Sentence examples for representation for which from inspiring English sources
The algorithm does not require tolerances except those associated with machine arithmetic, and can handle any surface representation for which bounds on the position of the surface as well as its Gauss map (the set of normals to the surface) are available.
This usage provides consistency with the B-Prolog rule representation for which the visualization was created.
The 'knee' shape in Figure 5 indicates possible parsimonious system representation for which no degradation of the model error is observed.
A major onomatopoeic representation is regarded as being frequently described by many listeners of the sound, that is, a "typical" onomatopoeia, whereas a minor onomatopoeic representation is regarded as a unique representation for which there is a relative smaller possibility that a listener of the sound would actually use the representation to describe it.
"When I felt ready to query again I received three offers of representation, for which I was endlessly appreciative, and I felt a strong connection to agent Julie Barer.
The translation of the experimental data into mathematical equations allows researchers to obtain a number of geometric representations for which it is possible to apply those relations which are suitable to measure physical magnitudes otherwise difficult to measure.
In particular, we provide for each k∈N examples of continuous unitary representations for which the space of Ck+1-vectors is trivial and the space of Ck-vectors is dense.
Phylogenetic diagrams were the only representations for which students used scientific explanations to justify accurate evolutionary relationships among taxa.
However, despite this variety, the statistical framework proposed in this article can be expected to be used in the convolutive mixture case, at least, for methods based on time frequency representations for which, separating time frequency points of noise alone from those of noisy signals can be helpful.
Therefore, one might expect that other representations, for which the human brain may have less specialized circuitry [ 36, 37], will also be task independent.
This geographical metaphor has certain advantages over the database representations for which no global visual image of pathways' functional proximity and crosstalk exists.
