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The title problem is solved by using linear analysis and the Rayleigh-Schmidt method.
In the proposed method, inelastic design forces and deformations of individual members were directly determined by using linear analysis for secant stiffness.
In this study, we investigate the dispersive properties of smoothed particle magnetohydrodynamics (SPM) in a strongly magnetized medium by using linear analysis.
The electromagnet exhibits nonlinear force-current-distance characteristics, and if controllers are to be designed by using linear analysis, the air-gap is restricted to a small region around the chosen nominal operating point.
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Preliminary results obtained by our group using linear analysis of pupillometry indicate that the adrenergic function is dysregulated in patients with TMD [ 29].
Control limitations imposed by the system are assessed using linear analysis of the highly non-linear dynamics.
The work in [21] focused on the different results that can be obtained even using linear analysis by just changing the element types.
The linearity of the method was investigated by using linear regression analysis.
By using linear functional analysis theory, we can prove X, (X^{1}) are Banach spaces.
Especially by using linear stability analysis, the condition for the quenching phenomenon is derived.
Based on the experimental data, heat transfer coefficients are evaluated by using linear regression analysis.
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