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When the diffusion matrix is used to enforce smoothness, the principal components maximize long-run variation relative to the overall variation subject to orthogonality constraints.
It is also shown that the combustion phasing can increase, decrease, or exhibit non-monotonic changes with equivalence ratio variation, subject to fuel and operating conditions.
These principal components maximize variation subject to smoothness and orthogonality constraints; but we allow for a general class of constraints and multivariate densities, including densities without compact support and even densities with algebraic tails.
Two objective functions are considered: (i) maximizing crystal size subject to a specified maximum coefficient of variation and (ii) minimizing coefficient of variation subject to a specified minimum crystal size.
The load-induced cracks will significantly influence the accuracy of prediction of the capacity variation subject to reinforcement corrosion damage.
The basic idea of this method is that whereas neutral diversity will increase proportionally with increasing population size, variation subject to strong purifying selection is expected to increase less rapidly with increasing population size.
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To reduce the impact of diurnal variation, subjects arrived at the lab around 0900 hr for each exposure.
Statistical methods are developed to distinguish causal genetic variations subject to selection from neutral genetic variations (Hartl and Clark, 2007).
Therefore, the method is ideal for optimization problems involving a large number of structural variations subjected to specific offshore conditions.
The large uncertainties in isentropic efficiency are caused by the large enthalpy variations subjected to small measurement uncertainties in temperature and pressure.
The eigenfrequencies of rods with certain area variations, subjected to classical boundary conditions, are obtained and the parametric space of the solutions obtained is studied.
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