Al/ Which of these relations on {0, 1 , 2, 3 } are equivalence relations, why? a) R1= {(0, 0), (1, 1), (2, 2), (3 , 3)} b) R2= {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3 , 2), (3, 3)} c) R3= {(0, 0), (1,1), (1, 2), (2, 1 ), (2, 2), (3 , 3)} d) R4= {(0, 0), ( 1 ,1 ), ( 1 , 3), (2, 2), (2, 3), (3 , 1 ), (3 , 2),(3 , 3)} e) R5={(0, 0), (0, 1 ), (0, 2), ( 1 , 0), (1,1), (1,2), (2, 0), (2, 2), (3 , 3)}

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Н.W:
A// Which of these relations on {0, 1 , 2, 3 } are equivalence relations,
why?
а) R13 {(0, 0), (1,1), (2, 2), (3, 3)};
b) R2= {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3 , 2), (3, 3)}
с) R33 ((0, 0), (1, 1), (1,2), (2, 1), (2, 2), (3 , 3)}
d) R4= {(0, 0), ( 1,1), (1, 3), (2, 2), (2, 3), (3 , 1 ), (3 , 2),(3 , 3)}
e) R5={(0, 0), (0, 1 ), (0, 2), ( 1, 0), (1,1), (1, 2), (2, 0), (2, 2), (3 , 3)}
B// Find by relying on the above relationships
1- R3 o R2
2- R4 o R5
3- R1 U R3
4- R2 n R5
5- R1 - R5
C// let A= {1,2}, B-{2,4,6}, R: A? =B , then find R
Transcribed Image Text:Н.W: A// Which of these relations on {0, 1 , 2, 3 } are equivalence relations, why? а) R13 {(0, 0), (1,1), (2, 2), (3, 3)}; b) R2= {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3 , 2), (3, 3)} с) R33 ((0, 0), (1, 1), (1,2), (2, 1), (2, 2), (3 , 3)} d) R4= {(0, 0), ( 1,1), (1, 3), (2, 2), (2, 3), (3 , 1 ), (3 , 2),(3 , 3)} e) R5={(0, 0), (0, 1 ), (0, 2), ( 1, 0), (1,1), (1, 2), (2, 0), (2, 2), (3 , 3)} B// Find by relying on the above relationships 1- R3 o R2 2- R4 o R5 3- R1 U R3 4- R2 n R5 5- R1 - R5 C// let A= {1,2}, B-{2,4,6}, R: A? =B , then find R
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