Difference between revisions of "Mozyrska-Torres logarithm on the reals"
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− | {{PaperReference|The Natural Logarithm on Time Scales| | + | {{PaperReference|The Natural Logarithm on Time Scales|2008|Dorota Mozyrska|author2 = Delfim F. M. Torres|prev=Mozyrska-Torres logarithm at 1|next=Mozyrska-Torres logarithm is increasing}} |
Revision as of 15:28, 21 October 2017
Theorem
The following formula holds: $$L_{\mathbb{R}}(t) = \ln(t),$$ where $L_{\mathbb{R}}$ denotes the Mozyrska-Torres logarithm on the time scale of real numbers and $\ln$ denotes the logarithm.
Proof
References
Dorota Mozyrska and Delfim F. M. Torres: The Natural Logarithm on Time Scales (2008)... (previous)... (next)