Difference between revisions of "Forward jump"
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Let $\mathbb{T}$ be a [[time scale]]. The forward jump operator $\sigma \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by the formula | Let $\mathbb{T}$ be a [[time scale]]. The forward jump operator $\sigma \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by the formula | ||
| − | $$\sigma(t) | + | $$\sigma(t)=\inf \left\{ x \in \mathbb{T} \colon x > t \right\}.$$ |
Revision as of 02:55, 8 September 2015
Let $\mathbb{T}$ be a time scale. The forward jump operator $\sigma \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by the formula $$\sigma(t)=\inf \left\{ x \in \mathbb{T} \colon x > t \right\}.$$
