Difference between revisions of "Backward jump"

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Revision as of 02:49, 8 September 2015

Let $\mathbb{T}$ be a time scale. The backward jump operator $\rho \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by the formula $$\rho(t) = \sup \left\{s \in \mathbb{T} \colon s <t \right\}.$$