Lebesgue Measure & Integration - Frank Burk : Summary

Lebesgue Integration is usually introduced in either one of the two ways , in most of the books. Either using measure theory OR skipping measure theory altogether and using approximating functions like step functions, monotone functions etc. The second approach is usually taken so that one can actually understand all the concepts of Lebesgue integral with out going through measure theory. However that approach would make it difficult for a reader to connect Lebesgue Integral and concepts relating to stochastic processes.

Avoid News!

Via Rolf Dobelli News misleads us systematically News is irrelevant News limits understanding News is toxic to your body News massively increases cognitive errors News inhibits thinking News changes the structure of your brain News is costly News sunders the relationship between reputation and achievement News is produced by journalists Reported facts are sometimes wrong, forecasts always News is manipulative News makes us passive News gives us the illusion of caring News kills creativity

Rise of picosecond Trading

Via efinancialnews.com But in recent weeks trading geeks have started to talk about picoseconds in what is a truly mind-boggling concept: a picosecond is one trillionth of a second. Put another way, a picosecond is to one second what one second is to 31,700 years. Why on Earth (which spins at a rate of 460 meters a second) is it necessary to trade so fast? The answer is simple. Firms that trade super fast effectively put themselves at the front of the trading queue and have priority over other orders.

Quote for the day

“Always produce” is a heuristic for finding the work you love. If you subject yourself to that constraint, it will automatically push you away from things you think you’re supposed to work on, towards things you actually like. “Always produce” will discover your life’s work the way water, with the aid of gravity, finds the hole in your roof. - Paul Graham