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The total number of MSG genes was also estimated using a modified Petersen-Lincoln estimator [ 99].

The distribution and maximum value of the interfacial shear strength has been estimated using a modified shear-lag model.

The volume of material eroded from the breach was estimated using a modified version of the GMT resurfacing technique developed for lava flows9, with the reconstruction of the pre-erosion surface done in two phases in order to recreate the steep slope inside the caldera (Supplementary Figs 5 and 6).

In the developed adaptive AQM (ACDM), the output feedback pole placement is implemented in an indirect model reference adaptive control (MRAC) scheme, in which the closed loop characteristic polynomial is determined by CDM and the system parameters are estimated using a modified recursive gradient method.

The concentration of phenolics in the honey samples was estimated using a modified spectrophotometric Folin Ciocalteu method [17].

The position of λm of photonic crystals with the FCC crystal structure can be estimated using a modified form of Bragg's law with respect to normal incidence: λ m = 1.155 · a · 0.24 · n v 2 + 0.74 · f · n sh 2 + 1 − f · n c 2, (1).

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To perform this analysis, we derived the PSD estimate using a modified periodogram method (with a Hamming window, 240 s) for each subject's respective RSN time-series (i.e., 5×2 common RSN patterns+2 specific RSNs per subject = 12 in total).

For each model, the protein synthesis rate was estimated using an appropriately modified MCMC scheme.

Selection for ORF maintenance was estimated using a parametric simulation approach modified from Katzourakis and Gifford [ 8].

This was done using areas estimated using a dot counting technique and modified subjectively according to the knowledge regarding the distribution of resources and land uses.

The glomerular filtration rate was estimated by using a modified Modification of Diet in Renal Disease (MDRD) Study formula[ 15]: estimated GFR (eGFR, mL·min-1·1.73 m-2) = 175 × standard (Scr -1.234 Scr -1.2349 × age-0.179 age-0.179

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