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Morse Theory

Thesis Info

Author

Ghulam Sarwar

Department

Deptt. of Mathematics, QAU.

Program

Mphil

Institute

Quaid-i-Azam University

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

1978

Thesis Completion Status

Completed

Page

59

Subject

Mathematics

Language

English

Other

Call No: DISS/M.Phil MAT/42

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676716073572

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ملا طاہر سیف الدین

ملا طاہر سیف الدین
گذشتہ دو مہینوں میں مسلمانوں کے دو بڑے قومی حادثے ہوئے، ۵؍ نومبر کو داؤدی بوہرون کے امام ملا طاہر سیف الدین نے انتقال کیا، ان کی ذات جامع صفات تھی، بڑے ذی علم، دیندار، فیاض و مخیر اور وسیع القلب تھے، دینی علوم پر ان کی نگاہ بہت وسیع تھی، اس لحاظ سے وہ ہندوستان کے ممتاز علماء میں تھے، صاحبِ قلم بھی تھے، عربی میں ان کی کئی تصانیف ہیں، انھوں نے اپنے دور میں نہ صرف اپنے فرقہ کی بڑی تعلیمی و اقتصادی خدمت کی بلکہ دوسرے اسلامی فرقوں کے ساتھ بھی ان کا سلوک روادرانہ و فیاضانہ تھا، اور ان کو ایک دوسرے کے قریب لانے کی کوشش کی، مسلم یونیورسٹی کے تو چانسلر ہی تھے، اس کو وقتاً فوقتاً بڑی بڑی رقمیں دیتے رہتے تھے، دارالمصنفین کی جوبلی کے موقع پر اس کو بارہ ہزار کا عطیہ دیا، اس لیے ہر فرقہ کے مسلمانوں میں عزت و وقعت کی نظر سے دیکھے جاتے تھے، اﷲ تعالیٰ ان کے حسنات کے طفیل میں ان کی مغفرت فرمائے، دارالمصنفین اس حادثہ میں ان کے لائق جانشین ملا برہان الدین کا شریک غم ہے اور دعا ہے کہ خدا ان کو ان کے باعظمت والد کے نقش قدم پر چلنے کی توفیق عطا فرمائے۔ (شاہ معین الدین ندوی، دسمبر ۱۹۶۵ء)

 

Historical Roots of Radicalization in Pashtun’s Society

This research article aims to trace the history of radical movements in the North-West frontier of sub-continent. Historically, radical movements have long roots in Pakhtun Society.  People recruited in different epochs from Pakhtun society branch into various freedom movements before the partition of sub-continent. Freedom movements against the Sikh, Hindu and the British lifted radical impact on Pakhtun Society before the partition of sub-continent.  Radical movements after the partition of sub-continent also established their roots in the North-West region of Pakistan. These radical movements engineered the pluralistic cultural values of Pakhtun Society. These movements have lifted radical trends in the North-West frontier of sub-continent. Pakhtuns and their cultural values were not only exposed to violence but the evolution of their culture had been disturbed.

Impact of Carbohydrate-Nitrogen Ratio and Photosynthetic Activities on Plant Growth, Fruit Yield and Quality of ‘Kinnow’ Mandarin Citrus Nobilis Lour. X Citrus Deliciosa Tenora

The current study was conducted to determine the effects of balance use of fertilization particularly nitrogen with or without biostimulant on Carbohydrate-Nitrogenratio (C:N) and photosynthesis and then effect of both on production and quality of fruits. Three different experiments were planned and executed. In the first experiment, different nitrogen doses (1200, 900 and 600 g) along with humic acid (HA) (120 ml of 8% solution) per plant were applied in three installments and these plants were compared with control plants (receiving 1200 g N in two installments) for vegetative and reproductive growth. Application of 900 g N per tree with 120 ml HA was found the best regarding the increase in photosynthesis (4.47) and low C:N ratio (4.78) of plant at fruit setting stage which improved the yield (956 fruit/plant) and other quality related parameter of ‘Kinnow’. Maximum TSS (12.20 oBrix), ascorbic acid (44.96 mg/100g), total sugars (13.69%), reducing sugars (5.44%), non-reducing sugars (7.57%), phenolic compounds (398.55 mg GAE/100 g) and antioxidants (90.13 Ic μg/L) were also recorded in the fruit of this treatment. This treatment had also effect on plant growth with an increase of 20.64 cm in plant height and 37.25 cm3 in canopy volume. In second experiment three concentrations of salicylic acid (SA) and ascorbic acid (AA) were used for the optimization of best dose. The results elucidated stimulating effects of SA (6 mM) and AA (120 ppm) on photosynthesis and nitrogen use and decreased the C:N ratio of the plants. These effects indicate maximum utilization of carbohydrates in growth and development of the plant. Plants treated with SA (6 mM) showed higher values of biochemical parameters of ‘Kinnow’ fruits such as TSS (12.00 oBrix), ascorbic acid (46.51 mg/100g), fructose (2.95%), glucose (2.85%), sucrose (7.90%), phenolic compounds (360.42 mg GAE/100 g) and antioxidants (89.55 (Ic μg/L). Application of AA (120 ppm) improved ascorbic acid (46.51 mg/100g), reducing sugars (4.23%), non-reducing sugars (8.50%), antioxidants (87.63 μg/L) and phenolic compounds (365.24 mg GAE/100 g) in fruit. Plant growth was significantly affected by the above mentioned treatment of SA (6 mM) with an increase of 22.46 cm in plant height and 23.45 cm3 increase in canopy volume. In third experiment combined effect of N, SA and AA was in confirmation with the previous results of photosynthesis, C:N ratio and productivity of the plant. Plants treated with combined dose of SA, AA and N showed higher biochemical parameters of ‘Kinnow’ fruits such as TSS (12.20 oBrix), ascorbic acid (54.64 mg/100g), total sugars (14.30%), reducing sugars (1.81%), non-reducing 2 sugars (12.49%). Maximum total phenolic compounds (394.58 mg GAE/100 g) were also noted in the fruit of this treatment. Effect of this treatment was depicted with an increase of 24.85 cm in plant height, 2.34 cm in stem girth and 35.65 cm3 in canopy volume. Correlation between fruit yield and biochemical/physiological parameters showed significant effect on fruit yield. Correlation was found significant between C:N ratio and physiological parameters, such as photosynthesis, stomatal conductance and transpiration in plants. All these physiological process have direct or indirect relation with fruit production. The yield potential of a plant can be measured directly from total number of fruit per plant, however in this study involvement of photosynthetic activities in relation to C:N ratio at different growth stages of plant could be proved a good predictor of fruit yield. Conclusively, application of 900 g N per tree and 120ml HA in equal three splits (before flowering, fruit setting and fruit maturation) along with recommended doses phosphorus (P) and potassium (K) (600 and 600g) per tree can be used effectively to build synergistic photosynthetic and C:N ratio to improve the leaf nutrient status, fruit yield and quality of ‘Kinnow’ mandarin.