Please help and explain when ever necessar

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please help and explain when ever necessary
4. Let S be the set of all strings in 0's and l's, and define a function f:S Z as follo
for each string s in S,
g(s) = the number of 0's in s.
%3D
For example, g(0010) = 3 and g(11) = 0.
%3D
(а)
Is g one-to-one? Prove or give a counterexample.
(b)
Is g onto? Prove or give a counterexample.
Transcribed Image Text:4. Let S be the set of all strings in 0's and l's, and define a function f:S Z as follo for each string s in S, g(s) = the number of 0's in s. %3D For example, g(0010) = 3 and g(11) = 0. %3D (а) Is g one-to-one? Prove or give a counterexample. (b) Is g onto? Prove or give a counterexample.
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