The main goal of this paper is to introduce and studya new concept named Ᵹ*-supplemented which can be considered as a generalization of W-supplemented modules and Ᵹ-hollow module. Also, we introduce a Ᵹ*-supplement submodule.Many relationshipsof Ᵹ*-supplemented modules are studied. Especially, we give characterizations of Ᵹ*-supplemented modules and relationship between this kind of modules and other kind modules for example every Ᵹ-hollow (Ᵹ-local) module is Ᵹ*-supplemented and by an example we show that the converse is not true.

Longitudinal data is becoming increasingly common, especially in the medical and economic fields, and various methods have been analyzed and developed to analyze this type of data.

In this research, the focus was on compiling and analyzing this data, as cluster analysis plays an important role in identifying and grouping co-expressed subfiles over time and employing them on the nonparametric smoothing cubic B-spline model, which is characterized by providing continuous first and second derivatives, resulting in a smoother curve with fewer abrupt changes in slope. It is also more flexible and can pick up on more complex patterns and fluctuations in the data.

The longitudinal balanced data profile was compiled into subgroup

A new design of manifold flow injection (FI) coupling with a merging zone technique was studied for sulfamethoxazole determination spectrophotometrically. The semiautomated FI method has many advantages such as being fast, simple, highly accurate, economical with high throughput . The suggested method based on the production of the orange- colored compound of SMZ with (NQS)1,2-Naphthoquinone-4-Sulphonic acid Sodium salt in alkaline media NaOH at λ_max 496nm.The linearity range of sulfamethoxazole was  3-100  μg. mL^-1, with (LOD) was 0.593 μg. mL^-1 and the RSD% is about 1.25 and the recovery is 100.73%. All various physical and chemical parameters that have an effect on the stability and development of

Because the Coronavirus epidemic spread in Iraq, the COVID-19 epidemic of people quarantined due to infection is our application in this work. The numerical simulation methods used in this research are more suitable than other analytical and numerical methods because they solve random systems. Since the Covid-19 epidemic system has random variables coefficients, these methods are used. Suitable numerical simulation methods have been applied to solve the COVID-19 epidemic model in Iraq. The analytical results of the Variation iteration method (VIM) are executed to compare the results. One numerical method which is the Finite difference method (FD) has been used to solve the Coronavirus model and for comparison purposes. The numerical simulat

Various visual media are becoming an increasingly important and active instrument of communication. This fact has led some political parties and leading personalities in Iraq to make use of them as an accepted forum for the discussion of public affairs usually in a manner that conforms to their declared policy. They have to draw as much popular support as they could for the causes which they fight for. As a result, a state of great confusion has been created from the contradictory statements made by the contending parties and gave left grave consequences on all types of the audience receiving them. The problem of the study can be summarized in one major question: What is the opinions of the audience as regards the statements made by the

Objectives: The study aims to identify the quality of life level in schizophrenic patients and to find out the
relationships between the quality of life and some of personal characteristics for those patients with
schizophrenia.
Methodology: A descriptive correlation analytic design was used by using the assessment technique on sample
of 100 schizophrenic outpatients, who were selected purposively (non-probability sample) during the period
10/ 3/2013 - 1/ 12 /2013. The study was conducted on the schizophrenic patients in an out patient psychiatric
clinics at Ibn-Rushd; and Al-Rashad Psychiatric Teaching Hospital; Baghdad Teaching Hospital, and Al-Kadhimya
Teaching Hospital. Self administrative questionnaire was used

Tonsillitis is an infection or inflammation of the tonsils. Tonsillitis classified as acute, chronic (recurrent) and complication. Most often it is caused by a virus, but it may also be caused by the same bacteria that cause strep throat. According to numbers that data shows, the virus is more common, about 77.49% than bacterial which about 71.45% then fungal about 9.6%. The principal symptom of tonsillitis is a sore throat fever, swollen lymph nodes, nasal congestion, difficulty in swallowing and headache may also occur, according to if  symptoms of tonsillitis are known or not, data show that they know about (119 of people) (79.3) this result is greater than unknown which was about 31 (20.7).

This paper deals with constructing mixed probability distribution from mixing exponential

In our current era, women need to practice sports activities in order to compensate for the lack of movement. The development of life and the introduction of technology in all fields contributed to reducing body movements to the maximum. Many movements were also shortened, and some parts of the body became almost static. All machines became available in homes. Necessary to help women clean and cook. The presence of transportation also restricted women, so the walking sport that women used to practice when they went shopping in nearby places or to visit friends disappeared. As a result, many health problems emerged, prompting some developed countries to allocate financial aid with the help of insurance companies to these patients.The researc