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This selection allows for a performance metric approximation given by (16). 2.
Furthermore, the constant k has its numerical approximation given by 3.2817755127.
Further, the ratio is equal to the ratio of corresponding mean residence times, which validates our approximation given by (36).
Fig. 5 Relative error Δ versus a dimensionless variable u for the integral approximation given by Eq. (A3).
Let (u^{varepsilon } in mathcal {M}_{varepsilon }(Lambda)) be the approximation given by this property, with corresponding {v n :n≥0}.
Since there is usually no closed-form expression for (psi_{theta} x, t)) available, we use its approximation given by Theorem 1 to solve the optimal strategies.
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Footstep length approximations given by different models are shown in Figure 8.
We display the exact SEP curves given by (12), (19), and (23) and the approximations given by (17), (20), and (26).
The derived parameters were then used to re-construct relaxation modulus plots, which were compared with the approximations given by Clements and Mas for the viscoelastic Mori–Tanaka theory in the time-domain.
Since the weighted vertex cover problem is NP-complete we apply the 2-approximation given by Clarkson [ 24].
Here x(T) is the analytical solution at time T and E S (f (x n τ ) ) are the moments of its approximations given by S simulations of a fixed-step method with stepsize τ run for n steps.
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