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It happened during the 2010 mid-term election cycle when the Republican Party was catapulted to success on the coattails of a fractional element calling itself first Teabaggers (until someone told them what that actually meant).
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This model takes into account the influences of the excitation frequency and of the displacement amplitude through a fractional derivative element, and a nonlinear friction element, respectively.
This paper proposes a non-integer PE (NIPE) embedding strategy, which can proceed non-integer prediction errors for data embedding by expanding only the integer element of a prediction error while keeping the fractional element unchanged.
In addition, Xiang et al. [14] proposed a non-integer expansion embedding technique which can proceed non-integer prediction errors (NIPE) for embedding data into an audio or image file by only expanding integer element of a prediction error while keeping its fractional element unchanged.
In this paper, we propose a non-integer PE (NIPE) embedding approach, which can proceed non-integer prediction errors for embedding data into an audio or image file by only expanding integer element of a prediction error while keeping its fractional element unchanged.
The bellow rubber viscoelastic property is modeled by a fractional calculus element with only two parameters.
To capture the time dependant viscoelastic properties of asphalt within the XFEM model, a fractional viscoelastic element is successfully used in place of traditional springs and dashpots.
It has been shown that the simplest rheological models with one fractional element can adequately describe MAEs behavior at low and for some cases high magnetic fields where the main contribution to the MAEs elasticity arises either from polymer network or magnetic particle aggregates, respectively.
where w is a binary bit, taking either 0 or 1. Equation (4) can make sure that the fractional element of e w is equal to that of e.
The proposed model incorporates two fractional elements, a CPE and a Warburg impedance.
The momentary creep compliance and the relaxation modulus change with the time at an increasing rate; the fractional orders of the two fractional elements building up the model correspond to the creep or relaxation exponents at the initial glassy stage and the terminal fluid state.
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