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On a structural approach to realism regarding chaos models, one faces the difficulty that strange attractors are at best too gross an approximation to the structure of physical attractors and at worst terribly misleading.
Classical geometry provides a first approximation to the structure of physical objects; it is the language that we use to communicate the designs of technological products and, very approximately, the forms of natural creations.
Our models provide a first approximation to the structure of functionally important domains in these metazoan mechanosensory ion channel subunits, and remains to be tested experimentally.
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These present new possibilities, namely the construction of models which are closer in their approximation to the structures they represent.
The properties of the additional hyperelastic material are established based on a new interpolation scheme, which allows the nonlinear mechanical behaviour of the remodelled structure to achieve an acceptable approximation to the original structure.
Geologically, the moving fluid might not be homogenous over the space, and our model here represents the first order approximation to the geological structure.
In vitro experiments that studied clusters of β cells also indicated that the hexagonal lattice is a much better approximation to the cluster structure [38], [39].
Poisson regression with random effects allows a closer approximation to the geographical structure of the data.
The starting model for the RT structure was based on the commensurate 2√2 ap × 4 ap × √2 ap subcell in the polar orthorhombic space group P21 mn, previously identified as the best commensurate approximation to the incommensurate structure.
It was found that the randomly overlapping spherical grain assumption offered great simplicity to the model, despite its approximation to the actual porous structure within a particle.
This paper used simulation methods to evaluate the estimates of the von Bertalanffy growth parameters outside the assessment model using the traditional method and a length-conditional method based on an equilibrium approximation to the population age structure derived from an estimate of the total mortality rate.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com