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Discrete math
Çșȇ ʛấẗẻ
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Sep 14, 2023
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equivalence-class
discrete-mathematics
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aditi19
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Apr 23, 2019
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Rosen 7e Exercise-9.5 Question no-9 page no-615
Suppose that $A$ is a nonempty set, and $f$ is a function that has $A$ as its domain. Let $R$ be the relation on $A$ consisting of all ordered pairs $(x, y)$ such that $f (x)=f (y)$ $a)$ Show that $R$ is an equivalence relation on $A$ $b)$ What are the equivalence classes of $R?$
aditi19
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kenneth-rosen
discrete-mathematics
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Pooja Khatri
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Discrete Mathematics
Jul 13, 2018
849
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UGC NET CSE | July 2018 | Part 2 | Question: 89
Which of the following is an equivalence relation on the set of all functions from Z to Z? $\{ f, \:g) \mid f(x) - g(x) =1 \: \forall \: x \in \: Z \}$ $\{ f, \:g) \mid f(0) = g(0) \text{ or } f(1) = g(1) \}$ $\{ f, \:g) \mid f(0) = g(1) \text{ and } f(1) = g(0) \}$ $\{ f, \:g) \mid f(x) - g(x) =k \text{ for some } k \in Z \}$
Pooja Khatri
asked
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Discrete Mathematics
Jul 13, 2018
by
Pooja Khatri
849
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ugcnetcse-july2018-paper2
discrete-mathematics
equivalence-class
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Shubhanshu
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Set Theory & Algebra
Nov 15, 2017
451
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Equivalence Relation
Which of the above are true. I think only 1st one is true. But the answer given is all are true.
Shubhanshu
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Set Theory & Algebra
Nov 15, 2017
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Shubhanshu
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discrete-mathematics
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