The phrase "an updated formulation" is correct and usable in written English.
You can use it when referring to a revised or improved version of a theory, model, or statement.
Example: "The researchers presented an updated formulation of the hypothesis that takes into account recent findings."
Alternatives: "a revised version" or "an improved model."
After analysing previous attempts at solving this problem, an updated formulation for the convergence criteria of the proposed BESO algorithm is presented.
Based on the obtained results, an updated formulation for the design displacement spectrum is proposed and compared with that suggested by the Eurocode 8. Finally, a criterion for the selection of recorded ground motions for time-history analyses is presented.
In addition, there is an updated formulation and rigorous handling of parameters - e.g. event symmetry, SPThresh (see Section 4.2.2) - which allows the user to employ the framework in an unsupervised way.
In finalizing the SHINE Trial IYCF intervention, we chose to use an updated formulation of the lipid-based nutrient supplement developed by the International Lipid-Based NutriLiNSSuProjectthe(iLiNS) Project (the iLiNS Formulation) to more closely meet the requirements of children in the 3 African countries where that project was conducted [ 19] (Table 1 in Supplementary Appendix).
The proposed approach can be considered an enhanced and updated formulation of a previous approach presented by the authors aimed to the reduction of the conservativeness.
The updated formulation in Version 3 of the model is shown to better approximate liquefaction behaviors for sloping ground and irregular cyclic loading conditions.
The nonlinear equations of motion are formulated via an updated Lagrangian formulation taking the prestressed catenary equilibrium under gravity as the start configuration.
The geometrically non-linear analysis is based on an updated Lagrangian formulation associated with the Newton Raphson iterative technique, which incorporates an automatic arc-length procedure.
In this paper, the quasi-static analysis of elastoplastic fiber pullout process is simulated by the finite element method based on an updated Lagrangian formulation.
This numerical scheme is essentially based on an updated Lagrangian formulation, which is favorably validated in cases of both centrifuge tests and field measurements.
The geometric non-linearity in the structure is handled using an updated Lagrangian formulation, which takes the effects of the large translations and rotations that occur at the joints into consideration by accumulating their nodal coordinates.
