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The velocity fields are obtained using a perturbation analysis.
A general model is developed and using a perturbation analysis six independent degenerate models are derived.
This result is arrived at using a perturbation analysis exactly as considered in the previous subsection.
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The numerical results are compared with a closed-form analytical solution obtained using a perturbation method and a parametric analysis of the system is performed using the perturbation solution.
This mathematical model was used to perform the thermal stability analysis of the dynamic system using a perturbation method.
In a previous paper, a perturbation analysis was used to derive the response of a gyroscopic system with small internal damping.
A subsequent simplification using regular perturbation analysis gives a closed-form solution that allows the approximative calculation of the residual velocity and hence the ballistic limit.
We use a perturbation method around an equilibrium.
In the presence of two primary plate waves (Rayleigh-Lamb or shear horizontal modes) propagating in arbitrary directions, an explicit expression for the modal amplitude of nonlinearly generated wave fields with the sum or difference frequency of the primary modes is derived by using the perturbation analysis.
Using the perturbation analysis (Section 4), two upper bounds for the channel estimation performance of the OFDM system with CFO ε=0.03 can be obtained.
Using network perturbation analysis to assess drug phenotypic activity, we tested three multi-targeted anti-angiogenic kinase (MAK) inhibitors: Sunitinib, PTK787, and LY2401401.
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CEO of Professional Science Editing for Scientists @ prosciediting.com