Advances in Neural Networks - ISNN 2005: Second

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Language: English

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A set is declared to be a collection of objects. (Please do not ask what an “object” is or what a “collection” is; when we say that the term “set” is an 42 Discrete Mathematics Demystified undefinable then we mean just that.) If S is a set then we say that x is an element of S, and we write x ∈ S or S  x, precisely when x is one of the objects that compose the set S. See Natural numbers Power sets, 48 Predicate calculus, 2 Prime factors, 185 Prime numbers natural numbers and, 185 RSA encryption and, 227 Probability, 38, 124–127 Problems coin tosses, 124, 129, 153 coloring, 172–178 hospital alarm system, 239–241 Königsberg bridge, 169–172 traveling salesman, 178–180 Proof, 3, 42 by contradiction, 29–32 direct, 24–29 by induction, 32–37, 48 methods of, 23–40 types of, 24 Propositional calculus, 1 Propositional logic, 235 Propositions, 1, 25, 42 p-series, convergence of, 279–282, 286, 291 Public key encryption, 232 Pythagoras, 31 Pythagorean theorem, 28, 30 Q Q (quotient), 52.

Pages: 1077

Publisher: Springer; 2005 edition (August 5, 2005)

ISBN: 3540259147

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