Part Time Scholar

Time flies and it has been two years since my last post.  Somehow this important pastime has not seen much investment of my time in Hong Kong. I was watching the movie 21 the other night, which was about a team of MIT students breaking bank at Vegas casinos.  The movie was entertaining as it has (some) action, romance, a twist, and most importantly, math, packed into two hours of lights-out.  I learnt how to improve your odds at Blackjack, by working in a team and assigning a count to a table based on the number of dealt high and low cards.  The part that really caught my attention however, was when professor Rosa was teaching the Monty Hall problem through his interaction with his A-student and soon-to-be recruit, Ben Campbell.  This problem is often depicted in the form of a game show.  The grand prize, a car, is waiting behind one of three closed doors.  When the contestant picks Door A, the game show host, who knows exactly which door the car...

It has been five years since my last post.  The 9 to 5 and life in generally have taken my attention elsewhere.  However, I still do my best to pick up the pen from time to time.  Although time is a luxury, I recently managed to squeeze in a quick read called Out of the Maze , by the famous author Spencer Johnson, who co-penned the bestseller  Who Moved My Cheese  some years ago. If Who Moved My Cheese challenges us to embrace change, then Out of the Maze tells us just how to do it.  While it is easier said than done for most people, the ideas preached are surprisingly easy to grasp. Some points may seem overly obvious but perhaps this is why so many overlook them.  The story of the mice, Hem and Haw, continue to take center stage in this sequel. A new star, Hope, joins the mix and becomes Hem's new companion in their quest to finding a new food supply.  The underlying message is to challenge our beliefs, especially those that are so deeply e...

It is better to aim high and fail than to aim low and succeed.  -PTS

Television often depicts people living perfect lives without any imperfections.  I simply strive to live an imperfect life to perfection.  -PTS

I recently stumbled upon a mathematical problem known as the  Stable Marriage Problem (SMP).  Per Wikipedia, the problem is commonly stated as: Given N men and N women, where each person has ranked all members of the opposite sex with a unique number between 1 and n in order of preference, marry the men and women together such that there are no two people of opposite sex who would both rather have each other than their current partners. If there are no such people, all the marriages are "stable". The SMP has real-life applications to any problem requiring stable pairing of two sets of equal size. In fact, this problem is always solvable using the Gale-Shapley algorithm . There is a rather big catch however.  While the marriages are always stable, they may not be ideal from the vantage point of an individual.  To illustrate this, imagine three men A,B,C and three women X,Y,Z. Here are their ranked preferences for members of the other group:...

Here is a great video  from Brian Greene, renowned theoretical physicist and author of The Elegant Universe , among various books.  The video touches on a number of hot concepts of the day, from inflation, dark matter, string theories, to explaining why we are indeed living in a multi-verse. -PTS

You can certainly fit a square peg into a round hole. Just make the square peg smaller.  -PTS