## I wanna love you, but I better not touch

Here’s a classic puzzle: you are a rather evil King. You have 1000 bottles of wine. Exactly one is poisoned. You need to find out which one. You have 10 prisoners. You can use them to test the wine. Now, … Continue reading

Posted in Elementary | Tagged | 2 Comments

I was very excited to learn that there is a song titled Smooth Operator. Unfortunately, its actual content turned out to be very disappointing. Pity. We need more songs about smooth operators. And dense sets, and Banach spaces.

Posted in sillyness | 3 Comments

As you know, there exists a bijection . Cantor demonstrated that. You even know how to construct this bijection: if and their decimal expansions are and then . It may be slightly more complicated than that, because in order to … Continue reading

Posted in Math, pretty pictures | Tagged | 1 Comment

## Outside In

Yes, yes, you have already seen this highly awesome video and you are aware of Smale’s paradox. But for as long as there is a possibility, no matter how remote, that some poor soul out there doesn’t know about these … Continue reading

## Fun with restrictions

If is a function, let us call a restriction of to . Let’s analyze one nice and pretty surprising fact concerning restrictions. Fact: Suppose we have a function of two variables and it’s restriction to every straight line going through … Continue reading