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Fibonacci

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Leonardo Bonacci, also Leonardo da Pisa (c. 1170 – c. 1240-50), commonly known as Fibonacci, was an Italianmathematician 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 and is short for filius Bonacci ('son of Bonacci').

Hindu–Arabic numeral systemHindu–Arabic numeral systemMost common system for writing numbers Modern-day Arab telephone keypad with two forms of Arabic numerals: Western Arabic numerals on the left and Eastern Arabic numerals on the right The Hindu–Arabic numeral system (also known as the Indo-Arabic numeral system, Hindu numeral system, and Arabic numeral system) is a base ten (decimal) positional numeral system. It is presently the most common decimal system.Roman numeralsRoman numeralsNumbers in the Roman numeral systemRoman numerals on stern of the ship Cutty Sark showing draught in feet. The numbers range from 13 to 22, from bottom to top.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.Liber AbaciLiber AbaciThe Liber Abaci or Liber Abbaci (Latin for "The Book of Calculation") was a 1202 Latin work on arithmetic by Leonardo of Pisa, posthumously known as Fibonacci. It is primarily famous for introducing both base-10 positional notation and the symbols known as Arabic numerals in Europe.Fibonacci sequenceFibonacci sequenceNumbers obtained by adding the two previous onesIn mathematics, the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The initial elements of the sequence are F1 = 1 and F2 = 1, though many authors also include a zeroth elementF0 = 0. Starting from F0, the sequence begins 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...Frederick II, Holy Roman EmperorFrederick II, Holy Roman EmperorHoly Roman Emperor from 1220 to 1250HouseHohenstaufenFatherHenry VI, Holy Roman EmperorMotherConstance I of SicilyFrederick II (Italian: Federico, Sicilian: Fidiricu, German: Friedrich, Latin: Fridericus; 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 to 1228.BéjaïaBéjaïaCity and commune in Béjaïa Province, AlgeriaBéjaïa Vgayet, ⴱⴳⴰⵢⴻⵜ (Kabyle)بجاية (Arabic)City and communeBrise de MerPic des SingesCap CarbonCasbah of BéjaïaBab El FoukaBordj MoussaGouraya National ParkLocation of Béjaïa within Béjaïa ProvinceBéjaïaLocation in AlgeriaCoordinates: 36°45′04″N 05°03′51″E / 36.75111°N 5.06417°E / 36.75111; 5.06417Country AlgeriaProvinceBéjaïa ProvinceDistrictBéjaïa DistrictArea • Total120.22 km2 (46.42 sq mi)Population (2008 census) • Total177,988 • Density1,480.5/km2 (3,834.5/sq mi)Time zoneUTC+1 (CET)Postal code06000ClimateCsa Béjaïa (/bɪˈdʒaɪə/) is a Mediterranean port city and commune on the Gulf of Béjaïa in Algeria; it is the capital of Béjaïa Province.MathematicianMathematicianA mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. HistoryOne of the earliest known mathematicians was Thales of Miletus (c. 624 – c. 546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed.Holy Roman EmpireHoly Roman EmpireToday part ofFranceBelgiumNetherlandsGermanyItalyLuxembourgSwitzerlandLiechtensteinAustriaCzech RepublicSloveniaPolandThe Holy Roman Empire, also known as the Holy Roman Empire of the German Nation after 1512, was a polity comprising and controlling much of Central Europe and Western Europe, headed by the Holy Roman Emperor and characterized by a decentralized political structure.Republic of PisaRepublic of PisaThe Republic of Pisa (Italian: Repubblica di Pisa) was an independent state existing from the 11th to the 15th century, centered on the Tuscan city of Pisa. It rose to become an economic powerhouse, a commercial center whose merchants dominated and Italian trade for a century, before being surpassed and superseded by the Republic of Genoa.Guglielmo Libri Carucci dalla SommajaGuglielmo Libri Carucci dalla SommajaGuglielmo Libri Carucci dalla Sommaja (1 January 1803 – 28 September 1869) was an Italian count and mathematician, who became known for his love and subsequent theft of ancient and precious manuscripts. After being appointed the Inspector of Libraries in France, Libri began stealing the books he was responsible for. He fled to England when the theft was discovered, along with 30,000 books and manuscripts inside 18 trunks.ItaliansItaliansItalians (Italian: italiani, pronounced [itaˈljaːni]) are an ethnic group and nation native to the Italian geographical region. Italians share a common culture, history, ancestry and language. Their ancestors, differing regionally, include the various Italic peoples, notably among them the ancient Romans, who helped create and evolve the Italian identity. The Latin equivalent of the term Italian had been in use for natives of the geographical region since antiquity.Middle AgesMiddle AgesIn the history of Europe, the Middle Ages or medieval period lasted approximately from the 5th to late 15th centuries, comparable with the post-classical period of global history. The medieval period is the middle epoch of the three traditional divisions of Western history: classical antiquity, the medieval period, and the modern period. The medieval period is itself subdivided into the Early, High, and Late Middle Ages.

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