In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R³ is introduced. The modelling of the majorant function (MF) with the modified Newton method (MNM) is employed to convert N3D-VIOE to the linear 3D Volterra type integral operator equation (L3D-VIOE). The method of trapezoidal rule (TR) and collocation points are utilized to determine the approximate solution of L3D-VIOE by dealing with the linear form of the algebraic system. The existence of the approximate solution and its uniqueness are proved, and illustrative examples are provided to show the accuracy and efficiency of the model.

Mathematical Subject Classificat

يقوم الخطأ المضمر على فكرة مبناها استنتاج الخطأ من وقوع الضرر، منشئاً بذلك قرينة قانونية بسيطة للمدعي (المضرور) تعفيه من اثبات خطأ المدعى عليه (المسؤول)، وهذا الافتراض في الاساس فكرة قضائية وجدت لمساعدة المضرور في الحصول على التعويض في حالة عدم تمكنه من تحديد خطأ المسؤول ، الا انه افتراضٌ قابلٌ لإثبات العكس من خلال نفي اي خطأ صادر عن المدعى عليه ، ويمكن نفيه ايضاً بإثبات انقطاع السببية بين الخطأ المضمر والضرر

لم يعد تقييم شركات الاعمال يعتمد على ربحيتها فحسب، ولم تعد تلك الشركات تعتمد في بناء سمعتها على مراكزها المالية فقط، فقد ظهرت مفاهيم حديثة تساعد على خلق بيئة عمل قادرة على التعامل مع التطورات المتسارعة في الجوانب الاقتصادية والتكنولوجية والإدارية عبر أنحاء العالم. وكان من أبرز هذه المفاهيم مفهوم "المسؤولية الاجتماعية للشركات" والتسويق الاخضر او المواطنة التسويقية او التسويق البيئي . وقد أصبح دور مؤسسات ال

This research paper aims at studying the effect of adopting the corporate social responsibility on marketing performance indicators, where the study adopted the descriptive method for theoretical concepts, in addition to the statistical approach by using the SPSS v25 program to analyze the questionnaire and test the hypotheses of the study. The results showed that there is a positive correlation between social responsibility and marketing performance indicators, and the study found that it is better for NAFTAL Company to mix the environmental and social responsibilities in order to improve its marketing performance. Also, the study recommended that Naftal should adopt the four responsibilities equally, correctly and make its work

           The study aims at investigating the quality of internal auditing and its impact on nature, timing, and procedures of external audit, based on international auditing standards, in particular ISA (610). The standard ISA (610) requires the external auditors to assess independence, the scope of internal audit unit, competence, and due professional care of internal auditors as indicators that reflect the quality of internal audit performance before deciding to rely on internal auditors.

The sample of this study consisted of external auditors in Iraqi Solidary Companies for Auditing. A questionnaire was distributed to them via e-mail

Summary: This study aims to examine the names of four-legged animals found in Turkish translations of the Qur’an written between the 11th and 15th centuries from linguistic, etymological, and semantic perspectives. These translations, belonging to the Old Anatolian Turkish period, serve not only as religious texts but also as valuable documents reflecting the social structure, cultural values, and linguistic features of the time. Within the scope of this research, six major tafsir (exegesis) texts were systematically analyzed, and the data obtained were evaluated within historical and cultural contexts. The theoretical framework of the study is based on Lakoff and Johnson’s Conceptual Metaphor Theory and Wierzbicka’s approach to lingu

The current research aims to reveal the level of satisfaction of the mentors with the evaluation of their performance according to gender (male - female) and to formulate the predictive equation for the level of performance (dependent variable) from knowing the level of satisfaction with the evaluation (independent variable). (16 paragraphs) contains alternatives to the answer that measures the level of satisfaction (weak, medium, and high) (1,2,3), that is, with a hypothetical average of (32). It consisted of 100 educational counselors consisting of 45 males and 55 females, the results of the research concluded that the level of satisfaction with performance is below the mean when compared with the hypothetical average of the scale of s

those affected by technological development risks within the scope of medical works. The unprecedented technological development the world witnesses nowadays has been providing brilliant medical service to the human being including examination, diagnosis and the treatment or follow up. However, such works hide behind potential risks threatening people's lives and such risks my be discovered within the limits of now – how and technical knowledge prevailing the time of rendering the medical service. Also this the question is raised on how to keep up between the safety of the patients and such risks are being unknown by the provider and questioning them contradicts the justices. subsequently, can the patients (affected) acquire the compensat

         Necati Cumalı, the Turkish writer and poet, was born on the 13^th of January 1921. The Origin of his name coincides with the same Friday where an airplane crush accident happened inside the borders of Greece where he used to live. He was one of the 20^th century most prominent writers whose fame lasted for 80 years until his death on the 10^th of January 2002.

    Although Necati Cumalı worked in various literary fields such as short stories, novel, drama, and critical analysis, he was often known as a poet. His poetry celebrates highly elevated emotions to love and nature in unique lifestyle that displays his delightful diction. The p