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Initially, the Kolmogorov-Feller backwards equation for the reliability function along with associated initial and boundary conditions is specified.
A variation of five different conditions is specified in detail in the legend to the figures.
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Here, the methods of inverse analysis are applied to the ill-conditioned equations that result when two conditions are specified for a particular surface.
Culture conditions are specified in the Supplementary information.
But once such conditions are specified, the remaining question is empirical.
Conditions are specified that assure consistency and asymptotic normality of these estimators.
Inlet conditions and boundary conditions were specified numerically to the best information available for each fluid modelling simulation.
The boundary conditions are specified at the triple points, which are common to both neighboring grains and the void.
Boundary conditions are specified at the body surface and the Rankine-Hugoniot relations are imposed at the shock.
Boundary conditions are specified using the method of characteristics that accommodates the transport of entropy, vorticity, and acoustic waves.
The experiments are repeatable in principle, the controlled conditions are specified closely, and equations predict precise (even if probabilistic) events which obey general laws governing relations between measurable physical properties like spin, charge, and mass.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com