the-french-artist/wikipedia_20220301.simple_sentence_embeddings huggingface dataset:
Viking Age 
 Harold Godwinson was subsequently defeated within a month by William, Duke of Normandy, who was another descendant of Vikings.
Viking Age 
 Scotland took its present form when it regained territory from the Norse between the thirteenth and the fifteenth centuries.
Viking Age 
 Instead, the Viking age is said to have ended with the establishment of royal authority in the Scandinavian countries and the adoption of Christianity as the dominant religion.
Viking Age 
 The Kingdom of the Franks under Charlemagne was especially hard-hit by Viking raiders, who could sail down the Seine without much difficulty.
Viking Age 
 Near the end of Charlemagne's reign and throughout the reigns of his sons and grandsons, a string of Viking raids began, leading to a Scandinavian conquest and settlement of the region now known as Normandy.
Viking Age 
 In 911, French King Charles the Simple made an agreement with the Viking warleader Rollo, a chieftain of either Norwegian or Danish origin.
Viking Age 
 In return, Rollo swore fealty to Charles, converted to Christianity, and swore to defend the northern region of France against raids by other Viking groups.
Viking Age 
 Several generations later, the Norman descendants of these Viking settlers identified themselves as French and brought the French language and their variant of French culture to England in 1066.
Viking Age 
 With the Norman Conquest, they became the ruling aristocracy of Anglo-Saxon England, leading to the change from Old English to Middle English language.
Viking Age 
 According to Viking beliefs, Viking chieftains would please their war-gods by their bravery, and would become "worth-ship"; that is, the chieftain would earn a "burial at sea".
Viking Age 
 They also performed land burials which often still included a ship, treasure, weapons, tools, clothing and even slaves and women buried alive with the dead chieftain, for his journey to Valhalla and adventure in the after-life.
Viking Age 
 Some farmers even called their fields after Freyr, in the hope that this would ensure a good harvest.
Viking Age 
 Toward the end of the Viking Age, more and more Scandinavians were converted to Christianity, often by force.
Viking Age 
 The introduction of Christianity did not immediately end Viking voyages, but it may have been a factor that helped the Viking Age to an end.
Viking Age 
 Some of the most important trading ports during the period include both existing and ancient cities such as Jelling (Denmark), Ribe (Denmark), Roskilde (Denmark), Hedeby (Denmark, now Germany), Aarhus (Denmark), Vineta (Pomerania), Truso (Poland), Kaupang (Norway), Birka (Sweden), Bordeaux (France), Jorvik (England), Dublin (Ireland) and Aldeigjuborg (Russia).
Viking Age 
 In the late 19th century (1800s), Richard Wagner and other artists in the Romantic period made operas and other artwork about ancient Germanic culture.
Viking Age 
 They came up with the idea of Vikings wearing fur clothes and helmets with wings or horns on them and drinking out of hollowed-out animal horns.
Viking Age 
 Wagner and his partners deliberately dressed the actors in the opera Ring des Nibelungen so they would look like ancient Germans and so the audience would feel like modern Germans came from medieval Vikings.
Viking Age 
 Technical marvels, Viking longships sailed seas and rivers, or served as floating battlefields”, Military History 19, no.
Collusion 
 A collusion is a secret agreement between two or more people or groups, usually to create unlawful advantages over other groups.
Collusion 
 In businesses, this is often done by intentionally by secretly changing the supply and demand of goods and services.
Collusion 
 Sometimes major companies will use collusions to make significant advantages over other companies by the use of cartels (the creation of unfair trade deals).
Claret 
 Many New World wines are single vine strains such as Cabernet Sauvignon, Merlot, Pinot noir, Syrah (Shiraz), and the white wine grapes Chardonnay and Sauvignon blanc.
Claret 
 A cheap French (or Spanish or Italian) wine which might sell in at home fore under £1, will sell for £4 or more in the UK.
Claret 
 The Waitrose wine list for 2015/16 lists 11 red Bordeaux wines which sell for over £100 a bottle, and the top prices are:
Infinite monkey theorem 
 The infinite monkey theorem says that a monkey randomly hitting keys on a typewriter will eventually type out one of William Shakespeare's works.
Infinite monkey theorem 
 If the monkey does not have extra characters like numbers (example: 4, 2) and symbols (example: #, ~) then the monkey will only have 53 things on is keyboard to press.
Infinite monkey theorem 
 Those are: a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, and the spacebar.
Infinite monkey theorem 
 Since there are only 53 buttons the monkey is allowed to press, eventually, he will hit the "W" button.
Infinite monkey theorem 
 This is because the monkey has infinite time to press the buttons and has a 1 in 53 chance of pressing the W button.
Infinite monkey theorem 
 Then, he will probably hit another button and not type the sentence "Wikipedia is the best website in the world".
Infinite monkey theorem 
 After every time the monkey presses the "W" button, he has a 1 in 53 chance of pressing the "i" button.
Infinite monkey theorem 
 But, since the "W" button will be pressed infinite times, the word "Wi" will appear infinite times too.
Infinite monkey theorem 
 This is because the chance of "i" following "W" is equal to the chance of "W" which is 1/53 multiplied by the chance of "i" following it which is 1/53.
Infinite monkey theorem 
 That is really small, but since "W" and "i" appear an infinite amount of times in the monkey's words it becomes certain.
Infinite monkey theorem 
 However, since "W" and "i" both will be presses by the monkey an infinite amount of time, "Wi" will actually appear an infinite amount of times too.
Infinite monkey theorem 
 Eventually, after even longer time, there will be the word "Wik" because "Wi" appears infinite times and "k" has a 1 in 53 chance of following it.
Infinite monkey theorem 
 Following this logic, we will see "Wikip" and "Wikipe" and "Wikiped" and "Wikipedi" all the way until we will see "Wikipedia is the best website in the world".
Infinite monkey theorem 
 Since the sentence "Wikipedia is the best website in the world" was just any sentence, by using the proof above, one can know anything appears an infinite amount of times.
Infinite monkey theorem 
 This is like how you can find any combination of numbers (example:1829192) in the number pi since it has an infinite amount of random numbers.
Ascomycota 
 The ascus is a tube-shaped sac, which contains the sexual spores produced by meiosis and which are called ascospores.
Random variable 
 A random variable is typically represented by capital roman letters such as , ,  and , and can be either discrete (taking on a countable set of values) or continuous (taking on an interval of values).
Random variable 
 For example, let's say that we use a dice that has been changed in one way: it never rolls the number 5.
María Trinidad Sánchez Province 
 María Trinidad Sánchez was an aunt of Francisco del Rosario Sánchez, one of the founders of the country.
María Trinidad Sánchez Province 
 The territory of the province was part of the Duarte province and then it was made a municipality of the Samaná province.
María Trinidad Sánchez Province 
 In 1958, it was made a province with the name Julia Molina, after the mother of the dictator Rafael Trujillo, with the municipalities of Julia Molina and Cabrera and the municipal district, later a municipality, of Río San Juan.
María Trinidad Sánchez Province 
 In 1961, after Trujillo's death, the province was given the present name and the capital was named Nagua.
María Trinidad Sánchez Province 
 San José de Matanzas was made a municipal district in 1996, Arroyo Salado in 2000, La Entrada and El Pozo in 2001, Las Gordas in 2003 and Arroyo al Medio in 2006.
María Trinidad Sánchez Province 
 The province has the Samaná province to the southeast, the Duarte province to the south and west and the Espaillat province to the northwest.
María Trinidad Sánchez Province 
 In  (last national census), there were  people living in the María Trinidad Sánchez province, and 74,019 () living in towns and cities.
María Trinidad Sánchez Province 
 Its population represents  of the total population of the country and the province is ranked as the 20th (out of 31 plus the National District) more populated province.
María Trinidad Sánchez Province 
 The largest city of the province is Nagua, its capital, with a population (in ) of 40,611 inhabitants.
María Trinidad Sánchez Province 
 It has  of the area of the Dominican Republic and it is ranked as the 20th (out of 31 plus the National District) largest province.
María Trinidad Sánchez Province 
 The Cordillera Septentrional (in English, "Northern mountain range") is in the southern part of the province, going from the northwest to the southeast.
María Trinidad Sánchez Province 
 The mountains here are not very high, and the mountain range ends in the southeastern part of the province, in a large swamp called Gran Estero close to the Samaná province.
María Trinidad Sánchez Province 
 The protected areas in the province are the Natural Scientific Reserve Loma Guaconejo (Reserva Científica Natural Loma Guaconejo), the National Park Cabo Francés Viejo and the National Park Gran Laguna.
María Trinidad Sánchez Province 
 In some partes of the province, mainly in the northern parte (Río San Juan and Cabrera), tourism is an important activity because there are many beautiful beaches.
Monseñor Nouel Province 
 The province was named after Archbishop Adolfo Alejandro Nouel, who was President of the Dominican Republic in 1912-1913.
Monseñor Nouel Province 
 The valley where is the province was named by the Spanish conquistadors as Sabana de Bonao ("Bonao Savanna"; Bonao was the Taíno name of the region.
Monseñor Nouel Province 
 Bartholomew Columbus, younger brother of Christopher Columbus, founded here a fort in 1495-1497 and Bonao became one of the most important city of the Hispaniola island during the first years of the Spanish colony.
Monseñor Nouel Province 
 Later, the city was abandoned and was founded again during the Haitian occupation with the name of "Paraje del Yuna".
Monseñor Nouel Province 
 The province was created in 1982 with the municipality of Monseñor Nouel and the municipal districts of Piedra Blanca and Maimón.
Monseñor Nouel Province 
 In 2005, the name of the municipality of Monseñor Nouel was changed to Bonao even if the name had been changed since 1960.
Monseñor Nouel Province 
 In 1982, Maimón became a municipality and in 1991 Piedra Blanca became the third municipality of the province.
Monseñor Nouel Province 
 Villa Sonador became a municipal district in 1999, Sabana del Puerto in 2000, Juan Adrián in 2001, Juma Bejucal in 2004, and Arroyo Toro-Masipedro and Jayaco in 2006.
Monseñor Nouel Province 
 The Monseñor Nouel province is bordered to the north and the west by the La Vega province, to the east by the Juan Sánchez Ramírez and Monte Plata provinces and to the south by the San Cristóbal and San José de Ocoa provinces.
Monseñor Nouel Province 
 In  (last national census), there were  people living in the Monseñor Nouel province, and 112,305 () living in towns and cities.
Monseñor Nouel Province 
 Its population represents  of the total population of the country and the province is ranked as the 17th (out of 31 plus the National District) more populated province.
Monseñor Nouel Province 
 The largest city of the province is Bonao, its head municipality or capital, with a population (in ) of 76,241 inhabitants.
Monseñor Nouel Province 
 It has   of the area of the Dominican Republic and it is ranked as the 24th (out of 31 plus the National District) largest province.
Monseñor Nouel Province 
 The province is mainly in a valley surrounded by mountains: the Cordillera Central ("Central mountain range" by the north, west and south, and by the Sierra de Yamasá ("Yamasá mountain range"), a branch of the Cordillera Central, by the east.
Monseñor Nouel Province 
 The most important river is the Yuna, one of the largest of the Dominican Republic and of the Hispaniola island.
Monseñor Nouel Province 
 The main economic activities in the province are farming and mining (mainly surface mining of nickel).
Monte Cristi Province 
 When Christopher Columbus visited for the first time the northern coast of the Hispaniola island, he saw on 4 January 1493 a mountain with the shape of a dromedary and named it as Monte Cristo or Monte Christi ("Mountain of Christ") to this mountain now known as El Morro, close to the city of San Fernando de Monte Cristi.
Monte Cristi Province 
 In 1533, Juan de Bolaños brought a group of 60 families from the Canary Islands to live in the place.
Monte Cristi Province 
 The town was destroyed in 1606 by order of the Spanish Crown and the inhabitants were moved, together with the inhabitants of Puerto Plata inhabitants, away from the northern coast to form the new town of Monte Plata.
Monte Cristi Province 
 Monte Cristi was made as a Maritime District (a special administrative category similar to a province and that has been abandoned) in 1879.
Monte Cristi Province 
 Guayubín is a municipality since 1855, Villa Vásquez since 1938, Pepillo Salcedo since 1949, Castañuelas since 1974 and Las Matas de Santa Cruz since 1985.
Monte Cristi Province 
 Villa Elisa and Hatillo Palma became municipal districts in 1997, Cana Chapetón in 1999 and Palo Verde in 2002.
Monte Cristi Province 
 The Monte Cristi province is bordered to the north and est by the Atlantic Ocean, to the east by the Puerto Plata and Valverde provinces and to the south by the Dajabón and Santiago Rodríguez provinces.
Monte Cristi Province 
 In  (last national census), there were  people living in the Monte Cristi province, and 58,224 () living in towns and cities.
Monte Cristi Province 
 Its population represents  of the total population of the country and the province is ranked as the 21st (out of 31 plus the National District) more populated province.
Monte Cristi Province 
 The largest city of the province is Monte Cristi, its head municipality or capital, with a population (in ) of 24,644 inhabitants.
Monte Cristi Province 
 It has   of the area of the Dominican Republic and it is ranked as the 9th (out of 31 plus the National District) largest province.
Monte Cristi Province 
 The Monte Cristi province is in the northwestern part of the Cibao Valley; this part is also called the Yaque del Norte Valley or Línea Noroeste and is very dry because it does not rain much here.
Monte Cristi Province 
 The most important river in the province is the Yaque del Norte, the longest river of the Dominican Republic.
Monte Cristi Province 
 The Cordillera Septentrional ("Northern mountain range") runs along the northern coast of the province; there are not high mountains, only low hills.
Monte Cristi Province 
 At the western end of this mountain range is the "El Morro" mountain, forming a headland or a small peninsula.
Monte Plata Province 
 Monte Plata is a province of the Dominican Republic; its capital city has the same name, Monte Plata.
Monte Plata Province 
 In colonial times, people from Monte Cristi and Puerto Plata came to live to this region by orders of the Spanish king and gave to the town a new name that comes from the two original towns, Monte Plata.
Monte Plata Province 
 After the Dominican independence from Haiti in 1844, this region was part of the old Santo Domingo Province.
Monte Plata Province 
 During the Restoration War against Spain (1861 - 1865), there were several important battles in the region.
Monte Plata Province 
 In 1932, the region was made part of the new San Cristóbal province and then it was made a province with the name of Monte Plata but soon the name was changed to Monseñor Meriño after the Archbishop Fernando Arturo de Meriño, who was President of the Dominican Republic in 1880-1882.
Monte Plata Province 
 Then, in 1944, the province was made part of the San Cristóbal province again until 1982 when the new Monte Plata province was created with the municipalities of Monte Plata, Sabana Grande de Boyá, Yamasá and Bayaguana.
Monte Plata Province 
 Don Juan became a municipal district in 1987, Gonzalo in 1997, Los Botados in 1998, Majagual in 2001, Chirino in 2002, Boyá in 2004 and Mamá Tingó in 2010.
Monte Plata Province 
 To the north, it has the Sánchez Ramírez, Duarte and Samaná provinces; to the east, the Hato Mayor and San Pedro de Macorís; to the south, the Santo Domingo province; and to the west, the San Cristóbal and Monseñor Nouel provinces.
Monte Plata Province 
 In  (last national census), there were  people living in the Monte Plata province, and 91,838 () living in towns and cities.
Monte Plata Province 
 Its population represents  of the total population of the country and the province is ranked as the 15th (out of 31 plus the National District) more populated province.
Monte Plata Province 
 The largest city of the province is Bayaguana, with an urban population (in ) of 20,303 inhabitants.
Monte Plata Province 
 It has   of the area of the Dominican Republic and it is ranked as the 5th (out of 31 plus the National District) largest province.
Monte Plata Province 
 Los Haitises is a karstic region found in the northwestern part of the province; most of it is now a national park.
Monte Plata Province 
 The Monte Plata province has a tropical wet climate with no dry or cold season as it is constantly moist.
Ado 
 Eduardo Roberto Stinghen (born July 4, 1946 in Várzea Grande, Mato Grosso), better known as Ado, is a former Brazilian footballer who played as a goalkeeper.
José Guilherme Baldocchi 
 José Guilherme Baldocchi (born 14 March 1946), better known as Baldocchi, is a former Brazilian footballer who played as a central defender.
Hilderaldo Bellini 
 Bellini died on 20 March 2014, aged 83, in São Paulo, due to complications caused by Alzheimer's disease ending with cardiac arrest.
Orlando Peçanha de Carvalho 
 Orlando Peçanha de Carvalho (20 September, 1935 – 10 February,  2010) is a former Brazilian football player.
Lje 
 It is used to denote the palatal lateral approximant , a sound similar (but not equal) to the palatalized alveolar lateral  represented by the digraph Ль.
Lje 
 It was created by Vuk Karadžić and is same to the Latin digraph  in Serbian language and Croatian language.
Higher 
 It is studied by students in their last two years at secondary school aged fifteen to seventeen and is slightly harder than the English GCSE.
San Cristóbal Province 
 The province has the name of the capital city, San Cristóbal, but it was created with the name Trujillo, after the dictator Rafael Trujillo who was born in that city.
San Cristóbal Province 
 The province of San Cristóbal was created on 1932 with the municipalities of San Cristóbal, Baní, Monte Plata, Yamasá, Villa Mella, La Victoria, San José de Ocoa and Bonao; its capital was the city of San Cristóbal.
San Cristóbal Province 
 In 1934, the name was changed to Provincia Trujillo with the municipalities of San Cristóbal, Baní, Monte Plata, Yamasá, Villa Mella, La Victoria, Guerra and Bayaguana.
San Cristóbal Province 
 When the Monte Plata province was created in 1982, the San Cristóbal province had the municipalities of San Cristóbal, Villa Altagracia, Bajos de Haina and Yaguate, and the municipal districts of Cambita Garabitos and Sabana Grande de Palenque.
San Cristóbal Province 
 Cambita Garabitos became a municipality in 1987, Sabana Grande de Palenque in 1997, San Gregorio de Nigua in 2001 and Los Cacaos in 2004.
San Cristóbal Province 
 In 2004, Hato Damas became a municipal district; El Carril in 2001; San José del Puerto, Medina and La Cuchilla in 2002; and Cambita el Pueblecito in 2005.
San Cristóbal Province 
 It is bordered to the north by the Monseñor Nouel province, to the northeast by the Monte Plata province, to the east by the Santo Domingo province and to the west by the Peravia and San José de Ocoa province.
San Cristóbal Province 
 In  (last national census), there were  people living in the San Cristóbal province, and 295,539 () living in towns and cities.
San Cristóbal Province 
 Its population represents  of the total population of the country and the province is ranked as the 4th (out of 31 plus the National District) more populated province.
San Cristóbal Province 
 The largest city of the province is San Cristóbal, its head municipality or capital, with an urban population (in ) of 138,455 inhabitants.
San Cristóbal Province 
 It has  of the area of the Dominican Republic and it is ranked as the 19st (out of 31 plus the National District) largest province.
Reading F.C. 
 Reading were formed on 25 December 1871 and were known for many years as 'the Biscuitmen' because of the local biscuit factory in the town.
Edict of Nantes 
 It was signed in Nantes by King Henry IV in April 1598, although some provinces blocked it until 1610.
Edict of Nantes 
 Henry IV was a former Huguenot (French Protestant) who had changed his religion to being Catholic so that he could be the king of France.
Edict of Nantes 
 It only allowed people to be Protestants in certain areas, where they were allowed to defend their own fortress towns.
Edict of Nantes 
 Many Catholics in France hated the idea of allowing people to be Protestant, while the Protestants thought that it did not go far enough.
Edict of Nantes 
 The Edict of Nantes was weakened during the reign of King Louis XIII, with many of the fortress towns being captured by the government.
Edict of Nantes 
 In 1685, King Louis XIV replaced the Edict of Nantes with the Edict of Fontainebleau, which banned people from being Protestant.
Edict of Nantes 
 Being an  ruler, Louis thought that there should be one king, one nation, and one church only - and that church had to be the Roman Catholic Church.
Edict of Nantes 
 Louis XIV ordered that France's borders be closed, and said that nobody could leave the country without his permission.
Edict of Nantes 
 Protestant countries in Europe were glad to have such hard-working subjects: over a third of the Huguenots went to the Netherlands.
Edict of Nantes 
 They also brought many secrets of French manufacturing with them: for example, they introduced silk production to the rest of Europe.
Cross product 
 The cross product is a mathematical operation which can be done between two three-dimensional vectors.
Cross product 
 The cross product of two vectors is always perpendicular (it makes a corner-shaped angle) to both of the vectors which were "crossed".
Cross product 
 This means that cross product normally works only in three-dimensional space; that is, anywhere where you can go up or down, left or right, and forward or backwards.
Cross product 
 Being a vector operation, the cross product is extremely important in all sorts of sciences (particularly physics), engineering, and mathematics.
Cross product 
 One important example of the cross product involves torque (pushing or pulling in a circle, like twisting off a bottle cap.)
Cross product 
 By holding your right hand as shown in the picture, your thumb points in the direction of  (the cross product of  and ), with the index finger pointing in the direction that  points, and the middle finger pointing in the direction that  points.
Cross product 
 If the angle between the index (your pointer finger) and middle (second finger away from your thumb) fingers is greater than 180°, then you need to turn the hand upside down.
Cross product 
 Since cross products usually only work for three-dimensional vectors, the calculation of cross product in two dimensions thinks of the vectors as if they are on a flat surface (like a sheet of paper) in three dimensions (like a room or a large cube).
Cross product 
 If one "crosses" two vectors which are both in the xy-plane, then the product, being perpendicular to both vectors, must point in the z direction.
Cross product 
 If the value of  is positive, then it points out of the page; if its value is negative, then it points into the page.