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The weight of each element was understood to be preserved in chemical reactions.
The weight of each element is equal to the inverse of the square of the measurement uncertainty: w_{l} = frac{1}{{sigma_{l}^{2} }} (9).
Given the limitations of QFA described previously, this interpretation is based on the factor scores (the weight of each element on the discrimination of a single factor) and the broad compositional scores produced by the modeling.
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In addition, we introduce Dempster Shafer theory to identify the relative reliability weights of each element in the proposed model and present a searching algorithm based on differential evolution and encoding repair.
Afterwards, through solving the largest eigenvalue and corresponding eigenvectors of the judgment matrix, each level weights of the relative importance of various elements will be determined by the formula below: A W = λ max W (6 where A is the comparison matrix; λmax is the largest eigenvalue; W is the corresponding eigenvectors indicating weights of each element.
By using calculated Green's functions of element moment tensors (G) and observed data d, the least square solutions for weights of each element moment tensor (a i ) were obtained by using the following equation: {mathbf{A}} = left( {{mathbf{G}}^{text{T}} {mathbf{G}}} right)^{ - 1} {mathbf{G}}^{text{T}} {mathbf{d}} (2).
In the present study, we used geometric mean method (GMM) to estimate individuals' relative weights of each element.
Most standard periodic tables list the relative atomic masses (atomic weights) of each element.
Figure 9 illustrates the performance of IM-NDM described above under the additive noise attack, together with DC-DM, and the distortion compensated NDM (DC-NDM), namely IM-NDM taking the same weight for each element of q e j, where the DC value is set to 0.66 for the latter two schemes.
Given a pairwise comparison, the analysis involves three tasks: (1) developing a comparison matrix at each level of the hierarchy starting from the second level and working down, (2) computing the relative weights for each element of the hierarchy, and (3) estimating the consistency ratio to check the consistency of the judgment.
The unconventional well complexity index is calculated using five major level-1 elements, and the weight of each sub-element was calculated using the factor analysis statistical method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com