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question a what is a reflexive relationb what is a symmetric relationc what is an antisymmetric relationd what is a
question a what is a relation on a setb how many relations are there on a set with n
question find an ordering of the tasks of a software project if the hasse diagram for the tasks of the project is as
question schedule the tasks needed to build a house by specifying their order if the hasse diagram representing these
question find all compatible total orderings for the poset with the hasse diagram in exerciseexercise list all ordered
question a explain how an n-ary relation can be used to represent information about students at a universityb how can
question a explain how to use a zero-one matrix to represent a relation on a finite setb explain how to use the
question a explain how to use a directed graph to represent a relation on a finite setb explain how to use the directed
question a define the reflexive closure and the symmetric closure of a relationb how can you construct the reflexive
question a define the transitive closure of a relationb can the transitive closure of a relation be obtained by
question a define an equivalence relationb which relations on the set a b c d are equivalence relations and contain a b
question a show that congruence modulo m is an equivalence relation whenever m is a positive integerb show that the
question a what are the equivalence classes of an equivalence relationb what are the equivalence classes of the
question a define a partial orderingb show that the divisibility relation on the set of positive integers is a partial
question draw the hasse diagram for divisibility on the seta 1 2 3 4 5 6 7 8b 1 2 3 5 7 11 13c 1 2 3 6 12 24 36 48d 1 2
question answer these questions for the poset 1 2 4 1 2 1 4 2 4 3 4 1 3 4 2 3 4 subea find the maximal elementsb find
question give a poset that has za a minimal element but no maximal elementb a maximal element but no minimal elementc
question a show that there is exactly one greatest element of a poset if such an element existsb show that there is
question a show that there is exactly one maximal element in a poset with a greatest elementb show that there is
question a show that the least upper bound of a set in a poset is unique if it existsb show that the greatest lower
question is s r a poset if s is the set of all people in the world and a b isin r where a and b are people ifa a is no
question find the lexicographic ordering of these strings of lowercase english lettersa quack quick quicksilver
question which of these collections of subsets are partitions of the set of bit strings of length 8a the set of bit
question a what is the equivalence class of 1 2 with respect to the equivalence relation in exerciseb give an
question which of these are partitions of the set z times z of ordered pairs of integersa the set of pairs x y where x