The phrase "a simplified case of" is correct and usable in written English.
You can use it when referring to a situation or example that has been made easier to understand or analyze.
Example: "This is a simplified case of a complex mathematical problem that illustrates the basic principles involved."
Alternatives: "an easier version of" or "a basic example of".
In a simplified case of using of the effective field hypothesis for analyzing composites with one sort of heterogeneities, one proves that the effective moduli explicitly depend on both the strain and stress concentrator factor for one heterogeneity inside the infinite matrix and does not directly depend on the elastic properties (local or nonlocal) of heterogeneities.
Let us start with a simplified case of the mean inequality in equation (4.6).
As a result, it represents only a simplified case of watermarking and may not help realize the overall scenarios completely for the security or other watermarking requirements.
The C-V model [7], as a simplified case of the Mumford-Shah model, in a piecewise constant way, has achieved a good performance in two-phase image segmentation with a fast convergence rate.
Note that we have proposed InteGO in the previous work to unify different measures [ 23], which can be considered as a simplified case of InteGO2.
The form of the bounded accumulation model considered here is a simplified case of the race model, in which evidence for each choice is integrated separately by two decision variables (Usher and McClelland, 2001).
A simplified case study of a photocopier is also provided.
The resulting generalised model is validated through computer simulations by considering a simplified case study of a two-link flexible manipulator with joint elasticity.
In this study, with the goal of simulating the configuration of an entire deep sea production system compared to existing studies, a DES-based simulation technology, which can logically simulate oil production processes in the deep sea, was analyzed, and an implementation example of a simplified case was introduced.
This is confirmed by a von Neumann stability analysis of a simplified case and is also shown to be reasonable in view of the continuous problem which contains stable and unstable modes.
The neutronics modelling is assessed against Monte Carlo simulations and the results of a simplified case study are compared to those from multiphysics tools previously developed.
