Sentence examples for many numerical and from inspiring English sources

Many numerical and experimental examples that demonstrate the effectiveness of the proposed approach are presented.

The proposed algorithm was verified by means of many numerical and experimental tests on tie-rods having different boundary conditions.

Although many numerical and instrumental studies over the last decades have focused on studying the effects of subsurface geometry on seismic ground motion, it has not yet been feasible to incorporate such effects into regular engineering practice, seismic building codes, earthquake hazard assessment and risk mitigation policies.

In order to obtain the solutions for fractional differential equations, many numerical and analytical methods have been proposed so far (e.g. see [12 32]).

In this study, two versions of PASS2 database updates, i.e. 2004 (PASS2.2) and 2008 (PASS2.3) has been compared, based on many numerical and length variation parameters.

Although these chromosomal aberrations are clonal genetic changes, many numerical and structural variations were detected in the oral SCCs, suggesting that this kind of cancer exhibits a high rate of CIN, and that CIN may play an important role in their tumorigenesis.

After many numerical simulations and comparison with conventional controller i.e. fuzzy PID and PID controllers, it is found that fuzzy PIλDµ controller can not only promise best trajectory tracking but also meliorate the plant robustness for model uncertainties and disturbance rejection.

L2975 also revealed a stable karyotype at passage 30 with many numerical changes and complex rearrangements.

The Sobolev equations hold very significant physical background so that they have become a class of important evolution partial differential equations (PDEs) and have been successfully used to many numerical simulations in mathematical and physical problems, such as the exchange in different media (see [1]) and the moisture migration in soil (see [2]).

Among various EAs, differential evolution (DE), which characterized by the different mutation operator and competition strategy from the other EAs, has shown great promise in many numerical benchmark problems and real-world optimization applications.

For example, the Lotka Volterra model forms a simultaneous equation with the differential equation expressing predator and prey relationship and many numerical calculations have been conducted on various ecosystems based on expanded L V models.