An analytical formula was derived demonstrating that, for a given DC material, an optimal thickness exists that maximizes the intensity of the emitted radiation, while minimizing the impact of self-absorption.
A simple expression for LEFM/EPFM crack growth is derived, demonstrating how appropriate energy values may be obtained from low cycle fatigue (LCF) tests, where damage occurs in the bulk of the specimen.
Based on the proposed Generic Robotic Agent Meta-Model (GRAMM), two distinct models for two different applications are derived, demonstrating the versatility and adaptability of the meta-model.
Experimental evidence for this model has been derived from MEG analysis demonstrating cortical sources of the 40-Hz response [29] and contributions from subcortical areas with a time shift of 2 3 ms consistent with thalamocortical conduction delay [30].
As an example, a general form of the stress force fabric relationship is derived for demonstrating the application of the proposed mathematical theory in the micro-mechanical investigation of the behaviour of granular materials.
Regression analysis was used to determine a standard curve from which an equation was derived which demonstrated this correlation.
Here, an innovative methodology is derived and demonstrated for using the water balance equation in conjunction with a fully-integrated surface and subsurface hydrologic model (HydroGeoSphere) in order to estimate ET at watershed and sub-watershed scales.
The clinical trials from which the data are derived aimed to demonstrate a statistically significant difference between outcomes in treated vs control participants.
A detailed characterization of the TITAN Penning trap is presented and a new compensation method is derived and demonstrated, verifying the performance in the range of sub-ppb.
A closed form formula on the error of approximation is derived to demonstrate the accuracy of the proposed discretization model of fractional derivatives.
