Jens Høyrup
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Jens Høyrup
Jens Egede Høyrup, born 1943 in Copenhagen, is a Danish historian of mathematics, specializing in pre-modern and early modern mathematics, ancient Mesopotamian mathematics in particular. He is especially known for his interpretation of what has often been referred to as Old Babylonian "algebra" as consisting of concrete, geometric manipulations. Career Høyrup studied physics and mathematics at the University of Copenhagen, Niels Bohr Institute from 1962 to 1969 (also, in 1965/66, at the Institut Henri Poincaré in Paris), with a focus on theoretical physics. In 1969 he completed his studies (as Danish ''cand. Scient.'') with a thesis on theoretical elementary particle physics and was assistant lecturer (Danish ''adjunkt'') in physics at the Danish Academy for Engineering from 1971 to 1973. Starting in 1973 he was senior lecturer (Danish ''lektor'') and in 1989 reader (Danish ''docent'') for the history and philosophy of science at Roskilde University, most recently in the Secti ...
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Denmark
) , song = ( en, "King Christian stood by the lofty mast") , song_type = National and royal anthem , image_map = EU-Denmark.svg , map_caption = , subdivision_type = Sovereign state , subdivision_name = Danish Realm, Kingdom of Denmark , established_title = History of Denmark#Middle ages, Consolidation , established_date = 8th century , established_title2 = Christianization , established_date2 = 965 , established_title3 = , established_date3 = 5 June 1849 , established_title4 = Faroese home rule , established_date4 = 24 March 1948 , established_title5 = European Economic Community, EEC 1973 enlargement of the European Communities, accession , established_date5 = 1 January 1973 , established_title6 = Greenlandic home rule , established_date6 = 1 May 1979 , official_languages = Danish language, Danish , languages_type = Regional languages , languages_sub = yes , languages = German language, GermanGerman is recognised as a protected minority language in t ...
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Chinese Academy Of Sciences
The Chinese Academy of Sciences (CAS); ), known by Academia Sinica in English until the 1980s, is the national academy of the People's Republic of China for natural sciences. It has historical origins in the Academia Sinica during the Republican era and was formerly also known by that name. Collectively known as the "Two Academies (两院)" along with the Chinese Academy of Engineering, it functions as the national scientific think tank and academic governing body, providing advisory and appraisal services on issues stemming from the national economy, social development, and science and technology progress. It is headquartered in Xicheng District, Beijing, with branch institutes all over mainland China. It has also created hundreds of commercial enterprises, Lenovo being one of the most famous. CAS is the world's largest research organization. It had 60,000 researchers in 2018 and 114 institutes in 2016, and has been consistently ranked among the top research organizations ...
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21st-century Danish Historians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman em ...
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1943 Births
Events Below, the events of World War II have the "WWII" prefix. January * January 1 – WWII: The Soviet Union announces that 22 German divisions have been encircled at Stalingrad, with 175,000 killed and 137,650 captured. * January 4 – WWII: Greek-Polish athlete and saboteur Jerzy Iwanow-Szajnowicz is executed by the Germans at Kaisariani. * January 11 ** The United States and United Kingdom revise previously unequal treaty relationships with the Republic of China (1912–1949), Republic of China. ** Italian-American anarchist Carlo Tresca is assassinated in New York City. * January 13 – Anti-Nazi protests in Sofia result in 200 arrests and 36 executions. * January 14 – January 24, 24 – WWII: Casablanca Conference: Franklin D. Roosevelt, President of the United States; Winston Churchill, Prime Minister of the United Kingdom; and Generals Charles de Gaulle and Henri Giraud of the Free French forces meet secretly at the Anfa Hotel in Casablanca, Morocco, to plan the ...
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Completing The Square
: In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form :ax^2 + bx + c to the form :a(x-h)^2 + k for some values of ''h'' and ''k''. In other words, completing the square places a perfect square trinomial inside of a quadratic expression. Completing the square is used in * solving quadratic equations, * deriving the quadratic formula, * graphing quadratic functions, * evaluating integrals in calculus, such as Gaussian integrals with a linear term in the exponent, * finding Laplace transforms. In mathematics, completing the square is often applied in any computation involving quadratic polynomials. History Completing the square was known in the Old Babylonian Empire. Muhammad ibn Musa Al-Khwarizmi, a famed polymath who wrote the early algebraic treatise Al-Jabr, used the technique of completing the square to solve quadratic equations. Overview Background The formula in elementary algebra for computing the square ...
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Fibonacci
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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Babylonian Mathematics
Babylonian mathematics (also known as ''Assyro-Babylonian mathematics'') are the mathematics developed or practiced by the people of Mesopotamia, from the days of the early Sumerians to the centuries following the fall of Babylon in 539 BC. Babylonian mathematical texts are plentiful and well edited. With respect to time they fall in two distinct groups: one from the Old Babylonian period (1830–1531 BC), the other mainly Seleucid from the last three or four centuries BC. With respect to content, there is scarcely any difference between the two groups of texts. Babylonian mathematics remained constant, in character and content, for nearly two millennia. In contrast to the scarcity of sources in Egyptian mathematics, knowledge of Babylonian mathematics is derived from some 400 clay tablets unearthed since the 1850s. Written in Cuneiform script, tablets were inscribed while the clay was moist, and baked hard in an oven or by the heat of the sun. The majority of recovered clay tab ...
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International Commission On The History Of Mathematics
The International Commission on the History of Mathematics was established in 1971 to promote the study of history of mathematics. Kenneth O. May provided its initial impetus. In 1974, its official journal Historia Mathematica began publishing. Every four years the Commission bestows the Kenneth O. May Medal upon a deserving historian of mathematics. In 1981, in Bucharest, the first in a series of symposia was held in conjunction with the International Congress of History of Science. In 1985, the ICHM became an inter-union commission of both the International Mathematical Union and the International Union of History and Philosophy of Science. In 1989 the first Kenneth O. May prize was awarded to Dirk Struik and Adolf P. Yushkevich. Joseph Dauben became chair of the executive committee of the ICHM in 1985 and proceeded to assemble the global contributions from 40 historians for the 2002 publication ''Writing the History of Mathematics: Its Historical Development'', published by Bi ...
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Max Planck Institute For The History Of Science
The Max Planck Institute for the History of Science (German: Max-Planck-Institut für Wissenschaftsgeschichte) is a scientific research institute founded in March 1994. It is dedicated to addressing fundamental questions of the history of knowledge from the Neolithic era to the present day, and its researchers pursue a historical epistemology in their study of how new categories of thought, proof, and experience have emerged in interactions between the sciences and their ambient cultures. Organization The MPIWG comprises three departments and several independent research groups. The departments are: * "Structural Changes in Systems of Knowledge," directed by Jürgen Renn * "Knowledge Systems and Collective Life," directed bEtienne Benson* "Artifacts, Action, Knowledge," directed by Dagmar Schäfer Hans-Jörg Rheinberger, who headed Department III from 1995 to 2014, and Lorraine Daston, who headed Department II from 1995 to 2019, remain at the MPIWG as emerita. The Research Gro ...
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Ghent University
Ghent University ( nl, Universiteit Gent, abbreviated as UGent) is a public research university located in Ghent, Belgium. Established before the state of Belgium itself, the university was founded by the Dutch King William I in 1817, when the region was incorporated into the United Kingdom of the Netherlands after the fall of First French Empire. In that same year, he founded two other universities for the southern provinces as well, alongside Ghent University: University of Liège and State University of Leuven. After the Belgian revolution of 1830, the newly formed Belgian state began to administer Ghent University. In 1930, UGent became the first Dutch-speaking university in Belgium. Previously, French (and, even earlier, Latin) had been the standard academic language in what was ''Université de Gand''. In 1991, it was granted major autonomy and changed its name accordingly from ''State University of Ghent'' ( nl, Rijksuniversiteit Gent, abbreviated as ''RUG'') to its c ...
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History Of Mathematics
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars. The earliest mathematical texts available are from Mesopotamia and Egypt – '' Plimpton 322'' ( Babylonian c. 2000 – 1900 BC), the ''Rhind Mathematical Papyrus'' ( Egyptian c. 1800 BC) and the '' Moscow Mathematical Papyrus'' (Egyptian c. 1890 BC). All of these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most anci ...
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