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The modes include a non-linear modification to the linear, harmonic component as well as a static offset term and second and third harmonic components.
Within the problem of the authority estimation, we have used the non-linear modification of the polynomial function in the form (y = b_{0} + b_{1}x^{c_{1}} + {cdots } + b_{n}x^{cn}).
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These waves are propagating in a collisional, weakly magnetized ionosphere, and it has been argued that as such they should be damped through collisions, and the wave should not retain the characteristics of the whistler-mode because of non-linear modifications to the dispersion relation.
In the numerous works trying to describe the free vibration of stretched elastic strings, phenomena due to non-linear geometrical modifications in a three-dimensional large amplitude motion are separated from those due to the string's stiffness, in which case torsional vibrations cannot be taken into account.
No non-linear image modifications were performed.
Estimates of additional heat wave effects in models of temperature-related mortality can be interpreted as a constrained form of non-linear effect-modifications between lags of high temperature (or, similarly lag interactions).
For the non-linear model, a modification was made to join the cross members as on the actual tower (Fig. 10).
In order to estimate the effects relating to several days consecutive heat exposure above a certain threshold one would need to include non-linear interactions (effect-modifications) between the temperature lag effects.
This allows sophisticated non-linear and delayed effect modification to be estimated and tested statistically.
Non-linear analysis required some modifications to the tower model that was used in the elastic static analysis.
Both of these observers are applicable to linear and with a modification to non-linear systems.
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