In this work, we study several features of the non-zero divisor graphs (ℵZD- graph) for the ring Zn of integer modulo n. For instance, the clique number, radius, girth, domination number, and the local clustering coefficient are determined. Furthermore, we present an algorithm that calculates the clique number and draws the non-zero divisor for the ring Zn.

Orthogonal polynomials and their moments serve as pivotal elements across various fields. Discrete Krawtchouk polynomials (DKraPs) are considered a versatile family of orthogonal polynomials and are widely used in different fields such as probability theory, signal processing, digital communications, and image processing. Various recurrence algorithms have been proposed so far to address the challenge of numerical instability for large values of orders and signal sizes. The computation of DKraP coefficients was typically computed using sequential algorithms, which are computationally extensive for large order values and polynomial sizes. To this end, this paper introduces a computationally efficient solution that utilizes the parall

Reactive oxygen species (ROS) are produced as a result of biochemical processes that are not in balance with the body's antioxidant defense mechanism. This metabolic dysfunction is referred to the oxidative stress (OS).  Metabolic dysfunction-associated diseases are affected by changes in the redox balance. It is now widely recognized that oxidative stress significantly affects diabetes mellitus (DM), particularly type 2 diabetes. The biochemical changes associated with  DM could  disturb the oxidative milieu, leading to several microvascular complications in diabetic patients. Thus, DM is a perfect disease to explore the harmful consequences of oxidative stress and how to treat it. Oxidative stress triggered by hyperglycemia is

The study of this topic is not to underestimate the previous studies but to the great importance of the Sunnis of the report. The reasoning of the Hadiths of the report is a kind of invisibility in that the significance is not a phenomenon such as the emergence of reasoning in the words of words and deeds. With the introduction of all types of Sunnah and protest, there is no difference between them, and that the Sunnis argument like other Sunnah. What we will see in the research.

High-resolution imaging of celestial bodies, especially the sun, is essential for understanding dynamic phenomena and surface details. However, the Earth's atmospheric turbulence distorts the incoming light wavefront, which poses a challenge for accurate solar imaging. Solar granulation, the formation of granules and intergranular lanes on the sun's surface, is important for studying solar activity. This paper investigates the impact of atmospheric turbulence-induced wavefront distortions on solar granule imaging and evaluates, both visually and statistically, the effectiveness of Zonal Adaptive Optics (AO) systems in correcting these distortions. Utilizing cellular automata for granulation modelling and Zonal AO correction methods,

The research is aimed at dynamics the dynamics of the artistic form within the theater and the dynamics of this movement in the development of the form and the multiplicity of meaning. This research came to address a problem of great importance in the creation of the image and the form of theatrical presentation. The evolution and transformation within the display system requires a dynamic structure that enables the form of growth and growth. The aim of the research was to identify the dynamics of form in the Iraqi theater. The researcher then identified two terms: form and motor.
In the theoretical framework, it was divided into two sections: the first (the dynamics of the artistic form) and the second (the dynamics of the act of dir

This research Sought to Determine the Relationship and  impact  between the tax knowledge in dimensions  of the tax compliance costs (monetary costs, time costs, psychic costs) Since the sample included 81 individuals represented by the Executive directors and Financial  and Accountant working in the Joint-stock company,  A questionnaire was used as a tool for data collection and its analysis.  For the purpose of analyzing the research data the statistical package for social science, SPSS. The most important tools used in the statistical analysis are:(standard deviation, and simple linear regression, percentages,  arithmetic mean, Cronbach's alpha, F-test, T- Test). The research found a weakness attenti

This research aims at investigating pupils’ ability in using discourse markers which are identified in the English textbooks of secondary schools. Four texts are chosen from third intermediate class. The four texts are short stories of different topics.                                                  

        This research hypothesizes that there are no statistical significant differences among Iraqi intermediate pupils’ ability in using textual