Twolisolutionsarey1=xandy2=1 Xtan�1x)herep(x)=2x=(1 X2)andq(x)=�2=(1 X2)areanalyticatx=0withcommonradiusofconvergencer=1.lety(x)=1xn=0cnxn:nowusin published presentations and documents on DocSlides.
x2e R2x=(1+x2)dxdx=xZ1 x2 1 1+x2dx= (1+xtan 1x)T...
Md d(n)n=E1 Md d(n)=(X) M=1 M 0:D...
Property1(Anti-)palindromicpolynomials.1:Everyreal...
2+1 3 1 4+1 5 1 6:::=1Xn=1( 1)n+11 n=ln2;(8.1)conv...
1 2FIRSTTHINGSFIRST(5)Duringclasstheinstructorhast...
f2xn0xn01f3xnfioforder204Invariant110K111x2n1x2n12...
2. Z50dx 2x+1 3. Zp =202xcos(x2)dx 4. Zlnx xd...
4STEFANSCHROERInturn,wemayidentifythen-cochains (Y...
2Example0.2.LetY=A1sothatA(Y)=[t].WhatisHom(X;A1)?...
2REMCOVANDERHOFSTAD,NINAGANTERTANDWOLFGANGKONIGsp...
Sinceiisnon-negative,P()0.Sox= P() 1p(),andq...
AppendixA.ProofofTheorem1Proof.LetU22Rm(m ),V22R...
AppendixA.ProofofTheorem1Proof.LetU22Rm(m ),V22R...
page40110SOR201(2002)(ii)Bernoullir.v.{ifp1=p;p0=1...
LhAncosnc Lt+Bnsinnc LtiTherefore,thenatura...
2ntana 2nwhereaisnotanintegermultipleof.7.Prove:1...
5.(Thecomplexexponential.)Denef:C!Cbyf(z)=ez=1Xn...
nnXk=1IfZk=ig!(i);wp1;where(i)isaconstant.Thensi...
andthemapF:`2(ZNZN)!`2(ZNZN)givenbyF(I(n;m))0n...