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It can often be difficult to disentangle this information as a function of frequency, or as a function of time, if these degrees of freedom, predominantly lattice phonon modes, have similar time/energy scales and influence a material system simultaneously with a strength that may depend subtly on the complicated path a material takes to its out-of-equilibrium state.
As explained by Barry et al (1995), far from there being a unique "Green-Ampt limit", practical predictions in the limit of a delta function diffusivity depend subtly on the relationship between diffusivity and conductivity at intermediate values of water content.
Also, because different compound frames were intended to encode different chemical structures and not the same structure in different physical cellular locations, processes that depend subtly on the originally intended data model could become broken.
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Depending subtly on the (N−1)−dimensional measure |∂Ω∩∂B 0,1)|N−1 and the nonlinear growth rate p, there are many different types of limiting profiles.
The avascular tumor growth presented here is a nonlinear partial differential equation in which the solution
What triggers whether or not an interaction is present depends subtly on the cellular context, the complement of molecules inside a cell (if we focus attention of intra-cellular processes and networks) and their respective molecular interactions.
Apparently, good perfume is supposed to react constantly with the wearer's body and shift subtly depending on temperature and diet.
Our model predicts that the optimal strategy for a natural enemy when confronted with well-defended, novel hosts subtly depends on the fitness costs of the adaptations to host defenses and the spatial distribution of defended hosts.
While the relative gene stability rankings may vary subtly depending on which algorithm is applied [ 41, 49, 50], use of multiple reference genes provides a considerably more robust result compared with relying on a single RNA transcript [ 5].
In an interview in Quito, Mr. Ponce, 59, mentioned the moderately leftist governments of Brazil and Chile as potential partners for increased military cooperation, subtly suggesting a reluctance to depend heavily on Venezuelan aid, as countries like Bolivia have done.
The various analytic methods used in dementia research often address subtly distinct scientific questions, depend on different assumptions, and provide differing levels of statistical precision.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com