Sentence examples for by using analytical methods from inspiring English sources

The degradation extent was studied by using analytical methods, such as a solution color comparison method, ultraviolet spectrophotometry, and HPLC.

A comparison is made between the results obtained by using analytical methods and the proposed numerical procedure to demonstrate the validity of the method presented.

To this our approach adds a building loss estimation component obtained by using analytical methods.

To this end, we should discretize the space and the time of the problem because the dynamical behavior of system (1.3a - 1.3d 1.3a - 1.3dinvestigated by using analyticannotthods or normal forms.

To this end, we discretize the space and the time of the problem because the dynamical behavior of system (1.3a - 1.3d 1.3a - 1.3dinvestigated by using analyticannotthods or normal forms.

We foresee reducing the computational cost by using analytical methods to dismiss combinations that cannot produce high miss count variations (e.g. addresses hardly interleave) and creating buckets of addresses whose behaviour is almost identical, so that combinations including one of them need to be explored once rather than exploring each one of them.

The individual geometries of the imaging chains are estimated from the phantom projection images using analytical methods followed by a refinement procedure based on nonlinear optimization.

By constructing auxiliary functions, using analytical method and combining with the technique of considering asymptotic behaviors of nonoscillatory and oscillatory solutions, we have provided two criteria for tending to zero of every (non)oscillatory solution of the system as (tto+infty).

The divergence in activity could be reasoned by different enzyme preparations and used analytical methods.

These findings suggest that HBCP models can detect treatment effects more sensitively than currently used analytical methods required by the Food and Drug Administration, and they do so using small patient samples.

We will demonstrate these improvements by using analytical and simulation methods for some well-known topologies.