By Antje Düsterhöft, Meike Klettke, Klaus-Dieter Schewe
This Festschrift, released in honor of Bernhard Thalheim at the celebration of his sixtieth birthday offers 20 articles through colleagues from around the globe with whom Bernhard Thalheim had cooperation in a number of respects; additionally incorporated is a systematic biography contributed by way of the amount editors. The 20 contributions replicate the breadth and the intensity of the paintings of Bernhard Thalheim in conceptual modeling and database idea in the course of his clinical occupation spanning greater than 35 years of energetic study. particularly, ten articles are targeting issues like database dependency conception, object-oriented databases, triggers, summary kingdom machines, database and data platforms layout, internet semantics, and company processes.
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Additional resources for Conceptual Modelling and Its Theoretical Foundations: Essays Dedicated to Bernhard Thalheim on the Occasion of His 60th Birthday
Example text
The first two of them prove that if a sequence of non-negative numbers is given with a fixed sum and an upper bound c is given on them then the sum of their squares is maximized for a choice with (one exception) all members = c or 0. We give the proof for sake of completeness. Lemma 1. Let the real numbers 0 ≤ a, b, c satisfy the inequalities b ≤ a ≤ c ≤ a + b. Then (10) a2 + b2 ≤ c2 + (a + b − c)2 holds. Random Databases with Correlated Data 33 Proof. Consider the function x2 + (a + b − x)2 . It is increasing from a+b 2 .
Addison-Wesley, Reading (1995) 2. : Relational Database Theory. Benjamin/Cummings, Redwood City (1993) 28 J. Biskup 3. : Boyce-Codd normal form and object normal forms. Inf. Process. Lett. 32(1), 29–33 (1989) 4. : On relational database schemes having unique minimal key. Elektronische Informationsverarbeitung und Kybernetik 27(4), 217–225 (1991) 5. : Reducing inference control to access control for normalized database schemas. Inf. Process. Lett. 106(1), 8–12 (2008) 6. : Reasoning about keys for XML.
Components, and n = 300 observations. Here the √ R´enyi entropy h3 = log( 12π). 2868) tests allow to accept the hypothesis of standard normality for the residuals, Nsim = 300. 44 D. K¨ allberg, N. Leonenko, and O. 4 Histogram of res −4 −2 0 2 4 −3 res −2 −1 0 1 2 3 Theoretical Quantiles Fig. 2. Two Gaussian distributions; N (0, 3/2), N (2, 1/2), n1 = 100, n2 = 200, = 1/10. Standard normal approximation for the empirical distribution (histogram) for the normalized residuals, Nsim = 300. Example 4.