There’s been a lot written about Fourier Transforms over the years. From a physics perspective, I would recommend the Harmonics chapter in the Feynman Lectures on Physics. I also found Elan Ness-Cohn’s visual explanation of Fourier Transforms really satisfying. In the notes linked below, I have tried to give, in 5 short pages, the intuition … More Algebraic Intuitions behind Fourier Transforms
Have you ever wondered why the natural exponential function shows up so frequently in mathematical inequalities? Here’s a graph of the natural exponential function. The constant e has a special place in mathematics, which is beautifully chronicled in Eli Maor’s book [M94]. The definition of e that is most useful and intuitive for our purpose … More Natural Exponential Functions in Inequalities
I have just returned from my annual pilgrimage to Singapore and here are some interesting optics that caught my attention during this trip. I have seen this sign multiple times before at Pasir Ris Park from previous trips. But this trip is the first time I encountered a 3-D version when this lone ranger popped … More Interesting Singapore Optics
I moved the white clouds into a bigger pond under the deck in preparation for the onslaught of Canberra winter. Here they are on 11 June. Plus some friends, on the same day. I didn’t see them for most of August, but I kept feeding every few days, hoping somehow they can beat the odds. … More Winter Tales – Part 2
2018 Canberra Balloon Spectacular — a 5:30am start to the day but the view was worth it. I set up a small pond in the yard and it has turned into a water hole for all the thirsty bees and wasps from the area. One of the unpleasant summer chores is removing these big huntsman … More Random Summer Pics
Can you see the baby fry in the photo? I set up a small backyard pond over the new-year break and put in a few white cloud minnow, a hardy fish that is known to be able to survive Canberra’s winter. Nice surprise to be greeted with baby white clouds this morning.
I stayed at my sister’s new place in Pasir Ris in my latest trip to Singapore and were treated to a different side of the island nation. This is what I wake up to every morning. Changi Airport is just to the right of the photo and we can see planes coming up and down … More A Different Side of Singapore
After roaming around Asia the past couple of years, 2016 was a relatively quiet year in terms of trips. We didn’t do many, but what we did we enjoyed. 10 Jan – Mount Ainslie, Canberra. 7 March – Australian Institute of Police Management at Manly, Sydney 26 March – Mount Pinnacle, Canberra 23 April – … More 2016 Memorable Trips
Mental Models 4 Life 