Let G be a graph, each edge e of which is given a weight w(e). The shortest path problem is a path of minimum weight connecting two specified vertices a and b, and from it we have a pre-topology. Furthermore, we study the restriction and separators in pre-topology generated by the shortest path problems. Finally, we study the rate of liaison in pre-topology between two subgraphs. It is formally shown that the new distance measure is a metric

• The problem of infertility considers one of the chronic problem a which faced the
  individual & families equally . This problem causes a negative effects in psychological ,
  social and development fields. The infertility contributes in weakening the human
  development, when the human development has become as a centre point which centered
  about individual preparing , rehabilitation, training and knowledge toreach to the required
  excellence.
  We think that , the infertility destroys the socially development; therefore the socially and
  scientific institutions are working hard to find successful solution to resolve the problem
  infertility through sophisticated and scientific methods. This problem

In this paper, the proposed phase fitted and amplification fitted of the Runge-Kutta-Fehlberg method were derived on the basis of existing method of 4(5) order to solve ordinary differential equations with oscillatory solutions. The recent method has null phase-lag and zero dissipation properties. The phase-lag or dispersion error is the angle between the real solution and the approximate solution. While the dissipation is the distance of the numerical solution from the basic periodic solution. Many of problems are tested over a long interval, and the numerical results have shown that the present method is more precise than the 4(5) Runge-Kutta-Fehlberg method.

In this paper, CdS/Si hetrojunction solar cell has been made by
Chemical Bath Deposition (CBD) of CdS thin film on to
monocrystalline silicon substrate. XRD measurements approved that
CdS film is changing the structure of CdS films from mixed
hexagonal and cubic phase to the hexagonal phase with [101]
predominant orientation. I-V characterization of the hetrojunction
shows good rectification, with high spectral responsivity of 0.41
A/W, quantum efficiency 90%,and specific detectivity 2.9*1014
cmHz1/2W -1 .

   In this study, the researcher aimed to define and measure the relevance and effect of the governmental organizations in complying with Iraqi Ministry of Transportation's requirements towards achieving the social responsibility, embodied in the ten commandments of the United Nations Findings displayed the availability of realization regarding organization managers towards social responsibility with their various capabilities and tendencies in relation with the representing entries of those Ten Commandments.The study showed the relation between the effectiveness of those organizations and dimensions of the ten commandments of social responsibility, with the existence of a significant effect for the said effectiveness on achiev

    In the presence of multi-collinearity problem, the parameter estimation method based on the ordinary least squares procedure is unsatisfactory. In 1970, Hoerl and Kennard insert analternative method labeled as estimator of ridge regression.

In such estimator, ridge parameter plays an important role in estimation. Various methods were proposed by many statisticians to select the biasing constant (ridge parameter). Another popular method that is used to deal with the multi-collinearity problem is the principal component method. In this paper,we employ the simulation technique to compare the performance of principal component estimator with some types of ordinary ridge regression estimators based on the value of t