"derived demonstrating" is not correct or usable in written English.
You could say "demonstrating derivation," but that has a slightly different meaning than "derived demonstrating." For example, "The professor used evidence derived from centuries of scientific research to demonstrate the derivation of the theory."
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.
Based on a regression analysis, empirical formulae to predict strength reduction due to corrosion have been derived demonstrating a good accuracy.
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.
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.
Thus, Fig. 3 plots E2 against Σg from both the GC equation and the GD approach derived here, demonstrating an identical predicted relationship between Σg and E2 by each approach.
A closed form formula on the error of approximation is derived to demonstrate the accuracy of the proposed discretization model of fractional derivatives.
Performance measures of interest are also derived and demonstrated by numerical results.
Some examples are also derived which demonstrate the validity of our results.
The derived equation demonstrates that the transmit power depends on the distance between the transmitter and the receiver.
Simulation results are derived to demonstrate the performance of the Jeffreys Perks procedure compared with the profile likelihood method.
