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On the other hand, for, reduces to the likelihood of the absent target state, which corresponds to the probability density function of assuming that the observation consists of clutter only, that is, (13).
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It was found that the classical approach of using beam functions as part of assumed displacement functions is no longer suitable when the finite prism models are used to analyze antisymmetric angle-ply composite laminates.
Because the local regions belonging to adjacent grid points overlap considerably, the set of observations used to update the grid points tends to vary relatively slowly as a function of location, assuming that the observations are sufficiently dense.
It is assumed that the stress field satisfies a priori the equilibrium equations while the inelastic strain distribution is evaluated as function of the assumed stress resulting nonuniform in each subset.
A more complex issue is the estimation of the dependencies between the critical-failure time probability density functions (see eqs (14) and (15)) as well as of the respective measurement error probability density functions (See Definition of functions assuming multivariate measurement error probability density functions in Appendix S1).
However, we are afraid that the upper-tail emergent constraint on ECS islargely a function of the assumed normal error terms in the regression analysis.
The variation of the mean distance as a function of each assumed parameter is calculated, while the other parameters are kept to be the best.
The parabolic distributions of transverse shear stresses through the plate thickness are taken into account for the analysis, by means of the hyperbolic and exponential function of the assumed displacement field.
This is of course a function of the assumed MAFs and ORs; if we reduce the MAFs or the ORs, or both, the sample size requirement will increase.
For a more general model a multivariate (c-variate) distribution of measurement error can be used (See Definition of functions assuming multivariate measurement error probability density functions in Appendix S1).
These fragility functions estimate the temporal duration of airport function assuming that the surrounding airspace is open and prior to any clean-up.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com