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Magic and Anti Magic Type Labelings of Graphs

Thesis Info

Author

Kinza Siddique

Supervisor

Kashif Shafique

Program

Mphil

Institute

Riphah International University

Institute Type

Private

Campus Location

Faisalabad Campus

City

Faisalabad

Province

Punjab

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Page

v, 34 . : ill. ; 30 cm.

Subject

Mathematics

Language

English

Other

Submitted in fulfillment of requirements for the degree of Master of Philosophy in Mathematics to the Faculty of Basic Sciences and Humanities; Includes bibliographical references; Thesis (M.Phil)--Riphah International University, 2019;; Call No: 510 KIN

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676711272034

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محمد عباس اثرؔ

محمد عباس اثرؔ
محمد عباس اثرؔ(۱۹۰۱ئ۔پ) کا اصل نام محمد عباس اور اثرؔ تخلص کرتے تھے۔ اثر ؔراولپنڈی میں پیدا ہوئے۔ سیالکوٹ میں بزمِ افکار کا احیا کیا اور اس بزم کے صدر بنے۔ اثر سیالکوٹ میں حلقہ اربابِ ذوق کے ممبر بھی منتخب ہوئے۔ آپ نعت‘ غزل‘ نظم اور قطعات لکھتے تھے ۔(۳۴۰) اثر روایتی شاعر ہیں۔ ان کی شاعری توحید و رسالت‘ یاسیت اور دردو غم میں ڈوبی ہوئی ہے۔ کچھ اشعارملاحظہ ہوں:
آج کچھ اور حال ہے دل کا

بجھ رہا ہے چراغ محفل کا

اک بگولہ اٹھا سرِ منزل

اڑ رہا ہے غبار منزل کا

غم کی کونپل نگاہ سے پھوٹی

کوئی ٹوٹا ہے آبلہ دل کا

آندھی اٹھی اثرؔ بڑھائو قدم

بجھ رہا ہے چراغ منزل کا
(۳۴۱)

کیا سناتے انہیں ہم حال سنایا نہ گیا

درد محسوس تو ہوتا تھا دکھایا نہ گیا

اور تو رنج کئی ہم نے اٹھائے لیکن

رنج بے مہری احباب اٹھایا نہ گیا
(۳۴)۲

شکستِ غم آرزو درد بن کر

میرے دل کو رہتا ہے اکثر لپیٹے

اثر میں نے اشعار میں ضبطِ غم سے

سلگتے ہوئے چند آنسو سمیٹے
(۳۴۳)
جب نہیں تھے بحرو بر‘ انجم زمین و آسماں
تھا فقط حسنِ ازل یعنی خدا کی ذات تھی
کائنات حسن جب پھیلی تو لا محدود تھی
اور جب سمٹی محمدؐ مصطفٰے کی ذات تھی (۳۴۴)

کارڈز میں کفالہ کی شرعی و فقہی حیثیت اور عصرِ حاضر کے مالیاتی اداروں میں اس کا عملی تطبیق

Cards are the plastic money of current era, and Kafala by means of their warranty is little much we know about. In this article we will discuss the necessity, use and framework of Kafala for the Debit & Credit cards issued by banks and financial institutes, in the light of Qur’an and Sunnah, Ijma-e-Umma and religious researchers.

Effect of Additional Lumbosacral Corset on the Outcome of Patients With Non-Specific Acute Low Back Pain at the Aga Khan University Hospital, Nairobi

Introduction: Low back pain (LBP) is a common problem world over affecting 60-90% of the population in their lifetime. It is a leading reason for hospital admission, healthcare spending, workplace absenteeism and years lived with disability. Up to 90% of patients suffering from low back pain do not have a serious pathology warranting imaging or further intervention besides symptom relief. These are categorized as having non- specific low back pain. This has a good prognosis running a short course of 3 to 6 weeks. The management of non-specific acute LBP entails analgesia and non-pharmacologic interventions (back school and physical therapy). Many modalities of physical therapy are often employed for non-specific acute LBP. The use of lumbosacral corset as a physical therapy for non-specific acute LBP has not been clearly supported with scientific evidence. However, it is commonly prescribed for this category of patients. It is important to assess the effect of this modality on the outcome of patients with non- specific acute LBP. Objective: To assess the outcome (change in back specific disability) of patients with non-specific acute low back pain treated with a lumbosacral corset in addition to a standard analgesic protocol compared to those on a standard analgesic protocol alone over a 3- week duration at the Aga Khan University Hospital, Nairobi, Kenya. Methods: A two-arm single blinded randomized controlled trial was carried out involving 82 consecutively sampled patients. Patients were randomized to analgesic protocol alone or analgesic protocol and a lumbosacral corset and followed up weekly for three weeks. Back specific disability was assessed using the Oswestry Disability Index (ODI). The primary outcome was the mean change in the ODI score between the two arms. We analyzed the data by use of repeated masures ANOVA. Results: Seventy-nine patients were analysed. The baseline characteristics were similar. There was a significant effect of time on the ODI (F=(1.38, 106.56)=207.89, P=.000). There was a statistically significant difference in ODI score between the two arms favouring the intervention arm ( F (1, 27)=4.23, p=.043). The difference in pain score and days off duty was not statistically significant. The number of days off duty was comparable between the two arms. Compliance to use of lumbosacral corset was good with mean of 1 day off the corset. The maximal change in both ODI and pain score occurred between the first and second reviews indicating maximum clinical improvement with the first week. Conclusion: Compared