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The Representaion of Algebraic Integers as Sum of Units over the Real Quadratic Fields: REPRESENTAION OF ALGEBRAIC INTEGERS AS SUM OF UNITS OVER THE REAL QUADRATIC FIELDS
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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 .

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Publication Date
Wed Dec 27 2017
Journal Name
Al-khwarizmi Engineering Journal
The Determination of Critical-Sampling Scheme of Preprocessing for Multiwavelets Decomposition as 1st and 2nd Orders of Approximations.
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One of the important differences between multiwavelets and scalar wavelets is that each channel in the filter bank has a vector-valued input and a vector-valued output. A scalar-valued input signal must somehow be converted into a suitable vector-valued signal. This conversion is called preprocessing. Preprocessing is a mapping process which is done by a prefilter. A postfilter just does the opposite.

The most obvious way to get two input rows from a given signal is to repeat the signal. Two rows go into the multifilter bank. This procedure is called “Repeated Row” which introduces oversampling of the data by a factor of 2.

 For data compression, where one is trying to find compact transform representations for a

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Publication Date
Sun Sep 01 2024
Journal Name
Al-rafidain Journal Of Medical Sciences ( Issn 2789-3219 )
The Sensitivity of Immunohistochemical Expression of p53 as an Indicator of the Malignant Potential of Gastric Hyperplastic Polyps: A Retrospective Study
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Background: Hyperplastic polyps account for 30–93% of gastric polyps. Recently, there have been studies about the development of dysplasia in this type of polyp. Every cell in the body contains the p53 gene, which has anti-cancer properties. Objective: The sensitivity of immunohistochemical expression of p53 is evaluated among gastric hyperplastic polyps with and without dysplasia and gastric adenomatous polyps to know its usefulness as a diagnostic marker. Methods: A retrospective cross-sectional study was done on fifty formalin-fixed paraffin-embedded blocks of gastric polyps (44 hyperplastic polyps without dysplasia, 3 hyperplastic polyps with dysplasia, and 3 adenomas). Cases were collected from the archives of the pathology d

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Publication Date
Sun Jun 11 2017
Journal Name
Al-academy
Shape of Round house as an Effective Strategy in the Collection of Art Education Students
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The two researchers selected the problem of research which represented with the following asking: Does the use of the shape of Round house strategy have effectiveness in the collection of students of the Department of Art Education of the subjectof teaching methods?
The research aims to "measure the effectiveness of Strategy shape of Round house in the collection of students of the Department of Art Education for the material teaching methods" and to verify the aim of the research two zeroassumptions was identified to measure the level of achievement in the subject of teaching methods of third stage students in the Department of Art Education –College of Fine Arts.
The research community included the students of Art Education Dep

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Publication Date
Tue Feb 01 2022
Journal Name
Advanced Powder Technology
Functionalization of mesoporous MCM-41 for the delivery of curcumin as an anti-inflammatory therapy
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Publication Date
Fri Nov 01 2024
Journal Name
Journal Of Kufa Legal And Political Science
The legal system of mandatory mediation as a mean of setting disputes Comparative analytical study
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The mediation system is based on settling the dispute amicably through the intervention of a third party by bringing views closer away from the judiciary, which is an amicable way to settle disputes, which disputants resort to voluntarily, but some Western legislation has begun to impose resorting to mediation to settle disputes compulsorily, to take advantage of its advantages, get rid of the disadvantages of resorting to the judiciary in some disputes, and relieve pressure on the courts.

Publication Date
Tue Jun 17 2025
Journal Name
Journal Of Baghdad College Of Dentistry
The effect of anti-oxidant agents as neutralizers of bleaching agents on dentin bond strength
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Background: Reduction in bond strength when bonding was done immediately after intracoronal bleaching procedure has been recognized. The purpose of this study is to assess the effect of antioxidants (10% sodium ascorbate (SA), 0.1M thiourea and7% sodium bicarbonate (SB)) on reversing bonding strength of composite resin to bleached dentin. Materials and method: Sixty upper 1st premolar teeth, were selected, the crowns of the teeth were embedded in acrylic resin blocks exposing a flat dentin from the buccal surface, then divided into 6 groups (10 samples each). Bleaching for the experimental groups was performed using 35% hydrogen peroxide bleaching gel (pola–office).Group A (Negative

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Publication Date
Sun Jan 27 2019
Journal Name
Journal Of The College Of Education For Women
The Inauguration of Faisal Bin Al -husain as Iraq King (A Study of British Documents)
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Husain as a king of Iraq.
This paper deals with the British communication with faisel . then Winston Churchill's speech in British common house .then fodlowed by arriving faisal to Iraq after that the referend um faisel .
The his claims of British maneuver lastly coronation on faisal & his inauguration as a king of Iraq.

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Publication Date
Sat Jan 01 2022
Journal Name
Lecture Notes In Civil Engineering
Evaluation the Level of Service of Signalized Intersection: Al-Amreia Intersection as a Case Study
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Abstract<p>One of the main element in the network is the intersection which consider as the critical points because there are many conflict in this element. The capability and quality of operation of an intersection was assessed to provide a better understanding of the network's traffic efficiency. In Baghdad city, the capital of/Iraq the majority of the intersections are operated under the congestion status and with level of service F, therefore theses intersection are consider as high spot point of delay in the network of Baghdad city. In this study we selected Al-Ameria signalized intersection as a case study to represent the delay problem in the intersections in Baghdad. The intersection is located in the w</p> ... Show More
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Publication Date
Tue Jun 01 2021
Journal Name
Journal Of Planner And Development
Spatial analysis of rural services in the district of Fallujah, Zgharit village, as a model
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          The study of services in villages is one of the imperative matters that must   be focused on, because it leads to increased attention, which reduces the differences between the countryside and the urban. The extent of its.

  It is well known that community services need to be reached by a person, unlike the anchor services that reach people, here the population distribution plays an important and prominent role in signing these services, so the dispersed distribution pattern and the gathering pattern appeared in the distribution, thus an effect on the time and distance that the person walked to obtain The services are community-based. Therefore

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Publication Date
Tue Jul 11 2017
Journal Name
The 39th Annual International Conference Of The Ieee Engineering In Medicine And Biology Society (embc'17)
Higuchi fractal dimension of the electroencephalogram as a biomarker for early detection of Alzheimer's disease
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It is widely accepted that early diagnosis of Alzheimer's disease (AD) makes it possible for patients to gain access to appropriate health care services and would facilitate the development of new therapies. AD starts many years before its clinical manifestations and a biomarker that provides a measure of changes in the brain in this period would be useful for early diagnosis of AD. Given the rapid increase in the number of older people suffering from AD, there is a need for an accurate, low-cost and easy to use biomarkers that could be used to detect AD in its early stages. Potentially, the electroencephalogram (EEG) can play a vital role in this but at present, no reliable EEG biomarker exists for early diagnosis of AD. The gradual s

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