Difference between revisions of "Regressive functions form an abelian group under circle plus"
From timescalewiki
(Created page with "==Theorem== The structure $(\mathbb{C}_h,\oplus_h)$ is an Abelian group. ==Proof== ==References== Category:Theorem Category:Unproven") |
|||
(2 intermediate revisions by the same user not shown) | |||
Line 1: | Line 1: | ||
==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 $\mathcal{R}(\mathbb{T},\mathbb{C})$ denotes the set of [[forward regressive function|regressive]] functions and $\oplus_h$ denotes the [[circle plus]]. |
==Proof== | ==Proof== |
Latest revision as of 23:10, 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 $\mathcal{R}(\mathbb{T},\mathbb{C})$ denotes the set of regressive functions and $\oplus_h$ denotes the circle plus.