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Computational prospects of infinity [[electronic resource] ] . Part I Tutorials / / editors, Chitat Chong ... [et al.]
Computational prospects of infinity [[electronic resource] ] . Part I Tutorials / / editors, Chitat Chong ... [et al.]
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2008
Descrizione fisica 1 online resource (264 p.)
Disciplina 511.322
Altri autori (Persone) ChongC.-T <1949-> (Chi-Tat)
Collana Lecture notes series / Institute for Mathematical Sciences, National University of Singapore
Soggetto topico Recursion theory
Set theory
Infinite
ISBN 1-281-93434-8
9786611934347
981-279-405-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto CONTENTS; Foreword; Preface; Recursion Theory Tutorials; Five Lectures on Algorithmic Randomness Rod Downey; 1. Introduction; 2. Lecture 1: Kolmogorov complexity basics; 2.1. Plain complexity; 2.2. Symmetry of Information; 2.3. Pre.x-free complexity; 2.4. The Coding Theorem; 2.5. Pre.x-free symmetry of information; 2.6. Pre.x-free randomness; 2.7. The overgraph functions; 3. Lecture 2: Randomness for reals; 3.1. Martin-L ̈of randomness; 3.2. Schnorr's Theorem and the computational paradigm; 3.3. Martingales and the prediction paradigm; 3.4. Super martingales and continuous semimeasures
3.5. Schnorr and computable randomness 4. Lecture 3: Randomness in general; 4.1. The de Leeuw, Moore, Shannon, Shapiro Theorem, and Sacks' Theorem; 4.2. Coding into randoms; 4.3. Kucera Coding; 4.4. n-randomness; 4.5. Notes on 2-randoms; 4.6. Kucera strikes again; 4.7. van Lambalgen's Theorem; 4.8. Effective 0-1 Laws; 4.9. Omega operators; 5. Lecture 4: Calibrating randomness; 5.1. Measures of relative randomness and the Kucera-Slaman Theorem; 5.2. The Density Theorem; 5.3. Other measures of relative randomness; 5.4. 5.7. Hausdor. Dimension 6. Lecture 5: Measure-theoretical injury arguments; 6.1. Risking measure; 6.2. 2-random degrees are hyperimmune; 6.3. Almost every degree is CEA; References; Global Properties of the Turing Degrees and the Turing Jump Theodore A. Slaman; 1. Introduction; 1.1. Style; 2. The coding lemma and the rst order theory of the Turing degrees; 2.1. The coding lemma; 3. Properties of automorphisms of D; 3.1. Results of Nerode and Shore; 4. Slaman and Woodin analysis of Aut(D); 4.1. Persistent automorphisms; 4.2. Persistently extending persistent automorphisms
4.3. Persistence and reection 4.4. Generic persistence; 4.5. Denability of automorphisms of D; 4.6. Invariance of the double jump; 5. Denability in D; 5.1. Bi-interpretability; 6. The Turing jump; 6.1. Recursive enumerability; References; Set Theory Tutorials; Derived Models Associated to Mice John R. Steel; 1. Introduction; 2. Some background and preliminaries; 2.1. Homogeneously Suslin sets; 2.2. Hom1 iteration strategies; 2.3. The derived model; 2.4. Iterations to make RV = R; 2.5. Premice over a set; 3. Iteration independence for derived models of mice
4. Mouse operators and jump operators 5. The mouse set conjecture in D(M; ); 6. The Solovay sequence in D(M; ); 7. The -transform; 8. A long Solovay sequence; 9. The mouse set conjectures: Framework of the induction; 10. The background universe N; 11. The L[E]-model Nx; 12. Two hybrid mouse operators at 0; 13. New mice modulo (y); 15. The consistency strength of AD+ + 0 <; 16. Global MSC implies the local MSC; 17. MSC implies capturing via R-mice; References; Tutorial Outline: Suitable Extender Sequences W. Hugh Woodin; 1. Introduction; 2. Generalized iteration trees
2.1. Long extenders
Record Nr. UNINA-9910813457003321
Singapore ; ; Hackensack, NJ, : World Scientific, c2008
Materiale a stampa
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Consequences of Martin's axiom / D. H. Fremlin
Consequences of Martin's axiom / D. H. Fremlin
Autore Fremlin, D.H.
Pubbl/distr/stampa Cambridge (UK) : Cambridge University Press, c1984
Descrizione fisica XII, 325 p. ; 24 cm
Disciplina 511.322
Collana Cambridge tracts in mathematics
Soggetto non controllato Teoria degli insiemi
ISBN 0-521-25091-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-990001327010403321
Fremlin, D.H.  
Cambridge (UK) : Cambridge University Press, c1984
Materiale a stampa
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Consequences of Martin's axiom / D. H. Fremlin
Consequences of Martin's axiom / D. H. Fremlin
Autore Fremlin, D. H.
Pubbl/distr/stampa Cambridge ; New York : Cambridge University Press, 1984
Descrizione fisica xii, 325 p. ; 24 cm.
Disciplina 511.322
Collana Cambridge tracts in mathematics ; 84
Soggetto topico Combinatorial analysis
Martin's axiom
Topology
ISBN 0521250919
Classificazione AMS 03E50
QA248
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000783179707536
Fremlin, D. H.  
Cambridge ; New York : Cambridge University Press, 1984
Materiale a stampa
Lo trovi qui: Univ. del Salento
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The consistency of the axiom of Choice and of the generalized continuum-hypothesis with the axioms of set theory / Kurt Gödel
The consistency of the axiom of Choice and of the generalized continuum-hypothesis with the axioms of set theory / Kurt Gödel
Autore Godel, Kurt
Edizione [8th corr. print. 1970]
Pubbl/distr/stampa Princeton, N. J. : Princeton Univ. Press, 1940
Descrizione fisica 70 p. ; 23 cm.
Disciplina 511.322
Collana Annals of mathematics studies ; 3
Soggetto topico Ordinal and cardinal numbers
ISBN 0691079277
Classificazione AMS 03E10
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000783259707536
Godel, Kurt  
Princeton, N. J. : Princeton Univ. Press, 1940
Materiale a stampa
Lo trovi qui: Univ. del Salento
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The continuum, and other types of serial order : with an introduction to Cantor's transfinite numbers, by Edward V. Huntington
The continuum, and other types of serial order : with an introduction to Cantor's transfinite numbers, by Edward V. Huntington
Autore Huntington, Edward Vermilye
Edizione [2d. ed.]
Pubbl/distr/stampa Cambridge : Harvard University Press, c1917
Descrizione fisica vii, 82 p. ; 20 cm
Disciplina 511.322
Altri autori (Persone) Cantor, Georg
Collana Dover books on mathematics
Soggetto topico Set-valued maps
Classificazione AMS 34A60
AMS 34D
AMS 39A
LC QA248.H9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001889149707536
Huntington, Edward Vermilye  
Cambridge : Harvard University Press, c1917
Materiale a stampa
Lo trovi qui: Univ. del Salento
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The core model / A. Dodd
The core model / A. Dodd
Autore Dodd, A.
Pubbl/distr/stampa Cambridge [England] : Cambridge University Press, 1982
Descrizione fisica xxxviii, 229 p. ; 23 cm
Disciplina 511.322
Collana London Mathematical Society lecture note series, 0076-0552 ; 61
Soggetto topico Axiomatic set theory
ISBN 0521285305
Classificazione AMS 03C
QA248
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000794429707536
Dodd, A.  
Cambridge [England] : Cambridge University Press, 1982
Materiale a stampa
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Dagli insiemi ai numeri : storia e assiomatica della teoria degli insiemi / Gabriele Lolli
Dagli insiemi ai numeri : storia e assiomatica della teoria degli insiemi / Gabriele Lolli
Autore LOLLI, Gabriele
Pubbl/distr/stampa Torino : Bollati Boringhieri, 1994
Descrizione fisica 201 p. ; 22 cm.
Disciplina 511.322
Collana Didattica, Proposte ed esperienze
Soggetto topico Insiemi - Teoria
ISBN 88-339-0838-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ita
Record Nr. UNISA-990001731820203316
LOLLI, Gabriele  
Torino : Bollati Boringhieri, 1994
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Data engineering [[electronic resource] ] : fuzzy mathematics in systems theory and data analysis / / Olaf Wolkenhauer
Data engineering [[electronic resource] ] : fuzzy mathematics in systems theory and data analysis / / Olaf Wolkenhauer
Autore Wolkenhauer Olaf <1966->
Pubbl/distr/stampa New York, : Wiley, c2001
Descrizione fisica 1 online resource (296 p.)
Disciplina 005.74
511.322
Soggetto topico Database management
Fuzzy systems
System analysis
ISBN 1-280-26475-6
9786610264759
0-470-35673-1
0-471-46410-4
0-471-22434-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; Acknowledgments; Introduction; 1.1 Overview of the Remaining Chapters; 1.2 Summary of Key Concepts and Ideas; 1.3 Symbols and Notation; 1 System Analysis; 1.1 Uncertainty; 1.2 The Art of Modelling: Linkage; 1.3 Dynamic Systems; 1.4 Example: Coupled Tanks Model; 2 Uncertainty Techniques; 2.1 The Least-Squares Criterion; 2.1.1 Example: Regression Line; 2.1.2 Example: Fourier Series; 2.2 Maximum Likelihood Estimation; 2.2.1 Example: ML-Estimates; 2.2.2 The EM Algorithm; 2.3 Stochastic Processes; 2.3.1 Example: Kalman-Bucy Filtering; 3 Learning from Data: System Identification
3.1 The Probabilistic Perspective3.2 Kernel Density Estimation; 3.3 Basis Function Approximation; 3.4 Example: EM Algorithm; 3.5 Discussion: Modelling and Identification; 4 Propositions as Subsets of the Data Space; 4.1 Hard-c-Means Clustering; 4.2 Least-Squares Functional: Fuzzy Clustering; 4.3 Example: Hard vs. Fuzzy Clustering; 4.4 Orthogonal Transformation; 4.5 Example: Classification; 4.6 Similarity-Based Reasoning; 4.7 The Quotient Induced by Similarity Relations; 5 Fuzzy Systems and Identification; 5.1 Fuzzy Systems Model Structures; 5.2 Identification of Antecedent Fuzzy Sets
5.3 Parameter Identification in the Takagi-Sugeno Model5.4 Example: TS-Modelling and Identification; 5.5 Example: Prediction of a Chaotic Time-Series; 5.6 Discussion; 5.7 Regression Models and Fuzzy Clustering; 5.8 Example: pH Neutralization Process; 6 Random-Set Modelling and Identification; 6.1 Random Variables, Point-Valued Maps; 6.2 Random-Sets, Multi-Valued Maps; 6.3 A Random-Set Approach to System Identification; 6.4 Example 1: Nonlinear AR Process; 6.5 Example 2: Box- Jenkins Gas-Furnace Data; 7 Certain Uncertainty; 7.1 Uncertainty in Systems Analysis
7.2 A Fuzzy Prepositional Calculus7.2.1 Probabilistic Logic; 7.2.2 Classical Two-Valued Logic; 7.2.3 Approximate Reasoning; 8 Fuzzy Inference Engines; 8.1 Composition-Based Inference; 8.2 Individual-Rule-Based Inference; 8.3 Fuzzy Systems as Nonlinear Mappings; 8.4 Example: Comparison of Inference Engines; 9 Fuzzy Classification; 9.1 Equivalence of Fuzzy and Statistical Classifiers; 9.2 Fuzzy Rule-Based Classifier Design; 10 Fuzzy Control; 10.1 PI-Control vs. Fuzzy PI-Control; 10.2 Example 1: First-Order System with Dead-Time; 10.3 Example 2: Coupled Tanks; 11 Fuzzy Mathematics
11.1 The Algebra of Fuzzy Sets11.2 The Extension Principle; 11.3 Fuzzy Rules and Fuzzy Graphs; 11.4 Fuzzy Logic; 11.5 A Bijective Probability - Possibility Transformation; 11.6 Example: Maintenance Decision Making; 11.7 Example: Evaluating Student Performances; 12 Summary; 12.1 System Representations; 12.2 More Philosophical Ideas; 12.2.1 Data Engineering; 13 Appendices; 13.1 Sets, Relations, Mappings; 13.2 Measuring Forecast Accuracy; 13.3 (Hierarchical) Clustering; 13.4 Measure Spaces and Integrals; 13.5 Unbiasedness of Estimators; 13.6 Statistical Reasoning; 13.7 Frequency Analysis; Index
A
Record Nr. UNINA-9910143174903321
Wolkenhauer Olaf <1966->  
New York, : Wiley, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Decision Making Theories and Methods Based on Interval-Valued Intuitionistic Fuzzy Sets [[electronic resource] /] / by Shuping Wan, Jiuying Dong
Decision Making Theories and Methods Based on Interval-Valued Intuitionistic Fuzzy Sets [[electronic resource] /] / by Shuping Wan, Jiuying Dong
Autore Wan Shuping
Edizione [1st ed. 2020.]
Pubbl/distr/stampa Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020
Descrizione fisica 1 online resource (326 pages)
Disciplina 511.322
Soggetto topico Computational intelligence
Control engineering
Operations research
Decision making
Game theory
Computational Intelligence
Control and Systems Theory
Operations Research/Decision Theory
Game Theory, Economics, Social and Behav. Sciences
ISBN 981-15-1521-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto A possibility degree method for interval-valued intuitionistic fuzzy multi-attribute group decision making -- A new method for Atanassov's interval-valued intuitionistic fuzzy MAGDM with incomplete attribute weight information -- Interval-valued intuitionistic fuzzy mathematical programming method for hybrid multi-criteria group decision making with interval-valued intuitionistic fuzzy truth degrees -- A selection method based on MAGDM with interval-valued intuitionistic fuzzy sets, Mathematical Problems in Engineering -- Aggregating decision information into interval-valued intuitionistic fuzzy numbers for heterogeneous multi-attribute group decision making -- A novel method for group decision making with interval-valued Atanassov intuitionistic fuzzy preference relations -- Additive consistent interval-valued Atanassov intuitionistic fuzzy preference relation and likelihood comparison algorithm based group decision making -- A three-phase method for group decision making with interval-valued intuitionistic fuzzy preference relations -- A group decision-making method considering both the group consensus and multiplicative consistency of interval-valued intuitionistic fuzzy preference relations.
Record Nr. UNINA-9910484903003321
Wan Shuping  
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020
Materiale a stampa
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Descriptive Set Theoretic Methods in Automata Theory [[electronic resource] ] : Decidability and Topological Complexity / / by Michał Skrzypczak
Descriptive Set Theoretic Methods in Automata Theory [[electronic resource] ] : Decidability and Topological Complexity / / by Michał Skrzypczak
Autore Skrzypczak Michał
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2016
Descrizione fisica 1 online resource (XIII, 211 p. 18 illus.)
Disciplina 511.322
Collana Theoretical Computer Science and General Issues
Soggetto topico Machine theory
Computer science
Algorithms
Computer science—Mathematics
Discrete mathematics
Software engineering
Formal Languages and Automata Theory
Computer Science Logic and Foundations of Programming
Theory of Computation
Discrete Mathematics in Computer Science
Software Engineering
ISBN 3-662-52947-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Subclasses of regular languages -- Thin algebras -- Extensions of regular languages.
Record Nr. UNISA-996465309703316
Skrzypczak Michał  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2016
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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