Let R be a commutative ring with identity, and let M be a unity R-module. M is called a bounded R-module provided that there exists an element x?M such that annR(M) = annR(x). As a generalization of this concept, a concept of semi-bounded module has been introduced as follows: M is called a semi-bounded if there exists an element x?M such that . In this paper, some properties and characterizations of semi-bounded modules are given. Also, various basic results about semi-bounded modules are considered. Moreover, some relations between semi-bounded modules and other types of modules are considered.

The purpose of this paper is applying the robustness in Linear programming(LP) to get rid of uncertainty problem in constraint parameters, and find the robust optimal solution, to maximize the profits of the general productive company of vegetable oils for the year 2019, through the modify on a mathematical model of linear programming when some parameters of the model have uncertain values, and being processed it using robust counterpart of linear programming to get robust results from the random changes that happen in uncertain values ​​of the problem, assuming these values belong to the uncertainty set and selecting the values that cause the worst results and to depend buil

* مشكلة البحث والحاجة اليه:

تأتي أهمية هذا العلم وقوته ومدى الحاجة اليه لكل الناس وخاصة اللذين يريدون أن يغيروا عاداتهم السيئة ويأثروا في غيرهم ، أذ اكد المفكرون والقادة والمصلحون ورجال التربية أنه يجب على الإنسان ان يكون مثابراً ومجتهداً ومتقناً لعمله ، ومنظماً لوقته الى اخر القائمة الطويلة من مفردات الجودة ولم يقولوا كيف يمكن للانسان ان يفعل ذلك ؟ أن علم الهندسة النفسية استطاع ان يجيب.&nbsp

    The mark at the Children's Theater did not receive as much attention as in the adult theater, despite the great attention given to its visual system, but some of the directors of the Children's Theater approached the application of the same system of marking in the adult theater, without limiting  a certain mechanism  that identifies the mechanisms of mark operation and the modalities of its transformation in the visual display system, which called on the  researcher to shed light in this study on the scientific shift in the visual display system and its functions in the children's theater. The researcher formulated a title for his research (the mark transformation of the visual display system in the chi

This research aims to solve the problem of selection using clustering algorithm, in this research optimal portfolio is formation using the single index model, and the real data are consisting from the stocks Iraqi Stock Exchange in the period 1/1/2007 to 31/12/2019. because the data series have missing values ,we used the two-stage missing value compensation method, the knowledge gap was inability the portfolio models to reduce The estimation error , inaccuracy of the cut-off rate and the Treynor ratio combine stocks into the portfolio that caused to decline in their performance, all these problems required employing clustering technic to data mining and regrouping it within clusters with similar characteristics to outperform the portfolio

This research is a theoretical study that deals with the presentation of the literature of statistical analysis from the perspective of gender or what is called Engendering Statistics. The researcher relied on a number of UN reports as well as some foreign sources to conduct the current study. Gender statistics are defined as statistics that reflect the differences and inequality of the status of women and men overall domains of life, and their importance stems from the fact that it is an important tool in promoting equality as a necessity for the process of sustainable development and the formulation of national and effective development policies and programs. The empowerment of women and the achievement of equality between men and wome

Interpreting  is a process adopted by a skillful and well qualified interpreter to convey orally the meaning from a source language into a target language simultaneously .In this process the interpreter has no time to think or check the exact meaning of the words, phrases and sentences. The main technique used by the interpreter is based on his/her competence .This type of translation is used in press conferences and political speeches of  high rank figures.

This paper deals with analyzing the interpretation  of Obama's farewell speech  adopted by two authentic TV Channels(Sky News and AL- Jazeera).The aim of this paper is to investigate the quality of each interpreting by adopting   Nida's (1996:164

The study of cultural identity and its data in the designer’s work is considered a cultural nature to highlight the cultural identity and link it to the national culture of their country and society. It provides a reflection and translation of the society’s culture, traditions, social and economic dimensions, the natural environment, and scientific phenomena. Within meanings translated into a variety of methods, including expressive and realistic, which defines the designer’s relationship with his society and the national culture of his country and his connection with the civilization of the country.
The research problem came with the following question: What are the data of cultural identity in the work of designer David Gent

This study aimed to identify the role of digital transformation in improving the quality of the internal audit process. The researchers used the descriptive analytical approach, and the questionnaire was relied on as a study tool that was applied to the study population consisting of internal auditors working in banks listed on the Palestine Stock Exchange, and their number was (85). A checker and a comprehensive inventory method was used due to the small size of the community, where the response data of the questionnaire was analyzed and interpreted using the Statistical Packages Program (SPSS).

The results of the study showed that the use of digital transformation contributes to ensuring the quality of

المستخلص [English] Peace-building is a science that has its foundations and needs mechanisms, components, studies and plans based on the needs of the parties responsible for achieving peace and meeting the necessary needs of conflict societies, as it has become a goal sought by many local and regional actors and parties. The State of South Africa has realized this fact and has devoted space in its conception and planning to addressing the issues of conflict and war within the framework of its unitary work.Since security and stability in general seek to create peaceful and legal means through which existing problems can be expressed and addressed. The differences have varied to build peace and create cooperation between groups and th