The amount of dust attenuation is then calculated by applying the relation of Buat et al. (2011a).
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.
In Section 3, applying the intertwine relations of differential operators, we study one representation of real analytic functions by Dunkl-harmonic functions.
If a word (w(c')) can be obtained from a word w(c) by applying the defining relations of S(M) then (cequiv _M c').
The same observation applies to the relations of the Groups II, III and IV with regard to the relations (28)–(30), respectively.
Fukuwa et al. (2003) calculated the peak horizontal velocities on the engineering bedrock, for their three assumed models of the 1891 Nobi earthquake, by applying the attenuation relation of Si and Midorikawa (1999), and calculated peak ground velocities using the amplification factor of Matsuoka and Midorikawa (1993).
Each point represents a specific data pair, which makes it possible to apply the relation while retaining the reliability of the input data.
To prove Properties (P) and (Q1) notice that the exponents of (q_i, a_j,A_j) do not change when we apply the defining relations of these semigroups to w.
One major problem for integrating study results into a common body of knowledge is the relatively limited measurements applied, and the relation of the widely used self-reporting methods with more objective measurements, such as biophysical ones.
The same applied for the relation of EPS proteins concentrations to adhesion (MagPI) and cohesion (CSM) of the surface for B and BD, while for D the relationships were not significant (Fig. 5, Table 4).
