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Numerical simulation of advective solute transport requires approximation of two vectors: the concentration gradient and the velocity.
The present method requires approximation of the flexural added mass, and the comparison with other results shows that the approximation is satisfactory for predicting maximum displacement.
Sometimes the effort to render a given original in a given medium requires approximation and elaboration of various sorts, so that any rendering of the given original in the given medium will be correct only up to a point and incorrect thereafter (such is approximation) and more complex or longwinded than the thing rendered (such is elaboration).
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The generalized LS (GLS) method for topology testing is often frustrated by the computational difficulties in calculating the covariance matrix and its inverse, which in practice requires approximations.
The penetration of biomonitoring into our social fabric has generated a wholesale shift in focus from the environment as a model for human exposure a method that requires approximations regarding concentration, length of exposure, frequency of exposure, "susceptibility," absorption, distribution, metabolism, and excretion to a focus on the individual.
Two examples are provided to demonstrate the way in which fuzzy systems are designed to approximate given functions with a given required approximation accuracy.
Two examples are provided to demonstrate how to design a Boolean fuzzy system in order to approximate a given continuous function with a required approximation accuracy.
Methods which do not require approximation subspaces to conform to the smoothness requirements dictated by the PDE are very attractive for such problems.
However, some applications require approximation over a certain band of frequency than whole frequency range.
The purpose of any measurement is to obtain the required approximation to the measurand.
Moreover a stopping criterion is proposed that enables to perform the number of simulations necessary to obtain required approximation accuracy.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com