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Geoscience research and applications often involve a geospatial processing workflow.
Geotechnical applications often involve large displacements of structural elements, such as penetrometers or footings, in soil.
Many industrial applications often involve heat transfer fluids at pressures and temperatures above average atmospheric condition.
"Practical applications often involve hundreds of thousands of variables and tens of thousands of equations," Veinott said.
Since industrial applications often involve multialloyed compounds, we then derive an operational tool for atomic-scale investigations of long-range order alloys with complex crystallographies and multiple additions.
Molecular design strategies in biomedical applications often involve creating modular "fusion" proteins, in which distinct domains within a single molecule can perform multiple functions.
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Fluidized beds are used in a wide spectrum of large-scale process applications, often involving high operating temperatures and pressures.
Preparing data for ML applications often involves rules-based transformations that use basic logic and a form of notation called regular expressions (or regex).
Main drawbacks that prevent membrane technology from expanding further the current application often involve economic factors.
Practical applications, however, often involve complex geometries that cannot be represented by Cartesian meshes and, therefore, necessitate the application of unstructured meshes, which require a more sophisticated discretisation to account for their additional topological complexity.
Thomas Henzinger, who earned his PhD under Manna and is today president of the Institute of Science and Technology Austria, said formal proofs are becoming increasingly necessary for assuring the safety of complex modern applications, which often involve what scientists call the "concurrent interaction" of many different subprograms and hardware routines.
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