This paper contains an equivalent statements of a pre-  space, where  are considered subsets of with the product topology. An equivalence relation between the preclosed set  and a pre-  space, and a relation between a pre-  space and the preclosed set  with some conditions on a function  are found. In addition, we have proved that the graph  of  is preclosed in if  is a pre-  space, where the equivalence relation  on  is open.

     On the other hand, we introduce the definition of a pre-stable ( pre-stable) set by depending on the concept of a pre-neighborhood, where we get that every stable set is pre-stable. Moreover, we obtain that

Time series analysis is the statistical approach used to analyze a series of data. Time series is the most popular statistical method for forecasting, which is widely used in several statistical and economic applications. The wavelet transform is a powerful mathematical technique that converts an analyzed signal into a time-frequency representation. The wavelet transform method provides signal information in both the time domain and frequency domain. The aims of this study are to propose a wavelet function by derivation of a quotient from two different Fibonacci coefficient polynomials, as well as a comparison between ARIMA and wavelet-ARIMA. The time series data for daily wind speed is used for this study. From the obtained results, the

When scheduling rules become incapable to tackle the presence of a variety of unexpected disruptions frequently occurred in manufacturing systems,  it is necessary to develop a reactive schedule which can absorb the effects of such disruptions. Such responding requires efficient strategies, policies, and methods to controlling production & maintaining high shop performance. This can be achieved through rescheduling task which defined as an essential operating function to efficiently tackle and response to uncertainties and unexpected events. The framework proposed in this study consists of rescheduling approaches, strategies, policies, and techniques, which represents a guideline for most manufacturing companies operatin

At the beginning of the twentieth century distorting handling totalitarian phenomena of art, which can be called the stage of the test, transition from the theory of ideal theory and other realistic is not cushy, since it requires vision and reading and other concepts, and in light of this dialectic manifested research problem by asking the following Is affected by the design idealism and realism. Through the above mentioned questions, the researcher found rationale for addressing this problem, the study through his research, which is marked (idealism and realism in a comparative study design). And demonstrated the importance of research in the identification of the concept and the effectiveness of the two theories idealism and realism a

Objectives: Obesity rates have increased globally with increase in the incidence of comorbidities especially type 2 diabetes mellitus. A cross-sectional study was conducted on healthy obese adults to estimate: (i) comparisons of anthropometric indicators, lipid profile, and glycemic profile in obese compared with non-obese, and (ii) the association of anthropometrics and lipid profile with glycemic profile in obese adults. Methods: The study includes 120 individual with aged ranged (25 – 55) years were enrolled in this study. They were divided into two groups: group one (G1) consist of 90 patients with a body mass index (BMI) of more than 25 kg/m². Group two (G2) of 30 healthy adults as a co

Background: we know that TNF-a which is consider an important inflammatory cytokine mediate the inflammatory reactions which occur in the tissues against the infections agents and other causes of inflammation therefore, here we try to study the role of TNF-a in chronic Rheumatic heart disease and the relationship of TNF-a with extent of histopathological.

Hardly a day passes without hearing the news of a person’s suicide here or there, as if life no longer has value for a person, and this fact is what prompted the World Health Organization to sound the alarm, after it found that suicide had become widespread in the world and published its report Under the title (Suicide Prevention - A Global Necessity), and announced the need to take care of mental Health as part of public health, because what psychological human crises are exposed to may lead to suicide.

      A quick look at the position of the various legislations on suicide, we find there is a great difference, some legislations recognize the human right to death, while other legislation punishes the

Background

Medical child abuse describes a child receiving unnecessary, harmful, or potentially harmful medical care at the caretaker's instigation.

Objectives

To focus on medical child abuse as an entity and emphasize its epidemiology, clinical presentations, prevention, and management.

Results

In the UK, the annual incidence of medical child abuse in children below one year increased to 3:100,000, while its prevalence in Arabs, including Iraq, is ambiguous due to lack of evidence and improper clinician's awareness. The mean age at diagnosis is 14 months to 2.7 years. Female caregivers are the most common offenders. Clinically, medical child abuse

      This piece of research deals with assimilation as one of the phonological processes in the language. It is a trial to give more attention to this important process in English language with deep explanation to its counterpart in Arabic. in addition, this study sheds light on the points of similarities and differences concerning this process in the two languages. Assimilation in English means two sounds are involved, and one becomes more like the other.

     The assimilating phoneme picks up one or more of the features of another nearby phoneme. The English phoneme /n/ has t