Sentence examples for modified kernel function from inspiring English sources

Then we define the modified kernel function by (1.13).

First we consider the modified kernel function in case, which is defined by (1.11).

Next we use the following modified kernel function defined by (1.9).

Motivated by this modified kernel function, it is natural to ask if the function can also be modified?

To obtain the Neumann solution for the boundary data f, as in [3 6], we use the following modified kernel function defined by L n, m ( x, y ′ ) = { − β n ∑ k = 0 m − 1 | x | k | y | n + k − 2 C k n − 2 2 ( x ⋅ y ′ | x | | y ′ | ), | y ′ | ≥ 1 m ≥ 1, 0, | y ′ | < 1 m ≥ 1, 0, m = 0. for a non-negative integer m.

This kernel corresponds to a finite domain (and will be called modified kernel from now on), that satisfies all the properties of a probability density function as well as successfully handles the physical inconsistencies of classic types of kernel.

We also designed a new kernel function to modify the joint-bilateral filter and to eliminate the gradient reversal artifacts caused by the non-linear filtering.

The present paper introduces a sharp Trudinger type inequality for harmonic functions based on the Cauchy-Riesz kernel function, which includes modified Poisson type kernel in a half plane considered by Xu et al. (Bound. Value Probl. 2013:2013 2013).

To create the appropriate generalized moving least squares approximation in the vicinity of an interface, we choose the visibility criterion technique that modifies the support of the weight (or kernel) function.

Medico and Kong [6] extended the work in [5] by modifying the class of kernel functions and deriving new criteria of Sun type (see [7]).

The pattern recognition system was designed as an ensemble classification scheme employing a support vector machine classifier, specially modified in order to integrate the least squares features transformation logic in its kernel function.