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Historians have called attention to discrete errors and omissions in the narrative involving the Japanese attack itself.
A posteriori error estimates are computable quantities in terms of the discrete solution and measure the actual discrete errors without the knowledge of exact solutions.
A posteriori error estimates are computable quantities in terms of the discrete solution that measure the actual discrete errors without the knowledge of exact solutions.
We show that the energy functions, which were calibrated to tolerate the discrete errors of rigid rotamers, are appropriate for protein loop selection, especially for decoys without extensive structural refinement.
This observation supported the notion that there were discrete errors in the previously-published ES114 sequence, that we were able to isolate and correct the problem sequence, and that the problems described were isolated within clear margins of discrepancy.
The original OSCAR-d parameters were sensitive to discrete errors of rigid rotamers and the mean RMSD of the lowest energy rotamers was as large as 0.785 Å for a training set of 40 000 side chains per residue type (the rotamer interior energy was calculated the same as OSCAR-d).
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The discrete error of finite element discretization of optical surface is concerned for the first time and the elimination of discrete error is discussed as well.
Various grid distributions are summarized and their discrete error is briefly discussed.
In this paper we show that this estimated convergence rate can be derived with greater rigor for both dissipative and dispersive forms of the discrete error.
The geometrical convergence of both the continuous and discrete error estimate for linear elliptic PDEs corresponding to the Schwarz algorithms will be established and the results of some numerical experiments will be presented to support the theory.
An exact solution of the Euler equations (Ringleb's flow) is used not only to infer the order of the truncation error of the Cartesian-mesh approaches, but also to compare the magnitude of the discrete error directly to that obtained with a structured mesh approach.
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