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 applications of herbal medicine have recently acquired growing interest in range of the prophylaxis and treatment of diseases. Olibanum has been used since ancient eras and several reports studied the pharmacological characteristics of boswellic acid, particularly their effect on the inflammatory response, analgesic properties, and anti-arthritic activity mostly in cell lines, but new approaches include animal models to assess these natural derivatives effects taking into consideration of being safer than synthetic preparations.  The impact of olibanum oil on several parameters was studied in rats during this study. These included white blood cell (WBC) count, lactate dehydrogenase (LDH), and C reactive protein (CRP), as well a

Abstract: As human history is implicated in landscape or the natural history, it can be stated that the origins of the Caribbean writers' conflict, in general, are the colonial history of West India. That history which tells the story behind not only their fragmented identity, but also the problems connected to their language as well. Building on the arguments of the prominent Postcolonial ecoccritics such as Elizabeth DeLoughrey, George Handley, Helen Tiffin, and Graham Huggan, this research analyzes selected poems by Derek Walcott's which are bounded in his volume, Collected Poems. It shows how the Caribbean history has been erased due to the brutality of colonization offering landscape as a reliable source which has recorded that history

     The research aimed to identify the extent to which the media offices in the ministries depend on the website of the Iraqi Council of Ministers as a source of information. Such goal includes a set of sub-goals: Knowing the reasons for media offices' reliance on the information provided by the Cabinet's website; and revealing the benefit derived from relying on the Cabinet's website.

The researcher used the survey method to screen and comprehend the extent to which the media offices in the ministries depend on the website of the Iraqi Council of Ministers as a source of information.

The mechanism of comprehensive account of the limits of research wa

The aim of this research is subjected to discover The Dictation mistakes which occur
widely in the Arabic Language written by Iraqi – News papers.
The research classified These Mistakes in Three groups as Follows:
1. The first group dealing with distinguishing between the Arabic – letter ) ا ( When Written
or ) أ ( at The beginning The word and as ) ئ ( which differ in meaning from each other .
2. The second group dealing with the writing of The Arabic ) ٙ( and as ) ٛ( at the end of The
word which differ in meaning from each other.
3. The Third group dealing with distinguishing in written The Arabic letter as ) ض( or as ) )ظ
which differ in meaning From each other.
4. The fourth group dealing with Th

This research sheds light on those discrepancies in the use of ornaments, adornment and perfumes, as well as the art of cosmetics, in two important civilizations, namely, the Mesopotamian civilization as the earlier civilization, and the civilization of Yemen, which represents the first Arab civilization. Through the foregoing, our research includes two topics, the first topic included the history of the use of decorations, ornaments and perfumes in the civilization of Mesopotamia, while the second topic included the study of ornaments, adornment and cosmetic art in the ancient civilization of Yemen. And then the research came out with a number of conclusions that the researcher considers very important to highlight the differences and f

Resumen:

 El presente trabajo intenta analizar las características del lenguaje jurídico español a cuya estructura se debe su complejidad. A la vez, damos una descripción detallada de sus rasgos morfosintácticos, léxico-semánticos y estilísticos. En ningún momento, pretendemos fijar unas pautas o normas para la traducción de este lenguaje que requiere unos previos conocimientos jurídicos y cierta preparación para proceder a realizar esta tarea. Nuestra intención es, simplemente, ofrecer al lector árabe una pequeña visión de lo difícil que es comprender los textos legales españoles hasta para los nativos para imaginarse las posibles dificultades a la hora de iniciar a traducirlos.

Одной из трудностей, вызывающих искажение смысла предложения, при переводе и понимании любых текстов зачастую является неправильное понимание функций и значений: союзов и союзных слов или замена одного значения другим. Это объясняется прежде всего тем, что при чтении основное внимание сосредоточено на переводе главных частей речи, на их многофункциональности и многозначности и упускаются из вида втор

تحليل الأخطاء الصوتية في بعض كتب اللغة الروسية الدراسية

Модальные частицы это служебные слова, которые служат в
предложении для выражении различных оттенков значений и
представляют собой продукт сложных изме- нений грамматического
строя русского языка.
Явно категория модальных частиц тесно соприкасается с
частями речи и частицами ((Модальность в русском языка
выражается формами наклонений, а так же лексическими
средствами-модальными словами и