Recent questions tagged lossless-join

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Let $\text{R (A, B, C, D)}$ ... join, but is dependency preservingdoes not give a lossless join and is not dependency preserving
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Is minimal set of functional dependency for a functional dependency set is always unique???
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R is divided into R1 and R2 ,but since there is no common attribute in R1 and R2, so it should form lossy join,as for loseless join the common attribute ... .But here the image above,it is comming as loseless join.Can someone please check?
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$R(X,Y,Z,W) is\ decomposed\ into \\ R_1(X,Y)\\ R_2(Y,Z)\\ R_3(Y,W).\\The\ FDs\ are\ :\\ X -> Y,\\ Z->Y,\\ Y->W \\ Find\ whether\ the\ decomposition\ is\ lossless\ or\ lossy\ ?$
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Consider the relation $R(X\;Y\;W\;M\;E\;G),$with $FD$ ... $P_2$ are lossless-join decompositions.$P_1$ is lossless-join decomposition but not $P_2$.
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State true or false:-Symbol " ^ " stands for an intersection AND letters in bold are the candidate key of the respective table.1) R1(A, B, C) ^ R2(B ... , tell what will be the candidate key after performing join each time and at the end.
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R(ABCDEG) and FD sets {AB->C, AC->B, AD->E, B->D, BC->A, E->G} D=( ABC, ACDE, ADG)
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If a relation is decomposed into more than two relations then what is the correct method to check whether the decomposition is lossless or not? Can we use R1⋂R2→R1 or R1⋂R2→R2 pairwise for the decomposition or is there any other method?
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Tell whether the following decomposition of relations lossless and dependency preserving or not.1. R(ABCDEFGHIJ) and FD setsAB->C, A->DE, B->F, F->GH, D->IJa) D1"={ DIJ, ACE, FGH, ... ->B, AD->E, B->D, BC->A, E->Ga) D=( ABC, ACDE, ADG)
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The decomposition of relation R with FD set F into R1 and R2 has lossless join property iffR1 $\cap$ R2 $\rightarrow$ R1 $\in$ F$^+$ ... check for lossless join property ?Answers with reference(s) will be much appreciated. Thanks.
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