تعقبات ابن العراقي واستدراكاته في تحفة التحصيل على العلائي في جامع التحصيل

The research reveals significant insights cited by Ibn Al ‘Irāqī in his book "Toḥfah Al Taḥṣīl" on the illusions of Al-‘Alā'ī in his book "Jāmi Al Taḥṣīl". It highlights the scientific value of those illusions that Ibn Al-‘Irāqī pointed out. Several of them are related to narrators of hadith and their issues of hearing from their sheikhs. Many of those illusions are related to the chain narrators (isnad), the main text of the report (matn), or their position in the books of sunnah. There are no previous studies on this subject. I put the sequential insights I revel under headlines through which one can realize the illusions that Al-Ala'i fell in. I conclude with the perceptions that both Ibn Al-‘Iraqī and Al-‘Alā’ī have shared. I don’t mention my opinion after each insight for Ibn Al-‘Iraqī; however, my silence is an approval to what he said. When I went against him or it was important to mention any comment or information, I openly said my opinion and explained the reasons for my opposition. Some of the research findings are: Al-Ala'i ignores mentioning the narrator's gap (irsal), although Al-Mizzī mentions it in his book "Tahdhīb", or the scholars mention it before both of them.  He describes the narrator having a gap (irsāl) and attributes it to Al-Mizzī.  He added notes like "he didn't encounter him" and formulated expressions that weren’t mentioned by neither Al Dhahabī nor Al-Mizzī. He references a Ḥadīth to a book that it is not included in.

Mathematical Analysis of Transmission and Control of Hiv/Aids in Different Regions of Pakistan

Acquired Immunodeficiency Syndrome (AIDS) was first acknowledged in the world in 1981. Highly Immunodeficiency Virus (HIV) was recognized as a cause of AIDS in 1983. By that time, nearly 96,000 people were living with HIV in Pakistan. The epidemic is of great public health concern because HIV is infectious and causes severe morbidity and death at last. However, successful treatment of HIV/AIDS requires high levels of adherence to prescribed medications. Epidemiologically, there are two approaches to control widespread disease—prevention and treatment. Although there is no cure, treatment exists that has transformed this disease from an acutely lethal infection into a manageable chronic illness. Therefore, the vision of this thesis, to build up mathematical models that can explain the spatial division of HIV/AIDS in Pakistan and gives assurance of treatment adherence within the country. For this purpose, we will study spatial cluster and autocorrelation analysis including trend surface analysis, semivariogram and different types of kriging etc. with the help of ArcGIS 10. We are also interested to study the HIV infection rate in Pakistan using mathematical statistics techniques that will be very helpful to produce maps of risk areas. Multilevel models will be performed using WinBUGS(c) for the significant spatial effects and relative risk factors in explaining the variation of HIV/AIDS. Thus, the areas with high risk can indicate typically and it is to be helpful for health policy makers, manage quick risk assessment and resource allocation. We will also try to make a model to express some major drug with their side effects and high levels of adherence to prescribed medications by using fuzzy matrix theory which is one of the best tools to analyze raw data involving elusiveness. Lastly, examines the biological consequences and public health implication of poor adherence in order to highlight the severity of this problem. We are also interested to make a comparative study model to improve the understanding level of the people about intervention of the disease and motivate them to change their risk behavior and social norms. Awareness to disease can help people to adopt suitable preventive procedures to keep themselves away from the risk.