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Whereas philosophers often speak in abstractions about concepts like the human condition, human suffering, desire, pleasure and the good life, we suspected that a practicing psychoanalyst might offer us a more subtle analysis of these concepts, grounded in lives of actual persons.
As both a p-Laplacian operator and a supercritical exponent appear in this problem, more subtle analysis is needed, which is shown in the following theorem.
A more subtle analysis of this group revealed that the frequency of ASCA positivity was also significantly higher in a small group of patients with PSC (p = 0.04), but not in those with PBC or AIH.
In addition, more subtle analysis based on surveying the patient and the caregiver may also be instructive.
Using more than one parameter to describe dendritic complexity allows more subtle analysis of changes during prenatal growth than was possible in previous works.
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Incorporating factors of this type can yield a more much subtle analysis of variability for a multi-instrument study of this type.
No, that would require some more subtle thinking and analysis -- a quality sorely lacking within today's right wing fringe.
By taking into account prior knowledge through clusters of previous results under similar conditions and also by estimating the noise level of the data as part of the analysis, more subtle differences in growth rate may be shown to be significant.
But Mr Wittes's analysis is more subtle, and he tries harder to offer solutions.
Philosophers, for their part, have devoted a good deal of attention to the analysis of more subtle differences between "higher" emotions.
It is possible that some of the more subtle results seen in our analysis, however, may prove artificial once these biases have been removed by appropriate methods.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com