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The phrase "a series of refinement" is not correct in standard English; it should be "a series of refinements." You can use it when discussing multiple improvements or enhancements made to a process, product, or idea.
Example: "The project underwent a series of refinements to enhance its overall performance and usability."
Alternatives: "a sequence of improvements" or "a set of enhancements."
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A non-negatively constrained least-squares fitting algorithm is used to determine the partial concentration of all species described by the grid points, and to filter out nonexisting species in a series of refinement steps that are performed by the two-dimensional spectrum analysis (2DSA, see section SI-1, Supporting Information).
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The original design of the silicone breast implant underwent a series of refinements in the 1960s and '70s.
In intensive exchanges with Woolworth, Gilbert found a new way of relating street scale and skyscape and a series of refinements to his ornamental vocabulary.
The model is developed by a series of refinements following the stepwise development approach.
The method also provides a refinement mechanism in which machines may pass through a series of refinements until they reach an algorithmic implementation, called B0, which can be automatically converted into code.
The behavioral models, expressed as statecharts, are obtained through a series of refinements expressed within an extended design goal model that constitutes an intermediary model between requirements and architecture.
Statements were then coded and assigned to emerging categories in a series of refinements of the categorisation.
A series of refinements, including the adjustment of solvent percentages in finer increments, order of addition, method of addition, temperature, [ pMBA], [BH4 ], degassed solvents vs nondegassed solvents, equilibration time of the polymer, and the addition of solid NaBH4 vs aqueous NaBH4 were carried out for the synthesis of Au102 pMBA)44.
In addition to these new developments, we automated a series of REFMAC refinement extensions: utilization of automatic de-twinning of experimental data, optimization of the B-factor restraint weight and refinement of anisotropic B-factors when the ratio of experimental data and model parameters is sufficient.
Code verification is performed by demonstrating through a series of grid refinement tests that the error in the approximation to a Taylor Maccoll solution converges to 10−12.
A series of regulatory refinements, culminating in 2004, in a set of rules known as Basel II, enshrined the raters as semi-official arbiters of creditworthiness.
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