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Fibonacci Heap Extractmin2
Leonardo Bonacci ( – ), commonly known as Fibonacci, was an Italians, 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'', is first found in a modern source in a 1838 text by the Franco-Italian mathematician Guglielmo Libri Carucci dalla Sommaja, Guglielmo Libri and is short for ('son of Bonacci'). However, even as early as 1506, Perizolo, a notary of the Holy Roman Empire, mentions him as "Lionardo Fibonacci". Fibonacci popularized the Hindu–Arabic numeral system, Indo–Arabic numeral system in the Western world primarily through his composition in 1202 of (''Book of Calculation'') and also introduced Europe to the sequence of Fibonacci numbers, which he used as an example in . Biography Fibonacci was born around 1170 to Guglielmo, an Italian merchant and customs official who directed a trading post in Béjaïa, Bugia, modern-day Béjaïa, Algeria ...
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Camposanto Monumentale
The Camposanto Monumentale ("Monumental Cemetery"), also Camposanto Vecchio ("Old Cemetery") or simply Campo Santo, 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 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 Santa Reparata, the church that once stood where the cathedral now stands. 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 construction of this huge, oblong Gothic cloister was begun in 1278 by the architect Giovanni di Simone. He died in 1 ...
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Howard Eves
Howard Whitley Eves (10 January 1911, 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, was recently re ...
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MS Word
Microsoft Word is a word processor program, word processing program 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), Handheld PC (1996), Pocket PC (2000), macOS (2001), Web browsers (2010), iOS (2014), and Android (operating system), Android (2015). Microsoft Word has been the ''de facto'' standard word processing software since the 1990s when it eclipsed WordPerfect. Commercial versions of Word are licensed as a standalone product or as a component of Microsoft Office, which can be purchased with a perpetual license, as part of the Microsoft 365 suite as a Software as a service, subscription, or as a one-time purchase with Office 2024. History In 1981, Microsoft ...
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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. 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 Ghiyāth al-Dīn Abū al-Fatḥ ʿUmar ibn Ibrāhīm Nīshābūrī (18 May 1048 – 4 December 1131) (Persian language, Persian: غیاث الدین ابوالفتح عمر بن ابراهیم خیام نیشابورﻯ), commonly known as Omar ... 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, on the parabola into Latin as the ''De duabus lineis semper approximantibus sibi invicem et nunquam concurrentibus''. John as noted as a "notarius" and there are indications that ...
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Frederick II, Holy Roman Emperor
Frederick II (, , , ; 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 Hohenstaufen dynasty (the second son of Emperor Frederick Barbarossa) and Queen Constance I of Sicily of the Hauteville dynasty. Frederick was one of the most powerful figures of the Middle Ages and ruled a vast area, beginning with Sicily and stretching through Italy all the way north to Germany. 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 his death; he was also a claimant to the title of King of the Romans from 1212 and unopposed holder of that monarchy from 1215. As such, he was King of Germany, King of Italy, of Italy, and King of Burgundy, of Burgundy. At the age of three, he was crowned King ...
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Place-value System
Positional notation, also known as place-value notation, positional numeral system, or simply place value, 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 values may be modified when combined). 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 ...
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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 with a fixed integer value. The modern style uses only these seven: The use of Roman numerals continued long after the Fall of the Western Roman Empire, 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 persisted in various places, including on clock face, 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 the representation of "4" as "" on Roman numeral clocks. Other common uses include year numbers on monuments and buildin ...
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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 east by the Levant in West Asia, on the north by Anatolia in West Asia and Southern Europe, on the south by North Africa, and on the west almost by the Morocco–Spain border. 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. 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 sea was an important rout ...
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Béjaïa
Béjaïa ( ; , , ), formerly known as Bougie and Bugia, is a Mediterranean seaport, port city and communes of Algeria, commune on the Gulf of Béjaïa in Algeria; it is the capital of Béjaïa Province. Geography Location Béjaïa owes its existence to its port, which also makes it prosperous. It is located in a sickle-shaped bay protected from the swell of offshore winds (northwest facing) by the advance of Cape Carbon (to the west of the city). The city is backed by :fr:Yemma Gouraya, Mount Gouraya located in a northwest position. This port site, in one of the most beautiful bays of the Maghreb and Mediterranean coast, is dominated in the background by the Babor Mountains, Babors mountain range. Another advantage is that the city is the outlet of the Soummam River, Soummam valley, a geographical corridor facing southwest. However, since the time when the city was a capital, there has been a divorce between the city and the region (Kabylia) linked to the difficulty of secur ...
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Encyclopædia Britannica
The is a general knowledge, general-knowledge English-language encyclopaedia. It has been published by Encyclopædia Britannica, Inc. since 1768, although the company has changed ownership seven times. 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 encyclopedia, 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 Edinburgh, Scotland, in 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 contributors, and the 9th (1875–1889) and Encyclopædia Britannica Eleventh Edition, 11th editions (1911) are landmark encyclopaedias for scholarship and literary ...
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Holy Roman Empire
The Holy Roman Empire, also known as the Holy Roman Empire of the German Nation after 1512, was a polity in Central and Western Europe, usually headed by the Holy Roman Emperor. It developed in the Early Middle Ages, and lasted for a millennium until its Dissolution of the Holy Roman Empire, dissolution in 1806 during the Napoleonic Wars. For most of its history the Empire comprised the entirety of the modern countries of Germany, Czechia, Austria, the Netherlands, Belgium, Switzerland, Slovenia, and Luxembourg, most of north-central Italy, and large parts of modern-day east France and west Poland. On 25 December 800, Pope Leo III crowned the Frankish king Charlemagne Roman emperor, reviving the title more than three centuries after the fall of the Western Roman Empire in 476. The title lapsed in 924, but was revived in 962 when Otto I, OttoI was crowned emperor by Pope John XII, as Charlemagne's and the Carolingian Empire's successor. From 962 until the 12th century, the empire ...
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Random House
Random House is an imprint and publishing group of Penguin Random House. Founded in 1927 by businessmen Bennett Cerf and Donald Klopfer as an imprint of Modern Library, it quickly overtook Modern Library as the parent imprint. Over the following decades, a series of acquisitions made it into one of the largest publishers in the United States. In 2013, it was merged with Penguin Group to form Penguin Random House, which is owned by the Germany-based media conglomerate Bertelsmann. Penguin Random House uses its brand for Random House Publishing Group and Random House Children's Books, as well as several imprints. Company history 20th century 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 ...
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