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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
question which of these are partitions of the set of real numbersa the negative real numbers 0 the positive real
question show that the partition of the set of people living in the united states consisting of subsets of people
question show that the partition of the set of bit strings of length 16 formed by equivalence classes of bit strings
question requires calculusa show that the relation r on the set of all differentiable functions from r to r consisting
question let r be the relation consisting of all pairs x y such that x and y are strings of uppercase and lowercase
question show that the relation r consisting of all pairs x y such that x and y are bit strings of length three or more
question define three equivalence relations on the set of students in your discrete mathematics class different from
question adapt warshalls algorithm to find the reflexive closure of the transitive closure of a relation on a set with
question let r be the relation on the set of all sets of real numbers such that srt if and only if s and t have the
question suppose that a is a nonempty set and f is a function that has a as its domain let r be the relation on a
question show that the relation r consisting of all pairsx ysuch that x and y are bit strings of length three or more
question find the smallest relation containing the relation in example that is both reflexive and symmetricexample what
question find the directed graphs of the symmetric closures of the relations with directed graphs shown in exercises
question how can the directed graph representing the symmetric closure of a relation on a finite set be constructed
question draw the directed graph of the reflexive closure of the relations with the directed graph