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Monthly Archives: December 2010
I really liked this extremely short flash game. I felt touched by it, silly as it may sound.
As everyone knows, norm is such a function from the vector space to , that Often you have a function, and you have to check whether it’s a norm or not. The first two conditions are usually easy to verify, but the … Continue reading
Today Prof. K. told me that he considered 13 an unlucky number. He sounded only half joking. “You’re a mathematician, for —- sake, how can you say such nonsense!” – I wanted to shout at him, but instead I just … Continue reading
It is not difficult to prove that every continuously differentiable function : Must have a minumum point between two maximums and – If it has precisely one critical point, be it a local minimum or a local maximum, that point must also be a … Continue reading
This post is about the monster of the monsters, Riemann’s continuous almost nowhere differentiable function: Proving that it is continuous is simple enough; proving that it doesn’t have the derivative almost everywhere is more complicated. (It is differentiable on a … Continue reading
Here is a funny function that I could’t wrap my mind around as a freshman: if , and . It is both continuous and differentiable, the derivative at zero is 1, because: but at the same time – and that is … Continue reading
I think I’ll start by posting something pretty and simple. Here is a surface I call ‘bi-helicoid’. It’s nothing special, I just like the way the colors came out.