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Second, we propose an a posteriori error indicator, which corresponds to the dual norm of the residual associated with the time-averaged momentum equation.
We previously advocated for a modal monitoring algorithm based on a residual associated with subspace-based covariance-driven identification and on the statistical local approach to the design of detection algorithms.
Compared with ILSR, IPR propagates the reconstructed residual associated with the sampled vertex to the unsampled vertices in the respective local-sets.
According to the explanation in Section 3.3, the global-bias diffusion operation first projects the reconstructed residual associated with the downsampling set onto the low-pass filtering subspace, then preserves the non-downsampling set of new signal.
The value of R2 is the adjusted residual associated with a cell containing the number of genes down regulated by CR (or aging) in both signatures.
This model includes fixed effects associated with the subject-level covariates (β-values), a random effect associated with the intercept for each subject (α i), and a residual associated with each observation (ɛ ij).
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The image_resid function can be called with no arguments, in which case an image of the residuals associated with the default data set is sent to ds9.
The delta chi residuals associated with the first background data set loaded for source data set 2 is written to FITS file 'delchi.fits' (note the 'ascii' parameter default is False).
The data-minus-model counts residuals associated with the first background data set loaded for source data set 2 is written to FITS file 'resid.fits' (note the 'ascii' parameter default is False).
Here, the contour_resid function clears the previous plot and sends to ChIPS a contour plot of the fit residuals associated with data set 3. This command sends to ChIPS a cached contour plot of the fit residuals of the default dataset, without clearing the previous plot.
UDECON also provides estimates of errors and residuals associated with the optimized deconvolution.
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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