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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current20:46, 15 July 2014Thumbnail for version as of 20:46, 15 July 2014436 × 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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