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It can be deduced that the time transformation approach offers simple and accurate approximations for the oscillators considered.
The rate-modulated Poisson process generated by the STS model is related to a homogeneous Poisson process with constant rate by the time transformation Eq. (16).
The time transformation T=Ω̄t is used in obtaining these approximations; also detuning is used in obtaining the square of the forcing MMS approximations.
This paper presents the results of an analysis of an elastically restrained tapered cantilever beam using the harmonic balance and the time transformation methods.
Comparison of the present models with some of the existing ones, and comparison of the time transformation results with those of the harmonic balance, and existing ones are presented.
Because of the particular non-linear terms in the temporal problem in both formulations, the time transformation approachis used to obtain an approximate solution to the period of oscillation.
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This is also the time-transformation on which the time-rescaling theorem is based [2].
The server performs the appropriate time transformation according the user's time zone based on current location information.
The real time transformation reactions were observed by collecting a spectrum every 1 – 5 minutes.
After the rescaled time transformation, (4.2), (4.3), and (4.4) can be rewritten as follows: begin{aligned}& left { textstylebegin{array}{l} left.
Therefore, the quadratic time transformation of an arbitrary Horn production rule base to an equivalent irredundant and prime one (presented in [9]) provides a reasonable approximation algorithm.
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