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This mathematical procedure has been explained in detail elsewhere [13, 18, 39].
In this work, a new mathematical procedure has been developed to automatically generate the hull form of planing tunnel vessels.
A new mathematical procedure has been proposed for the determination of crack bridging stresses from perturbed crack opening displacements (COD) in fiber composites.
A mathematical procedure has been developed in order to deconvolute these chromatograms and has been validated, thanks to blends of polystyrene standards.
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The algorithm has the following features: (1) the phase selection procedure is easy (no stability test is needed); (2) the Gibbs phase rule is guaranteed; and (3) the mathematical procedures have thermodynamic meanings.
A mathematical modelling procedure has been developed to generate synthetic vertical force signals induced by a single person jumping.
6 This procedure has been described most fully by Hoem and Kostova (2008), to whom we refer for mathematical aspects of the approach we use.
The increasing development of sophisticated mathematical models and computer-based procedures has had a positive impact on our understanding of cancer-related mechanisms and the design of anticancer treatment strategies.
Explicit mathematical rules for identifying optimal allocation could be developed when cost functions were linear, while non-linear cost functions implied that parts of or the entire optimization procedure had to be carried out using numerical methods.
Thus far, the studies have adopted a mathematical procedure which transforms chemical properties into numeric features, the so-called "molecular descriptor".
Elsewhere, Reichenbach puts more emphasis on finite frequencies and even suggests that limiting frequencies are simply a mathematical device for justifying inductive procedures ('A letter to B. Russell', 1978, vol. II, p. 405 406).
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