Show that which of these relations on the set of all functions on Z-→Z are equivalence relations? (a) R = {(f,g)|f(1)= g(1)} (b) R = {(f,g)|f (0) = g (0) or f(1)=g(!)}
Show that which of these relations on the set of all functions on Z-→Z are equivalence relations? (a) R = {(f,g)|f(1)= g(1)} (b) R = {(f,g)|f (0) = g (0) or f(1)=g(!)}
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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![1.
Show that which of these relations on the set of all functions on Z→Z are equivalence
relations?
(a) R = {(S,8)|S (1) –g(1)}
(b) R = {(f,g)|f (0) = g (0) or f(1)=g(1)}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3a364c5-a243-474a-aeff-28866fd81937%2Fcf759f23-06d6-408a-8af4-ee811f35428d%2Fk4flxao_processed.png&w=3840&q=75)
Transcribed Image Text:1.
Show that which of these relations on the set of all functions on Z→Z are equivalence
relations?
(a) R = {(S,8)|S (1) –g(1)}
(b) R = {(f,g)|f (0) = g (0) or f(1)=g(1)}
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