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An analytical condition in which association tests are confined to subgroups that share common HLA alleles.
An analytical condition for the global stability has been derived.
We model the evolution of a quantitative trait under selection that fluctuates in space and time, and derive an analytical condition for when these fluctuations promote genetic diversification.
Using an analytical condition published elsewhere, we are able to show for the examples studied, that the maximum number of switches is two with one possible singular subsection.
Based on Lapunov's first method an analytical condition has been derived for the local asymptotic stability of an adiabatic tubular reactor with recycle.
The method, based on Popov's criterion, has been employed for the case of a single reaction described by any rate expression, thus leading to an analytical condition for global stability.
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The analytical conditions are reported and justified.
Experimental design was used to optimize the analytical conditions.
Experimental design methodology was used to optimize the analytical conditions.
Optimum analytical conditions for the determination of molybdenum were established.
The optimum analytical conditions for DNA assay have been established.
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