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4SHANKARAPAILOORCorollary2.7.LetMbecompactandf:M!N...
H// YIev0 Xf// Ywheref:X!Yisanarbitrarymap.Thesp...
4KEITHCONRADProof.Letf(T)2OK[T]beEisensteinatsomep...
2GRAPHICALANALYSIS,ANDATTRACTINGANDREPELLINGFIXEDP...
Weusethefollowingbasicnotations.xTdenotesthetransp...
3AnuninterpretedfunctionFofaritynsatisesonlyoneax...
2];n=7,xi=i 2n.DerivativeApproximations:iff(x)2C...
"#"e andf(#( andhence .If ,1},thendifferentiationy...
amoremathematicallanguage:fisone-to-one graphoff(x...
Corollary2Iff(n)isnon-negligibleandg(n)isnegligibl...