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of a partition of Z i

of a partition of Z i

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5. Let A = {a, b, ..z} be the set consisting of the letters of the alphabet. For a € A, let Ag consist of a and two letters that follow it, where A, = {y, z, a} and A, = {z, a. b}. Find a set SSA of smallest cardinality such that Uaes Aa = A. Explain why your S has the required properties.
Transcribed Image Text:5. Let A = {a, b, ..z} be the set consisting of the letters of the alphabet. For a € A, let Ag consist of a and two letters that follow it, where A, = {y, z, a} and A, = {z, a. b}. Find a set SSA of smallest cardinality such that Uaes Aa = A. Explain why your S has the required properties.
8. Which of the following sets are partitions of A = {1,2,3,4,5}? a. S, = {{1,3},{2,5}} b. S, = {{1,2}, {3,4,5},{2,1}} ç. S; = {{1,2},{2,3},{3,4}, {4,5}} d. S4 = A 9. Give an example of a partition of Z into four subsets.
Transcribed Image Text:8. Which of the following sets are partitions of A = {1,2,3,4,5}? a. S, = {{1,3},{2,5}} b. S, = {{1,2}, {3,4,5},{2,1}} ç. S; = {{1,2},{2,3},{3,4}, {4,5}} d. S4 = A 9. Give an example of a partition of Z into four subsets.
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