Difference between revisions of "Thomae function"
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(Created page with "Thomae's function is given by the formula $$f(x) =\begin{cases} 1 & \text{if } x= 0 \\ \tfrac1{q} & \text{if } x = \tfrac{p}{q}\\ 0 & \text{if } x \in \mathbb{R}-\mathbb{Q}....") |
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0 & \text{if } x \in \mathbb{R}-\mathbb{Q}. | 0 & \text{if } x \in \mathbb{R}-\mathbb{Q}. | ||
\end{cases}$$ | \end{cases}$$ | ||
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| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Thomae.png|Plot of the Thomae function. | ||
| + | </gallery> | ||
| + | </div> | ||
Revision as of 23:11, 1 April 2015
Thomae's function is given by the formula $$f(x) =\begin{cases} 1 & \text{if } x= 0 \\ \tfrac1{q} & \text{if } x = \tfrac{p}{q}\\ 0 & \text{if } x \in \mathbb{R}-\mathbb{Q}. \end{cases}$$
Plot of the Thomae function.
