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Our approach relies on a nonlinear flow of porous medium / fast diffusion type which gives a clear-cut interpretation of technical choices of exponents done in earlier works on rigidity.
When seeing a healthcare provider, medical records to document the condition and specific diagnosis are certainly helpful, but the information about a relative's genetic test results is especially critical in ordering the appropriate test (usually a single-site mutation analysis) and for more clear-cut interpretation of results for these relatives.
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Murakami's mystical worlds resist such clear-cut interpretations.
But piecewise differentiability comes to be also important in ensuring that the candidate monotonous functions satisfy the provisos needed for the solution to be well-behaved, in the sense of sufficiently regular to involve a clear-cut economic interpretation on every point of its relevant domain.
Considering the focus of our study on the covariance analysis of brain tissue properties we base our inferences on nonoverlapping STN partitions to provide clear-cut, although admittedly simplified, interpretation of shared tissue properties within basal ganglia circuits.
However, there is a clear-cut distinction between their interpretations on the type of the oxygen vacancies.
In point of fact, while the notion of trauma has no clear-cut definition, the multifarious interpretations and representations of trauma constitute an industry, and its literature is mountainous.
But few things about the retailer are ever clear-cut, so here is another interpretation: Amazon is intentionally cannibalizing some major product lines — offering free or nearly free music, video and e-books — to draw tens of millions of people into its ecosystem.
Furthermore, concepts such as 'safety'riskisk' or 'scientific justification' are not clear-cut and need definition and interpretation.
A trained dog's response to a detected odour (sitting or lying down) is binary in character, i.e. in the form of clear-cut yes/no response, which makes interpretation of the results much simpler.
Decisions about how to classify a particular response were not always clear-cut and were based on coder interpretation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com