Sentence examples for bounding problems from inspiring English sources

Building on strategies from traditional environmental risk analysis for identifying research objectives, bounding problems, articulating uncertainties, and defining endpoints for analysis, we model complex and dynamic interactions of nanomaterials with the environment, and address life cycle considerations while reflecting the uncertainties in the current state of the science.

Bounding problems are constructed replacing these nonconvex terms by piecewise linear underestimators.

This method integrates in NGBD several bound contraction strategies, which render tighter convex relaxations for constructing tighter lower bounding problems and accelerating the solution of nonconvex subproblems.

Such a technique allows rewriting polynomial bounding problems in the form of convex optimisation problems, at the cost of a certain amount of conservatism.

These relaxations have several properties which make them useful for lower bounding problems in global optimization: they can be evaluated automatically, accurately, and computationally inexpensively, and they converge rapidly to the relaxed function as the underlying domain is reduced in size.

Furthermore, the proposed technique preserves the advantages of the laser direct-write technique in terms of design flexibility, simplicity, fast prototyping, low cost and so on; while the alternative laser assisted thermal treatment lets us overcome the bounding problems presented in other conventional thermal treatments.

[1405, 1397] The krb5_principal buffer bounds problems [MITKRB5-SA-2003-005] have been fixed.

The double Fourier series is adopted to construct the pointwise spatial spectrum, which is well suited for wall bounded problems where a domain layer with fine scale resolution is required.

(8) and (12), it is possible to calibrate the mapping function in order to satisfy (ii) (namely, the gradient of the solution of the bounded problems does not have to develop singularities at the boundary of ([0,1]times[-1,1] [0,1]times[-1,1]

Assuming the availability of a Green's function, G r, r′, λ) for the operator ∇ 2 + k 0 2 as is the case for an unbounded medium as well as range of bounded problems [ 25], we rewrite Eq. (3) as (4) Φ s (r,   λ ) = ∫ G (r,   r ′,   λ ) Φ (r ′,   λ ) Δ k 2 (r ′,   λ ) d r ′.

But the good news is that is a bounded problem.