Reference no: EM131167490
a) Define the transitive closure of a relation.
b) Can the transitive closure of a relation be obtained by including all pairs (a, c) such that (a, b) and (b, belong to the relation?
c) Describe two algorithms for finding the transitive closure of a relation.
d) Find the transitive closure of the relation {(1,1), (1,3), (2,1), (2,3), (2,4), (3,2), (3,4), (4,1)}.
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Create side by side box plots of total cost
: Create side-by-side box plots of total cost for the four regions.- Does the positive skew ness in these box plots invalidate the confidence interval procedure used?
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Define the symmetric closure of a relation
: Find the reflexive closure and the symmetric closure of the relation {(1, 2), (2, 3), (2, 4), (3, 1)} on the set {1, 2, 3, 4}.
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Potential output due to the slow recovery of the economy
: In 2012, the U.S. inflation rate was 2.1% and output was 4.8% below its long-run potential output due to the slow recovery of the economy. Assuming that the inflation target is 2% what would be the federal funds target rate if the FOMC used the Taylo..
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Difference between the medium and low customer categories
: Because of the way these customer categories are defined, you would probably expect these mean differences to be positive.- Is this what the data indicate?
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Define the transitive closure of a relation
: Can the transitive closure of a relation be obtained by including all pairs (a, c) such that (a, b) and (b, belong to the relation?
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What are the equivalence classes of an equivalence relation
: What are the equivalence classes of the equivalence relation in Question 11(b)?
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Discuss the impact ethics plays in policing
: Discuss/debate with your classmates the ideologies associated with utilitarianism and deontological ethics concerning human behavior and the ethical or unethical decisions and/or actions of those working in law enforcement.
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Unemployment patterns of adults and teenagers
: Discuss the differences in the unemployment patterns of adults and teenagers. What does this imply about the types of jobs (on average) that the groups are seeking?
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Equilibrium price and each ?rm equilibrium quantity-price
: Consider the following market with 3 ?rms where 1 ?rm has a substantial market share (theleader), and the other 2 ?rms are the minor competitors (followers). All ?rms, however, share thesame technology with the costs MC = 5. The demand is P = 120 − 3..
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