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The simplest approach to apply the relation given in eq. 4.3 is the linear method.
Each point represents a specific data pair, which makes it possible to apply the relation while retaining the reliability of the input data.
When we encounter an exponential operator of higher order e λ α s α, where α is integer or non-integer and s = q ( x ) d d x + v ( x ), it is of interest to have an integral representation to reduce the order and apply the relation (1.1).
Then we apply the relation The 95% CI for the difference of the means thereby is Suppose the paired two-sided t-test was used.
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The hybrid FE models have been subjected to simply supported (SS) conditions, clamping the relevant DOFs in the middle location of the ribbons, and allowing, therefore, to apply the relations (12) using a set of constraint equations.
Applying the relation (A14).
We applied the relation between Mellin and Laplace transforms.
The amount of dust attenuation is then calculated by applying the relation of Buat et al. (2011a).
By applying the relation between the joint Gaussian distribution and its corresponding conditionals, we arrive to a suitable proposal density for the M-H algorithm given by (37).
By applying the relation between integer system's characteristic equation and fractional system's characteristic equation, some brief sufficient stability conditions are deserved.
Assuming Vegard's law to hold for In x Al1-xN and considering the biaxial strain in the layer, the indium composition can be determined by applying the relation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com