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The added complexity of the KFE approach is only worth the effort in studies that combine data acquired on equipment with hugely variable analytical precision.
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By using the method of separation of variables, analytical investigations are performed for combined transient rotating electromagnetohydrodynamic (EMHD) flow of an electrically conducting, incompressible and viscous fluid between two slit microparallel plates.
Based on this model and considering that unencumbered service time (UST) and cell dwell time (CDT) of SUs are independent generally distributed random variables, analytical formulae for both the probability distributions of channel holding times and inter-cell handoff attempts rate are derived.
The variables (analytical markers) comprised the amino acid composition, carbonyl index, crystalline index, molar mass from SEC, acidity, Young's modulus, elongation at break and tenacity at break (see Electronic Supplementary Material).
Taking into account these results, we decided to implement the exploratory PCA model using a total of 11 samples (observations) and 24 variables (analytical markers), as described in Fig. 7.
Since the kernel of the variable-order operators has a variable exponent, analytical solutions to variable fractional-order differential equations are more difficult to obtain.
Instrumental variable: An analytical technique, traditionally used in non-randomised research studies, that uses a variable associated with the factor under study but not directly associated with the outcome variable or any potential confounders.
Thus, it is desirable to include both objective and subjective land use variables in analytical models.
Based on the method of separation of variables, the analytical expression of each subdomain is derived.
After excluding samples with missing values for key variables, the analytical sample for this study consists of 14,698 individuals.2.2
These discrepencies may be attributable to differences in the variables and analytical methods used, and could also result from the complex interactions noted in multivariate analysis.
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