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Assumptions are made on the POD curve shape and underlying statistical distributions in order to facilitate an effective approximation of the confidence intervals, assumptions which are unrealistic for this automatic NDE system.
Furthermore, if resources are not available to use the KL weight learning technique, setting the sound-concept link weights to provides a simple and effective approximation of the optimized weight.
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Our approach relies upon the effective approximation of certain terms that involve the derivative of the Lyapunov function and the unknown system nonlinearities.
Preliminary studies based on finite element simulations, suggested that the effective surface strains are a good approximation of the bulk strains below the surface.
The in vitro methods provide an effective approximation of in vivo situations and have the advantage that reproducibility is good, as it is possible to control conditions better than in in vivo tests [ 29].
It is best to fit into the cover to get an effective approximation of where this is.
In fact, Theorem 1 obtains an effective approximation for the error term of the Mathieu series.
Thus, linear models can serve as very effective approximations of behavior of non-linear models in certain windows of time: in this way, non-linear behavior can be approximated as a sequence of linear dynamics, followed one each other in a sequence of "phase transitions".
This result can be understood in terms of the effective medium approximation of the Si NW array.
In order to calculate the refractive index of each layer for a given current density, we use the effective medium approximation of the Bruggeman's model [35]: f P ε Si − ε PSi ε Si + 2 ε PSi + ( 1 − f P ) 1 − ε PSi 1 + 2 ε PSi = 0. (1).
By exploiting a multilevel control structure, we show that truncated hierarchical B-spline (THB-spline) representations support interactive modeling tools, while simultaneously providing effective approximation schemes for the manipulation of complex data sets and the solution of partial differential equations via isogeometric analysis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com