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(K0 + K1Isc) is the minimum condition obtained with Isc = 0.
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However, here we give minimum conditions to obtain our results in this paper.
Closed-form expressions for the instability conditions obtained in this study are employed to predict the minimum level of damping required to ensure almost-sure asymptotic stability.
Nowhere, and in no century, have these conditions obtained.
The optimization problem to obtain the minimum condition number is converted to three standard Eigen value optimization problems.
That is the minimum condition for a European recovery.
A variational statement of the problem is made and the necessary conditions for a minimum are obtained as a system of non-linear equations which are solved numerically.
The parameter which is included in the obtained expressions is get from the minimum conditions of the critical axial load.
The parameter λ which is included in the obtained expressions is get from the minimum conditions of critical external pressures.
The parameter λ which is included in the obtained expressions is get from the minimum conditions of the critical external pressures.
Furthermore, parameter λ which is included in the obtained formulas is get from the minimum conditions of critical stresses and frequencies.
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