File:Hilgercircle,T=hZ.png
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Hilgercircle,T=hZ.png (436 × 475 pixels, file size: 11 KB, MIME type: image/png)
The time scale $\mathbb{T}=h\mathbb{Z}$ has constant graininess function $\mu \equiv h$. Hence if $z$ is a regressive constant, then $$1 + hz \neq 0$$ or $$z \neq -\dfrac{1}{h}.$$
The tikz code used to generate this image is:
\begin{tikzpicture} \draw[style=dashed, very thick,fill=black!40] (-1,0) circle (3cm); \draw[->,very thick] (-5,0) -- (3,0); \draw[->,very thick] (2,-4) -- (2,4); \node at (-3.25,-1) {$\mathbb{C}_{\mu(t)}$} ; \node at (-1,-.5) {$-\dfrac{1}{h}$}; \end{tikzpicture}
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 20:46, 15 July 2014 | 436 × 475 (11 KB) | Tom (talk | contribs) | The time scale $\mathbb{T}=h\mathbb{Z}$ has constant graininess function $\mu \equiv h$. Hence if $z$ is a regressive constant, then $$1 + hz \neq 0$$ or $$z \neq -\dfrac{1}{h}.$$ |
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