L4 Continuous Random Variables

There is a tremendous amount of material in the Quran and Hadeeth related to the virtues of knowledge. All of this material is to motivate us to be enthusiastic in our acquisition of knowledge.

2:31 And He taught Adam all the names …

2:34 And when We said unto the angels: Prostrate yourselves before Adam, they fell prostrate, all save Iblis. He demurred through pride, and so became a disbeliever.

Allah T’aala created Adam A.S. and gave him knowledge, which was one of the reasons for his superiority to the angels. It was to acknowledge this superiority that the angels were ordered to prostrate before Adam. It was the refusal to acknowledge this superiority that led to the rebellion of Iblees. So knowledge is one reason why human beings are superior to angels.

Similarly, the Prophet Mohammad S.A.W. stated that the superiority of the person with knowledge over the worshipper is like the superiority of the Prophet himself over an ordinary Sahabi. (Hadeeth 30, Muntakhib Ahadeeth Ilmo Zikr).

Concepts:

C1: Densities and Distributions (CDF)

C2: Uniform

C3: Gammas

C4: Normal

C5: Location Scale Families

On the work done by Al-Khwarizmi, J. J. O'Connor and Edmund F. Robertson said:^[8]

"Perhaps one of the most significant advances made by Arabic mathematics began at this time with the work of al-Khwarizmi, namely the beginnings of algebra. It is important to understand just how significant this new idea was. It was a revolutionary move away from the Greek concept of mathematics which was essentially geometry. Algebra was a unifying theory which allowed rational numbers, irrational numbers, geometrical magnitudes, etc., to all be treated as "algebraic objects". It gave mathematics a whole new development path so much broader in concept to that which had existed before, and provided a vehicle for future development of the subject. Another important aspect of the introduction of algebraic ideas was that it allowed mathematics to be applied to itself in a way which had not happened before."