In this paper we generalize Jacobsons results by proving that any integer  in   is a square-free integer), belong to . All units of  are generated by the fundamental unit  having the forms

Our generalization build on using the conditions

This leads us to classify the real quadratic fields  into the sets  Jacobsons results shows that  and Sliwa confirm that  and  are the only real quadratic fields in .

Indium Antimonide (InSb) thin films were grown onto well cleaned glass substrates at substrate temperatures (473 K) by flash evaporation. X-ray diffraction studies confirm the polycrystalline of the films and the films show preferential orientation along the (111) plane .The particle size increases with the increase of annealing time .The transmission spectra of prepared samples were found to be in the range (400-5000 cm-1 ) from FTIR study . This indicates that the crystallinity is improved in the films deposited at higher annealing time.

 This study dealt with the basics of financial inclusion in terms of concept, importance and objectives, The empowerment of women financially and bank,and then the relationship between financial inclusion and women, and determine the requirements of inclusion Financial resources for women. The analytical descriptive method was used for data, which included reviewing and analyzing information And data in economic and financial literature. The study: reached a number of conclusions, the most important of which are Financial inclusion contributes to women's financial and banking support, as there is a positive relationship between financial institutions Banking and women's access to financial and banking services, thus playing a role i

The real estate prices in the Iraqi market have witnessed a significant increase in the prices of residential units, including land plots and residential buildings, especially after the approval of the new exchange rate and the provision of financial loans to employees and citizens. Therefore, real estate loans are considered one of the financing tools in the housing sector, whether these loans are directed towards the construction of new housing or the rehabilitation of existing buildings for housing. The housing market is an important component of the economic and social system, as housing is a commodity that is influenced by supply, demand, and the trade of materials involved in housing unit production. The housing system is also

 The transfer function model the basic concepts in the time series. This model is used in the case of multivariate time series. As for the design of this model, it depends on the available data in the time series and other information in the series so when the representation of the transfer function model depends on the representation of the data In this research, the transfer function has been estimated using the style nonparametric represented in two method  local linear regression and cubic smoothing spline method The method of semi-parametric represented use semiparametric single index model, With four proposals, , That the goal of this research is comparing the capabilities of the above mentioned m

Religion in its general and simplified form is defined as a set of values or moral laws, which include provisions that people should follow to organize their affairs and ratify that they are provisions sent from the divine. 

      The concept of religion is not limited to the narrower sense represented by the performance of the virtual rituals of worship and religious fashions, etc., but also includes all the moral and spiritual values, conduct and good dealing that reflect the true essence of religion, which boils down to a set of values – such as sincerity, honesty and dedication to work, merciful dealing and compassion, etc. All religions agree on the moral content of religion. The Prophet of Is