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Discrete Math Discrete Mathematics

11/11/20

Sort the list (3,5,4,1,2)?

Sort the list(3,5,4,1,2) usinga. selection sort,b. insertion sort.

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Discrete Math Discrete Mathematics

11/11/20

describe an algorithm?

Describe an algorithm (write the pseudocode) that determines whether a function from a finite set to another finite set is one-to-one

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Discrete Math Discrete Mathematics

11/11/20

Describe an algorithm ?

Describe an algorithm (write the pseudocode) that produces the maximum, minimum, median and mean of a set of three integers.(The median is the middle element in the list when the integers are... more

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Discrete Math Discrete Mathematics

11/11/20

Given the pseudocode

procedure thing(a_1,a_2,a_3,...a_n:integers) sum1 := 0 sum2 := 0for i := 1 to n if (a_i > 0), sum1 := sum1 + a_i if (a_i < 0), sum2 := sum2 + a_iend-forreturn(sum1,sum2)For the set of values... more

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Discrete Math Discrete Mathematics

11/11/20

Let S={-1,0,2,4,7}. Find f(S) is ?

a) f(x)=1b) f(x)= 2x+1c) f(x)=[x/5]d) f(x)=[(x^2+1)/3]

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Discrete Math Discrete Mathematics

11/11/20

Determine whether each of these functions is a bijection from R to R?

a) f(x)=-3x+4b) f(x)=-3x^2+7c) f(x)=x+1/x+2d) f(x)=x^5+1

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Discrete Math

11/09/20

Consider strings of length n, n ≥ 1, over the set {a, b, c, d}. What is the correct answer to the question in Description below?

Consider strings of length n, n ≥ 1, over the set {a, b, c, d}. If a string of length thirteen over {a, b, c, d} is chosen at random, what is the probability that it contains at least one pair of... more

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Discrete Math

11/09/20

Question Prompt in Description below, what is the correct answer to each of the questions?

Seven new employees, two of whom are married to each other, are to be assigned seven desks that are lined up in a row. If the assignment of employees to desks is made randomly, what is the... more

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Discrete Math

11/09/20

How many bit strings of length 7 begin with four 0's?

If a bit string of length 7 begins with four 0's, then _____ positions remain to be filled in. Since each of these positions can be filled with either a 0 or a 1, the number of bit string of... more

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Discrete Math

11/09/20

Show that the interval (0, 1) and the interval (0, 2) in the real line have the same cardinality.

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Discrete Math

11/09/20

Let A be the set of integers, and define a relation R on A by mRn if and only if m − n is a multiple of 5. Show that R is an equivalence relation, and indicate the equivalence classes of R.

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Discrete Math

11/09/20

Let R be the relation on Z given by: for all x, y ∈ Z, xRy if and only if x + y is odd. Determine whether R is reflexive, symmetric, and/or transitive.

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Discrete Math

11/09/20

If f : X → Y and g : Y → Z are functions and g ◦ f is onto, must f be onto?

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Discrete Math

11/09/20

Give a counterexample to show that A − (B − C) = (A − B) − C is not true for all sets A, B, C.

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Discrete Math

11/09/20

Write the first 4 terms of the sequence defined by and then solve the following recurrence relation (in Description below).

Write the first 4 terms of the sequence defined by and then solve the following recurrence relation: for n ≥ 1, an = 2an−1 + 5, where a0 = 1.

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Discrete Math Math Python Discrete Mathematics

11/07/20

Discrete Mathematics, data structure question concerning Trees and BFS.

1)Without drawing them all, calculate how many spanning trees the graph has.2)Which spanning tree would result from doing a breadth first search from the vertex A, using the natural alphabetical... more

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Discrete Math

11/06/20

What is the correct answer to listing the distinct equivalence classes of R in set-roster notation?

Let A equal the set of all strings of 0's, 1's, and 2's that have length 4 and for which the sum of the characters in the string is less than or equal to 2. Define a relation R on A as follows:For... more

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Discrete Math

11/06/20

What is the correct answer to the distinct equivalence classes of R?

Let A equal the set of all strings of 0's, 1's, and 2's that have length 4 and for which the sum of the characters in the string is less than or equal to 2. Define a relation R on A as follows:For... more

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Discrete Math

11/06/20

What is the correct answer to the distinct equivalence classes of R?

Let A = {−5, −4, −3, −2, −1, 0, 1, 2, 3} and define a relation R on A as follows:For all m, n ∈ A, m R n ⇔ 5|(m2 − n2).It is a fact that R is an equivalence relation on A. Use set-roster notation... more

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Discrete Math

11/06/20

What is the correct answer to the distinct equivalence classes of R?

Let X = {−1, 0, 1} and A = 𝒫(x) and define a relation R on A as follows:For all sets s and t in 𝒫(x), s R t ⇔ the sum of the elements in s equals the sum of the elements in t.It is a fact... more

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Discrete Math

11/04/20

There are as many equivalence classes as there are which of the following? (Select all that apply.)

Answer Choices:A. distinct horizontal lines in the planeB. distinct integersC. distinct real numbersD. distinct vertical lines in the planeE. distinct lines in the plane whose coordinates equal... more

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Discrete Math

11/04/20

How many distinct equivalence classes of R are there?

Let A be the set of all statement forms in the three variables p, q, and r, and let R be the relation defined on A as follows.For all S and T in A, S R T ⇔ S and T have the same truth table.There... more

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Discrete Math

11/04/20

Prove that R is an equivalence relation. Show that it satisfies all the properties you selected in part (a), and submit your proof as a free response.

Let A be the set of all statement forms in the three variables p, q, and r, and let R be the relation defined on A as follows.For all S and T in A, S R T ⇔ S and T have the same truth table.Prove... more

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Discrete Math

11/02/20

What is the correct answer to the following questions?

Let A = {−3, −2, −1, 0, 1, 2, 3, 4, 5, 6} and define a relation R on A as follows:For all x, y A, x R y ⇔ 3|(x − y).It is a fact that R is an equivalence relation on A. Use set-roster notation to... more

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Discrete Math

11/02/20

Use set-roster notation to list the distinct equivalence classes of R.

Let A = {−3, −2, −1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows:For all m, n ∈ A, m R n ⇔ 3|(m2 − n2).It is a fact that R is an equivalence relation on A. Use set-roster... more

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Sort the list (3,5,4,1,2)?

describe an algorithm?

Describe an algorithm ?

Given the pseudocode

Let S={-1,0,2,4,7}. Find f(S) is ?

Determine whether each of these functions is a bijection from R to R?

Consider strings of length n, n ≥ 1, over the set {a, b, c, d}. What is the correct answer to the question in Description below?

Question Prompt in Description below, what is the correct answer to each of the questions?

How many bit strings of length 7 begin with four 0's?

Show that the interval (0, 1) and the interval (0, 2) in the real line have the same cardinality.

Let A be the set of integers, and define a relation R on A by mRn if and only if m − n is a multiple of 5. Show that R is an equivalence relation, and indicate the equivalence classes of R.

Let R be the relation on Z given by: for all x, y ∈ Z, xRy if and only if x + y is odd. Determine whether R is reflexive, symmetric, and/or transitive.

If f : X → Y and g : Y → Z are functions and g ◦ f is onto, must f be onto?

Give a counterexample to show that A − (B − C) = (A − B) − C is not true for all sets A, B, C.

Write the first 4 terms of the sequence defined by and then solve the following recurrence relation (in Description below).

Discrete Mathematics, data structure question concerning Trees and BFS.

What is the correct answer to listing the distinct equivalence classes of R in set-roster notation?

What is the correct answer to the distinct equivalence classes of R?

What is the correct answer to the distinct equivalence classes of R?

What is the correct answer to the distinct equivalence classes of R?

There are as many equivalence classes as there are which of the following? (Select all that apply.)

How many distinct equivalence classes of R are there?

Prove that R is an equivalence relation. Show that it satisfies all the properties you selected in part (a), and submit your proof as a free response.

What is the correct answer to the following questions?

Use set-roster notation to list the distinct equivalence classes of R.

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