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Proofs of Irrationality
”Irrational numbers are those real numbers which are not rational numbers!” Def.1: Rational Number A rational number is a real number which can be expressed in the form of where and are both integers relatively prime to each other and being non-zero. Following two statements are equivalent to the definition 1. 1. is rational if [...]
Gamma Function
If we consider the integral , it is once seen to be an infinite and improper integral. This integral is infinite because the upper limit of integration is infinite and it is improper because is a point of infinite discontinuity of the integrand, if , where is either real number or real part of a [...]
The Area of a Disk
[This post is under review.] If you are aware of elementary facts of geometry, then you might know that the area of a disk with radius is . The radius is actually the measure(length) of a line joining the center of disk and any point on the circumference of the disk or any other circular [...]
