William Rutherford (mathematician)
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William Rutherford (mathematician)
William Rutherford (1798–1871) was an English mathematician famous for his calculation of 208 digits of the mathematical constant π in 1841. Only the first 152 calculated digits were later found to be correct; but that broke the record of the time, which was held by the Slovenian mathematician Jurij Vega since 1789 (126 first digits correct). Rutherford used the following formula:''Squaring the Circle''
- Department of Mathematical Sciences : = 4 \arctan \left(\right) - \arctan \left(\right) + \arctan \left(\right)


Life

Rutherford was born about 1798. He was a master at a school at Wood ...
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English People
The English people are an ethnic group and nation native to England, who speak the English language in England, English language, a West Germanic languages, West Germanic language, and share a common history and culture. The English identity is of History of Anglo-Saxon England, Anglo-Saxon origin, when they were known in Old English as the ('race or tribe of the Angles'). Their ethnonym is derived from the Angles, one of the Germanic peoples who migrated to Great Britain around the 5th century AD. The English largely descend from two main historical population groups the West Germanic tribes (the Angles, Saxons, Jutes and Frisians) who settled in southern Britain following the withdrawal of the Ancient Rome, Romans, and the Romano-British culture, partially Romanised Celtic Britons already living there.Martiniano, R., Caffell, A., Holst, M. et al. Genomic signals of migration and continuity in Britain before the Anglo-Saxons. Nat Commun 7, 10326 (2016). https://doi.org/10 ...
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1798 Births
Events January–June * January – Eli Whitney contracts with the U.S. federal government for 10,000 muskets, which he produces with interchangeable parts. * January 4 – Constantine Hangerli enters Bucharest, as Prince of Wallachia. * January 22 – A coup d'état is staged in the Netherlands ( Batavian Republic). Unitarian Democrat Pieter Vreede ends the power of the parliament (with a conservative-moderate majority). * February 10 – The Pope is taken captive, and the Papacy is removed from power, by French General Louis-Alexandre Berthier. * February 15 – U.S. Representative Roger Griswold (Fed-CT) beats Congressman Matthew Lyon (Dem-Rep-VT) with a cane after the House declines to censure Lyon earlier spitting in Griswold's face; the House declines to discipline either man.''Harper's Encyclopaedia of United States History from 458 A. D. to 1909'', ed. by Benson John Lossing and, Woodrow Wilson (Harper & Brothers, 1910) p171 * March &ndas ...
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Yasumasa Kanada
was a Japanese computer scientist most known for his numerous world records over the past three decades for calculating digits of . He set the record 11 of the past 21 times. Kanada was a professor in the Department of Information Science at the University of Tokyo in Tokyo, Japan Japan ( ja, 日本, or , and formally , ''Nihonkoku'') is an island country in East Asia. It is situated in the northwest Pacific Ocean, and is bordered on the west by the Sea of Japan, while extending from the Sea of Okhotsk in the north ... until 2015. From 2002 until 2009, Kanada held the world record calculating the number of digits in the decimal expansion of pi – exactly 1.2411 trillion digits. The calculation took more than 600 hours on 64 nodes of a HITACHI SR8000/MPP supercomputer. Some of his competitors in recent years include Jonathan Borwein, Jonathan and Peter Borwein and the Chudnovsky brothers. See also * Chronology of computation of π, Chronology of computation of ...
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Napoleon's Theorem
In geometry, Napoleon's theorem states that if equilateral triangles are constructed on the sides of any triangle, either all outward or all inward, the lines connecting the centres of those equilateral triangles themselves form an equilateral triangle. The triangle thus formed is called the inner or outer ''Napoleon triangle''. The difference in the areas of the outer and inner Napoleon triangles equals the area of the original triangle. The theorem is often attributed to Napoleon Bonaparte (1769–1821). Some have suggested that it may date back to W. Rutherford's 1825 question published in ''The Ladies' Diary'', four years after the French emperor's death, but the result is covered in three questions set in an examination for a Gold Medal at the University of Dublin in October, 1820, whereas Napoleon died the following May. Proofs In the figure above, ABC is the original triangle. AZB, BXC, and CYA are equilateral triangles constructed on its sides' exteriors, and points L, ...
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History Of Numerical Approximations Of π
History (derived ) is the systematic study and the documentation of the human activity. The time period of event before the invention of writing systems is considered prehistory. "History" is an umbrella term comprising past events as well as the memory, discovery, collection, organization, presentation, and interpretation of these events. Historians seek knowledge of the past using historical sources such as written documents, oral accounts, art and material artifacts, and ecological markers. History is not complete and still has debatable mysteries. History is also an academic discipline which uses narrative to describe, examine, question, and analyze past events, and investigate their patterns of cause and effect. Historians often debate which narrative best explains an event, as well as the significance of different causes and effects. Historians also debate the nature of history as an end in itself, as well as its usefulness to give perspective on the problems of the p ...
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History Of π
The number (; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number appears in many formulas across mathematics and physics. It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as \tfrac are commonly used to approximate it. Consequently, its decimal representation never ends, nor enters a permanently repeating pattern. It is a transcendental number, meaning that it cannot be a solution of an equation involving only sums, products, powers, and integers. The transcendence of implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge. The decimal digits of appear to be randomly distributed, but no proof of this conjecture has been found. For thousands of years, mathematicians have attempted to extend their understanding of , sometimes by computing ...
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