inas Yahya Abdullah Al-salami

Abstract : In this paper ,the introduce flexibility dynamic of synovial human knee joint in stance phase and swing phase Relationship between flexibility and squeeze film characteristic are introduced with using mathematical model and analysis of the results with appropriate boundary condition for types of lubrication .It is observed that flexibility considerable influence the plecte number and curvature during gait cycle. .It effect of flexibility is to increase the pressure and load carrying and decreased in time approach .

A modern and free technology called web real-time communication (WebRTC) was enhanced to allow browser-to-browser multimedia communication without plugins. In contract, WebRTC has not categorised

The research is discuss the chaotic function of the discrete and semi- discrete flow, which is defined as the frequency of functions, also shows the relationship of chaotic functions to the periodic points of both the expelling and the attractive, on the one hand, and some dynamic characteristics on the other hand .so we study in this paper chaotic function through the function of the tent and the function of the baker as the research included many examples and relevant evidence .

In this paper, the wear in layers of articular cartilage was calculated, parameters effective on elastic deformation were studied in normal and diseased knee joints, and relations between elastic deformation and squeeze film characteristics under lubrication condition were discussed with using a mathematical model. Conferring to the results obtained, elastic deformation effects on the performance of synovial human knee joint were analyzed from medical and dynamics perspectives. Relationships between elastic deformation and wear of layers were also discussed.

Abstract— The geometric, kinematic conditions in synovial human knee joint (journal bearings) are introduced and the basic properties of the gait cycle (stance phase- swing phase) reviewed. Evaluation of film parameters in (hydrodynamic- squeeze- elasto hydrodynamic- boundary) with using new formula introduced. Film thickness for each lubrication type was calculated based on the physical and geometric characteristics of each type that different in aging or injury, relationship properties of gait cycle with the teaching of lubrication are the discussion.

In this paper , theoretical analysis of effective particle of long chain polymer on performance improvement of human joint is presented . mathematical model depended on laminar steady flow of synovial fluid that it contains on hyaluronic acid between articular cartilage in( hip- knee –ankle) joint , where Reynolds equation governing the fluid film pressure was derived and solved analytical . Quasi-statics equilibrium equation determined friction force during daily active ,the influence of film thickness and squeeze action , length of chain and speed on the squeeze film characteristics was discussed .It has been found that the effect of decreased film thickness of particle leads to increase the load carry capacity ,friction force and decreased flow rate .It is observed that the effect of length of particle on pressure film between articular surface with sliding motion is to increased

In this paper , theoretical analysis of effective particle of long chain polymer on performance improvement of human joint is presented . mathematical model depended on laminar steady flow of synovial fluid that it contains on hyaluronic acid between articular cartilage in( hip- knee –ankle) joint , where Reynolds equation governing the fluid film pressure was derived and solved analytical . Quasi-statics equilibrium equation determined friction force during daily active ,the influence of film thickness and squeeze action , length of chain and speed on the squeeze film characteristics was discussed .It has been found that the effect of decreased film thickness of particle leads to increase the load carry capacity ,friction force and decreased flow rate .It is observed that the effect of length of particle on pressure film between articular surface with sliding motion is to increased

Encryption is one of many methods that have been used to secure storage and transmit images over unsecured and open networks. The asymmetric cryptography need more time for encryption and decryption. In this paper we suggested new method for image encryption that has the potential to overcome many of encryption problems. The proposed algorithm based on the concept of scrambling the positions of pixels, and changing the pixels intensity.The algorithm based on two major steps. The first one is scrambling image with uniform distribution for image data based on 2D Cat map which improved for more secure by increasing the cycles of processing. While the second step is modifying a method of Shadow process algorithm. This modification makes the Shadow process suitable to work efficiently with images. The modified method uses image as a public key for encryption, and from the public key we derive the decryption key. The performance of proposed algorithm measures and gives very promised results.

In this paper we discussed properties extensive set through studied semi group replete in topological transformation group , and it will given necessary condition for extensive set to be syndetic set ,so image and inverse image of extensive set also extensive set and introduce new define strongly periodic using concept of the extensive set as well as we introduce that many of new relations and theorem.

Roughness ,lubrication and friction of normal and diseased knee joint has been introduced . Various surface roughness of articular cartilage have been determined during the gait cycle ( stance phase- swing phase) using squeeze film characteristics in knee joint, this paper aims to study the effects friction and roughness on stride length for male and female during daily activities. The mathematical model depended on the basis of the Stokes micro continuum theory ,as well as we used lubricant (Newtonian - non Newtonian) in case non Newtonian (micro-macro) roughness effect has been studied and we compared effect film thickness of squeeze film lubrication in cycle time and roughness on pressure film , load carry capacity , in the elderly and young people for each sexes .

In human knee joint synovial fluid film , covers the surface porosity of cartilage within the joint space .Knee joint acts as journal bearing in mechanical system .In this study determine the characteristic film action with different mechanical lubrication during daily active on the basis modeling thickness of cartilage in the human knee joint to obtain detailed analysis for pressure film that it changed through flow synovial fluid film ,load carrying capacity ,friction force , coefficient of friction and time approach that synovial fluid reduces in it . A theoretical analysis of film thickness in articular cartilage for long partial journal bearing lubrication by synovial fluid with couple stress ,assumed to be non-Newtonian is presented during joint activities and the influences .The model of knee joint has been taken geometrically as surface elastic porous journal bearing under different lubrication during stance phase and swing phase. Typical physical values of the knee joint has been taken from measure values in literature .The problem of layer thickness articular cartilage in knee joint has been solved numerically for various couple stress fluid and film thickness parameters with each other with effect of varying pore size surface on articular cartilage. Increasing values of the couple stress and film thickness parameters increases the pressure film ,load carrying capacity and outfits a longer time to ban cylinder Plan surface contact and reduction coefficient of friction .

In this paper we discussed relation proximal points with many of dynamical properties through studied topological transformation group , and it will given necessary condition for proximal relation to be minimal set ,and introduce new define replete set and semi-replete set by using concept of the replete set and semi-replete set as well as we introduce that many of new relations and theorem.

In this paper a study of the squeeze film characteristics in the synovial human hip joint is presented , on the basis of the stokes continuum fluid theory

On the basis of the Stoke micro continuum theory ,this paper aims to study the effects of surface roughness and couple stress on the squeeze film characteristic in hip joint

On the basis of the stokes micro continuum fluid theory , a theoretical analysis of effect of permeability and couple stress on squeeze film characteristics in human synovial hip join is presented

The aim of this article is to present an the theoretical analysis of the problem is presented through a mathematical model depended on the idea of a Hyaluronic acid (HA) in cartilage and synovial fluid surrounding the joints (hip, knee and ankle) where are a major component of synovial fluid modified Reynolds equation governing the fluid film pressure was derived and solved analytically, and closed form expressions for the squeeze film pressure and load carry capacity were presented. The influence of film thickness and sliding motion on the squeeze film Characteristics were discussed .It has been found that the effect of decreased film thickness tend to increased the load carry capacity , friction force and decreased flow rate, The effect of decreased sliding motion tend to increasing frication force and decreased flow rate and when additives Hyaluronic acid (HA) to bearing material (articular cartilage ) .The results indicate to increasing pressure distribution (P) and improve both load carry capacity (W), friction force (F) Compared to the disease synovial hip joint.

In this paper , we introduce the concept of proximal points in topological transformation group and it will be given a necessary and sufficient condition for proximal points to be replete proximal points and almost periodic points also we show relation proximal points by syndetic set

In this paper , we define distal in a topological transformation group and it will given necessary condition for a function to be a distal and we obtain strongly distal by using the concept of the automorphism as well as some of it property is studied

يهدف هذا البحث الى دراسة النفطة الدورية الأعتايادية في زمرة التحويل التبولوجي وتأثيرها على بعض الصفات الديناميكية

study minimal point in topological transformation group depended on minimal set an find many of results and new theory

يهتم البحث لدراسة الفوضى كسلوك عشوائي يمكن التنبا به من خلال دراسة الدالة الفوضوية التي تعتمد على تحقيق شرطي اسية لالبنوف والحساسية المعتمدة لشروط ابتدائية

تم في هذا البحث دراسة المجموعة الرابطة وبينا علاقة الرابطة والزمرة الجزئية الرابطة بالمفعمة بشدة من جهة وعلاقة التحويل الأيسر والثنائي لمجموعة رابطة من جهة اخرى

Abstract—In this research will study the syndetic set in topological transformation group, that represents one of the important sets in topological dynamics that Gottschak referred to in a book topological dynamics. Relationship between syndetic set and translation (left-right- bilateral) provided, In right topological transformation group have presented semi replete set and extensive set and referred to the relationship of semi replete set and extensive set on the one hand, and their relationship with syndetic set on the other hand. Introduced a new idea syndetic proximal point that depended on syndetic set and indicated to a relationship syndetic proximal point with proximal point and extensive proximal point, and concluded a number of relationships and theories.Keywords— syndetic set, topological transformation group, proximal point

The elastic deformation of the human synovial joint in the standing and swing phases is presented in this paper, as well as the relationship between elastic muscle fibers and layer porosity using a mathematical model and analyzing the results with the appropriate boundary condition for the types of lubrication. During the gait cycle, elastic muscle fibers have a large impact on the magnetic field and the film (thinning of the thickness) of layers. The impact of elastic muscle fibers is to increase the hydrodynamic pressure and carry the load. We employed the double ZZ transformation as a strong tool to acquire a solution to the hydrodynamic pressure and bearing loads directly without finding the general solution of a differential equation.

This paper highlights on flow non-Newtonian fluids through porous elastic layers for human articular cartilage, describes the effect of lubricating fluid flow on the performance of daily activities and various activities with high accuracy through the design of a mathematical model It includes the equations of motion and the equation of continuity. squeeze lubrication influencing factor on phases (stance phase-swing phase) in gait cycle. Theoretical and applied description of the lubrication mechanism is evident when the hydrodynamic pressure is generated between the different layers who plays an important role in Kinematic Friction Force for (layers –particles) .

Shedding light on the study of periodic motion through the properties of topological dynamics

Language is defined as a form of communication based on the use of words and other symbols to represent things, events, and people. It is the means used to organize ideas and express needs. Language learning begins with listening, and the child learns the language through imitation, through pretend play, and playing specific roles. Language is based on... Consolidation, transmission, preservation and storage. There are two types of language: verbal language and non-verbal language, which is the means of social and mental communication. Language is a manifestation of mental, sensory and motor development, and increasing language skills helps in developing cognitive skills.

Sustainable development is a term that takes into account the economic and social dimensions in the world. This means that development is an economic and social term that works to exploit the available resources in a way that meets all the needs of individuals while preserving the right of future generations. This dimension was drawn by the United Nations in the form of a map of environmental, social and economic development. The aim is to improve the living conditions of all members of this society, as well as to develop productive means, methods and management in a way that ensures that the earth's natural resources are not depleted by all resources and As if they are vectors and the goal we understand from that is that sustainable development is to reduce inequalities to build prosperous gatherings in which peace and justice are achieved, and this means that it is a call to create an ideal world that does not neglect anyone and to achieve sustainable development requires the eradication of poverty and the elimination of hunger and misery to obtain a new level of education as well as provide Clean energy, gender equality, and decent work for all members of society.