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Let S be the set of all strings of a's and b's of length 4. Let B = {0, 1} %3! Let f:S → B be defined as follows: 1 if s has an a in the rightmost place f(s)- 0 if s does not have an a in the rightmost place Evaluate the following: a) f(aaaa) b) f(abbb) c) f(abab) d) f(bbba) e)List all of the ordered pairs for which f(s) = 1.

Let S be the set of all strings of a's and b's of length 4. Let B = {0, 1} %3! Let f:S → B be defined as follows: 1 if s has an a in the rightmost place f(s)- 0 if s does not have an a in the rightmost place Evaluate the following: a) f(aaaa) b) f(abbb) c) f(abab) d) f(bbba) e)List all of the ordered pairs for which f(s) = 1.

Advanced Engineering Mathematics
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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A Function on a Set of Strings Let S be the set of all strings of a's and b's of length 4. Let B = {0, 1} Let f:S → B be defined as follows: fleS1 if s has an a in the rightmost place f(s)- 0 if s does not have an a in the rightmost place Evaluate the following: a) f(aaaa) b) f(abbb) = c) f(abab) = d) f(bbba) = %3| e)List all of the ordered pairs for which f(s) = 1.
Transcribed Image Text:A Function on a Set of Strings Let S be the set of all strings of a's and b's of length 4. Let B = {0, 1} Let f:S → B be defined as follows: fleS1 if s has an a in the rightmost place f(s)- 0 if s does not have an a in the rightmost place Evaluate the following: a) f(aaaa) b) f(abbb) = c) f(abab) = d) f(bbba) = %3| e)List all of the ordered pairs for which f(s) = 1.
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