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In fact, even the weak acceptance and the weak rejection time consistency for stochastic processes (as defined in the present paper) are too strong in the case of scale invariant maps.
These results suggest that in the case of scale illusion, the occurrence of MMN is based upon the representation of tones created by perception, but not upon the physical properties of a tone sequence.
In the case of scale, economic theory suggests that as output increases average costs will first fall and then rise, resulting in a 'u' – shaped average cost curve.
In the case of scale efficiency, lower scores appeared in remote/island locations and in smaller facilities, whereas facility type was evidently not a significant predictor (P = 0.218), in accordance to the results presented in Table 2 as well.
In the case of scale plasticity, whatever the environment, selection would result in the same favoured genotype, whereas in the case of rank plasticity, different genotypes would be selected in different environments.
In the case of scale inefficiency, the unit may be exhibiting 'increasing return to scale' meaning it is too small for its scale of production or 'decreasing return to scale' meaning it is too large for the level of output it is producing.
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It was then a case of scaling everything up.
However, we have shown that the distribution does indeed retain some properties of the underlying lattice, which for the case of scale-free graphs is the scale-freeness of the spectrum distribution.
This project aims to deepen our understanding of this by using the case of SCALE-UP to study how complex research-based reforms spread, within and across institutions, including how people learn about and implement them. 1) To what extent has SCALE-UP spread?
As an application, we prove the Liouville theorem in the marginal case of scaling invariance.
In the case of scaling, we conducted experiments with the scaling factor taking values as shown in Figure 16.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com