Miscellaneous links

It's a good day for math blogging. Gil Kalai, guest blogging for Terence Tao, explains the weak -net conjecture for convex sets (and can I say that I'm very jealous of the impeccable LateX typesetting on wordpress.com). Leo Kontorovich presents an interesting example of the breakdown of discrete intuition from the Steele book on the Cauchy-(Bunyakovsky)-Schwarz inequality. Andy Drucker talks about why convexity arises naturally when thinking about multi-objective optimization.