Sentence examples for use of complex analysis from inspiring English sources

Evaluations able to estimate sustainability indices of production systems have intensified the use of complex analysis.

Although the theory will be given adequate treatment, the emphasis of this course is the use of complex analysis as a tool for solving problems.

In the domain of continuous systems, the use of complex analysis has made possible the development of specific and efficient tools for integrability prediction, and actual integration of systems expressed as (ordinary or partial) differential equations.

The inverse of Laplace transform is usually difficult to compute by using the techniques of complex analysis, and there exist numerous numerical methods for its evaluation [23, 24].

Via using the method of complex analysis, we can take a continuous branch of (operatorname{log} (frac{S^{S^w_{k} )) such that ({textrm{log} (frac{S^{S^w_{k} ) }_{kin mathbb {Z}} in l^{2}).

Second, the questions asked in the HUAS were not specifically designed to be used for complex analysis of diarrhea or choice of traditional healer as an outcome.

This is in direct contrast to multicolor FCM, in which careful consideration of fluorophores must be taken into account in order to avoid spectral emission overlap, and in which the use of highly complex analysis is necessary when overlap does occur.

The use of complex statistical analysis allowed a set of clinical features to be identified that had maximum association with canine AD.

This will include the use of complex statistical methods including propensity score analysis, instrumental variable analysis and modelling a hypothetical unmeasured confounder.

The use of a more complex analysis method, such as a mixed model with random effects of parents, might improve the power to detect QTLs, and would not require modification of the GRAIP procedure itself.

It is pertinent to test and develop the most rigorous analytic techniques to test the latter association as they involve the use of complex longitudinal data, and appropriate statistical analysis of data obtained from longitudinal investigations remains an important but challenging problem.