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Here, (4.5) represents the associated eigenfunctions to the eigenvalue (lambda_{beta}) and {hat{psi}_{1},ldots,hat{psi}_{M_{beta}}}, is a basis of the eigenspace of dimension (M_{beta}).
where t = l2+l+m+1 and P l m cos θ represents the associated Legendre functions of the l th degree (or level) and m th order (or mode).
One partite set constitutes the complexes, whereas other partite set represents the associated disease classes.
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and represent the associated highpass filters.
Different colors represent the associated subjective quality (from the opinion survey) for a set of YouTube sessions.
To better understand this behavior, we have analyzed these curves jointly with those plotted in Figure 6, representing the associated frame-by-frame bitrate.
Variables A and T represent age at median exposure and time since median exposure, respectively, and φ and γ represent the associated parameters.
A utility function represents the reward associated with the possible goal states of the motion decision problem.
Rank represents the priority associated with each problematic attribute.
Therefore, the first subset represents the basis associated with the largest absolute value of the coefficients.
The value assumed by each random variable represents the displacement associated to a particular pixel.
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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