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Absolutely Summing Operators in Lp-spaces and their Application

Thesis Info

Author

Rewayat Khan

Supervisor

Oleg. I. Reinov

Department

Abdus Salam School of Mathematical Sciences

Program

Mphil

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2015

Language

English

Other

2012-MP-ASSMS-15

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676729500449

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المبحث الثالث: ثقافتها

المبحث الثالث: ثقافتها

 تقول نازك الملائکۃ: بأنھا اتجھت اتجاھًا شدیداً مبالغاً إلی دراسۃ الأدب القدیم، وخاصۃ النحو، وأنھا قرأت من کتب النحو ’’شذور الذھب لابن ھشام‘‘[1]، وأیضاً ’’حاشیۃ الشیخ عبادۃ علی شذور الذھب‘‘ وقرأت نازك في حقل الأدب واللغۃ ’’عمدۃ ابن رشیق‘‘[2] والمثل السائر وأدب الکاتب و ’’خزانۃ الأدب للبغدادي‘‘ وقرأت أیضاً، ’’البیان والتبیین‘‘[3] في ثمانیۃ أیام ولم یکن ھذا ھیناً علیھا، فقد کانت أیام محنۃ انتھت بمرض عینیھا حتی اضطرت إلی ترك المطالعۃ وقرأت أیضاً ’’رسالۃ الغفران‘‘[4]۔

 وتحکي نازك عن نفسھا في حیاتھا المدرسیۃ عندما کانت تلمیذۃ في ’’فرع البنات‘‘ وفي تلك الفترۃ ھذا الفرع کان بین العلمي والأدبي فنازک کانت تکرہ الریاضیات والفیزیاء وعلم النبات، وکانت تتمنی أن تتخرج من الثانویۃ وتلتحق بالفرع الأدبي في دار المعلمین العالیۃ، وفي ھذہ الفترۃ کانت تحب دروس اللغۃ العربیۃ، فقد جاء ت في السنۃ الأخیرۃ من الثانویۃ مَدرِّسۃ راعت مواھبھا ومدحت ثقافتھا الواسعۃ، وکانت کثیرۃ النقاش مع والدھا وحفظت الکثیر من الشواھد والأھم من ذلك أنھا کانت توفق بین دراستھا الخارجیۃ والمدرسیۃ۔



[1] ابن ھشام: ابن ھشام الانصاري ھو ابو محمد عبداﷲ جمال الدین بن یوسف بن أحمد بن عبداﷲ بن ھشام الانصاري المصري من أئمۃ النحو العربي

[2] ابن رشیق: ھو ابو علی الحسن بن رشیق المعروف بالقیرواني أحد الأفاضل البلغاء۔ لہ کتب عدۃ منھا، کتاب العمدۃ في معرفۃ صناعۃ الشعر ونقدہ وعیوبہ، وکتاب الأنموذج والرسائل الفائقۃ

[3] البیان والتبیین: البیان والتبیین للجاحظ، وھي موسوعۃ أدبیۃ تمثل ثقافۃ الجاحظ وھو من أصخم مؤلفات الجاحظ۔

[4] رسالۃ الغفران عمل...

مشاكل اللغة العربية في نيجيريا

The Arabic language faces many hurdles in its expansion and progress in the non-Arab world internationally. This time our focus is the multi-lingual community Nigeria. Nigeria is a country of languages, where there are hordes of mother tongues (dialects) , an official language and then there is a religious language as well. It is very tough to focus on the Arabic language in this myriad of languages though; it enjoys a historic status and prestige there. A few reasons for this lack of focus on Arabic language Nigeria are as follow: 1. The British colonialism and its treacherous role to downplay the Arabic language. 2. To segregate Arabic from Muslim Ummah in Nigeria, the colonialists thus promoted English and French as official administrative languages. 3. Dearth of text books in Arabic at primary and secondary level. Moreover there are no well equipped language laboratories to develop Arabic in Nigeria. 4. The stranded economic state of the country. 5. The scarcity of Arabic press houses in Nigeria and lack of interest in the Arabic language by the general public. A few suggestions to promulgate and develop the Arabic language in Nigeria are as follow: a. Students’ attention needs to be drawn towards the Arabic language as a modern and rich language. For this all the available resources need to be exhausted. b. The Arabic language centres should be developed where proficient teachers should teach Arabic. The present faculty for Arabic should do refresher courses in Arabic to enhance their capabilities. c. The availability of Arabic text books to cater the various levels of the students is made possible. A committee should monitor the overall process and progress of Arabic language in Nigeria. d. The Nigerian government should play an active role in the development and progress of the Arabic language in Nigeria

Fem Based Numerical Solutions of Incompressible Flows in a Finned Double-Pipe

The aim of the present work is to numerically simulate laminar forced convection in the fully developed flow through the finned annulus of a double-pipe subject to constant heat flux boundary condition (H1) and to investigate the effects of various geometric designs and arrangements of fins on the thermal performance of the finned duct. The designs of the finned annulus considered in the present work are longitudinal triangular fins with equal and unequal heights, and fins with variable fin-tip thickness. The governing partial differential equations of the convection problems are numerically solved by employing the finite element method (FEM) and the discontinuous Galerkin finite element method (DG-FEM). The hydraulic and thermal characteristics like the friction factor, the Nusselt number and the surface flow area goodness factor are studied against various geometric design parameters. Moreover, the validity of various assumptions in simpler models is investigated in more realistic models. The behaviour of the flow and thermal characteristics has been found to match with the physics of the problems and therefore, substantially validates the present simulations. For highly conductive triangular fins of equal heights, the results show upto more than 4 i times gain in the heat transfer rate relative to increase in the pressure loss because of the attachment of fins when the equivalent diameter is used as the characteristic length. Using fins in two groups of different heights, the velocity and temperature distributions can be significantly altered to have more favourable flow and thermal characteristics. For specified values of the number of fins, the thermal conductivity ratio and the size of the inner pipe, a combination of unequal heights of the two fin groups rendering maximum heat transfer coefficient exists in many cases. Such combinations of fin heights are very useful in reducing pressure loss and promoting heat transfer rate. The present study recommends the use of unequal fin heights depending on the cost, weight and heat duty requirements. For longitudinal fins with specified base angle and variable tip thickness, no single tip-angle renders maximum values of the heat transfer coefficient and surface flow area goodness factor for all values of the height and number of fins indicating that the choice of fin-tip angle strongly depends on the number of fins and their height. It is found that highly significant gain in the Nusselt number can be achieved by considering variation in the thickness of fin tip for various values of the conductivity parameter. This gain for trapezoidal fin is upto 38% over the triangular fin and 163% over the rectangular fin. Therefore, the consideration of the fin-tip thickness as a design parameter is significantly important for the optimal design of the present heat exchange system. All the computed results are in excellent comparison with the available literature results.