"using the asymptotic analysis" is a grammatically correct phrase and can be used in written English.
It is typically used in technical or mathematical contexts to describe the method or approach being used to analyze a problem or phenomenon. Example: Using the asymptotic analysis, we can determine the growth rate of the algorithm in relation to the input size.
Using the asymptotic analysis technique, the authors proved an exponential stability result.
At the end of this section, for the sake of comparison, we recall the main results of [8, 17], where summation characterizations of recessive solutions of (1.1) are investigated using the asymptotic analysis of the solution space of (1.1).
The paper deals with a model of the homogenized fluid saturated porous material which recently was obtained by the authors using the asymptotic analysis of the Biot type medium characterized by the double porosity.
To gauge the correction capabilities of decoding, we use the asymptotic analysis based on DE and EXIT techniques presented in Section 3, as well as the finite length analysis.
Another approach, is to use the asymptotic analysis of the PDF or the MGF of the end-to-end SNR [31 33].
Again, as stated associated with Figure 3, this is because the assumption that (K - k + 1) / N = (K - k) / N, when N, K → ∞, is used in the asymptotic analysis.
Multi-scale analysis using the asymptotic homogenization method is becoming a matter of concem for microstructural design and analysis of advanced hemerogeneous materials.
Multi-scale analysis using the asymptotic homogenization method is becoming a matter of concern for microstructural design and analysis of advanced heterogeneous materials.
This was expected, and is in line with the unequivocal recommendations against using the asymptotic chi-squared test with Yates's CC for the analysis of the independent 2×2 table [ 5, 13, 17].
The homogenization procedure is justified using the asymptotic expansion method.
b Using the asymptotic standard error assuming the null hypothesis.
