Sentence examples for valid for the wide from inspiring English sources

The practical framework provided in this study is valid for the wide range of practical conditions as derived from 331 low-temperature (<25 °C) ATES systems in practice.

The flexibility of the pMC model allows the accurate modeling of complex boundary conditions and remains valid for the wide range of optical properties encountered in small animal models.

While the details of our results are specific to this problem, the general conclusions are valid for the wider class of problems to which the TFE method can be applied.

Plot sampling is usually a design-based approach: sampled plots are assumed to be a random sample of a larger number of plots, and hence the density estimated over these is valid for the wider survey area.

In addition to the development of a discrete-ordinates solution that is valid for a wide range of the Knudsen number, the solution is evaluated numerically for selected cases to yield results, thought to be correct to many significant figures, for the slip velocities, the macroscopic velocity profiles, and the flow rates.

The formula is valid for a wide range of parameter values and yields the exact theoretical result under several limiting conditions.

The comparison between simulations on the fully resolved fields and on the kriged fields indicates that the approach is valid for wide plumes meeting the ergodicity condition.

The HPTM solution is valid for a wide range of time and this suggests that the HPTM method can solve non-homogeneous equations with a high degree of accuracy by considering only few terms in the perturbed solution.

The analysis is valid for a wide range of sampling designs used.

Hence, | λ 0 k - λ ε k | ≤ λ ε k λ 0 k C η μ + η μ ε - p + ε η μ → 0. as ε → 0. Remark 6 The result established in Theorem 4 is valid for a wide class of domains with perforation along the boundary.

Some methods specifically developed for bimodal processes (e.g., single-moment, Jiao Moan, Sakai Okamura and Fu Cebon method) are compared with the Tovo Benasciutti method, a new approach valid for the broader class of wide-band processes.