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This way, overflows can be avoided by using a representation capable of accommodating the signal range related to y(n).
The latter theories evaluate actions by using a representation of the contingencies of the task (as with a learned map of a spatial maze), called an "internal model".
Inelastic forces are obtained by using a representation of the energy landscape that involves the concept of reaction pathways with respect to the point group symmetry operations of crystal lattices.
It is not our intention to cause offence by using a representation of Manchester Cathedral in chapter eight of the work.
Using kernel methods is an elegant and versatile strategy because it decouples the original data from the machine learning algorithms by using a representation of the data as a kernel matrix.
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This is obtained by using a vector representation.
By using a mixture representation, inferences are performed via Gibbs sampling.
All the above three optimization techniques have been made possible by using a novel representation scheme.
Figure 1 The STIFF-FLOP robot mimics the octopus reaching motion after skill transfer by using a probabilistic representation based on dynamical systems.
We overcome this obstacle by using a compact representation of all squares (based on maximal cyclic shifts) which requires only O(nlogn) space.
The manufacturing process sequence was determined by using a profile representation method which incorporates a two-dimensional matrix containing a number coding system to represent the part profile (Ngoi and Ong 1993).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com