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De Analysi Per Aequationes Numero Terminorum Infinitas
''De analysi per aequationes numero terminorum infinitas'' (or ''On analysis by infinite series'', ''On Analysis by Equations with an infinite number of terms'', or ''On the Analysis by means of equations of an infinite number of terms'') is a mathematical work by Isaac Newton. Creation Composed in 1669,Carl B. Boyer, Uta C. Merzbach during the mid-part of that year probably, from ideas Newton had acquired during the period 1665–1666. Newton wrote The explication was written to remedy apparent weaknesses in the ''logarithmic series'' nfinite series for \log(1 + x), that had become republished due to Nicolaus Mercator,Britannica Educational or through the encouragement of Isaac Barrow in 1669, to ascertain the knowing of the prior authorship of a general method of ''infinite series''. The writing was circulated amongst scholars as a manuscript in 1669, including John Collins a mathematics '' intelligencer'' for a group of British and continental mathematicians. His rel ...
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Mathematical Association Of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary education and research which awards academic degrees in several Discipline (academia), academic disciplines. ''University'' is derived from the Latin phrase , which roughly ..., college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry. The MAA was founded in 1915 and is headquartered at 11 Dupont in the Dupont Circle, Washington, D.C., Dupont Circle neighborhood of Washington, D.C. The organization publishes mathematics journals and books, including the ''American Mathematical Monthly'' (established in 1894 by Benjamin Finkel), the most widely read mathematics journal in the world according to re ...
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Mexican International Conference On Artificial Intelligence
The Mexican International Conference on Artificial Intelligence (MICAI) is the name of an annual conference covering all areas of Artificial Intelligence (AI), held in Mexico. The first MICAI conference was held in 2000. The conference is attended every year by about two hundred of AI researchers and PhD students and 500−1000 local graduate students. Overview MICAI is a high-level peer-reviewed international conference covering all areas of Artificial Intelligence. All editions of MICAI have been published in Springer Springer LNAI (N 1793, 2313, 2972, 3789, 4293, 4827, 5317, 5845, 6437–6438). Recent MICAI events (2006, 2007, 2008, 2009, and 2010) received over 300 submissions from over 40 countries each. The conference's scientific program includes keynote lectures, paper presentations, tutorials, panels, posters, and workshops. MICAI is organized by the Mexican Society for Artificial Intelligence (SMIA) in cooperation with various national institutions. Their topics of ...
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Texts In Latin
Text may refer to: Written word * Text (literary theory), any object that can be read, including: **Religious text, a writing that a religious tradition considers to be sacred **Text, a verse or passage from scripture used in expository preaching **Textbook, a book of instruction in any branch of study Computing and telecommunications *Plain text, unformatted text *Text file, a type of computer file opened by most text software *Text string, a sequence of characters manipulated by software *Text message, a short electronic message designed for communication between mobile phone users * Text (Chrome app), a text editor for the Google Chrome web browser *tEXt, an ancillary chunk in the PNG image file format *Text, the former name of Apple's Messages instant messenger *Text (company), an AI and customer service software company Arts and media *TEXT, a Swedish band *'' Text & Talk'' (formerly ''Text''), an academic journal *"Text", a 2010 song produced by J.R. Rotem, featuring Ma ...
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Newton's Method
In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function. The most basic version starts with a real-valued function , its derivative , and an initial guess for a root of . If satisfies certain assumptions and the initial guess is close, then x_ = x_0 - \frac is a better approximation of the root than . Geometrically, is the x-intercept of the tangent of the graph of at : that is, the improved guess, , is the unique root of the linear approximation of at the initial guess, . The process is repeated as x_ = x_n - \frac until a sufficiently precise value is reached. The number of correct digits roughly doubles with each step. This algorithm is first in the class of Householder's methods, and was succeeded by Halley's method. The method can also be extended t ...
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Washington & Jefferson College
Washington & Jefferson College (W&J College or W&J) is a Private college, private Liberal arts colleges in the United States, liberal arts college in Washington, Pennsylvania, United States. The college traces its origin to three Presbyterian missionaries in the 1780s: John McMillan (missionary), John McMillan, Thaddeus Dod, and Joseph Smith (Presbyterian minister, born 1736), Joseph Smith. Early schools grew into two competing academies, with Jefferson College in Canonsburg, Pennsylvania, and Washington College in Washington. The two colleges merged in 1865 to form Washington & Jefferson College. The campus has more than 40 buildings, with the oldest dating to 1793. The college has a strong history of competing literary societies, dating back before the union of Jefferson and Washington Colleges. The athletic program competes in NCAA Division III. Nearly all students live on campus and roughly one-third are members of fraternities or sororities. History Early history and the ...
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Exponential Formula
In combinatorial mathematics, the exponential formula (called the polymer expansion in physics) states that the exponential generating function for structures on finite sets is the exponential of the exponential generating function for connected structures. The exponential formula is a power series version of a special case of Faà di Bruno's formula. Algebraic statement Here is a purely algebraic statement, as a first introduction to the combinatorial use of the formula. For any formal power series of the form f(x)=a_1 x+x^2+x^3+\cdots+x^n+\cdots\, we have \exp f(x)=e^=\sum_^\infty x^n,\, where b_n = \sum_ a_\cdots a_, and the index \pi runs through all partitions \ of the set \. (When k = 0, the product is empty and by definition equals 1.) Formula in other expressions One can write the formula in the following form: b_n = B_n(a_1,a_2,\dots,a_n), and thus \exp\left(\sum_^\infty x^n \right) = \sum_^\infty x^n, where B_n(a_1,\ldots,a_n) is the nth complete Bell polynomial. Alt ...
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Ghent University
Ghent University (, abbreviated as UGent) is a Public university, public research university located in Ghent, in the East Flanders province of Belgium. Located in Flanders, Ghent University is the second largest Belgian university, consisting of 50,000 students and 9,000 staff members. The university also supports the Ghent University Library (including the famous Boekentoren) and the Ghent University Hospital, which is one of the biggest hospitals in Belgium. In addition to satellite campuses elsewhere in Flanders and a Global Campus in Songdo International Business District, Songdo, South Korea, Ghent University maintains many inter-university partnerships and programs both inside and outside of Europe. Established before the state of Belgium itself, the university was founded by the Dutch people, Dutch William I of the Netherlands, 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 ...
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Opuscula Mathematica, Philosophica Et Philologica
Opus (: opera) is a Latin word meaning "(a result of) work". Italian equivalents are ''opera'' (singular) and ''opere'' (plural). Opus or OPUS may refer to: Arts and entertainment Music * Opus number, (abbr. Op.) specifying order of (usually) publication, and hence applied to collections as well as individual compositions * Opus Records, a Slovak record label Bands * Opus (Austrian band), an Austrian pop-rock group * Opus (Yugoslav band), a Yugoslav progressive rock group *, Latvian music group * Pur (band), a German pop group originally known as "Opus" Albums * ''Opus'' (Opus album), 1987 album by Austrian band Opus * ''Opus'' (Schiller album), 2013 album by German music project Schiller * ''Opus'', a 2014 album by Jane Badler * ''Opus'' (Eric Prydz album), 2016 album by the electronic artist Eric Prydz ** "Opus" (Eric Prydz song), song from the eponymous album. * ''Opus'', a 2007 compilation album by Mr. Sam * ''Opus 1'' (album), 1975 album by the Yugoslav band Opus ...
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André Weil
André Weil (; ; 6 May 1906 – 6 August 1998) was a French mathematician, known for his foundational work in number theory and algebraic geometry. He was one of the most influential mathematicians of the twentieth century. His influence is due both to his original contributions to a remarkably broad spectrum of mathematical theories, and to the mark he left on mathematical practice and style, through some of his own works as well as through the Bourbaki group, of which he was one of the principal founders. Life André Weil was born in Paris to agnostic Alsatian Jewish parents who fled the annexation of Alsace-Lorraine by the German Empire after the Franco-Prussian War in 1870–71. Simone Weil, who would later become a famous philosopher, was Weil's younger sister and only sibling. He studied in Paris, Rome and Göttingen and received his doctorate in 1928. While in Germany, Weil befriended Carl Ludwig Siegel. Starting in 1930, he spent two academic years at Aligarh Mu ...
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Henri Cartan
Henri Paul Cartan (; 8 July 1904 – 13 August 2008) was a French mathematician who made substantial contributions to algebraic topology. He was the son of the mathematician Élie Cartan, nephew of mathematician Anna Cartan, oldest brother of composer , physicist and mathematician , and the son-in-law of physicist Pierre Weiss. Life According to his own words, Henri Cartan was interested in mathematics at a very young age, without being influenced by his family. He moved to Paris with his family after his father's appointment at Sorbonne in 1909 and he attended secondary school at Lycée Hoche in Versailles. available also at In 1923 he started studying mathematics at École Normale Supérieure, receiving an agrégation in 1926 and a doctorate in 1928. His PhD thesis, entitled ''Sur les systèmes de fonctions holomorphes à variétés linéaires lacunaires et leurs applications'', was supervised by Paul Montel. Cartan taught at Lycée Malherbe in Caen from 1928 to 1929, ...
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University Of Bergamo
The University of Bergamo (; acronym: UniBG) is an Italian public university located in Bergamo, Italy. It was founded on 11 December 1968 and is organized in seven departments, three campuses and forty-one degree courses. History The University of Bergamo, founded in 1968, was originally named "Institute of Foreign Languages and Literature". Under Rector Serio Galeotti (1972–75), the degree course in economics and business was introduced (1974), finally becoming a Faculty in 1988. During the rectorship of Giorgio Szëgo, characterized by the new Faculty of Economics, the university continued to expand, but it was the Rector Pietro Enrico Ferri in 1990 who opened the Faculty of Engineering in Dalmine and accompanied the transfer of the private institute to the State under the new name "University of the studies of Bergamo". Over the years the university has played an important role in restoring some of the historic buildings in the Upper City of Bergamo: the Faculty of Foreig ...
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Nicholls State University
Nicholls State University is a public university in Thibodaux, Louisiana. Founded in 1948, Nicholls is part of the University of Louisiana System. Originally named Francis T. Nicholls Junior College, the university is named for Francis T. Nicholls, a former governor of Louisiana, member of the Louisiana Supreme Court, and general in the Confederate army during the American Civil War. The campus, once part of Acadia Plantation, fronts on Bayou Lafourche, about southwest of New Orleans and southeast of Baton Rouge. Its oldest structure, Elkins Hall, was completed in 1948 and is on the National Register of Historic Places. Nicholls is located in the Acadiana region. It is also within the geographical bounds of the Mississippi River Delta, and close to the Mississippi River, its distributaries, Wetlands of Louisiana, Louisiana's wetlands, and the Gulf of Mexico. History Nicholls State opened on Sept. 23, 1948, as Francis T. Nicholls Junior College of Louisiana State University ...
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