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The non-linear behavior of the joint cannot be approximated with accuracy by a linear model.
Also, for any (pge1), we introduce the space of regulated signals (f:[a,b]rightarrow W) ((a< b) are real numbers, and W is a Banach space) that may be uniformly approximated with accuracy (delta>0) by signals whose total variation is of order (delta^{1-p}) as (deltarightarrow0+) and prove that they satisfy the assumptions of the theorem.
Next, to obtain more precise results, for any (pge1), we introduce the space (mathcal{U}^{p} ( [a,b ], W )) of regulated functions/signals (f:[a,b]rightarrow W) ((a< b) are real numbers, and W is a Banach space) that may be uniformly approximated with accuracy (delta>0) by functions whose total variation is of order (delta^{1-p}) as (delta rightarrow 0+).
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It is developed with an heuristic belief that if both the value function can be approximated with sufficient accuracy and optimal policies with respect to the approximated value function can be learnt, then the true optimal policy can be approximated with sufficient accuracy.
We show that the method preserves the total mass whereas momentum and energy are approximated with spectral accuracy.
A thin rectangular stainless-steel plate has been inserted in a metal frame; this constraint is approximated with good accuracy by the newly introduced boundary condition.
Is is shown that the asymptotic performance of the structure can be approximated with good accuracy with (13) leading to a direct link between a desired asymptotic performance level and step-size value for the FD estimator ν.
The control propagator is therefore written (tilde {U} tau) = exp [-isum_{mu= 1}^{infty} mathbf {a}_{mu} tau cdot boldsymbol {sigma }]) and may be approximated, with arbitrary accuracy, as a unitary operator in simple exponential form.
Several experiments illustrate that when the 3D surface is approximated with satisfying accuracy, modifications in the triangulation do not have any significant influence to the result of the proposed method.
Furthermore, identical reaction kinetics for ESC2 (kF = kL ≈ 0.151 d− 1) and ESG1 (kF = kL ≈ 0.109 d− 1) reveal that the cumulative methane progression of the respective samples can also be approximated with equal accuracy by single first-order reaction kinetics (according to model A in Brule et al. [13]).
Moreover, the needs-based approach is more useable when projecting numbers in a specific care specialty, because incidence of the diseases managed within that care specialty can be approximated with more accuracy.
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CEO of Professional Science Editing for Scientists @ prosciediting.com