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Defects of properties in mathematics [[electronic resource] ] : quantitative characterizations / / Adrian I. Ban & Sorin G. Gal
| Defects of properties in mathematics [[electronic resource] ] : quantitative characterizations / / Adrian I. Ban & Sorin G. Gal |
| Autore | Ban Adrian I |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (365 p.) |
| Disciplina | 510 |
| Altri autori (Persone) | GalSorin G. <1953-> |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico |
Mathematics
Fuzzy mathematics Deviation (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-764-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 Introduction; 1.1 General Description of the Topic; 1.2 On Chapter 2: Defect of Property in Set Theory; 1.3 On Chapter 3: Defect of Property in Topology; 1.4 On Chapter 4: Defect of Property in Measure Theory; 1.5 On Chapter 5: Defect of Property in Real Function Theory; 1.6 On Chapter 6: Defect of Property in Functional Analysis; 1.7 On Chapter 7: Defect of Property in Algebra; 1.8 On Chapter 8: Miscellaneous; Chapter 2 Defect of Property in Set Theory; 2.1 Measures of Fuzziness; 2.2 Intuitionistic Entropies; 2.3 Applications
2.3.1 Application to determination of degree of interference2.3.2 Application to description of the performance of systems; 2.3.3 Application to digital image processing; 2.4 Bibliographical Remarks; Chapter 3 Defect of Property in Topology; 3.1 Measures of Noncompactness for Classical Sets; 3.2 Random Measures of Noncompactness; 3.3 Measures of Noncompactness for Fuzzy Subsets in Metric Space; 3.4 Measures of Noncompactness for Fuzzy Subsets in Topological Space; 3.5 Defects of Opening and of Closure for Subsets in Metric Space; 3.6 Bibliographical Remarks and Open Problems Chapter 4 Defect of Property in Measure Theory4.1 Defect of Additivity: Basic Definitions and Properties; 4.1.1 Application to calculation of fuzzy integral; 4.1.2 Application to best approximation of a fuzzy measure; 4.1.3 A metric on the family of fuzzy measures; 4.2 Defect of Complementarity; 4.3 Defect of Monotonicity; 4.4 Defect of Subadditivity and of Superadditivity; 4.5 Defect of Measurability; 4.6 Bibliographical Remarks; Chapter 5 Defect of Property in Real Function Theory; 5.1 Defect of Continuity of Differentiability and of Integrability 5.2 Defect of Monotonicity of Convexity and of Linearity5.3 Defect of Equality for Inequalities; 5.4 Bibliographical Remarks and Open Problems; Chapter 6 Defect of Property in Functional Analysis; 6.1 Defect of Orthogonality in Real Normed Spaces; 6.2 Defect of Property for Sets in Normed Spaces; 6.3 Defect of Property for Functionals; 6.4 Defect of Property for Linear Operators on Normed Spaces; 6.5 Defect of Fixed Point; 6.6 Bibliographical Remarks and Open Problems; Chapter 7 Defect of Property in Algebra; 7.1 Defects of Property for Binary Operations 7.2 Calculations of the Defect of Property7.3 Defect of Idempotency and Distributivity of Triangular Norms; 7.4 Applications; 7.5 Bibliographical Remarks; Chapter 8 Miscellaneous; 8.1 Defect of Property in Complex Analysis; 8.2 Defect of Property in Geometry; 8.3 Defect of Property in Number Theory; 8.4 Defect of Property in Fuzzy Logic; 8.5 Bibliographical Remarks and Open Problems; Bibliography; Index |
| Record Nr. | UNINA-9910450986503321 |
Ban Adrian I
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Defects of properties in mathematics [[electronic resource] ] : quantitative characterizations / / Adrian I. Ban & Sorin G. Gal
| Defects of properties in mathematics [[electronic resource] ] : quantitative characterizations / / Adrian I. Ban & Sorin G. Gal |
| Autore | Ban Adrian I |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (365 p.) |
| Disciplina | 510 |
| Altri autori (Persone) | GalSorin G. <1953-> |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico |
Mathematics
Fuzzy mathematics Deviation (Mathematics) |
| ISBN | 981-277-764-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 Introduction; 1.1 General Description of the Topic; 1.2 On Chapter 2: Defect of Property in Set Theory; 1.3 On Chapter 3: Defect of Property in Topology; 1.4 On Chapter 4: Defect of Property in Measure Theory; 1.5 On Chapter 5: Defect of Property in Real Function Theory; 1.6 On Chapter 6: Defect of Property in Functional Analysis; 1.7 On Chapter 7: Defect of Property in Algebra; 1.8 On Chapter 8: Miscellaneous; Chapter 2 Defect of Property in Set Theory; 2.1 Measures of Fuzziness; 2.2 Intuitionistic Entropies; 2.3 Applications
2.3.1 Application to determination of degree of interference2.3.2 Application to description of the performance of systems; 2.3.3 Application to digital image processing; 2.4 Bibliographical Remarks; Chapter 3 Defect of Property in Topology; 3.1 Measures of Noncompactness for Classical Sets; 3.2 Random Measures of Noncompactness; 3.3 Measures of Noncompactness for Fuzzy Subsets in Metric Space; 3.4 Measures of Noncompactness for Fuzzy Subsets in Topological Space; 3.5 Defects of Opening and of Closure for Subsets in Metric Space; 3.6 Bibliographical Remarks and Open Problems Chapter 4 Defect of Property in Measure Theory4.1 Defect of Additivity: Basic Definitions and Properties; 4.1.1 Application to calculation of fuzzy integral; 4.1.2 Application to best approximation of a fuzzy measure; 4.1.3 A metric on the family of fuzzy measures; 4.2 Defect of Complementarity; 4.3 Defect of Monotonicity; 4.4 Defect of Subadditivity and of Superadditivity; 4.5 Defect of Measurability; 4.6 Bibliographical Remarks; Chapter 5 Defect of Property in Real Function Theory; 5.1 Defect of Continuity of Differentiability and of Integrability 5.2 Defect of Monotonicity of Convexity and of Linearity5.3 Defect of Equality for Inequalities; 5.4 Bibliographical Remarks and Open Problems; Chapter 6 Defect of Property in Functional Analysis; 6.1 Defect of Orthogonality in Real Normed Spaces; 6.2 Defect of Property for Sets in Normed Spaces; 6.3 Defect of Property for Functionals; 6.4 Defect of Property for Linear Operators on Normed Spaces; 6.5 Defect of Fixed Point; 6.6 Bibliographical Remarks and Open Problems; Chapter 7 Defect of Property in Algebra; 7.1 Defects of Property for Binary Operations 7.2 Calculations of the Defect of Property7.3 Defect of Idempotency and Distributivity of Triangular Norms; 7.4 Applications; 7.5 Bibliographical Remarks; Chapter 8 Miscellaneous; 8.1 Defect of Property in Complex Analysis; 8.2 Defect of Property in Geometry; 8.3 Defect of Property in Number Theory; 8.4 Defect of Property in Fuzzy Logic; 8.5 Bibliographical Remarks and Open Problems; Bibliography; Index |
| Record Nr. | UNINA-9910785086603321 |
|
Ban Adrian I
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Defects of properties in mathematics : quantitative characterizations / Adrian I. Ban & Sorin G. Gal
| Defects of properties in mathematics : quantitative characterizations / Adrian I. Ban & Sorin G. Gal |
| Autore | Ban, Adrian I. |
| Pubbl/distr/stampa | Singapore : World Scientific, c2002 |
| Descrizione fisica | xi, 352 p. ; 23 cm. |
| Disciplina | 510 |
| Altri autori (Persone) | Gal, Sorin G. |
| Collana | Series on concrete and applicable mathematics ; 5 |
| Soggetto topico |
Deviation (Mathematics)
Fuzzy mathematics Mathematics |
| ISBN | 9810249241 |
| Classificazione | AMS 00A05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003676299707536 |
|
Ban, Adrian I.
|
||
| Singapore : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Moderate deviations for the range of planar random walks / / Richard F. Bass, Xia Chen, Jay Rosen
| Moderate deviations for the range of planar random walks / / Richard F. Bass, Xia Chen, Jay Rosen |
| Autore | Bass Richard F. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 519.2/82 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random walks (Mathematics)
Deviation (Mathematics) Local times (Stochastic processes) Limit theorems (Probability theory) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0535-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. History""; ""Chapter 3. Overview""; ""Chapter 4. Preliminaries""; ""Chapter 5. Moments of the range""; ""Chapter 6. Moderate deviations for R[sub(n)] � ER[sub(n)]""; ""Chapter 7. Moderate deviations for ER[sub(n)] � R[sub(n)]""; ""Chapter 8. Exponential asymptotics for the smoothed range""; ""Chapter 9. Exponential approximation""; ""Chapter 10. Laws of the iterated logarithm""; ""Bibliography"" |
| Record Nr. | UNINA-9910480247503321 |
|
Bass Richard F.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moderate deviations for the range of planar random walks / / Richard F. Bass, Xia Chen, Jay Rosen
| Moderate deviations for the range of planar random walks / / Richard F. Bass, Xia Chen, Jay Rosen |
| Autore | Bass Richard F. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 519.2/82 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random walks (Mathematics)
Deviation (Mathematics) Local times (Stochastic processes) Limit theorems (Probability theory) |
| ISBN | 1-4704-0535-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. History""; ""Chapter 3. Overview""; ""Chapter 4. Preliminaries""; ""Chapter 5. Moments of the range""; ""Chapter 6. Moderate deviations for R[sub(n)] � ER[sub(n)]""; ""Chapter 7. Moderate deviations for ER[sub(n)] � R[sub(n)]""; ""Chapter 8. Exponential asymptotics for the smoothed range""; ""Chapter 9. Exponential approximation""; ""Chapter 10. Laws of the iterated logarithm""; ""Bibliography"" |
| Record Nr. | UNINA-9910788854803321 |
|
Bass Richard F.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moderate deviations for the range of planar random walks / / Richard F. Bass, Xia Chen, Jay Rosen
| Moderate deviations for the range of planar random walks / / Richard F. Bass, Xia Chen, Jay Rosen |
| Autore | Bass Richard F. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 519.2/82 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random walks (Mathematics)
Deviation (Mathematics) Local times (Stochastic processes) Limit theorems (Probability theory) |
| ISBN | 1-4704-0535-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. History""; ""Chapter 3. Overview""; ""Chapter 4. Preliminaries""; ""Chapter 5. Moments of the range""; ""Chapter 6. Moderate deviations for R[sub(n)] � ER[sub(n)]""; ""Chapter 7. Moderate deviations for ER[sub(n)] � R[sub(n)]""; ""Chapter 8. Exponential asymptotics for the smoothed range""; ""Chapter 9. Exponential approximation""; ""Chapter 10. Laws of the iterated logarithm""; ""Bibliography"" |
| Record Nr. | UNINA-9910817265503321 |
|
Bass Richard F.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
