Difference between revisions of "Forward graininess"
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| − | Let $\mathbb{T}$ be a [[time scale]]. The forward graininess function $\mu \colon \mathbb{T}^{\kappa}$ is defined by | + | Let $\mathbb{T}$ be a [[time scale]]. The forward graininess function $\mu \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by |
$$\mu(t) = \sigma(t)-t,$$ | $$\mu(t) = \sigma(t)-t,$$ | ||
where $\sigma$ denotes the [[forward jump]] operator. | where $\sigma$ denotes the [[forward jump]] operator. | ||
| + | |||
| + | =References= | ||
| + | * {{PaperReference|Partial dynamic equations on time scales|2006|Billy Jackson||prev=Isolated point|next=}}: Appendix | ||
| + | * {{PaperReference|Functional series on time scales|2008|Dorota Mozyrska|author2=Ewa Pawluszewicz|prev=Backward jump|next=Right scattered}} | ||
Latest revision as of 14:58, 15 January 2023
Let $\mathbb{T}$ be a time scale. The forward graininess function $\mu \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by $$\mu(t) = \sigma(t)-t,$$ where $\sigma$ denotes the forward jump operator.
