50 Years of ISRO:  Hits and misses in India's space journey From launching small rockets of just 30-70 kg payloads to carrying 4,000 kg payloads to the outer space, ISRO has much to celebrate when it comes to space achievement Indian Space Research Organisation ( ISRO ) has come a long way since its formation on August 15, 1969. From launching small rockets of just 30-70 kg payloads to carrying 4,000 kg payloads to the outer space, ISRO has much to celebrate when it comes to space achievements. India's space journey began after Dr Vikram Sarabhai formed Indian National Committee for Space Research (INCOSPAR) in 1962, a time when 'space' as the scientific field had emerged as the next frontier for the human race. At that time, the United States and the  Soviet Union  were leading the space dominance. In 1969, INCOSPAR was renamed as ISRO (Indian Space Research organisation). ISRO was formed with a vision to "harness space technology for national development while pu...

Geometric Proof of the Difference of Squares: a² - b² The  difference of two squares  is subtracting a square number from another squared number. And these numbers don’t have to be perfect squares. Thankfully, the difference of squares can be factored easily. a² - b²  is ubiquitous in mathematics and it is also supercalifragilisticexpialidocious for algebra. If we speak algebraically: (a + b) (a - b) = a² + ba - ab -b² = a² - b² But there is a different and beautiful way to represent  a² - b² . We can create multiple representations of this single concept. This is the beauty of mathematics. For instance, geometric objects are so powerful to visualize algebraic formulas and equations. Let’s think about it geometrically a little bit. This blue shape below has an area of  a² - b² . And we can reveal an algebraic identity by  rearranging.          To do this, first, we make a cut and split the shape into two different rectangles; the bl...

Zer 0  is nothing but a number  Zero has brought us such a large number of unintended outcomes since it’s an introduction to the world. Individuals were murdered due to zero. A billion-dollar warship was demolished due to zero. Understudies fizzled due to zero.                                                                                                                                                   The computer you’re reading this article on right now runs on binary strings of zeros and ones. Without zero, modern electronics wouldn’t exist. Without zero, there’s no calculus, which means no modern engineering or a...