Sentence examples for involved analytical from inspiring English sources

Due to the complexity of SPD processing and the specificity of material behaviour at the extremely large strains involved, analytical and computational studies have been indispensable for process design, parameter optimisation, and the prediction of the microstructures and properties of the ultrafine grained materials produced.

The studies also involved analytical methods for the detection of HPV and/or HIV with different sensitivity and specificity.

My initial instinct was that the mandate to use ragged-right typography for the text of all articles that aren't straightforward news would be a sweeping and effective alert for readers, especially in the gray area involving analytical and interpretive forms of journalism.

Time-domain solutions are obtained by time-step numerical integration methods involving analytical expressions of impulse response functions.

The efficiency and the accuracy of the proposed approach are first illustrated with the case of a circular tunnel involving analytical solutions with respect to three performance functions.

In spite of the conceptual simplicity of this idea, the resulting mathematical analysis may be very complex, since it involves analytical representation of multiple wireless channels.

This paper presents results of a comprehensive study involving analytical, numerical and experimental investigations into transverse fracture propagation from horizontal wells.

The model has been developed alongside a relatively comprehensive experimental programme involving analytical methods, standard and non-standard furnace tests and mass-loss calorimeter (MLC) tests.

Hence, we begin the following section by presenting our key assumptions and delineate the model generation process, which involves analytical and simulative derivations and general linear least squares curve fitting techniques.

Methods used in the existing literature deals with non Markov systems involving analytical techniques such as regenerative point technique and the supplementary variables techniques which contains many differential equations.

Moreover, low-rank tensor approximations are confronted to the popular polynomial chaos expansion meta-models in case studies that involve analytical rank-one functions and finite-element models pertinent to structural mechanics and heat conduction.