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Despite these diffractions generated on the basin sides, the 1D interpretation of surface waves remains locally valid and is governed by the local 1D velocity profiles (Bard and Bouchon 1980a, b).
Furthermore, all necessary one-dimensional Riemann problems are solved in a locally valid orthonormal basis.
In the figures we denote by (I+mathit{RI}) the points where (I) and also (RI) are locally valid.
Specifically, APOD is used to initiate and recursively revise locally valid reduced order models (ROMs) that approximate the dominant dynamic behavior of such physico-chemical systems.
The second novelty is that we utilize the Huygens Kirchhoff integral to integrate many locally valid wavefields to construct globally valid wavefields.
Scientific systems and detailed soil mapping are replacing folk taxonomies, especially in the more developed countries, because folk systems, if they still exist, are only locally valid and have relatively limited uses compared to scientific systems.
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We present a new model reduction method that emphasizes solution error control and is designed for Adaptive Chemistry (i.e. dynamic spatial distribution of smaller, locally-valid reduced models over the course of a simulation, rather than a single, larger reduced model).
Comprehensive data on microbiological isolates and associated sensitivities will enable the formulation of locally-valid guidelines for empirical antimicrobial therapy.
The law establishing the Puerto Rican commonwealth said federal laws that were "not locally inapplicable" were valid on the island.
Second, it forces the model to recognize that the physics governing flame front propagation are only valid locally at the front.
It is worth recalling that traditional sensitivity analysis methods are only valid locally with respect to a particular point in the model's parameter space, i.e., in the neighborhood of a certain parameter set.
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