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A projection scheme is employed to compute the element densities from design variables and control the length scale of the material density.
"The scale of the material that needed to be searched included millions of emails, tens of thousands of documents, complex communications data and trails of financial transactions that required painstaking analysis as evidence gradually emerged," it said.
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Failure models of these materials remain empirically calibrated due to the lack of a thorough understanding of the controlling processes at the scale of the materials' heterogeneity, i.e. the mesoscale.
The time scales of the material phenomena controlling the processing of thermoplastic composites are presented.
Furthermore, a straightforward method with cycle-scaling of the material parameters are used to efficiently reduce calculation cost.
This equation illustrates the effect of length-scale of the material on the measured modulus value.
As the length-scale of the material under study is reduced, the proportion of surface atoms to that of the bulk increases; and at the nanoscale, this ratio is large enough for surface properties to significantly affect the overall properties of the material.
On the other hand, the content of Al in the scale of this material is significantly less than that of the material without Nb.
The microstructure length scales of the materials are identified.
Despite the cartoonish scale of the Siegels' material desires, the film depicts what essentially happened to so many over-leveraged Americans when the housing bubble burst.
In engineering approaches, the electro-diffusive transport behavior of ions through charged porous media is often described by phenomenological theories, formulated on the observation scale of the macroscopic material, without considering the underlying physics on the particle scale.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com