Are you here to kill me.....I know what is this....I've seen one before...many many years ago...It belonged to a man i met in a half remembered dream....a man possessed those some radical notions..............A conversation between @rob and @Gortaur
If you are given a task of performing an inception of a mathematical idea into someone's mind which one would you choose......how would you go about doing it
could anybody tell me the following: I've found a possible typo in one journal paper from 2009. shall I report it to them? the typo is: talking about CDFs (cumulative distribution functions) the author writes PDF (usually probability density function)
In response to the community's feedback on this contest, we've
decided to cancel it. We never intended to favor quantity over
quality, but we can see how this contest missed the mark.
We appreciate all the constructive criticism regarding this idea.
In case you haven't seen the cont...
I think I remember seeing somewhere here an advice about google books - that sometimes changing books.google.com slightly can help if the page is not viewable.
IIRC it was books.google.cn - but I'm not sure?
Does anybody know?
(I had not idea why it should work, but I think it did when I tried it back then.)
@JonasTeuwen The thing is not that you have to agree with all of these tips, but being aware of them helps: breaking the rules consciously is certainly better...
I don't even get as far as you do. There are two (i)'s and two (ii)'s and no prose that attempts to tell the reader what the connection between them is.
@Clash There's a rule (a^u)^v=a^(u*v). Because of this rule, a^u^v is usually taken to mean a^(u^v), because that's the variant that doesn't have a notation already.
Well, in the other case they do sup_{t > 0} |u(x, t)| instead of sup_{t > 0} |(P_t * u)(x)|. Then we do have of course that lim_{t -> 0} P_t * u(x) = u(x).
There is some strange thingie as well. Fefferman says that the result for p = 1 is proven in some other paper. But there they prove this for {z : z = x + i y with Im y > 0}. Probably there is a connection which I'm missing at the moment.
The professor of the course "Advanced topics in analysis" didn't like it that I wrote "By a result that is well-known by those that know it well" :D. 8.5/10 anyway.
@robjohn One basic -- maybe silly -- intuition I have about this is to consider the \ell^1-norm ball in finite dimensions: in the real version you really just have the 2n standard basis vectors as extremal points while in the complex version you have n Euclidean circles. In this sense complex norm estimates always carry some Euclidean stuff in them...
@robjohn no, my point is that this is not true (not even in one dimension). Each "standard" copy of C in C^n with the l^1 norm carries the Euclidean norm.
@robjohn Well, the ell^1 norm on C is the usual absolute value on C This is not the same as the ell^1 norm on R^2 which is a square. Similarly in C^2: the first complex 1-dimensinoal coordinate has the usual absolute value of C and the second one too. While the unit ball in R^4 with the l^1 norm is the convex hull of 8 points.
Nothing Euclidean there (as opposed to the complex case).
@JonasTeuwen say if the approach region were a paraboloid that is tangential to R^d rather than a cone. Then some of the approach paths would be tangential to R^d.
@HenningMakholm No it isn't taught that way, but I believe it's a form of "playing it safe" if you're uncertain and a way to lure yourself into believing that you avoid handwaving. You're "more precise" that way. One basic instance of this is that many, many, many students write f = lim f_n in functional ananlysis without even saying what norm they're using but it looks way more precise than the simple f_n -> f in L^p.
Unrelated: I think my answer here is quite a bit better than the one-line answer to the question it was closed in favor of. If I copy/paste my answer over to the "original" question, should I then delete my first answer?
If I understand correctly, "merging" would lose us the title of the recent duplicate, right? (The duplicate is probably easier searchable than the original here).
@AsafKaragila Exactly. I think a downvoted question with no activity and low views is deleted after thirty days. Here's an examle (10k-link, obviously)
@HenningMakholm No, I don't think so. I'll look for an example of how it looks.
@HenningMakholm Here's an example: the source question, the destination question. Jesse's answer was the accepted one on the source thread. While Jonas's answer was accepted on the destination question already before they were merged
Thus, the question isn't deleted.
@AsafKaragila Oh, that. I found that pretty off-putting, actually.
@Gortaur Don't worry not at all. You were talking about you and your wife (probably connected to commuting or something) and then you asked me if I was married or had kids.
@tb that's good. Btw, if one interprets 5 stars in the wrong way, (s)he may think that you have 5 suitors here
@JonasTeuwen that was Rajesh I believe. Theo didn't ask me, he just said that I'm paranoid. Taking into account our joint discovery with @rob that does not seem too wrong )
@robjohn Still there? I have a small question. In the Fefferman-Stein paper they first take the harmonic functions on R^d x (0, infty). However, in Grafakos or Stein or whatever there is proved that elements in H^1 are merely integrable. So will the Fefferman-Stein space not be smaller?
(If this is annoying I will ask it on the main site).
"In Krantz's book A Primer of Mathematical Writing, p. 76, he instructs us: "do not give in-text biblographic references that have the form `see Dunford and Schwartz' (for those not in the know, [DS] is a three volume work totaling more than 2500 pages). "
My commutative algebra lecturer frequently says, "see Lang"...
@JonasTeuwen H^p functions were originally boundary values of harmonic functions, so making the functions in R^d x (0,\infty) harmonic is the same as taking P_t to be the Poisson kernel. Using other P_t kernels, would mean generalizing the function on R^d x (0,\infty). That's my guess, since I haven't read all the papers you mentioned.
So the space with harmonic functions would seem to be smaller.
No, Grafakos, was at UCLA until 1989, so he was there while I was an asst prof at UCLA. I didn't teach too many grad students, so I may not have known him, but I probably had run into him.
@ZhenLin Perhaps he means go and have tea with Lang. This would not have been as bad when I was a grad student, since Lang was still alive.
We've come to rename Markdown to Letdown in the C++ chat room because it lets you down so often. I've now just found a pattern.
It seems markdown fails for multi-line messages. That is, this
Letdown can't cope with multi-line comments.
Let's see code?
fails to display code marked as co...
Does the set of conditions on the kernel K which are given as follows have a name? We have the size estimate, the Hörmander condition and the cancellation condition.
Eh. Strapped for finances. Borrowing neighbors food. Landlord's dealer owe's me cash so I can stay afloat a bit. Have no gas money, pawned my Wii and laptop (put my files on an external HD). Looking for a second job.
A good plus though: I found out the local library has linux computers that don't require ID login, so (effectively) infinite usage is allowed and it has firefox/chromium.
current one is phone surveys. looking for another at either a library/bookstore or some kitchen. (my first impression of the library computers was very low; 30-min tops per day, but I didn't see the linux workstations)
I advertised over craigslist (linking to my mse account even), but only like one or two people take up the offer a month. Which is disappointing, because I'm sure there are people in undergraduate courses who could use my help. (Maybe I could go to the local campus and advertise myself though...)
@balpha: How come none of my feature requests have been addressed to by any diamond user? You guys say that you monitor local meta sites, and it sure seems like that... however nothing on feature requests is a bit upsetting at times.
I sleep from time to time. The sleep itself is mostly for the body, mentally I am fully awake during my dreams, and my sleep has little to no quality whatsoever.
@Matt How would you define nightmares? I have experienced so many twisted things in my dreams. Actually waking up screaming, or something occurs very very very rarely, though.
@Matt I sometimes die in dreams. The first few times it was scary, and I'd wake up feeling weird. It's not very common, but I stopped feeling extra-strange about it. After the first few times I would stop waking up after I die too. I'd experience this strange limbo, where you are aware of yourself but you aware that something is wrong... that is when I wake up.
In response to the community's feedback on this contest, we've
decided to cancel it. We never intended to favor quantity over
quality, but we can see how this contest missed the mark.
We appreciate all the constructive criticism regarding this idea.
In case you haven't seen the cont...
We've come to rename Markdown to Letdown in the C++ chat room because it lets you down so often. I've now just found a pattern.
It seems markdown fails for multi-line messages. That is, this
Letdown can't cope with multi-line comments.
Let's see code?
fails to display code marked as co...
