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A Permutation Representation of Alternating Groups

Thesis Info

Author

Asif 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

1992

Thesis Completion Status

Completed

Page

41

Subject

Mathematics

Language

English

Other

Call No: DISS/M.Phil MAT/205

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676715498520

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مولانا غلام محمد شملوی

مولانا غلام محمدشملوی
یہ خبر نہایت رنج و افسوس کے ساتھ درج کی جاتی ہے کہ ندوۃ العلماء کے مشہور سفیر و وکیل مولانا غلام محمد صاحب شملوی نے ۲۹؍ مارچ ۱۹۳۴؁ء کو وفات پائی، ندوۃ العلماء کے مقاصد کی اشاعت اور اس کے لیے مالی امدادوں اور چندوں کے حصول میں ان کی کوششیں بہت کامیاب تھیں، وہ جوانی میں تارک الدنیا فقیر ہوگئے تھے، اور جنگلوں میں رہتے تھے، ندوۃ العلماء کے ابتدائی اجلاسوں کے روحانی اثرات نے ان کو دوبارہ دنیا میں داخل کیا اور ندوۃ العلماء کی خدمت کا ایسا ولولہ ان میں پیدا کیا کہ مرتے دم تک سرد نہیں ہوا، وہ بڑے پرجوش مقرر، روشن خیال عالم اور صاحب عزم محنتی تھے، ندوہ کی خدمت میں انہوں نے ہندوستان کی گلی گلی کی خاک چھانی، اور ہر چھوٹے بڑے سے ملے، مدت سے ان کی صحت خراب تھی، وفات کے وقت ان کی عمر ستر کے قریب ہوگئی، تاہم ان میں ایسی ہمت تھی جو جوانوں کو شرماتی تھی، خدا مغفرت فرمائے۔
(سید سلیمان ندوی، اپریل ۱۹۳۴ء)

 

أحاديث الأحكام المختلفة على سفيان الثوري بابدال الراوي وأثرها على اختلاف الفقهاء

The differences in the transmissions of the Hadith have great impact on the disagreement among the jurists, and this sets in the diversity in Fiqh. This research is about the disagreement of narrators from Imam Sufyan al-Thawri in the Asanid of Hadiths which are collected from the book “Ellal al-hadith by Imam al-Daraqutni”. The difference among the narrators exist in the Sanad by the change of narrator in the Sanad, and it results in the disagreement its impact on the various jurisprudential issues between Jurists Key words: Canonical Ahadith, Narrators of Sufian al-Thawri, Disagreement among the Jurists.

Integrated Pest Management of Sugarcane Pyrilla, Pyrilla Perpusilla Wlk. Homoptera: Lophopidae in Punjab, Pakistan

The study was conducted on IPM of P. perpusilla, on various sugarcane genotypes, in the research area of Sugarcane Research Institute, AARI, Faisalabad, during 2006 to 2008. Twenty genotypes of sugarcane were tested for their resistance/susceptibility under replicated field trials against P. perpusilla, as a preliminary screening experiment. The most resistant variety, HSF-240 was selected for further experiments after final screening trials. The role of weather in the population fluctuations of the pest was also determined. Various physio-morphic and chemical plant-characters, viz., leaf width, leaf length, leaf spines density, cane length, cane diameter, nitrogen, phosphorus, total minerals, calcium, magnesium, fat, CHO, copper, zinc, POL, Brix, CCS and fiber contents were determined from the selected genotypes with the objective to ascertain the role of these factors, towards the resistance/susceptibility, against the pest, under test. Various control methods, like, cultural (fortnightly hoeing, detrashing of older leaf two times and trash mulching at the time of sowing), biological (release of cocoons of Epiricania melanoleuca @ 2500/ha four times from June 15 to September 15) , chemical (carbofuron @ 35 kg/ha from one month after sowing and coupled with earthing up), were applied singly and in their possible combinations, such as, biological + cultural, biological + chemical, cultural + chemical and cultural + chemical + biological control with the objective to keep the pest population below the economic threshold level and to find the most economical and effective method of control, for communication to the farmers. Application of cultural + chemical + biological controls in combination, resulted in a minimum population of P. perpusilla i.e., 0.32/leaf, whereas cultural methods showed a maximum population of 3.65/leaf, of the pest. The maximum yield, was recorded to be 3415.67 mounds/ha, in those treatments where cultural + chemical + biological control methods, were implicated and the minimum yield of 2214.33 mounds/ha, was observed, in application of cultural method. The application of cultural + chemical + biological control methods resulted in maximum net gain i.e., Rs. 149167/- with a cost-benefit ratio of 9.44 and was found to be the best treatment.