Difference between revisions of "Regressive functions form an abelian group under circle plus"
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==Theorem== | ==Theorem== | ||
| − | The structure $(\mathbb{C} | + | Let $\mathbb{T}$ be a [[time scale]]. The structure $(\mathcal{R}(\mathbb{T},\mathbb{C}),\oplus_h)$ is an Abelian group, where $\mathcal{R}(\mathbb{T},\mathbb{T})$ denotes the set of [[forward regressive|regressive]] functions and $\oplus_h$ denotes the [[circle plus]]. |
==Proof== | ==Proof== | ||
Revision as of 23:09, 14 July 2016
Theorem
Let $\mathbb{T}$ be a time scale. The structure $(\mathcal{R}(\mathbb{T},\mathbb{C}),\oplus_h)$ is an Abelian group, where $\mathcal{R}(\mathbb{T},\mathbb{T})$ denotes the set of regressive functions and $\oplus_h$ denotes the circle plus.
