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Fixed Point Theorems in Vector Lattices

Thesis Info

Author

Faryad Ali

Department

Deptt. of Mathematics, QAU.

Program

Mphil

Institute

Quaid-i-Azam University

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

1989

Thesis Completion Status

Completed

Page

43

Subject

Mathematics

Language

English

Other

Call No: DISS/M.Phil MAT/151

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676715961995

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طاقت کا سرچشمہ

طاقت کا سرچشمہ

طاقت کا سر چشمہ عوام ہوتے ہیں ۔جس دن انہیں اپنی طاقت کا احساس ہو گیا تو ایسا انقلاب برپا ہو گا ۔اس دن وڈیرے جاگیردار سرمایہ دار پیسے کے بل بوتے پر سیاست کر نے والے اسٹیبلشمنٹ اور اس کے گماشتے نا م نہاد عوام کی لاتوں سے ایسے اچھالے جائیں گے ۔

جب تخت گرائے جائیں گے جب تاج اچھالے جائیں گے

اب ٹوٹ گریں گی زنجیریں اور زندانوں کی خیر نہیں

                                                                                                                                فیض احمد فیض ؔ

 

توبہ و استغفار: قرآن کریم کی تعلیمات کی روشنی میں ذہنی سکون کا منبع

It is evident from the teaching of Quran & Sunna, Allah SWT accepts the repentance of His servants. The concept of repentance is according to synthesis of human nature. As a matter of fact, the commission of sins is deep rooted into the human nature and except the messengers of Allah SWT, who are by their nature immaculate and impeccable, all the human beings commit the sins in one form or the other. However, the countless mercy of Allah SWT is showered upon the servants in the shape of “tauba” or repentance. The concept of repentance infuses a new life into the sinful soul of human being. The tauba or seeking forgiveness of Allah SWT revitalizes the enthusiasm of worship in the Muslim. The concept of the acceptance of tauba provide the peace of mind, consolation and satisfaction of heart to the believers. It enables him to reconnect himself to his Lord. Once a person realizes the forgiveness of Allah SWT, he feels a unique tranquility in his heart. This paper will investigate the multiple verses of Quran and Prophetic Sunna concerning the tauba and istaghfar, and how it helps us to attain the peace of mind and acquire satisfaction of heart.

Prevalence of Non-Alcoholic Fatty Liver Disease in Overweight and Obese Children Seeking Ambulatory Health Services in Nairobi

Introduction: Non-alcoholic fatty liver disease is often an asymptomatic condition one of the leading causes of chronic liver disease and is associated with an increase in cardiovascular morbidity. Being overweight or obese has been positively linked to non-alcoholic fatty liver disease in children. There is evidence to show that when detected early, non-alcoholic fatty liver disease is reversible primarily upon institution of lifestyle changes targeted at weight reduction. Establishing the prevalence of non-alcoholic fatty liver disease in overweight and obese Kenyan children would serve as a benchmark for long term monitoring of associated morbidity and guide in public health policies aimed at early screening and intervention. Objectives: The aim of this study was to investigate prevalence of non-alcoholic fatty liver disease in overweight and obese children aged between six and eighteen years using liver ultrasonography. Methodology: A descriptive cross sectional study was carried out in 103 overweight and obese school aged children aged six to eighteen years seeking ambulatory health care services in Nairobi. Consent was obtained from the primary caregivers. A questionnaire was administered to collect information on bio data. Blood pressure readings were taken and plotted in age and gender specific charts and a liver ultrasound was done to assess and grade fatty changes. Data Analysis: Statistical analyses were conducted using SPSS version 11.5 (SPSS, Chicago, IL, USA). Categorical variables were analyzed using median (IQR) and summarized using frequency counts and percentages. Chi-square test was used to determine odds ratios for association between presence of fatty liver and other categorical variables using 2x2 tables. All clinically important variables were then included in multiple logistic regression model adjusting for age and sex to find if there was any association with fatty liver. All analyses were two-tailed and P-value less than 0.05 was considered statistically significant. Results: A total of 103 children were recruited in the study. The prevalence of fatty liver change was 26.2% (27/103; 95%CI=18.0%-35.8 %). There was no association between sex and fatty liver disease (OR=1.13, p=0.82; 95%CI=0.4-3.2) Obese children were four times more likely to have fatty liver compared to overweight children (OR=4.52 p=0.02, 95%CI=1.4-19.0). Slightly more than a third of the children, 40.8% (n=41) had elevated blood pressure. However, there was no association between elevated blood pressure and fatty liver disease (OR=2.06; p=0.27; 95%CI=0.6-7.6). Older children (13-18 years) were four times more likely to have fatty liver vi