Throughout this paper we study the properties of the composition operator
C
p1 o
p2 o…o
pn induced by the composition of finite numbers of special
automorphisms of U,
pi (z) i
i
p z
1 p z
Such that pi U, i 1, 2, …, n, and discuss the relation between the product of
finite numbers of automorphic composition operators on Hardy space H2 and some
classes of operators.
The present research was performed to study the qualitative and quantitative composition of epiphytic algae on the aquatic host plant Ceratophyllum demersum L. Four sites in Tigris River, at Wassit Governorate were covered, during the seasons of Autumn 2017, winter 2018, Spring 2018, and Summer 2018. The study also included measuring the physiochemical parameters (temperature of air and water, pH , water level, EC, salinity, TDS, TSS, dissolved oxygen, BOD5, alkalinity, total hardness, calcium, magnesium, total nitrogen, total phosphourus). The total number of species of epiphytic algae was145 species, 98 species belonging to Bacillariophyceae, followed by 27species of class Cyanophyceae, 19 species of class Chloroph
... Show MoreThe research aimed to measure the reality of monetary policy and its role in neutralizing the impact of fluctuations in total domestic oil prices, through the most important monetary policy variable (money supply). An example of this is using a simple technique in the previous example, turning it into a straightforward user interface by (Judd and Kunee). After estimating the impact of the policy with the domestic gross domestic oil prices in Iraq, the effect of fluctuations in the domestic gross domestic oil prices in the simple regression model, while the morale of oil prices was not proven with a negative sign, while the morale of money supply and their impact on the increase of the domestic was proven in the multiple regressio
... Show MoreChaotic features of nuclear energy spectrum in 68Ge nucleus are investigated by nuclear shell model. The energies are calculated through doing shell model calculations employing the OXBASH computer code with effective interaction of F5PVH. The 68Ge nucleus is supposed to have an inert core of 56Ni with 12 nucleons (4 protons and 8 neutrons) move in the f5p-model space ( and ). The nuclear level density of considered classes of states is seen to have a Gaussian form, which is in accord with the prediction of other theoretical studies. The statistical fluctuations of the energy spectrum (the level spacing P(s) and the Dyson-Mehta (or statistics) are well described by the Gaussian orthogonal ens
... Show MoreIndia is today the largest democratic state in the Third World and has been able to maintain its national unity in the near future. The history of Indian civilization is more than 5,000 years old. It has achieved its heritage, culture, philosophy, traditions, national unity and unity and has taken its place among nations seeking progress and progress. Which are still visible to the present day, because of their history of civilization and achievements, and the fusion of cultures of invading peoples over the centuries with the culture of diverse Indian society, but despite being a secular state, Has put into place through its governments various forms of exclusion and marginalization towards the people of India, especially Muslims, and th
... Show MoreThe research dealt with the study (interpretation of space in the art of installation), and it is located in four frameworks, the first is devoted to clarifying the research problem, its importance and the need for it, its goal, and its limits, and determining the most important terms contained therein.The research problem was determined from the question, does space embody those different and diverse materials that were formulated and installed by the artist into modern forms? Is the product of synthetic arts an appropriation of these spaces and domination of them?The problematic of interpreting space in its conceptual dimension in (synthetic) art in its multiplicity, diversity and difference, or objecting to the work of artistic system
... Show MoreThis research aims to clarify the principles governing the exploration and utilization of outer space, emphasizing the role of international law, particularly international criminal law, in addressing crimes committed beyond Earth whether aboard spacecraft, the International Space Station, or in outer space generally. It examines relevant international treaties governing outer space activities, evaluates their strengths and ambiguities, and highlights deficiencies in their provisions. Furthermore, the study analyzes traditional principles of state criminal jurisdiction territoriality, nationality, universality, and protection and assesses their applicability to offenses committed in outer space.
One of the unique properties of laser heating applications is its powerful ability for precise pouring of energy on the needed regions in heat treatment applications. The rapid rise in temperature at the irradiated region produces a high temperature gradient, which contributes in phase metallurgical changes, inside the volume of the irradiated material. This article presents a comprehensive numerical work for a model based on experimentally laser heated AISI 1110 steel samples. The numerical investigation is based on the finite element method (FEM) taking in consideration the temperature dependent material properties to predict the temperature distribution within the irradiated material volume. The finite element analysis (FEA) was carried
... Show MoreThis study sheds light on the structure of the phoneme composition of the verses describing the servants of the Most Merciful in Surat Al-Furqan, and on how its silences, voices, and syllables are distributed, questioning and talking to them about their condition, their aesthetics, and the accuracy of Quranic employment for them, stemming from the presence of a strong, inseparable bond, and a close relationship between the voice and meaning As (i.e. the voice) is the nerve of speech, forming the basic building blocks of speech through synergy of syllables and syllables with each other, creating an audio context with a rhythm that is parallel, expressive, and in harmony with the content, as the vocal context and the fabric based on it are
... Show More