3. Aal-‘Imran/Family of Imran
I/We begin by the Blessed Name of Allah
The Immensely Merciful to all, The Infinitely Compassionate to everyone.
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Alif. Lam. Mim.
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Allah - The One and Only God.
There is no entity of worship apart from HIM.
Allah - the Ever-Living, the Eternal,
Allah – the Self-Subsisting, giving life and sustenance to every existence.
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HE has sent down on to you – O The Prophet - The Book with the Truth
in confirmation of what was before -
HE had sent down both the Torah and the Injeel/Bible, beforehand -
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- as a source of guidance for people, and
HE has now revealed a standard for distinguishing right from wrong – The Qur’an.
As for those who deny and belie the Messages of Allah deliberately, for them will be a punishment, most severe,
for Allah is All-Powerful and Immensely Vengeful.
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a. Truly, nothing is hidden from Allah within the terrestrial world and the celestial realm.
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It is HE WHO forms and gives you a shape in the womb of your mother as HE Wills.
There is no entity of worship apart from HIM.
HE is All-Powerful and All-Wise.
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It is HE WHO has sent down The Book of the Qur’an on to you, O The Prophet.
Among its Messages are some literal.
These Messages are the Foundation of the Book.
However, there are also some Messages which are metaphorical and symbolic - open to a variety of meanings and interpretations.
Those who are twisted of mind and infected with viciousness look for Messages which are metaphorical and symbolic,
Background and Aim: Sacroiliac joint pain is localized in the region of sacroiliac joint which can be increased by stress and provocation tests of the joint. Aim of this study was to compare two interventions for reduction of sacroiliac joint pain.
Methodology: Study design was randomized clinical trial. Study was conducted in bajwah hospital and children polyclinic Lahore. Duration of study was six months. The total sample size was 64 patients. Females of 20-50 years old with diagnosed sacroiliac joint pain were included in this study. Compression and distraction objective tests were performed for further confirmation of sacroiliac joint pain. Purposive sampling technique was used. Numeric pain rating scale (NPRS) and Oswestry low back disability questionnaire (ODI) were used to collect the data. Exclusion criteria was females with fractures and other abnormalities of spine.
Results: Results showed that both groups were equal when assessed on baseline by normality test colmogorov-smirnova. Independent t test was applied to compare the mean value of NPRS. Pretreatment mean of NPRS scale for both the regional treatment and standard treatment groups was 7.After 4 weeks NPRS of regional treatment group was 4 and of standard treatment group was 7. The mean value of pretreatment ODI for regional treatment group was 33 and for standard treatment group was 34.After 4 weeks ODI of regional treatment group was 24 and mean of standard treatment group was 27.
Conclusion: It is concluded that after giving equal sessions to both groups when results were assessed regional treatment is more effective than standard treatment.
The study of Qualitative Analysis of rational difference equation is very important. However, in Physics, Economics and Biological sciences difference equations are extensively used. Qualitative behavior includes global attractivity, bounded character and periodicity. The motivation is to study the Dynamics of some higher order rational difference equations. In this thesis we have studied the behavior of solutions of some higher order rational difference equations. To confirm the proved results we have used mathematical program Matlab to give graphical examples by assigning different numerical values to initial values. The first chapter presents brief introduction to the problem of study, its objectives and methodology used to achieve the goal. In the second chapter we have presented a comprehensive form of literature review related to the problem understudy. The current literature is discussed in detail and results are summarized to draw conclusions and further directions. The third chapter is preliminaries, showing notions and basic definitions which are associated with this study. In chapter four, we have presented our main results with their proofs for rational difference equation of order twenty 2 9 19 9 19 , 0,1,2,...nnn nn z z z n zz - +- -- b =a + = g +d With initial conditions 19 18 17 16 15 14 13 , , , , , , , z z z z z z z - - - - - - - 12 11,, zz -- 10,z - 9 8 7 6 5 4 3 2 1 0 , , , , , , , , , z z z z z z z z z z R+ - - - - - - - - - Î and the coefficients , , , a b g d are constants. We obtained some special cases of this equation. The numerical verification and comparison of each graph is also included in this chapter. In chapter five, we have studied the global stability of the positive solutions and periodic character of the difference equation 0 1 2 3 1 0 1 2 4 5 6 7 n t n l n m n p n n n k n s n t n l n m n p b z b z b z b z z z z z b z b z b z b z - - - - + - - - - - - + + + =a +a +a + + + + x With non-negative initial conditions 1 1 0 , ,..., , z z z z -m -m+ - where { } max , , , , , k s t l m pm= and the coefficients 0 1 2 0 1 , , , , , bba a a 2 3 4 , , , b b b 5 6 7 ,, b b b R+ Î . Numerical examples are also given to confirm the obtained results.