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Example25Considerthetwomappings NNde nedby n2nand NNde nedby nn1 2ifnisoddn 2ifnisevenShowthat and areonetoonebut isnotSolutionSince n1 n2implies2n12n2andthisinturnsimpliest

Example2.5Considerthetwomappings :N!Nde nedby (n)=2nand :N!Nde nedby (n)=n+1 2ifnisoddn 2ifnisevenShowthat and  areone-to-onebut isnot.Solution.Since (n1)= (n2)implies2n1=2n2andthisinturnsimpliest

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Theorem2.2Assumethat :S!Tand :T!Uaretwomappings.(a)If and areone-to-: Transcript

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