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 .

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 .

Abstract
The curriculum is amodern science which reflects the social philosophy and
what it needs . It searches for amothod that limits the knowledge that the
indiridual gets in the society and the sorts of the culture that suits the enrironment
in which they live. It also clears for them their history and their great in heritance.
It has a great in flunce in their mental growth ,and it teacher the students new
roles in the thin king ,and training then on what they have learned . According to
there points the problem concentrats on the mostimpotant difficulties which facer
thestudents in studing Arabic langnage text-books
In spite of the great care that the text taker but it is full of subjects and studies
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Interested current Research measuring damage currency Swap by converting The ministry of higher Education and scientific Research money The Iraqi dinar To U.S dollar by Trade Bank Of Iraq , And that The damage Generated resulting from Deferent Between the Exchange Rate adopted From Central Bank of Iraq and Market Exchange Rate adopted by The Trade Bank Of Iraq , and Which led to the greet damage ( losses ) in Bearing by the ministry, which led to the reduction of the financial allocations for licensed curriculum outside of Iraq , and this in turn leads  to reduction in the number of students Sender ( scholarships )  outside Iraq.

Where the estimated loss (damage) that suffer by the Ministry of H

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cakulated in the  present  work  u$_  ing the .2-   rati9 method. The results. obtained confirm the validit)l of this m'ethod and its cÂ

The bile salt hydrolase gene (bshA), encoding bile salt hydrolase enzyme (EC 3.5.1.24) from probiotic isolate Lactobacillus acidophilus Ar strain which is responsible for assimilation cholesterol were studied in the present work. About 801 bp in length DNA fragment of Lb. acidophilus Ar strain was amplified by PCR techniques. Two restriction sites (PstI/SacI) were added to each end of that fragment for manipulation of DNA during cloning. Amplified fragment inserted into pJET1.2\blunt end vector and pMG36e vector respectively. pJET1.2\blunt end vector is overexpression plasmid for E. coli MC1022, and pMG36e vector is a shuttle vector which is able to replicate in both E. coli and lactic acid bacteria. The resulted constructs were named as pJ

The study aims to provide a Suggested model for the application of Virtual Private Network is a tool that used to protect the transmitted data through the Web-based information system, and the research included using case study methodology in order to collect the data about the research area ( Al-Rasheed Bank) by using Visio to design and draw the diagrams of the suggested models and adopting the data that have been collected by the interviews with the bank's employees, and the research used the modulation of data in order to find solutions for the research's problem.

The importance of the study Lies in dealing with one of the vital topics at the moment, namely, how to make the information transmitted via