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Numerical Solution of Differential Equations by Haar Wavelets

Thesis Info

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Author

Ghafoor, Abdul

Program

PhD

Institute

Ghulam Ishaq Khan Institute of Engineering Sciences and Technology

City

Swabi

Province

KPK

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/9737/1/Abdul_Ghafoor_Applied_Mathematics_HSR_2018_GIKI_29.08.2018.pdf

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676726779902

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جمال اُن کا جہاں کے جمال سے اعلیٰ (نعت )

نعت ِ رسولِ مقبول صلی اللہ علیہ وآلہٖ وسلم

جمال اُن کا جہاں کے جمال سے اعلیٰ
کمال اُن کا جہاں کے کمال سے اعلیٰ

مرے حضور کی کوئی مثال کیا دے گا
کہ یہ وہ ذات ہے جو ہے مثال سے اعلیٰ

درودِ پاک کو میں نے بنا لیا ہے ڈھال
ہے کوئی ڈھال بھلا میری ڈھال سے اعلیٰ

نماز کون پڑھے گا حسین سے افضل
اذان کون پڑھے گا بلال سے اعلیٰ

کہ میں نے عشقِ محمد کی اوڑھ لی ہے شال
دکھائے شال کوئی میری شال سے اعلیٰ

خدائے ارض و سما جس پہ خود درود پڑھے
تو کون ہو گا پھر اُس خوش خصال سے اعلیٰ

وہ ایک لمحہ جو گزرا کبھی مدینے میں
وہ ہے بہشت کے ہر ماہ و سال سے اعلیٰ

وہ خوش نصیب ! مدینے کی خاک جس کو ملی
کہ خاکِ شہرِ مدینہ ہے لعل سے اعلیٰ

میں وصف گلشنِ احمد کے کیا بیان کروں
ہر ایک ڈال ہے ہر ایک ڈال سے اعلیٰ

مرے حضور کی فرقت میں جو بھی اشک بہے
ہیں دو جہان کے مال و منال سے اعلیٰ

جہان بھر میں ہے تائبؔ فقط اُنھی کا در
عطا ہے جس کی ہمیشہ سوال سے اعلیٰ

أبو الأحرار محمد محمود الزبيري وخدماته الأدبية

Renowned Yemeni poet and freedom fighter Muhammad Mahmood Al-Zubairi, also known as the father of freemen, born in Sanna in 1910 in a middle class family. He was one of  the Yemeni iconic revolutionaries who opposed the Imamate. He took part in the revolution in 1962, bringing about Yemen’s transition from a monarchy to a republic. He was one of the founders of the movement of liberals and the leader of opposition against the Imam’s rule. This led to his persecution and he suffered destitution and exile outside his country, settling finally in Pakistan where he had opportunity to translate the poetry of Pakistan’s national poet, Muhammad Iqbal into Arabic. Finally, in 1962, when the revolution against the Imam erupted in Yemen, he went back to his country and became the minister of education. He fallen victim to the royalist forces in 1965 and has been regarded since as one of the Yemen’s most acclaimed martyrs. Al- zubairi published several collection of poetry. In 1978, a volume of his collected poems was published entitled Diwan al-zubairi. His work  reflects a real originality of themes, ideas and method of treatment. This article discusses the literary work  of Abu Ahrar Muhammad Mahmood Al-Zubairi.

Seismic Risk Assessment of Unreinforced Brick Masonry Buildings System of Northern Pakistan

This research work was aimed at assessing the seismic risk of unreinforced brick masonry buildings’ system of Northern Pakistan, constructed in stone dust mortar. To accomplish this, four series of unreinforced brick masonry piers constructed in stone dust mortar were tested in the in-plane direction using quasi-static method of testing. Each pier series comprised of three piers with identical properties and thus a total of twelve piers were tested. Aspect ratio and pre-compression were kept as the main variables. Various properties such as displacement ductility factors, ultimate drift ratios, coefficient of equivalent viscous damping, stiffness degradation and modulus of rigidity were determined using the experimental data from quasi-static cyclic tests on the piers. The effect of pre-compression on the coefficient of equivalent viscous damping and stiffness degradation were studied. Similarly, the effect of drift ratio on the coefficient of equivalent viscous damping was also studied. Various performance levels for unreinforced brick masonry piers, in relation to drift ratios, were also recommended. Based on the results of experimental work, a methodology was proposed for lateral strength assessment of unreinforced brick masonry buildings. The developed methodology produced satisfactory results when compared with the results of full-scale unreinforced masonry (URM) buildings tested at University of Pavia, Italy [MKC 95] and Georgia Institute of Technology, USA [ Yi 04]. Although the proposed methodology was used for brick masonry buildings, it can be applied to other types of masonry (such as stone and concrete block masonry constructed in cement: sand mortar, lime mortar, etc.) if the properties required to quantify the seismic performance (e.g., displacement ductility factors and ultimate drift ratios of masonry piers, etc.) are experimentally known. Various performance levels for unreinforced brick masonry buildings were also recommended in relation to drift ratios. Finally, seismic capacities of thirty-one buildings were evaluated. The buildings’ stock consisted of seventeen single-story and fourteen double-story buildings. The buildings were selected keeping in view their common typological use in urban areas of Northern Pakistan. Fragility curves, showing the probabilities of reaching or exceeding various performance levels at various levels of ground shaking, were drawn for various performance limit states. It was found by studying the fragility curves that the probability of occurrence for various performance levels of single- and double- story buildings do not differ significantly. It was also concluded that unreinforced brick masonry, if properly constructed, can be safely used in localities placed in seismic zone 2b [BCP 07] and below