Difference between revisions of "Cantor set"
(New page: The '''Cantor set''' is equal to <math>C(0,1)</math>, where <math>C</math> is a recursively defined function: <math>C(a,b)=C\left(a, \frac{2a+b}{3}\right)\cup C\left(\frac{a+...) |
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Revision as of 21:10, 16 November 2008
The Cantor set is equal to 
, where 
is a recursively defined function: 
and 
. Geometrically, one can imagine starting with the set [0,1] and removing the middle third, and removing the middle third of the two remaining segments, and removing the middle third of the four remaining segments, and so on ad infinitum.
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