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281“…In addition, a large body of material which has appeared previously (in scattered and sometimes inaccessible journal articles) has been extensively reworked and in many cases given new and improved proofs. The set theory required is carefully developed with algebraists in mind, and the independence results are derived from explicitly stated axioms. …”
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282por Faticoni, Theodore G“…—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."…”
Publicado 2012
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283por Baillon, Paul“…The mathematical framework is the set theory with its axioms and its formal logic. No special knowledge is needed.…”
Publicado 2014
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284por Montagna, Franco“…The book opens with a discussion on Hájek's contribution to mathematical fuzzy logic and with a scientific biography of him, progresses to include two articles with a foundation flavour, that demonstrate some important aspects of Hájek's production, namely, a paper on the development of fuzzy sets and another paper on some fuzzy versions of set theory and arithmetic. Articles in the volume also focus on the treatment of vague…”
Publicado 2014
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285por Gray, Jeremy“…This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass. …”
Publicado 2015
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286“…It will thus be of wide appeal among mathematicians and philosophers with an interest in the foundations of set theory. The Hyperuniverse Project was supported by the John Templeton Foundation from January 2013 until September 2015.…”
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287por Broekhuizen, Henk, Groothuis-Oudshoorn, Catharina G. M., van Til, Janine A., Hummel, J. Marjan, IJzerman, Maarten J.“…A large number of papers considered the analytic hierarchy process in combination with fuzzy set theory (31 %). Only 3 % of studies were published in healthcare-related journals. …”
Publicado 2015
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288por Gullberg, JanTabla de Contenidos: “…Numbers and language -- Systems of numeration -- Types of numbers -- Cornerstones of mathematics -- Combinatorics -- Symbolic logic -- Set theory -- Introduction to sequences and series -- Theory of equations -- Introduction to functions -- Overture to the geometries -- Elementary geometry -- Trigonometry -- Hyperbolic functions -- Analytic geometry -- Vector analysis -- Fractals -- Matrices and determinants -- Embarking on calculus -- Introduction to differential calculus -- Introduction to integral calculus -- Power series -- Indeterminate limits -- Complex numbers revisited -- Extrema and critical points -- Arc length -- Centroids -- Area -- Volume -- Motion -- Harmonic analysis -- Methods of approximation -- Probability theory -- Differential equations.…”
Publicado 1997
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289por Kechris, Alexander S“…The presentation here is often influenced by descriptive set theory, and Borel and generic analogs of various results are discussed. …”
Publicado 2004
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290por Cupillari, Antonella“….* The "List of Symbols" has been extended.* Set Theory section has been strengthened with more examples and exercises.* Addition of "A Collection of Proofs"…”
Publicado 2005
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291por Cheng, Yong“…In this book, the author gives a counterexample for this question and isolates this counterexample from Martin-Harrington theorem in set theory. It shows that the statement “Harrington’s principle implies zero sharp” is not provable in second order arithmetic. …”
Publicado 2019
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292“…We try to determine the type of abdominal pain of the patients who have several symptoms. Via the rough set theory, we obtain information table and discernibility matrix and put forward the status decision information. …”
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293por Li, He, Yazdi, Mohammad, Huang, Hong-Zhong, Huang, Cheng-Geng, Peng, Weiwen, Nedjati, Arman, Adesina, Kehinde A.“…The subjective uncertainty of decision makers’ opinions is dealt with in a novel extension of fuzzy Rough set theory. The results highlighted that the proposed method has merits in reducing uncertainty and assessing the dependency between factors of complicated decision-making problems.…”
Publicado 2023
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294por Mestre, Alexandre, Aguilar-Alberola, Josep A, Baldry, David, Balkis, Husamettin, Ellis, Adam, Gil-Delgado, Jose A, Grabow, Karsten, Klobučar, Göran, Kouba, Antonín, Maguire, Ivana, Martens, Andreas, Mülayim, Ayşegül, Rueda, Juan, Scharf, Burkhard, Soes, Menno, S Monrós, Juan, Mesquita-Joanes, Francesc“…In the framework of set theory, interactions between biotic (B), abiotic (A), and movement-related (M) factors in the geographical space can be hypothesized with BAM diagrams and tested using ecological niche models (ENMs) to estimate A and B areas. …”
Publicado 2013
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295“…Inverse-decision rules based on rough set theory are utilized to justify and validate the forecasts. …”
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296“…Paul Erdös was one of the most influential mathematicians of the twentieth century, whose work in number theory, combinatorics, set theory, analysis, and other branches of mathematics has determined the development of large areas of these fields. …”
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297“…The modelling presented uses ideas from fuzzy set theory and the suggested methods solve problems usually tackled by data analysis if the data are real numbers. …”
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298“…It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required. …”
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299por Garling, D J H“…It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. …”
Publicado 2013
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300por Mynard, Frédéric“…It motivates the introduction of the formal language of logic and set theory and develops the basics with examples, exercises with solutions and exercises without. …”
Publicado 2018
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