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Our scheme uses a time-independent fixed grid avoiding the difficulties involved in deforming meshes and remeshing of the domain.
The development of computer science brought the possibility to develop realistic computational models which can behave like physical ones, avoiding the difficulties and costs of experimental tests.
Furthermore, exploiting the advantages of both kinds of balloons while avoiding the difficulties was a significant goal in the current design to promote the floating performance of high-altitude balloons technology.
Therein, the non-overlap constraint for all the embedded holes is imposed as a single explicit integral constraint over the design domain, thus avoiding the difficulties in the overlap detection of multiple arbitrary-shaped geometries.
The co-crystallization of hexavalent actinides with uranyl nitrate hexahydrate has been established as a viable approach to achieving group actinide separation in used nuclear fuel recycle, while avoiding the difficulties associated with the solvent-extraction process altogether.
It bases fees upon audited accounts, thereby avoiding the difficulties and disagreements that would surround an effort to determine the relevant proportions by trying to measure union expenditures as they occur or by trying to make predictions about the nature of future expenditures.
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An apparent method of avoiding the difficulty just raised would be to emphasize the tentative character of scientific judgment.
This theory provides a rational approach for avoiding the difficulty of creating periodic meshes and automatically captures finite dimension effects.
The results show that the utilization of comb-drive microactuator on grating improves the absorptance of simple binary grating while avoiding the difficulty fine groove processing.
If this can be done, Leibniz may have a way of avoiding the difficulty posed by conditional future contingents.
In quantum cosmology the MWI allows for discussion of the whole Universe, thereby avoiding the difficulty of the standard interpretation which requires an external observer.
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CEO of Professional Science Editing for Scientists @ prosciediting.com