Let A = Σ*, and let R be the relation "shorter than." Determine whether or not...

Let A = Σ*, and let R be the relation "shorter than." Determine whether or not the given relation R, on the set A, is reflexive, symmetric, antisymmetric, or transitive.

Expert Solution

Colby Messinger answered 1 year ago

You are attempting to determine whether you are taller or shorter than the average student currently...

You are attempting to determine whether you are taller or shorter than the average student currently enrolled in your university. You have just learned about sampling and have decided to sample students to determine the average height at your university. Required: What are some advantages and disadvantages of using sampling to answer this question as opposed to examining the entire population? Give some other examples of when you would be more likely to use sampling (applied to this particular example)...

You are attempting to determine whether you are taller or shorter than the average student currently...

You are attempting to determine whether you are taller or shorter than the average student currently enrolled in your university. You have just learned about sampling and have decided to sample students to determine the average height at your university. Required: What are some advantages and disadvantages of using sampling to answer this question as opposed to examining the entire population? Give some other examples of when you would be more likely to use sampling (applied to this particular example)...

Determine whether the relation R on the set of all people is reflexive, symmetric, antisymmetric, and/or...

Determine whether the relation R on the set of all people is reflexive, symmetric, antisymmetric, and/or transitive, where (a, b) ∈ R if and only if a) a is taller than b. b) a and b were born on the same day.

Let x be a set and let R be a relation on x such x is...

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Let S = {1,2,3,4} and let A = SxS Define a relation R on A by...

Let S = {1,2,3,4} and let A = SxS Define a relation R on A by (a,b)R(c,d) iff ad = bc Write out each equivalence class (by "write out" I mean tell me explicitly which elements of A are in each equivalence class) Hint: |A| = 16 and there are 11 equivalence classes, so there are several equivalence classes that consist of a single element of A.

Let A = R x R, and let a relation S be defined as: “(x1, y1)...

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Let R be the relation on Z+× Z+ such that (a, b) R (c, d) if...

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Let R be the relation on the set of people given by aRb if a and...

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Let R be a relation on a set that is reflexive and symmetric but not transitive?...

Let R be a relation on a set that is reflexive and symmetric but not transitive? Let R(x) = {y : x R y}. [Note that R(x) is the same as x / R except that R is not an equivalence relation in this case.] Does the set A = {R(x) : x ∈ A} always/sometimes/never form a partition of A? Prove that your answer is correct. Do not prove by examples.

Let S = {2 k : k ∈ Z}. Let R be a relation defined on...

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Let A = Σ*, and let R be the relation "shorter than." Determine whether or not...

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