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Copas [ 15] says that ' …a good predictor may include variables which are "not significant", exclude others which are, and may involve coefficients which are systematically biased'.
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This analytic solution involves coefficients which are determined by matching with the finite-difference solution farther away from the particle.
The macroscopic model of the first type involves coefficients responsible for interactions between the electric field and the pore pressure, or the pore volume.
The code fragment shown in Fig. 9 a is used to perform multiplications involving coefficients b k and previous entries, in (1). Figure 9 b shows the code in Fig. 9 a converted into some assembly instructions, using the compiler CCS v4 [63].
Such structures involve variable coefficients in the governing equations, which in general cannot be solved analytically in closed form.
The resulting governing equations of motion involve periodic coefficients, which are not in the form of standard Mathieu-Hill equations.
Due to the fact that previously proposed CFQM exponential integrators of order five or higher involve negative coefficients in the linear combinations, severe instabilities are observed for spatially semi-discretised parabolic equations or for master equations describing dissipative quantum systems.
Recently, Chang and Xu gave a probabilistic proof of a combinatorial identity which involves binomial coefficients.
Each Feynman diagram represents an integral involving the coefficients of a vertex and propagators.
A variational model involving curvelet coefficients for cleaning multiplicative Gamma noise was considered in [23].
For the high sound level regime, an empirical power law involving three coefficients is adapted.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com