This leads to a representation of this one atom by multiple nodes in order to avoid circles in the graph.
It leads to a representation of the kinetic diffusion coefficient as a sum of static and memory-dependent terms.
The following construction, known in the literature as the Sadovskii/Buoni, Harte and Wickstead construction [[6], p.159], leads to a representation of the Calkin algebra B ( X ) / K ( X ) as an algebra of operators on a suitable Banach space.
First, the enforcement of quasi-steady state (QSS) gas-phase assumptions and stoichiometric considerations followed by spatial finite-difference approximation plus interpolation leads to a representation of the tubular reactor as a train of N continuous stirred tank reactors (CSTRs).
This leads to a representation of the operator as a multiplication of two orthonormal systems ({g_{n} :n inmathbb{N}}) in X and ({y_{n} : n inmathbb{N}}) in Y. Hence, this corresponds to a spectral representation of the operator A in the form Ag=sum_{n=1}^{infty }{mu_{n langle g,g_{n} ranglanglen}}, (36) for (g in X).
Conditioning is the form of learning in which repeated pairings of arbitrary features with rewards or punishments leads to a representation of the rewards or punishment evoked by the paired features.
This may lead to a smaller representation of female prehospital provider's knowledge on the topic.
Therefore, 'Polygnosis' thesaurus architecture and semantic relationships lead to a knowledge representation approach which has a major educational role.
However, the common transform bases used in CS to represent a signal often lead to a compressible representation that is not optimal in terms of compactness.
Few iterations of feedforward and feedback processing lead to a stable representation of completed contours and at the same time to a suppression of image noise.
