7. Al-A’raf /The Elevated
I/We begin by the Blessed Name of Allah
The Immensely Merciful to all, The Infinitely Compassionate to everyone.
07:01
Alif. Lam. Mim. Sad.
07:02
This Book - The Qur’an - is being sent down on to you O The Prophet.
So let there be no distress in your heart due to this.
While you are to warn the disbelieving audience through it,
this is a Reminder to the believers.
07:03
O The People!
Follow what is being sent down on to you by your Rabb - The Lord, and
do not follow the whims of others or take others for worship apart from HIM.
Yet little you understand and follow.
07:04
And how many of habitations have WE destroyed before!
So it happened that OUR Punishment came upon them suddenly - either by the night or
while they were in the midst of their noon-nap.
07:05
And when OUR Punishment finally overtook them, they had nothing to say, except crying out:
‘We have indeed been unfair’ to ourselves by sinning!
07:06
It will be during the Time of the Final Judgment that WE will certainly question those to whom WE had assigned OUR Messengers if they followed their teachings, and
WE will also question the Messengers if they had conveyed OUR Message and how did the people respond to it.
07:07
WE will definitely recount their deeds and dealings to them with knowledge and accuracy,
for WE were never absent from their midst!
07:08
And at The Time of the Final Judgment, the weighing of their deeds and dealings will be
fair and just.
Then whose deeds of righteousness will be heavier than their bad deeds on the scales,
those –...
The day to day interaction amongst people plav a key role in shaping of a person's social character and persona. Indeed Qur’an and Hadith have treasured guidance regarding the social life of man - as to groom and equip mankind to lead a positive and constructive social life in an Islamic society sociology as a discipline of knowledge borrows its roots and furnishing from the five pillars of Islam. They strengthen a man's character inwardly and outwardly - so as to allow a man to lead a peaceful and prosperous life. Islam and the principles of Qur’an advocate a social life that keeps its balance between the material and the spiritual aspect of life. It furnishes man with such qualities that he is not only successful in this life but in hereafter as well. This article is an effort to probe the sociological perspective of Islamic teachings - and its impact upon a man's social life
In this dissertation, a new heuristic computational intelligence technique has been developed for the solution for fractional order systems in engineering. These systems are provided with generic ordinary linear and nonlinear differential equations involving integer and non-integer order derivatives. The design scheme consists of two parts, firstly, the strength of feed-forward artificial neural network (ANN) is exploited for approximate mathematical modeling and secondly, finding the optimal weights for ANN. The exponential function is used as an activation function due to availability of its fractional derivative. The linear combination of these networks defines an unsupervised error for the system. The error is reduced by selection of appropriate unknown weights, obtained by training the networks using heuristic techniques. The stochastic techniques applied are based on nature inspired heuristics like Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) algorithm. Such global search techniques are hybridized with efficient local search techniques for rapid convergence. The local optimizers used are Simulating Annealing (SA) and Pattern Search (PS) techniques. The methodology is validated by applying to a number of linear and nonlinear fraction differential equations with known solutions. The well known nonlinear fractional system in engineering based on Riccati differential equations and Bagley- Torvik Equations are also solved with the scheme. The comparative studies are carried out for training of weights for ANN networks with SA, PS, GA, PSO, GA hybrid with SA (GA-SA), GA hybrid with PS (GA-PS), PSO hybrid with SA (PSO-SA) and PSO hybrid with PS (PSO-PS) algorithms. It is found that the GA-SA, GA-PS, PSO-SA and PSO-PS hybrid approaches are the best stochastic optimizers. The comparison of results is made with available exact solution, approximate analytic solution and standard numerical solvers. It is found that in most of the cases the design scheme has produced the results in good agreement with state of art numerical solvers. The advantage of our approach over such solvers is that it provides the solution on continuous time inputs with finite interval instead of predefine discrete grid of inputs. The other perk up of the scheme in its simplicity of the concept, ease in use, efficiency, and effectiveness.