In 1904, the french Mathematician Henri Poincaré (en-US: Henri Poincare) posed an epoch-making question, which later came to be termed as Poincare Conjecture, in one of his papers, which asked: If a three-dimensional shape is simply connected, is it homeomorphic to the three-dimensional sphere? Henri Poincare - 1904 So what does it really mean? How…

Wondering what Cosmic Radiation & Cosmic Ray Showers are and how these are formed? If you are, you are at the perfect place. Cosmic radiation and cosmic ray showers are some of the most intriguing and fascinating phenomena in the universe. While the term "radiation" may have negative connotations, cosmic radiation is a natural occurrence…

Lord Rayleigh made an attempt to explain the energy distribution in black body radiation, which was completed by Jeans in 1900. The results obtained by then are known as Rayleigh-Jeans' Rules on Black Body Radiation. The law covering these rules is called Rayleigh Jean's Law. The black body emits radiation of continuously variable wavelengths right…

Various physicists tried to explain the problem of energy distribution in black body radiation, and finally, German Physicist Max Planck successfully solved the problem. Before him, German Physicist Wilhelm Wein and British Physicist Lord Rayleigh & James Jean have tackled this problem and have given important laws. In fact, the work of their scientists paved…

Derivative of x squared As we know, the derivative of x squared, i.e., differentiation of $ x^2$ , with respect to $ x$, is $ 2x$. i.e., $ \dfrac{d}{dx} x^2 = 2x$ A Curious Case Suppose we write $ x^2$ as the sum of $ x$ 's written up $ x$ times. i.e., $ x^2…

Consider a sequence of functions as follows:- $ f_1 (x) = \sqrt {1+\sqrt {x} } $ $ f_2 (x) = \sqrt{1+ \sqrt {1+2 \sqrt {x} } } $ $ f_3 (x) = \sqrt {1+ \sqrt {1+2 \sqrt {1+3 \sqrt {x} } } } $ ......and so on to $ f_n (x) = \sqrt {1+\sqrt{1+2 \sqrt…

This is one of the top mysteries of universe.

Well, in today’s era, where we all are just running to meet our deadlines and progressing at a massive rate, we forget that we are mere tenants on this planet Earth. It is so aching to see natural water bodies dying just because of human intervention and growing industrialization. At times the situation is so…

Stars The universe is vast and amazing. There are many millions of trillions of stars in the sky, most of them being bigger than our sun. Stars account for 98% of the matter in a galaxy. The rest of 2% consists of interstellar or galactic gas & dust in a very attenuated form. The normal…

The environment is contaminated in numerous ways. Plastic on the land, sewage in the water, carbon in the air. But not every substance is radioactive and not every pollution is radioactive pollution. There is a category of atoms that try to become a stable isotope from its unstable state. This process involves emission of radioactivity.…

Chemistry is a strange subject and to discover great things, Chemists had to suffer great as well. Here are 5 chemists killed or injured by their experiments. Karl Scheele He died while testing his discoveries. Scheele was a brilliant pharmaceutical chemist who discovered many chemical elements-Oxygen, Molybdenum, Tungsten, Manganese and Chlorine. He also discovered a…