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It is a mathematical procedure and can be calculated from the eigenvalue decomposition of the data covariance matrix.
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Doing Mathematics Activity is inherently disciplinary in nature, and students need to acquire the mathematics-specific disciplinary skills, knowledge and disposition to understand mathematics deeply, debate, and discuss mathematical procedures and concepts, and appreciate the importance and relevance of mathematics.
The detailed mathematical procedures and formulas of the proposed Transformed Rayleigh method are given in this article, and the second order Stokes wave model has been integrated into this Transformed Rayleigh method.
We thank Prof. O. Tirkkonen for clarification of mathematical procedures and M. Marjamäki for technical research assistance.
Furthermore, risk assessors are not often well-trained in relevant mathematical procedures and hence there is inherent reluctance to adopt computationally intensive approaches with which they are poorly familiar.
As the closed-form solution is not possible, by means of a numerical procedure, the obtained integral equation is solved and the accuracy of numerical procedure and mathematical formulation is verified through comparison with the available results for the relevant analysis in isotropic solids.
'The molecular descriptor is the final result of a logic and mathematical procedure which transforms chemical or biological information encoded within a symbolic representation of a molecule into a useful number or the result of some standardized experiment' [51].
A molecular descriptor is defined as the "final result of a logical and mathematical procedure, which transforms chemical information encoded within a symbolic representation of a molecule into a useful number or the result of some standardized experiment" [1].
As defined by Todeschini and Consonni [31], a molecular descriptor is the final result of a logical and mathematical procedure that transforms chemical information encoded within a symbolic representation of a molecule into a useful number (calculated descriptors), or the result of standardized experiments (experimental descriptors).
According to Todeschini and Consonni [93], a molecular descriptor is the 'final result of a logical and mathematical procedure which transforms chemical information encoded within a symbolic representation of a molecule into a useful number or the result of some standardized experiment'.
Molecular descriptor is the final result of a logic and mathematical procedure which transforms chemical information encoded within a symbolic representation of a molecule into a useful number or a result of a standardized experiment [ 23].
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