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This minimization problem is rigorously equivalent to a linear thermoelastic problem with a transformation strain which is a nonuniform field (not even uniform within the phases).
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He did this by maintaining a steady, moderately brisk pulse through the two opening movements, and by rigorously avoiding the musical equivalent of stopping to look at the view.
Thus, although it is currently unclear how, during purposeful action, the concerted efforts of basal ganglia and cerebellar output neurons impact on the firing rates of thalamocortical neurons in rigorously defined input zones, equivalent firing rates during rest might well extend to certain movements (Anderson and Turner 1991).
When considering cancer, it is irrelevant whether exactly all the host cells in an organ have been replaced by the mutants (which is equivalent to invasion, rigorously speaking).
Rigorously speaking, Eq. 11 is equivalent to Eq. 10 only if the bathymetry is flat (∂h/∂x = 0, ∂h/∂y = 0).
The equivalent macroscopic models are rigorously established as well as their domains of validity.
It turns out, as we rigorously show, that this method is equivalent to subtracting the population mean of allele counts.
As De Hamel points out, the reformed Church of England was not as rigorously anti-Catholic as its continental equivalents.
Although Pro-Gyan generated classifier was trained with a rigorously curated training data set, it performs equivalent to Fang et al.'s classifier and better than others.
The underlying iRefIndex data aggregation is a rigorously documented procedure that not only combines equivalent protein identifiers from multiple databases but also maps different protein splice isoforms of the same gene to their canonical representation.
Einstein showed that this modification is equivalent to assuming that photons are rigorously identical and that it implied a "mysterious non-local interaction", now understood as the requirement for a symmetric quantum mechanical state.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com