hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Natural logarithm of 2
In mathematics, the natural logarithm of 2 is the unique real number argument such that the exponential function equals two. It appears frequently in various formulas and is also given by the alternating harmonic series. The decimal value of the natural logarithm of 2 (sequence A002162 in the OEIS) truncated at 30 decimal places is given by:

The logarithm of 2 in other bases is obtained with the formula

The common logarithm in particular is (OEIS: A007524)

The inverse of this number is the binary logarithm of 10:

(OEIS: A020862).

By the Lindemann–Weierstrass theorem, the natural logarithm of any natural number other than 0 and 1 (more generally, of any positive algebraic number other than 1) is a transcendental number. It is also contained in the ring of algebraic periods.

Lindemann–Weierstrass theorem
In transcendental number theory, the Lindemann–Weierstrass theorem is a result that is very useful in establishing the transcendence of numbers. It states the following:

In other words, the extension field  has transcendence degree n over .

An equivalent formulation from Baker 1990, Chapter 1, Theorem 1.4, is the following:

This equivalence transforms a linear relation over the algebraic numbers into an algebraic relation over  by using the fact that a symmetric polynomial whose arguments are all conjugates of one another gives a rational number.

The theorem is named for Ferdinand von Lindemann and Karl Weierstrass. Lindemann proved in 1882 that eα is transcendental for every non-zero algebraic number α, thereby establishing that π is transcendental (see below). Weierstrass proved the above more general statement in 1885.

The theorem, along with the Gelfond–Schneider theorem, is extended by Baker's theorem, and all of these would be further generalized by Schanuel's conjecture.
Jones Lake State Park
Jones Lake State Park is a North Carolina state park in Bladen County, North Carolina in the United States near Elizabethtown. It covers 2,208-acre (8.94 km2), including the Carolina bay lakes of Jones Lake and Salters Lake. Jones Lake State Park is north of Elizabethtown on North Carolina Highway 242 in North Carolina's Coastal Plain region. The park offers year-round recreation, including fishing, swimming, boating, hiking, picnicking and environmental and historical education programs.

North Carolina Highway 242
North Carolina Highway 242 (NC 242) is a primary state highway in the U.S. state of North Carolina.  It traverses from Cerro Gordo to Benson, connecting the towns of Bladenboro, Elizabethtown, and Roseboro.
Fred Etchen
Fred Etchen (September 25, 1884 – November 6, 1961) was an American sport shooter who competed in the 1924 Summer Olympics.

In 1924, he won the gold medal as member of the American team in the team clay pigeons competition. He also participated in the Individual trap and finished 24th.

He was born in Coffeyville, Kansas.

Clay pigeon shooting
Clay pigeon shooting, also known as clay target shooting, is a shooting sport involving shooting at special flying targets known as "clay pigeons" or "clay targets" with a shotgun. Despite their name, the targets are usually inverted saucers made of pulverized limestone mixed with pitch and a brightly colored pigment.
James Aaron Moore
James Aaron Moore (died 1904) was a blacksmith, preacher, alderman, state constitutional convention delegate, bailiff, and state legislator in Mississippi. He represented Lauderdale County, Mississippi in the Mississippi House of Representatives. He was accused of involvement in the Meridian Riot and was forced to flee.

Mississippi House of Representatives
The Mississippi House of Representatives is the lower house of the Mississippi Legislature, the lawmaking body of the U.S. state of Mississippi, the upper house being the Mississippi Senate. According to the state constitution of 1890, it is to comprise no more than 122 members elected for four-year terms. To qualify as a member of the House, candidates must be at least 21 years old, a resident of Mississippi for at least four years, and a resident in the district for at least two years. Elections are held the first Tuesday after the first Monday in November.
Déisi
The Déisi were a social class in Ireland between the ancient and early medieval period. The various peoples listed under the heading déis shared a similar status in Gaelic Ireland, and had little or no actual kinship, though they were often thought of as genetically related. During the era of Roman rule in Britain, many members of the Déisi were recorded as settling in western British coastal areas (especially the areas known later as Wales, Cornwall and Devon).

During the early Middle Ages, some Déisi groups and subgroups exerted great political influence in various parts of Ireland. For instance, in Munster, a subgroup of Déisi constituted a regional kingdom, Déisi Muman which ruled modern day County Waterford and South Tipperary, and were part of the hegemony of the Eoganachta confederacy.

Hill of Tara
The Hill of Tara (Irish: Teamhair or Cnoc na Teamhrach) is a hill and ancient ceremonial and burial site near Skryne in County Meath,  Ireland. Tradition identifies the hill as the inauguration place and seat of the High Kings of Ireland; it also appears in Irish mythology. Tara consists of numerous monuments and earthworks—dating from the Neolithic to the Iron Age—including a passage tomb (the "Mound of the Hostages"), burial mounds, round enclosures, a standing stone (believed to be the Lia Fáil or "Stone of Destiny"), and a ceremonial avenue. There is also a church and graveyard on the hill. Tara forms part of a larger ancient landscape and Tara itself is a protected national monument under the care of the Office of Public Works, an agency of the Irish Government.
Musée Magnin
The Musée Magnin (French pronunciation: [myze maɲɛ̃]; English: Magnin Museum) is a national museum in the French city of Dijon in Burgundy, in the Côte-d'Or department, with a collection of around 2,000 works of art collected by Maurice Magnin and his sister Jeanne and bequeathed to the State in 1938, along with the Hôtel Lantin, a 17th-century hôtel particulier in the old-town quarter of Dijon where it is now displayed as an amateur collector's cabinet of curiosities and as the Magnin family home.

Giovanni Cariani
Giovanni Cariani (c. 1490–1547), also known as  Giovanni Busi or Il Cariani, was an Italian painter of the high-Renaissance, active in Venice and the Venetian mainland, including Bergamo, thought to be his native city.
Ora Hotels–Carrera
Ora Hotels–Carrera (UCI team code: OHT) is a professional road bicycle racing team licensed in Hungary, that compete in the UCI Continental Circuits. Starting from 2011 it has three main sponsors, international hotel chain Ora Hotels, bicycle manufacturer Carrera and fittings producer D SIGN.

Zsolt Dér
Zsolt Dér (Hungarian pronunciation: [ˈʒolt ˈdeːr]; Serbian: Žolt Der; born 25 March 1983) is a Serbian-born Hungarian former racing cyclist. He rode at the 2014 UCI Road World Championships. Following his retirement, Dér became a coach with the Hungarian Cycling Federation.
Kurovice
Kurovice is a municipality and village in Kroměříž District in the Zlín Region of the Czech Republic. It has about 300 inhabitants.

Kurovice lies approximately 9 kilometres (6 mi) east of Kroměříž, 13 km (8 mi) north-west of Zlín, and 240 km (150 mi) east of Prague.

Kroměříž
Kroměříž (Czech pronunciation: [ˈkromɲɛr̝iːʃ] ⓘ; German: Kremsier) is a town in the Zlín Region of the Czech Republic. It has about 28,000 inhabitants. It is known for Kroměříž Castle with its castle gardens, which are a UNESCO World Heritage Site. The historic town centre with the castle complex is well preserved and is protected as an urban monument reservation.
Gogoselachus
Gogoselachus ("shark from the Gogo Formation") is an extinct genus of cartilaginous fish known from the late Devonian of Australia. It is one of the earliest well-preserved Devonian chondrichthyans (20 million years older than Cladoselache), as much more of the fish than just teeth and scales were preserved. This rare preservation reveals some unique discoveries about the evolution of the cartilage that was inside later cartilaginous fish such as sharks, rays, and chimaeras.

Batomorphi
Batomorphi is a division of cartilaginous fishes, commonly known as rays; this taxon is sometimes considered as the superorder Batoidea, but the 5th edition of Fishes of the World classifies it as the division Batomorphi. Batomorphi, along with the shark division Selachii, both compose the subclass Elasmobranchii. Rays are the most speciose of cartilaginous fishes groups, with well over 600 species in 26 families. Rays are distinguished by their flattened bodies, enlarged pectoral fins that are fused to the head, and gill slits that are placed on their ventral surfaces.
Wettenhall (surname)
Wettenhall is a surname. Notable people with the surname include:

Norman Wettenhall (1915–2000), Australian paediatrician, ornithologist and philanthropist

Steve Wettenhall (born 1963), Australian politician

Steve Wettenhall
Stephen Peter Arthur Wettenhall (born 15 February 1963) was the Labor Member of the Parliament of Queensland for Barron River. He was first elected in the 2006 Queensland state election, and was defeated in the 2012 state election.
Benisha Hamal
Benisha Hamal (Nepali: बेनिशा हमाल; born (1992-07-25)July 25, 1992) is a Nepalese radio jockey, model, and actress known for her work in Nepali cinema. She has worked on over a dozen films and more than one hundred music videos. She won several awards, including a national award in 2018 for her film Blind Rocks.

Cinema of Nepal
Nepali Cinema, also referred to as "Nepali Chalachitra" (Nepali: नेपाली चलचित्र) is the filmmaking industry in Nepal. This includes films in various languages of Nepal, most notably in Nepali language but also in Newari, Maithili, Tamang, Bhojpuri and Tharu among others. The term Cinemandu is also used, as a portmanteau for films produced in the Nepali language while the Nepalese films produced from Kathmandu and Janakpur in the Maithili language is known as Mithilawood. Both of these film industries are the largest viewing cinema of Nepal and are collectively known as Nepali Cinema.
Ab Chur
Ab Chur (Persian: ابچور, also Romanized as Āb Chūr and Ābchowr; also known as Āpkhvor) is a village in Aladagh Rural District, in the Central District of Bojnord County, North Khorasan Province, Iran. At the 2006 census, its population was 437, in 106 families.

North Khorasan province
North Khorasan province (Persian: استان خراسان شمالی) is one of the 31 provinces of Iran, located in the northeast of the country. Its capital is the city of Bojnord.

North Khorasan is one of the three provinces created after the division of Khorasan in 2004. Khorasan was the largest province of Iran until it was divided into three provinces on 29 September 2004. The provinces approved by the parliament of Iran (on 18 May 2004) and the Council of Guardians (on 29 May 2004) were Razavi Khorasan, North Khorasan, and South Khorasan. In 2014, it was placed in Region 5.
Art of representation
The "art of representation" (Russian: представление, romanized: predstavlenie) is a critical term used by the seminal Russian theatre practitioner Konstantin Stanislavski to describe a method of acting. It comes from his acting manual An Actor Prepares (1936). Stanislavski defines his own approach to acting as "experiencing the role" and contrasts it with the "art of representation". It is on the basis of this formulation that the American Method acting teacher Uta Hagen defines her recommended Stanislavskian approach as 'presentational' acting, as opposed to 'representational' acting. This use, however, directly contradicts mainstream critical use of these terms. Despite the distinction, Stanislavskian theatre, in which actors 'experience' their roles, remains 'representational' in the broader critical sense.

Acting
Acting is an activity in which a story is told by means of its enactment by an actor who adopts a character—in theatre, television, film, radio, or any other medium that makes use of the mimetic mode.

Acting involves a broad range of skills, including a well-developed imagination, emotional facility, physical expressivity, vocal projection, clarity of speech, and the ability to interpret drama. Acting also demands an ability to employ dialects, accents, improvisation, observation and emulation, mime, and stage combat. Many actors train at length in specialist programs or colleges to develop these skills. The vast majority of professional actors have gone through extensive training. Actors and actresses will often have many instructors and teachers for a full range of training involving singing, scene-work, audition techniques, and acting for camera.

Most early sources in the West that examine the art of acting (Ancient Greek: ὑπόκρισις, hypokrisis) discuss it as part of rhetoric.
Dubois Museum
The Dubois Museum is a 3,850-square-foot (358 m2) museum preserving and interpreting the history of the Upper Wind River Valley and is located in the town of Dubois, Wyoming on U.S. Route 26 along the Wyoming Centennial Scenic Byway. The museum offers interpretive programs, exhibits, multi-media presentations, and special events.

Wind River (Wyoming)
The Wind River is the name applied to the upper reaches of the Bighorn River in Wyoming in the United States. The Wind River is 185 miles (298 km) long. The two rivers are sometimes referred to as the Wind/Bighorn.
Television news in the United States
Television news in the United States has undergone significant evolution over the years. It has transformed from a brief 10- to 15-minute evening broadcast into a diverse array of programs and channels. Today, audiences have access to local, regional, and national news coverage through various platforms, available at any time of the day.

Fox News Sunday
Fox News Sunday is a Sunday morning talk show that has aired on the broadcast Fox network since 1996, as a presentation of Fox News Channel. It is the only regularly scheduled Fox News program carried on the main Fox broadcast network. Hosted by Shannon Bream since 2022, the show features interviews with some of the biggest newsmakers in politics from the previous week and "takes on the week's hot political topics", in addition to panel discussions with other Fox contributors and a "power player of the week", which typically is a non-political "feel good" story to end the program.
Rex Sterling
Rex Sterling is a fictional character from The Young and the Restless, an American soap opera on the CBS network.  He was portrayed by Quinn Redeker from July 1987 to the character's exit in December 1994. He reprised the role in July 2004 for a one-episode guest appearance.

Jeanne Cooper
Wilma Jeanne Cooper (October 25, 1928 – May 8, 2013) was an American actress, best known for her role as Katherine Chancellor on the CBS soap opera The Young and the Restless (1973–2013). At the time of her death, she had played Katherine for nearly 40 years, and her name appears on the list of longest-serving soap opera actors in the United States.

Cooper also appeared on numerous episodic television series in the 1950s and 1960s, as well as several film roles. She was the mother of three children, the eldest being actor Corbin Bernsen.
Scanlation
Scanlation (also scanslation) is the fan-made scanning, translation, and editing of comics from one language into another. Scanlation is done as an amateur work performed by groups and is nearly always done without express permission from the copyright holder. The word "scanlation" is a portmanteau of the words scan and translation. The term is mainly used for Japanese manga, although it also exists for other languages, such as Korean manhwa and Chinese manhua. Scanlations may be viewed at websites or as sets of image files downloaded via the Internet.

Viz Media
Viz Media, LLC is an American entertainment company, focused on publishing manga, and distributing and licensing Japanese anime, films, and television series.

The company was founded in 1986 as Viz, LLC. In 2005, Viz and ShoPro Entertainment merged to form the current Viz Media, which is owned by Japanese publishing conglomerates Shueisha and Shogakukan, as well as Japanese production company Shogakukan-Shueisha Productions (ShoPro). In 2017, Viz Media was the largest publisher of graphic novels in the United States in the bookstore market, with a 23% share of the market.
Hudson Pride Connections Center
Hudson Pride Connections Center is a community services center serving the lesbian, gay, bisexual and transgender (LGBTQ) community, as well as all people living with HIV/AIDS in north eastern New Jersey.

Journal Square
Journal Square is a business district, residential area, and transportation hub in Jersey City, New Jersey. It is named for the newspaper Jersey Journal, whose headquarters were located there from 1911 to 2013. The "square" itself is at the intersection of Kennedy Boulevard and Bergen Avenue. The broader area extends to and includes Bergen Square, McGinley Square, India Square, the Five Corners and parts of the Marion Section. Many local, state, and federal agencies serving Hudson County maintain offices in the district.
Tati Zaqui
Tatiane Zaqui Ferreira da Silva (born February 18, 1994), known professionally as Tati Zaqui, is a Brazilian digital influencer and entrepreneur, and former funk singer-songwriter and dancer. Originally known for the bright blue hair she sported during her early career and her outspoken stances, she reached fame in 2014 as a funk ostentação/ousadia artist with the hit single "Parará Tibum"; following her conversion to Evangelicalism in 2023 and the release of the gospel song "Me Guia", she has since declared her withdrawal from the music industry.

Funk carioca
Funk carioca (Brazilian Portuguese pronunciation: [ˈfɐ̃k(i) kɐɾiˈɔkɐ, - kaɾ-]), also known as baile funk, Brazilian funk, or simply funk, is a Brazilian hip hop-influenced music genre from Rio de Janeiro, taking influences from musical styles such as Miami bass and freestyle.

In Brazil, "baile funk" refers not to the music, but to the actual parties or discotheques in which the music is played (Portuguese pronunciation: [ˈbajli], from baile, meaning "ball"). Although it originated in Rio (carioca is a Rio demonym), "funk carioca" has become increasingly popular among working classes in other parts of Brazil. In the whole country, funk carioca is most often simply known as "funk", although it is very musically different from the American genre of funk music. In fact, it still shows its urban Afrobeat influences.
Fock
Fock is a surname. Notable people with the surname include:

Bror Fock (1888–1964), Swedish long-distance runner

Carin Fock (1888–1931), first wife of Hermann Göring

Dirk Fock (1858–1941), Dutch politician

Gorch Fock (author), pseudonym of Johann Wilhelm Kinau (1880–1916), German author

Jenő Fock (1916–2001), Hungarian Chairman of the Council of Ministers from 1967 to 1975

Josephine Fock (born 1965), Danish politician

Metta Fock (1765–1810), Swedish convicted murderer

Vladimir Fock (1898–1974), Soviet physicist

Willemijn Fock (1942–2021), Dutch art historian

Wim Fock (1909–1984), Dutch boxer

Gorch Fock (author)
Johann Wilhelm Kinau (22 August 1880 – 31 May 1916), better known by his pseudonym Gorch Fock (German pronunciation: [ɡɔʀx fɔk]), was a German author. Other pseudonyms he used were Jakob Holst and Giorgio Focco.
Earl Shilton Building Society
The Earl Shilton Building Society is a British building society, which has its head office in Earl Shilton, Leicestershire. It is the second-smallest in the United Kingdom based on total assets of £183 million as at 31 March 2025. The society has a branch in Barwell too. It is a member of the Building Societies Association. The society was established in 1857.

Building Societies Association
The Building Societies Association (BSA) is the trade body that represents all building societies and several large credit unions in the United Kingdom. It was established in 1869 under the original name Building Societies Protection Association, with the aim of coordinating a collective response to proposed government changes that threatened stamp duty exemptions for mutual lenders.

As of 2024, the BSA represents 49 member institutions, comprising 42 building societies and 7 credit unions, which together serve approximately c. 26 million customers across the UK.

The association advocates on behalf of its members in relation to financial services regulation, legislation, and policy developments in both the UK and Europe. It also provides research, public affairs support, and guidance for the mutual sector, with a focus on ensuring a sustainable and competitive environment for member institutions.
John Bethune (Canadian minister)
John Bethune (Scottish Gaelic: an t-Urr. Iain Beutan) (1751 – September 23, 1815) was a Scottish Presbyterian minister, who served and helped found  Reformed congregations among the Scottish diaspora in the Colony of North Carolina, Quebec, and in Upper Canada.

After fighting on the losing side during the American Revolution, Rev. Bethune fled northward and settled with other "United Empire Loyalists" in what remained of British North America. He founded Canada's first Presbyterian Churches, first in Montreal and then among his fellow Gaels in Glengarry County, Ontario.

Rev. Bethune is the common ancestor of a very large and notable Scottish-Canadian extended family connected with the fur trade, politics, medicine, law and the ministry in several church denominations. He is the great-great-grandfather of Norman Bethune, the Canadian physician and medical innovator, and the great-great-great-grandfather of legendary stage and screen actor Christopher Plummer.

North West Company
The North West Company was a Canadian fur trading business headquartered in Montreal from 1779 to 1821. It competed with increasing success against the Hudson's Bay Company in the regions that later became Western Canada and Northwestern Ontario. With great wealth at stake, tensions between the companies increased to the point where several minor armed skirmishes broke out, and the two companies were forced by the British government to merge.
Meisterschwanden–Erlenhölzli
Meisterschwanden–Erlenhölzli refers to an archaeological site in Meisterschwanden in the Swiss canton of Aargau. It is located approximately 80 metres from the shore of Lake Hallwil. It is a lakeside settlement (also known as a pile dwelling village or palafitte) from the Neolithic period (4th to 3rd millennium BC). The site is not designated as a World Heritage Site, but is recognised and protected as an associated site of the UNESCO World Heritage Site Prehistoric Pile Dwellings around the Alps.

Lake Hallwil
Lake Hallwil (German: Hallwilersee) is a lake largely in the Canton of Aargau, Switzerland, located at 47°17′N 8°12′E﻿ / ﻿47.283°N 8.200°E﻿ / 47.283; 8.200. It is the largest lake in Aargau and lies mostly in the districts of Lenzburg and Kulm on the southern edge of the canton. The southern tip of the lake reaches into the canton of Lucerne. The main river leading to this lake is the Aabach, which is coming from the Lake Baldegg.

Its surface is approximately 10.3 km2 and its maximum depth is 48 metres. It is a popular vacation destination.

In 1938 Sir Malcolm Campbell set a world water speed record in Blue Bird K3 on the lake.
Copa América Centenario Group D
Group D of the Copa América Centenario consisted of Argentina, defending champions Chile, Panama, and Bolivia. Matches began on June 6 and ended on June 14, 2016. All times are EDT (UTC−4).

Argentina and Chile advanced to the quarter-finals.

UTC−04:00
UTC−04:00 is an identifier for a time offset from UTC of −04:00.

It is observed in the Eastern Time Zone (e.g., in Canada and the United States) during daylight saving time, as Eastern Daylight Time. The Atlantic Time Zone observes it during standard time.

It is observed all year in the Eastern Caribbean and several South American countries.