This simple relation between the two Legendre transforms is a consequence of scaling, and hence the corresponding relation holds for any quantum relative entropy.
Modules are constituted of a group of highly interconnected genes, and as a consequence of scale-free topology assumptions, it will consist of many low interconnected genes and a few highly interconnected genes (hub genes).
The bigger the difference between the scale efficiency score of a DMU and full scale efficiency (SE k = 1), the more unfavourable are the consequences of scale.
This paper presents a spatially explicit land-use model to investigate the consequences of scale mismatches for pollination and carbon storage services and examine the effect of payment for only carbon storage services.
The consequences of scaling back bus services are not only social and economic, but also environmental.
Yet often the consequences of scaling choices are not explicitly addressed.
The consequences of scaling are numerous; namely lowered heat transfer efficiency, increased pumping costs, total or partial blocking the water flow and the requirement for frequent system cleaning.
Salt precipitation occurs in all operations of wells, but the most negative consequences of scaling occur during oil production using electric submersible pumps (ESPs) (Poynton et al. 2008; Chen et al. 2013).
The survey comprised 3 open and 1 closed question about scale preferences in floodplain management of the study area, their reasons to focus at this scale and the anticipated consequences of scaling up.
Other resource consequences of scaling up the use of ACT, such as training or providing incentives to community health workers to deliver ACT must also be compared to the status quo (which may vary from setting to setting).
First, Kadanoff showed [10] that scaling and universality of critical exponents are primarily a consequence of the scale invariance of physical systems near critical points, but the converse is not essentially true; in other words, by observing some sort of universality, one cannot prove the closeness to criticality and the presence of a scale invariance.
