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(Solved) : Giveumple Relation R Et Functional Depesdenc Rie 2nf Bat 3np Bicnf Justity Betwes Y Sttrib Q33299299 . . .

Giveumple of a relation R and et of functional depesdenc so that Rie in 2NF,bat not in 3NP or BICNF. Justity your betwes ity sttribute Le R-(A B.C.D,E.) with functional dependencie-1A-BCD,B+GD 8 Show that R in oot in BCNF Democstrale a dependency pnseving and ses decompos tion of R into sultiple relations 6 Let R be a relation with functional dependencies F and A, B E R be attribates in R. Prove oe disprove IE the canonical cover Fe of F does not contain any functional dependency of the AB-Z for sone Z C R, then A B-(AB) 7. What is a eparse index Can both the primary and secondary indexes be sparse? Explain your sewers 8 Recall that in a datahase D of transactions, the support of an itemiset A is deficed as the fraction of trassactions in which all items in A were hought Prove or disprove for iteets X sod YXxISY support(X) 2 support(y) 9. Suppose you have a aTB file containing ooe integer per line is a 30-node Hadoop chuster each of which has 1TB hard disk space and 8GB RAM. Write map and mduce functions to compute the top-10 integees from the given file 10. Suppoee Mf is an mx n matrix each of whose columns are 0-1 vectors in n dimensions (m and n are very large). Define a version of min-hash function for hashing the columns of M to hash buckets (one dimession). IE two columns e and w of M has Jaccard similarity s, then what can be said about the min-hash values of v and w? State the property, no proof is required

Giveumple of a relation R and et of functional depesdenc so that Rie in 2NF,bat not in 3NP or BICNF. Justity your betwes it’y sttribute Le R-(A B.C.D,E.) with functional dependencie-1A-BCD,B+GD 8 Show that R in oot in BCNF Democstrale a dependency pnseving and ses decompos tion of R into sultiple relations 6 Let R be a relation with functional dependencies F and A, B E R be attribates in R. Prove oe disprove IE the canonical cover Fe of F does not contain any functional dependency of the AB-Z for sone Z C R, then A B-(AB) 7. What is a eparse index Can both the primary and secondary indexes be sparse? Explain your sewers 8 Recall that in a datahase D of transactions, the support of an itemiset A is deficed as the fraction of trassactions in which all items in A were hought Prove or disprove for iteets X sod YXxISY support(X) 2 support(y) 9. Suppose you have a aTB file containing ooe integer per line is a 30-node Hadoop chuster each of which has 1TB hard disk space and 8GB RAM. Write map and mduce functions to compute the top-10 integees from the given file 10. Suppoee Mf is an mx n matrix each of whose columns are 0-1 vectors in n dimensions (m and n are very large). Define a version of min-hash function for hashing the columns of M to hash buckets (one dimession). IE two columns e and w of M has Jaccard similarity s, then what can be said about the min-hash values of v and w? State the property, no proof is required Show transcribed image text

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