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Regularity and Stanley Conjecture on Sequentially Cohen-Macaulay Monomial Ideals

Thesis Info

Author

Sarfraz Ahmad

Supervisor

Dorin Popescu

Department

Abdus Salam School of Mathematical Sciences

Program

PhD

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2004

Language

English

Other

51-GCU-PHD-SMS-04

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676729501488

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ارشاد ڈیروی دی منقبت نگاری

ارشاد ڈیروی دی منقبت نگاری

شاعری وچ حمد، نعت ، منقبت تے مدح تعریف و توصیف لئی ورتے جاندے نیں تے لغوی  اعبار نال ہم معنے نیں ، پر اصطلاحی معنی وکھو وکھ نیں تے ایہناں دی ورتوں ممدوح دے اعتبار پاروں ہوندی اے، جویں جے ممدوح ربی ذات ہووے تاں حمد اے ، جے رسول اللہﷺ دی ذات ہووے تے نعت، جے کر صحاباکرامؓ   ، اہل بیعتؑ تے بزرگانِ دین نیں تے ایہناں لئی منقبت دا شبدورتیا جاوے گا، تے جے کر ہور کوئی مشہور شخصیت ہووے تے اوس لئی مدح شبددی ورتوں کیتی جاوے گئی، ڈاکٹر رفیع الدین اشفاق لکھدے نیں!

’’اصطلاح میں اگر آنحضرتﷺ کے سوا کسی دوسرے بزرگ یا صحابی یا امام کی تعریف کی جائے تو اسے منقبت کہیں گئے‘‘۔

اعجازاللغات جدید ، دے ص ا۶۸۵ اُتے لکھیا اے!

’’مناقب(م، ن، قب) مذکر، منقبت کی جمع اہل بیعت یا صحابہ کی مدح ، تعریف خوانی، منقبت ، تعریف وتوصیف ، صفت وثناء ، اصلاح میں وہ تعریف جو اہل بیعت یا صحابہؓ کی شان میں ہو‘‘

وارث سرہندی اپنی لغت اندر لکھدے نیں!

’’منقبت:(۱)کوئی چیز جس پر انسان فخر کرے یا جو اسے ممتاز بنائے ۔‘‘

(۲)تعریف، توصیف ، ثناء خصوصاً اہلِ بیعت اور صحابہ کی ۔

منقبت، صفت ، تعریف نظم وچ ۔

وکھو کھ زباناں وچ منقبت ،لئی ایہہ شبدور تے جاندے نیں!

’’پشتو، پنجابی تے کشمیری وچ ’’صفت‘‘، سندھی ’’منقبت‘‘ ، بلوچی وچ ’’سپت‘‘۔

منقبت دا سرنانواں صرف اوہ وڈیاں دینی ہستیاں ای بن سکدیاں نیں ، جہناں وچ ایہہ دو خوبیاں موجود ہوون!

۱۔ اوہ قوم دی  پیشوائی دا فرض ادا کرسکدے...

Awareness of the Benefits of Strategic Planning For Educational Institutions

This article aims to determine the benefits of strategic planning for Islamic educational institutions. The method used is a literature review, by collecting various supporting article references from national journals. The results of this study explain, if strategic planning can be made and implemented correctly and supported by leadership commitment, then strategic planning can provide benefits for Islamic educational institutions, including: (1) Strategic planning can strengthen the "critical mass" into a team that compact, because it is directed to adhere to basic values, main systems and common goals, (2) Strategic planning can help to optimize the performance of Islamic educational institutions, (3) Strategic planning can help leaders to always focus attention and adhere to a framework for overall improvement efforts continuous, (4) Strategic planning provides guidelines for daily decision making, and (5) Strategic planning always makes it easy to measure the organization's progress in achieving its goals of improving quality and productivity. The benefits of educational strategic planning are things that need to be considered to create quality Islamic educationh

Boundary Value Problems for Fractional Differential Equations: Existence Theory and Numerical Solutions

Fractional calculus can be considered as supper set of conventional calculus in the sense that it extends the concepts of integer order differentiation and integration to an arbitrary (real or complex) order. This thesis aims at existence theory and numerical solutions to fractional differential equations. Particular focus of interest are the boundary value problems for fractional order differential equations. This thesis begins with the introduction to some basic concepts, notations and definitions from fractional calculus, functional analysis and the theory of wavelets. Existence and uniqueness results are established for boundary value problems that include, two–point, three–point and multi–point problems. Sufficient conditions for the existence of positive solutions and multiple positive solutions to scalar and systems of fractional differential equations are established using the Guo–Krasnoselskii cone expansion and compression theorems. Owning to the increasing use of fractional differential equations in basic sciences and engineering, there exists strong motivation to develop efficient, reliable numerical methods. In this work wavelets are used to develop a numerical scheme for solution of the boundary value problems for fractional ordinary and partial differential equations. Some new operational matrices are developed and used to reduce the boundary value problems to system of algebraic equations. Matlab programmes are developed to compute the operational matrices. The simplicity and efficiency of the wavelet method is demonstrated by aid of several examples and comparisons are made between exact and numerical solutions.