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.

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

Background : Bone infections is one of the most challenging orthopaedic complications, with considerable morbidity. There is significant impact on the life of the patients; socially, financially, physically, and mentally and it could be a limb-threatening complication. Osteomyelitis is a bone infection usually caused by bacteria, including mycobacteria, but mainly Staphylococcus aureus which is the most commonly responsible bacteria . Aim of study: To evaluate our management policy of chronic osteomylitis (C.O.M).
Methods : 32 patients presented with different types &forms of chronic osteomyelitis in many sites of long & flat bones such as tibia , femur, ,humerus ,iliac bones and knee joint , which are not response to previous

Background: Chondrosarcoma is the second most frequent primary malignant tumor of bone. It is considered relatively an uncommon tumor. Generally it is not common for chondrosarcoma to attend huge size; however, one type was described as mesenchymal chondrosarcoma of low grade cartilaginous cells, with female predominance which can grow to exceptionally large size. Case Presentation: We report a case of Chondrosarcoma, in 30 years old woman of 4 years duration, with a huge mass (weighted 16 Kg) and roughly measured 40x30 x20cm, around the right shoulderInvestigations: Repeated MRI of the shoulder and trunk revealed a clear plane of cleavage between the tumor mass and the chest and abdominal walls and absence of invasion of the abdomen. Ul

     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

in the present investigation new eight poly esrers as schiff bases wich containing pendant imine group were synthesized by treatment of poly acryloyl chlodire with ethanol amine group were synthesized by treatment of poly acryloyl chloride with ethanol

The science of interpretation is considered one of the most important sciences due to its primacy and high status. Because knowledge is honored with the honor of its owner and related to it, and the science of interpretation is related to the Book of God, and from this importance emerges the importance of writing on a subject (from the terms of social organization in the Holy Qur’an); Because it deals with a matter that is considered a necessity in a place, and I called the research (from the terms of social organization in the Holy Qur’an - an analytical study), and the reason for choosing this topic was to clarify those terms and link them to our contemporary reality in order for them to be beacons of guidance and guidance for thos

stract         This paper includes studying (dynamic of double chaos) in two steps: First Step:- Applying ordinary differential equation have behaved chaotically such as (Duffing's equation) on (double pendulum) equation system to get new system of ordinary differential equations depend on it next step. Second Step:- We demonstrate existence of a dynamics of double chaos in Duffing's equation by relying on graphical result of Poincare's map from numerical simulation.