A vector in a separable infinite dimensional Hilbert space is called disk-cyclic for bounded operator if the orbit α : 0, α∈;|∝| 1is dense in. The useful tool used to discover codisk-cyclic operation is called the disk-cyclic Criterion. In this paper we will show that some equivalent conditions of the

The winds of change witnessed by the Ottoman Empire after the constitutional coup in 1908 carried the breezes of freedom, writers and journalists were finally able to express themselves, this change was reflected on intellectual and cultural life and on freedom of publication and expression , perhaps the first thing that was affected by this change was the press, it entered a new phase in which it got rid of those restrictions and limitations imposed by the Ottoman Sultanate concerning the right to issue newspapers and freedom of publication. Iraq was the first to witness a new phase of press relief, before the constitutional coup, it was possible to count on the fingers of the hand how many newspapers were issued, that number doubled to

The aim of this study is to make the inventory for Umbelliferae family for the purpose of identifying the samples that were collected over long periods and saved in the herbarium of Iraq Natural History Museum/ University of Baghdad. We found that the herbarium plants were very large and varied from different parts for Iraq, in different and varied environments, which collected and arranged according to a very specific system in the herbarium for remaining an important source to all graduate students and researchers to take advantage for these plants. Also, the flowering and fruiting periods for these plants in Iraq were recorded in different regions. Most these plants begin to flower in the spring and thrive at fields and farms.

This study investigates the challenges encountered by first-grade intermediate students in learning the Arabic language. It aims to identify specific obstacles that hinder language acquisition and proficiency among this demographic. Through qualitative and quantitative methods, including surveys and interviews with students, teachers, and parents, the research highlights key issues such as limited vocabulary, difficulties in grammar, lack of engagement with the material, and inadequate teaching resources. The findings reveal a complex interplay between cognitive, social, and educational factors that contribute to these challenges. The study underscores the need for targeted interventions, such as enhanced pedagogical strategies and improved

Some experiments need to know the extent of their usefulness to continue providing them or not. This is done through the fuzzy regression discontinuous model, where the Epanechnikov Kernel and Triangular Kernel were used to estimate the model by generating data from the Monte Carlo experiment and comparing the results obtained. It was found that the. Epanechnikov Kernel has a least mean squared error.

The research in the variables of the political process and government stability tried to show the impact of the political process on political stability first, and then on government stability second, given that the political process that was established in 2005 was aimed at achieving legitimacy, and its most prominent tools are elections, leading to achieving political stability, including government stability. The issue of governmental stability is one of the important issues in Iraq, but it has not been achieved, as a result of several factors, including problems in political action, as the political process has not succeeded in leading Iraq to stability.

Purpose: Despite the high clinical accuracy of dynamic navigation, inherent sources of error exist. The purpose of this study was to improve the accuracy of dynamic navigated surgical procedures in the edentulous maxilla by identifying the optimal configuration of intra-oral points that results in the lowest possible registration error for direct clinical implementation. Materials and methods: Six different 4-area configurations were tested by 3 operators against positive and negative controls (8-areas and 3-areas, respectively) using a skull model. The two dynamic navigation systems (X-Guide® and NaviDent®) and the two registration methods (bone surface tracing and fiducial markers) produced four registration groups. The accuracy of the

This research deals with the foreign policy and the Russian trends towards Iraqafter the year 2000 AD, the international variables that affect that bilateralrelationship and the importance of the position and weight of Iraq in the MiddleEast and the attempt to include Iraq in the international organizations and blocsled by China and the Russian Federation such as the Shanghai CooperationOrganization, and joining the Chinese Belt and Road project to serve interests TheIraqi economy, and an attempt to extend its influence through security alliances inthe region in general, and Iraq in particular, as the quadrilateral center of the waron terrorism in which Russia, Iran, Iraq and Syria participated, which strengthensbilateral relations between