"Chang tshang mathematician" Essays and Research Papers

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    Euclid of Alexandria To describe him as one of the most influential and most widely read mathematicians of all times would accurately portray Euclid of Alexandria. His fame comes from his writings‚ in particular his masterpiece‚ The Elements‚ the long studied thirteen volume work on geometry and number theory. Except for the Bible‚ no other book has been so widely translated and circulated. It is undoubtedly the best mathematic text ever written and made him known to all as "the father of geometry

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    Non-Euclidean Geometry

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    Non-Euclidean geometry is any form of geometry that is based on axioms‚ or postulates‚ different from those of Euclidean geometry. These geometries were developed by mathematicians to find a way to prove Euclid’s fifth postulate as a theorem using his other four postulates. They were not accepted until around the nineteenth century. These geometries are based on a curved plane‚ whether it is elliptic or hyperbolic. There are no parallel lines in non-Euclidean geometry‚ and the angles of triangles

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    logical steps but the outcome may not be reliable for some extent. If the moral problem can be solve by using the algorithm‚ logically‚ there are only two approaches that enable it which is by the professional mathematician or by a computer system. First‚ if we talk about the professional mathematician‚ they are the experts and at the same time as a consultant that can relates most of anything with numbers and algorithms. Thus‚ with the current life that full of moral issues‚ they might come out with solution

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    Math TriviaS

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    142857 × 3 = 42857 1 MATHEMATICS : Mathematics is the abstract study of topics such as quantity (numbers)‚ structure‚ space‚ and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena‚ then mathematical reasoning can provide

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    provide explanations of variability‚ takes into consideration the ways in which culture shapes the individual‚ to experience‚ and expressions of well-being‚ physical health‚ stressors and this is done a variety of different fashions 2(Dutton‚ Ryder‚ Chang‚ and Butler‚ 2012). From accounts by the APA‚ Clinical Psychology is a general type of practice in the health service industry‚ in which the provider is a specialist in the field of professional psychology (American Psychological Association‚ 2012)

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    internship recommendation

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    and give her my strongest recommendation for roles which require intelligence‚ organization‚ communication skills‚ service and a positive attitude. Please feel free to contact me if you need additional information or perspective. Sincerely‚ Peter Chang Director of ELA Curriculum Research & Development Vice Center Director of Pudong Campus‚ New Pathway Education 13232285189 peter@npathway.com To Whom it May Concern‚ Cindy Kuo interned at New Pathway Education for three weeks under my supervision

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    are therefore forced to rely extensively on the Euclidean Summary of Proclus. This contains an outline of the development of Greek geometry from early times until Euclid (Allen‚ 1997). Thales is often considered to be one of the first Greek mathematicians. The proposition known as the “Theorem of Thales” states‚ “The diameter of a circle always subtends a right angle to any point on the circle” (Thomas‚ 1991‚ p. 119). There are few primary sources that are able to describe early Greek Mathematics

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    pascals triangle

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    Luis Puga Trig. Ms.Candidato 2/20/12 The Pascal’s Triangle The Pascal’s Triangle is a triangular array of the binomial coefficients. The system after French mathematician Blaise Pascal. The set of numbers that form Pascal’s triangle were known before Pascal. However‚ Pascal developed many uses of it and was the first one to organize all the information together in his treatise‚ Traité du triangle arithmétique (1653). The numbers originally arose from Hindu studies of combinatorics and binomial

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    Rogers–Ramanujan identities Ramanujan’s master theorem | Influences | G. H. Hardy | Signature | Srinivasa Ramanujan Tamil: ஸ்ரீனிவாஸ ராமானுஜன் (ஐயங்கார்) FRS ( pronunciation (help·info)) (22 December 1887 – 26 April 1920) was an Indian mathematician and autodidact who‚ with almost no formal training in pure mathematics‚ made extraordinary contributions to mathematical analysis‚ number theory‚ infinite series‚ and continued fractions. Living in India with no access to the larger mathematical

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    The History of Pi

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    does not realize the history associated with the symbol‚ which not only spans throughout the centuries but throughout the millenniums. The Babylonians‚ Egyptians‚ Archimedes of Syracuse‚ Leonardo of Pisa‚ Francois Viete‚ Leonhard Euler‚ Asian mathematicians such as Liu Hiu‚ Tsu Ch’ung-Chih‚ Arya Bhatta‚ Gottfried Leibniz‚ Isaac Newton‚ William Jones‚ John Machin. George Buffon and Srinivasa Ramanujan‚ have all played a role in the enriched past of this important mathematical symbol. The ancient

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