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Benjamin West (astronomer)
Benjamin West (March 1730 – August 26, 1813) was an American astronomer, mathematician, professor, and author of almanacs. Life and work Born in Rehoboth, Massachusetts, Benjamin West was largely an autodidact. After a school he started in Providence, Rhode Island about 1753 proved unprofitable, he opened a dry-goods store and added what is thought to have been the first bookstore in Providence. He closed his store and made clothes for soldiers during the American Revolutionary War. Immediately after the war West opened another school in Providence and then taught at Philadelphia's new Protestant Episcopal Academy from 1787 to 1788. In 1786 he was appointed Professor of Mathematics and Astronomy at Rhode Island College (now known as Brown University), and assumed this position in 1788. He taught mathematics and astronomy at Rhode Island College until 1799. Upon leaving Rhode Island College West moved to Newport to start a school of navigation in his home. From 1802 ...
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Rehoboth, Massachusetts
Rehoboth is a historic town in Bristol County, Massachusetts. Established in 1643, Rehoboth is one of the oldest towns in Massachusetts. The population was 12,502 at the 2020 census. Rehoboth is a mostly rural community with many historic sites including 53 historic cemeteries. History Rehoboth was established in 1643 by Walter Palmer (born 1585) and William Sabin. It was incorporated in 1645, one of the earliest Massachusetts towns to incorporate. The town is named for the Hebrew word for "enlargement," (Broad Places) signifying the space settlers enjoyed (God has given us room). Early Rehoboth, known as Old Rehoboth, included all of what is now Seekonk, Massachusetts, and East Providence, Rhode Island, as well as parts of the nearby communities of Attleboro, North Attleborough, Swansea, and Somerset in Massachusetts, and Barrington, Bristol, Warren, Pawtucket, Cumberland, and Woonsocket in Rhode Island. The town was and still is a site of a crossroads which help to serve ...
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Harvard College
Harvard College is the undergraduate college of Harvard University, an Ivy League research university in Cambridge, Massachusetts. Founded in 1636, Harvard College is the original school of Harvard University, the oldest institution of higher learning in the United States and among the most prestigious in the world. Part of the Faculty of Arts and Sciences, Harvard College is Harvard University's traditional undergraduate program, offering AB and SB degrees. It is highly selective, with fewer than five percent of applicants being offered admission in recent years. Harvard College students participate in more than 450 extracurricular organizations and nearly all live on campus—first-year students in or near Harvard Yard, and upperclass students in community-oriented "houses". History The school came into existence in 1636 by vote of the Great and General Court of the Massachusetts Bay Colony—though without a single building, instructor, or student. In 1638, the colleg ...
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Dartmouth College
Dartmouth College (; ) is a private research university in Hanover, New Hampshire. Established in 1769 by Eleazar Wheelock, it is one of the nine colonial colleges chartered before the American Revolution. Although founded to educate Native Americans in Christian theology and the English way of life, the university primarily trained Congregationalist ministers during its early history before it gradually secularized, emerging at the turn of the 20th century from relative obscurity into national prominence. It is a member of the Ivy League. Following a liberal arts curriculum, Dartmouth provides undergraduate instruction in 40 academic departments and interdisciplinary programs, including 60 majors in the humanities, social sciences, natural sciences, and engineering, and enables students to design specialized concentrations or engage in dual degree programs. In addition to the undergraduate faculty of arts and sciences, Dartmouth has four professional and graduate schools: ...
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Harvard University
Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher learning in the United States and one of the most prestigious and highly ranked universities in the world. The university is composed of ten academic faculties plus Harvard Radcliffe Institute. The Faculty of Arts and Sciences offers study in a wide range of undergraduate and graduate academic disciplines, and other faculties offer only graduate degrees, including professional degrees. Harvard has three main campuses: the Cambridge campus centered on Harvard Yard; an adjoining campus immediately across Charles River in the Allston neighborhood of Boston; and the medical campus in Boston's Longwood Medical Area. Harvard's endowment is valued at $50.9 billion, making it the wealthiest academic institution in the world. Endowment inco ...
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William Goddard (U
William or Bill Goddard may refer to: * William Henry Goddard (1795–1872), English merchant in Gambia * William Goddard (engineer) (1913–1997), American engineer for IBM and inventor * William Andrew Goddard III (born 1937), American professor of chemistry at the California Institute of Technology * William Goddard (printer) (1740–1817), American patriot and printer * Bill Goddard (footballer) William George Goddard (24 February 1880 - 26 August 1939) was an Australian rules footballer who played for South Melbourne, Carlton and St Kilda in the Victorian Football League (VFL). Family The son of Arthur Goddard (-1884), and Matilda Go ...
(1880–1939), Australian rules footballer {{hndis, Goddard, William ...
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Maxima And Minima
In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the ''local'' or ''relative'' extrema), or on the entire domain (the ''global'' or ''absolute'' extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions. As defined in set theory, the maximum and minimum of a set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum. Definition A real-valued function ''f'' defined on a domain ''X'' has a global (or absolute) maximum point at ''x''∗, if for all ''x'' in ''X''. Similarly, the function has a global (or absolute) minimum point at ''x''∗, if for all ''x'' in ''X''. The value of the function at a m ...
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Fluxion
A fluxion is the instantaneous rate of change, or gradient, of a fluent (a time-varying quantity, or function) at a given point. Fluxions were introduced by Isaac Newton to describe his form of a time derivative (a derivative with respect to time). Newton introduced the concept in 1665 and detailed them in his mathematical treatise, ''Method of Fluxions''. Fluxions and fluents made up Newton's early calculus. History Fluxions were central to the Leibniz–Newton calculus controversy, when Newton sent a letter to Gottfried Wilhelm Leibniz explaining them, but concealing his words in code due to his suspicion. He wrote: The gibberish string was in fact a hash code (by denoting the frequency of each letter) of the Latin phrase ''Data æqvatione qvotcvnqve flventes qvantitates involvente, flvxiones invenire: et vice versa'', meaning: "Given an equation that consists of any number of flowing quantities, to find the fluxions: and vice versa". Example If the fluent is defined as y=t ...
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American Academy Of Arts And Sciences
The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other Founding Fathers of the United States. It is headquartered in Cambridge, Massachusetts. Membership in the academy is achieved through a thorough petition, review, and election process. The academy's quarterly journal, ''Dædalus'', is published by MIT Press on behalf of the academy. The academy also conducts multidisciplinary public policy research. History The Academy was established by the Massachusetts legislature on May 4, 1780, charted in order "to cultivate every art and science which may tend to advance the interest, honor, dignity, and happiness of a free, independent, and virtuous people." The sixty-two incorporating fellows represented varying interests and high standing in the political, professional, and commercial secto ...
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Nth Root
In mathematics, a radicand, also known as an nth root, of a number ''x'' is a number ''r'' which, when raised to the power ''n'', yields ''x'': :r^n = x, where ''n'' is a positive integer, sometimes called the ''degree'' of the root. A root of degree 2 is called a ''square root'' and a root of degree 3, a ''cube root''. Roots of higher degree are referred by using ordinal numbers, as in ''fourth root'', ''twentieth root'', etc. The computation of an th root is a root extraction. For example, 3 is a square root of 9, since 3 = 9, and −3 is also a square root of 9, since (−3) = 9. Any non-zero number considered as a complex number has different complex th roots, including the real ones (at most two). The th root of 0 is zero for all positive integers , since . In particular, if is even and is a positive real number, one of its th roots is real and positive, one is negative, and the others (when ) are non-real complex numbers; if is even and is a negative real numbe ...
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Theorem
In mathematics, a theorem is a statement that has been proved, or can be proved. The ''proof'' of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems. In the mainstream of mathematics, the axioms and the inference rules are commonly left implicit, and, in this case, they are almost always those of Zermelo–Fraenkel set theory with the axiom of choice, or of a less powerful theory, such as Peano arithmetic. A notable exception is Wiles's proof of Fermat's Last Theorem, which involves the Grothendieck universes whose existence requires the addition of a new axiom to the set theory. Generally, an assertion that is explicitly called a theorem is a proved result that is not an immediate consequence of other known theorems. Moreover, many authors qualify as ''theorems'' only the most important results, and use the terms ''lemma'', ''proposition'' and ...
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Lexell's Comet
D/1770 L1, popularly known as Lexell's Comet after its orbit computer Anders Johan Lexell, was a comet discovered by astronomer Charles Messier in June 1770.Other comets named after their orbit computer, rather than discoverer, are 27P/Crommelin, 2P/Encke and 1P/Halley – Halley's Comet. It is notable for having passed closer to Earth than any other comet in recorded history, approaching to a distance of only ,Kronk, G. Cometography: D/1770 L1 (Lexell)', accessed November 20, 2008.Kronk, G. ', accessed November 20, 20, 2008. It was thought that C/1491 B1 may have approached even closer on February 20, 1491, but its orbit was retracted in 2002 due to a misunderstanding of the records. SeApproximate Orbits of Ancient and Medieval Comets: 3. Remarks and Discussion/ref> or six times the distance from the Earth to the Moon. The comet has not been seen since 1770 and is considered a lost comet. Lexell's Comet's 1770 passing still holds the record of closest observed approach of ...
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Royal Society
The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, recognising excellence in science, supporting outstanding science, providing scientific advice for policy, education and public engagement and fostering international and global co-operation. Founded on 28 November 1660, it was granted a royal charter by King Charles II as The Royal Society and is the oldest continuously existing scientific academy in the world. The society is governed by its Council, which is chaired by the Society's President, according to a set of statutes and standing orders. The members of Council and the President are elected from and by its Fellows, the basic members of the society, who are themselves elected by existing Fellows. , there are about 1,700 fellows, allowed to use the postnominal title FRS (Fellow of the ...
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