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PDF-MATH436Notes:FunctionsandInverses.JonathanPakianathanSeptember12,20031 PDF document

Example13De nefZZviafnn2foralln2ZThenImff014916gff2gf4gandf1f012gf011gItfollowsthatff1f012gf01gandf1ff2gf22gThefollowingareamongthemostimportantconce

Example1.3.De nef:Z!Zviaf(n)=n2foralln2Z.ThenIm(f)=f0;1;4;9;16;:::g f(f2g)=f4gandf1(f0;1;2g)=f0;1;1g.Itfollowsthatf(f1(f0;1;2g))=f0;1gandf1(f(f2g))=f2;2g.Thefollowingareamongthemostimportantconce

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