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A continuous version of the kinetic treatment of consecutive degradation reactions obeying a first order formalism is established.
A continuous version of the Maxwell demon is a machine that repeatedly monitors a system, but extracts work only on state change.
Among the readers, apparently, was Albert Einstein and then Norbert Wiener, the mathematician who had invented a continuous version of the Random Walk, called the Wiener Process.
Three friction laws are examined during the numerical modeling: the discontinuous Coulomb model, a continuous version of the Coulomb model, and a state-variable friction law.
We first present, for the deterministic-system-parameter situation, contract-designing procedures under two contract formats; namely, a "regular" version of [VD] (hereafter "[RVD]") and a "continuous" version of [VD] (hereafter "[CVD]").
They have shown that in the particular case γ(t)= 3t, this is a continuous version of the fast gradient method initiated by Nesterov, with Φ(x t))−minHΦ="O 1t2) as t→+∞ in the worst case.
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Other authors have proposed a more continuous version of this general model, suggesting that slippage occurs even at very short STRs, although at a reduced rate (Pupko and Graur 1999; Noor et al. 2001; Sokol and Williams 2005).
Actually, KDE guarantees a smoothed and continuous version of the histogram.
Since the weighted density is a continuous function of position and number of sites, we used this continuous version of a threshold to reduce irrelevant background rather than a hard cutoff.
The continuous version of a system similar to system (1) has been considered by Chanturia [5] and the discrete version of system (1) by Schmeidel [6, 7] see also references therein.
Additionally, we performed comparisons between the finite Hankel transform and the continuous version over an infinite range (R → ∞) which was evaluated by a Gaussian quadrature resulting in an excellent agreement.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com