Difference between revisions of "Mozyrska-Torres logarithm tends to infinity"

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(Created page with "==Theorem== Let $\mathb{T}$ be a time scale. The following formula holds: $$\displaystyle\lim_{t \rightarrow \infty} L_{\mathbb{T}}(t) = \infty,$$ where $L_{\mathbb{T}}$...")
 
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==Theorem==
 
==Theorem==
Let $\mathb{T}$ be a [[time scale]]. The following formula holds:  
+
Let $\mathbb{T}$ be a [[time scale]]. The following formula holds:  
 
$$\displaystyle\lim_{t \rightarrow \infty} L_{\mathbb{T}}(t) = \infty,$$
 
$$\displaystyle\lim_{t \rightarrow \infty} L_{\mathbb{T}}(t) = \infty,$$
 
where $L_{\mathbb{T}}$ denotes the [[Mozyrska-Torres logarithm]].
 
where $L_{\mathbb{T}}$ denotes the [[Mozyrska-Torres logarithm]].

Revision as of 19:05, 11 December 2017

Theorem

Let $\mathbb{T}$ be a time scale. The following formula holds: $$\displaystyle\lim_{t \rightarrow \infty} L_{\mathbb{T}}(t) = \infty,$$ where $L_{\mathbb{T}}$ denotes the Mozyrska-Torres logarithm.

Proof

References