Let S be the set of all strings of as and bs, and define N: S Z by N(s) = the number of

Chapter 7, Problem 24

(choose chapter or problem)

Let S be the set of all strings of a’s and b’s, and define N: \(S \rightarrow \mathbf{Z}\) by

N(s) = the number of a’s in s, forall \(s \in S\).

a. Is N one-to-one? Prove or give a counterexample.

b. Is N onto? Prove or give a counterexample.

Text Transcription:

S rightarrow mathbf Z

s in S

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