Sentence examples for derivatives of a given from inspiring English sources

Most numerical methods for the approximation of integrals and derivatives of a given function f(x) are based on interpolation.

Forward, backward and divided differences dealt with in are in fact related to approximations of derivatives of a given function.

Since curvature is defined by a function of higher-order derivatives of a given curve, the numerically estimated curvature feature is susceptible to noise and quantization error.

Graslund et al. found that by screening ten derivatives of a given protein domain instead of one, the probability of generating a soluble protein increased two-fold and the probability of generating a structure increased four-fold [9].

Next, DCT-III and DCT-IV are utilized to determine the filter coefficients of FIR filter that compute the Fractional derivative of a given signal.

These three major definitions are constructed as the convolution of derivative of a given differentiable function and power law, exponential decay law or Mittag-Leffler law [1 5].

In this section, we establish some important left-type Hadamard fractional integral identities including the first-order derivative of a given function.

In this representation, borrowed from the chaos theory, the time derivative of a given variable, (v t) equiv dot{x}(t),) is plotted against that same variable, x t).

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].

It is therefore necessary to assess the biological activity and other relevant properties of any derivative of a given peptide prior to expression in plant systems.

Definition 2 (Discrete Derivative) For a given serious of data slices slice i with i = 1, 2,···, k where k is a natural number, discrete derivative is.