Difference between revisions of "Regressive functions form an abelian group under circle plus"

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==Theorem==
 
==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 [[forward regressive|regressive]] functions and $\oplus_h$ denotes the [[circle plus]].
+
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.

Proof

References