Sentence examples for by the error function from inspiring English sources

The chloride diffusion coefficient for RAC was calculated by the error function solution to Fick's second law.

In order to eliminate the oscillatory singularity near the crack front, the Delta function in the fundamental solutions is approximated by the Gaussian distribution function, and accordingly, the unit Heaviside step function is replaced by the Error function.

In order to eliminate the oscillatory singularity of the stresses near the crack front, the Delta function in the fundamental solutions is approximated by the Gaussian distribution function, and accordingly, the Heaviside step function is replaced by the Error function.

Indeed, the ESF is obtained by the convolution of an edge profile with a Gaussian beam function, resulting in an image profile described by the error function, erf.

The back-propagation algorithm (BP) [30] is used to compute the weights and biases of the ANN by minimizing the error function in weight space using gradient descent.

Online tuning of the membership functions and control rules of fuzzy controller is carried out using simulated annealing (SA) to obtain improved performance by minimizing the error function.

Finally, several numerical examples are presented to verify that the proposed algorithm improves structural shape control by reducing the error function.

This is achieved by minimising the error function: where j represents the position along a discretised spatial axis, M the number of discretised points, A is the normalised autocorrelation function, f j is the jth column of the kymograph matrix f and A T is a target autocorrelation chosen to enforce temporal periodicity of the pattern.

This algorithm narrows down the search interval by sequentially evaluating the error function at two positions within the interval and reusing one of these evaluations in the next step.

An alternative view point of the design problem is the direct approximation of (2) by (7), that is, the error function is given by (11).

(2.27) By (2.14) and (2.27) the error function satisfies the system of equations varepsilon_{h}=Revarepsilon_{h}+(Re u-u quad text{on }R^{h},qqu-u quadpsilon_{h}=0quad text{on }R^{h}a^{h}.