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The regression equation for output machining characteristics (MR and SR) and input parameters can be obtained using generalized Eq. (2) and experimental data in Table 2.
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Generalized identities are obtained using generalized Montgomery identity and new Green's functions which further establish the extension of Popoviciu inequality from a convex function to higher order convex functions along with real weights.
In our DFT studies, the electronic and structural properties of the graphene-substrate system have been obtained using generalized gradient approximation, namely the Perdew-Burke-Ernzerhof (PBE) functional, to the exchange correlation potential.
Estimates were obtained using generalized estimating equations (SAS v9.1).
Estimates were obtained using generalized estimating equations with exchangeable correlation and robust standard errors.
Gains and losses for each cluster were obtained using generalized parsimony with ACCTRAN in PAUP* 4.0b10 (Wilgenbusch and Swofford 2003) using the following costs for events: 10 for ortholog acquisition, 5 for ortholog loss, 1 for the first gene duplication, and 0.2 per copy for all other copy-number variations.
Viscoelastic relaxation spectra were obtained using the generalized Maxwell model.
Exact solutions for basic shells with different combinations of primary boundary conditions are obtained using the generalized Navier method.
Prior to testing, a detailed material characterization was carried out and signature curves (critical load x length) were obtained using a generalized beam theory (GBT) software for predicting critical loads.
Then, relative timing indices and the corresponding CIR estimates of all transmit receive links at the second stage are obtained using the generalized maximum-likelihood estimation based on a sliding observation vector.
Exact three-wave solutions including periodic cross-kink wave solutions, doubly periodic solitary wave solutions and breather type of two-solitary wave solutions for the Jimbo-Miwa equation have been obtained using the generalized three-wave method in [32].
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