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Mathematics, 18.12.2019 06:31 grangian06
Which of these relations on the set of all functions from z to z are equivalence relations? determine the properties of an equivalence relation that the others lack. a) {(f, g)|f(1)=g(1)} b) {(f, g) | f(0) = g(0) or f(1) = g(1)} c) {(f, g)|f(x)−g(x)=1forallx∈z} d) {(f, g)| for some c∈z, for all x∈z, f(x)− g(x) = c} e) {(f, g) | f(0) = g(1) and f(1) = g(0)}
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Which of these relations on the set of all functions from z to z are equivalence relations? determi...
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