In this letter, the numerical scheme of nonlinear Volterra-Fredholm integro-differential equations is proposed in a reproducing kernel Hilbert space (RKHS). The method is constructed based on the reproducing kernel properties in which the initial condition of the problem is satised. The nonlinear terms are replaced by its Taylor series. In this technique, the nonlinear Volterra-Fredholm integro...

Kernel theory is a demonstrated tool that has made its way into nearly all areas of machine learning. However, serious limitation kernel methods knowing which needed in practice. Multiple learning (MKL) an attempt to learn new tailored through the aggregation set valid known kernels. There are generally three approaches MKL: fixed rules, heuristics, and optimization. Optimization most popular; ...

in this paper, we introduce the notion of an action $y_x$as a generalization of the notion of a module,and the notion of a norm $vt: y_xto f$, where $f$ is a field and $vartriangle(xy)vartriangle(y') =$ $ vartriangle(y)vartriangle(xy')$ as well as the notion of fuzzy norm, where $vt: y_xto [0, 1]subseteq {bf r}$, with $bf r$  the set of all real numbers. a great many standard mappings on algebr...

on the basis of a reproducing kernel space, an iterative algorithm for solving the one-dimensional linear and nonlinear schrödinger equations is presented. the analytical solution is shown in a series form in the reproducing kernel space and the approximate solution is constructed by truncating the series. the convergence of the approximate solution to the analytical solution is also proved. th...

Kernel density estimators are the basic tools for density estimation in non-parametric statistics.  The k-nearest neighbor kernel estimators represent a special form of kernel density estimators, in  which  the  bandwidth  is varied depending on the location of the sample points. In this paper‎, we  initially introduce the k-nearest neighbor kernel density estimator in the random left-truncatio...

The effects of microcapsulated docosahexaenoic acid powder (hereinafter DHA powder) on some viscoelastic properties of wheat flour dough and loaf volume were studied. The addition of DHA powder in the range of 0.1 to 0.3% caused a significant increase in the loaf volume of bread after baking. Dough containing 0.2 or 0.3% DHA powder had greater modulus of elasticity, viscosity coefficient and re...

Type II conventional glass-ionomer cements (GIC) are restorative materials consisting of powder and liquid mixed to produce a plastic mass that subsequently sets to a rigid solid. The early GIC was marketed without the expired date, although this material has been currently marketed with the expired date, how stable the materials are not yet clear. The purpose of this study was to evaluate the ...

This study aimed to determine the optimal ratio of natural calcium powders (oyster shell and egg shell calcium) as synthetic phosphate replacers in pork products. Ground pork samples were subjected to six treatments, as follows: control (-) (no phosphate added), control (+) (0.3% phosphate blend added), treatment 1 (0.5% oyster shell calcium powder added), treatment 2 (0.3% oyster shell calcium...

Traits related to nitrogen fixation may be used as indirect selection criteria foraflatoxin resistance in peanut. The aim of this study was to investigate therelationship between N2 fixation traits and aflatoxin contamination in peanut underdifferent drought conditions. Eleven peanut genotypes were evaluated under threewater regimes for two seasons in the field. Data were observed on kernel inf...