Note that measuring the quality of created k-clique matchings as compared to the optimal solution is not possible as it is computationally infeasible to derive the latter.
To derive the latter, the technique of the center manifold reduction, Iooss's Hopf bifurcation theory and Wan's Hopf bifurcation theory for resonance cases are employed.
Instead of assuming completeness and on that basis deriving that incompatible quantities can have real values simultaneously, they simply set out to derive the latter assertion without any completeness assumption at all.
The standardized weights used to derive the latter study's results, however, corresponded to a limited range of low intensities in our study, for which, in isolation, the relationship could also be interpreted as rectilinear.
This partnership has recognized the key relationship between an indicator of health and an indicator of health disparity, and has provided leadership in deriving the latter from the former.
ICER analysis was undertaken by comparing the costs of the models to the final effect measure of life years gained (LYG), with life table outputs being used to derive the latter.
This material became known to western Europeans during medieval times, partly through their contacts with the Muslim world during the Crusades, although, as the Europeans linked this new material with what they could rediscover in ancient Greek and Roman work, they frequently stressed misinformation derived from the latter, notably in Ptolemy's inaccurate maps.
The optimal grids are found based on the minimization of the total FDE, where analytical expressions are derived for the latter.
The strain energy of the solid finite element formulation of the absolute nodal coordinate beam is based on the St. Venant Kirchhoff material: therefore, the strain energy is derived for the latter case and compared to classical nonlinear rod theories.
Of all the three advanced logging responses of macrolithotypes, the NGS and XMAC show a good consistency with the natural gamma (GR) and interval transit time (AC) loggings since the former was derived from the latter essentially, respectively.
