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Since the exact expression of scattering matrix is too complicated to apply, the current pre-stack seismic inversion method uses the first order approximation to estimate the stratigraphic elastic parameters, assuming the elastic parameter contrasts are small.
Supervector, which uses the first order differences between low-level features and visual words, is a simplification of the Fisher vector.
Figure 6 uses the first order kinetic model to fit the experimental drug concentrations vs. time for Compound A7 at four temperatures: 40, 50, 60, and 80 °C.
This paper uses the first order kinetic approach to calculate degradation due to ASR for concrete outerpack which is based on Ulm et al. (2000) and Saouma and Perotti (2006) and the experimental work by Larive (1998).
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This algorithm uses the second order design (SOD) that estimates the weight for each measurement.
The reliability analysis was carried out using the First Order Reliability Method (FORM).
The problem is studied using the first order shear deformable (or the Mindlin) plate theory.
Transverse shear deformation is taken into account using the first order shear deformation theory.
The equations of motion are obtained using the first order shear deformation plate theory.
The dynamics of the system are studied using the first order correlation function (G(1)(t,τ)).
For that purpose, a novel modeling technique approximating the angular rate using the first order Gauss-Markov process is proposed.
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