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In one hand, a review of the analytical models reveals that these models are generally only applicable to specific geometries and driving forces.
The analytical model reveals that there could be a great complexity in the relationship between the tool amplitude and the equilibrium gap size, which could lead to tool damage, if the problem has not been carefully considered.
The complete analytical model reveals a good agreement with 2D simulations, which allows the prediction and minimization of both direct and indirect noise at the design-stage without computation.
Analytical modeling reveals that the lever's compliance significantly increases the estimation error.
This dependency is captured by the analytical models and revealed by the simulations to be presented later.
Numerical finite element simulations of the single beam model were also performed to validate the simplified analytical model and reveal the important parameters that can influence the ductility demand within the connections.
These fatigue-dependent fiber and fiber/matrix interface properties were incorporated into a novel multi-scale mechanics-based analytical model to reveal the influences of fatigue dependency on the fiber-bridging and fatigue crack propagation in ECC.
Further, the analytical modelling also reveals that the model is useful in describing the strain distribution history in the primary yarns in each layer of fabric in the panel.
The results of the analytical model and simulation reveal the benefits of the proposed routing metric for cognitive radio ad hoc networks.
Wiseman, the most analytical of filmmakers, is fascinated by the thought processes behind the making of images: in scenes of advertising photographers at work, his extreme closeups of models reveal the finely calibrated control over gesture and expression, which yields moments of ineffable mystery.
Simple analytical models are presented to reveal the characteristics of noise radiation from pulsed jet actuators, which relates the near-field pressure and far-field noise to various parameters such as the mean flow Mach number, the frequency of the pulsed jets and the phase variation algorithm.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com