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Topic: Arithmetic group


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 Encyclopedia :: encyclopedia : Fundamental theorem of arithmetic   (Site not responding. Last check: 2007-10-30)
In mathematics, and in particular number theory, the fundamental theorem of arithmetic or unique factorization theorem is the statement that every positive integer greater than 1 is either a prime number or can be written as a product of prime numbers.
However if the prime factorizations are not known, the use of Euclid's algorithm generally requires much less calculation than factoring the two numbers.
The fundamental theorem ensures that additive and multiplicative arithmetic functions are completely determined by their values on the powers of prime numbers.
www.hallencyclopedia.com /Fundamental_theorem_of_arithmetic   (915 words)

  
 CATHOLIC ENCYCLOPEDIA: The Seven Liberal Arts
They are seven in number and may be arranged in two groups, the first embracing grammar, rhetoric, and dialectic, in other words, the sciences of language, of oratory, and of logic, better known as the artes sermocinales, or language studies; the second group comprises arithmetic, geometry, astronomy, and music, i.e.
The first group is considered to be the elementary group, whence these branches are also called artes triviales, or trivium, i.e.
arithmetic, geometry, astronomy, and music, which are calculated to put into action the powers of reflection (dianoia), and to enable the student to progress by degrees from sensuous to intellectual perception, as he successively masters the theory of numbers, of forms, of the kinetic laws of bodies, and of the laws of (musical) sounds.
www.newadvent.org /cathen/01760a.htm   (4580 words)

  
 VITA of Oscar Garcia
As Program Director of the Interactive Systems Program in the Information, Robotics, and Intelligent Systems Division (September, 1992 to December, 1994) in the CISE Directorate managed a rapid growth broadly based program in human-computer interaction research and education, that grew from $3.6M in 1992 to $5.4M in 1994.
Special Group Award for Outstanding Work in the Model Curricula Committee of the IEEE Computer Society, September, 1977.
"Arithmetic Codes in a Module: A Majority Decoding Approach," with J. Rodriguez, IEEE Symposium on Computer Arithmetic, University of Maryland, College Park, MD, May 15-16, 1972.
www.engineering.wright.edu /people/faculty/agoshtas/oscar.html   (5328 words)

  
 Jean-Michel Muller
Computer arithmetic: floating-point arithmetic, algorithms and architectures for fast and/or accurate arithmetic, number systems, elementary functions, Cordic.
UCLA Group for arithmetic-intensive algorithms and application-specific architectures
MPFR, a library for multiprecision floating-point arithmetic with exact rounding (try it: it is excellent!)
perso.ens-lyon.fr /jean-michel.muller   (398 words)

  
 College of Engineering: Oscar Garcia vita
At George Washington University (1985-1995): administrative duties were minimal, related only to the supervision of aspects of the Artificial Intelligence program within the department, as senior member of the group.
Fellow, IEEE, 1984, "for contributions to arithmetic coding theory and leadership in computer science education"; Life Fellow, 2002, for continuous contributions to IEEE and the profession.
Member of the Executive Committee, Technical Group on Multi-Media of the IEEE Computer Society Technical Advisory Board, 1993-1994.
www.eng.unt.edu /deanvita.htm   (6390 words)

  
 Structure of Intellect abilities and suggestions to strengthen these abilities.
Spelling and arithmetic facts while bouncing on a trampoline, spelling games, flash cards, help make grocery lists and shop, manage allowance, Simon, Simon on the Internet, summarize books to adults, summarize TV plots to parents, computer memory games, complex board games.
Speak and Spell, scavenger hunts, retell stories from TV and movies, spelling games, Wheel of Fortune, Memory and concentration games, Internet concentration game, music lessons, learn a foreign language.
Music lessons, foreign language lessons, children's opera,little theater roles to act out, Trivia, Yahtzee, bird song tapes, do arithmetic on the trampoline, Command Game, Campbell's Introduction to the Musical Brain, Bower Cubes, Tomatis' method, Bridge.
www.yourfamilyclinic.com /ld/SOIathome.html   (1129 words)

  
 Knowledge Management Theory, Knowledge Management Information   (Site not responding. Last check: 2007-10-30)
Broad-ranging group at Leipzig, concerned with philosophical impact of Gricean speech act theory, and also with knowledge representation.
Department of Mathematics,; Logic Group. Research interests: model theory, uncertain reasoning and logical aspects of AI, variants of classical set theory and their applications, and formalisation in theory and practice. Members, courses.
Topics: algebraic theory, arithmetic theory, K-theory, algebraic groups, and the theory of metric spaces. Louisiana State University, Baton Rouge, USA; 26--30 March 2001.
www.knowledgemanagementinformation.com /knowledgemanagementtheory   (2279 words)

  
 Some Useful Web Sites
Computer arithmetic, Stanford U, Michael J Flynn: http://arith.stanford.edu
Computer arithmetic, U Wisc Madison, Michael Schulte: http://www.engr.wisc.edu/ece/faculty/schulte_michael.htm
Stanford Architecture and Arithmetic Group, Michael J Flynn: http://arith.stanford.edu
www.ece.ucsb.edu /Faculty/Parhami/useful_sites.htm   (196 words)

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