Sentence examples for local derivatives of from inspiring English sources

The first, second and third local derivatives of single solute isotherms are estimated from the low-frequency asymptotic behaviour of the corresponding FR functions.

Single component adsorption isotherms can be estimated from local derivatives of the adsorption isotherm at specified steady-state concentrations, which are obtained from the low frequency asymptotic behavior of the higher order frequency response functions (FRFs) of a chromatographic column.

When the source passes through a point u 0 on a fold arc abutting the cusp, the image centroid has a jump discontinuity; we present a formula for the size of the jump in terms of the local derivatives of the lens potential and show that the magnitude of the jump scales as |u10|1/2 for |u10| ≪ 1, where |u10| is the horizontal distance between u0 and the cusp.

The critical buckling point (Mbh, αbh) is determined looking at the evolution of the tetrapod deformation energy U, in particular it corresponds to the drop in the local derivative of the U α curve42.

Investigating the form of equations (2) and (6), one can see that the accuracy of the Evans method is strongly related to how accurately equation (6) approximates the local derivative of J t).

Second, the limited bandwidth causes the A k values to be a poor representation of the local derivative of the creep compliance, resulting in a strong deviation (usually an unphysical cut-off) of the calculated shear modulus.

It worth noting that there exist only two main definitions of the fractional derivative; the first was proposed by Riemann and Liouville and is the derivative of the convolution of a given function and a power law kernel, the second one was suggested by Caputo and it is the convolution of the local derivative of a given function with power law function [39].

Furthermore, we do not need a whole wave to define the local frequency, for the Hilbert transform gives the best fit local sine or cosine form to the local data (Eq. 5)) and the frequency resolution at any point is uniformly defined by the local derivative of the phase (Eq. (8)).

The prior depended on previous history, more precisely on the local derivative of the fundamental obtained from the prior three measurements (the prior was uniform for fundamental below 1 kHz for the initial measurements).

From a biological point of view, the importance of local derivatives up to order two for the human visual system has been acknowledged a long time ago [36].

Here, (tilde{text{d}} ldots /text{d} s) is the symbol of local derivative in the oxyz system.