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please help with this math problem i am very lost on it. thanks! 4. Consider the divisibility partial order on the set 1...
Q-4. [8+3+3+3+3 marks] Let be the partial order relation defined on , where means. a) Draw...
Q-4. [8+3+3+3+3 marks] Let be the partial order relation defined on , where means. a) Draw the Hasse diagram for . b) Find all maximal and minimal elements. c) Find lub({6,12}). a) Find glb({6,12}). e) What is the least element? The greatest element? Q-4. [8+3+3+3+3 marks] Let R be the partial order relation defined on A = {2,3, 6, 9, 10, 12, 14, 18, 20}, where xRy means x|y. a) Draw the Hasse diagram for R. b) Find all maximal...
Show your work, please 4. Partial Orders Let P be the collection of all subsets of...
Show your work, please
4. Partial Orders Let P be the collection of all subsets of X = {a,b,c,d} that have at least two elements. (So {a,c} € P, but {b} P.) Consider the subset relation C as a partial order on P. For example, {a,b} = {a,b,c}. Draw the Hasse diagram, and find any maximum/minimum elements, and maximal/minimal elements.
Find a compatible total order for the divisibility relation on the set {1, 2, 3, 6,...
Find a compatible total order for the divisibility relation on the set {1, 2, 3, 6, 8, 12, 24, 36}. You need to draw the Hasse diagram first.
Problem 6. Consider the partial order on a, b, c, d, e, f,g, h\ determined by...
Problem 6. Consider the partial order on a, b, c, d, e, f,g, h\ determined by the fol- lowing Hasse diagram, XI a. and answer the following about (a) Is it true that d g? (b) Find all minimal and maximal elements. c) Are there any maximum elements? d) Find all common upper bounds of e and f (that is, find every q such that eq and f q). e) Find the least upper bound of c and e
7. 12 M:1.5 M Each Answer these questions for the partial order of Hasse diagram. [CLO...
7. 12 M:1.5 M Each Answer these questions for the partial order of Hasse diagram. [CLO # 31 0 0 0 a) Find the maximal elements. b) Find the minimal elements c) Is there a greatest element? d) Is there a least element? e) Find all upper bounds of (A, B, C). f) Find the least upper bound of {A, B, C), if it exists. g) Find all lower bounds of {F, G, H). h) Find the greatest lower bound...
3. (a Draw a diagram to represent the | (divides) partial order on the set {1,...
3. (a Draw a diagram to represent the | (divides) partial order on the set {1, 2, 3, 4, 5, 6 7,8,9, 10, (b) Identify all minimal, minimum, maximal, and maximum elements in the diagram
The drawing below shows a Hasse diagram for a partial order on the set {A, B,...
The drawing below shows a Hasse diagram for a partial order on the set {A, B, C, D, E, F, G, H, I, J} D G H E Figure 3: A Hasse diagram shows 10 vertices and 8 edges. The vertices, rep- resented by dots, are as follows: vertex J; vertices H and I are aligned vertically to the right of vertex J; vertices A, B, C, D, and E forms a closed loop, which is to the right of...
Partial-ordered relation
Given a partial - ordered relation {(a, b) a bisects b} on the set {2, 4, 6, 8, 10, 60, 120, 240). a. Draw a Hasse diagram of poset b. Look for the maximum element. c. Look for the minimal elements. d. If so, look for the greatest element - in the poset? e. If so, look for the smallest element in the poset? f. Find UB from (30, 60) g. Find the LB of (30, 60) h. Find LUB...
discrete math Need 7c 9ab 10 15 16 17 (7) Consider the following matrices. Compute the...
discrete math
Need 7c 9ab 10 15 16 17
(7) Consider the following matrices. Compute the following matrices A=[ ]B=[ 1 c-[! (a) CA (b) BAA (c) AOC (9) Determine if the following statements are True or False. If the statement is False, explain why. (a) Consider A={1,2,3,4,5). Do A1 = {1,3,5}, A2 = {2,4}. (i) Show that P ={A1, A2} forms a partition of A. (ii) Construct the matrix of the relation R corresponding to P (b) Consider A...
2. A binary string s a finite sequence u = ala2 . . . an, where each ai įs either 0 or 1. In this case n is the length...
2. A binary string s a finite sequence u = ala2 . . . an, where each ai įs either 0 or 1. In this case n is the length of the string v. The strings ai,aia2,...,ai...an-1,aan are all prefixes of v. On the set X of all binary strings consider the relations Ri and R2 defined as follows R, = {(u, u) | w and u have the same length } {(w, u) | w is a prefix of...
Q-4. [8+3+3+3+3 marks] Let be the partial order relation defined on , where means. a) Draw the Hasse diagram for . b) Find all maximal and minimal elements. c) Find lub({6,12}). a) Find glb({6,12}). e) What is the least element? The greatest element? Q-4. [8+3+3+3+3 marks] Let R be the partial order relation defined on A = {2,3, 6, 9, 10, 12, 14, 18, 20}, where xRy means x|y. a) Draw the Hasse diagram for R. b) Find all maximal...
Show your work, please
4. Partial Orders Let P be the collection of all subsets of X = {a,b,c,d} that have at least two elements. (So {a,c} € P, but {b} P.) Consider the subset relation C as a partial order on P. For example, {a,b} = {a,b,c}. Draw the Hasse diagram, and find any maximum/minimum elements, and maximal/minimal elements.
Problem 6. Consider the partial order on a, b, c, d, e, f,g, h\ determined by the fol- lowing Hasse diagram, XI a. and answer the following about (a) Is it true that d g? (b) Find all minimal and maximal elements. c) Are there any maximum elements? d) Find all common upper bounds of e and f (that is, find every q such that eq and f q). e) Find the least upper bound of c and e
7. 12 M:1.5 M Each Answer these questions for the partial order of Hasse diagram. [CLO # 31 0 0 0 a) Find the maximal elements. b) Find the minimal elements c) Is there a greatest element? d) Is there a least element? e) Find all upper bounds of (A, B, C). f) Find the least upper bound of {A, B, C), if it exists. g) Find all lower bounds of {F, G, H). h) Find the greatest lower bound...
3. (a Draw a diagram to represent the | (divides) partial order on the set {1, 2, 3, 4, 5, 6 7,8,9, 10, (b) Identify all minimal, minimum, maximal, and maximum elements in the diagram
The drawing below shows a Hasse diagram for a partial order on the set {A, B, C, D, E, F, G, H, I, J} D G H E Figure 3: A Hasse diagram shows 10 vertices and 8 edges. The vertices, rep- resented by dots, are as follows: vertex J; vertices H and I are aligned vertically to the right of vertex J; vertices A, B, C, D, and E forms a closed loop, which is to the right of...
discrete math
Need 7c 9ab 10 15 16 17
(7) Consider the following matrices. Compute the following matrices A=[ ]B=[ 1 c-[! (a) CA (b) BAA (c) AOC (9) Determine if the following statements are True or False. If the statement is False, explain why. (a) Consider A={1,2,3,4,5). Do A1 = {1,3,5}, A2 = {2,4}. (i) Show that P ={A1, A2} forms a partition of A. (ii) Construct the matrix of the relation R corresponding to P (b) Consider A...
2. A binary string s a finite sequence u = ala2 . . . an, where each ai įs either 0 or 1. In this case n is the length of the string v. The strings ai,aia2,...,ai...an-1,aan are all prefixes of v. On the set X of all binary strings consider the relations Ri and R2 defined as follows R, = {(u, u) | w and u have the same length } {(w, u) | w is a prefix of...
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