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.
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Find a compatible total order for the divisibility relation on
the set {1, 2, 3, 6,...
please help with this math problem i am very lost on it. thanks! 4. Consider the divisibility partial order on the set 1...
please help with this math
problem i am very lost on it. thanks!
4. Consider the divisibility partial order on the set 12, 4, 5,6,9, 10, 15, 27,30, 36, 48, 50, 60) Draw the Hasse diagram. Find any greatest elements, least elements, maximal ele- ments, minimal elements.
4. Consider the divisibility partial order on the set 12, 4, 5,6,9, 10, 15, 27,30, 36, 48, 50, 60) Draw the Hasse diagram. Find any greatest elements, least elements, maximal ele- ments, minimal...
1. (2 marks) Let S 2,3,4,5,6,7,8,9, 10, 11, 12). Let r be the relation on the set S defined as follows: Va,bE S, arb if and only if every prime number that divides a is a factor of b and a S b. The r...
1. (2 marks) Let S 2,3,4,5,6,7,8,9, 10, 11, 12). Let r be the relation on the set S defined as follows: Va,bE S, arb if and only if every prime number that divides a is a factor of b and a S b. The relation T is a partial order relation (you do not need to prove this). Draw the Hasse diagram for T
1. (2 marks) Let S 2,3,4,5,6,7,8,9, 10, 11, 12). Let r be the relation on the...
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...
8. Let S = {1, 2, 3, 4). With respect to the lexicographic order based on...
8. Let S = {1, 2, 3, 4). With respect to the lexicographic order based on the usual less than relation, (a) find all pairs in S x S less than (2,3) (b) find all pairs in Sx S greater than (3, 1) (c) draw the Hasse diagram of the poset (SxS,
3. (a) If aRb is a relation of congruent modulo n, a ≡ b (mod n)....
3. (a) If aRb is a relation of congruent modulo n, a ≡ b (mod
n). Show that R is:
(i) reflexive.
(ii) symmetric.
(iii) transitive.
(b) A is a set and | A | = 8. R is a relation on A, R ⊆ A X
A.
(i) How many different R can be produced?
(ii) How many R are reflexive?
(iii) How many R are symmetric?
(iv) How many R are reflexive and symmetric?
(c) A computer application...
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...
7. Sort the following list into lexicographic order using a three-pass bucket sort: 521, 432, 743...
7. Sort the following list into lexicographic order using a three-pass bucket sort: 521, 432, 743, 422, 752, 750, 430, 541, 544, 400, 751, 525 8. Let S be the set containing the first ten multiples of three, so S 3,6,9,12, 15, 18, 21, 24,27,30]. Order S with the divides relation. What is the covering relation? Draw the Hasse diagram. List the minimal and maximal elements. Specify a chain of longest length
7. Sort the following list into lexicographic order...
10. Verify that the relations given below are quasiorders. List the elements of each equivalence class of the induced equivalence relation, and draw the Hasse (a) On the set (1,2,..., 303, define...
10. Verify that the relations given below are quasiorders. List the elements of each equivalence class of the induced equivalence relation, and draw the Hasse (a) On the set (1,2,..., 303, define mn if and only if the sum of the digits (b) On the set (1.2,3,4,11, 12, 13,14,21,22,23,24), define mn if and only diagram for the induced partial order on the equivalence classes of m is less than or equal to the sum of the digits of n. if...
Question 3. Given the relation Ron A = {a,b,c,d,e) by the pairs R = {(a,b), (cb),...
Question 3. Given the relation Ron A = {a,b,c,d,e) by the pairs R = {(a,b), (cb), (b, d), (e,d)} (a) (2 MARKS) Display the transitive closure R+ of R as a set of pairs. (b) (1 MARK) Explain why R+ is an order. Caution: An order has two defining properties. (c) (2 MARKS) Display the Hasse diagram of the order R+ (d) (1 MARK) Display the set of minimal members of R+.
please help with this math
problem i am very lost on it. thanks!
4. Consider the divisibility partial order on the set 12, 4, 5,6,9, 10, 15, 27,30, 36, 48, 50, 60) Draw the Hasse diagram. Find any greatest elements, least elements, maximal ele- ments, minimal elements.
4. Consider the divisibility partial order on the set 12, 4, 5,6,9, 10, 15, 27,30, 36, 48, 50, 60) Draw the Hasse diagram. Find any greatest elements, least elements, maximal ele- ments, minimal...
1. (2 marks) Let S 2,3,4,5,6,7,8,9, 10, 11, 12). Let r be the relation on the set S defined as follows: Va,bE S, arb if and only if every prime number that divides a is a factor of b and a S b. The relation T is a partial order relation (you do not need to prove this). Draw the Hasse diagram for T
1. (2 marks) Let S 2,3,4,5,6,7,8,9, 10, 11, 12). Let r be the relation on the...
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...
8. Let S = {1, 2, 3, 4). With respect to the lexicographic order based on the usual less than relation, (a) find all pairs in S x S less than (2,3) (b) find all pairs in Sx S greater than (3, 1) (c) draw the Hasse diagram of the poset (SxS,
3. (a) If aRb is a relation of congruent modulo n, a ≡ b (mod
n). Show that R is:
(i) reflexive.
(ii) symmetric.
(iii) transitive.
(b) A is a set and | A | = 8. R is a relation on A, R ⊆ A X
A.
(i) How many different R can be produced?
(ii) How many R are reflexive?
(iii) How many R are symmetric?
(iv) How many R are reflexive and symmetric?
(c) A computer application...
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...
7. Sort the following list into lexicographic order using a three-pass bucket sort: 521, 432, 743, 422, 752, 750, 430, 541, 544, 400, 751, 525 8. Let S be the set containing the first ten multiples of three, so S 3,6,9,12, 15, 18, 21, 24,27,30]. Order S with the divides relation. What is the covering relation? Draw the Hasse diagram. List the minimal and maximal elements. Specify a chain of longest length
7. Sort the following list into lexicographic order...
10. Verify that the relations given below are quasiorders. List the elements of each equivalence class of the induced equivalence relation, and draw the Hasse (a) On the set (1,2,..., 303, define mn if and only if the sum of the digits (b) On the set (1.2,3,4,11, 12, 13,14,21,22,23,24), define mn if and only diagram for the induced partial order on the equivalence classes of m is less than or equal to the sum of the digits of n. if...
Question 3. Given the relation Ron A = {a,b,c,d,e) by the pairs R = {(a,b), (cb), (b, d), (e,d)} (a) (2 MARKS) Display the transitive closure R+ of R as a set of pairs. (b) (1 MARK) Explain why R+ is an order. Caution: An order has two defining properties. (c) (2 MARKS) Display the Hasse diagram of the order R+ (d) (1 MARK) Display the set of minimal members of R+.
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