And it's also a complex-valued function, which means that when we represent it in general it requires a representation in terms of its real part and imaginary part, or in terms of magnitude and angle.
This paper advances the field further by outlining an isogeometric boundary element Method (IGABEM) that only requires a representation of the geometry of the domain for analysis, fitting neatly with the boundary representation provided completely by CAD.
We further argue for the need for integrated assessment models (IAMs), a suite of models that couple human activity models to Earth system models, which are key to address many emerging issues that require a representation of the coupled human-Earth system.
As explained earlier, CNNs require a representation that preserves the time-frequency topology of the original input, so they cannot operate with MFCC features.
KS wish to show that for an arbitrary QM system requiring a representation in a Hilbert space of at least three dimensions, the ascription of values in conjunction with condition (KS2) (Sum Rule and Product Rule) is impossible, and in order to do this it is sufficient to consider the space R3.
More specifically, we suggest that the cerebellum may be important for discontinuous movements that require a representation of a temporal goal whereas the basal ganglia are crucial for continuous motor timing in which the temporal goal is embedded in action [46].
It requires a representation language and the capability of a knowledge processor to construe the meaning of concepts of that language.
Our GA requires a representation of the conformations, initialisation of the population, evaluation of the solution in each iteration, and a set of genetic operators on the conformations.
Our plume model requires a representation of the state of the atmosphere, in the form of atmospheric profiles at the vent location.
This step would require a representation of the canopy structure and vertical mixing as well as the canopy chemistry accounting for isoprene oxidation, deposition and OH regeneration.
