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Our method avoids the necessity of calculating the expression of the Green's function.
The proposed method includes the strain hardening benefits for stocky sections, and abolished the necessity of calculating effective cross-sectional properties for slender sections.
So, we make a general characterization for the general operator (T_{n}[M]) and we avoid the necessity of calculating the Green's function and to study its sign dependence on the real parameter M.
This is necessary to decide the necessity of calculating new depth maps for various frames if it is in fast motion or assuming the same disparity for a collection of similar consecutive frames in slow motion, saving computing time.
Solar energy is the feedstock for various applications of renewable energy systems, thus, the necessity of calculating and using global tilted irradiance is acknowledged for the computations of the performance and monitoring of Photovoltaic (PV) Parks and other solar energy applications.
The determination of the peak factor is quite cumbersome in the case of a non-stationary process, due to the necessity of calculating the non-geometric spectral moments of the process and obtaining the threshold level of the first-passage problem corresponding to a certain non-exceedance probability value.
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Thus, for inclusive fitness calculations, weak selection is a necessity to avoid the intricacies of calculating relatedness in a system with strong selection, which is usually an insurmountable task.
Boudewijnse, et al. do not seem sufficiently to distinguish the mathematical possibility of calculating a negative value for \(R_c\) from the theoretical necessity of always interpreting such a value as = 0 (Boudewijnse, et al. 1999: 175).
The sign of this coefficient and hence of the in-plane group velocity near cutoffs decides the existence or non-existence of the backward Lamb waves without a necessity to calculate the dispersion branches.
The usefulness of this approach and the necessity of performing 3D calculations are illustrated by calculating the exit effects of single abrupt outlet configurations of different outlet surface area.
The present results underscore the necessity of integrating microdialysis and calculated indices of downstream metabolism such as L/P, L/Glc, and L/Glu for bedside evaluation of otherwise occult changes in cerebral metabolism.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com