Thursday 27 February 2014

Chess moves: how many are there?

Source: The Guardian


In Paul Hoffman's book King's Gambit: A Son, a Father and the World's Most Dangerous Game (published by Hyperion in New York in 2007), he states that: "In practice the possibilities in chess are boundless, although theoretically it is a mathematically finite activity – there are, for example, 988 million positions that can be reached after four moves for white and four for black." Can that figure possibly be correct? It seems far too big a number after so few moves for each side. And is the often quoted "fact" that there are more possible moves in a chess game than there are atoms in the universe really correct?

Find the discussions at - The Guardian - Notes & queries

One of the readers Mr. Ivanovich responds -
There are at least 100000000000000000000000000000000000000000 (10^39) times as many moves in chess as there are atoms in the universe.

The review of the book at The New York Times - 64 squares



Tuesday 25 February 2014

JC Bose and the Radio

In 1895, Jagadish Chandra Bose demonstrated publicly the use of radio waves in Calcutta (now called as Kolkata), but he was not interested in patenting his work and pursued it purely as a scientific endeavour. Bose ignited gunpowder and rang a bell at a distance using microwaves (electromagnetic waves with the wavelength in the range of millimetres), confirming that communication signals can be sent without using wires.

Bose demonstrated the ability of the electric rays to travel from the lecture room, and through an intervening room and passage, to a third room 75 feet distant from the radiator, thus passing through three solid walls on the way, as well as the body of the chairman (who happened to be the Lieutenant-Governor). The receiver at this distance still had the energy enough to make a contact which set a bell ringing, discharged a pistol, and exploded a miniature mine. To get this result from his small radiator, Bose set up a circular metal plate at the top of a 20-foot pole in connection with the radiator and a similar one with the receiving apparatus (the first modern day ‘antennae’).

Encouraged by this success, Bose planned to fix one of these poles on the roof of his house and the other on the Presidency College a mile away – but he left to England before putting into place. The Daily Chronicle reported, “the inventor has transmitted signals to a distance of nearly a mile and herein lies the first and obvious and exceedingly valuable application of this new theoretical marvel.” 



After his presentations at the Royal Institution, The Electric Engineer expressed “surprise that no secret was at any time made as to its construction, so that it has been open to all the world to adopt it for practical and possibly money-making purposes.’  Bose was sometimes criticised as unpractical for making no profit from his inventions but he was determined that whatever offerings (like the flowers offered in Indian worship) his life could make should be untainted by any considerations of personal advantage.

Many contemporary scientists like J J Thomson and Poincare also described Bose’s experiment and the apparatus (extremely compact for its time and also considering that it was made in Calcutta with limited resources at that time was truly a stroke of genius) in their textbooks. Bose was more than a year ahead of Guglielmo Marconi in demonstrating the wireless technology. Bose deserves to be the “Father of Wireless Telegraphy”.

Bose also went on to develop the use of galena crystals for making receivers for radio waves, white light and ultraviolet light. Sir Neville Mott, who won the Nobel Prize in 1977 for his contributions to solid state electronics, stated that “J C Bose was at least sixty years ahead of his time.. In fact, he had anticipated the existence of p-type and n-type semiconductors.”

Primary reference: The Life and Work of Sir Jagadis C Bose by Patrick Geddes (Published in 1920)