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Recurrence Relation for Jones Polynomials

Thesis Info

Author

Abdul Rauf Nizami

Department

Department of Mathematics

Program

PhD

Institute

Government College University

Institute Type

Public

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2004

Subject

Mathematics

Language

English

Other

CD is also available at PG Library

Added

2021-02-17 19:49:13

Modified

2023-01-07 06:27:56

ARI ID

1676711039045

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رکھیے سجناں نال رسائی

رکھیے سجناں نال رسائی
چنگی ہوندی نہیں لڑائی
ساڈے نال ناں دکھیں ہوویں
اساں تاں پنڈ دکھاں دی چائی
پھر سجن نوں گھر بلاویں
پہلے دل دی کر صفائی
لوکاں دے نال ہسے کھیڈے
سانوں ڈٹھا نظر چرائی
عشق دی منزل اوکھی گھاٹی
جس وی پائی مر کے پائی
رکھنا بھید مرد دا جوہر
موہوں نکلی گل پرائی
پتر اپنا سوہنا لگے
چنگی لگے رن پرائی
پھلاں وانگوں جیوڑا ہویا
دل وچ یاد سجن دی آئی

الحرية الدينية فى الاسلام

ALLAH has created the mankind as a rational being. He created mankind and Jinns for His worship and He sent mankind upon Earth so that they inhabit it with the complicated tangle of faithfulness in God and yet do the worldly deeds. He will hold accountable each individual for what he did. This test would not remain valid if not accompanied with necessary freedom of action and belief. Freedom is actually bestowed upon mankind by God Himself and it will be totally wrong to maintain it as a modern achievement that came after western, or any other enlightenment. It is not that a human or a group of them or any constitution or charter can truly give or grant freedom. Most important of all this is freedom of Religion. There is no compulsion in Religion, 2: 256. The early Muslims remained steadfast to this principle in all of their Ghazvat and they granted freedom of religious belief to their subjects. Religious sites and houses of worship were safeguarded against any harm. Islam and religious freedom are not put together. The following article will examine the Issue of Freedom of Religion in Islam and will try to remove misunderstandings regarding the issue.

Selection Principles and Weaker Forms of Menger, Rothberger and Hurewicz Properties in Topology

In this research work, our focus is to study certain covering properties in topological spaces by using semiopen covers and in bitopological spaces by using pairwise open covers and their generalizations. This work deals with Menger type, Rothberger type and Hurewicz type covering properties. The notions of semiMenger (semiRothberger), almost semiMenger (almost semiRothberger), star semiMenger (star semiRothberger), almost star semiMenger (almost star semiRothberger) and strongly star semiMenger (strongly star semiRothberger) are defined and corresponding covering properties are investigated. Furthermore, the concepts of semiHurewicz, almost semiHurewicz and star semiHurewicz spaces are introduced and their properties are studied. Relations between the newly defined notions and classical selection principles are established. Similarities and differences among each other are discussed. We have also studied the prototypes of some selection principles using p-open covers in bitopological spaces.