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Although an attempt was made to quantify the size of radiographic lesions, in this study, the vertical (length-wise) dimension was not considered as it may be constrained by anatomic borders, such as the maxillary sinus or mandibular canal.
The length-wise dimension (L) was measured as the diameter of the radiolucent area along an imaginary axis that was an extension of the apical (curved) portion of the root.
Then we are using AHP approach in which we have done a pair wise comparison of each dimension and their determinants and then calculate their local and global weights.
In this paper, a dimension-wise analysis method is thus proposed to overcome these potential limitations.
A dimension-wise method for predicting fuzzy energy flows between structural vibrating systems coupled by joints with epistemic uncertainties is established.
α is the maximum average dimension-wise deviation allowed for a fragment pair to be considered similar.
Therefore, by calculating pair-wise distances in sufficiently high dimension, the group memberships of the study subjects can be resolved, and U can be reconstructed almost perfectly.
The i-supervector is processed element-wise with warping functions mapping each dimension to a standard Gaussian distribution (instead of uniform distribution as in rank norm).
The Local Market Dimension Internet entrepreneurs would be wise to focus first on their local markets and then look outward, not vice versa.
To quantify global impact of one parameter on a given observable (like RMSD), we evaluated the distribution of point-wise changes in the observable along the dimension of a specific parameter.
An analytical model is constructed as follows: point-wise displacements and areal dimensions are scaled; strain energy and actuation work are computed using high-order displacement polynomials; and net energy is minimized using the Rayleigh-Ritz method to calculate stable shapes as a function of actuation force.
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