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Furthermore, it elucidates and simplifies the derivation of the transport equation previously investigated by [P.P. Singh, J.H. Cushman, D.E. Maier, Multiscale fluid transport theory for swelling biopolymers, Chemical Engineering Science 58(11) (2003) 2409 2419], while continuing to capture the important features.
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The introduction of multipliers also simplify the derivation of robust stability tests based on quadratic or parameter-dependent Lyapunov functions.
More precisely, Schur complement lemma, free weighting matrix approach and Wirtinger-based double integral inequality are utilized to substantially simplify the derivation of the main results.
In addition, it will greatly simplify the derivation of the channel identifiability conditions.
Alternatives to the covariance update (5c) exist, but the shown Joseph form [3] will simplify the derivation of the EnKF.
Gaussian approximation has been a popular method to simplify the derivation of BER equation in energy detection UWB systems.
In order to simplify the derivation of the DF receiver, we will assume that there are no decoding errors.
A popular method for energy detection, called Gaussian approximation, has been developed to simplify the derivation of the BER formula.
To simplify the derivation of an approximation of the PAPR distribution, we will consider the discrete-time definition of the PAPR.
First, to simplify the derivation of the joint distribution of R, we assume that all the R i in (15) are independent.
Clauser and Horne (1974) prove a mathematical lemma in order to simplify the derivation of their Inequality, and Aspect (appendix of 1983) adapts the lemma for the purpose of simplifying the proof of the BCHSH Inequality (16).
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