The phrase "approximations and in the" is not correct and does not form a complete thought in written English.
It may be used in a context where you are discussing approximations, but it requires additional information to be meaningful.
Example: "The calculations provided approximations and in the end, they were quite accurate."
Alternatives: "estimates and in the" or "approaches and in the".
There are fewer coefficients in the improved MLS (IMLS) approximation than in the MLS approximation, and in the IEFG method fewer nodes are selected in the entire domain than in the conventional EFG method.
The solution is obtained both in the slender-body approximation and in the complete formulation (without assuming a small angle between the axis of the body and the tangent to its contour).
In a first approximation, and in the absence of additional evidence, it would be advisable to maintain constant selection coefficients.
Where no access to the missing data was provided, the following methodology was applied: in cases where the mean was not reported, the median was used; in the absence of SDs, interquartile ranges (IQRs) were used to estimate SDs using a normal approximation, and, in the remaining cases, the maximum of clinical trial SDs was used.
We considered magnetoexcitons in the ladder approximation and magnetoplasmons in the random phase approximations without taking into account vertex corrections and screening.
We start the mapping of bnodes with the maximum approximation and, in each iteration, we reduce the lower limit for the desired approximation.
Yet, given the large number of assumptions and approximations in the theoretical basis of NIRS, one may consider trends in different NIRS parameters as more robust than discrete values.
In Section 4, we study magnetoplasmons in graphene in the random phase approximation and in Section 5 we formulate the conclusions.
They also constructed fully discrete approximations and proved the optimal convergence in the temporal direction.
