Computational geomechanics, numerical modelling, and applied AI
Long-form notes on and reflections on various topics.
There are several mathematical statements or problems that do not make sense at all at first glance, until closely scrutinized. A detailed examination then proves that the statements are true and shows that they are completely...
In physics, there are conservation laws for quantities like mass and energy. When we say a certain quantity obeys a conservation law, we mean that the amount of that quantity in a given space and time (a...
I recently finished reading the autobiography of one of the greatest scientists of the 20th century, Richard Feynman, entitled Surely You’re Joking, Mr. Feynman. My feeling from beginning to end was ‘why was I so late...
The ever increasing power of computers has enabled mathematicians to calculate $latex \pi$ to several decimal places. The current record stands at 13.3 trillion digits (as of October 8, 2014) and the computation took 208 days....
I always wanted to visit Japan. And no, that is not a cliché - I really wanted to. Growing up, there were many reasons that shaped my impression of Japan. Watching the TV series Oshin as...
There is a logic puzzle which is claimed to have been written by Albert Einstein when he was a boy, even though there is no tangible evidence for that. There are different versions of the puzzle with...
After recently reading The Autobiography of Benjamin Franklin, I wanted to share something that made him one of the most notable people that walked on our earth. He came up with his famous 13 virtues in...
They say technology is 25 years ahead of what the public is told or knows. There is some truth to that statement when you closely look at the various researches undertaken by top tech companies or...
Pictures tell a story way better than words. And in the language of nature which is mathematics, words are often too few. Finding easier ways to explain abstract math concepts can be very helpful. There are...
Fractals are fascinating. A fractal is a self-repeating pattern of some sort which appears exactly the same at all magnification levels. Mathematicians are especially interested in fractals and have studied them over a long period of...
Google has gone a long way in its quest to digitize every book on the planet that is ever published, amid a stern resistance from some parties. One interesting result out of this humongous project is...
Some of my favorite books.