31 Find 4 points in the which are hot intervals Jn. i Cantor set,2 of en a pointS of the 33 5. THE CANTOR SET Definition (Construction of the Cantor Set). Define Co = [0,1] %3D Jo,1, %3D C = [0,1/3] U (2/3, 1] %3D J1,1 U J12, C2 = [0,1/9] U [2/9, 1/3] U [2/3,7/9] U [8/9, 1] %3D J21 U J2,2 J2,3 J2.4, and in general 2n Xj x; + Cn =U Jn,i, where Jn,i %3D 3n' 3n i=1 Define the Cantor set to be C = Cn. %3D n=0

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31 Find 4 points in the
which are hot
intervals Jn. i
Cantor set,2 of
en a pointS of the
Transcribed Image Text:31 Find 4 points in the which are hot intervals Jn. i Cantor set,2 of en a pointS of the
33
5. THE CANTOR SET
Definition (Construction of the Cantor Set). Define
Co = [0,1]
%3D
Jo,1,
%3D
C = [0,1/3] U (2/3, 1]
%3D
J1,1 U J12,
C2 = [0,1/9] U [2/9, 1/3] U [2/3,7/9] U [8/9, 1]
%3D
J21 U
J2,2
J2,3
J2.4,
and in general
2n
Xj x; +
Cn =U Jn,i, where Jn,i
%3D
3n'
3n
i=1
Define the Cantor set to be
C = Cn.
%3D
n=0
Transcribed Image Text:33 5. THE CANTOR SET Definition (Construction of the Cantor Set). Define Co = [0,1] %3D Jo,1, %3D C = [0,1/3] U (2/3, 1] %3D J1,1 U J12, C2 = [0,1/9] U [2/9, 1/3] U [2/3,7/9] U [8/9, 1] %3D J21 U J2,2 J2,3 J2.4, and in general 2n Xj x; + Cn =U Jn,i, where Jn,i %3D 3n' 3n i=1 Define the Cantor set to be C = Cn. %3D n=0
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