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Polynomial Representation of the Symmetric Group

Thesis Info

Author

Rabia Naveed

Supervisor

Muhammad Fazeel Anwar

Department

Department of Mathematics

Program

BSM

Institute

COMSATS University Islamabad

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathematics

Language

English

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676720735344

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مولوی ریاض حسن خان خیالؔ

مولوی ریاض حسن خان خیالؔ
افسوس ہے کہ گذشتہ مہینہ مظفر پور بہار کے مشہور صاحب علم اور علم دوست رئیس مولوی ریاض حسن خان خیال نے اُناسی (۷۹) سال کی عمر میں انتقال کیا، وہ اور اُن کے بڑے بھائی مولوی اعجاز حسن خان مرحوم قدیم مشرقی تہذیب و شرافت اور قدامت و وضعداری کا نمونہ تھے اﷲ تعالیٰ نے ان کو دولت دنیا کے ساتھ علم کی دولت سے بھی نوازا تھا اُن کا خاندان صوبہ بہار کے تاریخی اور صاحب وجاہت خاندان میں تھا، دونوں بھائی صاحب علم و نظر اور وسعتِ معلومات کے لحاظ سے زندہ کتب خانہ تھے، اعجاز حسن خان مرحوم کے مضامین الندوہ اور معارف وغیرہ میں نکلتے رہتے تھے، اس علمی ذوق کی بنا پر اُن کے بہت سے ہم عصر اصحاب علم و کمال سے اُن کے تعلقات تھے، مولانا شبلی مرحوم کے خاص دوستوں میں تھے، مکاتیب شبلی میں ریاض حسن خان کے نام کے بہت سے خطوط ہیں، مولانا مرحوم جب پٹنہ جاتے تو انہی کے مہمان ہوتے تھے، اس سلسلہ میں ایک ادبی لطیفہ قابل ذکر ہے۔
ایک مرتبہ مولانا ان کے مہمان تھے، ریاض حسن خان کی طبیعت کچھ نا ساز تھی، وہ دوسرے کمرے میں تھے، مولانا جب اُن کی مزاج پرسی کے لیے پردہ اُٹھا کر کمرہ میں داخل ہوئے تو ریاض حسن خان احتراماً اٹھ کر بیٹھ گئے، مولانا نے فرمایا آپ بیمار ہیں تکلف نہ کیجئے لیٹے رہئے، ریاض حسن خان نے اس کے جواب میں مولانا کا یہ شعر پڑھ دیا۔
باہمہ دعویٰ تمکین نتوان خواست زمن
کہ تو از پردہ بدر آئی و بر جا ہاشم
یہ برجستہ جواب سُن کر مولانا بہت محظوظ ہوئے اعجاز حسن خان مرحوم کا انتقال فروری ۱۹۳۹؁ء میں ہوا تھا، ۱۴ سال کے بعد چھوٹے بھائی بھی بڑے بھائی سے جاملے، وہ...

The Values of Social Education in the Quran and its Relevance to The Social Character Building For Children

This study aims to find the values ​​of social educational contained in the Qur'an. This research is a qualitative research in the form of library research. The focus of the verse is the object and source of primary data of this study, namely various commentaries that explain Surah at-Taubah verses 71-72. While secondary data sources of research is various literatut that are relevant to the subject matter of discussion. To answer the discussion of the research, the writer uses the method of interpretation maudhu'i (thematic). This study concludes that the values ​​of humanistic social education contained in the letter at-Taubah verses 71-72 include attitudes of helping to help, an invitation to the good and preventing munkar, social solidarity, brotherhood. These values ​​can be a spirit of  social education in forming empathy, mutual care, protection, tolerance and high social solidarity. The four values ​​of social education can be actualized in the context of the planting of social education in children through various things, among others, the cultivation of a noble mentality in children can be realized in the planting of brotherly values ​​and help children. Furthermore, the cultivation of a spirit of attention to the rights of others and a commitment to social ethics can be realized through the inculcation of the value of social solidarity. Then, inculcation of critical and social supervision can be realized by instilling the value of amar makruf nahi munkar.

Prevalence and Management of Meloidogyne Graminicola Golden and Birchfield on Rice Oryza Sativa L.

Meloidogyne graminicola is one of the major pest threatening rice production in the world. Studies to estimate M. graminicola prevalence and incidence were conducted during 2014-2016 in rice fields of Faisalabad and Chiniot districts of central Punjab, Pakistan. Studies revealed variation in prevalence and incidence of M. graminicola at both districts. Maximum prevalence of M. graminicola was observed 22.5% and 27.5% in Chiniot and Faisalabad respectively during the rice growing season of 2016, while, 20% from Chiniot and 25% from Faisalabad during 2015 and minimum prevalence was recorded 17.5% and 20% during 2014 respectively. The severity of nematode attack on the rice roots and infested fields was based on different attributes like galling index, root-knot nematodes (RKN) per root system, RKN per 100ml of soil, stylet bearing nematodes and non-stylet bearing nematodes were recorded with varying degree of infestation at various locations. Meloidogyne graminicola isolates were recovered from soil and root samples. The isolates were identified on the basis of perineal pattern and ITS based sequencing. Eleven alternate host plant species were examined in this study that showed varying degree of M. graminicola infestation. ITS sequencing and phylogenetic analysis of eight isolates indicated that most of the isolates from this study clustered together with isolates of India, Nepal, Vietnam and China. The results indicate that rice is severely attacked by M. graminicola, necessitating the development of appropriate control measures for its management in rice and other crops related to gramineae family. Twelve cultivars of rice and forty eight advance lines showed different reaction against M. graminicola i.e. tolerant, partially tolerant, susceptible and highly susceptible. Response of forty eight advance lines and 12 cultivars against root knot nematode M. graminicola were observed. Among twelve cultivars Basmati Pak, Super Basmati, PK-386 and Sheen Basmati showed susceptible reaction while Basmati 385 showed highly susceptible reaction and rest seven varieties were moderately susceptible (PS-2, Kashmir basmati, IR-24) and partial tolerant (Basmati-2000, NIAB IR-9, Basmati-198, Basmati 515 ). Among 48 advance lines ten lines showed tolerant reaction, fourteen lines showed partial tolerant, fifteen advance lines showed moderately susceptible and eight advance lines showed susceptible response. Nematicidal potential of five synthetic chemicals i.e., Furadan Rugby, Match, Polo and Matanza were tested against M. graminicola at their standard (S), half (S/2) and double dose (2S) levels. Results of in vitro study disclosed that all chemicals except Polo significantly inhibited egg hatching and J2s mortality of M. graminicola. Furadan, Rugby, Match and Matanza were found effective to inhibit 88.4, 86.3, 89.7 and 81.0% egg hatching, respectively as compare to control while Polo inhibited only 32% egg hatching. Moreover, Furadan and Rugby significantly inhibited the invasion and development of nematodes on rice compared to control. In field study, all chemicals were applied either as root dip or soil application. Match, Furadan and Matanza treated plants observed significantly lower number of eggs and J2s against control. Both applications methods were effective, but soil application was the best. All the chemicals applied either as root dip or soil application improved plant height, shoot weight, grain weight by inhibiting nematode reproduction i.e., gall formation, development of adult females, eggs and nematode population in soil except Rugby that caused phytotoxic effects on plants. All the chemicals were found more effective at their standard dose than double or half dose. In conclusion, soil application of all tested chemicals in this study except Rugby seemed viable option for chemicall control of M. graminicola in rice fields of Pakistan.