wilderness, 9.6 miles (15.5 km) southwest by south (bearing 209°) of the Town of Estes Park, Colorado, United States. Longs Peak is the northernmost fourteener in the Rocky Mountains and the highest point in Boulder County and Rocky Mountain National Park.  The mountain was named in honor of explorer Stephen Harriman Long and is featured on the Colorado state quarter.
Basketball at the 2019 SEA Games – Men's 3x3 tournament
The men's 3x3 basketball tournament at the 2019 SEA Games was held at the Filoil Flying V Centre, San Juan, Metro Manila from 1 to 2 December. This was the first time 3x3 contest in the games. A tournament for women was also organized.

Basketball at the 2019 SEA Games – Women's 3x3 tournament
The women's 3x3 basketball tournament at the 2019 SEA Games was held at the Filoil Flying V Centre, San Juan, Metro Manila from 1 to 2 December 2019. This was the first time 3x3 contest in the games. A tournament for men was also organized.
Edmonds–Karp algorithm
In computer science, the Edmonds–Karp algorithm is an implementation of the Ford–Fulkerson method for computing the maximum flow in a flow network in  time. The algorithm was first published by Yefim Dinitz in 1970, and independently published by Jack Edmonds and Richard Karp in 1972. Dinitz's algorithm includes additional techniques that reduce the running time to .

Ford–Fulkerson algorithm
The Ford–Fulkerson method or Ford–Fulkerson algorithm (FFA) is a greedy algorithm that computes the maximum flow in a flow network. It is sometimes called a "method" instead of an "algorithm" as the approach to finding augmenting paths in a residual graph is not fully specified or it is specified in several implementations with different running times. It was published in 1956 by L. R. Ford Jr. and D. R. Fulkerson. The name "Ford–Fulkerson" is often also used for the Edmonds–Karp algorithm, which is a fully defined implementation of the Ford–Fulkerson method.

The idea behind the algorithm is as follows: as long as there is a path from the source (start node) to the sink (end node), with available capacity on all edges in the path, we send flow along one of the paths. Then we find another path, and so on. A path with available capacity is called an augmenting path.
Robinsons (drink)
Robinsons is a British fruit drink brand, now manufactured by Britvic Ltd, a subsidiary of Carlsberg Britvic, that has been produced for over 200 years, predominantly offering fruit cordials, known as squash in British English. The Robinsons range includes Squash, Fruit Shoot, Barley Water and Fruit Creations.

Robinsons sales for 2022 (across all its ranges) totalled nearly £200 million and it was assessed that half of British households bought their products, with more than 9 million glasses of their drink consumed daily.

Britvic
Britvic Ltd is a British producer of soft drinks based in Hemel Hempstead, England. It produces soft drinks under the Britvic name, including the famous Britvic Orange, as well as several other brands. The original Britvic Company was founded during the 1930s as the British Vitamin Products Company, but had initially been started in a chemists in Chelmsford during 1850. In 1968 it became part of Allied Breweries, before being merged into Britannia Soft Drinks, a company jointly owned by Allied, Bass and Whitbread in 1986.

The company has been the UK license holder for Pepsi and 7 Up since 1987. It was listed on the London Stock Exchange (LSE) from 2005 and expanded into non-UK markets from 2007, until it was acquired by the Carlsberg Group in July 2024. Carlsberg's UK operations were merged with Britvic plc, becoming Carlsberg Britvic in January 2025, with Britvic Ltd being a wholly owned subsidiary of the new business.
Glen Rovers GAA
Glen Rovers is a Cork-based Gaelic Athletic Association club based in Blackpool, Cork, Ireland. The club was founded in 1916 and is primarily concerned with the game of hurling. They have been historically part of the Big Three of Cork hurling along with city rivals Blackrock and St Finbarr's.

St Finbarr's National Hurling & Football Club
St Finbarr's National Hurling & Football Club or St Finbarr's Hurling and Football Club is a Gaelic games club based in the Togher area of Cork city, County Cork, Ireland. Playing in royal blue and gold jerseys, St Finbarr's fields teams in the sports of Gaelic football and hurling.
Brad Schneider
Bradley Scott Schneider (born August 20, 1961) is an American businessman and politician who has served as the U.S. representative for Illinois's 10th congressional district since 2017 and also served from 2013 to 2015. The district includes many of Chicago's northern suburbs in the Chicago metropolitan area. Its most populous city is Waukegan, an industrial suburb on Lake Michigan.

Before he was elected to Congress, Schneider worked as a management consultant and industrial engineer in Deerfield, Illinois. A member of the Democratic Party, Schneider was first elected in 2012, narrowly defeating Republican incumbent Bob Dold. In 2014, he lost his bid for reelection to Dold. He defeated Dold two years later in their third consecutive matchup. He has since been reelected four times by large margins.

Bob Dold
Robert James Dold Jr. (born June 23, 1969) is an American politician who served as the U.S. representative for Illinois's 10th congressional district from 2011 to 2013 and again from 2015 to 2017. He is a member of the Republican Party. Prior to his election, Dold ran his family-owned business, Rose Pest Solutions.  In 2010, Dold defeated Democratic Party nominee Dan Seals to replace Republican incumbent Mark Kirk in the U.S. House of Representatives. Dold was narrowly defeated by Democrat Brad Schneider in 2012, but regained the seat in 2014, defeating Schneider in a rematch. He was again defeated by Schneider in 2016 in a third contest between the two.
Chlorophyllum molybdites
Chlorophyllum molybdites, commonly known as the green-spored parasol, green-gill parasol, false parasol, green-spored lepiota and vomiter, is a common species of mushroom found in temperate and subtropical meadows and lawns.

The species is poisonous and causes potentially serious vomiting and diarrhea. It is the most commonly consumed poisonous mushroom in North America, often being misidentified as edible species like Chlorophyllum rhacodes (the shaggy parasol) and Macrolepiota procera (parasol mushroom).

Macrolepiota procera
Macrolepiota procera, the parasol mushroom, is a basidiomycete fungus with a large, prominent fruiting body resembling a parasol. It resembles some toxic species.

It is a fairly common species on well-drained soils. It is found solitary or in groups and fairy rings in pastures and occasionally in woodland. It is widespread in temperate regions of Eurasia and possibly North America. It is a well-regarded edible mushroom.
Variance function
In statistics, the variance function is a smooth function that depicts the variance of a random quantity as a function of its mean. The variance function is a measure of heteroscedasticity and plays a large role in many settings of statistical modelling. It is a main ingredient in the generalized linear model framework and a tool used in non-parametric regression, semiparametric regression  and functional data analysis. In parametric modeling, variance functions take on a parametric form and explicitly describe the relationship between the variance and the mean of a random quantity. In a non-parametric setting, the variance function is assumed to be a smooth function.

Generalized linear model
In statistics, a generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing the linear model to be related to the response variable via a link function and by allowing the magnitude of the variance of each measurement to be a function of its predicted value.

Generalized linear models were formulated by John Nelder and Robert Wedderburn as a way of unifying various other statistical models, including linear regression, logistic regression and Poisson regression. They proposed an iteratively reweighted least squares method for maximum likelihood estimation (MLE) of the model parameters. MLE remains popular and is the default method on many statistical computing packages. Other approaches, including Bayesian regression and least squares fitting to variance stabilized responses, have been developed.
Infancy gospels
Infancy gospels are a genre of religious texts that arose in the 2nd century. They are part of New Testament apocrypha, and provide accounts of the birth and early life of Jesus. The texts are of various and uncertain origin, and are generally non-canonical in major modern branches of Christianity. They include the Gospel of James, which introduces the concept of the Perpetual Virginity of Mary, and the Infancy Gospel of Thomas (not to be confused with the unrelated Gospel of Thomas), both of which cover many miraculous incidents from the life of Mary and the childhood of Jesus that are not included in the canonical gospels. Although the Life of John the Baptist focuses on John the Baptist rather than Jesus or his immediate family, it is also included in the genre as its events would be contemporary with Jesus's early life.

Gospel of James
The Gospel of James (or the Protoevangelium of James) is a second-century infancy gospel telling of the miraculous conception of Mary, the mother of Jesus, her upbringing and marriage to Joseph, the journey of the couple to Bethlehem, the birth of Jesus, and events immediately following. It is the earliest surviving assertion of the perpetual virginity of Mary, meaning her virginity not just prior to the birth of Jesus, but during and afterwards, and despite being condemned by Pope Innocent I in 405 and classified as apocryphal by the Gelasian Decree around AD 500, became a widely influential source for Mariology.
Cadacross
Cadacross was a Finnish melodic death metal band formed in 1997. They went through a major line-up change after their debut album So Pale Is the Light. Georg Laakso, guitarist and vocalist, was the only remaining member from the previous lineup. By Cadacross' second album Corona Borealis, their sound had become more distinctive and had more in common with such bands as Turisas and other Finnish viking and folk metal bands.

Turisas
Turisas is a Finnish metal band from Hämeenlinna. They were founded in 1997 by Mathias Nygård and Jussi Wickström, and named after an ancient Finnish god of war.

Turisas plays folk metal, incorporating elements of power metal and symphonic metal along with frequent harsh vocals. They are known to play most of their solos on electric violin, as opposed to traditional guitar solos.
Kaikō ROV
Kaikō (かいこう; "Ocean Trench") was a remotely operated underwater vehicle (ROV) built by the Japan Agency for Marine-Earth Science and Technology (JAMSTEC) for exploration of the deep sea. Kaikō was the second of only five vessels ever to reach the bottom of the Challenger Deep, as of 2019. Between 1995 and 2003, this 10.6 ton unmanned submersible conducted more than 250 dives, collecting 350 biological species (including 180 different bacteria), some of which could prove to be useful in medical and industrial applications. On 29 May 2003, Kaikō was lost at sea off the coast of Shikoku Island during Typhoon Chan-Hom, when a secondary cable connecting it to its launcher at the ocean surface broke.

Another ROV, Kaikō7000II, served as the replacement for Kaikō until 2007. At that time, JAMSTEC researchers began sea trials for the permanent replacement ROV, ABISMO (Automatic Bottom Inspection and Sampling Mobile).

ABISMO
ABISMO (Automatic Bottom Inspection and Sampling Mobile) is a remotely operated underwater vehicle (ROV) built by the Japan Agency for Marine-Earth Science and Technology (JAMSTEC) for exploration of the deep sea. It is the only remaining ROV rated to 11,000-meters (after Nereus, built and operated by the Woods Hole Oceanographic Institution was lost at sea in 2014), ABISMO is intended to be the permanent replacement for Kaikō, a ROV that was lost at sea in 2003.
Anastasio Somoza Debayle
Anastasio "Tachito" Somoza Debayle (Spanish: [anasˈtasjo soˈmosa ðeˈβajle]; 5 December 1925 – 17 September 1980) was a Nicaraguan politician, military officer, hydraulic engineer, and dictator who served as the 53rd President of Nicaragua from 1967 to 1972 and again from 1974 until his fall in 1979. As head of the National Guard, he was de facto ruler of the country between 1967 and 1979, even during the period when he was not the de jure ruler.

Somoza Debayle succeeded his older brother, Luis Somoza Debayle, in office. He was the last member of the Somoza family to be president, ending a dynasty that had been in power since 1937.  After insurgents led by the Sandinista National Liberation Front (Spanish: Frente Sandinista de Liberación Nacional; FSLN) were closing in on Managua in July 1979, Somoza fled Nicaragua. Power was ceded to the Junta of National Reconstruction.  He was assassinated in 1980 while in exile in Paraguay.

Luis Somoza Debayle
Luis Anastasio Somoza Debayle (18 November 1922 – 13 April 1967) was the 30th President of Nicaragua from 1957 until his resignation in 1963. He succeeded to the presidency following the death of his father, Anastasio Somoza García. The Somoza family was the most powerful family in the country at that time.
Encantadia Chronicles: Sang'gre
Encantadia Chronicles: Sang'gre is a Philippine television drama fantasy series broadcast by GMA Network. The series serves as a spin-off to the Philippine television drama series Encantadia (2016). Directed by Rico Gutierrez and Enzo Williams, it stars Bianca Umali in the title role. It premiered on June 16, 2025, on the network's Prime line up.

The series is streaming online on YouTube.

Encantadia (2016 TV series)
Encantadia is a Philippine television drama fantasy series broadcast by GMA Network. The series is based on a 2005 Philippine television series of the same title. It served as a reboot and the fourth television series in the Encantadia franchise. Directed by Mark A. Reyes, it stars Glaiza de Castro, Kylie Padilla, Gabbi Garcia and Sanya Lopez. It premiered on July 18, 2016, on the network's Telebabad line up. The series concluded on May 19, 2017, with a total of 218 episodes.

The series including a director's cut of the finale is streaming online on YouTube. The continuation of the series, Encantadia Chronicles: Sang'gre aired on June 16, 2025.
Gertrude Baillie-Weaver
Gertrude Baillie-Weaver (née Renton;  8 June 1855 – 26 November 1926) was an English suffragette, Theosophist, Freemason and writer who published as Gertrude Colmore. She co-founded the National Council for Animals' Welfare and wrote in support of animal welfare and human rights. Her books about Suffragette Sally and Emily Wilding Davison were republished in the 1980s.

H. Baillie-Weaver
Harold Baillie-Weaver (1861 – 18 March 1926) was an English barrister, Theosophist and animal welfare campaigner. He co-founded the National Council for Animals' Welfare in 1922 with his wife Gertrude Baillie-Weaver.
Defspiral
Defspiral (stylized as defspiral, and briefly existing under the name Wilma-Sidr) is a Japanese visual kei alternative metal band composed of most of the former members of the Underneath. When the Underneath disbanded in 2010, most of the group was signed to Avex Mode to perform songs for the Kamen Rider Series. This occurred with a change to their style to a smoother, slicker and more seductive style than their previous incarnations.

The Underneath (band)
The Underneath, formerly known as Transtic Nerve, was a Japanese visual kei rock band formed in 1995. The band released four full-length records as Transtic Nerve and two full-length records as The Underneath. As Transtic Nerve, the band played more straightforward rock styled music, but in 2007 shifted to a heavier and darker style upon transforming to The Underneath. In 2010, the group disbanded and reformed (without second guitarist Tal) under the name Defspiral.
Adenosine triphosphate
Adenosine triphosphate (ATP) is a nucleoside triphosphate that provides energy of approximately 30.5kJ/mol to drive and support many processes in living cells, such as muscle contraction, nerve impulse propagation, and chemical synthesis. Found in all known forms of life, it is often referred to as the "molecular unit of currency" for intracellular energy transfer.

When consumed in a metabolic process, ATP converts either to adenosine diphosphate (ADP) or to adenosine monophosphate (AMP). Other processes regenerate ATP. It is also a precursor to DNA and RNA, and is used as a coenzyme. An average adult human processes around 50 kilograms (about 100 moles) daily.

From the perspective of biochemistry, ATP is classified as a nucleoside triphosphate, which indicates that it consists of three components: a nitrogenous base (adenine), the sugar ribose, and the triphosphate.

Adenosine monophosphate
Adenosine monophosphate (AMP), also known as 5'-adenylic acid, is a nucleotide. AMP consists of a phosphate group, the sugar ribose, and the nucleobase adenine. It is an ester of phosphoric acid and the nucleoside adenosine. As a substituent it takes the form of the prefix adenylyl-.

AMP plays an important role in many cellular metabolic processes, being interconverted to adenosine triphosphate (ATP) and adenosine diphosphate (ADP), as well as allosterically activating enzymes such as myophosphorylase-b. AMP is also a component in the synthesis of RNA. AMP is present in all known forms of life.