In this paper we used Hosoya polynomial ofgroupgraphs Z_1,...,Z₂₆ after representing each group as  graph and using Dihedral group to"encrypt the plain texts with the immersion property which provided Hosoya polynomial to immerse the cipher text in another"cipher text to become very"difficult to solve.

Abstract

   The extremes effects in parameters readings which are BOD (Biological Oxygen Demands) and DO(Dissolved Oxygen) can caused error estimating of the model’s parameters which used to determine the ratio of de oxygenation and re oxygenation of the dissolved oxygen(DO),then that will caused launch big amounts of the sewage pollution  water to the rivers and it’s turn is effect in negative form on the ecosystem life and the different types of the water wealth.

   As result of what mention before this research came to employees Streeter-Phleps model parameters estimation which are (K_d,K_r) the de oxygenation and re oxygenation ratios on respect

Background: Astrocytoma, is heterogeneous tumor of the nervous system and studies on the virulence of these tumors reveal that their behavior is led by small population of cells which are the brain tumor stem cells (BTSCs) that drive the continuous proliferation and self-renewal. From the many markers that annotate BTSCs, are the CD133, and NESTIN.

Objectives: Using CD133, to immunolabel BTSCs niches in paraffin sections of astrocytoma then, extraction of these cells, to calculate fold expression of NESTIN gene across the grades by real time PCR.

Materials and methods: Paraffin blocks of four grades of primary astrocytoma have been selected from three age groups from Iraq

System is one of the concepts that fused stages of human thought his contemplations , and the evolution of his ideas and know the universe and existence , was formed several systems and numerous multi- humanitarian field , for example : the political system , the economic system , the system of philosophical , scientific system ... etc. .The current research around trying to find the identity of the system aesthetic in general and theater in particular , the detection of compositions and how Cklath within shifts functional and conceptual , which confirms the importance of Altgria creative as characterized by the following heading towards experimentation and update ongoing , and in particular what we find in the discourse of postmodernism

In the present paper, we have introduced some new definitions On D- compact topological group and D-L. compact topological group for the compactification in topological spaces and groups, we obtain some results related to D- compact topological group and D-L. compact topological group.

In the present paper, we have introduced some new definitions On D- compact topological group and D-L. compact topological group for the compactification in topological spaces and groups, we obtain some results related to D- compact topological group and D-L. compact topological group.

Artistic formation is an interconnected system of a group of elements and units interconnected with each other in an interwoven fabric, which in turn will be forms with ideas and contents that the artist is keen to convey to the recipient, the formative building includes various types of visual arts, and architecture is in turn a visual art, built from a group Elements and units that show their aesthetic value during the intersection of their building lines and the systems and models of building their external walls, which may be built with a system of incomes and projections or protrusions and pits in their walls, which creates different areas of shade and light during the fall of the sun's rays on them, so their aesthetic value increas