Titlebook: Managing the Complexity of Critical Infrastructures; A Modelling and Simu Roberto Setola,Vittorio Rosato,Erich Rome Book‘‘‘‘‘‘‘‘ 2016 The E

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Antonio Di Pietro,Carlo Liberto,Nikolas Flourentzou,Elias Kyriakides,Ivo Pothof,Gaetano Valenti process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing

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Alberto Tofani,Gregorio D’Agostino,José Martí It is somewhat surprising that the ultimate number structure—the complex numbers—is also minimal. In many respects it is one of the most intriguing mathematical structures. The real field is not minimal, and this is due to the fact that its ordering is definable, but it is order-minimal and all ord

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Wim Huiskamp,Tom van den Berger definability, types, symmetries, and elementary extensions, and shows how they are usedto study and classify mathematical structures. The added Part III to the book is closer to what one finds in standard introductory mathematical textbooks. Definitions, theorems, and proofs that are introduced a

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Micha? Chora?,Rafa? Kozik,Adam Flizikowski,Witold Ho?ubowicz,Rafa? Renko unexpected consequences when we apply the well understood properties of finite collections to infinite sets. The role of axiomatic set theory is to provide basic and commonly accepted principles from which all other knowledge about infinity should follow in a rigorous fashion. There are many choic

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Antonio Di Pietro,Luisa Lavalle,Luigi La Porta,Maurizio Pollino,Alberto Tofani,Vittorio Rosatod here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple set

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Erich Rome,Thomas Doll,Stefan Rilling,Betim Sojeva,Norman Vo?,Jingquan Xied here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple set