2. Let S = {Canada, France, India, Japan, Norway, Philippines, USA} and II(S) = {{Canada, USA), {France, Norway}, {India, Japan, Philippines}}. Determine the equiva- lence relation p rising from the partition. 3. Let Ny = {1, 2, 3, ., 18, 19, 20}. Define the relation p on N20 as zpy iff rly. a. Show that (N20-) is a poset. b. Determine three chains that are contained in (N-).

2. Let S = {Canada, France, India, Japan, Norway, Philippines, USA} and II(S) = {{Canada, USA), {France, Norway}, {India, Japan, Philippines}}. Determine the equiva- lence relation p rising from the partition. 3. Let Ny = {1, 2, 3, ., 18, 19, 20}. Define the relation p on N20 as zpy iff rly. a. Show that (N20-) is a poset. b. Determine three chains that are contained in (N-).

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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Question

2. Let S = {Canada, France, India, Japan, Norway, Philippines, USA} and
II( S) = {{Canada, USA}, {France, Norway}, (India, Japan, Philippines}}. Determine the equiva-
lence relation p rising from the partition.
%3D
3. Let N = {1, 2, 3, ., 18, 19, 20}. Define the relation p on N20 as rpy iff zly.
a. Show that (N- ) is a poset.
b. Determine three chains that are contained in (N. 1).

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