That's very bad approach... I can say that a cylinder size of earth and some charged object ,size of a bull dog and and then calculate V(r) since cylinder is effectively infinite .....lol
@BalarkaSen How do you know there aren't people who actually believe that? (Of course not in the sense that these is nothing else on the internet, but in the sense that the other things are somehow lesser)
@ACuriousMind Good guess? People involved in the meme culture have a heightened sense of humor, so usually they can tell the difference between what are worthless jokes that are only their for cheap entertainment and the vast wide world which is known as "The Internet"
In fact that's part of the meme behind saying "memes are the internet"
@BalarkaSen See, there's that off-putting arrogance again - "heightened sense of humor". That's not a joke, that's you literally saying those not participating in your subculture are deficient in the humor department.
@ACuriousMind You seriously think saying a certain group of people have heightened sense of humor is belittling the others not involved in the group? So saying to someone that he doesn't appreciate 100 levels of irony and saying they don't find disgusting filth as funny is putting them beneath the others?
@BalarkaSen Not finding something funny is different from having a heightened or lowered sense of humor. People can find very different things funny, that's okay. Saying that your sense of humor is higher because you find certain things funny is the problematic phrasing here.
Ah, I see what you are annoyed about. But you get what I mean, right? I didn't mean to say meme humor is in any sense the greatest level of humor on earth or anything
Just that it's a specific form of humor that people outside of the meme culture would find hard time appreciating
Eg, saying "internet is meme" is such an example. You didn't get that I was actually making a joke when I said that
@Xasel That's a standard approach, so you'd better get used to it. And while there is often some relatively sloppy language, it is important to think carefully about just why it is justified (which it is) and what the limits of that justification (and therefore of the formalism and the language that encodes it) are.
The identification of "long" as a shorthand for "long enough to be effectively infinite" is pretty much the only thing that "long" means in a technical setting.
Yeah. The space of germs at $p$ is defined as follows; look at all the smooth functions defined around some (unspecified) neighborhood of $p$
And define the following equivalence relation
If $f$ and $g$ are smooth functions on $U$ and $V$ respectively where $U$ and $V$ are neighborhoods of $p$, say $f \sim g$ if $f = g$ on some open subset $W \subset U \cap V$ containing $p$
"Schwarzschild's paper is strange to modern eyes, however, in that, when he considers positively curved space, he only discusses $RP^3$, which he calls \the simplest of the spaces with spherical trigonometry." In fact, he explicitly rejects $S^3 $as a physically acceptable model for spatial geometry, on the grounds that the light emitted from a point in $S^3$ would collect again at the antipode, and 'one would not consider such complicated (sic) assumptions unless it were really necessary'."
Scharzschild wrote about spacetime topology in 1908
@BalarkaSen So apparently the Yamabe error is that he messed up the order of Lp embeddings. The large ones embed in the small ones. He did the opposite