hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Examples of vector spaces
This page lists some examples of vector spaces. See vector space for the definitions of terms used on this page. See also: dimension, basis.

Notation. Let F denote an arbitrary field such as the real numbers R or the complex numbers C.

Kernel (linear algebra)
In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the part of the domain which is mapped to the zero vector of the co-domain; the kernel is always a linear subspace of the domain. That is, given a linear map L : V → W between two vector spaces V and W, the kernel of L is the vector space of all elements v of V such that L(v) = 0, where 0 denotes the zero vector in W, or more symbolically:
2015 Oxnard train derailment
The 2015 Oxnard train derailment occurred on February 24, 2015, at 5:44 a.m. local time when a Metrolink passenger train collided with a truck that a driver had mistakenly turned from Rice Avenue onto the tracks and became stuck. After the impact, the train derailed at Oxnard, California, United States. As a result of the crash, the train engineer died from his injuries a week later and 32 passengers and crew members were injured. The truck driver exited his vehicle and ran from the scene prior to the crash; he sustained minor injuries that were unrelated to the crash sequence.

National Transportation Safety Board
The National Transportation Safety Board (NTSB) is an independent U.S. government investigative agency responsible for civil transportation accident investigation. In this role, the NTSB investigates and reports on aviation accidents and incidents, certain types of highway crashes, ship and marine accidents, pipeline incidents, bridge failures, and railroad accidents. The NTSB is also in charge of investigating cases of hazardous materials releases that occur during transportation. The agency is based in Washington, D.C. It has three regional offices, located in Anchorage, Alaska; Aurora, Colorado; and Federal Way, Washington. The agency also operated a national training center at its Ashburn facility.
James of Verona
James of Verona was an Augustinian friar who made a pilgrimage to the Holy Land in 1335 and wrote an account of his travels in Latin, the Liber peregrationis ('The Book of the Pilgrimage'). He was probably born in Verona around 1290. He entered the Augustinian order in 1310 or 1311, twenty-five years before his pilgrimage.

Order of Saint Augustine
The Order of Saint Augustine (Latin: Ordo Fratrum Sancti Augustini), abbreviated OSA, is a mendicant religious order  of the Catholic Church. It was founded in 1244 by bringing together several eremitical groups in the Tuscany region who were following the Rule of Saint Augustine, written by Augustine of Hippo in the fifth century.

They are also commonly known as the Augustinians, Austin friars, or Friars Hermits and, until 1968, as the Order of Hermits of Saint Augustine (Latin: Ordo eremitarum sancti Augustini; abbreviated OESA).

The order has, in particular, spread internationally the veneration of the Virgin Mary under the title of Our Lady of Good Counsel (Mater boni consilii).

In the 2025 papal conclave, Leo XIV was elected as the first pope from the Order of Saint Augustine.
Havat Gilad
Havat Gilad (Hebrew: חַוַּת גִּלְעָד, lit. 'Gilad Farm') is an Israeli settlement in the West Bank. Located about 1km from the Israeli settlement of Kedumim, Havat Gilad was established as an unauthorized outpost in 2002, after which it was dismantled by official forces and rebuilt by settlers several times until it was granted legal status by the Israeli government in February 2018. The outpost was set up in 2002 in memory of Gilad Zar, son of Moshe Zar and security coordinator of the Shomron Regional Council, who was shot and killed in 2001.

The international community considers Israeli settlements in the West Bank illegal under international law, though the Israeli government disputes this.

Shomron Regional Council
The Shomron Regional Council (Hebrew: מועצה אזורית שומרון, Mo'atza Azorit Shomron, English Samaria Regional Council) is an Israeli regional council in the northern portion of the Israeli-occupied West Bank. Thirty-five Israeli settlements fall under its jurisdiction. As of December 2020 the jurisdiction area of the council has a population of about 47,200 people. The main offices are located in the Barkan Industrial Park.

The international community considers Israeli settlements in the West Bank illegal under international law, but the Israeli government disputes this.

Covering 2,800 square kilometers of the West Bank, it was, prior to the fall of 2005 when some of its municipal land was abandoned as part of Israel's unilateral disengagement plan, the largest Israeli regional council in municipal area.

In August 2015, Yossi Dagan was elected to position of Chairman of Shomron Regional Council, with 62% of the vote.
Jason George (basketball)
Jason George (born May 21, 2001) is a German professional basketball player for Bayern Munich, currently playing on loan at Niners Chemnitz of the Basketball Bundesliga. He plays as a swingman. George represented the German national basketball team during the 2016 FIBA U16 European Championship and the 2017 FIBA U18 European Championship.

2016 FIBA U16 European Championship
The 2016 FIBA U16 European Championship was the 30th edition of the European Under-16 Basketball Championship. Sixteen teams participated in the competition, held in Radom, Poland, from 12 to 20 August 2016. Bosnia and Herzegovina, the defending champions, were relegated to the 2017 Division B.
National Youth Service (Seychelles)
The National Youth Service (NYS) (French: Service National de la Jeunesse), (Seychellois Creole: Servis Nasional La Zenes) was a youth service program implemented by the government of Seychelles during its time as a one-party state. It was a formerly compulsory service and included traditional educational curriculum, political education and paramilitary training. Criticized by many as an indoctrination scheme, the program was lauded by President France-Albert René as a way to steer disadvantaged youth from bad habits and troubled situations at home and instead forge a body of educated, skilled, and socially-conscious future administrators of Seychelles. The NYS worked closely with the Seychelles People's Progressive Front Youth League.

France-Albert René
France-Albert René (French: [fʁɑ̃s albɛʁ ʁəne]; 16 November 1935 – 27 February 2019) was a Seychellois lawyer and politician who served as the country’s second President of Seychelles from 1977 to 2004, following a coup d'état that ousted the country's founding president, James Mancham. He previously served as the nation’s second and final Prime Minister, from independence in 1976 until the abolition of the post in 1977. He was a leading figure of the Seychelles People’s Progressive Front, later known as United Seychelles.
Operasjon Cobra
Operasjon Cobra (Operation Cobra) is a Norwegian thriller film from 1978 directed by Ola Solum. The film is about a Norwegian family living in Fornebu who are held captive in their own home by terrorists. The goal is to have a base near where the US secretary of state will pass during his visit to Norway. The film stars Anders Mordal, Wenche Medbøe, Ingrid Larsen, Roy Bjørnstad and Nils Ole Oftebro. The film is based on the novel Operation Cobra by the Danish writer Anders Bodelsen.

A Danish version of the film was released in 1995.

Nils Ole Oftebro
Nils Ole Oftebro (born 1 December 1944) is a Norwegian actor and illustrator. He was born in Sarpsborg. He worked for Fjernsynsteatret from 1969 to 1971. From 1971 he was assigned to Nationaltheatret. He was artistical director at Torshovteatret from 1987 to 1989. He received the Amanda Award for "Best Actor" in 1986, for his role in the television production Du kan da ikke bare gå, and in 1998 for "Best Supporting Role" in Thranes metode. Among his films are Du Pappa, Dagny and Blood of the Railroad Workers.

His dubbing work includes Jafar in Aladdin, the Grand Duke of Owls in Rock-a-Doodle, Tim Lockwood in Cloudy with a Chance of Meatballs and Stinky Pete the Prospector in Toy Story 2.

He is best known to international audiences for his appearances in the Swedish drama series Black Lake.

At the 2024 Norwegian International Film Festival he was honored with a stone at the Haugesund Walk of Fame, along with Renate Reinsve.
Heptarchy
The Heptarchy was the division of Anglo-Saxon England between the sixth and eighth centuries into petty kingdoms, conventionally the seven kingdoms of East Anglia, Essex, Kent, Mercia, Northumbria, Sussex, and Wessex. The term originated with the twelfth-century historian Henry of Huntingdon and has been widely used ever since, but it has been questioned by historians as the number of kingdoms fluctuated, and there was never a time when the territory of the Anglo-Saxons was divided into seven kingdoms each ruled by one king. The period of petty kingdoms came to an end in the eighth century, when England was divided into the four dominant kingdoms of East Anglia, Mercia, Northumbria, and Wessex.

Magonsæte
Magonsæte was a minor sub-kingdom of the greater Anglo-Saxon kingdom of Mercia, thought to be coterminous with the Diocese of Hereford.

The former territory of the Cornovii tribe was conquered by Oswiu of Northumbria in 656, while he was overlord of the Mercians. The west of this region was then occupied by Anglian groups. One group based itself at the old Roman town of Magnae or (Old Welsh) Cair Magon, modern Kenchester near Hereford.

The sub-kingdom of the Western Hecani existed in the late 7th and early 8th centuries, of which three rulers are known: Merewalh, Mildfrith, and Merchelm. By the later 8th century, the region would seem to have been reincorporated into Mercia, perhaps as Westerna, becoming known as the Magonsæte by the 9th century.

Smaller sub-tribes of the Magonsæte included the Temersæte near Hereford and the Hahlsæte near Ludlow.
Radia Senki: Reimeihen
Radia Senki: Reimeihen (ラディア戦記 — 黎明篇 —; lit. "Chronicle of the Radia War: Dawn Volume", officially translated as Record of Radia War) is an action role-playing video game developed by Tecmo and released in Japan for the Nintendo Family Computer on November 15, 1991. Though an English release was at one point planned, it was never released outside Japan, with only a prototype ever made. There is a fan translation patch available for this game which allows the game to be played in English.

Radia Senki follows a cast of characters trying to stop the domination of Lemuria by Gadiss, a political leader. The protagonist suffers from amnesia at the beginning of the game, but he does regain his memories by the conclusion of the story.

Tecmo
Tecmo, Ltd. (テクモ株式会社, Tekumo kabushikigaisha) was a Japanese video game company founded in 1967. It had its headquarters in the Kudankita district of Tokyo. Its subsidiary, Tecmo Inc, was located in Torrance, California. Prior to 1986, Tecmo was formerly known as Tehkan.

Tecmo is known for the Captain Tsubasa, Dead or Alive, Deception, Fatal Frame, Gallop Racer, Monster Rancher, Ninja Gaiden, Rygar, Star Force and Tecmo Bowl video game series. When it was still called Tehkan, the company released arcade games such as Bomb Jack, Gridiron Fight and Tehkan World Cup.

In 2009, Tecmo merged with Koei to form the holding company Tecmo Koei Holdings and was operated as a subsidiary until April 2010 when Tecmo was dissolved. Its brand continued to be used until 2016. Its video game franchises are now owned and published by Koei Tecmo Games.
Robin Pemberton
Robert (Robin) Pemberton (born August 15, 1956)  is an American motor racing official and former vice president for competition of NASCAR.

Previously, Pemberton was a crew chief for several NASCAR teams over the course of 17 years, heading teams for Rusty Wallace, Mark Martin and Kyle Petty. Pemberton was field manager for Ford Racing immediately prior to being named VP of Competition.

Kyle Petty
Kyle Eugene Petty (born June 2, 1960) is an American former stock car racing driver and current racing commentator. He is the son of racer Richard Petty, grandson of racer Lee Petty, and father of racer Adam Petty, who was killed in a crash during practice in May 2000. Petty last drove the No. 45 Dodge Charger for Petty Enterprises, where he was CEO; his last race was in 2008.
Cláudio Assis
Cláudio Assis (born December 19, 1959) is a Brazilian filmmaker. He was born in Caruaru, in the state of Pernambuco, and went to Recife, the state's capital, when he was 17. There, he started to attend for Economics and Communication studies, but he felt "totally incompatible" with its structure. After working as assistant in some production, he went to direct his own short films: Padre Henrique - Um Crime Político (1987), Soneto do Desmantelo Blue (1993), Viva o Cinema (1996), and Texas Hotel (1999). The latter served as inspiration for his first feature film Mango Yellow, which was released in 2002, winning several awards including the Best Film at the Festival de Brasília. His second feature film, Bog of Beasts (2006), debuted won five awards, including Best Film, at the Festival de Brasília, and the Tiger Award at the International Film Festival Rotterdam. Rat Fever, his third film, was released in 2011 and won the Best Film Award at the Festival de Paulínia.

International Film Festival Rotterdam
International Film Festival Rotterdam (IFFR) is an annual film festival held at the end of January in various locations in Rotterdam, the Netherlands, focused on independent and experimental films. The inaugural festival took place in June 1972, led by founder Huub Bals. IFFR also hosts CineMart and BoostNL for film producers to seek funding.
Princess Margaret Secondary School (Penticton)
Princess Margaret Secondary School (also known as PMSS or "Maggie") is a public secondary school in Penticton, British Columbia, Canada.   It is operated by School District 67 Okanagan Skaha.  It is one of two secondary schools in Penticton and one of three in the school district.  The school is fed from four elementary schools and one middle school. The school includes a significant number of students from the local First Nations Penticton Indian Band and is located within the traditional Okanagan Nation territory.   PMSS is named for Princess Margaret, Countess of Snowden, sister of Elizabeth II, Queen of Canada.

Penticton Indian Band
The Penticton Indian Band (Okanagan: Sn̓pin̓tktn̓) is a First Nations government in the Canadian province of British Columbia, located next to the city of Penticton in the Okanagan Valley. They are a member of the Okanagan Nation Alliance. It has an accredited High School and Elementary school.
Street (surname)
Street is an English surname, deriving from the Latin strata, via the Old English stræt, referring to a Roman road. As a toponymic surname, the name may be derived from the villages of Strete in Devon, England, and Streat in Sussex, England. A branch from an English family Street fixated in Portugal, which surname, currently, appears to be used only by the descendants of the Street de Arriaga e Cunha Viscounts and Counts of Carnide. Its arms are: gules, three St. Catherine's wheels argent; crest: a lion assaltant or, against a St. Catherine's wheel gules.

Viscount
A viscount (/ˈvaɪkaʊnt/ ⓘ VY-kownt, for male) or viscountess (/ˈvaɪkaʊntɪs/ ⓘ, for female) is a title used in certain European countries for a noble of varying status. The status and any domain held by a viscount is a viscounty.

In the case of French viscounts, the title is sometimes left untranslated as vicomte [vi.kɔ̃t].
Sportpark Höhenberg
Sportpark Höhenberg is a sports facility in the Merheimer Heide in Cologne's Höhenberg quarter on the right bank of the Rhine. The football stadium belonging to the facility is the home ground of association football club Viktoria Köln and American football team Cologne Crocodiles. Currently, the sports facility seats 8,343.

Cologne Crocodiles
The Cologne Crocodiles are an American football team from Cologne, Germany.

The club's greatest success came in 2000, when it won the German Bowl for the first and, so far, only time. Prior to this, the club had made five losing appearances in the championship game, stretching from 1982 to 1997.

The club, a long-term member of the German Football League, became insolvent in 2003, folded and reformed. For a number of years after that it operated a youth department before fielding a senior team once more beginning in 2009.
Romano d'Ezzelino
Romano d'Ezzelino is a small city with c. 14,000 residents in the Veneto region of northern Italy. It lies in the foothills of Monte Grappa and is located among some hills and country. The name "Romano" comes from Arimanno, a Lombard word meaning "military settlement". "Ezzelino" refers to the family of Ezzelini, who moved to Romano in 1199.

The coat of arms is inspired by Ezzelino III da Romano's emblem, which portrays a horseshoe carried by a swan. The meaning is justice and submission. The swan wears a crown, that represents the family greatness and a cross that refers to the crusades.

Romano d'Ezzelino was awarded the War Cross for Military Valor for the sacrifice made by the residents during World War II.

Ezzelino III da Romano
Ezzelino III da Romano (25 April 1194, Tombolo – 7 October 1259) was an Italian feudal lord, a member of the Ezzelini family, in the March of Treviso (in modern Veneto). He was a close ally of the emperor Frederick II (r. 1220–1250), and ruled Verona, Vicenza and Padua for almost two decades. He became infamous as a cruel tyrant, and was, in fact, the most "notorious" of the "early tyrants".
Unbelievable Gwenpool
The Unbelievable GwenPool, more commonly called Unbelievable Gwenpool, is a manga-influenced superhero-isekai comic book series published by Marvel Comics, featuring Gwen Poole as its main protagonist. Written by Christopher Hastings and primarily illustrated by Gurihiru, the series was a spin-off from the character's feature in a Howard the Duck comic, and was Gwenpool's first solo series. The series lasted 27 issues, #1–25, two holidays specials, and a special #0 that collected her intro material (including the first holiday special). The series ran from June 2016 to April 2018, and was followed by the spin-off webtoon series It's Jeff, published since 2021, with Gurihiru returning as the primary artists.

Superhero fiction
Superhero fiction is a subgenre of speculative fiction showcasing the adventures of costumed crime-fighters known as superheroes, who often possess superhuman powers and battle similarly powered criminals known as supervillains. The genre primarily falls between hard fantasy and soft science fiction in the spectrum of scientific realism, often merging into science fantasy. It is most commonly associated with comic books, though it has expanded into other media through adaptations and original works.
Mormaison
Mormaison (French pronunciation: [mɔʁmɛzɔ̃]) is a former commune in the Vendée department in the Pays de la Loire region in western France. On 1 January 2016, it was merged into the new commune of Montréverd.

Vendée
Vendée (French pronunciation: [vɑ̃de] ⓘ) is a department in the Pays de la Loire region in Western France, on the Atlantic coast. In 2019, it had a population of 685,442. Its prefecture is La Roche-sur-Yon.
2022 SMART Modified Tour
The 2022 SMART Modified Tour was the 18th season of the SMART Modified Tour. It began with the Low Country 99 at Florence Motor Speedway on March 5. It ended with The Radford Race at Ace Speedway on October 22. Caleb Heady won his first championship in the series, 14 points ahead of series runner up Brandon Ward.

Brandon Ward (racing driver)
Brandon Ward (born October 11, 1980) is an American professional stock car racing driver who last competed part-time in the NASCAR Whelen Modified Tour, driving the No. 04 for Jeff Day.

Ward has previously competed in series such as the now defunct NASCAR Whelen Southern Modified Tour, the SMART Modified Tour, what is now known as the ARCA Menards Series East, the NASCAR Goody's Dash Series, the X-1R Pro Cup Series, the PASS South Super Late Model Series, the PASS National Championship Super Late Model Series, and the World Series of Asphalt Stock Car Racing.
The Weston & Somerset Mercury
The Weston, Worle & Somerset Mercury is a weekly paid for newspaper that covers Weston-super-Mare and the surrounding areas of Somerset and North Somerset in England. The Weston Mercury was established 1 April 1843 and was family-owned for much of its history. The Somerset Mercury is a regional edition of The Weston & Somerset Mercury which covers the Cheddar and Axbridge area of Somerset.

It is published by Newsquest.

It has won the Newspaper Society's Community Newspaper of the year award numerous times, most recently in 2007 and 2008.

Its office is in the heart of Weston town centre. Also based in the Weston office is the Mercury's sister paper, the North Somerset Times, and the Midweek Mercury, a free weekly newspaper which incorporates the former free advert paper Admag.

North Somerset
North Somerset is a unitary authority in the ceremonial county of Somerset, England. The council is based in Weston-super-Mare, the area's largest town. The district also contains the towns of Clevedon, Nailsea and Portishead, along with a number of villages and surrounding rural areas. Some southern parts of the district fall within the Mendip Hills, a designated Area of Outstanding Natural Beauty.

The district was formed in 1974 as the Woodspring district of the county of Avon. Avon was abolished in 1996, when the district was renamed North Somerset and its council took on county-level functions from the abolished county council.

The district is on the coast, facing the Bristol Channel to the west. The neighbouring districts are Bristol, Bath and North East Somerset and Somerset.
Nokia 3100
The Nokia 3100 is a triband-GSM mobile phone announced on 17 June 2003 as an entry-level phone from Nokia and released in September 2003, designed primarily for the newer generation of marketing audience.

The Nokia 3100 was developed from the Nokia 6100 as a successor to the Nokia 3510. The phone was Nokia's first in the youth-oriented 3000-series to be equipped with a 128×128 pixel passive colour display (4096 colors/12-bit), and included Java MIDP 1.0, XHTML and WAP browser, GPRS, Pop-Port connectivity and Lithium-ion battery. It is also capable of playing polyphonic MIDI files, which can be used as ringtones.

It is compact in size and lightweight, and also features special lighting effects.

XHTML
Extensible HyperText Markup Language (XHTML) is part of the family of XML markup languages which mirrors or extends versions of the widely used HyperText Markup Language (HTML), the language in which Web pages are formulated.

While HTML, prior to HTML5, was defined as an application of Standard Generalized Markup Language (SGML), a flexible markup language framework, XHTML is an application of XML, a more restrictive subset of SGML. XHTML documents are well-formed and may therefore be parsed using standard XML parsers, unlike HTML, which requires a lenient, HTML-specific parser.

XHTML 1.0 became a World Wide Web Consortium (W3C) recommendation on 26 January 2000. XHTML 1.1 became a W3C recommendation on 31 May 2001. XHTML is now referred to as "the XML syntax for HTML" and being developed as an XML adaptation of the HTML living standard.