Difference between revisions of "Hilger real axis"

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Let $h>0$. We define the Hilger real axis by
 
Let $h>0$. We define the Hilger real axis by
$$\mathbb{R}_h = \left\{ z \in \mathbb{C}_h \colon z \in \mathbb{R}, z > -\dfrac{1}{h} \right\},$$
+
$$\mathbb{R}_h = \left\{ z \in \mathbb{R} \colon z > -\dfrac{1}{h} \right\},$$
where $\mathbb{C}_h$ is the [[Hilger complex plane]].
+
and for $h=0$, we let $\mathbb{R}_0=\mathbb{R}$.
  
 
=Properties=
 
=Properties=

Latest revision as of 00:41, 30 May 2017

Let $h>0$. We define the Hilger real axis by $$\mathbb{R}_h = \left\{ z \in \mathbb{R} \colon z > -\dfrac{1}{h} \right\},$$ and for $h=0$, we let $\mathbb{R}_0=\mathbb{R}$.

Properties

References