## 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…

## 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:…

## 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…

## 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…

## The Mystery of the Missing Money – One Rupee

Puzzle Two women were selling marbles in the market place -- one at three for a Rupee and other at two for a Rupee. One day both of then were obliged to return home when…

## Understanding Poincaré Conjecture

Introduction & Statement of Poincaré Conjecture In 1904, the french Mathematician Henri Poincaré posed an epoch-making question in one of his papers, which asked: If a three-dimensional shape is simply connected, is it homeomorphic to…

## Cosmic Radiations – East West Effect -Discovery of Positron- Cosmic Ray Showers

Cosmic Rays or Cosmic Radiation Soon after 1900 it was shown by scientists that the air in an ionisation chamber, which was completely protected against penetration of α , β and γ rays, by surrounding…

## Rayleigh- Jean’s Law

Lord Rayleigh on classical limes made an attempt to explain the energy distribution in black body radiation, which was completed by Jeans in 1900. The result obtained by then is known as Rayleigh - Jean's…

## Wein’s Laws

Various workers tried to explain the problem of energy distribution in black body radiation and finally the problem was successfully solved by German Physicist Max Planck. Before him, German Physicist Wilhelm Wein and British Physicist…