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 .

The aim of this paper is to determine the feasibility of using fluorometric methods as an indicator for quality and contamination of milk with E.coli bacteria, and selection the suitable wavelength to be used with laser induced auto fluorescence. Three groups of milk samples were used in this study: Fresh pasteurized milk samples, milk samples containing different concentration of E.coli bacteria which were added artificially, and milk samples that were kept in refrigerator for 3-5 days. Thirteen excitation wavelengths were used to get the emission spectra for all milk samples using spectroflourometer .The results showed that the emission spectra at 275nm excitation wavelength gave a good differentiation between these three groups.

Diversity the terms and practice the organizational filed with different concepts and environment, which Iraqi environment part from them. Some organizational in Iraqi environment leave its basic oriented to agreement with the leader desire, their fore this research focus tow basic variable (organizational citizenship behavior & transparence), we supposition which is dependent to explanation the response variable (strategic leadership). The results justification in part and not justification in another part. For example the organizational citizenship behavior effect on some parte of the strategic leadership. The transparence have faraway to fly from the relation with organizational citizenship behavior and strategic leadershi

The social networking sites have brought about fundamental changes and a qualitative shift in the marketing industry and its strategies. The Iraqi ministries have used this site i.e. Facebook to spread and disseminate values in order to consolidate it in Iraqi society which has witnessed many changes in all aspects of life.

   The researcher studies the pages of both ministries to know the values contained in the publications of the pages of these two ministries, the quality of grooming as well as the forms in which these values are marketed.

     The researcher uses a survey method and content analysis for the publications of these two pages during the study period starting from January 1, 2

This research aims to study the contribution of social costs contribution to achieving social luxury in Al-Furat General Chemical Industries company that has considered second largest contamination in the area after the invasive power  to deal with chemicals in manufacturing and very dangerous to individual society and environment ,this is first to play an effective role by the senior parties related to sense of social responsibility of the internal and external environment of the company to identify costs that are preventing ,reduced and treating damage caused and achieving sustainable development ,to achieve this goal  and what they reached are the difficulty of accounting for the environment and social costs from final accou

The Iraqi culture faced a set of challenges that can be diagnosed with the most prominent features as follows:

1. The dominance of authoritarian political systems which entails authoritarian regimes with the absence of contemporary political concepts of human rights.
2. The prevalence of non- informed cultural systems which have the shortage of capabilities that enable them to activate cultural elements in positive references, historical, or seclusion on itself and not be able to interact with the current active cultures.
3. Stagnant economic conditions have not had a decent life for individuals, or a certain level of well-being, as well as poor services and others.
4. Social life controlled by the prevai

The calculation. of the nuclear. charge. density. distributions. ρ(r) and root. mean. square. radius.( RMS ) by elastic. electron. scattering. of medium. mass. nuclei. such. as (⁹⁰Zr, ⁹²Mo) based. on the model. of the modified. shell. and the use of the probability. of occupation. on the surface. orbits. of level 2p, 2s eroding. shells. and 1g gaining. shells. The occupation probabilities of these states differ noticeably from the predictions of the SSM. We have found. an improvement. in the determination. of ground. charge. density. and this improvement. allow. more precise. identification. of (CDD) between. (⁹²Mo- ⁹⁰Zr) to illustrate the influence of the extra

The research aims to shed light on the role of SAIs and the nature of their work, with the definition of the concept of quality reports and to clarify the reality of quality in the FBSA reports, the researchers reached to conclusions, including: The quality of the SAI reports is a requirement seeks to achieve any regulatory system in order to develop audit work output of the form in which its impact is reflected positively on the performance of the entities controlled, and researchers gave a set of recommendations, including: the need to increase community awareness of the importance of the FBSA Supervisory reports through conferences, seminars and workshops and that FBSA to follow-up reports, and check the quality continuously to the fa

Money matters exert a considerable influence on man’s life-style, social
rank and his relationship with other people. This paper aims at exploring the impact
of money matters on the characters’ inner feelings, social status, and personal
relationships in Muriel Spark’s modern novel The Ballad Of Peckham Rye. This
paper aspires to show that Spark’s subtle portrayal of characters reveals the
dominance of money matters over human and social relationships.
Muriel Spark ( 1918-2006) is a modern Scottish novelist whose wit and
detached sense of humour has brought her prolific body of both popular and critical
acclaim. Spark is interested not in building suspense but in exploring the moral
significance of the