Difference between revisions of "Forward jump"
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(Created page with "Let $\mathbb{T}$ be a time scale. The forward jump operator $\sigma \colon \mathbb{T} \rightarrow \mathbb{T}$ is defined by the formula $$\sigma(t) := \inf \left\{ x \in ...") |
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| − | Let $\mathbb{T}$ be a [[time scale]]. The forward jump operator $\sigma \colon \mathbb{T} \rightarrow \mathbb{T}$ is defined by the formula | + | Let $\mathbb{T}$ be a [[time scale]]. The forward jump operator $\sigma \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by the formula |
$$\sigma(t) := \inf \left\{ x \in \mathbb{T} \colon x > t \right\}.$$ | $$\sigma(t) := \inf \left\{ x \in \mathbb{T} \colon x > t \right\}.$$ | ||
Revision as of 22:29, 31 July 2015
Let $\mathbb{T}$ be a time scale. The forward jump operator $\sigma \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by the formula $$\sigma(t) := \inf \left\{ x \in \mathbb{T} \colon x > t \right\}.$$
