This research aims to review the importance of estimating the nonparametric regression function using so-called Canonical Kernel which depends on re-scale the smoothing parameter, which has a large and important role in Kernel  and give the sound amount of smoothing .

We has been shown the importance of this method through the application of these concepts on real data refer to international exchange rates to the U.S. dollar against the Japanese yen for the period from January 2007 to March 2010. The results demonstrated preference the nonparametric estimator with Gaussian on the other nonparametric and parametric regression estima

In this paper we present the theoretical foundation of forward error analysis of numerical algorithms under;• Approximations in "built-in" functions.• Rounding errors in arithmetic floating-point operations.• Perturbations of data.The error analysis is based on linearization method. The fundamental tools of the forward error analysis are system of linear absolute and relative a prior and a posteriori error equations and associated condition numbers constituting optimal of possible cumulative round – off errors. The condition numbers enable simple general, quantitative bounds definitions of numerical stability. The theoretical results have been applied a Gaussian elimination, and have proved to be very effective means of both a prior

The nuclear structure of some cobalt (Co) isotopes with mass number A=56-60 has been studied depending on the effect of some physical properties such as the electromagnetic properties effects, such as, elastic longitudinal form factors, electric quadrupole moments, and magnetic dipole moments. The fp model space is used to present calculations using GXFP1 interaction by adopting the single particle wave functions of the harmonic oscillator. For all isotopes under consideration, the ⁴⁰Ca nucleus is regarded as an inert core in fp model-space, while valence nucleons are moving through 1f_7/2, 2p_3/2, 1f_5/2, and 2p_1/2 orbits. The effects of core-polarization are obtained by the first orde

The Iranian-Sudanese relations during the era of the transitional government (1985-1986), and the era of the third democratic government, has seen a marked improvement, particularly since the transitional government, which was formed in Sudan following a popular uprising that toppled former President Jaafar Nimeiri followed based on balancing policy in international relations, which is the same policy adopted by the government of Sadiq al-Mahdi that, especially that Mr. Sadiq al-Mahdi had enjoyed close ties with the government in Tehran before he took office, and on the basis of the policy of diplomatic representation between the two countries returned since the time of the transitional government after relations were severed due to the

The neighbourhood unit is a small local community in a city dwelled by certain number of dwellers who are characterized by common features, mostly economic. They daily deal with each other & unified with the feeling of neighbourhood. The daily primary services are available in this small community (like education, shopping & entertainment). This community is separated from other communities by physical boundaries like streets, gardens… etc. The neighbourhood is not an exotic notion on human community but it is as ancient as history itself since it was there in ancient communities that dwelled on earth. Complications of urban life needs, caused by cities’ expansion, and the weakness of social relationships, imposed phy

The GPS navigation measurements become more widely used in many civilian and scientific application. All GPS navigation data holds many errors, the main error sources arise from the geodetic Datum variation when user apply the GPS measurements with the map. Geodetic datums define the size and shape of the earth and the origin and orientation of the coordinate systems used to map the earth surface. In this paper, the Datum transformation was evaluated in two mathematical methods to overcome the errors due to the difference between the WGS-84 and our country Datum Clarck-1880. The results was evaluated and investigated using Carmin GPS device for GCPs comparison, topographic map for Hilla city, mid Iraq 1:100000 scale, and two georefrencing

To determine the relationship between celiac disease and reproductive complication, twenty five women with clinically definite unexplained infertility aged (22-35) have been investigated and compared to fifteen apparently healthy women. All the studied groups were subjected to measurement of anti-tissue transglutaminase antibodies IgA and IgG by ELISA technique and anti-endomysial antibodies IgA and IgG by IFAT technique .There was a highly significant elevation (P< 0.01) in the concentration of anti- tTG IgA Abs compared to control group, Also, there was significant elevation (P< 0.05) in the concentration of anti- tTG IgG Abs compared to control group .The results illustrated that the prevalence of anti-EMA IgA and IgG Abs were (