By Antje Düsterhöft, Meike Klettke, Klaus-Dieter Schewe
This Festschrift, released in honor of Bernhard Thalheim at the get together of his sixtieth birthday offers 20 articles via colleagues from around the world with whom Bernhard Thalheim had cooperation in a number of respects; additionally integrated is a systematic biography contributed through the quantity editors. The 20 contributions mirror the breadth and the intensity of the paintings of Bernhard Thalheim in conceptual modeling and database idea in the course of his medical profession spanning greater than 35 years of energetic study. specifically, ten articles are targeting issues like database dependency idea, object-oriented databases, triggers, summary kingdom machines, database and knowledge platforms layout, internet semantics, and company processes.
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Extra info for Conceptual Modelling and Its Theoretical Foundations: Essays Dedicated to Bernhard Thalheim on the Occasion of His 60th Birthday
Consistency and asymptotic normality). , approximate matching for random databases, record linkage, image matching). AMS 2000 subject classification: 94A15, 62G20 Keywords: entropy estimation, R´enyi entropy, U -statistics, approximate matching, asymptotic normality. 1 Introduction Let X and Y be d-dimensional random vectors with discrete or continuous distributions PX and PY , respectively. In information theory and statistics, there are various generalizations of Shannon entropy (Shannon, 1948), characterizing uncertainty in PX and PY , for example, the R´enyi entropy (R´enyi, 1961, 1970), hs = hs (PX ) := 1 log 1−s Rd pX (x)s dx , s = 1, and the (diﬀerentiable) variability for approximate record matching in random databases v = v(PX , PY ) := − log Rd pX (x)pY (x)dx , where pX (x), pY (x), x ∈ Rd , are densities of PX and PY , respectively (see Seleznjev and Thalheim, 2003, 2008).
7(6), 266–269 (1978) 9. : On the equivalence of candidate keys with Sperner systems. Acta Cybern. 4, 247–252 (1980) 10. : Asymptotic properties of keys and functional dependencies in random databases. Theor. Comput. Sci. 190(2), 151–166 (1998) 11. : On Codd families of keys over incomplete relations. Comput. J. 54(7), 1166–1180 (2011) 12. : Eﬃcient reasoning about a robust XML key fragment. ACM Trans. Database Syst. 34(2) (2009) 13. : SPARQLing constraints for RDF. , et al. ) International Conference on Extending Database Technology, EDBT 2008.
J. Autom. Reasoning 40(2-3), 117–132 (2008) 23. : A note on relation schemes which are in 3NF but not in BCNF. Inf. Process. Lett. H. hu Dedicated to Professor Bernhard Thalheim for his 60th birthday Abstract. A model of random databases is given, with arbitrary correlations among the data of one individual. This is given by a joint distribution function. The individuals are chosen independently, their number m is considered to be (approximately) known. The probability of the event that a given functional dependency A → b holds (A is a set of attributes, b is an attribute) is determined in a limiting sense.