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718 Show that the decomposition in Exercise 72 is not a dependency-preserving decomposition 719 Show that it is possible to ensure that a dependency-preserving decomposition into 3NF is a lossless-join decomposition by guaranteeing that at least one schema contains a candidate key for the schema being decomposed (Hint: Show that the join of all the projections onto the schemas of the decomposition cannot have more tuples than the original relation) 720 List the three design goals for relational databases, and explain why each is desirable 721 Give a lossless-join decomposition into BCNF of schema R of Exercise 72 722 Give an example of a relation schema R and set F of functional dependencies such that there are at least three distinct lossless-join decompositions of R into BCNF 723 In designing a relational database, why might we choose a non-BCNF design 724 Give a lossless-join, dependency-preserving decomposition into 3NF of schema R of Exercise 72 725 Let a prime attribute be one that appears in at least one candidate key Let and be sets of attributes such that holds, but does not hold Let A be an attribute that is not in , is not in , and for which A holds We say that A is transitively dependent on We can restate our de nition of 3NF as follows: A relation schema R is in 3NF with respect to a set F of functional dependencies if there are no nonprime attributes A in R for which A is transitively dependent on a key for R Show that this new de nition is equivalent to the original one 726 A functional dependency is called a partial dependency if there is a proper subset of such that We say that is partially dependent on A relation schema R is in second normal form (2NF) if each attribute A in R meets one of the following criteria: It appears in a candidate key It is not partially dependent on a candidate key Show that every 3NF schema is in 2NF (Hint: Show that every partial dependency is a transitive dependency) 727 Given the three goals of relational-database design, is there any reason to design a database schema that is in 2NF, but is in no higher-order normal form (See Exercise 726 for the de nition of 2NF).



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single-segment topology shown is not optimal, however, because all traffic must traverse the entire network By segmenting the network into two separate collision domains and isolating the A client-server traffic from the B client server traffic, the contention for the 10 Mbps available Ethernet bandwidth is reduced by half (Figure 152) Only a minimal amount of traffic must pass between segments The device used to segment the network in Figure 152 is a router, which is a device used to forward data packets from one destination to another based on the addressing information contained in the Network layer protocol, layer 3 of the OSI model

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The following error may occur if an SSL handshake fails: Error: SSL handshake from client failed Issue: Handshake errors usually occur when the client does not have the root CA in the Trusted Root Certificates bin in its physical computer certificate store (as opposed to registry store) Resolution: The root CA must be trusted in the physical certificate store of the Service machine and all clients (agent and console)

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728 Give an example of a relation schema R and a set of dependencies such that R is in BCNF, but is not in 4NF 729 Explain why 4NF is a normal form more desirable than BCNF 730 Explain how dangling tuples may arise Explain problems that they may cause

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The rst discussion of relational-database design theory appeared in an early paper by Codd [1970] In that paper, Codd also introduced functional dependencies, and rst, second, and third normal forms Armstrong s axioms were introduced in Armstrong [1974] Ullman [1988] is an easily accessible source of proofs of soundness and completeness of Armstrong s axioms Ullman [1988] also provides an algorithm for testing for lossless-join decomposition for general (nonbinary) decompositions, and many other algorithms, theorems, and proofs concerning dependency theory Maier [1983] discusses the theory of functional dependenciesGraham et al [1986] discusses formal aspects of the concept of a legal relation BCNF was introduced in Codd [1972] The desirability of BCNF is discussed in Bernstein et al [1980a] A polynomial-time algorithm for BCNF decomposition appears in Tsou and Fischer [1982], and can also be found in Ullman [1988] Biskup et al [1979] gives the algorithm we used to nd a lossless-join dependency-preserving decomposition into 3NF Fundamental results on the lossless-join property appear in Aho et al [1979a] Multivalued dependencies are discussed in Zaniolo [1976] Beeri et al [1977] gives a set of axioms for multivalued dependencies, and proves that the authors axioms are sound and complete Our axiomatization is based on theirs The notions of 4NF, PJNF, and DKNF are from Fagin [1977], Fagin [1979], and Fagin [1981], respectively Maier [1983] presents the design theory of relational databases in detail Ullman [1988] and Abiteboul et al [1995] present a more theoretic coverage of many of the dependencies and normal forms presented here See the bibliographical notes of Appendix C for further references to literature on normalization

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