Sentence examples for by applying the first from inspiring English sources

Convergence is guaranteed by applying the first law of thermodynamics.

The discontinuity spacing density function is theoretically found by applying the first principles of the Maximum Entropy Theory.

A pulsatile time-dependent blood flow model is considered by applying the first harmonic of the physiological waveforms of velocity and pressure during the heart beating period.

Since the by now classical thermomechanical coupling originally proposed by Taylor and Quinney cannot be used directly in case of kinematic hardening, the change in heat as a result of plastic deformation is computed by applying the first law of thermodynamics.

Some exact solutions for these equations were formally obtained by applying the first integral method.

The thermodynamic state is calculated by applying the first law of thermodynamics.

In this study, analytical work is carried out on this identified non-linear model by applying the first-harmonic approximation solution and the Floquet theory.

A shock capturing method is developed by applying the first-order Godunov scheme to the conservation form equations of this formulation.

Then, in the second-step homogenization, an aggregate of randomly oriented grains is modeled by applying the first-step homogenized material properties of multidomains to every grain.

Thirteen days ago, the Supreme Court undermined Chicago's ban on handguns by applying the Second Amendment to the states, ruling that people have a right to protect their homes with a gun.

Equations (16) and (18) are obtained by applying the first-order Taylor's series approximation as given by [7, 8].