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Additionally, we provide the mathematical link between TJDF and the orientation distribution function, which should facilitate the use of materials design paradigms on the grain boundary network.
Therefore, the symmetry of R-histogram, which describes the mathematical link between R AB and R BA, is deduced as R BA v n = 1 / R AB v N − n. (4).
The Levinson Durbin recursions for the three-channel section can be developed similar to the two-channel section by establishing the mathematical link between transversal and lattice filter coefficients.
Therefore, one more procedure is inevitably required – a so-called energy transformation procedure, which constructs a mathematical link between the energy functional derived herein and a simpler engineering model, such as a generalized Reissner Mindlin model.
Since the mathematical link between process parameters and reflection coefficients of a lattice prediction filter is provided by the Levinson Durbin algorithm[48, 49], we develop a new Levinson Durbin type conversion algorithm specifically for SPMLSs in order to convert lattice reflection coefficients to subband ARMA process parameters.
Certain theorems establish a mathematical link between a causal diagram and the expected association between any two displayed variables.
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We establish exact mathematical links between the n-dimensional anisotropic and isotropic Green's functions for diffusion phenomena for an infinite space, a half-space, a bimaterial and a multilayered space.
An additional, deeper mathematical link connects Hamilton's model of space with dynamical processes in time.
It is therefore unclear whether the mathematical links reported in this study would vary over time.
But that obvious observation conceals a precise mathematical description: the link between the severity and frequency of conflicts follows a smooth curve, known as a power law.
People have always accepted bogus claims, agrees John Allen Paulos, a mathematician and the author of "Innumeracy" (Farrar, Straus & Giroux, 1989), which examines the link between mathematical illiteracy and the susceptibility to pseudoscience.
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