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
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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)}
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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