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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 relat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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, 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 1529 18th Street, Northwest in the 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 records on JSTOR. Mission and Vision The mission of the MAA is to advance the understanding of mathematics and its impact on our world. We envision a society that values the power and beauty of mathematics and fully realizes its potential to promote human flourishing ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Latin Texts
Latin (, or , ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through the power of the Roman Republic it became the dominant language in the Italy (geographical region), Italian region and subsequently throughout the Roman Empire. Even after the Fall of the Western Roman Empire, fall of Western Rome, Latin remained the common language of international communication, science, scholarship and academia in Europe until well into the 18th century, when other regional vernaculars (including its own descendants, the Romance languages) supplanted it in common academic and political usage, and it eventually became a dead language in the modern linguistic definition. Latin is a fusional language, highly inflected language, with three distinct grammatical gender, genders (masculine, feminine, and neuter), six or seven ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Newton's Method
In numerical analysis, Newton's method, also known as the Newton–Raphson 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 single-variable function defined for a real variable , the function's derivative , and an initial guess for a root of . If the function satisfies sufficient assumptions and the initial guess is close, then :x_ = x_0 - \frac is a better approximation of the root than . Geometrically, is the intersection of the -axis and the tangent of the graph of at : that is, the improved guess is the unique root of the linear approximation at the initial point. The process is repeated as :x_ = x_n - \frac until a sufficiently precise value is reached. This algorithm is first in the class of Householder's methods, succeeded by Halley's method. The method can also be extended to complex functions an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Washington & Jefferson College
Washington & Jefferson College (W&J College or W&J) is a private liberal arts college in Washington, Pennsylvania. The college traces its origin to three log cabin colleges in Washington County established by three Presbyterian missionaries to the American frontier in the 1780s: John McMillan, Thaddeus Dod, and Joseph Smith. These early schools eventually grew into two competing academies, with Jefferson College located in Canonsburg and Washington College located in Washington. The two colleges merged in 1865 to form Washington & Jefferson College. The 60 acre (0.2 km2) campus has more than 40 buildings, with the oldest dating to 1793. The college's academic emphasis is on the liberal arts and the sciences, with a focus on preparing students for graduate and professional schools. Campus activities include various religious, political, and general interest clubs, as well as academic and professional-themed organizations. The college has a strong history of competing lite ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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. Statement 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 the list of all partitions \ of the set \. (When k = 0, the product is empty and by definition equals 1.) 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. Alternatively, the exponential formula can also be written using the cycle index of the symmetric group, as follows:\exp\left(\sum_^\inf ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Opuscula Mathematica, Philosophica Et Philologica
''Opus'' (pl. ''opera'') is a Latin word meaning "work". Italian equivalents are ''opera'' (singular) and ''opere'' (pl.). 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 * Opus 111, a French classical record label bought by Naive Bands * Opus (Austrian band), an Austrian pop-rock group * Opus (Yugoslav band), a former Yugoslav progressive rock group * Opus III (band), an English electronic pop 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 compil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 a founding member and the ''de facto'' early leader of the mathematical Bourbaki group. The philosopher Simone Weil was his sister. The writer Sylvie Weil is his daughter. 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 Muslim University in India. Aside from mathematics, Weil held lifelong interests in classical Greek and Latin literature, in Hinduism and Sanskrit literature: he had taught himself Sanskrit in 1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 a variétés linéaires lacunaires et leurs applications'', was supervised by Paul Montel. Cartan taught at Lycée Malherbe in Caen from 1928 to 1929, at Un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Bergamo
The University of Bergamo ( it, Università degli Studi di 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 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, 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. In 1956, the Louisiana Legis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
