The solution obtained by a novel approximation method shows perfect agreement with the analytical solution in limiting cases and provides, for the first time in this class of polymerization problems, full multidimensional results.
In this paper we will show that the notion of transitive F-closed (or F-invariant) set is equivalent to the concept of preordered set and, then some recent multidimensional results using F-invariant sets can be reduced to well-known results on partially ordered metric spaces.
Very recently, Karapınar et al. [49] showed that the notion of a transitive F-closed (or F-invariant) set is equivalent to the concept of a preordered set, and then some recent multidimensional results using F-invariant sets can be reduced to well-known results on partially ordered metric spaces.
Imaging biomarkers are usually noninvasive and generate intuitive, multidimensional results on both qualitative and quantitative data.
The 2006 Zorgbalans is comprehensive, robust, and multidimensional, resulting in a set of 125 indicators that are recognizable, relevant and appropriate for their policymakers [ 15, 21, 22].
These results can be used as an efficient tool to study various fixed point results such as fixed point results in partially ordered spaces, fixed point results for cyclic mappings, multidimensional fixed point results (coupled fixed point results, tripled fixed point results, quadrupled fixed point etc).
Multidimensional computational results are presented to demonstrate the order accuracy of these numerical methods.
Multidimensional computational results are presented to demonstrate the second-order accuracy of this numerical method.
Nonlinear and multidimensional spectroscopy results when a light-field perturbs a molecule so that subsequent light-fields see changes in the molecular states.
The main steps of the procedure are: construct the attribute set; construct the evaluation object set; construct evaluation perspectives with corresponding attributes and weights; select evaluation algorithms for different perspectives; and carry out cluster analysis on the multidimensional evaluation results.
