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Fibonacci Anyons
Fibonacci (; also , ; – ), also known as Leonardo Bonacci, Leonardo of Pisa, or Leonardo Bigollo Pisano ('Leonardo the Traveller from Pisa'), was an Italian mathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages". The name he is commonly called, ''Fibonacci'', was made up in 1838 by the Franco-Italian historian Guillaume Libri and is short for ('son of Bonacci'). However, even earlier in 1506 a notary of the Holy Roman Empire, Perizolo mentions Leonardo as "Lionardo Fibonacci". Fibonacci popularized the Indo–Arabic numeral system in the Western world primarily through his composition in 1202 of ''Liber Abaci'' (''Book of Calculation''). He also introduced Europe to the sequence of Fibonacci numbers, which he used as an example in ''Liber Abaci''. Biography Fibonacci was born around 1170 to Guglielmo, an Italian merchant and customs official. Guglielmo directed a trading post in Bugia (Béjaïa) in modern- ...
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Camposanto Di Pisa
The Campo Santo, also known as Camposanto Monumentale ("monumental cemetery") or Camposanto Vecchio ("old cemetery"), is a historical edifice at the northern edge of the Cathedral Square in Pisa, Italy. "Campo Santo" can be literally translated as "holy field", because it is said to have been built around a shipload of sacred soil from Golgotha, brought back to Pisa from the Third Crusade by Ubaldo Lanfranchi, archbishop of Pisa in the 12th century. A legend claims that bodies buried in that ground will rot in just 24 hours. The burial ground lies over the ruins of the old baptistery of the church of Santa Reparata, the church that once stood where the cathedral now stands. The term "monumental" serves to differentiate it from the later-established urban cemetery in Pisa. History The building was the fourth and last one to be raised in the Cathedral Square. It dates from a century after the bringing of the soil from Golgotha, and was erected over the earlier burial ground. The ...
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Howard Eves
Howard Whitley Eves (10 January 1911, New Jersey – 6 June 2004) was an American mathematician, known for his work in geometry and the history of mathematics. Eves received his B.S. from the University of Virginia, an M.A. from Harvard University, and a Ph.D. in mathematics from Oregon State University in 1948, the last with a dissertation titled ''A Class of Projective Space Curves'' written under Ingomar Hostetter. He then spent most of his career at the University of Maine, 1954–1976. In later life, he occasionally taught at University of Central Florida. Eves was a strong spokesman for the Mathematical Association of America, which he joined in 1942, and whose Northeast Section he founded. For 25 years he edited the Elementary Problems section of the ''American Mathematical Monthly''. He solved over 300 problems proposed in various mathematical journals. His six volume ''Mathematical Circles'' series, collecting humorous and interesting anecdotes about mathematicians, ...
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MS Word
Microsoft Word is a word processing software developed by Microsoft. It was first released on October 25, 1983, under the name ''Multi-Tool Word'' for Xenix systems. Subsequent versions were later written for several other platforms including: IBM PCs running DOS (1983), Apple Macintosh running the Classic Mac OS (1985), AT&T UNIX PC (1985), Atari ST (1988), OS/2 (1989), Microsoft Windows (1989), SCO Unix (1990) and macOS (2001). Using Wine, versions of Microsoft Word before 2013 can be run on Linux. Commercial versions of Word are licensed as a standalone product or as a component of Microsoft Office suite of software, which can be purchased either with a perpetual license or as part of a Microsoft 365 subscription. History Origins In 1981, Microsoft hired Charles Simonyi, the primary developer of Bravo, the first GUI word processor, which was developed at Xerox PARC. Simonyi started work on a word processor called ''Multi-Tool Word'' and soon hired Richard Brodie, ...
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John Of Palermo
John of Palermo () was a translator of mathematical works from Arabic to Latin who lived in Palermo, Sicily. He worked in the court of Emperor Frederick II. It is not known if he was an Arab or a Sicilian. John had been introduced into the court of Frederick II through the mathematician Domenico Ispano. John is mentioned by Leonardo Fibonacci in his ''Liber quadratorum'' (1225) and several problems from Arab texts by Omar Khayyam were posed to Fibonacci. Some court documents mention a Johannes de Panormo who is thought to be the same person. John translated an Arab manuscript, possibly by Ibn al-Haytham Ḥasan Ibn al-Haytham, Latinized as Alhazen (; full name ; ), was a medieval mathematician, astronomer, and physicist of the Islamic Golden Age from present-day Iraq.For the description of his main fields, see e.g. ("He is one of the prin ..., on the parabola into Latin as the ''De duabus lineis semper approximantibus sibi invicem et nunquam concurrentibus''. John as noted ...
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Frederick II, Holy Roman Emperor
Frederick II (German language, German: ''Friedrich''; Italian language, Italian: ''Federico''; Latin: ''Federicus''; 26 December 1194 – 13 December 1250) was King of Sicily from 1198, King of Germany from 1212, King of Italy and Holy Roman Emperor from 1220 and King of Jerusalem from 1225. He was the son of emperor Henry VI, Holy Roman Emperor, Henry VI of the House of Hohenstaufen, Hohenstaufen dynasty and Queen Constance, Queen of Sicily, Constance of Sicily of the Hauteville family, Hauteville dynasty. His political and cultural ambitions were enormous as he ruled a vast area, beginning with Sicily and stretching through Italy all the way north to Germany. As the Crusades progressed, he acquired control of Jerusalem and styled himself its king. However, the Papacy became his enemy, and it eventually prevailed. Viewing himself as a direct successor to the Roman emperors of antiquity, he was Holy Roman Emperor, Emperor of the Romans from his papal coronation in 1220 until hi ...
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Place-value System
Positional notation (or place-value notation, or positional numeral system) usually denotes the extension to any base of the Hindu–Arabic numeral system (or decimal system). More generally, a positional system is a numeral system in which the contribution of a digit to the value of a number is the value of the digit multiplied by a factor determined by the position of the digit. In early numeral systems, such as Roman numerals, a digit has only one value: I means one, X means ten and C a hundred (however, the value may be negated if placed before another digit). In modern positional systems, such as the decimal system, the position of the digit means that its value must be multiplied by some value: in 555, the three identical symbols represent five hundreds, five tens, and five units, respectively, due to their different positions in the digit string. The Babylonian numeral system, base 60, was the first positional system to be developed, and its influence is present today ...
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Roman Numerals
Roman numerals are a numeral system that originated in ancient Rome and remained the usual way of writing numbers throughout Europe well into the Late Middle Ages. Numbers are written with combinations of letters from the Latin alphabet, each letter with a fixed integer value, modern style uses only these seven: The use of Roman numerals continued long after the decline of the Roman Empire. From the 14th century on, Roman numerals began to be replaced by Arabic numerals; however, this process was gradual, and the use of Roman numerals persists in some applications to this day. One place they are often seen is on clock faces. For instance, on the clock of Big Ben (designed in 1852), the hours from 1 to 12 are written as: The notations and can be read as "one less than five" (4) and "one less than ten" (9), although there is a tradition favouring representation of "4" as "" on Roman numeral clocks. Other common uses include year numbers on monuments and buildings and ...
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Mediterranean
The Mediterranean Sea is a sea connected to the Atlantic Ocean, surrounded by the Mediterranean Basin and almost completely enclosed by land: on the north by Western and Southern Europe and Anatolia, on the south by North Africa, and on the east by the Levant. The Sea has played a central role in the history of Western civilization. Geological evidence indicates that around 5.9 million years ago, the Mediterranean was cut off from the Atlantic and was partly or completely desiccated over a period of some 600,000 years during the Messinian salinity crisis before being refilled by the Zanclean flood about 5.3 million years ago. The Mediterranean Sea covers an area of about , representing 0.7% of the global ocean surface, but its connection to the Atlantic via the Strait of Gibraltar—the narrow strait that connects the Atlantic Ocean to the Mediterranean Sea and separates the Iberian Peninsula in Europe from Morocco in Africa—is only wide. The Mediterranean Sea ...
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Hammadid Empire
The Hammadid dynasty () was a branch of the Sanhaja Berber dynasty that ruled an area roughly corresponding to north-eastern modern Algeria between 1008 and 1152. The state reached its peak under Nasir ibn Alnas during which it was briefly the most important state in Northwest Africa. Its realm was conquered by the Almohad Caliphate. The Hammadid dynasty's first capital was at Qalaat Beni Hammad. It was founded in 1007, and is now a UNESCO World Heritage Site. When the area was sacked by the Banu Hilal tribe, the Hammadids moved their capital to Béjaïa in 1090. History Establishment In 987 and 989, al-Mansur ibn Buluggin, the emir of the Berber Zirid dynasty, appointed his uncle Hammad ibn Buluggin as governor of Ashir and western Zirid lands. Hammad subsequently defended the territory against Zenata incursions and was granted additional lands by al-Mansur's successor Badis ibn Mansur. In 1007 and 1008, forces under Hammad left Ashir and built a new citadel-capital, Qalaat ...
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Béjaïa
Béjaïa (; ; ar, بجاية‎, Latn, ar, Bijāya, ; kab, Bgayet, Vgayet), formerly Bougie and Bugia, is a Mediterranean port city and commune on the Gulf of Béjaïa in Algeria; it is the capital of Béjaïa Province, Kabylia. Béjaïa is the largest principally Kabyle-speaking city in the region of Kabylia, Algeria. Geography The town is overlooked by the mountain ', whose profile is said to resemble a sleeping woman. Other nearby scenic spots include the ''Aiguades'' beach and the '' Pic des Singes'' (Peak of the Monkeys); the latter site is a habitat for the endangered Barbary macaque, which prehistorically had a much broader distribution than at present. All three of these geographic features are located in the Gouraya National Park. The Soummam river runs past the town. Under French rule, it was known under various European names, such as Budschaja in German, Bugia in Italian, and Bougie in French. The French and Italian versions, due to the town's wax trade, ...
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Encyclopædia Britannica
The (Latin for "British Encyclopædia") is a general knowledge English-language encyclopaedia. It is published by Encyclopædia Britannica, Inc.; the company has existed since the 18th century, although it has changed ownership various times through the centuries. The encyclopaedia is maintained by about 100 full-time editors and more than 4,000 contributors. The 2010 version of the 15th edition, which spans 32 volumes and 32,640 pages, was the last printed edition. Since 2016, it has been published exclusively as an online encyclopaedia. Printed for 244 years, the ''Britannica'' was the longest running in-print encyclopaedia in the English language. It was first published between 1768 and 1771 in the Scottish capital of Edinburgh, as three volumes. The encyclopaedia grew in size: the second edition was 10 volumes, and by its fourth edition (1801–1810) it had expanded to 20 volumes. Its rising stature as a scholarly work helped recruit eminent con ...
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Random House
Random House is an American book publisher and the largest general-interest paperback publisher in the world. The company has several independently managed subsidiaries around the world. It is part of Penguin Random House, which is owned by German media conglomerate Bertelsmann. History Random House was founded in 1927 by Bennett Cerf and Donald Klopfer, two years after they acquired the Modern Library imprint from publisher Horace Liveright, which reprints classic works of literature. Cerf is quoted as saying, "We just said we were going to publish a few books on the side at random," which suggested the name Random House. In 1934 they published the first authorized edition of James Joyce's novel ''Ulysses'' in the Anglophone world. ''Ulysses'' transformed Random House into a formidable publisher over the next two decades. In 1936, it absorbed the firm of Smith and Haas—Robert Haas became the third partner until retiring and selling his share back to Cerf and Klopfer in 19 ...
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