24 research outputs found
Advantages of -logarithm representation over -exponential representation from the sense of scale and shift on nonlinear systems
Addition and subtraction of observed values can be computed under the obvious
and implicit assumption that the scale unit of measurement should be the same
for all arguments, which is valid even for any nonlinear systems. This paper
starts with the distinction between exponential and non-exponential family in
the sense of the scale unit of measurement. In the simplest nonlinear model
, it is shown how typical effects such as rescaling and shift
emerge in the nonlinear systems and affect observed data. Based on the present
results, the two representations, namely the -exponential and the
-logarithm ones, are proposed. The former is for rescaling, the latter for
unified understanding with a fixed scale unit. As applications of these
representations, the corresponding entropy and the general probability
expression for unified understanding with a fixed scale unit are presented. For
the theoretical study of nonlinear systems, -logarithm representation is
shown to have significant advantages over -exponential representation.Comment: 13 pages, 3 figure
Pseudo dilated cardiomyopathy: Dilated cardiomyopathy‐like changes due to a combination of stuck mechanical mitral valve and coronary microvascular dysfunction—An autopsy case
Key Clinical Message Thrombus formation in the microvessels and endocardium was suggestive of endothelial cell damage, myocardial ischemia, and a decreased coronary flow reserve. Sustained pulmonary hypertension due to thrombosis worsened the biventricular dysfunction