For a connected topological space M we define the homeomorphism and period noncoincidence indices of M, each of them is topological invariant reflecting the abundance of fixed point free self homeomorphisms and periodic point free self maps defined on M respectively. We give some results for computing each of these indices and we give some examples and some results relating these indices with Hoffman index.

By using the deacetylation method, chitin is converted into bioproduct chitosan. Deacetylation can be accomplished using chemical or biological mechanisms. Due to its biocompatibility, nontoxicity, biodegradability, natural origin, and resemblance to human macromolecules, it is useful in medicine. Chitosan may have antibacterial and antioxidant properties. Additionally, it could be used in biotechnology, agriculture, gene therapy, food technology, medication delivery, cancer therapy, and other fields. The objective of the current review was to list the most significant applications of Chitosan in the biomedical field.

The tribunal is a new term in Iraqi law, where several projects including the law of the protection of Iraqi doctors No.26 of 2013 and before adopted the decision of the Board of Directors of the Revolution Decree No.2 and 7/4/1997, but the law maker did not show the most talented claims but also described them to the organization of the ratios and blood. As the regulations were organized by the civil and criminal court of 1918 during the British accupation of Iraqi, where the council of the senate and the specialists (DS) and the disputes of the disputes between the members of the clans and so the law shall be repeatedly working for the customary title and a law and is a law of the law and others crisis.

The research explores through its three parts, to search for the unconscious and the collective unconscious in order to identify the per-formative stimuli and motives and their motivation to produce a performance that is consistent with the metaphysics of the myth or the epic and its different characters from other human characters. The paper also explores in its second section a sort of sacred performance energy. Together, along with motivating the mind and engaging the subconscious, comes a metaphysical text and with its characters and epic events.

     Preparation of nanoparticles is one of the important ways to increase the biological effectiveness of materials. There are several methods to prepare the polyhydroxybutyrate (PHB) nanoparticles. Here, a new method is used based on exposing PHB to ultrasound waves under variable pH conditions. In the present study, PHB was added to distilled water and pH was adjusted to 4 by HCl (1 N). The suspension was exposed to ultrasound waves at 4500 kh for 25 seconds. Then, pH was readjusted to 10 by NaoH (1N) and the mixture was incubated for 2 h at 21 ^oC.  Finally, the pH was adjusted to 7 by HCl (1 N) and the  mixture was incubated at 21 ^oC for 18 h. The characterization of the prepared na

Islamic jurisprudence is a divine approach capable of confronting all developments that occur in human society and giving appropriate solutions to them. The research discussed opinions related to some contemporary issues according to the rule of no excess or negligence and according to the rules of removing hardship and facilitating in order to reach the appropriate legal ruling for the nature of the situation to which it may be exposed. Man is in paradise, and the research emphasizes the necessity of taking into account the aspect of precaution when deciding on issues, such as the rules of change and the removal of embarrassment

The principle running a distinguished position among the general principles of law in international law ,and because it is  one of the  well- established  principle in the national legal systems in the world ,and this justifies the voluntary approach of the principle as an expression of the will of stste, so the principle was under study by the international law commission in the subject of fragmentation as one of the legal methods linking the rules systems of traditional interntional law to maintain its coherence. Thst the  works of the principle by international judiciary between the various international legal standards are in accordance with the concept of jurisprudence with certain conditions and in view of its d