With formulation expressions, the details of the key processing units will be described in the following subsections.
Based on the formulation, expressions are derived for the re-entry and exit rate coefficients, the average number of free radicals in a polymer particle, and the total free radical concentration in the aqueous phase.
In contrast, to summarize the results in the main text, it was necessary to disregard different formulations and expressions (e.g., usual care vs. standard care, payer perspective vs. funder perspective).
By dividing the entire structure into a series of distinct components, and then systematically organizing compatibility and boundary conditions with matrix formulations, closed-form expressions for the exact natural frequencies, mode shapes and frequency response functions (FRFs) can be determined.
Detailed NURBS formulations are described through mathematical expressions and applications to demonstrate the versatility and reliability of NURBS in geometry and mesh generation that enable high performance computational simulations.
The Rayleigh quotient of the system is manipulated to obtain expressions suitable for symmetric formulations of the eigenvalue problem.
In other cases, it yields bounding expressions that one can embed in optimization formulations and mathematical models.
To increase safety of paths in the designed network, expressions (13), (14), (15) are added to proposed HMCP formulations.
The resultant expressions are thermodynamically consistent and form a multi-coupled monolithic FE formulation, differently to stagger formulations that require two separated steps to reach the final result.
