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Online Signature Verification System Using Angle Information

Thesis Info

Author

Mohamad Omer Mirza Ali Hussain

Supervisor

Mustafa Khattak

Department

Department of Computer Science

Program

BS

Institute

COMSATS University Islamabad

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2008

Thesis Completion Status

Completed

Subject

Computer Science

Language

English

Added

2021-02-17 19:49:13

Modified

2023-01-07 20:57:56

ARI ID

1676720002414

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33. Al-Ahzab/The Allied Factions

33. Al-Ahzab/The Allied Factions

I/We begin by the Blessed Name of Allah

The Immensely Merciful to all, The Infinitely Compassionate to everyone.

33:01
a. O The Prophet!
b. Remain conscious of Allah - The One and Only God of everyone and everything, and
c. do not yield to pressures brought about by the disbelievers and the hypocrites.
d. Surely Allah is All-Knowing of what they say and what their motives are and All-Wise.

33:02
a. Instead, follow what is being revealed on to you from your Rabb - The Lord.
b. Surely Allah is All-Aware of whatever you do: your deeds, dealings, and motives.

33:03
a. And trust Allah.
b. And Allah is Sufficient for you as a Guardian - to look after your affairs.

33:04
a. Allah has not placed two hearts in any person’s body.
b. And just as HE has never made your wives - whom you declare to be as your mothers’ backs - your biological mothers,
c. And, so too, HE has never made your adopted sons to be your biological sons.
d. These are merely phrases you utter from your mouths,
e. whereas Allah Speaks the truth in this and all matters.
f. And thus HE Guides you along the way of truth.

33:05
a. As for your adopted children, address them by the names of their biological fathers.
b. That is more just in the Sight of Allah.
c. But if you do not know the names of their biological fathers, then they are your brethren in faith and your protégés - so observe the due relationship within that social framework.
d. However, you will not be blamed for...

ظاهرة الحذف في الجملة الفعلية دراسة نحوية دلالية في صحيح البخاري

Arabic language is one of the most developed languages of the world. It has a number of grammatical phenomenon, Omissions is one of them.                                                   Omission of any part of a sentence creates ambiguity to fully understand its meanings. Due to this phenomenon Arabic has a specific cause when viewed in the light of Semantic analysis. This study deals with the phenomenon of dropping or omission of the part of a speech. In article under review, I have explained as to how an omission becomes requirement of the text to reflect a particular meaning. I have chosen semantic study of three basic parts of verbal sentence that is Verb, Subject and Object to unveil this phenomenon in Sahih Al Bukhari. This clearly explains the significance of omission of words in the sayings of Holy Prophet Muhammad (Peace Be Upon Him).              

Gravitational Collapse in F R, T Modified Theory of Gravity

In this thesis, we investigate gravitational collapse in f(R, T) modified theory of gravity. We focus on the study of gravitational collapse of spherically symmetric and FriedmannRobertsonWalker(FRW) metrics for both dust and perfect fluid cases. We also explore the gravitational collapse of 5D spherically symmetric spacetime in f(R, T) gravity and extend this work to N-dimensional spherically symmetric spacetimes. Furthermore, we explore the effect of electromagnetic fields on the gravitational collapse in f(R, T) modified theory of gravity. Firstly, we discuss the gravitational collapse of spherically symmetric spacetime for both dust and perfect fluid cases in f(R, T) gravity. For this purpose, we consider the spherically symmetric spacetime as the interior region and Schwarzschild metric as the exterior region. The junction conditions between the exterior and interior regions are found by matching the exterior and interior regions. The field equations are solved by taking the assumptions that the Ricci scalar as well as the trace of energy-momentum tensor are constant, for a particular f(R, T) = R + 2f(T) model. We calculate the gravitational mass of the collapsing system. Also, we discuss the apparent horizons and their time formation for different possible cases. It is shown that the term f(R0, T0) behaves as a source of repulsive force and consequently it slows the collapse of matter. We then discuss gravitational collapse in the context of f(R, T) gravity by taking FRW metric in the interior and schwarzschild background in the exterior regions of the star. We solve the field equations by taking the assumption of constant curvature and constant trace of energy-momentum tensor. We found that the terms 2λρ0−f(R0, T0) and f(R0, T0)+2λ(p0−ρ0) behave as cosmological constant for both dust and perfect fluid cases. Next, we discuss spherically symmetric perfect fluid collapse in the frame work of f(R, T ) modified theories of gravity using a five dimensional background. For this reason we consider the five dimensional spherically symmetric metric as the interior region and a five dimensional Schwarzschild metric as an exterior region. The junction conditions between the exterior and interior regions are discussed. By taking above mentioned model, the corresponding field equations are evaluated for both marginally bound L(r) = 1 and non-marginally bound L(r) 6= 1 cases. We find the apparent horizons and their time formation for different possible cases. It has been concluded that the term involving λ plays double role: it speeds up the collapse in region where ρ0 < 4p0; and it slows down the collapsing of matter when ρ0 > 4p0. Furthermore, we extend this work to the N-dimensional case and find that the collapse process becomes faster in the region ρ0 < (n + 1)p0 and slower in the region ρ0 > (n + 1)p0. Furthermore, it is noted that our results reduce to previously published results [80] found in GR for λ = 0. Finally, we analyze the effect of electromagnetic field on the gravitational collapse in f(R, T ) modified theories of gravity by taking spherically symmetric metric in the interior region and Reissner-Nordstrom ¨ metric in the exterior region. We discuss the issue of apparent horizons. We conclude that the end state of a star, in the presence of electromagnetic fields in the f(R, T ) gravity framework, is a black hole. It is shown that the collapse is slower in the region ρc < 3pc and faster in the region ρc > 3pc. Moreover, for λ = 0, our results correspond to those of GR found previously[120].