Recent content by wrobel

Why don't you write down formulas?

To me, the best way to visualize ##\text{SO}(3)## is as a rigid body with a fixed point. In particular by examining its motion through Euler angles, it becomes clear that ##\text{SO}(3)## is a fiber bundle with base ##\mathbb S^2## and fiber ##\mathbb S^1##.

I am referring to the eighties. You understand. Now, let me tell you a joke, and you will truly laugh. Except it is not actually a joke, but the truth. I was close friends with that guy from Bulgaria. After school, I would walk him home; he lived with his parents in a building for diplomatic...

I've noticed many times how jokes translated from one language to another lose their humor. Has anyone actually looked into this? Has anyone tried researching this question? Why does this happen? I had a classmate from Bulgaria. Back then, our cultures were especially close. Before he picked up...

Russian is good for it, yes, but to my taste, Polish is a bit richer, and English is far behind these two.

I read somewhere that heavy swearing in Slavic languages has literally esoteric origins

Yeah, I've got a feeling it's gonna end up like that.

Ok, but I have already explained myself in #3, haven't I? That's just how it looks. The theorem follows almost directly from the implicit function theorem, even if it takes some technical effort. It's a physics/mechanics text, so I don't want to overload it with analysis. So that's why I'd...

This is a snippet from a paper I'm writing right now. And yeah, obviously, I know how to use Google and AI. Plus, I'm sure this theorem has to be in a textbook somewhere.

Could anyone provide a reference to the text where the following theorem appears?

I am not a specialist in this field but it looks like ##1+(1-(1+(1-x)))## and I think that such operations must be considered in ##\mathbb{Z}_2##

Wassily Kandinsky?

dang Happens

Critical review of the article cited in the original post

Mechanics is an inherently nonlinear science with plenty of counterintuitive effects. I believe that trying to explain everything on hand-wavy level is not only counterproductive, but actually harmful. Two forces act on the rigid body: the string tension and gravity. They cause precession...