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An-Algorithm for Discrete Logarithm Problem

Thesis Info

Author

Habib Ur Rehman Khan

Supervisor

Sardar Mohib Ali Khan

Department

Department of Mathematics

Program

RMT

Institute

COMSATS University Islamabad

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2016

Thesis Completion Status

Completed

Subject

Mathematics

Language

English

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676720661940

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غزل

بے رنگ ریگ زار میں جینا پڑا ھمیں

دشمن کے اختیار میں جینا پڑا ھمیں

تاریکیوں میں ایک کرن بھی نہ مل سکی

لگتا ھے جیسے غار میں جینا پڑا ھمیں

جیون کی الجھنوں کونہ سلجھا سکے کبھی

اک عمر خلفشار میں جینا پڑا ھمیں

جب یہ کھلا فریب ھے یہ ساری کائنات

مرنے کے انتظار میں جینا پڑا ھمیں

اس کے لئے شکست بھی ھم نے قبول کی

اک روز اپنی ھار میں جینا پڑا ھمیں

اڑتی رھی ھے دھول دلوں سے نگاہ تک

تنہا اسی غبار میں جینا پڑا ھمیں

ھم نے سلگ سلگ کے گذاری ھے زندگی

اک آگ کے حصار میں جینا پڑا ھمیں

اک پل جہاں ٹھہرنا گوارا نہ تھا نوید

برسوں اسی دیار میں جینا پڑا ھمیں

The Creation of Universe in the Light of Quran

The Quran describes itself as a book of guidance. Sura l-Baqarah, verse (67) states:   قَالَ أعُوْذُ بِاللّٰہِ اأنْ أَکُوْنَ مِنَ الْجَھِلِیْنَ۔He said, "I seek refuge in Allah from being among the ignorant. "The Qur'an does not render a coordinated description of the universe Creation and how it will end. In lieu of a continuous story of creation and cease, there are verses dispersed all over the Quran which deal with certain aspects of the universe’s Creation and end. These scattered verses provide information on the sequential events marking its development with varying degrees of detail. The primary objective of this paper is to analyze the Quranic Concept of Universe. The idea of steady state by Hermann Bondi, Thomas Gold, and Fred Hoyle (1948) suggests that this universe is created with big bang, it is expanding and it would be the same, always static, always contracting or always expanding with no end. This is in contrast with the pulsating theory of the accelerating expansion will result in weak gravity which will cause the universe to contract. When this contraction will condense everything back into one single point, this rapid compression will lead to another explosion (often referred to as mini big bang). As a result of which the universe will start expanding again. Hence it results in a pulsating universe in which there is alternate expansion and contraction of universe.  

جدید اسلامی بینکادی میں اسلامی طریق ہاے تمویل کا اطلاق

Economic activities of man encompass most of his time and energy. All his life, from dawn to dusk, man keeps striving for a suitable living. Economic activities are linked with banking system in present era. But, unfortunately, the banking system across the world, by and large, does not base on the Islamic economic rules. In this research thesis such prospects have been discussed to see what guidance does Islam provides for the matters concerning to economics. The following question have been taken into account: What is the importance of wealth in Islam? What are the chief centers of wealth today? Do the economic activities of these financial centers consider the religious decorum? If not then does Islam provide us substitution for them? Truly, Islam provides a long list of substitutions, but in this thesis, the study has been confined to Musharka, Mudraba, Murabaha and Ijara, only. This thesis consists of five chapters. The first chapter discusses the concept of wealth in Islam, conventional and Islamic banking while the second to the fifth chapters describe above mentioned Islamic modes of financing. Initially, in each first section of all the chapters, rationales of these modes of Islamic finance have been discussed, relatively; in the second sections of each chapter, their conditions and rules have been discussed, whereas, the third section of each chapter consists of discussion on the applications of these modes of Islamic finance such that what Islamic mode of finance can provide substitution for what instrument of conventional banking; moreover, in the present time Islamic banking has been given a review, its limitations and shortcomings are discussed to see how they can be removed and improved. It has been discussed that what are the fundamental resources and Islamic methodology of Islamic banks in the present time and how the best implementation can influence them effectively. This study may help to solve some of the problems in the field of Islamic economics with the grace and the benevolence of Allah Almighty.