Cantor function: Difference between revisions

Content deleted Content added
Definition: added digits 0,1,2
Iterative construction: rm, true but unsourced and unimportant
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:<math>\max_{x \in [0, 1]} |f(x) - f_n(x)| \le 2^{-n+1} \, \max_{x \in [0, 1]} |f_1(x) - f_0(x)|.</math>
 
Also the choice of starting function does not really matter, provided ''f''<sub>0</sub>(0)&nbsp;= 0, ''f''<sub>0</sub>(1)&nbsp;= 1 and ''f''<sub>0</sub> is [[Bounded function|bounded]]{{citation needed|date=September 2014}}.
 
=== Fractal volume ===