The basic concepts of some near open subgraphs, near rough, near exact and near fuzzy graphs are introduced and sufficiently illustrated. The Gm-closure space induced by closure operators is used to generalize the basic rough graph concepts. We introduce the near exactness and near roughness by applying the near concepts to make more accuracy for definability of graphs. We give a new definition for a membership function to find near interior, near boundary and near exterior vertices. Moreover, proved results, examples and counter examples are provided. The Gm-closure structure which suggested in this paper opens up the way for applying rich amount of topological facts and methods in the process of granular computing.

   This paper aims to prove an existence theorem for Voltera-type equation in a generalized G- metric space, called the -metric space, where the fixed-point theorem in - metric space is discussed and its application.  First, a new contraction of Hardy-Rogess type is presented and also then fixed point theorem is established for these contractions in the setup of -metric spaces. As application, an existence result for Voltera integral equation is obtained.  

Targeted research to study variations formalism in the paintings of the scratch -linear , and through surveys carried out by the researcher , found and to his knowledge that the study did not address the researchers before, this researcher found rationale in the study of plates scratch and identify variations of design in it. , Which included the first chapter of the research problem in question the following: What morphological variations in the paintings of the scratch -linear ?In order to reach solutions to this problem and to achieve results so research aims to identify the characteristics of the scratch for paintings , and design fundamentals and relationships , which are identified by the researcher Balentajat completed in all of I

<div><p><em>This study investigates the use of the speech act of request by </em><em>Iraqi EFL (English as a foreign language) learners </em><em>in student-professor e-mail communication. It aims to examine request strategies and internal modifications in academic requests in e-mail. There has been little investigation of the issue of an academic request made by Arab EFL learners to a higher status person via an authentic data. Thus, this study intends to provide more investigation of the strategies and internal modifiers that are produced by Iraqi EFL learners when they interact with their professors via e-mail. However, this study adapts the CCSARP (cross-cultural speech act realization pr

Nations witnessed since its existence a state of wills conflict as a result of the intersection and intertwining of interests, through which it sought to achieve its goals and objectives, and this has often led to direct military conflicts and countless wars, and witnessed the entry into global wars in which humanity lost millions of lives and losses .Despite the great changes in the international arena, especially in recent decades, the conflict of wills has not ceased, although some of its features and forms have changed, and it has become more complicated after the withdrawal of this conflict to international organizations and bodies, including the Security Council. It is mandated under the Charter of the United Nations to wor

The graphic field invests the visual space then shows the shape by all means of expression that have a certain meaning. The research is interested in studying the iconic form in the modern graphic design through investing names and flags and the extent of their action in the social life and invest them from one to another looked at from viewpoint of trading and consumption and investing their wide popularity. The study problem is manifested in the following question:
1- Does the iconic form help in ad circulation?
The importance of the research lies in the following:
1- Reading the visual iconic form through deciphering its current symbols. The form combines a concept and a case or a form and meaning.

The theoretical fra

Machine Learning (ML) algorithms are increasingly being utilized in the medical field to manage and diagnose diseases, leading to improved patient treatment and disease management. Several recent studies have found that Covid-19 patients have a higher incidence of blood clots, and understanding the pathological pathways that lead to blood clot formation (thrombogenesis) is critical. Current methods of reporting thrombogenesis-related fluid dynamic metrics for patient-specific anatomies are based on computational fluid dynamics (CFD) analysis, which can take weeks to months for a single patient. In this paper, we propose a ML-based method for rapid thrombogenesis prediction in the carotid artery of Covid-19 patients. Our proposed system aims

The purpose of this paper is to study the properties of the
partial level density ( ) l g and the total level density g ( ),
numerically obtained as a l sum of ( ) l g up to 34 max l  , for
a Harmonic – Oscillator potential well. This method applied the
quantum – mechanical phase shift technique and concentrated
on the continuum region. Also a discussion of peculiarities of
quantal calculation for single particle level density of energy –
dependent potential