Category:Definitions/Liouville Numbers

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This category contains definitions related to Liouville Numbers.
Related results can be found in Category:Liouville Numbers.


A real number $x$ is a Liouville number if for all $n \in \N$, there exist $p, q \in \Z$ (which may depend on $n$) with $q > 1$ such that:

$0 < \size {x - \dfrac p q} < \dfrac 1 {q^n}$

Subcategories

This category has only the following subcategory.

Pages in category "Definitions/Liouville Numbers"

The following 3 pages are in this category, out of 3 total.