Real numbers

The set $\mathbb{R}$ of real numbers is a time scale.

$\mathbb{T}=\mathbb{R}$

Jump operator:	$\sigma(t)=t$
Graininess operator:	$\mu(t)=0$
$\Delta$-derivative:	$f^{\Delta}(t)=\displaystyle\lim_{h\rightarrow 0} \dfrac{f(t+h)-f(t)}{h}$
$\Delta$-integral:	$\displaystyle\int_s^t f(\tau) \Delta \tau = \displaystyle\int_s^t f(\tau) d\tau$ is the Riemann integral