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The final term needed for the correlation model is (hat {sigma }_{d_{i}}^{2}), which corresponds to the underlying desired signal variance associated with the reference patch.

The outlet flux can be written as a sum of three independent terms: one corresponding to the one-dimensional solution, a term accounting for axially symmetric radial nonuniformity, and a term needed for a fully three-dimensional model.

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On Friday, Greece's finance minister, Evangelos Venizelos, blamed "organized rumors" for renewed speculation that Greece would default, and said the country intended to comply with all terms needed for the bailout that European countries agreed to in July.

The terms containing (terms needed for aliasing cancellation) present in the traditional cosine modulated filter bank omitted because of the complex-valued representation [14].

Formulas for the number of terms needed for convergence have also been derived for both the spectral and the spatial series that appear in the Ewald method and are found to be accurate in almost all cases.

This allows for a significant reduction of the number of terms needed for the representation of the microstructure compared to the terms needed using the full 2nd order homogenization method.

Calculations in the present study that demonstrated the optimum number of terms needed for convergence in the Galerkin method is 6, which is confirmed in the study of Altman and De Oliviera (1988).

A similar term request procedure was followed for quality terms needed for PATO.

We found that several ontologies to describe experimental methods were useful but incomplete and focused on higher eukaryotes and thus did not yet contain terms needed for microbial pathogens.

This section presents some notations and clarifies terms needed for the statements and analysis of methods utilized in this study.

The VCS Core's section of the handbook specifically addresses validation topics, starting with an abbreviated glossary of terms needed for mid-level validations, and a general procedural outline for designing mid-level and high-level validation efforts.

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