Sentence examples for methods of arbitrarily from inspiring English sources

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More specifically, under suitable conditions on γ 1, γ 2, γ 3, the method Φ γ 3 τ ∘ Φ γ 2 τ ∘ Φ γ 1 τ is of order p + 2. Therefore, we are able to construct methods of arbitrarily high even order.

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The feasibility and the effectiveness of the proposed method are demonstrated by experiment and give better results than the classical method of arbitrarily choosing a resonance to demodulate.

Indeed, the plain person is apt to be rather confused about the differences between the methods of ethics, arbitrarily deploying one or another without recognizing any inconsistency.

This paper presents two methods of realising arbitrarily complex directed graphs as robust heteroclinic networks for flows generated by ODEs we say the ODEs realise the graphs as heteroclinic networks between equilibria that represent the vertices.

The proposed MIB method is of arbitrarily high order, in principle.

This paper describes a simple method of simulating arbitrarily spherical curved and planar VHG.

The new method allows unbiased comparison of arbitrarily chosen power cycles, working fluids and component characteristics.

As in Paper I, we treat only cracks parallel to the grid lines; the extension of the present method to the case of arbitrarily oriented cracks is discussed in Section 5. We adopt a 2-D velocity-stress finite difference scheme for P-SV waves with the accuracy of second order in space as well as in time (Virieux, 1986).

In contrast to traditional methods of phylogeny estimation that arbitrarily fix the alignment, we treat the alignment A as a random variable, leading to the probability expression P Y, A, τ, T, Θ, Λ) = P(Y| A, τ, T, Θ) × P(A| τ, T, Λ) × P τ, T) × P × P.     (1) The substitution likelihood P(Y| A, τ, T, Θ) and the priors P τ, T) and P occur in traditional Bayesian models that fix the alignment.

In this study, we propose a non-parametric free-form optimization method based on the variational method to design frame structures composed of arbitrarily curved linear elastic members.

In this paper a finite element method suitable for the transient simulation of arbitrarily shaped three-dimensional magnetoelastic polymers subjected to time-varying magnetic fields is developed.

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