the-french-artist/wikipedia_20220301.simple_sentence_embeddings huggingface dataset:
Mathematics 
 These rules leave out information that is not important so that a single rule can cover many situations.
Mathematics 
 By finding general rules, mathematics solves many problems at the same time as these rules can be used on other problems.
Mathematics 
 These rules can be called theorems (if they have been proved) or conjectures (if it is not known if they are true yet).
Mathematics 
 On the other hand, sometimes these ideas and rules are found in the real world after they are studied in mathematics; this has happened many times in the past.
Mathematics 
 Some examples of math problems are addition, subtraction, multiplication, division, calculus, fractions and decimals.
Mathematics 
 Most of the areas listed below are studied in many different fields of mathematics, including set theory and mathematical logic.
Mathematics 
 The study of number theory usually focuses more on the structure and behavior of the integers rather than on the actual foundations of numbers themselves, and so is not listed in this given subsection.
Mathematics 
 || Ordinal numbers || Cardinal numbers || Arithmetic operations || Arithmetic relations || Functions, see also special functions
Mathematics 
 Applied mathematics uses mathematics to solve problems of other areas such as engineering, physics, and computing.
Mathematics 
 Numerical analysis – Optimization – Probability theory – Statistics – Mathematical finance – Game theory – Mathematical physics – Fluid dynamics - computational algorithms
Mathematics 
 Pythagorean theorem – Fermat's last theorem – Goldbach's conjecture – Twin Prime Conjecture – Gödel's incompleteness theorems – Poincaré conjecture – Cantor's diagonal argument – Four color theorem – Zorn's lemma – Euler's Identity – Church-Turing thesis
Mathematics 
 Riemann hypothesis – Continuum hypothesis – P Versus NP – Pythagorean theorem – Central limit theorem – Fundamental theorem of calculus – Fundamental theorem of algebra – Fundamental theorem of arithmetic – Fundamental theorem of projective geometry – classification theorems of surfaces – Gauss-Bonnet theorem – Fermat's last theorem - Kantorovich theorem
Mathematics 
 Progress in understanding the nature of mathematics also influences the way mathematicians study their subject.
Mathematics 
 Philosophy of Mathematics – Mathematical intuitionism – Mathematical constructivism – Foundations of mathematics – Set theory – Symbolic logic – Model theory – Category theory – Logic – Reverse Mathematics – Table of mathematical symbols
Mathematics 
 History of mathematics – Timeline of mathematics – Mathematicians – Fields medal – Abel Prize – Millennium Prize Problems (Clay Math Prize) – International Mathematical Union – Mathematics competitions – Lateral thinking – Mathematics and gender
Mathematics 
 The Clay Mathematics Institute has said it will give one million dollars to anyone who solves one of the Millennium Prize Problems.
March 
 March always begins on the same day of the week as November, and additionally, February in common years.
March 
 It was named after the war god (Mars) and the Romans thought that it was a lucky time to begin a war.
March 
 Before Julius Caesar's calendar reform, March was the first month of the year in the Roman calendar, as the winter was considered to be a monthless period.
March 
 March begins on the same day of the week as February in common years and November every year, as each other's first days are exactly 4 weeks (28 days) and 35 weeks (245 days) apart respectively.
March 
 March ends on the same day of the week as June every year, as each other's last days are exactly 13 weeks (91 days) apart.
March 
 In common years, March starts on the same day of the week as June of the previous year, and in leap years, September and December of the previous year.
March 
 In common years, March finishes on the same day of the week as September of the previous year, and in leap years, April and December of the previous year.
March 
 In years immediately before common years, March starts on the same day of the week as August of the following year, and in years immediately before leap years, May of the following year.
March 
 In years immediately before common years, March finishes on the same day of the week as August and November of the following year, and in years immediately before leap years, May of the following year.
March 
 In terms of seasons, March is one of two months to have an equinox (the other is September, its seasonal equivalent in both  hemispheres), with daylight and darkness of roughly the same number of hours, halfway between the December and June solstices.
March 
 In the Northern Hemisphere, spring starts in this month, while it is autumn in the Southern Hemisphere.
March 
 The official start of either season is March 1, though the equinox can fall on March 20 or 21, occasionally on March 19.
March 
 It is from the March 21 date that Easter's date is calculated, on the Sunday after the first full moon in spring, meaning it can fall between March 22 and April 25 in Western Christianity.
March 
 March 25 - Annunciation of the Blessed Virgin Mary (Roman Catholicism), also known as Lady Day, old New Year in some European countries
March 
 Easter occurs on a Sunday between March 22 and April 25 (note: In Eastern Christianity, Easter falls between April 4 and May 8).
March 
 Jewish Passover coincides with Christian Holy Week, earliest run is March 15 to March 22, latest run is April 18 to April 25.
March 
 Six Nations - rugby union tournament running from early February to mid-March, competing countries are England, France, Ireland, Italy, Scotland and Wales
March 
 March 3, 1925 - The Mount Rushmore monument is founded, starting work on carving four Presidents' faces into the mountain.
March 
 March 5, 1953 - Russian composer Sergei Prokofiev and Soviet leader Joseph Stalin die on the same day as each other.
March 
 March 7, 1912 - Roald Amundsen announces that his Norwegian expedition successfully reached the South Pole on December 14 of the previous year.
March 
 March 11, 2011 - The 2011 Sendai earthquake and tsunami disaster kills  many thousands of people in northeastern Japan, after a magnitude 9.1 earthquake, tsunamis, and a nuclear disaster at Fukushima.
March 
 March 12, 1930 - Mahatma Gandhi begins his Salt March, as part of the movement for Indian independence.
March 
 March 20, 526 - The 526 Antioch earthquake kills around 300,000 people in Syria and southeastern Turkey.
March 
 March 21, 1960 - Sharpeville massacre: Police open fire on demonstrators in South Africa, killing 69 people.
March 
 March 24, 1989 - The Exxon Valdez oil tanker runs aground at Prince William Sound in Alaska, causing a devastating oil spill.
March 
 March 30, 1867 - United States Secretary of State agrees to purchase Alaska from Russia for $7.2 million.
March 
 March 31, 1968 - US President Lyndon B. Johnson announces that he intends not to run for re-election.
March 
 March 31, 1995 - American singer Selena is shot and killed by her former manager and friend of her boutiques, Yolanda Saldivar.
March 
 March is one of two months of the year that begin with an 'M' in the English language (May is the other).
March 
 Recent occurrences in March were in 2002 (March 31), 2005 (March 27), 2008 (March 23), 2013 (March 31) and 2016 (March 27).
May 
 May is the fifth month of the year in the Julian and Gregorian calendars, coming between April and June.
May 
 The month of May might have been named for the Roman goddess Maia, or more likely the Roman goddess of fertility Bona Dea, whose festival was held in May.
May 
 May is likely to have been named after the Roman goddess Maia, though there is a theory that May might have its name from the Latin "Maiores", meaning "Seniors".
May 
 No other month of any year either begins or ends on the same day of the week as May: this month is the only one that has both of these properties.
May 
 In common years, May starts on the same day of the week as August of the previous year, and in leap years, March and November of the previous year.
May 
 In common years, May finishes on the same day of the week as August and November of the previous year, and in leap years, March and June of the previous year.
May 
 In leap years and years immediately after that, May starts on the same day of the week as February of the previous year.
May 
 Every year, May both starts and finishes on the same day of the week as January of the following year, as each other's first and last days are exactly 35 weeks (245 days) apart.
May 
 In years immediately before common years, May starts on the same day of the week as October of the following year, and in years immediately before leap years, April and July of the following year.
May 
 In years immediately before common years, May finishes on the same day of the week as February and October of the following year, and in years immediately before leap years, July of the following year.
May 
 In the Northern Hemisphere, May is in late Spring, and May Day on May 1 and Walpurgis Night, during the night of April 30 to May 1, are symbolic of the transition from winter to summer.
May 
 In the Southern Hemisphere, it is in autumn, and comes just before the Antarctic winter, when emperor penguins breed there.
May 
 In the United States, Memorial Day, a public holiday, is on May 30, but is observed on the last Monday in May.
May 
 Pentecost, between May 10 and June 13 in Western Christianity and between May 23 and June 26 in Eastern Orthodox Christianity
May 
 May 6, 1937 - The airship LZ 129 Hindenburg catches fire on landing in New Jersey, killing 36 people.
May 
 May 10, 1940 - Winston Churchill becomes Prime Minister of the United Kingdom on the same day that Germany invades the Netherlands, Belgium and Luxembourg.
May 
 May 11, 1812 - Spencer Perceval becomes the only Prime Minister of the United Kingdom to be assassinated.
May 
 May 12, 2008 - A major earthquake strikes Sichuan province, China, killing tens of thousands of people.
May 
 May 16, 2009 - Alexander Rybak of Norway wins the Eurovision Song Contest with a record points total.
May 
 May 18, 1980 - Mount Saint Helens erupts in Washington State, killing 57 people, and changing the surrounding landscape completely.
May 
 May 21, 2006 - Voters in Montenegro choose, by a majority, to separate from Serbia and become independent.
May 
 May 27, 1937 - The Golden Gate Bridge in San Francisco opens to people crossing it on foot, opening to vehicle traffic the next day.
May 
 May 29, 1660 - Charles II of England, Scotland and Ireland becomes King, restoring the monarchy there.
May 
 May 29, 1953 - Edmund Hillary and Tenzing Norgay become the first people known to have reached the top of Mount Everest, from the Nepalese side.
May 
 May 31, 1970 - A major earthquake strikes Peru, causing several avalanches, the deadliest of which buries the town of Yungay.
May 
 May is the only month that never begins (June is the other) nor ends (September is the other) on the same day of the week as any other months within any calendar year.
May 
 Along with March, May is one of two months in the English language that start with 'M' and have an 'A' as their second letter.
May 
 The astrological signs for May are Taurus (April 21 to May 20) and Gemini (May 21 to June 20): Additionally, in the English language, May is the only month of the year whose two astrological signs don't share any letters in common.
May 
 May is the second of three months in a row, in the English language, that can also be a female given name, along with April and June.
May 
 Two 20th century US Presidents were born in May - Harry S. Truman (May 8) and John F. Kennedy (May 29).
May 
 No President of the United States, to-date, has died in May, though James Buchanan narrowly avoided doing so, dying on the morning of June 1, 1868.
Music 
 Music is also a form of entertainment that puts sounds together in a way that people like, find interesting or dance to.
Music 
 Most music includes people singing with their voices or playing musical instruments, such as the piano, guitar, drums or violin.
Music 
 Timbre is what makes a clarinet sound different from an oboe, and what makes one person's voice sound different from another person.
Music 
 A different approach is to list the qualities music must have, such as, sound which has rhythm, melody, pitch, timbre, etc.
Music 
 These and other attempts, do not capture all aspects of music, or leave out examples which definitely are music.
Music 
 According to Thomas Clifton, music is "a certain reciprocal relation established between a person, his behavior, and a sounding object".p10 Musical experience and the music, together, are called phenomena, and the activity of describing phenomena is called phenomenology.
Music 
 It may also serve as entertainment (games), or have practical uses, like attracting animals when hunting.
Music 
 The oldest known Neanderthal hyoid bone with the modern human form was found in 1983, indicating that the Neanderthals had language, because the hyoid supports the voice box in the human throat.
Music 
 Most likely the first rhythm instruments or percussion instruments involved the clapping of hands, stones hit together, or other things that are useful to keep a beat.
Music 
 The oldest flute ever discovered may be the so-called  Divje Babe flute, found in the Slovenian cave Divje Babe I in 1995.
Music 
 The item in question is a fragment of the femur of a young cave bear, and has been dated to about 43,000 years ago.
Music 
 However, whether it is truly a musical instrument or simply a carnivore-chewed bone is a matter of ongoing debate.
Music 
 The researchers involved in the discovery officially published their findings in the journal Nature, in June 2009.
Music 
 This flute was found next to the Venus of Hohle Fels and a short distance from the oldest known human carving.
Music 
 When they announced their discovery, the scientists suggested that the "finds demonstrate the presence of a well-established musical tradition at the time when modern humans colonized Europe".
Music 
 A wood-lined pit contained a group of six flutes made from yew wood, between 30 and 50 cm long, tapered at one end, but without any finger holes.
Music 
 They have between 5 and 8 holes each and were made from the hollow bones of a bird, the Red-crowned Crane.
Music 
 The bone flute plays both the five- or seven-note scale of Xia Zhi and six-note scale of Qing Shang of the ancient Chinese musical system.
Music 
 Some architecture, even some paintings, are thousands of years old, but old music could not survive until people learned to write it down.
Music 
 The only way we can guess about early music is by looking at very old paintings that show people playing musical instruments, or by finding them in archaeological digs (digging underground to find old things).
Music 
 The earliest piece of music that was ever written down and that has not been lost was discovered on a tablet written in Hurrian, a language spoken in and around northern Mesopotamia (where Iraq is today), from about 1500 BC.
Music 
 Much of the music in the Middle Ages (roughly 450-1420) was folk music played by working people who wanted to sing or dance.
Music 
 In the Renaissance (roughly 1400–1550) there was a lot of music, and many composers wrote music that has survived so that it can be performed, played or sung today.
Music 
 This period was called the "rebirth" because many new types of art and music were reborn during this time.
Music 
 Some very beautiful music was written for use in church services (sacred music) by the Italian composer Giovanni da Palestrina (1525–1594).
Music 
 There was also plenty of music not written for the church, such as happy dance music and romantic love songs.
Music 
 Popular instruments during the Renaissance included the viols (a string instrument played with a bow), lutes (a plucked stringed instrument that is a little like a guitar), and the virginal, a small, quiet keyboard instrument.
Music 
 In the arts, the Baroque was a Western cultural era, which began near the turn of the 17th century in Rome.
Music 
 In music, the term 'Baroque' applies to the final period of dominance of imitative counterpoint, where different voices and instruments echo each other but at different pitches, sometimes inverting the echo, and even reversing thematic material.
Music 
 The popularity and success of the Baroque style was encouraged by the Roman Catholic Church which had decided at the time of the Council of Trent that the arts should communicate religious themes in direct and emotional involvement.
Music 
 The upper class also saw the dramatic style of Baroque architecture and art as a means of impressing visitors and expressing triumphant power and control.
Music 
 Baroque palaces are built around an entrance of courts, grand staircases and reception rooms of sequentially increasing opulence.
Music 
 In similar profusions of detail, art, music, architecture, and literature inspired each other in the Baroque cultural movement as artists explored what they could create from repeated and varied patterns.
Music 
 Some traits and aspects of Baroque paintings that differentiate this style from others are the abundant amount of details, often bright polychromy, less realistic faces of subjects, and an overall sense of awe, which was one of the goals in Baroque art.
Music 
 The word baroque probably derives from the ancient Portuguese noun "barroco" which is a pearl that is not round but of unpredictable and elaborate shape.
Music 
 Hence, in informal usage, the word baroque can simply mean that something is "elaborate", with many details, without reference to the Baroque styles of the seventeenth and eighteenth centuries.
Music 
 Orchestras became bigger, and composers often wrote longer pieces of music called symphonies that had several sections (called movements).
Music 
 Another important type of music was the string quartet, which is a piece of music written for two violins, a viola, and a violoncello.
Music 
 Composers liked the piano, because it could be used to play dynamics (getting louder or getting softer).
Music 
 Other popular instruments included the violin, the violoncello, the flute, the clarinet, and the oboe.
Music 
 Other composers, such as Franz Schubert wrote songs for a singer and a piano player called Lied (the German word for "song").
Music 
 These Lieder (plural of Lied) told stories by using the lyrics (words) of the song and by the imaginative piano accompaniments.
Music 
 Other composers, like Richard Strauss, and Franz Liszt created narratives and told stories using only music, which is called a tone poem.
Music 
 Composers, such as Franz Liszt and Johannes Brahms used the piano to play loud, dramatic, strongly emotional music.
Music 
 It was the period of "Nationalism" (the feeling of being proud of one's country) when many composers made music using folksong or melodies from their country.
Music 
 Lots of famous composers lived at this time such as Franz Schubert, Felix Mendelssohn, Frederic Chopin, Johannes Brahms, Pyotr Tchaikovsky and Richard Wagner.
Music 
 Many 20th century composers wanted to compose music that sounded different from the Classical and Romantic music.
Music 
 Modern composers searched for new ideas, such as using new instruments, different forms, different sounds, or different harmonies.
Music 
 The composer Arnold Schoenberg (1874–1951) wrote pieces which were atonal (meaning that they did not sound as if they were in any clear musical key).
Music 
 Music written with the twelve-tone system sounds strange to some, but is mathematical in nature, often making sense only after careful study.
Music 
 Pure twelve-tone music was popular among academics in the fifties and sixties, but some composers such as Benjamin Britten use it today, when it is necessary to get a certain feel.
Music 
 One of the most important 20th-century composers, Igor Stravinsky (1882–1971), wrote music with very complicated (difficult) chords (groups of notes that are played together) and rhythms.
Music 
 Some composers thought music was getting too complicated and so they wrote Minimalist pieces which use very simple ideas.
Music 
 In the 1950s and 1960s, composers such as Karlheinz Stockhausen experimented with electronic music, using electronic circuits, amplifiers and loudspeakers.
Music 
 In the 1970s, composers began using electronic synthesizers and musical instruments from rock and roll music, such as the electric guitar.
Music 
 Composers writing in the 1990s and the 2000s, such as John Adams (born 1947) and James MacMillan (born 1959) often use a mixture of all these ideas, but they like to write tonal music with easy tunes as well.
Music 
 Blues music was influenced by African music (because the black people in the United States had come to the United States as slaves.
Music 
 Many blues songs had sad lyrics about sad emotions (feelings) or sad experiences, such as losing a job, a family member dying, or having to go to jail (prison).
Music 
 Some black composers such as Scott Joplin were writing music called ragtime, which had a very different rhythm from standard European music, but used notes that were similar to some European music.
Music 
 Jazz musicians used instruments such as the trumpet, saxophone, and clarinet were used for the tunes (melodies), drums for percussion and plucked double bass, piano, banjo and guitar for the background rhythm (rhythmic section).
Music 
 Even though jazz musicians are making up the music, jazz music still has rules; the musicians play a series of chords (groups of notes) in order.
Music 
 A "swinging rhythm" also gets the people who are listening excited, because they like the sound of it.
Music 
 Some people say that a "swinging rhythm" happens when all the jazz musicians start to feel the same pulse and energy from the song.
Music 
 If a jazz band plays very well together, people will say "that is a swinging jazz band" or "that band really swings well."
Music 
 The word "pop music" was used from about 1880 onwards, when a type of music called music was popular.
Music 
 Modern pop music grew out of 1950's rock and roll, (for example Chuck Berry, Bo Diddley and Little Richard) and rockabilly (for example Elvis Presley and Buddy Holly).
Music 
 In this way composers (people who write music) can tell others how to play the musical piece as it was meant to be played.
Music 
 For example, the eight basic notes "Do, Re, Mi, Fa, So, La, Ti, Do" are just the names of the eight notes that confirm the major scale.
Music 
 When it is written on a staff (like in the example shown), the pitches (tones) and their duration are represented by symbols called notes.
Music 
 The duration of the notes (how long they are played for) is shown by making the note "heads" black or white, and by giving them stems and flags.
Music 
 Music can also be written with letters, naming them as in the solfa "Do, Re, Mi, Fa, So, La, Ti, Do" or representing them by letters.
Music 
 The Standard Notation was made to simplify the lecture of music notes, although it is mostly used to represent chords and the names of the music scales.
Music 
 There are more ways to write and represent music, but they are less known and may be more complicated.
Music 
 Classical music is usually performed in concert halls, but sometimes huge festivals are organized in which it is performed outside, in a field or stadium, like pop festivals.
Music 
 People can listen to music on CD's, Computers, iPods, television, the radio, cassette/record-players and even mobile phones.
Music 
 There is so much music today, in elevators, shopping malls, and stores, that it often becomes a background sound that we do not really hear.
Music 
 Probably the most common for complete beginners is the piano or keyboard, the guitar, or the recorder (which is certainly the cheapest to buy).
Music 
 After they have learnt to play scales, play simple tunes and read the simplest musical notation, then they can think about which instrument for further development.
Music 
 For example, a very short child cannot play a full size double bass, because the double bass is over five feet high.
Music 
 People should choose an instrument that they enjoy playing, because playing regularly is the only way to get better.