Sentence examples for by applying the relation from inspiring English sources
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.
Then for every word (w') obtained from w by applying the relations of (tilde{S}( MM _4)) we have (alpha _j(w')=alpha _j w)), (j=1,2,3,4), u(w) is obtained from (u(w_1)) by applying relations of (S( MM _2)).
The evaluation value f((S,s)) can be calculated, which is the original problem's optimal value, by iteratively applying the relation for j=n,n−1,…,1 with initial values f((n,s))=iv(s).
Alternatively, it can be determined analytically by applying the following relation.
The symmetric real valued function s is then determined by the differential equations that results by applying the commutator relation − v d d ω s = s.
By applying the Wronskian relation (Lebedev1965) to simplify the denominators of Equations 31 and 32, and then utilizing Equations 28 to 30, the wavefields in region 2 recover the free wavefields shown in Equation 6.
By applying the WFL relation, the number of experiments required to determine the material properties for different lead-free solder/IMC interconnects can be significantly reduced, which can lead to pronounced savings of time and cost.
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).
