Sentence examples for by numerical differentiation of from inspiring English sources

The cohesive law in mode I (σI wI) is then obtained by numerical differentiation of the GI wI relationship.

The rotations and curvatures are obtained by numerical differentiation of mode shapes translations using a differentiation/smoothing technique.

The rate of H+ concentration change with time was determined by numerical differentiation of H+ concentration versus time.

Function τ q) is estimated as the slopes of plots log(X q versus log. Coarse Hölder exponent α q) is now calculated by numerical differentiation of τ q) over q values.

Polished rod acceleration, a(t), is found similarly by numerical differentiation of this function and the time history of the resultant acceleration provides the required d2 s/dt 2 values to be used in Eq. 14.

However, because the second-order derivatives of the potential in the Fourier domain and Fourier inverse transformation emphasise short wavelength signals including noise, we obtained components of the gravity gradient tensor by numerical differentiation of g x, g y, and g z in the space domain.

The strain rate of RAC is calculated by numerical differentiation to the strain response history.

The power spectral densities of the random bending strains at all points on the structure are estimated by the numerical differentiation of cross-spectral densities of the vibration measured by two transducers, a fixed reference transducer and a roving (or scanning) transducer.

In this study, I obtained g zx (=g xz ) and g xx components by the numerical differentiation of g z and g x, and the g zz component was given by g zz  = −g xx.

The first variable is the position error (determined from the setpoint and the actual position value); the second one is the movement speed, including its direction (determined by the numerical differentiation of the position value).

Then, by numerical differentiation, we could obtain an approximation of.