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Mathematics, 28.05.2021 14:10, devinr36
Identifying partial, strict, and total orders. For each relation, indicate whether the relation is a partial order, a strict order, or neither. If the relation is a partial or strict order, indicate whether the relation is also a total order. Justify your answers.(a) The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears as a substring of y. x is a substring of y if all the letters in x appear in consecutive order somewhere in y. For example, "logical" is substring of "topological" because the letters l-o-g-i-c-a-l appear consecutively in order in the word "topological". However, "local" is not a substring of "topological" because the letters l-o are separated from c-a-l by the letters g and i.(b) The domain is the set of all cell phone towers in a network. Two towers can communicate if they are within a distance of three miles from each other. Tower x is related to tower y if x can send information to y through a path of communication links. You can assume that there are at least two towers that are within three miles of each other.(c) The domain is the set of all positive integers. x is related to y if y = 3·n·x, for some positive integer n.(d) The domain is the set of all runners in a race. x is related to y if x beat y in the race. No two players tied.(e) The domain is the set of all runners in a race. x is related to y if x beat y in the race. At least two runners in the race tied.(f) S = {a, b, c, d}. The domain is P(S), the power set of S. For X, Y that are subsets of S, X is related to Y if |X| ≤ |Y|.(g) S = {a, b, c, d}. The domain is P(S), the power set of S. For X, Y that are subsets of S, X is related to Y if |X| < |Y|.
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Mathematics, 21.06.2019 19:00, megababe04
What are the solutions of the equation? 16x^2 + 24x + 5 = 5 a. 1/4, 5/4 b. -1/4, -5/4 c. -1/4, 5/4 d. 1/4 , -5/4
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Mathematics, 22.06.2019 00:50, genyjoannerubiera
Atravel agent is booking a trip to england, scotland, ireland, and france for a group of senior citizens. the agent sent surveys to the group, asking which countries they would like to visit, in order, and created the shown preference schedule (e = england, i = ireland, s = scotland, f = france). which country is the condorcet winner? number of votes 15 12 16 19 1st f e e i 2nd e s i s 3rd s i s e 4th i f f f 1. scotland 2. england 3. france 4.ireland
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Identifying partial, strict, and total orders. For each relation, indicate whether the relation is a...
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