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These two coupled equations were solved with a good approximation which is a definition of a weighted function for moisture distribution.
Important applications of the smoothing technique may be found in calculating a sigmoid approximation, which is a common topic in various contexts in applications in disciplines like physics, economics, biology and engineering.
Economic network data such as input output tables usually contain errors, or they always just constitute an approximation, which is a central issue in input output analysis (e.g., Dietzenbacher 1995, 2006).
It is mentionable that the fluence in P3 approximation, which is a real alternative to the often used diffusion Green's function, can be evaluated completely analytically without a numerical eigenvalue decomposition.
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The formulation is a far-field approximation which is exact for a far-field in-plane observer.
Instead we approximated relative risks by the odds ratios obtained from logistic regression models, an approximation which is reasonable for a rare disease such as childhood ALL.
We remark that this is an approximation which is valid only in the proximity of a Dirac point for an infinite, ideal and un-doped system (see Ref. [21] and references therein).
The latter assumption is an approximation which is fulfilled perfectly only for the a priori pdfs of different symbols but not for their a posteriori pdfs conditioned on the computed soft symbols.
Regarding the DG approach, it relies on the use of a polynomial space approximation which is spanned by a Taylor basis.
The mathematical model partly overcomes the shortcoming of some existing models based on the undepleted pump approximation, which is derived from a nonlinear system of Maxwell equations.
Compared to the classical linear driving force approximation, which is characterized by a constant mass transfer coefficient and displays large errors at the initial adsorption stage, the present one exhibits rather good accuracy particularly at short times.
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