Difference between revisions of "Faber F1"

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m (Tom moved page Faber function F1 to Faber F1)
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=See Also=
 
=See Also=
[[Faber function F2]]
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[[Faber F2]]
  
 
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=References=

Revision as of 17:16, 23 June 2016

The Faber function $F_1$ is defined by $$F_1(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{10^k} \displaystyle\inf_{m \in \mathbb{Z}} \left|2^{k!} x -m \right|.$$

Properties

Faber F1 is continuous
Faber F2 is nowhere differentiable


See Also

Faber F2

References

[1]