Now solved: In 4455 indicate which of the functions in the referenced exercise are
Chapter 7, Problem 50(choose chapter or problem)
In 44–55 indicate which of the functions in the referenced exercise are one-to-one correspondences. For each function that is a one-to-one correspondence, find the inverse function.
Exercise 21
Let S be the set of all strings of 0’s and 1’s, and define l: \(S \rightarrow \mathbf{Z}^{\text {nonneg }}\) by
l(s) = the length of s, for all strings s in S.
a. Is l one-to-one? Prove or give a counterexample.
b. Is l onto? Prove or give a counterexample.
Text Transcription:
S rightarrow mathbf Z^nonneg
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