Let S be the set of all strings of 0s and 1s, and define D: S Z as follows: For all s S
Chapter 7, Problem 22(choose chapter or problem)
Let S be the set of all strings of 0’s and 1’s, and define
D: \(S \rightarrow \mathbf{Z}\) as follows: For all \(s \in S\),
D(s) = the number of 1’s in s minus the number of 0’s in s.
a. Is D one-to-one? Prove or give a counterexample.
b. Is D onto? Prove or give a counterexample.
Text Transcription:
S rightarrow mathbf Z
s in S
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