The phrase "allows to formulate" is not correct in standard written English.
It should be rephrased to include a subject or an object, such as "allows us to formulate" or "allows for the formulation of."
Example: "This new software allows us to formulate more accurate predictions based on the data."
Alternatives: "enables the formulation of" or "permits us to formulate."
This allows to formulate the projections between the Lagrangian particle space and the Eulerian finite element space in terms of local (i.e. cellwise) ℓ2-projections efficiently.
It allows to formulate an optimization criterion for the acoustic characteristics of burners or flames without regard of the boundary conditions offered by combustor or plenum.
An analytical model based on the performed PFM simulations allows to formulate the critical current density as a function of separator morphology and pore radius.
This allows to formulate criteria for stopping the iterative algebraic solver and the iterative linearization solver when the corresponding error components do not affect significantly the overall error.
Furthermore, it provides intuition for the decoding process, and allows to formulate the code design problem in many cases as a convex optimization problem.
This allows to formulate some hints for designers to make the smoke removal systems robust on the wind influence and other unpredictable factors.
The numerical validation was based on a newly introduced load independent metric, which allowed to formulate general conclusions.
The combination of numerical tools and historical research allowed to formulate, test and validate a hypothesis regarding the architecture and the operation of these ancient buildings.
Features of engineering industry, such as comparatively long cycle of design and manufacturing, high competition, allow to formulate optimization problems within a guaranteed approach.
The large flow of waste modelled allowed to formulate and assess realistic alternative WM scenarios and to design infrastructural systems which are likely to correspond to those submitted for approval to the local authorities.
A thorough investigation of the influence of rf-power, DC-bias on the substrate, deposition time on the properties of the calcium phosphate coating allowed to formulate a mechanism for the film growth.
