The investigation of determining solutions for the Diophantine equation  over the Gaussian integer ring for the specific case of  is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.

Background: Colorectal cancer (CRC) is a major killer, and nonalcoholic fatty liver disease (NAFLD) affects almost one-quarter of the global population. The aim of the study is to Investigate the correlation between nonalcoholic fatty liver disease (NAFLD) and an increased risk of colorectal cancer (CRC), as well as the relationship between liver function enzymes and specific serum biomarkers in CRC patients with NAFLD. Methods: A case-control study involving 60 participants was conducted from February to August 2022. The patients with colon cancer were examined at Baghdad Medical City's Al-Amal Hospital for Radiation and Nuclear Medicine and Oncology Teaching Hospital, and blood samples were taken. Thirty patients with NAFLD who ha

The purpose of this study was to examine the histological structure of the kidney in snake Eryx gaculus gaculus. In present study, the snakes were collected from the city of Baghdad and transferred to the laboratory where their kidneys were dissected out. The samples were then processed to be prepared for histological examination microscopial observations showed that there is no border between the cortex and medulla regions of kidney. The kidney consists of nephrons which are composed of glomerulus surrounded by Bowman’s capsule; the other segments are proximal tubule, distal tubule and connecting tubule. The epithelial tissue lining of these segments simple cuboidal tissue.

Newspaper headlines are described as compressed and ambiguous pieces of discourse that represent the bodies of the articles. Their main function is to provide the readers with an informative message they would have no prior idea about. Ifantidou (2009) claims that the function of a headline is to get the readers’ attention rather than providing information because it does not have to represent the whole of the article it refers to. This paper aims at examining this hypothesis in relation to scientific news headlines reported by a number of news agencies. The paper follows Halliday (1967) information structure theory by applying it on ten selected headlines; each two headlines represent one scientific discovery reported by different new

Direct agglutination test was used to evaluate the immunogenicity of three different antigens inoculated in hamsters as one , two and three doses which were: Group (1) inoculated with autoclaved killed Leishmania tropica , Group (2) inoculated with BCG vaccine alone while Group (3) inoculated with mixed antigens (autoclaved killed Leishmania "AKL"+ BCG).(4) Control animals inoculated with phosphate buffer saline. The maximum level of antibody titers were evaluated in animal inoculated with one , two or three dose of mixed antigens (320 , 640 and 1280) respectively when it compared with animals inoculated with corresponding doses of AKL antigen (80 , 160 and 320) respectively. While the minimum level of antibody titers were observed in ani

In this study new derivatives of O-[2-{''2-Substituted Aryl (''1,''3,''4 thiadiazolyl) ['3,'4-b]-'1,'2,'4- Triazolyl]-Ethyl]-p- chlorobenzald oxime (6-11)have been synthesized from the starting material p-chloro – E- benzaldoxime 1.Compound 2 was synthesized by the reaction of p-chloro – E- benzaldoxime with ethyl acrylate in basic medium. Refluxing compound 2 with hydrazine hydrate in ethanol absolute afforded 3. Derivative 4 was prepared by the reaction of 3 with carbon disulphide, treated of compound 4 with hydrazine hydrate gave 5. The derivatives (6-11) were prepared by the reaction of 5 with different substitutesof aromatic acids. The structures of these compounds were characterized from their melting points, infrared spectroscopy

Arid and semi-arid climates are critical for water security in sustainable river systems. The Euphrates River in western Iraq has been increasingly stressed by both geogenic and anthropogenic factors. This study analyzed hydro-geochemical processes, recharge dynamics, and groundwater flow modeling in western Iraq. Additionally, stable isotope tracing (δ¹⁸O, Cl⁻) integrated with hydro-chemical parameters was used to assess water quality and river-aquifer connectivity in both Syria and western Iraq. A total of 144 groundwater samples were collected annually across 12 stations in western Iraq. Surface water and groundwater data were collected from previous studies at 13 stations in Syria. Results revealed slightly alkaline freshwater con

         Cataract, which is the opacity inside clear ocular lens of eye, result in the scattering of visible light as it passes via the lens and consequently deterioration in optical image. The aim of the present study was to investigate whether safranal, an active constituent of Crocus sativus L. stigmas, has a protective effect on the cataract in the rat's pups. The animals were randomly divided into five groups, each of which consisted of 7 rat pups. Group I served as normal control (vehicle administration). For testing cataract induction, animals of Groups II, III, and IV were administered a single subcutaneous injection of sodium selenite on postpartum day 12. After sodium selenite intoxicatio

         57 isolates of Mycobacterium tuberculosis and Mycobacterium bovis were identified; they were isolated from different clinical sources which included sputum, bronchial wash, abscess, pleural fluid, gastric fluid, eye fluid, and CSF, also urine and ear swab. This investigation was carried out on 198 patient attended National Reference Laboratory for T.B during September 2009. Also the study declared that the ratio of separation of this bacterium from male was (67.6%) and it’s higher than the ratio of separation this bacterium from females which was (32.3%). The susceptibility of Mycobacterium tuberculosis to melatonin was evaluated. Many concentrati

The protective effect of benfotiamine against doxorubicin-induced cardiotoxicity was evaluated in rabbits. Pretreatment of rabbits with 70mg/kg benfotiamine orally 7 days before induction of cardiotoxicity with I.V 15mg/kg doxorubicin. injection resulted in significant reduction of the activities of lactate dehydrogenase and creatine phosphokinase enzyme in the serum compared to doxorubicin treated animals; benfotiamine also improves the histological changes produced by doxorubicin in the cardiac muscle compared to control. In conclusion, benfotiamine when used concomitantly with doxorubicin protects the myocardium against the cardiotoxicity induced by this cytotoxic drug.