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 .

   History matching is a significant stage in reservoir modeling for evaluating past reservoir performance and predicting future behavior. This paper is primarily focused on the calibration of the dynamic reservoir model for the Meshrif formation, which is the main reservoir in the Garraf oilfield. A full-field reservoir model with 110 producing wells is constructed using a comprehensive dataset that includes geological, pressure-volume-temperature (PVT), and rock property information. The resulting 3D geologic model provides detailed information on water saturation, permeability, porosity, and net thickness to gross thickness for each grid cell, and forms the basis for constructing the dynamic reservoir model. The dynamic reservoir mo

The prophet was against the monopoly . He warned the monopolies with great punishment . inspite of the high price in his time, he did not price , so did the rightely guided caliphes and the ummayads . Umar b abid al-aziz had been asked to price but he refused and said ―the prophet said ― ― God grieves ,pleases and fixes price ―
The monopoly was declard announce in the third and the fourth centuries of A.H . because of the weakness of the Islamis State and it’s failure to find the real reasons of it’s existence. Besides that they used the guaranty system in collecting the money . The guaranted shared in monopoly the food-stuff and sold it in high price .Add to that the foreign control on the executive power ,not to be menti

The modern nation state, by virtue of its institutional nature, is divided into political and non-political institutions according to their respective jurisdictions. It is natural for non-political institutions to perform their functions under the control of the political establishment, for two reasons: first, Second: Ensuring the achievement of cooperation, harmony and integration between these different institutions in serving the stability of the society and its continuity and achieving its supreme objectives. The location of the military establishment is part of the non-political institutions of the state, since it carries out a non-political function that is based on defending the homeland against any threats that may threaten its s

      Regret is a feeling that affects a person when he does something, realizing that his present situation would be better if he did not commit this act, or behaved differently in the past. It is also a look back. It makes a person feel dissatisfied, and hopes if he can change In the past, this research deals with the remorse of the hair of Dick Homs al-Jinn, who killed his sweetheart and his wife (Ward), after an alleged treason without being confirmed, and when he found out the truth he regretted killing her all his life. His poetry is studied carefully, and he has not received the attention of scholars like other poets of his time; and his unwillingness to keep up with

The media plays an important role in a number of functions performed by them. Press is one of those media which had and still have a clear role in addressing the various issues, topics, and events. Journalism is no longer as expressed by owners of the liberal theory – it seeks to raise the instincts – but it began to excite the minds of readers to meet their needs. At the same time, it does not neglect the search for the truth and work to deliver it to readers. Some have identified a set of tasks carried out by the press including the interest in public affairs, the needs of the community, work to provide happiness, what is beneficial and useful and combat the negative phenomenon and to address the deviations facing society. The comi

The Mythical Reference in the Poetry of Nabil Yassin

The research aims:
1- To know the intemperance use of the internet by the University's students.
2- To know the differences with a statistical indication in the intemperance use of the internet after the gender's inconstant ( Males-females).
3- To know the differences with a statistical indication in the intemperance use of the internet after the Major's inconstant ( scientific- humanistic)
This current research restricts a sample of the university students for both sexes.
Theoretical frame:
The research viewed several theories that explains intemperance use of the internet & the results.
Research measures :
1- Research has been adapted the scale ( Internet use) which was prepared by the Moroccan researcher (

Hardly a society is devoid of manifestations of imitating the opposite sex with the disparity between societies in quantity and quality, as imitating the opposite sex is an old phenomenon, and whoever follows what the old researchers wrote on this subject, finds various sayings, some of which lack evidence, being a kind of guesswork, A generalization that is not based on what is evidenced by it, and others consider resemblance to a behavior in which an animal resembles a human being. I will highlight in this research the resemblance to the opposite sex in the cultures of peoples, making the study into three sections. The manifestations of resembling men and women spread in Greek society greatly, and then the second study was devoted to the

the films of cdse pure and doped with copper ratio glass substrate effect od cucomcentration technique thikness doped with copper is an anonmg and the density of state increases