Sentence examples for using the analytical and from inspiring English sources

The fundamental frequencies obtained using the analytical and approximate methods are compared to demonstrate the accuracy of the approximate method.

A good agreement was found between the results produced by the proposed model and those obtained by using the analytical and Crank-Nicolson approaches.

The neutral axis depth was calculated using the analytical and the simplified procedures for three beams with different ratios of prestressing steel and concrete strength.

Meanwhile, the vibrational characteristics of the cup-shaped ultrasonic transducer have been investigated by using the analytical and numerical methods, and then confirmed by the experiment.

Using the analytical and FE simulation methods, three critical technological problems in the cold rotary forging process of this kind of parts are resolved reasonably.

The various performance parameters and the required installed power of a craft can be predicted using the analytical and model test methods.

The predicted deflections using the analytical method and FEA method both agree well with the test results.

Major physico-chemical parameters were analyzed in quality assured laboratories in Oman using the analytical methods and instrumental techniques shown in Table 1.

We validate the solver using the analytical model, and then use it to understand the effect of a dielectric biomolecule on the biosensor admittance.

Comparisons were made between dielectric constant-frequency relationships extracted from data on electrolyte solutions using the analytical model and the well-known RC-circuit analog.

Samples were quantified by direct flow injection analysis using the analytical setup and the data analysis algorithms described by Liebisch et al. [42].