Cantor function: Difference between revisions

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Properties: Bernoulli measure to redirect to appropriate section
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: <math>y=\sum_{k=1}^\infty b_k 2^{-k}</math>
 
be the [[dyadic rational|dyadic]] (binary) expansion of the real number 0 ≤ ''y'' ≤ 1 in terms of binary digits ''b''<sub>''k''</sub> &isin; {0,1}. This expansion is discussed in greater detail in the article on the [[dyadic transformation]]. Then consider the function
 
: <math>C_z(y)=\sum_{k=1}^\infty b_k z^{k}.</math>