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On Steady Flows Due to a Riga Surface

Thesis Info

Author

Tehseen Abbas

Department

Department of Mathematics, QAU

Program

PhD

Institute

Quaid-i-Azam University

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Page

110

Subject

Mathematics

Language

English

Other

Call No: DISS / Ph.D / MAT / 1480

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676719159221

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شیخ عبدالعزیز شادیش

شیخ عبدالعزیز شادیش
افسوس ہے کہ اس مہینہ شیخ عبدالعزیز شادیش نے مصر میں وفات پائی، یہ مفتی محمد عبدہ کے شاگردوں میں تھے اور طبعاً نہایت پرجوش تھے، نوجوان ترکوں کی انجمن اتحاد و ترقی کے زمانہ میں یہ اس کے سرگرم حامی تھے، بلکہ یہ کہنا چاہئے کہ یہ اس کی مذہبی روح تھے، انور پاشا مرحوم کے دست و بازو تھے، بلقان کے بعد انہوں نے قسطنطنیہ سے ’’الہدایہ‘‘ نام کا ایک علمی، مذہبی، اصلاحی رسالہ عربی میں نکالا تھا، جنگ عظیم میں یہ اتحادیوں کے خلاف عرب میں جہاد کے واعظ اور مبلغ تھے، ترکی کے موجودہ انقلاب میں بھی شریک ہوئے اور چاہتے تھے کہ اس انقلاب کے ہاتھ سے معتدل مذہبی اصلاحات اور اتحاد اسلامی کا سررشتہ نہ چھوٹے، اس لئے انگورہ میں دنیائے اسلام کی ایک علمی و ادبی انجمن بنائی، جس کے کتب خانہ میں تمام اسلامی زبانوں کی کتابیں جمع کی جائیں تاکہ ایک نظر میں تمام اسلامی دنیا کی مختلف دماغی سطح معلوم ہوجائے اور اتحاد اسلامی کی مجسم شکل سامنے آجائے، مگر مصطفی کمال پاشا کی سرعت رفتار کا وہ ساتھ نہ دے سکے، ناچار مصطفی کمال نے جب خلافت کی قبا اتار پھینکی اور اپنے کو جیسے وہ تھے سب کے سامنے ظاہر کردیا، تو شیخ نے انگورہ چھوڑ کر مصر میں قدم رکھا اور سیاسیات سے یکسر تائب ہوکر اپنے استاد کے نقشِ قدم پر چلے، یعنی مصر کے تعلیمی محکمہ میں وہ ابتدائی تعلیم کے انسپکٹر مقرر ہوگئے۔
اس خدمت کے ساتھ ساتھ انہوں نے چند ہی سال کے اندر مصری طلبہ کو خطرناک قومیت کے جذبات سے بچانے کا کام اصلاحی حیثیت سے شروع کردیا، پہلے ان کے لئے مکارم الاخلاق کے نام سے ایک انجمن قائم کی، جس نے اپنے چند ہی اجلاسوں میں طلبہ کو مغربی اخلاق و تمدن...

GENDER DIFFERENCE IN FUNCTIONAL DISABILITY AMONG PATIENT WITH NON-SPECIFIC CHRONIC LOW BACK PAIN

Background of the Study: LBP is a common condition that can be specific or non-specific. Non-specific LBP, which has no known cause, is responsible for 90% of cases and causes pain in the back from the 12th rib to the inferior gluteal folds. Methodology: The study utilized a cross-sectional design in which both males and females completed the Oswestry low back questionnaire. The data was entered and analyzed using SPSS version 21. Results: 85 patients participated in the study with a mean age of 38±9.603. Pain levels varied among patients, with 23 reporting no pain, 29 with light pain, 23 with moderate pain, and 10 with pretty severe pain. Patients had varying degrees of self-care ability with 13 able to care for themselves without triggering pain and 4 requiring daily assistance. Most patients (75 out of 85) had minor disabilities, while 10 had moderate disabilities. The relationship between the ODI score and the question was found to be similar. Conclusion: The data suggest that individuals with non-specific chronic low back pain have only a limited impairment, and only a few suffer from moderate sickness that affects their social lives. Non-specific persistent low back pain is not connected with gender differences in functional impairment.

Addressing Linear Regression Models With Correlated Regressors: Some Package Development in R

Regression analysis is widely used in manyelds such as economics,nance, technology and social sciences. A linear regression model describes the relationship between dependent variable and one or more regressors. A problem named multicollinearity is the existence/presence of nearly linear dependency among regressors. The existence of severe multicollinearity questions the accuracy of the parameters estimate in a linear regression model, because the variance of the ordinary least square estimator (OLSE) would be large enough. Therefore, detection of multicollinearity can be considered asrst step for giving solution of this problem. There are several indicators (diagnostic measures) for the quanti cation of collinearity among regressors available in the literature. Widely used and the most suggested diagnostics are values of pair-wise correlations among regressors, overall R2, VIF and tolerance limit, eigenvalues, condition number and condition indices etc. However, there is no unique method that can detect and measure the existence and strength of multicollinearity in data. For remedy or reduction of collinearity among regressors, biased estimators are suggested such as the ridge and Liu estimators in literature and are alternative to the OLSE. These alternative methods also improve the accuracy of the parameter estimates of linear regression models. The biased methods resemble each other and are based on similar principals. In this study, we propose two new detection methods for indication of collinearity vi existence and developed 3 packages in R language namely mctest, lmridge and liureg. The package mctest computes already existing collinearity diagnostic measures and our proposed measures. We also compare existing and our proposed collinearity diagnostics measures for the detection of collinearity existence among regressors. Our proposed collinearity diagnostics not only perform well for simulated but also for real collinear data sets. For computation and detection of existence of collinearity mctest package can be used. The package contains functions omcdiag for computation of overall and imcdiag for individual collinearity diagnostics as described in Chapter 3, Section 3.5. For estimation and testing of ridge coe cients, the ridge package lmridge can be used to compute ridge coe cients, di erent existing biasing parameters available in literature and testing of ridge coe cients with 15 ridge related statistics such as R2, adjusted-R2, mean square error and e ective degrees of freedom etc. Similarly, estimation and testing of Liu coe cient can be done using package liureg package. It computes biasing parameters from (Liu, 1993) and the Liu related statistics. In addition, numerical comparisons between existing estimator of ridge and Liu are also done by using existing collinear data set from Hald (1952), Longley (1967) and Malinvaud (1968).