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Based on this crystal structure, we simulated ligand exit from the β2AR receptor by applying the random acceleration molecular dynamics (RAMD) simulation method.
To overcome such limitation, a numerical technique developed in the field of system identification is introduced into the finite element method by applying the random field theory.
A diagnostic model was obtained by applying the random forest (RF) method to the training set [54].
This was taken into account first by applying the random effect model.
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We then conduct strong ground motion simulations 10 times by applying the different random values and obtain the average seismic intensity on the ground surface of those 10 simulations at each base mesh.
By applying the Born approximation to the random inhomogeneities in this area as with Takahashi (2012), we confirmed that Q −1 of backscattering was less than 3%% of the estimated Q −1 in the study area.
By applying the Chernov bound to the random variate E y, we obtain Pr { | E y − E E y | ≥ δ } ≤ 2 · exp − δ 2 / 2 σ E y 2. Thereby, in order to demonstrate (12), it suffices to show that E E y = E z and Var E y = o ( P ) for the case under concern.
The most efficient and economical system could be identified by applying the model in a random computer search.
By applying the methods of linear random dynamics, the maximum dynamic response of the footbridge is evaluated based on an analytical formulation of the load and the frequency response function (FRF) of the coupled crowd-structure system.
Since N and W display only weak inter-dependency, our results show that the fat tails of the distribution P{G>x} arises from W. Finally, we review recent work on quantifying collective behavior among stocks by applying the conceptual framework of random matrix theory (RMT).
By applying the same algorithm to random protein-domain graphs with the same node degrees (see below), we were able to assign an empirical p-value to each CDS.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com