In this paper, Nordhaus-Gaddum type relations on open support independence number of some derived graphs of path related graphs under addition and multiplication are studied.

International trade in services is becoming increasingly important as it is an economic activity that deals with invisible trade, which has become increasingly important in the balance of international trade. The establishment of the WTO is a starting point in international trade relations. It is responsible for all aspects of international trade, , And in view of the continued increase in international trade in services, the need for more internationally recognized rules has become more urgent, especially as it has been increasingly proven that the traditional framework of public services is inadequate to operate some of the most dynamic and innovative sectors of the economy. (GATS) to be the regulatory framework for this sector

The contractual imbalance is perceived today by the majority of the doctrine as being one of the pitfalls to the execution of the contracts. As a result, most legislations grant judges the power to intervene to restore it. Granting the judge the power to complete the contract raises the question of the extent to which the judge can obtain such power. Is it an absolute authority that is not limited? If so, is it a broad discretion in which the judge operates in his conscience, or is it a power of limited scope by specific legal texts and conventions? This is what we will try to answer in this research.

Television plays an important role in health education development of the consumer, where the health programs offered by satellite channels offering a variety of subjects that deal with human health in general, as do people with some misconceptions health practices either due to lack of awareness or a low level of culture they have is one of the problems that require a search, so the research aims to clarify what the TV play in health education to the consumer through a content analysis of health issues covered by the television health programs and identify health issues positive and negative in everyday human life, it has been identified green apple program Broadcast of the channel mbc1 as a model for health programs offered by the Arab

Samples of Hg0.15Ag0.85Ba2Ca2Cu3-xAgx O6+δ with x =0.0, 0.05, 0.1 and 0.15 were prepared using the standard solid-state reaction technique. The study used X-ray diffraction XRD analysis and a scanning electron microscope to examine how the partial substitution of silver in superconductors, along with 90 seconds of laser irradiation, affected their structures. The XRD analysis exposed a tetragonal structure for all samples, increasing the lattice constant a by the increasing of x compared to the sample with no silver substance. Also, it was found that changing the concentrations of silver in the samples leads to a change in density ρm and HTP (high-temperature phase). After exposure to laser radiation, there were variances in latti

Ab – initio restricted Hartree - Fock method within the framework of large unit cell (LUC) formalism is used to investigate the electronic structure of Si and Ge nanocrystals. The surface and core properties are investigated. A large unit cell of 8 atoms is used in the present analysis. Cohesive energy, energy gap, conduction and valence band widths are obtained from the electronic structure calculations. The results are compared with available experimental data and theoretical results of other investigators. The calculated lattice constant is found to be slightly larger than the corresponding experimental value because we use only 8 atoms and we compared the results with that of the bulk crystals, nanoclusters are expected to have str

The research aims to identify the possibility of applying environmental fines to commercial shops and restaurants to reduce the environmental pollution represented by the wastes generated from them. The research sample was divided into two groups, including the first (20) commercial shops (meat shops and slaughter it, fruits & vegetables, legumes and accessories) and second (30) Restaurant in the city of Baghdad on both sides of Karkh and Rusafa. The quality of the waste was classified into carton, plastic, aluminum, glass, paper, cork and food waste. The study revealed the possibility of applying environmental fines to restaurants and shops to reduce the waste generated from them throughout the year and to apply continuous monitorin