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Combinatorial optimization. --- Optimisation combinatoire --- Combinatorial optimization --- 519.212 --- Optimization, Combinatorial --- Combinatorial analysis --- Mathematical optimization --- Abstract probability theory. Combinatorial probabilities. Geometric probabilities --- 519.212 Abstract probability theory. Combinatorial probabilities. Geometric probabilities

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519.212 --- Combinatorial analysis --- Stochastic processes --- #WWIS:IBM/STAT --- Random processes --- Probabilities --- Combinatorics --- Algebra --- Mathematical analysis --- Abstract probability theory. Combinatorial probabilities. Geometric probabilities --- 519.212 Abstract probability theory. Combinatorial probabilities. Geometric probabilities

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Probabilities --- Combinatorial analysis --- Probabilities. --- Combinatorial analysis. --- Analyse combinatoire --- Combinatorial probabilities --- Probabilités combinatoires --- Probabilités combinatoires. --- Probabilités combinatoires.

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Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

Discrete mathematics --- Combinatorial analysis. --- Analyse combinatoire --- Combinatorial probabilities --- Probabilités combinatoires --- Mathematics. --- Math --- Science --- Combinatorics --- Algebra --- Mathematical analysis --- Combinatorial analysis --- Mathematics --- Probabilités combinatoires

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Probability theory --- Probabilities --- 519.21 --- 519.212 --- #WWIS:STAT --- 10.01.a --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Probability theory. Stochastic processes --- Abstract probability theory. Combinatorial probabilities. Geometric probabilities --- Verzekeringswiskunde ; Waarschijnlijkheidsrekening --- Probabilities. --- 519.212 Abstract probability theory. Combinatorial probabilities. Geometric probabilities --- 519.21 Probability theory. Stochastic processes