مولانا محمد عثمان
افسوس ہے چند ماہ ہوئے مولانا محمد عثمان صاحب کا بھی اپنے وطن مالیگاؤں میں انتقال ہوگیا۔مولانا دارالعلوم دیوبند کے فارغ التحصیل تھے، استعداد پختہ تھی۔ یوں تو ان کومناسبت اوردلچسپی کم وبیش ہرفن سے تھی تاہم تفسیر اور حدیث ان کا خاص فن تھے۔ ایک عرصہ تک مالیگاؤں کے مختلف مدارس میں استاد رہے لیکن ان کی زندگی کاسب سے بڑااوراہم کارنامہ جوان کے لیے بقائے دوام کا ضامن ہے، مسلمان لڑکیوں کے لیے درس نظامی کاوہ عظیم الشان مدرسہ ہے جومالیگاؤں میں جامعۃ الصالحات کے نام سے معروف ومشہور ہے، اب تو لڑکیوں کے لیے بڑے بڑے عربی مدارس ادھراُدھر اوربھی کئی ایک ہوگئے اور ہوتے جارہے ہیں لیکن صوری اورمعنوی دونوں اعتبار سے جامعۃ الصالحات کو یک گونہ شرف فضیلت و تقدم حاصل ہے اوریہ سب کچھ نتیجہ ہے مولانا مرحوم کے اخلاص ومحبت،محنت ومشقت اور ذوق تعمیر وحسن انتظام کا۔
راقم نے کئی مرتبہ جامعہ کی دورۂ حدیث کی طالبات کاامتحان لیاہے اور ہرمرتبہ طالبات کے صحیح اور برمحل جوابات سے دل نے مسرت محسوس کی ہے۔ ان کو جامعۃ الصالحات سے عشق تھا، شب وروز اس کے کاموں میں مصروف رہتے تھے۔ اﷲ تعالیٰ ان کوعلماوصلحا کا مقام جلیل عطافرمائے اورجامعۃ الصالحات کوکسی قسم کے شر اورضررسے محفوظ رکھے۔ [جولائی۱۹۸۴ء]
Coronavirus 2019 (COVID-19) affects the cardiorespiratory systems by causing inflammation of the circulatory systems, hence, causing more cardiac complications in COVID-19 patients Objective: To observe the frequency of cardiac complications in COVID-19 patients during the second wave Methods: 235 COVID-19 patients presenting with cardiac complication to the Cardiology Department of Mayo Hospital, Lahore during 6 month periods of second wave of COVID-19 were included. Data regarding the medical history, age, gender was taken and the observed cardiac complication were noted Results: There were 76.6% male patients and 23.4% female patients. 56.2 % patients were already hypertensive, 37.9% were diabetic, 18.3% had familial history of cardiac diseases. The cardiovascular manifestations observed were, myocardial infarction (57.82%), 7.3% had angina, 21.3% had acute coronary syndrome and 12.3% had non ST elevation myocardial infarction. Conclusions: Our study suggests that there is a prevalence of cardiovascular diseases in COVID-patients which is a major concern as they are at increased risk for severe infection.
Four new generalizations of power-Cauchy distribution are proposed in this thesis. Firstly, the Poisson-X family is proposed and its important mathematical properties are obtained. Then, a member of the Poisson-X family namely the Poisson power-Cauchy)distributionisdefinedanditsstructuralpropertiesareinvestigated. The proposed model is fitted to three real-life data sets to illustrate its flexibility. Secondly, the log-odd normal generalized family of distributions is introduced. Then, a special model of this family, the log-odd normal power-Cauchy is defined and its mathematical properties are obtained. A real-life data set is used to prove the superiority of the proposed model. Thirdly, the Weibull-Power-Cauchy distribution is proposed and its mathematical properties are obtained. Two useful characterizations based on truncated moments are also presented. The proposed model is applied to three real-life data sets to investigate its flexibility. Lastly, a new extensionofpower-Cauchymodelisproposedbycompoundingthepower-Cauchyand negative-binomial distribution called the power-Cauchy negative-binomial distribution. Some mathematical properties of the proposed model are obtained and the model parameters are estimated using the maximum likelihood method. A simulation study is carried out to investigate the performance of maximum likelihood method. The flexibility of the proposed model is illustrated through three real-life data sets. Then, a new class of regression model is introduced for location and scale based on the logarithm of the proposed random variable and, estimation and inference on the regression coefficients are discussed.