PROBLEM Part 1. The drawing below shows a Hasse diagram for a partial order on the set {A, B, C, D, E, F, G, H, I, J} 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 vertex F is inclined downward to the right of vertex E. The edges, represented by line segments, between the vertices are as follows: Vertex J is connected to no vertex; a vertical edge connects vertices H and I; a vertical edge connects vertices B and C; and 6 inclined edges connect the following vertices, A and B, C and D, D and E, A and E, E and G, and E and F. (a) What are the minimal elements of the partial order? (b) What are the maximal elements of the partial order? (c) Which of the following pairs are comparable? (A, D), (J, F ), (B, E), (G, F ), (D, B), (C, F ), (H, I), (C, E)

PROBLEM Part 1. The drawing below shows a Hasse diagram for a partial order on the set {A, B, C, D, E, F, G, H, I, J} 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 vertex F is inclined downward to the right of vertex E. The edges, represented by line segments, between the vertices are as follows: Vertex J is connected to no vertex; a vertical edge connects vertices H and I; a vertical edge connects vertices B and C; and 6 inclined edges connect the following vertices, A and B, C and D, D and E, A and E, E and G, and E and F. (a) What are the minimal elements of the partial order? (b) What are the maximal elements of the partial order? (c) Which of the following pairs are comparable? (A, D), (J, F ), (B, E), (G, F ), (D, B), (C, F ), (H, I), (C, E)

Name: See attached, answer section 1 **Problem 7****Part 1.** The drawing be
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Description: See attached, answer section 1 **Problem 7****Part 1.** The drawing below shows a Hasse diagram for a partial order on the set {A, B, C, D, E, F, G, H, I, J}.*Figure 3: A Hasse diagram shows 10 vertices and 8 edges. The vertices, represented by dots,

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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