 On World Math Day – Do A Simple Self-Test to Identify a Creative Mathematician in You

There are many mathematicians, chemists, musicians, painters & biologists among us. But they are unaware of their qualities. Only some small suggestive strokes are needed for them. Unless one tells them, they will not know how great they are. Here is a small self test. Do you enjoy music, drums and dance? Do you enjoy looking at the flowers, carpets,… The Collatz Conjecture : Unsolved but Useless

The Collatz Conjecture is one of the Unsolved problems in mathematics, especially in Number Theory. The Collatz Conjecture is also termed as 3n+1 conjecture, Ulam Conjecture, Kakutani’s Problem, Thwaites Conjecture, Hasse’s Algorithm, Syracuse Problem. Statement: Start with any positive integer. • Halve it, if it is even. Or • triple it and add 1, if it is odd. If you… Dirichlet’s Theorem and Liouville’s Extension of Dirichlet’s Theorem

Topic Beta & Gamma functions Statement of Dirichlet’s Theorem $\int \int \int_{V} x^{l-1} y^{m-1} z^{n-1} dx dy ,dz = \frac { \Gamma {(l)} \Gamma {(m)} \Gamma {(n)} }{ \Gamma{(l+m+n+1)} }$ , where V is the region given by $x \ge 0 y \ge 0 z \ge 0 x+y+z \le 1$ . Brief Theory on Gamma and…

The Lindemann Theory of Unimolecular Reactions

[ Also known as Lindemann-Hinshelwood mechanism.] It is easy to understand a bimolecular reaction on the basis of collision theory. When two molecules A and B collide, their relative kinetic energy exceeds the threshold energy with the result that the collision results in the breaking of comes and the formation of new bonds. But how can one account for a… 