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Ostrowski-Gruss-Cebysev Type Inequalities for Functions Whose Modulus of Derivatives are Convex

Thesis Info

Author

Muhammad Rizwan

Supervisor

Nazir Ahmad Mir

Department

Department of Mathematics

Program

BS

Institute

COMSATS University Islamabad

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2006

Thesis Completion Status

Completed

Subject

Mathematics

Language

English

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676720732251

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قاری حفظ الرحمن

قاری حفظ الرحمن
قاری حفظ الرحمن صاحب کم وبیش تیس برس سے دارالعلوم دیوبند میں درسِ تجوید وقراء ت کی خدمت انجام دے رہے تھے اب ادھر ایک عرصہ سے اس شعبہ کے صدر تھے۔ انڈوپاک کے قراء میں ان کی شخصیت بڑی ممتاز اورنمایاں تھی۔ چنانچہ عام طور پرانہیں شیخ القراء کہاجاتا تھا اورواقعی وہ اس کے مستحق تھے۔ فن میں مہارت وبصیرت کے علاوہ قدرت نے آواز بھی ایسی پرسوز وگداز دی تھی کہ جہاں کہیں پڑھتے تھے معلوم ہوتاتھا کہ لحنِ داودی کے نغمے برس رہے ہیں اور فضا سرتاپا سماعت بن گئی ہے۔فالج میں کئی برس سے مبتلا تھے لیکن کام چل رہا تھا۔ آخروقت موعود بھی آپہنچا اور رباب ہستی بے نغمہ وصوت ہوگیا۔اﷲ تعالیٰ ان کی قبرٹھنڈی رکھے اورمغفرت وبخشش کی نعمتوں سے نوازے۔
[فروری ۱۹۶۹ء]

Time Management in Islam

The concept of time management is practice from decades. Time management has grabbed the attention of many scholars and there were many writings and analysis made. Time management is an important issue of human life as you cannot add more hours in a day, you have to plan yourself with the limitation of time. Islam focuses on the time management so that a believer should balance his life (spiritually, socially and economically). Islamic teachings are dynamic in their approach, they teach Muslim from every aspect of life and allow them to spend their time productively. Islam’s main focus is on the planning and organizing the time and our main focus is to depict what Islam teaches about time management and how it is practiced in the world. Then conventional methods of management are similar to the Islamic teachings.

Effects of Hypo and Iso - Tonic Intravenous Maintenance Fluids on Plasma Sodium Level in Hospitalized Children. a Double Blind Randomized Clinical Trial

Background: Hypotonic fluids are widely used in pediatrics and are the standard of care when giving maintenance fluids. However, there are several reports of risk of iatrogenic hyponatremia attributed to this practice in the literature. There is therefore uncertainty as to whether isotonic fluids would be the more appropriate fluid. Objectives: The primary objective was to compare effects of hypotonic and isotonic maintenance fluids on plasma sodium levels in children between the ages of 2 months and 15 years admitted at Aga Khan University Hospital (AKUH). The secondary objective was to compare effects of hypotonic and isotonic maintenance fluids on other plasma electrolytes and need for additional fluid boluses in the same population of patients. Study design: Double blind randomized controlled trial of isotonic vs hypotonic maintenance intravenous fluids in children. Methods: One hundred and fifty two children with serum sodium levels between 130-150 mEq/L who required intravenous maintenance fluids were randomized to receive either 0.9% dextrose normal saline or hypotonic maintenance fluids as per normal practice. Hypotonic solution which was used in the control group, had sodium concentration between 20 and 100 mEq/L corresponding to 4mEq/Kg/24hr. Children aged between 2 months and 15 years requiring hospitalization at AKUH were eligible only when their physician prescribed intravenous maintenance fluid therapy. Patients with chronic or acute kidney failure/disease, at risk of cerebral edema (diabetic ketoacidosis or cranio- encephalic trauma), neonates (age <2month >old), sickle cell, with plasma sodium levels at hospital admission <130mEq/L or >150mEq/L, and/or cerebral malaria or severe malnutrition ( Z score <-3) and who refused to consent were excluded. Children were clinically monitored as per standard protocol. Blood electrolytes were obtained before commencement of v infusions to determine those eligible for inclusion and repeated after 24 hours or when fluids were stopped whichever was earlier. Any undesirable side effects were documented and managed as per standard practice. Primary outcome: Proportion of children with hyponatremia at 24hours after administration of maintenance fluids. Results: A total of 152 subjects were enrolled after obtaining informed consent. Of these, 78 and 74 were randomized to isotonic and hypotonic groups respectively. Overall, 25 (16.4%) patients dropped out of the study for various reasons. Hyponatremia occurred in 16.4% of the patients at 24 hours and a higher proportion of patients (23%) in the hypotonic group experienced hyponatremia compared to the isotonic group (10.3%) that was statistically significant (p = 0.03). The relative risk of