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ڈاکٹر محمد ایوب قادری

ڈاکٹر محمد ایوب قادری
پاکستان وبھارت کے علمی اور دینی حلقوں میں یہ خبر بڑے رنج وغم کے ساتھ سنی گئی کہ۲۵/نومبر۱۹۸۳ء کوپاکستان کے ایک نامور ادیب،مصنف اور مؤرخ ڈاکٹر محمد ایوب قادری کراچی میں ٹریفک کے ایک حادثے میں جاں بحق ہوگئے۔ وفات کے وقت ان کی عمر۵۶برس کے لگ بھگ تھی۔
قادری صاحب روہیلکھنڈ کے مشہور تاریخی قصبے آنولہ کے رہنے والے تھے۔ان کی ابتدائی تعلیم بدایوں اوربریلی میں ہوئی۔تقسیم ملک کے بعد موصوف کراچی چلے گئے۔کراچی جاکر انھوں نے اپنی تعلیم جاری رکھی اوربالآخر اردو کالج کراچی میں شعبۂ اردو میں لیکچرار مقرر ہوئے اور محنت،لگن اورخلوص کی بدولت آخر میں شعبۂ اردو کے صدر بن گئے۔
قادری صاحب کوروہیلکھنڈ کی تاریخ، رجال اور اماکن پربڑی دسترس تھی۔اس کے علاوہ۱۸۵۷ء کی جنگِ آزادی کے ہیرو ان کی تحقیق کا محور تھے۔ انھوں نے مخدوم جہانیاںؒ کاایک تذکرہ لکھا اورمآثرالامراء کااردو میں ترجمہ کیا۔ مرحوم نے مجلہ اردو کالج کراچی کے کئی شاندار نمبرنکالے۔پاکستان اوربھارت کے علمی وادبی رسائل میں ان کے مضامین اکثرچھپتے رہتے تھے۔
۲۵/نومبر کی شام کو موصوف اپنے گھرواقع شمالی ناظم آباد سے چلے۔ابھی انھوں نے بمشکل سو سواسوگز کا فاصلہ طے کیاہوگا کہ ایک ویگن ان کے سرسے ٹکرا گئی اورموصوف موقع پرہی جان بحق ہوگئے۔
یہ بھی عجیب بات ہے کہ ان کے ایک حقیقی بھائی ابومعاویہ نعمت اﷲ قادری بھی ۲/فروری۱۹۸۱ء کولیاقت آباد کراچی میں ٹریفک کے ایک ایسے ہی حادثے میں جاں بحق ہوئے تھے۔ابومعاویہ کودیکھ کرقرنِ اوّل کے مسلمانوں کی یادتازہ ہوتی تھی۔انھوں نے اس مادی دور میں اپنے تمام بچوں کودینی مدارس میں تعلیم دلوائی۔
یہ دونوں بھائی بڑی خوبیوں کے مالک اور اعلیٰ انسانی اوصاف سے متصف تھے۔اﷲ تعالیٰ ان کومغفرت وبخشش کی نعمتوں سے سرفراز فرمائے۔
[مارچ۱۹۸۴ء]

 

قضية الانتحال في الشعر الجاهلي عند الاقدمين والمحدثين من الأدباء العرب

This Research Article is based on Plagiarism of the verses in Ancient era of Ignorance (Jahiliat) . The criticism of Ancient and Modem Arabic Poets. The well known literary figure of Arabic Literature put forward the theories and discussion due to which this plagiarism occurred. The next famous commentators who were accused of this sort of plagiarism in Arabic poetry. Beside this the rules and regulations adopted to point out and this practice was put to and end.

Generalized Designing of Systematic Sampling Schemes

After a detailed review of existing sampling schemes, a new class of systematic sampling design, called a Generalized Linear Systematic Sampling (GLSS) for estimation ofnite population mean is introduced. The proposed design is found to be better than Simple Random Sampling (SRS) and is the generalization of the several existing systematic sampling schemes such as Linear Systematic Sampling (LSS), Diagonal Systematic Sampling (DSS) and Generalized Diagonal Systematic Sampling (GDSS). All of these designs become special cases of the proposed design. In this design an optimum choice of sampling interval under linear trend is also be discussed. Sampath and Varalakshmi (2008) proposed an equal probability scheme called Diagonal Circular Systematic Sampling (DCSS) under the conditions stated by Sudhakar (1978). However, it is observed that DCSS does not ful ll these conditions. Therefore, a necessary and su cient condition has been suggested for DCSS after a slight modi cation in the theorem proposed by Sengupta and Chattophadyay (1987). Under this condition, one can easily decide when and where DCSS is applicable. Some de ciencies in traditional selection procedure of circular version of systematic sampling schemes are also investigated and alternative methods are proposed. Some rules of thumb for coincidence of units in the sample are also introduced. The end corrections proposed by Bellhouse and Rao (1975) and Sampath and Varalakshmi (2008) for circular systematic sampling (CSS) and DCSS respectively are also modi ed. Theoretical selection procedure has also been established for several cyclic CSS regarding the suggestion of Sudhakar (1978). Mean and variance expressions of CSS for perfect linear trend are not available in the literature. Therefore, a new approach is introduced to study the characteristic of circular version of systematic sampling. By using it, mean and variance expressions of CSS for perfect linear trend has been derived. Mean and variance of DCSS can be deduced from these expressions. Average variance expressions of corrected sample vii means for modi ed CSS and DCSS are derived under the super population model. Based on the average variances, numerical e ciency comparison of CSS and DCSS has also been carried out. In the current study a new sampling design called Modi ed Systematic Sampling (MSS) is proposed. In this design each unit has an equal probability of selection. Moreover, it works for both situations: N = nk or N 6= nk. Modi ed Systematic Sampling reduces to LSS, if N = nk and becomes CSS, if N and n are co-prime. The proposed MSS performs better than CSS in every aspect of systematic sampling, speci cally, simplicity, e ciency and even coverage of sample unit over the entire population. E ciency comparison of MSS with CSS is also carried out for natural populations. Furthermore, MSS is also studied for populations having a linear trend. Expressions for mean and variance of sample mean are obtained for the population having perfect linear trend among population values. Average variance of corrected sample mean under super population linear model and average variance of sample mean under super population auto-correlated model are also obtained. Further,numerical e ciency comparisons using these average variances are also obtained for di erent sample sizes. One of the major and long-standing problem of unbiased estimation of population variance is also discussed in the current study. In this case, the concept of multiple random start is extended from linear version (where N = nk) to the general case (where N 6= nk). As a result, a new sampling design called \Universal Systematic Sampling (USS)" is introduced. Linear systematic sampling and Simple Random Sampling (SRS) are the two extreme cases of this design. Mean and variance of mean for LSS and SRS can be extracted from the derived expressions of mean and variance of mean of USS. An explicit expressions of unbiased estimator of population variance and its variance are also derived. Finally, an e ciency comparison with SRS is also carried out for natural populations, simulated populations and population having linear trend.
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