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1. |
Record Nr. |
UNINA9910458675903321 |
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Autore |
Hay David C. <1947-> |
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Titolo |
Data model patterns [[electronic resource] ] : a metadata map / / David C. Hay |
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Pubbl/distr/stampa |
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Amsterdam ; ; Boston, : Elsevier Morgan Kaufmann, c2006 |
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ISBN |
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1-281-05033-4 |
0-08-047703-8 |
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Edizione |
[1st edition] |
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Descrizione fisica |
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1 online resource (427 p.) |
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Collana |
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The Morgan Kaufmann series in data management systems |
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Disciplina |
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Soggetti |
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Data warehousing |
Metadata |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 391-394) and index. |
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Nota di contenuto |
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Front Cover; Title Page; Copyright Page; Table of contents; PREFACE; ABOUT METADATA; ABOUT THIS BOOK; ACKNOWLEDGMENTS; FOREWORD; 1 ABOUT METADATA MODELS; WHAT ARE METADATA?; IN SEARCH OF METADATA; THE ARCHITECTURE FRAMEWORK; METAMODELS AND THE FRAMEWORK; THE NOTATION: OBJECT AND ENTITY CLASSES; LEVEL OF ABSTRACTION; 2 DATA; DATA AND THE ARCHITECTURE FRAMEWORK; THE BUSINESS OWNER AND BUSINESS RULES; ROW TWO: BUSINESS TERMS, CONCEPTS, AND FACT TYPES; ROW THREE: THE ENTITY-RELATIONSHIP DIAGRAM; ROW FOUR: DATA DESIGN; ROW SIX: THE PRODUCTION SYSTEM; 3 ACTIVITIES, FUNCTIONS, AND PROCESSES |
ACTIVITIES AND THE ARCHITECTURE FRAMEWORK DEFINITIONS; TYPES OF PROCESS MODELS; ROW TWO: FUNCTIONS AND BUSINESS PROCESSES; ROW THREE: PROCESSING DATA; ROW FOUR: PROGRAM MODULES; ROW SIX: PROGRAM INVENTORY; 4 LOCATIONS; ABOUT LOCATIONS; ROW TWO: PLACING PARTIES, BUSINESS PROCESSES, AND MOTIVATION; ROW THREE: DATA FLOW DIAGRAMS; ROW FOUR: PLACING DATA AND PROGRAMS; ROW SIX: SYSTEM INVENTORY; 5 PEOPLE AND ORGANIZATIONS; THE PEOPLE AND ORGANIZATIONS COLUMN; ABOUT PEOPLE AND ORGANIZATIONS; ROW TWO: THE BUSINESS OWNER'S VIEW; ROW THREE: THE ARCHITECT'S VIEW; ROW |
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FOUR: THE DESIGNER'S VIEW |
ROW SIX: SECURITY AND GOVERNANCE 6 EVENTS AND TIMING; THE EVENTS AND TIMING COLUMN; ROW TWO: BUSINESS EVENT TYPES; ROW THREE: SYSTEM EVENTS; ROW FOUR: PROGRAM EVENTS; 7 MOTIVATION; THE MOTIVATION COLUMN; ROW THREE: THE ARCHITECT'S VIEW; ROW FOUR: THE DESIGNER'S VIEW; ROW SIX: MEASURING DATA QUALITY; GLOSSARY; REFERENCES AND FURTHER READING; ABOUT THE AUTHOR; INDEX |
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Sommario/riassunto |
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In recent years, companies and government agencies have come to realize that the data they use represent a significant corporate resource, whose cost calls for management every bit as rigorous as the management of human resources, money, and capital equipment. With this realization has come recognition of the importance to integrate the data that has traditionally only been available from disparate sources. An important component of this integration is the management of the "metadata? that describe, catalogue, and provide access to the various forms of underlying business data. The "me |
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2. |
Record Nr. |
UNINA9910583594703321 |
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Autore |
Marichal Jean-Luc |
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Titolo |
A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions / / by Jean-Luc Marichal, Naïm Zenaïdi |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
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ISBN |
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Edizione |
[1st ed. 2022.] |
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Descrizione fisica |
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1 online resource (xviii, 323 pages) |
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Collana |
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Developments in Mathematics, , 2197-795X ; ; 70 |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Special functions |
Difference equations |
Functional equations |
Special Functions |
Difference and Functional Equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Preface -- List of main symbols -- Table of contents -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Uniqueness and existence results -- Chapter 4. Interpretations of the asymptotic conditions -- Chapter 5. Multiple log-gamma type functions -- Chapter 6. Asymptotic analysis -- Chapter 7. Derivatives of multiple log-gamma type functions -- Chapter 8. Further results -- Chapter 9. Summary of the main results -- Chapter 10. Applications to some standard special functions -- Chapter 11. Definining new log-gamma type functions -- Chapter 12. Further examples -- Chapter 13. Conclusion -- A. Higher order convexity properties -- B. On Krull-Webster's asymptotic condition -- C. On a question raised by Webster -- D. Asymptotic behaviors and bracketing -- E. Generalized Webster's inequality -- F. On the differentiability of \sigma_g -- Bibliography -- Analogues of properties of the gamma function -- Index. |
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Sommario/riassunto |
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In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function. This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization. The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory. |
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