Prove that these relations on the set of all functions from Z to Z are equiva- lence relations. Describe the equivalence classes. (a) R6= {(f,g) | ƒ (0) = g(0)}

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Q: 3. Which of these relations on the set of all functions from Z to Z are equivalence relations?…

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Q: 3. Which of these relations on the set of all functions from Z to Z are equivalence relations?…

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Q: 7. (6 points) Let T be a relation defined on the set A = {1,2,3} such that T = {(1,1), (1,2), (2,2),…

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Q: (i) Give an example of a relation S on A = {1,2, 3, 4} with S is reflexive, not symmetric and not…

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Q: Discrete math Let S = R^2 and define the relation R as follows (x1, y1)R(x2, y2) ⇔ (x1)^2+(y1)^2 =…

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Q: consider the relation R on R, where R = {(a, b) | a ≤ b+1}. (a) Is the relation R reflexive,…

A: i.Let  then So the relation  holds for all .So  is reflexive.ii.Since the relation is reflexive so…

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A: Solution:

Q: 22) (a) Show that the relation {(0,0), (1,1),(1,2), (2,1), (2,2), (3,3)} is an equivalence relation…

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Q: Let R be a relation on the set of all functions from Z to Z defined by: R = {(f,9)|f(1) = g(3) or…

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Q: QUESTION 2 Define a relation on Nx N as follows: (a, b) R (c,d) a+d=b+c (2.1) Is (3,6) R (3,5)?…

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A: , and is a relation on .

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Q: Which of these relations on the set of all functions from ℤ to ℤ are equivalence relations?…

A: (a) R = {(f, g) | f (1) = g(1)}        Now, as f(1) = f(1), thus (f, f) ∈ R.              Hence, R…

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Q: Draw the diagraph of the relation R, where the relation R on {1,2,3,4} defined by (x,y) ∊ R if x^2…

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Q: (d) Give an example of an equivalence relation on the set f1,2, 3} with exactly two equivalence…

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