Problem 1. Answer the following questions. 1(a) Is this relation partial order? If yes, is it a total order? Justify your answer: The domain is a group of brothers and sisters. Ry if y is at least as old as r. You can assume that all the brothers and sisters have the same mother, so no two of them were born at exactly the same time. 1(b) Is this relation an equivalence relation? If yes, describe the partition defined by the equivalence classes. Justify your answer: The domain is the set of all integers. rEy if r + y is even. (An integer z is even if z = 2k for some integer k.)

Problem 1. Answer the following questions. 1(a) Is this relation partial order? If yes, is it a total order? Justify your answer: The domain is a group of brothers and sisters. Ry if y is at least as old as r. You can assume that all the brothers and sisters have the same mother, so no two of them were born at exactly the same time. 1(b) Is this relation an equivalence relation? If yes, describe the partition defined by the equivalence classes. Justify your answer: The domain is the set of all integers. rEy if r + y is even. (An integer z is even if z = 2k for some integer k.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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